Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 35 | 0 | 21 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.83 | 0.00 | 0.50 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.019 | 0.278 | 0.124 | 0.000 | 0.149 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 38 | 35 | 0 | 21 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.81 | 0.00 | 0.49 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.021 | 0.257 | 0.128 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 40 | 35 | 0 | 23 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.00 | 0.49 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.022 | 0.278 | 0.126 | 0.000 | 0.232 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 34 | 30 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.249 | 0.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 38 | 26 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.46 | 0.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.268 | 0.113 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 50 | 36 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 0.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.266 | 0.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 37 | 34 | 0 | 23 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.18 | 2.00 | 0.00 | 1.35 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.019 | 0.266 | 0.140 | 0.000 | 0.526 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 121 | 482 | 108 | 102 | 0 | 108 | 128 |
N.S. | 1 | 1.00 | 1.11 | 4.42 | 0.99 | 0.94 | 0.00 | 0.99 | 1.17 |
time (sec) |
N/A | 0.070 | 0.147 | 7.511 | 0.478 | 0.886 | 0.000 | 0.616 | 0.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 105 | 648 | 97 | 122 | 0 | 97 | 117 |
N.S. | 1 | 1.00 | 1.12 | 6.89 | 1.03 | 1.30 | 0.00 | 1.03 | 1.24 |
time (sec) |
N/A | 0.048 | 0.104 | 7.608 | 0.478 | 0.888 | 0.000 | 0.586 | 0.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 82 | 736 | 86 | 86 | 78 | 86 | 106 |
N.S. | 1 | 1.00 | 1.04 | 9.32 | 1.09 | 1.09 | 0.99 | 1.09 | 1.34 |
time (sec) |
N/A | 0.038 | 0.084 | 3.575 | 0.488 | 0.747 | 41.524 | 0.545 | 0.586 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 163 | 0 | 0 | 177 | 0 | 149 | 256 |
N.S. | 1 | 1.00 | 1.20 | 0.00 | 0.00 | 1.30 | 0.00 | 1.10 | 1.88 |
time (sec) |
N/A | 0.070 | 0.172 | 0.033 | 0.000 | 0.678 | 0.000 | 0.571 | 0.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 108 | 755 | 0 | 115 | 0 | 100 | 120 |
N.S. | 1 | 1.00 | 1.11 | 7.78 | 0.00 | 1.19 | 0.00 | 1.03 | 1.24 |
time (sec) |
N/A | 0.056 | 0.146 | 13.127 | 0.000 | 0.693 | 0.000 | 0.590 | 0.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 214 | 0 | 0 | 217 | 0 | 177 | 397 |
N.S. | 1 | 1.00 | 1.24 | 0.00 | 0.00 | 1.26 | 0.00 | 1.03 | 2.31 |
time (sec) |
N/A | 0.097 | 0.288 | 0.010 | 0.000 | 0.713 | 0.000 | 0.993 | 0.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 536 | 536 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 5.057 | 0.008 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 515 | 515 | 28 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.117 | 4.437 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 118 | 938 | 0 | 1943 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 8.30 | 0.00 | 17.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.010 | 0.028 | 12.878 | 0.000 | 1.383 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 538 | 538 | 161 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.167 | 10.091 | 0.008 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 556 | 556 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.214 | 10.098 | 0.010 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 124 | 489 | 126 | 133 | 0 | 126 | 148 |
N.S. | 1 | 1.00 | 0.93 | 3.68 | 0.95 | 1.00 | 0.00 | 0.95 | 1.11 |
time (sec) |
N/A | 0.062 | 0.271 | 6.605 | 0.471 | 0.566 | 0.000 | 1.367 | 0.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 119 | 656 | 115 | 153 | 0 | 115 | 137 |
N.S. | 1 | 1.00 | 1.03 | 5.66 | 0.99 | 1.32 | 0.00 | 0.99 | 1.18 |
time (sec) |
N/A | 0.055 | 0.235 | 6.419 | 0.465 | 0.668 | 0.000 | 1.227 | 0.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 112 | 477 | 104 | 121 | 0 | 104 | 126 |
N.S. | 1 | 1.00 | 1.11 | 4.72 | 1.03 | 1.20 | 0.00 | 1.03 | 1.25 |
time (sec) |
N/A | 0.045 | 0.196 | 6.464 | 0.479 | 0.507 | 0.000 | 1.262 | 0.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 112 | 484 | 104 | 125 | 0 | 104 | 126 |
N.S. | 1 | 1.00 | 1.11 | 4.79 | 1.03 | 1.24 | 0.00 | 1.03 | 1.25 |
time (sec) |
N/A | 0.042 | 0.139 | 6.670 | 0.467 | 0.441 | 0.000 | 1.106 | 0.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 184 | 0 | 0 | 227 | 0 | 167 | 375 |
N.S. | 1 | 1.00 | 1.16 | 0.00 | 0.00 | 1.44 | 0.00 | 1.06 | 2.37 |
time (sec) |
N/A | 0.078 | 0.301 | 0.013 | 0.000 | 0.444 | 0.000 | 0.923 | 0.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 194 | 0 | 0 | 238 | 0 | 190 | 409 |
N.S. | 1 | 1.00 | 1.06 | 0.00 | 0.00 | 1.30 | 0.00 | 1.04 | 2.23 |
time (sec) |
N/A | 0.094 | 0.356 | 0.013 | 0.000 | 0.493 | 0.000 | 1.076 | 0.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 197 | 0 | 0 | 265 | 0 | 181 | 416 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 1.27 | 0.00 | 0.87 | 2.00 |
time (sec) |
N/A | 0.107 | 0.378 | 0.011 | 0.000 | 0.491 | 0.000 | 0.814 | 0.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 157 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.163 | 5.416 | 0.013 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.163 | 4.997 | 0.009 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 157 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.170 | 10.101 | 0.004 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 563 | 563 | 168 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.209 | 10.116 | 0.013 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 581 | 581 | 173 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.260 | 10.109 | 0.010 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 110 | 211 | 151 | 253 | 0 | 160 | 82 |
N.S. | 1 | 1.00 | 0.81 | 1.55 | 1.11 | 1.86 | 0.00 | 1.18 | 0.60 |
time (sec) |
N/A | 0.064 | 0.182 | 3.250 | 0.486 | 1.498 | 0.000 | 0.733 | 0.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 103 | 204 | 140 | 246 | 0 | 140 | 71 |
N.S. | 1 | 1.00 | 0.85 | 1.69 | 1.16 | 2.03 | 0.00 | 1.16 | 0.59 |
time (sec) |
N/A | 0.045 | 0.132 | 2.732 | 0.478 | 1.391 | 0.000 | 0.825 | 0.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 96 | 199 | 129 | 241 | 0 | 129 | 60 |
N.S. | 1 | 1.00 | 0.91 | 1.88 | 1.22 | 2.27 | 0.00 | 1.22 | 0.57 |
time (sec) |
N/A | 0.034 | 0.103 | 2.697 | 0.486 | 2.032 | 0.000 | 1.020 | 0.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 76 | 188 | 118 | 189 | 0 | 118 | 49 |
N.S. | 1 | 1.00 | 0.84 | 2.07 | 1.30 | 2.08 | 0.00 | 1.30 | 0.54 |
time (sec) |
N/A | 0.010 | 0.088 | 1.431 | 0.498 | 1.646 | 0.000 | 1.145 | 0.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 117 | 0 | 0 | 270 | 0 | 216 | 91 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 1.86 | 0.00 | 1.49 | 0.63 |
time (sec) |
N/A | 0.063 | 0.156 | 0.055 | 0.000 | 0.996 | 0.000 | 1.087 | 0.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 155 | 0 | 0 | 307 | 0 | 192 | 109 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 1.88 | 0.00 | 1.18 | 0.67 |
time (sec) |
N/A | 0.094 | 0.269 | 0.020 | 0.000 | 1.027 | 0.000 | 0.840 | 0.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 184 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 6.447 | 0.015 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 37 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 6.006 | 0.043 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 119 | 188 | 0 | 553 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 1.57 | 0.00 | 4.61 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.011 | 0.025 | 1.484 | 0.000 | 2.659 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 56 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 20.048 | 0.015 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 20.133 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 57 | 147 | 74 | 64 | 88 | 75 | 62 |
N.S. | 1 | 1.00 | 0.73 | 1.88 | 0.95 | 0.82 | 1.13 | 0.96 | 0.79 |
time (sec) |
N/A | 0.038 | 0.051 | 1.399 | 0.469 | 0.574 | 12.601 | 0.706 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 53 | 141 | 63 | 57 | 75 | 64 | 51 |
N.S. | 1 | 1.00 | 0.84 | 2.24 | 1.00 | 0.90 | 1.19 | 1.02 | 0.81 |
time (sec) |
N/A | 0.033 | 0.044 | 1.275 | 0.460 | 0.700 | 9.652 | 0.629 | 0.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 44 | 135 | 52 | 52 | 58 | 53 | 36 |
N.S. | 1 | 1.00 | 0.92 | 2.81 | 1.08 | 1.08 | 1.21 | 1.10 | 0.75 |
time (sec) |
N/A | 0.023 | 0.029 | 1.363 | 0.465 | 0.575 | 7.031 | 0.753 | 0.474 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 126 | 41 | 41 | 42 | 42 | 25 |
N.S. | 1 | 1.00 | 1.00 | 3.82 | 1.24 | 1.24 | 1.27 | 1.27 | 0.76 |
time (sec) |
N/A | 0.015 | 0.024 | 0.714 | 0.474 | 0.678 | 4.176 | 0.808 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 110 | 302 | 0 | 215 | 0 | 155 | 77 |
N.S. | 1 | 1.00 | 0.64 | 1.75 | 0.00 | 1.24 | 0.00 | 0.90 | 0.45 |
time (sec) |
N/A | 0.098 | 0.129 | 4.179 | 0.000 | 0.588 | 0.000 | 0.736 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 127 | 315 | 0 | 252 | 0 | 169 | 82 |
N.S. | 1 | 1.00 | 0.66 | 1.65 | 0.00 | 1.32 | 0.00 | 0.88 | 0.43 |
time (sec) |
N/A | 0.110 | 0.185 | 8.084 | 0.000 | 0.546 | 0.000 | 0.746 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 177 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.121 | 6.140 | 0.016 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 52 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.071 | 5.749 | 0.047 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 56 | 138 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 2.26 | 0.00 | 1.70 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.013 | 0.944 | 0.000 | 8.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.085 | 10.028 | 0.016 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 148 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.143 | 10.119 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 109 | 186 | 0 | 282 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.44 | 0.00 | 2.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.015 | 1.881 | 5.451 | 0.000 | 1.778 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 109 | 186 | 0 | 282 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.55 | 0.00 | 2.35 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.016 | 1.926 | 5.438 | 0.000 | 1.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 112 | 0 | 0 | 393 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.00 | 3.17 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 2.105 | 0.035 | 0.000 | 0.908 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 114 | 0 | 0 | 403 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 3.39 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 2.177 | 0.036 | 0.000 | 0.879 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 119 | 0 | 0 | 171 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 1.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 2.090 | 0.035 | 0.000 | 4.469 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 119 | 0 | 0 | 171 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 1.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.018 | 2.187 | 0.033 | 0.000 | 2.359 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 121 | 0 | 0 | 207 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 1.80 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 2.089 | 0.032 | 0.000 | 1.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 125 | 0 | 0 | 211 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 1.77 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 2.109 | 0.031 | 0.000 | 1.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 110 | 212 | 151 | 198 | 0 | 160 | 82 |
N.S. | 1 | 1.00 | 0.59 | 1.13 | 0.80 | 1.05 | 0.00 | 0.85 | 0.44 |
time (sec) |
N/A | 0.142 | 0.184 | 3.381 | 0.480 | 0.919 | 0.000 | 1.674 | 0.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 105 | 208 | 140 | 193 | 0 | 140 | 71 |
N.S. | 1 | 1.00 | 0.61 | 1.20 | 0.81 | 1.12 | 0.00 | 0.81 | 0.41 |
time (sec) |
N/A | 0.124 | 0.136 | 2.922 | 0.473 | 1.087 | 0.000 | 1.963 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 97 | 202 | 129 | 186 | 0 | 129 | 60 |
N.S. | 1 | 1.00 | 0.61 | 1.28 | 0.82 | 1.18 | 0.00 | 0.82 | 0.38 |
time (sec) |
N/A | 0.110 | 0.109 | 2.916 | 0.494 | 0.703 | 0.000 | 1.180 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 78 | 190 | 118 | 230 | 0 | 118 | 49 |
N.S. | 1 | 1.00 | 0.55 | 1.33 | 0.83 | 1.61 | 0.00 | 0.83 | 0.34 |
time (sec) |
N/A | 0.083 | 0.096 | 1.139 | 0.484 | 0.712 | 0.000 | 1.219 | 0.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 121 | 562 | 0 | 315 | 0 | 210 | 91 |
N.S. | 1 | 1.00 | 0.61 | 2.85 | 0.00 | 1.60 | 0.00 | 1.07 | 0.46 |
time (sec) |
N/A | 0.130 | 0.168 | 9.984 | 0.000 | 2.593 | 0.000 | 0.962 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 155 | 577 | 0 | 352 | 0 | 192 | 107 |
N.S. | 1 | 1.00 | 0.72 | 2.68 | 0.00 | 1.64 | 0.00 | 0.89 | 0.50 |
time (sec) |
N/A | 0.159 | 0.255 | 25.009 | 0.000 | 1.644 | 0.000 | 0.842 | 0.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 190 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.083 | 7.027 | 0.025 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 184 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 6.828 | 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 | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 109 | 186 | 0 | 282 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.55 | 0.00 | 2.35 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.015 | 0.035 | 0.001 | 0.000 | 0.956 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 63 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.028 | 6.426 | 0.039 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 37 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 20.060 | 0.017 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 37 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.080 | 20.059 | 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 | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 138 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 2.26 | 0.00 | 1.70 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 1.773 | 1.414 | 0.000 | 0.621 | 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 | 61 | 61 | 54 | 139 | 0 | 115 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 2.28 | 0.00 | 1.89 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.013 | 1.801 | 1.412 | 0.000 | 0.611 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 62 | 0 | 0 | 275 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 3.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.017 | 2.024 | 0.035 | 0.000 | 0.580 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 65 | 0 | 0 | 274 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 3.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.018 | 1.977 | 0.033 | 0.000 | 0.710 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 75 | 0 | 0 | 145 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 1.71 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.019 | 1.985 | 0.031 | 0.000 | 0.587 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 75 | 0 | 0 | 145 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 1.71 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.016 | 2.061 | 0.027 | 0.000 | 0.620 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 83 | 0 | 0 | 207 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 2.16 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.022 | 2.038 | 0.032 | 0.000 | 0.645 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 86 | 0 | 0 | 211 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 2.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.023 | 2.001 | 0.029 | 0.000 | 0.522 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 57 | 147 | 74 | 64 | 0 | 75 | 62 |
N.S. | 1 | 1.00 | 0.73 | 1.88 | 0.95 | 0.82 | 0.00 | 0.96 | 0.79 |
time (sec) |
N/A | 0.037 | 0.056 | 1.651 | 0.481 | 0.498 | 0.000 | 1.513 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 142 | 63 | 59 | 0 | 64 | 51 |
N.S. | 1 | 1.00 | 0.83 | 2.25 | 1.00 | 0.94 | 0.00 | 1.02 | 0.81 |
time (sec) |
N/A | 0.032 | 0.048 | 1.533 | 0.465 | 0.498 | 0.000 | 1.124 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 44 | 136 | 52 | 52 | 0 | 53 | 36 |
N.S. | 1 | 1.00 | 0.92 | 2.83 | 1.08 | 1.08 | 0.00 | 1.10 | 0.75 |
time (sec) |
N/A | 0.023 | 0.034 | 1.420 | 0.490 | 0.580 | 0.000 | 1.037 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 125 | 41 | 41 | 0 | 42 | 25 |
N.S. | 1 | 1.00 | 1.00 | 3.79 | 1.24 | 1.24 | 0.00 | 1.27 | 0.76 |
time (sec) |
N/A | 0.015 | 0.025 | 0.550 | 0.492 | 0.458 | 0.000 | 1.864 | 0.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 111 | 302 | 0 | 215 | 0 | 155 | 77 |
N.S. | 1 | 1.00 | 0.64 | 1.75 | 0.00 | 1.24 | 0.00 | 0.90 | 0.45 |
time (sec) |
N/A | 0.094 | 0.116 | 3.683 | 0.000 | 0.456 | 0.000 | 1.065 | 0.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 127 | 314 | 0 | 252 | 0 | 169 | 81 |
N.S. | 1 | 1.00 | 0.66 | 1.64 | 0.00 | 1.32 | 0.00 | 0.88 | 0.42 |
time (sec) |
N/A | 0.106 | 0.190 | 10.113 | 0.000 | 0.505 | 0.000 | 1.318 | 0.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 184 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.126 | 6.807 | 0.019 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 179 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 6.610 | 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 | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 138 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 2.26 | 0.00 | 1.70 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.012 | 0.013 | 0.000 | 0.000 | 1.174 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 68 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 6.120 | 0.053 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 52 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 10.059 | 0.012 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 52 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.108 | 10.053 | 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 | B | F(-1) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 131 | 0 | 275 | 0 | 94 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 1.59 | 0.00 | 0.54 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.635 | 0.015 | 0.495 | 0.000 | 17.565 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F(-1) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 112 | 0 | 189 | 0 | 92 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 1.39 | 0.00 | 0.68 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.387 | 0.008 | 0.490 | 0.000 | 2.066 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-1) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 100 | 0 | 93 | 0 | 85 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.82 | 0.00 | 0.75 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.310 | 0.011 | 0.477 | 0.000 | 3.886 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 44 | 39 | 58 | 37 | 121 | 0 | 49 |
N.S. | 1 | 1.00 | 0.66 | 0.58 | 0.87 | 0.55 | 1.81 | 0.00 | 0.73 |
time (sec) |
N/A | 0.020 | 0.267 | 0.101 | 0.279 | 1.981 | 38.397 | 0.000 | 0.642 |
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 | 104 | 104 | 67 | 62 | 94 | 60 | 0 | 0 | 75 |
N.S. |
1 | 1.00 | 0.64 | 0.60 | 0.90 | 0.58 | 0.00 | 0.00 | 0.72 |
time (sec) |
N/A | 0.031 | 0.372 | 0.106 | 0.268 | 1.214 | 0.000 | 0.000 | 0.692 |
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 | 141 | 141 | 91 | 86 | 128 | 84 | 0 | 0 | 100 |
N.S. |
1 | 1.00 | 0.65 | 0.61 | 0.91 | 0.60 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.043 | 0.464 | 0.105 | 0.267 | 1.820 | 0.000 | 0.000 | 0.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 123 | 0 | 0 | 0 | 94 | 0 | -1 |
N.S. | 1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.52 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 10.107 | 0.015 | 0.000 | 0.000 | 57.559 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 97 | 0 | 0 | 0 | 94 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.68 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 10.086 | 0.010 | 0.000 | 0.000 | 4.937 | 0.000 | 0.000 |