Exception generated. \[ \int \frac {e^{\frac {5+\left (-2-36 x^2-e^{2 x} x^2-24 x^3-4 x^4+e^x \left (12 x^2+4 x^3\right )\right ) \log \left (\frac {1}{2} \left (4+e^x\right )\right )}{\log \left (\frac {1}{2} \left (4+e^x\right )\right )}} \left (-5 e^x+\left (-288 x-288 x^2-64 x^3+e^{3 x} \left (-2 x-2 x^2\right )+e^x \left (24 x+24 x^2\right )+e^{2 x} \left (16 x+16 x^2+4 x^3\right )\right ) \log ^2\left (\frac {1}{2} \left (4+e^x\right )\right )\right )}{\left (4+e^x\right ) \log ^2\left (\frac {1}{2} \left (4+e^x\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-2*x^2-2*x)*exp(x)^3+(4*x^3+16*x^2+16*x)*exp(x)^2+(24*x^2+24* x)*exp(x)-64*x^3-288*x^2-288*x)*log(1/2*exp(x)+2)^2-5*exp(x))*exp(((-exp(x )^2*x^2+(4*x^3+12*x^2)*exp(x)-4*x^4-24*x^3-36*x^2-2)*log(1/2*exp(x)+2)+5)/ log(1/2*exp(x)+2))/(exp(x)+4)/log(1/2*exp(x)+2)^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-8000,[0,3,3]%%%}+%%%{-36000,[0,3,2]%%%}+%%%{-36000,[0,3,1 ]%%%} / %
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(286\)
Exception generated. \[ \int \frac {\left (-7 x+\frac {1}{9} e^{5+2 x} x+e^5 \left (24 x-10 x^2+x^3\right )+\frac {1}{3} e^x \left (x+x^2+e^5 \left (11 x-2 x^2\right )\right )\right ) \log ^2(x)+e^{\frac {4}{\log (x)}} \left (-\frac {4 e^{5+x}}{3}+e^5 (-20+4 x)+\left (e^5 x-\frac {1}{3} e^{5+x} x\right ) \log ^2(x)\right )}{\left (\frac {1}{9} e^{5+2 x} x+\frac {1}{3} e^{5+x} \left (10 x-2 x^2\right )+e^5 \left (25 x-10 x^2+x^3\right )\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-x*exp(5)*exp(-log(3)+x)+x*exp(5))*log(x)^2-4*exp(5)*exp(-log (3)+x)+(4*x-20)*exp(5))*exp(4/log(x))+(x*exp(5)*exp(-log(3)+x)^2+((-2*x^2+ 11*x)*exp(5)+x^2+x)*exp(-log(3)+x)+(x^3-10*x^2+24*x)*exp(5)-7*x)*log(x)^2) /(x*exp(5)*exp(-log(3)+x)^2+(-2*x^2+10*x)*exp(5)*exp(-log(3)+x)+(x^3-10*x^ 2+25*x)*exp(5))/log(x)^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-128,[0,6,2,0,0]%%%}+%%%{-256,[0,6,1,1,0]%%%}+%%%{768,[0,6 ,1,0,0]%%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(315\)
Exception generated. \[ \int \frac {e^{\frac {3 x-x^2+x^{-\frac {x}{-10+5 x}}+9 x^2 \log (x)}{x}} \left (160 x^2-160 x^3+40 x^4+\left (180 x^2-180 x^3+45 x^4\right ) \log (x)+x^{-\frac {x}{-10+5 x}} \left (-20+22 x-6 x^2+2 x \log (x)\right )\right )}{20 x^2-20 x^3+5 x^4} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x*log(x)-6*x^2+22*x-20)*exp(-x*log(x)/(5*x-10))+(45*x^4-180* x^3+180*x^2)*log(x)+40*x^4-160*x^3+160*x^2)*exp((exp(-x*log(x)/(5*x-10))+9 *x^2*log(x)-x^2+3*x)/x)/(5*x^4-20*x^3+20*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-2880000,[1,8]%%%}+%%%{25920000,[1,7]%%%} / %%%{1600000,[0 ,6]%%%} E
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(413\)
Exception generated. \[ \int \frac {-10 x^2-2 e^3 x^2+e^{e^{\frac {5 x+25 x^4+5 e^3 x^4}{5+e^3}}+\frac {5 x+25 x^4+5 e^3 x^4}{5+e^3}} \left (5 x+100 x^4+20 e^3 x^4\right )+\left (e^{e^{\frac {5 x+25 x^4+5 e^3 x^4}{5+e^3}}} \left (-5-e^3\right )+5 x^2+e^3 x^2\right ) \log \left (-e^{e^{\frac {5 x+25 x^4+5 e^3 x^4}{5+e^3}}}+x^2\right )}{-5 x^4-e^3 x^4+e^{e^{\frac {5 x+25 x^4+5 e^3 x^4}{5+e^3}}} \left (5 x^2+e^3 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-exp(3)-5)*exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))+x^2 *exp(3)+5*x^2)*log(-exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))+x^2)+(2 0*x^4*exp(3)+100*x^4+5*x)*exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5))*exp(ex p((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))-2*x^2*exp(3)-10*x^2)/((x^2*exp(3) +5*x^2)*exp(exp((5*x^4*exp(3)+25*x^4+5*x)/(exp(3)+5)))-x^4*exp(3)-5*x^4),x , algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{8000,[0,2,18,3,15]%%%}+%%%{200000,[0,2,18,3,12]%%%}+%%%{20 00000,[0,
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(426\)
Exception generated. \[ \int \frac {e^{-\frac {-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} \left (-3 e^5 x-6 x^2+\left (-3 e^5 x-6 x^2\right ) \log (x)-2 e^{\frac {-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} x^3 \log ^2(x)+\left (e^5 (2-3 x)+4 x-6 x^2-2 x^3\right ) \log ^2(x)\right )}{\left (e^{10} x^3+4 e^5 x^4+4 x^5\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-2*x^3*log(x)^2*exp(((1-3*x)*log(x)-3*x)/x^2/log(x))+((2-3*x)*e xp(5)-2*x^3-6*x^2+4*x)*log(x)^2+(-3*x*exp(5)-6*x^2)*log(x)-3*x*exp(5)-6*x^ 2)/(x^3*exp(5)^2+4*x^4*exp(5)+4*x^5)/log(x)^2/exp(((1-3*x)*log(x)-3*x)/x^2 /log(x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-13824,[0,25,0]%%%}+%%%{-48384,[0,24,1]%%%}+%%%{-72576,[0, 23,2]%%%}
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(433\)
Exception generated. \[ \int \frac {e^{\frac {-11 x-x^2+e^{x^2} (10+x)+e^{\frac {e^x}{2 x}} \left (-e^{x^2}+x\right )}{-10+e^{\frac {e^x}{2 x}}-x}} \left (220 x+40 x^2+2 x^3+e^{\frac {e^x}{x}} \left (2 x-4 e^{x^2} x^2\right )+e^{x^2} \left (-400 x^2-80 x^3-4 x^4\right )+e^{\frac {e^x}{2 x}} \left (e^x (-1+x)-42 x-4 x^2+e^{x^2} \left (80 x^2+8 x^3\right )\right )\right )}{200 x+2 e^{\frac {e^x}{x}} x+40 x^2+2 x^3+e^{\frac {e^x}{2 x}} \left (-40 x-4 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-4*exp(x^2)*x^2+2*x)*exp(1/2*exp(x)/x)^2+((8*x^3+80*x^2)*exp(x ^2)+(-1+x)*exp(x)-4*x^2-42*x)*exp(1/2*exp(x)/x)+(-4*x^4-80*x^3-400*x^2)*ex p(x^2)+2*x^3+40*x^2+220*x)*exp(((-exp(x^2)+x)*exp(1/2*exp(x)/x)+(x+10)*exp (x^2)-x^2-11*x)/(exp(1/2*exp(x)/x)-x-10))/(2*x*exp(1/2*exp(x)/x)^2+(-4*x^2 -40*x)*exp(1/2*exp(x)/x)+2*x^3+40*x^2+200*x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-32,[0,8,9,6,25]%%%}+%%%{-1696,[0,8,9,6,24]%%%}+%%%{-35232 ,[0,8,9,6
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(445\)
Exception generated. \[ \int \frac {e^{\frac {41958+104976 x+122472 x^2+81648 x^3+34020 x^4+9072 x^5+1512 x^6+144 x^7+6 x^8}{19683 x+52488 x^2+61236 x^3+40824 x^4+17010 x^5+4536 x^6+756 x^7+72 x^8+3 x^9+e^{2 x} \left (6561 x+17496 x^2+20412 x^3+13608 x^4+5670 x^5+1512 x^6+252 x^7+24 x^8+x^9\right )}} \left (-377622-1132866 x-1417176 x^2-1102248 x^3-551124 x^4-183708 x^5-40824 x^6-5832 x^7-486 x^8-18 x^9+e^{2 x} \left (-125874-629370 x-1186164 x^2-1312200 x^3-918540 x^4-428652 x^5-136080 x^6-29160 x^7-4050 x^8-330 x^9-12 x^{10}\right )\right )}{177147 x^2+531441 x^3+708588 x^4+551124 x^5+275562 x^6+91854 x^7+20412 x^8+2916 x^9+243 x^{10}+9 x^{11}+e^{4 x} \left (19683 x^2+59049 x^3+78732 x^4+61236 x^5+30618 x^6+10206 x^7+2268 x^8+324 x^9+27 x^{10}+x^{11}\right )+e^{2 x} \left (118098 x^2+354294 x^3+472392 x^4+367416 x^5+183708 x^6+61236 x^7+13608 x^8+1944 x^9+162 x^{10}+6 x^{11}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-12*x^10-330*x^9-4050*x^8-29160*x^7-136080*x^6-428652*x^5-9185 40*x^4-1312200*x^3-1186164*x^2-629370*x-125874)*exp(x)^2-18*x^9-486*x^8-58 32*x^7-40824*x^6-183708*x^5-551124*x^4-1102248*x^3-1417176*x^2-1132866*x-3 77622)*exp((6*x^8+144*x^7+1512*x^6+9072*x^5+34020*x^4+81648*x^3+122472*x^2 +104976*x+41958)/((x^9+24*x^8+252*x^7+1512*x^6+5670*x^5+13608*x^4+20412*x^ 3+17496*x^2+6561*x)*exp(x)^2+3*x^9+72*x^8+756*x^7+4536*x^6+17010*x^5+40824 *x^4+61236*x^3+52488*x^2+19683*x))/((x^11+27*x^10+324*x^9+2268*x^8+10206*x ^7+30618*x^6+61236*x^5+78732*x^4+59049*x^3+19683*x^2)*exp(x)^4+(6*x^11+162 *x^10+1944*x^9+13608*x^8+61236*x^7+183708*x^6+367416*x^5+472392*x^4+354294 *x^3+118098*x^2)*exp(x)^2+9*x^11+243*x^10+2916*x^9+20412*x^8+91854*x^7+275 562*x^6+551124*x^5+708588*x^4+531441*x^3+177147*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-864,[1,61]%%%}+%%%{-140832,[1,60]%%%}+%%%{-11267640,[1,59 ]%%%}+%%%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(595\)
Exception generated. \[ \int \frac {e^{\frac {1}{9 x+6 x^2+x^3+\frac {e^{5+x} \left (-6 x-2 x^2\right ) (1+x \log (x))}{\log (x)}+\frac {e^{10+2 x} x (1+x \log (x))^2}{\log ^2(x)}}} \left ((3+3 x) \log (x)+\left (3 x+3 x^2\right ) \log ^2(x)+\frac {e^{5+x} (1+x \log (x)) \left (2+(-1-2 x) \log (x)+\left (-3 x-2 x^2\right ) \log ^2(x)\right )}{\log (x)}\right )}{\left (-27 x^2-27 x^3-9 x^4-x^5\right ) \log (x)+\left (-27 x^3-27 x^4-9 x^5-x^6\right ) \log ^2(x)+\frac {e^{15+3 x} (1+x \log (x))^3 \left (x^2 \log (x)+x^3 \log ^2(x)\right )}{\log ^3(x)}+\frac {e^{10+2 x} (1+x \log (x))^2 \left (\left (-9 x^2-3 x^3\right ) \log (x)+\left (-9 x^3-3 x^4\right ) \log ^2(x)\right )}{\log ^2(x)}+\frac {e^{5+x} (1+x \log (x)) \left (\left (27 x^2+18 x^3+3 x^4\right ) \log (x)+\left (27 x^3+18 x^4+3 x^5\right ) \log ^2(x)\right )}{\log (x)}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-2*x^2-3*x)*log(x)^2+(-1-2*x)*log(x)+2)*exp(log((x*log(x)+1)/ log(x))+5+x)+(3*x^2+3*x)*log(x)^2+(3*x+3)*log(x))*exp(1/(x*exp(log((x*log( x)+1)/log(x))+5+x)^2+(-2*x^2-6*x)*exp(log((x*log(x)+1)/log(x))+5+x)+x^3+6* x^2+9*x))/((x^3*log(x)^2+x^2*log(x))*exp(log((x*log(x)+1)/log(x))+5+x)^3+( (-3*x^4-9*x^3)*log(x)^2+(-3*x^3-9*x^2)*log(x))*exp(log((x*log(x)+1)/log(x) )+5+x)^2+((3*x^5+18*x^4+27*x^3)*log(x)^2+(3*x^4+18*x^3+27*x^2)*log(x))*exp (log((x*log(x)+1)/log(x))+5+x)+(-x^6-9*x^5-27*x^4-27*x^3)*log(x)^2+(-x^5-9 *x^4-27*x^3-27*x^2)*log(x)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(601\)
Exception generated. \[ \int \frac {\left (-8 x^2+2 x^3-2 x^4\right ) \log (5) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right )+\left (16-8 x+12 x^2+\left (-4 x^2+2 x^3-3 x^4\right ) \log (5)\right ) \log \left (-4+x^2 \log (5)\right )+\left (8 x^2-2 x^3+2 x^4\right ) \log (5) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right ) \log \left (\log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right )\right )}{\left (-16 x+4 x^2-4 x^3+\left (4 x^3-x^4+x^5\right ) \log (5)\right ) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right ) \log ^2\left (-4+x^2 \log (5)\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x^4-2*x^3+8*x^2)*log(5)*log(-1/4*x^3+1/4*x^2-x)*log(log(-1/4 *x^3+1/4*x^2-x))+((-3*x^4+2*x^3-4*x^2)*log(5)+12*x^2-8*x+16)*log(x^2*log(5 )-4)+(-2*x^4+2*x^3-8*x^2)*log(5)*log(-1/4*x^3+1/4*x^2-x))/((x^5-x^4+4*x^3) *log(5)-4*x^3+4*x^2-16*x)/log(-1/4*x^3+1/4*x^2-x)/log(x^2*log(5)-4)^2,x, a lgorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument Value
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(700\)
Exception generated. \[ \int \frac {e^{\frac {40 x+9 e^x x+9 x^2-20 \log (2)}{e^x x+x^2}} \left (-40 x^2+40 x \log (2)+e^x \left (-40 x^2+(20+20 x) \log (2)\right )\right )}{e^{2 x} x^2+2 e^x x^3+x^4} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((20*x+20)*log(2)-40*x^2)*exp(x)+40*x*log(2)-40*x^2)*exp((9*exp (x)*x-20*log(2)+9*x^2+40*x)/(exp(x)*x+x^2))/(exp(x)^2*x^2+2*exp(x)*x^3+x^4 ),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{640,[1,15,0]%%%}+%%%{-1600,[1,14,1]%%%}+%%%{-1920,[1,14,0] %%%}+%%%{
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(716\)
Exception generated. \[ \int \frac {\left (50-10 e^x-10 x\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 x-2 x^2}{\log \left (-5+e^x+x\right )}} \left (-4 x^3+8 x^4-4 x^5+e^x \left (-4 x^3+8 x^4-4 x^5\right )+\left (-20 x^2+64 x^3-52 x^4+8 x^5+e^x \left (4 x^2-12 x^3+8 x^4\right )\right ) \log \left (-5+e^x+x\right )+\left (-20 x+34 x^2-6 x^3+e^x \left (4 x-6 x^2\right )\right ) \log ^2\left (-5+e^x+x\right )\right )}{\left (-125 x^2+25 e^x x^2+25 x^3\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 x-2 x^2}{\log \left (-5+e^x+x\right )}} \left (50 x^3-60 x^4+10 x^5+e^x \left (-10 x^3+10 x^4\right )\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 \left (2 x-2 x^2\right )}{\log \left (-5+e^x+x\right )}} \left (-5 x^4+11 x^5-7 x^6+x^7+e^x \left (x^4-2 x^5+x^6\right )\right ) \log ^2\left (-5+e^x+x\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((((-6*x^2+4*x)*exp(x)-6*x^3+34*x^2-20*x)*log(exp(x)+x-5)^2+((8* x^4-12*x^3+4*x^2)*exp(x)+8*x^5-52*x^4+64*x^3-20*x^2)*log(exp(x)+x-5)+(-4*x ^5+8*x^4-4*x^3)*exp(x)-4*x^5+8*x^4-4*x^3)*exp((-2*x^2+2*x)/log(exp(x)+x-5) )+(-10*exp(x)-10*x+50)*log(exp(x)+x-5)^2)/(((x^6-2*x^5+x^4)*exp(x)+x^7-7*x ^6+11*x^5-5*x^4)*log(exp(x)+x-5)^2*exp((-2*x^2+2*x)/log(exp(x)+x-5))^2+((1 0*x^4-10*x^3)*exp(x)+10*x^5-60*x^4+50*x^3)*log(exp(x)+x-5)^2*exp((-2*x^2+2 *x)/log(exp(x)+x-5))+(25*exp(x)*x^2+25*x^3-125*x^2)*log(exp(x)+x-5)^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{8,[0,10,17]%%%}+%%%{-96,[0,10,16]%%%}+%%%{448,[0,10,15]%%% }+%%%{-11
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(899\)
Exception generated. \[ \int \frac {e^{\frac {12+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} (3-3 x)-11 x}{-4+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} (-1+x)+4 x}} \left (-4+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} \left (-1+e^{2 x} \left (2 x-2 x^2\right )+e^x \left (-2 x+2 x^2\right ) \log \left (\frac {13}{4}\right )\right )\right )}{16-32 x+16 x^2+e^{2 e^{2 x}-4 e^x \log \left (\frac {13}{4}\right )+2 \log ^2\left (\frac {13}{4}\right )} \left (1-2 x+x^2\right )+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} \left (8-16 x+8 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-2*x^2+2*x)*exp(x)^2+(2*x^2-2*x)*log(13/4)*exp(x)-1)*exp(exp( x)^2-2*log(13/4)*exp(x)+log(13/4)^2)-4)*exp(((-3*x+3)*exp(exp(x)^2-2*log(1 3/4)*exp(x)+log(13/4)^2)-11*x+12)/((-1+x)*exp(exp(x)^2-2*log(13/4)*exp(x)+ log(13/4)^2)+4*x-4))/((x^2-2*x+1)*exp(exp(x)^2-2*log(13/4)*exp(x)+log(13/4 )^2)^2+(8*x^2-16*x+8)*exp(exp(x)^2-2*log(13/4)*exp(x)+log(13/4)^2)+16*x^2- 32*x+16),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{524288,[0,8,12,22,1,1,8]%%%}+%%%{-7864320,[0,8,12,21,1,1,8 ]%%%}+%%%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1040\)
Exception generated. \[ \int \frac {6-12 x^3}{\left (x+3 x^2+x^4\right ) \log \left (\frac {5 x}{1+3 x+x^3}\right )} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((-12*x^3+6)/(x^4+3*x^2+x)/log(5*x/(x^3+3*x+1)),x, algorithm="gia c")
Output:
Exception raised: AttributeError >> type
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1107\)
Exception generated. \[ \int \frac {e^{\frac {8-6 x+5 x^2-x^3-x^4+e^{4 e^{x^2} x} \left (4-5 x+x^2+x^3\right )}{e^{4 e^{x^2} x} (-4+x)+4 x-x^2}} \left (-32+16 x+14 x^2-8 x^3-11 x^4+2 x^5+e^{8 e^{x^2} x} \left (16-8 x-11 x^2+2 x^3\right )+e^{4 e^{x^2} x} \left (-32 x+16 x^2+22 x^3-4 x^4+e^{x^2} \left (128-64 x+264 x^2-128 x^3+16 x^4\right )\right )\right )}{16 x^2-8 x^3+x^4+e^{8 e^{x^2} x} \left (16-8 x+x^2\right )+e^{4 e^{x^2} x} \left (-32 x+16 x^2-2 x^3\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x^3-11*x^2-8*x+16)*exp(4*exp(x^2)*x)^2+((16*x^4-128*x^3+264* x^2-64*x+128)*exp(x^2)-4*x^4+22*x^3+16*x^2-32*x)*exp(4*exp(x^2)*x)+2*x^5-1 1*x^4-8*x^3+14*x^2+16*x-32)*exp(((x^3+x^2-5*x+4)*exp(4*exp(x^2)*x)-x^4-x^3 +5*x^2-6*x+8)/((-4+x)*exp(4*exp(x^2)*x)-x^2+4*x))/((x^2-8*x+16)*exp(4*exp( x^2)*x)^2+(-2*x^3+16*x^2-32*x)*exp(4*exp(x^2)*x)+x^4-8*x^3+16*x^2),x, algo rithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{4194304,[0,6,35]%%%}+%%%{-257949696,[0,6,34]%%%}+%%%{73945 57952,[0,
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1125\)
Exception generated. \[ \int \frac {e^{\frac {1+x \log (x)}{\left (-25 x+5 e^x x-5 x^2\right ) \log (x)}} \left (5-e^x+x+\left (5+e^x (-1-x)+2 x\right ) \log (x)+\left (x^2-e^x x^2\right ) \log ^2(x)\right )}{e^{\frac {1+x \log (x)}{\left (-25 x+5 e^x x-5 x^2\right ) \log (x)}} \left (125 x^2+5 e^{2 x} x^2+50 x^3+5 x^4+e^x \left (-50 x^2-10 x^3\right )\right ) \log ^2(x)+\left (-250 x^2-10 e^{2 x} x^2-100 x^3-10 x^4+e^x \left (100 x^2+20 x^3\right )\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-exp(x)*x^2+x^2)*log(x)^2+((-1-x)*exp(x)+5+2*x)*log(x)+x-exp(x )+5)*exp((x*log(x)+1)/(5*exp(x)*x-5*x^2-25*x)/log(x))/((5*exp(x)^2*x^2+(-1 0*x^3-50*x^2)*exp(x)+5*x^4+50*x^3+125*x^2)*log(x)^2*exp((x*log(x)+1)/(5*ex p(x)*x-5*x^2-25*x)/log(x))+(-10*exp(x)^2*x^2+(20*x^3+100*x^2)*exp(x)-10*x^ 4-100*x^3-250*x^2)*log(x)^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:exp(sageVARx)^2=exp(2*sageVARx)exp( sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2= exp(2*sag
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1158\)
Exception generated. \[ \int \frac {e^{\frac {1}{4} \left (15-4 e^x+20 x-5 \log (3)\right )} \left (-e^x x \log (4)+(-1+5 x) \log (4)\right )}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-2*x*log(2)*exp(x)+2*(5*x-1)*log(2))/x^2/exp(exp(x)+5/4*log(3)- 5*x-15/4),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1392\)
Exception generated. \[ \int \frac {68 x^4-68 x^5+17 x^6+e^{-2 x^2+2 x^3} \left (68-68 x+17 x^2\right )+e^{-\frac {x}{-2+x}} \left (-128 x+160 x^2-32 x^3\right )+e^{-x^2+x^3} \left (-136 x^2+136 x^3-34 x^4+e^{-\frac {x}{-2+x}} \left (-32-128 x+320 x^2-224 x^3+48 x^4\right )\right )}{64 x^4-64 x^5+16 x^6+e^{-2 x^2+2 x^3} \left (64-64 x+16 x^2\right )+e^{-x^2+x^3} \left (-128 x^2+128 x^3-32 x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((17*x^2-68*x+68)*exp(x^3-x^2)^2+((48*x^4-224*x^3+320*x^2-128*x- 32)*exp(-x/(-2+x))-34*x^4+136*x^3-136*x^2)*exp(x^3-x^2)+(-32*x^3+160*x^2-1 28*x)*exp(-x/(-2+x))+17*x^6-68*x^5+68*x^4)/((16*x^2-64*x+64)*exp(x^3-x^2)^ 2+(-32*x^4+128*x^3-128*x^2)*exp(x^3-x^2)+16*x^6-64*x^5+64*x^4),x, algorith m="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{864,[0,15]%%%}+%%%{-10368,[0,14]%%%}+%%%{52992,[0,13]%%%}+ %%%{-1511
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1400\)
Exception generated. \[ \int \frac {e^{\frac {2}{100 x+10 e^{1+e^{e^x}} x}} \left (-10-1500 x-15 e^{2+2 e^{e^x}} x+e^{1+e^{e^x}} \left (-1-300 x-e^{e^x+x} x\right )\right )}{500 x^5+100 e^{1+e^{e^x}} x^5+5 e^{2+2 e^{e^x}} x^5} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-15*x*exp(exp(exp(x))+1)^2+(-x*exp(x)*exp(exp(x))-300*x-1)*exp( exp(exp(x))+1)-1500*x-10)*exp(1/(10*x*exp(exp(exp(x))+1)+100*x))^2/(5*x^5* exp(exp(exp(x))+1)^2+100*x^5*exp(exp(exp(x))+1)+500*x^5),x, algorithm="gia c")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{4687500000000,[0,8,6,6,15,8]%%%}+%%%{31250000000,[0,8,6,6, 14,8]%%%}
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1505\)
Exception generated. \[ \int \frac {e^{\frac {4+3 x^2-x^3}{12 x^2+2 e^{2 x} x^2}} \left (-48-6 x^3+e^{2 x} \left (-8-8 x-7 x^3+2 x^4\right )\right )}{72 x^3+24 e^{2 x} x^3+2 e^{4 x} x^3} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x^4-7*x^3-8*x-8)*exp(x)^2-6*x^3-48)*exp((-x^3+3*x^2+4)/(2*ex p(x)^2*x^2+12*x^2))/(2*x^3*exp(x)^4+24*exp(x)^2*x^3+72*x^3),x, algorithm=" giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-1152,[1,23]%%%}+%%%{18432,[1,22]%%%}+%%%{-117792,[1,21]%% %}+%%%{39
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1580\)
Exception generated. \[ \int -\frac {24 e^{\frac {1}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )}}{64+16 e^{\frac {1}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )} x+e^{\frac {2}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )} x^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(-24*exp(1/5*exp(16)^2*log(2)^2-2/5*exp(16)^2*log(2)+1/5*exp(16)^ 2)/(x^2*exp(1/5*exp(16)^2*log(2)^2-2/5*exp(16)^2*log(2)+1/5*exp(16)^2)^2+1 6*x*exp(1/5*exp(16)^2*log(2)^2-2/5*exp(16)^2*log(2)+1/5*exp(16)^2)+64),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -24* exp(exp(32)*ln(2)^2/5-exp(32)*ln(2)*2/5+exp(32)/5)*2*1/16/sqrt(-exp(1/5*(e xp(32)*ln(2)^2-2*exp(32)*ln(2)+exp(32)))^2+exp(1/5*(2*exp(32)*ln(2)^2-4*ex p(32)*ln(2)+2*exp(3
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1590\)
Exception generated. \[ \int \frac {-54 x-6 e^6 x+162 x^2-108 x^3+e^3 \left (-36 x+54 x^2\right )+2^{60/x} x^{60/x} \left (2 x-6 x^2+4 x^3\right )+2^{20/x} x^{20/x} \left (54 x-162 x^2+108 x^3+e^6 (-40+2 x)+e^3 \left (-120+144 x-36 x^2\right )+\left (40 e^6+e^3 (120-120 x)\right ) \log (2 x)\right )+2^{40/x} x^{40/x} \left (-18 x+54 x^2-36 x^3+e^3 \left (40-44 x+6 x^2\right )+e^3 (-40+40 x) \log (2 x)\right )}{-27+27\ 2^{20/x} x^{20/x}-9\ 2^{40/x} x^{40/x}+2^{60/x} x^{60/x}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((4*x^3-6*x^2+2*x)*exp(20*log(2*x)/x)^3+((40*x-40)*exp(3)*log(2* x)+(6*x^2-44*x+40)*exp(3)-36*x^3+54*x^2-18*x)*exp(20*log(2*x)/x)^2+((40*ex p(3)^2+(-120*x+120)*exp(3))*log(2*x)+(2*x-40)*exp(3)^2+(-36*x^2+144*x-120) *exp(3)+108*x^3-162*x^2+54*x)*exp(20*log(2*x)/x)-6*x*exp(3)^2+(54*x^2-36*x )*exp(3)-108*x^3+162*x^2-54*x)/(exp(20*log(2*x)/x)^3-9*exp(20*log(2*x)/x)^ 2+27*exp(20*log(2*x)/x)-27),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{265420800000,[1,10,15,0]%%%}+%%%{-3981312000000,[1,10,14,0 ]%%%}+%%%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(1628\)
Exception generated. \[ \int \frac {2 e^{16}+2 e^{2 e^x}+8 e^{12} x+2 x^2+4 x^3+2 x^4+e^{e^x} \left (-4 e^8-4 x-8 e^4 x-4 x^2\right )+e^8 \left (4 x+12 x^2\right )+e^4 \left (8 x^2+8 x^3\right )+\left (2 e^{2 e^x+x} x \log \left (16 x^2\right )+e^{e^x} \left (-2 x-4 e^4 x-4 x^2+e^x \left (-2 e^8 x-2 x^2-4 e^4 x^2-2 x^3\right )\right ) \log \left (16 x^2\right )+\left (4 e^{12} x+2 x^2+6 x^3+4 x^4+e^8 \left (2 x+12 x^2\right )+e^4 \left (8 x^2+12 x^3\right )\right ) \log \left (16 x^2\right )\right ) \log \left (\frac {1}{4} \log \left (16 x^2\right )\right )}{x \log \left (16 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x*exp(x)*log(16*x^2)*exp(exp(x))^2+((-2*x*exp(4)^2-4*x^2*exp (4)-2*x^3-2*x^2)*exp(x)-4*x*exp(4)-4*x^2-2*x)*log(16*x^2)*exp(exp(x))+(4*x *exp(4)^3+(12*x^2+2*x)*exp(4)^2+(12*x^3+8*x^2)*exp(4)+4*x^4+6*x^3+2*x^2)*l og(16*x^2))*log(1/4*log(16*x^2))+2*exp(exp(x))^2+(-4*exp(4)^2-8*x*exp(4)-4 *x^2-4*x)*exp(exp(x))+2*exp(4)^4+8*x*exp(4)^3+(12*x^2+4*x)*exp(4)^2+(8*x^3 +8*x^2)*exp(4)+2*x^4+4*x^3+2*x^2)/x/log(16*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:ln of unsigned or minus infinity Er ror: Bad Argument Value
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2383\)
Exception generated. \[ \int \frac {e^{-4 x/9} \left (e^{4 x/9} \left (e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right ) \log (x)+\left (324 e^5-324 x\right ) \log ^3(\log (x))+\left (324 x-36 e^5 x+36 x^2\right ) \log (x) \log ^4(\log (x))\right )}{\left (e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right ) \log (x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-36*x*exp(5)+36*x^2+324*x)*log(x)*log(log(x))^4+(324*exp(5)-32 4*x)*log(log(x))^3+(x*exp(5)^5-5*x^2*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5 )^2+5*x^5*exp(5)-x^6)*exp(1/9*x)^4*log(x))/(x*exp(5)^5-5*x^2*exp(5)^4+10*x ^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)/exp(1/9*x)^4/log(x),x, algor ithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2388\)
Exception generated. \[ \int \frac {e^{\frac {4 e^{e^2}}{\log \left (\frac {27+12 x}{x}\right )}} \left (36 e^{e^2} \log (x)+(9+4 x) \log ^2\left (\frac {27+12 x}{x}\right )\right )}{\left (9 x+4 x^2\right ) \log ^2\left (\frac {27+12 x}{x}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((9*exp(2*log(2)+exp(2))*log(x)+(4*x+9)*log((12*x+27)/x)^2)*exp(e xp(2*log(2)+exp(2))/log((12*x+27)/x))/(4*x^2+9*x)/log((12*x+27)/x)^2,x, al gorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{186624,[0,0,1,3]%%%}+%%%{419904,[0,0,0,3]%%%} / %%%{186624 ,[0,0,2,3
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2555\)
Exception generated. \[ \int \frac {20 e^{2 x}+40 e^x x+20 x^2+e^{\frac {9 x+8 x^3+e^x \left (4+8 x^2\right )}{10 e^x+10 x}} \left (32 e^{2 x} x+32 x^3+e^x \left (10-10 x+64 x^2\right )\right )}{5 e^{2 x}+10 e^x x+5 x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((32*x*exp(x)^2+(64*x^2-10*x+10)*exp(x)+32*x^3)*exp(((8*x^2+4)*e xp(x)+8*x^3+9*x)/(10*exp(x)+10*x))+20*exp(x)^2+40*exp(x)*x+20*x^2)/(5*exp( x)^2+10*exp(x)*x+5*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-80000000,[1,12]%%%}+%%%{220000000,[1,11]%%%}+%%%{-8000000 0,[1,10]%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2601\)
Exception generated. \[ \int \frac {-1+2 x+e^{-2+e^4} (-20+40 x)+e^{-4+2 e^4} \left (-158+313 x+4 x^2\right )+e^{-6+3 e^4} \left (-580+1130 x+40 x^2\right )+e^{-8+4 e^4} \left (-841+1595 x+115 x^2+2 x^3\right )}{x+20 e^{-2+e^4} x+e^{-4+2 e^4} \left (158 x+2 x^2\right )+e^{-6+3 e^4} \left (580 x+20 x^2\right )+e^{-8+4 e^4} \left (841 x+58 x^2+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(((2*x^3+115*x^2+1595*x-841)*exp(exp(4)-2)^4+(40*x^2+1130*x-580)* exp(exp(4)-2)^3+(4*x^2+313*x-158)*exp(exp(4)-2)^2+(40*x-20)*exp(exp(4)-2)+ 2*x-1)/((x^3+58*x^2+841*x)*exp(exp(4)-2)^4+(20*x^2+580*x)*exp(exp(4)-2)^3+ (2*x^2+158*x)*exp(exp(4)-2)^2+20*x*exp(exp(4)-2)+x),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -ln( abs(sageVARx))+(-58*exp(4*exp(4)-8)-20*exp(3*exp(4)-6)-2*exp(2*exp(4)-4))* 1/2/sqrt(-exp(2*exp(4)-4)^2-20*exp(2*exp(4)-4)*exp(3*exp(4)-6)+100*exp(2*e xp(4)-4)*exp(4*exp(
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2633\)
Exception generated. \[ \int \frac {e^{\frac {4-4 x-3 x^2+2 x^3+x^4}{x-2 e^{e^8 x} x+e^{2 e^8 x} x}} \left (4+3 x^2-4 x^3-3 x^4+e^{e^8 x} \left (-4-3 x^2+4 x^3+3 x^4+e^8 \left (-8 x+8 x^2+6 x^3-4 x^4-2 x^5\right )\right )\right )}{-x^2+3 e^{e^8 x} x^2-3 e^{2 e^8 x} x^2+e^{3 e^8 x} x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-2*x^5-4*x^4+6*x^3+8*x^2-8*x)*exp(4)^2+3*x^4+4*x^3-3*x^2-4)*e xp(x*exp(4)^2)-3*x^4-4*x^3+3*x^2+4)*exp((x^4+2*x^3-3*x^2-4*x+4)/(x*exp(x*e xp(4)^2)^2-2*x*exp(x*exp(4)^2)+x))/(x^2*exp(x*exp(4)^2)^3-3*x^2*exp(x*exp( 4)^2)^2+3*x^2*exp(x*exp(4)^2)-x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-96,[2,24,5,8]%%%}+%%%{-704,[2,23,5,8]%%%}+%%%{288,[2,23,4 ,8]%%%}+%
input file name test_cases/extra_tests/361_Hebisch_1
Test file number \(361\)
Integral number in file \(2912\)
Exception generated. \[ \int \frac {e^{\frac {1+x-3 x^3-6 x^4-3 x^5}{5 e^x x^2-5 x^3}} \left (3 x+2 x^2+6 x^5+6 x^6+e^x \left (-2-2 x-x^2-3 x^3-9 x^4-3 x^5+3 x^6\right )\right )}{5 e^{2 x} x^3-10 e^x x^4+5 x^5} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((3*x^6-3*x^5-9*x^4-3*x^3-x^2-2*x-2)*exp(x)+6*x^6+6*x^5+2*x^2+3* x)*exp((-3*x^5-6*x^4-3*x^3+x+1)/(5*exp(x)*x^2-5*x^3))/(5*exp(x)^2*x^3-10*e xp(x)*x^4+5*x^5),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{6075,[1,36]%%%}+%%%{6075,[1,35]%%%}+%%%{-66825,[1,34]%%%}+ %%%{-1154
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(34\)
Exception generated. \[ \int \frac {e^{\frac {3-e^x-5 x+x^2}{x}} \left (6-5 x-x^2-x^3+e^x \left (-2+x+x^2\right )+\left (-12+e^x (4-4 x)+4 x^2\right ) \log \left (x^2\right )\right )}{4 x^2+4 x^3+x^4+\left (-16 x^2-8 x^3\right ) \log \left (x^2\right )+16 x^2 \log ^2\left (x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((4-4*x)*exp(x)+4*x^2-12)*log(x^2)+(x^2+x-2)*exp(x)-x^3-x^2-5*x +6)*exp((-exp(x)+x^2-5*x+3)/x)/(16*x^2*log(x^2)^2+(-8*x^3-16*x^2)*log(x^2) +x^4+4*x^3+4*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-4,[0,1,9]%%%}+%%%{68,[0,1,8]%%%}+%%%{-320,[0,1,7]%%%}+%%% {256,[0,1
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(96\)
Exception generated. \[ \int \frac {-1000-5000 x-6200 x^2-2900 x^3-1000 x^4-1000 x^5-400 x^6+\left (200+1850 x+1600 x^2+350 x^3+300 x^4+300 x^5\right ) \log (5)+\left (-200 x-50 x^2-50 x^4\right ) \log ^2(5)+\left (-200-1850 x-1600 x^2-350 x^3-300 x^4-300 x^5+\left (400 x+100 x^2+100 x^4\right ) \log (5)\right ) \log \left (\frac {x}{4+x+x^3}\right )+\left (-200 x-50 x^2-50 x^4\right ) \log ^2\left (\frac {x}{4+x+x^3}\right )}{256 x^3+448 x^4+288 x^5+144 x^6+104 x^7+48 x^8+8 x^9+\left (-192 x^3-240 x^4-96 x^5-60 x^6-48 x^7-12 x^8\right ) \log (5)+\left (48 x^3+36 x^4+6 x^5+12 x^6+6 x^7\right ) \log ^2(5)+\left (-4 x^3-x^4-x^6\right ) \log ^3(5)+\left (192 x^3+240 x^4+96 x^5+60 x^6+48 x^7+12 x^8+\left (-96 x^3-72 x^4-12 x^5-24 x^6-12 x^7\right ) \log (5)+\left (12 x^3+3 x^4+3 x^6\right ) \log ^2(5)\right ) \log \left (\frac {x}{4+x+x^3}\right )+\left (48 x^3+36 x^4+6 x^5+12 x^6+6 x^7+\left (-12 x^3-3 x^4-3 x^6\right ) \log (5)\right ) \log ^2\left (\frac {x}{4+x+x^3}\right )+\left (4 x^3+x^4+x^6\right ) \log ^3\left (\frac {x}{4+x+x^3}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-50*x^4-50*x^2-200*x)*log(x/(x^3+x+4))^2+((100*x^4+100*x^2+400 *x)*log(5)-300*x^5-300*x^4-350*x^3-1600*x^2-1850*x-200)*log(x/(x^3+x+4))+( -50*x^4-50*x^2-200*x)*log(5)^2+(300*x^5+300*x^4+350*x^3+1600*x^2+1850*x+20 0)*log(5)-400*x^6-1000*x^5-1000*x^4-2900*x^3-6200*x^2-5000*x-1000)/((x^6+x ^4+4*x^3)*log(x/(x^3+x+4))^3+((-3*x^6-3*x^4-12*x^3)*log(5)+6*x^7+12*x^6+6* x^5+36*x^4+48*x^3)*log(x/(x^3+x+4))^2+((3*x^6+3*x^4+12*x^3)*log(5)^2+(-12* x^7-24*x^6-12*x^5-72*x^4-96*x^3)*log(5)+12*x^8+48*x^7+60*x^6+96*x^5+240*x^ 4+192*x^3)*log(x/(x^3+x+4))+(-x^6-x^4-4*x^3)*log(5)^3+(6*x^7+12*x^6+6*x^5+ 36*x^4+48*x^3)*log(5)^2+(-12*x^8-48*x^7-60*x^6-96*x^5-240*x^4-192*x^3)*log (5)+8*x^9+48*x^8+104*x^7+144*x^6+288*x^5+448*x^4+256*x^3),x, algorithm="gi ac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(124\)
Exception generated. \[ \int \frac {\left (-32+2 x^2-16 x^3+24 x^4\right ) \log \left (\frac {-16-x^2+4 x^3-4 x^4}{x}\right )+\left (-16-x^2+4 x^3-4 x^4\right ) \log ^2\left (\frac {-16-x^2+4 x^3-4 x^4}{x}\right )}{64 x^2+4 x^4-16 x^5+16 x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-4*x^4+4*x^3-x^2-16)*log((-4*x^4+4*x^3-x^2-16)/x)^2+(24*x^4-16 *x^3+2*x^2-32)*log((-4*x^4+4*x^3-x^2-16)/x))/(16*x^6-16*x^5+4*x^4+64*x^2), x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Francis algorithm failure for[-1.0, infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,inf inity,inf
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(141\)
Exception generated. \[ \int \frac {e^{5+x+\frac {e^{5+x} \left (244-40 x+4 x^2\right )}{36 x+9 e^{2 x} x+36 x^2}} \left (-976-976 x+992 x^2-144 x^3+16 x^4+e^{2 x} \left (-244-244 x+44 x^2-4 x^3\right )\right )}{144 x^2+9 e^{4 x} x^2+288 x^3+144 x^4+e^{2 x} \left (72 x^2+72 x^3\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-4*x^3+44*x^2-244*x-244)*exp(x)^2+16*x^4-144*x^3+992*x^2-976*x -976)*exp(5+x)*exp((4*x^2-40*x+244)*exp(5+x)/(9*x*exp(x)^2+36*x^2+36*x))/( 9*x^2*exp(x)^4+(72*x^3+72*x^2)*exp(x)^2+144*x^4+288*x^3+144*x^2),x, algori thm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{3962711310336,[0,19,36,2]%%%}+%%%{-974826982342656,[0,19,3 5,2]%%%}+
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(180\)
Exception generated. \[ \int \frac {\left (-18 x+2 x^3\right ) \log (5)+\left (-18-6 x+\left (-6 x^2-2 x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )+\left (54-18 x+\left (18 x^2-6 x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )+\left (9-3 x+\left (3 x^2-x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log \left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )}{\left (-81+81 x-27 x^2+3 x^3+\left (-27 x^2+27 x^3-9 x^4+x^5\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )+\left (-54+36 x-6 x^2+\left (-18 x^2+12 x^3-2 x^4\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log \left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )+\left (-9+3 x+\left (-3 x^2+x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log ^2\left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-x^3+3*x^2)*log(5)-3*x+9)*log((x^2*log(5)+3)/log(5))*log(log( (x^2*log(5)+3)/log(5))/(x^2-6*x+9))*log(log(log((x^2*log(5)+3)/log(5))/(x^ 2-6*x+9)))+((-6*x^3+18*x^2)*log(5)-18*x+54)*log((x^2*log(5)+3)/log(5))*log (log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))+((-2*x^3-6*x^2)*log(5)-6*x-18)*lo g((x^2*log(5)+3)/log(5))+(2*x^3-18*x)*log(5))/(((x^3-3*x^2)*log(5)+3*x-9)* log((x^2*log(5)+3)/log(5))*log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))*log (log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9)))^2+((-2*x^4+12*x^3-18*x^2)*lo g(5)-6*x^2+36*x-54)*log((x^2*log(5)+3)/log(5))*log(log((x^2*log(5)+3)/log( 5))/(x^2-6*x+9))*log(log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9)))+((x^5-9* x^4+27*x^3-27*x^2)*log(5)+3*x^3-27*x^2+81*x-81)*log((x^2*log(5)+3)/log(5)) *log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(188\)
Exception generated. \[ \int \frac {\left (4-4 e^4+e^8\right ) \log ^2(x)+\left (-4+2 e^4\right ) \log ^2(x) \log \left (4 x^2\right )+\log ^2(x) \log ^2\left (4 x^2\right )+e^{\frac {4}{-2+e^4+\log \left (4 x^2\right )}} \left (4-4 e^4+e^8+\left (4+4 e^4-e^8\right ) \log (x)+\left (-4+2 e^4+\left (4-2 e^4\right ) \log (x)\right ) \log \left (4 x^2\right )+(1-\log (x)) \log ^2\left (4 x^2\right )\right )}{\left (4-4 e^4+e^8\right ) \log ^2(x)+\left (-4+2 e^4\right ) \log ^2(x) \log \left (4 x^2\right )+\log ^2(x) \log ^2\left (4 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((1-log(x))*log(4*x^2)^2+((-2*exp(4)+4)*log(x)+2*exp(4)-4)*log( 4*x^2)+(-exp(4)^2+4*exp(4)+4)*log(x)+exp(4)^2-4*exp(4)+4)*exp(4/(log(4*x^2 )+exp(4)-2))+log(x)^2*log(4*x^2)^2+(2*exp(4)-4)*log(x)^2*log(4*x^2)+(exp(4 )^2-4*exp(4)+4)*log(x)^2)/(log(x)^2*log(4*x^2)^2+(2*exp(4)-4)*log(x)^2*log (4*x^2)+(exp(4)^2-4*exp(4)+4)*log(x)^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-4194304,[1,7,3,0,1]%%%}+%%%{-4194304,[1,7,2,1,1]%%%}+%%%{ 25165824,
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(383\)
Exception generated. \[ \int \frac {9 e^{2 e}+15 e^e x^2+2 x^4}{9 e^{2 e}+6 e^e x^2+x^4} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((9*exp(exp(1))^2+15*x^2*exp(exp(1))+2*x^4)/(9*exp(exp(1))^2+6*x^ 2*exp(exp(1))+x^4),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: (((9 *exp(2*exp(1)))^(1/4))^3*(sqrt((1+sin((-i)*ln(i*exp(exp(1))/exp(2*exp(1)/2 )+sqrt(1-exp(exp(1))/exp(2*exp(1)/2)*exp(exp(1))/exp(2*exp(1)/2)))))/2))^3 *sqrt(-6*exp(exp(1)
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(384\)
Exception generated. \[ \int \frac {e^{-\frac {5 x}{-3+4 e^{8-2 x} x^4}} \left (15+e^{8-2 x} \left (60 x^4-40 x^5\right )\right )}{9-24 e^{8-2 x} x^4+16 e^{16-4 x} x^8} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(((-40*x^5+60*x^4)*exp(-x+4)^2+15)*exp(-5*x/(4*x^4*exp(-x+4)^2-3) )/(16*x^8*exp(-x+4)^4-24*x^4*exp(-x+4)^2+9),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{2388 7872000,[0,38,0]%%%}+%%%{-668860416000,[0,37,0]%%%}+%%%{8695185408000,[0,3 6,0]%%%}+%%%
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(464\)
Exception generated. \[ \int \frac {e^{\frac {x^2}{9+e^{2 e^{-x+x^2 \log (x)} x}-6 x^2+x^4+e^{e^{-x+x^2 \log (x)} x} \left (6-2 x^2\right )}} \left (e^{x-x^2 \log (x)} \left (6 x+2 x^3\right )+e^{e^{-x+x^2 \log (x)} x} \left (2 e^{x-x^2 \log (x)} x-2 x^2+2 x^3-2 x^4-4 x^4 \log (x)\right )\right )}{e^{x+3 e^{-x+x^2 \log (x)} x-x^2 \log (x)}+e^{x+2 e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left (9-3 x^2\right )+e^{x+e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left (27-18 x^2+3 x^4\right )+e^{x-x^2 \log (x)} \left (27-27 x^2+9 x^4-x^6\right )} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate(((2*x*exp(-x^2*log(x)+x)-4*x^4*log(x)-2*x^4+2*x^3-2*x^2)*exp(x/e xp(-x^2*log(x)+x))+(2*x^3+6*x)*exp(-x^2*log(x)+x))*exp(x^2/(exp(x/exp(-x^2 *log(x)+x))^2+(-2*x^2+6)*exp(x/exp(-x^2*log(x)+x))+x^4-6*x^2+9))/(exp(-x^2 *log(x)+x)*exp(x/exp(-x^2*log(x)+x))^3+(-3*x^2+9)*exp(-x^2*log(x)+x)*exp(x /exp(-x^2*log(x)+x))^2+(3*x^4-18*x^2+27)*exp(-x^2*log(x)+x)*exp(x/exp(-x^2 *log(x)+x))+(-x^6+9*x^4-27*x^2+27)*exp(-x^2*log(x)+x)),x, algorithm="giac" )
Output:
Exception raised: AttributeError >> type
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(640\)
Exception generated. \[ \int \frac {-4 x-4 e^x x^2-8 x^3+\left (4+4 e^x x+8 x^2\right ) \log (x)+\left (e^x (2-2 x)+2 x^2-2 x^3+(2-2 x) \log (x)\right ) \log \left (e^x+x^2+\log (x)\right ) \log \left (\log \left (e^x+x^2+\log (x)\right )\right )}{\left (-e^x x^2-x^4+\left (e^x x-x^2+x^3\right ) \log (x)+x \log ^2(x)\right ) \log \left (e^x+x^2+\log (x)\right ) \log \left (\log \left (e^x+x^2+\log (x)\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((2-2*x)*log(x)+(2-2*x)*exp(x)-2*x^3+2*x^2)*log(log(x)+x^2+exp( x))*log(log(log(x)+x^2+exp(x)))+(4*exp(x)*x+8*x^2+4)*log(x)-4*exp(x)*x^2-8 *x^3-4*x)/(x*log(x)^2+(exp(x)*x+x^3-x^2)*log(x)-exp(x)*x^2-x^4)/log(log(x) +x^2+exp(x))/log(log(log(x)+x^2+exp(x))),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Sign error %%%{ln(w),0%%%}Sign erro r %%%{ln(w),0%%%}Done
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(683\)
Exception generated. \[ \int \frac {\left (-3 x+6 x^2-x^3+2 x^4+\left (-5 x^3+10 x^4\right ) \log (4)\right ) \log \left (-3-x^2-5 x^2 \log (4)\right )+\log \left (5-x+x^2\right ) \left (-10 x^2+2 x^3-2 x^4+\left (-50 x^2+10 x^3-10 x^4\right ) \log (4)+\left (15-3 x+8 x^2-x^3+x^4+\left (25 x^2-5 x^3+5 x^4\right ) \log (4)\right ) \log \left (-3-x^2-5 x^2 \log (4)\right )\right )}{\left (15-3 x+8 x^2-x^3+x^4+\left (25 x^2-5 x^3+5 x^4\right ) \log (4)\right ) \log ^2\left (-3-x^2-5 x^2 \log (4)\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((2*(5*x^4-5*x^3+25*x^2)*log(2)+x^4-x^3+8*x^2-3*x+15)*log(-10*x ^2*log(2)-x^2-3)+2*(-10*x^4+10*x^3-50*x^2)*log(2)-2*x^4+2*x^3-10*x^2)*log( x^2-x+5)+(2*(10*x^4-5*x^3)*log(2)+2*x^4-x^3+6*x^2-3*x)*log(-10*x^2*log(2)- x^2-3))/(2*(5*x^4-5*x^3+25*x^2)*log(2)+x^4-x^3+8*x^2-3*x+15)/log(-10*x^2*l og(2)-x^2-3)^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(880\)
Exception generated. \[ \int \frac {-4 e^{10 x}-80 e^{8 x} x-640 e^{6 x} x^2-2560 e^{4 x} x^3-5120 e^{2 x} x^4-4096 x^5+e^{\frac {65536 x^2+25 e^{8 x} x^2+400 e^{6 x} x^3-40960 x^4+6400 x^6+e^{4 x} \left (-2560 x^2+2400 x^4\right )+e^{2 x} \left (-20480 x^3+6400 x^5\right )}{e^{8 x}+16 e^{6 x} x+96 e^{4 x} x^2+256 e^{2 x} x^3+256 x^4}} \left (-1572864 x^4+6144 x^6+153600 x^8+e^{10 x} \left (6 x+150 x^3\right )+e^{8 x} \left (120 x^2+3000 x^4\right )+e^{6 x} \left (-14400 x^3+30720 x^4+24000 x^5\right )+e^{4 x} \left (-119040 x^4+245760 x^5+96000 x^6\right )+e^{2 x} \left (393216 x^3-1572864 x^4-238080 x^5+491520 x^6+192000 x^7\right )\right )}{3 e^{10 x}+60 e^{8 x} x+480 e^{6 x} x^2+1920 e^{4 x} x^3+3840 e^{2 x} x^4+3072 x^5} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((150*x^3+6*x)*exp(x)^10+(3000*x^4+120*x^2)*exp(x)^8+(24000*x^5 +30720*x^4-14400*x^3)*exp(x)^6+(96000*x^6+245760*x^5-119040*x^4)*exp(x)^4+ (192000*x^7+491520*x^6-238080*x^5-1572864*x^4+393216*x^3)*exp(x)^2+153600* x^8+6144*x^6-1572864*x^4)*exp((25*x^2*exp(x)^8+400*x^3*exp(x)^6+(2400*x^4- 2560*x^2)*exp(x)^4+(6400*x^5-20480*x^3)*exp(x)^2+6400*x^6-40960*x^4+65536* x^2)/(exp(x)^8+16*x*exp(x)^6+96*x^2*exp(x)^4+256*exp(x)^2*x^3+256*x^4))-4* exp(x)^10-80*x*exp(x)^8-640*x^2*exp(x)^6-2560*x^3*exp(x)^4-5120*exp(x)^2*x ^4-4096*x^5)/(3*exp(x)^10+60*x*exp(x)^8+480*x^2*exp(x)^6+1920*x^3*exp(x)^4 +3840*exp(x)^2*x^4+3072*x^5),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-289480223093290488558927462521719769633174961664101410098 643960019
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(1163\)
Exception generated. \[ \int \frac {e^{\frac {2 \left (-e^6+x+4 e^3 x-4 x^2+\left (2+e^6-x-4 e^3 x+4 x^2+\left (e^6 x-x^2-4 e^3 x^2+4 x^3\right ) \log (4)\right ) \log (x)\right )}{-1+(1+x \log (4)) \log (x)}} \left (-4-2 x-8 e^3 x+16 x^2+\left (4 x+16 e^3 x-32 x^2+\left (4 x^2+16 e^3 x^2-32 x^3\right ) \log (4)\right ) \log (x)+\left (-2 x-8 e^3 x+16 x^2+\left (-4 x-4 x^2-16 e^3 x^2+32 x^3\right ) \log (4)+\left (-2 x^3-8 e^3 x^3+16 x^4\right ) \log ^2(4)\right ) \log ^2(x)\right )}{x+\left (-2 x-2 x^2 \log (4)\right ) \log (x)+\left (x+2 x^2 \log (4)+x^3 \log ^2(4)\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((4*(-8*x^3*exp(3)+16*x^4-2*x^3)*log(2)^2+2*(-16*x^2*exp(3)+32*x ^3-4*x^2-4*x)*log(2)-8*x*exp(3)+16*x^2-2*x)*log(x)^2+(2*(16*x^2*exp(3)-32* x^3+4*x^2)*log(2)+16*x*exp(3)-32*x^2+4*x)*log(x)-8*x*exp(3)+16*x^2-2*x-4)* exp(((2*(x*exp(3)^2-4*x^2*exp(3)+4*x^3-x^2)*log(2)+exp(3)^2-4*x*exp(3)+4*x ^2-x+2)*log(x)-exp(3)^2+4*x*exp(3)-4*x^2+x)/((2*x*log(2)+1)*log(x)-1))^2/( (4*x^3*log(2)^2+4*x^2*log(2)+x)*log(x)^2+(-4*x^2*log(2)-2*x)*log(x)+x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{4194304,[0,20,16,0,1]%%%}+%%%{46137344,[0,19,15,0,1]%%%}+% %%{229638
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(1209\)
Exception generated. \[ \int e^{-x+2 e^{-x} \left (-x+e^x \left (x+781250 x^2 \log (4)\right )\right )} \left (-2+2 x+e^x (2+3125000 x \log (4))\right ) \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((6250000*x*log(2)+2)*exp(x)+2*x-2)*exp(((1562500*x^2*log(2)+x)* exp(x)-x)/exp(x))^2/exp(x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(1407\)
Exception generated. \[ \int \frac {e^{-262144 (4-x)} (-16+(16+4194304 x) \log (x))}{\log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((4194304*x+16)*log(x)-16)/log(x)^2/exp(-262144*x+1048576),x, al gorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(1774\)
Exception generated. \[ \int \frac {e^{\frac {144 x^2-e^{4 x^2} x^2-288 x^3-2 e^{2 x^2} x^3+143 x^4+\left (288 x-288 x^2\right ) \log (x)+144 \log ^2(x)}{9 e^{4 x^2}+18 e^{2 x^2} x+9 x^2}} \left (288 x^2-2 e^{6 x^2} x^2-288 x^3-6 e^{4 x^2} x^3-288 x^4+286 x^5+e^{2 x^2} \left (288 x-864 x^3-582 x^4+2304 x^5-1152 x^6\right )+\left (288 x-288 x^2+e^{2 x^2} \left (288+288 x-576 x^2-2304 x^3+2304 x^4\right )\right ) \log (x)+\left (-288 x-1152 e^{2 x^2} x^2\right ) \log ^2(x)\right )}{9 e^{6 x^2} x+27 e^{4 x^2} x^2+27 e^{2 x^2} x^3+9 x^4} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-1152*x^2*exp(x^2)^2-288*x)*log(x)^2+((2304*x^4-2304*x^3-576*x ^2+288*x+288)*exp(x^2)^2-288*x^2+288*x)*log(x)-2*x^2*exp(x^2)^6-6*x^3*exp( x^2)^4+(-1152*x^6+2304*x^5-582*x^4-864*x^3+288*x)*exp(x^2)^2+286*x^5-288*x ^4-288*x^3+288*x^2)*exp((144*log(x)^2+(-288*x^2+288*x)*log(x)-x^2*exp(x^2) ^4-2*x^3*exp(x^2)^2+143*x^4-288*x^3+144*x^2)/(9*exp(x^2)^4+18*x*exp(x^2)^2 +9*x^2))/(9*x*exp(x^2)^6+27*x^2*exp(x^2)^4+27*x^3*exp(x^2)^2+9*x^4),x, alg orithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-339738624,[2,9,18]%%%}+%%%{339738624,[2,9,16]%%%}+%%%{-12 7401984,[
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2070\)
Exception generated. \[ \int \frac {36 x^6-36 x^7+8 x^8+e^e \left (-64+180 x^6-144 x^7+4 x^8+8 x^9\right )+e^{2 e} \left (-160-40 x+225 x^6-135 x^7-31 x^8+11 x^9+2 x^{10}\right )}{32 x^5+e^e \left (160 x^5+32 x^6\right )+e^{2 e} \left (200 x^5+80 x^6+8 x^7\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(((2*x^10+11*x^9-31*x^8-135*x^7+225*x^6-40*x-160)*exp(exp(1))^2+( 8*x^9+4*x^8-144*x^7+180*x^6-64)*exp(exp(1))+8*x^8-36*x^7+36*x^6)/((8*x^7+8 0*x^6+200*x^5)*exp(exp(1))^2+(32*x^6+160*x^5)*exp(exp(1))+32*x^5),x, algor ithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 1/8* ((1/2*sageVARx^4*exp(2*exp(1))^4-3*sageVARx^3*exp(2*exp(1))^4+9/2*sageVARx ^2*exp(2*exp(1))^4)/exp(2*exp(1))^4+((-375000*exp(2*exp(1))^5-900000*exp(2 *exp(1))^4*exp(exp(
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2113\)
Exception generated. \[ \int \frac {8-2 x+6 x^2+\left (4+x-x^2\right ) \log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right ) \log \left (\log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right )\right )}{\left (-4 x^2-x^3+x^4\right ) \log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-x^2+x+4)*log(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-16 0*x^2+256*x+256)/x^2)*log(log(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^ 3-160*x^2+256*x+256)/x^2))+6*x^2-2*x+8)/(x^4-x^3-4*x^2)/log(1/128*(x^8-4*x ^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2),x, algorithm="giac ")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:simplify: Polynomials do not have t he same dimension Error: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2379\)
Exception generated. \[ \int \frac {2 e^x+e^{1+e^{-x} x} \left (x-x^2\right ) \log (x) \log \left (125 e^2 \log ^2(x)\right )}{e^{1+x+e^{-x} x} x \log (x) \log \left (125 e^2 \log ^2(x)\right )+e^x x \log (x) \log \left (125 e^2 \log ^2(x)\right ) \log \left (\log \left (125 e^2 \log ^2(x)\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-x^2+x)*exp(1)*log(x)*exp(x/exp(x))*log(125*exp(2)*log(x)^2)+2 *exp(x))/(x*exp(x)*log(x)*log(125*exp(2)*log(x)^2)*log(log(125*exp(2)*log( x)^2))+x*exp(1)*exp(x)*log(x)*exp(x/exp(x))*log(125*exp(2)*log(x)^2)),x, a lgorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:ln of unsigned or minus infinity Er ror: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2593\)
Exception generated. \[ \int \frac {2 e^{e^4+e^e}+e^{e^4} (-20-8 x)}{300 x^2+120 x^3+12 x^4+e^{2 e^e} \left (75+30 x+3 x^2\right )+e^{e^e} \left (-300 x-120 x^2-12 x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((2*exp(exp(4))*exp(exp(exp(1)))+(-8*x-20)*exp(exp(4)))/((3*x^2+3 0*x+75)*exp(exp(exp(1)))^2+(-12*x^3-120*x^2-300*x)*exp(exp(exp(1)))+12*x^4 +120*x^3+300*x^2),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -2/3 *((-2*exp(2*exp(exp(1)))*exp(exp(4))-20*exp(exp(exp(1)))*exp(exp(4))+2*exp (exp(exp(1)))*exp(exp(4)+exp(exp(1)))+20*exp(exp(4)+exp(exp(1))))/(exp(2*e xp(exp(1)))^2+40*ex
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2706\)
Exception generated. \[ \int \frac {4 e^{e^{\log ^2\left (\frac {9+6 x+x^2}{e^6}\right )}+\log ^2\left (\frac {9+6 x+x^2}{e^6}\right )} \log \left (\frac {9+6 x+x^2}{e^6}\right )}{\left (12+4 x+e^{e^{\log ^2\left (\frac {9+6 x+x^2}{e^6}\right )}} (3+x)\right ) \log \left (4+e^{e^{\log ^2\left (\frac {9+6 x+x^2}{e^6}\right )}}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(4*log((x^2+6*x+9)/exp(3)^2)*exp(log((x^2+6*x+9)/exp(3)^2)^2)*exp (exp(log((x^2+6*x+9)/exp(3)^2)^2))/((3+x)*exp(exp(log((x^2+6*x+9)/exp(3)^2 )^2))+4*x+12)/log(exp(exp(log((x^2+6*x+9)/exp(3)^2)^2))+4),x, algorithm="g iac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Taylor sign with unsigned limit Err or: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2795\)
Exception generated. \[ \int \frac {e^{-\frac {8 x^2}{e^{2 x}-2 e^x x+x^2}} \left (e^{3 x} (1-x)-x^3+x^4+e^{2 x} \left (-3 x+3 x^2\right )+e^x \left (3 x^2-3 x^3\right )+\left (e^x \left (16 x^3-16 x^4\right )+e^x \left (-16 x^2+16 x^3\right ) \log (x)\right ) \log (-x+\log (x))\right )}{-e^{3 x} x^2+3 e^{2 x} x^3-3 e^x x^4+x^5+\left (e^{3 x} x-3 e^{2 x} x^2+3 e^x x^3-x^4\right ) \log (x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((16*x^3-16*x^2)*exp(x)*log(x)+(-16*x^4+16*x^3)*exp(x))*log(log (x)-x)+(1-x)*exp(x)^3+(3*x^2-3*x)*exp(x)^2+(-3*x^3+3*x^2)*exp(x)+x^4-x^3)/ ((x*exp(x)^3-3*exp(x)^2*x^2+3*exp(x)*x^3-x^4)*log(x)-x^2*exp(x)^3+3*exp(x) ^2*x^3-3*exp(x)*x^4+x^5)/exp(8*x^2/(exp(x)^2-2*exp(x)*x+x^2)),x, algorithm ="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-16,[1,23,7]%%%}+%%%{64,[1,23,6]%%%}+%%%{-96,[1,23,5]%%%}+ %%%{64,[1
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2841\)
Exception generated. \[ \int \frac {\left (18 e^{\frac {1}{x}+2 x} x^2+180 e^{\frac {1}{x}} x^3+e^{\frac {1}{x}+x} \left (90 x^2+36 x^3\right )\right ) \log \left (\frac {1}{3} \left (e^x+x^2\right )\right )+\left (-45 e^{\frac {1}{x}} x^2+e^{\frac {1}{x}+2 x} \left (-9+9 x^2\right )+e^{\frac {1}{x}+x} \left (-45-9 x^2+9 x^4\right )\right ) \log ^2\left (\frac {1}{3} \left (e^x+x^2\right )\right )}{e^x x^2+x^4} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((9*x^2-9)*exp(1/x)*exp(x)^2+(9*x^4-9*x^2-45)*exp(1/x)*exp(x)-4 5*x^2*exp(1/x))*log(1/3*x^2+1/3*exp(x))^2+(18*x^2*exp(1/x)*exp(x)^2+(36*x^ 3+90*x^2)*exp(1/x)*exp(x)+180*x^3*exp(1/x))*log(1/3*x^2+1/3*exp(x)))/(exp( x)*x^2+x^4),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-1,[0,14]%%%}+%%%{4,[0,13]%%%}+%%%{-3,[0,12]%%%}+%%%{-4,[0 ,11]%%%}+
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2858\)
Exception generated. \[ \int \frac {164-36 e^4+32 x+e^x \left (48+4 x-2 x^2+e^4 (-12+2 x)\right )+\left (16-4 e^4+4 x\right ) \log \left (4-e^4+x\right )}{-256+e^{2 x} \left (-4+e^4-x\right )-192 x-48 x^2-4 x^3+e^4 \left (64+32 x+4 x^2\right )+e^x \left (-64-32 x-4 x^2+e^4 (16+4 x)\right )+\left (-128+e^x \left (-16+4 e^4-4 x\right )-64 x-8 x^2+e^4 (32+8 x)\right ) \log \left (4-e^4+x\right )+\left (-16+4 e^4-4 x\right ) \log ^2\left (4-e^4+x\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-4*exp(4)+4*x+16)*log(4-exp(4)+x)+((2*x-12)*exp(4)-2*x^2+4*x+4 8)*exp(x)-36*exp(4)+32*x+164)/((4*exp(4)-16-4*x)*log(4-exp(4)+x)^2+((4*exp (4)-16-4*x)*exp(x)+(8*x+32)*exp(4)-8*x^2-64*x-128)*log(4-exp(4)+x)+(exp(4) -x-4)*exp(x)^2+((4*x+16)*exp(4)-4*x^2-32*x-64)*exp(x)+(4*x^2+32*x+64)*exp( 4)-4*x^3-48*x^2-192*x-256),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2906\)
Exception generated. \[ \int \frac {6 e^{8 e^{1171875/x}} x+6 x^3+e^{4 e^{1171875/x}} \left (-9375000 e^{1171875/x}-2 x+12 x^2\right )+\left (6 e^{8 e^{1171875/x}} x-2 x^2+6 x^3+e^{4 e^{1171875/x}} \left (-2 x+12 x^2\right )\right ) \log \left (\frac {x-3 e^{4 e^{1171875/x}} x-3 x^2}{3 e^{4 e^{1171875/x}}+3 x}\right )}{3 e^{8 e^{1171875/x}} x-x^2+3 x^3+e^{4 e^{1171875/x}} \left (-x+6 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((6*x*exp(4*exp(1171875/x))^2+(12*x^2-2*x)*exp(4*exp(1171875/x)) +6*x^3-2*x^2)*log((-3*x*exp(4*exp(1171875/x))-3*x^2+x)/(3*exp(4*exp(117187 5/x))+3*x))+6*x*exp(4*exp(1171875/x))^2+(-9375000*exp(1171875/x)+12*x^2-2* x)*exp(4*exp(1171875/x))+6*x^3)/(3*x*exp(4*exp(1171875/x))^2+(6*x^2-x)*exp (4*exp(1171875/x))+3*x^3-x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2940\)
Exception generated. \[ \int \frac {e^{\frac {8-8 x-8 x^3+8 x^4+e^{2 x} \left (-8 x^2+8 x^3\right )}{e^{2 x} x^2+x^3}} \left (-24 x+16 x^2+8 e^{4 x} x^3+8 x^5+e^{2 x} \left (-16-8 x+16 x^2+16 x^4\right )\right )}{e^{4 x} x^3+2 e^{2 x} x^4+x^5} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((8*x^3*exp(x)^4+(16*x^4+16*x^2-8*x-16)*exp(x)^2+8*x^5+16*x^2-24* x)*exp(((8*x^3-8*x^2)*exp(x)^2+8*x^4-8*x^3-8*x+8)/(exp(x)^2*x^2+x^3))/(x^3 *exp(x)^4+2*exp(x)^2*x^4+x^5),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{512,[1,17]%%%}+%%%{-2048,[1,16]%%%}+%%%{2816,[1,15]%%%}+%% %{-6752,[
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(50\)
Exception generated. \[ \int \frac {-80 e^2-64 x+e^x \left (8 x^3+4 x^4+e^2 \left (4 x^2+4 x^3\right )\right )+\left (144 e^2+136 x+e^x \left (-6 x^3-4 x^4+e^2 \left (-4 x^2-4 x^3\right )\right )\right ) \log \left (e^2+x\right )+\left (-100 e^2-100 x+e^x \left (x^3+x^4+e^2 \left (x^2+x^3\right )\right )\right ) \log ^2\left (e^2+x\right )+\left (32 e^2+32 x\right ) \log ^3\left (e^2+x\right )+\left (-4 e^2-4 x\right ) \log ^4\left (e^2+x\right )}{400 e^2+400 x+e^x \left (40 e^2 x^2+40 x^3\right )+e^{2 x} \left (e^2 x^4+x^5\right )+\left (-640 e^2-640 x+e^x \left (-32 e^2 x^2-32 x^3\right )\right ) \log \left (e^2+x\right )+\left (416 e^2+416 x+e^x \left (8 e^2 x^2+8 x^3\right )\right ) \log ^2\left (e^2+x\right )+\left (-128 e^2-128 x\right ) \log ^3\left (e^2+x\right )+\left (16 e^2+16 x\right ) \log ^4\left (e^2+x\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-4*exp(2)-4*x)*log(x+exp(2))^4+(32*exp(2)+32*x)*log(x+exp(2))^ 3+(((x^3+x^2)*exp(2)+x^4+x^3)*exp(x)-100*exp(2)-100*x)*log(x+exp(2))^2+((( -4*x^3-4*x^2)*exp(2)-4*x^4-6*x^3)*exp(x)+144*exp(2)+136*x)*log(x+exp(2))+( (4*x^3+4*x^2)*exp(2)+4*x^4+8*x^3)*exp(x)-80*exp(2)-64*x)/((16*exp(2)+16*x) *log(x+exp(2))^4+(-128*exp(2)-128*x)*log(x+exp(2))^3+((8*x^2*exp(2)+8*x^3) *exp(x)+416*exp(2)+416*x)*log(x+exp(2))^2+((-32*x^2*exp(2)-32*x^3)*exp(x)- 640*exp(2)-640*x)*log(x+exp(2))+(x^4*exp(2)+x^5)*exp(x)^2+(40*x^2*exp(2)+4 0*x^3)*exp(x)+400*exp(2)+400*x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(464\)
Exception generated. \[ \int \frac {-27+3 e^{256}-36 x^3+\left (27-3 e^{256}+9 x-18 x^3\right ) \log (x)+\left (-27+3 e^{256}-9 x+18 x^3\right ) \log \left (\frac {1}{3} \left (-9+e^{256}-3 x+6 x^3\right )\right )}{\left (-9+e^{256}-3 x+6 x^3\right ) \log ^2(x)+\left (18-2 e^{256}+6 x-12 x^3\right ) \log (x) \log \left (\frac {1}{3} \left (-9+e^{256}-3 x+6 x^3\right )\right )+\left (-9+e^{256}-3 x+6 x^3\right ) \log ^2\left (\frac {1}{3} \left (-9+e^{256}-3 x+6 x^3\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((3*exp(256)+18*x^3-9*x-27)*log(1/3*exp(256)+2*x^3-x-3)+(-3*exp( 256)-18*x^3+9*x+27)*log(x)+3*exp(256)-36*x^3-27)/((exp(256)+6*x^3-3*x-9)*l og(1/3*exp(256)+2*x^3-x-3)^2+(-2*exp(256)-12*x^3+6*x+18)*log(x)*log(1/3*ex p(256)+2*x^3-x-3)+(exp(256)+6*x^3-3*x-9)*log(x)^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Francis algorithm failure for[-1.0, 0.0,1.23157876138e+243,undef]proot error [1.0,-0.0,-1.23157876138e+243,und ef]Franci
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(657\)
Exception generated. \[ \int \frac {\left (-6-60 x+24 x^2+e^x \left (-12 x-12 x^2\right )\right ) \log ^2(x)+\left (\left (2+20 x-8 x^2+e^x \left (4 x+4 x^2\right )\right ) \log (x)+\left (\left (60 x+12 e^x x-12 x^2\right ) \log (x)+6 \log ^2(x)\right ) \log \left (10 x+2 e^x x-2 x^2+\log (x)\right )\right ) \log \left (\log \left (10 x+2 e^x x-2 x^2+\log (x)\right )\right )+\left (-20 x-4 e^x x+4 x^2-2 \log (x)\right ) \log \left (10 x+2 e^x x-2 x^2+\log (x)\right ) \log ^2\left (\log \left (10 x+2 e^x x-2 x^2+\log (x)\right )\right )}{\left (\left (10 x^2+2 e^x x^2-2 x^3\right ) \log ^3(x)+x \log ^4(x)\right ) \log \left (10 x+2 e^x x-2 x^2+\log (x)\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-2*log(x)-4*exp(x)*x+4*x^2-20*x)*log(log(x)+2*exp(x)*x-2*x^2+1 0*x)*log(log(log(x)+2*exp(x)*x-2*x^2+10*x))^2+((6*log(x)^2+(12*exp(x)*x-12 *x^2+60*x)*log(x))*log(log(x)+2*exp(x)*x-2*x^2+10*x)+((4*x^2+4*x)*exp(x)-8 *x^2+20*x+2)*log(x))*log(log(log(x)+2*exp(x)*x-2*x^2+10*x))+((-12*x^2-12*x )*exp(x)+24*x^2-60*x-6)*log(x)^2)/(x*log(x)^4+(2*exp(x)*x^2-2*x^3+10*x^2)* log(x)^3)/log(log(x)+2*exp(x)*x-2*x^2+10*x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Sign error %%%{ln(w),0%%%}Sign erro r %%%{ln(w),0%%%}Sign error %%%{ln(w),0%%%}Done
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(684\)
Exception generated. \[ \int \frac {e^{\frac {x}{2-x+\log (2)}} (-2 x-x \log (2))+\frac {e^{450+\frac {x}{2-x+\log (2)}+50 \log ^2\left (x^2\right )} (-2 x-x \log (2))}{x^{600}}+\frac {e^{225+25 \log ^2\left (x^2\right )} \left (600-600 x+150 x^2+(600-300 x) \log (2)+150 \log ^2(2)+e^{\frac {x}{2-x+\log (2)}} (4 x+2 x \log (2))+\left (-200+200 x-50 x^2+(-200+100 x) \log (2)-50 \log ^2(2)\right ) \log \left (x^2\right )\right )}{x^{300}}}{4 x-4 x^2+x^3+\left (4 x-2 x^2\right ) \log (2)+x \log ^2(2)+\frac {e^{225+25 \log ^2\left (x^2\right )} \left (-8 x+8 x^2-2 x^3+\left (-8 x+4 x^2\right ) \log (2)-2 x \log ^2(2)\right )}{x^{300}}+\frac {e^{450+50 \log ^2\left (x^2\right )} \left (4 x-4 x^2+x^3+\left (4 x-2 x^2\right ) \log (2)+x \log ^2(2)\right )}{x^{600}}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-x*log(2)-2*x)*exp(x/(log(2)+2-x))*exp(25*log(x^2)^2-150*log(x ^2)+225)^2+((-50*log(2)^2+(100*x-200)*log(2)-50*x^2+200*x-200)*log(x^2)+(2 *x*log(2)+4*x)*exp(x/(log(2)+2-x))+150*log(2)^2+(-300*x+600)*log(2)+150*x^ 2-600*x+600)*exp(25*log(x^2)^2-150*log(x^2)+225)+(-x*log(2)-2*x)*exp(x/(lo g(2)+2-x)))/((x*log(2)^2+(-2*x^2+4*x)*log(2)+x^3-4*x^2+4*x)*exp(25*log(x^2 )^2-150*log(x^2)+225)^2+(-2*x*log(2)^2+(4*x^2-8*x)*log(2)-2*x^3+8*x^2-8*x) *exp(25*log(x^2)^2-150*log(x^2)+225)+x*log(2)^2+(-2*x^2+4*x)*log(2)+x^3-4* x^2+4*x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-24000000,[0,3,915,1,1]%%%}+%%%{-48000000,[0,3,915,0,1]%%% }+%%%{264
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(767\)
Exception generated. \[ \int \frac {\left (4 x-10 x^2+6 x^3\right ) \log ^2(x)+e^{\frac {-x+x^2+5 \log (x)}{(-1+x) \log (x)}} \left (-x+2 x^2-x^3+\left (x-2 x^2+x^3\right ) \log (x)+\left (1-8 x+2 x^2\right ) \log ^2(x)\right )}{(-1+x) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((2*x^2-8*x+1)*log(x)^2+(x^3-2*x^2+x)*log(x)-x^3+2*x^2-x)*exp(( 5*log(x)+x^2-x)/(-1+x)/log(x))+(6*x^3-10*x^2+4*x)*log(x)^2)/(-1+x)/log(x)^ 2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{4,[1,28]%%%}+%%%{-74,[1,27]%%%}+%%%{630,[1,26]%%%}+%%%{-32 90,[1,25]
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(770\)
Exception generated. \[ \int \frac {\left (-e^{2 x}+3 e^x x-2 x^2\right ) \log \left (\frac {e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right )+\left (e^{2 x}-3 e^x x+2 x^3\right ) \log (x) \log (\log (x))+\left (e^{2 x}-3 e^x x+2 x^2\right ) \log (x) \log \left (\frac {e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right ) \log (\log (x)) \log \left (\frac {\log \left (\frac {e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right )}{\log (\log (x))}\right )}{\left (e^{2 x}-3 e^x x+2 x^2\right ) \log (x) \log \left (\frac {e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}\right ) \log (\log (x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((exp(x)^2-3*exp(x)*x+2*x^2)*log(x)*log((x*exp(x)^2-2*exp(x)*x^2 )/(exp(x)^2-2*exp(x)*x+x^2))*log(log(x))*log(log((x*exp(x)^2-2*exp(x)*x^2) /(exp(x)^2-2*exp(x)*x+x^2))/log(log(x)))+(exp(x)^2-3*exp(x)*x+2*x^3)*log(x )*log(log(x))+(-exp(x)^2+3*exp(x)*x-2*x^2)*log((x*exp(x)^2-2*exp(x)*x^2)/( exp(x)^2-2*exp(x)*x+x^2)))/(exp(x)^2-3*exp(x)*x+2*x^2)/log(x)/log((x*exp(x )^2-2*exp(x)*x^2)/(exp(x)^2-2*exp(x)*x+x^2))/log(log(x)),x, algorithm="gia c")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(890\)
Exception generated. \[ \int \frac {e^{\frac {67837+6 x-3 x^2}{768 x}} \left (-67837-3 x^2\right )}{3072 x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/3072*(-3*x^2-67837)*exp(1/768*(-3*x^2+6*x+67837)/x)/x^2,x, alg orithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(897\)
Exception generated. \[ \int \frac {\left (4+4 x+4 e^x x\right ) \log ^3\left (5+e^x+x+\log (x)\right )}{20 x+4 e^x x+4 x^2+4 x \log (x)+\left (5 x+e^x x+x^2+x \log (x)\right ) \log ^4\left (5+e^x+x+\log (x)\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((4*exp(x)*x+4*x+4)*log(log(x)+exp(x)+5+x)^3/((x*log(x)+exp(x)*x+ x^2+5*x)*log(log(x)+exp(x)+5+x)^4+4*x*log(x)+4*exp(x)*x+4*x^2+20*x),x, alg orithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Sign error %%%{ln(w),0%%%}Sign erro r %%%{ln(w),0%%%}Sign error %%%{ln(w),0%%%}Sign error %%%{ln(w),0%%%}Sign error %%%
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(956\)
Exception generated. \[ \int \frac {e^{2 e^4} x^2-10 e^{3 e^4} x^2+25 e^{4 e^4} x^2-2 x \log (36)+10 e^{e^4} x \log (36)}{e^{4 e^4} x^2-10 e^{5 e^4} x^2+25 e^{6 e^4} x^2-2 e^{2 e^4} x \log (36)+10 e^{3 e^4} x \log (36)+\log ^2(36)} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((25*x^2*exp(exp(4))^4-10*x^2*exp(exp(4))^3+x^2*exp(exp(4))^2+20* x*log(6)*exp(exp(4))-4*x*log(6))/(25*x^2*exp(exp(4))^6-10*x^2*exp(exp(4))^ 5+x^2*exp(exp(4))^4+20*x*log(6)*exp(exp(4))^3-4*x*log(6)*exp(exp(4))^2+4*l og(6)^2),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: (250 *exp(6*exp(4))*ln(6)*exp(exp(4))-50*exp(6*exp(4))*ln(6)-100*exp(5*exp(4))* ln(6)*exp(exp(4))+20*exp(5*exp(4))*ln(6)-250*exp(4*exp(4))*exp(3*exp(4))*l n(6)+50*exp(4*exp(4
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1035\)
Exception generated. \[ \int \frac {e^{e^{x^2}+x^{\frac {1}{x}}} \left (250 x-500 e^{x^2} x^3+x^{\frac {1}{x}} (-250+250 \log (x))\right )}{125 e^{3 e^{x^2}+3 x^{\frac {1}{x}}}-1050 e^{2 e^{x^2}+2 x^{\frac {1}{x}}} x+2940 e^{e^{x^2}+x^{\frac {1}{x}}} x^2-2744 x^3} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(((250*log(x)-250)*exp(log(x)/x)-500*x^3*exp(x^2)+250*x)*exp(exp( log(x)/x)+exp(x^2))/(125*exp(exp(log(x)/x)+exp(x^2))^3-1050*x*exp(exp(log( x)/x)+exp(x^2))^2+2940*x^2*exp(exp(log(x)/x)+exp(x^2))-2744*x^3),x, algori thm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: Exch ange 57736848 31 Vector [13,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,4] 70 Vector [13,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1 ,1,1,1,1,1,1,4] 70/
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1172\)
Exception generated. \[ \int \frac {\left (\frac {-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))}\right )^x \left (5-x+e^x (-1-\log (4))+\left (-5+2 x+e^x (1+x+(1+x) \log (4))\right ) \log (x \log (4))+\left (-5+x+e^x (1+\log (4))\right ) \log (x \log (4)) \log \left (\frac {-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))}\right )\right )}{\left (-5+x+e^x (1+\log (4))\right ) \log (x \log (4))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((1+2*log(2))*exp(x)+x-5)*log(2*x*log(2))*log(((x+2*x*log(2))*e xp(x)+x^2-5*x)/log(2*x*log(2)))+((2*log(2)*(1+x)+x+1)*exp(x)+2*x-5)*log(2* x*log(2))+(-1-2*log(2))*exp(x)+5-x)*exp(x*log(((x+2*x*log(2))*exp(x)+x^2-5 *x)/log(2*x*log(2))))/((1+2*log(2))*exp(x)+x-5)/log(2*x*log(2)),x, algorit hm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{1,[0,1,2,0,0]%%%}+%%%{2,[0,1,1,1,1]%%%}+%%%{2,[0,1,1,1,0]% %%} / %%%
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1440\)
Exception generated. \[ \int \frac {e^{225/x} \left (2 x-x^9\right )+e^{225/x} \left (-450+2 x+225 x^8+7 x^9\right ) \log (x)}{4 x-4 x^9+x^{17}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((7*x^9+225*x^8+2*x-450)*exp(225/x)*log(x)+(-x^9+2*x)*exp(225/x) )/(x^17-4*x^9+4*x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Polynomial exponent overflow. Error : Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1454\)
Exception generated. \[ \int \frac {2 e^{e^3} x-12 x^6-50398 x^7-77752800 x^8-52478280000 x^9-13116168000000 x^{10}+1312200000000 x^{11}+\left (-2 e^{e^3}+12 x^5+50398 x^6+77752800 x^7+52478280000 x^8+13116168000000 x^9-1312200000000 x^{10}\right ) \log \left (2 e^{e^3}+2 x^6+7200 x^7+9720000 x^8+5832000000 x^9+1312200000000 x^{10}\right )}{e^{e^3}+x^6+3600 x^7+4860000 x^8+2916000000 x^9+656100000000 x^{10}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-2*exp(exp(3))-1312200000000*x^10+13116168000000*x^9+524782800 00*x^8+77752800*x^7+50398*x^6+12*x^5)*log(2*exp(exp(3))+1312200000000*x^10 +5832000000*x^9+9720000*x^8+7200*x^7+2*x^6)+2*x*exp(exp(3))+1312200000000* x^11-13116168000000*x^10-52478280000*x^9-77752800*x^8-50398*x^7-12*x^6)/(e xp(exp(3))+656100000000*x^10+2916000000*x^9+4860000*x^8+3600*x^7+x^6),x, a lgorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Francis algorithm failure for[1.0,0 .0,infinity,infinity,infinity,infinity,infinity,infinity,infinity,infinity ,infinity
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1581\)
Exception generated. \[ \int \frac {48 x^3+3 x^5+\left (-144 x^2-9 x^4\right ) \log (x)+\left (144 x+9 x^3\right ) \log ^2(x)+\left (-48-3 x^2\right ) \log ^3(x)+e^{\frac {2 \left (3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x)\right )}{x^2-2 x \log (x)+\log ^2(x)}} \left (12 x^2+x^3+12 x^5+\left (-15 x^2-36 x^4\right ) \log (x)+\left (3 x+36 x^3\right ) \log ^2(x)+\left (-1-12 x^2\right ) \log ^3(x)\right )+e^{\frac {3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}} \left (12 x^3+4 x^4+12 x^6+\left (-24 x^3-36 x^5\right ) \log (x)+\left (12 x^2+36 x^4\right ) \log ^2(x)+\left (-4 x-12 x^3\right ) \log ^3(x)\right )}{-16 x^3+48 x^2 \log (x)-48 x \log ^2(x)+16 \log ^3(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-12*x^2-1)*log(x)^3+(36*x^3+3*x)*log(x)^2+(-36*x^4-15*x^2)*lo g(x)+12*x^5+x^3+12*x^2)*exp((3*x^2*log(x)^2-6*x^3*log(x)+3*x^4+3*x^2)/(log (x)^2-2*x*log(x)+x^2))^2+((-12*x^3-4*x)*log(x)^3+(36*x^4+12*x^2)*log(x)^2+ (-36*x^5-24*x^3)*log(x)+12*x^6+4*x^4+12*x^3)*exp((3*x^2*log(x)^2-6*x^3*log (x)+3*x^4+3*x^2)/(log(x)^2-2*x*log(x)+x^2))+(-3*x^2-48)*log(x)^3+(9*x^3+14 4*x)*log(x)^2+(-9*x^4-144*x^2)*log(x)+3*x^5+48*x^3)/(16*log(x)^3-48*x*log( x)^2+48*x^2*log(x)-16*x^3),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{62208,[2,38]%%%}+%%%{-808704,[2,37]%%%}+%%%{4852224,[2,36] %%%}+%%%{
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1778\)
Exception generated. \[ \int \frac {10 e^x+e^{2 x-x^2+\frac {1}{10} \left (-30+e^{2 x-x^2} x\right )} \left (-1-2 x+2 x^2\right )}{20 e^{2 x}+20 e^{\frac {1}{5} \left (-30+e^{2 x-x^2} x\right )}-40 e^x \log (2)+20 \log ^2(2)+e^{\frac {1}{10} \left (-30+e^{2 x-x^2} x\right )} \left (-40 e^x+40 \log (2)\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((2*x^2-2*x-1)*exp(-x^2+2*x)*exp(1/10*x*exp(-x^2+2*x)-3)+10*exp( x))/(20*exp(1/10*x*exp(-x^2+2*x)-3)^2+(-40*exp(x)+40*log(2))*exp(1/10*x*ex p(-x^2+2*x)-3)+20*exp(x)^2-40*exp(x)*log(2)+20*log(2)^2),x, algorithm="gia c")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1781\)
Exception generated. \[ \int \frac {-e^{5 x}-5 e^{4 x} x-10 e^{3 x} x^2-10 e^{2 x} x^3-5 e^x x^4-x^5+e^{\frac {1-4 x+2 x^2+8 x^3-5 x^4-9 x^5+2 x^6+4 x^7+x^8+e^{4 x} \left (1+3 x+6 x^2+4 x^3+x^4\right )+e^{3 x} \left (-4-8 x+20 x^3+16 x^4+4 x^5\right )+e^{2 x} \left (6-24 x^2-18 x^3+24 x^4+24 x^5+6 x^6\right )+e^x \left (-4+8 x+12 x^2-20 x^3-24 x^4+12 x^5+16 x^6+4 x^7\right )}{e^{4 x}+4 e^{3 x} x+6 e^{2 x} x^2+4 e^x x^3+x^4}} \left (-4 x^2+12 x^3-4 x^4-8 x^5+x^6-9 x^7+4 x^8+12 x^9+4 x^{10}+e^{5 x} \left (x+3 x^2+12 x^3+12 x^4+4 x^5\right )+e^{4 x} \left (-3 x^2+3 x^3+60 x^4+64 x^5+20 x^6\right )+e^{3 x} \left (4 x^2-26 x^3-30 x^4+112 x^5+132 x^6+40 x^7\right )+e^{2 x} \left (-4 x^2+12 x^3-38 x^4-66 x^5+96 x^6+132 x^7+40 x^8\right )+e^x \left (8 x^2-8 x^3-15 x^5-45 x^6+36 x^7+64 x^8+20 x^9\right )\right )}{e^{5 x} x+5 e^{4 x} x^2+10 e^{3 x} x^3+10 e^{2 x} x^4+5 e^x x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((4*x^5+12*x^4+12*x^3+3*x^2+x)*exp(x)^5+(20*x^6+64*x^5+60*x^4+3 *x^3-3*x^2)*exp(x)^4+(40*x^7+132*x^6+112*x^5-30*x^4-26*x^3+4*x^2)*exp(x)^3 +(40*x^8+132*x^7+96*x^6-66*x^5-38*x^4+12*x^3-4*x^2)*exp(x)^2+(20*x^9+64*x^ 8+36*x^7-45*x^6-15*x^5-8*x^3+8*x^2)*exp(x)+4*x^10+12*x^9+4*x^8-9*x^7+x^6-8 *x^5-4*x^4+12*x^3-4*x^2)*exp(((x^4+4*x^3+6*x^2+3*x+1)*exp(x)^4+(4*x^5+16*x ^4+20*x^3-8*x-4)*exp(x)^3+(6*x^6+24*x^5+24*x^4-18*x^3-24*x^2+6)*exp(x)^2+( 4*x^7+16*x^6+12*x^5-24*x^4-20*x^3+12*x^2+8*x-4)*exp(x)+x^8+4*x^7+2*x^6-9*x ^5-5*x^4+8*x^3+2*x^2-4*x+1)/(exp(x)^4+4*x*exp(x)^3+6*exp(x)^2*x^2+4*exp(x) *x^3+x^4))-exp(x)^5-5*x*exp(x)^4-10*x^2*exp(x)^3-10*exp(x)^2*x^3-5*exp(x)* x^4-x^5)/(x*exp(x)^5+5*x^2*exp(x)^4+10*x^3*exp(x)^3+10*exp(x)^2*x^4+5*x^5* exp(x)+x^6),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-167772160,[4,36]%%%}+%%%{4697620480,[4,35]%%%}+%%%{-62914 560000,[4
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(1998\)
Exception generated. \[ \int \frac {4+5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+5 x^2+e^{6+x^2-2 e^3 x^2+e^6 x^2} \left (18 x-16 e^3 x+8 e^6 x\right )}{5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+10 e^{6+x^2-2 e^3 x^2+e^6 x^2} x+5 x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((5*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)^2+(8*x*exp(3)^2-16*x*exp (3)+18*x)*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)+5*x^2+4)/(5*exp(x^2*exp(3)^ 2-2*x^2*exp(3)+x^2+6)^2+10*x*exp(x^2*exp(3)^2-2*x^2*exp(3)+x^2+6)+5*x^2),x , algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2098\)
Exception generated. \[ \int \frac {\left (-4+4 e^{4-x}\right ) \log ^2(x)+e^{\frac {5 x^2}{4 \log (x)}} (-5 x+10 x \log (x))}{4 e^{\frac {5 x^2}{4 \log (x)}} \log ^2(x)+\left (-28-4 e^{4-x}-4 x\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((10*x*log(x)-5*x)*exp(5/4*x^2/log(x))+(4*exp(-x+4)-4)*log(x)^2) /(4*log(x)^2*exp(5/4*x^2/log(x))+(-4*exp(-x+4)-4*x-28)*log(x)^2),x, algori thm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{62500,[0,17]%%%} / %%%{250000,[0,17]%%%} Error: Bad Argume nt Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2221\)
Exception generated. \[ \int \frac {18 x+13 x^2+4 x^3-3 x^4+x^5+e^{25} \left (36 x^2+16 x^3-8 x^4+4 x^5\right )+\left (18 x+8 x^2-4 x^3+2 x^4+e^{25} \left (72 x+32 x^2-16 x^3+8 x^4\right )\right ) \log \left (\frac {9+4 x-2 x^2+x^3}{x^2}\right )+e^{25} \left (36+16 x-8 x^2+4 x^3\right ) \log ^2\left (\frac {9+4 x-2 x^2+x^3}{x^2}\right )}{e^{25} \left (9 x^2+4 x^3-2 x^4+x^5\right )+e^{25} \left (18 x+8 x^2-4 x^3+2 x^4\right ) \log \left (\frac {9+4 x-2 x^2+x^3}{x^2}\right )+e^{25} \left (9+4 x-2 x^2+x^3\right ) \log ^2\left (\frac {9+4 x-2 x^2+x^3}{x^2}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((4*x^3-8*x^2+16*x+36)*exp(25)*log((x^3-2*x^2+4*x+9)/x^2)^2+((8* x^4-16*x^3+32*x^2+72*x)*exp(25)+2*x^4-4*x^3+8*x^2+18*x)*log((x^3-2*x^2+4*x +9)/x^2)+(4*x^5-8*x^4+16*x^3+36*x^2)*exp(25)+x^5-3*x^4+4*x^3+13*x^2+18*x)/ ((x^3-2*x^2+4*x+9)*exp(25)*log((x^3-2*x^2+4*x+9)/x^2)^2+(2*x^4-4*x^3+8*x^2 +18*x)*exp(25)*log((x^3-2*x^2+4*x+9)/x^2)+(x^5-2*x^4+4*x^3+9*x^2)*exp(25)) ,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2232\)
Exception generated. \[ \int \frac {-30 \log ^2(x)+e^{\frac {-2 x+x^2+3 x \log (x)}{30 \log (x)}} \left (2 x-x^2+\left (-2 x+2 x^2\right ) \log (x)+(30+3 x) \log ^2(x)\right )}{30 x^2 \log ^2(x)-60 e^{\frac {-2 x+x^2+3 x \log (x)}{30 \log (x)}} x^2 \log ^2(x)+30 e^{\frac {-2 x+x^2+3 x \log (x)}{15 \log (x)}} x^2 \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((3*x+30)*log(x)^2+(2*x^2-2*x)*log(x)-x^2+2*x)*exp(1/30*(3*x*lo g(x)+x^2-2*x)/log(x))-30*log(x)^2)/(30*x^2*log(x)^2*exp(1/30*(3*x*log(x)+x ^2-2*x)/log(x))^2-60*x^2*log(x)^2*exp(1/30*(3*x*log(x)+x^2-2*x)/log(x))+30 *x^2*log(x)^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{50625,[0,19]%%%}+%%%{-607500,[0,18]%%%}+%%%{3037500,[0,17] %%%}+%%%{
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2511\)
Exception generated. \[ \int \frac {5 e^{8+18 x} x^2+5 x^4+e^{\left .\frac {2}{5}\right /x} \left (-9 x+15 x^2\right )+e^{4+9 x} \left (10 x^3+e^{\left .\frac {2}{5}\right /x} \left (6+135 x^2\right )\right )+\left (-6 e^{\left .\frac {2}{5}\right /x}-10 e^{4+9 x} x^2-10 x^3\right ) \log (x)+5 x^2 \log ^2(x)}{60 e^{8+18 x} x^2+120 e^{4+9 x} x^3+60 x^4+\left (-120 e^{4+9 x} x^2-120 x^3\right ) \log (x)+60 x^2 \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((5*x^2*log(x)^2+(-10*x^2*exp(9*x+4)-6*exp(2/5/x)-10*x^3)*log(x)+ 5*x^2*exp(9*x+4)^2+((135*x^2+6)*exp(2/5/x)+10*x^3)*exp(9*x+4)+(15*x^2-9*x) *exp(2/5/x)+5*x^4)/(60*x^2*log(x)^2+(-120*x^2*exp(9*x+4)-120*x^3)*log(x)+6 0*x^2*exp(9*x+4)^2+120*x^3*exp(9*x+4)+60*x^4),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-109350,[0,3,6,0]%%%}+%%%{-4860,[0,3,4,0]%%%}+%%%{273375,[ 0,2,8,0]%
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2966\)
Exception generated. \[ \int \frac {\left (16+8 x+x^2+e^x \left (-32-16 x-2 x^2\right )+e^{2 x} \left (16+8 x+x^2\right )\right ) \log ^2(x)+e^{\frac {-4 x-8 \log (x)}{\left (-4-x+e^x (4+x)\right ) \log (x)}} \left (-16-4 x+e^x (16+4 x)+\left (16+e^x \left (-16+16 x+4 x^2\right )\right ) \log (x)+\left (-8+e^x (40+8 x)\right ) \log ^2(x)\right )}{\left (16+8 x+x^2+e^x \left (-32-16 x-2 x^2\right )+e^{2 x} \left (16+8 x+x^2\right )\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((((8*x+40)*exp(x)-8)*log(x)^2+((4*x^2+16*x-16)*exp(x)+16)*log(x )+(4*x+16)*exp(x)-16-4*x)*exp((-8*log(x)-4*x)/((4+x)*exp(x)-x-4)/log(x))+( (x^2+8*x+16)*exp(x)^2+(-2*x^2-16*x-32)*exp(x)+x^2+8*x+16)*log(x)^2)/((x^2+ 8*x+16)*exp(x)^2+(-2*x^2-16*x-32)*exp(x)+x^2+8*x+16)/log(x)^2,x, algorithm ="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:exp(sageVARx)^2=exp(2*sageVARx)exp( sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2= exp(2*sag
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(232\)
Exception generated. \[ \int \frac {e^{\frac {e}{\log \left (\frac {3+e^{8+x}}{e^8}\right )}} \left (e^{8+x} \left (-24 e-e^3 x\right )+\left (3 e^2+e^{10+x}\right ) \log ^2\left (\frac {3+e^{8+x}}{e^8}\right )\right )}{\left (3+e^{8+x}\right ) \log ^2\left (\frac {3+e^{8+x}}{e^8}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((exp(2)*exp(4)^2*exp(x)+3*exp(2))*log((exp(4)^2*exp(x)+3)/exp(4 )^2)^2+(-x*exp(1)*exp(2)-24*exp(1))*exp(4)^2*exp(x))*exp(exp(1)/log((exp(4 )^2*exp(x)+3)/exp(4)^2))/(exp(4)^2*exp(x)+3)/log((exp(4)^2*exp(x)+3)/exp(4 )^2)^2,x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{1,[1,17,9,10,0,80,1]%%%}+%%%{21,[1,17,9,9,0,72,1]%%%}+%%%{ 189,[1,17
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(388\)
Exception generated. \[ \int \frac {e^{-2-\frac {-4 x+e^2 x \log \left (x^2\right )}{e^2}} \left (-e^2 \log \left (\frac {25}{2}\right )+\left (-20+e^2 (10-2 x)+4 x\right ) \log \left (\frac {25}{2}\right ) \log (5-x)+e^2 (5-x) \log \left (\frac {25}{2}\right ) \log (5-x) \log \left (x^2\right )\right )}{(-5+x) \log ^2(5-x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((5-x)*exp(2)*log(25/2)*log(5-x)*log(x^2)+((-2*x+10)*exp(2)+4*x- 20)*log(25/2)*log(5-x)-exp(2)*log(25/2))/(-5+x)/exp(2)/log(5-x)^2/exp((x*e xp(2)*log(x^2)-4*x)/exp(2)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-4,[0,0,5,4,1,0]%%%}+%%%{4,[0,0,5,4,0,1]%%%}+%%%{1,[0,0,4, 5,1,0]%%%
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(484\)
Exception generated. \[ \int \frac {3 x^2+3 x^3-x^4+e^{e^5} \left (-3-3 x-6 x^3-6 x^4+2 x^5\right )+e^{2 e^5} \left (6 x+3 x^2+3 x^4+3 x^5-x^6\right )}{-4 x^2-x^3+x^4+e^{e^5} \left (3 x+8 x^3+2 x^4-2 x^5\right )+e^{2 e^5} \left (-3 x^2-4 x^4-x^5+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-x^6+3*x^5+3*x^4+3*x^2+6*x)*exp(exp(5))^2+(2*x^5-6*x^4-6*x^3-3 *x-3)*exp(exp(5))-x^4+3*x^3+3*x^2)/((x^6-x^5-4*x^4-3*x^2)*exp(exp(5))^2+(- 2*x^5+2*x^4+8*x^3+3*x)*exp(exp(5))+x^4-x^3-4*x^2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Francis algorithm failure for[undef ,0.0,undef,undef,undef,undef]proot error [undef,0.0,undef,undef,undef,unde f]proot e
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(515\)
Exception generated. \[ \int \frac {e^{\frac {e^{21+x}-3 x^2-e^x x^2}{3 x+e^x x}} \left (e^{21+x} \left (18+6 e^x-18 x\right )+54 x^2+36 e^x x^2+6 e^{2 x} x^2\right )+e^{\frac {2 \left (e^{21+x}-3 x^2-e^x x^2\right )}{3 x+e^x x}} \left (-18 x^2-12 e^x x^2-2 e^{2 x} x^2+e^{21+x} \left (-6-2 e^x+6 x\right )\right )}{9 x^2+6 e^x x^2+e^{2 x} x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-2*exp(x)+6*x-6)*exp(x+21)-2*exp(x)^2*x^2-12*exp(x)*x^2-18*x^ 2)*exp((exp(x+21)-exp(x)*x^2-3*x^2)/(exp(x)*x+3*x))^2+((6*exp(x)-18*x+18)* exp(x+21)+6*exp(x)^2*x^2+36*exp(x)*x^2+54*x^2)*exp((exp(x+21)-exp(x)*x^2-3 *x^2)/(exp(x)*x+3*x)))/(exp(x)^2*x^2+6*exp(x)*x^2+9*x^2),x, algorithm="gia c")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-7776,[2,0,26,24]%%%}+%%%{-606528,[2,0,25,24]%%%}+%%%{-227 44800,[2,
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(602\)
Exception generated. \[ \int \frac {36 x^3+24 x^5+4 e^{2 x} x^5+4 x^7+e^x \left (-24 x^4-8 x^6\right )+e^{2 x+2 e^{\frac {-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2} \left (18+12 x^2+2 e^{2 x} x^2+2 x^4+e^x \left (-12 x-4 x^3\right )+e^{\frac {-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} \left (36 x+36 x^3+4 e^{2 x} x^3+4 x^5+e^x \left (-30 x^2-6 x^3-8 x^4\right )\right )\right )+e^{x+e^{\frac {-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2} \left (-36 x-18 x^2-24 x^3-12 x^4-4 x^5-2 x^6+e^{2 x} \left (-4 x^3-2 x^4\right )+e^x \left (24 x^2+12 x^3+8 x^4+4 x^5\right )+e^{\frac {-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} \left (-36 x^3-36 x^5-4 e^{2 x} x^5-4 x^7+e^x \left (30 x^4+6 x^5+8 x^6\right )\right )\right )}{9+6 x^2+e^{2 x} x^2+x^4+e^x \left (-6 x-2 x^3\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((((4*exp(x)^2*x^3+(-8*x^4-6*x^3-30*x^2)*exp(x)+4*x^5+36*x^3+36*x )*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+2*exp(x)^2*x^2+(-4*x^3-12*x) *exp(x)+2*x^4+12*x^2+18)*exp(x^2*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3 ))+x)^2+((-4*x^5*exp(x)^2+(8*x^6+6*x^5+30*x^4)*exp(x)-4*x^7-36*x^5-36*x^3) *exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+(-2*x^4-4*x^3)*exp(x)^2+(4*x^ 5+8*x^4+12*x^3+24*x^2)*exp(x)-2*x^6-4*x^5-12*x^4-24*x^3-18*x^2-36*x)*exp(x ^2*exp((5*exp(x)*x-5*x^2-12)/(exp(x)*x-x^2-3))+x)+4*x^5*exp(x)^2+(-8*x^6-2 4*x^4)*exp(x)+4*x^7+24*x^5+36*x^3)/(exp(x)^2*x^2+(-2*x^3-6*x)*exp(x)+x^4+6 *x^2+9),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{16,[ 0,2,10,11]%%%}+%%%{-128,[0,2,9,12]%%%}+%%%{-48,[0,2,9,11]%%%}+%%%{-432,[0, 2,9,10]%%%}+
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(654\)
Exception generated. \[ \int \frac {e^{\frac {16 x-81 x^2-24 e^{\frac {1}{5} (5 x+\log (5))} x^2+9 e^{\frac {2}{5} (5 x+\log (5))} x^3}{16-24 e^{\frac {1}{5} (5 x+\log (5))} x+9 e^{\frac {2}{5} (5 x+\log (5))} x^2}} \left (-64+648 x-108 e^{\frac {2}{5} (5 x+\log (5))} x^2+27 e^{\frac {3}{5} (5 x+\log (5))} x^3+e^{\frac {1}{5} (5 x+\log (5))} \left (144 x+486 x^3\right )\right )}{-64+144 e^{\frac {1}{5} (5 x+\log (5))} x-108 e^{\frac {2}{5} (5 x+\log (5))} x^2+27 e^{\frac {3}{5} (5 x+\log (5))} x^3} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((27*x^3*exp(1/5*log(5)+x)^3-108*x^2*exp(1/5*log(5)+x)^2+(486*x^3 +144*x)*exp(1/5*log(5)+x)+648*x-64)*exp((9*x^3*exp(1/5*log(5)+x)^2-24*x^2* exp(1/5*log(5)+x)-81*x^2+16*x)/(9*x^2*exp(1/5*log(5)+x)^2-24*x*exp(1/5*log (5)+x)+16))/(27*x^3*exp(1/5*log(5)+x)^3-108*x^2*exp(1/5*log(5)+x)^2+144*x* exp(1/5*log(5)+x)-64),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-51257812500000000,[2,12,0,1,0]%%%}+%%%{123018750000000000 ,[2,11,1,
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(667\)
Exception generated. \[ \int \frac {e^{-\frac {2}{\log (4-x)}} \left (40 x^2+40 x^3+10 x^4+e^{\frac {8}{2+x}+\frac {2}{\log (4-x)}} (-32+8 x) \log ^2(4-x)+\left (-160 x-120 x^2+10 x^4\right ) \log ^2(4-x)\right )}{\left (-16-12 x+x^3\right ) \log ^2(4-x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((8*x-32)*exp(4/(2+x))^2*log(-x+4)^2*exp(2/log(-x+4))+(10*x^4-12 0*x^2-160*x)*log(-x+4)^2+10*x^4+40*x^3+40*x^2)/(x^3-12*x-16)/log(-x+4)^2/e xp(2/log(-x+4)),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{8,[0,19]%%%}+%%%{64,[0,18]%%%}+%%%{-288,[0,17]%%%}+%%%{-42 24,[0,16]
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(685\)
Exception generated. \[ \int -\frac {e^{5-\frac {e^5 \left (3 x-\frac {(-15+3 x) \log (3+\log (x))}{e^5}\right )}{\log (3+\log (x))}} \left (-3+(9+3 \log (x)) \log (3+\log (x))-\frac {(9+3 \log (x)) \log ^2(3+\log (x))}{e^5}\right )}{(3+\log (x)) \log ^2(3+\log (x))} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(((3*log(x)+9)*log(3+log(x))*exp(log(-log(3+log(x)))-5)+(3*log(x) +9)*log(3+log(x))-3)*exp(((3*x-15)*exp(log(-log(3+log(x)))-5)+3*x)/exp(log (-log(3+log(x)))-5))/(3+log(x))/log(3+log(x))/exp(log(-log(3+log(x)))-5),x , algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{27,[ 0,1,0,3]%%%}+%%%{81,[0,0,0,3]%%%} / %%%{27,[0,2,0,3]%%%}+%%%{162,[0,1,0,3] %%%}+%%%{243
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(697\)
Exception generated. \[ \int \frac {e^5 \left (-e^{21}-3 x^2\right ) \log (3)}{\left (e^{21} x+x^3\right )^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((-exp(21)-3*x^2)*exp(log(log(3)/(x*exp(21)+x^3))+5)/(x*exp(21)+x ^3),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -(-2 *exp(5)*ln(3)*exp(1)^21+6*exp(5)*ln(3)*exp(21))*1/2/(exp(1)^21*exp(21)-exp (21)^2)/exp(21/2)*atan(sageVARx/exp(21/2))+4*exp(5)*ln(3)*1/2/(exp(1)^21-e xp(21))/exp(1)^10/e
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(708\)
Exception generated. \[ \int \frac {e^{\frac {5}{\log \left (-4+e^{e^{2 x}+x}+\log (5+x)\right )}} \left (-5+e^{e^{2 x}+x} \left (-25+e^{2 x} (-50-10 x)-5 x\right )\right )}{\left (-20-4 x+e^{e^{2 x}+x} (5+x)+(5+x) \log (5+x)\right ) \log ^2\left (-4+e^{e^{2 x}+x}+\log (5+x)\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((((-10*x-50)*exp(2*x)-5*x-25)*exp(exp(2*x)+x)-5)*exp(5/log(exp(e xp(2*x)+x)+log(5+x)-4))/((5+x)*exp(exp(2*x)+x)+(5+x)*log(5+x)-4*x-20)/log( exp(exp(2*x)+x)+log(5+x)-4)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{9112 5000,[0,7,0,3,10]%%%}+%%%{3189375000,[0,7,0,3,9]%%%}+%%%{47840625000,[0,7, 0,3,8]%%%}+%
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(718\)
Exception generated. \[ \int \frac {\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )+e^{\frac {4 x^3}{e^5 \log \left (e^{10}-2 e^5 x+x^2\right )}} \left (8 x^3+\left (12 e^5 x^2-12 x^3\right ) \log \left (e^{10}-2 e^5 x+x^2\right )\right )}{\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((12*x^2*exp(5)-12*x^3)*log(exp(5)^2-2*x*exp(5)+x^2)+8*x^3)*exp (4*x^3/exp(5)/log(exp(5)^2-2*x*exp(5)+x^2))+(exp(5)^2-x*exp(5))*log(exp(5) ^2-2*x*exp(5)+x^2)^2)/(exp(5)^2-x*exp(5))/log(exp(5)^2-2*x*exp(5)+x^2)^2,x , algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-196608,[1,22,6]%%%}+%%%{786432,[1,21,7]%%%}+%%%{-1179648, [1,20,8]%
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(775\)
Exception generated. \[ \int \frac {e^{\frac {-1+25 x+16 x^3+10 e^x x^3+100 x^4}{10 x^3+5 e^x x^3}} \left (6-100 x+200 x^4+e^x \left (3-49 x-25 x^2+104 x^4-100 x^5\right )\right )}{20 x^4+20 e^x x^4+5 e^{2 x} x^4} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-100*x^5+104*x^4-25*x^2-49*x+3)*exp(x)+200*x^4-100*x+6)*exp((1 0*exp(x)*x^3+100*x^4+16*x^3+25*x-1)/(5*exp(x)*x^3+10*x^3))/(5*exp(x)^2*x^4 +20*exp(x)*x^4+20*x^4),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{1000000000000,[1,29]%%%}+%%%{-2200000000000,[1,28]%%%}+%%% {13360000
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(991\)
Exception generated. \[ \int \frac {2^{-1/x} \left (2^{\frac {1}{x}} e^{-5+x} \left (-x-x^2\right )+e^{-2+x} \left (x+x^2+\log (2)\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-x^2-x)*exp(-5+x)*exp(log(2)/x)+(log(2)+x^2+x)*exp(-2+x))/x/ex p(log(2)/x),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro unding error%%%{-1,[0,1,1,1,1,0]%%%}+%%%{-1,[0,1,1,1,0,0]%%%}+%%%{1,[0,1,0 ,0,1,1]%%
input file name test_cases/extra_tests/364_Hebisch_4
Test file number \(364\)
Integral number in file \(1075\)
Exception generated. \[ \int \frac {1}{\sqrt {-x^2+x^8}} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate(1/(x^8-x^2)^(1/2),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -ata n(i)/3*sign(sageVARx)+1/3*atan(sqrt(sageVARx^6-1))/sign(sageVARx)
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(189\)
Exception generated. \[ \int \frac {1}{x^{10} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x^10/(x^6-1)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(233\)
Exception generated. \[ \int \frac {1+x^6}{x^{10} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^6+1)/x^10/(x^6-1)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(234\)
Exception generated. \[ \int \frac {1+x^{12}}{x^{16} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^12+1)/x^16/(x^6-1)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(342\)
Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^7 \left (1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((x^3-1)*(x^6-1)^(1/2)/x^7/(x^3+1),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 2/3* sign(sageVARx)+2*(1/12*(1/sageVARx)^3/sign(sageVARx)-1/3/sign(sageVARx))*s qrt(-(1/sageVARx)^6+1)+3/2/sign(sageVARx)*(-atan(i)/3*sign(sageVARx)+1/3*a tan(sqrt(sageVARx^6
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(539\)
Exception generated. \[ \int \frac {\left (1+x^3\right ) \sqrt {-1+x^6}}{x^7 \left (-1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((x^3+1)*(x^6-1)^(1/2)/x^7/(x^3-1),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -2/3 *sign(sageVARx)+2*(1/12*(1/sageVARx)^3/sign(sageVARx)+1/3/sign(sageVARx))* sqrt(-(1/sageVARx)^6+1)+3/2/sign(sageVARx)*(-atan(i)/3*sign(sageVARx)+1/3* atan(sqrt(sageVARx^
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(540\)
Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^{10}} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((x^3-1)*(x^6-1)^(1/2)/x^10,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: 1/9* sign(sageVARx)+2*((1/sageVARx)^3*(1/18*(1/sageVARx)^3/sign(sageVARx)-1/12/ sign(sageVARx))-1/18/sign(sageVARx))*sqrt(-(1/sageVARx)^6+1)+1/2/sign(sage VARx)*(-atan(i)/3*s
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(627\)
Exception generated. \[ \int \frac {\left (-1+x^6\right ) \left (1+x^6\right )}{\sqrt [4]{x-x^4+x^7} \left (1+3 x^6+x^{12}\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((x^6-1)*(x^6+1)/(x^7-x^4+x)^(1/4)/(x^12+3*x^6+1),x, algorithm="g iac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Invalid _EXT in replace_ext Error: Bad Argument Valuein tegrate((sageVARx^12+3*sageVARx^6+1)^-1*((sageVARx^7-sageVARx^4+sageVARx)^ (1/4))^-1*(s
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(641\)
Exception generated. \[ \int \frac {\left (1+x^3\right ) \sqrt {-1+x^6}}{x^{13} \left (-1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((x^3+1)*(x^6-1)^(1/2)/x^13/(x^3-1),x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -4/9 *sign(sageVARx)+2*((1/sageVARx)^3*((1/sageVARx)^3*(1/24*(1/sageVARx)^3/sig n(sageVARx)+1/9/sign(sageVARx))+7/48/sign(sageVARx))+2/9/sign(sageVARx))*s qrt(-(1/sageVARx)^6
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(657\)
Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^{13}} \, dx=\text {Exception raised: NotImplementedError} \] Input:
integrate((x^3-1)*(x^6-1)^(1/2)/x^13,x, algorithm="giac")
Output:
Exception raised: NotImplementedError >> unable to parse Giac output: -1/9 *sign(sageVARx)+2*((1/sageVARx)^3*((1/sageVARx)^3*(1/24*(1/sageVARx)^3/sig n(sageVARx)-1/18/sign(sageVARx))-1/48/sign(sageVARx))+1/18/sign(sageVARx)) *sqrt(-(1/sageVARx)
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(694\)
Exception generated. \[ \int \frac {a (a b+a c-3 b c)+\left (-2 a^2+a b+a c+3 b c\right ) x+(a-2 b-2 c) x^2+x^3}{\sqrt {(-a+x) (-b+x) (-c+x)} \left (-b c-a^3 d+\left (b+c+3 a^2 d\right ) x-(1+3 a d) x^2+d x^3\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a*(a*b+a*c-3*b*c)+(-2*a^2+a*b+a*c+3*b*c)*x+(a-2*b-2*c)*x^2+x^3) /((-a+x)*(-b+x)*(-c+x))^(1/2)/(-b*c-a^3*d+(3*a^2*d+b+c)*x-(3*a*d+1)*x^2+d* x^3),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(781\)