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 | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 100 | 122 | 277 | 304 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.15 | 2.61 | 2.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.097 | 1.507 | 0.343 | 0.570 | 2.063 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 119 | 269 | 139 | 357 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.12 | 2.54 | 1.31 | 3.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 1.925 | 0.375 | 0.617 | 1.846 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 69 | 64 | 37 | 71 | 0 | 0 | 62 |
N.S. | 1 | 1.00 | 1.60 | 1.49 | 0.86 | 1.65 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.075 | 1.199 | 0.448 | 0.545 | 1.555 | 0.000 | 0.000 | 5.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 79 | 75 | 92 | 84 | 0 | 0 | 159 |
N.S. | 1 | 1.00 | 0.88 | 0.83 | 1.02 | 0.93 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.088 | 1.649 | 0.354 | 0.614 | 1.125 | 0.000 | 0.000 | 6.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 101 | 85 | 146 | 97 | 0 | 0 | 182 |
N.S. | 1 | 1.00 | 0.74 | 0.62 | 1.07 | 0.71 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.099 | 2.169 | 0.368 | 0.631 | 1.426 | 0.000 | 0.000 | 6.514 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 115 | 97 | 200 | 110 | 0 | 0 | 205 |
N.S. |
1 | 1.00 | 0.63 | 0.53 | 1.10 | 0.60 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.113 | 2.807 | 0.395 | 0.613 | 1.133 | 0.000 | 0.000 | 7.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 110 | 164 | 1249 | 534 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.98 | 7.43 | 3.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 4.346 | 0.339 | 0.789 | 1.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 169 | 186 | 949 | 455 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 1.17 | 5.97 | 2.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 3.117 | 0.330 | 0.646 | 1.142 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 155 | 153 | 479 | 380 | 0 | 314 | -1 |
N.S. | 1 | 1.00 | 1.01 | 0.99 | 3.11 | 2.47 | 0.00 | 2.04 | -0.01 |
time (sec) |
N/A | 0.106 | 1.861 | 0.326 | 0.589 | 0.886 | 0.000 | 1.668 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 113 | 300 | 203 | 378 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 1.96 | 1.33 | 2.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.118 | 2.439 | 0.396 | 0.593 | 1.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 109 | 350 | 440 | 405 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 2.26 | 2.84 | 2.61 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 2.700 | 0.456 | 0.647 | 1.173 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 90 | 75 | 41 | 75 | 0 | 0 | 65 |
N.S. | 1 | 1.00 | 2.09 | 1.74 | 0.95 | 1.74 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.071 | 2.135 | 0.373 | 0.631 | 0.806 | 0.000 | 0.000 | 7.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 100 | 87 | 100 | 90 | 0 | 0 | 161 |
N.S. | 1 | 1.00 | 1.11 | 0.97 | 1.11 | 1.00 | 0.00 | 0.00 | 1.79 |
time (sec) |
N/A | 0.085 | 2.982 | 0.391 | 0.609 | 1.168 | 0.000 | 0.000 | 6.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 112 | 99 | 158 | 105 | 0 | 0 | 184 |
N.S. |
1 | 1.00 | 0.82 | 0.73 | 1.16 | 0.77 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.096 | 3.615 | 0.388 | 0.638 | 1.106 | 0.000 | 0.000 | 7.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 128 | 110 | 216 | 120 | 0 | 0 | 207 |
N.S. |
1 | 1.00 | 0.70 | 0.60 | 1.19 | 0.66 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.110 | 5.317 | 0.374 | 0.569 | 0.987 | 0.000 | 0.000 | 8.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 340 | 328 | 843 | 416 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.67 | 1.61 | 4.13 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.129 | 8.564 | 0.416 | 0.587 | 1.005 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 155 | 299 | 578 | 358 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.95 | 3.78 | 2.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 3.240 | 0.430 | 0.587 | 1.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 123 | 267 | 343 | 337 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.16 | 2.52 | 3.24 | 3.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 2.129 | 0.386 | 0.556 | 0.961 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 64 | 63 | 27 | 68 | 0 | 0 | 49 |
N.S. | 1 | 1.00 | 1.56 | 1.54 | 0.66 | 1.66 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.062 | 0.786 | 0.366 | 0.552 | 1.100 | 0.000 | 0.000 | 5.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 64 | 82 | 17 | 71 | 0 | 0 | 112 |
N.S. | 1 | 1.00 | 1.45 | 1.86 | 0.39 | 1.61 | 0.00 | 0.00 | 2.55 |
time (sec) |
N/A | 0.069 | 0.776 | 0.352 | 0.566 | 1.340 | 0.000 | 0.000 | 5.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 73 | 109 | 0 | 119 | 0 | 0 | 135 |
N.S. |
1 | 1.00 | 0.78 | 1.16 | 0.00 | 1.27 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.084 | 1.071 | 0.382 | 0.000 | 1.117 | 0.000 | 0.000 | 5.627 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 99 | 118 | 0 | 131 | 0 | 0 | 158 |
N.S. |
1 | 1.00 | 0.71 | 0.84 | 0.00 | 0.94 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.095 | 1.659 | 0.405 | 0.000 | 0.952 | 0.000 | 0.000 | 5.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 115 | 130 | 0 | 143 | 0 | 0 | 183 |
N.S. |
1 | 1.00 | 0.62 | 0.70 | 0.00 | 0.77 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.112 | 2.233 | 0.418 | 0.000 | 0.789 | 0.000 | 0.000 | 6.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 386 | 409 | 979 | 451 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.51 | 1.60 | 3.84 | 1.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.148 | 9.794 | 0.386 | 0.697 | 0.989 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 348 | 379 | 706 | 385 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 1.86 | 3.46 | 1.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.131 | 8.959 | 0.355 | 0.579 | 0.813 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 184 | 348 | 414 | 385 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.19 | 2.25 | 2.67 | 2.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 5.474 | 0.367 | 0.611 | 0.801 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 87 | 62 | 37 | 71 | 0 | 0 | 108 |
N.S. | 1 | 1.00 | 2.02 | 1.44 | 0.86 | 1.65 | 0.00 | 0.00 | 2.51 |
time (sec) |
N/A | 0.076 | 1.524 | 0.344 | 0.540 | 0.742 | 0.000 | 0.000 | 0.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 89 | 70 | 0 | 81 | 0 | 0 | 114 |
N.S. |
1 | 1.00 | 0.99 | 0.78 | 0.00 | 0.90 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.081 | 1.192 | 0.365 | 0.000 | 0.934 | 0.000 | 0.000 | 5.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 89 | 109 | 0 | 119 | 0 | 0 | 117 |
N.S. |
1 | 1.00 | 0.65 | 0.80 | 0.00 | 0.87 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.097 | 1.350 | 0.402 | 0.000 | 0.904 | 0.000 | 0.000 | 0.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 103 | 95 | 48 | 95 | 0 | 0 | 138 |
N.S. | 1 | 1.00 | 1.02 | 0.94 | 0.48 | 0.94 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.086 | 1.711 | 0.366 | 0.623 | 0.825 | 0.000 | 0.000 | 5.542 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 93 | 130 | 0 | 143 | 0 | 0 | 163 |
N.S. |
1 | 1.00 | 0.63 | 0.88 | 0.00 | 0.97 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.102 | 2.648 | 0.383 | 0.000 | 1.061 | 0.000 | 0.000 | 5.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 151 | 141 | 0 | 155 | 0 | 0 | 186 |
N.S. |
1 | 1.00 | 0.78 | 0.73 | 0.00 | 0.80 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.115 | 3.535 | 0.391 | 0.000 | 1.522 | 0.000 | 0.000 | 6.525 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 459 | 490 | 1159 | 466 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.51 | 1.61 | 3.81 | 1.53 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.169 | 13.029 | 0.339 | 0.612 | 1.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 390 | 460 | 826 | 400 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.54 | 1.82 | 3.26 | 1.58 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.150 | 11.511 | 0.348 | 0.610 | 1.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 205 | 429 | 472 | 400 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 2.10 | 2.31 | 1.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.135 | 9.698 | 0.352 | 0.595 | 1.217 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 91 | 75 | 41 | 75 | 0 | 0 | 114 |
N.S. | 1 | 1.00 | 2.12 | 1.74 | 0.95 | 1.74 | 0.00 | 0.00 | 2.65 |
time (sec) |
N/A | 0.075 | 2.612 | 0.382 | 0.559 | 0.970 | 0.000 | 0.000 | 5.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 106 | 71 | 120 | 84 | 0 | 0 | 136 |
N.S. | 1 | 1.00 | 1.18 | 0.79 | 1.33 | 0.93 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.086 | 2.177 | 0.388 | 0.635 | 1.191 | 0.000 | 0.000 | 5.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 102 | 83 | 0 | 93 | 0 | 0 | 137 |
N.S. |
1 | 1.00 | 0.75 | 0.61 | 0.00 | 0.68 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.095 | 1.899 | 0.394 | 0.000 | 1.076 | 0.000 | 0.000 | 5.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 106 | 118 | 0 | 131 | 0 | 0 | 128 |
N.S. |
1 | 1.00 | 0.57 | 0.63 | 0.00 | 0.70 | 0.00 | 0.00 | 0.69 |
time (sec) |
N/A | 0.114 | 2.091 | 0.397 | 0.000 | 1.179 | 0.000 | 0.000 | 5.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 130 | 130 | 0 | 143 | 0 | 0 | 140 |
N.S. |
1 | 1.00 | 0.56 | 0.56 | 0.00 | 0.61 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.133 | 2.905 | 0.414 | 0.000 | 1.364 | 0.000 | 0.000 | 5.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 117 | 105 | 76 | 119 | 0 | 0 | 163 |
N.S. | 1 | 1.00 | 0.76 | 0.68 | 0.49 | 0.77 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.106 | 3.697 | 0.353 | 0.629 | 1.082 | 0.000 | 0.000 | 6.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 115 | 151 | 0 | 167 | 0 | 0 | 186 |
N.S. |
1 | 1.00 | 0.58 | 0.76 | 0.00 | 0.84 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.120 | 5.530 | 0.373 | 0.000 | 0.886 | 0.000 | 0.000 | 6.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 180 | 1784 | 905 | 247 | 2225 | 0 | 229 |
N.S. | 1 | 1.00 | 1.34 | 13.31 | 6.75 | 1.84 | 16.60 | 0.00 | 1.71 |
time (sec) |
N/A | 0.118 | 4.441 | 1.075 | 0.595 | 1.102 | 1.742 | 0.000 | 9.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 110 | 129 | 576 | 155 | 979 | 0 | 230 |
N.S. | 1 | 1.00 | 1.11 | 1.30 | 5.82 | 1.57 | 9.89 | 0.00 | 2.32 |
time (sec) |
N/A | 0.108 | 2.963 | 1.294 | 0.567 | 1.145 | 0.994 | 0.000 | 1.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 72 | 78 | 287 | 81 | 311 | 0 | 112 |
N.S. | 1 | 1.00 | 1.12 | 1.22 | 4.48 | 1.27 | 4.86 | 0.00 | 1.75 |
time (sec) |
N/A | 0.093 | 1.624 | 0.997 | 0.560 | 0.932 | 0.531 | 0.000 | 0.388 |
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 | 26 | 26 | 51 | 25 | 25 | 28 | 70 | 23 | 40 |
N.S. | 1 | 1.00 | 1.96 | 0.96 | 0.96 | 1.08 | 2.69 | 0.88 | 1.54 |
time (sec) |
N/A | 0.063 | 0.417 | 0.215 | 0.516 | 1.166 | 0.211 | 1.215 | 4.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 79 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.092 | 58.693 | 2.902 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.088 | 180.002 | 2.694 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.088 | 124.566 | 2.745 | 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 | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 87 | 142 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.32 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.071 | 13.836 | 2.669 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | B | B | F | B |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 0 | 5385 | 0 | 255 | 2225 | 0 | 332 |
N.S. | 1 | 1.00 | 0.00 | 40.19 | 0.00 | 1.90 | 16.60 | 0.00 | 2.48 |
time (sec) |
N/A | 0.125 | 61.692 | 1.279 | 0.000 | 0.938 | 1.642 | 0.000 | 9.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 161 | 129 | 0 | 163 | 979 | 0 | 229 |
N.S. | 1 | 1.00 | 1.63 | 1.30 | 0.00 | 1.65 | 9.89 | 0.00 | 2.31 |
time (sec) |
N/A | 0.104 | 14.757 | 1.211 | 0.000 | 1.035 | 0.866 | 0.000 | 1.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 131 | 78 | 0 | 89 | 313 | 0 | 112 |
N.S. | 1 | 1.00 | 2.05 | 1.22 | 0.00 | 1.39 | 4.89 | 0.00 | 1.75 |
time (sec) |
N/A | 0.093 | 41.633 | 0.939 | 0.000 | 0.932 | 0.463 | 0.000 | 0.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 95 | 25 | 25 | 38 | 71 | 23 | 46 |
N.S. | 1 | 1.00 | 3.65 | 0.96 | 0.96 | 1.46 | 2.73 | 0.88 | 1.77 |
time (sec) |
N/A | 0.060 | 1.969 | 0.203 | 0.541 | 1.119 | 0.217 | 1.166 | 0.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 133 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.087 | 16.047 | 0.989 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.088 | 180.009 | 2.579 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.085 | 180.000 | 0.991 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.085 | 180.003 | 2.445 | 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(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 88 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.31 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 65.040 | 3.546 | 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 | 67 | 88 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.31 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 6.241 | 0.836 | 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 | 65 | 86 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.32 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.067 | 1.550 | 1.224 | 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 | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 86 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.32 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.069 | 6.026 | 0.879 | 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(-2) | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 88 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.31 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 106.732 | 0.938 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F(-1) | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 88 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 180.001 | 3.088 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 331 | 100 | 114 | 205 | 184 | 333 | 125 |
N.S. | 1 | 1.00 | 3.01 | 0.91 | 1.04 | 1.86 | 1.67 | 3.03 | 1.14 |
time (sec) |
N/A | 0.064 | 3.396 | 0.115 | 0.506 | 0.959 | 0.388 | 0.597 | 5.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 263 | 76 | 87 | 141 | 122 | 228 | 76 |
N.S. | 1 | 1.00 | 3.29 | 0.95 | 1.09 | 1.76 | 1.52 | 2.85 | 0.95 |
time (sec) |
N/A | 0.050 | 1.856 | 0.110 | 0.524 | 1.051 | 0.322 | 0.530 | 5.069 |
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 | 46 | 46 | 66 | 50 | 55 | 67 | 53 | 110 | 38 |
N.S. | 1 | 1.00 | 1.43 | 1.09 | 1.20 | 1.46 | 1.15 | 2.39 | 0.83 |
time (sec) |
N/A | 0.021 | 0.044 | 0.085 | 0.546 | 0.927 | 0.254 | 0.460 | 4.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 102 | 70 | 0 | 44 | 87 | 90 | 45 |
N.S. |
1 | 1.00 | 2.17 | 1.49 | 0.00 | 0.94 | 1.85 | 1.91 | 0.96 |
time (sec) |
N/A | 0.030 | 0.455 | 0.174 | 0.000 | 0.944 | 0.134 | 0.448 | 5.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 94 | 91 | 0 | 57 | 162 | 117 | 70 |
N.S. |
1 | 1.00 | 1.18 | 1.14 | 0.00 | 0.71 | 2.02 | 1.46 | 0.88 |
time (sec) |
N/A | 0.044 | 0.577 | 0.202 | 0.000 | 1.068 | 0.188 | 0.540 | 5.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 150 | 112 | 0 | 80 | 258 | 140 | 111 |
N.S. |
1 | 1.00 | 1.34 | 1.00 | 0.00 | 0.71 | 2.30 | 1.25 | 0.99 |
time (sec) |
N/A | 0.059 | 0.747 | 0.212 | 0.000 | 1.286 | 0.254 | 0.667 | 5.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 948 | 176 | 187 | 371 | 313 | 670 | 217 |
N.S. | 1 | 1.00 | 6.20 | 1.15 | 1.22 | 2.42 | 2.05 | 4.38 | 1.42 |
time (sec) |
N/A | 0.139 | 7.266 | 0.126 | 0.490 | 1.122 | 0.610 | 0.759 | 4.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 261 | 135 | 149 | 286 | 236 | 512 | 139 |
N.S. | 1 | 1.00 | 2.25 | 1.16 | 1.28 | 2.47 | 2.03 | 4.41 | 1.20 |
time (sec) |
N/A | 0.112 | 3.193 | 0.136 | 0.503 | 1.131 | 0.441 | 0.657 | 4.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 175 | 94 | 98 | 158 | 119 | 301 | 75 |
N.S. | 1 | 1.00 | 2.24 | 1.21 | 1.26 | 2.03 | 1.53 | 3.86 | 0.96 |
time (sec) |
N/A | 0.065 | 1.479 | 0.109 | 0.508 | 1.093 | 0.357 | 0.557 | 5.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 155 | 93 | 0 | 88 | 170 | 131 | 112 |
N.S. |
1 | 1.00 | 2.07 | 1.24 | 0.00 | 1.17 | 2.27 | 1.75 | 1.49 |
time (sec) |
N/A | 0.061 | 1.008 | 0.244 | 0.000 | 1.132 | 0.264 | 0.565 | 5.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 134 | 123 | 0 | 83 | 258 | 176 | 93 |
N.S. |
1 | 1.00 | 1.47 | 1.35 | 0.00 | 0.91 | 2.84 | 1.93 | 1.02 |
time (sec) |
N/A | 0.101 | 1.072 | 0.208 | 0.000 | 0.727 | 0.240 | 0.639 | 5.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 256 | 152 | 0 | 114 | 401 | 215 | 148 |
N.S. |
1 | 1.00 | 1.98 | 1.18 | 0.00 | 0.88 | 3.11 | 1.67 | 1.15 |
time (sec) |
N/A | 0.117 | 1.066 | 0.227 | 0.000 | 0.741 | 0.388 | 0.781 | 5.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 1564 | 269 | 269 | 577 | 476 | 1117 | 356 |
N.S. | 1 | 1.00 | 8.23 | 1.42 | 1.42 | 3.04 | 2.51 | 5.88 | 1.87 |
time (sec) |
N/A | 0.237 | 8.152 | 0.187 | 0.499 | 0.933 | 0.807 | 1.032 | 5.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 733 | 210 | 224 | 469 | 381 | 904 | 223 |
N.S. | 1 | 1.00 | 5.20 | 1.49 | 1.59 | 3.33 | 2.70 | 6.41 | 1.58 |
time (sec) |
N/A | 0.140 | 6.394 | 0.160 | 0.499 | 0.898 | 0.730 | 0.942 | 5.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 219 | 155 | 150 | 288 | 223 | 597 | 122 |
N.S. | 1 | 1.00 | 2.05 | 1.45 | 1.40 | 2.69 | 2.08 | 5.58 | 1.14 |
time (sec) |
N/A | 0.091 | 3.473 | 0.095 | 0.513 | 1.080 | 0.501 | 0.746 | 5.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 236 | 133 | 0 | 204 | 260 | 186 | 175 |
N.S. |
1 | 1.00 | 1.83 | 1.03 | 0.00 | 1.58 | 2.02 | 1.44 | 1.36 |
time (sec) |
N/A | 0.107 | 2.042 | 0.242 | 0.000 | 0.770 | 0.445 | 0.734 | 5.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 305 | 159 | 0 | 131 | 393 | 226 | 184 |
N.S. |
1 | 1.00 | 2.24 | 1.17 | 0.00 | 0.96 | 2.89 | 1.66 | 1.35 |
time (sec) |
N/A | 0.209 | 2.030 | 0.245 | 0.000 | 1.042 | 0.488 | 0.817 | 5.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 260 | 197 | 0 | 143 | 552 | 286 | 183 |
N.S. |
1 | 1.00 | 1.86 | 1.41 | 0.00 | 1.02 | 3.94 | 2.04 | 1.31 |
time (sec) |
N/A | 0.155 | 1.605 | 0.275 | 0.000 | 0.879 | 0.460 | 0.952 | 5.607 |
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 | 115 | 115 | 229 | 116 | 144 | 216 | 257 | 247 | 99 |
N.S. | 1 | 1.00 | 1.99 | 1.01 | 1.25 | 1.88 | 2.23 | 2.15 | 0.86 |
time (sec) |
N/A | 0.246 | 4.560 | 0.271 | 0.518 | 0.910 | 10.036 | 0.603 | 7.425 |
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 | 176 | 95 | 117 | 86 | 92 | 127 | 64 |
N.S. | 1 | 1.00 | 1.66 | 0.90 | 1.10 | 0.81 | 0.87 | 1.20 | 0.60 |
time (sec) |
N/A | 0.089 | 1.807 | 0.209 | 0.495 | 1.041 | 4.221 | 0.536 | 5.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 95 | 83 | 93 | 44 | 44 | 71 | 43 |
N.S. | 1 | 1.00 | 2.11 | 1.84 | 2.07 | 0.98 | 0.98 | 1.58 | 0.96 |
time (sec) |
N/A | 0.052 | 0.574 | 0.198 | 0.491 | 1.258 | 0.830 | 0.463 | 5.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 206 | 117 | 0 | 131 | 248 | 178 | 2639 |
N.S. |
1 | 1.00 | 1.61 | 0.91 | 0.00 | 1.02 | 1.94 | 1.39 | 20.62 |
time (sec) |
N/A | 0.104 | 1.268 | 0.295 | 0.000 | 1.163 | 2.611 | 0.507 | 9.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 372 | 177 | 0 | 188 | 610 | 296 | 1384 |
N.S. |
1 | 1.00 | 2.14 | 1.02 | 0.00 | 1.08 | 3.51 | 1.70 | 7.95 |
time (sec) |
N/A | 0.282 | 1.515 | 0.408 | 0.000 | 1.252 | 5.907 | 0.553 | 9.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 435 | 248 | 0 | 275 | 1192 | 445 | 1952 |
N.S. |
1 | 1.00 | 1.86 | 1.06 | 0.00 | 1.18 | 5.09 | 1.90 | 8.34 |
time (sec) |
N/A | 0.461 | 2.021 | 0.558 | 0.000 | 1.352 | 14.339 | 0.687 | 10.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 1936 | 175 | 249 | 303 | 374 | 389 | 133 |
N.S. | 1 | 1.00 | 13.63 | 1.23 | 1.75 | 2.13 | 2.63 | 2.74 | 0.94 |
time (sec) |
N/A | 0.258 | 7.662 | 0.281 | 0.484 | 1.262 | 16.932 | 0.641 | 6.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 253 | 153 | 218 | 143 | 156 | 232 | 139 |
N.S. | 1 | 1.00 | 2.72 | 1.65 | 2.34 | 1.54 | 1.68 | 2.49 | 1.49 |
time (sec) |
N/A | 0.133 | 2.354 | 0.225 | 0.488 | 1.120 | 1.750 | 0.593 | 5.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 302 | 139 | 184 | 128 | 143 | 186 | 135 |
N.S. | 1 | 1.00 | 4.03 | 1.85 | 2.45 | 1.71 | 1.91 | 2.48 | 1.80 |
time (sec) |
N/A | 0.106 | 2.481 | 0.237 | 0.507 | 0.862 | 1.674 | 0.552 | 5.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 385 | 163 | 0 | 336 | 510 | 342 | 1334 |
N.S. |
1 | 1.00 | 1.91 | 0.81 | 0.00 | 1.66 | 2.52 | 1.69 | 6.60 |
time (sec) |
N/A | 0.243 | 2.992 | 0.450 | 0.000 | 1.352 | 14.843 | 0.585 | 8.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 476 | 227 | 0 | 513 | 966 | 496 | 1984 |
N.S. |
1 | 1.00 | 1.76 | 0.84 | 0.00 | 1.89 | 3.56 | 1.83 | 7.32 |
time (sec) |
N/A | 0.385 | 4.071 | 0.702 | 0.000 | 1.076 | 31.062 | 0.689 | 10.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 357 | 357 | 633 | 298 | 0 | 609 | 1792 | 648 | 2653 |
N.S. |
1 | 1.00 | 1.77 | 0.83 | 0.00 | 1.71 | 5.02 | 1.82 | 7.43 |
time (sec) |
N/A | 0.642 | 5.223 | 1.033 | 0.000 | 1.299 | 73.486 | 0.828 | 11.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 595 | 239 | 409 | 311 | 377 | 470 | 314 |
N.S. | 1 | 1.00 | 4.44 | 1.78 | 3.05 | 2.32 | 2.81 | 3.51 | 2.34 |
time (sec) |
N/A | 0.182 | 2.801 | 0.339 | 0.503 | 1.551 | 4.032 | 0.798 | 5.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 317 | 216 | 386 | 316 | 391 | 472 | 297 |
N.S. | 1 | 1.00 | 2.54 | 1.73 | 3.09 | 2.53 | 3.13 | 3.78 | 2.38 |
time (sec) |
N/A | 0.182 | 4.530 | 0.312 | 0.522 | 0.905 | 4.205 | 0.739 | 5.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 315 | 200 | 331 | 278 | 354 | 364 | 281 |
N.S. | 1 | 1.00 | 3.03 | 1.92 | 3.18 | 2.67 | 3.40 | 3.50 | 2.70 |
time (sec) |
N/A | 0.155 | 3.587 | 0.282 | 0.535 | 1.484 | 4.049 | 0.653 | 5.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 474 | 239 | 0 | 719 | 821 | 496 | 1910 |
N.S. |
1 | 1.00 | 1.74 | 0.88 | 0.00 | 2.63 | 3.01 | 1.82 | 7.00 |
time (sec) |
N/A | 0.331 | 7.460 | 0.636 | 0.000 | 1.123 | 54.147 | 0.706 | 10.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | A | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 4395 | 304 | 0 | 918 | 1583 | 806 | 2640 |
N.S. |
1 | 1.00 | 12.42 | 0.86 | 0.00 | 2.59 | 4.47 | 2.28 | 7.46 |
time (sec) |
N/A | 0.533 | 8.171 | 1.010 | 0.000 | 1.214 | 102.385 | 0.834 | 12.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 448 | 448 | 5726 | 374 | 0 | 1151 | 0 | 782 | 2500 |
N.S. |
1 | 1.00 | 12.78 | 0.83 | 0.00 | 2.57 | 0.00 | 1.75 | 5.58 |
time (sec) |
N/A | 0.833 | 8.531 | 1.686 | 0.000 | 1.235 | 0.000 | 1.033 | 13.521 |