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 | C | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 213 | 372 | 746 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.75 | 3.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.395 | 18.382 | 0.481 | 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 | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 420 | 1290 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.44 | 4.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.606 | 14.384 | 0.661 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 635 | 2213 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.68 | 5.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.846 | 16.556 | 1.028 | 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(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 291 | 1635 | 0 | 639 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.77 | 4.33 | 0.00 | 1.69 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.482 | 1.606 | 0.437 | 0.000 | 0.190 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 233 | 1305 | 0 | 562 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 4.39 | 0.00 | 1.89 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.344 | 1.126 | 0.383 | 0.000 | 0.165 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 225 | 225 | 203 | 993 | 0 | 493 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.90 | 4.41 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.231 | 0.831 | 0.365 | 0.000 | 0.216 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 236 | 236 | 406 | 738 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.72 | 3.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.454 | 12.685 | 0.356 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 232 | 398 | 1167 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.72 | 5.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.444 | 12.643 | 0.407 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 422 | 1403 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.43 | 4.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.676 | 15.018 | 0.672 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 375 | 375 | 634 | 2327 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.69 | 6.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.923 | 16.721 | 1.062 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 462 | 462 | 357 | 1983 | 0 | 726 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.77 | 4.29 | 0.00 | 1.57 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.616 | 2.219 | 0.475 | 0.000 | 0.198 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 372 | 291 | 1635 | 0 | 639 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 4.40 | 0.00 | 1.72 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.461 | 1.665 | 0.455 | 0.000 | 0.180 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 288 | 254 | 1305 | 0 | 562 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.88 | 4.53 | 0.00 | 1.95 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.310 | 1.140 | 0.375 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 453 | 1067 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.55 | 3.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.638 | 13.055 | 0.419 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 296 | 442 | 1563 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.49 | 5.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.655 | 14.026 | 0.490 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 315 | 451 | 1742 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.43 | 5.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.678 | 16.010 | 0.739 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 376 | 376 | 486 | 2438 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.29 | 6.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.924 | 16.224 | 1.095 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 465 | 465 | 729 | 3548 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.57 | 7.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.198 | 16.774 | 1.648 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 320 | 320 | 230 | 1305 | 0 | 562 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.72 | 4.08 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.394 | 1.124 | 0.409 | 0.000 | 0.158 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 180 | 993 | 0 | 493 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.73 | 4.04 | 0.00 | 2.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.273 | 0.953 | 0.363 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
| 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 | 183 | 183 | 154 | 671 | 0 | 435 | 0 | 0 | 199 |
| N.S. | 1 | 1.00 | 0.84 | 3.67 | 0.00 | 2.38 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.181 | 0.729 | 0.333 | 0.000 | 0.115 | 0.000 | 0.000 | 0.800 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 93 | 249 | 0 | 371 | 0 | 0 | 135 |
| N.S. | 1 | 1.00 | 0.72 | 1.92 | 0.00 | 2.85 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 0.084 | 3.430 | 0.306 | 0.000 | 0.114 | 0.000 | 0.000 | 0.885 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 118 | 118 | 81 | 194 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.69 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.172 | 0.213 | 0.281 | 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 | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 320 | 639 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.48 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.393 | 14.781 | 0.455 | 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 | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 299 | 420 | 1182 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.40 | 3.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.610 | 15.977 | 0.648 | 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(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 387 | 304 | 1312 | 0 | 910 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.79 | 3.39 | 0.00 | 2.35 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.463 | 1.916 | 0.740 | 0.000 | 0.347 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 262 | 262 | 189 | 1336 | 0 | 789 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.72 | 5.10 | 0.00 | 3.01 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.312 | 1.562 | 0.631 | 0.000 | 0.321 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 170 | 519 | 0 | 683 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.83 | 2.54 | 0.00 | 3.35 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.221 | 0.877 | 0.460 | 0.000 | 0.168 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 151 | 432 | 0 | 610 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.82 | 2.34 | 0.00 | 3.30 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.146 | 0.600 | 0.450 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 190 | 460 | 433 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.42 | 2.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.322 | 14.086 | 0.451 | 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 | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 482 | 912 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.59 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.638 | 15.838 | 0.763 | 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) | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 398 | 398 | 678 | 1568 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.70 | 3.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.901 | 16.865 | 1.007 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 550 | 550 | 372 | 1750 | 0 | 1538 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.68 | 3.18 | 0.00 | 2.80 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.778 | 4.022 | 1.739 | 0.000 | 0.677 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 413 | 334 | 1412 | 0 | 1348 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.81 | 3.42 | 0.00 | 3.26 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.523 | 3.035 | 1.421 | 0.000 | 0.408 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 331 | 331 | 274 | 954 | 0 | 1193 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.83 | 2.88 | 0.00 | 3.60 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.356 | 2.432 | 1.232 | 0.000 | 0.261 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 307 | 224 | 864 | 0 | 1076 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.73 | 2.81 | 0.00 | 3.50 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.310 | 2.108 | 1.077 | 0.000 | 0.189 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 275 | 193 | 754 | 0 | 956 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 2.74 | 0.00 | 3.48 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.250 | 1.742 | 0.987 | 0.000 | 0.177 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 349 | 349 | 743 | 858 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.13 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.695 | 16.855 | 1.258 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 437 | 437 | 750 | 1345 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.72 | 3.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.952 | 17.308 | 1.783 | 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) | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 532 | 532 | 820 | 2004 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.54 | 3.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.245 | 17.419 | 2.665 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 58 | 76 | 0 | 148 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 1.31 | 0.00 | 2.55 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.031 | 0.063 | 0.167 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 59 | 59 | 59 | 167 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.089 | 0.091 | 0.258 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 84 | 218 | 0 | 491 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.78 | 2.02 | 0.00 | 4.55 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.054 | 0.224 | 0.325 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 403 | 377 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.25 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.268 | 5.564 | 0.377 | 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 | 170 | 170 | 125 | 451 | 0 | 211 | 0 | 0 | 177 |
| N.S. |
1 | 1.00 | 0.74 | 2.65 | 0.00 | 1.24 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 0.139 | 1.349 | 0.308 | 0.000 | 0.151 | 0.000 | 0.000 | 1.349 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 103 | 413 | 0 | 192 | 0 | 0 | 166 |
| N.S. |
1 | 1.00 | 0.74 | 2.95 | 0.00 | 1.37 | 0.00 | 0.00 | 1.19 |
| time (sec) |
N/A | 0.126 | 0.903 | 0.286 | 0.000 | 0.163 | 0.000 | 0.000 | 1.156 |
| 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 | 108 | 108 | 86 | 371 | 0 | 175 | 0 | 0 | 128 |
| N.S. |
1 | 1.00 | 0.80 | 3.44 | 0.00 | 1.62 | 0.00 | 0.00 | 1.19 |
| time (sec) |
N/A | 0.109 | 0.444 | 0.287 | 0.000 | 0.144 | 0.000 | 0.000 | 1.011 |
| 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 | 75 | 75 | 67 | 326 | 0 | 156 | 0 | 0 | 85 |
| N.S. | 1 | 1.00 | 0.89 | 4.35 | 0.00 | 2.08 | 0.00 | 0.00 | 1.13 |
| time (sec) |
N/A | 0.097 | 0.244 | 0.277 | 0.000 | 0.118 | 0.000 | 0.000 | 0.993 |
| 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 | 71 | 71 | 64 | 246 | 0 | 185 | 0 | 0 | 96 |
| N.S. |
1 | 1.00 | 0.90 | 3.46 | 0.00 | 2.61 | 0.00 | 0.00 | 1.35 |
| time (sec) |
N/A | 0.104 | 0.369 | 0.326 | 0.000 | 0.115 | 0.000 | 0.000 | 1.440 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 103 | 107 | 401 | 0 | 213 | 0 | 0 | 150 |
| N.S. |
1 | 1.00 | 1.04 | 3.89 | 0.00 | 2.07 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 0.120 | 0.498 | 0.544 | 0.000 | 0.161 | 0.000 | 0.000 | 1.965 |
| 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 | 140 | 140 | 134 | 636 | 0 | 235 | 0 | 0 | 177 |
| N.S. |
1 | 1.00 | 0.96 | 4.54 | 0.00 | 1.68 | 0.00 | 0.00 | 1.26 |
| time (sec) |
N/A | 0.132 | 0.860 | 0.720 | 0.000 | 0.126 | 0.000 | 0.000 | 2.394 |
| 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 | 264 | 264 | 196 | 666 | 0 | 299 | 0 | 0 | 275 |
| N.S. |
1 | 1.00 | 0.74 | 2.52 | 0.00 | 1.13 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 0.240 | 1.841 | 0.327 | 0.000 | 0.146 | 0.000 | 0.000 | 1.535 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 223 | 223 | 167 | 610 | 0 | 271 | 0 | 0 | 264 |
| N.S. |
1 | 1.00 | 0.75 | 2.74 | 0.00 | 1.22 | 0.00 | 0.00 | 1.18 |
| time (sec) |
N/A | 0.217 | 1.500 | 0.342 | 0.000 | 0.140 | 0.000 | 0.000 | 1.350 |
| 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 | 182 | 182 | 139 | 548 | 0 | 243 | 0 | 0 | 229 |
| N.S. |
1 | 1.00 | 0.76 | 3.01 | 0.00 | 1.34 | 0.00 | 0.00 | 1.26 |
| time (sec) |
N/A | 0.198 | 1.191 | 0.325 | 0.000 | 0.143 | 0.000 | 0.000 | 1.342 |
| 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 | 140 | 140 | 106 | 487 | 0 | 216 | 0 | 0 | 177 |
| N.S. |
1 | 1.00 | 0.76 | 3.48 | 0.00 | 1.54 | 0.00 | 0.00 | 1.26 |
| time (sec) |
N/A | 0.177 | 0.635 | 0.310 | 0.000 | 0.138 | 0.000 | 0.000 | 1.340 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 102 | 405 | 0 | 240 | 0 | 0 | 158 |
| N.S. |
1 | 1.00 | 0.84 | 3.35 | 0.00 | 1.98 | 0.00 | 0.00 | 1.31 |
| time (sec) |
N/A | 0.163 | 0.665 | 0.349 | 0.000 | 0.116 | 0.000 | 0.000 | 1.570 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 105 | 650 | 0 | 255 | 0 | 0 | 194 |
| N.S. |
1 | 1.00 | 0.83 | 5.16 | 0.00 | 2.02 | 0.00 | 0.00 | 1.54 |
| time (sec) |
N/A | 0.177 | 1.228 | 0.562 | 0.000 | 0.115 | 0.000 | 0.000 | 2.288 |
| 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 | 172 | 172 | 175 | 723 | 0 | 286 | 0 | 0 | 227 |
| N.S. |
1 | 1.00 | 1.02 | 4.20 | 0.00 | 1.66 | 0.00 | 0.00 | 1.32 |
| time (sec) |
N/A | 0.203 | 1.162 | 0.830 | 0.000 | 0.130 | 0.000 | 0.000 | 2.616 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 305 | 235 | 825 | 0 | 358 | 0 | 0 | 364 |
| N.S. |
1 | 1.00 | 0.77 | 2.70 | 0.00 | 1.17 | 0.00 | 0.00 | 1.19 |
| time (sec) |
N/A | 0.349 | 2.040 | 0.367 | 0.000 | 0.162 | 0.000 | 0.000 | 1.738 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 255 | 197 | 745 | 0 | 321 | 0 | 0 | 328 |
| N.S. |
1 | 1.00 | 0.77 | 2.92 | 0.00 | 1.26 | 0.00 | 0.00 | 1.29 |
| time (sec) |
N/A | 0.324 | 1.268 | 0.348 | 0.000 | 0.153 | 0.000 | 0.000 | 1.539 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 158 | 664 | 0 | 284 | 0 | 0 | 275 |
| N.S. |
1 | 1.00 | 0.77 | 3.24 | 0.00 | 1.39 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 0.311 | 1.392 | 0.357 | 0.000 | 0.153 | 0.000 | 0.000 | 1.432 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 150 | 641 | 0 | 302 | 0 | 0 | 248 |
| N.S. |
1 | 1.00 | 0.74 | 3.17 | 0.00 | 1.50 | 0.00 | 0.00 | 1.23 |
| time (sec) |
N/A | 0.299 | 1.195 | 0.409 | 0.000 | 0.178 | 0.000 | 0.000 | 1.458 |
| 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 | 192 | 192 | 165 | 1210 | 0 | 306 | 0 | 0 | 255 |
| N.S. |
1 | 1.00 | 0.86 | 6.30 | 0.00 | 1.59 | 0.00 | 0.00 | 1.33 |
| time (sec) |
N/A | 0.287 | 1.168 | 0.677 | 0.000 | 0.138 | 0.000 | 0.000 | 2.339 |
| 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 | 204 | 204 | 176 | 970 | 0 | 326 | 0 | 0 | 291 |
| N.S. |
1 | 1.00 | 0.86 | 4.75 | 0.00 | 1.60 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 0.297 | 2.304 | 0.834 | 0.000 | 0.143 | 0.000 | 0.000 | 3.587 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 260 | 1074 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.43 | 5.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.504 | 12.531 | 0.364 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 207 | 822 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.51 | 6.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.320 | 11.474 | 0.471 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 128 | 295 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.44 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.128 | 10.942 | 0.278 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 58 | 217 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 3.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.097 | 0.224 | 0.291 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 206 | 300 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.40 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.193 | 12.586 | 0.386 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 150 | 260 | 441 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.73 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.485 | 12.294 | 0.705 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 318 | 1066 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 3.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.596 | 13.275 | 0.817 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 224 | 224 | 280 | 849 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.25 | 3.79 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.398 | 12.771 | 0.676 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 198 | 198 | 260 | 808 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.31 | 4.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.347 | 12.403 | 0.632 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 274 | 721 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 3.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.395 | 12.712 | 0.779 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 256 | 256 | 316 | 856 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.23 | 3.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.596 | 14.280 | 0.740 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 427 | 1004 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.24 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.829 | 16.965 | 1.386 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 367 | 390 | 1977 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.06 | 5.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.664 | 15.113 | 1.394 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 344 | 360 | 1937 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 5.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.636 | 13.794 | 1.284 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 337 | 337 | 365 | 1850 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.08 | 5.49 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.608 | 14.517 | 1.223 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 383 | 1744 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.11 | 5.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.695 | 14.901 | 1.240 | 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(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 420 | 420 | 458 | 1975 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.09 | 4.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.957 | 15.561 | 1.547 | 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(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 523 | 523 | 570 | 2131 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.09 | 4.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.265 | 17.325 | 2.869 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 41 | 203 | 0 | 77 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.93 | 4.61 | 0.00 | 1.75 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.016 | 0.057 | 0.237 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 37 | 180 | 0 | 71 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.84 | 4.09 | 0.00 | 1.61 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.016 | 0.045 | 0.257 | 0.000 | 0.246 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 17 | 17 | 134 | 0 | 59 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 7.88 | 0.00 | 3.47 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.008 | 0.019 | 0.236 | 0.000 | 0.190 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 17 | 17 | 19 | 0 | 53 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.00 | 3.12 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.008 | 0.024 | 0.075 | 0.000 | 0.153 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 40 | 40 | 40 | 183 | 0 | 96 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 4.58 | 0.00 | 2.40 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.015 | 0.068 | 0.251 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 37 | 214 | 0 | 95 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.84 | 4.86 | 0.00 | 2.16 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.016 | 0.083 | 0.224 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 116 | 159 | 553 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 4.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.253 | 1.820 | 0.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 82 | 228 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 2.92 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.108 | 0.113 | 0.258 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 55 | 49 | 189 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 3.44 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.072 | 0.062 | 0.288 | 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 | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 30 | 30 | 30 | 151 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 5.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.033 | 0.075 | 0.209 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 196 | 355 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.45 | 4.44 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.160 | 2.749 | 0.308 | 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 | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 211 | 425 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.59 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.360 | 4.121 | 0.568 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 560 | 560 | 1224 | 2949 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.19 | 5.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.984 | 6.336 | 1.953 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 473 | 473 | 1175 | 2052 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.48 | 4.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.674 | 20.686 | 0.322 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 385 | 385 | 408 | 1693 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.06 | 4.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.463 | 10.964 | 0.530 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 351 | 351 | 273 | 1687 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.78 | 4.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.325 | 12.774 | 0.869 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 284 | 407 | 1729 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.43 | 6.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.327 | 13.521 | 0.311 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 350 | 1315 | 2481 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.76 | 7.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.537 | 6.400 | 0.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |