Integrals 801 to 900

Sympy [F(-2)]

Exception generated. $$\int \frac{(12+6x){\log }^2\left(\frac{x}{2+x}\right)+e^{\frac{5x}{\log \left(\frac{x}{2+x}\right)}}(-20+(20+10x)\log \left(\frac{x}{2+x}\right))}{(2+x){\log }^2\left(\frac{x}{2+x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((10*x+20)*ln(x/(2+x))-20)*exp(5*x/ln(x/(2+x)))+(6*x+12)*ln(x/( 
2+x))**2)/(2+x)/ln(x/(2+x))**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $598$

Sympy [F(-2)]

Exception generated. $$\int \frac{1-11x+4x^2+(-8-8x)\log (2+2x)+(-20-20x){\log }^2(2+2x)}{-15-4x+9x^2-2x^3+(-60-28x+28x^2-4x^3)\log (2+2x)+(-60-40x+20x^2){\log }^2(2+2x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-20*x-20)*ln(2+2*x)**2+(-8*x-8)*ln(2+2*x)+4*x**2-11*x+1)/((20* 
x**2-40*x-60)*ln(2+2*x)**2+(-4*x**3+28*x**2-28*x-60)*ln(2+2*x)-2*x**3+9*x* 
*2-4*x-15),x)
 

Output:

Exception raised: PolynomialError >> 1/(5*x + 5) contains an element of th 
e set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $618$

Sympy [F(-2)]

Exception generated. $$\int \frac{(4-4x^2)\log (5)+(-1+x^2){\log }^2(5)\log (-1+x)+((-4+4x^2+e^7(-4-4x+8x^2))\log (5)+e^7(-x-x^2){\log }^2(5)+(1-x^2+e^7(1+x-2x^2)){\log }^2(5)\log (-1+x))\log (x)+((-4-4x+8x^2)\log (5)+(-x-x^2){\log }^2(5)+(1+x-2x^2){\log }^2(5)\log (-1+x))\log (x)\log \left(\frac{\log (x)}{x}\right)}{(-16x^2-16x^3+16x^4+16x^5+(8x^2+8x^3-8x^4-8x^5)\log (5)\log (-1+x)+(-x^2-x^3+x^4+x^5){\log }^2(5){\log }^2(-1+x))\log (x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-2*x**2+x+1)*ln(5)**2*ln(-1+x)+(-x**2-x)*ln(5)**2+(8*x**2-4*x 
-4)*ln(5))*ln(x)*ln(ln(x)/x)+(((-2*x**2+x+1)*exp(7)-x**2+1)*ln(5)**2*ln(-1 
+x)+(-x**2-x)*exp(7)*ln(5)**2+((8*x**2-4*x-4)*exp(7)+4*x**2-4)*ln(5))*ln(x 
)+(x**2-1)*ln(5)**2*ln(-1+x)+(-4*x**2+4)*ln(5))/((x**5+x**4-x**3-x**2)*ln( 
5)**2*ln(-1+x)**2+(-8*x**5-8*x**4+8*x**3+8*x**2)*ln(5)*ln(-1+x)+16*x**5+16 
*x**4-16*x**3-16*x**2)/ln(x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $675$

Sympy [F(-2)]

Exception generated. $$\int \frac{8+(80-20x)\log \left(\frac{324}{16-8x+x^2}\right)+(-4+21x-5x^2){\log }^2\left(\frac{324}{16-8x+x^2}\right)}{(-80+20x)\log \left(\frac{324}{16-8x+x^2}\right)+(-20x+5x^2){\log }^2\left(\frac{324}{16-8x+x^2}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-5*x**2+21*x-4)*ln(324/(x**2-8*x+16))**2+(-20*x+80)*ln(324/(x* 
*2-8*x+16))+8)/((5*x**2-20*x)*ln(324/(x**2-8*x+16))**2+(20*x-80)*ln(324/(x 
**2-8*x+16))),x)
 

Output:

Exception raised: PolynomialError >> 1/(5*x**3 - 20*x**2) contains an elem 
ent of the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $694$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-8x^2+2x^3-2x^4)\log (5)\log \left(\frac{1}{4}(-4x+x^2-x^3)\right)+(16-8x+12x^2+(-4x^2+2x^3-3x^4)\log (5))\log (-4+x^2\log (5))+(8x^2-2x^3+2x^4)\log (5)\log \left(\frac{1}{4}(-4x+x^2-x^3)\right)\log (\log \left(\frac{1}{4}(-4x+x^2-x^3)\right))}{(-16x+4x^2-4x^3+(4x^3-x^4+x^5)\log (5))\log \left(\frac{1}{4}(-4x+x^2-x^3)\right){\log }^2(-4+x^2\log (5))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2*x**4-2*x**3+8*x**2)*ln(5)*ln(-1/4*x**3+1/4*x**2-x)*ln(ln(-1/ 
4*x**3+1/4*x**2-x))+((-3*x**4+2*x**3-4*x**2)*ln(5)+12*x**2-8*x+16)*ln(x**2 
*ln(5)-4)+(-2*x**4+2*x**3-8*x**2)*ln(5)*ln(-1/4*x**3+1/4*x**2-x))/((x**5-x 
**4+4*x**3)*ln(5)-4*x**3+4*x**2-16*x)/ln(-1/4*x**3+1/4*x**2-x)/ln(x**2*ln( 
5)-4)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $700$

Sympy [F(-2)]

Exception generated. $$\int \frac{3+x^2+e^4{x}^2+(2x+2e^{4}x)\log (3)+(1+e^4){\log }^2(3)+e^{2x}(x^4+e^4{x}^4){\log }^2(3)+e^x(3x^2+3x^3+(-2x^3-2e^4{x}^3)\log (3)+(-2x^2-2e^4{x}^2){\log }^2(3))}{-3x-x^2+x^3+e^4{x}^3+(-3-2x+2x^2+2e^4{x}^2)\log (3)+(-1+x+e^{4}x){\log }^2(3)+e^x(3x^3+(6x^2+2x^3-2x^4-2e^4{x}^4)\log (3)+(2x^2-2x^3-2e^4{x}^3){\log }^2(3))+e^{2x}(-3x^4\log (3)+(-x^4+x^5+e^4{x}^5){\log }^2(3))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((x**4*exp(4)+x**4)*ln(3)**2*exp(x)**2+((-2*x**2*exp(4)-2*x**2)* 
ln(3)**2+(-2*x**3*exp(4)-2*x**3)*ln(3)+3*x**3+3*x**2)*exp(x)+(exp(4)+1)*ln 
(3)**2+(2*x*exp(4)+2*x)*ln(3)+x**2*exp(4)+x**2+3)/(((x**5*exp(4)+x**5-x**4 
)*ln(3)**2-3*x**4*ln(3))*exp(x)**2+((-2*x**3*exp(4)-2*x**3+2*x**2)*ln(3)** 
2+(-2*x**4*exp(4)-2*x**4+2*x**3+6*x**2)*ln(3)+3*x**3)*exp(x)+(x*exp(4)+x-1 
)*ln(3)**2+(2*x**2*exp(4)+2*x**2-2*x-3)*ln(3)+x**3*exp(4)+x**3-x**2-3*x),x 
)
 

Output:

Exception raised: PolynomialError >> 1/(x**5*log(3)**3 + 2*x**5*exp(4)*log 
(3)**3 + x**5*exp(8)*log(3)**3 - 6*x**4*exp(4)*log(3)**2 - 2*x**4*exp(4)*l 
og(3)**3 - 6*x**4*log(3)**2 - 2*x**4*log(3)**3 + x**3*log(3)**3 + 6*x**3*l 
og(3)**2 + 9*x*
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $702$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-\frac{x}{\log (2x)}}(e^{-4+x}{x}^2-e^{-4+x}{x}^2\log (2x)+e^{-4+x}(2x+x^2){\log }^2(2x))}{{\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((x**2+2*x)*exp(-4+x)*ln(2*x)**2-x**2*exp(-4+x)*ln(2*x)+x**2*exp 
(-4+x))/ln(2*x)**2/exp(x/ln(2*x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $743$

Sympy [F(-2)]

Exception generated. $$\int \frac{-10+4x+(-2+2x-x^2)\log (x)+(2-x)\log (-\frac{x}{-2+x})}{-2x+x^2+(-4x+2x^2)\log (x)+(-2x+x^2){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-x**2+2*x-2)*ln(x)+(2-x)*ln(-x/(-2+x))+4*x-10)/((x**2-2*x)*ln( 
x)**2+(2*x**2-4*x)*ln(x)+x**2-2*x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $778$

Sympy [F(-2)]

Exception generated. $$\int \frac{4^{\frac{-16-8x-x^2}{-2-2x+2\log (\log \left(x^2\right))}}((32+48x+18x^2+2x^3)\log (4)+(2+8x+10x^2+4x^3+(-8x-6x^2+3x^3+x^4)\log (4))\log \left(x^2\right)+(-4-12x-8x^2+(-8x-10x^2-2x^3)\log (4))\log \left(x^2\right)\log (\log \left(x^2\right))+(2+4x)\log \left(x^2\right){\log }^2(\log \left(x^2\right)))}{(2+4x+2x^2)\log \left(x^2\right)+(-4-4x)\log \left(x^2\right)\log (\log \left(x^2\right))+2\log \left(x^2\right){\log }^2(\log \left(x^2\right))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2+4*x)*ln(x**2)*ln(ln(x**2))**2+(2*(-2*x**3-10*x**2-8*x)*ln(2) 
-8*x**2-12*x-4)*ln(x**2)*ln(ln(x**2))+(2*(x**4+3*x**3-6*x**2-8*x)*ln(2)+4* 
x**3+10*x**2+8*x+2)*ln(x**2)+2*(2*x**3+18*x**2+48*x+32)*ln(2))*exp(2*(-x** 
2-8*x-16)*ln(2)/(2*ln(ln(x**2))-2*x-2))/(2*ln(x**2)*ln(ln(x**2))**2+(-4-4* 
x)*ln(x**2)*ln(ln(x**2))+(2*x**2+4*x+2)*ln(x**2)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $835$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{5/4}(-360+72x){\log }^3(x)+e^{5/4}(-90+36x){\log }^4(x)+(180-72x){\log }^5(x)}{-e^{25/4}+10e^5\log (x)-40e^{15/4}{\log }^2(x)+80e^{5/2}{\log }^3(x)-80e^{5/4}{\log }^4(x)+32{\log }^5(x)}dx=\text{Exception raised: AttributeError}$$ Input:

integrate(((-72*x+180)*ln(x)**5+(36*x-90)*exp(5/4)*ln(x)**4+(72*x-360)*exp 
(5/4)*ln(x)**3)/(32*ln(x)**5-80*exp(5/4)*ln(x)**4+80*exp(5/4)**2*ln(x)**3- 
40*exp(5/4)**3*ln(x)**2+10*exp(5/4)**4*ln(x)-exp(5/4)**5),x)
 

Output:

Exception raised: AttributeError >> 'NoneType' object has no attribute 'ex 
pr'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $852$

Sympy [F(-2)]

Exception generated. $$\int \frac{-8-2x+(7+9x-15x^2-2x^3)\log (x)+(-x-2x^2){\log }^2(x)+(1+2x)\log (x)\log (\log (x))}{(64x+32x^2+4x^3)\log (x)+(16x+4x^2){\log }^2(x)+x{\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((1+2*x)*ln(x)*ln(ln(x))+(-2*x**2-x)*ln(x)**2+(-2*x**3-15*x**2+9 
*x+7)*ln(x)-2*x-8)/(x*ln(x)**3+(4*x**2+16*x)*ln(x)**2+(4*x**3+32*x**2+64*x 
)*ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $917$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^4(-1+17x-4x^2-12x^3+3x^4)+e^4(4x-3x^3)\log (x)+(e^4(20-5x-12x^2+3x^3)+e^4(5-3x^2)\log (x))\log (-4+x-\log (x))+(e^4(-4x+x^2)-e^{4}x\log (x)+(e^4(-4+x)-e^4\log (x))\log (-4+x-\log (x)))\log (x+\log (-4+x-\log (x)))}{4x-x^2+x\log (x)+(4-x+\log (x))\log (-4+x-\log (x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-exp(4)*ln(x)+(-4+x)*exp(4))*ln(-ln(x)+x-4)-x*exp(4)*ln(x)+(x 
**2-4*x)*exp(4))*ln(ln(-ln(x)+x-4)+x)+((-3*x**2+5)*exp(4)*ln(x)+(3*x**3-12 
*x**2-5*x+20)*exp(4))*ln(-ln(x)+x-4)+(-3*x**3+4*x)*exp(4)*ln(x)+(3*x**4-12 
*x**3-4*x**2+17*x-1)*exp(4))/((ln(x)-x+4)*ln(-ln(x)+x-4)+x*ln(x)-x**2+4*x) 
,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1003$

Sympy [F(-2)]

Exception generated. $$\int \frac{{\left(\frac{x+4\log \left(\frac{(-4+4x)\log (4)}{5x}\right)}{\log \left(\frac{(-4+4x)\log (4)}{5x}\right)}\right)}^{\frac{1}{\log \left(x^2\right)}}(-x\log \left(x^2\right)+(-x+x^2)\log \left(x^2\right)\log \left(\frac{(-4+4x)\log (4)}{5x}\right)+((2x-2x^2)\log \left(\frac{(-4+4x)\log (4)}{5x}\right)+(8-8x){\log }^2\left(\frac{(-4+4x)\log (4)}{5x}\right))\log \left(\frac{x+4\log \left(\frac{(-4+4x)\log (4)}{5x}\right)}{\log \left(\frac{(-4+4x)\log (4)}{5x}\right)}\right))}{(-x^2+x^3){\log }^2\left(x^2\right)\log \left(\frac{(-4+4x)\log (4)}{5x}\right)+(-4x+4x^2){\log }^2\left(x^2\right){\log }^2\left(\frac{(-4+4x)\log (4)}{5x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-8*x+8)*ln(2/5*(-4+4*x)*ln(2)/x)**2+(-2*x**2+2*x)*ln(2/5*(-4+ 
4*x)*ln(2)/x))*ln((4*ln(2/5*(-4+4*x)*ln(2)/x)+x)/ln(2/5*(-4+4*x)*ln(2)/x)) 
+(x**2-x)*ln(x**2)*ln(2/5*(-4+4*x)*ln(2)/x)-x*ln(x**2))*exp(ln((4*ln(2/5*( 
-4+4*x)*ln(2)/x)+x)/ln(2/5*(-4+4*x)*ln(2)/x))/ln(x**2))/((4*x**2-4*x)*ln(x 
**2)**2*ln(2/5*(-4+4*x)*ln(2)/x)**2+(x**3-x**2)*ln(x**2)**2*ln(2/5*(-4+4*x 
)*ln(2)/x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1049$

Sympy [F(-2)]

Exception generated. $$\int \frac{4+4\log \left(\frac{5\log (3)}{e^{2}x}\right)+(-4-8x){\log }^2\left(\frac{5\log (3)}{e^{2}x}\right)+(-2-2\log \left(\frac{5\log (3)}{e^{2}x}\right)+(2+4x){\log }^2\left(\frac{5\log (3)}{e^{2}x}\right))\log \left(\frac{x+(-x-x^2)\log \left(\frac{5\log (3)}{e^{2}x}\right)}{\log \left(\frac{5\log (3)}{e^{2}x}\right)}\right)}{-x\log \left(\frac{5\log (3)}{e^{2}x}\right)+(x+x^2){\log }^2\left(\frac{5\log (3)}{e^{2}x}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((2+4*x)*ln(5*ln(3)/exp(2)/x)**2-2*ln(5*ln(3)/exp(2)/x)-2)*ln(( 
(-x**2-x)*ln(5*ln(3)/exp(2)/x)+x)/ln(5*ln(3)/exp(2)/x))+(-8*x-4)*ln(5*ln(3 
)/exp(2)/x)**2+4*ln(5*ln(3)/exp(2)/x)+4)/((x**2+x)*ln(5*ln(3)/exp(2)/x)**2 
-x*ln(5*ln(3)/exp(2)/x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**3 + 2*x**2 + x) contains an ele 
ment of the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1116$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-\frac{x}{\log \left(\frac{48x}{4+3x}\right)}}(1036+(-1036-777x)\log \left(\frac{48x}{4+3x}\right))}{(4+3x){\log }^2\left(\frac{48x}{4+3x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-777*x-1036)*ln(48*x/(4+3*x))+1036)/(4+3*x)/ln(48*x/(4+3*x))** 
2/exp(x/ln(48*x/(4+3*x))),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1259$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{3-x+3\log \left(\frac{-20-5x-2x^2}{6x}\right)}{\log \left(\frac{-20-5x-2x^2}{6x}\right)}}(60-20x-6x^2+2x^3+(-20x-5x^2-2x^3)\log \left(\frac{-20-5x-2x^2}{6x}\right))}{(20x+5x^2+2x^3){\log }^2\left(\frac{-20-5x-2x^2}{6x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-2*x**3-5*x**2-20*x)*ln(1/6*(-2*x**2-5*x-20)/x)+2*x**3-6*x**2- 
20*x+60)*exp((3*ln(1/6*(-2*x**2-5*x-20)/x)+3-x)/ln(1/6*(-2*x**2-5*x-20)/x) 
)/(2*x**3+5*x**2+20*x)/ln(1/6*(-2*x**2-5*x-20)/x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1276$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{2+2x}(36-9x)+4x-x^2+e^{1+x}(8x-6x^2+x^3)+(-8x+2x^2+e^{1+x}(-72+18x))\log (x)+(36-9x){\log }^2(x)+(e^{2+2x}(-48-9x)-e^{1+x}{x}^2+(x^2+e^{1+x}(96+18x))\log (x)+(-48-9x){\log }^2(x))\log \left(\frac{x^2+e^{1+x}(48+9x)+(-48-9x)\log (x)}{-12e^{1+x}+12\log (x)}\right)}{e^{1+x}{x}^2+e^{2+2x}(48+9x)+(e^{1+x}(-96-18x)-x^2)\log (x)+(48+9x){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((-9*x-48)*ln(x)**2+((18*x+96)*exp(1+x)+x**2)*ln(x)+(-9*x-48)*e 
xp(1+x)**2-x**2*exp(1+x))*ln(((-9*x-48)*ln(x)+(9*x+48)*exp(1+x)+x**2)/(12* 
ln(x)-12*exp(1+x)))+(-9*x+36)*ln(x)**2+((18*x-72)*exp(1+x)+2*x**2-8*x)*ln( 
x)+(-9*x+36)*exp(1+x)**2+(x**3-6*x**2+8*x)*exp(1+x)-x**2+4*x)/((9*x+48)*ln 
(x)**2+((-18*x-96)*exp(1+x)-x**2)*ln(x)+(9*x+48)*exp(1+x)**2+x**2*exp(1+x) 
),x)
 

Output:

Exception raised: PolynomialError >> 1/(27*x**3 + 288*x**2 + 768*x) contai 
ns an element of the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1296$

Sympy [F(-2)]

Exception generated. $$\int \frac{100+40x+4x^2+(-50-40x-6x^2)\log (x)+(10x+2x^2){\log }^2(x)-4x{\log }^3(x)+(-4+2x){\log }^4(x)+2{\log }^5(x)+((-100-20x)\log (x)-20{\log }^3(x))\log (-2+\log (x))+(-200-40x+(100+40x)\log (x)-10x{\log }^2(x)){\log }^2(-2+\log (x))+100\log (x){\log }^3(-2+\log (x))+(100-50\log (x)){\log }^4(-2+\log (x))}{-2x{\log }^3(x)+x{\log }^4(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-50*ln(x)+100)*ln(ln(x)-2)**4+100*ln(x)*ln(ln(x)-2)**3+(-10*x* 
ln(x)**2+(40*x+100)*ln(x)-40*x-200)*ln(ln(x)-2)**2+(-20*ln(x)**3+(-20*x-10 
0)*ln(x))*ln(ln(x)-2)+2*ln(x)**5+(2*x-4)*ln(x)**4-4*x*ln(x)**3+(2*x**2+10* 
x)*ln(x)**2+(-6*x**2-40*x-50)*ln(x)+4*x**2+40*x+100)/(x*ln(x)**4-2*x*ln(x) 
**3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1331$

Sympy [F(-2)]

Exception generated. $$\int \frac{(64-16x)\log (x)+(-64x+16x^2)\log (x)\log (2x)+(64-16x+(64-48x)\log (x))\log (2x)\log \left(\frac{e^x}{\log (2x)}\right)}{(-64x^2+48x^3-12x^4+x^5){\log }^2(x)\log (2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-48*x+64)*ln(x)-16*x+64)*ln(2*x)*ln(exp(x)/ln(2*x))+(16*x**2- 
64*x)*ln(x)*ln(2*x)+(-16*x+64)*ln(x))/(x**5-12*x**4+48*x**3-64*x**2)/ln(x) 
**2/ln(2*x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1387$

Sympy [F(-2)]

Exception generated. $$\int \frac{-240x-48x^2+(240x+48x^2)\log (x)+((240x+96x^2)\log (x)+(45+18x){\log }^2(x))\log \left(\frac{16x+3\log (x)}{\log (x)}\right)\log (2\log \left(\frac{16x+3\log (x)}{\log (x)}\right))}{(16x\log (x)+3{\log }^2(x))\log \left(\frac{16x+3\log (x)}{\log (x)}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((18*x+45)*ln(x)**2+(96*x**2+240*x)*ln(x))*ln((3*ln(x)+16*x)/ln 
(x))*ln(2*ln((3*ln(x)+16*x)/ln(x)))+(48*x**2+240*x)*ln(x)-48*x**2-240*x)/( 
3*ln(x)**2+16*x*ln(x))/ln((3*ln(x)+16*x)/ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1455$

Sympy [F(-2)]

Exception generated. $$\int \frac{-45+39x-56x^2+40x^3-11x^4+x^5+(-45+30x-170x^2+119x^3-58x^4+13x^5-x^6)\log (x)+(9x^2-6x^3+13x^4-11x^5-x^6-4x^7-5x^8+x^9){\log }^2(x)}{(45x-39x^2+56x^3-40x^4+11x^5-x^6)\log (x)+(9x^3-6x^4+19x^5-12x^6+11x^7-6x^8+x^9){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((x**9-5*x**8-4*x**7-x**6-11*x**5+13*x**4-6*x**3+9*x**2)*ln(x)** 
2+(-x**6+13*x**5-58*x**4+119*x**3-170*x**2+30*x-45)*ln(x)+x**5-11*x**4+40* 
x**3-56*x**2+39*x-45)/((x**9-6*x**8+11*x**7-12*x**6+19*x**5-6*x**4+9*x**3) 
*ln(x)**2+(-x**6+11*x**5-40*x**4+56*x**3-39*x**2+45*x)*ln(x)),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: PolynomialError >> 1/(x**7 + 2*x**5 + x**3) contains an 
element of the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1506$

Sympy [F(-2)]

Exception generated. $$\int \frac{x-21x^2+20x^3+e^5(-20x+20x^2)+x\log (4x)+(-2x+2x^2+e^5(-2+2x)+(-e^5-x)\log (4x))\log (e^5+x)}{20x^3-40x^4+20x^5+e^5(20x^2-40x^3+20x^4)+(40x^3-40x^4+e^5(40x^2-40x^3))\log (4x)+(20e^5{x}^2+20x^3){\log }^2(4x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-exp(5)-x)*ln(4*x)+(2*x-2)*exp(5)+2*x**2-2*x)*ln(exp(5)+x)+x* 
ln(4*x)+(20*x**2-20*x)*exp(5)+20*x**3-21*x**2+x)/((20*x**2*exp(5)+20*x**3) 
*ln(4*x)**2+((-40*x**3+40*x**2)*exp(5)-40*x**4+40*x**3)*ln(4*x)+(20*x**4-4 
0*x**3+20*x**2)*exp(5)+20*x**5-40*x**4+20*x**3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1587$

Sympy [F(-2)]

Exception generated. $$\int \frac{(5x+4e^{3}x)\log (x)+(-19+e^3(8-4x)-5x)\log \left(\frac{1}{5}(38+10x+e^3(-16+8x))\right)}{(19x+5x^2+e^3(-8x+4x^2)){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-4*x+8)*exp(3)-5*x-19)*ln(1/5*(8*x-16)*exp(3)+2*x+38/5)+(4*x* 
exp(3)+5*x)*ln(x))/((4*x**2-8*x)*exp(3)+5*x**2+19*x)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1657$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-8x+4x^2)\log (-2+x)\log (\frac{1}{2}(1+2x))+(-2x-4x^2+(2+3x-2x^2)\log (-2+x)){\log }^2(\frac{1}{2}(1+2x))}{(-2x^2-3x^3+2x^4){\log }^3(-2+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-2*x**2+3*x+2)*ln(-2+x)-4*x**2-2*x)*ln(1/2+x)**2+(4*x**2-8*x) 
*ln(-2+x)*ln(1/2+x))/(2*x**4-3*x**3-2*x**2)/ln(-2+x)**3,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1661$

Sympy [F(-2)]

Exception generated. $$\int \frac{4x^5+x^3\log (x)+(-32x^3\log \left(\frac{4}{x}\right)+64x^3\log \left(\frac{4}{x}\right)\log (x))\log (\log \left(\frac{4}{x}\right))\log (\log (\log \left(\frac{4}{x}\right)))\log (\log (\log (\log \left(\frac{4}{x}\right))))+(2x^3\log \left(\frac{4}{x}\right)-4x^3\log \left(\frac{4}{x}\right)\log (x))\log (\log \left(\frac{4}{x}\right))\log (\log (\log \left(\frac{4}{x}\right)))\log (\log (\log (\log \left(\frac{4}{x}\right))))\log (\log (\log (\log (\log \left(\frac{4}{x}\right)))))}{(64x^6\log \left(\frac{4}{x}\right)+48x^4\log \left(\frac{4}{x}\right)\log (x)+12x^2\log \left(\frac{4}{x}\right){\log }^2(x)+\log \left(\frac{4}{x}\right){\log }^3(x))\log (\log \left(\frac{4}{x}\right))\log (\log (\log \left(\frac{4}{x}\right)))\log (\log (\log (\log \left(\frac{4}{x}\right))))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-4*x**3*ln(4/x)*ln(x)+2*x**3*ln(4/x))*ln(ln(4/x))*ln(ln(ln(4/x 
)))*ln(ln(ln(ln(4/x))))*ln(ln(ln(ln(ln(4/x)))))+(64*x**3*ln(4/x)*ln(x)-32* 
x**3*ln(4/x))*ln(ln(4/x))*ln(ln(ln(4/x)))*ln(ln(ln(ln(4/x))))+x**3*ln(x)+4 
*x**5)/(ln(4/x)*ln(x)**3+12*x**2*ln(4/x)*ln(x)**2+48*x**4*ln(4/x)*ln(x)+64 
*x**6*ln(4/x))/ln(ln(4/x))/ln(ln(ln(4/x)))/ln(ln(ln(ln(4/x)))),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1705$

Sympy [F(-2)]

Exception generated. $$\int \frac{\log (x){\log }^2(\log (x))+e^{\frac{2x^2}{\log (\log (x))}}(-2x+4x\log (x)\log (\log (x)))}{\log (x){\log }^2(\log (x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((4*x*ln(x)*ln(ln(x))-2*x)*exp(x**2/ln(ln(x)))**2+ln(x)*ln(ln(x) 
)**2)/ln(x)/ln(ln(x))**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1820$

Sympy [F(-2)]

Exception generated. $$\int \frac{4+(1+x)\log \left(\frac{3}{x^2}\right){\log }^2({\log }^2\left(\frac{3}{x^2}\right))}{x\log \left(\frac{3}{x^2}\right)\log ({\log }^2\left(\frac{3}{x^2}\right))+((-x+x^2)\log \left(\frac{3}{x^2}\right)+x\log \left(\frac{3}{x^2}\right)\log (x)){\log }^2({\log }^2\left(\frac{3}{x^2}\right))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((1+x)*ln(3/x**2)*ln(ln(3/x**2)**2)**2+4)/((x*ln(3/x**2)*ln(x)+( 
x**2-x)*ln(3/x**2))*ln(ln(3/x**2)**2)**2+x*ln(3/x**2)*ln(ln(3/x**2)**2)),x 
)
 

Output:

Exception raised: PolynomialError >> 1/(2*_t0**3*x + 4*_t0**2*x**2 - 4*_t0 
**2*x - _t0**2*x*log(3) + 2*_t0*x**3 - 4*_t0*x**2 - 2*_t0*x**2*log(3) + 2* 
_t0*x + 2*_t0*x*log(3) - x**3*log(3) + 2*x**2*log(3) - x*log(3)) contains 
an element of t
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1945$

Sympy [F(-2)]

Exception generated. $$\int \frac{2x^3-4x^4+(6x-12x^2-4x^3+3x^4+x^5)\log (-x+x^2)+(-12x+6x^2+6x^3){\log }^2(-x+x^2)+(-10+9x+x^2){\log }^3(-x+x^2)}{(-x^4+x^5)\log (-x+x^2)+(-6x^2+6x^3){\log }^2(-x+x^2)+(-9+8x+x^2){\log }^3(-x+x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((x**2+9*x-10)*ln(x**2-x)**3+(6*x**3+6*x**2-12*x)*ln(x**2-x)**2+ 
(x**5+3*x**4-4*x**3-12*x**2+6*x)*ln(x**2-x)-4*x**4+2*x**3)/((x**2+8*x-9)*l 
n(x**2-x)**3+(6*x**3-6*x**2)*ln(x**2-x)**2+(x**5-x**4)*ln(x**2-x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**6 + 34*x**5 + 415*x**4 + 1980*x 
**3 + 1215*x**2 - 10206*x + 6561) contains an element of the set of genera 
tors.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $1951$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{-2-x}{(-x+2x^3)\log (x)}}(-2-x+4x^2+2x^3+(-2+12x^2+4x^3)\log (x))}{(x^2-4x^4+4x^6){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((4*x**3+12*x**2-2)*ln(x)+2*x**3+4*x**2-x-2)*exp((-2-x)/(2*x**3- 
x)/ln(x))/(4*x**6-4*x**4+x**2)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2019$

Sympy [F(-2)]

Exception generated. $$\int \frac{4x^3+4x^2\log (5)+(x-8x^4+(1-8x^2-8x^3)\log (5))\log (x)\log (\log (x))+(4x^2+4x\log (5)+(-12x^3+(-8x-12x^2)\log (5))\log (x)\log (\log (x)))\log \left(\frac{x^2}{(x^2+2x\log (5)+{\log }^2(5))\log (\log (x))}\right)+(-4x^2-4x\log (5))\log (x)\log (\log (x)){\log }^2\left(\frac{x^2}{(x^2+2x\log (5)+{\log }^2(5))\log (\log (x))}\right)}{(2x+2\log (5))\log (x)\log (\log (x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-4*x*ln(5)-4*x**2)*ln(x)*ln(ln(x))*ln(x**2/(ln(5)**2+2*x*ln(5) 
+x**2)/ln(ln(x)))**2+(((-12*x**2-8*x)*ln(5)-12*x**3)*ln(x)*ln(ln(x))+4*x*l 
n(5)+4*x**2)*ln(x**2/(ln(5)**2+2*x*ln(5)+x**2)/ln(ln(x)))+((-8*x**3-8*x**2 
+1)*ln(5)-8*x**4+x)*ln(x)*ln(ln(x))+4*x**2*ln(5)+4*x**3)/(2*ln(5)+2*x)/ln( 
x)/ln(ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2117$

Sympy [F(-2)]

Exception generated. $$\int \frac{(320+1264x+1740x^2+925x^3+125x^4)\log \left(\frac{5+x}{5}\right)+(250x+50x^2+(250x+50x^2)\log (2)){\log }^2\left(\frac{5+x}{5}\right)+\log (x)(-64x-240x^2-300x^3-125x^4+(-250x-50x^2)\log \left(\frac{5+x}{5}\right))}{(320x+1264x^2+1740x^3+925x^4+125x^5)\log (x)\log \left(\frac{5+x}{5}\right)+(-320x-1264x^2-1740x^3-925x^4-125x^5+(-320x-1264x^2-1740x^3-925x^4-125x^5)\log (2)){\log }^2\left(\frac{5+x}{5}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((-50*x**2-250*x)*ln(1+1/5*x)-125*x**4-300*x**3-240*x**2-64*x)* 
ln(x)+((50*x**2+250*x)*ln(2)+50*x**2+250*x)*ln(1+1/5*x)**2+(125*x**4+925*x 
**3+1740*x**2+1264*x+320)*ln(1+1/5*x))/((125*x**5+925*x**4+1740*x**3+1264* 
x**2+320*x)*ln(1+1/5*x)*ln(x)+((-125*x**5-925*x**4-1740*x**3-1264*x**2-320 
*x)*ln(2)-125*x**5-925*x**4-1740*x**3-1264*x**2-320*x)*ln(1+1/5*x)**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2*log(2) + x**2 + 5*x*log(2) + 
5*x) contains an element of the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2164$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{135x}{-5x^2+\log (x)}}(-270x+1350x^3+50x^4+(270x-20x^2)\log (x)+2{\log }^2(x))}{375x^4-150x^2\log (x)+15{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2*ln(x)**2+(-20*x**2+270*x)*ln(x)+50*x**4+1350*x**3-270*x)*exp( 
135*x/(ln(x)-5*x**2))/(15*ln(x)**2-150*x**2*ln(x)+375*x**4),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2240$

Sympy [F(-2)]

Exception generated. $$\int \frac{8x-16x^3-16x^4+e^8(-48x^3-48x^4)+e^{12}(16x^3+16x^4)+e^4(-8x+48x^3+48x^4)+(-4+24x^2+16x^3-8x^4+e^8(24x^2-24x^4)+e^{12}(8x^3+8x^4)+e^4(-48x^2-24x^3+24x^4))\log (x)+(-12x+12x^3+e^4(12x-12x^2-24x^3)+e^8(12x^2+12x^3)){\log }^2(x)+(2-4x-6x^2+e^4(6x+6x^2)){\log }^3(x)+(1+x){\log }^4(x)+(16-32x+32e^{4}x+(8-16x+16e^{4}x)\log (x))\log (2+\log (x))}{-16x^4+48e^4{x}^4-48e^8{x}^4+16e^{12}{x}^4+(24x^3-8x^4+8e^{12}{x}^4+e^8(24x^3-24x^4)+e^4(-48x^3+24x^4))\log (x)+(-12x^2+12x^3+12e^8{x}^3+e^4(12x^2-24x^3)){\log }^2(x)+(2x-6x^2+6e^4{x}^2){\log }^3(x)+x{\log }^4(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((16*x*exp(4)-16*x+8)*ln(x)+32*x*exp(4)-32*x+16)*ln(ln(x)+2)+(1 
+x)*ln(x)**4+((6*x**2+6*x)*exp(4)-6*x**2-4*x+2)*ln(x)**3+((12*x**3+12*x**2 
)*exp(4)**2+(-24*x**3-12*x**2+12*x)*exp(4)+12*x**3-12*x)*ln(x)**2+((8*x**4 
+8*x**3)*exp(4)**3+(-24*x**4+24*x**2)*exp(4)**2+(24*x**4-24*x**3-48*x**2)* 
exp(4)-8*x**4+16*x**3+24*x**2-4)*ln(x)+(16*x**4+16*x**3)*exp(4)**3+(-48*x* 
*4-48*x**3)*exp(4)**2+(48*x**4+48*x**3-8*x)*exp(4)-16*x**4-16*x**3+8*x)/(x 
*ln(x)**4+(6*x**2*exp(4)-6*x**2+2*x)*ln(x)**3+(12*x**3*exp(4)**2+(-24*x**3 
+12*x**2)*exp(4)+12*x**3-12*x**2)*ln(x)**2+(8*x**4*exp(4)**3+(-24*x**4+24* 
x**3)*exp(4)**2+(24*x**4-48*x**3)*exp(4)-8*x**4+24*x**3)*ln(x)+16*x**4*exp 
(4)**3-48*x**4*exp(4)**2+48*x**4*exp(4)-16*x**4),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2277$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^2+2x\log (x)+{\log }^2(x)+e^{\frac{2(25+e{x}^2+ex\log (x))}{x^2+x\log (x)}}(-25-50x+x^3+(-25+2x^2)\log (x)+x{\log }^2(x))}{x^2+2x\log (x)+{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((x*ln(x)**2+(2*x**2-25)*ln(x)+x**3-50*x-25)*exp((x*exp(1)*ln(x) 
+x**2*exp(1)+25)/(x*ln(x)+x**2))**2+ln(x)**2+2*x*ln(x)+x**2)/(ln(x)**2+2*x 
*ln(x)+x**2),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2344$

Sympy [F(-2)]

Exception generated. $$\int \frac{-4{\log }^2(2x)+e^{-e^{\frac{6x^2}{\log (2x)}}+2x}((1+2x){\log }^2(2x)+e^{\frac{6x^2}{\log (2x)}}(6x^2-12x^2\log (2x)))}{{\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-12*x**2*ln(2*x)+6*x**2)*exp(6*x**2/ln(2*x))+(1+2*x)*ln(2*x)* 
*2)*exp(-exp(6*x**2/ln(2*x))+2*x)-4*ln(2*x)**2)/ln(2*x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2387$

Sympy [F(-2)]

Exception generated. $$\int \frac{-4x\log (x)+4e^{2x+4e^{2x}{x}^2}{x}^2(8+8x)\log (x)+(2x+e^{4e^{2x}{x}^2}(-2-2\log (x))+2x\log (x))\log (e^{8e^{2x}{x}^2}-2e^{4e^{2x}{x}^2}x+x^2)}{e^{4e^{2x}{x}^2}{x}^2{\log }^2(x)-x^3{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-2*ln(x)-2)*exp(exp(ln(2*x)+x)**2)+2*x*ln(x)+2*x)*ln(exp(exp( 
ln(2*x)+x)**2)**2-2*x*exp(exp(ln(2*x)+x)**2)+x**2)+(8*x+8)*ln(x)*exp(ln(2* 
x)+x)**2*exp(exp(ln(2*x)+x)**2)-4*x*ln(x))/(x**2*ln(x)**2*exp(exp(ln(2*x)+ 
x)**2)-x**3*ln(x)**2),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2398$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{x^2+x\log (x)}{-x+\log \left(\frac{e^6(9x^2-6x^3+x^4)+e^3(-6x+2x^2)\log (x)+{\log }^2(x)}{e^6{x}^2}\right)}}(-2x+e^3(3x^2-x^4)+(-2+x-x^2-2e^3{x}^2)\log (x)+2{\log }^2(x)+(e^3(-3x-5x^2+2x^3)+(1+2x+e^3(-3x+x^2))\log (x)+{\log }^2(x))\log \left(\frac{e^6(9x^2-6x^3+x^4)+e^3(-6x+2x^2)\log (x)+{\log }^2(x)}{e^6{x}^2}\right))}{e^3(-3x^3+x^4)+x^2\log (x)+(e^3(6x^2-2x^3)-2x\log (x))\log \left(\frac{e^6(9x^2-6x^3+x^4)+e^3(-6x+2x^2)\log (x)+{\log }^2(x)}{e^6{x}^2}\right)+(e^3(-3x+x^2)+\log (x)){\log }^2\left(\frac{e^6(9x^2-6x^3+x^4)+e^3(-6x+2x^2)\log (x)+{\log }^2(x)}{e^6{x}^2}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((ln(x)**2+((x**2-3*x)*exp(3)+2*x+1)*ln(x)+(2*x**3-5*x**2-3*x)*e 
xp(3))*ln((ln(x)**2+(2*x**2-6*x)*exp(3)*ln(x)+(x**4-6*x**3+9*x**2)*exp(3)* 
*2)/x**2/exp(3)**2)+2*ln(x)**2+(-2*x**2*exp(3)-x**2+x-2)*ln(x)+(-x**4+3*x* 
*2)*exp(3)-2*x)*exp((x*ln(x)+x**2)/(ln((ln(x)**2+(2*x**2-6*x)*exp(3)*ln(x) 
+(x**4-6*x**3+9*x**2)*exp(3)**2)/x**2/exp(3)**2)-x))/((ln(x)+(x**2-3*x)*ex 
p(3))*ln((ln(x)**2+(2*x**2-6*x)*exp(3)*ln(x)+(x**4-6*x**3+9*x**2)*exp(3)** 
2)/x**2/exp(3)**2)**2+(-2*x*ln(x)+(-2*x**3+6*x**2)*exp(3))*ln((ln(x)**2+(2 
*x**2-6*x)*exp(3)*ln(x)+(x**4-6*x**3+9*x**2)*exp(3)**2)/x**2/exp(3)**2)+x* 
*2*ln(x)+(x**4-3*x**3)*exp(3)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2405$

Sympy [F(-2)]

Exception generated. $$\int \frac{(16-12x^2+4x^3+e^3(-16x^2-16x^3+28x^4-8x^5)+e^3(-16x-16x^2+28x^3-8x^4)\log (x))\log ({\log }^2(e^{-e^3(2+x+x^2)}(x+\log (x))))+(-4x^2+2x^3+(-4x+2x^2)\log (x))\log (e^{-e^3(2+x+x^2)}(x+\log (x))){\log }^2({\log }^2(e^{-e^3(2+x+x^2)}(x+\log (x))))}{(x^2+x\log (x))\log (e^{-e^3(2+x+x^2)}(x+\log (x)))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((2*x**2-4*x)*ln(x)+2*x**3-4*x**2)*ln((x+ln(x))/exp((x**2+x+2)* 
exp(3)))*ln(ln((x+ln(x))/exp((x**2+x+2)*exp(3)))**2)**2+((-8*x**4+28*x**3- 
16*x**2-16*x)*exp(3)*ln(x)+(-8*x**5+28*x**4-16*x**3-16*x**2)*exp(3)+4*x**3 
-12*x**2+16)*ln(ln((x+ln(x))/exp((x**2+x+2)*exp(3)))**2))/(x*ln(x)+x**2)/l 
n((x+ln(x))/exp((x**2+x+2)*exp(3))),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2423$

Sympy [F(-2)]

Exception generated. $$\int \frac{240x^2+100x^3+e^x(240x+100x^2)+(-120x+50x^2+e^x(-20x-50x^2))\log (x)+(e^x(-120-50x)-120x-50x^2+(e^x(-120-50x)-120x-50x^2)\log (x))\log \left(\frac{144+120x+25x^2}{e^x+x}\right)}{(12x^3+5x^4+e^x(12x^2+5x^3)){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((((-50*x-120)*exp(x)-50*x**2-120*x)*ln(x)+(-50*x-120)*exp(x)-50 
*x**2-120*x)*ln((25*x**2+120*x+144)/(exp(x)+x))+((-50*x**2-20*x)*exp(x)+50 
*x**2-120*x)*ln(x)+(100*x**2+240*x)*exp(x)+100*x**3+240*x**2)/((5*x**3+12* 
x**2)*exp(x)+5*x**4+12*x**3)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2508$

Sympy [F(-2)]

Exception generated. $$\int \frac{-8e^{2x}+e^{e^{e^5}+2x}(10-30x+10x^2)+(-16e^{2x}+e^{e^{e^5}+2x}(70-80x+20x^2))\log \left(\frac{1}{5}(4+e^{e^{e^5}}(-30+25x-5x^2))\right)+(-8e^{2x}+e^{e^{e^5}+2x}(60-50x+10x^2)){\log }^2\left(\frac{1}{5}(4+e^{e^{e^5}}(-30+25x-5x^2))\right)}{-4+e^{e^{e^5}}(30-25x+5x^2)}dx=\text{Exception raised: CoercionFailed}$$ Input:

integrate((((10*x**2-50*x+60)*exp(x)**2*exp(exp(exp(5)))-8*exp(x)**2)*ln(1 
/5*(-5*x**2+25*x-30)*exp(exp(exp(5)))+4/5)**2+((20*x**2-80*x+70)*exp(x)**2 
*exp(exp(exp(5)))-16*exp(x)**2)*ln(1/5*(-5*x**2+25*x-30)*exp(exp(exp(5)))+ 
4/5)+(10*x**2-30*x+10)*exp(x)**2*exp(exp(exp(5)))-8*exp(x)**2)/((5*x**2-25 
*x+30)*exp(exp(exp(5)))-4),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert 5*exp(exp(exp(5))) of t 
ype <class 'sympy.core.mul.Mul'> to ZZ[exp(exp(exp(5))/2),sqrt(16 + 5*exp( 
exp(exp(5))))]
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2531$

Sympy [F(-2)]

Exception generated. $$\int \frac{16{\log }^2\left(x^2\right)+e^{2e^{e^{\frac{x}{\log \left(x^2\right)}}}+4x}((1+4x){\log }^2\left(x^2\right)+e^{e^{\frac{x}{\log \left(x^2\right)}}+\frac{x}{\log \left(x^2\right)}}(-4x+2x\log \left(x^2\right)))+e^{e^{e^{\frac{x}{\log \left(x^2\right)}}}+2x}((8+16x){\log }^2\left(x^2\right)+e^{e^{\frac{x}{\log \left(x^2\right)}}+\frac{x}{\log \left(x^2\right)}}(-16x+8x\log \left(x^2\right)))}{{\log }^2\left(x^2\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((2*x*ln(x**2)-4*x)*exp(x/ln(x**2))*exp(exp(x/ln(x**2)))+(1+4*x 
)*ln(x**2)**2)*exp(exp(exp(x/ln(x**2)))+2*x)**2+((8*x*ln(x**2)-16*x)*exp(x 
/ln(x**2))*exp(exp(x/ln(x**2)))+(16*x+8)*ln(x**2)**2)*exp(exp(exp(x/ln(x** 
2)))+2*x)+16*ln(x**2)**2)/ln(x**2)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2569$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{-15+5x}{(39x-8x^2-4x^3+x^4)\log (x)}}(-585+315x+20x^2-35x^3+5x^4+(-585+240x+140x^2-100x^3+15x^4)\log (x))}{(1521x^2-624x^3-248x^4+142x^5-8x^7+x^8){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((15*x**4-100*x**3+140*x**2+240*x-585)*ln(x)+5*x**4-35*x**3+20*x 
**2+315*x-585)*exp((5*x-15)/(x**4-4*x**3-8*x**2+39*x)/ln(x))/(x**8-8*x**7+ 
142*x**5-248*x**4-624*x**3+1521*x**2)/ln(x)**2,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2570$

Sympy [F(-2)]

Exception generated. $$\int \frac{-6-24x+(-1-6x)\log (2x)+(24x+4\log (x)+(6x+\log (x))\log (2x)+(8+2\log (2x))\log (4+\log (2x)))\log \left(\frac{8}{6x+\log (x)+2\log (4+\log (2x))}\right)}{24x+4\log (x)+(6x+\log (x))\log (2x)+(8+2\log (2x))\log (4+\log (2x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((2*ln(2*x)+8)*ln(ln(2*x)+4)+(ln(x)+6*x)*ln(2*x)+4*ln(x)+24*x)* 
ln(8/(2*ln(ln(2*x)+4)+ln(x)+6*x))+(-6*x-1)*ln(2*x)-24*x-6)/((2*ln(2*x)+8)* 
ln(ln(2*x)+4)+(ln(x)+6*x)*ln(2*x)+4*ln(x)+24*x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2849$

Sympy [F(-2)]

Exception generated. $$\int \frac{1+\log \left(\frac{3}{2x}\right)+{\log }^2\left(\frac{3}{2x}\right)}{x\log \left(\frac{3}{2x}\right)+(28+x+\log (2)){\log }^2\left(\frac{3}{2x}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((ln(3/2/x)**2+ln(3/2/x)+1)/((ln(2)+x+28)*ln(3/2/x)**2+x*ln(3/2/x 
)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**3 + 2*x**2*log(2) + 56*x**2 + x 
*log(2)**2 + 56*x*log(2) + 784*x) contains an element of the set of genera 
tors.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2865$

Sympy [F(-2)]

Exception generated. $$\int \frac{15-21x-36x^2+(12+12x)\log (x)+(2+4x+(2+4x)\log (x))\log (x+x^2)+(-8+16x+24x^2+(-7-7x)\log (x)){\log }^2(x+x^2)+(1-3x-4x^2+(1+x)\log (x)){\log }^4(x+x^2)+(3-15x-18x^2+(12+12x)\log (x)+(-1+11x+12x^2+(-7-7x)\log (x)){\log }^2(x+x^2)+(-2x-2x^2+(1+x)\log (x)){\log }^4(x+x^2))\log \left(\frac{-1+6x-4\log (x)+(-2x+\log (x)){\log }^2(x+x^2)}{-3+{\log }^2(x+x^2)}\right)}{3-15x-18x^2+(12+12x)\log (x)+(-1+11x+12x^2+(-7-7x)\log (x)){\log }^2(x+x^2)+(-2x-2x^2+(1+x)\log (x)){\log }^4(x+x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((ln(x)*(1+x)-2*x**2-2*x)*ln(x**2+x)**4+((-7*x-7)*ln(x)+12*x**2 
+11*x-1)*ln(x**2+x)**2+(12*x+12)*ln(x)-18*x**2-15*x+3)*ln(((ln(x)-2*x)*ln( 
x**2+x)**2-4*ln(x)+6*x-1)/(ln(x**2+x)**2-3))+(ln(x)*(1+x)-4*x**2-3*x+1)*ln 
(x**2+x)**4+((-7*x-7)*ln(x)+24*x**2+16*x-8)*ln(x**2+x)**2+((2+4*x)*ln(x)+4 
*x+2)*ln(x**2+x)+(12*x+12)*ln(x)-36*x**2-21*x+15)/((ln(x)*(1+x)-2*x**2-2*x 
)*ln(x**2+x)**4+((-7*x-7)*ln(x)+12*x**2+11*x-1)*ln(x**2+x)**2+(12*x+12)*ln 
(x)-18*x**2-15*x+3),x)
 

Output:

Exception raised: PolynomialError >> 1/(36*_t0**4*x**4 + 72*_t0**4*x**3 + 
36*_t0**4*x**2 - 288*_t0**3*x**5 - 576*_t0**3*x**4 - 288*_t0**3*x**3 + 864 
*_t0**2*x**6 + 1728*_t0**2*x**5 + 864*_t0**2*x**4 - 1152*_t0*x**7 - 2304*_ 
t0*x**6 - 1152*
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2875$

Sympy [F(-2)]

Exception generated. $$\int \frac{20x+129x^2+50x^3+5x^4+(60+730x+171x^2-20x^3-5x^4)\log (x)+(-60-387x-150x^2-15x^3)\log \left(\frac{4x+25x^2+5x^3}{75+15x}\right)}{(20x+129x^2+50x^3+5x^4){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-15*x**3-150*x**2-387*x-60)*ln((5*x**3+25*x**2+4*x)/(15*x+75)) 
+(-5*x**4-20*x**3+171*x**2+730*x+60)*ln(x)+5*x**4+50*x**3+129*x**2+20*x)/( 
5*x**4+50*x**3+129*x**2+20*x)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2893$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-40x^2+40x^3-10x^4){\log }^2(x)+(2-3x+x^2)\log (x-x^2)+\log (x)(-2+5x-2x^2+(2-2x+x^2)\log (x-x^2))}{(120x^2-120x^3+30x^4){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-10*x**4+40*x**3-40*x**2)*ln(x)**2+((x**2-2*x+2)*ln(-x**2+x)-2 
*x**2+5*x-2)*ln(x)+(x**2-3*x+2)*ln(-x**2+x))/(30*x**4-120*x**3+120*x**2)/l 
n(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2907$

Sympy [F(-2)]

Exception generated. $$\int \frac{-50x^4+(-450+300x-50x^2-150x^4)\log (x)+(450-150x-150x^4){\log }^2(x)+(450-150x-50x^4){\log }^3(x)}{-x^3+25x^5+(-3x^3+75x^5)\log (x)+(225x-150x^2+22x^3+75x^5){\log }^2(x)+(225x-150x^2+24x^3+25x^5){\log }^3(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-50*x**4-150*x+450)*ln(x)**3+(-150*x**4-150*x+450)*ln(x)**2+(- 
150*x**4-50*x**2+300*x-450)*ln(x)-50*x**4)/((25*x**5+24*x**3-150*x**2+225* 
x)*ln(x)**3+(75*x**5+22*x**3-150*x**2+225*x)*ln(x)**2+(75*x**5-3*x**3)*ln( 
x)+25*x**5-x**3),x)
 

Output:

Exception raised: PolynomialError >> 1/(390625*x**18 + 1500000*x**16 - 937 
5000*x**15 + 16222500*x**14 - 27000000*x**13 + 126257400*x**12 - 279045000 
*x**11 + 391055526*x**10 - 831794400*x**9 + 1973451600*x**8 - 2835405000*x 
**7 + 327827250
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2918$

Sympy [F(-2)]

Exception generated. $$\int \frac{2x+e^4{x}^2+x^4+e^2(-1-2x^3)+e^{2-x}(3x+e^4{x}^2+x^4+e^2(-2-2x^3))+(-1-2e^{4}x+4e^2{x}^2-2x^3+e^{2-x}(-1-2e^{4}x+4e^2{x}^2-2x^3))\log (1+e^{2-x})+(e^4-2e^{2}x+x^2+e^{2-x}(e^4-2e^{2}x+x^2)){\log }^2(1+e^{2-x})}{-x^2+e^4{x}^3+x^5+e^2(x-2x^4)+e^{2-x}(-x^2+e^4{x}^3+x^5+e^2(x-2x^4))+(x-2e^4{x}^2-2x^4+e^2(-1+4x^3)+e^{2-x}(x-2e^4{x}^2-2x^4+e^2(-1+4x^3)))\log (1+e^{2-x})+(e^{4}x-2e^2{x}^2+x^3+e^{2-x}(e^{4}x-2e^2{x}^2+x^3)){\log }^2(1+e^{2-x})}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((exp(2)**2-2*exp(2)*x+x**2)*exp(2-x)+exp(2)**2-2*exp(2)*x+x**2 
)*ln(exp(2-x)+1)**2+((-2*x*exp(2)**2+4*x**2*exp(2)-2*x**3-1)*exp(2-x)-2*x* 
exp(2)**2+4*x**2*exp(2)-2*x**3-1)*ln(exp(2-x)+1)+(x**2*exp(2)**2+(-2*x**3- 
2)*exp(2)+x**4+3*x)*exp(2-x)+x**2*exp(2)**2+(-2*x**3-1)*exp(2)+x**4+2*x)/( 
((x*exp(2)**2-2*x**2*exp(2)+x**3)*exp(2-x)+x*exp(2)**2-2*x**2*exp(2)+x**3) 
*ln(exp(2-x)+1)**2+((-2*x**2*exp(2)**2+(4*x**3-1)*exp(2)-2*x**4+x)*exp(2-x 
)-2*x**2*exp(2)**2+(4*x**3-1)*exp(2)-2*x**4+x)*ln(exp(2-x)+1)+(x**3*exp(2) 
**2+(-2*x**4+x)*exp(2)+x**5-x**2)*exp(2-x)+x**3*exp(2)**2+(-2*x**4+x)*exp( 
2)+x**5-x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(_t0*x**4 - 2*_t0*x**3*exp(2) + _t0 
*x**2*exp(4) + x**4 - 2*x**3*exp(2) + x**2*exp(4)) contains an element of 
the set of generators.
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number $361$

Integral number in file $2965$

Sympy [F(-2)]

Exception generated. $$\int \frac{-5\log (3)+(x-12x^6-9x^9){\log }^2(x)}{-5x\log (3)\log (x)+(-x^2+2x^7+x^{10}){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-9*x**9-12*x**6+x)*ln(x)**2-5*ln(3))/((x**10+2*x**7-x**2)*ln(x 
)**2-5*x*ln(3)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**18 + 4*x**15 + 4*x**12 - 2*x**1 
0 - 4*x**7 + x**2) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $23$

Sympy [F(-2)]

Exception generated. $$\int \frac{-2x-x^2+(-2-x-2x^2-2x^3-x^4)\log (x)+(-2x-4x^2-2x^3){\log }^2(x)+(-2x-x^2){\log }^3(x)+(2+3x+x^2)\log (x)\log ((8+8x+2x^2)\log (x))}{(2x^3+x^4)\log (x)+(4x^2+2x^3){\log }^2(x)+(2x+x^2){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((x**2+3*x+2)*ln(x)*ln((2*x**2+8*x+8)*ln(x))+(-x**2-2*x)*ln(x)** 
3+(-2*x**3-4*x**2-2*x)*ln(x)**2+(-x**4-2*x**3-2*x**2-x-2)*ln(x)-x**2-2*x)/ 
((x**2+2*x)*ln(x)**3+(2*x**3+4*x**2)*ln(x)**2+(x**4+2*x**3)*ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $63$

Sympy [F(-2)]

Exception generated. $$\int \frac{108x^3+30x^4+2x^5+(-108x^3-21x^4-x^5)\log (x)+(27x^3+3x^4){\log }^2(x)+((432x^3+105x^4+7x^5)\log (x)+(-432x^3-87x^4-4x^5){\log }^2(x)+(108x^3+15x^4){\log }^3(x))\log (\log (x))}{(36+12x+x^2)\log (x)+(-36-6x){\log }^2(x)+9{\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((15*x**4+108*x**3)*ln(x)**3+(-4*x**5-87*x**4-432*x**3)*ln(x)** 
2+(7*x**5+105*x**4+432*x**3)*ln(x))*ln(ln(x))+(3*x**4+27*x**3)*ln(x)**2+(- 
x**5-21*x**4-108*x**3)*ln(x)+2*x**5+30*x**4+108*x**3)/(9*ln(x)**3+(-6*x-36 
)*ln(x)**2+(x**2+12*x+36)*ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $87$

Sympy [F(-2)]

Exception generated. $$\int \frac{16x^2-112x^3-128x^2\log (x)+(-64x^2+32x^3+(-64x+32x^2)\log (x))\log (x+\log (x))+(-8x+12x^2+(-8+12x)\log (x)){\log }^2(x+\log (x))+(8x^2-88x^3-96x^2\log (x)+(-48x^2+24x^3+(-48x+24x^2)\log (x))\log (x+\log (x))+(-6x+8x^2+(-6+8x)\log (x)){\log }^2(x+\log (x)))\log \left(\frac{-4x^2+(-x+x^2)\log (x+\log (x))}{4x+\log (x+\log (x))}\right)+(-16x^3-16x^2\log (x)+(-8x^2+4x^3+(-8x+4x^2)\log (x))\log (x+\log (x))+(-x+x^2+(-1+x)\log (x)){\log }^2(x+\log (x))){\log }^2\left(\frac{-4x^2+(-x+x^2)\log (x+\log (x))}{4x+\log (x+\log (x))}\right)}{-16x^3-16x^2\log (x)+(-8x^2+4x^3+(-8x+4x^2)\log (x))\log (x+\log (x))+(-x+x^2+(-1+x)\log (x)){\log }^2(x+\log (x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((((-1+x)*ln(x)+x**2-x)*ln(x+ln(x))**2+((4*x**2-8*x)*ln(x)+4*x** 
3-8*x**2)*ln(x+ln(x))-16*x**2*ln(x)-16*x**3)*ln(((x**2-x)*ln(x+ln(x))-4*x* 
*2)/(ln(x+ln(x))+4*x))**2+(((8*x-6)*ln(x)+8*x**2-6*x)*ln(x+ln(x))**2+((24* 
x**2-48*x)*ln(x)+24*x**3-48*x**2)*ln(x+ln(x))-96*x**2*ln(x)-88*x**3+8*x**2 
)*ln(((x**2-x)*ln(x+ln(x))-4*x**2)/(ln(x+ln(x))+4*x))+((12*x-8)*ln(x)+12*x 
**2-8*x)*ln(x+ln(x))**2+((32*x**2-64*x)*ln(x)+32*x**3-64*x**2)*ln(x+ln(x)) 
-128*x**2*ln(x)-112*x**3+16*x**2)/(((-1+x)*ln(x)+x**2-x)*ln(x+ln(x))**2+(( 
4*x**2-8*x)*ln(x)+4*x**3-8*x**2)*ln(x+ln(x))-16*x**2*ln(x)-16*x**3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $89$

Sympy [F(-2)]

Exception generated. $$\int \frac{(4-4e^4+e^8){\log }^2(x)+(-4+2e^4){\log }^2(x)\log \left(4x^2\right)+{\log }^2(x){\log }^2\left(4x^2\right)+e^{\frac{4}{-2+e^4+\log \left(4x^2\right)}}(4-4e^4+e^8+(4+4e^4-e^8)\log (x)+(-4+2e^4+(4-2e^4)\log (x))\log \left(4x^2\right)+(1-\log (x)){\log }^2\left(4x^2\right))}{(4-4e^4+e^8){\log }^2(x)+(-4+2e^4){\log }^2(x)\log \left(4x^2\right)+{\log }^2(x){\log }^2\left(4x^2\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((1-ln(x))*ln(4*x**2)**2+((-2*exp(4)+4)*ln(x)+2*exp(4)-4)*ln(4* 
x**2)+(-exp(4)**2+4*exp(4)+4)*ln(x)+exp(4)**2-4*exp(4)+4)*exp(4/(ln(4*x**2 
)+exp(4)-2))+ln(x)**2*ln(4*x**2)**2+(2*exp(4)-4)*ln(x)**2*ln(4*x**2)+(exp( 
4)**2-4*exp(4)+4)*ln(x)**2)/(ln(x)**2*ln(4*x**2)**2+(2*exp(4)-4)*ln(x)**2* 
ln(4*x**2)+(exp(4)**2-4*exp(4)+4)*ln(x)**2),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $383$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-36x^2+36x\log (x))\log (x-\log (x))+\frac{e^x(-15+15x+(-15x-15x^2+(15+15x)\log (x))\log (x-\log (x)))}{\log (x-\log (x))}}{e^x(15x^2-60x^4+(-15x+60x^3)\log (x))+\frac{e^{2x}(-25x^3+25x^2\log (x))}{\log (x-\log (x))}+(18x^3-36x^5+(-18x^2+36x^4)\log (x))\log (x-\log (x))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((((15*x+15)*ln(x)-15*x**2-15*x)*ln(x-ln(x))+15*x-15)*exp(-ln(ln 
(x-ln(x)))+x)+(36*x*ln(x)-36*x**2)*ln(x-ln(x)))/((25*x**2*ln(x)-25*x**3)*l 
n(x-ln(x))*exp(-ln(ln(x-ln(x)))+x)**2+((60*x**3-15*x)*ln(x)-60*x**4+15*x** 
2)*ln(x-ln(x))*exp(-ln(ln(x-ln(x)))+x)+((36*x**4-18*x**2)*ln(x)-36*x**5+18 
*x**3)*ln(x-ln(x))),x)
 

Output:

Exception raised: PolynomialError >> 1/(-5*_t0*x**2 + 5*x**3) contains an 
element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $431$

Sympy [F(-2)]

Exception generated. $$\int \frac{3x+x^2+(6x+2x^2)\log \left(\frac{3+x}{4}\right)+(3x+x^2){\log }^2\left(\frac{3+x}{4}\right)+{\log }^2(x)(3+x-9x^2+(6+2x-9x^2-3x^3)\log \left(\frac{3+x}{4}\right)+(3+x){\log }^2\left(\frac{3+x}{4}\right))}{\log (x)(-3x^2-x^3+(-6x^2-2x^3)\log \left(\frac{3+x}{4}\right)+(-3x^2-x^3){\log }^2\left(\frac{3+x}{4}\right))+{\log }^2(x)(-3x+2x^2-8x^3-3x^4+(-6x+4x^2-7x^3-3x^4)\log \left(\frac{3+x}{4}\right)+(-3x+2x^2+x^3){\log }^2\left(\frac{3+x}{4}\right))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((3+x)*ln(3/4+1/4*x)**2+(-3*x**3-9*x**2+2*x+6)*ln(3/4+1/4*x)-9* 
x**2+x+3)*ln(x)**2+(x**2+3*x)*ln(3/4+1/4*x)**2+(2*x**2+6*x)*ln(3/4+1/4*x)+ 
x**2+3*x)/(((x**3+2*x**2-3*x)*ln(3/4+1/4*x)**2+(-3*x**4-7*x**3+4*x**2-6*x) 
*ln(3/4+1/4*x)-3*x**4-8*x**3+2*x**2-3*x)*ln(x)**2+((-x**3-3*x**2)*ln(3/4+1 
/4*x)**2+(-2*x**3-6*x**2)*ln(3/4+1/4*x)-x**3-3*x**2)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(_t0**2*x**3 + _t0**2*x**2 - 5*_t0* 
*2*x + 3*_t0**2 - 2*_t0*x**3 - 4*_t0*x**2 + 6*_t0*x + x**3 + 3*x**2) conta 
ins an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $480$

Sympy [F(-2)]

Exception generated. $$\int \frac{9+x+(-27-4x)\log (x)+(-3+5x){\log }^2(x)+(6-2x){\log }^3(x)}{(9x+x^2)\log (x)+(-3x-2x^2){\log }^2(x)+(-6x+x^2){\log }^3(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((6-2*x)*ln(x)**3+(5*x-3)*ln(x)**2+(-4*x-27)*ln(x)+x+9)/((x**2-6 
*x)*ln(x)**3+(-2*x**2-3*x)*ln(x)**2+(x**2+9*x)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**6 - 24*x**5 + 216*x**4 - 864*x* 
*3 + 1296*x**2) contains an element of the set of generators.
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $491$

Sympy [F(-2)]

Exception generated. $$\int \frac{4x^5+(-4x^3-2x^5)\log (4+4x^2+x^4)+(-6-3x^2){\log }^2(4+4x^2+x^4)}{(-2x^4-x^6)\log (4+4x^2+x^4)+(6x-2x^2+3x^3-x^4+(2x^2+x^4)\log (5)){\log }^2(4+4x^2+x^4)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-3*x**2-6)*ln(x**4+4*x**2+4)**2+(-2*x**5-4*x**3)*ln(x**4+4*x** 
2+4)+4*x**5)/(((x**4+2*x**2)*ln(5)-x**4+3*x**3-2*x**2+6*x)*ln(x**4+4*x**2+ 
4)**2+(-x**6-2*x**4)*ln(x**4+4*x**2+4)),x)
 

Output:

Exception raised: PolynomialError >> 1/(-2*x**4*log(5) + x**4 + x**4*log(5 
)**2 - 6*x**3 + 6*x**3*log(5) - 4*x**2*log(5) + 2*x**2*log(5)**2 + 11*x**2 
 - 12*x + 12*x*log(5) + 18) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $538$

Sympy [F(-2)]

Exception generated. $$\int \frac{(4+4x)\log (1+x)+(-4-8x){\log }^2(1+x)+\log (3x)(-4x+(4+8x)\log (1+x))}{(x+x^2)\log (3x)\log (1+x)+(-x-x^2){\log }^2(1+x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((8*x+4)*ln(1+x)-4*x)*ln(3*x)+(-8*x-4)*ln(1+x)**2+(4+4*x)*ln(1+ 
x))/((x**2+x)*ln(1+x)*ln(3*x)+(-x**2-x)*ln(1+x)**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2 + x) contains an element of t 
he set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $565$

Sympy [F(-2)]

Exception generated. $$\int \frac{(12x+18x^2+e^x(12+12x+6x^2)+(6x+6e^{x}x)\log (x))\log (25e^x{x}^2+25x^3+(50e^{x}x+50x^2)\log (x)+(25e^x+25x){\log }^2(x))+(3e^{x}x+3x^2+(3e^x+3x)\log (x)){\log }^2(25e^x{x}^2+25x^3+(50e^{x}x+50x^2)\log (x)+(25e^x+25x){\log }^2(x))}{2e^{x}x+2x^2+(2e^x+2x)\log (x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((3*exp(x)+3*x)*ln(x)+3*exp(x)*x+3*x**2)*ln((25*exp(x)+25*x)*ln 
(x)**2+(50*exp(x)*x+50*x**2)*ln(x)+25*exp(x)*x**2+25*x**3)**2+((6*exp(x)*x 
+6*x)*ln(x)+(6*x**2+12*x+12)*exp(x)+18*x**2+12*x)*ln((25*exp(x)+25*x)*ln(x 
)**2+(50*exp(x)*x+50*x**2)*ln(x)+25*exp(x)*x**2+25*x**3))/((2*exp(x)+2*x)* 
ln(x)+2*exp(x)*x+2*x**2),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $596$

Sympy [F(-2)]

Exception generated. $$\int \frac{-180x^2+60x^3+e^{\frac{1}{4}(3+4x)}(-36x^2+24x^3-3x^4)+e^x(36x^2-24x^3+3x^4)}{25-10e^x+e^{2x}+e^{\frac{1}{2}(3+4x)}+e^{\frac{1}{4}(3+4x)}(10-2e^x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-3*x**4+24*x**3-36*x**2)*exp(3/4+x)+(3*x**4-24*x**3+36*x**2)*e 
xp(x)+60*x**3-180*x**2)/(exp(3/4+x)**2+(-2*exp(x)+10)*exp(3/4+x)+exp(x)**2 
-10*exp(x)+25),x)
 

Output:

Exception raised: PolynomialError >> (-3*_t0*x**4*exp(3/4) + 3*_t0*x**4 - 
24*_t0*x**3 + 24*_t0*x**3*exp(3/4) - 36*_t0*x**2*exp(3/4) + 36*_t0*x**2 + 
60*x**3 - 180*x**2)/(-2*_t0**2*exp(3/4) + _t0**2 + _t0**2*exp(3/2) - 10*_t 
0 + 10*_t0*exp(
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $601$

Sympy [F(-2)]

Exception generated. $$\int \frac{96+e^4(-8-2x)+24x+(96-8e^4)\log (x)-10{\log }^2(x)}{(-96x-24x^2+e^4(8x+2x^2))\log (x)+(10x+3x^2){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((-10*ln(x)**2+(-8*exp(2)**2+96)*ln(x)+(-2*x-8)*exp(2)**2+24*x+96 
)/((3*x**2+10*x)*ln(x)**2+((2*x**2+8*x)*exp(2)**2-24*x**2-96*x)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(9*x**3 + 60*x**2 + 100*x) contains 
 an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $760$

Sympy [F(-2)]

Exception generated. $$\int \frac{200x^2+80x^3+(-50x^3-20x^4)\log (x)+(-400x-160x^2+(100x^2+40x^3)\log (x))\log \left(x^2\right)+(200+80x+(-50x-20x^2)\log (x)){\log }^2\left(x^2\right)+{\left(\frac{4-x\log (x)}{x}\right)}^{\frac{x}{-2x+2\log \left(x^2\right)}}(-100x-85x^2-5x^3+10x^3\log (x)+(100+125x+5x^2-20x^2\log (x))\log \left(x^2\right)+(-40+10x\log (x)){\log }^2\left(x^2\right)+(200+40x+(-50x-10x^2)\log (x)+(-100-20x+(25x+5x^2)\log (x))\log \left(x^2\right))\log \left(\frac{4-x\log (x)}{x}\right))}{-8x^2+2x^3\log (x)+(16x-4x^2\log (x))\log \left(x^2\right)+(-8+2x\log (x)){\log }^2\left(x^2\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((((5*x**2+25*x)*ln(x)-20*x-100)*ln(x**2)+(-10*x**2-50*x)*ln(x) 
+40*x+200)*ln((-x*ln(x)+4)/x)+(10*x*ln(x)-40)*ln(x**2)**2+(-20*x**2*ln(x)+ 
5*x**2+125*x+100)*ln(x**2)+10*x**3*ln(x)-5*x**3-85*x**2-100*x)*exp(x*ln((- 
x*ln(x)+4)/x)/(2*ln(x**2)-2*x))+((-20*x**2-50*x)*ln(x)+80*x+200)*ln(x**2)* 
*2+((40*x**3+100*x**2)*ln(x)-160*x**2-400*x)*ln(x**2)+(-20*x**4-50*x**3)*l 
n(x)+80*x**3+200*x**2)/((2*x*ln(x)-8)*ln(x**2)**2+(-4*x**2*ln(x)+16*x)*ln( 
x**2)+2*x**3*ln(x)-8*x**2),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $909$

Sympy [F(-2)]

Exception generated. $$\int \frac{(1+e^5-2x){\log }^2(1+e^5-2x)+e^{\frac{x}{\log (1+e^5-2x)}}(-2x^2\log \left(\frac{3x}{2}\right)+(-x-e^{5}x+2x^2)\log (1+e^5-2x)\log \left(\frac{3x}{2}\right))}{(x+e^{5}x-2x^2){\log }^2(1+e^5-2x)\log \left(\frac{3x}{2}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-x*exp(5)+2*x**2-x)*ln(3/2*x)*ln(exp(5)+1-2*x)-2*x**2*ln(3/2* 
x))*exp(x/ln(exp(5)+1-2*x))+(exp(5)+1-2*x)*ln(exp(5)+1-2*x)**2)/(x*exp(5)- 
2*x**2+x)/ln(3/2*x)/ln(exp(5)+1-2*x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $922$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-2-e^{\frac{-x+(4-\log (3))\log \left(x^3\right)}{\log \left(x^3\right)}}-x}(e^{\frac{-x+(4-\log (3))\log \left(x^3\right)}{\log \left(x^3\right)}}(-3+\log \left(x^3\right))-{\log }^2\left(x^3\right))}{{\log }^2\left(x^3\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((ln(x**3)-3)*exp(((-ln(3)+4)*ln(x**3)-x)/ln(x**3))-ln(x**3)**2) 
*exp(-exp(((-ln(3)+4)*ln(x**3)-x)/ln(x**3))-x-2)/ln(x**3)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $939$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{4x^2+x^2\log (169)}{20\log (50-x)}}(-4x^2-x^2\log (169)+(-400x+8x^2+(-100x+2x^2)\log (169))\log (50-x))}{(-1000+20x){\log }^2(50-x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2*(2*x**2-100*x)*ln(13)+8*x**2-400*x)*ln(-x+50)-2*x**2*ln(13)- 
4*x**2)*exp(1/20*(2*x**2*ln(13)+4*x**2)/ln(-x+50))/(20*x-1000)/ln(-x+50)** 
2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1051$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{15}(12+5e^{\frac{2-16x+4x^2+4x\log (25+10x+x^2)}{-4x+x^2+x\log (25+10x+x^2)}}x)+\frac{2-16x+4x^2+4x\log (25+10x+x^2)}{-4x+x^2+x\log (25+10x+x^2)}}(40+64x-28x^2-3x^3+x^4+(-10-42x+2x^2+2x^3)\log (25+10x+x^2)+(5x+x^2){\log }^2(25+10x+x^2))}{240x-72x^2-9x^3+3x^4+(-120x+6x^2+6x^3)\log (25+10x+x^2)+(15x+3x^2){\log }^2(25+10x+x^2)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((x**2+5*x)*ln(x**2+10*x+25)**2+(2*x**3+2*x**2-42*x-10)*ln(x**2+ 
10*x+25)+x**4-3*x**3-28*x**2+64*x+40)*exp((4*x*ln(x**2+10*x+25)+4*x**2-16* 
x+2)/(x*ln(x**2+10*x+25)+x**2-4*x))*exp(1/3*x*exp((4*x*ln(x**2+10*x+25)+4* 
x**2-16*x+2)/(x*ln(x**2+10*x+25)+x**2-4*x))+4/5)/((3*x**2+15*x)*ln(x**2+10 
*x+25)**2+(6*x**3+6*x**2-120*x)*ln(x**2+10*x+25)+3*x**4-9*x**3-72*x**2+240 
*x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1056$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-2e^{x}x+2x^2){\log }^2(x)+((e^x(-10-2x)+10x+2x^2){\log }^2(x)+(10x+12x^2+2x^3+e^{2x}(10x+2x^2)+e^x(-10x-12x^2-2x^3)){\log }^3(x))\log (5+x)+(2x\log (x)+((10-8x-2x^2+e^x(10+2x))\log (x)+(10x+2x^2+e^x(-10x-2x^2)){\log }^2(x))\log (5+x))\log (x\log (5+x))+(-10-2x)\log (5+x){\log }^2(x\log (5+x))}{(5x+x^2){\log }^3(x)\log (5+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-2*x-10)*ln(5+x)*ln(x*ln(5+x))**2+((((-2*x**2-10*x)*exp(x)+2*x 
**2+10*x)*ln(x)**2+((2*x+10)*exp(x)-2*x**2-8*x+10)*ln(x))*ln(5+x)+2*x*ln(x 
))*ln(x*ln(5+x))+(((2*x**2+10*x)*exp(x)**2+(-2*x**3-12*x**2-10*x)*exp(x)+2 
*x**3+12*x**2+10*x)*ln(x)**3+((-2*x-10)*exp(x)+2*x**2+10*x)*ln(x)**2)*ln(5 
+x)+(-2*exp(x)*x+2*x**2)*ln(x)**2)/(x**2+5*x)/ln(x)**3/ln(5+x),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1088$

Sympy [F(-2)]

Exception generated. $$\int \frac{30x^2-10x^4+(30-10x^2+9x^5-6x^7+x^9-60x^6\log (3))\log (x)+(18x^3-12x^5+2x^7-120x^4\log (3)){\log }^2(x)+(9x-6x^3+x^5-60x^2\log (3)){\log }^3(x)+((-30-50x^2+40x^4)\log (x)+20x^2{\log }^2(x))\log (\log (x))}{(9x^5-6x^7+x^9)\log (x)+(18x^3-12x^5+2x^7){\log }^2(x)+(9x-6x^3+x^5){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((20*x**2*ln(x)**2+(40*x**4-50*x**2-30)*ln(x))*ln(ln(x))+(-60*x* 
*2*ln(3)+x**5-6*x**3+9*x)*ln(x)**3+(-120*x**4*ln(3)+2*x**7-12*x**5+18*x**3 
)*ln(x)**2+(-60*x**6*ln(3)+x**9-6*x**7+9*x**5-10*x**2+30)*ln(x)-10*x**4+30 
*x**2)/((x**5-6*x**3+9*x)*ln(x)**3+(2*x**7-12*x**5+18*x**3)*ln(x)**2+(x**9 
-6*x**7+9*x**5)*ln(x)),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1109$

Sympy [F(-2)]

Exception generated. $$\int \frac{-11x+e^{\sqrt[4]{e}}(11x+12x^2)+(2x+e^{\sqrt[4]{e}}(-2x-2x^2))\log (x+e^{\sqrt[4]{e}}(-x-x^2))}{-25-5x^2+e^{\sqrt[4]{e}}(25+25x+5x^2+5x^3)+(10+x^2+e^{\sqrt[4]{e}}(-10-10x-x^2-x^3))\log (x+e^{\sqrt[4]{e}}(-x-x^2))+(-1+e^{\sqrt[4]{e}}(1+x)){\log }^2(x+e^{\sqrt[4]{e}}(-x-x^2))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((-2*x**2-2*x)*exp(exp(1/4))+2*x)*ln((-x**2-x)*exp(exp(1/4))+x) 
+(12*x**2+11*x)*exp(exp(1/4))-11*x)/(((1+x)*exp(exp(1/4))-1)*ln((-x**2-x)* 
exp(exp(1/4))+x)**2+((-x**3-x**2-10*x-10)*exp(exp(1/4))+x**2+10)*ln((-x**2 
-x)*exp(exp(1/4))+x)+(5*x**3+5*x**2+25*x+25)*exp(exp(1/4))-5*x**2-25),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2*exp(exp(1/4)) - x + x*exp(exp 
(1/4))) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1133$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{-15+3x}{x+\log (x)}}(15x^3+12x^4+3x^5+e^x(-15-12x-x^3)+(-15x^2-12x^3-2x^4)\log (15)+(9x^4+e^x(-3x-2x^2)-7x^3\log (15))\log (x)+(-e^{x}x+3x^3-2x^2\log (15)){\log }^2(x))}{2x^3+4x^2\log (x)+2x{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-exp(x)*x-2*x**2*ln(15)+3*x**3)*ln(x)**2+((-2*x**2-3*x)*exp(x) 
-7*x**3*ln(15)+9*x**4)*ln(x)+(-x**3-12*x-15)*exp(x)+(-2*x**4-12*x**3-15*x* 
*2)*ln(15)+3*x**5+12*x**4+15*x**3)*exp((3*x-15)/(x+ln(x)))/(2*x*ln(x)**2+4 
*x**2*ln(x)+2*x**3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1134$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-\frac{180x^3}{(-1+x)\log (x)}}(-180x^2+180x^3+(540x^2-360x^3)\log (x))}{(1-2x+x^2){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-360*x**3+540*x**2)*ln(x)+180*x**3-180*x**2)*exp(-180*x**3/(-1 
+x)/ln(x))/(x**2-2*x+1)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1177$

Sympy [F(-2)]

Exception generated. $$\int \frac{200x+300x^2+80x^3+120x^4+8x^5+12x^6+e^{\frac{10}{5+x^2}}(-50x-20x^3-2x^5)+e^{\frac{5}{5+x^2}}(150x-75x^2+10x^3-40x^4+6x^5-3x^6)+e^x(-200x-100x^2-80x^3-40x^4-8x^5-4x^6+e^{\frac{5}{5+x^2}}(50x+25x^2+30x^3+10x^4+2x^5+x^6))}{800+420x^2+100x^3+72x^4+40x^5+4x^6+4x^7+e^{\frac{10}{5+x^2}}(50-5x^2-8x^4-x^6)+e^{\frac{5}{5+x^2}}(-400-85x^2-25x^3+14x^4-10x^5+3x^6-x^7)+e^x(-100x^2-40x^4-4x^6+e^{\frac{5}{5+x^2}}(25x^2+10x^4+x^6))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((x**6+2*x**5+10*x**4+30*x**3+25*x**2+50*x)*exp(5/(x**2+5))-4*x 
**6-8*x**5-40*x**4-80*x**3-100*x**2-200*x)*exp(x)+(-2*x**5-20*x**3-50*x)*e 
xp(5/(x**2+5))**2+(-3*x**6+6*x**5-40*x**4+10*x**3-75*x**2+150*x)*exp(5/(x* 
*2+5))+12*x**6+8*x**5+120*x**4+80*x**3+300*x**2+200*x)/(((x**6+10*x**4+25* 
x**2)*exp(5/(x**2+5))-4*x**6-40*x**4-100*x**2)*exp(x)+(-x**6-8*x**4-5*x**2 
+50)*exp(5/(x**2+5))**2+(-x**7+3*x**6-10*x**5+14*x**4-25*x**3-85*x**2-400) 
*exp(5/(x**2+5))+4*x**7+4*x**6+40*x**5+72*x**4+100*x**3+420*x**2+800),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**8 + 6*x**6 - 11*x**4 - 60*x**2 
+ 100) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1191$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-128x^3+256x^4+(128x^2-256x^3)\log (2)+(-128x^2+256x^3+(128x-256x^2)\log (2))\log (x))\log (-12-x+x^2)+(768x+64x^2-64x^3+(-768-832x+64x^3)\log (2)+(-768x-64x^2+64x^3)\log (x)){\log }^2(-12-x+x^2)}{-12x^3-x^4+x^5+(-24x^2-2x^3+2x^4)\log (x)+(-12x-x^2+x^3){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((64*x**3-64*x**2-768*x)*ln(x)+(64*x**3-832*x-768)*ln(2)-64*x** 
3+64*x**2+768*x)*ln(x**2-x-12)**2+(((-256*x**2+128*x)*ln(2)+256*x**3-128*x 
**2)*ln(x)+(-256*x**3+128*x**2)*ln(2)+256*x**4-128*x**3)*ln(x**2-x-12))/(( 
x**3-x**2-12*x)*ln(x)**2+(2*x**4-2*x**3-24*x**2)*ln(x)+x**5-x**4-12*x**3), 
x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1204$

Sympy [F(-2)]

Exception generated. $$\int \frac{10x-20x\log (x)+(45+110x+27x^2){\log }^2(x)}{-10x^2\log (x)+(45x+55x^2+9x^3){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((27*x**2+110*x+45)*ln(x)**2-20*x*ln(x)+10*x)/((9*x**3+55*x**2+4 
5*x)*ln(x)**2-10*x**2*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(81*x**5 + 990*x**4 + 3835*x**3 + 4 
950*x**2 + 2025*x) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1252$

Sympy [F(-2)]

Exception generated. $$\int \frac{-28+16x+60000x^4-10000x^5+(24-12x-30000x^4+5000x^5)\log (x)+(-4+2x+3750x^4-625x^5){\log }^2(x)}{-16x+10000x^5+(12x-5000x^5)\log (x)+(-2x+625x^5){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-625*x**5+3750*x**4+2*x-4)*ln(x)**2+(5000*x**5-30000*x**4-12*x 
+24)*ln(x)-10000*x**5+60000*x**4+16*x-28)/((625*x**5-2*x)*ln(x)**2+(-5000* 
x**5+12*x)*ln(x)+10000*x**5-16*x),x)
 

Output:

Exception raised: PolynomialError >> 1/(390625*x**9 - 2500*x**5 + 4*x) con 
tains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1295$

Sympy [F(-2)]

Exception generated. $$\int \frac{-24x+4e^{2x}x+12x^2+e^x(-12-8x+8x^2)}{3x^2+e^{2x}(1+x)+e^x(3+3x+x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((4*x*exp(x)**2+(8*x**2-8*x-12)*exp(x)+12*x**2-24*x)/((1+x)*exp(x 
)**2+(x**2+3*x+3)*exp(x)+3*x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2 + 2*x + 1) contains an elemen 
t of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1316$

Sympy [F(-2)]

Exception generated. $$\int \frac{-5x-x^2-6x^3+10x^4-4x^5+(-10+2x)\log (2x)+(-2x-12x^2+20x^3-8x^4){\log }^2(2x)+(-6x+10x^2-4x^3){\log }^4(2x)+(-x^2-3x^3-x^5+(-x-6x^2-2x^4){\log }^2(2x)+(-3x-x^3){\log }^4(2x))\log \left(\frac{1+3x+x^3+(3+x^2){\log }^2(2x)}{x+{\log }^2(2x)}\right)}{x^2+3x^3+x^5+(x+6x^2+2x^4){\log }^2(2x)+(3x+x^3){\log }^4(2x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((-x**3-3*x)*ln(2*x)**4+(-2*x**4-6*x**2-x)*ln(2*x)**2-x**5-3*x* 
*3-x**2)*ln(((x**2+3)*ln(2*x)**2+x**3+3*x+1)/(ln(2*x)**2+x))+(-4*x**3+10*x 
**2-6*x)*ln(2*x)**4+(-8*x**4+20*x**3-12*x**2-2*x)*ln(2*x)**2+(2*x-10)*ln(2 
*x)-4*x**5+10*x**4-6*x**3-x**2-5*x)/((x**3+3*x)*ln(2*x)**4+(2*x**4+6*x**2+ 
x)*ln(2*x)**2+x**5+3*x**3+x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**10 + 12*x**8 + 54*x**6 + 108*x* 
*4 + 81*x**2) contains an element of the set of generators.
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1389$

Sympy [F(-2)]

Exception generated. $$\int \frac{15+27x+12x^2-3x^3-3x^4+(27x+24x^2-9x^3-12x^4)\log (x)+(25x+40x^2+16x^3-10x^4-8x^5+x^7){\log }^2(x)}{(-15x-27x^2-12x^3+3x^4+3x^5)\log (x)+(475x+1735x^2+2364x^3+1234x^4-222x^5-512x^6-141x^7+39x^8+20x^9){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((x**7-8*x**5-10*x**4+16*x**3+40*x**2+25*x)*ln(x)**2+(-12*x**4-9 
*x**3+24*x**2+27*x)*ln(x)-3*x**4-3*x**3+12*x**2+27*x+15)/((20*x**9+39*x**8 
-141*x**7-512*x**6-222*x**5+1234*x**4+2364*x**3+1735*x**2+475*x)*ln(x)**2+ 
(3*x**5+3*x**4-12*x**3-27*x**2-15*x)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(400*x**9 + 760*x**8 - 2839*x**7 - 
10080*x**6 - 4088*x**5 + 24550*x**4 + 46176*x**3 + 33440*x**2 + 9025*x) co 
ntains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1411$

Sympy [F(-2)]

Exception generated. $$\int \frac{12x+16x^2+(-14x-8x^2)\log (x)+(3x+10x^2+8x^3){\log }^3(x)+(12+16x)\log (3+4x)}{(3x+4x^2){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((16*x+12)*ln(3+4*x)+(8*x**3+10*x**2+3*x)*ln(x)**3+(-8*x**2-14*x 
)*ln(x)+16*x**2+12*x)/(4*x**2+3*x)/ln(x)**3,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1469$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-x^3-x^4)\log (x)+(5x^2+6x^3+x^4+(5x^2+6x^3+x^4)\log (x))\log (5+x)+(-500-600x-100x^2){\log }^2(5+x)+((5x^2+11x^3+2x^4)\log (x)\log (5+x)+(500+1225x+475x^2+50x^3){\log }^2(5+x))\log \left(\frac{x^2\log (x)+(100+25x)\log (5+x)}{25x\log (5+x)}\right)}{(5x^2+x^3)\log (x)\log (5+x)+(500+225x+25x^2){\log }^2(5+x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((50*x**3+475*x**2+1225*x+500)*ln(5+x)**2+(2*x**4+11*x**3+5*x** 
2)*ln(x)*ln(5+x))*ln(1/25*((25*x+100)*ln(5+x)+x**2*ln(x))/x/ln(5+x))+(-100 
*x**2-600*x-500)*ln(5+x)**2+((x**4+6*x**3+5*x**2)*ln(x)+x**4+6*x**3+5*x**2 
)*ln(5+x)+(-x**4-x**3)*ln(x))/((25*x**2+225*x+500)*ln(5+x)**2+(x**3+5*x**2 
)*ln(x)*ln(5+x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(75*x**3 + 975*x**2 + 4200*x + 6000 
) contains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1480$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{e^{\frac{1}{x^2{\log }^2(2+\log (4))}}}(-2e^{x+\frac{1}{x^2{\log }^2(2+\log (4))}}+e^x(x^2+x^3){\log }^2(2+\log (4)))}{8x^2{\log }^2(2+\log (4))}dx=\text{Exception raised: GeneratorsError}$$ Input:

integrate(1/8*(-2*exp(x)*exp(1/x**2/ln(2+2*ln(2))**2)+(x**3+x**2)*exp(x)*l 
n(2+2*ln(2))**2)*exp(exp(1/x**2/ln(2+2*ln(2))**2))/x**2/ln(2+2*ln(2))**2,x 
)
 

Output:

Exception raised: GeneratorsError >> polynomial ring and it's ground domai 
n share generators
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1529$

Sympy [F(-2)]

Exception generated. $$\int \frac{2+2x+2\log (16)-2x\log (x)+(26x+2x^2){\log }^2(x)}{(-2x-2x^2-2x\log (16))\log (x)+(x+26x^2+x^3+x\log (16)){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((2*x**2+26*x)*ln(x)**2-2*x*ln(x)+8*ln(2)+2*x+2)/((4*x*ln(2)+x** 
3+26*x**2+x)*ln(x)**2+(-8*x*ln(2)-2*x**2-2*x)*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**5 + 52*x**4 + 8*x**3*log(2) + 6 
78*x**3 + 52*x**2 + 208*x**2*log(2) + x + 8*x*log(2) + 16*x*log(2)**2) con 
tains an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1541$

Sympy [F(-2)]

Exception generated. $$\int \frac{81x^2+18x^4+x^6+(162x+18x^3)\log (2)+81{\log }^2(2)+(-81x^2-18x^3-18x^4-2x^5-x^6+(-162x-18x^2-18x^3)\log (2)-81{\log }^2(2))\log (x)+(18x^3+x^4+2x^5+18x^2\log (2)){\log }^2(x)-x^4{\log }^3(x)+e^{-\frac{3}{-9x-x^3-9\log (2)+x^2\log (x)}}(27x+78x^2+9x^3+18x^4+x^6+(162x+18x^3)\log (2)+81{\log }^2(2)+(-6x^2-18x^3-2x^5-18x^2\log (2))\log (x)+x^4{\log }^2(x))}{81x^4+18x^6+x^8+(162x^3+18x^5)\log (2)+81x^2{\log }^2(2)+(-18x^5-2x^7-18x^4\log (2))\log (x)+x^6{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((x**4*ln(x)**2+(-18*x**2*ln(2)-2*x**5-18*x**3-6*x**2)*ln(x)+81* 
ln(2)**2+(18*x**3+162*x)*ln(2)+x**6+18*x**4+9*x**3+78*x**2+27*x)*exp(-3/(x 
**2*ln(x)-9*ln(2)-x**3-9*x))-x**4*ln(x)**3+(18*x**2*ln(2)+2*x**5+x**4+18*x 
**3)*ln(x)**2+(-81*ln(2)**2+(-18*x**3-18*x**2-162*x)*ln(2)-x**6-2*x**5-18* 
x**4-18*x**3-81*x**2)*ln(x)+81*ln(2)**2+(18*x**3+162*x)*ln(2)+x**6+18*x**4 
+81*x**2)/(x**6*ln(x)**2+(-18*x**4*ln(2)-2*x**7-18*x**5)*ln(x)+81*x**2*ln( 
2)**2+(18*x**5+162*x**3)*ln(2)+x**8+18*x**6+81*x**4),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1629$

Sympy [F(-2)]

Exception generated. $$\int \frac{5-25x-108x^2-180x^3+36x^2\log (x)+(15-11x-60x^2+(-5+12x)\log (x))\log (3+5x-\log (x))+(-3-5x+\log (x)){\log }^2(3+5x-\log (x))}{360x^2+168x^3-720x^4+(-120x^2+144x^3)\log (x)+(60x-44x^2-240x^3+(-20x+48x^2)\log (x))\log (3+5x-\log (x))+(-12x-20x^2+4x\log (x)){\log }^2(3+5x-\log (x))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((ln(x)-5*x-3)*ln(-ln(x)+5*x+3)**2+((12*x-5)*ln(x)-60*x**2-11*x+ 
15)*ln(-ln(x)+5*x+3)+36*x**2*ln(x)-180*x**3-108*x**2-25*x+5)/((4*x*ln(x)-2 
0*x**2-12*x)*ln(-ln(x)+5*x+3)**2+((48*x**2-20*x)*ln(x)-240*x**3-44*x**2+60 
*x)*ln(-ln(x)+5*x+3)+(144*x**3-120*x**2)*ln(x)-720*x**4+168*x**3+360*x**2) 
,x)
 

Output:

Exception raised: PolynomialError >> 1/(-_t0*x + 5*x**2 + 3*x) contains an 
 element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1738$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{2x}(15x^2+20x^3-4x^4)+e^{2x}(24x+19x^2-2x^3)\log (4-x)+e^{2x}(2x+2x^2){\log }^2(4-x)}{-2x^2+e^{2x}(12x^3-2x^4)+(-4x+e^{2x}(12x^2-x^3))\log (4-x)+(-2+e^{2x}{x}^2){\log }^2(4-x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((2*x**2+2*x)*exp(x)**2*ln(-x+4)**2+(-2*x**3+19*x**2+24*x)*exp(x 
)**2*ln(-x+4)+(-4*x**4+20*x**3+15*x**2)*exp(x)**2)/((exp(x)**2*x**2-2)*ln( 
-x+4)**2+((-x**3+12*x**2)*exp(x)**2-4*x)*ln(-x+4)+(-2*x**4+12*x**3)*exp(x) 
**2-2*x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x - 4) contains an element of the 
set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1777$

Sympy [F(-2)]

Exception generated. $$\int \frac{-e^{5x}{x}^5+e^{10x}(-3x^4+x^5-x^6)+(e^{10x}(15x^4-4x^5+3x^6)+e^{5x}(4x^5+5x^6))\log (x)}{(e^{5x}{x}^6+e^{10x}(3x^5-x^6+x^7))\log (x)+(2x^2+e^{5x}(12x-4x^2+4x^3)+e^{10x}(18-12x+14x^2-4x^3+2x^4)){\log }^2(x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((3*x**6-4*x**5+15*x**4)*exp(5*x)**2+(5*x**6+4*x**5)*exp(5*x))* 
ln(x)+(-x**6+x**5-3*x**4)*exp(5*x)**2-x**5*exp(5*x))/(((2*x**4-4*x**3+14*x 
**2-12*x+18)*exp(5*x)**2+(4*x**3-4*x**2+12*x)*exp(5*x)+2*x**2)*ln(x)**2+(( 
x**7-x**6+3*x**5)*exp(5*x)**2+x**6*exp(5*x))*ln(x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(4*_t0**2*x**8 - 16*_t0**2*x**7 + 7 
2*_t0**2*x**6 - 160*_t0**2*x**5 + 364*_t0**2*x**4 - 480*_t0**2*x**3 + 648* 
_t0**2*x**2 - 432*_t0**2*x + 324*_t0**2 + 4*_t0*x**11 - 12*_t0*x**10 + 48* 
_t0*x**9 - 76*_
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1845$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{4x}(-256+64x)+(16-5x)\log (2)+(-256+64x){\log }^2(2)+e^{2x}(-16+37x-8x^2+(512-128x)\log (2))+(e^{4x}(-128+32x)+(4-x)\log (2)+(-128+32x){\log }^2(2)+e^{2x}(-4+9x-2x^2+(256-64x)\log (2)))\log (-\frac{4}{-4+x})+(e^{4x}(-16+4x)+e^{2x}(32-8x)\log (2)+(-16+4x){\log }^2(2)){\log }^2(-\frac{4}{-4+x})}{e^{4x}(-256-192x+64x^2)+(16x-4x^2)\log (2)+(-256-192x+64x^2){\log }^2(2)+e^{2x}(-16x+4x^2+(512+384x-128x^2)\log (2))+(e^{4x}(-128-96x+32x^2)+(4x-x^2)\log (2)+(-128-96x+32x^2){\log }^2(2)+e^{2x}(-4x+x^2+(256+192x-64x^2)\log (2)))\log (-\frac{4}{-4+x})+(e^{4x}(-16-12x+4x^2)+e^{2x}(32+24x-8x^2)\log (2)+(-16-12x+4x^2){\log }^2(2)){\log }^2(-\frac{4}{-4+x})}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((4*x-16)*exp(x)**4+(-8*x+32)*ln(2)*exp(x)**2+(4*x-16)*ln(2)**2 
)*ln(-4/(-4+x))**2+((32*x-128)*exp(x)**4+((-64*x+256)*ln(2)-2*x**2+9*x-4)* 
exp(x)**2+(32*x-128)*ln(2)**2+(-x+4)*ln(2))*ln(-4/(-4+x))+(64*x-256)*exp(x 
)**4+((-128*x+512)*ln(2)-8*x**2+37*x-16)*exp(x)**2+(64*x-256)*ln(2)**2+(-5 
*x+16)*ln(2))/(((4*x**2-12*x-16)*exp(x)**4+(-8*x**2+24*x+32)*ln(2)*exp(x)* 
*2+(4*x**2-12*x-16)*ln(2)**2)*ln(-4/(-4+x))**2+((32*x**2-96*x-128)*exp(x)* 
*4+((-64*x**2+192*x+256)*ln(2)+x**2-4*x)*exp(x)**2+(32*x**2-96*x-128)*ln(2 
)**2+(-x**2+4*x)*ln(2))*ln(-4/(-4+x))+(64*x**2-192*x-256)*exp(x)**4+((-128 
*x**2+384*x+512)*ln(2)+4*x**2-16*x)*exp(x)**2+(64*x**2-192*x-256)*ln(2)**2 
+(-4*x**2+16*x)*ln(2)),x)
 

Output:

Exception raised: PolynomialError >> 1/(4*_t0**2*x**3 - 8*_t0**2*x**2 - 28 
*_t0**2*x - 16*_t0**2 + 32*_t0*x**3 - 64*_t0*x**2 - 224*_t0*x - 128*_t0 + 
64*x**3 - 128*x**2 - 448*x - 256) contains an element of the set of genera 
tors.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1911$

Sympy [F(-2)]

Exception generated. $$\int \frac{(6x^2+2x^3)\log (1-x)+(3+x-4x^2){\log }^2(1-x)+((6x+2x^2)\log (1-x)+(-x+x^2){\log }^2(1-x))\log (x)}{-x^3+x^4+(-2x^2+2x^3)\log (x)+(-x+x^2){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((x**2-x)*ln(1-x)**2+(2*x**2+6*x)*ln(1-x))*ln(x)+(-4*x**2+x+3)* 
ln(1-x)**2+(2*x**3+6*x**2)*ln(1-x))/((x**2-x)*ln(x)**2+(2*x**3-2*x**2)*ln( 
x)+x**4-x**3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $1944$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{x}x\log (x)+e^x{x}^2{\log }^2(x)+e^{e^{3e^{-x}}}(-3e^{3e^{-x}}x\log (x)+e^{x}x{\log }^2(x))+(-e^{e^{3e^{-x}}+x}-e^{x}x)\log (e^{e^{3e^{-x}}}+x)}{e^{e^{3e^{-x}}+x}x{\log }^2(x)+e^x{x}^2{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-exp(x)*exp(exp(3/exp(x)))-exp(x)*x)*ln(exp(exp(3/exp(x)))+x)+ 
(-3*x*ln(x)*exp(3/exp(x))+x*exp(x)*ln(x)**2)*exp(exp(3/exp(x)))+x**2*exp(x 
)*ln(x)**2+x*exp(x)*ln(x))/(x*exp(x)*ln(x)**2*exp(exp(3/exp(x)))+x**2*exp( 
x)*ln(x)**2),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2357$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-8x+8x^2+(3x-4x^2+x^3)\log (x))\log (\frac{1}{3}(8+(-3+x)\log (x)))+(-6+8x-2x^2+(2x-2x^2)\log (x))\log (\log (\frac{1}{3}(8+(-3+x)\log (x))))+(-8x+(3x-x^2)\log (x))\log (\frac{1}{3}(8+(-3+x)\log (x))){\log }^2(\log (\frac{1}{3}(8+(-3+x)\log (x))))+(-6+2x+2x\log (x)){\log }^3(\log (\frac{1}{3}(8+(-3+x)\log (x))))}{(16x+(-6x+2x^2)\log (x))\log (\frac{1}{3}(8+(-3+x)\log (x)))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2*x*ln(x)+2*x-6)*ln(ln(1/3*ln(x)*(-3+x)+8/3))**3+((-x**2+3*x)* 
ln(x)-8*x)*ln(1/3*ln(x)*(-3+x)+8/3)*ln(ln(1/3*ln(x)*(-3+x)+8/3))**2+((-2*x 
**2+2*x)*ln(x)-2*x**2+8*x-6)*ln(ln(1/3*ln(x)*(-3+x)+8/3))+((x**3-4*x**2+3* 
x)*ln(x)+8*x**2-8*x)*ln(1/3*ln(x)*(-3+x)+8/3))/((2*x**2-6*x)*ln(x)+16*x)/l 
n(1/3*ln(x)*(-3+x)+8/3),x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2388$

Sympy [F(-2)]

Exception generated. $$\int \frac{-2x^3+x^5+(2x^3-x^5)\log \left(\frac{x}{3}\right)+(320-240x-160x^2+62x^3-20x^4+29x^5+10x^6){\log }^2\left(\frac{x}{3}\right)+(-2x^5\log \left(\frac{x}{3}\right)+(160x^2-240x^3+10x^4+58x^5+10x^6){\log }^2\left(\frac{x}{3}\right))\log \left(\frac{x^3+(-80+120x-5x^2-29x^3-5x^4)\log \left(\frac{x}{3}\right)}{x^2\log \left(\frac{x}{3}\right)}\right)}{-x^4\log \left(\frac{x}{3}\right)+(80x-120x^2+5x^3+29x^4+5x^5){\log }^2\left(\frac{x}{3}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((10*x**6+58*x**5+10*x**4-240*x**3+160*x**2)*ln(1/3*x)**2-2*x** 
5*ln(1/3*x))*ln(((-5*x**4-29*x**3-5*x**2+120*x-80)*ln(1/3*x)+x**3)/x**2/ln 
(1/3*x))+(10*x**6+29*x**5-20*x**4+62*x**3-160*x**2-240*x+320)*ln(1/3*x)**2 
+(-x**5+2*x**3)*ln(1/3*x)+x**5-2*x**3)/((5*x**5+29*x**4+5*x**3-120*x**2+80 
*x)*ln(1/3*x)**2-x**4*ln(1/3*x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(25*x**9 + 290*x**8 + 891*x**7 - 91 
0*x**6 - 6135*x**5 + 3440*x**4 + 15200*x**3 - 19200*x**2 + 6400*x) contain 
s an element of the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2392$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-\frac{1250}{x\log (2x)}}(-2500-2500\log (2x))+e^{-\frac{2500}{x\log (2x)}}(2500+2500\log (2x))}{x^2{\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2500*ln(2*x)+2500)*exp(-1250/x/ln(2*x))**2+(-2500*ln(2*x)-2500 
)*exp(-1250/x/ln(2*x)))/x**2/ln(2*x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2539$

Sympy [F(-2)]

Exception generated. $$\int \frac{50-9x+(-3x+2x^2)\log \left(\frac{5}{x}\right)+(-7x-2x^2){\log }^2\left(\frac{5}{x}\right)+(-x+2x^2){\log }^3\left(\frac{5}{x}\right)}{-27x+x^2+(31x+7x^2)\log \left(\frac{5}{x}\right)+(-6x-7x^2-x^3){\log }^2\left(\frac{5}{x}\right)+(2x-x^2+x^3){\log }^3\left(\frac{5}{x}\right)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((2*x**2-x)*ln(5/x)**3+(-2*x**2-7*x)*ln(5/x)**2+(2*x**2-3*x)*ln( 
5/x)-9*x+50)/((x**3-x**2+2*x)*ln(5/x)**3+(-x**3-7*x**2-6*x)*ln(5/x)**2+(7* 
x**2+31*x)*ln(5/x)+x**2-27*x),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**10 - 4*x**9 + 14*x**8 - 28*x**7 
 + 49*x**6 - 56*x**5 + 56*x**4 - 32*x**3 + 16*x**2) contains an element of 
 the set of generators.
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2561$

Sympy [F(-2)]

Exception generated. $$\int \frac{5^{\frac{5}{(x+x^2\log (5))\log (x)}}{e}^{-4+5^{\frac{5}{(x+x^2\log (5))\log (x)}}}(-5\log (5)-5x{\log }^2(5)+(-5\log (5)-10x{\log }^2(5))\log (x))}{(x^2+2x^3\log (5)+x^4{\log }^2(5)){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-10*x*ln(5)**2-5*ln(5))*ln(x)-5*x*ln(5)**2-5*ln(5))*exp(5*ln(5 
)/(x**2*ln(5)+x)/ln(x))*exp(exp(5*ln(5)/(x**2*ln(5)+x)/ln(x))-4)/(x**4*ln( 
5)**2+2*x**3*ln(5)+x**2)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2630$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-30-12x^2-6x^3+6x^4){\log }^2\left(\frac{5+2x^2+x^3-x^4}{x^2}\right)+\log \left(\frac{2}{x}\right)((60-6x^3+12x^4)\log \left(\frac{5+2x^2+x^3-x^4}{x^2}\right)+(30+12x^2+6x^3-6x^4){\log }^2\left(\frac{5+2x^2+x^3-x^4}{x^2}\right))}{(-5x^3-2x^5-x^6+x^7){\log }^3\left(\frac{2}{x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-6*x**4+6*x**3+12*x**2+30)*ln((-x**4+x**3+2*x**2+5)/x**2)**2+ 
(12*x**4-6*x**3+60)*ln((-x**4+x**3+2*x**2+5)/x**2))*ln(2/x)+(6*x**4-6*x**3 
-12*x**2-30)*ln((-x**4+x**3+2*x**2+5)/x**2)**2)/(x**7-x**6-2*x**5-5*x**3)/ 
ln(2/x)**3,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2647$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{3}(-4-15x)}(-75{\log }^2(x)+e^{\frac{2}{3}(-1+e^{\frac{x}{\log (x)}})}(-75{\log }^2(x)+e^{\frac{x}{\log (x)}}(-10+10\log (x))))}{{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((10*ln(x)-10)*exp(x/ln(x))-75*ln(x)**2)*exp(1/3*exp(x/ln(x))-1 
/3)**2-75*ln(x)**2)/exp(5*x+4/3)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2655$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-250x^2+50x^3)\log (x)\log (3+x)+(375x+50x^2-25x^3+(-750x-250x^2)\log (x)){\log }^2(3+x)}{(-54000+14400x+4320x^2-1728x^3+144x^4){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-250*x**2-750*x)*ln(x)-25*x**3+50*x**2+375*x)*ln(3+x)**2+(50* 
x**3-250*x**2)*ln(x)*ln(3+x))/(144*x**4-1728*x**3+4320*x**2+14400*x-54000) 
/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2656$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{x}{4\log (x)}}(-e^{\frac{625-1000x+100x^2+440x^3-71x^4-88x^5+4x^6+8x^7+x^8}{x^4}}{x}^5-x^6-x^7+(e^{\frac{625-1000x+100x^2+440x^3-71x^4-88x^5+4x^6+8x^7+x^8}{x^4}}{x}^5+x^6+x^7)\log (x)+(4x^5+8x^6+e^{\frac{625-1000x+100x^2+440x^3-71x^4-88x^5+4x^6+8x^7+x^8}{x^4}}(-10000+12000x-800x^2-1760x^3-352x^5+32x^6+96x^7+16x^8)){\log }^2(x))}{4x^5{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/4*(((16*x**8+96*x**7+32*x**6-352*x**5-1760*x**3-800*x**2+12000 
*x-10000)*exp((x**8+8*x**7+4*x**6-88*x**5-71*x**4+440*x**3+100*x**2-1000*x 
+625)/x**4)+8*x**6+4*x**5)*ln(x)**2+(x**5*exp((x**8+8*x**7+4*x**6-88*x**5- 
71*x**4+440*x**3+100*x**2-1000*x+625)/x**4)+x**7+x**6)*ln(x)-x**5*exp((x** 
8+8*x**7+4*x**6-88*x**5-71*x**4+440*x**3+100*x**2-1000*x+625)/x**4)-x**7-x 
**6)*exp(1/4*x/ln(x))/x**5/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2688$

Sympy [F(-2)]

Exception generated. $$\int \frac{(3+12x^2){\log }^2(x)+e^{\frac{4+4x\log (x)}{x\log (x)}}(-80x-80x\log (x)+60x^2{\log }^2(x))+e^{\frac{2(4+4x\log (x))}{x\log (x)}}(-200x-200x\log (x)+75x^2{\log }^2(x))}{{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((75*x**2*ln(x)**2-200*x*ln(x)-200*x)*exp((4*x*ln(x)+4)/x/ln(x)) 
**2+(60*x**2*ln(x)**2-80*x*ln(x)-80*x)*exp((4*x*ln(x)+4)/x/ln(x))+(12*x**2 
+3)*ln(x)**2)/ln(x)**2,x)
 

Output:

Exception raised: TypeError >> '>' not supported between instances of 'Pol 
y' and 'int'
 

input file name test_cases/extra_tests/362_Hebisch_2

Test file number $362$

Integral number in file $2709$