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 | B | F | F | B | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1443 | 1443 | 5157 | 0 | 0 | 36449 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.57 | 0.00 | 0.00 | 25.26 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.520 | 17.912 | 2.496 | 0.000 | 0.838 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1049 | 1049 | 1170 | 0 | 0 | 17953 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 17.11 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.113 | 7.541 | 2.596 | 0.000 | 0.629 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 641 | 641 | 958 | 1363 | 0 | 6966 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.49 | 2.13 | 0.00 | 10.87 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.650 | 2.854 | 3.718 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 123 | 421 | 300 | 1660 | 0 | 258 | 307 |
| N.S. |
1 | 1.00 | 0.87 | 2.99 | 2.13 | 11.77 | 0.00 | 1.83 | 2.18 |
| time (sec) |
N/A | 0.154 | 0.297 | 1.163 | 0.278 | 0.433 | 0.000 | 0.454 | 0.754 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | F(-1) | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 39 | 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 | -0.03 |
| time (sec) |
N/A | 0.086 | 180.003 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1519 | 1519 | 3060 | 0 | 0 | 8301 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.01 | 0.00 | 0.00 | 5.46 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.708 | 18.166 | 5.046 | 0.000 | 0.567 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1067 | 1067 | 1948 | 0 | 0 | 4087 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.83 | 0.00 | 0.00 | 3.83 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.238 | 7.826 | 4.865 | 0.000 | 0.435 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 631 | 631 | 481 | 4066 | 0 | 1646 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.76 | 6.44 | 0.00 | 2.61 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.703 | 3.260 | 5.851 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 91 | 169 | 147 | 288 | 0 | 145 | 249 |
| N.S. | 1 | 1.00 | 1.02 | 1.90 | 1.65 | 3.24 | 0.00 | 1.63 | 2.80 |
| time (sec) |
N/A | 0.139 | 0.156 | 1.694 | 0.487 | 0.384 | 0.000 | 0.459 | 1.640 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.057 | 180.003 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1294 | 1294 | 1632 | 0 | 0 | 12510 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.26 | 0.00 | 0.00 | 9.67 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.892 | 11.727 | 2.289 | 0.000 | 0.639 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 904 | 904 | 1211 | 0 | 0 | 5647 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.34 | 0.00 | 0.00 | 6.25 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.449 | 9.485 | 2.109 | 0.000 | 0.524 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 454 | 454 | 317 | 1897 | 0 | 1794 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 4.18 | 0.00 | 3.95 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.714 | 2.813 | 6.385 | 0.000 | 0.472 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 96 | 125 | 141 | 459 | 0 | 128 | 468 |
| N.S. | 1 | 1.00 | 0.79 | 1.03 | 1.17 | 3.79 | 0.00 | 1.06 | 3.87 |
| time (sec) |
N/A | 0.176 | 0.378 | 1.443 | 0.459 | 0.440 | 0.000 | 0.481 | 2.002 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.067 | 180.003 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1479 | 1479 | 2713 | 0 | 0 | 15580 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.83 | 0.00 | 0.00 | 10.53 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 2.028 | 20.911 | 2.730 | 0.000 | 0.709 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 894 | 894 | 588 | 2284 | 0 | 5468 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.66 | 2.55 | 0.00 | 6.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.110 | 5.472 | 5.715 | 0.000 | 0.527 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | A | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 120 | 120 | 152 | 210 | 217 | 896 | 0 | 279 | 381 |
| N.S. | 1 | 1.00 | 1.27 | 1.75 | 1.81 | 7.47 | 0.00 | 2.32 | 3.18 |
| time (sec) |
N/A | 0.144 | 0.312 | 1.470 | 0.487 | 0.502 | 0.000 | 0.476 | 2.368 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 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 | -0.03 |
| time (sec) |
N/A | 0.055 | 180.003 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 451 | 451 | 1002 | 0 | 0 | 1816 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.22 | 0.00 | 0.00 | 4.03 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.541 | 5.216 | 180.000 | 0.000 | 0.417 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 325 | 325 | 492 | 0 | 0 | 990 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.51 | 0.00 | 0.00 | 3.05 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.507 | 4.249 | 180.000 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 236 | 451 | 0 | 500 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.15 | 2.20 | 0.00 | 2.44 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.267 | 0.688 | 3.049 | 0.000 | 0.383 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 28 | 33 | 75 | 67 | 0 | 61 | 254 |
| N.S. | 1 | 1.00 | 0.82 | 0.97 | 2.21 | 1.97 | 0.00 | 1.79 | 7.47 |
| time (sec) |
N/A | 0.035 | 0.028 | 0.745 | 0.275 | 0.402 | 0.000 | 0.481 | 0.409 |
| 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 | 29 | 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 | -0.03 |
| time (sec) |
N/A | 0.030 | 21.318 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 638 | 638 | 1374 | 0 | 0 | 2193 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.15 | 0.00 | 0.00 | 3.44 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.910 | 4.024 | 3.241 | 0.000 | 0.461 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 462 | 462 | 815 | 0 | 0 | 1227 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.76 | 0.00 | 0.00 | 2.66 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.775 | 3.161 | 3.157 | 0.000 | 0.428 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 286 | 286 | 339 | 970 | 0 | 635 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.19 | 3.39 | 0.00 | 2.22 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.426 | 1.311 | 13.155 | 0.000 | 0.398 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 80 | 109 | 126 | 209 | 0 | 113 | 384 |
| N.S. | 1 | 1.00 | 1.13 | 1.54 | 1.77 | 2.94 | 0.00 | 1.59 | 5.41 |
| time (sec) |
N/A | 0.162 | 0.131 | 2.536 | 0.487 | 0.409 | 0.000 | 0.471 | 0.474 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 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 | -0.03 |
| time (sec) |
N/A | 0.042 | 42.448 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F | F(-2) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 656 | 656 | 14209 | 0 | 0 | 5885 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 21.66 | 0.00 | 0.00 | 8.97 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.908 | 27.736 | 5.767 | 0.000 | 0.522 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 486 | 486 | 700 | 0 | 0 | 2987 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.44 | 0.00 | 0.00 | 6.15 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.720 | 5.178 | 5.743 | 0.000 | 0.479 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 322 | 322 | 296 | 932 | 0 | 1266 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 2.89 | 0.00 | 3.93 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.416 | 1.198 | 10.707 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 48 | 138 | 130 | 203 | 0 | 94 | 360 |
| N.S. | 1 | 1.00 | 0.84 | 2.42 | 2.28 | 3.56 | 0.00 | 1.65 | 6.32 |
| time (sec) |
N/A | 0.090 | 0.066 | 5.353 | 0.268 | 0.445 | 0.000 | 0.473 | 0.494 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.056 | 180.001 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1049 | 1049 | 9140 | 0 | 0 | 4128 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 8.71 | 0.00 | 0.00 | 3.94 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.109 | 23.283 | 180.000 | 0.000 | 0.488 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 734 | 734 | 2950 | 0 | 0 | 2074 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 4.02 | 0.00 | 0.00 | 2.83 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.842 | 22.466 | 180.000 | 0.000 | 0.472 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 439 | 439 | 1541 | 1065 | 0 | 888 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.51 | 2.43 | 0.00 | 2.02 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.477 | 1.718 | 3.162 | 0.000 | 0.418 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 90 | 90 | 92 | 108 | 138 | 134 | 0 | 147 | -1 |
| N.S. | 1 | 1.00 | 1.02 | 1.20 | 1.53 | 1.49 | 0.00 | 1.63 | -0.01 |
| time (sec) |
N/A | 0.125 | 0.133 | 1.337 | 0.467 | 0.418 | 0.000 | 0.470 | 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 | 35 | 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 | -0.03 |
| time (sec) |
N/A | 0.043 | 19.710 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1164 | 1164 | 1991 | 0 | 0 | 16781 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.71 | 0.00 | 0.00 | 14.42 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.761 | 16.315 | 2.719 | 0.000 | 0.721 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 795 | 795 | 1592 | 0 | 0 | 7596 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.00 | 0.00 | 0.00 | 9.55 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.282 | 11.563 | 2.622 | 0.000 | 0.509 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 442 | 442 | 459 | 1815 | 0 | 2461 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.04 | 4.11 | 0.00 | 5.57 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.639 | 4.373 | 5.826 | 0.000 | 0.442 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 113 | 171 | 106 | 168 | 581 | 0 | 146 | 668 |
| N.S. | 1 | 1.00 | 1.51 | 0.94 | 1.49 | 5.14 | 0.00 | 1.29 | 5.91 |
| time (sec) |
N/A | 0.191 | 0.206 | 1.640 | 0.485 | 0.499 | 0.000 | 0.427 | 4.817 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.059 | 172.008 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1185 | 1185 | 3310 | 0 | 0 | 25021 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.79 | 0.00 | 0.00 | 21.11 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.731 | 24.800 | 3.021 | 0.000 | 0.810 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 746 | 746 | 886 | 2580 | 0 | 8973 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.19 | 3.46 | 0.00 | 12.03 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.877 | 9.061 | 8.084 | 0.000 | 0.624 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F(-2) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 160 | 196 | 230 | 265 | 1279 | 0 | 343 | -1 |
| N.S. |
1 | 1.00 | 1.22 | 1.44 | 1.66 | 7.99 | 0.00 | 2.14 | -0.01 |
| time (sec) |
N/A | 0.186 | 0.595 | 1.756 | 0.490 | 0.562 | 0.000 | 0.460 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-2) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.056 | 123.538 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 601 | 601 | 7478 | 0 | 0 | 7283 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 12.44 | 0.00 | 0.00 | 12.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.702 | 16.224 | 2.441 | 0.000 | 0.480 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 419 | 419 | 783 | 0 | 0 | 3408 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.87 | 0.00 | 0.00 | 8.13 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.560 | 9.416 | 2.125 | 0.000 | 0.461 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 243 | 416 | 528 | 0 | 1339 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.71 | 2.17 | 0.00 | 5.51 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.325 | 1.340 | 3.187 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 50 | 50 | 34 | 110 | 211 | 0 | 110 | 409 |
| N.S. | 1 | 1.00 | 1.00 | 0.68 | 2.20 | 4.22 | 0.00 | 2.20 | 8.18 |
| time (sec) |
N/A | 0.052 | 0.042 | 0.756 | 0.270 | 0.418 | 0.000 | 0.431 | 0.873 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 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 | -0.03 |
| time (sec) |
N/A | 0.043 | 140.656 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 721 | 721 | 4761 | 0 | 0 | 7711 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 6.60 | 0.00 | 0.00 | 10.69 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.173 | 11.064 | 2.357 | 0.000 | 0.517 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 517 | 517 | 972 | 0 | 0 | 3633 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.88 | 0.00 | 0.00 | 7.03 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.918 | 8.282 | 2.125 | 0.000 | 0.463 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 294 | 294 | 364 | 1017 | 0 | 1447 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.24 | 3.46 | 0.00 | 4.92 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.486 | 2.610 | 5.404 | 0.000 | 0.407 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 77 | 98 | 105 | 134 | 360 | 0 | 120 | 380 |
| N.S. | 1 | 1.00 | 1.27 | 1.36 | 1.74 | 4.68 | 0.00 | 1.56 | 4.94 |
| time (sec) |
N/A | 0.189 | 0.369 | 1.418 | 0.476 | 0.371 | 0.000 | 0.468 | 0.635 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 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 | -0.03 |
| time (sec) |
N/A | 0.051 | 142.651 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 718 | 718 | 13888 | 0 | 0 | 10474 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 19.34 | 0.00 | 0.00 | 14.59 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.164 | 10.195 | 3.014 | 0.000 | 0.560 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 518 | 518 | 978 | 0 | 0 | 5069 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.89 | 0.00 | 0.00 | 9.79 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.888 | 10.128 | 1.579 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 324 | 324 | 313 | 938 | 0 | 2006 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.97 | 2.90 | 0.00 | 6.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.519 | 1.775 | 13.298 | 0.000 | 0.445 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 59 | 59 | 52 | 135 | 131 | 299 | 0 | 121 | 356 |
| N.S. | 1 | 1.00 | 0.88 | 2.29 | 2.22 | 5.07 | 0.00 | 2.05 | 6.03 |
| time (sec) |
N/A | 0.084 | 0.080 | 2.409 | 0.265 | 0.394 | 0.000 | 0.452 | 0.468 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.053 | 180.004 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1428 | 1428 | 8578 | 0 | 0 | 17737 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 6.01 | 0.00 | 0.00 | 12.42 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.681 | 10.265 | 2.510 | 0.000 | 0.715 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 982 | 982 | 1467 | 0 | 0 | 8198 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.49 | 0.00 | 0.00 | 8.35 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.264 | 9.856 | 2.245 | 0.000 | 0.574 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 591 | 591 | 591 | 1529 | 0 | 2955 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 2.59 | 0.00 | 5.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.624 | 5.379 | 5.835 | 0.000 | 0.516 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 104 | 160 | 140 | 173 | 441 | 0 | 200 | 142 |
| N.S. | 1 | 1.00 | 1.54 | 1.35 | 1.66 | 4.24 | 0.00 | 1.92 | 1.37 |
| time (sec) |
N/A | 0.120 | 0.494 | 1.541 | 0.485 | 0.433 | 0.000 | 0.463 | 2.869 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.058 | 56.516 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 914 | 914 | 3086 | 0 | 0 | 14354 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.38 | 0.00 | 0.00 | 15.70 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.610 | 25.871 | 2.780 | 0.000 | 0.688 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 499 | 499 | 1862 | 1771 | 0 | 4647 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.73 | 3.55 | 0.00 | 9.31 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.796 | 7.967 | 5.936 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F(-2) | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 144 | 135 | 139 | 208 | 1040 | 0 | 185 | 768 |
| N.S. |
1 | 1.00 | 0.94 | 0.97 | 1.44 | 7.22 | 0.00 | 1.28 | 5.33 |
| time (sec) |
N/A | 0.226 | 2.019 | 1.528 | 0.487 | 0.499 | 0.000 | 0.484 | 5.232 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-2) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 39 | 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 | -0.03 |
| time (sec) |
N/A | 0.084 | 140.357 | 180.000 | 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 | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 978 | 978 | 1337 | 3280 | 0 | 17940 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 3.35 | 0.00 | 18.34 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.148 | 9.220 | 5.916 | 0.000 | 0.688 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | A | B | F(-2) | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 227 | 249 | 350 | 2568 | 0 | 458 | 398 |
| N.S. |
1 | 1.00 | 1.26 | 1.38 | 1.94 | 14.27 | 0.00 | 2.54 | 2.21 |
| time (sec) |
N/A | 0.182 | 0.818 | 1.682 | 0.508 | 0.666 | 0.000 | 0.486 | 7.495 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | F(-2) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 39 | 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 | -0.03 |
| time (sec) |
N/A | 0.082 | 180.002 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 752 | 752 | 7955 | 0 | 0 | 20211 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 10.58 | 0.00 | 0.00 | 26.88 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.921 | 48.618 | 2.743 | 0.000 | 0.557 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 502 | 502 | 1161 | 0 | 0 | 9084 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.31 | 0.00 | 0.00 | 18.10 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.688 | 22.092 | 2.469 | 0.000 | 0.433 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 298 | 376 | 649 | 0 | 3272 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.26 | 2.18 | 0.00 | 10.98 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.387 | 5.281 | 5.123 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 60 | 65 | 161 | 545 | 0 | 145 | 470 |
| N.S. | 1 | 1.00 | 0.83 | 0.90 | 2.24 | 7.57 | 0.00 | 2.01 | 6.53 |
| time (sec) |
N/A | 0.071 | 0.088 | 0.932 | 0.276 | 0.336 | 0.000 | 0.451 | 0.996 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.055 | 180.001 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1038 | 1038 | 5829 | 0 | 0 | 24038 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 5.62 | 0.00 | 0.00 | 23.16 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.520 | 39.987 | 3.341 | 0.000 | 0.622 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 714 | 714 | 1803 | 0 | 0 | 11068 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.53 | 0.00 | 0.00 | 15.50 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.199 | 21.674 | 3.353 | 0.000 | 0.450 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 413 | 734 | 1284 | 0 | 4079 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.78 | 3.11 | 0.00 | 9.88 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.649 | 7.358 | 11.734 | 0.000 | 0.401 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | B | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 145 | 140 | 217 | 892 | 0 | 182 | 628 |
| N.S. | 1 | 1.00 | 1.31 | 1.26 | 1.95 | 8.04 | 0.00 | 1.64 | 5.66 |
| time (sec) |
N/A | 0.373 | 1.016 | 2.624 | 0.483 | 0.376 | 0.000 | 0.454 | 0.691 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.057 | 180.002 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 972 | 972 | 14876 | 0 | 0 | 24387 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 15.30 | 0.00 | 0.00 | 25.09 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.572 | 55.318 | 3.122 | 0.000 | 0.658 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 689 | 689 | 1748 | 0 | 0 | 11172 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.54 | 0.00 | 0.00 | 16.21 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.186 | 30.367 | 3.041 | 0.000 | 0.459 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F(-1) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 435 | 435 | 455 | 1098 | 0 | 4064 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 2.52 | 0.00 | 9.34 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.663 | 3.399 | 8.258 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 64 | 143 | 173 | 617 | 0 | 184 | 1329 |
| N.S. | 1 | 1.00 | 0.80 | 1.79 | 2.16 | 7.71 | 0.00 | 2.30 | 16.61 |
| time (sec) |
N/A | 0.077 | 0.120 | 2.151 | 0.282 | 0.352 | 0.000 | 0.476 | 1.013 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 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 | -0.03 |
| time (sec) |
N/A | 0.050 | 180.002 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1795 | 1795 | 10559 | 0 | 0 | 43440 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 5.88 | 0.00 | 0.00 | 24.20 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 2.421 | 62.923 | 2.481 | 0.000 | 1.110 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1219 | 1219 | 2337 | 0 | 0 | 19402 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.92 | 0.00 | 0.00 | 15.92 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.730 | 30.439 | 2.986 | 0.000 | 0.652 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 762 | 762 | 913 | 1478 | 0 | 6634 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.20 | 1.94 | 0.00 | 8.71 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.821 | 7.182 | 8.661 | 0.000 | 0.482 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F(-2) | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 164 | 186 | 236 | 1035 | 0 | 263 | 196 |
| N.S. |
1 | 1.00 | 1.26 | 1.43 | 1.82 | 7.96 | 0.00 | 2.02 | 1.51 |
| time (sec) |
N/A | 0.164 | 0.308 | 1.772 | 0.483 | 0.452 | 0.000 | 0.501 | 3.612 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-2) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 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 | -0.03 |
| time (sec) |
N/A | 0.059 | 118.322 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | B | F(-1) | F(-2) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1245 | 1245 | 3762 | 0 | 0 | 41729 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.02 | 0.00 | 0.00 | 33.52 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 2.590 | 21.601 | 2.918 | 0.000 | 0.977 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 699 | 699 | 863 | 2767 | 0 | 12895 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.23 | 3.96 | 0.00 | 18.45 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.023 | 9.431 | 11.232 | 0.000 | 0.491 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F(-2) | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 206 | 185 | 183 | 334 | 2653 | 0 | 224 | 531 |
| N.S. |
1 | 1.00 | 0.90 | 0.89 | 1.62 | 12.88 | 0.00 | 1.09 | 2.58 |
| time (sec) |
N/A | 0.288 | 1.757 | 2.787 | 0.494 | 0.567 | 0.000 | 0.434 | 3.470 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-2) | F(-1) | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 39 | 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 | -0.03 |
| time (sec) |
N/A | 0.082 | 138.796 | 180.000 | 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 | B | F(-1) | F(-1) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1122 | 1122 | 2870 | 3563 | 0 | 19958 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.56 | 3.18 | 0.00 | 17.79 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.372 | 8.529 | 11.298 | 0.000 | 0.638 | 0.000 | 0.000 | 0.000 |