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 | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 20 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 0.91 | 0.14 | 1.00 |
time (sec) |
N/A | 0.238 | 0.824 | 3.739 | 0.000 | 0.000 | 0.465 | 48.230 | 0.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 0 | 14 | 0 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.78 | 0.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.168 | 0.007 | 3.865 | 0.000 | 0.246 | 0.000 | 0.277 | 0.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 19 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.79 | 0.12 | 1.00 |
time (sec) |
N/A | 0.300 | 0.333 | 3.865 | 0.000 | 0.000 | 0.961 | 24.105 | 0.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.339 | 0.776 | 4.250 | 0.000 | 0.000 | 1.136 | 29.696 | 0.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.488 | 1.911 | 3.585 | 0.000 | 0.000 | 1.410 | 28.661 | 0.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.548 | 5.333 | 4.870 | 0.000 | 0.000 | 2.096 | 28.700 | 0.463 |
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 | 24 | 24 | 26 | 22 | 0 | 39 | 32 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.62 | 1.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.207 | 1.537 | 13.775 | 0.000 | 0.277 | 29.841 | 51.841 | 0.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 32 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.209 | 3.119 | 12.627 | 0.000 | 0.000 | 1.129 | 61.126 | 0.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 66 | 60 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.335 | 6.348 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 74 | 136 | 45 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.72 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.245 | 5.679 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 68 | 57 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 0.302 | 6.529 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.214 | 0.873 | 4.711 | 0.000 | 0.000 | 1.592 | 30.438 | 0.495 |
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 | 24 | 24 | 26 | 22 | 0 | 50 | 41 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.08 | 1.71 | 0.12 | 1.00 |
time (sec) |
N/A | 0.219 | 1.577 | 9.549 | 0.000 | 0.278 | 114.913 | 52.264 | 0.538 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 41 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.71 | 0.12 | 1.00 |
time (sec) |
N/A | 0.214 | 4.145 | 12.707 | 0.000 | 0.000 | 2.196 | 69.474 | 0.465 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 116 | 181 | 102 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 1.30 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 0.463 | 6.960 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 111 | 230 | 93 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.95 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 0.563 | 6.398 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 72 | 141 | 66 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 1.70 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 0.371 | 5.651 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 111 | 230 | 94 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.95 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.493 | 6.375 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 116 | 103 | 102 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.74 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.479 | 6.403 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 37 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.54 | 0.12 | 1.00 |
time (sec) |
N/A | 0.209 | 1.254 | 4.442 | 0.000 | 0.000 | 3.256 | 34.004 | 0.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.246 | 1.437 | 12.767 | 0.000 | 0.250 | 63.431 | 0.000 | 0.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.252 | 4.656 | 14.003 | 0.000 | 0.000 | 5.902 | 77.992 | 0.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 0 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.313 | 3.668 | 9.270 | 0.000 | 0.000 | 2.875 | 0.000 | 0.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 0 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.00 | 0.91 |
time (sec) |
N/A | 0.191 | 0.230 | 12.940 | 0.000 | 0.000 | 1.477 | 0.000 | 0.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.262 | 1.447 | 16.436 | 0.000 | 0.255 | 0.000 | 0.000 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.264 | 4.684 | 16.084 | 0.000 | 0.000 | 129.201 | 73.314 | 0.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 0 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.325 | 4.845 | 13.464 | 0.000 | 0.000 | 60.579 | 0.000 | 0.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 0 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.00 | 0.91 |
time (sec) |
N/A | 0.191 | 1.848 | 13.081 | 0.000 | 0.000 | 32.726 | 0.000 | 0.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 49 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 1.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.256 | 1.747 | 22.654 | 0.000 | 0.259 | 0.000 | 0.000 | 0.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.267 | 4.068 | 14.263 | 0.000 | 0.000 | 0.000 | 73.540 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 0 | 0 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.322 | 4.351 | 14.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.190 | 0.365 | 13.439 | 0.000 | 0.000 | 0.000 | 0.000 | 0.363 |
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 | 26 | 26 | 28 | 22 | 0 | 24 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.247 | 1.348 | 16.205 | 0.000 | 0.263 | 32.723 | 51.716 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.711 | 4.889 | 14.576 | 0.000 | 0.000 | 7.968 | 0.000 | 0.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.438 | 3.505 | 13.914 | 0.000 | 0.000 | 4.081 | 182.161 | 0.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 3 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.317 | 0.945 | 7.342 | 0.000 | 0.000 | 1.938 | 191.315 | 0.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 3 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.13 | 0.91 |
time (sec) |
N/A | 0.189 | 0.184 | 7.868 | 0.000 | 0.000 | 0.856 | 169.363 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.249 | 1.609 | 14.517 | 0.000 | 0.000 | 1.864 | 168.353 | 0.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.398 | 2.361 | 14.135 | 0.000 | 0.000 | 4.247 | 184.655 | 0.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.506 | 8.012 | 14.829 | 0.000 | 0.000 | 8.014 | 185.548 | 0.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.766 | 16.032 | 14.486 | 0.000 | 0.000 | 19.105 | 186.459 | 0.334 |
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 | 26 | 26 | 28 | 22 | 0 | 51 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 1.96 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.259 | 1.511 | 12.403 | 0.000 | 0.260 | 102.355 | 52.401 | 0.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.271 | 7.729 | 7.350 | 0.000 | 0.000 | 9.944 | 0.000 | 0.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.263 | 4.198 | 7.040 | 0.000 | 0.000 | 5.246 | 67.521 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 121 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.528 | 0.146 | 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 | C | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 91 | 89 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.438 | 0.124 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.256 | 2.648 | 11.481 | 0.000 | 0.000 | 8.703 | 35.841 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.263 | 4.987 | 11.353 | 0.000 | 0.000 | 18.055 | 40.770 | 0.346 |
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 | 26 | 26 | 28 | 22 | 0 | 62 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 2.38 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.254 | 2.381 | 33.796 | 0.000 | 0.268 | 0.000 | 51.916 | 0.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.256 | 7.186 | 30.049 | 0.000 | 0.000 | 50.886 | 83.620 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | F(-2) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 143 | 324 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.585 | 0.461 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 135 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.732 | 0.388 | 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 | C | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 135 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 0.361 | 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 | C | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 213 | 145 | 252 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.449 | 0.547 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.257 | 3.789 | 14.428 | 0.000 | 0.000 | 61.562 | 45.009 | 0.359 |
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 | 22 | 22 | 24 | 20 | 0 | 22 | 0 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 0.00 | 0.14 | 1.00 |
time (sec) |
N/A | 0.194 | 0.908 | 8.177 | 0.000 | 0.251 | 0.000 | 51.818 | 0.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 31 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.41 | 0.14 | 1.00 |
time (sec) |
N/A | 0.194 | 5.259 | 4.261 | 0.000 | 0.000 | 8.873 | 78.967 | 0.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | 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 | 0 | 29 | 3 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 1.45 | 0.15 | 1.00 |
time (sec) |
N/A | 0.255 | 0.871 | 3.771 | 0.000 | 0.000 | 6.413 | 78.990 | 0.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 17 | 0 | 0 | 27 | 3 | 19 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 0.00 | 0.00 | 1.42 | 0.16 | 1.00 |
time (sec) |
N/A | 0.242 | 2.420 | 3.594 | 0.000 | 0.000 | 3.853 | 77.829 | 0.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 27 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.190 | 1.238 | 4.792 | 0.000 | 0.000 | 4.956 | 194.848 | 0.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 27 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.192 | 0.874 | 5.700 | 0.000 | 0.000 | 4.432 | 192.307 | 0.529 |
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 | 24 | 24 | 26 | 22 | 0 | 37 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.54 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.215 | 0.759 | 10.661 | 0.000 | 0.259 | 0.000 | 51.635 | 0.556 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 51 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.12 | 0.12 | 1.00 |
time (sec) |
N/A | 0.212 | 3.697 | 4.945 | 0.000 | 0.000 | 18.017 | 78.596 | 0.465 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 49 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 2.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.277 | 0.918 | 4.806 | 0.000 | 0.000 | 13.869 | 78.300 | 0.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 48 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 2.29 | 0.14 | 1.00 |
time (sec) |
N/A | 0.496 | 1.378 | 3.572 | 0.000 | 0.000 | 9.108 | 78.310 | 0.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.205 | 1.251 | 5.474 | 0.000 | 0.000 | 9.748 | 260.897 | 0.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.210 | 1.180 | 5.161 | 0.000 | 0.000 | 7.597 | 253.696 | 0.475 |
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 | 24 | 24 | 26 | 22 | 0 | 48 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.00 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.211 | 0.557 | 9.622 | 0.000 | 0.261 | 0.000 | 52.281 | 0.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 70 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.92 | 0.12 | 1.00 |
time (sec) |
N/A | 0.214 | 3.560 | 4.066 | 0.000 | 0.000 | 37.408 | 77.701 | 0.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 68 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 3.09 | 0.14 | 1.00 |
time (sec) |
N/A | 0.275 | 0.950 | 4.866 | 0.000 | 0.000 | 29.828 | 77.003 | 0.448 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 66 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 3.14 | 0.14 | 1.00 |
time (sec) |
N/A | 0.739 | 1.405 | 3.599 | 0.000 | 0.000 | 18.509 | 76.854 | 0.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 66 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.75 | 0.00 | 1.00 |
time (sec) |
N/A | 0.203 | 1.208 | 5.001 | 0.000 | 0.000 | 17.762 | 0.000 | 0.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 66 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.75 | 0.00 | 1.00 |
time (sec) |
N/A | 0.207 | 1.430 | 4.932 | 0.000 | 0.000 | 15.143 | 0.000 | 0.467 |
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 | 24 | 24 | 26 | 22 | 0 | 24 | 22 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.00 | 0.92 | 0.12 | 1.00 |
time (sec) |
N/A | 0.225 | 0.649 | 5.833 | 0.000 | 0.253 | 71.781 | 52.023 | 0.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 22 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.92 | 0.12 | 1.00 |
time (sec) |
N/A | 0.430 | 3.383 | 3.618 | 0.000 | 0.000 | 2.701 | 78.813 | 0.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 22 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.92 | 0.12 | 1.00 |
time (sec) |
N/A | 0.331 | 0.748 | 3.617 | 0.000 | 0.000 | 1.765 | 78.431 | 0.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 20 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 0.91 | 0.14 | 1.00 |
time (sec) |
N/A | 0.233 | 0.799 | 4.200 | 0.000 | 0.000 | 1.417 | 74.303 | 0.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 0 | 14 | 0 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.78 | 0.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.175 | 0.005 | 4.584 | 0.000 | 0.247 | 0.000 | 0.281 | 0.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 19 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.79 | 0.12 | 1.00 |
time (sec) |
N/A | 0.298 | 0.322 | 4.918 | 0.000 | 0.000 | 1.214 | 72.274 | 0.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.341 | 0.611 | 3.724 | 0.000 | 0.000 | 1.877 | 73.134 | 0.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.500 | 1.646 | 3.363 | 0.000 | 0.000 | 2.606 | 73.642 | 0.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 20 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 0.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.556 | 4.223 | 4.246 | 0.000 | 0.000 | 3.633 | 72.604 | 0.484 |
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 | 24 | 24 | 26 | 22 | 0 | 39 | 32 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.62 | 1.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.211 | 1.476 | 15.977 | 0.000 | 0.253 | 92.104 | 51.936 | 0.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 32 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.211 | 3.308 | 14.748 | 0.000 | 0.000 | 3.424 | 87.403 | 0.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 187 | 75 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.47 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.480 | 7.453 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 108 | 75 | 64 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.69 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.581 | 0.101 | 6.783 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 122 | 186 | 75 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.50 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 0.438 | 7.272 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.224 | 0.887 | 4.587 | 0.000 | 0.000 | 2.414 | 82.786 | 0.526 |
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 | 24 | 24 | 26 | 22 | 0 | 50 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.08 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.227 | 1.423 | 13.468 | 0.000 | 0.257 | 0.000 | 57.187 | 0.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 41 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.71 | 0.12 | 1.00 |
time (sec) |
N/A | 0.221 | 5.180 | 14.539 | 0.000 | 0.000 | 9.480 | 93.596 | 0.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 274 | 355 | 132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 1.54 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.447 | 0.746 | 8.570 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 149 | 350 | 124 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 2.08 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.499 | 0.256 | 7.556 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 91 | 353 | 81 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 3.27 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 0.654 | 6.714 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 149 | 347 | 124 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 2.07 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.236 | 7.315 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 258 | 355 | 132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 1.62 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.167 | 0.712 | 7.533 | 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 | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 37 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.54 | 0.12 | 1.00 |
time (sec) |
N/A | 0.221 | 1.591 | 4.707 | 0.000 | 0.000 | 6.113 | 87.543 | 0.520 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.256 | 1.349 | 16.533 | 0.000 | 0.267 | 0.000 | 0.000 | 0.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.260 | 3.914 | 13.836 | 0.000 | 0.000 | 92.778 | 88.924 | 0.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 0 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.317 | 6.228 | 6.793 | 0.000 | 0.000 | 53.441 | 0.000 | 0.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 0 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.00 | 0.91 |
time (sec) |
N/A | 0.350 | 0.244 | 13.706 | 0.000 | 0.000 | 26.595 | 0.000 | 0.340 |