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 | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 289 | 0 | 0 | 641 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.255 | 0.851 | 0.005 | 0.000 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 220 | 0 | 0 | 535 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 2.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.140 | 0.638 | 0.006 | 0.000 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 194 | 0 | 0 | 451 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 2.21 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.124 | 0.527 | 0.005 | 0.000 | 0.394 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 140 | 0 | 0 | 361 | 0 | 172 | 223 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 2.41 | 0.00 | 1.15 | 1.49 |
time (sec) |
N/A | 0.080 | 0.379 | 0.005 | 0.000 | 0.405 | 0.000 | 3.653 | 1.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 110 | 0 | 0 | 297 | 0 | 135 | 115 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.40 | 0.00 | 1.09 | 0.93 |
time (sec) |
N/A | 0.058 | 0.308 | 0.004 | 0.000 | 0.392 | 0.000 | 3.461 | 1.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 143 | 0 | 0 | 727 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 4.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.120 | 0.486 | 0.007 | 0.000 | 0.479 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 131 | 0 | 0 | 713 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 4.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 0.488 | 0.004 | 0.000 | 0.452 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 131 | 0 | 0 | 713 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 4.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 0.511 | 0.004 | 0.000 | 0.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 148 | 0 | 0 | 771 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 0.00 | 0.00 | 4.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.122 | 0.701 | 0.003 | 0.000 | 0.487 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 118 | 0 | 0 | 319 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 0.640 | 0.004 | 0.000 | 0.425 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 160 | 0 | 0 | 383 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 2.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 0.950 | 0.004 | 0.000 | 0.465 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 201 | 0 | 0 | 473 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.138 | 1.322 | 0.005 | 0.000 | 0.549 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 244 | 0 | 0 | 557 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 2.18 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.207 | 1.539 | 0.006 | 0.000 | 0.651 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 453 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 10.562 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 410 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 10.462 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 408 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 10.432 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 379 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 10.328 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 379 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.088 | 10.326 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 138 | 0 | 0 | 303 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 1.77 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.145 | 0.255 | 0.009 | 0.000 | 0.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 101 | 0 | 0 | 241 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 1.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.216 | 0.008 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 91 | 0 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 1.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.179 | 0.006 | 0.000 | 0.396 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 70 | 0 | 0 | 161 | 0 | 61 | 55 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 2.37 | 0.00 | 0.90 | 0.81 |
time (sec) |
N/A | 0.035 | 0.115 | 0.006 | 0.000 | 0.428 | 0.000 | 3.866 | 1.492 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 41 | 0 | 0 | 118 | 0 | 76 | 34 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 2.74 | 0.00 | 1.77 | 0.79 |
time (sec) |
N/A | 0.024 | 0.076 | 0.007 | 0.000 | 0.363 | 0.000 | 3.662 | 1.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 124 | 0 | 0 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.82 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.025 | 0.073 | 0.007 | 0.000 | 0.362 | 0.000 | 0.000 | 1.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 72 | 0 | 0 | 179 | 0 | 0 | 56 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.49 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.040 | 0.135 | 0.005 | 0.000 | 0.389 | 0.000 | 0.000 | 1.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 91 | 0 | 0 | 221 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 2.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.222 | 0.008 | 0.000 | 0.382 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 110 | 0 | 0 | 263 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 0.346 | 0.007 | 0.000 | 0.408 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 141 | 0 | 0 | 327 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 1.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.158 | 0.470 | 0.007 | 0.000 | 0.484 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 168 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 10.068 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 168 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 10.072 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 163 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 10.049 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 343 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 10.228 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 342 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.088 | 10.203 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 170 | 0 | 0 | 591 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 3.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.161 | 0.672 | 0.006 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 131 | 0 | 0 | 459 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 3.35 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.450 | 0.005 | 0.000 | 0.462 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 97 | 0 | 0 | 387 | 0 | 0 | 84 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 3.22 | 0.00 | 0.00 | 0.70 |
time (sec) |
N/A | 0.066 | 0.376 | 0.007 | 0.000 | 0.391 | 0.000 | 0.000 | 1.658 |
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 | 39 | 39 | 39 | 38 | 0 | 68 | 0 | 45 | 38 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.00 | 1.74 | 0.00 | 1.15 | 0.97 |
time (sec) |
N/A | 0.022 | 0.251 | 0.026 | 0.000 | 0.360 | 0.000 | 2.978 | 1.429 |
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 | 38 | 38 | 38 | 37 | 0 | 67 | 0 | 45 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.00 | 1.76 | 0.00 | 1.18 | 0.97 |
time (sec) |
N/A | 0.017 | 0.252 | 0.026 | 0.000 | 0.367 | 0.000 | 2.958 | 1.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 131 | 0 | 0 | 389 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.42 | 0.00 | 0.00 | 4.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.416 | 0.007 | 0.000 | 0.428 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 125 | 0 | 0 | 485 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 3.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.534 | 0.004 | 0.000 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 166 | 0 | 0 | 615 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 3.11 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.145 | 0.720 | 0.006 | 0.000 | 0.513 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 210 | 0 | 0 | 705 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 2.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.199 | 0.951 | 0.006 | 0.000 | 0.547 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 340 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 10.209 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 362 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 10.338 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 359 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.048 | 10.323 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 407 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 10.498 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 405 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 10.444 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 101 | 101 | 70 | 301 | 110 | 241 | 1459 | 449 | 260 |
N.S. | 1 | 1.00 | 0.69 | 2.98 | 1.09 | 2.39 | 14.45 | 4.45 | 2.57 |
time (sec) |
N/A | 0.040 | 0.544 | 0.014 | 0.341 | 0.411 | 0.807 | 4.338 | 1.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 35 | 51 | 50 | 71 | 299 | 119 | 89 |
N.S. | 1 | 1.00 | 0.67 | 0.98 | 0.96 | 1.37 | 5.75 | 2.29 | 1.71 |
time (sec) |
N/A | 0.013 | 0.045 | 0.018 | 0.292 | 0.358 | 0.312 | 3.255 | 1.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 84 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.165 | 0.097 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 315 | 315 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.477 | 0.151 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 357 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.105 | 0.778 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 181 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 0.502 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 181 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.706 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 221 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.100 | 5.784 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 179 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.185 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 162 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.172 | 0.325 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 162 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.252 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 138 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.150 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.383 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.403 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.401 | 0.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 161 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.114 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 157 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.209 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 164 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.388 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.404 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 162 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 0.256 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.414 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 0.398 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 164 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.091 | 0.287 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 34 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.006 | 0.024 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 30 | 30 | 24 | 25 | 24 | 31 | 22 | 24 | 25 |
N.S. | 1 | 1.00 | 0.80 | 0.83 | 0.80 | 1.03 | 0.73 | 0.80 | 0.83 |
time (sec) |
N/A | 0.009 | 0.011 | 0.020 | 0.520 | 0.333 | 0.041 | 3.174 | 0.047 |
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 | 22 | 22 | 18 | 19 | 18 | 23 | 15 | 18 | 18 |
N.S. | 1 | 1.00 | 0.82 | 0.86 | 0.82 | 1.05 | 0.68 | 0.82 | 0.82 |
time (sec) |
N/A | 0.007 | 0.005 | 0.016 | 0.289 | 0.330 | 0.033 | 3.737 | 1.315 |
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 | 23 | 23 | 23 | 20 | 19 | 24 | 15 | 19 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.83 | 1.04 | 0.65 | 0.83 | 0.91 |
time (sec) |
N/A | 0.006 | 0.007 | 0.017 | 0.507 | 0.341 | 0.040 | 4.722 | 1.365 |
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 | 11 | 11 | 11 | 10 | 9 | 9 | 8 | 9 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.82 | 0.82 | 0.73 | 0.82 | 1.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.013 | 0.282 | 0.345 | 0.027 | 4.345 | 0.018 |
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 | 23 | 23 | 20 | 20 | 19 | 23 | 15 | 19 | 20 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.83 | 1.00 | 0.65 | 0.83 | 0.87 |
time (sec) |
N/A | 0.005 | 0.004 | 0.017 | 0.504 | 0.327 | 0.038 | 3.600 | 0.026 |
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 | 24 | 24 | 24 | 21 | 24 | 32 | 19 | 29 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 1.00 | 1.33 | 0.79 | 1.21 | 0.83 |
time (sec) |
N/A | 0.009 | 0.007 | 0.037 | 0.306 | 0.332 | 0.050 | 3.690 | 0.044 |
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 | 30 | 30 | 30 | 25 | 25 | 31 | 26 | 25 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.83 | 1.03 | 0.87 | 0.83 | 0.83 |
time (sec) |
N/A | 0.009 | 0.008 | 0.023 | 0.555 | 0.333 | 0.052 | 3.837 | 0.040 |
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 | 33 | 33 | 33 | 28 | 33 | 44 | 31 | 33 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 1.00 | 1.33 | 0.94 | 1.00 | 0.94 |
time (sec) |
N/A | 0.011 | 0.008 | 0.023 | 0.333 | 0.337 | 0.060 | 3.248 | 0.054 |
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 | 37 | 37 | 33 | 28 | 30 | 36 | 29 | 31 | 30 |
N.S. | 1 | 1.00 | 0.89 | 0.76 | 0.81 | 0.97 | 0.78 | 0.84 | 0.81 |
time (sec) |
N/A | 0.010 | 0.008 | 0.028 | 0.518 | 0.331 | 0.062 | 4.481 | 0.046 |
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 | 104 | 104 | 94 | 64 | 83 | 137 | 90 | 83 | 45 |
N.S. | 1 | 1.00 | 0.90 | 0.62 | 0.80 | 1.32 | 0.87 | 0.80 | 0.43 |
time (sec) |
N/A | 0.036 | 0.046 | 0.037 | 0.512 | 0.353 | 0.069 | 5.039 | 1.369 |
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 | 99 | 99 | 93 | 65 | 84 | 134 | 90 | 84 | 47 |
N.S. | 1 | 1.00 | 0.94 | 0.66 | 0.85 | 1.35 | 0.91 | 0.85 | 0.47 |
time (sec) |
N/A | 0.034 | 0.040 | 0.017 | 0.507 | 0.351 | 0.067 | 6.492 | 1.326 |
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 | 97 | 97 | 90 | 63 | 82 | 131 | 82 | 82 | 45 |
N.S. | 1 | 1.00 | 0.93 | 0.65 | 0.85 | 1.35 | 0.85 | 0.85 | 0.46 |
time (sec) |
N/A | 0.035 | 0.043 | 0.018 | 0.502 | 0.368 | 0.061 | 6.860 | 0.082 |
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 | 99 | 99 | 92 | 65 | 84 | 133 | 83 | 84 | 46 |
N.S. | 1 | 1.00 | 0.93 | 0.66 | 0.85 | 1.34 | 0.84 | 0.85 | 0.46 |
time (sec) |
N/A | 0.037 | 0.033 | 0.014 | 0.509 | 0.387 | 0.063 | 4.338 | 0.045 |
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 | 97 | 97 | 91 | 63 | 82 | 132 | 88 | 82 | 44 |
N.S. | 1 | 1.00 | 0.94 | 0.65 | 0.85 | 1.36 | 0.91 | 0.85 | 0.45 |
time (sec) |
N/A | 0.035 | 0.032 | 0.015 | 0.505 | 0.349 | 0.065 | 4.099 | 1.305 |
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 | 106 | 106 | 98 | 70 | 88 | 135 | 97 | 88 | 49 |
N.S. | 1 | 1.00 | 0.92 | 0.66 | 0.83 | 1.27 | 0.92 | 0.83 | 0.46 |
time (sec) |
N/A | 0.037 | 0.047 | 0.023 | 0.544 | 0.346 | 0.076 | 2.757 | 1.314 |
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 | 106 | 106 | 96 | 68 | 90 | 145 | 99 | 87 | 51 |
N.S. | 1 | 1.00 | 0.91 | 0.64 | 0.85 | 1.37 | 0.93 | 0.82 | 0.48 |
time (sec) |
N/A | 0.037 | 0.050 | 0.023 | 0.526 | 0.349 | 0.080 | 3.307 | 1.365 |
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 | 113 | 113 | 103 | 75 | 95 | 150 | 102 | 96 | 55 |
N.S. | 1 | 1.00 | 0.91 | 0.66 | 0.84 | 1.33 | 0.90 | 0.85 | 0.49 |
time (sec) |
N/A | 0.038 | 0.052 | 0.024 | 0.514 | 0.343 | 0.086 | 4.309 | 0.093 |
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 | 113 | 113 | 101 | 73 | 95 | 150 | 102 | 94 | 55 |
N.S. | 1 | 1.00 | 0.89 | 0.65 | 0.84 | 1.33 | 0.90 | 0.83 | 0.49 |
time (sec) |
N/A | 0.040 | 0.051 | 0.032 | 0.500 | 0.358 | 0.112 | 5.635 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 32 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.004 | 0.105 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 32 | 32 | 39 | 41 | 34 | 46 | 34 | 35 | 26 |
N.S. | 1 | 1.00 | 1.22 | 1.28 | 1.06 | 1.44 | 1.06 | 1.09 | 0.81 |
time (sec) |
N/A | 0.010 | 0.016 | 0.040 | 0.289 | 0.339 | 0.041 | 3.797 | 0.047 |
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 | 26 | 26 | 22 | 19 | 18 | 23 | 15 | 19 | 20 |
N.S. | 1 | 1.00 | 0.85 | 0.73 | 0.69 | 0.88 | 0.58 | 0.73 | 0.77 |
time (sec) |
N/A | 0.009 | 0.006 | 0.016 | 0.280 | 0.348 | 0.033 | 3.209 | 0.048 |
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 | 25 | 25 | 33 | 36 | 29 | 40 | 26 | 30 | 21 |
N.S. | 1 | 1.00 | 1.32 | 1.44 | 1.16 | 1.60 | 1.04 | 1.20 | 0.84 |
time (sec) |
N/A | 0.007 | 0.008 | 0.020 | 0.284 | 0.347 | 0.039 | 3.115 | 1.269 |
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 | 13 | 13 | 11 | 10 | 9 | 9 | 8 | 9 | 11 |
N.S. | 1 | 1.00 | 0.85 | 0.77 | 0.69 | 0.69 | 0.62 | 0.69 | 0.85 |
time (sec) |
N/A | 0.002 | 0.002 | 0.014 | 0.321 | 0.326 | 0.037 | 4.121 | 0.022 |
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 | 25 | 25 | 33 | 36 | 29 | 40 | 26 | 30 | 21 |
N.S. | 1 | 1.00 | 1.32 | 1.44 | 1.16 | 1.60 | 1.04 | 1.20 | 0.84 |
time (sec) |
N/A | 0.006 | 0.006 | 0.020 | 0.283 | 0.335 | 0.039 | 4.706 | 0.035 |
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 | 28 | 28 | 26 | 47 | 24 | 32 | 19 | 30 | 22 |
N.S. | 1 | 1.00 | 0.93 | 1.68 | 0.86 | 1.14 | 0.68 | 1.07 | 0.79 |
time (sec) |
N/A | 0.010 | 0.007 | 0.029 | 0.310 | 0.337 | 0.045 | 5.773 | 0.058 |
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 | 32 | 32 | 41 | 50 | 37 | 54 | 36 | 38 | 26 |
N.S. | 1 | 1.00 | 1.28 | 1.56 | 1.16 | 1.69 | 1.12 | 1.19 | 0.81 |
time (sec) |
N/A | 0.009 | 0.012 | 0.034 | 0.286 | 0.341 | 0.054 | 5.854 | 0.044 |
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 | 37 | 37 | 35 | 54 | 35 | 50 | 29 | 36 | 32 |
N.S. | 1 | 1.00 | 0.95 | 1.46 | 0.95 | 1.35 | 0.78 | 0.97 | 0.86 |
time (sec) |
N/A | 0.013 | 0.009 | 0.031 | 0.297 | 0.362 | 0.057 | 5.203 | 0.052 |
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 | 39 | 39 | 49 | 55 | 42 | 59 | 41 | 42 | 32 |
N.S. | 1 | 1.00 | 1.26 | 1.41 | 1.08 | 1.51 | 1.05 | 1.08 | 0.82 |
time (sec) |
N/A | 0.011 | 0.010 | 0.037 | 0.335 | 0.336 | 0.067 | 4.970 | 0.051 |
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 | 34 | 34 | 38 | 43 | 28 | 49 | 32 | 30 | 26 |
N.S. | 1 | 1.00 | 1.12 | 1.26 | 0.82 | 1.44 | 0.94 | 0.88 | 0.76 |
time (sec) |
N/A | 0.006 | 0.011 | 0.029 | 0.515 | 0.332 | 0.058 | 3.649 | 1.285 |