Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 213 | 372 | 746 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.75 | 3.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.942 | 15.819 | 10.244 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 420 | 1290 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.44 | 4.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.079 | 3.020 | 12.902 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 480 | 2213 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.27 | 5.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.474 | 5.125 | 18.684 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 291 | 1635 | 0 | 639 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 4.33 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.788 | 1.827 | 17.544 | 0.000 | 0.168 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 233 | 1305 | 0 | 562 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 4.39 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.634 | 3.092 | 15.979 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 225 | 225 | 203 | 993 | 0 | 493 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.90 | 4.41 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.396 | 0.931 | 13.116 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 236 | 236 | 406 | 701 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 2.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.773 | 2.198 | 10.703 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 232 | 398 | 991 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 4.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.797 | 1.919 | 12.200 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 422 | 1403 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 4.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.210 | 3.596 | 14.721 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 375 | 375 | 483 | 2327 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.29 | 6.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.906 | 5.117 | 18.458 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 462 | 462 | 357 | 1983 | 0 | 726 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 4.29 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.043 | 2.632 | 27.776 | 0.000 | 0.183 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 372 | 291 | 1635 | 0 | 639 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 4.40 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.809 | 3.977 | 19.431 | 0.000 | 0.164 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 288 | 254 | 1305 | 0 | 562 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.88 | 4.53 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.524 | 1.776 | 15.981 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 453 | 1067 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.55 | 3.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.099 | 2.530 | 14.267 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 296 | 442 | 1490 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.49 | 5.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.271 | 3.776 | 22.722 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 315 | 451 | 1742 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 5.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.185 | 4.163 | 64.484 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 376 | 376 | 486 | 2438 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.29 | 6.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.561 | 4.124 | 174.976 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 465 | 465 | 549 | 3548 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.18 | 7.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.987 | 5.831 | 458.616 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 320 | 320 | 230 | 1305 | 0 | 562 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.72 | 4.08 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.703 | 1.237 | 13.143 | 0.000 | 0.178 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 180 | 993 | 0 | 493 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.73 | 4.04 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.464 | 1.042 | 11.777 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.405 | 1.308 | 10.131 | 0.000 | 0.116 | 0.000 | 0.000 | 0.898 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | 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 | 0.200 | 2.993 | 6.027 | 0.000 | 0.110 | 0.000 | 0.000 | 1.015 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 118 | 118 | 81 | 194 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.455 | 0.390 | 5.776 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 320 | 639 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.48 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.740 | 13.549 | 8.256 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 299 | 420 | 1182 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.40 | 3.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.098 | 4.190 | 10.812 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 387 | 304 | 1312 | 0 | 910 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 3.39 | 0.00 | 2.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.778 | 1.796 | 14.767 | 0.000 | 0.206 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 262 | 262 | 189 | 1275 | 0 | 789 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.72 | 4.87 | 0.00 | 3.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.561 | 1.472 | 14.819 | 0.000 | 0.174 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 170 | 519 | 0 | 683 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.83 | 2.54 | 0.00 | 3.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.370 | 0.905 | 12.082 | 0.000 | 0.149 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 151 | 432 | 0 | 610 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.82 | 2.34 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.338 | 0.497 | 8.425 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 190 | 460 | 433 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.42 | 2.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.817 | 2.778 | 9.937 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 482 | 912 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.126 | 4.038 | 14.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 398 | 398 | 546 | 1568 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.37 | 3.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.578 | 5.720 | 19.364 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 550 | 550 | 372 | 1750 | 0 | 1538 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 3.18 | 0.00 | 2.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.624 | 3.189 | 30.716 | 0.000 | 0.347 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 413 | 334 | 1412 | 0 | 1348 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.81 | 3.42 | 0.00 | 3.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.948 | 2.483 | 27.650 | 0.000 | 0.228 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 331 | 331 | 274 | 954 | 0 | 1193 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.83 | 2.88 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.615 | 2.009 | 24.432 | 0.000 | 0.211 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 307 | 224 | 864 | 0 | 1076 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.73 | 2.81 | 0.00 | 3.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.602 | 1.690 | 21.465 | 0.000 | 0.158 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 275 | 193 | 754 | 0 | 956 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 2.74 | 0.00 | 3.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.412 | 1.162 | 19.202 | 0.000 | 0.158 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 349 | 349 | 553 | 858 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.58 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.254 | 4.917 | 19.819 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 437 | 437 | 750 | 1345 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 3.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.726 | 6.882 | 29.578 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 532 | 532 | 820 | 2004 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.54 | 3.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.132 | 7.191 | 40.589 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 58 | 79 | 0 | 148 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.36 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.048 | 0.039 | 6.006 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 59 | 59 | 59 | 167 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 0.033 | 7.436 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 84 | 218 | 0 | 491 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 2.02 | 0.00 | 4.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.086 | 0.147 | 13.902 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 403 | 377 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.25 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.476 | 3.415 | 16.666 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | 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 | 0.225 | 1.724 | 17.602 | 0.000 | 0.118 | 0.000 | 0.000 | 1.509 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.196 | 1.320 | 11.266 | 0.000 | 0.112 | 0.000 | 0.000 | 1.271 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.188 | 0.994 | 9.451 | 0.000 | 0.106 | 0.000 | 0.000 | 1.135 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.164 | 0.669 | 7.774 | 0.000 | 0.100 | 0.000 | 0.000 | 1.123 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.173 | 0.441 | 7.123 | 0.000 | 0.105 | 0.000 | 0.000 | 1.627 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.203 | 0.545 | 9.123 | 0.000 | 0.104 | 0.000 | 0.000 | 2.383 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.222 | 0.746 | 12.938 | 0.000 | 0.108 | 0.000 | 0.000 | 2.674 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.429 | 2.332 | 42.909 | 0.000 | 0.133 | 0.000 | 0.000 | 1.700 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.374 | 2.048 | 14.207 | 0.000 | 0.133 | 0.000 | 0.000 | 1.516 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.327 | 1.860 | 12.631 | 0.000 | 0.110 | 0.000 | 0.000 | 1.488 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.293 | 1.171 | 9.590 | 0.000 | 0.106 | 0.000 | 0.000 | 1.674 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.267 | 1.008 | 9.836 | 0.000 | 0.104 | 0.000 | 0.000 | 1.849 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 105 | 574 | 0 | 255 | 0 | 0 | 194 |
| N.S. |
1 | 1.00 | 0.83 | 4.56 | 0.00 | 2.02 | 0.00 | 0.00 | 1.54 |
| time (sec) |
N/A | 0.327 | 1.309 | 10.721 | 0.000 | 0.113 | 0.000 | 0.000 | 2.598 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.402 | 1.352 | 13.069 | 0.000 | 0.115 | 0.000 | 0.000 | 2.889 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 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 | 0.783 | 2.541 | 18.436 | 0.000 | 0.144 | 0.000 | 0.000 | 2.084 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.673 | 1.967 | 16.220 | 0.000 | 0.131 | 0.000 | 0.000 | 1.885 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.505 | 2.379 | 13.337 | 0.000 | 0.122 | 0.000 | 0.000 | 1.587 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 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 | 0.500 | 2.131 | 11.409 | 0.000 | 0.128 | 0.000 | 0.000 | 1.640 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 192 | 165 | 771 | 0 | 306 | 0 | 0 | 255 |
| N.S. |
1 | 1.00 | 0.86 | 4.02 | 0.00 | 1.59 | 0.00 | 0.00 | 1.33 |
| time (sec) |
N/A | 0.467 | 2.129 | 12.889 | 0.000 | 0.129 | 0.000 | 0.000 | 2.655 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 176 | 950 | 0 | 326 | 0 | 0 | 291 |
| N.S. |
1 | 1.00 | 0.86 | 4.66 | 0.00 | 1.60 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 0.466 | 3.020 | 14.865 | 0.000 | 0.138 | 0.000 | 0.000 | 4.239 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 260 | 1074 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 5.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.830 | 1.718 | 7.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 207 | 822 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.51 | 6.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.577 | 1.100 | 5.879 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 128 | 295 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.44 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.240 | 0.735 | 4.993 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 58 | 217 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.95 | 3.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.158 | 0.351 | 3.301 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 206 | 300 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.40 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.334 | 1.678 | 4.599 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 150 | 260 | 441 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.73 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.830 | 1.570 | 6.415 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 318 | 1066 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 3.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.015 | 2.375 | 19.240 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 224 | 224 | 280 | 849 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.25 | 3.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.890 | 1.954 | 7.792 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 198 | 198 | 260 | 808 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.31 | 4.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.612 | 1.828 | 6.708 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 274 | 721 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.37 | 3.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.641 | 1.924 | 6.464 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 256 | 256 | 316 | 856 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.23 | 3.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.968 | 2.904 | 7.465 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 363 | 1004 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.408 | 4.619 | 11.490 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 367 | 390 | 1977 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.06 | 5.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.135 | 3.427 | 83.352 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 344 | 360 | 1937 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 5.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.076 | 2.540 | 11.477 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 337 | 337 | 365 | 1850 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.08 | 5.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.992 | 3.119 | 11.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 383 | 1744 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 5.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.141 | 3.341 | 10.655 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 420 | 420 | 458 | 1975 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 4.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.047 | 3.813 | 12.740 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 523 | 523 | 570 | 2131 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 4.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.120 | 7.133 | 20.434 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 41 | 203 | 0 | 77 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.93 | 4.61 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.025 | 0.031 | 4.679 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 37 | 180 | 0 | 71 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 4.09 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.026 | 0.025 | 3.364 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 17 | 17 | 134 | 0 | 59 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 7.88 | 0.00 | 3.47 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.012 | 0.012 | 2.359 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 17 | 17 | 19 | 0 | 53 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.00 | 3.12 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.012 | 0.013 | 0.491 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 40 | 40 | 40 | 183 | 0 | 96 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 4.58 | 0.00 | 2.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.022 | 0.036 | 2.083 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 37 | 214 | 0 | 95 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 4.86 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.031 | 0.043 | 2.045 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 116 | 159 | 553 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.37 | 4.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.469 | 0.955 | 6.426 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 82 | 228 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 2.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.196 | 0.055 | 3.870 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 55 | 49 | 189 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.89 | 3.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.118 | 0.018 | 3.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 30 | 30 | 30 | 151 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 5.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.055 | 0.025 | 1.999 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 196 | 355 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.45 | 4.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.286 | 1.770 | 4.023 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 211 | 425 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.694 | 2.606 | 6.313 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 560 | 560 | 1224 | 3997 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.19 | 7.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.173 | 6.556 | 16.716 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 473 | 473 | 1175 | 2772 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.48 | 5.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.194 | 19.790 | 9.717 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 385 | 385 | 408 | 1268 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.06 | 3.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.843 | 7.635 | 11.872 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 351 | 351 | 273 | 953 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 2.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.572 | 8.402 | 14.281 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 284 | 407 | 1955 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 6.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.674 | 10.990 | 18.363 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 350 | 1315 | 3286 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.76 | 9.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.171 | 6.553 | 22.892 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |