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 | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 649 | 686 | 658 | 767 | 0 | 3385 | 0 | 1436 | 21924 |
| N.S. |
1 | 1.06 | 1.01 | 1.18 | 0.00 | 5.22 | 0.00 | 2.21 | 33.78 |
| time (sec) |
N/A | 3.837 | 11.634 | 1.726 | 0.000 | 0.642 | 0.000 | 0.441 | 24.200 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 461 | 518 | 532 | 640 | 0 | 2777 | 0 | 1225 | 9423 |
| N.S. |
1 | 1.12 | 1.15 | 1.39 | 0.00 | 6.02 | 0.00 | 2.66 | 20.44 |
| time (sec) |
N/A | 2.580 | 10.084 | 1.268 | 0.000 | 0.562 | 0.000 | 0.428 | 10.692 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 349 | 405 | 863 | 561 | 0 | 2045 | 0 | 1104 | 11947 |
| N.S. |
1 | 1.16 | 2.47 | 1.61 | 0.00 | 5.86 | 0.00 | 3.16 | 34.23 |
| time (sec) |
N/A | 1.767 | 6.358 | 0.675 | 0.000 | 0.430 | 0.000 | 0.405 | 15.943 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 314 | 359 | 307 | 449 | 0 | 1410 | 0 | 966 | 516 |
| N.S. |
1 | 1.14 | 0.98 | 1.43 | 0.00 | 4.49 | 0.00 | 3.08 | 1.64 |
| time (sec) |
N/A | 1.237 | 3.173 | 0.585 | 0.000 | 0.371 | 0.000 | 0.396 | 5.847 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 338 | 301 | 448 | 0 | 1404 | 0 | 966 | 516 |
| N.S. |
1 | 1.13 | 1.01 | 1.50 | 0.00 | 4.70 | 0.00 | 3.23 | 1.73 |
| time (sec) |
N/A | 1.056 | 1.929 | 0.560 | 0.000 | 0.375 | 0.000 | 0.377 | 5.198 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 410 | 587 | 580 | 0 | 2458 | 0 | 1127 | 11939 |
| N.S. |
1 | 1.19 | 1.70 | 1.68 | 0.00 | 7.12 | 0.00 | 3.27 | 34.61 |
| time (sec) |
N/A | 2.063 | 8.415 | 1.287 | 0.000 | 76.852 | 0.000 | 0.405 | 16.438 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 480 | 536 | 709 | 675 | 0 | 3598 | 0 | 1255 | 15980 |
| N.S. |
1 | 1.12 | 1.48 | 1.41 | 0.00 | 7.50 | 0.00 | 2.61 | 33.29 |
| time (sec) |
N/A | 3.580 | 7.103 | 1.678 | 0.000 | 172.338 | 0.000 | 0.405 | 17.388 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 657 | 692 | 686 | 834 | 0 | 4607 | 0 | 1482 | 21844 |
| N.S. |
1 | 1.05 | 1.04 | 1.27 | 0.00 | 7.01 | 0.00 | 2.26 | 33.25 |
| time (sec) |
N/A | 4.890 | 9.068 | 2.905 | 0.000 | 276.480 | 0.000 | 0.432 | 24.305 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | B | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 32 | 34 | 23 | 0 | 27 | 58 | 48 | 25 |
| N.S. |
1 | 1.39 | 1.48 | 1.00 | 0.00 | 1.17 | 2.52 | 2.09 | 1.09 |
| time (sec) |
N/A | 0.184 | 0.008 | 0.083 | 0.000 | 0.340 | 0.326 | 0.315 | 2.215 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 71 | 68 | 67 | 0 | 240 | 0 | 318 | 248 |
| N.S. |
1 | 1.16 | 1.11 | 1.10 | 0.00 | 3.93 | 0.00 | 5.21 | 4.07 |
| time (sec) |
N/A | 0.359 | 0.272 | 0.134 | 0.000 | 0.291 | 0.000 | 0.322 | 2.848 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 110 | 130 | 107 | 138 | 0 | 421 | 0 | 170 | 124 |
| N.S. |
1 | 1.18 | 0.97 | 1.25 | 0.00 | 3.83 | 0.00 | 1.55 | 1.13 |
| time (sec) |
N/A | 0.424 | 0.642 | 0.209 | 0.000 | 0.299 | 0.000 | 0.353 | 2.624 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 212 | 171 | 244 | 0 | 803 | 0 | 381 | 268 |
| N.S. |
1 | 1.21 | 0.98 | 1.39 | 0.00 | 4.59 | 0.00 | 2.18 | 1.53 |
| time (sec) |
N/A | 0.664 | 0.973 | 0.379 | 0.000 | 0.302 | 0.000 | 0.367 | 5.666 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 304 | 246 | 384 | 0 | 1305 | 0 | 711 | 462 |
| N.S. |
1 | 1.22 | 0.99 | 1.54 | 0.00 | 5.24 | 0.00 | 2.86 | 1.86 |
| time (sec) |
N/A | 0.980 | 1.263 | 0.620 | 0.000 | 0.356 | 0.000 | 0.422 | 6.259 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 416 | 438 | 321 | 2143 | 0 | 698 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.77 | 5.15 | 0.00 | 1.68 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.335 | 2.520 | 20.132 | 0.000 | 0.171 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 321 | 335 | 249 | 1635 | 0 | 603 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.78 | 5.09 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.674 | 1.784 | 16.187 | 0.000 | 0.157 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 243 | 189 | 1187 | 0 | 512 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.80 | 5.01 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.198 | 1.951 | 10.165 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 240 | 244 | 393 | 740 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.64 | 3.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.906 | 4.371 | 5.310 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 231 | 385 | 988 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.77 | 4.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.908 | 3.334 | 5.997 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 305 | 428 | 1395 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.43 | 4.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.589 | 6.049 | 7.315 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 399 | 410 | 661 | 2319 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.66 | 5.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.437 | 7.169 | 11.452 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 518 | 542 | 407 | 2603 | 0 | 811 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.79 | 5.03 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.038 | 4.246 | 25.133 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 408 | 424 | 321 | 2143 | 0 | 699 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.79 | 5.25 | 0.00 | 1.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.135 | 2.942 | 19.990 | 0.000 | 0.163 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 323 | 257 | 1635 | 0 | 604 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.82 | 5.19 | 0.00 | 1.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.591 | 3.005 | 15.886 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 315 | 455 | 1330 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.49 | 4.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.557 | 10.404 | 9.230 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 286 | 300 | 434 | 1441 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.52 | 5.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.559 | 12.289 | 6.984 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 315 | 438 | 1743 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.43 | 5.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.651 | 7.232 | 7.668 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 399 | 410 | 667 | 2441 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.67 | 6.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.508 | 7.654 | 13.662 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 503 | 519 | 783 | 3551 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.56 | 7.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.534 | 7.688 | 16.653 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 629 | 655 | 501 | 3165 | 0 | 929 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.80 | 5.03 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.666 | 5.485 | 63.815 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 510 | 528 | 405 | 2603 | 0 | 810 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.79 | 5.10 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.730 | 3.974 | 35.113 | 0.000 | 0.198 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 402 | 412 | 327 | 2143 | 0 | 698 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.81 | 5.33 | 0.00 | 1.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.107 | 3.672 | 22.932 | 0.000 | 0.162 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 383 | 397 | 526 | 1713 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 1.37 | 4.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.204 | 13.002 | 22.520 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 357 | 376 | 502 | 2152 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.41 | 6.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.239 | 13.267 | 24.263 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 385 | 492 | 2375 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.32 | 6.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.377 | 5.972 | 69.972 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 407 | 420 | 519 | 2791 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.28 | 6.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.646 | 7.280 | 205.463 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 502 | 518 | 792 | 3673 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.58 | 7.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.620 | 7.806 | 521.129 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 624 | 645 | 930 | 5171 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.49 | 8.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 5.470 | 8.121 | 1260.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 285 | 312 | 259 | 1302 | 0 | 562 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.91 | 4.57 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.753 | 2.671 | 15.152 | 0.000 | 0.218 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 241 | 178 | 990 | 0 | 492 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.81 | 4.48 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.327 | 2.371 | 10.145 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 364 | 252 | 1635 | 0 | 604 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.73 | 4.75 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.863 | 2.543 | 13.174 | 0.000 | 0.161 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 270 | 186 | 1258 | 0 | 517 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.72 | 4.88 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.271 | 2.086 | 8.250 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
| 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 | 188 | 192 | 160 | 740 | 0 | 443 | 0 | 0 | 252 |
| N.S. |
1 | 1.02 | 0.85 | 3.94 | 0.00 | 2.36 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 0.894 | 1.885 | 4.963 | 0.000 | 0.117 | 0.000 | 0.000 | 2.607 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 192 | 0 | 275 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.426 | 0.000 | 3.932 | 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 | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 220 | 231 | 600 | 738 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 2.73 | 3.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.905 | 20.108 | 5.344 | 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 | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 309 | 562 | 1282 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.85 | 4.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.589 | 7.324 | 7.184 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 405 | 419 | 665 | 2205 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.64 | 5.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.489 | 7.455 | 8.712 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 426 | 431 | 328 | 1335 | 0 | 1012 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.77 | 3.13 | 0.00 | 2.38 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.362 | 3.803 | 10.497 | 0.000 | 0.225 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 280 | 299 | 236 | 1058 | 0 | 858 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.84 | 3.78 | 0.00 | 3.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.530 | 2.758 | 8.447 | 0.000 | 0.169 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 234 | 182 | 526 | 0 | 720 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.83 | 2.40 | 0.00 | 3.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.039 | 1.285 | 6.767 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 292 | 0 | 547 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.176 | 0.000 | 5.805 | 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(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 345 | 751 | 919 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 2.40 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.841 | 9.198 | 8.941 | 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(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 416 | 442 | 723 | 1581 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.74 | 3.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.738 | 7.510 | 12.656 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 622 | 628 | 422 | 1784 | 0 | 1776 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.68 | 2.87 | 0.00 | 2.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.675 | 7.251 | 14.695 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 453 | 462 | 377 | 1502 | 0 | 1512 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.83 | 3.32 | 0.00 | 3.34 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.588 | 5.252 | 14.538 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 359 | 367 | 323 | 967 | 0 | 1310 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.90 | 2.69 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.747 | 4.317 | 11.079 | 0.000 | 0.201 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 343 | 278 | 871 | 0 | 1173 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.83 | 2.62 | 0.00 | 3.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.555 | 2.839 | 9.496 | 0.000 | 0.179 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
| size | 401 | 422 | 0 | 883 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.00 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.163 | 0.000 | 10.313 | 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 | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 461 | 495 | 915 | 1352 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.98 | 2.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.963 | 9.878 | 12.432 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 572 | 610 | 922 | 2023 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.61 | 3.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 5.070 | 8.280 | 17.714 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 449 | 472 | 433 | 1320 | 0 | 1813 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.96 | 2.94 | 0.00 | 4.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.215 | 4.747 | 12.149 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
| 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 | 167 | 180 | 144 | 598 | 0 | 435 | 0 | 0 | 303 |
| N.S. |
1 | 1.08 | 0.86 | 3.58 | 0.00 | 2.60 | 0.00 | 0.00 | 1.81 |
| time (sec) |
N/A | 1.022 | 1.604 | 4.304 | 0.000 | 0.106 | 0.000 | 0.000 | 2.787 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 134 | 90 | 246 | 0 | 371 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.73 | 1.98 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.660 | 0.405 | 4.268 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 203 | 150 | 426 | 0 | 609 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 0.83 | 2.37 | 0.00 | 3.38 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.986 | 0.833 | 4.870 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 295 | 193 | 748 | 0 | 954 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.71 | 2.76 | 0.00 | 3.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.414 | 1.857 | 10.895 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
| 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 | 190 | 180 | 143 | 565 | 0 | 246 | 0 | 0 | 254 |
| N.S. |
1 | 0.95 | 0.75 | 2.97 | 0.00 | 1.29 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 0.826 | 2.335 | 10.338 | 0.000 | 0.126 | 0.000 | 0.000 | 3.620 |
| 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 | 154 | 152 | 117 | 515 | 0 | 222 | 0 | 0 | 216 |
| N.S. |
1 | 0.99 | 0.76 | 3.34 | 0.00 | 1.44 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.785 | 2.092 | 7.480 | 0.000 | 0.115 | 0.000 | 0.000 | 3.357 |
| 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 | 116 | 122 | 94 | 465 | 0 | 195 | 0 | 0 | 162 |
| N.S. |
1 | 1.05 | 0.81 | 4.01 | 0.00 | 1.68 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.671 | 1.872 | 4.345 | 0.000 | 0.110 | 0.000 | 0.000 | 2.995 |
| 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 | 107 | 110 | 90 | 389 | 0 | 216 | 0 | 0 | 146 |
| N.S. |
1 | 1.03 | 0.84 | 3.64 | 0.00 | 2.02 | 0.00 | 0.00 | 1.36 |
| time (sec) |
N/A | 0.672 | 1.440 | 3.615 | 0.000 | 0.104 | 0.000 | 0.000 | 3.261 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 114 | 115 | 562 | 0 | 229 | 0 | 0 | 184 |
| N.S. |
1 | 1.03 | 1.04 | 5.06 | 0.00 | 2.06 | 0.00 | 0.00 | 1.66 |
| time (sec) |
N/A | 0.665 | 1.777 | 3.439 | 0.000 | 0.112 | 0.000 | 0.000 | 4.462 |
| 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 | 152 | 146 | 136 | 715 | 0 | 260 | 0 | 0 | 217 |
| N.S. |
1 | 0.96 | 0.89 | 4.70 | 0.00 | 1.71 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 0.811 | 2.558 | 3.857 | 0.000 | 0.109 | 0.000 | 0.000 | 4.891 |
| 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 | 190 | 176 | 173 | 824 | 0 | 288 | 0 | 0 | 223 |
| N.S. |
1 | 0.93 | 0.91 | 4.34 | 0.00 | 1.52 | 0.00 | 0.00 | 1.17 |
| time (sec) |
N/A | 0.831 | 5.714 | 7.128 | 0.000 | 0.122 | 0.000 | 0.000 | 5.924 |
| 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 | 305 | 273 | 239 | 863 | 0 | 358 | 0 | 0 | 401 |
| N.S. |
1 | 0.90 | 0.78 | 2.83 | 0.00 | 1.17 | 0.00 | 0.00 | 1.31 |
| time (sec) |
N/A | 1.349 | 3.214 | 15.551 | 0.000 | 0.149 | 0.000 | 0.000 | 3.716 |
| 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 | 251 | 244 | 195 | 784 | 0 | 318 | 0 | 0 | 366 |
| N.S. |
1 | 0.97 | 0.78 | 3.12 | 0.00 | 1.27 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 1.321 | 2.716 | 10.240 | 0.000 | 0.132 | 0.000 | 0.000 | 3.781 |
| 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 | 203 | 214 | 160 | 706 | 0 | 281 | 0 | 0 | 303 |
| N.S. |
1 | 1.05 | 0.79 | 3.48 | 0.00 | 1.38 | 0.00 | 0.00 | 1.49 |
| time (sec) |
N/A | 1.182 | 3.427 | 5.806 | 0.000 | 0.115 | 0.000 | 0.000 | 3.720 |
| 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 | 189 | 195 | 144 | 679 | 0 | 292 | 0 | 0 | 260 |
| N.S. |
1 | 1.03 | 0.76 | 3.59 | 0.00 | 1.54 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 1.164 | 3.382 | 4.603 | 0.000 | 0.125 | 0.000 | 0.000 | 3.907 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 179 | 157 | 768 | 0 | 292 | 0 | 0 | 268 |
| N.S. |
1 | 0.99 | 0.87 | 4.27 | 0.00 | 1.62 | 0.00 | 0.00 | 1.49 |
| time (sec) |
N/A | 1.116 | 3.284 | 4.139 | 0.000 | 0.128 | 0.000 | 0.000 | 4.592 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 204 | 202 | 947 | 0 | 319 | 0 | 0 | 310 |
| N.S. |
1 | 1.02 | 1.01 | 4.74 | 0.00 | 1.60 | 0.00 | 0.00 | 1.55 |
| time (sec) |
N/A | 1.191 | 3.909 | 4.273 | 0.000 | 0.135 | 0.000 | 0.000 | 5.660 |
| 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 | 248 | 237 | 217 | 920 | 0 | 357 | 0 | 0 | 343 |
| N.S. |
1 | 0.96 | 0.88 | 3.71 | 0.00 | 1.44 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 1.355 | 7.270 | 5.086 | 0.000 | 0.141 | 0.000 | 0.000 | 6.061 |
| 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 | 302 | 267 | 266 | 1169 | 0 | 400 | 0 | 0 | 851 |
| N.S. |
1 | 0.88 | 0.88 | 3.87 | 0.00 | 1.32 | 0.00 | 0.00 | 2.82 |
| time (sec) |
N/A | 1.397 | 8.594 | 7.958 | 0.000 | 0.141 | 0.000 | 0.000 | 6.823 |
| 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 | 361 | 343 | 285 | 1082 | 0 | 429 | 0 | 0 | 514 |
| N.S. |
1 | 0.95 | 0.79 | 3.00 | 0.00 | 1.19 | 0.00 | 0.00 | 1.42 |
| time (sec) |
N/A | 1.964 | 3.582 | 15.530 | 0.000 | 0.151 | 0.000 | 0.000 | 4.521 |
| 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 | 296 | 308 | 230 | 975 | 0 | 376 | 0 | 0 | 452 |
| N.S. |
1 | 1.04 | 0.78 | 3.29 | 0.00 | 1.27 | 0.00 | 0.00 | 1.53 |
| time (sec) |
N/A | 1.763 | 4.527 | 10.563 | 0.000 | 0.144 | 0.000 | 0.000 | 3.968 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 290 | 212 | 983 | 0 | 378 | 0 | 0 | 398 |
| N.S. |
1 | 1.04 | 0.76 | 3.52 | 0.00 | 1.35 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 1.776 | 4.157 | 6.465 | 0.000 | 0.138 | 0.000 | 0.000 | 3.975 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 275 | 186 | 997 | 0 | 369 | 0 | 0 | 379 |
| N.S. |
1 | 1.01 | 0.69 | 3.68 | 0.00 | 1.36 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 1.765 | 4.922 | 5.268 | 0.000 | 0.142 | 0.000 | 0.000 | 5.002 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 275 | 248 | 1153 | 0 | 382 | 0 | 0 | 414 |
| N.S. |
1 | 1.01 | 0.91 | 4.22 | 0.00 | 1.40 | 0.00 | 0.00 | 1.52 |
| time (sec) |
N/A | 1.785 | 5.022 | 5.095 | 0.000 | 0.150 | 0.000 | 0.000 | 6.428 |
| 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 | 294 | 303 | 251 | 1178 | 0 | 415 | 0 | 0 | 442 |
| N.S. |
1 | 1.03 | 0.85 | 4.01 | 0.00 | 1.41 | 0.00 | 0.00 | 1.50 |
| time (sec) |
N/A | 1.818 | 9.218 | 6.059 | 0.000 | 0.147 | 0.000 | 0.000 | 8.139 |
| 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 | 357 | 332 | 414 | 1265 | 0 | 467 | 0 | 0 | 463 |
| N.S. |
1 | 0.93 | 1.16 | 3.54 | 0.00 | 1.31 | 0.00 | 0.00 | 1.30 |
| time (sec) |
N/A | 1.986 | 11.031 | 8.994 | 0.000 | 0.144 | 0.000 | 0.000 | 8.685 |
| 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 | 477 | 455 | 381 | 1407 | 0 | 549 | 0 | 0 | 903 |
| N.S. |
1 | 0.95 | 0.80 | 2.95 | 0.00 | 1.15 | 0.00 | 0.00 | 1.89 |
| time (sec) |
N/A | 2.735 | 5.385 | 21.161 | 0.000 | 0.177 | 0.000 | 0.000 | 4.861 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 404 | 421 | 319 | 1265 | 0 | 487 | 0 | 0 | 600 |
| N.S. |
1 | 1.04 | 0.79 | 3.13 | 0.00 | 1.21 | 0.00 | 0.00 | 1.49 |
| time (sec) |
N/A | 2.508 | 5.932 | 13.414 | 0.000 | 0.162 | 0.000 | 0.000 | 4.408 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 379 | 391 | 275 | 1222 | 0 | 474 | 0 | 0 | 547 |
| N.S. |
1 | 1.03 | 0.73 | 3.22 | 0.00 | 1.25 | 0.00 | 0.00 | 1.44 |
| time (sec) |
N/A | 2.540 | 8.543 | 10.899 | 0.000 | 0.174 | 0.000 | 0.000 | 4.837 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 373 | 380 | 257 | 1223 | 0 | 455 | 0 | 0 | 516 |
| N.S. |
1 | 1.02 | 0.69 | 3.28 | 0.00 | 1.22 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 2.484 | 6.897 | 6.666 | 0.000 | 0.178 | 0.000 | 0.000 | 4.947 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 386 | 316 | 1382 | 0 | 455 | 0 | 0 | 524 |
| N.S. |
1 | 1.00 | 0.82 | 3.58 | 0.00 | 1.18 | 0.00 | 0.00 | 1.36 |
| time (sec) |
N/A | 2.587 | 6.692 | 5.634 | 0.000 | 0.160 | 0.000 | 0.000 | 7.133 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 383 | 390 | 271 | 1423 | 0 | 478 | 0 | 0 | 559 |
| N.S. |
1 | 1.02 | 0.71 | 3.72 | 0.00 | 1.25 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 2.597 | 10.412 | 6.121 | 0.000 | 0.177 | 0.000 | 0.000 | 9.548 |
| 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 | 401 | 411 | 463 | 1523 | 0 | 525 | 0 | 0 | 866 |
| N.S. |
1 | 1.02 | 1.15 | 3.80 | 0.00 | 1.31 | 0.00 | 0.00 | 2.16 |
| time (sec) |
N/A | 2.596 | 13.469 | 10.733 | 0.000 | 0.174 | 0.000 | 0.000 | 11.877 |
| 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 | 475 | 445 | 381 | 1523 | 0 | 588 | 0 | 0 | 1161 |
| N.S. |
1 | 0.94 | 0.80 | 3.21 | 0.00 | 1.24 | 0.00 | 0.00 | 2.44 |
| time (sec) |
N/A | 2.848 | 13.160 | 12.780 | 0.000 | 0.183 | 0.000 | 0.000 | 12.684 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 285 | 311 | 335 | 1097 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 1.18 | 3.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.326 | 4.717 | 13.231 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 228 | 272 | 803 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 1.30 | 3.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.655 | 3.897 | 2.673 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 158 | 214 | 981 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.46 | 6.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.149 | 2.456 | 3.335 | 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 | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 97 | 102 | 173 | 323 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.78 | 3.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.745 | 2.007 | 3.457 | 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 | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 118 | 118 | 212 | 384 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.80 | 3.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.072 | 1.611 | 3.176 | 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 | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 169 | 264 | 447 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.67 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.557 | 4.256 | 3.549 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |