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 | B | A | B | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 261 | 148 | 208 | 0 | 181 | 0 | 123 | 0 |
N.S. |
1 | 2.29 | 1.30 | 1.82 | 0.00 | 1.59 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.422 | 0.482 | 4.776 | 0.000 | 0.271 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 177 | 71 | 126 | 0 | 0 | 0 | 209 | 72 |
N.S. |
1 | 1.55 | 0.62 | 1.11 | 0.00 | 0.00 | 0.00 | 1.83 | 0.63 |
time (sec) |
N/A | 0.480 | 5.001 | 0.414 | 0.000 | 0.000 | 0.000 | 0.303 | 6.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 126 | 114 | 132 | 0 | 558 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.00 | 1.16 | 0.00 | 4.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.770 | 0.860 | 0.362 | 0.000 | 100.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 141 | 111 | 84 | 0 | 109 | 90 | 0 | 0 |
N.S. |
1 | 1.24 | 0.97 | 0.74 | 0.00 | 0.96 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.187 | 0.051 | 0.000 | 0.270 | 47.812 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | C | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 114 | 0 | 82 | 0 | 0 | 219 | 44 | 0 | 0 |
N.S. |
1 | 0.00 | 0.72 | 0.00 | 0.00 | 1.92 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.147 | 0.000 | 0.000 | 23.017 | 0.633 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 0 | 102 | 705 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 6.13 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.118 | 1.051 | 0.000 | 0.703 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 150 | 46 | 111 | 145 | 124 | 112 | 0 | 158 |
N.S. |
1 | 1.30 | 0.40 | 0.97 | 1.26 | 1.08 | 0.97 | 0.00 | 1.37 |
time (sec) |
N/A | 0.334 | 10.024 | 1.769 | 0.327 | 0.504 | 6.759 | 0.000 | 5.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 85 | 103 | 83 | 86 | 236 | 37 | 87 | 100 |
N.S. |
1 | 0.74 | 0.90 | 0.72 | 0.75 | 2.05 | 0.32 | 0.76 | 0.87 |
time (sec) |
N/A | 0.212 | 0.097 | 0.570 | 0.303 | 0.290 | 0.538 | 0.526 | 5.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 0 | 115 | 119 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.03 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.414 | 5.020 | 0.000 | 3.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 706 | 151 | 78 | 31 | 0 | 29 | 0 | 31 |
N.S. |
1 | 6.14 | 1.31 | 0.68 | 0.27 | 0.00 | 0.25 | 0.00 | 0.27 |
time (sec) |
N/A | 1.546 | 3.229 | 160.698 | 0.246 | 0.000 | 2.365 | 0.000 | 5.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 0 | 115 | 80 | 29 | 0 | 26 | 29 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.70 | 0.25 | 0.00 | 0.23 | 0.25 | 0.23 |
time (sec) |
N/A | 0.000 | 0.101 | 0.520 | 0.293 | 0.000 | 20.851 | 0.508 | 5.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 0 | 115 | 80 | 29 | 0 | 26 | 29 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.70 | 0.25 | 0.00 | 0.23 | 0.25 | 0.23 |
time (sec) |
N/A | 0.000 | 0.001 | 0.378 | 0.292 | 0.000 | 21.200 | 0.512 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 116 | 396 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 3.41 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.275 | 2.055 | 0.000 | 0.531 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 964 | 142 | 88 | 139 | 0 | 29 | 32 | 35 |
N.S. |
1 | 8.31 | 1.22 | 0.76 | 1.20 | 0.00 | 0.25 | 0.28 | 0.30 |
time (sec) |
N/A | 2.662 | 3.095 | 202.401 | 0.319 | 0.000 | 50.616 | 0.394 | 6.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 964 | 142 | 88 | 139 | 0 | 29 | 32 | 35 |
N.S. |
1 | 8.31 | 1.22 | 0.76 | 1.20 | 0.00 | 0.25 | 0.28 | 0.30 |
time (sec) |
N/A | 2.389 | 0.001 | 185.728 | 0.302 | 0.000 | 51.327 | 0.401 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 126 | 148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.09 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.088 | 0.915 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | F | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 482 | 0 | 148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 4.16 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.680 | 0.000 | 1.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | F | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 482 | 0 | 148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 4.16 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.564 | 0.000 | 1.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 0 | 148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 445 | 116 | 75 | 30 | 0 | 22 | 30 | 29 |
N.S. |
1 | 3.84 | 1.00 | 0.65 | 0.26 | 0.00 | 0.19 | 0.26 | 0.25 |
time (sec) |
N/A | 0.792 | 0.552 | 0.300 | 0.227 | 0.000 | 7.912 | 1.886 | 5.885 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 445 | 116 | 75 | 30 | 0 | 22 | 30 | 29 |
N.S. |
1 | 3.84 | 1.00 | 0.65 | 0.26 | 0.00 | 0.19 | 0.26 | 0.25 |
time (sec) |
N/A | 0.583 | 0.001 | 0.204 | 0.248 | 0.000 | 7.897 | 1.726 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 539 | 117 | 77 | 35 | 0 | 0 | 35 | 35 |
N.S. |
1 | 4.65 | 1.01 | 0.66 | 0.30 | 0.00 | 0.00 | 0.30 | 0.30 |
time (sec) |
N/A | 1.693 | 1.378 | 0.309 | 0.249 | 0.000 | 0.000 | 1.909 | 6.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 539 | 117 | 77 | 35 | 0 | 0 | 35 | 35 |
N.S. |
1 | 4.65 | 1.01 | 0.66 | 0.30 | 0.00 | 0.00 | 0.30 | 0.30 |
time (sec) |
N/A | 1.288 | 0.001 | 0.211 | 0.259 | 0.000 | 0.000 | 1.935 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 116 | 0 | 57 | 0 | 65 | 57 | 56 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.49 | 0.00 | 0.56 | 0.49 | 0.48 |
time (sec) |
N/A | 0.000 | 1.462 | 0.000 | 0.250 | 0.000 | 6.129 | 0.325 | 6.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 0 | 116 | 0 | 57 | 0 | 65 | 57 | 56 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.49 | 0.00 | 0.56 | 0.49 | 0.48 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.270 | 0.000 | 6.053 | 0.307 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 117 | 140 | 169 | 33 | 0 | 112 | 0 | 109 | 0 |
N.S. |
1 | 1.20 | 1.44 | 0.28 | 0.00 | 0.96 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.316 | 1.135 | 1.882 | 0.000 | 0.428 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 332 | 117 | 98 | 0 | 589 | 0 | 0 | 0 |
N.S. |
1 | 2.84 | 1.00 | 0.84 | 0.00 | 5.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.672 | 0.459 | 0.325 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 332 | 117 | 98 | 0 | 589 | 0 | 0 | 0 |
N.S. |
1 | 2.84 | 1.00 | 0.84 | 0.00 | 5.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.743 | 0.398 | 0.403 | 0.000 | 0.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 112 | 33 | 145 | 107 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.28 | 1.24 | 0.91 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 4.488 | 2.219 | 0.297 | 0.272 | 6.626 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 112 | 33 | 145 | 107 | 36 | 0 | 0 |
N.S. |
1 | 1.01 | 0.96 | 0.28 | 1.24 | 0.91 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 1.105 | 1.885 | 0.285 | 0.270 | 3.597 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 112 | 17 | 145 | 107 | 29 | 0 | 0 |
N.S. |
1 | 1.01 | 0.96 | 0.15 | 1.24 | 0.91 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 4.468 | 2.132 | 0.279 | 0.256 | 6.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 112 | 17 | 145 | 107 | 31 | 0 | 0 |
N.S. |
1 | 1.01 | 0.96 | 0.15 | 1.24 | 0.91 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 1.150 | 1.917 | 0.291 | 0.244 | 3.550 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 179 | 84 | 133 | 0 | 0 | 0 | 220 | 80 |
N.S. |
1 | 1.53 | 0.72 | 1.14 | 0.00 | 0.00 | 0.00 | 1.88 | 0.68 |
time (sec) |
N/A | 0.406 | 10.057 | 0.382 | 0.000 | 0.000 | 0.000 | 0.309 | 6.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 0 | 114 | 111 | 0 | 157 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.95 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.285 | 2.357 | 0.000 | 1.976 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 179 | 147 | 131 | 0 | 0 | 0 | 217 | 73 |
N.S. |
1 | 1.53 | 1.26 | 1.12 | 0.00 | 0.00 | 0.00 | 1.85 | 0.62 |
time (sec) |
N/A | 0.420 | 10.119 | 0.349 | 0.000 | 0.000 | 0.000 | 0.299 | 6.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 179 | 147 | 131 | 0 | 0 | 0 | 217 | 73 |
N.S. |
1 | 1.53 | 1.26 | 1.12 | 0.00 | 0.00 | 0.00 | 1.85 | 0.62 |
time (sec) |
N/A | 0.401 | 10.081 | 0.329 | 0.000 | 0.000 | 0.000 | 0.319 | 5.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 182 | 170 | 235 | 0 | 400 | 0 | 123 | 0 |
N.S. |
1 | 1.56 | 1.45 | 2.01 | 0.00 | 3.42 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.844 | 0.496 | 3.228 | 0.000 | 4.811 | 0.000 | 0.325 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 507 | 112 | 121 | 42 | 3354 | 32 | 42 | 38 |
N.S. |
1 | 4.33 | 0.96 | 1.03 | 0.36 | 28.67 | 0.27 | 0.36 | 0.32 |
time (sec) |
N/A | 1.562 | 0.833 | 0.338 | 0.227 | 0.473 | 95.949 | 1.621 | 5.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 507 | 112 | 121 | 42 | 3354 | 32 | 42 | 38 |
N.S. |
1 | 4.33 | 0.96 | 1.03 | 0.36 | 28.67 | 0.27 | 0.36 | 0.32 |
time (sec) |
N/A | 1.240 | 0.002 | 0.234 | 0.217 | 0.424 | 92.515 | 1.575 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 0 | 0 | 0 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 70 | 105 | 130 | 170 | 101 | 73 | 0 | 0 |
N.S. |
1 | 0.59 | 0.89 | 1.10 | 1.44 | 0.86 | 0.62 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.270 | 0.467 | 0.285 | 0.270 | 1.018 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 223 | 204 | 36 | 0 | 100 | 0 | 83 | 0 |
N.S. |
1 | 1.89 | 1.73 | 0.31 | 0.00 | 0.85 | 0.00 | 0.70 | 0.00 |
time (sec) |
N/A | 0.383 | 2.285 | 0.949 | 0.000 | 47.606 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 118 | 130 | 139 | 27 | 0 | 110 | 0 | 89 | 27 |
N.S. |
1 | 1.10 | 1.18 | 0.23 | 0.00 | 0.93 | 0.00 | 0.75 | 0.23 |
time (sec) |
N/A | 0.255 | 0.211 | 0.584 | 0.000 | 0.268 | 0.000 | 0.275 | 5.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 168 | 160 | 15 | 0 | 110 | 0 | 97 | 0 |
N.S. |
1 | 1.42 | 1.36 | 0.13 | 0.00 | 0.93 | 0.00 | 0.82 | 0.00 |
time (sec) |
N/A | 0.317 | 0.320 | 0.656 | 0.000 | 0.293 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 138 | 151 | 80 | 1022 | 22 | 193 | 22 |
N.S. |
1 | 0.00 | 1.17 | 1.28 | 0.68 | 8.66 | 0.19 | 1.64 | 0.19 |
time (sec) |
N/A | 0.000 | 0.342 | 79.477 | 0.302 | 3.786 | 1.149 | 0.318 | 5.507 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 138 | 151 | 80 | 1022 | 22 | 193 | 22 |
N.S. |
1 | 0.00 | 1.17 | 1.28 | 0.68 | 8.66 | 0.19 | 1.64 | 0.19 |
time (sec) |
N/A | 0.000 | 0.002 | 73.739 | 0.315 | 3.787 | 1.165 | 0.312 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 118 | 121 | 0 | 153 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.03 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.264 | 3.717 | 0.000 | 1.754 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 338 | 154 | 127 | 35 | 0 | 29 | 35 | 34 |
N.S. |
1 | 2.86 | 1.31 | 1.08 | 0.30 | 0.00 | 0.25 | 0.30 | 0.29 |
time (sec) |
N/A | 1.145 | 1.054 | 0.518 | 0.244 | 0.000 | 5.232 | 0.922 | 5.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 338 | 154 | 127 | 35 | 0 | 29 | 35 | 34 |
N.S. |
1 | 2.86 | 1.31 | 1.08 | 0.30 | 0.00 | 0.25 | 0.30 | 0.29 |
time (sec) |
N/A | 0.960 | 0.001 | 0.487 | 0.241 | 0.000 | 5.164 | 0.876 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 319 | 104 | 97 | 0 | 294 | 0 | 0 | 0 |
N.S. |
1 | 2.70 | 0.88 | 0.82 | 0.00 | 2.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.109 | 15.331 | 14.189 | 0.000 | 2.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 146 | 159 | 0 | 332 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.24 | 1.35 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.176 | 6.560 | 0.000 | 4.674 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 146 | 159 | 0 | 332 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.24 | 1.35 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.000 | 4.637 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 131 | 112 | 153 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.95 | 1.30 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 0.313 | 2.547 | 0.000 | 0.601 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 126 | 100 | 110 | 145 | 243 | 184 | 149 | 0 |
N.S. |
1 | 1.07 | 0.85 | 0.93 | 1.23 | 2.06 | 1.56 | 1.26 | 0.00 |
time (sec) |
N/A | 0.594 | 0.184 | 0.144 | 0.322 | 0.280 | 4.332 | 0.528 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | B | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 153 | 106 | 161 | 0 | 0 | 226 | 0 | 0 |
N.S. |
1 | 1.30 | 0.90 | 1.36 | 0.00 | 0.00 | 1.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.432 | 0.218 | 0.158 | 0.000 | 0.000 | 0.645 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 114 | 0 | 0 | 319 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.00 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.276 | 0.000 | 0.000 | 2.614 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 118 | 165 | 25 | 0 | 0 | 3653 | 25 |
N.S. |
1 | 0.00 | 1.00 | 1.40 | 0.21 | 0.00 | 0.00 | 30.96 | 0.21 |
time (sec) |
N/A | 0.000 | 0.272 | 0.579 | 1.338 | 0.000 | 0.000 | 16.789 | 5.710 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 0 | 72 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.357 | 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 | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 119 | 152 | 114 | 33 | 193 | 111 | 36 | 0 | 0 |
N.S. |
1 | 1.28 | 0.96 | 0.28 | 1.62 | 0.93 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.331 | 0.992 | 0.272 | 0.252 | 120.285 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 0 | 72 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.759 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | F(-2) | F(-1) | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 1540 | 155 | 82 | 32 | 0 | 0 | 0 | 32 |
N.S. |
1 | 12.94 | 1.30 | 0.69 | 0.27 | 0.00 | 0.00 | 0.00 | 0.27 |
time (sec) |
N/A | 3.867 | 3.027 | 201.051 | 0.279 | 0.000 | 0.000 | 0.000 | 5.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 350 | 155 | 128 | 35 | 0 | 29 | 35 | 35 |
N.S. |
1 | 2.94 | 1.30 | 1.08 | 0.29 | 0.00 | 0.24 | 0.29 | 0.29 |
time (sec) |
N/A | 1.083 | 1.098 | 0.394 | 0.234 | 0.000 | 5.214 | 0.895 | 5.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 350 | 155 | 128 | 35 | 0 | 29 | 35 | 35 |
N.S. |
1 | 2.94 | 1.30 | 1.08 | 0.29 | 0.00 | 0.24 | 0.29 | 0.29 |
time (sec) |
N/A | 0.928 | 0.002 | 0.368 | 0.236 | 0.000 | 5.279 | 0.867 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 0 | 116 | 119 | 0 | 149 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 1.00 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.309 | 14.131 | 0.000 | 9.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 0 | 119 | 158 | 0 | 356 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.33 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.781 | 11.102 | 0.000 | 64.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 176 | 129 | 144 | 0 | 268 | 0 | 261 | 38 |
N.S. |
1 | 1.48 | 1.08 | 1.21 | 0.00 | 2.25 | 0.00 | 2.19 | 0.32 |
time (sec) |
N/A | 0.377 | 0.060 | 0.970 | 0.000 | 0.261 | 0.000 | 0.284 | 5.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 1494 | 107 | 86 | 0 | 521 | 0 | 0 | 0 |
N.S. |
1 | 12.55 | 0.90 | 0.72 | 0.00 | 4.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.018 | 1.706 | 4.589 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 871 | 107 | 109 | 0 | 545 | 0 | 0 | 0 |
N.S. |
1 | 7.32 | 0.90 | 0.92 | 0.00 | 4.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.896 | 1.644 | 5.252 | 0.000 | 0.323 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 380 | 113 | 139 | 0 | 376 | 0 | 0 | 0 |
N.S. |
1 | 3.19 | 0.95 | 1.17 | 0.00 | 3.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.143 | 0.527 | 8.951 | 0.000 | 0.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 99 | 100 | 85 | 95 | 200 | 114 | 107 | 0 |
N.S. |
1 | 0.83 | 0.84 | 0.71 | 0.80 | 1.68 | 0.96 | 0.90 | 0.00 |
time (sec) |
N/A | 0.272 | 0.221 | 0.164 | 0.273 | 0.282 | 1.633 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 0 | 179 | 0 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.50 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.493 | 0.000 | 0.000 | 0.626 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 214 | 119 | 120 | 0 | 117 | 323 | 0 | 0 |
N.S. |
1 | 1.80 | 1.00 | 1.01 | 0.00 | 0.98 | 2.71 | 0.00 | 0.00 |
time (sec) |
N/A | 1.281 | 2.353 | 3.863 | 0.000 | 0.432 | 3.760 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F(-1) | A | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 113 | 120 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 0.95 | 1.01 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.616 | 0.252 | 0.000 | 0.000 | 0.000 | 2.317 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 111 | 95 | 85 | 102 | 130 | 128 | 102 | 0 |
N.S. |
1 | 0.93 | 0.80 | 0.71 | 0.86 | 1.09 | 1.08 | 0.86 | 0.00 |
time (sec) |
N/A | 0.892 | 0.165 | 0.126 | 0.275 | 0.259 | 4.998 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 1050 | 146 | 83 | 37 | 0 | 36 | 0 | 37 |
N.S. |
1 | 8.75 | 1.22 | 0.69 | 0.31 | 0.00 | 0.30 | 0.00 | 0.31 |
time (sec) |
N/A | 2.644 | 2.951 | 46.020 | 0.336 | 0.000 | 2.930 | 0.000 | 6.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 1050 | 146 | 83 | 37 | 0 | 36 | 0 | 37 |
N.S. |
1 | 8.75 | 1.22 | 0.69 | 0.31 | 0.00 | 0.30 | 0.00 | 0.31 |
time (sec) |
N/A | 2.431 | 0.001 | 42.732 | 0.328 | 0.000 | 2.892 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 0 | 120 | 263 | 33 | 321 | 29 | 33 | 33 |
N.S. |
1 | 0.00 | 1.00 | 2.19 | 0.28 | 2.68 | 0.24 | 0.28 | 0.28 |
time (sec) |
N/A | 0.000 | 0.157 | 8.108 | 0.319 | 0.341 | 1.880 | 0.298 | 6.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 0 | 120 | 263 | 33 | 321 | 29 | 33 | 33 |
N.S. |
1 | 0.00 | 1.00 | 2.19 | 0.28 | 2.68 | 0.24 | 0.28 | 0.28 |
time (sec) |
N/A | 0.000 | 0.001 | 4.717 | 0.319 | 0.363 | 1.844 | 0.300 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 0 | 120 | 256 | 33 | 475 | 34 | 33 | 33 |
N.S. |
1 | 0.00 | 1.00 | 2.13 | 0.28 | 3.96 | 0.28 | 0.28 | 0.28 |
time (sec) |
N/A | 0.000 | 0.156 | 4.904 | 0.306 | 0.357 | 2.196 | 0.312 | 6.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 0 | 120 | 256 | 33 | 475 | 34 | 33 | 33 |
N.S. |
1 | 0.00 | 1.00 | 2.13 | 0.28 | 3.96 | 0.28 | 0.28 | 0.28 |
time (sec) |
N/A | 0.000 | 0.001 | 2.331 | 0.318 | 0.348 | 2.240 | 0.308 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 132 | 110 | 117 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.92 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.837 | 1.048 | 0.464 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 529 | 121 | 79 | 42 | 0 | 0 | 42 | 39 |
N.S. |
1 | 4.41 | 1.01 | 0.66 | 0.35 | 0.00 | 0.00 | 0.35 | 0.32 |
time (sec) |
N/A | 1.755 | 1.421 | 0.324 | 0.261 | 0.000 | 0.000 | 1.857 | 6.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 529 | 121 | 79 | 42 | 0 | 0 | 42 | 39 |
N.S. |
1 | 4.41 | 1.01 | 0.66 | 0.35 | 0.00 | 0.00 | 0.35 | 0.32 |
time (sec) |
N/A | 1.422 | 0.002 | 0.397 | 0.289 | 0.000 | 0.000 | 1.861 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 0 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.376 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 0 | 104 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.803 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 831 | 117 | 79 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 6.87 | 0.97 | 0.65 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.235 | 1.007 | 2.790 | 0.000 | 0.377 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 319 | 147 | 105 | 0 | 307 | 0 | 0 | 0 |
N.S. |
1 | 2.64 | 1.21 | 0.87 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.860 | 0.762 | 7.220 | 0.000 | 2.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 1732 | 121 | 106 | 0 | 579 | 0 | 0 | 164 |
N.S. |
1 | 14.31 | 1.00 | 0.88 | 0.00 | 4.79 | 0.00 | 0.00 | 1.36 |
time (sec) |
N/A | 4.078 | 0.590 | 0.826 | 0.000 | 0.351 | 0.000 | 0.000 | 11.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 320 | 106 | 95 | 0 | 320 | 0 | 0 | 0 |
N.S. |
1 | 2.64 | 0.88 | 0.79 | 0.00 | 2.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.085 | 15.318 | 11.620 | 0.000 | 2.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 0 | 152 | 98 | 29 | 3561 | 41 | 0 | 29 |
N.S. |
1 | 0.00 | 1.26 | 0.81 | 0.24 | 29.43 | 0.34 | 0.00 | 0.24 |
time (sec) |
N/A | 0.000 | 0.330 | 113.071 | 0.232 | 5.027 | 3.211 | 0.000 | 5.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 0 | 152 | 98 | 29 | 3561 | 41 | 0 | 29 |
N.S. |
1 | 0.00 | 1.26 | 0.81 | 0.24 | 29.43 | 0.34 | 0.00 | 0.24 |
time (sec) |
N/A | 0.000 | 0.001 | 113.550 | 0.244 | 5.082 | 3.220 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 231 | 118 | 104 | 36 | 514 | 37 | 36 | 35 |
N.S. |
1 | 1.91 | 0.98 | 0.86 | 0.30 | 4.25 | 0.31 | 0.30 | 0.29 |
time (sec) |
N/A | 0.813 | 0.299 | 7.679 | 0.302 | 0.286 | 134.237 | 0.300 | 6.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 0 | 105 | 0 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.87 | 0.00 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.523 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 0 | 102 | 131 | 0 | 157 | 0 | 202 | 57 |
N.S. |
1 | 0.00 | 0.84 | 1.07 | 0.00 | 1.29 | 0.00 | 1.66 | 0.47 |
time (sec) |
N/A | 0.000 | 0.250 | 1.141 | 0.000 | 0.290 | 0.000 | 0.294 | 6.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 122 | 163 | 174 | 33 | 0 | 117 | 0 | 127 | 0 |
N.S. |
1 | 1.34 | 1.43 | 0.27 | 0.00 | 0.96 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.369 | 3.473 | 1.927 | 0.000 | 0.392 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 101 | 123 | 352 | 0 | 120 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 1.01 | 2.89 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.079 | 0.286 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 144 | 158 | 161 | 0 | 478 | 0 | 112 | 0 |
N.S. |
1 | 1.18 | 1.30 | 1.32 | 0.00 | 3.92 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.646 | 0.380 | 2.395 | 0.000 | 10.772 | 0.000 | 0.316 | 0.000 |