Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 317 | 234 | 1278 | 0 | 346 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.74 | 4.03 | 0.00 | 1.09 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.567 | 5.218 | 0.138 | 0.000 | 0.766 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 336 | 323 | 975 | 0 | 387 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.96 | 2.90 | 0.00 | 1.15 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.573 | 6.315 | 0.112 | 0.000 | 1.271 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 401 | 401 | 538 | 1082 | 0 | 440 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.34 | 2.70 | 0.00 | 1.10 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.607 | 6.872 | 0.121 | 0.000 | 1.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 515 | 515 | 713 | 1523 | 0 | 588 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.38 | 2.96 | 0.00 | 1.14 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.879 | 7.618 | 0.527 | 0.000 | 1.246 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 441 | 609 | 1523 | 0 | 525 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.38 | 3.45 | 0.00 | 1.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.835 | 7.493 | 0.438 | 0.000 | 1.562 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 419 | 419 | 530 | 1597 | 0 | 478 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.26 | 3.81 | 0.00 | 1.14 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.822 | 7.474 | 0.340 | 0.000 | 1.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 409 | 409 | 485 | 1857 | 0 | 455 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.19 | 4.54 | 0.00 | 1.11 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.839 | 7.462 | 0.303 | 0.000 | 0.907 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 429 | 429 | 394 | 2507 | 0 | 447 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 5.84 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.880 | 6.920 | 0.246 | 0.000 | 1.240 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 426 | 426 | 517 | 1652 | 0 | 442 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.21 | 3.88 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.900 | 7.429 | 0.165 | 0.000 | 1.183 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 444 | 444 | 580 | 1273 | 0 | 498 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.31 | 2.87 | 0.00 | 1.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.884 | 7.196 | 0.127 | 0.000 | 1.111 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 516 | 516 | 658 | 1407 | 0 | 560 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.28 | 2.73 | 0.00 | 1.09 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.961 | 7.303 | 0.132 | 0.000 | 1.115 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F(-1) | B | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 296 | 0 | 773 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.760 | 180.001 | 0.269 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | A | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 218 | 218 | 0 | 445 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.520 | 152.834 | 0.193 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 0 | 382 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.325 | 147.093 | 0.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | A | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 157 | 157 | 0 | 323 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 2.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.194 | 103.234 | 0.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | B | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 0 | 981 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 4.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.370 | 134.025 | 0.101 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | B | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 269 | 269 | 0 | 801 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 2.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.586 | 148.679 | 0.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | B | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 342 | 0 | 1095 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.834 | 162.331 | 0.146 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | A | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 447 | 447 | 926 | 1004 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.07 | 2.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.953 | 37.549 | 0.393 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 363 | 363 | 860 | 870 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.37 | 2.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.661 | 37.184 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 299 | 824 | 809 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.76 | 2.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.452 | 37.017 | 0.184 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 317 | 830 | 856 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.62 | 2.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.459 | 37.075 | 0.201 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 406 | 406 | 882 | 1123 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.17 | 2.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.717 | 37.263 | 0.227 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 507 | 507 | 971 | 1377 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.92 | 2.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.040 | 37.538 | 0.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 667 | 667 | 1156 | 2158 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.73 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.554 | 37.799 | 0.775 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 556 | 556 | 1087 | 2022 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.96 | 3.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.177 | 37.428 | 0.430 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 469 | 469 | 1046 | 1879 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.23 | 4.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.806 | 37.201 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 478 | 478 | 1046 | 1972 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.19 | 4.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.813 | 37.214 | 0.357 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 486 | 486 | 1059 | 2022 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.18 | 4.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.823 | 37.346 | 0.434 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 598 | 598 | 1116 | 2289 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.87 | 3.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.228 | 37.594 | 0.472 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 447 | 447 | 782 | 4821 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.75 | 10.79 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.084 | 16.972 | 0.884 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 346 | 478 | 3182 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.38 | 9.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.779 | 16.270 | 0.246 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 258 | 438 | 2345 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.70 | 9.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.559 | 13.682 | 0.266 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 277 | 0 | 2548 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 9.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.605 | 34.895 | 0.282 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 273 | 3426 | 3641 | 0 | 539 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 12.55 | 13.34 | 0.00 | 1.97 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.554 | 6.736 | 0.299 | 0.000 | 0.699 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 360 | 360 | 4441 | 4764 | 0 | 630 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 12.34 | 13.23 | 0.00 | 1.75 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.778 | 6.790 | 0.375 | 0.000 | 0.678 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 457 | 457 | 5993 | 6551 | 0 | 724 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.11 | 14.33 | 0.00 | 1.58 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.100 | 6.974 | 0.521 | 0.000 | 0.820 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 551 | 551 | 916 | 7134 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.66 | 12.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.471 | 17.215 | 0.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 446 | 446 | 800 | 5245 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.79 | 11.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.102 | 16.862 | 0.330 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 353 | 353 | 709 | 4335 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.01 | 12.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.785 | 16.796 | 0.295 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 340 | 340 | 685 | 3823 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.01 | 11.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.802 | 16.813 | 0.266 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 356 | 0 | 4247 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 11.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.831 | 61.243 | 0.289 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 359 | 359 | 4862 | 4944 | 0 | 631 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.54 | 13.77 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.821 | 6.914 | 0.375 | 0.000 | 1.534 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 455 | 455 | 5997 | 6526 | 0 | 726 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.18 | 14.34 | 0.00 | 1.60 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.129 | 7.078 | 0.511 | 0.000 | 0.970 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 550 | 550 | 925 | 7346 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.68 | 13.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.505 | 17.374 | 0.477 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 453 | 453 | 817 | 6194 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.80 | 13.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.123 | 17.170 | 0.385 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 427 | 427 | 766 | 5629 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.79 | 13.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.102 | 16.918 | 0.363 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 419 | 419 | 755 | 5634 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.80 | 13.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.100 | 16.970 | 0.375 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 441 | 0 | 5602 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 12.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.109 | 84.893 | 0.392 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 452 | 452 | 6410 | 6758 | 0 | 725 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 14.18 | 14.95 | 0.00 | 1.60 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.157 | 7.172 | 0.521 | 0.000 | 1.672 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 565 | 565 | 7479 | 7971 | 0 | 837 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.24 | 14.11 | 0.00 | 1.48 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.539 | 7.313 | 0.875 | 0.000 | 1.437 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 350 | 503 | 3177 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.44 | 9.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.755 | 15.250 | 0.267 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 623 | 1638 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.40 | 6.30 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.541 | 16.767 | 0.219 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 219 | 0 | 1356 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 6.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.415 | 17.178 | 0.259 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 1959 | 1931 | 0 | 460 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 9.07 | 8.94 | 0.00 | 2.13 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.352 | 6.599 | 0.231 | 0.000 | 0.744 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 291 | 291 | 3039 | 3439 | 0 | 544 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 10.44 | 11.82 | 0.00 | 1.87 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.551 | 6.715 | 0.290 | 0.000 | 0.776 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 380 | 4470 | 4764 | 0 | 631 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 11.76 | 12.54 | 0.00 | 1.66 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.798 | 6.926 | 0.372 | 0.000 | 0.987 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 253 | 377 | 1431 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.49 | 5.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.714 | 4.595 | 0.290 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 393 | 393 | 774 | 3121 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.97 | 7.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.899 | 17.111 | 0.307 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 311 | 311 | 0 | 2053 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 6.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.680 | 72.063 | 0.251 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 3541 | 1893 | 0 | 718 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 14.22 | 7.60 | 0.00 | 2.88 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.415 | 6.793 | 0.264 | 0.000 | 0.510 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 350 | 4557 | 2733 | 0 | 860 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.02 | 7.81 | 0.00 | 2.46 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.645 | 7.614 | 0.253 | 0.000 | 1.102 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 461 | 461 | 6134 | 4114 | 0 | 1018 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.31 | 8.92 | 0.00 | 2.21 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.937 | 8.214 | 0.304 | 0.000 | 1.949 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 563 | 563 | 938 | 9944 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.67 | 17.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.315 | 17.565 | 0.381 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 447 | 447 | 0 | 7030 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 15.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.969 | 96.142 | 0.303 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 5040 | 5163 | 0 | 1180 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.33 | 13.66 | 0.00 | 3.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.715 | 7.850 | 0.263 | 0.000 | 0.744 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 401 | 401 | 6142 | 6945 | 0 | 1301 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 15.32 | 17.32 | 0.00 | 3.24 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.695 | 8.479 | 0.296 | 0.000 | 0.535 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 521 | 521 | 7608 | 8776 | 0 | 1531 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 14.60 | 16.84 | 0.00 | 2.94 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.068 | 9.470 | 0.370 | 0.000 | 1.010 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 663 | 663 | 9192 | 11337 | 0 | 1771 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 13.86 | 17.10 | 0.00 | 2.67 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.510 | 10.647 | 0.522 | 0.000 | 1.874 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.243 | 121.300 | 0.094 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.210 | 123.356 | 0.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.210 | 96.274 | 0.088 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.210 | 129.492 | 0.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.178 | 9.872 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 65 | 313 | 0 | 114 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 0.81 | 3.91 | 0.00 | 1.42 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.055 | 0.365 | 0.101 | 0.000 | 0.401 | 0.000 | 0.000 | 4.708 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 63 | 285 | 0 | 98 | 0 | 0 | 80 |
| N.S. |
1 | 1.00 | 0.79 | 3.56 | 0.00 | 1.22 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.054 | 0.325 | 0.088 | 0.000 | 0.614 | 0.000 | 0.000 | 4.578 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 50 | 48 | 252 | 0 | 87 | 0 | 0 | 60 |
| N.S. |
1 | 1.00 | 0.96 | 5.04 | 0.00 | 1.74 | 0.00 | 0.00 | 1.20 |
| time (sec) |
N/A | 0.043 | 0.127 | 0.089 | 0.000 | 0.579 | 0.000 | 0.000 | 4.722 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 48 | 124 | 228 | 0 | 81 | 0 | 0 | 53 |
| N.S. |
1 | 1.00 | 2.58 | 4.75 | 0.00 | 1.69 | 0.00 | 0.00 | 1.10 |
| time (sec) |
N/A | 0.043 | 1.021 | 0.086 | 0.000 | 0.611 | 0.000 | 0.000 | 0.203 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 289 | 149 | 0 | 106 | 0 | 0 | 60 |
| N.S. | 1 | 1.00 | 6.57 | 3.39 | 0.00 | 2.41 | 0.00 | 0.00 | 1.36 |
| time (sec) |
N/A | 0.043 | 1.779 | 0.092 | 0.000 | 0.912 | 0.000 | 0.000 | 5.185 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 48 | 43 | 266 | 0 | 105 | 0 | 0 | 60 |
| N.S. | 1 | 1.00 | 0.90 | 5.54 | 0.00 | 2.19 | 0.00 | 0.00 | 1.25 |
| time (sec) |
N/A | 0.043 | 0.189 | 0.089 | 0.000 | 0.606 | 0.000 | 0.000 | 5.063 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 73 | 593 | 0 | 128 | 0 | 0 | 87 |
| N.S. | 1 | 1.00 | 0.91 | 7.41 | 0.00 | 1.60 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.056 | 0.411 | 0.162 | 0.000 | 1.042 | 0.000 | 0.000 | 4.927 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 73 | 376 | 0 | 124 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 0.91 | 4.70 | 0.00 | 1.55 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.059 | 0.609 | 0.152 | 0.000 | 0.602 | 0.000 | 0.000 | 5.243 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 165 | 918 | 406 | 0 | 203 | 0 | 0 | 166 |
| N.S. |
1 | 1.00 | 5.56 | 2.46 | 0.00 | 1.23 | 0.00 | 0.00 | 1.01 |
| time (sec) |
N/A | 0.175 | 6.338 | 0.105 | 0.000 | 1.227 | 0.000 | 0.000 | 5.184 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 134 | 134 | 872 | 378 | 0 | 185 | 0 | 0 | 139 |
| N.S. |
1 | 1.00 | 6.51 | 2.82 | 0.00 | 1.38 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 0.159 | 6.273 | 0.108 | 0.000 | 0.684 | 0.000 | 0.000 | 0.445 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 101 | 101 | 824 | 345 | 0 | 163 | 0 | 0 | 112 |
| N.S. |
1 | 1.00 | 8.16 | 3.42 | 0.00 | 1.61 | 0.00 | 0.00 | 1.11 |
| time (sec) |
N/A | 0.146 | 6.324 | 0.099 | 0.000 | 1.207 | 0.000 | 0.000 | 4.569 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 813 | 288 | 0 | 190 | 0 | 0 | 112 |
| N.S. |
1 | 1.00 | 8.56 | 3.03 | 0.00 | 2.00 | 0.00 | 0.00 | 1.18 |
| time (sec) |
N/A | 0.144 | 6.370 | 0.115 | 0.000 | 1.147 | 0.000 | 0.000 | 0.746 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 817 | 410 | 0 | 198 | 0 | 0 | 123 |
| N.S. | 1 | 1.00 | 8.60 | 4.32 | 0.00 | 2.08 | 0.00 | 0.00 | 1.29 |
| time (sec) |
N/A | 0.146 | 6.418 | 0.159 | 0.000 | 1.004 | 0.000 | 0.000 | 5.225 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 132 | 132 | 851 | 702 | 0 | 221 | 0 | 0 | 150 |
| N.S. | 1 | 1.00 | 6.45 | 5.32 | 0.00 | 1.67 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.165 | 6.501 | 0.254 | 0.000 | 0.578 | 0.000 | 0.000 | 6.090 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 165 | 895 | 811 | 0 | 243 | 0 | 0 | 177 |
| N.S. |
1 | 1.00 | 5.42 | 4.92 | 0.00 | 1.47 | 0.00 | 0.00 | 1.07 |
| time (sec) |
N/A | 0.180 | 6.559 | 0.256 | 0.000 | 1.487 | 0.000 | 0.000 | 6.208 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 230 | 976 | 436 | 0 | 239 | 0 | 0 | 266 |
| N.S. |
1 | 1.00 | 4.24 | 1.90 | 0.00 | 1.04 | 0.00 | 0.00 | 1.16 |
| time (sec) |
N/A | 0.365 | 6.344 | 0.123 | 0.000 | 1.216 | 0.000 | 0.000 | 5.483 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 1118 | 408 | 0 | 219 | 0 | 0 | 242 |
| N.S. |
1 | 1.00 | 5.68 | 2.07 | 0.00 | 1.11 | 0.00 | 0.00 | 1.23 |
| time (sec) |
N/A | 0.344 | 6.352 | 0.122 | 0.000 | 1.088 | 0.000 | 0.000 | 5.466 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 164 | 1070 | 380 | 0 | 199 | 0 | 0 | 177 |
| N.S. |
1 | 1.00 | 6.52 | 2.32 | 0.00 | 1.21 | 0.00 | 0.00 | 1.08 |
| time (sec) |
N/A | 0.328 | 6.399 | 0.119 | 0.000 | 0.628 | 0.000 | 0.000 | 5.234 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 158 | 799 | 268 | 0 | 209 | 0 | 0 | 188 |
| N.S. |
1 | 1.00 | 5.06 | 1.70 | 0.00 | 1.32 | 0.00 | 0.00 | 1.19 |
| time (sec) |
N/A | 0.326 | 6.480 | 0.122 | 0.000 | 0.814 | 0.000 | 0.000 | 5.342 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 154 | 154 | 1040 | 651 | 0 | 219 | 0 | 0 | 161 |
| N.S. |
1 | 1.00 | 6.75 | 4.23 | 0.00 | 1.42 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.323 | 6.525 | 0.180 | 0.000 | 0.836 | 0.000 | 0.000 | 5.363 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 800 | 756 | 0 | 223 | 0 | 0 | 202 |
| N.S. | 1 | 1.00 | 5.13 | 4.85 | 0.00 | 1.43 | 0.00 | 0.00 | 1.29 |
| time (sec) |
N/A | 0.329 | 6.611 | 0.226 | 0.000 | 0.580 | 0.000 | 0.000 | 6.237 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 1092 | 891 | 0 | 259 | 0 | 0 | 229 |
| N.S. | 1 | 1.00 | 5.54 | 4.52 | 0.00 | 1.31 | 0.00 | 0.00 | 1.16 |
| time (sec) |
N/A | 0.361 | 6.740 | 0.272 | 0.000 | 1.024 | 0.000 | 0.000 | 6.312 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 230 | 1137 | 1141 | 0 | 279 | 0 | 0 | 482 |
| N.S. |
1 | 1.00 | 4.94 | 4.96 | 0.00 | 1.21 | 0.00 | 0.00 | 2.10 |
| time (sec) |
N/A | 0.373 | 6.788 | 0.333 | 0.000 | 1.327 | 0.000 | 0.000 | 6.757 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 279 | 1022 | 464 | 0 | 259 | 0 | 0 | 360 |
| N.S. |
1 | 1.00 | 3.66 | 1.66 | 0.00 | 0.93 | 0.00 | 0.00 | 1.29 |
| time (sec) |
N/A | 0.466 | 6.412 | 0.128 | 0.000 | 1.413 | 0.000 | 0.000 | 5.648 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 976 | 436 | 0 | 239 | 0 | 0 | 332 |
| N.S. |
1 | 1.00 | 3.97 | 1.77 | 0.00 | 0.97 | 0.00 | 0.00 | 1.35 |
| time (sec) |
N/A | 0.441 | 6.373 | 0.137 | 0.000 | 0.767 | 0.000 | 0.000 | 5.419 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 213 | 1116 | 408 | 0 | 219 | 0 | 0 | 283 |
| N.S. |
1 | 1.00 | 5.24 | 1.92 | 0.00 | 1.03 | 0.00 | 0.00 | 1.33 |
| time (sec) |
N/A | 0.424 | 6.478 | 0.119 | 0.000 | 1.351 | 0.000 | 0.000 | 5.066 |