Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 127 | 135 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.05 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 6.670 | 1.334 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 175 | 96 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.60 | 1.37 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 7.752 | 1.349 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 207 | 99 | 271 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.52 | 1.42 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 8.482 | 1.334 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 247 | 104 | 295 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.47 | 1.33 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 8.611 | 1.336 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 283 | 109 | 319 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.43 | 1.26 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 8.835 | 4.865 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 283 | 113 | 239 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.45 | 0.94 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 8.770 | 1.540 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 247 | 108 | 234 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.49 | 1.05 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 8.605 | 1.332 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 209 | 103 | 229 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.54 | 1.21 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 7.530 | 1.330 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 175 | 98 | 224 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.61 | 1.40 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 7.358 | 1.325 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 137 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.73 | 1.72 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 7.538 | 1.372 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 171 | 94 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.59 | 1.39 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 7.371 | 1.302 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 204 | 99 | 228 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.52 | 1.19 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 8.043 | 1.322 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 236 | 103 | 295 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.46 | 1.33 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 8.412 | 1.328 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 275 | 108 | 319 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.43 | 1.27 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.324 | 8.650 | 4.447 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 173 | 101 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.64 | 0.95 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 3.337 | 1.356 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 137 | 93 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.73 | 1.14 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 2.651 | 1.345 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 103 | 88 | 140 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.90 | 1.43 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 1.014 | 1.344 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 50 | 54 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.61 | 1.74 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 1.107 | 1.302 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 70 | 92 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.14 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 2.685 | 1.311 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 2.790 | 1.323 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 173 | 96 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.61 | 1.54 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.249 | 3.325 | 1.383 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 211 | 106 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.55 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 6.782 | 1.363 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 175 | 101 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.63 | 0.94 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.237 | 6.161 | 1.349 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 96 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 1.12 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 2.915 | 1.334 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 99 | 88 | 140 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.90 | 1.43 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 2.783 | 1.328 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 103 | 88 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.90 | 1.38 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 5.709 | 1.319 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 6.228 | 1.324 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 175 | 94 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.59 | 1.52 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.237 | 6.597 | 1.358 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 211 | 101 | 267 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.53 | 1.40 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 6.909 | 1.319 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 283 | 113 | 165 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.45 | 0.66 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 8.399 | 1.357 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 247 | 111 | 160 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.51 | 0.73 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 7.939 | 1.341 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 211 | 103 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.54 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 6.560 | 1.352 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 171 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.61 | 0.94 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 3.071 | 1.354 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 96 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 1.12 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 3.294 | 1.353 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 93 | 140 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.72 | 1.09 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 5.479 | 1.319 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 7.299 | 1.330 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 175 | 94 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.59 | 1.52 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.237 | 7.661 | 1.393 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 211 | 99 | 267 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.52 | 1.40 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 7.861 | 1.333 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 247 | 106 | 291 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.48 | 1.31 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 7.973 | 1.317 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 283 | 111 | 315 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.45 | 1.27 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 8.729 | 1.381 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 55 | 50 | 0 | 8 | 65 | 0 | 0 |
N.S. |
1 | 1.00 | 4.58 | 4.17 | 0.00 | 0.67 | 5.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 2.630 | 1.302 | 0.000 | 0.061 | 11.640 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 74 | 29 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.62 | 1.81 | 0.00 | 0.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.140 | 3.052 | 1.308 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 67 | 33 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.79 | 1.38 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 31.088 | 1.333 | 0.000 | 0.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 65 | 19 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.61 | 1.06 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 2.983 | 1.342 | 0.000 | 0.063 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 78 | 21 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.33 | 1.17 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.139 | 2.719 | 1.339 | 0.000 | 0.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 68 | 21 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.72 | 0.84 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.140 | 31.101 | 1.337 | 0.000 | 0.062 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 65 | 16 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.83 | 0.70 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 3.503 | 1.340 | 0.000 | 0.064 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 67 | 55 | 0 | 8 | 66 | 0 | 0 |
N.S. |
1 | 1.00 | 4.79 | 3.93 | 0.00 | 0.57 | 4.71 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 1.191 | 1.347 | 0.000 | 0.069 | 11.815 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 59 | 44 | 0 | 8 | 65 | 0 | 0 |
N.S. |
1 | 1.00 | 4.92 | 3.67 | 0.00 | 0.67 | 5.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.132 | 0.651 | 4.511 | 0.000 | 0.063 | 11.773 | 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 | 57 | 32 | 63 | 65 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 1.11 | 1.14 | 0.00 | 0.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 2.034 | 1.367 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 72 | 72 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.76 | 1.76 | 0.00 | 0.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 2.300 | 4.507 | 0.000 | 0.067 | 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 | 92 | 44 | 75 | 45 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.82 | 0.49 | 0.00 | 0.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 2.779 | 1.323 | 0.000 | 0.064 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 72 | 68 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.76 | 1.66 | 0.00 | 0.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.719 | 1.340 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 75 | 53 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.32 | 0.93 | 0.00 | 0.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 1.469 | 4.429 | 0.000 | 0.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 51 | 69 | 51 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 1.21 | 0.89 | 0.00 | 0.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 1.490 | 4.486 | 0.000 | 0.062 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 67 | 28 | 0 | 8 | 66 | 0 | 0 |
N.S. |
1 | 1.00 | 4.79 | 2.00 | 0.00 | 0.57 | 4.71 | 0.00 | 0.00 |
time (sec) |
N/A | 0.139 | 0.574 | 4.491 | 0.000 | 0.070 | 11.924 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 201 | 565 | 0 | 812 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 2.77 | 0.00 | 3.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 15.723 | 4.550 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 437 | 475 | 449 | 878 | 0 | 1403 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.03 | 2.01 | 0.00 | 3.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.624 | 23.388 | 2.638 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 173 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.62 | 0.95 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 3.843 | 1.366 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 137 | 93 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.73 | 1.14 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 3.303 | 1.362 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 101 | 88 | 140 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.92 | 1.46 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 2.703 | 1.356 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 129 | 52 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.16 | 1.68 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.145 | 1.668 | 1.332 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 74 | 36 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.55 | 1.24 | 0.00 | 0.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 1.287 | 4.510 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 62 | 134 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 2.13 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 2.656 | 4.498 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 137 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.73 | 1.72 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 2.602 | 1.310 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 173 | 96 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.61 | 1.54 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 3.517 | 1.380 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 173 | 98 | 145 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.61 | 0.91 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 6.706 | 1.338 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 137 | 93 | 140 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.72 | 1.09 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 5.497 | 1.392 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 103 | 88 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.90 | 1.38 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 5.595 | 1.331 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 61 | 92 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.14 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 2.620 | 1.326 | 0.000 | 0.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 102 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 2.14 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 3.004 | 1.346 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 126 | 135 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.05 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 6.357 | 1.336 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 173 | 94 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.59 | 1.37 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 6.258 | 1.338 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 209 | 99 | 271 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.52 | 1.42 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 6.680 | 1.392 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 211 | 103 | 229 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.55 | 1.22 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 7.952 | 1.332 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 175 | 98 | 224 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.63 | 1.44 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 7.754 | 1.345 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 7.256 | 1.378 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.221 | 6.164 | 1.333 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 2.770 | 1.341 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 135 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 2.621 | 1.395 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 175 | 93 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.60 | 1.40 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 6.312 | 1.334 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 211 | 98 | 228 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.52 | 1.22 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 7.811 | 1.328 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 247 | 103 | 295 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.47 | 1.35 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 8.270 | 1.332 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 120 | 157 | 0 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.40 | 1.83 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 1.355 | 1.410 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 28 | 16 | 0 | 8 | 66 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 0.89 | 0.00 | 0.44 | 3.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.141 | 0.634 | 1.380 | 0.000 | 0.071 | 12.198 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 28 | 39 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.00 | 2.79 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.002 | 4.573 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 28 | 41 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.00 | 2.93 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 10.018 | 1.400 | 0.000 | 0.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 74 | 29 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.62 | 1.81 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.137 | 1.561 | 6.133 | 0.000 | 0.064 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 74 | 38 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.96 | 1.52 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.012 | 4.609 | 0.000 | 0.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 68 | 50 | 0 | 8 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.72 | 2.00 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 31.071 | 1.409 | 0.000 | 0.064 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 206 | 111 | 150 | 0 | 83 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.60 | 0.81 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 6.523 | 4.556 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 170 | 106 | 145 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.68 | 0.94 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 5.840 | 1.346 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 127 | 99 | 140 | 0 | 71 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.81 | 1.15 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 5.755 | 1.342 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 92 | 83 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.59 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 2.609 | 1.338 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 63 | 134 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 2.16 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 2.630 | 1.351 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 135 | 118 | 134 | 0 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.94 | 1.07 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 5.587 | 1.370 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 173 | 94 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.59 | 1.39 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 6.098 | 4.541 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 209 | 99 | 271 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.52 | 1.43 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 6.571 | 1.365 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 244 | 116 | 155 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.53 | 0.71 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.296 | 8.293 | 4.558 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 208 | 111 | 150 | 0 | 83 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.59 | 0.80 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 8.115 | 1.349 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |