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 | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 736 | 27214 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 5.01 | 185.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.115 | 0.134 | 1.251 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 276 | 946 | 12568 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.43 | 45.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.212 | 0.301 | 0.587 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 356 | 1111 | 13825 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.12 | 38.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.383 | 0.282 | 0.591 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 630 | 630 | 1128 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.695 | 0.263 | 0.020 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 546 | 546 | 993 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.531 | 0.200 | 0.023 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 478 | 478 | 917 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.357 | 0.187 | 0.022 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 571 | 571 | 1083 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.589 | 0.254 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 514 | 514 | 1911 | 47964 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.72 | 93.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.618 | 0.320 | 1.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 181 | 1348 | 77072 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 7.45 | 425.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.150 | 0.210 | 3.446 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 451 | 451 | 2248 | 49628 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 4.98 | 110.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.368 | 0.559 | 1.268 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1092 | 1092 | 2544 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.232 | 0.567 | 0.024 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 977 | 977 | 2302 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.998 | 0.442 | 0.028 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 879 | 879 | 2166 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.704 | 0.418 | 0.039 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1007 | 1007 | 2488 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.120 | 0.551 | 0.024 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 403 | 403 | 434 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.226 | 0.336 | 0.019 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 313 | 336 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.169 | 0.252 | 0.017 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 209 | 218 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.102 | 0.163 | 0.031 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 117 | 186 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.093 | 0.130 | 0.018 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 248 | 250 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.143 | 0.226 | 0.017 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 346 | 359 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.184 | 0.281 | 0.019 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 434 | 434 | 457 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.227 | 0.341 | 0.017 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 750 | 750 | 1319 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.555 | 0.549 | 0.022 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 598 | 598 | 960 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.436 | 0.289 | 0.020 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 405 | 405 | 718 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.298 | 0.233 | 0.019 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 263 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.124 | 0.147 | 0.019 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 441 | 821 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.405 | 0.312 | 0.019 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 608 | 608 | 1078 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.514 | 0.359 | 0.020 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 907 | 907 | 1968 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.876 | 0.469 | 0.021 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 639 | 639 | 1522 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.582 | 0.405 | 0.020 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 403 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.155 | 0.240 | 0.022 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 673 | 673 | 976 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.769 | 0.740 | 0.040 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 914 | 914 | 1549 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 1.014 | 1.101 | 0.026 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 367 | 394 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.195 | 0.261 | 0.016 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 283 | 296 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.151 | 0.194 | 0.017 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 199 | 145 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.116 | 0.270 | 0.022 | 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 | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 310 | 326 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.160 | 0.251 | 0.017 | 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 | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 394 | 394 | 422 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.192 | 0.279 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 0 | 304 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 9.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.014 | 0.206 | 0.103 | 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 | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 1395 | 0 | 0 | 763 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 7.54 | 0.00 | 0.00 | 4.12 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.197 | 0.376 | 0.034 | 0.000 | 0.378 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 150 | 741 | 0 | 0 | 405 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 4.94 | 0.00 | 0.00 | 2.70 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.171 | 0.215 | 0.030 | 0.000 | 0.368 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 114 | 277 | 0 | 0 | 173 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.43 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.124 | 0.118 | 0.028 | 0.000 | 0.361 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | 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 | 0.022 | 0.117 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | 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 | 0.022 | 1.786 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 0 | 292 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 10.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.013 | 0.134 | 0.028 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 27 | 0 | 292 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 10.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
| time (sec) |
N/A | 0.007 | 0.125 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 0 | 165 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 6.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
| time (sec) |
N/A | 0.003 | 0.119 | 0.025 | 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 | A | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 114 | 277 | 0 | 0 | 173 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.43 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.124 | 0.125 | 0.029 | 0.000 | 0.370 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 0 | 282 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 9.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.013 | 0.118 | 0.028 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | A |
| verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 0 | 292 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 10.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.012 | 0.116 | 0.028 | 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 | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 433 | 433 | 410 | 0 | 0 | 364 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.375 | 0.252 | 0.101 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 363 | 363 | 352 | 0 | 0 | 301 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.83 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.260 | 0.232 | 0.099 | 0.000 | 0.370 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 255 | 268 | 0 | 0 | 202 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.165 | 0.147 | 0.100 | 0.000 | 0.362 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 304 | 304 | 162 | 0 | 0 | 247 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.53 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.205 | 0.223 | 0.101 | 0.000 | 0.376 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 414 | 302 | 0 | 0 | 334 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.317 | 0.227 | 0.104 | 0.000 | 0.382 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | A | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 484 | 484 | 358 | 0 | 0 | 395 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.424 | 0.258 | 0.108 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 71 | 1640 | 108 | 145 | 128 | 161 | 82 |
| N.S. | 1 | 1.00 | 0.85 | 19.52 | 1.29 | 1.73 | 1.52 | 1.92 | 0.98 |
| time (sec) |
N/A | 0.052 | 0.037 | 0.167 | 0.305 | 0.366 | 2.401 | 4.656 | 4.038 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 68 | 1640 | 106 | 140 | 126 | 161 | 82 |
| N.S. | 1 | 1.00 | 0.81 | 19.52 | 1.26 | 1.67 | 1.50 | 1.92 | 0.98 |
| time (sec) |
N/A | 0.037 | 0.032 | 0.180 | 0.290 | 0.372 | 1.078 | 4.013 | 4.003 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 77 | 58 | 1503 | 86 | 115 | 97 | 122 | 66 |
| N.S. | 1 | 1.00 | 0.75 | 19.52 | 1.12 | 1.49 | 1.26 | 1.58 | 0.86 |
| time (sec) |
N/A | 0.024 | 0.020 | 0.141 | 0.279 | 0.364 | 0.435 | 4.537 | 3.779 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 72 | 1597 | 76 | 68 | 0 | 85 | 73 |
| N.S. | 1 | 1.00 | 1.26 | 28.02 | 1.33 | 1.19 | 0.00 | 1.49 | 1.28 |
| time (sec) |
N/A | 0.047 | 0.033 | 0.235 | 0.292 | 0.379 | 0.000 | 4.201 | 3.868 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 57 | 1443 | 98 | 95 | 99 | 108 | 75 |
| N.S. | 1 | 1.00 | 0.79 | 20.04 | 1.36 | 1.32 | 1.38 | 1.50 | 1.04 |
| time (sec) |
N/A | 0.048 | 0.035 | 0.146 | 0.294 | 0.348 | 0.475 | 5.149 | 3.809 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 83 | 64 | 1442 | 97 | 100 | 128 | 116 | 83 |
| N.S. | 1 | 1.00 | 0.77 | 17.37 | 1.17 | 1.20 | 1.54 | 1.40 | 1.00 |
| time (sec) |
N/A | 0.052 | 0.038 | 0.143 | 0.297 | 0.365 | 1.231 | 3.860 | 3.941 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 83 | 69 | 1451 | 103 | 112 | 129 | 121 | 83 |
| N.S. | 1 | 1.00 | 0.83 | 17.48 | 1.24 | 1.35 | 1.55 | 1.46 | 1.00 |
| time (sec) |
N/A | 0.051 | 0.043 | 0.155 | 0.298 | 0.380 | 2.664 | 6.282 | 3.935 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 157 | 9271 | 256 | 407 | 340 | 506 | 189 |
| N.S. | 1 | 1.00 | 0.76 | 44.79 | 1.24 | 1.97 | 1.64 | 2.44 | 0.91 |
| time (sec) |
N/A | 0.138 | 0.071 | 0.385 | 0.307 | 0.361 | 5.382 | 5.414 | 3.989 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 206 | 154 | 9262 | 253 | 405 | 318 | 497 | 187 |
| N.S. | 1 | 1.00 | 0.75 | 44.96 | 1.23 | 1.97 | 1.54 | 2.41 | 0.91 |
| time (sec) |
N/A | 0.116 | 0.068 | 0.369 | 0.311 | 0.353 | 2.446 | 5.341 | 4.146 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 141 | 8701 | 219 | 350 | 279 | 425 | 165 |
| N.S. | 1 | 1.00 | 0.96 | 59.19 | 1.49 | 2.38 | 1.90 | 2.89 | 1.12 |
| time (sec) |
N/A | 0.058 | 0.049 | 0.354 | 0.288 | 0.353 | 1.098 | 7.320 | 3.879 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | C | B | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 129 | 9164 | 168 | 182 | 0 | 223 | 124 |
| N.S. | 1 | 1.00 | 2.26 | 160.77 | 2.95 | 3.19 | 0.00 | 3.91 | 2.18 |
| time (sec) |
N/A | 0.065 | 0.068 | 0.700 | 0.290 | 0.350 | 0.000 | 4.620 | 3.988 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 181 | 138 | 8407 | 227 | 316 | 280 | 392 | 181 |
| N.S. | 1 | 1.00 | 0.76 | 46.45 | 1.25 | 1.75 | 1.55 | 2.17 | 1.00 |
| time (sec) |
N/A | 0.129 | 0.076 | 0.470 | 0.287 | 0.364 | 1.212 | 6.799 | 4.013 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 151 | 8407 | 230 | 334 | 320 | 403 | 186 |
| N.S. | 1 | 1.00 | 0.74 | 41.21 | 1.13 | 1.64 | 1.57 | 1.98 | 0.91 |
| time (sec) |
N/A | 0.142 | 0.084 | 0.429 | 0.308 | 0.347 | 1.252 | 5.268 | 4.082 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 155 | 8407 | 236 | 337 | 342 | 403 | 190 |
| N.S. | 1 | 1.00 | 0.76 | 41.01 | 1.15 | 1.64 | 1.67 | 1.97 | 0.93 |
| time (sec) |
N/A | 0.144 | 0.085 | 0.451 | 0.300 | 0.364 | 2.715 | 6.980 | 4.197 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 93 | 2350 | 0 | 95 | 0 | 206 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 16.67 | 0.00 | 0.67 | 0.00 | 1.46 | -0.01 |
| time (sec) |
N/A | 0.125 | 0.106 | 0.405 | 0.000 | 0.352 | 0.000 | 3.841 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 93 | 2350 | 0 | 95 | 0 | 206 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 16.67 | 0.00 | 0.67 | 0.00 | 1.46 | -0.01 |
| time (sec) |
N/A | 0.104 | 0.095 | 0.398 | 0.000 | 0.356 | 0.000 | 4.756 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 86 | 2329 | 0 | 87 | 0 | 179 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 17.92 | 0.00 | 0.67 | 0.00 | 1.38 | -0.01 |
| time (sec) |
N/A | 0.081 | 0.086 | 0.410 | 0.000 | 0.353 | 0.000 | 3.664 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 58 | 1744 | 120 | 56 | 0 | 85 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 24.56 | 1.69 | 0.79 | 0.00 | 1.20 | -0.01 |
| time (sec) |
N/A | 0.069 | 0.034 | 0.148 | 0.295 | 0.368 | 0.000 | 5.491 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 87 | 2296 | 0 | 83 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.65 | 17.26 | 0.00 | 0.62 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.116 | 0.078 | 0.406 | 0.000 | 0.410 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 94 | 2341 | 0 | 92 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.67 | 16.60 | 0.00 | 0.65 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.116 | 0.080 | 0.406 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 135 | 87 | 370 | 0 | 151 | 0 | 661 | -1 |
| N.S. | 1 | 1.52 | 0.98 | 4.16 | 0.00 | 1.70 | 0.00 | 7.43 | -0.01 |
| time (sec) |
N/A | 0.095 | 0.092 | 0.264 | 0.000 | 0.364 | 0.000 | 4.716 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | A | A | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 29 | 28 | 131 | 32 | 16 | 32 | 17 | -1 |
| N.S. | 1 | 1.00 | 0.97 | 4.52 | 1.10 | 0.55 | 1.10 | 0.59 | -0.03 |
| time (sec) |
N/A | 0.035 | 0.017 | 0.048 | 0.272 | 0.365 | 5.211 | 3.925 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F(-2) | F | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 347 | 347 | 179 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.248 | 0.665 | 0.105 | 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(-2) | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 298 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.172 | 0.274 | 0.025 | 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(-2) | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 298 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.149 | 0.261 | 0.024 | 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(-2) | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 271 | 146 | 0 | 0 | 134 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.49 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.119 | 0.233 | 0.026 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 71 | 854 | 97 | 229 | 0 | 246 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 12.03 | 1.37 | 3.23 | 0.00 | 3.46 | -0.01 |
| time (sec) |
N/A | 0.103 | 0.080 | 0.431 | 0.288 | 0.358 | 0.000 | 5.008 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F(-2) | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.153 | 0.242 | 0.026 | 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(-2) | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 154 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.161 | 0.261 | 0.026 | 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(-2) | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 154 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.160 | 0.263 | 0.026 | 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 | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 248 | 6894 | 0 | 231 | 0 | 5311 | -1 |
| N.S. | 1 | 1.00 | 1.01 | 28.02 | 0.00 | 0.94 | 0.00 | 21.59 | -0.00 |
| time (sec) |
N/A | 0.164 | 0.124 | 2.980 | 0.000 | 0.569 | 0.000 | 6.325 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 248 | 5619 | 0 | 320 | 0 | 2136 | -1 |
| N.S. | 1 | 1.00 | 1.01 | 22.93 | 0.00 | 1.31 | 0.00 | 8.72 | -0.00 |
| time (sec) |
N/A | 0.158 | 0.128 | 2.758 | 0.000 | 0.634 | 0.000 | 7.257 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 165 | 78943 | 0 | 0 | 221 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.91 | 433.75 | 0.00 | 0.00 | 1.21 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.113 | 0.092 | 13.609 | 0.000 | 0.000 | 54.387 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 178 | 152337 | 0 | 0 | 231 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.98 | 837.02 | 0.00 | 0.00 | 1.27 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.106 | 0.094 | 14.166 | 0.000 | 0.000 | 52.739 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 240 | 4077 | 0 | 429 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.98 | 16.71 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.149 | 0.111 | 3.937 | 0.000 | 0.547 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 145 | 4732 | 0 | 390 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.46 | 15.17 | 0.00 | 1.25 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.135 | 0.165 | 3.382 | 0.000 | 0.485 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | C | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 167 | 90894 | 364 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.93 | 504.97 | 2.02 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.111 | 0.110 | 13.385 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 178 | 1911 | 328 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.99 | 10.62 | 1.82 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.104 | 0.101 | 29.138 | 0.371 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 482 | 482 | 456 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.455 | 0.599 | 3.983 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 490 | 490 | 564 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.467 | 0.578 | 2.937 | 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 | F | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 458 | 458 | 516 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.453 | 0.513 | 1.642 | 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 | F | F | F(-2) | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 508 | 508 | 619 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.981 | 2.475 | 2.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 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 | -0.04 |
| time (sec) |
N/A | 0.021 | 0.037 | 0.019 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 104 | 99 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.072 | 0.036 | 0.018 | 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 | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 69 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.046 | 0.014 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |