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 | A | C | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 745 | 801 | 1245 | 852 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.67 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.762 | 1.270 | 30.533 | 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(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 739 | 795 | 1239 | 840 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.68 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.625 | 1.601 | 45.227 | 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(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 785 | 845 | 1291 | 933 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.64 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.723 | 1.649 | 81.579 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | F | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 707 | 775 | 1805 | 1396 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 2.55 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.903 | 7.513 | 8.687 | 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 | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 144 | 389 | 941 | 0 | 1015 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 2.48 | 5.99 | 0.00 | 6.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 0.959 | 5.551 | 0.000 | 0.507 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 189 | 386 | 894 | 0 | 888 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 2.00 | 4.63 | 0.00 | 4.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.389 | 0.723 | 5.549 | 0.000 | 0.485 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 685 | 745 | 1871 | 3533 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 2.73 | 5.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.818 | 6.060 | 2.870 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F(-2) | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 1124 | 1188 | 1819 | 1822 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.62 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.251 | 6.074 | 66.801 | 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(-2) | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 1124 | 1188 | 1827 | 1288 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.63 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.433 | 6.067 | 33.262 | 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(-2) | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 1114 | 1178 | 1812 | 1812 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.63 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.274 | 6.045 | 94.037 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 403 | 369 | 342 | 0 | 0 | 1701 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.85 | 0.00 | 0.00 | 4.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.498 | 1.615 | 0.000 | 0.000 | 2.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 294 | 269 | 263 | 0 | 0 | 1383 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.89 | 0.00 | 0.00 | 4.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 1.699 | 0.000 | 0.000 | 1.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 195 | 179 | 213 | 0 | 0 | 1100 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.09 | 0.00 | 0.00 | 5.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 1.589 | 0.000 | 0.000 | 0.523 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 23 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.282 | 7.660 | 0.429 | 0.000 | 0.273 | 10.312 | 0.366 | 1.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 23 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.285 | 4.875 | 0.738 | 0.000 | 0.269 | 14.239 | 0.354 | 1.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 27 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.17 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.272 | 12.605 | 0.387 | 0.000 | 0.264 | 116.687 | 0.331 | 1.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 20 | 19 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.00 | 0.95 | 1.00 | 1.20 |
time (sec) |
N/A | 0.215 | 16.513 | 0.414 | 0.000 | 0.256 | 47.320 | 0.355 | 1.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 23 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.261 | 1.554 | 0.344 | 0.000 | 0.265 | 7.258 | 0.360 | 1.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 328 | 301 | 247 | 0 | 0 | 194 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.75 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.653 | 8.120 | 0.000 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 453 | 412 | 325 | 0 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.72 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.850 | 10.831 | 0.000 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 374 | 341 | 305 | 0 | 0 | 1701 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.82 | 0.00 | 0.00 | 4.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.675 | 1.579 | 0.000 | 0.000 | 2.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 262 | 242 | 247 | 0 | 0 | 1377 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.94 | 0.00 | 0.00 | 5.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.469 | 1.625 | 0.000 | 0.000 | 1.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 40 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.293 | 7.849 | 2.136 | 0.000 | 0.279 | 71.460 | 0.493 | 1.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.301 | 6.268 | 2.031 | 0.000 | 0.268 | 61.958 | 0.376 | 1.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 43 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.87 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.286 | 12.552 | 1.086 | 0.000 | 0.257 | 0.000 | 0.361 | 1.403 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 37 | 0 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.85 | 0.00 | 1.00 | 1.20 |
time (sec) |
N/A | 0.219 | 17.073 | 1.093 | 0.000 | 0.272 | 0.000 | 0.358 | 1.195 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.283 | 32.885 | 2.246 | 0.000 | 0.265 | 99.479 | 0.405 | 1.540 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 40 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.74 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.285 | 8.273 | 0.376 | 0.000 | 0.262 | 67.227 | 0.362 | 1.400 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 416 | 381 | 303 | 0 | 0 | 288 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.73 | 0.00 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.799 | 10.892 | 0.000 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 554 | 504 | 383 | 0 | 0 | 395 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.69 | 0.00 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.014 | 11.820 | 0.000 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 321 | 296 | 281 | 0 | 0 | 1385 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.88 | 0.00 | 0.00 | 4.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.333 | 2.005 | 0.000 | 0.000 | 1.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 225 | 207 | 242 | 0 | 0 | 1111 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.08 | 0.00 | 0.00 | 4.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.509 | 1.364 | 0.000 | 0.000 | 0.550 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 132 | 128 | 108 | 0 | 0 | 869 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.82 | 0.00 | 0.00 | 6.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.348 | 0.364 | 0.000 | 0.000 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 31 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.35 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.267 | 1.144 | 0.427 | 0.000 | 0.253 | 7.816 | 0.349 | 1.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 33 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.43 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.282 | 4.734 | 0.817 | 0.000 | 0.292 | 27.725 | 0.361 | 1.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 27 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.17 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.264 | 32.378 | 0.452 | 0.000 | 0.261 | 54.463 | 0.350 | 1.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 20 | 19 | 20 | 24 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.00 | 0.95 | 1.00 | 1.20 |
time (sec) |
N/A | 0.217 | 0.630 | 0.473 | 0.000 | 0.284 | 15.389 | 0.356 | 1.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 246 | 231 | 143 | 0 | 0 | 107 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.58 | 0.00 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.512 | 1.849 | 0.000 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 362 | 332 | 249 | 0 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.69 | 0.00 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.714 | 6.517 | 0.000 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1006 | 839 | 329 | 0 | 0 | 291 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.33 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.989 | 8.637 | 0.000 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 252 | 234 | 265 | 0 | 0 | 1483 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.05 | 0.00 | 0.00 | 5.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.337 | 1.480 | 0.000 | 0.000 | 0.503 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 152 | 161 | 0 | 0 | 1070 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.03 | 0.00 | 0.00 | 6.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 1.030 | 0.000 | 0.000 | 0.414 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 79 | 0 | 0 | 283 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 3.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 0.239 | 0.000 | 0.000 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 42 | 20 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.83 | 0.87 | 1.00 | 1.17 |
time (sec) |
N/A | 0.287 | 8.180 | 1.748 | 0.000 | 0.278 | 82.808 | 0.363 | 1.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 44 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.91 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.306 | 10.616 | 2.420 | 0.000 | 0.268 | 0.000 | 0.360 | 1.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 47 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.04 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.288 | 14.410 | 1.352 | 0.000 | 0.260 | 144.523 | 0.394 | 1.502 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 47 | 22 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.04 | 0.96 | 1.00 | 1.17 |
time (sec) |
N/A | 0.285 | 5.264 | 1.476 | 0.000 | 0.261 | 35.071 | 0.428 | 1.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 113 | 0 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.301 | 1.705 | 0.000 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 274 | 258 | 212 | 0 | 0 | 190 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.77 | 0.00 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 4.817 | 0.000 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 701 | 591 | 277 | 0 | 0 | 331 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.40 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.669 | 6.453 | 0.000 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 244 | 219 | 242 | 0 | 0 | 2123 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.99 | 0.00 | 0.00 | 8.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.374 | 1.300 | 0.000 | 0.000 | 0.486 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 148 | 137 | 0 | 0 | 664 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.84 | 0.00 | 0.00 | 4.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 0.464 | 0.000 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 138 | 126 | 132 | 0 | 0 | 571 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.96 | 0.00 | 0.00 | 4.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 0.446 | 0.000 | 0.000 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 53 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.30 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.300 | 14.073 | 1.816 | 0.000 | 0.267 | 0.000 | 0.379 | 1.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 55 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.39 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.318 | 15.460 | 2.326 | 0.000 | 0.264 | 0.000 | 0.382 | 1.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.52 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.300 | 14.359 | 1.362 | 0.000 | 0.271 | 0.000 | 0.390 | 1.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 0 | 58 | 0 | 23 | 27 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 2.52 | 0.00 | 1.00 | 1.17 |
time (sec) |
N/A | 0.293 | 13.525 | 1.423 | 0.000 | 0.271 | 0.000 | 0.436 | 1.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 276 | 251 | 186 | 0 | 0 | 286 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.67 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.310 | 0.000 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 296 | 271 | 248 | 0 | 0 | 348 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.84 | 0.00 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.535 | 4.127 | 0.000 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 631 | 540 | 323 | 0 | 0 | 536 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.51 | 0.00 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.673 | 7.593 | 0.000 | 0.000 | 0.145 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 589 | 542 | 400 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.147 | 3.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 374 | 345 | 291 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.661 | 0.473 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 178 | 203 | 169 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.328 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 25 | 25 | 20 | 25 | 29 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.09 | 0.87 | 1.09 | 1.26 |
time (sec) |
N/A | 0.253 | 2.293 | 2.823 | 0.548 | 0.271 | 39.070 | 0.323 | 0.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 25 | 36 | 0 | 25 | 29 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.57 | 0.00 | 1.09 | 1.26 |
time (sec) |
N/A | 0.260 | 4.060 | 2.532 | 0.562 | 0.285 | 0.000 | 0.330 | 0.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 42 | 0 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.68 | 0.00 | 1.00 | 1.16 |
time (sec) |
N/A | 0.286 | 0.957 | 2.255 | 0.519 | 0.273 | 0.000 | 0.354 | 0.949 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 25 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.00 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.280 | 0.123 | 0.895 | 0.384 | 0.277 | 52.552 | 0.350 | 0.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 25 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.00 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.279 | 0.921 | 1.103 | 0.407 | 0.281 | 22.423 | 0.352 | 0.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 23 | 25 | 45 | 24 | 25 | 29 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.80 | 0.96 | 1.00 | 1.16 |
time (sec) |
N/A | 0.301 | 1.101 | 2.091 | 0.412 | 0.274 | 140.345 | 0.353 | 0.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 401 | 227 | 194 | 0 | 0 | 238 | 0 | 0 | 0 |
N.S. |
1 | 0.57 | 0.48 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.617 | 0.239 | 0.000 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 156 | 159 | 0 | 0 | 181 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.59 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.226 | 0.279 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 101 | 118 | 0 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 0.94 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.222 | 0.000 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 24 | 87 | 37 | 34 | 26 | 30 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 3.35 | 1.42 | 1.31 | 1.00 | 1.15 |
time (sec) |
N/A | 0.277 | 0.637 | 0.273 | 0.483 | 0.264 | 11.186 | 0.376 | 1.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 24 | 111 | 39 | 36 | 26 | 30 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 4.27 | 1.50 | 1.38 | 1.00 | 1.15 |
time (sec) |
N/A | 0.294 | 8.065 | 3.075 | 0.493 | 0.259 | 82.450 | 0.354 | 1.446 |