\[ \int \frac {e^x \left (1280-288 x-144 x^2+32 x^3+16 x^4+e^{20} \left (-32 x+16 x^2\right )+e^{10} \left (192 x-32 x^3\right )-256 \log (2)\right )}{6400+1440 x^2+960 x^3+241 x^4+e^{40} x^4+108 x^5+54 x^6+12 x^7+x^8+e^{30} \left (-12 x^4-4 x^5\right )+e^{20} \left (160 x^2+54 x^4+36 x^5+6 x^6\right )+e^{10} \left (-960 x^2-320 x^3-108 x^4-108 x^5-36 x^6-4 x^7\right )+\left (-2560-288 x^2-32 e^{20} x^2-192 x^3-32 x^4+e^{10} \left (192 x^2+64 x^3\right )\right ) \log (2)+256 \log ^2(2)} \, dx \]
Optimal antiderivative \[ \frac {{\mathrm e}^{x}}{\frac {x^{2} \left (x -{\mathrm e}^{10}+3\right )^{2}}{16}+5-\ln \left (2\right )} \]
command
integrate((-256*log(2)+(16*x^2-32*x)*exp(10)^2+(-32*x^3+192*x)*exp(10)+16*x^4+32*x^3-144*x^2-288*x+1280)*exp(x)/(256*log(2)^2+(-32*x^2*exp(10)^2+(64*x^3+192*x^2)*exp(10)-32*x^4-192*x^3-288*x^2-2560)*log(2)+x^4*exp(10)^4+(-4*x^5-12*x^4)*exp(10)^3+(6*x^6+36*x^5+54*x^4+160*x^2)*exp(10)^2+(-4*x^7-36*x^6-108*x^5-108*x^4-320*x^3-960*x^2)*exp(10)+x^8+12*x^7+54*x^6+108*x^5+241*x^4+960*x^3+1440*x^2+6400),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {32 \, e^{x}}{x^{4} - 2 \, x^{3} e^{10} + 6 \, x^{3} + x^{2} e^{20} - 6 \, x^{2} e^{10} + 9 \, x^{2} - 16 \, \log \left (2\right ) + 80} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________