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 | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1 | 0 | 7130 | 1903 | 0 | 0 | 0 | 0 | 31 | 0 |
| N.S. |
1 | 0.00 | 7130.00 | 1903.00 | 0.00 | 0.00 | 0.00 | 0.00 | 31.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 27.713 | 6.734 | 0.000 | 0.000 | 0.000 | 0.000 | 200.033 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1474 | 0 | 13559 | 2659 | 0 | 0 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 0.00 | 9.20 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 |
| time (sec) |
N/A | 0.000 | 28.346 | 7.411 | 0.000 | 0.000 | 0.000 | 0.000 | 200.027 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1585 | 0 | 19147 | 3091 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 12.08 | 1.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 |
| time (sec) |
N/A | 0.000 | 36.276 | 9.785 | 0.000 | 0.000 | 0.000 | 0.000 | 200.032 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1396 | 0 | 6336 | 3212 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 4.54 | 2.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 36.113 | 13.263 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1265 | 0 | 29355 | 7328 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 23.21 | 5.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 38.678 | 17.791 | 0.000 | 0.000 | 0.000 | 0.000 | 200.038 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1780 | 0 | 107718 | 4998 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 60.52 | 2.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 |
| time (sec) |
N/A | 0.000 | 52.980 | 33.690 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F | F(-1) |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 995 | 1052 | 23948 | 1643 | 0 | 2367 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.06 | 24.07 | 1.65 | 0.00 | 2.38 | 0.00 | 0.00 | 0.04 | 0.00 |
| time (sec) |
N/A | 6.941 | 38.384 | 11.271 | 0.000 | 0.174 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | B | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 646 | 706 | 11109 | 1192 | 0 | 1317 | 0 | 0 | 37 | 0 |
| N.S. |
1 | 1.09 | 17.20 | 1.85 | 0.00 | 2.04 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 3.287 | 36.508 | 10.046 | 0.000 | 0.160 | 0.000 | 0.000 | 200.025 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 486 | 522 | 772 | 965 | 0 | 708 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 1.07 | 1.59 | 1.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.07 | 0.00 |
| time (sec) |
N/A | 1.363 | 4.487 | 5.760 | 0.000 | 0.108 | 0.000 | 0.000 | 200.069 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 748 | 1065 | 980 | 1353 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.42 | 1.31 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 4.271 | 35.401 | 7.762 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | A | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1097 | 0 | 48666 | 1780 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 44.36 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 |
| time (sec) |
N/A | 0.000 | 44.267 | 96.130 | 0.000 | 0.000 | 0.000 | 0.000 | 200.048 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | B | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 266 | 187 | 161 | 0 | 903 | 0 | 471 | 235 | 0 |
| N.S. |
1 | 1.45 | 1.02 | 0.88 | 0.00 | 4.91 | 0.00 | 2.56 | 1.28 | 0.00 |
| time (sec) |
N/A | 0.887 | 1.171 | 0.536 | 0.000 | 8.928 | 0.000 | 0.160 | 0.198 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 362 | 475 | 321 | 425 | 0 | 0 | 0 | 0 | 30 | 0 |
| N.S. |
1 | 1.31 | 0.89 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 1.460 | 2.784 | 0.729 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 329 | 231 | 305 | 0 | 0 | 0 | 0 | 8291 | 0 |
| N.S. |
1 | 1.32 | 0.93 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 33.30 | 0.00 |
| time (sec) |
N/A | 1.115 | 1.540 | 0.631 | 0.000 | 0.000 | 0.000 | 0.000 | 1.285 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 206 | 161 | 245 | 0 | 0 | 0 | 0 | 7805 | 0 |
| N.S. |
1 | 1.20 | 0.94 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | 45.64 | 0.00 |
| time (sec) |
N/A | 0.838 | 1.426 | 0.539 | 0.000 | 0.000 | 0.000 | 0.000 | 0.328 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 132 | 132 | 142 | 199 | 0 | 1079 | 0 | 0 | 7325 | 0 |
| N.S. |
1 | 1.00 | 1.08 | 1.51 | 0.00 | 8.17 | 0.00 | 0.00 | 55.49 | 0.00 |
| time (sec) |
N/A | 0.477 | 0.791 | 0.464 | 0.000 | 29.260 | 0.000 | 0.000 | 0.292 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | B | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 142 | 206 | 0 | 1090 | 0 | 0 | 336 | 0 |
| N.S. |
1 | 1.00 | 1.07 | 1.55 | 0.00 | 8.20 | 0.00 | 0.00 | 2.53 | 0.00 |
| time (sec) |
N/A | 0.767 | 0.753 | 0.534 | 0.000 | 1.838 | 0.000 | 0.000 | 0.374 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | B | F | A | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 213 | 213 | 252 | 0 | 1504 | 0 | 208 | 535 | 0 |
| N.S. |
1 | 1.20 | 1.20 | 1.42 | 0.00 | 8.50 | 0.00 | 1.18 | 3.02 | 0.00 |
| time (sec) |
N/A | 0.925 | 1.500 | 0.626 | 0.000 | 8.253 | 0.000 | 0.142 | 0.184 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | B | F | B | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 339 | 265 | 313 | 0 | 2096 | 0 | 536 | 816 | 0 |
| N.S. |
1 | 1.37 | 1.07 | 1.26 | 0.00 | 8.45 | 0.00 | 2.16 | 3.29 | 0.00 |
| time (sec) |
N/A | 1.149 | 1.981 | 0.729 | 0.000 | 38.604 | 0.000 | 0.147 | 0.468 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 775 | 817 | 19047 | 1172 | 0 | 757 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 1.05 | 24.58 | 1.51 | 0.00 | 0.98 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 3.973 | 36.968 | 9.945 | 0.000 | 0.102 | 0.000 | 0.000 | 200.016 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 573 | 606 | 12291 | 950 | 0 | 570 | 0 | 0 | 33 | 0 |
| N.S. |
1 | 1.06 | 21.45 | 1.66 | 0.00 | 0.99 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 2.283 | 35.756 | 7.944 | 0.000 | 0.096 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 450 | 476 | 1080 | 823 | 0 | 451 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 1.06 | 2.40 | 1.83 | 0.00 | 1.00 | 0.00 | 0.00 | 0.07 | 0.00 |
| time (sec) |
N/A | 1.241 | 6.246 | 6.786 | 0.000 | 0.085 | 0.000 | 0.000 | 200.035 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 596 | 781 | 1189 | 1064 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 1.31 | 1.99 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 2.496 | 30.385 | 6.530 | 0.000 | 0.000 | 0.000 | 0.000 | 200.030 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 650 | 1410 | 1405 | 1122 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 2.17 | 2.16 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 4.654 | 35.120 | 9.997 | 0.000 | 0.000 | 0.000 | 0.000 | 200.035 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 769 | 2689 | 10711 | 1205 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 3.50 | 13.93 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 10.057 | 35.943 | 14.411 | 0.000 | 0.000 | 0.000 | 0.000 | 200.030 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 445 | 286 | 628 | 0 | 0 | 0 | 0 | 30 | 0 |
| N.S. |
1 | 1.15 | 0.74 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 1.411 | 23.615 | 3.905 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 60 | 60 | 54 | 48 | 47 | 60 | 63 | 60 | 92 | 61 |
| N.S. |
1 | 1.00 | 0.90 | 0.80 | 0.78 | 1.00 | 1.05 | 1.00 | 1.53 | 1.02 |
| time (sec) |
N/A | 0.434 | 0.065 | 0.418 | 0.106 | 0.076 | 0.113 | 0.128 | 0.189 | 0.139 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | B | A | B | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 492 | 483 | 411 | 666 | 0 | 520 | 1325 | 359 |
| N.S. |
1 | 1.00 | 2.01 | 1.97 | 1.68 | 2.72 | 0.00 | 2.12 | 5.41 | 1.47 |
| time (sec) |
N/A | 1.171 | 0.629 | 0.342 | 0.040 | 142.749 | 0.000 | 0.128 | 0.200 | 27.009 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | B | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 162 | 162 | 159 | 286 | 257 | 410 | 0 | 298 | 815 | 220 |
| N.S. |
1 | 1.00 | 0.98 | 1.77 | 1.59 | 2.53 | 0.00 | 1.84 | 5.03 | 1.36 |
| time (sec) |
N/A | 0.821 | 0.222 | 0.262 | 0.037 | 44.883 | 0.000 | 0.130 | 0.190 | 22.704 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 122 | 122 | 156 | 153 | 225 | 0 | 163 | 431 | 137 |
| N.S. |
1 | 1.00 | 1.00 | 1.28 | 1.25 | 1.84 | 0.00 | 1.34 | 3.53 | 1.12 |
| time (sec) |
N/A | 0.638 | 0.130 | 0.208 | 0.034 | 7.058 | 0.000 | 0.149 | 0.191 | 20.425 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 93 | 91 | 90 | 111 | 0 | 93 | 184 | 87 |
| N.S. |
1 | 1.00 | 1.02 | 1.00 | 0.99 | 1.22 | 0.00 | 1.02 | 2.02 | 0.96 |
| time (sec) |
N/A | 0.509 | 0.072 | 0.160 | 0.036 | 0.313 | 0.000 | 0.131 | 0.186 | 19.056 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 161 | 165 | 164 | 202 | 0 | 0 | 219 | 851 | 213 |
| N.S. |
1 | 1.00 | 1.02 | 1.02 | 1.25 | 0.00 | 0.00 | 1.36 | 5.29 | 1.32 |
| time (sec) |
N/A | 0.837 | 0.226 | 0.333 | 0.037 | 0.000 | 0.000 | 0.130 | 0.181 | 25.856 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | F(-1) | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 514 | 310 | 535 | 0 | 0 | 9098 | 5126 | 436 |
| N.S. |
1 | 1.00 | 1.76 | 1.06 | 1.83 | 0.00 | 0.00 | 31.16 | 17.55 | 1.49 |
| time (sec) |
N/A | 1.434 | 0.584 | 0.683 | 0.068 | 0.000 | 0.000 | 0.345 | 0.204 | 52.741 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | B | F(-1) | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 581 | 581 | 899 | 687 | 1353 | 0 | 0 | 1885 | 15095 | 131190 |
| N.S. |
1 | 1.00 | 1.55 | 1.18 | 2.33 | 0.00 | 0.00 | 3.24 | 25.98 | 225.80 |
| time (sec) |
N/A | 2.986 | 1.116 | 1.751 | 0.131 | 0.000 | 0.000 | 0.272 | 0.201 | 55.718 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | A | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 599 | 550 | 300 | 327 | 0 | 0 | 450 | 665 | 3422 | 0 |
| N.S. |
1 | 0.92 | 0.50 | 0.55 | 0.00 | 0.00 | 0.75 | 1.11 | 5.71 | 0.00 |
| time (sec) |
N/A | 1.655 | 1.890 | 1.576 | 0.000 | 0.000 | 145.492 | 0.179 | 0.206 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | A | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 418 | 238 | 278 | 0 | 0 | 326 | 399 | 2036 | 0 |
| N.S. |
1 | 1.01 | 0.57 | 0.67 | 0.00 | 0.00 | 0.79 | 0.96 | 4.92 | 0.00 |
| time (sec) |
N/A | 1.304 | 1.214 | 0.724 | 0.000 | 0.000 | 99.775 | 0.160 | 0.200 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 282 | 292 | 216 | 232 | 0 | 0 | 272 | 239 | 951 | 179516 |
| N.S. |
1 | 1.04 | 0.77 | 0.82 | 0.00 | 0.00 | 0.96 | 0.85 | 3.37 | 636.58 |
| time (sec) |
N/A | 0.959 | 0.977 | 0.559 | 0.000 | 0.000 | 88.564 | 0.163 | 0.213 | 34.112 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 188 | 188 | 156 | 0 | 0 | 236 | 164 | 3015 | 34205 |
| N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.00 | 1.26 | 0.87 | 16.04 | 181.94 |
| time (sec) |
N/A | 0.850 | 0.740 | 0.424 | 0.000 | 0.000 | 114.721 | 0.161 | 0.193 | 70.656 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | A | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 311 | 245 | 227 | 0 | 0 | 294 | 281 | 7571 | 0 |
| N.S. |
1 | 1.29 | 1.01 | 0.94 | 0.00 | 0.00 | 1.21 | 1.16 | 31.29 | 0.00 |
| time (sec) |
N/A | 1.096 | 2.611 | 0.952 | 0.000 | 0.000 | 80.934 | 0.198 | 0.217 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | B | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 376 | 441 | 426 | 338 | 0 | 0 | 471 | 789 | 26571 | 0 |
| N.S. |
1 | 1.17 | 1.13 | 0.90 | 0.00 | 0.00 | 1.25 | 2.10 | 70.67 | 0.00 |
| time (sec) |
N/A | 1.362 | 7.929 | 3.424 | 0.000 | 0.000 | 61.065 | 0.302 | 0.270 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | A | B | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 667 | 571 | 755 | 563 | 0 | 0 | 910 | 2365 | 62380 | 0 |
| N.S. |
1 | 0.86 | 1.13 | 0.84 | 0.00 | 0.00 | 1.36 | 3.55 | 93.52 | 0.00 |
| time (sec) |
N/A | 1.641 | 17.529 | 211.903 | 0.000 | 0.000 | 96.529 | 0.870 | 0.394 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | B | F | C | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 87 | 86 | 224 | 0 | 143 | 0 | 240 | 42 | 1482 |
| N.S. |
1 | 1.00 | 0.99 | 2.57 | 0.00 | 1.64 | 0.00 | 2.76 | 0.48 | 17.03 |
| time (sec) |
N/A | 0.638 | 0.328 | 0.391 | 0.000 | 0.099 | 0.000 | 0.263 | 0.208 | 21.558 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F(-1) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 504 | 599 | 945 | 164167 | 0 | 0 | 0 | 0 | 60 | 0 |
| N.S. |
1 | 1.19 | 1.88 | 325.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 3.470 | 13.469 | 2.490 | 0.000 | 0.000 | 0.000 | 0.000 | 0.184 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 504 | 600 | 455 | 768 | 0 | 0 | 0 | 0 | 13191 | 0 |
| N.S. |
1 | 1.19 | 0.90 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | 26.17 | 0.00 |
| time (sec) |
N/A | 1.798 | 5.428 | 1.146 | 0.000 | 0.000 | 0.000 | 0.000 | 1.343 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 377 | 276 | 392 | 0 | 0 | 0 | 0 | 8335 | 0 |
| N.S. |
1 | 1.27 | 0.93 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 28.16 | 0.00 |
| time (sec) |
N/A | 1.205 | 2.194 | 0.794 | 0.000 | 0.000 | 0.000 | 0.000 | 0.601 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 188 | 187 | 252 | 0 | 0 | 0 | 0 | 3976 | 0 |
| N.S. |
1 | 1.05 | 1.04 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 22.21 | 0.00 |
| time (sec) |
N/A | 0.766 | 0.943 | 0.587 | 0.000 | 0.000 | 0.000 | 0.000 | 0.347 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F(-2) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 263 | 263 | 287 | 401 | 0 | 0 | 0 | 0 | 265 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | 1.01 | 0.00 |
| time (sec) |
N/A | 1.066 | 1.170 | 0.711 | 0.000 | 0.000 | 0.000 | 0.000 | 5.172 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F(-1) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 411 | 392 | 672 | 0 | 0 | 0 | 0 | 1758 | 0 |
| N.S. |
1 | 1.12 | 1.07 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 4.79 | 0.00 |
| time (sec) |
N/A | 1.415 | 11.574 | 0.822 | 0.000 | 0.000 | 0.000 | 0.000 | 0.281 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 434 | 604 | 521 | 674 | 0 | 0 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 1.39 | 1.20 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 2.378 | 25.782 | 15.943 | 0.000 | 0.000 | 0.000 | 0.000 | 200.028 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 418 | 0 | 356 | 517 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 0.85 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 0.000 | 23.447 | 1.296 | 0.000 | 0.000 | 0.000 | 0.000 | 200.028 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 0 | 346 | 507 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 0.90 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 |
| time (sec) |
N/A | 0.000 | 23.596 | 0.865 | 0.000 | 0.000 | 0.000 | 0.000 | 200.032 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 599 | 439 | 497 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.69 | 1.24 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 |
| time (sec) |
N/A | 1.915 | 23.312 | 0.722 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 322 | 358 | 342 | 358 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.11 | 1.06 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 1.243 | 24.157 | 0.417 | 0.000 | 0.000 | 0.000 | 0.000 | 200.028 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 0 | 421 | 497 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.19 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 |
| time (sec) |
N/A | 0.000 | 24.211 | 0.577 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 0 | 361 | 530 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 0.94 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 |
| time (sec) |
N/A | 0.000 | 24.135 | 0.757 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 418 | 0 | 373 | 563 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 0.89 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 0.000 | 24.127 | 1.005 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1068 | 1109 | 37177 | 1316 | 0 | 1121 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.04 | 34.81 | 1.23 | 0.00 | 1.05 | 0.00 | 0.00 | 0.04 | 0.00 |
| time (sec) |
N/A | 5.469 | 38.923 | 18.717 | 0.000 | 0.143 | 0.000 | 0.000 | 200.023 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 650 | 683 | 18202 | 979 | 0 | 686 | 0 | 0 | 37 | 0 |
| N.S. |
1 | 1.05 | 28.00 | 1.51 | 0.00 | 1.06 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 2.518 | 36.502 | 12.449 | 0.000 | 0.133 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 450 | 476 | 1080 | 823 | 0 | 451 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 1.06 | 2.40 | 1.83 | 0.00 | 1.00 | 0.00 | 0.00 | 0.07 | 0.00 |
| time (sec) |
N/A | 1.217 | 6.337 | 6.760 | 0.000 | 0.102 | 0.000 | 0.000 | 200.028 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 643 | 822 | 19347 | 1114 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.28 | 30.09 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 2.755 | 36.717 | 24.258 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 916 | 1534 | 32746 | 1508 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.67 | 35.75 | 1.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 |
| time (sec) |
N/A | 5.633 | 39.068 | 47.528 | 0.000 | 0.000 | 0.000 | 0.000 | 200.032 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 512 | 0 | 642 | 528 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.25 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 0.000 | 28.469 | 1.550 | 0.000 | 0.000 | 0.000 | 0.000 | 200.043 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 480 | 0 | 638 | 518 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.33 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 0.000 | 26.003 | 0.848 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | C | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 448 | 647 | 631 | 508 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.44 | 1.41 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 1.987 | 25.992 | 0.730 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | C | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 420 | 593 | 361 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 1.01 | 1.43 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 1.299 | 27.085 | 0.542 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 448 | 0 | 622 | 508 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.39 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 0.000 | 28.306 | 0.697 | 0.000 | 0.000 | 0.000 | 0.000 | 200.027 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 480 | 0 | 638 | 541 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.33 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 0.000 | 26.906 | 0.878 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | C | C | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 512 | 0 | 687 | 574 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 1.34 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 0.000 | 26.837 | 1.130 | 0.000 | 0.000 | 0.000 | 0.000 | 200.029 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1363 | 0 | 3222 | 3126 | 0 | 0 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 0.00 | 2.36 | 2.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 |
| time (sec) |
N/A | 0.000 | 35.508 | 434.050 | 0.000 | 0.000 | 0.000 | 0.000 | 200.032 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 882 | 0 | 2445 | 3097 | 0 | 0 | 0 | 0 | 30 | 0 |
| N.S. |
1 | 0.00 | 2.77 | 3.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 35.364 | 14.477 | 0.000 | 0.000 | 0.000 | 0.000 | 200.032 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 869 | 0 | 5981 | 3091 | 0 | 0 | 0 | 0 | 29 | 0 |
| N.S. |
1 | 0.00 | 6.88 | 3.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 6.403 | 14.471 | 0.000 | 0.000 | 0.000 | 0.000 | 200.030 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 897 | 0 | 3628 | 3141 | 0 | 0 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 0.00 | 4.04 | 3.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 |
| time (sec) |
N/A | 0.000 | 36.088 | 14.858 | 0.000 | 0.000 | 0.000 | 0.000 | 200.025 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1384 | 0 | 4412 | 3177 | 0 | 0 | 0 | 0 | 36 | 0 |
| N.S. |
1 | 0.00 | 3.19 | 2.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 36.359 | 15.029 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1382 | 0 | 5152 | 3170 | 0 | 0 | 0 | 0 | 38 | 0 |
| N.S. |
1 | 0.00 | 3.73 | 2.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 36.416 | 15.102 | 0.000 | 0.000 | 0.000 | 0.000 | 200.026 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | F | B | B | F | F | F | F | F | F(-1) |
| verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1396 | 0 | 6336 | 3212 | 0 | 0 | 0 | 0 | 39 | 0 |
| N.S. |
1 | 0.00 | 4.54 | 2.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 0.000 | 6.674 | 15.448 | 0.000 | 0.000 | 0.000 | 0.000 | 200.023 | 0.000 |