Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 193 | 204 | 124 | 0 | 1645 | 0 | 174 | 255 |
N.S. |
1 | 1.45 | 1.53 | 0.93 | 0.00 | 12.37 | 0.00 | 1.31 | 1.92 |
time (sec) |
N/A | 0.540 | 0.243 | 1.435 | 0.000 | 0.464 | 0.000 | 0.414 | 1.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 54 | 31 | 167 | 216 | 0 | 50 | 42 |
N.S. |
1 | 1.00 | 2.84 | 1.63 | 8.79 | 11.37 | 0.00 | 2.63 | 2.21 |
time (sec) |
N/A | 0.022 | 0.086 | 1.389 | 0.272 | 0.334 | 0.000 | 0.415 | 1.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 117 | 160 | 289 | 1268 | 3813 | 251 | 159 |
N.S. | 1 | 1.00 | 1.12 | 1.54 | 2.78 | 12.19 | 36.66 | 2.41 | 1.53 |
time (sec) |
N/A | 0.175 | 0.540 | 1.467 | 0.302 | 0.386 | 1.701 | 0.420 | 1.699 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 40 | 55 | 167 | 216 | 0 | 48 | 42 |
N.S. |
1 | 1.00 | 2.11 | 2.89 | 8.79 | 11.37 | 0.00 | 2.53 | 2.21 |
time (sec) |
N/A | 0.023 | 0.041 | 1.377 | 0.284 | 0.392 | 0.000 | 0.418 | 1.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 119 | 181 | 292 | 1269 | 3840 | 251 | 159 |
N.S. | 1 | 1.00 | 1.14 | 1.74 | 2.81 | 12.20 | 36.92 | 2.41 | 1.53 |
time (sec) |
N/A | 0.137 | 0.752 | 1.427 | 0.301 | 0.383 | 1.722 | 0.420 | 1.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 79 | 92 | 0 | 427 | 678 | 60 | 157 |
N.S. |
1 | 1.00 | 1.10 | 1.28 | 0.00 | 5.93 | 9.42 | 0.83 | 2.18 |
time (sec) |
N/A | 0.063 | 0.144 | 0.911 | 0.000 | 0.390 | 124.062 | 0.403 | 1.686 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 73 | 145 | 83 | 334 | 0 | 101 | 81 |
N.S. |
1 | 1.00 | 0.72 | 1.42 | 0.81 | 3.27 | 0.00 | 0.99 | 0.79 |
time (sec) |
N/A | 0.114 | 0.180 | 1.081 | 0.264 | 0.388 | 0.000 | 0.409 | 1.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 180 | 166 | 0 | 1861 | 0 | 163 | 261 |
N.S. |
1 | 1.00 | 1.31 | 1.21 | 0.00 | 13.58 | 0.00 | 1.19 | 1.91 |
time (sec) |
N/A | 0.148 | 0.781 | 1.112 | 0.000 | 0.391 | 0.000 | 0.414 | 1.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 73 | 146 | 84 | 334 | 0 | 102 | 81 |
N.S. |
1 | 1.00 | 0.72 | 1.43 | 0.82 | 3.27 | 0.00 | 1.00 | 0.79 |
time (sec) |
N/A | 0.116 | 0.174 | 1.004 | 0.275 | 0.375 | 0.000 | 0.406 | 1.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 179 | 168 | 0 | 1847 | 0 | 159 | 260 |
N.S. |
1 | 1.00 | 1.47 | 1.38 | 0.00 | 15.14 | 0.00 | 1.30 | 2.13 |
time (sec) |
N/A | 0.153 | 0.698 | 1.039 | 0.000 | 0.382 | 0.000 | 0.409 | 1.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 128 | 249 | 153 | 1158 | 0 | 199 | 127 |
N.S. |
1 | 1.00 | 0.66 | 1.28 | 0.79 | 5.97 | 0.00 | 1.03 | 0.65 |
time (sec) |
N/A | 0.241 | 0.437 | 1.514 | 0.269 | 0.410 | 0.000 | 0.412 | 1.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 167 | 176 | 0 | 1829 | 0 | 163 | 259 |
N.S. |
1 | 1.00 | 1.22 | 1.28 | 0.00 | 13.35 | 0.00 | 1.19 | 1.89 |
time (sec) |
N/A | 0.131 | 0.809 | 1.079 | 0.000 | 0.436 | 0.000 | 0.408 | 1.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 126 | 250 | 150 | 1162 | 0 | 202 | 129 |
N.S. |
1 | 1.00 | 0.65 | 1.29 | 0.77 | 5.99 | 0.00 | 1.04 | 0.66 |
time (sec) |
N/A | 0.218 | 0.423 | 1.082 | 0.275 | 0.453 | 0.000 | 0.424 | 1.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 325 | 266 | 0 | 4935 | 0 | 325 | 371 |
N.S. |
1 | 1.00 | 1.53 | 1.25 | 0.00 | 23.28 | 0.00 | 1.53 | 1.75 |
time (sec) |
N/A | 0.299 | 1.515 | 1.157 | 0.000 | 0.460 | 0.000 | 0.414 | 2.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 60 | 108 | 107 | 376 | 962 | 128 | 98 |
N.S. | 1 | 1.00 | 0.65 | 1.16 | 1.15 | 4.04 | 10.34 | 1.38 | 1.05 |
time (sec) |
N/A | 0.145 | 0.162 | 1.362 | 0.274 | 0.392 | 0.665 | 0.409 | 1.931 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 222 | 128 | 0 | 1819 | 0 | 179 | 397 |
N.S. |
1 | 1.00 | 1.35 | 0.78 | 0.00 | 11.02 | 0.00 | 1.08 | 2.41 |
time (sec) |
N/A | 0.215 | 0.744 | 1.466 | 0.000 | 0.468 | 0.000 | 0.418 | 1.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 176 | 177 | 241 | 1655 | 0 | 238 | 127 |
N.S. |
1 | 1.00 | 0.82 | 0.82 | 1.12 | 7.70 | 0.00 | 1.11 | 0.59 |
time (sec) |
N/A | 0.403 | 0.720 | 1.476 | 0.283 | 0.417 | 0.000 | 0.411 | 1.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 264 | 130 | 0 | 1805 | 0 | 179 | 397 |
N.S. |
1 | 1.00 | 1.62 | 0.80 | 0.00 | 11.07 | 0.00 | 1.10 | 2.44 |
time (sec) |
N/A | 0.225 | 0.640 | 1.469 | 0.000 | 0.363 | 0.000 | 0.433 | 1.822 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 174 | 190 | 244 | 1726 | 0 | 232 | 132 |
N.S. |
1 | 1.00 | 0.85 | 0.93 | 1.19 | 8.42 | 0.00 | 1.13 | 0.64 |
time (sec) |
N/A | 0.462 | 1.422 | 1.477 | 0.284 | 0.383 | 0.000 | 0.411 | 1.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 474 | 208 | 0 | 5061 | 0 | 310 | 592 |
N.S. |
1 | 1.00 | 1.82 | 0.80 | 0.00 | 19.39 | 0.00 | 1.19 | 2.27 |
time (sec) |
N/A | 0.631 | 2.700 | 1.555 | 0.000 | 0.428 | 0.000 | 0.417 | 1.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 183 | 178 | 240 | 1661 | 0 | 240 | 127 |
N.S. |
1 | 1.00 | 0.85 | 0.83 | 1.12 | 7.73 | 0.00 | 1.12 | 0.59 |
time (sec) |
N/A | 0.363 | 0.898 | 1.550 | 0.302 | 0.406 | 0.000 | 0.418 | 1.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 481 | 198 | 0 | 5031 | 0 | 310 | 590 |
N.S. |
1 | 1.00 | 1.86 | 0.76 | 0.00 | 19.42 | 0.00 | 1.20 | 2.28 |
time (sec) |
N/A | 0.618 | 1.491 | 1.566 | 0.000 | 0.393 | 0.000 | 0.418 | 1.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 314 | 314 | 366 | 276 | 384 | 4001 | 0 | 384 | 173 |
N.S. |
1 | 1.00 | 1.17 | 0.88 | 1.22 | 12.74 | 0.00 | 1.22 | 0.55 |
time (sec) |
N/A | 1.118 | 1.021 | 1.561 | 0.301 | 0.410 | 0.000 | 0.415 | 1.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 78 | 126 | 0 | 233 | 367 | 80 | 178 |
N.S. |
1 | 1.00 | 0.98 | 1.58 | 0.00 | 2.91 | 4.59 | 1.00 | 2.22 |
time (sec) |
N/A | 0.053 | 0.166 | 1.239 | 0.000 | 0.409 | 29.499 | 0.427 | 3.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 155 | 115 | 0 | 679 | 0 | 83 | 168 |
N.S. |
1 | 1.00 | 1.89 | 1.40 | 0.00 | 8.28 | 0.00 | 1.01 | 2.05 |
time (sec) |
N/A | 0.051 | 0.325 | 1.875 | 0.000 | 0.384 | 0.000 | 0.409 | 1.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 134 | 187 | 0 | 1855 | 0 | 152 | 217 |
N.S. |
1 | 1.00 | 1.09 | 1.52 | 0.00 | 15.08 | 0.00 | 1.24 | 1.76 |
time (sec) |
N/A | 0.089 | 0.832 | 1.671 | 0.000 | 0.436 | 0.000 | 0.414 | 1.685 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 78 | 126 | 0 | 234 | 697 | 80 | 177 |
N.S. |
1 | 1.00 | 0.98 | 1.58 | 0.00 | 2.92 | 8.71 | 1.00 | 2.21 |
time (sec) |
N/A | 0.049 | 0.115 | 1.245 | 0.000 | 0.385 | 30.740 | 0.406 | 3.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 151 | 116 | 0 | 680 | 0 | 83 | 168 |
N.S. |
1 | 1.00 | 1.94 | 1.49 | 0.00 | 8.72 | 0.00 | 1.06 | 2.15 |
time (sec) |
N/A | 0.043 | 0.201 | 1.399 | 0.000 | 0.394 | 0.000 | 0.411 | 1.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 134 | 214 | 0 | 1855 | 0 | 152 | 216 |
N.S. |
1 | 1.00 | 1.12 | 1.78 | 0.00 | 15.46 | 0.00 | 1.27 | 1.80 |
time (sec) |
N/A | 0.088 | 0.723 | 1.422 | 0.000 | 0.415 | 0.000 | 0.413 | 1.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 17 | 22 | 6 | 16 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.55 | 2.00 | 0.55 | 1.45 | 0.73 | 0.55 | 0.55 |
time (sec) |
N/A | 0.027 | 0.007 | 1.210 | 0.285 | 0.357 | 0.188 | 0.396 | 0.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 17 | 22 | 6 | 19 | 10 | 6 | 6 |
N.S. | 1 | 1.00 | 1.55 | 2.00 | 0.55 | 1.73 | 0.91 | 0.55 | 0.55 |
time (sec) |
N/A | 0.024 | 0.010 | 1.118 | 0.265 | 0.355 | 0.164 | 0.407 | 1.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 15 | 13 | 10 | 13 | 12 | 13 | 16 |
N.S. | 1 | 1.00 | 1.07 | 0.93 | 0.71 | 0.93 | 0.86 | 0.93 | 1.14 |
time (sec) |
N/A | 0.023 | 0.025 | 1.355 | 0.266 | 0.372 | 0.054 | 0.412 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 91 | 87 | 60 | 326 | 54 | 53 |
N.S. | 1 | 1.00 | 0.81 | 1.72 | 1.64 | 1.13 | 6.15 | 1.02 | 1.00 |
time (sec) |
N/A | 0.041 | 0.081 | 1.147 | 0.267 | 0.365 | 0.346 | 0.412 | 1.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 87 | 118 | 0 | 749 | 0 | 88 | 199 |
N.S. |
1 | 1.00 | 1.12 | 1.51 | 0.00 | 9.60 | 0.00 | 1.13 | 2.55 |
time (sec) |
N/A | 0.052 | 0.171 | 1.441 | 0.000 | 0.428 | 0.000 | 0.424 | 1.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 70 | 63 | 337 | 232 | 0 | 70 | 67 |
N.S. |
1 | 1.00 | 0.99 | 0.89 | 4.75 | 3.27 | 0.00 | 0.99 | 0.94 |
time (sec) |
N/A | 0.050 | 0.122 | 1.370 | 0.298 | 0.395 | 0.000 | 0.416 | 1.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 90 | 175 | 0 | 264 | 643 | 89 | 302 |
N.S. |
1 | 1.00 | 0.98 | 1.90 | 0.00 | 2.87 | 6.99 | 0.97 | 3.28 |
time (sec) |
N/A | 0.054 | 0.173 | 1.257 | 0.000 | 0.362 | 31.126 | 0.402 | 3.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 106 | 133 | 0 | 799 | 0 | 95 | 210 |
N.S. |
1 | 1.00 | 1.20 | 1.51 | 0.00 | 9.08 | 0.00 | 1.08 | 2.39 |
time (sec) |
N/A | 0.047 | 0.201 | 1.357 | 0.000 | 0.371 | 0.000 | 0.403 | 1.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 146 | 228 | 0 | 1931 | 0 | 183 | 224 |
N.S. |
1 | 1.00 | 1.08 | 1.69 | 0.00 | 14.30 | 0.00 | 1.36 | 1.66 |
time (sec) |
N/A | 0.100 | 0.537 | 1.444 | 0.000 | 0.373 | 0.000 | 0.432 | 1.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 116 | 259 | 137 | 160 | 196 | 219 | 131 |
N.S. | 1 | 1.00 | 0.97 | 2.18 | 1.15 | 1.34 | 1.65 | 1.84 | 1.10 |
time (sec) |
N/A | 0.096 | 0.136 | 1.143 | 0.258 | 0.354 | 0.117 | 0.405 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 54 | 63 | 59 | 100 | 83 | 55 |
N.S. | 1 | 1.00 | 0.92 | 0.92 | 1.07 | 1.00 | 1.69 | 1.41 | 0.93 |
time (sec) |
N/A | 0.029 | 0.059 | 1.438 | 0.256 | 0.424 | 0.079 | 0.419 | 1.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 12 | 12 | 12 | 26 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.00 | 2.17 | 1.00 |
time (sec) |
N/A | 0.009 | 0.005 | 0.543 | 0.255 | 0.341 | 0.045 | 0.432 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 54 | 53 | 0 | 248 | 0 | 46 | 78 |
N.S. |
1 | 1.00 | 1.06 | 1.04 | 0.00 | 4.86 | 0.00 | 0.90 | 1.53 |
time (sec) |
N/A | 0.052 | 0.058 | 1.024 | 0.000 | 0.356 | 0.000 | 0.411 | 0.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 105 | 191 | 0 | 1268 | 0 | 111 | -1 |
N.S. |
1 | 1.00 | 1.17 | 2.12 | 0.00 | 14.09 | 0.00 | 1.23 | -0.01 |
time (sec) |
N/A | 0.076 | 0.194 | 1.417 | 0.000 | 0.379 | 0.000 | 0.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 183 | 577 | 0 | 7379 | 0 | 304 | -1 |
N.S. |
1 | 1.00 | 1.25 | 3.95 | 0.00 | 50.54 | 0.00 | 2.08 | -0.01 |
time (sec) |
N/A | 0.125 | 0.355 | 1.622 | 0.000 | 0.445 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 488 | 1598 | 0 | 23093 | 0 | 717 | -1 |
N.S. |
1 | 1.00 | 2.22 | 7.26 | 0.00 | 104.97 | 0.00 | 3.26 | -0.00 |
time (sec) |
N/A | 0.227 | 0.673 | 1.938 | 0.000 | 0.574 | 0.000 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 112 | 217 | 137 | 144 | 189 | 186 | 131 |
N.S. | 1 | 1.00 | 1.07 | 2.07 | 1.30 | 1.37 | 1.80 | 1.77 | 1.25 |
time (sec) |
N/A | 0.084 | 0.116 | 1.144 | 0.256 | 0.369 | 0.118 | 0.411 | 0.147 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 55 | 63 | 57 | 100 | 81 | 51 |
N.S. | 1 | 1.00 | 0.96 | 0.96 | 1.11 | 1.00 | 1.75 | 1.42 | 0.89 |
time (sec) |
N/A | 0.025 | 0.050 | 1.027 | 0.275 | 0.369 | 0.071 | 0.407 | 1.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 12 | 12 | 12 | 26 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.00 | 2.17 | 1.00 |
time (sec) |
N/A | 0.008 | 0.005 | 0.447 | 0.273 | 0.361 | 0.045 | 0.419 | 1.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 35 | 14 | 36 | 32 | 17 | 39 | 46 |
N.S. | 1 | 1.00 | 2.33 | 0.93 | 2.40 | 2.13 | 1.13 | 2.60 | 3.07 |
time (sec) |
N/A | 0.014 | 0.029 | 0.971 | 0.260 | 0.375 | 0.388 | 0.400 | 0.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 87 | 49 | 86 | 236 | 0 | 84 | -1 |
N.S. |
1 | 1.00 | 2.02 | 1.14 | 2.00 | 5.49 | 0.00 | 1.95 | -0.02 |
time (sec) |
N/A | 0.028 | 0.216 | 1.368 | 0.265 | 0.362 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 148 | 103 | 248 | 1504 | 0 | 205 | -1 |
N.S. |
1 | 1.00 | 1.66 | 1.16 | 2.79 | 16.90 | 0.00 | 2.30 | -0.01 |
time (sec) |
N/A | 0.064 | 0.382 | 1.523 | 0.290 | 0.399 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 300 | 178 | 487 | 4015 | 0 | 377 | -1 |
N.S. |
1 | 1.00 | 2.14 | 1.27 | 3.48 | 28.68 | 0.00 | 2.69 | -0.01 |
time (sec) |
N/A | 0.151 | 0.445 | 1.642 | 0.304 | 0.406 | 0.000 | 0.412 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 208 | 519 | 277 | 1293 | 626 | 390 | 361 |
N.S. | 1 | 1.00 | 1.11 | 2.76 | 1.47 | 6.88 | 3.33 | 2.07 | 1.92 |
time (sec) |
N/A | 0.105 | 0.361 | 1.310 | 0.257 | 0.515 | 0.371 | 0.426 | 0.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 134 | 278 | 161 | 664 | 298 | 194 | 144 |
N.S. | 1 | 1.00 | 0.99 | 2.04 | 1.18 | 4.88 | 2.19 | 1.43 | 1.06 |
time (sec) |
N/A | 0.064 | 0.188 | 1.796 | 0.263 | 0.397 | 0.193 | 0.403 | 1.659 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 72 | 80 | 79 | 238 | 122 | 96 | 70 |
N.S. | 1 | 1.00 | 0.80 | 0.89 | 0.88 | 2.64 | 1.36 | 1.07 | 0.78 |
time (sec) |
N/A | 0.035 | 0.084 | 1.414 | 0.278 | 0.357 | 0.092 | 0.400 | 1.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 23 | 22 | 61 | 20 | 36 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.92 | 2.54 | 0.83 | 1.50 | 0.92 |
time (sec) |
N/A | 0.008 | 0.008 | 0.465 | 0.258 | 0.357 | 0.048 | 0.419 | 0.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 36 | 46 | 0 | 88 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 1.35 | 0.00 | 2.59 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.024 | 0.060 | 1.319 | 0.000 | 0.498 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 68 | 217 | 0 | 660 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 2.17 | 0.00 | 6.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.117 | 2.061 | 0.000 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 184 | 488 | 0 | 3035 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.26 | 3.34 | 0.00 | 20.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.285 | 2.342 | 0.000 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 425 | 828 | 0 | 6590 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.15 | 4.18 | 0.00 | 33.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.134 | 0.577 | 2.663 | 0.000 | 0.454 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 3775 | 899 | 0 | 928 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 12.84 | 3.06 | 0.00 | 3.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.364 | 6.246 | 2.870 | 0.000 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 2292 | 321 | 0 | 463 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.20 | 1.29 | 0.00 | 1.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.189 | 6.115 | 2.480 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 549 | 317 | 0 | 314 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.38 | 3.11 | 0.00 | 3.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 5.836 | 2.734 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 237 | 251 | 0 | 108 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.32 | 2.46 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.291 | 2.375 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 806 | 1432 | 0 | 798 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.17 | 9.18 | 0.00 | 5.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 5.005 | 3.379 | 0.000 | 0.218 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 2492 | 6075 | 0 | 3730 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.74 | 18.87 | 0.00 | 11.58 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.248 | 6.223 | 4.510 | 0.000 | 0.180 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 4093 | 58437 | 0 | 13897 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.96 | 142.18 | 0.00 | 33.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.392 | 6.333 | 15.197 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F(-1) | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 4500 | 500 | 1783 | 784 | 0 | 315 | -1 |
N.S. |
1 | 1.00 | 32.14 | 3.57 | 12.74 | 5.60 | 0.00 | 2.25 | -0.01 |
time (sec) |
N/A | 0.081 | 83.228 | 3.051 | 2.451 | 0.365 | 0.000 | 0.440 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 4392 | 190 | 640 | 329 | 0 | 183 | -1 |
N.S. | 1 | 1.00 | 47.74 | 2.07 | 6.96 | 3.58 | 0.00 | 1.99 | -0.01 |
time (sec) |
N/A | 0.048 | 68.565 | 3.795 | 0.651 | 0.452 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 455 | 201 | 153 | 143 | 0 | 81 | -1 |
N.S. | 1 | 1.00 | 12.30 | 5.43 | 4.14 | 3.86 | 0.00 | 2.19 | -0.03 |
time (sec) |
N/A | 0.023 | 64.088 | 2.805 | 0.517 | 0.349 | 0.000 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 211 | 129 | 0 | 681 | 0 | 538 | -1 |
N.S. | 1 | 1.00 | 2.13 | 1.30 | 0.00 | 6.88 | 0.00 | 5.43 | -0.01 |
time (sec) |
N/A | 0.069 | 47.053 | 2.894 | 0.000 | 0.402 | 0.000 | 0.581 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 0 | 417 | 0 | 1801 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 2.69 | 0.00 | 11.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 180.001 | 3.356 | 0.000 | 0.414 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | B | F | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 0 | 954 | 0 | 5297 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 4.65 | 0.00 | 25.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.121 | 180.007 | 3.387 | 0.000 | 0.511 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F(-1) | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 4368 | 275 | 1789 | 784 | 0 | 315 | -1 |
N.S. |
1 | 1.00 | 29.92 | 1.88 | 12.25 | 5.37 | 0.00 | 2.16 | -0.01 |
time (sec) |
N/A | 0.095 | 96.866 | 3.205 | 2.468 | 0.366 | 0.000 | 0.446 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 4260 | 190 | 644 | 329 | 0 | 184 | -1 |
N.S. | 1 | 1.00 | 44.38 | 1.98 | 6.71 | 3.43 | 0.00 | 1.92 | -0.01 |
time (sec) |
N/A | 0.054 | 69.028 | 2.902 | 0.663 | 0.352 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 4196 | 202 | 156 | 143 | 0 | 81 | -1 |
N.S. | 1 | 1.00 | 107.59 | 5.18 | 4.00 | 3.67 | 0.00 | 2.08 | -0.03 |
time (sec) |
N/A | 0.025 | 80.537 | 2.777 | 0.517 | 0.415 | 0.000 | 0.414 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 52609 | 129 | 0 | 680 | 0 | 546 | -1 |
N.S. | 1 | 1.00 | 515.77 | 1.26 | 0.00 | 6.67 | 0.00 | 5.35 | -0.01 |
time (sec) |
N/A | 0.071 | 48.640 | 2.634 | 0.000 | 0.427 | 0.000 | 0.628 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 0 | 415 | 0 | 2137 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 2.61 | 0.00 | 13.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 180.000 | 3.233 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | B | F | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 0 | 984 | 0 | 5675 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 4.66 | 0.00 | 26.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.117 | 180.004 | 3.514 | 0.000 | 0.505 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 86 | 177 | 0 | 429 | 0 | 106 | 472 |
N.S. |
1 | 1.00 | 0.80 | 1.65 | 0.00 | 4.01 | 0.00 | 0.99 | 4.41 |
time (sec) |
N/A | 0.098 | 0.143 | 1.331 | 0.000 | 0.424 | 0.000 | 0.418 | 6.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 86 | 178 | 0 | 438 | 0 | 106 | 324 |
N.S. |
1 | 1.00 | 0.76 | 1.58 | 0.00 | 3.88 | 0.00 | 0.94 | 2.87 |
time (sec) |
N/A | 0.127 | 0.155 | 1.253 | 0.000 | 0.445 | 0.000 | 0.413 | 0.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 86 | 181 | 0 | 455 | 0 | 106 | 325 |
N.S. |
1 | 1.00 | 0.83 | 1.74 | 0.00 | 4.38 | 0.00 | 1.02 | 3.12 |
time (sec) |
N/A | 0.081 | 0.154 | 1.181 | 0.000 | 0.385 | 0.000 | 0.406 | 2.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 28 | 10 | 19 | 34 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 1.56 | 0.56 | 1.06 | 1.89 | 0.56 | 0.56 |
time (sec) |
N/A | 0.017 | 0.031 | 1.477 | 0.255 | 0.366 | 0.258 | 0.397 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 53 | 0 | 234 | 0 | 46 | 78 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.00 | 4.33 | 0.00 | 0.85 | 1.44 |
time (sec) |
N/A | 0.060 | 0.034 | 1.411 | 0.000 | 0.417 | 0.000 | 0.404 | 1.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 96 | 167 | 0 | 486 | 0 | 126 | 1069 |
N.S. |
1 | 1.00 | 0.66 | 1.14 | 0.00 | 3.33 | 0.00 | 0.86 | 7.32 |
time (sec) |
N/A | 0.324 | 0.182 | 1.340 | 0.000 | 1.057 | 0.000 | 0.407 | 28.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 28 | 20 | 11 | 17 | 0 | 13 | 11 |
N.S. | 1 | 1.00 | 1.47 | 1.05 | 0.58 | 0.89 | 0.00 | 0.68 | 0.58 |
time (sec) |
N/A | 0.035 | 0.049 | 1.070 | 0.260 | 0.400 | 0.000 | 0.407 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 54 | 53 | 0 | 244 | 0 | 46 | 78 |
N.S. |
1 | 1.00 | 1.08 | 1.06 | 0.00 | 4.88 | 0.00 | 0.92 | 1.56 |
time (sec) |
N/A | 0.063 | 0.034 | 1.087 | 0.000 | 0.407 | 0.000 | 0.413 | 0.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 97 | 124 | 0 | 546 | 0 | 122 | 1069 |
N.S. |
1 | 1.00 | 0.82 | 1.05 | 0.00 | 4.63 | 0.00 | 1.03 | 9.06 |
time (sec) |
N/A | 0.396 | 0.160 | 1.364 | 0.000 | 1.080 | 0.000 | 0.404 | 7.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 104 | 200 | 0 | 505 | 0 | 122 | 377 |
N.S. |
1 | 1.00 | 0.87 | 1.67 | 0.00 | 4.21 | 0.00 | 1.02 | 3.14 |
time (sec) |
N/A | 0.082 | 0.185 | 1.382 | 0.000 | 0.462 | 0.000 | 0.411 | 0.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 130 | 224 | 0 | 2211 | 0 | 179 | -1 |
N.S. |
1 | 1.00 | 1.20 | 2.07 | 0.00 | 20.47 | 0.00 | 1.66 | -0.01 |
time (sec) |
N/A | 0.081 | 0.229 | 1.513 | 0.000 | 0.494 | 0.000 | 0.409 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 373 | 836 | 0 | 12285 | 0 | 625 | -1 |
N.S. |
1 | 1.00 | 1.88 | 4.22 | 0.00 | 62.05 | 0.00 | 3.16 | -0.01 |
time (sec) |
N/A | 0.191 | 0.578 | 1.736 | 0.000 | 0.584 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 104 | 197 | 0 | 508 | 0 | 122 | 375 |
N.S. |
1 | 1.00 | 0.86 | 1.63 | 0.00 | 4.20 | 0.00 | 1.01 | 3.10 |
time (sec) |
N/A | 0.076 | 0.144 | 1.380 | 0.000 | 0.423 | 0.000 | 0.399 | 0.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 125 | 225 | 0 | 2228 | 0 | 177 | -1 |
N.S. |
1 | 1.00 | 1.16 | 2.08 | 0.00 | 20.63 | 0.00 | 1.64 | -0.01 |
time (sec) |
N/A | 0.074 | 0.179 | 1.505 | 0.000 | 0.406 | 0.000 | 0.400 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 336 | 857 | 0 | 12366 | 0 | 625 | -1 |
N.S. |
1 | 1.00 | 1.73 | 4.42 | 0.00 | 63.74 | 0.00 | 3.22 | -0.01 |
time (sec) |
N/A | 0.186 | 0.440 | 1.721 | 0.000 | 0.611 | 0.000 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 107 | 226 | 0 | 583 | 0 | 125 | 376 |
N.S. |
1 | 1.00 | 0.86 | 1.81 | 0.00 | 4.66 | 0.00 | 1.00 | 3.01 |
time (sec) |
N/A | 0.079 | 0.231 | 1.461 | 0.000 | 0.405 | 0.000 | 0.406 | 0.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 123 | 225 | 0 | 2119 | 0 | 179 | -1 |
N.S. |
1 | 1.00 | 1.14 | 2.08 | 0.00 | 19.62 | 0.00 | 1.66 | -0.01 |
time (sec) |
N/A | 0.076 | 0.224 | 1.548 | 0.000 | 0.415 | 0.000 | 0.408 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 319 | 800 | 0 | 10107 | 0 | 577 | -1 |
N.S. |
1 | 1.00 | 1.64 | 4.12 | 0.00 | 52.10 | 0.00 | 2.97 | -0.01 |
time (sec) |
N/A | 0.167 | 0.478 | 1.696 | 0.000 | 0.502 | 0.000 | 0.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 119 | 237 | 0 | 605 | 0 | 136 | 454 |
N.S. |
1 | 1.00 | 0.87 | 1.73 | 0.00 | 4.42 | 0.00 | 0.99 | 3.31 |
time (sec) |
N/A | 0.123 | 0.203 | 2.279 | 0.000 | 0.462 | 0.000 | 0.404 | 2.454 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 143 | 249 | 0 | 2541 | 0 | 207 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.06 | 0.00 | 21.00 | 0.00 | 1.71 | -0.01 |
time (sec) |
N/A | 0.089 | 0.277 | 1.572 | 0.000 | 0.405 | 0.000 | 0.432 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 465 | 1084 | 0 | 13813 | 0 | 819 | -1 |
N.S. |
1 | 1.00 | 2.00 | 4.65 | 0.00 | 59.28 | 0.00 | 3.52 | -0.00 |
time (sec) |
N/A | 0.346 | 0.694 | 1.799 | 0.000 | 0.560 | 0.000 | 0.429 | 0.000 |