Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 1748 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.497 | 23.817 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 310 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 14.390 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 15 | 14 | 16 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.07 | 1.00 | 1.14 |
time (sec) |
N/A | 0.180 | 1.574 | 0.324 | 0.556 | 0.000 | 0.342 | 0.510 | 14.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 310 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 15.336 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 15 | 14 | 16 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.07 | 1.00 | 1.14 |
time (sec) |
N/A | 0.181 | 1.727 | 0.341 | 0.561 | 0.000 | 0.378 | 0.915 | 14.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 10343 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 94.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 47.202 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 15 | 14 | 16 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.07 | 1.00 | 1.14 |
time (sec) |
N/A | 0.186 | 91.411 | 0.340 | 0.571 | 0.000 | 1.255 | 0.882 | 15.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 378 | 367 | 21987 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 58.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.179 | 44.234 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 307 | 304 | 19126 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 62.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.801 | 44.100 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 289 | 283 | 7325 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 25.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.736 | 46.960 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 10363 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 94.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 49.842 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 15 | 14 | 16 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.07 | 1.00 | 1.14 |
time (sec) |
N/A | 0.174 | 95.807 | 0.353 | 0.567 | 0.000 | 2.158 | 2.112 | 15.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 195 | 4543 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 26.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 38.302 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 195 | 4544 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 26.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.585 | 38.041 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 195 | 7542 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 43.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.603 | 84.739 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 195 | 7588 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 43.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 82.398 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.232 | 0.000 | 0.512 | 0.782 | 0.362 | 0.000 | 1.180 | 14.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.237 | 0.000 | 0.475 | 0.796 | 0.418 | 0.000 | 0.979 | 14.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.234 | 105.480 | 0.523 | 0.781 | 0.375 | 0.000 | 0.775 | 14.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.232 | 135.587 | 0.467 | 0.745 | 1.123 | 9.412 | 1.155 | 14.513 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.230 | 22.268 | 0.466 | 0.740 | 0.461 | 1.102 | 0.864 | 14.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.232 | 89.468 | 0.501 | 0.763 | 1.062 | 0.669 | 1.207 | 14.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.229 | 100.394 | 0.492 | 0.756 | 0.671 | 0.689 | 1.589 | 13.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.232 | 88.292 | 0.481 | 0.792 | 1.101 | 3.984 | 0.915 | 15.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.228 | 146.018 | 0.481 | 0.786 | 0.725 | 11.370 | 1.175 | 14.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.234 | 162.745 | 0.463 | 0.806 | 1.045 | 0.000 | 1.237 | 16.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 44 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 1.76 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.231 | 0.000 | 0.438 | 0.804 | 0.330 | 0.000 | 2.721 | 16.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 42 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.68 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.235 | 137.532 | 0.438 | 0.803 | 0.397 | 0.000 | 2.342 | 15.685 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 42 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.68 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.229 | 104.903 | 0.428 | 0.775 | 0.334 | 0.000 | 1.662 | 15.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.235 | 135.554 | 0.482 | 0.739 | 1.049 | 0.000 | 2.308 | 14.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.228 | 94.476 | 0.405 | 0.735 | 0.681 | 0.000 | 1.667 | 15.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.229 | 177.248 | 0.403 | 0.751 | 1.048 | 21.790 | 235.741 | 15.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.233 | 105.908 | 0.435 | 0.760 | 0.656 | 13.330 | 157.945 | 13.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.230 | 87.885 | 0.393 | 0.796 | 1.106 | 32.529 | 178.249 | 14.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.92 | 1.08 |
time (sec) |
N/A | 0.236 | 172.173 | 0.440 | 0.778 | 0.704 | 78.967 | 144.137 | 12.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 23 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 0.92 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.235 | 0.000 | 0.391 | 0.789 | 1.051 | 0.000 | 147.930 | 15.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 60 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.40 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.237 | 168.432 | 0.434 | 2.477 | 0.344 | 0.000 | 4.420 | 16.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.32 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.234 | 131.812 | 0.477 | 2.468 | 0.412 | 0.000 | 4.269 | 16.403 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.32 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.235 | 125.057 | 0.434 | 2.199 | 0.339 | 0.000 | 2.819 | 16.404 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 49 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.96 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.236 | 127.237 | 0.471 | 2.136 | 1.071 | 0.000 | 4.485 | 16.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 49 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.96 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.231 | 107.663 | 0.489 | 2.000 | 0.711 | 0.000 | 2.858 | 16.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 49 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 1.96 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.240 | 0.000 | 0.426 | 2.079 | 1.083 | 0.000 | 0.000 | 17.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 49 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.96 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.231 | 159.669 | 0.415 | 2.113 | 0.757 | 0.000 | 0.000 | 14.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 49 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.96 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.243 | 167.847 | 0.437 | 2.102 | 1.056 | 0.000 | 0.000 | 17.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 49 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 1.96 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.238 | 0.000 | 0.441 | 2.108 | 0.698 | 0.000 | 0.000 | 14.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 0 | 21 | 23 | 49 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 0.00 | 0.84 | 0.92 | 1.96 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.235 | 0.000 | 0.452 | 2.149 | 1.137 | 0.000 | 0.000 | 17.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.232 | 105.062 | 0.472 | 0.767 | 0.332 | 0.000 | 0.000 | 15.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.230 | 124.662 | 0.410 | 0.778 | 0.367 | 0.000 | 0.000 | 15.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.236 | 17.638 | 0.484 | 0.805 | 0.321 | 123.114 | 0.000 | 15.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.233 | 17.873 | 0.501 | 0.747 | 1.209 | 2.963 | 0.000 | 15.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 23 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 0.92 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.232 | 2.330 | 0.406 | 0.744 | 0.474 | 1.142 | 0.000 | 15.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 44 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.76 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.233 | 3.584 | 0.471 | 0.762 | 1.097 | 0.717 | 0.000 | 16.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 44 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.76 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.226 | 103.358 | 0.454 | 0.764 | 0.687 | 1.536 | 0.000 | 14.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 46 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.84 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.229 | 107.784 | 0.473 | 0.809 | 1.047 | 12.067 | 0.000 | 17.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 46 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.84 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.227 | 122.161 | 0.555 | 1.302 | 0.766 | 28.316 | 0.000 | 14.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 46 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 1.84 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.232 | 138.691 | 0.468 | 1.308 | 1.123 | 0.000 | 0.000 | 17.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 51 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.04 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.244 | 135.060 | 0.477 | 0.757 | 0.367 | 0.000 | 0.000 | 16.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 51 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.04 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 143.550 | 0.409 | 0.766 | 0.405 | 0.000 | 0.000 | 16.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 51 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.04 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.231 | 125.267 | 0.448 | 0.774 | 0.387 | 137.513 | 0.000 | 16.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 51 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.04 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 140.734 | 0.468 | 0.737 | 1.128 | 10.725 | 0.000 | 16.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 51 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.04 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.235 | 120.847 | 0.444 | 0.743 | 0.749 | 3.919 | 0.000 | 16.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 60 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.40 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 126.558 | 0.390 | 0.760 | 1.106 | 5.040 | 0.000 | 17.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 60 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.40 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.236 | 128.176 | 0.481 | 1.279 | 0.875 | 12.661 | 0.000 | 14.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 62 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.48 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 142.497 | 0.464 | 1.296 | 1.174 | 72.583 | 0.000 | 16.737 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 62 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.48 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.238 | 110.662 | 0.474 | 1.307 | 0.975 | 166.153 | 0.000 | 13.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 62 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.48 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.241 | 147.763 | 0.432 | 1.310 | 1.110 | 0.000 | 0.000 | 18.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 67 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.68 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.244 | 129.791 | 0.478 | 0.761 | 0.451 | 0.000 | 0.000 | 17.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 67 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.68 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.242 | 148.846 | 0.459 | 0.780 | 0.415 | 0.000 | 0.000 | 18.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 67 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.68 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.241 | 126.546 | 0.403 | 0.800 | 0.444 | 0.000 | 0.000 | 17.974 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 67 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.68 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.238 | 144.619 | 0.481 | 0.753 | 1.103 | 62.853 | 0.000 | 19.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 67 | 24 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 2.68 | 0.96 | 0.00 | 1.08 |
time (sec) |
N/A | 0.236 | 131.283 | 0.477 | 1.282 | 1.194 | 25.263 | 0.000 | 19.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 76 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 3.04 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.242 | 148.092 | 0.395 | 1.280 | 1.126 | 78.157 | 0.000 | 17.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 76 | 26 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 3.04 | 1.04 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 135.389 | 0.476 | 1.293 | 1.619 | 166.166 | 0.000 | 14.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 78 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 3.12 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.239 | 153.892 | 0.481 | 1.331 | 1.143 | 0.000 | 0.000 | 19.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 78 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 3.12 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.239 | 114.955 | 0.390 | 2.278 | 2.142 | 0.000 | 0.000 | 14.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 21 | 23 | 78 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 1.08 | 0.84 | 0.92 | 3.12 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.237 | 160.987 | 0.406 | 2.320 | 1.170 | 0.000 | 0.000 | 19.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 251 | 261 | 231 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.386 | 0.928 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 181 | 180 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.787 | 0.347 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 107 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 0.168 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 192 | 207 | 5280 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 27.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.697 | 35.149 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 299 | 310 | 13816 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 46.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.823 | 52.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 25 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.00 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.241 | 88.891 | 0.679 | 1.066 | 0.283 | 26.361 | 0.981 | 15.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 25 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.00 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.240 | 0.934 | 0.680 | 1.052 | 0.287 | 0.604 | 0.548 | 14.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 25 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.00 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.246 | 22.050 | 0.650 | 1.078 | 0.275 | 0.432 | 0.688 | 15.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 53 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 2.12 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.251 | 22.405 | 0.561 | 1.064 | 0.313 | 1.638 | 1.102 | 17.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 23 | 23 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.95 | 1.10 | 1.29 |
time (sec) |
N/A | 0.222 | 8.388 | 0.617 | 1.244 | 0.300 | 5.622 | 0.513 | 15.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 25 | 25 | 22 | 25 | 29 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.09 | 0.96 | 1.09 | 1.26 |
time (sec) |
N/A | 0.230 | 1.203 | 0.580 | 1.248 | 0.289 | 5.656 | 0.544 | 15.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 8899 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 32.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.756 | 27.249 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 5564 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 25.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.478 | 23.088 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 2828 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 27.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.261 | 15.549 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 12 | 14 | 14 | 12 | 14 | 16 |
N.S. |
1 | 1.00 | 1.17 | 1.00 | 1.17 | 1.17 | 1.00 | 1.17 | 1.33 |
time (sec) |
N/A | 0.180 | 6.649 | 0.596 | 1.029 | 0.261 | 0.772 | 0.384 | 14.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 19 | 21 | 21 | 19 | 21 | 23 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.11 | 1.11 | 1.00 | 1.11 | 1.21 |
time (sec) |
N/A | 0.210 | 13.483 | 0.563 | 1.561 | 0.262 | 7.936 | 0.472 | 14.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 23 | 23 | 20 | 23 | 25 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.95 | 1.10 | 1.19 |
time (sec) |
N/A | 0.218 | 14.317 | 1.683 | 2.221 | 0.283 | 37.774 | 0.490 | 14.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 145 | 90 | 318 | 0 | 159 | 0 | 0 | 87 |
N.S. |
1 | 1.07 | 0.67 | 2.36 | 0.00 | 1.18 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.591 | 0.476 | 12.217 | 0.000 | 0.102 | 0.000 | 0.000 | 14.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 117 | 77 | 290 | 0 | 148 | 0 | 0 | 87 |
N.S. |
1 | 1.05 | 0.69 | 2.61 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.561 | 0.613 | 10.972 | 0.000 | 0.096 | 0.000 | 0.000 | 14.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 89 | 66 | 262 | 0 | 137 | 0 | 0 | 80 |
N.S. |
1 | 1.02 | 0.76 | 3.01 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.448 | 0.320 | 9.102 | 0.000 | 0.099 | 0.000 | 0.000 | 14.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 62 | 53 | 228 | 0 | 125 | 0 | 0 | 53 |
N.S. |
1 | 1.02 | 0.87 | 3.74 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.424 | 0.171 | 7.037 | 0.000 | 0.092 | 0.000 | 0.000 | 0.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 152 | 0 | 107 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 0.91 | 4.34 | 0.00 | 3.06 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.347 | 0.216 | 4.544 | 0.000 | 0.093 | 0.000 | 0.000 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 58 | 51 | 150 | 0 | 156 | 0 | 0 | 60 |
N.S. |
1 | 1.02 | 0.89 | 2.63 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.423 | 0.240 | 5.725 | 0.000 | 0.090 | 0.000 | 0.000 | 14.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 85 | 65 | 396 | 0 | 175 | 0 | 0 | 87 |
N.S. |
1 | 1.02 | 0.78 | 4.77 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.460 | 0.528 | 11.237 | 0.000 | 0.102 | 0.000 | 0.000 | 14.955 |