101.36 Problem number 6731

\[ \int \frac {30 x+e^{-6+2 e^x} \left (2-64 e^x x\right )-64 \log (x)+2 \log ^2(x)+e^{-3+e^x} \left (-64+\left (4-64 e^x x\right ) \log (x)\right )}{e^{-102+34 e^x}-x^{17}+34 e^{-99+33 e^x} \log (x)+17 x^{16} \log ^2(x)-136 x^{15} \log ^4(x)+680 x^{14} \log ^6(x)-2380 x^{13} \log ^8(x)+6188 x^{12} \log ^{10}(x)-12376 x^{11} \log ^{12}(x)+19448 x^{10} \log ^{14}(x)-24310 x^9 \log ^{16}(x)+24310 x^8 \log ^{18}(x)-19448 x^7 \log ^{20}(x)+12376 x^6 \log ^{22}(x)-6188 x^5 \log ^{24}(x)+2380 x^4 \log ^{26}(x)-680 x^3 \log ^{28}(x)+136 x^2 \log ^{30}(x)-17 x \log ^{32}(x)+\log ^{34}(x)+e^{-96+32 e^x} \left (-17 x+561 \log ^2(x)\right )+e^{-93+31 e^x} \left (-544 x \log (x)+5984 \log ^3(x)\right )+e^{-90+30 e^x} \left (136 x^2-8432 x \log ^2(x)+46376 \log ^4(x)\right )+e^{-87+29 e^x} \left (4080 x^2 \log (x)-84320 x \log ^3(x)+278256 \log ^5(x)\right )+e^{-84+28 e^x} \left (-680 x^3+59160 x^2 \log ^2(x)-611320 x \log ^4(x)+1344904 \log ^6(x)\right )+e^{-81+27 e^x} \left (-19040 x^3 \log (x)+552160 x^2 \log ^3(x)-3423392 x \log ^5(x)+5379616 \log ^7(x)\right )+e^{-78+26 e^x} \left (2380 x^4-257040 x^3 \log ^2(x)+3727080 x^2 \log ^4(x)-15405264 x \log ^6(x)[phone] \log ^8(x)\right )+e^{-75+25 e^x} \left (61880 x^4 \log (x)-2227680 x^3 \log ^3(x)[phone] x^2 \log ^5(x)-57219552 x \log ^7(x)[phone] \log ^9(x)\right )+e^{-72+24 e^x} \left (-6188 x^5+773500 x^4 \log ^2(x)-13923000 x^3 \log ^4(x)[phone] x^2 \log ^6(x)-178811100 x \log ^8(x)[phone] \log ^{10}(x)\right )+e^{-69+23 e^x} \left (-148512 x^5 \log (x)+6188000 x^4 \log ^3(x)-66830400 x^3 \log ^5(x)[phone] x^2 \log ^7(x)-476829600 x \log ^9(x)[phone] \log ^{11}(x)\right )+e^{-66+22 e^x} \left (12376 x^6-1707888 x^5 \log ^2(x)[phone] x^4 \log ^4(x)-256183200 x^3 \log ^6(x)[phone] x^2 \log ^8(x)-1096708080 x \log ^{10}(x)[phone] \log ^{12}(x)\right )+e^{-63+21 e^x} \left (272272 x^6 \log (x)-12524512 x^5 \log ^3(x)[phone] x^4 \log ^5(x)-805147200 x^3 \log ^7(x)[phone] x^2 \log ^9(x)-2193416160 x \log ^{11}(x)[phone] \log ^{13}(x)\right )+e^{-60+20 e^x} \left (-19448 x^7+2858856 x^6 \log ^2(x)-65753688 x^5 \log ^4(x)[phone] x^4 \log ^6(x)-2113511400 x^3 \log ^8(x)[phone] x^2 \log ^{10}(x)-3838478280 x \log ^{12}(x)[phone] \log ^{14}(x)\right )+e^{-57+19 e^x} \left (-388960 x^7 \log (x)[phone] x^6 \log ^3(x)-263014752 x^5 \log ^5(x)[phone] x^4 \log ^7(x)-4696692000 x^3 \log ^9(x)[phone] x^2 \log ^{11}(x)-5905351200 x \log ^{13}(x)[phone] \log ^{15}(x)\right )+e^{-54+18 e^x} \left (24310 x^8-3695120 x^7 \log ^2(x)[phone] x^6 \log ^4(x)-832880048 x^5 \log ^6(x)[phone] x^4 \log ^8(x)-8923714800 x^3 \log ^{10}(x)[phone] x^2 \log ^{12}(x)-8014405200 x \log ^{14}(x)[phone] \log ^{16}(x)\right )+e^{-51+17 e^x} \left (437580 x^8 \log (x)-22170720 x^7 \log ^3(x)[phone] x^6 \log ^5(x)-2141691552 x^5 \log ^7(x)[phone] x^4 \log ^9(x)-14602442400 x^3 \log ^{11}(x)[phone] x^2 \log ^{13}(x)-9617286240 x \log ^{15}(x)[phone] \log ^{17}(x)\right )+e^{-48+16 e^x} \left (-24310 x^9+3719430 x^8 \log ^2(x)-94225560 x^7 \log ^4(x)[phone] x^6 \log ^6(x)-4551094548 x^5 \log ^8(x)[phone] x^4 \log ^{10}(x)-20686793400 x^3 \log ^{12}(x)[phone] x^2 \log ^{14}(x)-10218366630 x \log ^{16}(x)[phone] \log ^{18}(x)\right )+e^{-45+15 e^x} \left (-388960 x^9 \log (x)[phone] x^8 \log ^3(x)-301521792 x^7 \log ^5(x)[phone] x^6 \log ^7(x)-8090834752 x^5 \log ^9(x)[phone] x^4 \log ^{11}(x)-25460668800 x^3 \log ^{13}(x)[phone] x^2 \log ^{15}(x)-9617286240 x \log ^{17}(x)[phone] \log ^{19}(x)\right )+e^{-42+14 e^x} \left (19448 x^{10}-2917200 x^9 \log ^2(x)[phone] x^8 \log ^4(x)-753804480 x^7 \log ^6(x)[phone] x^6 \log ^8(x)-12136252128 x^5 \log ^{10}(x)[phone] x^4 \log ^{12}(x)-27279288000 x^3 \log ^{14}(x)[phone] x^2 \log ^{16}(x)-8014405200 x \log ^{18}(x)[phone] \log ^{20}(x)\right )+e^{-39+13 e^x} \left (272272 x^{10} \log (x)-13613600 x^9 \log ^3(x)[phone] x^8 \log ^5(x)-1507608960 x^7 \log ^7(x)[phone] x^6 \log ^9(x)-15446139072 x^5 \log ^{11}(x)[phone] x^4 \log ^{13}(x)-25460668800 x^3 \log ^{15}(x)[phone] x^2 \log ^{17}(x)-5905351200 x \log ^{19}(x)[phone] \log ^{21}(x)\right )+e^{-36+12 e^x} \left (-12376 x^{11}+1769768 x^{10} \log ^2(x)-44244200 x^9 \log ^4(x)[phone] x^8 \log ^6(x)-2449864560 x^7 \log ^8(x)[phone] x^6 \log ^{10}(x)-16733317328 x^5 \log ^{12}(x)[phone] x^4 \log ^{14}(x)-20686793400 x^3 \log ^{16}(x)[phone] x^2 \log ^{18}(x)-3838478280 x \log ^{20}(x)[phone] \log ^{22}(x)\right )+e^{-33+11 e^x} \left (-148512 x^{11} \log (x)+7079072 x^{10} \log ^3(x)-106186080 x^9 \log ^5(x)[phone] x^8 \log ^7(x)-3266486080 x^7 \log ^9(x)[phone] x^6 \log ^{11}(x)-15446139072 x^5 \log ^{13}(x)[phone] x^4 \log ^{15}(x)-14602442400 x^3 \log ^{17}(x)[phone] x^2 \log ^{19}(x)-2193416160 x \log ^{21}(x)[phone] \log ^{23}(x)\right )+e^{-30+10 e^x} \left (6188 x^{12}-816816 x^{11} \log ^2(x)[phone] x^{10} \log ^4(x)-194674480 x^9 \log ^6(x)[phone] x^8 \log ^8(x)-3593134688 x^7 \log ^{10}(x)[phone] x^6 \log ^{12}(x)-12136252128 x^5 \log ^{14}(x)[phone] x^4 \log ^{16}(x)-8923714800 x^3 \log ^{18}(x)[phone] x^2 \log ^{20}(x)-1096708080 x \log ^{22}(x)[phone] \log ^{24}(x)\right )+e^{-27+9 e^x} \left (61880 x^{12} \log (x)-2722720 x^{11} \log ^3(x)[phone] x^{10} \log ^5(x)-278106400 x^9 \log ^7(x)[phone] x^8 \log ^9(x)-3266486080 x^7 \log ^{11}(x)[phone] x^6 \log ^{13}(x)-8090834752 x^5 \log ^{15}(x)[phone] x^4 \log ^{17}(x)-4696692000 x^3 \log ^{19}(x)[phone] x^2 \log ^{21}(x)-476829600 x \log ^{23}(x)[phone] \log ^{25}(x)\right )+e^{-24+8 e^x} \left (-2380 x^{13}+278460 x^{12} \log ^2(x)-6126120 x^{11} \log ^4(x)[phone] x^{10} \log ^6(x)-312869700 x^9 \log ^8(x)[phone] x^8 \log ^{10}(x)-2449864560 x^7 \log ^{12}(x)[phone] x^6 \log ^{14}(x)-4551094548 x^5 \log ^{16}(x)[phone] x^4 \log ^{18}(x)-2113511400 x^3 \log ^{20}(x)[phone] x^2 \log ^{22}(x)-178811100 x \log ^{24}(x)[phone] \log ^{26}(x)\right )+e^{-21+7 e^x} \left (-19040 x^{13} \log (x)+742560 x^{12} \log ^3(x)-9801792 x^{11} \log ^5(x)[phone] x^{10} \log ^7(x)-278106400 x^9 \log ^9(x)[phone] x^8 \log ^{11}(x)-1507608960 x^7 \log ^{13}(x)[phone] x^6 \log ^{15}(x)-2141691552 x^5 \log ^{17}(x)[phone] x^4 \log ^{19}(x)-805147200 x^3 \log ^{21}(x)[phone] x^2 \log ^{23}(x)-57219552 x \log ^{25}(x)+5379616 \log ^{27}(x)\right )+e^{-18+6 e^x} \left (680 x^{14}-66640 x^{13} \log ^2(x)+1299480 x^{12} \log ^4(x)-11435424 x^{11} \log ^6(x)[phone] x^{10} \log ^8(x)-194674480 x^9 \log ^{10}(x)[phone] x^8 \log ^{12}(x)-753804480 x^7 \log ^{14}(x)[phone] x^6 \log ^{16}(x)-832880048 x^5 \log ^{18}(x)[phone] x^4 \log ^{20}(x)-256183200 x^3 \log ^{22}(x)[phone] x^2 \log ^{24}(x)-15405264 x \log ^{26}(x)+1344904 \log ^{28}(x)\right )+e^{-15+5 e^x} \left (4080 x^{14} \log (x)-133280 x^{13} \log ^3(x)+1559376 x^{12} \log ^5(x)-9801792 x^{11} \log ^7(x)[phone] x^{10} \log ^9(x)-106186080 x^9 \log ^{11}(x)[phone] x^8 \log ^{13}(x)-301521792 x^7 \log ^{15}(x)[phone] x^6 \log ^{17}(x)-263014752 x^5 \log ^{19}(x)[phone] x^4 \log ^{21}(x)-66830400 x^3 \log ^{23}(x)[phone] x^2 \log ^{25}(x)-3423392 x \log ^{27}(x)+278256 \log ^{29}(x)\right )+e^{-12+4 e^x} \left (-136 x^{15}+10200 x^{14} \log ^2(x)-166600 x^{13} \log ^4(x)+1299480 x^{12} \log ^6(x)-6126120 x^{11} \log ^8(x)[phone] x^{10} \log ^{10}(x)-44244200 x^9 \log ^{12}(x)[phone] x^8 \log ^{14}(x)-94225560 x^7 \log ^{16}(x)[phone] x^6 \log ^{18}(x)-65753688 x^5 \log ^{20}(x)[phone] x^4 \log ^{22}(x)-13923000 x^3 \log ^{24}(x)+3727080 x^2 \log ^{26}(x)-611320 x \log ^{28}(x)+46376 \log ^{30}(x)\right )+e^{-9+3 e^x} \left (-544 x^{15} \log (x)+13600 x^{14} \log ^3(x)-133280 x^{13} \log ^5(x)+742560 x^{12} \log ^7(x)-2722720 x^{11} \log ^9(x)+7079072 x^{10} \log ^{11}(x)-13613600 x^9 \log ^{13}(x)[phone] x^8 \log ^{15}(x)-22170720 x^7 \log ^{17}(x)[phone] x^6 \log ^{19}(x)-12524512 x^5 \log ^{21}(x)+6188000 x^4 \log ^{23}(x)-2227680 x^3 \log ^{25}(x)+552160 x^2 \log ^{27}(x)-84320 x \log ^{29}(x)+5984 \log ^{31}(x)\right )+e^{-6+2 e^x} \left (17 x^{16}-816 x^{15} \log ^2(x)+10200 x^{14} \log ^4(x)-66640 x^{13} \log ^6(x)+278460 x^{12} \log ^8(x)-816816 x^{11} \log ^{10}(x)+1769768 x^{10} \log ^{12}(x)-2917200 x^9 \log ^{14}(x)+3719430 x^8 \log ^{16}(x)-3695120 x^7 \log ^{18}(x)+2858856 x^6 \log ^{20}(x)-1707888 x^5 \log ^{22}(x)+773500 x^4 \log ^{24}(x)-257040 x^3 \log ^{26}(x)+59160 x^2 \log ^{28}(x)-8432 x \log ^{30}(x)+561 \log ^{32}(x)\right )+e^{-3+e^x} \left (34 x^{16} \log (x)-544 x^{15} \log ^3(x)+4080 x^{14} \log ^5(x)-19040 x^{13} \log ^7(x)+61880 x^{12} \log ^9(x)-148512 x^{11} \log ^{11}(x)+272272 x^{10} \log ^{13}(x)-388960 x^9 \log ^{15}(x)+437580 x^8 \log ^{17}(x)-388960 x^7 \log ^{19}(x)+272272 x^6 \log ^{21}(x)-148512 x^5 \log ^{23}(x)+61880 x^4 \log ^{25}(x)-19040 x^3 \log ^{27}(x)+4080 x^2 \log ^{29}(x)-544 x \log ^{31}(x)+34 \log ^{33}(x)\right )} \, dx \]

Optimal antiderivative \[ \frac {2 x}{\left (\left (\ln \left (x \right )+{\mathrm e}^{{\mathrm e}^{x}-3}\right )^{2}-x \right )^{16}} \]

command

integrate(((-64*exp(x)*x+2)*exp(exp(x)-3)**2+((-64*exp(x)*x+4)*ln(x)-64)*exp(exp(x)-3)+2*ln(x)**2-64*ln(x)+30*x)/(ln(x)**34+exp(exp(x)-3)**34+(561*ln(x)**2-17*x)*exp(exp(x)-3)**32+(5984*ln(x)**3-544*x*ln(x))*exp(exp(x)-3)**31+(46376*ln(x)**4-8432*x*ln(x)**2+136*x**2)*exp(exp(x)-3)**30+(278256*ln(x)**5-84320*x*ln(x)**3+4080*x**2*ln(x))*exp(exp(x)-3)**29+(1344904*ln(x)**6-611320*x*ln(x)**4+59160*x**2*ln(x)**2-680*x**3)*exp(exp(x)-3)**28+(5379616*ln(x)**7-3423392*x*ln(x)**5+552160*x**2*ln(x)**3-19040*x**3*ln(x))*exp(exp(x)-3)**27+(18156204*ln(x)**8-15405264*x*ln(x)**6+3727080*x**2*ln(x)**4-257040*x**3*ln(x)**2+2380*x**4)*exp(exp(x)-3)**26+(52451256*ln(x)**9-57219552*x*ln(x)**7+19380816*x**2*ln(x)**5-2227680*x**3*ln(x)**3+61880*x**4*ln(x))*exp(exp(x)-3)**25+(131128140*ln(x)**10-178811100*x*ln(x)**8+80753400*x**2*ln(x)**6-13923000*x**3*ln(x)**4+773500*x**4*ln(x)**2-6188*x**5)*exp(exp(x)-3)**24+(286097760*ln(x)**11-476829600*x*ln(x)**9+276868800*x**2*ln(x)**7-66830400*x**3*ln(x)**5+6188000*x**4*ln(x)**3-148512*x**5*ln(x))*exp(exp(x)-3)**23+(548354040*ln(x)**12-1096708080*x*ln(x)**10+795997800*x**2*ln(x)**8-256183200*x**3*ln(x)**6+35581000*x**4*ln(x)**4-1707888*x**5*ln(x)**2+12376*x**6)*exp(exp(x)-3)**22-x**17+(927983760*ln(x)**13-2193416160*x*ln(x)**11+1945772400*x**2*ln(x)**9-805147200*x**3*ln(x)**7+156556400*x**4*ln(x)**5-12524512*x**5*ln(x)**3+272272*x**6*ln(x))*exp(exp(x)-3)**21+(1391975640*ln(x)**14-3838478280*x*ln(x)**12+4086122040*x**2*ln(x)**10-2113511400*x**3*ln(x)**8+547947400*x**4*ln(x)**6-65753688*x**5*ln(x)**4+2858856*x**6*ln(x)**2-19448*x**7)*exp(exp(x)-3)**20+(1855967520*ln(x)**15-5905351200*x*ln(x)**13+7429312800*x**2*ln(x)**11-4696692000*x**3*ln(x)**9+1565564000*x**4*ln(x)**7-263014752*x**5*ln(x)**5+19059040*x**6*ln(x)**3-388960*x**7*ln(x))*exp(exp(x)-3)**19+(2203961430*ln(x)**16-8014405200*x*ln(x)**14+11763078600*x**2*ln(x)**12-8923714800*x**3*ln(x)**10+3718214500*x**4*ln(x)**8-832880048*x**5*ln(x)**6+90530440*x**6*ln(x)**4-3695120*x**7*ln(x)**2+24310*x**8)*exp(exp(x)-3)**18+(2333606220*ln(x)**17-9617286240*x*ln(x)**15+16287339600*x**2*ln(x)**13-14602442400*x**3*ln(x)**11+7436429000*x**4*ln(x)**9-2141691552*x**5*ln(x)**7+325909584*x**6*ln(x)**5-22170720*x**7*ln(x)**3+437580*x**8*ln(x))*exp(exp(x)-3)**17+(2203961430*ln(x)**18-10218366630*x*ln(x)**16+19777483800*x**2*ln(x)**14-20686793400*x**3*ln(x)**12+12641929300*x**4*ln(x)**10-4551094548*x**5*ln(x)**8+923410488*x**6*ln(x)**6-94225560*x**7*ln(x)**4+3719430*x**8*ln(x)**2-24310*x**9)*exp(exp(x)-3)**16+(1855967520*ln(x)**19-9617286240*x*ln(x)**17+21095982720*x**2*ln(x)**15-25460668800*x**3*ln(x)**13+18388260800*x**4*ln(x)**11-8090834752*x**5*ln(x)**9+2110652544*x**6*ln(x)**7-301521792*x**7*ln(x)**5+19836960*x**8*ln(x)**3-388960*x**9*ln(x))*exp(exp(x)-3)**15+(1391975640*ln(x)**20-8014405200*x*ln(x)**18+19777483800*x**2*ln(x)**16-27279288000*x**3*ln(x)**14+22985326000*x**4*ln(x)**12-12136252128*x**5*ln(x)**10+3957473520*x**6*ln(x)**8-753804480*x**7*ln(x)**6+74388600*x**8*ln(x)**4-2917200*x**9*ln(x)**2+19448*x**10)*exp(exp(x)-3)**14+(927983760*ln(x)**21-5905351200*x*ln(x)**19+16287339600*x**2*ln(x)**17-25460668800*x**3*ln(x)**15+24753428000*x**4*ln(x)**13-15446139072*x**5*ln(x)**11+6156069920*x**6*ln(x)**9-1507608960*x**7*ln(x)**7+208288080*x**8*ln(x)**5-13613600*x**9*ln(x)**3+272272*x**10*ln(x))*exp(exp(x)-3)**13+(548354040*ln(x)**22-3838478280*x*ln(x)**20+11763078600*x**2*ln(x)**18-20686793400*x**3*ln(x)**16+22985326000*x**4*ln(x)**14-16733317328*x**5*ln(x)**12+8002890896*x**6*ln(x)**10-2449864560*x**7*ln(x)**8+451290840*x**8*ln(x)**6-44244200*x**9*ln(x)**4+1769768*x**10*ln(x)**2-12376*x**11)*exp(exp(x)-3)**12+(286097760*ln(x)**23-2193416160*x*ln(x)**21+7429312800*x**2*ln(x)**19-14602442400*x**3*ln(x)**17+18388260800*x**4*ln(x)**15-15446139072*x**5*ln(x)**13+8730426432*x**6*ln(x)**11-3266486080*x**7*ln(x)**9+773641440*x**8*ln(x)**7-106186080*x**9*ln(x)**5+7079072*x**10*ln(x)**3-148512*x**11*ln(x))*exp(exp(x)-3)**11+(131128140*ln(x)**24-1096708080*x*ln(x)**22+4086122040*x**2*ln(x)**20-8923714800*x**3*ln(x)**18+12641929300*x**4*ln(x)**16-12136252128*x**5*ln(x)**14+8002890896*x**6*ln(x)**12-3593134688*x**7*ln(x)**10+1063756980*x**8*ln(x)**8-194674480*x**9*ln(x)**6+19467448*x**10*ln(x)**4-816816*x**11*ln(x)**2+6188*x**12)*exp(exp(x)-3)**10+(52451256*ln(x)**25-476829600*x*ln(x)**23+1945772400*x**2*ln(x)**21-4696692000*x**3*ln(x)**19+7436429000*x**4*ln(x)**17-8090834752*x**5*ln(x)**15+6156069920*x**6*ln(x)**13-3266486080*x**7*ln(x)**11+1181952200*x**8*ln(x)**9-278106400*x**9*ln(x)**7+38934896*x**10*ln(x)**5-2722720*x**11*ln(x)**3+61880*x**12*ln(x))*exp(exp(x)-3)**9+(18156204*ln(x)**26-178811100*x*ln(x)**24+795997800*x**2*ln(x)**22-2113511400*x**3*ln(x)**20+3718214500*x**4*ln(x)**18-4551094548*x**5*ln(x)**16+3957473520*x**6*ln(x)**14-2449864560*x**7*ln(x)**12+1063756980*x**8*ln(x)**10-312869700*x**9*ln(x)**8+58402344*x**10*ln(x)**6-6126120*x**11*ln(x)**4+278460*x**12*ln(x)**2-2380*x**13)*exp(exp(x)-3)**8+(5379616*ln(x)**27-57219552*x*ln(x)**25+276868800*x**2*ln(x)**23-805147200*x**3*ln(x)**21+1565564000*x**4*ln(x)**19-2141691552*x**5*ln(x)**17+2110652544*x**6*ln(x)**15-1507608960*x**7*ln(x)**13+773641440*x**8*ln(x)**11-278106400*x**9*ln(x)**9+66745536*x**10*ln(x)**7-9801792*x**11*ln(x)**5+742560*x**12*ln(x)**3-19040*x**13*ln(x))*exp(exp(x)-3)**7+(1344904*ln(x)**28-15405264*x*ln(x)**26+80753400*x**2*ln(x)**24-256183200*x**3*ln(x)**22+547947400*x**4*ln(x)**20-832880048*x**5*ln(x)**18+923410488*x**6*ln(x)**16-753804480*x**7*ln(x)**14+451290840*x**8*ln(x)**12-194674480*x**9*ln(x)**10+58402344*x**10*ln(x)**8-11435424*x**11*ln(x)**6+1299480*x**12*ln(x)**4-66640*x**13*ln(x)**2+680*x**14)*exp(exp(x)-3)**6+(278256*ln(x)**29-3423392*x*ln(x)**27+19380816*x**2*ln(x)**25-66830400*x**3*ln(x)**23+156556400*x**4*ln(x)**21-263014752*x**5*ln(x)**19+325909584*x**6*ln(x)**17-301521792*x**7*ln(x)**15+208288080*x**8*ln(x)**13-106186080*x**9*ln(x)**11+38934896*x**10*ln(x)**9-9801792*x**11*ln(x)**7+1559376*x**12*ln(x)**5-133280*x**13*ln(x)**3+4080*x**14*ln(x))*exp(exp(x)-3)**5+(46376*ln(x)**30-611320*x*ln(x)**28+3727080*x**2*ln(x)**26-13923000*x**3*ln(x)**24+35581000*x**4*ln(x)**22-65753688*x**5*ln(x)**20+90530440*x**6*ln(x)**18-94225560*x**7*ln(x)**16+74388600*x**8*ln(x)**14-44244200*x**9*ln(x)**12+19467448*x**10*ln(x)**10-6126120*x**11*ln(x)**8+1299480*x**12*ln(x)**6-166600*x**13*ln(x)**4+10200*x**14*ln(x)**2-136*x**15)*exp(exp(x)-3)**4+(5984*ln(x)**31-84320*x*ln(x)**29+552160*x**2*ln(x)**27-2227680*x**3*ln(x)**25+6188000*x**4*ln(x)**23-12524512*x**5*ln(x)**21+19059040*x**6*ln(x)**19-22170720*x**7*ln(x)**17+19836960*x**8*ln(x)**15-13613600*x**9*ln(x)**13+7079072*x**10*ln(x)**11-2722720*x**11*ln(x)**9+742560*x**12*ln(x)**7-133280*x**13*ln(x)**5+13600*x**14*ln(x)**3-544*x**15*ln(x))*exp(exp(x)-3)**3+(561*ln(x)**32-8432*x*ln(x)**30+59160*x**2*ln(x)**28-257040*x**3*ln(x)**26+773500*x**4*ln(x)**24-1707888*x**5*ln(x)**22+2858856*x**6*ln(x)**20-3695120*x**7*ln(x)**18+3719430*x**8*ln(x)**16-2917200*x**9*ln(x)**14+1769768*x**10*ln(x)**12-816816*x**11*ln(x)**10+278460*x**12*ln(x)**8-66640*x**13*ln(x)**6+10200*x**14*ln(x)**4-816*x**15*ln(x)**2+17*x**16)*exp(exp(x)-3)**2+(34*ln(x)**33-544*x*ln(x)**31+4080*x**2*ln(x)**29-19040*x**3*ln(x)**27+61880*x**4*ln(x)**25-148512*x**5*ln(x)**23+272272*x**6*ln(x)**21-388960*x**7*ln(x)**19+437580*x**8*ln(x)**17-388960*x**9*ln(x)**15+272272*x**10*ln(x)**13-148512*x**11*ln(x)**11+61880*x**12*ln(x)**9-19040*x**13*ln(x)**7+4080*x**14*ln(x)**5-544*x**15*ln(x)**3+34*x**16*ln(x))*exp(exp(x)-3)-17*x*ln(x)**32+136*x**2*ln(x)**30-680*x**3*ln(x)**28+2380*x**4*ln(x)**26-6188*x**5*ln(x)**24+12376*x**6*ln(x)**22-19448*x**7*ln(x)**20+24310*x**8*ln(x)**18-24310*x**9*ln(x)**16+19448*x**10*ln(x)**14-12376*x**11*ln(x)**12+6188*x**12*ln(x)**10-2380*x**13*ln(x)**8+680*x**14*ln(x)**6-136*x**15*ln(x)**4+17*x**16*ln(x)**2+34*ln(x)*exp(exp(x)-3)**33),x)

Sympy 1.10.1 under Python 3.10.4 output

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Sympy 1.8 under Python 3.8.8 output \[ \text {Timed out} \]_____________________________________________________