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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 425 | 477 | 1141 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 2.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.312 | 0.365 | 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 | C | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 518 | 570 | 1211 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 2.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.410 | 2.517 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 591 | 663 | 1447 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.783 | 6.340 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 553 | 621 | 1410 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 2.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.651 | 2.936 | 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 | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 125 | 271 | 271 | 0 | 615 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 1.95 | 1.95 | 0.00 | 4.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 0.792 | 6.219 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 515 | 571 | 1428 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 2.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.510 | 4.411 | 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 | C | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 756 | 816 | 1593 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.646 | 6.071 | 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 | C | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 719 | 775 | 1442 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.604 | 2.774 | 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 | C | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 713 | 769 | 1437 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.426 | 4.777 | 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 | C | F | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 758 | 818 | 1487 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.557 | 2.833 | 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 | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 694 | 766 | 2023 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.924 | 7.894 | 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 | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 153 | 375 | 967 | 0 | 1381 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 2.25 | 5.79 | 0.00 | 8.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.366 | 1.356 | 7.626 | 0.000 | 0.431 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 202 | 368 | 916 | 0 | 1256 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.80 | 4.47 | 0.00 | 6.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.394 | 0.963 | 6.258 | 0.000 | 0.414 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 657 | 717 | 2081 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 3.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.728 | 6.085 | 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 | C | F | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1106 | 1170 | 2045 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.054 | 6.097 | 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 | C | F | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1106 | 1170 | 2053 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.074 | 6.101 | 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 | C | F | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1096 | 1160 | 2038 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.904 | 6.065 | 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 | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 413 | 374 | 324 | 0 | 0 | 1951 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.78 | 0.00 | 0.00 | 4.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.598 | 2.204 | 0.000 | 0.000 | 1.491 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 302 | 273 | 263 | 0 | 0 | 1625 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.87 | 0.00 | 0.00 | 5.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 2.541 | 0.000 | 0.000 | 0.747 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 203 | 186 | 233 | 0 | 0 | 1342 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.15 | 0.00 | 0.00 | 6.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 1.998 | 0.000 | 0.000 | 0.457 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 23 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.279 | 8.125 | 0.158 | 0.000 | 0.251 | 9.078 | 0.286 | 5.959 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 23 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.279 | 12.765 | 0.155 | 0.000 | 0.261 | 14.538 | 0.265 | 5.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 27 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.17 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.270 | 10.195 | 0.167 | 0.000 | 0.254 | 25.628 | 0.272 | 5.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 20 | 19 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.00 | 0.95 | 1.00 | 1.20 |
time (sec) |
N/A | 0.215 | 4.211 | 0.157 | 0.000 | 0.254 | 6.364 | 0.279 | 5.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 23 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.268 | 2.696 | 0.164 | 0.000 | 0.261 | 7.143 | 0.267 | 5.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 389 | 337 | 237 | 0 | 0 | 275 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.61 | 0.00 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.615 | 11.029 | 0.000 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 527 | 447 | 314 | 0 | 0 | 377 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.60 | 0.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.864 | 11.986 | 0.000 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 384 | 348 | 303 | 0 | 0 | 1943 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.79 | 0.00 | 0.00 | 5.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.679 | 2.535 | 0.000 | 0.000 | 1.366 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 270 | 248 | 246 | 0 | 0 | 1625 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.91 | 0.00 | 0.00 | 6.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 2.500 | 0.000 | 0.000 | 0.724 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 40 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.305 | 9.472 | 0.164 | 0.000 | 0.266 | 65.481 | 0.312 | 5.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.303 | 13.495 | 0.157 | 0.000 | 0.258 | 62.326 | 0.279 | 5.931 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 43 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.87 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.304 | 10.481 | 0.157 | 0.000 | 0.249 | 0.000 | 0.285 | 5.850 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 37 | 19 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.85 | 0.95 | 1.00 | 1.20 |
time (sec) |
N/A | 0.228 | 5.147 | 0.151 | 0.000 | 0.252 | 62.908 | 0.299 | 6.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.283 | 8.947 | 0.155 | 0.000 | 0.257 | 57.978 | 0.285 | 6.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.285 | 19.194 | 0.164 | 0.000 | 0.261 | 66.787 | 0.266 | 6.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 492 | 417 | 291 | 0 | 0 | 374 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.59 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.821 | 12.079 | 0.000 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 643 | 542 | 372 | 0 | 0 | 486 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.58 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.980 | 12.233 | 0.000 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 329 | 300 | 281 | 0 | 0 | 1633 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.85 | 0.00 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.377 | 3.034 | 0.000 | 0.000 | 0.740 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 229 | 208 | 236 | 0 | 0 | 1341 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 1.03 | 0.00 | 0.00 | 5.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.496 | 1.736 | 0.000 | 0.000 | 0.466 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 131 | 108 | 0 | 0 | 1064 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.80 | 0.00 | 0.00 | 7.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.611 | 0.000 | 0.000 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 31 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.35 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.283 | 1.720 | 0.202 | 0.000 | 0.255 | 7.469 | 0.280 | 5.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 33 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.43 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.305 | 7.413 | 0.169 | 0.000 | 0.266 | 28.520 | 0.292 | 5.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 27 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.17 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.281 | 10.027 | 0.139 | 0.000 | 0.260 | 13.925 | 0.277 | 5.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 20 | 19 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.00 | 0.95 | 1.00 | 1.20 |
time (sec) |
N/A | 0.216 | 1.113 | 0.159 | 0.000 | 0.264 | 3.109 | 0.269 | 5.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 294 | 267 | 139 | 0 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.47 | 0.00 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.529 | 2.295 | 0.000 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 425 | 368 | 239 | 0 | 0 | 274 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.56 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.677 | 8.290 | 0.000 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 256 | 235 | 260 | 0 | 0 | 1719 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.02 | 0.00 | 0.00 | 6.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.364 | 1.841 | 0.000 | 0.000 | 0.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 160 | 155 | 191 | 0 | 0 | 1274 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.19 | 0.00 | 0.00 | 7.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.450 | 1.473 | 0.000 | 0.000 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 79 | 0 | 0 | 368 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 4.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.353 | 0.000 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 42 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.83 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.287 | 11.181 | 0.164 | 0.000 | 0.263 | 70.168 | 0.285 | 6.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 44 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.91 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.309 | 14.578 | 0.160 | 0.000 | 0.252 | 0.000 | 0.270 | 5.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 47 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.04 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.282 | 15.248 | 0.156 | 0.000 | 0.260 | 134.918 | 0.293 | 6.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | 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 | 21 | 0 | 47 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.04 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.277 | 7.676 | 0.179 | 0.000 | 0.263 | 33.944 | 0.286 | 5.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 113 | 0 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 2.068 | 0.000 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 321 | 291 | 201 | 0 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.63 | 0.00 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.562 | 6.480 | 0.000 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 251 | 225 | 241 | 0 | 0 | 2421 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.96 | 0.00 | 0.00 | 9.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.406 | 2.123 | 0.000 | 0.000 | 0.483 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 169 | 153 | 139 | 0 | 0 | 786 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.82 | 0.00 | 0.00 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 0.770 | 0.000 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 131 | 132 | 0 | 0 | 698 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.92 | 0.00 | 0.00 | 4.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 0.514 | 0.000 | 0.000 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 53 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.30 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.304 | 19.102 | 0.156 | 0.000 | 0.257 | 0.000 | 0.274 | 5.697 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 55 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.39 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.319 | 23.849 | 0.156 | 0.000 | 0.258 | 0.000 | 0.283 | 5.532 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.52 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.293 | 17.345 | 0.183 | 0.000 | 0.257 | 0.000 | 0.299 | 5.386 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.52 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.286 | 13.460 | 0.154 | 0.000 | 0.252 | 0.000 | 0.287 | 5.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 359 | 291 | 189 | 0 | 0 | 371 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.53 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.458 | 0.000 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 278 | 269 | 248 | 0 | 0 | 442 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.89 | 0.00 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 5.869 | 0.000 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 596 | 550 | 396 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.178 | 1.623 | 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 | 379 | 350 | 288 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 0.679 | 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 | 220 | 209 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.415 | 0.465 | 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 | 23 | 23 | 25 | 23 | 25 | 25 | 20 | 25 | 29 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.09 | 0.87 | 1.09 | 1.26 |
time (sec) |
N/A | 0.251 | 3.187 | 0.165 | 0.309 | 0.256 | 41.891 | 0.261 | 4.772 |
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 | 23 | 23 | 25 | 23 | 25 | 36 | 0 | 25 | 29 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.57 | 0.00 | 1.09 | 1.26 |
time (sec) |
N/A | 0.256 | 6.777 | 0.167 | 0.303 | 0.252 | 0.000 | 0.271 | 4.913 |
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 | 23 | 25 | 42 | 0 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.68 | 0.00 | 1.00 | 1.16 |
time (sec) |
N/A | 0.288 | 1.531 | 0.160 | 0.317 | 0.260 | 0.000 | 0.304 | 5.038 |
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 | 0.284 | 0.196 | 0.172 | 0.314 | 0.264 | 53.733 | 0.296 | 5.506 |
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 | 0.284 | 1.548 | 0.159 | 0.347 | 0.260 | 23.026 | 0.276 | 5.542 |
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 | 45 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.80 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.292 | 1.863 | 0.156 | 0.328 | 0.263 | 146.974 | 0.282 | 5.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 395 | 231 | 214 | 0 | 0 | 382 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.54 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.431 | 0.461 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 264 | 156 | 180 | 0 | 0 | 324 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.68 | 0.00 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.140 | 0.522 | 0.000 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 101 | 141 | 0 | 0 | 265 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 1.08 | 0.00 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.408 | 0.451 | 0.000 | 0.000 | 0.280 | 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 | 26 | 26 | 28 | 24 | 88 | 37 | 34 | 26 | 30 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 3.38 | 1.42 | 1.31 | 1.00 | 1.15 |
time (sec) |
N/A | 0.281 | 0.638 | 0.158 | 0.594 | 0.262 | 7.517 | 0.283 | 6.259 |
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 | 26 | 26 | 28 | 24 | 112 | 39 | 36 | 26 | 30 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 4.31 | 1.50 | 1.38 | 1.00 | 1.15 |
time (sec) |
N/A | 0.287 | 8.863 | 0.158 | 0.628 | 0.262 | 85.157 | 0.289 | 5.489 |