Integrals 901 to 987

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{x^3}{4+2x+\log (2+x)}}(16+16x+28x^2+19x^3+4x^4+(8+4x+6x^2+3x^3)\log (2+x)+{\log }^2(2+x))}{16+16x+4x^2+(8+4x)\log (2+x)+{\log }^2(2+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((ln(2+x)**2+(3*x**3+6*x**2+4*x+8)*ln(2+x)+4*x**4+19*x**3+28*x**2 
+16*x+16)*exp(x**3/(ln(2+x)+2*x+4))/(ln(2+x)**2+(4*x+8)*ln(2+x)+4*x**2+16* 
x+16),x)
 

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 $2746$

Sympy [F(-2)]

Exception generated. $$\int \frac{-8x+8x^2+(8x-16x^2)\log (x)+\frac{e^{-3+x^2}(-2x+2x^2+(6x-4x^2-8x^3)\log (x))}{x}+(16x-16x\log (x)+\frac{e^{-3+x^2}(4x+(4-4x-8x^2)\log (x))}{x})\log (4\log (5)+\frac{e^{-3+x^2}\log (5)}{x})+(8+\frac{2e^{-3+x^2}}{x}){\log }^2(4\log (5)+\frac{e^{-3+x^2}\log (5)}{x})}{e^{-3+x^2}{\log }^2(x)+4x{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((2*exp(-ln(x)+x**2-3)+8)*ln(ln(5)*exp(-ln(x)+x**2-3)+4*ln(5))** 
2+(((-8*x**2-4*x+4)*ln(x)+4*x)*exp(-ln(x)+x**2-3)-16*x*ln(x)+16*x)*ln(ln(5 
)*exp(-ln(x)+x**2-3)+4*ln(5))+((-8*x**3-4*x**2+6*x)*ln(x)+2*x**2-2*x)*exp( 
-ln(x)+x**2-3)+(-16*x**2+8*x)*ln(x)+8*x**2-8*x)/(x*ln(x)**2*exp(-ln(x)+x** 
2-3)+4*x*ln(x)**2),x)
 

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 $2942$

Sympy [F(-2)]

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

integrate((((5*x**2+30*x)*ln(x)**2+(-5*x-30)*exp(1))*ln(2*x)**2+((-10*x**4 
-60*x**3-x)*ln(x)**2+(10*x**3+60*x**2)*exp(1))*ln(2*x)+(-2*x**3-12*x**2+x+ 
6)*ln(x)**2*ln(6+x)+(5*x**6+30*x**5+x**3)*ln(x)**2+(-5*x**5-30*x**4)*exp(1 
))/((5*x**2+30*x)*ln(x)**2*ln(2*x)**2+(-10*x**4-60*x**3)*ln(x)**2*ln(2*x)+ 
(5*x**6+30*x**5)*ln(x)**2),x)
 

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 $2964$

Sympy [F(-2)]

Exception generated. $$\int \frac{(\frac{16}{e^{25}}+x)\log (\frac{16}{e^{25}}+x)+(\frac{16x}{e^{25}}+x^2)\log (x){\log }^2(\frac{16}{e^{25}}+x)+(-x\log (x)+(-\frac{16}{e^{25}}-x)\log (x)\log (\frac{16}{e^{25}}+x))\log (\log (x))}{(\frac{16x^2}{e^{25}}+x^3)\log (x){\log }^2(\frac{16}{e^{25}}+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-exp(4*ln(2)-25)-x)*ln(x)*ln(exp(4*ln(2)-25)+x)-x*ln(x))*ln(l 
n(x))+(x*exp(4*ln(2)-25)+x**2)*ln(x)*ln(exp(4*ln(2)-25)+x)**2+(exp(4*ln(2) 
-25)+x)*ln(exp(4*ln(2)-25)+x))/(x**2*exp(4*ln(2)-25)+x**3)/ln(x)/ln(exp(4* 
ln(2)-25)+x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $25$

Sympy [F(-2)]

Exception generated. $$\int \frac{(8x^2-50x^3-2x^4-16x^5+100x^6+4x^7){\log }^2\left(\frac{1}{x}\right)+(8-50x-2x^2)\log (4-25x-x^2)+\log \left(\frac{1}{x}\right)(-50x-4x^2+(-8+50x+2x^2)\log (4-25x-x^2))}{(-4x^2+25x^3+x^4){\log }^2\left(\frac{1}{x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((4*x**7+100*x**6-16*x**5-2*x**4-50*x**3+8*x**2)*ln(1/x)**2+((2* 
x**2+50*x-8)*ln(-x**2-25*x+4)-4*x**2-50*x)*ln(1/x)+(-2*x**2-50*x+8)*ln(-x* 
*2-25*x+4))/(x**4+25*x**3-4*x**2)/ln(1/x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $249$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $406$

Sympy [F(-2)]

Exception generated. $$\int \frac{2x\log (x)+(-216x^3+216x^4-72x^5+8x^6){\log }^3(x)+(6-2x+(6-4x)\log (x))\log (9-6x+x^2)}{(-27x^3+27x^4-9x^5+x^6){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((6-4*x)*ln(x)+6-2*x)*ln(x**2-6*x+9)+(8*x**6-72*x**5+216*x**4-2 
16*x**3)*ln(x)**3+2*x*ln(x))/(x**6-9*x**5+27*x**4-27*x**3)/ln(x)**3,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $477$

Sympy [F(-2)]

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

integrate((((8*x**2-8*x)*ln(x)-24*x**2+24*x)*ln(ln(x)-3)*ln(-x**2*ln(3)/(2 
*x-2)/ln(ln(x)-3))**4+(((16*x**2-32*x)*ln(x)-48*x**2+96*x)*ln(ln(x)-3)-16* 
x**2+16*x)*ln(-x**2*ln(3)/(2*x-2)/ln(ln(x)-3))**3)/((-1+x)*ln(x)-3*x+3)/ln 
(ln(x)-3),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $591$

Sympy [F(-2)]

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

integrate((((x**2+2*x)*ln(5*x+10)-x**2)*exp(-x/(ln(5*x+10)-x))+(2+x)*ln(5* 
x+10)**2+(-2*x**2-4*x)*ln(5*x+10)+x**3+2*x**2)/((2+x)*ln(5*x+10)**2+(-2*x* 
*2-4*x)*ln(5*x+10)+x**3+2*x**2)/exp(exp(-x/(ln(5*x+10)-x))-7),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $618$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $634$

Sympy [F(-2)]

Exception generated. $$\int \frac{2496x\log (1-2x)+(240-480x){\log }^2(1-2x)+(-768x\log (1-2x)+(-192+384x){\log }^2(1-2x))\log \left(x^2\right)}{-169x^2+338x^3+(104x^2-208x^3)\log \left(x^2\right)+(-16x^2+32x^3){\log }^2\left(x^2\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((384*x-192)*ln(1-2*x)**2-768*x*ln(1-2*x))*ln(x**2)+(-480*x+240 
)*ln(1-2*x)**2+2496*x*ln(1-2*x))/((32*x**3-16*x**2)*ln(x**2)**2+(-208*x**3 
+104*x**2)*ln(x**2)+338*x**3-169*x**2),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $685$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $771$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $772$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^5(-10-2x+10x^2+2x^3)+e^{10}(10-8x-2x^2){\log }^2(5+x)+\log \left(\frac{3e^x}{x}\right)(e^5(-10x-2x^2)+4e^{10}x\log (5+x))}{5x+11x^2+7x^3+x^4+e^5(-10x-12x^2-2x^3){\log }^2(5+x)+e^{10}(5x+x^2){\log }^4(5+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((4*x*exp(5)**2*ln(5+x)+(-2*x**2-10*x)*exp(5))*ln(exp(ln(3)+x)/x 
)+(-2*x**2-8*x+10)*exp(5)**2*ln(5+x)**2+(2*x**3+10*x**2-2*x-10)*exp(5))/(( 
x**2+5*x)*exp(5)**2*ln(5+x)**4+(-2*x**3-12*x**2-10*x)*exp(5)*ln(5+x)**2+x* 
*4+7*x**3+11*x**2+5*x),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $869$

Sympy [F(-2)]

Exception generated. $$\int \frac{152^{1-2e^{e^2}}{e}^{e^2}{(6-2e^6-3x)}^{2e^{e^2}}}{-6+2e^6+3x}dx=\text{Exception raised: TypeError}$$ Input:

integrate(30*exp(exp(2))*exp(exp(exp(2))*ln(-exp(6)-3/2*x+3))**2/(2*exp(6) 
+3*x-6),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $875$

Sympy [F(-2)]

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

integrate((((x**4+3*x**3-2*x**2+6*x-8)*ln(4+x)**2+(-x**4-4*x**3-2*x**2-8*x 
)*ln(4+x))*ln(((2-2*x)*ln(4+x)+2*x)/ln(4+x))+(x**4-18*x**2-8*x)*ln(4+x)**2 
+(-x**4+18*x**2+8*x)*ln(4+x)+x**4-4*x**3-2*x**2)/((x**4+3*x**3-4*x**2)*ln( 
4+x)**2+(-x**4-4*x**3)*ln(4+x)),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**3 + 2*x**2 - 7*x + 4) contains 
an element of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $957$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1148$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-20x+e^{3+2x}(16x+16x^2+4x^3))\log (x)\log \left(\frac{-5x+e^{3+2x}(2+x)}{2+x}\right)+(20x+10x^2+e^{3+2x}(-8-8x-2x^2)+(-10x-5x^2+e^{3+2x}(4+4x+x^2))\log (x)){\log }^2\left(\frac{-5x+e^{3+2x}(2+x)}{2+x}\right)}{(-10x-5x^2+e^{3+2x}(4+4x+x^2)){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((((x**2+4*x+4)*exp(3+2*x)-5*x**2-10*x)*ln(x)+(-2*x**2-8*x-8)*ex 
p(3+2*x)+10*x**2+20*x)*ln(((2+x)*exp(3+2*x)-5*x)/(2+x))**2+((4*x**3+16*x** 
2+16*x)*exp(3+2*x)-20*x)*ln(x)*ln(((2+x)*exp(3+2*x)-5*x)/(2+x)))/((x**2+4* 
x+4)*exp(3+2*x)-5*x**2-10*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/363_Hebisch_3

Test file number $363$

Integral number in file $1164$

Sympy [F(-2)]

Exception generated. $$\int \frac{9x+12x^2+18x^3-6x^4-6x^2\log (x)+(24x^2-12x^4-12x^2\log (x)+(-36x+18x^3+18x\log (x))\log (-2+x^2+\log (x)))\log (-2x+3\log (-2+x^2+\log (x)))}{4x-2x^3-2x\log (x)+(-6+3x^2+3\log (x))\log (-2+x^2+\log (x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((18*x*ln(x)+18*x**3-36*x)*ln(ln(x)+x**2-2)-12*x**2*ln(x)-12*x* 
*4+24*x**2)*ln(3*ln(ln(x)+x**2-2)-2*x)-6*x**2*ln(x)-6*x**4+18*x**3+12*x**2 
+9*x)/((3*ln(x)+3*x**2-6)*ln(ln(x)+x**2-2)-2*x*ln(x)-2*x**3+4*x),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1265$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{20+5x+x\log (x)+5{\log }^2(x)}{4+x+{\log }^2(x)}}(-128-56x-6x^2+8x\log (x)+(-64-18x){\log }^2(x)+2x{\log }^3(x)-8{\log }^4(x))}{16x^5+8x^6+x^7+(8x^5+2x^6){\log }^2(x)+x^5{\log }^4(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((-8*ln(x)**4+2*x*ln(x)**3+(-18*x-64)*ln(x)**2+8*x*ln(x)-6*x**2-5 
6*x-128)*exp((5*ln(x)**2+x*ln(x)+20+5*x)/(ln(x)**2+4+x))/(x**5*ln(x)**4+(2 
*x**6+8*x**5)*ln(x)**2+x**7+8*x**6+16*x**5),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1313$

Sympy [F(-2)]

Exception generated. $$\int \frac{((-320-16x-1280x^2-64x^3)\log \left(\frac{20+x}{4}\right)+(1280x^2+64x^3)\log \left(x^2\right)\log \left(\frac{20+x}{4}\right))\log \left(\frac{16+64x^2}{\log \left(x^2\right)}\right)+(-4x-16x^3)\log \left(x^2\right){\log }^2\left(\frac{16+64x^2}{\log \left(x^2\right)}\right)}{(20x+x^2+80x^3+4x^4)\log \left(x^2\right){\log }^2\left(\frac{20+x}{4}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-16*x**3-4*x)*ln(x**2)*ln((64*x**2+16)/ln(x**2))**2+((64*x**3+ 
1280*x**2)*ln(5+1/4*x)*ln(x**2)+(-64*x**3-1280*x**2-16*x-320)*ln(5+1/4*x)) 
*ln((64*x**2+16)/ln(x**2)))/(4*x**4+80*x**3+x**2+20*x)/ln(5+1/4*x)**2/ln(x 
**2),x)
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1350$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{12}{(-15+20x)\log (x{\log }^2(2))}}(72-96x-96x\log (x{\log }^2(2)))}{(45x-120x^2+80x^3){\log }^2(x{\log }^2(2))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((-96*x*ln(x*ln(2)**2)-96*x+72)*exp(12/(20*x-15)/ln(x*ln(2)**2))/ 
(80*x**3-120*x**2+45*x)/ln(x*ln(2)**2)**2,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1422$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-8x+12x^2+72x^3+32x^4)\log (x)+(64-216x-148x^2-44x^3-16x^4+(224x+284x^2+60x^3+32x^4)\log (x))\log (8+x+x^2)}{(8x+x^2+x^3){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((32*x**4+60*x**3+284*x**2+224*x)*ln(x)-16*x**4-44*x**3-148*x** 
2-216*x+64)*ln(x**2+x+8)+(32*x**4+72*x**3+12*x**2-8*x)*ln(x))/(x**3+x**2+8 
*x)/ln(x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1508$

Sympy [F(-2)]

Exception generated. $$\int \frac{2358774e^{2x}+2358774e^x{x}^2}{5x^2+e^{2x}(5+x)+e^x(10x+x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((2358774*exp(x)**2+2358774*exp(x)*x**2)/((5+x)*exp(x)**2+(x**2+1 
0*x)*exp(x)+5*x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2 + 10*x + 25) contains an elem 
ent of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1569$

Sympy [F(-2)]

Exception generated. $$\int \frac{16x^2+(160x+32x^2)\log (2)+e^x(-8x^2+(-40x-36x^2)\log (2)+(40x+(100+180x)\log (2))\log (5))+e^{2x}(x^2+2x^2\log (2)+(-10x-20x\log (2))\log (5)+(25+50\log (2)){\log }^2(5))}{16x^3+(80x^2+32x^3)\log (2)+e^x(-8x^3+(-20x^2-16x^3)\log (2)+(40x^2+(100x+80x^2)\log (2))\log (5))+e^{2x}(x^3+2x^3\log (2)+(-10x^2-20x^2\log (2))\log (5)+(25x+50x\log (2)){\log }^2(5))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((50*ln(2)+25)*ln(5)**2+(-20*x*ln(2)-10*x)*ln(5)+2*x**2*ln(2)+x 
**2)*exp(x)**2+(((180*x+100)*ln(2)+40*x)*ln(5)+(-36*x**2-40*x)*ln(2)-8*x** 
2)*exp(x)+(32*x**2+160*x)*ln(2)+16*x**2)/(((50*x*ln(2)+25*x)*ln(5)**2+(-20 
*x**2*ln(2)-10*x**2)*ln(5)+2*x**3*ln(2)+x**3)*exp(x)**2+(((80*x**2+100*x)* 
ln(2)+40*x**2)*ln(5)+(-16*x**3-20*x**2)*ln(2)-8*x**3)*exp(x)+(32*x**3+80*x 
**2)*ln(2)+16*x**3),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**2 + 2*x**2*log(2) - 20*x*log(2) 
*log(5) - 10*x*log(5) + 25*log(5)**2 + 50*log(2)*log(5)**2) contains an el 
ement of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1573$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^4(4-4x+9x^2-9x^3)+(36x^3-36x^2\log (x))\log (48+108x^2)+(4-4x+9x^2-9x^3){\log }^2(48+108x^2)}{e^8(4x+9x^3)+e^4(-4x^2-9x^4)+e^4(4x+9x^3)\log (x)+(-4x^2-9x^4+e^4(8x+18x^3)+(4x+9x^3)\log (x)){\log }^2(48+108x^2)+(4x+9x^3){\log }^4(48+108x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-9*x**3+9*x**2-4*x+4)*ln(108*x**2+48)**2+(-36*x**2*ln(x)+36*x* 
*3)*ln(108*x**2+48)+(-9*x**3+9*x**2-4*x+4)*exp(4))/((9*x**3+4*x)*ln(108*x* 
*2+48)**4+((9*x**3+4*x)*ln(x)+(18*x**3+8*x)*exp(4)-9*x**4-4*x**2)*ln(108*x 
**2+48)**2+(9*x**3+4*x)*exp(4)*ln(x)+(9*x**3+4*x)*exp(4)**2+(-9*x**4-4*x** 
2)*exp(4)),x)
 

Output:

Exception raised: PolynomialError >> 1/(81*x**6 + 72*x**4 + 16*x**2) conta 
ins an element of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1592$

Sympy [F(-2)]

Exception generated. $$\int \frac{-25x+(100e^{2e^{\frac{4e^5+\log (5)}{e^5}}}-25x)\log (4e^{2e^{\frac{4e^5+\log (5)}{e^5}}}-x)\log (\log (4e^{2e^{\frac{4e^5+\log (5)}{e^5}}}-x))}{(4e^{2e^{\frac{4e^5+\log (5)}{e^5}}}-x)\log (4e^{2e^{\frac{4e^5+\log (5)}{e^5}}}-x)}dx=\text{Exception raised: CoercionFailed}$$ Input:

integrate(((100*exp(exp((ln(5)+4*exp(5))/exp(5)))**2-25*x)*ln(4*exp(exp((l 
n(5)+4*exp(5))/exp(5)))**2-x)*ln(ln(4*exp(exp((ln(5)+4*exp(5))/exp(5)))**2 
-x))-25*x)/(4*exp(exp((ln(5)+4*exp(5))/exp(5)))**2-x)/ln(4*exp(exp((ln(5)+ 
4*exp(5))/exp(5)))**2-x),x)
 

Output:

Exception raised: CoercionFailed >> Cannot convert x - 4*exp(2*5**exp(-5)* 
exp(4)) of type <class 'sympy.core.add.Add'> to QQ[x,exp(5**exp(-5)*exp(4) 
)]
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1616$

Sympy [F(-2)]

Exception generated. $$\int \frac{-9+e^{e^x}(-3-3e^{x}x-6\log (5))+e^{2e^x}(-\log (5)-{\log }^2(5))}{-90+45x+e^{e^x}(15x+(-60+30x)\log (5))+e^{2e^x}(5x\log (5)+(-10+5x){\log }^2(5))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((-ln(5)**2-ln(5))*exp(exp(x))**2+(-3*exp(x)*x-6*ln(5)-3)*exp(ex 
p(x))-9)/(((5*x-10)*ln(5)**2+5*x*ln(5))*exp(exp(x))**2+((30*x-60)*ln(5)+15 
*x)*exp(exp(x))+45*x-90),x)
 

Output:

Exception raised: PolynomialError >> 1/(5*x**2*log(5) + 5*x**2*log(5)**3 + 
 10*x**2*log(5)**2 - 20*x*log(5)**3 - 20*x*log(5)**2 + 20*log(5)**3) conta 
ins an element of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1679$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1742$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{-e+\log (3)}{-20-x+x\log (x)}}(e-\log (3))\log (x)}{400+40x+x^2+(-40x-2x^2)\log (x)+x^2{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((-ln(3)+exp(1))*ln(x)*exp((ln(3)-exp(1))/(x*ln(x)-x-20))/(x**2*l 
n(x)**2+(-2*x**2-40*x)*ln(x)+x**2+40*x+400),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1758$

Sympy [F(-2)]

Exception generated. $$\int \frac{390625\log (x)-x{\log }^2(x)+(390625+x{\log }^2(x))\log (x\log (3))+x{\log }^2(x){\log }^2(x\log (3))}{(-390625x\log (x)+x^2{\log }^2(x))\log (x\log (3))+(x+x^2){\log }^2(x){\log }^2(x\log (3))}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((x*ln(x)**2*ln(x*ln(3))**2+(x*ln(x)**2+390625)*ln(x*ln(3))-x*ln( 
x)**2+390625*ln(x))/((x**2+x)*ln(x)**2*ln(x*ln(3))**2+(x**2*ln(x)**2-39062 
5*x*ln(x))*ln(x*ln(3))),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1784$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^2(2x+2x^2)+e(52x+4x^2)\log (x)+(50x+2x^2){\log }^2(x)+(e(96+48x)+e^2(2x+x^2)+e(4x+2x^2)\log (x)+(2x+x^2){\log }^2(x))\log (2+x)}{e^2(2x+x^2)+e(4x+2x^2)\log (x)+(2x+x^2){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((x**2+2*x)*ln(x)**2+(2*x**2+4*x)*exp(1)*ln(x)+(x**2+2*x)*exp(1 
)**2+(48*x+96)*exp(1))*ln(2+x)+(2*x**2+50*x)*ln(x)**2+(4*x**2+52*x)*exp(1) 
*ln(x)+(2*x**2+2*x)*exp(1)**2)/((x**2+2*x)*ln(x)**2+(2*x**2+4*x)*exp(1)*ln 
(x)+(x**2+2*x)*exp(1)**2),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $1935$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^x(10x^3-10x^4+e^3(-10x^2+10x^3))+e^x(20e^3{x}^2-20x^3)\log (e^3-x)+e^x(10e^{3}x-10x^2){\log }^2(e^3-x)+\log (-9+5e^x)(-54x^3+e^3(-36x+54x^2)+e^x(30x^3+e^3(20x-30x^2))+(-36x+72e^{3}x-72x^2+e^x(20x-40e^{3}x+40x^2))\log (e^3-x)+(18e^3-18x+e^x(-10e^3+10x)){\log }^2(e^3-x))}{9x^5-18x^6+9x^7+e^3(-9x^4+18x^5-9x^6)+e^x(-5x^5+10x^6-5x^7+e^3(5x^4-10x^5+5x^6))+(-36x^5+36x^6+e^3(36x^4-36x^5)+e^x(20x^5-20x^6+e^3(-20x^4+20x^5)))\log (e^3-x)+(-18x^4+54x^5+e^3(18x^3-54x^4)+e^x(10x^4-30x^5+e^3(-10x^3+30x^4))){\log }^2(e^3-x)+(-36e^3{x}^3+36x^4+e^x(20e^3{x}^3-20x^4)){\log }^3(e^3-x)+(-9e^3{x}^2+9x^3+e^x(5e^3{x}^2-5x^3)){\log }^4(e^3-x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((((-10*exp(3)+10*x)*exp(x)+18*exp(3)-18*x)*ln(-x+exp(3))**2+((- 
40*x*exp(3)+40*x**2+20*x)*exp(x)+72*x*exp(3)-72*x**2-36*x)*ln(-x+exp(3))+( 
(-30*x**2+20*x)*exp(3)+30*x**3)*exp(x)+(54*x**2-36*x)*exp(3)-54*x**3)*ln(5 
*exp(x)-9)+(10*x*exp(3)-10*x**2)*exp(x)*ln(-x+exp(3))**2+(20*x**2*exp(3)-2 
0*x**3)*exp(x)*ln(-x+exp(3))+((10*x**3-10*x**2)*exp(3)-10*x**4+10*x**3)*ex 
p(x))/(((5*x**2*exp(3)-5*x**3)*exp(x)-9*x**2*exp(3)+9*x**3)*ln(-x+exp(3))* 
*4+((20*x**3*exp(3)-20*x**4)*exp(x)-36*x**3*exp(3)+36*x**4)*ln(-x+exp(3))* 
*3+(((30*x**4-10*x**3)*exp(3)-30*x**5+10*x**4)*exp(x)+(-54*x**4+18*x**3)*e 
xp(3)+54*x**5-18*x**4)*ln(-x+exp(3))**2+(((20*x**5-20*x**4)*exp(3)-20*x**6 
+20*x**5)*exp(x)+(-36*x**5+36*x**4)*exp(3)+36*x**6-36*x**5)*ln(-x+exp(3))+ 
((5*x**6-10*x**5+5*x**4)*exp(3)-5*x**7+10*x**6-5*x**5)*exp(x)+(-9*x**6+18* 
x**5-9*x**4)*exp(3)+9*x**7-18*x**6+9*x**5),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2068$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2168$

Sympy [F(-2)]

Exception generated. $$\int \frac{(1+9x)\log (x)+(-22-9x-\log (x))\log (\frac{1}{2}(22+9x+\log (x)))}{(22x+9x^2){\log }^2(x)+x{\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-ln(x)-9*x-22)*ln(1/2*ln(x)+9/2*x+11)+(9*x+1)*ln(x))/(x*ln(x)* 
*3+(9*x**2+22*x)*ln(x)**2),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2247$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{3}(9-x\log \left(\frac{-5x^2+\log (5)-x^2\log (-4+2x+x^2)}{5x+x\log (-4+2x+x^2)}\right))}(100x^2-50x^3-25x^4+(20-12x-7x^2)\log (5)+(40x^2-20x^3-10x^4+(4-2x-x^2)\log (5))\log (-4+2x+x^2)+(4x^2-2x^3-x^4){\log }^2(-4+2x+x^2)+(100x^2-50x^3-25x^4+(-20+10x+5x^2)\log (5)+(40x^2-20x^3-10x^4+(-4+2x+x^2)\log (5))\log (-4+2x+x^2)+(4x^2-2x^3-x^4){\log }^2(-4+2x+x^2))\log \left(\frac{-5x^2+\log (5)-x^2\log (-4+2x+x^2)}{5x+x\log (-4+2x+x^2)}\right))}{-300x^2+150x^3+75x^4+(60-30x-15x^2)\log (5)+(-120x^2+60x^3+30x^4+(12-6x-3x^2)\log (5))\log (-4+2x+x^2)+(-12x^2+6x^3+3x^4){\log }^2(-4+2x+x^2)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((-x**4-2*x**3+4*x**2)*ln(x**2+2*x-4)**2+((x**2+2*x-4)*ln(5)-10 
*x**4-20*x**3+40*x**2)*ln(x**2+2*x-4)+(5*x**2+10*x-20)*ln(5)-25*x**4-50*x* 
*3+100*x**2)*ln((-x**2*ln(x**2+2*x-4)+ln(5)-5*x**2)/(x*ln(x**2+2*x-4)+5*x) 
)+(-x**4-2*x**3+4*x**2)*ln(x**2+2*x-4)**2+((-x**2-2*x+4)*ln(5)-10*x**4-20* 
x**3+40*x**2)*ln(x**2+2*x-4)+(-7*x**2-12*x+20)*ln(5)-25*x**4-50*x**3+100*x 
**2)*exp(-1/3*x*ln((-x**2*ln(x**2+2*x-4)+ln(5)-5*x**2)/(x*ln(x**2+2*x-4)+5 
*x))+3)/((3*x**4+6*x**3-12*x**2)*ln(x**2+2*x-4)**2+((-3*x**2-6*x+12)*ln(5) 
+30*x**4+60*x**3-120*x**2)*ln(x**2+2*x-4)+(-15*x**2-30*x+60)*ln(5)+75*x**4 
+150*x**3-300*x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(9*x**5 + 18*x**4 - 36*x**3) contai 
ns an element of the set of generators.
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2263$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{e^{\frac{9x}{6+e^3+\log \left(\frac{5}{3}\right)+3\log (x)}}+\frac{9x}{6+e^3+\log \left(\frac{5}{3}\right)+3\log (x)}}(27+9e^3+9\log \left(\frac{5}{3}\right)+27\log (x))}{36+12e^3+e^6-(-12-2e^3)\log \left(\frac{5}{3}\right)+{\log }^2\left(\frac{5}{3}\right)+(36+6e^3+6\log \left(\frac{5}{3}\right))\log (x)+9{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((27*ln(x)-9*ln(3/5)+9*exp(3)+27)*exp(9*x/(3*ln(x)-ln(3/5)+exp(3) 
+6))*exp(exp(9*x/(3*ln(x)-ln(3/5)+exp(3)+6)))/(9*ln(x)**2+(-6*ln(3/5)+6*ex 
p(3)+36)*ln(x)+ln(3/5)**2+(-2*exp(3)-12)*ln(3/5)+exp(3)**2+12*exp(3)+36),x 
)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2305$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2314$

Sympy [F(-2)]

Exception generated. $$\int \frac{(600-160x-136x^2-16x^3){\log }^2(2x)+e^{\frac{x}{(40+8x)\log (2x)}}(-5x-x^2+5x\log (2x)+(200+80x+8x^2){\log }^2(2x))}{(200+80x+8x^2){\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((8*x**2+80*x+200)*ln(2*x)**2+5*x*ln(2*x)-x**2-5*x)*exp(x/(8*x+ 
40)/ln(2*x))+(-16*x**3-136*x**2-160*x+600)*ln(2*x)**2)/(8*x**2+80*x+200)/l 
n(2*x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2325$

Sympy [F(-2)]

Exception generated. $$\int \frac{-720+540x+3e^{4+x}{x}^3+(180x-6e^{4+x}{x}^2)\log \left(\frac{x}{\log (5)}\right)+3e^{4+x}x{\log }^2\left(\frac{x}{\log (5)}\right)+(-720x-180x^2+3e^{4+x}{x}^2+(720+180x-6e^{4+x}x)\log \left(\frac{x}{\log (5)}\right)+3e^{4+x}{\log }^2\left(\frac{x}{\log (5)}\right))\log \left(\frac{-240-60x+e^{4+x}x-e^{4+x}\log \left(\frac{x}{\log (5)}\right)}{-x+\log \left(\frac{x}{\log (5)}\right)}\right)}{-240x-60x^2+e^{4+x}{x}^2+(240+60x-2e^{4+x}x)\log \left(\frac{x}{\log (5)}\right)+e^{4+x}{\log }^2\left(\frac{x}{\log (5)}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((3*exp(4+x)*ln(x/ln(5))**2+(-6*x*exp(4+x)+180*x+720)*ln(x/ln(5) 
)+3*x**2*exp(4+x)-180*x**2-720*x)*ln((-exp(4+x)*ln(x/ln(5))+x*exp(4+x)-60* 
x-240)/(ln(x/ln(5))-x))+3*x*exp(4+x)*ln(x/ln(5))**2+(-6*x**2*exp(4+x)+180* 
x)*ln(x/ln(5))+3*x**3*exp(4+x)+540*x-720)/(exp(4+x)*ln(x/ln(5))**2+(-2*x*e 
xp(4+x)+60*x+240)*ln(x/ln(5))+x**2*exp(4+x)-60*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/363_Hebisch_3

Test file number $363$

Integral number in file $2392$

Sympy [F(-2)]

Exception generated. $$\int \frac{1+(5-x)\log (5-x)+e^3(-100+20x){\log }^2(5-x)}{(5-x)\log (5-x)+e^3(-100+20x){\log }^2(5-x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(((20*x-100)*exp(3)*ln(5-x)**2+(5-x)*ln(5-x)+1)/((20*x-100)*exp(3 
)*ln(5-x)**2+(5-x)*ln(5-x)),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2411$

Sympy [F(-2)]

Exception generated. $$\int \frac{75+90x+3x^2+(120x-24x^2+(75-30x+3x^2)\log \left(\frac{x}{e}\right))\log \left(\frac{-8x+(-5+x)\log \left(\frac{x}{e}\right)}{-5+x}\right)\log (-\log \left(\frac{-8x+(-5+x)\log \left(\frac{x}{e}\right)}{-5+x}\right))}{(40x-8x^2+(25-10x+x^2)\log \left(\frac{x}{e}\right))\log \left(\frac{-8x+(-5+x)\log \left(\frac{x}{e}\right)}{-5+x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((3*x**2-30*x+75)*ln(x/exp(1))-24*x**2+120*x)*ln(((-5+x)*ln(x/e 
xp(1))-8*x)/(-5+x))*ln(-ln(((-5+x)*ln(x/exp(1))-8*x)/(-5+x)))+3*x**2+90*x+ 
75)/((x**2-10*x+25)*ln(x/exp(1))-8*x**2+40*x)/ln(((-5+x)*ln(x/exp(1))-8*x) 
/(-5+x)),x)
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2435$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2519$

Sympy [F(-2)]

Exception generated. $$\int \frac{(80-40x-2x^2+x^3)\log (-2+x)+e^{3e^x+x}(-60x^2+30x^3)\log (-2+x)+(-40x-10e^{3e^x}{x}^2-x^3)\log \left(\frac{40+10e^{3e^x}x+x^2}{x}\right)}{e^{3e^x}(-20x^2+10x^3){\log }^2(-2+x)+(-80x+40x^2-2x^3+x^4){\log }^2(-2+x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-10*x**2*exp(3*exp(x))-x**3-40*x)*ln((10*x*exp(3*exp(x))+x**2+ 
40)/x)+(30*x**3-60*x**2)*exp(x)*ln(-2+x)*exp(3*exp(x))+(x**3-2*x**2-40*x+8 
0)*ln(-2+x))/((10*x**3-20*x**2)*ln(-2+x)**2*exp(3*exp(x))+(x**4-2*x**3+40* 
x**2-80*x)*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/363_Hebisch_3

Test file number $363$

Integral number in file $2523$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(-_t1**2*x**2 - _t2*x**2 + x**4) co 
ntains an element of the set of generators.
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2581$

Sympy [F(-2)]

Exception generated. $$\int \frac{36x^3+12x^4+(-36x^3-9x^4)\log (x)+(-18-9x-x^2){\log }^2(5){\log }^3(x)+(-18x^3-6x^4+(18x^3+6x^4)\log (x)+(9+3x){\log }^2(5){\log }^3(x))\log (3+x)}{(3x^2+x^3){\log }^2(5){\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((3*x+9)*ln(5)**2*ln(x)**3+(6*x**4+18*x**3)*ln(x)-6*x**4-18*x** 
3)*ln(3+x)+(-x**2-9*x-18)*ln(5)**2*ln(x)**3+(-9*x**4-36*x**3)*ln(x)+12*x** 
4+36*x**3)/(x**3+3*x**2)/ln(5)**2/ln(x)**3,x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2610$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2617$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{-\frac{5}{x^4\log (-3x+2x^5)}}(-45+150x^4+(-180+120x^4)\log (-3x+2x^5))}{(-3x^5+2x^9){\log }^2(-3x+2x^5)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((120*x**4-180)*ln(2*x**5-3*x)+150*x**4-45)/(2*x**9-3*x**5)/ln(2 
*x**5-3*x)**2/exp(5/x**4/ln(2*x**5-3*x)),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2620$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2793$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2800$

Sympy [F(-2)]

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

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

Output:

Exception raised: IndexError >> Index out of range: a[1]
 

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2858$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{1}{-400x^5+(2000x^4+400x^5)\log (x)}}(-5+4x+(-20-5x)\log (x))}{200x^7+(-2000x^6-400x^7)\log (x)+(5000x^5+2000x^6+200x^7){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-5*x-20)*ln(x)+4*x-5)/((200*x**7+2000*x**6+5000*x**5)*ln(x)**2 
+(-400*x**7-2000*x**6)*ln(x)+200*x**7)/exp(-1/((400*x**5+2000*x**4)*ln(x)- 
400*x**5)),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2869$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2893$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{x}{2+\log (-18-2x+\log (4)+3\log (25))}}(-36-2x+2\log (4)+6\log (25)+(-18-2x+\log (4)+3\log (25))\log (-18-2x+\log (4)+3\log (25)))}{-72-8x+4\log (4)+12\log (25)+(-72-8x+4\log (4)+12\log (25))\log (-18-2x+\log (4)+3\log (25))+(-18-2x+\log (4)+3\log (25)){\log }^2(-18-2x+\log (4)+3\log (25))}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((6*ln(5)+2*ln(2)-2*x-18)*ln(6*ln(5)+2*ln(2)-2*x-18)+12*ln(5)+4* 
ln(2)-2*x-36)*exp(x/(ln(6*ln(5)+2*ln(2)-2*x-18)+2))/((6*ln(5)+2*ln(2)-2*x- 
18)*ln(6*ln(5)+2*ln(2)-2*x-18)**2+(24*ln(5)+8*ln(2)-8*x-72)*ln(6*ln(5)+2*l 
n(2)-2*x-18)+24*ln(5)+8*ln(2)-8*x-72),x)
 

Output:

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

input file name test_cases/extra_tests/363_Hebisch_3

Test file number $363$

Integral number in file $2900$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{2x}{\log (x)}}(-2x^2+2x^2\log (x)+2x{\log }^2(x)+e^{-30+2x-2x\log (2x)}(-2+2\log (x)-2{\log }^2(x)\log (2x))+e^{-15+x-x\log (2x)}(4x-4x\log (x)-2{\log }^2(x)+2x{\log }^2(x)\log (2x)))}{5{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/5*((-2*ln(x)**2*ln(2*x)+2*ln(x)-2)*exp(-x*ln(2*x)+x-15)**2+(2* 
x*ln(x)**2*ln(2*x)-2*ln(x)**2-4*x*ln(x)+4*x)*exp(-x*ln(2*x)+x-15)+2*x*ln(x 
)**2+2*x**2*ln(x)-2*x**2)*exp(x/ln(x))**2/ln(x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{3+e^{10}(-x^2-x^3)}{-e^{10}{x}^2+e^{10}{x}^2\log \left(\frac{x}{5\log (x)}\right)}}(3+e^{10}(-x^2-x^3)+(3+e^{10}(x^2+2x^3))\log (x)+(-6-e^{10}{x}^3)\log (x)\log \left(\frac{x}{5\log (x)}\right))}{e^{10}{x}^3\log (x)-2e^{10}{x}^3\log (x)\log \left(\frac{x}{5\log (x)}\right)+e^{10}{x}^3\log (x){\log }^2\left(\frac{x}{5\log (x)}\right)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $11$

Sympy [F(-2)]

Exception generated. $$\int \frac{30+30x+e^4(10+25x+15x^2)+(3x+e^4(-15x-15x^2))\log (x)+e^4(15+15x){\log }^2(x)+(-3-3x)\log (1+x)}{e^4(15x+15x^2){\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-3*x-3)*ln(1+x)+(15*x+15)*exp(4)*ln(x)**2+((-15*x**2-15*x)*exp 
(4)+3*x)*ln(x)+(15*x**2+25*x+10)*exp(4)+30*x+30)/(15*x**2+15*x)/exp(4)/ln( 
x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $95$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $101$

Sympy [F(-2)]

Exception generated. $$\int \frac{-36x+36x^2+(3x-3x^2)\log (x)+(33x-108x^2+(-3x+9x^2)\log (x))\log (2x)+(-36x+3x\log (x)+(72x-6x\log (x))\log (2x))\log \left(\frac{-12+\log (x)}{8x}\right)}{(-12+\log (x)){\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-6*x*ln(x)+72*x)*ln(2*x)+3*x*ln(x)-36*x)*ln(1/8*(ln(x)-12)/x) 
+((9*x**2-3*x)*ln(x)-108*x**2+33*x)*ln(2*x)+(-3*x**2+3*x)*ln(x)+36*x**2-36 
*x)/(ln(x)-12)/ln(2*x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $111$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^x{x}^3+(324+324x+e^{e^{4x}}(324+324x))\log (1+e^{e^{4x}})+2e^x{x}^2\log (x)+e^{x}x{\log }^2(x)+e^{e^{4x}}(-1296e^{4x}{x}^2+e^x{x}^3+(-1296e^{4x}x+2e^x{x}^2)\log (x)+e^{x}x{\log }^2(x))}{x^3+2x^2\log (x)+x{\log }^2(x)+e^{e^{4x}}(x^3+2x^2\log (x)+x{\log }^2(x))}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((324*x+324)*exp(exp(4*x))+324*x+324)*ln(exp(exp(4*x))+1)+(x*ex 
p(x)*ln(x)**2+(-1296*x*exp(4*x)+2*exp(x)*x**2)*ln(x)-1296*x**2*exp(4*x)+ex 
p(x)*x**3)*exp(exp(4*x))+x*exp(x)*ln(x)**2+2*x**2*exp(x)*ln(x)+exp(x)*x**3 
)/((x*ln(x)**2+2*x**2*ln(x)+x**3)*exp(exp(4*x))+x*ln(x)**2+2*x**2*ln(x)+x* 
*3),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $277$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $310$

Sympy [F(-2)]

Exception generated. $$\int \frac{16e^4+e^{4+2x}{x}^2+e^{4+x}(-4+4x)}{-32+16x+e^x(-20x+8x^2)+e^{2x}(-3x^2+x^3)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((x**2*exp(4)*exp(x)**2+(-4+4*x)*exp(4)*exp(x)+16*exp(4))/((x**3- 
3*x**2)*exp(x)**2+(8*x**2-20*x)*exp(x)+16*x-32),x)
 

Output:

Exception raised: PolynomialError >> 1/(x**4 - 6*x**3 + 9*x**2) contains a 
n element of the set of generators.
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $366$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{9+123x+30x^2}{10\log \left(\frac{2+x^2}{x}\right)}}(18+246x+51x^2-123x^3-30x^4+(246x+120x^2+123x^3+60x^4)\log \left(\frac{2+x^2}{x}\right)+(20+10x^2){\log }^2\left(\frac{2+x^2}{x}\right))}{(20+10x^2){\log }^2\left(\frac{2+x^2}{x}\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((10*x**2+20)*ln((x**2+2)/x)**2+(60*x**4+123*x**3+120*x**2+246*x 
)*ln((x**2+2)/x)-30*x**4-123*x**3+51*x**2+246*x+18)*exp(1/10*(30*x**2+123* 
x+9)/ln((x**2+2)/x))/(10*x**2+20)/ln((x**2+2)/x)**2,x)
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $541$

Sympy [F(-2)]

Exception generated. $$\int \frac{-72x+144x^2-108x^3+10x^4+15x^5+(-48x^2-72x^3)\log (x)+(-12x^2+12x^3-36x^4){\log }^2(x)+(-8x^3-12x^4){\log }^3(x)+(-2x^4-3x^5){\log }^4(x)+(72x+108x^2-30x^3-45x^4+(96x+144x^2)\log (x)+(12x+12x^2+72x^3){\log }^2(x)+(24x^2+36x^3){\log }^3(x)+(6x^3+9x^4){\log }^4(x))\log (2+3x)+(30x^2+45x^3+(-48-72x)\log (x)+(-24x-36x^2){\log }^2(x)+(-24x-36x^2){\log }^3(x)+(-6x^2-9x^3){\log }^4(x)){\log }^2(2+3x)+(-10x-15x^2+(8+12x){\log }^3(x)+(2x+3x^2){\log }^4(x)){\log }^3(2+3x)}{-72x^2-108x^3+10x^4+15x^5+(-24x^3-36x^4){\log }^2(x)+(-2x^4-3x^5){\log }^4(x)+(72x+108x^2-30x^3-45x^4+(48x^2+72x^3){\log }^2(x)+(6x^3+9x^4){\log }^4(x))\log (2+3x)+(30x^2+45x^3+(-24x-36x^2){\log }^2(x)+(-6x^2-9x^3){\log }^4(x)){\log }^2(2+3x)+(-10x-15x^2+(2x+3x^2){\log }^4(x)){\log }^3(2+3x)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((((3*x**2+2*x)*ln(x)**4+(12*x+8)*ln(x)**3-15*x**2-10*x)*ln(2+3*x 
)**3+((-9*x**3-6*x**2)*ln(x)**4+(-36*x**2-24*x)*ln(x)**3+(-36*x**2-24*x)*l 
n(x)**2+(-72*x-48)*ln(x)+45*x**3+30*x**2)*ln(2+3*x)**2+((9*x**4+6*x**3)*ln 
(x)**4+(36*x**3+24*x**2)*ln(x)**3+(72*x**3+12*x**2+12*x)*ln(x)**2+(144*x** 
2+96*x)*ln(x)-45*x**4-30*x**3+108*x**2+72*x)*ln(2+3*x)+(-3*x**5-2*x**4)*ln 
(x)**4+(-12*x**4-8*x**3)*ln(x)**3+(-36*x**4+12*x**3-12*x**2)*ln(x)**2+(-72 
*x**3-48*x**2)*ln(x)+15*x**5+10*x**4-108*x**3+144*x**2-72*x)/(((3*x**2+2*x 
)*ln(x)**4-15*x**2-10*x)*ln(2+3*x)**3+((-9*x**3-6*x**2)*ln(x)**4+(-36*x**2 
-24*x)*ln(x)**2+45*x**3+30*x**2)*ln(2+3*x)**2+((9*x**4+6*x**3)*ln(x)**4+(7 
2*x**3+48*x**2)*ln(x)**2-45*x**4-30*x**3+108*x**2+72*x)*ln(2+3*x)+(-3*x**5 
-2*x**4)*ln(x)**4+(-36*x**4-24*x**3)*ln(x)**2+15*x**5+10*x**4-108*x**3-72* 
x**2),x)
 

Output:

Exception raised: PolynomialError >> 1/(9*_t0**16*x**4 + 12*_t0**16*x**3 + 
 4*_t0**16*x**2 - 180*_t0**12*x**4 - 240*_t0**12*x**3 - 80*_t0**12*x**2 + 
1350*_t0**8*x**4 + 1800*_t0**8*x**3 + 600*_t0**8*x**2 - 4500*_t0**4*x**4 - 
 6000*_t0**4*x*
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $659$

Sympy [F(-2)]

Exception generated. $$\int \frac{-50x-20e^{4}x-2e^{8}x+(-20x-4e^{4}x)\log (x)-2x{\log }^2(x)+e^{\frac{x^3+x^2\log (4)}{5+e^4+\log (x)}}(25+e^8+14x^3+e^4(10+3x^3)+(9x^2+2e^4{x}^2)\log (4)+(10+2e^4+3x^3+2x^2\log (4))\log (x)+{\log }^2(x))}{25+10e^4+e^8+(10+2e^4)\log (x)+{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((ln(x)**2+(4*x**2*ln(2)+2*exp(4)+3*x**3+10)*ln(x)+2*(2*x**2*exp 
(4)+9*x**2)*ln(2)+exp(4)**2+(3*x**3+10)*exp(4)+14*x**3+25)*exp((2*x**2*ln( 
2)+x**3)/(ln(x)+5+exp(4)))-2*x*ln(x)**2+(-4*x*exp(4)-20*x)*ln(x)-2*x*exp(4 
)**2-20*x*exp(4)-50*x)/(ln(x)**2+(2*exp(4)+10)*ln(x)+exp(4)**2+10*exp(4)+2 
5),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $749$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $775$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{\frac{3x^2+5x^3+2x^4}{(4+8x)\log \left(x^2\right)}}(-6x^2-22x^3-24x^4-8x^5+(6x^2+21x^3+28x^4+12x^5)\log \left(x^2\right)+(-8-32x-32x^2){\log }^2\left(x^2\right))}{(4x^3+16x^4+16x^5){\log }^2\left(x^2\right)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-32*x**2-32*x-8)*ln(x**2)**2+(12*x**5+28*x**4+21*x**3+6*x**2)* 
ln(x**2)-8*x**5-24*x**4-22*x**3-6*x**2)*exp((2*x**4+5*x**3+3*x**2)/(8*x+4) 
/ln(x**2))/(16*x**5+16*x**4+4*x**3)/ln(x**2)**2,x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $947$

Sympy [F(-2)]

Exception generated. $$\int \frac{e^{9e^{\frac{2(-4x-x^2)}{6-3x+3\log (x)}}+\frac{2(-4x-x^2)}{6-3x+3\log (x)}}(-24-18x+6x^2+(-24-12x)\log (x))}{4-4x+x^2+(4-2x)\log (x)+{\log }^2(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-12*x-24)*ln(x)+6*x**2-18*x-24)*exp((-x**2-4*x)/(3*ln(x)-3*x+6 
))**2*exp(9*exp((-x**2-4*x)/(3*ln(x)-3*x+6))**2)/(ln(x)**2+(4-2*x)*ln(x)+x 
**2-4*x+4),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1034$

Sympy [F(-2)]

Exception generated. $$\int \frac{7x^2+(12+4x){\log }^3(5x)\log (3+x)+{\log }^4(5x)(-x+(-3-x)\log (3+x))}{147x^2+49x^3+(-42x-14x^2){\log }^4(5x)+(3+x){\log }^8(5x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-3-x)*ln(3+x)-x)*ln(5*x)**4+(4*x+12)*ln(3+x)*ln(5*x)**3+7*x** 
2)/((3+x)*ln(5*x)**8+(-14*x**2-42*x)*ln(5*x)**4+49*x**3+147*x**2),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1123$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1148$

Sympy [F(-2)]

Exception generated. $$\int \frac{128-32x+64x^2-16x^3+8x^4-2x^5+(40-530x+280x^2-545x^3+258x^4-128x^5+48x^6-6x^7)\log (x)+(2-296x+82x^2-258x^3+64x^4-48x^5+12x^6){\log }^2(x)+(-49x+4x^2-32x^3-6x^5){\log }^3(x)-2x{\log }^4(x)+((52-x+88x^2-16x^3+19x^4-4x^5)\log (x)+(20+24x^2+5x^4){\log }^2(x)+{\log }^3(x))\log ({\log }^2(x))}{(16-8x+x^2)\log (x)+(8-2x){\log }^2(x)+{\log }^3(x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((ln(x)**3+(5*x**4+24*x**2+20)*ln(x)**2+(-4*x**5+19*x**4-16*x**3 
+88*x**2-x+52)*ln(x))*ln(ln(x)**2)-2*x*ln(x)**4+(-6*x**5-32*x**3+4*x**2-49 
*x)*ln(x)**3+(12*x**6-48*x**5+64*x**4-258*x**3+82*x**2-296*x+2)*ln(x)**2+( 
-6*x**7+48*x**6-128*x**5+258*x**4-545*x**3+280*x**2-530*x+40)*ln(x)-2*x**5 
+8*x**4-16*x**3+64*x**2-32*x+128)/(ln(x)**3+(-2*x+8)*ln(x)**2+(x**2-8*x+16 
)*ln(x)),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1161$

Sympy [F(-2)]

Exception generated. $$\int \frac{-507x^2+481x^3-152x^4+16x^5+(-234x^2+150x^3-24x^4)\log (81-108x+54x^2-12x^3+x^4)+(-27x^2+9x^3){\log }^2(81-108x+54x^2-12x^3+x^4)+e^{\frac{1}{13x-4x^2+3x\log (81-108x+54x^2-12x^3+x^4)}}(39-49x+8x^2+(9-3x)\log (81-108x+54x^2-12x^3+x^4))}{-507x^2+481x^3-152x^4+16x^5+(-234x^2+150x^3-24x^4)\log (81-108x+54x^2-12x^3+x^4)+(-27x^2+9x^3){\log }^2(81-108x+54x^2-12x^3+x^4)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((((-3*x+9)*ln(x**4-12*x**3+54*x**2-108*x+81)+8*x**2-49*x+39)*exp 
(1/(3*x*ln(x**4-12*x**3+54*x**2-108*x+81)-4*x**2+13*x))+(9*x**3-27*x**2)*l 
n(x**4-12*x**3+54*x**2-108*x+81)**2+(-24*x**4+150*x**3-234*x**2)*ln(x**4-1 
2*x**3+54*x**2-108*x+81)+16*x**5-152*x**4+481*x**3-507*x**2)/((9*x**3-27*x 
**2)*ln(x**4-12*x**3+54*x**2-108*x+81)**2+(-24*x**4+150*x**3-234*x**2)*ln( 
x**4-12*x**3+54*x**2-108*x+81)+16*x**5-152*x**4+481*x**3-507*x**2),x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1263$

Sympy [F(-2)]

Exception generated. $$\int \frac{(-208x-60x^2+108x^3-36x^4+4x^5)\log (2x)+(-60+164x-57x^2-15x^3+9x^4-x^5)\log \left(\frac{400-1920x+2424x^2-48x^3-607x^4+132x^5+30x^6-12x^7+x^8}{81-108x+54x^2-12x^3+x^4}\right)}{(60x-164x^2+57x^3+15x^4-9x^5+x^6){\log }^2(2x)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(((-x**5+9*x**4-15*x**3-57*x**2+164*x-60)*ln((x**8-12*x**7+30*x** 
6+132*x**5-607*x**4-48*x**3+2424*x**2-1920*x+400)/(x**4-12*x**3+54*x**2-10 
8*x+81))+(4*x**5-36*x**4+108*x**3-60*x**2-208*x)*ln(2*x))/(x**6-9*x**5+15* 
x**4+57*x**3-164*x**2+60*x)/ln(2*x)**2,x)
 

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1318$

Sympy [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/364_Hebisch_4

Test file number $364$

Integral number in file $1323$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(_t**4 - 4*sqrt(2)*_t**2 + 8) conta 
ins an element of the set of generators.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $1$

Sympy [F(-2)]

Exception generated. $$\int \frac{-\sqrt{3}b-2ax+4\sqrt{2}ax+3b^{2}x+2\sqrt{3}ab{x}^2-2\sqrt{6}ab{x}^2+2\sqrt{2}{a}^2{x}^3}{1-2\sqrt{3}bx-a{x}^2+3b^2{x}^2+\sqrt{3}ab{x}^3+\sqrt{2}{a}^2{x}^4}dx=\text{Exception raised: PolynomialError}$$ Input:

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

Output:

Exception raised: PolynomialError >> 1/(128*_t**4*a**2 - 768*_t**4*a*b**2 
+ 144*sqrt(2)*_t**4*a*b**2 - 432*sqrt(2)*_t**4*b**4 + 1233*_t**4*b**4 - 51 
2*sqrt(2)*_t**3*a**2 - 128*_t**3*a**2 + 192*_t**3*a*b**2 + 1368*sqrt(2)*_t 
**3*a*b**2 - 12
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $3$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(-593*_t**4 + 288*sqrt(2)*_t**4 - 1 
360*sqrt(2)*_t**3 + 1196*_t**3 - 1044*_t**2 + 244*sqrt(2)*_t**2 - 800*_t + 
 584*sqrt(2)*_t - 136 + 96*sqrt(2)) contains an element of the set of gene 
rators.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $8$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(9*_t**4 - 204*_t**3 + 12*sqrt(2)*_ 
t**2 + 1204*_t**2 - 544*_t - 136*sqrt(2)*_t + 32*sqrt(2) + 72) contains an 
 element of the set of generators.
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $9$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(606928896*sqrt(2)*_t**6*a**45*b**1 
5 + 151732224*sqrt(2)*_t**5*a**39*b**14 + 12644352*sqrt(2)*_t**4*a**33*b** 
13 - 24385536*_t**4*a**30*b**10 + 351232*sqrt(2)*_t**3*a**27*b**12 - 40642 
56*_t**3*a**24*
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $19$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(3-2\sqrt{2}+x^2)}^2(-3+2\sqrt{2}+x^2)}{577-408\sqrt{2}+328x^2-232\sqrt{2}{x}^2+78x^4-56\sqrt{2}{x}^4+8x^6-8\sqrt{2}{x}^6+x^8}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((3-2*2**(1/2)+x**2)**2*(-3+2*2**(1/2)+x**2)/(577-408*2**(1/2)+32 
8*x**2-232*2**(1/2)*x**2+78*x**4-56*2**(1/2)*x**4+8*x**6-8*x**6*2**(1/2)+x 
**8),x)
 

Output:

Exception raised: PolynomialError >> 1/(-489331912114255602061892417478047 
2498117708482611714912381696*_t**4 + 3460099133069698398004476359279702930 
052248019321310378430976*sqrt(2)*_t**4 - 159769239484575670917838951113184 
628965915778476
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $47$

Sympy [F(-2)]

Exception generated. $$\int \frac{\sqrt{5}(-24-2\sqrt{21})+\sqrt{5}(-105+15\sqrt{21})x^2}{-16+(-48\sqrt{5}+4\sqrt{105})x+(50+60\sqrt{21})x^2+(-210\sqrt{5}-30\sqrt{105})x^3+525x^4}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((5**(1/2)*(-24-2*21**(1/2))+5**(1/2)*(-105+15*21**(1/2))*x**2)/( 
-16+(-48*5**(1/2)+4*105**(1/2))*x+(50+60*21**(1/2))*x**2+(-210*5**(1/2)-30 
*105**(1/2))*x**3+525*x**4),x)
 

Output:

Exception raised: PolynomialError >> 1/(-11312*_t**4 + 1680*sqrt(21)*_t**4 
 - 3360*_t**3 + 288*sqrt(21)*_t**3 - 600*sqrt(21)*_t**2 + 2568*_t**2 - 72* 
sqrt(21)*_t + 360*_t - 207 + 45*sqrt(21)) contains an element of the set o 
f generators.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $48$

Sympy [F(-2)]

Exception generated. $$\int \frac{3\sqrt{7}+6\sqrt{11}+(-121\sqrt{105}-98\sqrt{165})x^4}{-12\sqrt{15}+10200x^4-118580\sqrt{15}{x}^8}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((3*7**(1/2)+6*11**(1/2)+(-121*105**(1/2)-98*165**(1/2))*x**4)/(- 
12*15**(1/2)+10200*x**4-118580*15**(1/2)*x**8),x)
 

Output:

Exception raised: PolynomialError >> 1/(8876619644311361811449478210059404 
03892090960648942070894847733907374495278002081072424698386397863110524278 
65545878613259174768870299313417544282422774969138741079283023024302083445 
868952121128899
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $50$

Sympy [F(-2)]

Exception generated. $$\int \frac{8\sqrt{11}-2\sqrt{165}-14\sqrt{15}x+(-70\sqrt{11}-14\sqrt{165})x^2+770x^3+245\sqrt{11}{x}^4}{8(-30+8\sqrt{15})+8(-650+40\sqrt{15})x^2+8(3850+1015\sqrt{15})x^4-107800x^6}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((8*11**(1/2)-2*165**(1/2)-14*15**(1/2)*x+(-70*11**(1/2)-14*165** 
(1/2))*x**2+770*x**3+245*11**(1/2)*x**4)/(-240+64*15**(1/2)+8*(-650+40*15* 
*(1/2))*x**2+8*(3850+1015*15**(1/2))*x**4-107800*x**6),x)
 

Output:

Exception raised: PolynomialError >> 1/(8026406129722253778490365429016317 
86571585667051597111057095382995817099486707204483301622083173133484870882 
512219322449920000000000000000000000000000000000*_t**48 + 2072409151354094 
443219300735040
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $51$

Sympy [F(-2)]

Exception generated. $$\int \frac{12(-420+1999\sqrt{3})x}{(-1999+140\sqrt{3})(-4-2\sqrt{3}-6x^2+6\sqrt{3}{x}^2-9x^4)}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate(12*(-420+1999*3**(1/2))*x/(-1999+140*3**(1/2))/(-4-2*3**(1/2)-6* 
x**2+6*3**(1/2)*x**2-9*x**4),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: PolynomialError >> 1/(-173135830797577185636502362255200 
6976*_t**2 + 987143636854743804260619971714841888*sqrt(3)*_t**2 - 45428740 
085141256258642586775496*_t + 27842854251208551842166254171016*sqrt(3)*_t 
- 3639190287298
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $54$

Sympy [F(-2)]

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

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

Output:

Exception raised: PolynomialError >> 1/(192*sqrt(3)*_t**4 + 336*_t**4 - 48 
0*_t**3 - 256*sqrt(3)*_t**3 + 48*sqrt(3)*_t**2 + 184*_t**2 + 8*_t + 16*sqr 
t(3)*_t + 1) contains an element of the set of generators.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $59$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(3-2\sqrt{2}+x^2)}^2(-3+2\sqrt{2}+x^2)}{577-408\sqrt{2}+328x^2-232\sqrt{2}{x}^2+78x^4-56\sqrt{2}{x}^4+8x^6-8\sqrt{2}{x}^6+x^8}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((3-2*2**(1/2)+x**2)**2*(-3+2*2**(1/2)+x**2)/(577-408*2**(1/2)+32 
8*x**2-232*2**(1/2)*x**2+78*x**4-56*2**(1/2)*x**4+8*x**6-8*x**6*2**(1/2)+x 
**8),x)
 

Output:

Exception raised: PolynomialError >> 1/(-489331912114255602061892417478047 
2498117708482611714912381696*_t**4 + 3460099133069698398004476359279702930 
052248019321310378430976*sqrt(2)*_t**4 - 159769239484575670917838951113184 
628965915778476
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $83$

Sympy [F(-2)]

Exception generated. $$\int \frac{-36-2\sqrt{6}{x}^2}{9\sqrt{3}+3\sqrt{2}{x}^2-x^4}dx=\text{Exception raised: PolynomialError}$$ Input:

integrate((-36-2*6**(1/2)*x**2)/(9*3**(1/2)+3*2**(1/2)*x**2-x**4),x)
 

Output:

Exception raised: PolynomialError >> 1/(2*_t**4 - 2*sqrt(2)*_t**2 + 1) con 
tains an element of the set of generators.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number $367$

Integral number in file $98$