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 | 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 | 100 | 479 | 100 | 66 | 36 | 0 | 29 | 36 | 35 |
N.S. |
1 | 4.79 | 1.00 | 0.66 | 0.36 | 0.00 | 0.29 | 0.36 | 0.35 |
time (sec) |
N/A | 0.940 | 0.001 | 0.220 | 0.242 | 0.000 | 64.739 | 1.495 | 0.003 |
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 | 100 | 0 | 100 | 96 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.230 | 1.078 | 0.000 | 1.166 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 113 | 100 | 108 | 217 | 0 | 168 | 0 | 0 |
N.S. |
1 | 1.13 | 1.00 | 1.08 | 2.17 | 0.00 | 1.68 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 1.012 | 0.454 | 0.277 | 0.000 | 1.891 | 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 | 100 | 101 | 100 | 0 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.00 | 0.00 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.180 | 0.000 | 0.000 | 0.268 | 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 | 100 | 107 | 100 | 0 | 0 | 321 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.00 | 0.00 | 0.00 | 3.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.118 | 0.000 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 232 | 101 | 88 | 168 | 91 | 0 | 92 | 0 |
N.S. |
1 | 2.30 | 1.00 | 0.87 | 1.66 | 0.90 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.770 | 0.409 | 0.243 | 0.309 | 0.272 | 0.000 | 0.273 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 77 | 101 | 30 | 93 | 112 | 87 | 0 | 40 |
N.S. |
1 | 0.76 | 1.00 | 0.30 | 0.92 | 1.11 | 0.86 | 0.00 | 0.40 |
time (sec) |
N/A | 0.191 | 0.171 | 1.318 | 0.283 | 0.399 | 1.207 | 0.000 | 6.394 |
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 | 101 | 84 | 97 | 33 | 105 | 105 | 65 | 0 | 0 |
N.S. |
1 | 0.83 | 0.96 | 0.33 | 1.04 | 1.04 | 0.64 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.174 | 1.267 | 0.279 | 0.418 | 1.438 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 77 | 101 | 58 | 93 | 112 | 165 | 0 | 55 |
N.S. |
1 | 0.76 | 1.00 | 0.57 | 0.92 | 1.11 | 1.63 | 0.00 | 0.54 |
time (sec) |
N/A | 0.181 | 0.166 | 1.582 | 0.282 | 0.400 | 1.370 | 0.000 | 6.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 114 | 109 | 196 | 0 | 297 | 0 | 0 | 178 |
N.S. |
1 | 1.13 | 1.08 | 1.94 | 0.00 | 2.94 | 0.00 | 0.00 | 1.76 |
time (sec) |
N/A | 0.729 | 0.413 | 1.835 | 0.000 | 0.304 | 0.000 | 0.000 | 6.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 118 | 109 | 198 | 0 | 297 | 0 | 0 | 226 |
N.S. |
1 | 1.17 | 1.08 | 1.96 | 0.00 | 2.94 | 0.00 | 0.00 | 2.24 |
time (sec) |
N/A | 0.833 | 0.452 | 1.492 | 0.000 | 0.304 | 0.000 | 0.000 | 0.076 |
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 | 101 | 103 | 139 | 15 | 0 | 103 | 0 | 64 | 0 |
N.S. |
1 | 1.02 | 1.38 | 0.15 | 0.00 | 1.02 | 0.00 | 0.63 | 0.00 |
time (sec) |
N/A | 0.207 | 0.189 | 0.421 | 0.000 | 0.242 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 552 | 141 | 96 | 22 | 521 | 26 | 0 | 22 |
N.S. |
1 | 5.47 | 1.40 | 0.95 | 0.22 | 5.16 | 0.26 | 0.00 | 0.22 |
time (sec) |
N/A | 1.178 | 0.125 | 5.175 | 0.317 | 0.278 | 0.881 | 0.000 | 6.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 552 | 141 | 96 | 22 | 521 | 26 | 0 | 22 |
N.S. |
1 | 5.47 | 1.40 | 0.95 | 0.22 | 5.16 | 0.26 | 0.00 | 0.22 |
time (sec) |
N/A | 1.013 | 0.001 | 4.795 | 0.306 | 0.270 | 0.993 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 80 | 101 | 57 | 93 | 112 | 167 | 0 | 55 |
N.S. |
1 | 0.79 | 1.00 | 0.56 | 0.92 | 1.11 | 1.65 | 0.00 | 0.54 |
time (sec) |
N/A | 0.192 | 0.166 | 1.412 | 0.276 | 0.374 | 1.424 | 0.000 | 6.419 |
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 | 101 | 101 | 98 | 100 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.99 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.215 | 2.612 | 0.000 | 0.535 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 109 | 131 | 122 | 0 | 404 | 0 | 81 | 0 |
N.S. |
1 | 1.08 | 1.30 | 1.21 | 0.00 | 4.00 | 0.00 | 0.80 | 0.00 |
time (sec) |
N/A | 6.406 | 0.485 | 4.976 | 0.000 | 1.007 | 0.000 | 0.305 | 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 | 101 | 127 | 129 | 138 | 0 | 182 | 0 | 97 | 0 |
N.S. |
1 | 1.26 | 1.28 | 1.37 | 0.00 | 1.80 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 1.004 | 0.346 | 2.474 | 0.000 | 0.251 | 0.000 | 0.326 | 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 | 101 | 0 | 95 | 220 | 0 | 303 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 2.18 | 0.00 | 3.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.470 | 4.285 | 0.000 | 15.841 | 0.000 | 0.000 | 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 | 101 | 73 | 82 | 291 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 0.72 | 0.81 | 2.88 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.392 | 0.308 | 1.700 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 316 | 137 | 117 | 0 | 0 | 0 | 229 | 91 |
N.S. |
1 | 3.13 | 1.36 | 1.16 | 0.00 | 0.00 | 0.00 | 2.27 | 0.90 |
time (sec) |
N/A | 0.517 | 0.403 | 0.362 | 0.000 | 0.000 | 0.000 | 0.293 | 6.968 |
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 | 101 | 429 | 129 | 103 | 37 | 0 | 32 | 37 | 37 |
N.S. |
1 | 4.25 | 1.28 | 1.02 | 0.37 | 0.00 | 0.32 | 0.37 | 0.37 |
time (sec) |
N/A | 1.560 | 1.097 | 0.478 | 0.274 | 0.000 | 23.959 | 2.867 | 7.510 |
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 | 101 | 429 | 129 | 103 | 37 | 0 | 32 | 37 | 37 |
N.S. |
1 | 4.25 | 1.28 | 1.02 | 0.37 | 0.00 | 0.32 | 0.37 | 0.37 |
time (sec) |
N/A | 1.257 | 0.003 | 0.000 | 0.246 | 0.000 | 23.165 | 2.886 | 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 | 101 | 0 | 89 | 91 | 0 | 216 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.90 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.423 | 3.684 | 0.000 | 0.824 | 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 | 101 | 104 | 119 | 132 | 0 | 325 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.18 | 1.31 | 0.00 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.543 | 1.341 | 2.229 | 0.000 | 14.869 | 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 | 101 | 104 | 119 | 132 | 0 | 325 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.18 | 1.31 | 0.00 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 0.001 | 1.586 | 0.000 | 14.492 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 242 | 110 | 64 | 0 | 129 | 0 | 171 | 0 |
N.S. |
1 | 2.40 | 1.09 | 0.63 | 0.00 | 1.28 | 0.00 | 1.69 | 0.00 |
time (sec) |
N/A | 0.427 | 0.415 | 0.702 | 0.000 | 0.260 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 425 | 101 | 67 | 30 | 1579 | 0 | 30 | 30 |
N.S. |
1 | 4.21 | 1.00 | 0.66 | 0.30 | 15.63 | 0.00 | 0.30 | 0.30 |
time (sec) |
N/A | 1.594 | 0.264 | 237.794 | 0.309 | 7.699 | 0.000 | 0.314 | 6.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 425 | 101 | 67 | 30 | 1579 | 0 | 30 | 30 |
N.S. |
1 | 4.21 | 1.00 | 0.66 | 0.30 | 15.63 | 0.00 | 0.30 | 0.30 |
time (sec) |
N/A | 1.537 | 0.001 | 254.617 | 0.298 | 7.646 | 0.000 | 0.327 | 0.003 |
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 | 101 | 325 | 100 | 63 | 35 | 0 | 26 | 35 | 32 |
N.S. |
1 | 3.22 | 0.99 | 0.62 | 0.35 | 0.00 | 0.26 | 0.35 | 0.32 |
time (sec) |
N/A | 0.791 | 1.196 | 0.179 | 0.227 | 0.000 | 17.213 | 0.295 | 6.594 |
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 | 101 | 0 | 92 | 114 | 0 | 397 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.91 | 1.13 | 0.00 | 3.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.143 | 2.674 | 0.000 | 0.434 | 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 | 101 | 0 | 86 | 85 | 24 | 302 | 0 | 0 | 24 |
N.S. |
1 | 0.00 | 0.85 | 0.84 | 0.24 | 2.99 | 0.00 | 0.00 | 0.24 |
time (sec) |
N/A | 0.000 | 0.095 | 0.055 | 0.338 | 0.299 | 0.000 | 0.000 | 6.766 |
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 | 101 | 0 | 86 | 85 | 24 | 302 | 0 | 0 | 24 |
N.S. |
1 | 0.00 | 0.85 | 0.84 | 0.24 | 2.99 | 0.00 | 0.00 | 0.24 |
time (sec) |
N/A | 0.000 | 0.001 | 0.048 | 0.336 | 0.306 | 0.000 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 0 | 92 | 62 | 0 | 92 | 17 | 0 | 0 |
N.S. |
1 | 0.00 | 0.91 | 0.61 | 0.00 | 0.91 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.336 | 0.062 | 0.000 | 0.459 | 9.498 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | A | A | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 161 | 109 | 0 | 0 | 90 | 32 | 0 | 0 |
N.S. |
1 | 1.59 | 1.08 | 0.00 | 0.00 | 0.89 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.623 | 0.254 | 0.000 | 0.000 | 0.567 | 20.104 | 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 | 101 | 0 | 93 | 0 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 0.00 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.383 | 0.000 | 0.000 | 0.794 | 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 | 102 | 87 | 97 | 33 | 121 | 94 | 34 | 0 | 0 |
N.S. |
1 | 0.85 | 0.95 | 0.32 | 1.19 | 0.92 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.194 | 1.122 | 0.287 | 0.555 | 1.118 | 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 | 102 | 89 | 98 | 17 | 121 | 94 | 31 | 0 | 0 |
N.S. |
1 | 0.87 | 0.96 | 0.17 | 1.19 | 0.92 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.163 | 1.036 | 0.269 | 0.279 | 1.005 | 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 | 102 | 87 | 97 | 17 | 121 | 94 | 31 | 0 | 0 |
N.S. |
1 | 0.85 | 0.95 | 0.17 | 1.19 | 0.92 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.166 | 1.069 | 0.284 | 0.258 | 1.084 | 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 | 102 | 101 | 102 | 100 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.00 | 0.98 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 0.208 | 3.058 | 0.000 | 0.619 | 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 | 102 | 0 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.659 | 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 | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 116 | 95 | 76 | 146 | 91 | 0 | 87 | 231 |
N.S. |
1 | 1.14 | 0.93 | 0.75 | 1.43 | 0.89 | 0.00 | 0.85 | 2.26 |
time (sec) |
N/A | 0.219 | 0.151 | 2.346 | 0.270 | 0.289 | 0.000 | 0.271 | 7.118 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 2422 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 23.75 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 9.545 | 0.245 | 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(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 0 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.922 | 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(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 559 | 139 | 65 | 37 | 0 | 31 | 37 | 37 |
N.S. |
1 | 5.48 | 1.36 | 0.64 | 0.36 | 0.00 | 0.30 | 0.36 | 0.36 |
time (sec) |
N/A | 1.535 | 0.804 | 0.229 | 0.237 | 0.000 | 7.634 | 3.527 | 6.946 |
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 | 102 | 559 | 139 | 65 | 37 | 0 | 31 | 37 | 37 |
N.S. |
1 | 5.48 | 1.36 | 0.64 | 0.36 | 0.00 | 0.30 | 0.36 | 0.36 |
time (sec) |
N/A | 1.265 | 0.002 | 0.167 | 0.233 | 0.000 | 8.164 | 3.631 | 0.003 |
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 | 102 | 437 | 130 | 104 | 37 | 0 | 32 | 37 | 40 |
N.S. |
1 | 4.28 | 1.27 | 1.02 | 0.36 | 0.00 | 0.31 | 0.36 | 0.39 |
time (sec) |
N/A | 1.567 | 1.065 | 0.453 | 0.251 | 0.000 | 24.564 | 2.897 | 7.402 |
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 | 102 | 437 | 130 | 104 | 37 | 0 | 32 | 37 | 40 |
N.S. |
1 | 4.28 | 1.27 | 1.02 | 0.36 | 0.00 | 0.31 | 0.36 | 0.39 |
time (sec) |
N/A | 1.355 | 0.004 | 0.000 | 0.229 | 0.000 | 24.503 | 2.878 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 288 | 102 | 119 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 2.82 | 1.00 | 1.17 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.119 | 1.842 | 4.956 | 0.000 | 4.490 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 389 | 102 | 106 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 3.81 | 1.00 | 1.04 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.223 | 1.857 | 14.645 | 0.000 | 8.378 | 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 | 102 | 441 | 102 | 69 | 26 | 0 | 22 | 26 | 26 |
N.S. |
1 | 4.32 | 1.00 | 0.68 | 0.25 | 0.00 | 0.22 | 0.25 | 0.25 |
time (sec) |
N/A | 0.749 | 0.505 | 0.166 | 0.218 | 0.000 | 7.689 | 1.538 | 6.172 |
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 | 102 | 441 | 102 | 69 | 26 | 0 | 22 | 26 | 26 |
N.S. |
1 | 4.32 | 1.00 | 0.68 | 0.25 | 0.00 | 0.22 | 0.25 | 0.25 |
time (sec) |
N/A | 0.538 | 0.001 | 0.113 | 0.220 | 0.000 | 7.843 | 1.578 | 0.003 |
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 | 102 | 1189 | 123 | 90 | 43 | 0 | 34 | 3 | 43 |
N.S. |
1 | 11.66 | 1.21 | 0.88 | 0.42 | 0.00 | 0.33 | 0.03 | 0.42 |
time (sec) |
N/A | 3.190 | 16.298 | 0.526 | 0.234 | 0.000 | 72.704 | 19.289 | 6.927 |
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 | 102 | 1189 | 123 | 90 | 43 | 0 | 34 | 3 | 43 |
N.S. |
1 | 11.66 | 1.21 | 0.88 | 0.42 | 0.00 | 0.33 | 0.03 | 0.42 |
time (sec) |
N/A | 2.456 | 0.043 | 0.389 | 0.262 | 0.000 | 69.967 | 19.126 | 0.003 |
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 | 102 | 0 | 64 | 0 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.63 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.077 | 0.000 | 0.000 | 0.270 | 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 | 102 | 0 | 102 | 17 | 19 | 7672 | 17 | 19 | 19 |
N.S. |
1 | 0.00 | 1.00 | 0.17 | 0.19 | 75.22 | 0.17 | 0.19 | 0.19 |
time (sec) |
N/A | 0.000 | 0.588 | 0.050 | 0.339 | 0.982 | 0.845 | 0.412 | 6.189 |
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 | 102 | 0 | 102 | 17 | 19 | 7672 | 17 | 19 | 19 |
N.S. |
1 | 0.00 | 1.00 | 0.17 | 0.19 | 75.22 | 0.17 | 0.19 | 0.19 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.311 | 1.026 | 0.873 | 0.400 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 93 | 103 | 694 | 0 | 383 | 0 | 0 | 220 |
N.S. |
1 | 0.90 | 1.00 | 6.74 | 0.00 | 3.72 | 0.00 | 0.00 | 2.14 |
time (sec) |
N/A | 0.708 | 1.284 | 0.609 | 0.000 | 0.292 | 0.000 | 0.000 | 0.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 103 | 406 | 103 | 594 | 0 | 403 | 0 | 0 | 505 |
N.S. |
1 | 3.94 | 1.00 | 5.77 | 0.00 | 3.91 | 0.00 | 0.00 | 4.90 |
time (sec) |
N/A | 0.907 | 1.589 | 3.055 | 0.000 | 0.286 | 0.000 | 0.000 | 6.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 406 | 103 | 1501 | 0 | 403 | 0 | 0 | 509 |
N.S. |
1 | 3.94 | 1.00 | 14.57 | 0.00 | 3.91 | 0.00 | 0.00 | 4.94 |
time (sec) |
N/A | 1.009 | 1.582 | 1.386 | 0.000 | 0.282 | 0.000 | 0.000 | 0.096 |
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 | 103 | 86 | 97 | 56 | 106 | 112 | 70 | 0 | 0 |
N.S. |
1 | 0.83 | 0.94 | 0.54 | 1.03 | 1.09 | 0.68 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.207 | 1.542 | 0.276 | 0.508 | 1.523 | 0.000 | 0.000 |
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 | 103 | 139 | 98 | 126 | 189 | 234 | 39 | 0 | 0 |
N.S. |
1 | 1.35 | 0.95 | 1.22 | 1.83 | 2.27 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 0.375 | 0.298 | 0.291 | 0.262 | 3.897 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 120 | 44 | 87 | 0 | 516 | 0 | 203 | 0 |
N.S. |
1 | 1.17 | 0.43 | 0.84 | 0.00 | 5.01 | 0.00 | 1.97 | 0.00 |
time (sec) |
N/A | 0.347 | 10.018 | 0.351 | 0.000 | 57.020 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 327 | 103 | 73 | 30 | 0 | 0 | 30 | 30 |
N.S. |
1 | 3.17 | 1.00 | 0.71 | 0.29 | 0.00 | 0.00 | 0.29 | 0.29 |
time (sec) |
N/A | 0.950 | 0.213 | 151.257 | 0.301 | 0.000 | 0.000 | 0.303 | 6.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 327 | 103 | 73 | 30 | 0 | 0 | 30 | 30 |
N.S. |
1 | 3.17 | 1.00 | 0.71 | 0.29 | 0.00 | 0.00 | 0.29 | 0.29 |
time (sec) |
N/A | 0.776 | 0.001 | 145.802 | 0.313 | 0.000 | 0.000 | 0.298 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 300 | 103 | 626 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 2.91 | 1.00 | 6.08 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.176 | 10.448 | 27.873 | 0.000 | 2.191 | 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 | 103 | 499 | 103 | 66 | 39 | 0 | 29 | 39 | 36 |
N.S. |
1 | 4.84 | 1.00 | 0.64 | 0.38 | 0.00 | 0.28 | 0.38 | 0.35 |
time (sec) |
N/A | 1.351 | 0.836 | 0.277 | 0.252 | 0.000 | 58.397 | 1.618 | 6.413 |
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 | 103 | 499 | 103 | 70 | 35 | 0 | 31 | 35 | 37 |
N.S. |
1 | 4.84 | 1.00 | 0.68 | 0.34 | 0.00 | 0.30 | 0.34 | 0.36 |
time (sec) |
N/A | 1.246 | 0.854 | 0.284 | 0.234 | 0.000 | 63.615 | 0.945 | 6.364 |
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 | 103 | 135 | 103 | 0 | 0 | 335 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 1.00 | 0.00 | 0.00 | 3.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.162 | 0.000 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 104 | 115 | 97 | 89 | 111 | 93 | 34 | 90 | 124 |
N.S. |
1 | 1.11 | 0.93 | 0.86 | 1.07 | 0.89 | 0.33 | 0.87 | 1.19 |
time (sec) |
N/A | 0.216 | 0.173 | 1.799 | 0.273 | 0.305 | 3.725 | 0.284 | 6.328 |
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 | 104 | 89 | 99 | 33 | 121 | 96 | 32 | 0 | 0 |
N.S. |
1 | 0.86 | 0.95 | 0.32 | 1.16 | 0.92 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.161 | 0.996 | 0.279 | 0.352 | 1.076 | 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 | 104 | 97 | 137 | 33 | 0 | 99 | 0 | 77 | 29 |
N.S. |
1 | 0.93 | 1.32 | 0.32 | 0.00 | 0.95 | 0.00 | 0.74 | 0.28 |
time (sec) |
N/A | 0.230 | 0.520 | 2.225 | 0.000 | 0.470 | 0.000 | 0.279 | 6.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 104 | 115 | 97 | 96 | 146 | 93 | 68 | 90 | 231 |
N.S. |
1 | 1.11 | 0.93 | 0.92 | 1.40 | 0.89 | 0.65 | 0.87 | 2.22 |
time (sec) |
N/A | 0.223 | 0.156 | 1.607 | 0.287 | 0.431 | 145.351 | 0.264 | 6.698 |
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 | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 437 | 75 | 72 | 0 | 207 | 0 | 0 | 0 |
N.S. |
1 | 4.20 | 0.72 | 0.69 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.014 | 15.278 | 1.103 | 0.000 | 0.477 | 0.000 | 0.000 | 0.000 |
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 | 104 | 0 | 104 | 119 | 0 | 146 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.14 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.548 | 4.237 | 0.000 | 1.944 | 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 | 104 | 46 | 104 | 115 | 0 | 565 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 1.00 | 1.11 | 0.00 | 5.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 0.359 | 0.565 | 0.000 | 34.113 | 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 | 104 | 154 | 124 | 102 | 0 | 0 | 0 | 192 | 60 |
N.S. |
1 | 1.48 | 1.19 | 0.98 | 0.00 | 0.00 | 0.00 | 1.85 | 0.58 |
time (sec) |
N/A | 0.359 | 4.484 | 0.436 | 0.000 | 0.000 | 0.000 | 0.304 | 7.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 124 | 131 | 102 | 0 | 0 | 0 | 192 | 60 |
N.S. |
1 | 1.19 | 1.26 | 0.98 | 0.00 | 0.00 | 0.00 | 1.85 | 0.58 |
time (sec) |
N/A | 0.279 | 9.685 | 0.278 | 0.000 | 0.000 | 0.000 | 0.301 | 6.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 124 | 123 | 97 | 0 | 0 | 0 | 192 | 0 |
N.S. |
1 | 1.19 | 1.18 | 0.93 | 0.00 | 0.00 | 0.00 | 1.85 | 0.00 |
time (sec) |
N/A | 0.295 | 4.257 | 0.298 | 0.000 | 0.000 | 0.000 | 0.271 | 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 | 104 | 501 | 141 | 68 | 30 | 0 | 26 | 30 | 30 |
N.S. |
1 | 4.82 | 1.36 | 0.65 | 0.29 | 0.00 | 0.25 | 0.29 | 0.29 |
time (sec) |
N/A | 0.883 | 0.496 | 0.326 | 0.230 | 0.000 | 1.925 | 3.642 | 6.566 |
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 | 104 | 501 | 141 | 68 | 30 | 0 | 26 | 30 | 30 |
N.S. |
1 | 4.82 | 1.36 | 0.65 | 0.29 | 0.00 | 0.25 | 0.29 | 0.29 |
time (sec) |
N/A | 0.674 | 0.004 | 0.281 | 0.235 | 0.000 | 1.984 | 3.393 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 107 | 104 | 119 | 115 | 0 | 139 | 0 | 60 |
N.S. |
1 | 1.03 | 1.00 | 1.14 | 1.11 | 0.00 | 1.34 | 0.00 | 0.58 |
time (sec) |
N/A | 0.222 | 0.381 | 0.451 | 0.279 | 0.000 | 1.145 | 0.000 | 6.837 |
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 | 104 | 0 | 95 | 131 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.91 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.861 | 1.060 | 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 | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 104 | 115 | 97 | 113 | 111 | 93 | 32 | 90 | 134 |
N.S. |
1 | 1.11 | 0.93 | 1.09 | 1.07 | 0.89 | 0.31 | 0.87 | 1.29 |
time (sec) |
N/A | 0.217 | 0.169 | 4.797 | 0.272 | 0.281 | 7.124 | 0.278 | 6.462 |
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 | 104 | 75 | 98 | 33 | 94 | 94 | 34 | 0 | 0 |
N.S. |
1 | 0.72 | 0.94 | 0.32 | 0.90 | 0.90 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.758 | 2.426 | 0.277 | 0.280 | 0.716 | 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 | 104 | 75 | 100 | 33 | 94 | 94 | 36 | 0 | 0 |
N.S. |
1 | 0.72 | 0.96 | 0.32 | 0.90 | 0.90 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.497 | 1.883 | 0.279 | 0.274 | 0.658 | 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 | 104 | 75 | 100 | 33 | 94 | 94 | 34 | 0 | 0 |
N.S. |
1 | 0.72 | 0.96 | 0.32 | 0.90 | 0.90 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 0.469 | 2.133 | 0.278 | 0.282 | 0.616 | 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 | 104 | 76 | 100 | 17 | 94 | 94 | 29 | 0 | 0 |
N.S. |
1 | 0.73 | 0.96 | 0.16 | 0.90 | 0.90 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 0.730 | 2.391 | 0.268 | 0.277 | 0.665 | 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 | 104 | 76 | 98 | 17 | 94 | 94 | 31 | 0 | 0 |
N.S. |
1 | 0.73 | 0.94 | 0.16 | 0.90 | 0.90 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.490 | 1.853 | 0.274 | 0.260 | 0.584 | 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 | 104 | 75 | 98 | 17 | 94 | 94 | 31 | 0 | 0 |
N.S. |
1 | 0.72 | 0.94 | 0.16 | 0.90 | 0.90 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 0.497 | 2.199 | 0.281 | 0.267 | 0.612 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 0 | 0 | 119 | 0 | 299 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.14 | 0.00 | 2.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 13.352 | 0.000 | 81.972 | 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 | 104 | 83 | 121 | 33 | 0 | 99 | 0 | 63 | 33 |
N.S. |
1 | 0.80 | 1.16 | 0.32 | 0.00 | 0.95 | 0.00 | 0.61 | 0.32 |
time (sec) |
N/A | 0.218 | 5.612 | 2.691 | 0.000 | 0.435 | 0.000 | 0.271 | 6.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 509 | 104 | 71 | 28 | 0 | 0 | 28 | 28 |
N.S. |
1 | 4.89 | 1.00 | 0.68 | 0.27 | 0.00 | 0.00 | 0.27 | 0.27 |
time (sec) |
N/A | 0.971 | 0.210 | 201.343 | 0.317 | 0.000 | 0.000 | 0.287 | 6.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 509 | 104 | 71 | 28 | 0 | 0 | 28 | 28 |
N.S. |
1 | 4.89 | 1.00 | 0.68 | 0.27 | 0.00 | 0.00 | 0.27 | 0.27 |
time (sec) |
N/A | 0.831 | 0.001 | 187.869 | 0.317 | 0.000 | 0.000 | 0.293 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 0 | 106 | 146 | 0 | 1157 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.02 | 1.40 | 0.00 | 11.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.361 | 24.295 | 0.000 | 3.178 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 0 | 104 | 122 | 0 | 467 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.17 | 0.00 | 4.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.624 | 31.770 | 0.000 | 83.351 | 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 | 104 | 109 | 104 | 104 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.00 | 1.00 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.552 | 0.222 | 2.541 | 0.000 | 0.536 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 139 | 46 | 55 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 0.44 | 0.53 | 0.00 | 2.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.534 | 0.333 | 1.114 | 0.000 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 96 | 124 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.92 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.924 | 0.513 | 0.471 | 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 | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 0 | 71 | 0 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.68 | 0.00 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.243 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |