\[ \int \frac {16 \left (4-12 e^{16} x\right )^4}{81 e^{64} x^4 \left (-25 x+75 e^{16} x^2+\frac {\left (4-12 e^{16} x\right )^4 \left (10 x-30 e^{16} x^2\right )}{81 e^{64} x^4}+\frac {\left (4-12 e^{16} x\right )^8 \left (-x+3 e^{16} x^2\right )}{6561 e^{128} x^8}\right )} \, dx \]
Optimal antiderivative \[ \ln \left (15\right )+\frac {4}{5-\left (\frac {4 \,{\mathrm e}^{-16}}{3 x}-4\right )^{4}} \]
command
integrate(16/81*(-12*x*exp(16)+4)^4/x^4/exp(16)^4/(1/6561*(3*x^2*exp(16)-x)*(-12*x*exp(16)+4)^8/x^8/exp(16)^8+1/81*(-30*x^2*exp(16)+10*x)*(-12*x*exp(16)+4)^4/x^4/exp(16)^4+75*x^2*exp(16)-25*x),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {1024 \, {\left (108 \, x^{3} e^{112} - 54 \, x^{2} e^{96} + 12 \, x e^{80} - e^{64}\right )} e^{\left (-64\right )}}{251 \, {\left (20331 \, x^{4} e^{64} - 27648 \, x^{3} e^{48} + 13824 \, x^{2} e^{32} - 3072 \, x e^{16} + 256\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________