1,1,88,0,2.938936," ","integrate(x**5*erf(b*x),x)","\begin{cases} \frac{x^{6} \operatorname{erf}{\left(b x \right)}}{6} + \frac{x^{5} e^{- b^{2} x^{2}}}{6 \sqrt{\pi} b} + \frac{5 x^{3} e^{- b^{2} x^{2}}}{12 \sqrt{\pi} b^{3}} + \frac{5 x e^{- b^{2} x^{2}}}{8 \sqrt{\pi} b^{5}} - \frac{5 \operatorname{erf}{\left(b x \right)}}{16 b^{6}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erf(b*x)/6 + x**5*exp(-b**2*x**2)/(6*sqrt(pi)*b) + 5*x**3*exp(-b**2*x**2)/(12*sqrt(pi)*b**3) + 5*x*exp(-b**2*x**2)/(8*sqrt(pi)*b**5) - 5*erf(b*x)/(16*b**6), Ne(b, 0)), (0, True))","A",0
2,1,65,0,0.980990," ","integrate(x**3*erf(b*x),x)","\begin{cases} \frac{x^{4} \operatorname{erf}{\left(b x \right)}}{4} + \frac{x^{3} e^{- b^{2} x^{2}}}{4 \sqrt{\pi} b} + \frac{3 x e^{- b^{2} x^{2}}}{8 \sqrt{\pi} b^{3}} - \frac{3 \operatorname{erf}{\left(b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erf(b*x)/4 + x**3*exp(-b**2*x**2)/(4*sqrt(pi)*b) + 3*x*exp(-b**2*x**2)/(8*sqrt(pi)*b**3) - 3*erf(b*x)/(16*b**4), Ne(b, 0)), (0, True))","A",0
3,1,39,0,0.364088," ","integrate(x*erf(b*x),x)","\begin{cases} \frac{x^{2} \operatorname{erf}{\left(b x \right)}}{2} + \frac{x e^{- b^{2} x^{2}}}{2 \sqrt{\pi} b} - \frac{\operatorname{erf}{\left(b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erf(b*x)/2 + x*exp(-b**2*x**2)/(2*sqrt(pi)*b) - erf(b*x)/(4*b**2), Ne(b, 0)), (0, True))","A",0
4,-2,0,0,0.000000," ","integrate(erf(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
5,1,36,0,0.476623," ","integrate(erf(b*x)/x**3,x)","- b^{2} \operatorname{erf}{\left(b x \right)} - \frac{b e^{- b^{2} x^{2}}}{\sqrt{\pi} x} - \frac{\operatorname{erf}{\left(b x \right)}}{2 x^{2}}"," ",0,"-b**2*erf(b*x) - b*exp(-b**2*x**2)/(sqrt(pi)*x) - erf(b*x)/(2*x**2)","A",0
6,1,60,0,1.147610," ","integrate(erf(b*x)/x**5,x)","\frac{b^{4} \operatorname{erf}{\left(b x \right)}}{3} + \frac{b^{3} e^{- b^{2} x^{2}}}{3 \sqrt{\pi} x} - \frac{b e^{- b^{2} x^{2}}}{6 \sqrt{\pi} x^{3}} - \frac{\operatorname{erf}{\left(b x \right)}}{4 x^{4}}"," ",0,"b**4*erf(b*x)/3 + b**3*exp(-b**2*x**2)/(3*sqrt(pi)*x) - b*exp(-b**2*x**2)/(6*sqrt(pi)*x**3) - erf(b*x)/(4*x**4)","A",0
7,1,87,0,3.015735," ","integrate(erf(b*x)/x**7,x)","- \frac{4 b^{6} \operatorname{erf}{\left(b x \right)}}{45} - \frac{4 b^{5} e^{- b^{2} x^{2}}}{45 \sqrt{\pi} x} + \frac{2 b^{3} e^{- b^{2} x^{2}}}{45 \sqrt{\pi} x^{3}} - \frac{b e^{- b^{2} x^{2}}}{15 \sqrt{\pi} x^{5}} - \frac{\operatorname{erf}{\left(b x \right)}}{6 x^{6}}"," ",0,"-4*b**6*erf(b*x)/45 - 4*b**5*exp(-b**2*x**2)/(45*sqrt(pi)*x) + 2*b**3*exp(-b**2*x**2)/(45*sqrt(pi)*x**3) - b*exp(-b**2*x**2)/(15*sqrt(pi)*x**5) - erf(b*x)/(6*x**6)","A",0
8,1,99,0,5.157408," ","integrate(x**6*erf(b*x),x)","\begin{cases} \frac{x^{7} \operatorname{erf}{\left(b x \right)}}{7} + \frac{x^{6} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b} + \frac{3 x^{4} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{3}} + \frac{6 x^{2} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{5}} + \frac{6 e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{7}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**7*erf(b*x)/7 + x**6*exp(-b**2*x**2)/(7*sqrt(pi)*b) + 3*x**4*exp(-b**2*x**2)/(7*sqrt(pi)*b**3) + 6*x**2*exp(-b**2*x**2)/(7*sqrt(pi)*b**5) + 6*exp(-b**2*x**2)/(7*sqrt(pi)*b**7), Ne(b, 0)), (0, True))","A",0
9,1,75,0,2.253643," ","integrate(x**4*erf(b*x),x)","\begin{cases} \frac{x^{5} \operatorname{erf}{\left(b x \right)}}{5} + \frac{x^{4} e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b} + \frac{2 x^{2} e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b^{3}} + \frac{2 e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*erf(b*x)/5 + x**4*exp(-b**2*x**2)/(5*sqrt(pi)*b) + 2*x**2*exp(-b**2*x**2)/(5*sqrt(pi)*b**3) + 2*exp(-b**2*x**2)/(5*sqrt(pi)*b**5), Ne(b, 0)), (0, True))","A",0
10,1,51,0,0.646104," ","integrate(x**2*erf(b*x),x)","\begin{cases} \frac{x^{3} \operatorname{erf}{\left(b x \right)}}{3} + \frac{x^{2} e^{- b^{2} x^{2}}}{3 \sqrt{\pi} b} + \frac{e^{- b^{2} x^{2}}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*erf(b*x)/3 + x**2*exp(-b**2*x**2)/(3*sqrt(pi)*b) + exp(-b**2*x**2)/(3*sqrt(pi)*b**3), Ne(b, 0)), (0, True))","A",0
11,1,24,0,0.392764," ","integrate(erf(b*x),x)","\begin{cases} x \operatorname{erf}{\left(b x \right)} + \frac{e^{- b^{2} x^{2}}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*erf(b*x) + exp(-b**2*x**2)/(sqrt(pi)*b), Ne(b, 0)), (0, True))","A",0
12,1,24,0,1.470474," ","integrate(erf(b*x)/x**2,x)","- \frac{b \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{\sqrt{\pi}} + \frac{\operatorname{erfc}{\left(b x \right)}}{x} - \frac{1}{x}"," ",0,"-b*expint(1, b**2*x**2)/sqrt(pi) + erfc(b*x)/x - 1/x","A",0
13,1,54,0,2.426709," ","integrate(erf(b*x)/x**4,x)","\frac{b^{3} \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{3 \sqrt{\pi}} - \frac{b e^{- b^{2} x^{2}}}{3 \sqrt{\pi} x^{2}} + \frac{\operatorname{erfc}{\left(b x \right)}}{3 x^{3}} - \frac{1}{3 x^{3}}"," ",0,"b**3*expint(1, b**2*x**2)/(3*sqrt(pi)) - b*exp(-b**2*x**2)/(3*sqrt(pi)*x**2) + erfc(b*x)/(3*x**3) - 1/(3*x**3)","A",0
14,1,76,0,3.394439," ","integrate(erf(b*x)/x**6,x)","- \frac{b^{5} \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{10 \sqrt{\pi}} + \frac{b^{3} e^{- b^{2} x^{2}}}{10 \sqrt{\pi} x^{2}} - \frac{b e^{- b^{2} x^{2}}}{10 \sqrt{\pi} x^{4}} + \frac{\operatorname{erfc}{\left(b x \right)}}{5 x^{5}} - \frac{1}{5 x^{5}}"," ",0,"-b**5*expint(1, b**2*x**2)/(10*sqrt(pi)) + b**3*exp(-b**2*x**2)/(10*sqrt(pi)*x**2) - b*exp(-b**2*x**2)/(10*sqrt(pi)*x**4) + erfc(b*x)/(5*x**5) - 1/(5*x**5)","A",0
15,1,746,0,9.723253," ","integrate((d*x+c)**3*erf(b*x+a),x)","\begin{cases} - \frac{a^{4} d^{3} \operatorname{erf}{\left(a + b x \right)}}{4 b^{4}} + \frac{a^{3} c d^{2} \operatorname{erf}{\left(a + b x \right)}}{b^{3}} - \frac{a^{3} d^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{4}} - \frac{3 a^{2} c^{2} d \operatorname{erf}{\left(a + b x \right)}}{2 b^{2}} + \frac{a^{2} c d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{3}} + \frac{a^{2} d^{3} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{3}} - \frac{3 a^{2} d^{3} \operatorname{erf}{\left(a + b x \right)}}{4 b^{4}} + \frac{a c^{3} \operatorname{erf}{\left(a + b x \right)}}{b} - \frac{3 a c^{2} d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b^{2}} - \frac{a c d^{2} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{2}} - \frac{a d^{3} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{2}} + \frac{3 a c d^{2} \operatorname{erf}{\left(a + b x \right)}}{2 b^{3}} - \frac{5 a d^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{8 \sqrt{\pi} b^{4}} + c^{3} x \operatorname{erf}{\left(a + b x \right)} + \frac{3 c^{2} d x^{2} \operatorname{erf}{\left(a + b x \right)}}{2} + c d^{2} x^{3} \operatorname{erf}{\left(a + b x \right)} + \frac{d^{3} x^{4} \operatorname{erf}{\left(a + b x \right)}}{4} + \frac{c^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} + \frac{3 c^{2} d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b} + \frac{c d^{2} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} + \frac{d^{3} x^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b} - \frac{3 c^{2} d \operatorname{erf}{\left(a + b x \right)}}{4 b^{2}} + \frac{c d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{3}} + \frac{3 d^{3} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{8 \sqrt{\pi} b^{3}} - \frac{3 d^{3} \operatorname{erf}{\left(a + b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \operatorname{erf}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*d**3*erf(a + b*x)/(4*b**4) + a**3*c*d**2*erf(a + b*x)/b**3 - a**3*d**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**4) - 3*a**2*c**2*d*erf(a + b*x)/(2*b**2) + a**2*c*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**3) + a**2*d**3*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**3) - 3*a**2*d**3*erf(a + b*x)/(4*b**4) + a*c**3*erf(a + b*x)/b - 3*a*c**2*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b**2) - a*c*d**2*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**2) - a*d**3*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**2) + 3*a*c*d**2*erf(a + b*x)/(2*b**3) - 5*a*d**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(8*sqrt(pi)*b**4) + c**3*x*erf(a + b*x) + 3*c**2*d*x**2*erf(a + b*x)/2 + c*d**2*x**3*erf(a + b*x) + d**3*x**4*erf(a + b*x)/4 + c**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) + 3*c**2*d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b) + c*d**2*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) + d**3*x**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b) - 3*c**2*d*erf(a + b*x)/(4*b**2) + c*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**3) + 3*d**3*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(8*sqrt(pi)*b**3) - 3*d**3*erf(a + b*x)/(16*b**4), Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*erf(a), True))","A",0
16,1,398,0,3.935382," ","integrate((d*x+c)**2*erf(b*x+a),x)","\begin{cases} \frac{a^{3} d^{2} \operatorname{erf}{\left(a + b x \right)}}{3 b^{3}} - \frac{a^{2} c d \operatorname{erf}{\left(a + b x \right)}}{b^{2}} + \frac{a^{2} d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{3}} + \frac{a c^{2} \operatorname{erf}{\left(a + b x \right)}}{b} - \frac{a c d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{2}} - \frac{a d^{2} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{2}} + \frac{a d^{2} \operatorname{erf}{\left(a + b x \right)}}{2 b^{3}} + c^{2} x \operatorname{erf}{\left(a + b x \right)} + c d x^{2} \operatorname{erf}{\left(a + b x \right)} + \frac{d^{2} x^{3} \operatorname{erf}{\left(a + b x \right)}}{3} + \frac{c^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} + \frac{c d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} + \frac{d^{2} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b} - \frac{c d \operatorname{erf}{\left(a + b x \right)}}{2 b^{2}} + \frac{d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \operatorname{erf}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*d**2*erf(a + b*x)/(3*b**3) - a**2*c*d*erf(a + b*x)/b**2 + a**2*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**3) + a*c**2*erf(a + b*x)/b - a*c*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**2) - a*d**2*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**2) + a*d**2*erf(a + b*x)/(2*b**3) + c**2*x*erf(a + b*x) + c*d*x**2*erf(a + b*x) + d**2*x**3*erf(a + b*x)/3 + c**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) + c*d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) + d**2*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b) - c*d*erf(a + b*x)/(2*b**2) + d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**3), Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*erf(a), True))","A",0
17,1,178,0,1.562292," ","integrate((d*x+c)*erf(b*x+a),x)","\begin{cases} - \frac{a^{2} d \operatorname{erf}{\left(a + b x \right)}}{2 b^{2}} + \frac{a c \operatorname{erf}{\left(a + b x \right)}}{b} - \frac{a d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b^{2}} + c x \operatorname{erf}{\left(a + b x \right)} + \frac{d x^{2} \operatorname{erf}{\left(a + b x \right)}}{2} + \frac{c e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} + \frac{d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b} - \frac{d \operatorname{erf}{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \operatorname{erf}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*d*erf(a + b*x)/(2*b**2) + a*c*erf(a + b*x)/b - a*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b**2) + c*x*erf(a + b*x) + d*x**2*erf(a + b*x)/2 + c*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) + d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b) - d*erf(a + b*x)/(4*b**2), Ne(b, 0)), ((c*x + d*x**2/2)*erf(a), True))","A",0
18,1,53,0,0.617205," ","integrate(erf(b*x+a),x)","\begin{cases} \frac{a \operatorname{erf}{\left(a + b x \right)}}{b} + x \operatorname{erf}{\left(a + b x \right)} + \frac{e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\x \operatorname{erf}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*erf(a + b*x)/b + x*erf(a + b*x) + exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b), Ne(b, 0)), (x*erf(a), True))","A",0
19,0,0,0,0.000000," ","integrate(erf(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{erf}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erf(a + b*x)/(c + d*x), x)","F",0
20,0,0,0,0.000000," ","integrate(erf(b*x+a)/(d*x+c)**2,x)","\int \frac{\operatorname{erf}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erf(a + b*x)/(c + d*x)**2, x)","F",0
21,0,0,0,0.000000," ","integrate(erf(b*x+a)/(d*x+c)**3,x)","\int \frac{\operatorname{erf}{\left(a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(erf(a + b*x)/(c + d*x)**3, x)","F",0
22,1,168,0,5.390776," ","integrate(x**5*erf(b*x)**2,x)","\begin{cases} \frac{x^{6} \operatorname{erf}^{2}{\left(b x \right)}}{6} + \frac{x^{5} e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{3 \sqrt{\pi} b} + \frac{x^{4} e^{- 2 b^{2} x^{2}}}{6 \pi b^{2}} + \frac{5 x^{3} e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{6 \sqrt{\pi} b^{3}} + \frac{7 x^{2} e^{- 2 b^{2} x^{2}}}{12 \pi b^{4}} + \frac{5 x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{4 \sqrt{\pi} b^{5}} - \frac{5 \operatorname{erf}^{2}{\left(b x \right)}}{16 b^{6}} + \frac{11 e^{- 2 b^{2} x^{2}}}{12 \pi b^{6}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erf(b*x)**2/6 + x**5*exp(-b**2*x**2)*erf(b*x)/(3*sqrt(pi)*b) + x**4*exp(-2*b**2*x**2)/(6*pi*b**2) + 5*x**3*exp(-b**2*x**2)*erf(b*x)/(6*sqrt(pi)*b**3) + 7*x**2*exp(-2*b**2*x**2)/(12*pi*b**4) + 5*x*exp(-b**2*x**2)*erf(b*x)/(4*sqrt(pi)*b**5) - 5*erf(b*x)**2/(16*b**6) + 11*exp(-2*b**2*x**2)/(12*pi*b**6), Ne(b, 0)), (0, True))","A",0
23,1,117,0,1.973711," ","integrate(x**3*erf(b*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{erf}^{2}{\left(b x \right)}}{4} + \frac{x^{3} e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 \sqrt{\pi} b} + \frac{x^{2} e^{- 2 b^{2} x^{2}}}{4 \pi b^{2}} + \frac{3 x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{4 \sqrt{\pi} b^{3}} - \frac{3 \operatorname{erf}^{2}{\left(b x \right)}}{16 b^{4}} + \frac{e^{- 2 b^{2} x^{2}}}{2 \pi b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erf(b*x)**2/4 + x**3*exp(-b**2*x**2)*erf(b*x)/(2*sqrt(pi)*b) + x**2*exp(-2*b**2*x**2)/(4*pi*b**2) + 3*x*exp(-b**2*x**2)*erf(b*x)/(4*sqrt(pi)*b**3) - 3*erf(b*x)**2/(16*b**4) + exp(-2*b**2*x**2)/(2*pi*b**4), Ne(b, 0)), (0, True))","A",0
24,1,65,0,0.680538," ","integrate(x*erf(b*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{erf}^{2}{\left(b x \right)}}{2} + \frac{x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{\sqrt{\pi} b} - \frac{\operatorname{erf}^{2}{\left(b x \right)}}{4 b^{2}} + \frac{e^{- 2 b^{2} x^{2}}}{2 \pi b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erf(b*x)**2/2 + x*exp(-b**2*x**2)*erf(b*x)/(sqrt(pi)*b) - erf(b*x)**2/(4*b**2) + exp(-2*b**2*x**2)/(2*pi*b**2), Ne(b, 0)), (0, True))","A",0
25,0,0,0,0.000000," ","integrate(erf(b*x)**2/x,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x}\, dx"," ",0,"Integral(erf(b*x)**2/x, x)","F",0
26,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**3,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral(erf(b*x)**2/x**3, x)","F",0
27,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**5,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"Integral(erf(b*x)**2/x**5, x)","F",0
28,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**7,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{7}}\, dx"," ",0,"Integral(erf(b*x)**2/x**7, x)","F",0
29,0,0,0,0.000000," ","integrate(x**4*erf(b*x)**2,x)","\int x^{4} \operatorname{erf}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**4*erf(b*x)**2, x)","F",0
30,0,0,0,0.000000," ","integrate(x**2*erf(b*x)**2,x)","\int x^{2} \operatorname{erf}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**2*erf(b*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate(erf(b*x)**2,x)","\int \operatorname{erf}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(erf(b*x)**2, x)","F",0
32,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**2,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"Integral(erf(b*x)**2/x**2, x)","F",0
33,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**4,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"Integral(erf(b*x)**2/x**4, x)","F",0
34,0,0,0,0.000000," ","integrate(erf(b*x)**2/x**6,x)","\int \frac{\operatorname{erf}^{2}{\left(b x \right)}}{x^{6}}\, dx"," ",0,"Integral(erf(b*x)**2/x**6, x)","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)**2*erf(b*x+a)**2,x)","\int \left(c + d x\right)^{2} \operatorname{erf}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*erf(a + b*x)**2, x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)*erf(b*x+a)**2,x)","\int \left(c + d x\right) \operatorname{erf}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*erf(a + b*x)**2, x)","F",0
37,0,0,0,0.000000," ","integrate(erf(b*x+a)**2,x)","\int \operatorname{erf}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(erf(a + b*x)**2, x)","F",0
38,0,0,0,0.000000," ","integrate(erf(b*x+a)**2/(d*x+c),x)","\int \frac{\operatorname{erf}^{2}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erf(a + b*x)**2/(c + d*x), x)","F",0
39,0,0,0,0.000000," ","integrate(erf(b*x+a)**2/(d*x+c)**2,x)","\int \frac{\operatorname{erf}^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erf(a + b*x)**2/(c + d*x)**2, x)","F",0
40,0,0,0,0.000000," ","integrate(x**2*erf(d*(a+b*ln(c*x**n))),x)","\int x^{2} \operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*erf(a*d + b*d*log(c*x**n)), x)","F",0
41,0,0,0,0.000000," ","integrate(x*erf(d*(a+b*ln(c*x**n))),x)","\int x \operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*erf(a*d + b*d*log(c*x**n)), x)","F",0
42,0,0,0,0.000000," ","integrate(erf(d*(a+b*ln(c*x**n))),x)","\int \operatorname{erf}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(erf(d*(a + b*log(c*x**n))), x)","F",0
43,0,0,0,0.000000," ","integrate(erf(d*(a+b*ln(c*x**n)))/x,x)","\int \frac{\operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(erf(a*d + b*d*log(c*x**n))/x, x)","F",0
44,0,0,0,0.000000," ","integrate(erf(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(erf(a*d + b*d*log(c*x**n))/x**2, x)","F",0
45,0,0,0,0.000000," ","integrate(erf(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(erf(a*d + b*d*log(c*x**n))/x**3, x)","F",0
46,0,0,0,0.000000," ","integrate((e*x)**m*erf(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \operatorname{erf}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*erf(a*d + b*d*log(c*x**n)), x)","F",0
47,1,19,0,1.743529," ","integrate(exp(-b**2*x**2+c)*erf(b*x)**2,x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \operatorname{erf}^{3}{\left(b x \right)}}{6 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*erf(b*x)**3/(6*b), Ne(b, 0)), (0, True))","A",0
48,1,19,0,0.631371," ","integrate(exp(-b**2*x**2+c)*erf(b*x),x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \operatorname{erf}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*erf(b*x)**2/(4*b), Ne(b, 0)), (0, True))","A",0
49,1,17,0,0.407084," ","integrate(exp(-b**2*x**2+c)/erf(b*x),x)","\frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erf}{\left(b x \right)} \right)}}{2 b}"," ",0,"sqrt(pi)*exp(c)*log(erf(b*x))/(2*b)","A",0
50,1,17,0,0.687860," ","integrate(exp(-b**2*x**2+c)/erf(b*x)**2,x)","- \frac{\sqrt{\pi} e^{c}}{2 b \operatorname{erf}{\left(b x \right)}}"," ",0,"-sqrt(pi)*exp(c)/(2*b*erf(b*x))","A",0
51,1,19,0,1.296711," ","integrate(exp(-b**2*x**2+c)/erf(b*x)**3,x)","- \frac{\sqrt{\pi} e^{c}}{4 b \operatorname{erf}^{2}{\left(b x \right)}}"," ",0,"-sqrt(pi)*exp(c)/(4*b*erf(b*x)**2)","A",0
52,1,63,0,5.602698," ","integrate(exp(-b**2*x**2+c)*erf(b*x)**n,x)","\begin{cases} \tilde{\infty} x e^{c} & \text{for}\: b = 0 \wedge n = -1 \\0^{n} x e^{c} & \text{for}\: b = 0 \\\frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erf}{\left(b x \right)} \right)}}{2 b} & \text{for}\: n = -1 \\\frac{\sqrt{\pi} e^{c} \operatorname{erf}{\left(b x \right)} \operatorname{erf}^{n}{\left(b x \right)}}{2 b n + 2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*exp(c), Eq(b, 0) & Eq(n, -1)), (0**n*x*exp(c), Eq(b, 0)), (sqrt(pi)*exp(c)*log(erf(b*x))/(2*b), Eq(n, -1)), (sqrt(pi)*exp(c)*erf(b*x)*erf(b*x)**n/(2*b*n + 2*b), True))","A",0
53,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**5*erf(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erf(b*x),x)","e^{c} \int x^{3} e^{d x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**3*exp(d*x**2)*erf(b*x), x)","F",0
55,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erf(b*x),x)","e^{c} \int x e^{d x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erf(b*x), x)","F",0
56,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x)/x, x)","F",0
57,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x)/x**3, x)","F",0
58,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x)/x**5,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x)/x**5, x)","F",0
59,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erf(b*x),x)","e^{c} \int x^{4} e^{d x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**4*exp(d*x**2)*erf(b*x), x)","F",0
60,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erf(b*x),x)","e^{c} \int x^{2} e^{d x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**2*exp(d*x**2)*erf(b*x), x)","F",0
61,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x),x)","e^{c} \int e^{d x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x), x)","F",0
62,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x)/x**2, x)","F",0
63,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x)/x**4,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(b*x)/x**4, x)","F",0
64,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**5*erf(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,1,76,0,131.385523," ","integrate(exp(b**2*x**2+c)*x**3*erf(b*x),x)","\begin{cases} - \frac{x^{3} e^{c}}{3 \sqrt{\pi} b} + \frac{x^{2} e^{c} e^{b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 b^{2}} + \frac{x e^{c}}{\sqrt{\pi} b^{3}} - \frac{e^{c} e^{b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*exp(c)/(3*sqrt(pi)*b) + x**2*exp(c)*exp(b**2*x**2)*erf(b*x)/(2*b**2) + x*exp(c)/(sqrt(pi)*b**3) - exp(c)*exp(b**2*x**2)*erf(b*x)/(2*b**4), Ne(b, 0)), (0, True))","A",0
66,1,34,0,14.836613," ","integrate(exp(b**2*x**2+c)*x*erf(b*x),x)","\begin{cases} - \frac{x e^{c}}{\sqrt{\pi} b} + \frac{e^{c} e^{b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(c)/(sqrt(pi)*b) + exp(c)*exp(b**2*x**2)*erf(b*x)/(2*b**2), Ne(b, 0)), (0, True))","A",0
67,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
68,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x)/x**3,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
69,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**4*erf(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**2*erf(b*x),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
72,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
73,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x)/x**2,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
74,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erf(b*x)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate(x**5*erf(b*x)/exp(b**2*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,0,0,0,0.000000," ","integrate(x**3*erf(b*x)/exp(b**2*x**2),x)","\int x^{3} e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(x**3*exp(-b**2*x**2)*erf(b*x), x)","F",0
77,0,0,0,0.000000," ","integrate(x*erf(b*x)/exp(b**2*x**2),x)","\int x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(x*exp(-b**2*x**2)*erf(b*x), x)","F",0
78,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erf(b*x)/x, x)","F",0
79,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x**3,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erf(b*x)/x**3, x)","F",0
80,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x**5,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erf(b*x)/x**5, x)","F",0
81,1,109,0,37.090506," ","integrate(x**4*erf(b*x)/exp(b**2*x**2),x)","\begin{cases} - \frac{x^{3} e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 b^{2}} - \frac{x^{2} e^{- 2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} - \frac{3 x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{4 b^{4}} + \frac{3 \sqrt{\pi} \operatorname{erf}^{2}{\left(b x \right)}}{16 b^{5}} - \frac{e^{- 2 b^{2} x^{2}}}{2 \sqrt{\pi} b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*exp(-b**2*x**2)*erf(b*x)/(2*b**2) - x**2*exp(-2*b**2*x**2)/(4*sqrt(pi)*b**3) - 3*x*exp(-b**2*x**2)*erf(b*x)/(4*b**4) + 3*sqrt(pi)*erf(b*x)**2/(16*b**5) - exp(-2*b**2*x**2)/(2*sqrt(pi)*b**5), Ne(b, 0)), (0, True))","A",0
82,1,60,0,6.301300," ","integrate(x**2*erf(b*x)/exp(b**2*x**2),x)","\begin{cases} - \frac{x e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{2 b^{2}} + \frac{\sqrt{\pi} \operatorname{erf}^{2}{\left(b x \right)}}{8 b^{3}} - \frac{e^{- 2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(-b**2*x**2)*erf(b*x)/(2*b**2) + sqrt(pi)*erf(b*x)**2/(8*b**3) - exp(-2*b**2*x**2)/(4*sqrt(pi)*b**3), Ne(b, 0)), (0, True))","A",0
83,1,15,0,0.993441," ","integrate(erf(b*x)/exp(b**2*x**2),x)","\begin{cases} \frac{\sqrt{\pi} \operatorname{erf}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*erf(b*x)**2/(4*b), Ne(b, 0)), (0, True))","A",0
84,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x**2,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erf(b*x)/x**2, x)","F",0
85,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x**4,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erf(b*x)/x**4, x)","F",0
86,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erf(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erf(b*x+a),x)","e^{c} \int x e^{d x^{2}} \operatorname{erf}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erf(a + b*x), x)","F",0
88,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x+a)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(a + b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(a + b*x)/x, x)","F",0
89,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x+a)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(a + b*x)/x**3, x)","F",0
90,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erf(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erf(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x+a),x)","e^{c} \int e^{d x^{2}} \operatorname{erf}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(a + b*x), x)","F",0
93,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x+a)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erf}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erf(a + b*x)/x**2, x)","F",0
94,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*erf(b*x+a)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,0,0,0,0.000000," ","integrate(erf(b*x)/exp(b**2*x**2)/x**3+b**2*erf(b*x)/exp(b**2*x**2)/x,x)","\int \frac{\left(b^{2} x^{2} + 1\right) e^{- b^{2} x^{2}} \operatorname{erf}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral((b**2*x**2 + 1)*exp(-b**2*x**2)*erf(b*x)/x**3, x)","F",0
96,0,0,0,0.000000," ","integrate(erf(b*x)*sin(c+I*b**2*x**2),x)","\int \sin{\left(i b^{2} x^{2} + c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(sin(I*b**2*x**2 + c)*erf(b*x), x)","F",0
97,0,0,0,0.000000," ","integrate(-erf(b*x)*sin(-c+I*b**2*x**2),x)","- \int \sin{\left(i b^{2} x^{2} - c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"-Integral(sin(I*b**2*x**2 - c)*erf(b*x), x)","F",0
98,0,0,0,0.000000," ","integrate(cos(c+I*b**2*x**2)*erf(b*x),x)","\int \cos{\left(i b^{2} x^{2} + c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 + c)*erf(b*x), x)","F",0
99,0,0,0,0.000000," ","integrate(cos(-c+I*b**2*x**2)*erf(b*x),x)","\int \cos{\left(i b^{2} x^{2} - c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 - c)*erf(b*x), x)","F",0
100,0,0,0,0.000000," ","integrate(erf(b*x)*sinh(b**2*x**2+c),x)","\int \sinh{\left(b^{2} x^{2} + c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(sinh(b**2*x**2 + c)*erf(b*x), x)","F",0
101,0,0,0,0.000000," ","integrate(-erf(b*x)*sinh(b**2*x**2-c),x)","- \int \sinh{\left(b^{2} x^{2} - c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"-Integral(sinh(b**2*x**2 - c)*erf(b*x), x)","F",0
102,0,0,0,0.000000," ","integrate(cosh(b**2*x**2+c)*erf(b*x),x)","\int \cosh{\left(b^{2} x^{2} + c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 + c)*erf(b*x), x)","F",0
103,0,0,0,0.000000," ","integrate(cosh(b**2*x**2-c)*erf(b*x),x)","\int \cosh{\left(b^{2} x^{2} - c \right)} \operatorname{erf}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 - c)*erf(b*x), x)","F",0
104,1,92,0,2.902883," ","integrate(x**5*erfc(b*x),x)","\begin{cases} \frac{x^{6} \operatorname{erfc}{\left(b x \right)}}{6} - \frac{x^{5} e^{- b^{2} x^{2}}}{6 \sqrt{\pi} b} - \frac{5 x^{3} e^{- b^{2} x^{2}}}{12 \sqrt{\pi} b^{3}} - \frac{5 x e^{- b^{2} x^{2}}}{8 \sqrt{\pi} b^{5}} - \frac{5 \operatorname{erfc}{\left(b x \right)}}{16 b^{6}} & \text{for}\: b \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erfc(b*x)/6 - x**5*exp(-b**2*x**2)/(6*sqrt(pi)*b) - 5*x**3*exp(-b**2*x**2)/(12*sqrt(pi)*b**3) - 5*x*exp(-b**2*x**2)/(8*sqrt(pi)*b**5) - 5*erfc(b*x)/(16*b**6), Ne(b, 0)), (x**6/6, True))","A",0
105,1,68,0,1.035851," ","integrate(x**3*erfc(b*x),x)","\begin{cases} \frac{x^{4} \operatorname{erfc}{\left(b x \right)}}{4} - \frac{x^{3} e^{- b^{2} x^{2}}}{4 \sqrt{\pi} b} - \frac{3 x e^{- b^{2} x^{2}}}{8 \sqrt{\pi} b^{3}} - \frac{3 \operatorname{erfc}{\left(b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erfc(b*x)/4 - x**3*exp(-b**2*x**2)/(4*sqrt(pi)*b) - 3*x*exp(-b**2*x**2)/(8*sqrt(pi)*b**3) - 3*erfc(b*x)/(16*b**4), Ne(b, 0)), (x**4/4, True))","A",0
106,1,42,0,0.366688," ","integrate(x*erfc(b*x),x)","\begin{cases} \frac{x^{2} \operatorname{erfc}{\left(b x \right)}}{2} - \frac{x e^{- b^{2} x^{2}}}{2 \sqrt{\pi} b} - \frac{\operatorname{erfc}{\left(b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erfc(b*x)/2 - x*exp(-b**2*x**2)/(2*sqrt(pi)*b) - erfc(b*x)/(4*b**2), Ne(b, 0)), (x**2/2, True))","A",0
107,-2,0,0,0.000000," ","integrate(erfc(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
108,1,34,0,0.473150," ","integrate(erfc(b*x)/x**3,x)","- b^{2} \operatorname{erfc}{\left(b x \right)} + \frac{b e^{- b^{2} x^{2}}}{\sqrt{\pi} x} - \frac{\operatorname{erfc}{\left(b x \right)}}{2 x^{2}}"," ",0,"-b**2*erfc(b*x) + b*exp(-b**2*x**2)/(sqrt(pi)*x) - erfc(b*x)/(2*x**2)","A",0
109,1,60,0,1.143823," ","integrate(erfc(b*x)/x**5,x)","\frac{b^{4} \operatorname{erfc}{\left(b x \right)}}{3} - \frac{b^{3} e^{- b^{2} x^{2}}}{3 \sqrt{\pi} x} + \frac{b e^{- b^{2} x^{2}}}{6 \sqrt{\pi} x^{3}} - \frac{\operatorname{erfc}{\left(b x \right)}}{4 x^{4}}"," ",0,"b**4*erfc(b*x)/3 - b**3*exp(-b**2*x**2)/(3*sqrt(pi)*x) + b*exp(-b**2*x**2)/(6*sqrt(pi)*x**3) - erfc(b*x)/(4*x**4)","A",0
110,1,87,0,2.848796," ","integrate(erfc(b*x)/x**7,x)","- \frac{4 b^{6} \operatorname{erfc}{\left(b x \right)}}{45} + \frac{4 b^{5} e^{- b^{2} x^{2}}}{45 \sqrt{\pi} x} - \frac{2 b^{3} e^{- b^{2} x^{2}}}{45 \sqrt{\pi} x^{3}} + \frac{b e^{- b^{2} x^{2}}}{15 \sqrt{\pi} x^{5}} - \frac{\operatorname{erfc}{\left(b x \right)}}{6 x^{6}}"," ",0,"-4*b**6*erfc(b*x)/45 + 4*b**5*exp(-b**2*x**2)/(45*sqrt(pi)*x) - 2*b**3*exp(-b**2*x**2)/(45*sqrt(pi)*x**3) + b*exp(-b**2*x**2)/(15*sqrt(pi)*x**5) - erfc(b*x)/(6*x**6)","A",0
111,1,102,0,4.626957," ","integrate(x**6*erfc(b*x),x)","\begin{cases} \frac{x^{7} \operatorname{erfc}{\left(b x \right)}}{7} - \frac{x^{6} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b} - \frac{3 x^{4} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{3}} - \frac{6 x^{2} e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{5}} - \frac{6 e^{- b^{2} x^{2}}}{7 \sqrt{\pi} b^{7}} & \text{for}\: b \neq 0 \\\frac{x^{7}}{7} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**7*erfc(b*x)/7 - x**6*exp(-b**2*x**2)/(7*sqrt(pi)*b) - 3*x**4*exp(-b**2*x**2)/(7*sqrt(pi)*b**3) - 6*x**2*exp(-b**2*x**2)/(7*sqrt(pi)*b**5) - 6*exp(-b**2*x**2)/(7*sqrt(pi)*b**7), Ne(b, 0)), (x**7/7, True))","A",0
112,1,78,0,1.744488," ","integrate(x**4*erfc(b*x),x)","\begin{cases} \frac{x^{5} \operatorname{erfc}{\left(b x \right)}}{5} - \frac{x^{4} e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b} - \frac{2 x^{2} e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b^{3}} - \frac{2 e^{- b^{2} x^{2}}}{5 \sqrt{\pi} b^{5}} & \text{for}\: b \neq 0 \\\frac{x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*erfc(b*x)/5 - x**4*exp(-b**2*x**2)/(5*sqrt(pi)*b) - 2*x**2*exp(-b**2*x**2)/(5*sqrt(pi)*b**3) - 2*exp(-b**2*x**2)/(5*sqrt(pi)*b**5), Ne(b, 0)), (x**5/5, True))","A",0
113,1,54,0,0.549495," ","integrate(x**2*erfc(b*x),x)","\begin{cases} \frac{x^{3} \operatorname{erfc}{\left(b x \right)}}{3} - \frac{x^{2} e^{- b^{2} x^{2}}}{3 \sqrt{\pi} b} - \frac{e^{- b^{2} x^{2}}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*erfc(b*x)/3 - x**2*exp(-b**2*x**2)/(3*sqrt(pi)*b) - exp(-b**2*x**2)/(3*sqrt(pi)*b**3), Ne(b, 0)), (x**3/3, True))","A",0
114,1,24,0,0.271698," ","integrate(erfc(b*x),x)","\begin{cases} x \operatorname{erfc}{\left(b x \right)} - \frac{e^{- b^{2} x^{2}}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*erfc(b*x) - exp(-b**2*x**2)/(sqrt(pi)*b), Ne(b, 0)), (x, True))","A",0
115,1,20,0,0.975195," ","integrate(erfc(b*x)/x**2,x)","\frac{b \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{\sqrt{\pi}} - \frac{\operatorname{erfc}{\left(b x \right)}}{x}"," ",0,"b*expint(1, b**2*x**2)/sqrt(pi) - erfc(b*x)/x","A",0
116,1,48,0,1.749559," ","integrate(erfc(b*x)/x**4,x)","- \frac{b^{3} \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{3 \sqrt{\pi}} + \frac{b e^{- b^{2} x^{2}}}{3 \sqrt{\pi} x^{2}} - \frac{\operatorname{erfc}{\left(b x \right)}}{3 x^{3}}"," ",0,"-b**3*expint(1, b**2*x**2)/(3*sqrt(pi)) + b*exp(-b**2*x**2)/(3*sqrt(pi)*x**2) - erfc(b*x)/(3*x**3)","A",0
117,1,70,0,2.982681," ","integrate(erfc(b*x)/x**6,x)","\frac{b^{5} \operatorname{E}_{1}\left(b^{2} x^{2}\right)}{10 \sqrt{\pi}} - \frac{b^{3} e^{- b^{2} x^{2}}}{10 \sqrt{\pi} x^{2}} + \frac{b e^{- b^{2} x^{2}}}{10 \sqrt{\pi} x^{4}} - \frac{\operatorname{erfc}{\left(b x \right)}}{5 x^{5}}"," ",0,"b**5*expint(1, b**2*x**2)/(10*sqrt(pi)) - b**3*exp(-b**2*x**2)/(10*sqrt(pi)*x**2) + b*exp(-b**2*x**2)/(10*sqrt(pi)*x**4) - erfc(b*x)/(5*x**5)","A",0
118,1,746,0,9.140819," ","integrate((d*x+c)**3*erfc(b*x+a),x)","\begin{cases} - \frac{a^{4} d^{3} \operatorname{erfc}{\left(a + b x \right)}}{4 b^{4}} + \frac{a^{3} c d^{2} \operatorname{erfc}{\left(a + b x \right)}}{b^{3}} + \frac{a^{3} d^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{4}} - \frac{3 a^{2} c^{2} d \operatorname{erfc}{\left(a + b x \right)}}{2 b^{2}} - \frac{a^{2} c d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{3}} - \frac{a^{2} d^{3} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{3}} - \frac{3 a^{2} d^{3} \operatorname{erfc}{\left(a + b x \right)}}{4 b^{4}} + \frac{a c^{3} \operatorname{erfc}{\left(a + b x \right)}}{b} + \frac{3 a c^{2} d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b^{2}} + \frac{a c d^{2} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{2}} + \frac{a d^{3} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b^{2}} + \frac{3 a c d^{2} \operatorname{erfc}{\left(a + b x \right)}}{2 b^{3}} + \frac{5 a d^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{8 \sqrt{\pi} b^{4}} + c^{3} x \operatorname{erfc}{\left(a + b x \right)} + \frac{3 c^{2} d x^{2} \operatorname{erfc}{\left(a + b x \right)}}{2} + c d^{2} x^{3} \operatorname{erfc}{\left(a + b x \right)} + \frac{d^{3} x^{4} \operatorname{erfc}{\left(a + b x \right)}}{4} - \frac{c^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} - \frac{3 c^{2} d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b} - \frac{c d^{2} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} - \frac{d^{3} x^{3} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{4 \sqrt{\pi} b} - \frac{3 c^{2} d \operatorname{erfc}{\left(a + b x \right)}}{4 b^{2}} - \frac{c d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{3}} - \frac{3 d^{3} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{8 \sqrt{\pi} b^{3}} - \frac{3 d^{3} \operatorname{erfc}{\left(a + b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \operatorname{erfc}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*d**3*erfc(a + b*x)/(4*b**4) + a**3*c*d**2*erfc(a + b*x)/b**3 + a**3*d**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**4) - 3*a**2*c**2*d*erfc(a + b*x)/(2*b**2) - a**2*c*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**3) - a**2*d**3*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**3) - 3*a**2*d**3*erfc(a + b*x)/(4*b**4) + a*c**3*erfc(a + b*x)/b + 3*a*c**2*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b**2) + a*c*d**2*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**2) + a*d**3*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b**2) + 3*a*c*d**2*erfc(a + b*x)/(2*b**3) + 5*a*d**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(8*sqrt(pi)*b**4) + c**3*x*erfc(a + b*x) + 3*c**2*d*x**2*erfc(a + b*x)/2 + c*d**2*x**3*erfc(a + b*x) + d**3*x**4*erfc(a + b*x)/4 - c**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) - 3*c**2*d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b) - c*d**2*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) - d**3*x**3*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(4*sqrt(pi)*b) - 3*c**2*d*erfc(a + b*x)/(4*b**2) - c*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**3) - 3*d**3*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(8*sqrt(pi)*b**3) - 3*d**3*erfc(a + b*x)/(16*b**4), Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*erfc(a), True))","A",0
119,1,398,0,3.778213," ","integrate((d*x+c)**2*erfc(b*x+a),x)","\begin{cases} \frac{a^{3} d^{2} \operatorname{erfc}{\left(a + b x \right)}}{3 b^{3}} - \frac{a^{2} c d \operatorname{erfc}{\left(a + b x \right)}}{b^{2}} - \frac{a^{2} d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{3}} + \frac{a c^{2} \operatorname{erfc}{\left(a + b x \right)}}{b} + \frac{a c d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b^{2}} + \frac{a d^{2} x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{2}} + \frac{a d^{2} \operatorname{erfc}{\left(a + b x \right)}}{2 b^{3}} + c^{2} x \operatorname{erfc}{\left(a + b x \right)} + c d x^{2} \operatorname{erfc}{\left(a + b x \right)} + \frac{d^{2} x^{3} \operatorname{erfc}{\left(a + b x \right)}}{3} - \frac{c^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} - \frac{c d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} - \frac{d^{2} x^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b} - \frac{c d \operatorname{erfc}{\left(a + b x \right)}}{2 b^{2}} - \frac{d^{2} e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \operatorname{erfc}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*d**2*erfc(a + b*x)/(3*b**3) - a**2*c*d*erfc(a + b*x)/b**2 - a**2*d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**3) + a*c**2*erfc(a + b*x)/b + a*c*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b**2) + a*d**2*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**2) + a*d**2*erfc(a + b*x)/(2*b**3) + c**2*x*erfc(a + b*x) + c*d*x**2*erfc(a + b*x) + d**2*x**3*erfc(a + b*x)/3 - c**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) - c*d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) - d**2*x**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b) - c*d*erfc(a + b*x)/(2*b**2) - d**2*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(3*sqrt(pi)*b**3), Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*erfc(a), True))","A",0
120,1,178,0,1.451342," ","integrate((d*x+c)*erfc(b*x+a),x)","\begin{cases} - \frac{a^{2} d \operatorname{erfc}{\left(a + b x \right)}}{2 b^{2}} + \frac{a c \operatorname{erfc}{\left(a + b x \right)}}{b} + \frac{a d e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b^{2}} + c x \operatorname{erfc}{\left(a + b x \right)} + \frac{d x^{2} \operatorname{erfc}{\left(a + b x \right)}}{2} - \frac{c e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} - \frac{d x e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{2 \sqrt{\pi} b} - \frac{d \operatorname{erfc}{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \operatorname{erfc}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*d*erfc(a + b*x)/(2*b**2) + a*c*erfc(a + b*x)/b + a*d*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b**2) + c*x*erfc(a + b*x) + d*x**2*erfc(a + b*x)/2 - c*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b) - d*x*exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(2*sqrt(pi)*b) - d*erfc(a + b*x)/(4*b**2), Ne(b, 0)), ((c*x + d*x**2/2)*erfc(a), True))","A",0
121,1,53,0,0.605984," ","integrate(erfc(b*x+a),x)","\begin{cases} \frac{a \operatorname{erfc}{\left(a + b x \right)}}{b} + x \operatorname{erfc}{\left(a + b x \right)} - \frac{e^{- a^{2}} e^{- b^{2} x^{2}} e^{- 2 a b x}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\x \operatorname{erfc}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*erfc(a + b*x)/b + x*erfc(a + b*x) - exp(-a**2)*exp(-b**2*x**2)*exp(-2*a*b*x)/(sqrt(pi)*b), Ne(b, 0)), (x*erfc(a), True))","A",0
122,0,0,0,0.000000," ","integrate(erfc(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{erfc}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erfc(a + b*x)/(c + d*x), x)","F",0
123,0,0,0,0.000000," ","integrate(erfc(b*x+a)/(d*x+c)**2,x)","\int \frac{\operatorname{erfc}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erfc(a + b*x)/(c + d*x)**2, x)","F",0
124,0,0,0,0.000000," ","integrate(erfc(b*x+a)/(d*x+c)**3,x)","\int \frac{\operatorname{erfc}{\left(a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(erfc(a + b*x)/(c + d*x)**3, x)","F",0
125,1,172,0,5.087544," ","integrate(x**5*erfc(b*x)**2,x)","\begin{cases} \frac{x^{6} \operatorname{erfc}^{2}{\left(b x \right)}}{6} - \frac{x^{5} e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{3 \sqrt{\pi} b} + \frac{x^{4} e^{- 2 b^{2} x^{2}}}{6 \pi b^{2}} - \frac{5 x^{3} e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{6 \sqrt{\pi} b^{3}} + \frac{7 x^{2} e^{- 2 b^{2} x^{2}}}{12 \pi b^{4}} - \frac{5 x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{4 \sqrt{\pi} b^{5}} - \frac{5 \operatorname{erfc}^{2}{\left(b x \right)}}{16 b^{6}} + \frac{11 e^{- 2 b^{2} x^{2}}}{12 \pi b^{6}} & \text{for}\: b \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erfc(b*x)**2/6 - x**5*exp(-b**2*x**2)*erfc(b*x)/(3*sqrt(pi)*b) + x**4*exp(-2*b**2*x**2)/(6*pi*b**2) - 5*x**3*exp(-b**2*x**2)*erfc(b*x)/(6*sqrt(pi)*b**3) + 7*x**2*exp(-2*b**2*x**2)/(12*pi*b**4) - 5*x*exp(-b**2*x**2)*erfc(b*x)/(4*sqrt(pi)*b**5) - 5*erfc(b*x)**2/(16*b**6) + 11*exp(-2*b**2*x**2)/(12*pi*b**6), Ne(b, 0)), (x**6/6, True))","A",0
126,1,121,0,1.864357," ","integrate(x**3*erfc(b*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{erfc}^{2}{\left(b x \right)}}{4} - \frac{x^{3} e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 \sqrt{\pi} b} + \frac{x^{2} e^{- 2 b^{2} x^{2}}}{4 \pi b^{2}} - \frac{3 x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{4 \sqrt{\pi} b^{3}} - \frac{3 \operatorname{erfc}^{2}{\left(b x \right)}}{16 b^{4}} + \frac{e^{- 2 b^{2} x^{2}}}{2 \pi b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erfc(b*x)**2/4 - x**3*exp(-b**2*x**2)*erfc(b*x)/(2*sqrt(pi)*b) + x**2*exp(-2*b**2*x**2)/(4*pi*b**2) - 3*x*exp(-b**2*x**2)*erfc(b*x)/(4*sqrt(pi)*b**3) - 3*erfc(b*x)**2/(16*b**4) + exp(-2*b**2*x**2)/(2*pi*b**4), Ne(b, 0)), (x**4/4, True))","A",0
127,1,68,0,0.650410," ","integrate(x*erfc(b*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{erfc}^{2}{\left(b x \right)}}{2} - \frac{x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{\sqrt{\pi} b} - \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{4 b^{2}} + \frac{e^{- 2 b^{2} x^{2}}}{2 \pi b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erfc(b*x)**2/2 - x*exp(-b**2*x**2)*erfc(b*x)/(sqrt(pi)*b) - erfc(b*x)**2/(4*b**2) + exp(-2*b**2*x**2)/(2*pi*b**2), Ne(b, 0)), (x**2/2, True))","A",0
128,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x}\, dx"," ",0,"Integral(erfc(b*x)**2/x, x)","F",0
129,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**3,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**3, x)","F",0
130,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**5,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**5, x)","F",0
131,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**7,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{7}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**7, x)","F",0
132,0,0,0,0.000000," ","integrate(x**4*erfc(b*x)**2,x)","\int x^{4} \operatorname{erfc}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**4*erfc(b*x)**2, x)","F",0
133,0,0,0,0.000000," ","integrate(x**2*erfc(b*x)**2,x)","\int x^{2} \operatorname{erfc}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**2*erfc(b*x)**2, x)","F",0
134,0,0,0,0.000000," ","integrate(erfc(b*x)**2,x)","\int \operatorname{erfc}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(erfc(b*x)**2, x)","F",0
135,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**2,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**2, x)","F",0
136,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**4,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**4, x)","F",0
137,0,0,0,0.000000," ","integrate(erfc(b*x)**2/x**6,x)","\int \frac{\operatorname{erfc}^{2}{\left(b x \right)}}{x^{6}}\, dx"," ",0,"Integral(erfc(b*x)**2/x**6, x)","F",0
138,0,0,0,0.000000," ","integrate((d*x+c)**2*erfc(b*x+a)**2,x)","\int \left(c + d x\right)^{2} \operatorname{erfc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*erfc(a + b*x)**2, x)","F",0
139,0,0,0,0.000000," ","integrate((d*x+c)*erfc(b*x+a)**2,x)","\int \left(c + d x\right) \operatorname{erfc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*erfc(a + b*x)**2, x)","F",0
140,0,0,0,0.000000," ","integrate(erfc(b*x+a)**2,x)","\int \operatorname{erfc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(erfc(a + b*x)**2, x)","F",0
141,0,0,0,0.000000," ","integrate(erfc(b*x+a)**2/(d*x+c),x)","\int \frac{\operatorname{erfc}^{2}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erfc(a + b*x)**2/(c + d*x), x)","F",0
142,0,0,0,0.000000," ","integrate(erfc(b*x+a)**2/(d*x+c)**2,x)","\int \frac{\operatorname{erfc}^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erfc(a + b*x)**2/(c + d*x)**2, x)","F",0
143,0,0,0,0.000000," ","integrate(x**2*erfc(d*(a+b*ln(c*x**n))),x)","\int x^{2} \operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*erfc(a*d + b*d*log(c*x**n)), x)","F",0
144,0,0,0,0.000000," ","integrate(x*erfc(d*(a+b*ln(c*x**n))),x)","\int x \operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*erfc(a*d + b*d*log(c*x**n)), x)","F",0
145,0,0,0,0.000000," ","integrate(erfc(d*(a+b*ln(c*x**n))),x)","\int \operatorname{erfc}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(erfc(d*(a + b*log(c*x**n))), x)","F",0
146,0,0,0,0.000000," ","integrate(erfc(d*(a+b*ln(c*x**n)))/x,x)","\int \frac{\operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(erfc(a*d + b*d*log(c*x**n))/x, x)","F",0
147,0,0,0,0.000000," ","integrate(erfc(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(erfc(a*d + b*d*log(c*x**n))/x**2, x)","F",0
148,0,0,0,0.000000," ","integrate(erfc(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(erfc(a*d + b*d*log(c*x**n))/x**3, x)","F",0
149,0,0,0,0.000000," ","integrate((e*x)**m*erfc(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \operatorname{erfc}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*erfc(a*d + b*d*log(c*x**n)), x)","F",0
150,1,24,0,1.655635," ","integrate(exp(-b**2*x**2+c)*erfc(b*x)**2,x)","\begin{cases} - \frac{\sqrt{\pi} e^{c} \operatorname{erfc}^{3}{\left(b x \right)}}{6 b} & \text{for}\: b \neq 0 \\x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*exp(c)*erfc(b*x)**3/(6*b), Ne(b, 0)), (x*exp(c), True))","A",0
151,1,24,0,0.624553," ","integrate(exp(-b**2*x**2+c)*erfc(b*x),x)","\begin{cases} - \frac{\sqrt{\pi} e^{c} \operatorname{erfc}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*exp(c)*erfc(b*x)**2/(4*b), Ne(b, 0)), (x*exp(c), True))","A",0
152,1,24,0,0.441125," ","integrate(exp(-b**2*x**2+c)/erfc(b*x),x)","\begin{cases} - \frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erfc}{\left(b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*exp(c)*log(erfc(b*x))/(2*b), Ne(b, 0)), (x*exp(c), True))","A",0
153,1,20,0,0.977597," ","integrate(exp(-b**2*x**2+c)/erfc(b*x)**2,x)","\begin{cases} \frac{\sqrt{\pi} e^{c}}{2 b \operatorname{erfc}{\left(b x \right)}} & \text{for}\: b \neq 0 \\x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)/(2*b*erfc(b*x)), Ne(b, 0)), (x*exp(c), True))","A",0
154,1,22,0,2.059627," ","integrate(exp(-b**2*x**2+c)/erfc(b*x)**3,x)","\begin{cases} \frac{\sqrt{\pi} e^{c}}{4 b \operatorname{erfc}^{2}{\left(b x \right)}} & \text{for}\: b \neq 0 \\x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)/(4*b*erfc(b*x)**2), Ne(b, 0)), (x*exp(c), True))","A",0
155,1,60,0,5.130087," ","integrate(exp(-b**2*x**2+c)*erfc(b*x)**n,x)","\begin{cases} x e^{c} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = -1\right) \\- \frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erfc}{\left(b x \right)} \right)}}{2 b} & \text{for}\: n = -1 \\- \frac{\sqrt{\pi} e^{c} \operatorname{erfc}{\left(b x \right)} \operatorname{erfc}^{n}{\left(b x \right)}}{2 b n + 2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c), Eq(b, 0) & (Eq(b, 0) | Eq(n, -1))), (-sqrt(pi)*exp(c)*log(erfc(b*x))/(2*b), Eq(n, -1)), (-sqrt(pi)*exp(c)*erfc(b*x)*erfc(b*x)**n/(2*b*n + 2*b), True))","A",0
156,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**5*erfc(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erfc(b*x),x)","e^{c} \int x^{3} e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**3*exp(d*x**2)*erfc(b*x), x)","F",0
158,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erfc(b*x),x)","e^{c} \int x e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erfc(b*x), x)","F",0
159,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x)/x, x)","F",0
160,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x)/x**3, x)","F",0
161,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x)/x**5,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x)/x**5, x)","F",0
162,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erfc(b*x),x)","e^{c} \int x^{4} e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**4*exp(d*x**2)*erfc(b*x), x)","F",0
163,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erfc(b*x),x)","e^{c} \int x^{2} e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**2*exp(d*x**2)*erfc(b*x), x)","F",0
164,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x),x)","e^{c} \int e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x), x)","F",0
165,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x)/x**2, x)","F",0
166,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x)/x**4,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(b*x)/x**4, x)","F",0
167,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**5*erfc(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,1,83,0,120.005050," ","integrate(exp(b**2*x**2+c)*x**3*erfc(b*x),x)","\begin{cases} \frac{x^{3} e^{c}}{3 \sqrt{\pi} b} + \frac{x^{2} e^{c} e^{b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 b^{2}} - \frac{x e^{c}}{\sqrt{\pi} b^{3}} - \frac{e^{c} e^{b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} e^{c}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*exp(c)/(3*sqrt(pi)*b) + x**2*exp(c)*exp(b**2*x**2)*erfc(b*x)/(2*b**2) - x*exp(c)/(sqrt(pi)*b**3) - exp(c)*exp(b**2*x**2)*erfc(b*x)/(2*b**4), Ne(b, 0)), (x**4*exp(c)/4, True))","A",0
169,1,41,0,13.388901," ","integrate(exp(b**2*x**2+c)*x*erfc(b*x),x)","\begin{cases} \frac{x e^{c}}{\sqrt{\pi} b} + \frac{e^{c} e^{b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} e^{c}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)/(sqrt(pi)*b) + exp(c)*exp(b**2*x**2)*erfc(b*x)/(2*b**2), Ne(b, 0)), (x**2*exp(c)/2, True))","A",0
170,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
171,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x)/x**3,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
172,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**4*erfc(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**2*erfc(b*x),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
175,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
176,-2,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x)/x**2,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
177,-1,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfc(b*x)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate(x**5*erfc(b*x)/exp(b**2*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,0,0,0,0.000000," ","integrate(x**3*erfc(b*x)/exp(b**2*x**2),x)","\int x^{3} e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(x**3*exp(-b**2*x**2)*erfc(b*x), x)","F",0
180,0,0,0,0.000000," ","integrate(x*erfc(b*x)/exp(b**2*x**2),x)","\int x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(x*exp(-b**2*x**2)*erfc(b*x), x)","F",0
181,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erfc(b*x)/x, x)","F",0
182,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x**3,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erfc(b*x)/x**3, x)","F",0
183,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x**5,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erfc(b*x)/x**5, x)","F",0
184,1,112,0,34.166755," ","integrate(x**4*erfc(b*x)/exp(b**2*x**2),x)","\begin{cases} - \frac{x^{3} e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 b^{2}} + \frac{x^{2} e^{- 2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} - \frac{3 x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{4 b^{4}} - \frac{3 \sqrt{\pi} \operatorname{erfc}^{2}{\left(b x \right)}}{16 b^{5}} + \frac{e^{- 2 b^{2} x^{2}}}{2 \sqrt{\pi} b^{5}} & \text{for}\: b \neq 0 \\\frac{x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*exp(-b**2*x**2)*erfc(b*x)/(2*b**2) + x**2*exp(-2*b**2*x**2)/(4*sqrt(pi)*b**3) - 3*x*exp(-b**2*x**2)*erfc(b*x)/(4*b**4) - 3*sqrt(pi)*erfc(b*x)**2/(16*b**5) + exp(-2*b**2*x**2)/(2*sqrt(pi)*b**5), Ne(b, 0)), (x**5/5, True))","A",0
185,1,63,0,5.776614," ","integrate(x**2*erfc(b*x)/exp(b**2*x**2),x)","\begin{cases} - \frac{x e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{2 b^{2}} - \frac{\sqrt{\pi} \operatorname{erfc}^{2}{\left(b x \right)}}{8 b^{3}} + \frac{e^{- 2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x*exp(-b**2*x**2)*erfc(b*x)/(2*b**2) - sqrt(pi)*erfc(b*x)**2/(8*b**3) + exp(-2*b**2*x**2)/(4*sqrt(pi)*b**3), Ne(b, 0)), (x**3/3, True))","A",0
186,1,17,0,0.918813," ","integrate(erfc(b*x)/exp(b**2*x**2),x)","\begin{cases} - \frac{\sqrt{\pi} \operatorname{erfc}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*erfc(b*x)**2/(4*b), Ne(b, 0)), (x, True))","A",0
187,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x**2,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erfc(b*x)/x**2, x)","F",0
188,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x**4,x)","\int \frac{e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"Integral(exp(-b**2*x**2)*erfc(b*x)/x**4, x)","F",0
189,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erfc(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erfc(b*x+a),x)","e^{c} \int x e^{d x^{2}} \operatorname{erfc}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erfc(a + b*x), x)","F",0
191,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x+a)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(a + b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(a + b*x)/x, x)","F",0
192,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x+a)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(a + b*x)/x**3, x)","F",0
193,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erfc(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erfc(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x+a),x)","e^{c} \int e^{d x^{2}} \operatorname{erfc}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(a + b*x), x)","F",0
196,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x+a)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfc}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfc(a + b*x)/x**2, x)","F",0
197,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfc(b*x+a)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,0,0,0,0.000000," ","integrate(erfc(b*x)/exp(b**2*x**2)/x**3+b**2*erfc(b*x)/exp(b**2*x**2)/x,x)","\int \frac{\left(b^{2} x^{2} + 1\right) e^{- b^{2} x^{2}} \operatorname{erfc}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral((b**2*x**2 + 1)*exp(-b**2*x**2)*erfc(b*x)/x**3, x)","F",0
199,0,0,0,0.000000," ","integrate(erfc(b*x)*sin(c+I*b**2*x**2),x)","\int \sin{\left(i b^{2} x^{2} + c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(sin(I*b**2*x**2 + c)*erfc(b*x), x)","F",0
200,0,0,0,0.000000," ","integrate(-erfc(b*x)*sin(-c+I*b**2*x**2),x)","- \int \sin{\left(i b^{2} x^{2} - c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"-Integral(sin(I*b**2*x**2 - c)*erfc(b*x), x)","F",0
201,0,0,0,0.000000," ","integrate(cos(c+I*b**2*x**2)*erfc(b*x),x)","\int \cos{\left(i b^{2} x^{2} + c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 + c)*erfc(b*x), x)","F",0
202,0,0,0,0.000000," ","integrate(cos(-c+I*b**2*x**2)*erfc(b*x),x)","\int \cos{\left(i b^{2} x^{2} - c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 - c)*erfc(b*x), x)","F",0
203,0,0,0,0.000000," ","integrate(erfc(b*x)*sinh(b**2*x**2+c),x)","\int \sinh{\left(b^{2} x^{2} + c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(sinh(b**2*x**2 + c)*erfc(b*x), x)","F",0
204,0,0,0,0.000000," ","integrate(-erfc(b*x)*sinh(b**2*x**2-c),x)","- \int \sinh{\left(b^{2} x^{2} - c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"-Integral(sinh(b**2*x**2 - c)*erfc(b*x), x)","F",0
205,0,0,0,0.000000," ","integrate(cosh(b**2*x**2+c)*erfc(b*x),x)","\int \cosh{\left(b^{2} x^{2} + c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 + c)*erfc(b*x), x)","F",0
206,0,0,0,0.000000," ","integrate(cosh(b**2*x**2-c)*erfc(b*x),x)","\int \cosh{\left(b^{2} x^{2} - c \right)} \operatorname{erfc}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 - c)*erfc(b*x), x)","F",0
207,1,88,0,2.649778," ","integrate(x**5*erfi(b*x),x)","\begin{cases} \frac{x^{6} \operatorname{erfi}{\left(b x \right)}}{6} - \frac{x^{5} e^{b^{2} x^{2}}}{6 \sqrt{\pi} b} + \frac{5 x^{3} e^{b^{2} x^{2}}}{12 \sqrt{\pi} b^{3}} - \frac{5 x e^{b^{2} x^{2}}}{8 \sqrt{\pi} b^{5}} + \frac{5 \operatorname{erfi}{\left(b x \right)}}{16 b^{6}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erfi(b*x)/6 - x**5*exp(b**2*x**2)/(6*sqrt(pi)*b) + 5*x**3*exp(b**2*x**2)/(12*sqrt(pi)*b**3) - 5*x*exp(b**2*x**2)/(8*sqrt(pi)*b**5) + 5*erfi(b*x)/(16*b**6), Ne(b, 0)), (0, True))","A",0
208,1,65,0,0.798049," ","integrate(x**3*erfi(b*x),x)","\begin{cases} \frac{x^{4} \operatorname{erfi}{\left(b x \right)}}{4} - \frac{x^{3} e^{b^{2} x^{2}}}{4 \sqrt{\pi} b} + \frac{3 x e^{b^{2} x^{2}}}{8 \sqrt{\pi} b^{3}} - \frac{3 \operatorname{erfi}{\left(b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erfi(b*x)/4 - x**3*exp(b**2*x**2)/(4*sqrt(pi)*b) + 3*x*exp(b**2*x**2)/(8*sqrt(pi)*b**3) - 3*erfi(b*x)/(16*b**4), Ne(b, 0)), (0, True))","A",0
209,1,39,0,0.187423," ","integrate(x*erfi(b*x),x)","\begin{cases} \frac{x^{2} \operatorname{erfi}{\left(b x \right)}}{2} - \frac{x e^{b^{2} x^{2}}}{2 \sqrt{\pi} b} + \frac{\operatorname{erfi}{\left(b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erfi(b*x)/2 - x*exp(b**2*x**2)/(2*sqrt(pi)*b) + erfi(b*x)/(4*b**2), Ne(b, 0)), (0, True))","A",0
210,-2,0,0,0.000000," ","integrate(erfi(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
211,1,34,0,0.431153," ","integrate(erfi(b*x)/x**3,x)","b^{2} \operatorname{erfi}{\left(b x \right)} - \frac{b e^{b^{2} x^{2}}}{\sqrt{\pi} x} - \frac{\operatorname{erfi}{\left(b x \right)}}{2 x^{2}}"," ",0,"b**2*erfi(b*x) - b*exp(b**2*x**2)/(sqrt(pi)*x) - erfi(b*x)/(2*x**2)","A",0
212,1,60,0,1.101343," ","integrate(erfi(b*x)/x**5,x)","\frac{b^{4} \operatorname{erfi}{\left(b x \right)}}{3} - \frac{b^{3} e^{b^{2} x^{2}}}{3 \sqrt{\pi} x} - \frac{b e^{b^{2} x^{2}}}{6 \sqrt{\pi} x^{3}} - \frac{\operatorname{erfi}{\left(b x \right)}}{4 x^{4}}"," ",0,"b**4*erfi(b*x)/3 - b**3*exp(b**2*x**2)/(3*sqrt(pi)*x) - b*exp(b**2*x**2)/(6*sqrt(pi)*x**3) - erfi(b*x)/(4*x**4)","A",0
213,1,87,0,2.815264," ","integrate(erfi(b*x)/x**7,x)","\frac{4 b^{6} \operatorname{erfi}{\left(b x \right)}}{45} - \frac{4 b^{5} e^{b^{2} x^{2}}}{45 \sqrt{\pi} x} - \frac{2 b^{3} e^{b^{2} x^{2}}}{45 \sqrt{\pi} x^{3}} - \frac{b e^{b^{2} x^{2}}}{15 \sqrt{\pi} x^{5}} - \frac{\operatorname{erfi}{\left(b x \right)}}{6 x^{6}}"," ",0,"4*b**6*erfi(b*x)/45 - 4*b**5*exp(b**2*x**2)/(45*sqrt(pi)*x) - 2*b**3*exp(b**2*x**2)/(45*sqrt(pi)*x**3) - b*exp(b**2*x**2)/(15*sqrt(pi)*x**5) - erfi(b*x)/(6*x**6)","A",0
214,1,99,0,4.459100," ","integrate(x**6*erfi(b*x),x)","\begin{cases} \frac{x^{7} \operatorname{erfi}{\left(b x \right)}}{7} - \frac{x^{6} e^{b^{2} x^{2}}}{7 \sqrt{\pi} b} + \frac{3 x^{4} e^{b^{2} x^{2}}}{7 \sqrt{\pi} b^{3}} - \frac{6 x^{2} e^{b^{2} x^{2}}}{7 \sqrt{\pi} b^{5}} + \frac{6 e^{b^{2} x^{2}}}{7 \sqrt{\pi} b^{7}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**7*erfi(b*x)/7 - x**6*exp(b**2*x**2)/(7*sqrt(pi)*b) + 3*x**4*exp(b**2*x**2)/(7*sqrt(pi)*b**3) - 6*x**2*exp(b**2*x**2)/(7*sqrt(pi)*b**5) + 6*exp(b**2*x**2)/(7*sqrt(pi)*b**7), Ne(b, 0)), (0, True))","A",0
215,1,75,0,1.448918," ","integrate(x**4*erfi(b*x),x)","\begin{cases} \frac{x^{5} \operatorname{erfi}{\left(b x \right)}}{5} - \frac{x^{4} e^{b^{2} x^{2}}}{5 \sqrt{\pi} b} + \frac{2 x^{2} e^{b^{2} x^{2}}}{5 \sqrt{\pi} b^{3}} - \frac{2 e^{b^{2} x^{2}}}{5 \sqrt{\pi} b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*erfi(b*x)/5 - x**4*exp(b**2*x**2)/(5*sqrt(pi)*b) + 2*x**2*exp(b**2*x**2)/(5*sqrt(pi)*b**3) - 2*exp(b**2*x**2)/(5*sqrt(pi)*b**5), Ne(b, 0)), (0, True))","A",0
216,1,49,0,0.390965," ","integrate(x**2*erfi(b*x),x)","\begin{cases} \frac{x^{3} \operatorname{erfi}{\left(b x \right)}}{3} - \frac{x^{2} e^{b^{2} x^{2}}}{3 \sqrt{\pi} b} + \frac{e^{b^{2} x^{2}}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*erfi(b*x)/3 - x**2*exp(b**2*x**2)/(3*sqrt(pi)*b) + exp(b**2*x**2)/(3*sqrt(pi)*b**3), Ne(b, 0)), (0, True))","A",0
217,1,22,0,0.126726," ","integrate(erfi(b*x),x)","\begin{cases} x \operatorname{erfi}{\left(b x \right)} - \frac{e^{b^{2} x^{2}}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*erfi(b*x) - exp(b**2*x**2)/(sqrt(pi)*b), Ne(b, 0)), (0, True))","A",0
218,1,32,0,0.977727," ","integrate(erfi(b*x)/x**2,x)","- \frac{b \operatorname{E}_{1}\left(b^{2} x^{2} e^{i \pi}\right)}{\sqrt{\pi}} - \frac{i \operatorname{erfc}{\left(i b x \right)}}{x} + \frac{i}{x}"," ",0,"-b*expint(1, b**2*x**2*exp_polar(I*pi))/sqrt(pi) - I*erfc(I*b*x)/x + I/x","C",0
219,1,63,0,1.671555," ","integrate(erfi(b*x)/x**4,x)","- \frac{b^{3} \operatorname{E}_{1}\left(b^{2} x^{2} e^{i \pi}\right)}{3 \sqrt{\pi}} - \frac{b e^{b^{2} x^{2}}}{3 \sqrt{\pi} x^{2}} - \frac{i \operatorname{erfc}{\left(i b x \right)}}{3 x^{3}} + \frac{i}{3 x^{3}}"," ",0,"-b**3*expint(1, b**2*x**2*exp_polar(I*pi))/(3*sqrt(pi)) - b*exp(b**2*x**2)/(3*sqrt(pi)*x**2) - I*erfc(I*b*x)/(3*x**3) + I/(3*x**3)","C",0
220,1,85,0,2.914888," ","integrate(erfi(b*x)/x**6,x)","- \frac{b^{5} \operatorname{E}_{1}\left(b^{2} x^{2} e^{i \pi}\right)}{10 \sqrt{\pi}} - \frac{b^{3} e^{b^{2} x^{2}}}{10 \sqrt{\pi} x^{2}} - \frac{b e^{b^{2} x^{2}}}{10 \sqrt{\pi} x^{4}} - \frac{i \operatorname{erfc}{\left(i b x \right)}}{5 x^{5}} + \frac{i}{5 x^{5}}"," ",0,"-b**5*expint(1, b**2*x**2*exp_polar(I*pi))/(10*sqrt(pi)) - b**3*exp(b**2*x**2)/(10*sqrt(pi)*x**2) - b*exp(b**2*x**2)/(10*sqrt(pi)*x**4) - I*erfc(I*b*x)/(5*x**5) + I/(5*x**5)","C",0
221,1,746,0,8.007194," ","integrate((d*x+c)**3*erfi(b*x+a),x)","\begin{cases} - \frac{a^{4} d^{3} \operatorname{erfi}{\left(a + b x \right)}}{4 b^{4}} + \frac{a^{3} c d^{2} \operatorname{erfi}{\left(a + b x \right)}}{b^{3}} + \frac{a^{3} d^{3} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{4 \sqrt{\pi} b^{4}} - \frac{3 a^{2} c^{2} d \operatorname{erfi}{\left(a + b x \right)}}{2 b^{2}} - \frac{a^{2} c d^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b^{3}} - \frac{a^{2} d^{3} x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{4 \sqrt{\pi} b^{3}} + \frac{3 a^{2} d^{3} \operatorname{erfi}{\left(a + b x \right)}}{4 b^{4}} + \frac{a c^{3} \operatorname{erfi}{\left(a + b x \right)}}{b} + \frac{3 a c^{2} d e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{2 \sqrt{\pi} b^{2}} + \frac{a c d^{2} x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b^{2}} + \frac{a d^{3} x^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{4 \sqrt{\pi} b^{2}} - \frac{3 a c d^{2} \operatorname{erfi}{\left(a + b x \right)}}{2 b^{3}} - \frac{5 a d^{3} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{8 \sqrt{\pi} b^{4}} + c^{3} x \operatorname{erfi}{\left(a + b x \right)} + \frac{3 c^{2} d x^{2} \operatorname{erfi}{\left(a + b x \right)}}{2} + c d^{2} x^{3} \operatorname{erfi}{\left(a + b x \right)} + \frac{d^{3} x^{4} \operatorname{erfi}{\left(a + b x \right)}}{4} - \frac{c^{3} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} - \frac{3 c^{2} d x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{2 \sqrt{\pi} b} - \frac{c d^{2} x^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} - \frac{d^{3} x^{3} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{4 \sqrt{\pi} b} + \frac{3 c^{2} d \operatorname{erfi}{\left(a + b x \right)}}{4 b^{2}} + \frac{c d^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b^{3}} + \frac{3 d^{3} x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{8 \sqrt{\pi} b^{3}} - \frac{3 d^{3} \operatorname{erfi}{\left(a + b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \operatorname{erfi}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*d**3*erfi(a + b*x)/(4*b**4) + a**3*c*d**2*erfi(a + b*x)/b**3 + a**3*d**3*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(4*sqrt(pi)*b**4) - 3*a**2*c**2*d*erfi(a + b*x)/(2*b**2) - a**2*c*d**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b**3) - a**2*d**3*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(4*sqrt(pi)*b**3) + 3*a**2*d**3*erfi(a + b*x)/(4*b**4) + a*c**3*erfi(a + b*x)/b + 3*a*c**2*d*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(2*sqrt(pi)*b**2) + a*c*d**2*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b**2) + a*d**3*x**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(4*sqrt(pi)*b**2) - 3*a*c*d**2*erfi(a + b*x)/(2*b**3) - 5*a*d**3*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(8*sqrt(pi)*b**4) + c**3*x*erfi(a + b*x) + 3*c**2*d*x**2*erfi(a + b*x)/2 + c*d**2*x**3*erfi(a + b*x) + d**3*x**4*erfi(a + b*x)/4 - c**3*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b) - 3*c**2*d*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(2*sqrt(pi)*b) - c*d**2*x**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b) - d**3*x**3*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(4*sqrt(pi)*b) + 3*c**2*d*erfi(a + b*x)/(4*b**2) + c*d**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b**3) + 3*d**3*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(8*sqrt(pi)*b**3) - 3*d**3*erfi(a + b*x)/(16*b**4), Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*erfi(a), True))","A",0
222,1,398,0,3.085864," ","integrate((d*x+c)**2*erfi(b*x+a),x)","\begin{cases} \frac{a^{3} d^{2} \operatorname{erfi}{\left(a + b x \right)}}{3 b^{3}} - \frac{a^{2} c d \operatorname{erfi}{\left(a + b x \right)}}{b^{2}} - \frac{a^{2} d^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{3 \sqrt{\pi} b^{3}} + \frac{a c^{2} \operatorname{erfi}{\left(a + b x \right)}}{b} + \frac{a c d e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b^{2}} + \frac{a d^{2} x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{3 \sqrt{\pi} b^{2}} - \frac{a d^{2} \operatorname{erfi}{\left(a + b x \right)}}{2 b^{3}} + c^{2} x \operatorname{erfi}{\left(a + b x \right)} + c d x^{2} \operatorname{erfi}{\left(a + b x \right)} + \frac{d^{2} x^{3} \operatorname{erfi}{\left(a + b x \right)}}{3} - \frac{c^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} - \frac{c d x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} - \frac{d^{2} x^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{3 \sqrt{\pi} b} + \frac{c d \operatorname{erfi}{\left(a + b x \right)}}{2 b^{2}} + \frac{d^{2} e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{3 \sqrt{\pi} b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \operatorname{erfi}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*d**2*erfi(a + b*x)/(3*b**3) - a**2*c*d*erfi(a + b*x)/b**2 - a**2*d**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(3*sqrt(pi)*b**3) + a*c**2*erfi(a + b*x)/b + a*c*d*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b**2) + a*d**2*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(3*sqrt(pi)*b**2) - a*d**2*erfi(a + b*x)/(2*b**3) + c**2*x*erfi(a + b*x) + c*d*x**2*erfi(a + b*x) + d**2*x**3*erfi(a + b*x)/3 - c**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b) - c*d*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b) - d**2*x**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(3*sqrt(pi)*b) + c*d*erfi(a + b*x)/(2*b**2) + d**2*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(3*sqrt(pi)*b**3), Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*erfi(a), True))","A",0
223,1,178,0,1.072340," ","integrate((d*x+c)*erfi(b*x+a),x)","\begin{cases} - \frac{a^{2} d \operatorname{erfi}{\left(a + b x \right)}}{2 b^{2}} + \frac{a c \operatorname{erfi}{\left(a + b x \right)}}{b} + \frac{a d e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{2 \sqrt{\pi} b^{2}} + c x \operatorname{erfi}{\left(a + b x \right)} + \frac{d x^{2} \operatorname{erfi}{\left(a + b x \right)}}{2} - \frac{c e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} - \frac{d x e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{2 \sqrt{\pi} b} + \frac{d \operatorname{erfi}{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \operatorname{erfi}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*d*erfi(a + b*x)/(2*b**2) + a*c*erfi(a + b*x)/b + a*d*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(2*sqrt(pi)*b**2) + c*x*erfi(a + b*x) + d*x**2*erfi(a + b*x)/2 - c*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b) - d*x*exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(2*sqrt(pi)*b) + d*erfi(a + b*x)/(4*b**2), Ne(b, 0)), ((c*x + d*x**2/2)*erfi(a), True))","A",0
224,1,51,0,0.317793," ","integrate(erfi(b*x+a),x)","\begin{cases} \frac{a \operatorname{erfi}{\left(a + b x \right)}}{b} + x \operatorname{erfi}{\left(a + b x \right)} - \frac{e^{a^{2}} e^{b^{2} x^{2}} e^{2 a b x}}{\sqrt{\pi} b} & \text{for}\: b \neq 0 \\x \operatorname{erfi}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*erfi(a + b*x)/b + x*erfi(a + b*x) - exp(a**2)*exp(b**2*x**2)*exp(2*a*b*x)/(sqrt(pi)*b), Ne(b, 0)), (x*erfi(a), True))","A",0
225,0,0,0,0.000000," ","integrate(erfi(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{erfi}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erfi(a + b*x)/(c + d*x), x)","F",0
226,0,0,0,0.000000," ","integrate(erfi(b*x+a)/(d*x+c)**2,x)","\int \frac{\operatorname{erfi}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erfi(a + b*x)/(c + d*x)**2, x)","F",0
227,0,0,0,0.000000," ","integrate(erfi(b*x+a)/(d*x+c)**3,x)","\int \frac{\operatorname{erfi}{\left(a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(erfi(a + b*x)/(c + d*x)**3, x)","F",0
228,1,168,0,4.654770," ","integrate(x**5*erfi(b*x)**2,x)","\begin{cases} \frac{x^{6} \operatorname{erfi}^{2}{\left(b x \right)}}{6} - \frac{x^{5} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{3 \sqrt{\pi} b} + \frac{x^{4} e^{2 b^{2} x^{2}}}{6 \pi b^{2}} + \frac{5 x^{3} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{6 \sqrt{\pi} b^{3}} - \frac{7 x^{2} e^{2 b^{2} x^{2}}}{12 \pi b^{4}} - \frac{5 x e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{4 \sqrt{\pi} b^{5}} + \frac{11 e^{2 b^{2} x^{2}}}{12 \pi b^{6}} + \frac{5 \operatorname{erfi}^{2}{\left(b x \right)}}{16 b^{6}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*erfi(b*x)**2/6 - x**5*exp(b**2*x**2)*erfi(b*x)/(3*sqrt(pi)*b) + x**4*exp(2*b**2*x**2)/(6*pi*b**2) + 5*x**3*exp(b**2*x**2)*erfi(b*x)/(6*sqrt(pi)*b**3) - 7*x**2*exp(2*b**2*x**2)/(12*pi*b**4) - 5*x*exp(b**2*x**2)*erfi(b*x)/(4*sqrt(pi)*b**5) + 11*exp(2*b**2*x**2)/(12*pi*b**6) + 5*erfi(b*x)**2/(16*b**6), Ne(b, 0)), (0, True))","A",0
229,1,116,0,1.583257," ","integrate(x**3*erfi(b*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{erfi}^{2}{\left(b x \right)}}{4} - \frac{x^{3} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 \sqrt{\pi} b} + \frac{x^{2} e^{2 b^{2} x^{2}}}{4 \pi b^{2}} + \frac{3 x e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{4 \sqrt{\pi} b^{3}} - \frac{e^{2 b^{2} x^{2}}}{2 \pi b^{4}} - \frac{3 \operatorname{erfi}^{2}{\left(b x \right)}}{16 b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*erfi(b*x)**2/4 - x**3*exp(b**2*x**2)*erfi(b*x)/(2*sqrt(pi)*b) + x**2*exp(2*b**2*x**2)/(4*pi*b**2) + 3*x*exp(b**2*x**2)*erfi(b*x)/(4*sqrt(pi)*b**3) - exp(2*b**2*x**2)/(2*pi*b**4) - 3*erfi(b*x)**2/(16*b**4), Ne(b, 0)), (0, True))","A",0
230,1,63,0,0.399744," ","integrate(x*erfi(b*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{erfi}^{2}{\left(b x \right)}}{2} - \frac{x e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{\sqrt{\pi} b} + \frac{e^{2 b^{2} x^{2}}}{2 \pi b^{2}} + \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*erfi(b*x)**2/2 - x*exp(b**2*x**2)*erfi(b*x)/(sqrt(pi)*b) + exp(2*b**2*x**2)/(2*pi*b**2) + erfi(b*x)**2/(4*b**2), Ne(b, 0)), (0, True))","A",0
231,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x}\, dx"," ",0,"Integral(erfi(b*x)**2/x, x)","F",0
232,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**3,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**3, x)","F",0
233,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**5,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**5, x)","F",0
234,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**7,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{7}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**7, x)","F",0
235,0,0,0,0.000000," ","integrate(x**4*erfi(b*x)**2,x)","\int x^{4} \operatorname{erfi}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**4*erfi(b*x)**2, x)","F",0
236,0,0,0,0.000000," ","integrate(x**2*erfi(b*x)**2,x)","\int x^{2} \operatorname{erfi}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(x**2*erfi(b*x)**2, x)","F",0
237,0,0,0,0.000000," ","integrate(erfi(b*x)**2,x)","\int \operatorname{erfi}^{2}{\left(b x \right)}\, dx"," ",0,"Integral(erfi(b*x)**2, x)","F",0
238,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**2,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**2, x)","F",0
239,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**4,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**4, x)","F",0
240,0,0,0,0.000000," ","integrate(erfi(b*x)**2/x**6,x)","\int \frac{\operatorname{erfi}^{2}{\left(b x \right)}}{x^{6}}\, dx"," ",0,"Integral(erfi(b*x)**2/x**6, x)","F",0
241,0,0,0,0.000000," ","integrate((d*x+c)**2*erfi(b*x+a)**2,x)","\int \left(c + d x\right)^{2} \operatorname{erfi}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*erfi(a + b*x)**2, x)","F",0
242,0,0,0,0.000000," ","integrate((d*x+c)*erfi(b*x+a)**2,x)","\int \left(c + d x\right) \operatorname{erfi}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*erfi(a + b*x)**2, x)","F",0
243,0,0,0,0.000000," ","integrate(erfi(b*x+a)**2,x)","\int \operatorname{erfi}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(erfi(a + b*x)**2, x)","F",0
244,0,0,0,0.000000," ","integrate(erfi(b*x+a)**2/(d*x+c),x)","\int \frac{\operatorname{erfi}^{2}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(erfi(a + b*x)**2/(c + d*x), x)","F",0
245,0,0,0,0.000000," ","integrate(erfi(b*x+a)**2/(d*x+c)**2,x)","\int \frac{\operatorname{erfi}^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(erfi(a + b*x)**2/(c + d*x)**2, x)","F",0
246,0,0,0,0.000000," ","integrate(x**2*erfi(d*(a+b*ln(c*x**n))),x)","\int x^{2} \operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*erfi(a*d + b*d*log(c*x**n)), x)","F",0
247,0,0,0,0.000000," ","integrate(x*erfi(d*(a+b*ln(c*x**n))),x)","\int x \operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*erfi(a*d + b*d*log(c*x**n)), x)","F",0
248,0,0,0,0.000000," ","integrate(erfi(d*(a+b*ln(c*x**n))),x)","\int \operatorname{erfi}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(erfi(d*(a + b*log(c*x**n))), x)","F",0
249,0,0,0,0.000000," ","integrate(erfi(d*(a+b*ln(c*x**n)))/x,x)","\int \frac{\operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(erfi(a*d + b*d*log(c*x**n))/x, x)","F",0
250,0,0,0,0.000000," ","integrate(erfi(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(erfi(a*d + b*d*log(c*x**n))/x**2, x)","F",0
251,0,0,0,0.000000," ","integrate(erfi(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(erfi(a*d + b*d*log(c*x**n))/x**3, x)","F",0
252,0,0,0,0.000000," ","integrate((e*x)**m*erfi(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \operatorname{erfi}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*erfi(a*d + b*d*log(c*x**n)), x)","F",0
253,1,19,0,1.588667," ","integrate(exp(b**2*x**2+c)*erfi(b*x)**2,x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \operatorname{erfi}^{3}{\left(b x \right)}}{6 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*erfi(b*x)**3/(6*b), Ne(b, 0)), (0, True))","A",0
254,1,19,0,0.519949," ","integrate(exp(b**2*x**2+c)*erfi(b*x),x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \operatorname{erfi}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*erfi(b*x)**2/(4*b), Ne(b, 0)), (0, True))","A",0
255,1,24,0,0.342003," ","integrate(exp(b**2*x**2+c)/erfi(b*x),x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erfi}{\left(b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\\tilde{\infty} x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*log(erfi(b*x))/(2*b), Ne(b, 0)), (zoo*x*exp(c), True))","A",0
256,1,24,0,0.972939," ","integrate(exp(b**2*x**2+c)/erfi(b*x)**2,x)","\begin{cases} - \frac{\sqrt{\pi} e^{c}}{2 b \operatorname{erfi}{\left(b x \right)}} & \text{for}\: b \neq 0 \\\tilde{\infty} x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*exp(c)/(2*b*erfi(b*x)), Ne(b, 0)), (zoo*x*exp(c), True))","A",0
257,1,26,0,2.066773," ","integrate(exp(b**2*x**2+c)/erfi(b*x)**3,x)","\begin{cases} - \frac{\sqrt{\pi} e^{c}}{4 b \operatorname{erfi}^{2}{\left(b x \right)}} & \text{for}\: b \neq 0 \\\tilde{\infty} x e^{c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sqrt(pi)*exp(c)/(4*b*erfi(b*x)**2), Ne(b, 0)), (zoo*x*exp(c), True))","A",0
258,1,63,0,5.019450," ","integrate(exp(b**2*x**2+c)*erfi(b*x)**n,x)","\begin{cases} \tilde{\infty} x e^{c} & \text{for}\: b = 0 \wedge n = -1 \\0^{n} x e^{c} & \text{for}\: b = 0 \\\frac{\sqrt{\pi} e^{c} \log{\left(\operatorname{erfi}{\left(b x \right)} \right)}}{2 b} & \text{for}\: n = -1 \\\frac{\sqrt{\pi} e^{c} \operatorname{erfi}{\left(b x \right)} \operatorname{erfi}^{n}{\left(b x \right)}}{2 b n + 2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*exp(c), Eq(b, 0) & Eq(n, -1)), (0**n*x*exp(c), Eq(b, 0)), (sqrt(pi)*exp(c)*log(erfi(b*x))/(2*b), Eq(n, -1)), (sqrt(pi)*exp(c)*erfi(b*x)*erfi(b*x)**n/(2*b*n + 2*b), True))","A",0
259,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**5*erfi(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erfi(b*x),x)","e^{c} \int x^{3} e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**3*exp(d*x**2)*erfi(b*x), x)","F",0
261,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erfi(b*x),x)","e^{c} \int x e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erfi(b*x), x)","F",0
262,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x)/x, x)","F",0
263,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x)/x**3, x)","F",0
264,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x)/x**5,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x)/x**5, x)","F",0
265,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erfi(b*x),x)","e^{c} \int x^{4} e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**4*exp(d*x**2)*erfi(b*x), x)","F",0
266,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erfi(b*x),x)","e^{c} \int x^{2} e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**2*exp(d*x**2)*erfi(b*x), x)","F",0
267,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x),x)","e^{c} \int e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x), x)","F",0
268,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x)/x**2, x)","F",0
269,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x)/x**4,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(b*x)/x**4, x)","F",0
270,-1,0,0,0.000000," ","integrate(x**5*erfi(b*x)/exp(b**2*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,1,63,0,154.660364," ","integrate(x**3*erfi(b*x)/exp(b**2*x**2),x)","\begin{cases} \frac{x^{3}}{3 \sqrt{\pi} b} - \frac{x^{2} e^{- b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 b^{2}} + \frac{x}{\sqrt{\pi} b^{3}} - \frac{e^{- b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 b^{4}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3/(3*sqrt(pi)*b) - x**2*exp(-b**2*x**2)*erfi(b*x)/(2*b**2) + x/(sqrt(pi)*b**3) - exp(-b**2*x**2)*erfi(b*x)/(2*b**4), Ne(b, 0)), (0, True))","A",0
272,1,27,0,16.494164," ","integrate(x*erfi(b*x)/exp(b**2*x**2),x)","\begin{cases} \frac{x}{\sqrt{\pi} b} - \frac{e^{- b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/(sqrt(pi)*b) - exp(-b**2*x**2)*erfi(b*x)/(2*b**2), Ne(b, 0)), (0, True))","A",0
273,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
274,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**3,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
275,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**5,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
276,-1,0,0,0.000000," ","integrate(x**6*erfi(b*x)/exp(b**2*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,-1,0,0,0.000000," ","integrate(x**4*erfi(b*x)/exp(b**2*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,-2,0,0,0.000000," ","integrate(x**2*erfi(b*x)/exp(b**2*x**2),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
279,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
280,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**2,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
281,-2,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**4,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
282,-1,0,0,0.000000," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**5*erfi(b*x),x)","e^{c} \int x^{5} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**5*exp(b**2*x**2)*erfi(b*x), x)","F",0
284,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x**3*erfi(b*x),x)","e^{c} \int x^{3} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x**3*exp(b**2*x**2)*erfi(b*x), x)","F",0
285,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*x*erfi(b*x),x)","e^{c} \int x e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(b**2*x**2)*erfi(b*x), x)","F",0
286,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfi(b*x)/x,x)","e^{c} \int \frac{e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(b**2*x**2)*erfi(b*x)/x, x)","F",0
287,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfi(b*x)/x**3,x)","e^{c} \int \frac{e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(b**2*x**2)*erfi(b*x)/x**3, x)","F",0
288,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfi(b*x)/x**5,x)","e^{c} \int \frac{e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{5}}\, dx"," ",0,"exp(c)*Integral(exp(b**2*x**2)*erfi(b*x)/x**5, x)","F",0
289,1,124,0,19.831463," ","integrate(exp(b**2*x**2+c)*x**4*erfi(b*x),x)","\begin{cases} \frac{x^{3} e^{c} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 b^{2}} - \frac{x^{2} e^{c} e^{2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} - \frac{3 x e^{c} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{4 b^{4}} + \frac{e^{c} e^{2 b^{2} x^{2}}}{2 \sqrt{\pi} b^{5}} + \frac{3 \sqrt{\pi} e^{c} \operatorname{erfi}^{2}{\left(b x \right)}}{16 b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*exp(c)*exp(b**2*x**2)*erfi(b*x)/(2*b**2) - x**2*exp(c)*exp(2*b**2*x**2)/(4*sqrt(pi)*b**3) - 3*x*exp(c)*exp(b**2*x**2)*erfi(b*x)/(4*b**4) + exp(c)*exp(2*b**2*x**2)/(2*sqrt(pi)*b**5) + 3*sqrt(pi)*exp(c)*erfi(b*x)**2/(16*b**5), Ne(b, 0)), (0, True))","A",0
290,1,68,0,3.788911," ","integrate(exp(b**2*x**2+c)*x**2*erfi(b*x),x)","\begin{cases} \frac{x e^{c} e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{2 b^{2}} - \frac{e^{c} e^{2 b^{2} x^{2}}}{4 \sqrt{\pi} b^{3}} - \frac{\sqrt{\pi} e^{c} \operatorname{erfi}^{2}{\left(b x \right)}}{8 b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)*exp(b**2*x**2)*erfi(b*x)/(2*b**2) - exp(c)*exp(2*b**2*x**2)/(4*sqrt(pi)*b**3) - sqrt(pi)*exp(c)*erfi(b*x)**2/(8*b**3), Ne(b, 0)), (0, True))","A",0
291,1,19,0,0.539503," ","integrate(exp(b**2*x**2+c)*erfi(b*x),x)","\begin{cases} \frac{\sqrt{\pi} e^{c} \operatorname{erfi}^{2}{\left(b x \right)}}{4 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*exp(c)*erfi(b*x)**2/(4*b), Ne(b, 0)), (0, True))","A",0
292,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfi(b*x)/x**2,x)","e^{c} \int \frac{e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(b**2*x**2)*erfi(b*x)/x**2, x)","F",0
293,0,0,0,0.000000," ","integrate(exp(b**2*x**2+c)*erfi(b*x)/x**4,x)","e^{c} \int \frac{e^{b^{2} x^{2}} \operatorname{erfi}{\left(b x \right)}}{x^{4}}\, dx"," ",0,"exp(c)*Integral(exp(b**2*x**2)*erfi(b*x)/x**4, x)","F",0
294,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**3*erfi(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
295,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x*erfi(b*x+a),x)","e^{c} \int x e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(x*exp(d*x**2)*erfi(a + b*x), x)","F",0
296,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x+a)/x,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}}{x}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(a + b*x)/x, x)","F",0
297,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x+a)/x**3,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(a + b*x)/x**3, x)","F",0
298,-1,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**4*erfi(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*x**2*erfi(b*x+a),x)","e^{c} \int x^{2} e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(x**2*exp(d*x**2)*erfi(a + b*x), x)","F",0
300,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x+a),x)","e^{c} \int e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(a + b*x), x)","F",0
301,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x+a)/x**2,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(a + b*x)/x**2, x)","F",0
302,0,0,0,0.000000," ","integrate(exp(d*x**2+c)*erfi(b*x+a)/x**4,x)","e^{c} \int \frac{e^{d x^{2}} \operatorname{erfi}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"exp(c)*Integral(exp(d*x**2)*erfi(a + b*x)/x**4, x)","F",0
303,1,53,0,31.156783," ","integrate(erfi(b*x)/exp(b**2*x**2)/x**3+b**2*erfi(b*x)/exp(b**2*x**2)/x,x)","\frac{2 b^{3} x {{}_{2}F_{2}\left(\begin{matrix} \frac{1}{2}, 1 \\ \frac{3}{2}, \frac{3}{2} \end{matrix}\middle| {- b^{2} x^{2}} \right)}}{\sqrt{\pi}} - \frac{2 b {{}_{2}F_{2}\left(\begin{matrix} - \frac{1}{2}, 1 \\ \frac{1}{2}, \frac{3}{2} \end{matrix}\middle| {- b^{2} x^{2}} \right)}}{\sqrt{\pi} x}"," ",0,"2*b**3*x*hyper((1/2, 1), (3/2, 3/2), -b**2*x**2)/sqrt(pi) - 2*b*hyper((-1/2, 1), (1/2, 3/2), -b**2*x**2)/(sqrt(pi)*x)","A",0
304,0,0,0,0.000000," ","integrate(erfi(b*x)*sin(c+I*b**2*x**2),x)","\int \sin{\left(i b^{2} x^{2} + c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(sin(I*b**2*x**2 + c)*erfi(b*x), x)","F",0
305,0,0,0,0.000000," ","integrate(-erfi(b*x)*sin(-c+I*b**2*x**2),x)","- \int \sin{\left(i b^{2} x^{2} - c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"-Integral(sin(I*b**2*x**2 - c)*erfi(b*x), x)","F",0
306,0,0,0,0.000000," ","integrate(cos(c+I*b**2*x**2)*erfi(b*x),x)","\int \cos{\left(i b^{2} x^{2} + c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 + c)*erfi(b*x), x)","F",0
307,0,0,0,0.000000," ","integrate(cos(-c+I*b**2*x**2)*erfi(b*x),x)","\int \cos{\left(i b^{2} x^{2} - c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(cos(I*b**2*x**2 - c)*erfi(b*x), x)","F",0
308,0,0,0,0.000000," ","integrate(erfi(b*x)*sinh(b**2*x**2+c),x)","\int \sinh{\left(b^{2} x^{2} + c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(sinh(b**2*x**2 + c)*erfi(b*x), x)","F",0
309,0,0,0,0.000000," ","integrate(-erfi(b*x)*sinh(b**2*x**2-c),x)","- \int \sinh{\left(b^{2} x^{2} - c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"-Integral(sinh(b**2*x**2 - c)*erfi(b*x), x)","F",0
310,0,0,0,0.000000," ","integrate(cosh(b**2*x**2+c)*erfi(b*x),x)","\int \cosh{\left(b^{2} x^{2} + c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 + c)*erfi(b*x), x)","F",0
311,0,0,0,0.000000," ","integrate(cosh(b**2*x**2-c)*erfi(b*x),x)","\int \cosh{\left(b^{2} x^{2} - c \right)} \operatorname{erfi}{\left(b x \right)}\, dx"," ",0,"Integral(cosh(b**2*x**2 - c)*erfi(b*x), x)","F",0
