1,1,61,0,6.726021," ","integrate(1/(cos(z)+sin(z)+2**(1/2)),z)","- \frac{198}{- 239 \tan{\left(\frac{z}{2} \right)} + 169 \sqrt{2} \tan{\left(\frac{z}{2} \right)} - 70 \sqrt{2} + 99} + \frac{140 \sqrt{2}}{- 239 \tan{\left(\frac{z}{2} \right)} + 169 \sqrt{2} \tan{\left(\frac{z}{2} \right)} - 70 \sqrt{2} + 99}"," ",0,"-198/(-239*tan(z/2) + 169*sqrt(2)*tan(z/2) - 70*sqrt(2) + 99) + 140*sqrt(2)/(-239*tan(z/2) + 169*sqrt(2)*tan(z/2) - 70*sqrt(2) + 99)","B",0
2,0,0,0,0.000000," ","integrate(1/((1-x)**(1/2)+(1+x)**(1/2))**2,x)","\int \frac{1}{\left(\sqrt{1 - x} + \sqrt{x + 1}\right)^{2}}\, dx"," ",0,"Integral((sqrt(1 - x) + sqrt(x + 1))**(-2), x)","F",0
3,1,14,0,0.378361," ","integrate(1/(1+cos(x))**2,x)","\frac{\tan^{3}{\left(\frac{x}{2} \right)}}{6} + \frac{\tan{\left(\frac{x}{2} \right)}}{2}"," ",0,"tan(x/2)**3/6 + tan(x/2)/2","A",0
4,0,0,0,0.000000," ","integrate(sin(x)/(1+x)**(1/2),x)","\int \frac{\sin{\left(x \right)}}{\sqrt{x + 1}}\, dx"," ",0,"Integral(sin(x)/sqrt(x + 1), x)","F",0
5,1,838,0,5.673904," ","integrate(1/(cos(x)+sin(x))**6,x)","- \frac{30 \tan^{9}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} + \frac{120 \tan^{8}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} - \frac{200 \tan^{7}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} - \frac{40 \tan^{6}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} + \frac{236 \tan^{5}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} + \frac{40 \tan^{4}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} - \frac{200 \tan^{3}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} - \frac{120 \tan^{2}{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15} - \frac{30 \tan{\left(\frac{x}{2} \right)}}{15 \tan^{10}{\left(\frac{x}{2} \right)} - 150 \tan^{9}{\left(\frac{x}{2} \right)} + 525 \tan^{8}{\left(\frac{x}{2} \right)} - 600 \tan^{7}{\left(\frac{x}{2} \right)} - 450 \tan^{6}{\left(\frac{x}{2} \right)} + 1020 \tan^{5}{\left(\frac{x}{2} \right)} + 450 \tan^{4}{\left(\frac{x}{2} \right)} - 600 \tan^{3}{\left(\frac{x}{2} \right)} - 525 \tan^{2}{\left(\frac{x}{2} \right)} - 150 \tan{\left(\frac{x}{2} \right)} - 15}"," ",0,"-30*tan(x/2)**9/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) + 120*tan(x/2)**8/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) - 200*tan(x/2)**7/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) - 40*tan(x/2)**6/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) + 236*tan(x/2)**5/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) + 40*tan(x/2)**4/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) - 200*tan(x/2)**3/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) - 120*tan(x/2)**2/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15) - 30*tan(x/2)/(15*tan(x/2)**10 - 150*tan(x/2)**9 + 525*tan(x/2)**8 - 600*tan(x/2)**7 - 450*tan(x/2)**6 + 1020*tan(x/2)**5 + 450*tan(x/2)**4 - 600*tan(x/2)**3 - 525*tan(x/2)**2 - 150*tan(x/2) - 15)","B",0
6,1,26,0,2.809646," ","integrate(ln(1/x**4+x**4),x)","x \log{\left(x^{4} + \frac{1}{x^{4}} \right)} - 4 x - \operatorname{RootSum} {\left(t^{8} + 1, \left( t \mapsto t \log{\left(- t + x \right)} \right)\right)}"," ",0,"x*log(x**4 + x**(-4)) - 4*x - RootSum(_t**8 + 1, Lambda(_t, _t*log(-_t + x)))","A",0
7,0,0,0,0.000000," ","integrate(ln(1+x)/x/(1+(1+x)**(1/2))**(1/2),x)","\int \frac{\log{\left(x + 1 \right)}}{x \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral(log(x + 1)/(x*sqrt(sqrt(x + 1) + 1)), x)","F",0
8,0,0,0,0.000000," ","integrate(ln(1+x)*(1+(1+x)**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{\sqrt{x + 1} + 1} \log{\left(x + 1 \right)}}{x}\, dx"," ",0,"Integral(sqrt(sqrt(x + 1) + 1)*log(x + 1)/x, x)","F",0
9,0,0,0,0.000000," ","integrate(1/(1+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(1/(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
10,1,112,0,21.078426," ","integrate((1+x)**(1/2)/(x+(1+(1+x)**(1/2))**(1/2)),x)","2 \sqrt{x + 1} - 16 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + 2"," ",0,"2*sqrt(x + 1) - 16*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 < 5/4)) + 2","A",0
11,0,0,0,0.000000," ","integrate(1/(x-(1+(1+x)**(1/2))**(1/2)),x)","\int \frac{1}{x - \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral(1/(x - sqrt(sqrt(x + 1) + 1)), x)","F",0
12,0,0,0,0.000000," ","integrate(x/(x+(1-(1+x)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{1 - \sqrt{x + 1}}}\, dx"," ",0,"Integral(x/(x + sqrt(1 - sqrt(x + 1))), x)","F",0
13,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2+1)/(1+x)**(1/2),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(sqrt(x + 1)*(x**2 + 1)), x)","F",0
14,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2 + 1), x)","F",0
15,0,0,0,0.000000," ","integrate((1+x**(1/2)+(1+2*x+2*x**(1/2))**(1/2))**(1/2),x)","\int \sqrt{\sqrt{x} + \sqrt{2 \sqrt{x} + 2 x + 1} + 1}\, dx"," ",0,"Integral(sqrt(sqrt(x) + sqrt(2*sqrt(x) + 2*x + 1) + 1), x)","F",0
16,0,0,0,0.000000," ","integrate((2**(1/2)+x**(1/2)+(2+2*x+2*2**(1/2)*x**(1/2))**(1/2))**(1/2),x)","\int \sqrt{\sqrt{x} + \sqrt{2 \sqrt{2} \sqrt{x} + 2 x + 2} + \sqrt{2}}\, dx"," ",0,"Integral(sqrt(sqrt(x) + sqrt(2*sqrt(2)*sqrt(x) + 2*x + 2) + sqrt(2)), x)","F",0
17,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/x**2, x)","F",0
18,0,0,0,0.000000," ","integrate((1/x+(1+1/x)**(1/2))**(1/2),x)","\int \sqrt{\sqrt{1 + \frac{1}{x}} + \frac{1}{x}}\, dx"," ",0,"Integral(sqrt(sqrt(1 + 1/x) + 1/x), x)","F",0
19,1,65,0,3.974946," ","integrate((1+exp(-x))**(1/2)/(-exp(-x)+exp(x)),x)","2 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{1 + e^{- x}}}{2} \right)}}{2} & \text{for}\: 1 + e^{- x} > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{1 + e^{- x}}}{2} \right)}}{2} & \text{for}\: 1 + e^{- x} < 2 \end{cases}\right)"," ",0,"2*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(1 + exp(-x))/2)/2, 1 + exp(-x) > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(1 + exp(-x))/2)/2, 1 + exp(-x) < 2))","A",0
20,0,0,0,0.000000," ","integrate((1+exp(-x))**(1/2)/sinh(x),x)","\int \frac{\sqrt{1 + e^{- x}}}{\sinh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(1 + exp(-x))/sinh(x), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(cos(x)+cos(3*x))**5,x)","\int \frac{1}{\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right)^{5}}\, dx"," ",0,"Integral((cos(x) + cos(3*x))**(-5), x)","F",0
22,1,66,0,0.691945," ","integrate(1/(1+cos(x)+sin(x))**2,x)","- \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{2 \tan{\left(\frac{x}{2} \right)} + 2} - \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{2 \tan{\left(\frac{x}{2} \right)} + 2} + \frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2 \tan{\left(\frac{x}{2} \right)} + 2} - \frac{3}{2 \tan{\left(\frac{x}{2} \right)} + 2}"," ",0,"-2*log(tan(x/2) + 1)*tan(x/2)/(2*tan(x/2) + 2) - 2*log(tan(x/2) + 1)/(2*tan(x/2) + 2) + tan(x/2)**2/(2*tan(x/2) + 2) - 3/(2*tan(x/2) + 2)","B",0
23,0,0,0,0.000000," ","integrate((1+tanh(4*x))**(1/2),x)","\int \sqrt{\tanh{\left(4 x \right)} + 1}\, dx"," ",0,"Integral(sqrt(tanh(4*x) + 1), x)","F",0
24,0,0,0,0.000000," ","integrate(tanh(x)/(exp(x)+exp(2*x))**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{\left(e^{x} + 1\right) e^{x}}}\, dx"," ",0,"Integral(tanh(x)/sqrt((exp(x) + 1)*exp(x)), x)","F",0
25,0,0,0,0.000000," ","integrate((sinh(2*x)/cosh(x))**(1/2),x)","\int \sqrt{\frac{\sinh{\left(2 x \right)}}{\cosh{\left(x \right)}}}\, dx"," ",0,"Integral(sqrt(sinh(2*x)/cosh(x)), x)","F",0
26,0,0,0,0.000000," ","integrate(ln(x**2+(-x**2+1)**(1/2)),x)","\int \log{\left(x^{2} + \sqrt{1 - x^{2}} \right)}\, dx"," ",0,"Integral(log(x**2 + sqrt(1 - x**2)), x)","F",0
27,-1,0,0,0.000000," ","integrate(ln(1+exp(x))/(1+exp(2*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,0,0,0,0.000000," ","integrate(cosh(x)*ln(1+cosh(x)**2)**2,x)","\int \log{\left(\cosh^{2}{\left(x \right)} + 1 \right)}^{2} \cosh{\left(x \right)}\, dx"," ",0,"Integral(log(cosh(x)**2 + 1)**2*cosh(x), x)","F",0
29,0,0,0,0.000000," ","integrate(cosh(x)*ln(cosh(x)**2+sinh(x))**2,x)","\int \log{\left(\sinh{\left(x \right)} + \cosh^{2}{\left(x \right)} \right)}^{2} \cosh{\left(x \right)}\, dx"," ",0,"Integral(log(sinh(x) + cosh(x)**2)**2*cosh(x), x)","F",0
30,0,0,0,0.000000," ","integrate(ln(x+(1+x)**(1/2))/(x**2+1),x)","\int \frac{\log{\left(x + \sqrt{x + 1} \right)}}{x^{2} + 1}\, dx"," ",0,"Integral(log(x + sqrt(x + 1))/(x**2 + 1), x)","F",0
31,0,0,0,0.000000," ","integrate(ln(x+(1+x)**(1/2))**2/(1+x)**2,x)","\int \frac{\log{\left(x + \sqrt{x + 1} \right)}^{2}}{\left(x + 1\right)^{2}}\, dx"," ",0,"Integral(log(x + sqrt(x + 1))**2/(x + 1)**2, x)","F",0
32,0,0,0,0.000000," ","integrate(ln(x+(1+x)**(1/2))/x,x)","\int \frac{\log{\left(x + \sqrt{x + 1} \right)}}{x}\, dx"," ",0,"Integral(log(x + sqrt(x + 1))/x, x)","F",0
33,0,0,0,0.000000," ","integrate(atan(2*tan(x)),x)","\int \operatorname{atan}{\left(2 \tan{\left(x \right)} \right)}\, dx"," ",0,"Integral(atan(2*tan(x)), x)","F",0
34,0,0,0,0.000000," ","integrate(atan(x)*ln(x)/x,x)","\int \frac{\log{\left(x \right)} \operatorname{atan}{\left(x \right)}}{x}\, dx"," ",0,"Integral(log(x)*atan(x)/x, x)","F",0
35,0,0,0,0.000000," ","integrate(atan(x)**2*(x**2+1)**(1/2),x)","\int \sqrt{x^{2} + 1} \operatorname{atan}^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*atan(x)**2, x)","F",0
