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 | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 93 | 101 | 109 | 492 | 0 | 140 | 1959 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.17 | 5.29 | 0.00 | 1.51 | 21.06 |
time (sec) |
N/A | 0.088 | 0.593 | 0.347 | 0.530 | 0.456 | 0.000 | 0.447 | 15.227 |
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 | 78 | 78 | 74 | 75 | 74 | 419 | 0 | 109 | 72 |
N.S. |
1 | 1.00 | 0.95 | 0.96 | 0.95 | 5.37 | 0.00 | 1.40 | 0.92 |
time (sec) |
N/A | 0.053 | 0.368 | 0.280 | 0.510 | 0.416 | 0.000 | 0.468 | 13.433 |
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 | 87 | 87 | 84 | 87 | 89 | 463 | 0 | 113 | 79 |
N.S. |
1 | 1.00 | 0.97 | 1.00 | 1.02 | 5.32 | 0.00 | 1.30 | 0.91 |
time (sec) |
N/A | 0.040 | 0.288 | 0.290 | 0.516 | 0.430 | 0.000 | 0.399 | 13.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 130 | 155 | 103 | 133 | 588 | 0 | 179 | 132 |
N.S. | 1 | 1.02 | 1.22 | 0.81 | 1.05 | 4.63 | 0.00 | 1.41 | 1.04 |
time (sec) |
N/A | 0.098 | 0.815 | 0.398 | 0.546 | 0.467 | 0.000 | 0.444 | 13.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 202 | 122 | 172 | 843 | 0 | 174 | 164 |
N.S. | 1 | 1.00 | 1.25 | 0.75 | 1.06 | 5.20 | 0.00 | 1.07 | 1.01 |
time (sec) |
N/A | 0.136 | 0.881 | 0.430 | 0.513 | 0.473 | 0.000 | 0.453 | 14.398 |
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 | 148 | 148 | 134 | 158 | 234 | 950 | 0 | 224 | 2500 |
N.S. |
1 | 1.00 | 0.91 | 1.07 | 1.58 | 6.42 | 0.00 | 1.51 | 16.89 |
time (sec) |
N/A | 0.187 | 1.812 | 0.337 | 0.546 | 0.472 | 0.000 | 0.556 | 17.957 |
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 | 110 | 110 | 97 | 109 | 158 | 683 | 0 | 152 | 149 |
N.S. |
1 | 1.00 | 0.88 | 0.99 | 1.44 | 6.21 | 0.00 | 1.38 | 1.35 |
time (sec) |
N/A | 0.067 | 0.891 | 0.240 | 0.534 | 0.430 | 0.000 | 0.482 | 13.689 |
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 | 131 | 131 | 112 | 131 | 191 | 771 | 0 | 191 | 159 |
N.S. |
1 | 1.00 | 0.85 | 1.00 | 1.46 | 5.89 | 0.00 | 1.46 | 1.21 |
time (sec) |
N/A | 0.102 | 0.957 | 0.359 | 0.519 | 0.460 | 0.000 | 0.481 | 13.854 |
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 | 144 | 144 | 125 | 148 | 211 | 843 | 0 | 211 | 176 |
N.S. |
1 | 1.00 | 0.87 | 1.03 | 1.47 | 5.85 | 0.00 | 1.47 | 1.22 |
time (sec) |
N/A | 0.105 | 0.845 | 0.382 | 0.549 | 0.430 | 0.000 | 0.450 | 13.817 |
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 | 196 | 196 | 214 | 160 | 270 | 1003 | 0 | 232 | 251 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 1.38 | 5.12 | 0.00 | 1.18 | 1.28 |
time (sec) |
N/A | 0.176 | 1.157 | 0.518 | 0.504 | 0.470 | 0.000 | 0.470 | 15.241 |
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 | 206 | 206 | 201 | 230 | 378 | 1361 | 0 | 344 | 339 |
N.S. |
1 | 1.00 | 0.98 | 1.12 | 1.83 | 6.61 | 0.00 | 1.67 | 1.65 |
time (sec) |
N/A | 0.204 | 0.978 | 0.468 | 0.560 | 0.450 | 0.000 | 0.521 | 15.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 312 | 336 | 588 | 2017 | 0 | 524 | 450 |
N.S. |
1 | 1.00 | 1.12 | 1.20 | 2.11 | 7.23 | 0.00 | 1.88 | 1.61 |
time (sec) |
N/A | 0.362 | 1.282 | 0.460 | 0.542 | 0.553 | 0.000 | 0.425 | 16.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 29 | 33 | 10 | 57 | 0 | 25 | 18 |
N.S. | 1 | 1.00 | 2.64 | 3.00 | 0.91 | 5.18 | 0.00 | 2.27 | 1.64 |
time (sec) |
N/A | 0.016 | 0.054 | 3.618 | 0.499 | 0.414 | 0.000 | 0.444 | 13.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 53 | 51 | 25 | 71 | 0 | 25 | -1 |
N.S. | 1 | 1.00 | 1.77 | 1.70 | 0.83 | 2.37 | 0.00 | 0.83 | -0.03 |
time (sec) |
N/A | 0.018 | 0.035 | 5.515 | 0.561 | 0.413 | 0.000 | 0.471 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 39 | 57 | 11 | 94 | 0 | 48 | -1 |
N.S. | 1 | 1.00 | 2.60 | 3.80 | 0.73 | 6.27 | 0.00 | 3.20 | -0.07 |
time (sec) |
N/A | 0.018 | 0.068 | 5.330 | 0.518 | 0.382 | 0.000 | 0.781 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 36 | 32 | 31 | 40 | 0 | 84 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.60 | 0.58 | 0.75 | 0.00 | 1.58 | -0.02 |
time (sec) |
N/A | 0.034 | 0.015 | 2.796 | 0.562 | 0.381 | 0.000 | 0.479 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 26 | 24 | 17 | 26 | 0 | 57 | -1 |
N.S. | 1 | 1.00 | 0.76 | 0.71 | 0.50 | 0.76 | 0.00 | 1.68 | -0.03 |
time (sec) |
N/A | 0.022 | 0.008 | 3.223 | 0.572 | 0.387 | 0.000 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 15 | 6 | 15 | 0 | 27 | 46 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 0.46 | 1.15 | 0.00 | 2.08 | 3.54 |
time (sec) |
N/A | 0.015 | 0.004 | 1.236 | 0.576 | 0.399 | 0.000 | 0.445 | 0.216 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 46 | 20 | 38 | 65 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.88 | 1.25 | 2.38 | 4.06 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.017 | 0.015 | 0.138 | 0.608 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 91 | 70 | 304 | 40 | 0 | 47 | -1 |
N.S. | 1 | 1.00 | 2.17 | 1.67 | 7.24 | 0.95 | 0.00 | 1.12 | -0.02 |
time (sec) |
N/A | 0.023 | 0.044 | 6.525 | 0.628 | 0.401 | 0.000 | 0.489 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 72 | 89 | 933 | 49 | 0 | 129 | -1 |
N.S. | 1 | 1.00 | 1.18 | 1.46 | 15.30 | 0.80 | 0.00 | 2.11 | -0.02 |
time (sec) |
N/A | 0.031 | 0.117 | 7.029 | 0.856 | 0.427 | 0.000 | 0.519 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 119 | 311 | 186 | 501 | 0 | 131 | -1 |
N.S. |
1 | 1.00 | 0.95 | 2.49 | 1.49 | 4.01 | 0.00 | 1.05 | -0.01 |
time (sec) |
N/A | 0.088 | 0.296 | 7.186 | 0.540 | 0.660 | 0.000 | 0.765 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 93 | 182 | 74 | 433 | 0 | 83 | -1 |
N.S. | 1 | 1.00 | 1.19 | 2.33 | 0.95 | 5.55 | 0.00 | 1.06 | -0.01 |
time (sec) |
N/A | 0.039 | 0.183 | 7.556 | 0.537 | 0.498 | 0.000 | 0.880 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 99 | 174 | 139 | 1158 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.10 | 1.67 | 13.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.081 | 10.362 | 0.529 | 0.603 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 100 | 227 | 0 | 338 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.70 | 0.00 | 4.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.184 | 8.167 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 127 | 379 | 0 | 520 | 0 | 962 | -1 |
N.S. | 1 | 1.00 | 0.89 | 2.65 | 0.00 | 3.64 | 0.00 | 6.73 | -0.01 |
time (sec) |
N/A | 0.088 | 0.336 | 10.091 | 0.000 | 0.569 | 0.000 | 0.639 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 199 | 413 | 0 | 39 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 1.59 | 0.00 | 0.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.221 | 0.946 | 6.938 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 159 | 266 | 0 | 30 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.67 | 0.00 | 0.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.135 | 0.558 | 5.968 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 61 | 71 | 0 | 18 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 1.39 | 0.00 | 0.35 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.023 | 0.069 | 3.543 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 137 | 156 | 0 | 626 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.90 | 0.00 | 3.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 0.414 | 6.203 | 0.000 | 0.135 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 188 | 342 | 0 | 947 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.46 | 0.00 | 4.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.169 | 2.128 | 6.832 | 0.000 | 0.172 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 152 | 446 | 262 | 579 | 0 | 197 | -1 |
N.S. |
1 | 1.00 | 0.90 | 2.64 | 1.55 | 3.43 | 0.00 | 1.17 | -0.01 |
time (sec) |
N/A | 0.103 | 0.530 | 9.453 | 0.501 | 1.426 | 0.000 | 0.859 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 113 | 309 | 112 | 495 | 0 | 128 | -1 |
N.S. |
1 | 1.00 | 0.99 | 2.71 | 0.98 | 4.34 | 0.00 | 1.12 | -0.01 |
time (sec) |
N/A | 0.052 | 0.269 | 8.800 | 0.495 | 0.646 | 0.000 | 0.791 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 141 | 255 | 189 | 1282 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 2.09 | 1.55 | 10.51 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.096 | 0.625 | 10.338 | 0.540 | 0.700 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 147 | 287 | 0 | 1449 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 2.24 | 0.00 | 11.32 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.779 | 11.000 | 0.000 | 0.726 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 114 | 376 | 0 | 484 | 0 | 960 | -1 |
N.S. |
1 | 1.00 | 0.89 | 2.94 | 0.00 | 3.78 | 0.00 | 7.50 | -0.01 |
time (sec) |
N/A | 0.089 | 0.439 | 10.384 | 0.000 | 0.588 | 0.000 | 0.763 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 161 | 565 | 0 | 752 | 0 | 1708 | -1 |
N.S. |
1 | 1.00 | 0.82 | 2.87 | 0.00 | 3.82 | 0.00 | 8.67 | -0.01 |
time (sec) |
N/A | 0.113 | 0.804 | 12.996 | 0.000 | 1.230 | 0.000 | 0.913 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 249 | 602 | 0 | 68 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 1.85 | 0.00 | 0.21 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.301 | 1.758 | 7.951 | 0.000 | 0.139 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 201 | 429 | 0 | 47 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.97 | 0.00 | 0.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.201 | 0.936 | 6.720 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 156 | 266 | 0 | 18 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.73 | 0.00 | 0.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.118 | 0.531 | 6.493 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 141 | 174 | 0 | 45 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 0.96 | 0.00 | 0.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.128 | 0.917 | 6.458 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 201 | 408 | 0 | 969 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 1.73 | 0.00 | 4.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.195 | 2.970 | 8.539 | 0.000 | 0.163 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 194 | 437 | 0 | 59 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 2.08 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.189 | 0.966 | 7.260 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 105 | 186 | 79 | 438 | 0 | 91 | -1 |
N.S. |
1 | 1.00 | 1.27 | 2.24 | 0.95 | 5.28 | 0.00 | 1.10 | -0.01 |
time (sec) |
N/A | 0.063 | 0.215 | 7.691 | 0.569 | 0.506 | 0.000 | 0.911 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 53 | 99 | 25 | 370 | 0 | 83 | -1 |
N.S. | 1 | 1.00 | 1.29 | 2.41 | 0.61 | 9.02 | 0.00 | 2.02 | -0.02 |
time (sec) |
N/A | 0.030 | 0.085 | 4.662 | 0.554 | 0.510 | 0.000 | 0.937 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 48 | 112 | 115 | 219 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.17 | 2.73 | 2.80 | 5.34 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.047 | 0.115 | 5.590 | 0.583 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 102 | 231 | 0 | 347 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 2.60 | 0.00 | 3.90 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.221 | 9.964 | 0.000 | 0.488 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 163 | 268 | 0 | 59 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 1.30 | 0.00 | 0.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.132 | 0.607 | 6.522 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 78 | 93 | 0 | 48 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 0.84 | 0.00 | 0.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.165 | 4.925 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 60 | 60 | 0 | 305 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.18 | 1.18 | 0.00 | 5.98 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.023 | 0.068 | 0.200 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 138 | 140 | 0 | 643 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.79 | 0.00 | 3.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.119 | 0.356 | 6.598 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 195 | 354 | 0 | 955 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.45 | 0.00 | 3.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.176 | 2.634 | 7.662 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 96 | 156 | 86 | 564 | 0 | 113 | -1 |
N.S. |
1 | 1.00 | 1.22 | 1.97 | 1.09 | 7.14 | 0.00 | 1.43 | -0.01 |
time (sec) |
N/A | 0.068 | 0.299 | 12.941 | 0.548 | 0.584 | 0.000 | 1.002 | 0.000 |
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 | 34 | 34 | 41 | 31 | 34 | 57 | 0 | 53 | 119 |
N.S. | 1 | 1.00 | 1.21 | 0.91 | 1.00 | 1.68 | 0.00 | 1.56 | 3.50 |
time (sec) |
N/A | 0.030 | 0.082 | 4.879 | 0.293 | 0.446 | 0.000 | 0.626 | 15.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 93 | 165 | 174 | 422 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.09 | 2.20 | 5.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.230 | 12.068 | 0.538 | 0.496 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 134 | 274 | 0 | 634 | 0 | 520 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.04 | 0.00 | 4.73 | 0.00 | 3.88 | -0.01 |
time (sec) |
N/A | 0.109 | 0.480 | 16.321 | 0.000 | 0.687 | 0.000 | 0.723 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 197 | 405 | 0 | 92 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 1.48 | 0.00 | 0.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.213 | 0.888 | 7.307 | 0.000 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 136 | 241 | 0 | 81 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.19 | 0.00 | 0.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.131 | 0.470 | 8.819 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 138 | 191 | 0 | 780 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.25 | 0.00 | 5.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.133 | 0.292 | 8.408 | 0.000 | 0.165 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 90 | 103 | 0 | 938 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.02 | 0.00 | 9.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.100 | 6.241 | 0.000 | 0.178 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 170 | 199 | 0 | 1075 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 0.85 | 0.00 | 4.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.179 | 0.891 | 8.790 | 0.000 | 0.184 | 0.000 | 0.000 | 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 | 137 | 137 | 133 | 243 | 301 | 885 | 0 | 338 | -1 |
N.S. |
1 | 1.00 | 0.97 | 1.77 | 2.20 | 6.46 | 0.00 | 2.47 | -0.01 |
time (sec) |
N/A | 0.095 | 0.546 | 18.345 | 0.493 | 0.872 | 0.000 | 0.775 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 64 | 56 | 129 | 137 | 0 | 149 | 176 |
N.S. |
1 | 1.00 | 0.79 | 0.69 | 1.59 | 1.69 | 0.00 | 1.84 | 2.17 |
time (sec) |
N/A | 0.059 | 0.210 | 5.906 | 0.277 | 0.539 | 0.000 | 0.698 | 20.866 |
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 | 73 | 73 | 60 | 55 | 67 | 134 | 0 | 137 | 159 |
N.S. |
1 | 1.00 | 0.82 | 0.75 | 0.92 | 1.84 | 0.00 | 1.88 | 2.18 |
time (sec) |
N/A | 0.037 | 0.125 | 6.435 | 0.282 | 0.495 | 0.000 | 0.615 | 20.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 127 | 249 | 322 | 752 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 1.93 | 2.50 | 5.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 0.411 | 19.383 | 0.517 | 0.672 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 192 | 698 | 0 | 130 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.45 | 0.00 | 0.46 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.218 | 1.416 | 9.638 | 0.000 | 0.147 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 182 | 623 | 0 | 1432 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 2.32 | 0.00 | 5.32 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.182 | 1.128 | 10.108 | 0.000 | 0.216 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 174 | 483 | 0 | 1400 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 2.19 | 0.00 | 6.33 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.192 | 0.998 | 7.925 | 0.000 | 0.221 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 172 | 547 | 0 | 1531 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 2.45 | 0.00 | 6.87 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.169 | 0.932 | 9.721 | 0.000 | 0.215 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 214 | 527 | 0 | 1719 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.66 | 1.64 | 0.00 | 5.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.264 | 1.566 | 10.813 | 0.000 | 0.250 | 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 | 122 | 122 | 113 | 0 | 0 | 29 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 0.333 | 0.467 | 0.000 | 0.445 | 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 | 220 | 220 | 98 | 0 | 0 | 45 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.45 | 0.00 | 0.00 | 0.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.151 | 0.387 | 1.115 | 0.000 | 0.440 | 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 | 131 | 131 | 98 | 0 | 0 | 36 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.079 | 0.272 | 0.647 | 0.000 | 0.427 | 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 | 74 | 74 | 74 | 0 | 0 | 25 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.135 | 0.158 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 0 | 0 | 0 | 25 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 15.145 | 0.322 | 0.000 | 0.408 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 0 | 0 | 0 | 27 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 100.583 | 0.315 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 0 | 0 | 0 | 27 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 121.735 | 0.344 | 0.000 | 0.454 | 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 | 101 | 101 | 102 | 0 | 0 | 39 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.388 | 1.385 | 0.000 | 0.426 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 240 | 0 | 0 | 30 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.42 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.115 | 0.504 | 1.029 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 0 | 0 | 0 | 27 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 6.381 | 0.284 | 0.000 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 0 | 0 | 0 | 27 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 11.367 | 0.323 | 0.000 | 0.431 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 219 | 221 | 0 | 21338 | 0 | 0 | 1978 |
N.S. |
1 | 1.00 | 0.65 | 0.66 | 0.00 | 63.70 | 0.00 | 0.00 | 5.90 |
time (sec) |
N/A | 0.501 | 0.369 | 0.685 | 0.000 | 1.684 | 0.000 | 0.000 | 15.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 255 | 141 | 0 | 29175 | 0 | 0 | 1962 |
N.S. |
1 | 1.00 | 0.93 | 0.52 | 0.00 | 106.87 | 0.00 | 0.00 | 7.19 |
time (sec) |
N/A | 0.386 | 0.202 | 0.702 | 0.000 | 1.474 | 0.000 | 0.000 | 14.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 140 | 104 | 0 | 29221 | 0 | 0 | 1672 |
N.S. |
1 | 1.00 | 0.54 | 0.40 | 0.00 | 112.82 | 0.00 | 0.00 | 6.46 |
time (sec) |
N/A | 0.327 | 0.137 | 0.583 | 0.000 | 1.442 | 0.000 | 0.000 | 14.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 172 | 78 | 0 | 18879 | 0 | 0 | 652 |
N.S. | 1 | 1.00 | 0.64 | 0.29 | 0.00 | 70.71 | 0.00 | 0.00 | 2.44 |
time (sec) |
N/A | 0.192 | 0.117 | 0.638 | 0.000 | 1.501 | 0.000 | 0.000 | 16.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 264 | 96 | 0 | 29139 | 0 | 0 | 1439 |
N.S. | 1 | 1.00 | 1.00 | 0.36 | 0.00 | 110.38 | 0.00 | 0.00 | 5.45 |
time (sec) |
N/A | 0.258 | 0.158 | 0.753 | 0.000 | 4.000 | 0.000 | 0.000 | 15.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 181 | 136 | 0 | 29431 | 0 | 0 | 1573 |
N.S. | 1 | 1.00 | 0.63 | 0.47 | 0.00 | 102.55 | 0.00 | 0.00 | 5.48 |
time (sec) |
N/A | 0.305 | 0.294 | 0.963 | 0.000 | 14.643 | 0.000 | 0.000 | 15.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-2) | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 290 | 196 | 0 | 21564 | 0 | 0 | 1560 |
N.S. |
1 | 1.00 | 0.84 | 0.57 | 0.00 | 62.69 | 0.00 | 0.00 | 4.53 |
time (sec) |
N/A | 0.375 | 1.414 | 1.066 | 0.000 | 104.912 | 0.000 | 0.000 | 14.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 164 | 143 | 0 | 29350 | 0 | 0 | 1800 |
N.S. | 1 | 1.00 | 0.56 | 0.49 | 0.00 | 100.17 | 0.00 | 0.00 | 6.14 |
time (sec) |
N/A | 0.301 | 0.204 | 0.707 | 0.000 | 1.531 | 0.000 | 0.000 | 14.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 186 | 104 | 0 | 21185 | 0 | 0 | 665 |
N.S. | 1 | 1.00 | 0.66 | 0.37 | 0.00 | 75.39 | 0.00 | 0.00 | 2.37 |
time (sec) |
N/A | 0.324 | 0.180 | 0.687 | 0.000 | 1.570 | 0.000 | 0.000 | 15.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 231 | 76 | 0 | 25253 | 0 | 0 | 590 |
N.S. | 1 | 1.00 | 0.96 | 0.32 | 0.00 | 105.22 | 0.00 | 0.00 | 2.46 |
time (sec) |
N/A | 0.198 | 0.140 | 0.580 | 0.000 | 1.449 | 0.000 | 0.000 | 15.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 126 | 83 | 0 | 25429 | 0 | 0 | 609 |
N.S. | 1 | 1.00 | 0.51 | 0.34 | 0.00 | 103.79 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.197 | 0.087 | 0.523 | 0.000 | 1.425 | 0.000 | 0.000 | 15.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 196 | 114 | 0 | 21243 | 0 | 0 | 697 |
N.S. | 1 | 1.00 | 0.70 | 0.41 | 0.00 | 75.60 | 0.00 | 0.00 | 2.48 |
time (sec) |
N/A | 0.337 | 0.204 | 0.761 | 0.000 | 1.552 | 0.000 | 0.000 | 14.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-2) | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 333 | 162 | 0 | 29423 | 0 | 0 | 1503 |
N.S. |
1 | 1.00 | 1.12 | 0.55 | 0.00 | 99.40 | 0.00 | 0.00 | 5.08 |
time (sec) |
N/A | 0.276 | 1.508 | 0.903 | 0.000 | 4.090 | 0.000 | 0.000 | 16.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 228 | 137 | 0 | 872 | 0 | 0 | 1067 |
N.S. |
1 | 1.00 | 1.29 | 0.77 | 0.00 | 4.93 | 0.00 | 0.00 | 6.03 |
time (sec) |
N/A | 0.179 | 0.338 | 0.476 | 0.000 | 0.481 | 0.000 | 0.000 | 14.439 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 310 | 110 | 0 | 849 | 0 | 0 | 1119 |
N.S. |
1 | 1.00 | 2.09 | 0.74 | 0.00 | 5.74 | 0.00 | 0.00 | 7.56 |
time (sec) |
N/A | 0.124 | 0.216 | 0.425 | 0.000 | 0.479 | 0.000 | 0.000 | 14.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 198 | 99 | 0 | 815 | 0 | 0 | 1001 |
N.S. |
1 | 1.00 | 1.43 | 0.72 | 0.00 | 5.91 | 0.00 | 0.00 | 7.25 |
time (sec) |
N/A | 0.127 | 0.168 | 0.504 | 0.000 | 0.473 | 0.000 | 0.000 | 14.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 285 | 83 | 0 | 703 | 0 | 166 | 976 |
N.S. |
1 | 1.00 | 2.48 | 0.72 | 0.00 | 6.11 | 0.00 | 1.44 | 8.49 |
time (sec) |
N/A | 0.081 | 0.128 | 0.344 | 0.000 | 0.460 | 0.000 | 0.721 | 0.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 183 | 87 | 0 | 703 | 0 | 183 | 361 |
N.S. |
1 | 1.00 | 1.46 | 0.70 | 0.00 | 5.62 | 0.00 | 1.46 | 2.89 |
time (sec) |
N/A | 0.071 | 0.127 | 0.391 | 0.000 | 0.448 | 0.000 | 0.980 | 15.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 318 | 119 | 0 | 773 | 0 | 0 | 2031 |
N.S. |
1 | 1.00 | 2.34 | 0.88 | 0.00 | 5.68 | 0.00 | 0.00 | 14.93 |
time (sec) |
N/A | 0.125 | 0.188 | 0.516 | 0.000 | 0.508 | 0.000 | 0.000 | 15.361 |