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 | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 321 | 144 | 129 | 0 | 0 | 0 | 277 | 0 |
N.S. |
1 | 2.63 | 1.18 | 1.06 | 0.00 | 0.00 | 0.00 | 2.27 | 0.00 |
time (sec) |
N/A | 0.542 | 0.486 | 0.363 | 0.000 | 0.000 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 321 | 144 | 128 | 0 | 0 | 0 | 277 | 0 |
N.S. |
1 | 2.63 | 1.18 | 1.05 | 0.00 | 0.00 | 0.00 | 2.27 | 0.00 |
time (sec) |
N/A | 0.543 | 0.441 | 0.343 | 0.000 | 0.000 | 0.000 | 0.306 | 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 | 122 | 365 | 164 | 140 | 36 | 0 | 29 | 36 | 36 |
N.S. |
1 | 2.99 | 1.34 | 1.15 | 0.30 | 0.00 | 0.24 | 0.30 | 0.30 |
time (sec) |
N/A | 1.114 | 1.103 | 0.433 | 0.242 | 0.000 | 5.628 | 0.889 | 6.078 |
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 | 122 | 365 | 164 | 140 | 36 | 0 | 29 | 36 | 36 |
N.S. |
1 | 2.99 | 1.34 | 1.15 | 0.30 | 0.00 | 0.24 | 0.30 | 0.30 |
time (sec) |
N/A | 0.971 | 0.004 | 0.385 | 0.227 | 0.000 | 5.436 | 0.877 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 140 | 112 | 199 | 361 | 627 | 122 | 0 | 0 |
N.S. |
1 | 1.15 | 0.92 | 1.63 | 2.96 | 5.14 | 1.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.636 | 0.335 | 0.290 | 0.359 | 2.640 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 0 | 108 | 84 | 0 | 93 | 0 | 84 | 109 |
N.S. |
1 | 0.00 | 0.88 | 0.68 | 0.00 | 0.76 | 0.00 | 0.68 | 0.89 |
time (sec) |
N/A | 0.000 | 0.182 | 6.822 | 0.000 | 0.297 | 0.000 | 0.316 | 6.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 73 | 108 | 84 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.88 | 0.68 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 0.160 | 6.519 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 203 | 104 | 142 | 162 | 128 | 42 | 162 | 44 |
N.S. |
1 | 1.65 | 0.85 | 1.15 | 1.32 | 1.04 | 0.34 | 1.32 | 0.36 |
time (sec) |
N/A | 0.373 | 0.159 | 0.925 | 0.272 | 0.292 | 0.518 | 0.273 | 5.994 |
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 | 123 | 88 | 108 | 87 | 95 | 308 | 39 | 120 | 118 |
N.S. |
1 | 0.72 | 0.88 | 0.71 | 0.77 | 2.50 | 0.32 | 0.98 | 0.96 |
time (sec) |
N/A | 0.203 | 0.094 | 0.604 | 0.276 | 0.334 | 0.491 | 0.487 | 6.011 |
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 | 123 | 1261 | 129 | 69 | 0 | 421 | 0 | 0 | 0 |
N.S. |
1 | 10.25 | 1.05 | 0.56 | 0.00 | 3.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 7.302 | 0.918 | 0.896 | 0.000 | 0.350 | 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 | 123 | 402 | 129 | 69 | 0 | 423 | 0 | 0 | 0 |
N.S. |
1 | 3.27 | 1.05 | 0.56 | 0.00 | 3.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.920 | 0.893 | 0.782 | 0.000 | 0.351 | 0.000 | 0.000 | 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 | 123 | 505 | 146 | 111 | 22 | 570 | 19 | 22 | 22 |
N.S. |
1 | 4.11 | 1.19 | 0.90 | 0.18 | 4.63 | 0.15 | 0.18 | 0.18 |
time (sec) |
N/A | 1.540 | 0.230 | 11.782 | 0.214 | 0.283 | 0.394 | 0.315 | 5.562 |
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 | 123 | 0 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.519 | 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 | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 0 | 123 | 151 | 0 | 342 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.23 | 0.00 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.316 | 5.485 | 0.000 | 5.859 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 210 | 140 | 153 | 0 | 264 | 0 | 278 | 0 |
N.S. |
1 | 1.71 | 1.14 | 1.24 | 0.00 | 2.15 | 0.00 | 2.26 | 0.00 |
time (sec) |
N/A | 0.430 | 0.491 | 0.317 | 0.000 | 0.312 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 887 | 135 | 80 | 0 | 196 | 0 | 0 | 1195 |
N.S. |
1 | 7.21 | 1.10 | 0.65 | 0.00 | 1.59 | 0.00 | 0.00 | 9.72 |
time (sec) |
N/A | 3.949 | 0.625 | 2.177 | 0.000 | 0.315 | 0.000 | 0.000 | 5.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 224 | 192 | 138 | 0 | 278 | 0 | 125 | 0 |
N.S. |
1 | 1.82 | 1.56 | 1.12 | 0.00 | 2.26 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 1.023 | 11.138 | 5.022 | 0.000 | 1.237 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 159 | 73 | 126 | 0 | 0 | 0 | 217 | 0 |
N.S. |
1 | 1.29 | 0.59 | 1.02 | 0.00 | 0.00 | 0.00 | 1.76 | 0.00 |
time (sec) |
N/A | 0.541 | 10.092 | 0.474 | 0.000 | 0.000 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 0 | 111 | 139 | 0 | 807 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 1.13 | 0.00 | 6.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.273 | 8.749 | 0.000 | 0.547 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 0 | 119 | 126 | 0 | 702 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 1.02 | 0.00 | 5.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.087 | 7.934 | 0.000 | 0.493 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 74 | 73 | 115 | 0 | 105 | 0 | 133 | 82 |
N.S. |
1 | 0.60 | 0.59 | 0.93 | 0.00 | 0.85 | 0.00 | 1.08 | 0.67 |
time (sec) |
N/A | 0.281 | 0.075 | 0.020 | 0.000 | 0.282 | 0.000 | 0.286 | 6.913 |
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 | 123 | 0 | 62 | 0 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.50 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 5.115 | 0.000 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 188 | 106 | 134 | 162 | 128 | 42 | 162 | 45 |
N.S. |
1 | 1.52 | 0.85 | 1.08 | 1.31 | 1.03 | 0.34 | 1.31 | 0.36 |
time (sec) |
N/A | 0.365 | 0.166 | 0.282 | 0.310 | 0.280 | 0.501 | 0.286 | 5.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 709 | 558 | 218 | 0 | 213 | 0 | 0 | 0 |
N.S. |
1 | 5.72 | 4.50 | 1.76 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.520 | 23.961 | 1.173 | 0.000 | 0.548 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 148 | 136 | 206 | 0 | 693 | 0 | 322 | 0 |
N.S. |
1 | 1.19 | 1.10 | 1.66 | 0.00 | 5.59 | 0.00 | 2.60 | 0.00 |
time (sec) |
N/A | 0.329 | 0.531 | 0.323 | 0.000 | 0.276 | 0.000 | 0.290 | 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 | 124 | 0 | 119 | 116 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 0.94 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.785 | 0.723 | 0.000 | 2.734 | 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 | 124 | 0 | 169 | 115 | 0 | 174 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.36 | 0.93 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.270 | 15.779 | 0.000 | 1.646 | 0.000 | 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 | 124 | 0 | 119 | 0 | 0 | 323 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 0.00 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.261 | 0.000 | 0.000 | 1.880 | 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 | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 0 | 124 | 23 | 25 | 682 | 27 | 25 | 25 |
N.S. |
1 | 0.00 | 1.00 | 0.19 | 0.20 | 5.50 | 0.22 | 0.20 | 0.20 |
time (sec) |
N/A | 0.000 | 0.166 | 0.023 | 0.597 | 0.286 | 1.835 | 124.680 | 7.809 |
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 | 124 | 0 | 124 | 23 | 25 | 682 | 27 | 25 | 25 |
N.S. |
1 | 0.00 | 1.00 | 0.19 | 0.20 | 5.50 | 0.22 | 0.20 | 0.20 |
time (sec) |
N/A | 0.000 | 0.001 | 0.002 | 0.631 | 0.313 | 1.819 | 122.595 | 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 | 124 | 0 | 124 | 23 | 25 | 682 | 27 | 25 | 25 |
N.S. |
1 | 0.00 | 1.00 | 0.19 | 0.20 | 5.50 | 0.22 | 0.20 | 0.20 |
time (sec) |
N/A | 0.000 | 0.001 | 0.001 | 0.614 | 0.298 | 1.877 | 125.066 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 78 | 108 | 83 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.86 | 0.66 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.174 | 6.249 | 0.000 | 0.258 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 78 | 108 | 81 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.86 | 0.65 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.169 | 6.194 | 0.000 | 0.279 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 78 | 108 | 81 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.86 | 0.65 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 0.160 | 6.168 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 0 | 171 | 135 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.37 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 67.098 | 0.939 | 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 | 125 | 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 | C | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 709 | 558 | 217 | 0 | 212 | 0 | 0 | 0 |
N.S. |
1 | 5.67 | 4.46 | 1.74 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.540 | 16.246 | 1.132 | 0.000 | 0.537 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 1571 | 127 | 218 | 0 | 284 | 0 | 0 | 537 |
N.S. |
1 | 12.57 | 1.02 | 1.74 | 0.00 | 2.27 | 0.00 | 0.00 | 4.30 |
time (sec) |
N/A | 2.713 | 0.393 | 3.509 | 0.000 | 0.301 | 0.000 | 0.000 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 135 | 144 | 117 | 0 | 266 | 0 | 128 | 0 |
N.S. |
1 | 1.08 | 1.15 | 0.94 | 0.00 | 2.13 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.505 | 0.665 | 0.895 | 0.000 | 2.480 | 0.000 | 0.363 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 125 | 170 | 120 | 142 | 155 | 288 | 71 | 0 | 81 |
N.S. |
1 | 1.36 | 0.96 | 1.14 | 1.24 | 2.30 | 0.57 | 0.00 | 0.65 |
time (sec) |
N/A | 0.393 | 5.638 | 10.214 | 0.297 | 11.532 | 1.444 | 0.000 | 8.990 |
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 | 125 | 0 | 108 | 142 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.082 | 1.059 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 98 | 125 | 0 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 1.00 | 0.00 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.027 | 0.000 | 0.000 | 0.229 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 0 | 108 | 142 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.274 | 1.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 0 | 127 | 377 | 0 | 413 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.02 | 3.02 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.481 | 11.318 | 0.000 | 28.741 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 125 | 170 | 0 | 250 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.36 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.588 | 0.445 | 3.432 | 0.000 | 0.252 | 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 | 125 | 0 | 115 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.292 | 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 | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 152 | 151 | 127 | 0 | 288 | 0 | 136 | 0 |
N.S. |
1 | 1.21 | 1.20 | 1.01 | 0.00 | 2.29 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.568 | 0.654 | 1.360 | 0.000 | 2.412 | 0.000 | 0.372 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 64 | 46 | 119 | 0 | 574 | 0 | 208 | 0 |
N.S. |
1 | 0.51 | 0.37 | 0.94 | 0.00 | 4.56 | 0.00 | 1.65 | 0.00 |
time (sec) |
N/A | 0.497 | 10.020 | 0.501 | 0.000 | 48.540 | 0.000 | 0.324 | 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 | 126 | 0 | 231 | 189 | 0 | 151 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.83 | 1.50 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.051 | 31.826 | 0.000 | 0.669 | 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(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 0 | 155 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.532 | 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 | F(-1) | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 330 | 160 | 0 | 154 | 2054 | 36 | 0 | 30 |
N.S. |
1 | 2.60 | 1.26 | 0.00 | 1.21 | 16.17 | 0.28 | 0.00 | 0.24 |
time (sec) |
N/A | 0.868 | 0.462 | 0.000 | 0.342 | 5.328 | 4.755 | 0.000 | 5.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F(-1) | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 330 | 160 | 0 | 154 | 2054 | 36 | 0 | 30 |
N.S. |
1 | 2.60 | 1.26 | 0.00 | 1.21 | 16.17 | 0.28 | 0.00 | 0.24 |
time (sec) |
N/A | 0.743 | 0.003 | 0.000 | 0.332 | 5.285 | 4.776 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 92 | 77 | 298 | 0 | 81 | 0 | 188 | 0 |
N.S. |
1 | 0.72 | 0.61 | 2.35 | 0.00 | 0.64 | 0.00 | 1.48 | 0.00 |
time (sec) |
N/A | 0.349 | 0.176 | 0.051 | 0.000 | 1.931 | 0.000 | 0.484 | 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 | 127 | 136 | 123 | 0 | 0 | 166 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.97 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.543 | 0.252 | 0.000 | 0.000 | 0.284 | 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 | 127 | 136 | 123 | 0 | 0 | 166 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.97 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 0.231 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 128 | 0 | 104 | 671 | 0 | 407 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 5.24 | 0.00 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.183 | 5.210 | 0.000 | 10.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 205 | 107 | 142 | 162 | 128 | 42 | 162 | 51 |
N.S. |
1 | 1.60 | 0.84 | 1.11 | 1.27 | 1.00 | 0.33 | 1.27 | 0.40 |
time (sec) |
N/A | 0.361 | 0.176 | 1.226 | 0.280 | 0.253 | 0.514 | 0.269 | 5.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 190 | 109 | 134 | 162 | 128 | 42 | 162 | 51 |
N.S. |
1 | 1.48 | 0.85 | 1.05 | 1.27 | 1.00 | 0.33 | 1.27 | 0.40 |
time (sec) |
N/A | 0.354 | 0.122 | 0.227 | 0.284 | 0.265 | 0.512 | 0.273 | 5.640 |
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 | 128 | 0 | 122 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 12.779 | 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 | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 202 | 107 | 142 | 162 | 128 | 41 | 162 | 44 |
N.S. |
1 | 1.58 | 0.84 | 1.11 | 1.27 | 1.00 | 0.32 | 1.27 | 0.34 |
time (sec) |
N/A | 0.373 | 0.158 | 0.977 | 0.276 | 0.266 | 0.540 | 0.264 | 5.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 186 | 109 | 134 | 162 | 128 | 39 | 162 | 46 |
N.S. |
1 | 1.45 | 0.85 | 1.05 | 1.27 | 1.00 | 0.30 | 1.27 | 0.36 |
time (sec) |
N/A | 0.366 | 0.127 | 0.243 | 0.269 | 0.265 | 0.498 | 0.267 | 5.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | N/A | F(-2) | F(-1) | F(-1) | N/A | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 0 | 455 | 257 | 0 | 0 | 0 | 23 | 1163 |
N.S. |
1 | 0.00 | 3.55 | 2.01 | 0.00 | 0.00 | 0.00 | 0.18 | 9.09 |
time (sec) |
N/A | 0.000 | 0.284 | 0.679 | 0.000 | 0.000 | 0.000 | 0.319 | 5.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 205 | 107 | 142 | 162 | 128 | 42 | 162 | 51 |
N.S. |
1 | 1.60 | 0.84 | 1.11 | 1.27 | 1.00 | 0.33 | 1.27 | 0.40 |
time (sec) |
N/A | 0.379 | 0.146 | 1.063 | 0.292 | 0.249 | 0.513 | 0.275 | 5.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 205 | 107 | 143 | 162 | 128 | 42 | 162 | 44 |
N.S. |
1 | 1.60 | 0.84 | 1.12 | 1.27 | 1.00 | 0.33 | 1.27 | 0.34 |
time (sec) |
N/A | 0.371 | 0.134 | 0.951 | 0.268 | 0.245 | 0.551 | 0.267 | 5.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 0 | 124 | 224 | 0 | 550 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 1.75 | 0.00 | 4.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.145 | 5.690 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 0 | 116 | 101 | 0 | 322 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.91 | 0.79 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.425 | 6.503 | 0.000 | 6.296 | 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 | 128 | 0 | 124 | 109 | 0 | 105 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.85 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.342 | 9.998 | 0.000 | 0.333 | 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 | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 0 | 128 | 41 | 43 | 678002 | 37 | 43 | 43 |
N.S. |
1 | 0.00 | 1.00 | 0.32 | 0.34 | 5296.89 | 0.29 | 0.34 | 0.34 |
time (sec) |
N/A | 0.000 | 0.453 | 0.012 | 0.257 | 2.341 | 0.594 | 2.486 | 5.684 |
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 | 128 | 126 | 110 | 0 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.86 | 0.00 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 0.186 | 0.000 | 0.000 | 0.233 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 54 | 71 | 47 | 46 | 43 | 445 | 79 | 0 |
N.S. |
1 | 0.42 | 0.55 | 0.37 | 0.36 | 0.34 | 3.48 | 0.62 | 0.00 |
time (sec) |
N/A | 0.279 | 0.059 | 0.118 | 0.188 | 0.246 | 0.982 | 0.309 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 117 | 209 | 36 | 0 | 114 | 0 | 93 | 0 |
N.S. |
1 | 0.91 | 1.62 | 0.28 | 0.00 | 0.88 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.280 | 1.052 | 2.202 | 0.000 | 40.320 | 0.000 | 0.282 | 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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 3566 | 158 | 121 | 29 | 30549 | 24 | 3 | 29 |
N.S. |
1 | 27.64 | 1.22 | 0.94 | 0.22 | 236.81 | 0.19 | 0.02 | 0.22 |
time (sec) |
N/A | 7.325 | 0.500 | 0.688 | 0.237 | 17.795 | 2.885 | 7.133 | 5.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 1696 | 139 | 209 | 0 | 451 | 0 | 0 | 682 |
N.S. |
1 | 13.15 | 1.08 | 1.62 | 0.00 | 3.50 | 0.00 | 0.00 | 5.29 |
time (sec) |
N/A | 2.614 | 0.728 | 4.129 | 0.000 | 0.275 | 0.000 | 0.000 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 136 | 99 | 107 | 0 | 139 | 0 | 97 | 0 |
N.S. |
1 | 1.05 | 0.77 | 0.83 | 0.00 | 1.08 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.432 | 0.115 | 1.730 | 0.000 | 0.242 | 0.000 | 0.280 | 0.000 |
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 | 129 | 0 | 113 | 118 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.372 | 0.212 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 129 | 171 | 0 | 250 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 0.00 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 0.452 | 3.871 | 0.000 | 0.281 | 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) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 0 | 114 | 105 | 24 | 0 | 0 | 3 | 24 |
N.S. |
1 | 0.00 | 0.88 | 0.81 | 0.19 | 0.00 | 0.00 | 0.02 | 0.19 |
time (sec) |
N/A | 0.000 | 0.142 | 0.151 | 0.352 | 0.000 | 0.000 | 26.962 | 5.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 0 | 114 | 105 | 24 | 0 | 0 | 3 | 24 |
N.S. |
1 | 0.00 | 0.88 | 0.81 | 0.19 | 0.00 | 0.00 | 0.02 | 0.19 |
time (sec) |
N/A | 0.000 | 0.002 | 0.319 | 0.341 | 0.000 | 0.000 | 26.751 | 0.002 |
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 | 130 | 355 | 148 | 109 | 0 | 1301 | 0 | 0 | 0 |
N.S. |
1 | 2.73 | 1.14 | 0.84 | 0.00 | 10.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.888 | 0.439 | 0.862 | 0.000 | 40.912 | 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(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 0 | 236 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 46.255 | 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 | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 571 | 113 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 4.39 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.060 | 0.354 | 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 | N/A | N/A | C | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 0 | 117 | 97 | 29 | 1268 | 0 | 0 | 29 |
N.S. |
1 | 0.00 | 0.90 | 0.75 | 0.22 | 9.75 | 0.00 | 0.00 | 0.22 |
time (sec) |
N/A | 0.000 | 0.118 | 0.160 | 0.348 | 1.031 | 0.000 | 0.000 | 5.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 0 | 117 | 97 | 29 | 1268 | 0 | 0 | 29 |
N.S. |
1 | 0.00 | 0.90 | 0.75 | 0.22 | 9.75 | 0.00 | 0.00 | 0.22 |
time (sec) |
N/A | 0.000 | 0.001 | 0.165 | 0.341 | 0.985 | 0.000 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 0 | 106 | 88 | 29 | 0 | 0 | 29 | 29 |
N.S. |
1 | 0.00 | 0.82 | 0.68 | 0.22 | 0.00 | 0.00 | 0.22 | 0.22 |
time (sec) |
N/A | 0.000 | 0.147 | 0.147 | 0.341 | 0.000 | 0.000 | 0.406 | 5.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 0 | 106 | 88 | 29 | 0 | 0 | 29 | 29 |
N.S. |
1 | 0.00 | 0.82 | 0.68 | 0.22 | 0.00 | 0.00 | 0.22 | 0.22 |
time (sec) |
N/A | 0.000 | 0.001 | 0.146 | 0.333 | 0.000 | 0.000 | 0.405 | 0.002 |
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 | 130 | 263 | 130 | 28 | 30 | 721 | 27 | 30 | 30 |
N.S. |
1 | 2.02 | 1.00 | 0.22 | 0.23 | 5.55 | 0.21 | 0.23 | 0.23 |
time (sec) |
N/A | 1.030 | 0.131 | 0.023 | 0.321 | 0.258 | 7.934 | 0.553 | 5.904 |
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 | 130 | 0 | 142 | 0 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.09 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.692 | 0.000 | 0.000 | 0.236 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 184 | 123 | 238 | 0 | 0 | 0 | 157 | 0 |
N.S. |
1 | 1.42 | 0.95 | 1.83 | 0.00 | 0.00 | 0.00 | 1.21 | 0.00 |
time (sec) |
N/A | 0.543 | 0.345 | 0.148 | 0.000 | 0.000 | 0.000 | 0.539 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 131 | 265 | 117 | 663 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 2.02 | 0.89 | 5.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.826 | 0.171 | 19.304 | 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 | A | F | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 131 | 100 | 163 | 55 | 0 | 112 | 0 | 78 | 46 |
N.S. |
1 | 0.76 | 1.24 | 0.42 | 0.00 | 0.85 | 0.00 | 0.60 | 0.35 |
time (sec) |
N/A | 0.242 | 1.329 | 0.982 | 0.000 | 0.880 | 0.000 | 0.302 | 5.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 980 | 135 | 225 | 0 | 324 | 0 | 0 | 658 |
N.S. |
1 | 7.48 | 1.03 | 1.72 | 0.00 | 2.47 | 0.00 | 0.00 | 5.02 |
time (sec) |
N/A | 1.903 | 0.605 | 6.074 | 0.000 | 0.340 | 0.000 | 0.000 | 5.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 0 | 131 | 110 | 0 | 327 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.84 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.697 | 8.061 | 0.000 | 21.212 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 0 | 131 | 110 | 0 | 334 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.84 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.061 | 101.585 | 0.000 | 116.633 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 107 | 131 | 128 | 0 | 292 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 1.00 | 0.98 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.606 | 0.330 | 12.964 | 0.000 | 1.799 | 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) | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 235 | 270 | 368 | 0 | 431 | 0 | 207 | 0 |
N.S. |
1 | 1.79 | 2.06 | 2.81 | 0.00 | 3.29 | 0.00 | 1.58 | 0.00 |
time (sec) |
N/A | 1.028 | 0.326 | 4.401 | 0.000 | 0.484 | 0.000 | 0.418 | 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 | 131 | 491 | 131 | 71 | 35 | 0 | 29 | 35 | 35 |
N.S. |
1 | 3.75 | 1.00 | 0.54 | 0.27 | 0.00 | 0.22 | 0.27 | 0.27 |
time (sec) |
N/A | 1.307 | 1.240 | 0.325 | 0.222 | 0.000 | 58.734 | 1.665 | 5.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 134 | 126 | 0 | 0 | 193 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.96 | 0.00 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.604 | 0.211 | 0.000 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 134 | 126 | 0 | 0 | 193 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.96 | 0.00 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 0.182 | 0.000 | 0.000 | 0.274 | 0.000 | 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 | 131 | 0 | 135 | 0 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.03 | 0.00 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.561 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 132 | 0 | 108 | 883 | 0 | 395 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 6.69 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.173 | 4.740 | 0.000 | 6.069 | 0.000 | 0.000 | 0.000 |