Integrand size = 409, antiderivative size = 32 \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\frac {x}{\log \left (\log \left (\frac {x}{-e^{1+x}+x+\frac {\log (x)}{3+e^{25}-x}}\right )\right )} \]
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\[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (\left (9+e^{50}\right ) x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx \\ & = \int \frac {-3 \left (1+\frac {e^{25}}{3}\right )+e^{1+x} \left (3+e^{25}-x\right )^2 (-1+x)+x+\left (3+e^{25}-2 x\right ) \log (x)-\left (-3-e^{25}+x\right ) \left (\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)\right ) \log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log \left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}{\left (3+e^{25}-x\right ) \left (\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)\right ) \log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )} \, dx \\ & = \int \left (\frac {-3 \left (1+\frac {e^{25}}{3}\right )-8 \left (1+\frac {1}{8} e^{25} \left (6+e^{25}\right )\right ) x+15 \left (1+\frac {1}{15} e^{25} \left (8+e^{25}\right )\right ) x^2-7 \left (1+\frac {2 e^{25}}{7}\right ) x^3+x^4+2 \left (1+\frac {e^{25}}{2}\right ) x \log (x)-x^2 \log (x)}{\left (3+e^{25}-x\right ) \left (3 e^{1+x} \left (1+\frac {e^{25}}{3}\right )-e^{1+x} x-3 \left (1+\frac {e^{25}}{3}\right ) x+x^2-\log (x)\right ) \log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}+\frac {-1+x+\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log \left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}{\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}\right ) \, dx \\ & = \int \frac {-3 \left (1+\frac {e^{25}}{3}\right )-8 \left (1+\frac {1}{8} e^{25} \left (6+e^{25}\right )\right ) x+15 \left (1+\frac {1}{15} e^{25} \left (8+e^{25}\right )\right ) x^2-7 \left (1+\frac {2 e^{25}}{7}\right ) x^3+x^4+2 \left (1+\frac {e^{25}}{2}\right ) x \log (x)-x^2 \log (x)}{\left (3+e^{25}-x\right ) \left (3 e^{1+x} \left (1+\frac {e^{25}}{3}\right )-e^{1+x} x-3 \left (1+\frac {e^{25}}{3}\right ) x+x^2-\log (x)\right ) \log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )} \, dx+\int \frac {-1+x+\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log \left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}{\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )} \, dx \\ & = \int \left (\frac {-1+x}{\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}+\frac {1}{\log \left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )}\right ) \, dx+\int \frac {-3-8 x+e^{50} (-1+x) x+15 x^2-7 x^3+x^4-e^{25} \left (1+6 x-8 x^2+2 x^3\right )+\left (2+e^{25}-x\right ) x \log (x)}{\left (3+e^{25}-x\right ) \left (\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)\right ) \log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right ) \log ^2\left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )} \, dx \\ & = \text {Too large to display} \\ \end{align*}
Time = 0.40 (sec) , antiderivative size = 41, normalized size of antiderivative = 1.28 \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\frac {x}{\log \left (\log \left (\frac {x \left (-3-e^{25}+x\right )}{\left (3+e^{25}-x\right ) \left (e^{1+x}-x\right )-\log (x)}\right )\right )} \]
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Result contains higher order function than in optimal. Order 9 vs. order 3.
Time = 0.30 (sec) , antiderivative size = 453, normalized size of antiderivative = 14.16
\[\frac {x}{\ln \left (\ln \left (x \right )+\ln \left ({\mathrm e}^{25}+3-x \right )-\ln \left (-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x \right )-\frac {i \pi \,\operatorname {csgn}\left (\frac {i \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right ) \left (-\operatorname {csgn}\left (\frac {i \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )+\operatorname {csgn}\left (i \left ({\mathrm e}^{25}+3-x \right )\right )\right ) \left (-\operatorname {csgn}\left (\frac {i \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )+\operatorname {csgn}\left (\frac {i}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )\right )}{2}-\frac {i \pi \,\operatorname {csgn}\left (\frac {i x \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right ) \left (-\operatorname {csgn}\left (\frac {i x \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )+\operatorname {csgn}\left (i x \right )\right ) \left (-\operatorname {csgn}\left (\frac {i x \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )+\operatorname {csgn}\left (\frac {i \left ({\mathrm e}^{25}+3-x \right )}{-{\mathrm e}^{x +26}+x \,{\mathrm e}^{25}+x \,{\mathrm e}^{1+x}-x^{2}+\ln \left (x \right )-3 \,{\mathrm e}^{1+x}+3 x}\right )\right )}{2}\right )}\]
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Time = 0.25 (sec) , antiderivative size = 50, normalized size of antiderivative = 1.56 \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\frac {x}{\log \left (\log \left (\frac {x^{2} - x e^{25} - 3 \, x}{x^{2} - x e^{25} - {\left (x - e^{25} - 3\right )} e^{\left (x + 1\right )} - 3 \, x - \log \left (x\right )}\right )\right )} \]
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Timed out. \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\text {Timed out} \]
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Time = 28.50 (sec) , antiderivative size = 51, normalized size of antiderivative = 1.59 \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\frac {x}{\log \left (-\log \left (x^{2} - x {\left (e^{25} + 3\right )} - {\left (x e - e^{26} - 3 \, e\right )} e^{x} - \log \left (x\right )\right ) + \log \left (x - e^{25} - 3\right ) + \log \left (x\right )\right )} \]
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Timed out. \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=\text {Timed out} \]
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Timed out. \[ \int \frac {3+e^{25}-x+e^{1+x} \left (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} \left (6-8 x+2 x^2\right )\right )+\left (-3-e^{25}+2 x\right ) \log (x)+\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log \left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )}{\left (9 x+e^{50} x-6 x^2+x^3+e^{25} \left (6 x-2 x^2\right )+e^{1+x} \left (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x)\right )+\left (3+e^{25}-x\right ) \log (x)\right ) \log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right ) \log ^2\left (\log \left (\frac {3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} \left (-3-e^{25}+x\right )+\log (x)}\right )\right )} \, dx=-\int \frac {x-{\mathrm {e}}^{25}+{\mathrm {e}}^{x+1}\,\left (15\,x-{\mathrm {e}}^{25}\,\left (2\,x^2-8\,x+6\right )+{\mathrm {e}}^{50}\,\left (x-1\right )-7\,x^2+x^3-9\right )+\ln \left (x\right )\,\left ({\mathrm {e}}^{25}-2\,x+3\right )-\ln \left (\ln \left (\frac {3\,x+x\,{\mathrm {e}}^{25}-x^2}{3\,x+\ln \left (x\right )-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{25}-x+3\right )+x\,{\mathrm {e}}^{25}-x^2}\right )\right )\,\ln \left (\frac {3\,x+x\,{\mathrm {e}}^{25}-x^2}{3\,x+\ln \left (x\right )-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{25}-x+3\right )+x\,{\mathrm {e}}^{25}-x^2}\right )\,\left (9\,x-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{50}-6\,x+x^2-{\mathrm {e}}^{25}\,\left (2\,x-6\right )+9\right )+{\mathrm {e}}^{25}\,\left (6\,x-2\,x^2\right )+x\,{\mathrm {e}}^{50}-6\,x^2+x^3+\ln \left (x\right )\,\left ({\mathrm {e}}^{25}-x+3\right )\right )-3}{{\ln \left (\ln \left (\frac {3\,x+x\,{\mathrm {e}}^{25}-x^2}{3\,x+\ln \left (x\right )-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{25}-x+3\right )+x\,{\mathrm {e}}^{25}-x^2}\right )\right )}^2\,\ln \left (\frac {3\,x+x\,{\mathrm {e}}^{25}-x^2}{3\,x+\ln \left (x\right )-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{25}-x+3\right )+x\,{\mathrm {e}}^{25}-x^2}\right )\,\left (9\,x-{\mathrm {e}}^{x+1}\,\left ({\mathrm {e}}^{50}-6\,x+x^2-{\mathrm {e}}^{25}\,\left (2\,x-6\right )+9\right )+{\mathrm {e}}^{25}\,\left (6\,x-2\,x^2\right )+x\,{\mathrm {e}}^{50}-6\,x^2+x^3+\ln \left (x\right )\,\left ({\mathrm {e}}^{25}-x+3\right )\right )} \,d x \]
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