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 | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 25 | 27 | 144 | 26 | 28 | 26 | 28 | 27 |
N.S. | 1 | 1.19 | 1.29 | 6.86 | 1.24 | 1.33 | 1.24 | 1.33 | 1.29 |
time (sec) |
N/A | 0.253 | 0.015 | 1.055 | 0.296 | 0.345 | 0.947 | 0.430 | 3.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 46 | 19 | 18 | 17 | 17 | 15 | 0 | 19 |
N.S. | 1 | 2.09 | 0.86 | 0.82 | 0.77 | 0.77 | 0.68 | 0.00 | 0.86 |
time (sec) |
N/A | 0.097 | 0.051 | 0.130 | 0.310 | 0.371 | 3.426 | 0.000 | 3.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 103 | 58 | 114 | 244 | 250 | 144 | 360 | 783 |
N.S. | 1 | 2.86 | 1.61 | 3.17 | 6.78 | 6.94 | 4.00 | 10.00 | 21.75 |
time (sec) |
N/A | 10.890 | 0.141 | 1.559 | 0.400 | 0.382 | 0.260 | 0.461 | 4.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | C | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 45 | 29 | 61 | 32 | 32 | 36 | 27 | 37 |
N.S. | 1 | 2.05 | 1.32 | 2.77 | 1.45 | 1.45 | 1.64 | 1.23 | 1.68 |
time (sec) |
N/A | 0.041 | 0.006 | 0.325 | 0.267 | 0.353 | 0.070 | 0.397 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 22 | 22 | 14 | 19 | 19 | 12 | 13 |
N.S. | 1 | 0.00 | 0.85 | 0.85 | 0.54 | 0.73 | 0.73 | 0.46 | 0.50 |
time (sec) |
N/A | 0.411 | 0.037 | 14.001 | 0.546 | 0.361 | 0.129 | 0.408 | 3.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 52 | 31 | 97 | 91 | 107 | 148 | -1 |
N.S. | 1 | 0.00 | 2.00 | 1.19 | 3.73 | 3.50 | 4.12 | 5.69 | -0.04 |
time (sec) |
N/A | 3.642 | 0.149 | 3.522 | 0.570 | 0.333 | 0.242 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 27 | 35 | 34 | 25 | 32 | 25 | 24 |
N.S. | 1 | 0.00 | 0.90 | 1.17 | 1.13 | 0.83 | 1.07 | 0.83 | 0.80 |
time (sec) |
N/A | 4.583 | 0.074 | 124.291 | 0.574 | 0.374 | 0.154 | 0.462 | 3.493 |
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 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.83 | 0.83 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.001 | 0.000 | 6.307 | 0.334 | 0.353 | 0.004 | 0.427 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 228 | 23 | 69 | 68 | 145 | 76 | 0 | 68 |
N.S. | 1 | 9.12 | 0.92 | 2.76 | 2.72 | 5.80 | 3.04 | 0.00 | 2.72 |
time (sec) |
N/A | 0.814 | 0.235 | 0.282 | 0.373 | 0.353 | 5.030 | 0.000 | 0.321 |
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 | 21 | 22 | 24 | 25 | 34 | 30 | 29 | 24 | 22 |
N.S. | 1 | 1.05 | 1.14 | 1.19 | 1.62 | 1.43 | 1.38 | 1.14 | 1.05 |
time (sec) |
N/A | 0.062 | 0.063 | 1.345 | 0.306 | 0.368 | 0.119 | 0.410 | 3.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 22 | 21 | 0 | 25 | 22 | 35 | -1 |
N.S. | 1 | 0.00 | 0.88 | 0.84 | 0.00 | 1.00 | 0.88 | 1.40 | -0.04 |
time (sec) |
N/A | 4.497 | 0.325 | 0.478 | 0.000 | 0.369 | 0.144 | 0.427 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | A | F | B | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 365 | 51 | 47 | 0 | 57 | 60 | 64 | -1 |
N.S. | 1 | 14.04 | 1.96 | 1.81 | 0.00 | 2.19 | 2.31 | 2.46 | -0.04 |
time (sec) |
N/A | 4.830 | 0.092 | 1.552 | 0.000 | 0.398 | 0.237 | 0.416 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 44 | 31 | 24 | 23 | 23 | 29 | 23 | 23 |
N.S. | 1 | 2.10 | 1.48 | 1.14 | 1.10 | 1.10 | 1.38 | 1.10 | 1.10 |
time (sec) |
N/A | 0.069 | 0.031 | 0.105 | 0.282 | 0.380 | 0.044 | 0.406 | 3.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 65 | 30 | 26 | 24 | 26 | 24 | 0 | 23 |
N.S. | 1 | 2.10 | 0.97 | 0.84 | 0.77 | 0.84 | 0.77 | 0.00 | 0.74 |
time (sec) |
N/A | 0.316 | 0.347 | 0.120 | 0.606 | 0.349 | 0.213 | 0.000 | 3.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | F(-1) | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 26 | 26 | 42 | 24 | 0 | -1 |
N.S. |
1 | 0.00 | 1.00 | 0.90 | 0.90 | 1.45 | 0.83 | 0.00 | -0.03 |
time (sec) |
N/A | 12.949 | 0.129 | 0.273 | 0.374 | 0.353 | 0.777 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 16 | 16 | 13 | 12 | 17 | 10 | 12 | 14 |
N.S. | 1 | 0.57 | 0.57 | 0.46 | 0.43 | 0.61 | 0.36 | 0.43 | 0.50 |
time (sec) |
N/A | 0.007 | 0.002 | 0.178 | 0.275 | 0.336 | 0.029 | 0.403 | 0.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | B | B | B | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 86 | 81 | 114 | 136 | 90 | 0 | 79 |
N.S. | 1 | 0.00 | 2.77 | 2.61 | 3.68 | 4.39 | 2.90 | 0.00 | 2.55 |
time (sec) |
N/A | 4.130 | 0.130 | 0.965 | 0.413 | 0.384 | 0.340 | 0.000 | 3.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 35 | 18 | 20 | 17 | 19 | 19 | 19 | 21 |
N.S. | 1 | 1.59 | 0.82 | 0.91 | 0.77 | 0.86 | 0.86 | 0.86 | 0.95 |
time (sec) |
N/A | 0.581 | 0.041 | 2.505 | 0.296 | 0.356 | 0.038 | 0.414 | 3.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 27 | 27 | 32 | 28 | 30 | 26 | 31 | 26 |
N.S. | 1 | 0.96 | 0.96 | 1.14 | 1.00 | 1.07 | 0.93 | 1.11 | 0.93 |
time (sec) |
N/A | 0.470 | 0.792 | 1.916 | 0.314 | 0.378 | 0.215 | 0.420 | 6.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 56 | 19 | 46 | 46 | 51 | 44 | 55 | 40 |
N.S. | 1 | 2.67 | 0.90 | 2.19 | 2.19 | 2.43 | 2.10 | 2.62 | 1.90 |
time (sec) |
N/A | 0.202 | 0.599 | 0.296 | 0.499 | 0.364 | 0.068 | 0.405 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 46 | 470 | 30 | 32 | 48 | 56 | 32 |
N.S. | 1 | 0.00 | 1.77 | 18.08 | 1.15 | 1.23 | 1.85 | 2.15 | 1.23 |
time (sec) |
N/A | 14.938 | 0.260 | 12.492 | 0.358 | 0.401 | 23.127 | 0.804 | 3.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 36 | 22 | 36 | 43 | 18 | 17 | 31 | 12 |
N.S. | 1 | 1.57 | 0.96 | 1.57 | 1.87 | 0.78 | 0.74 | 1.35 | 0.52 |
time (sec) |
N/A | 0.081 | 0.016 | 0.623 | 0.363 | 0.382 | 0.051 | 0.420 | 3.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 33 | 194 | 30 | 25 | 22 | 26 | 18 |
N.S. | 1 | 0.00 | 1.27 | 7.46 | 1.15 | 0.96 | 0.85 | 1.00 | 0.69 |
time (sec) |
N/A | 1.388 | 0.080 | 0.310 | 0.537 | 0.345 | 0.250 | 0.434 | 3.516 |
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 | 17 | 20 | 16 | 16 | 15 | 15 | 17 | 15 | 15 |
N.S. | 1 | 1.18 | 0.94 | 0.94 | 0.88 | 0.88 | 1.00 | 0.88 | 0.88 |
time (sec) |
N/A | 0.100 | 0.034 | 0.215 | 0.302 | 0.392 | 0.079 | 0.430 | 3.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | C | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 46 | 30 | 44 | 68 | 31 | 56 | 32 | 32 |
N.S. | 1 | 1.77 | 1.15 | 1.69 | 2.62 | 1.19 | 2.15 | 1.23 | 1.23 |
time (sec) |
N/A | 0.103 | 0.142 | 0.224 | 0.316 | 0.420 | 0.096 | 0.410 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F | A | A | F | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 26 | 36 | 0 | 34 | 29 | 0 | -1 |
N.S. | 1 | 0.00 | 0.76 | 1.06 | 0.00 | 1.00 | 0.85 | 0.00 | -0.03 |
time (sec) |
N/A | 2.202 | 0.079 | 0.227 | 0.000 | 0.359 | 7.421 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | C | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 162 | 42 | 960 | 108 | 82 | 51 | 93 | 178 |
N.S. | 1 | 6.23 | 1.62 | 36.92 | 4.15 | 3.15 | 1.96 | 3.58 | 6.85 |
time (sec) |
N/A | 1.532 | 0.098 | 7.409 | 0.331 | 0.396 | 0.079 | 0.433 | 3.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 28 | 20 | 25 | 17 | 17 | 22 | 38 | 22 |
N.S. | 1 | 1.22 | 0.87 | 1.09 | 0.74 | 0.74 | 0.96 | 1.65 | 0.96 |
time (sec) |
N/A | 0.028 | 0.017 | 0.214 | 0.306 | 0.440 | 0.290 | 0.404 | 3.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 53 | 29 | 56 | 28 | 24 | 28 | -1 |
N.S. | 1 | 0.00 | 1.96 | 1.07 | 2.07 | 1.04 | 0.89 | 1.04 | -0.04 |
time (sec) |
N/A | 6.247 | 0.138 | 0.301 | 0.335 | 0.350 | 0.109 | 0.445 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 30 | 34 | 33 | 33 | 36 | 42 | 32 | 31 |
N.S. | 1 | 1.03 | 1.17 | 1.14 | 1.14 | 1.24 | 1.45 | 1.10 | 1.07 |
time (sec) |
N/A | 0.039 | 0.021 | 0.301 | 0.279 | 0.354 | 0.043 | 0.406 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 22 | 317 | 19 | 21 | 22 | 19 | 23 |
N.S. | 1 | 0.00 | 1.00 | 14.41 | 0.86 | 0.95 | 1.00 | 0.86 | 1.05 |
time (sec) |
N/A | 1.417 | 0.074 | 0.252 | 0.330 | 0.369 | 0.285 | 0.408 | 3.420 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 24 | 27 | 58 | 44 | 37 | 27 | 35 | 30 |
N.S. | 1 | 1.14 | 1.29 | 2.76 | 2.10 | 1.76 | 1.29 | 1.67 | 1.43 |
time (sec) |
N/A | 0.293 | 0.033 | 0.253 | 0.314 | 0.387 | 0.079 | 0.409 | 3.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 21 | 21 | 22 | 20 | 20 | 22 | 20 |
N.S. | 1 | 0.00 | 0.91 | 0.91 | 0.96 | 0.87 | 0.87 | 0.96 | 0.87 |
time (sec) |
N/A | 1.526 | 0.096 | 0.036 | 0.309 | 0.362 | 0.104 | 0.435 | 3.401 |
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 | 28 | 35 | 27 | 33 | 44 | 48 | 48 | 47 | 40 |
N.S. | 1 | 1.25 | 0.96 | 1.18 | 1.57 | 1.71 | 1.71 | 1.68 | 1.43 |
time (sec) |
N/A | 0.076 | 0.023 | 0.375 | 0.289 | 0.336 | 0.571 | 0.395 | 3.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | F | A | A | F(-1) | F(-1) | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 31 | 0 | 32 | 34 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 1.03 | 0.00 | 1.07 | 1.13 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 6.387 | 0.100 | 0.683 | 0.590 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 138 | 312 | 160 | 119 | 92 | 128 | 113 | 494 |
N.S. | 1 | 7.67 | 17.33 | 8.89 | 6.61 | 5.11 | 7.11 | 6.28 | 27.44 |
time (sec) |
N/A | 0.218 | 0.144 | 0.440 | 0.296 | 0.381 | 4.277 | 0.395 | 3.564 |
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 | 27 | 26 | 26 | 25 | 24 | 24 | 20 | 26 | 34 |
N.S. | 1 | 0.96 | 0.96 | 0.93 | 0.89 | 0.89 | 0.74 | 0.96 | 1.26 |
time (sec) |
N/A | 0.071 | 0.007 | 0.569 | 0.273 | 0.415 | 0.098 | 0.399 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 48 | 42 | 41 | 40 | 40 | 0 | 40 | -1 |
N.S. |
1 | 1.60 | 1.40 | 1.37 | 1.33 | 1.33 | 0.00 | 1.33 | -0.03 |
time (sec) |
N/A | 1.432 | 0.059 | 1.759 | 0.342 | 0.398 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 23 | 30 | 25 | 25 | 22 | 25 | 21 |
N.S. | 1 | 0.00 | 0.92 | 1.20 | 1.00 | 1.00 | 0.88 | 1.00 | 0.84 |
time (sec) |
N/A | 4.605 | 0.172 | 8.038 | 0.336 | 0.370 | 0.077 | 0.424 | 3.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 61 | 55 | 45 | 82 | 82 | 0 | 82 | 78 |
N.S. |
1 | 1.97 | 1.77 | 1.45 | 2.65 | 2.65 | 0.00 | 2.65 | 2.52 |
time (sec) |
N/A | 2.037 | 2.565 | 1.878 | 0.733 | 0.373 | 0.000 | 0.496 | 4.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 31 | 61 | 34 | 28 | 42 | 53 | 85 |
N.S. | 1 | 0.00 | 1.00 | 1.97 | 1.10 | 0.90 | 1.35 | 1.71 | 2.74 |
time (sec) |
N/A | 24.479 | 0.077 | 41.828 | 0.514 | 0.372 | 36.284 | 0.629 | 3.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 12 | 14 | 10 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 0.86 | 1.00 | 0.71 | 1.00 | 1.00 |
time (sec) |
N/A | 0.047 | 0.007 | 0.181 | 0.299 | 0.360 | 0.027 | 0.416 | 3.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 26 | 396 | 24 | 29 | 24 | 62 | 25 |
N.S. | 1 | 0.00 | 0.84 | 12.77 | 0.77 | 0.94 | 0.77 | 2.00 | 0.81 |
time (sec) |
N/A | 3.673 | 0.125 | 0.579 | 0.333 | 0.363 | 0.348 | 0.465 | 3.902 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | A | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 65 | 61 | 48 | 77 | 61 | 57 | 55 |
N.S. | 1 | 0.00 | 2.32 | 2.18 | 1.71 | 2.75 | 2.18 | 2.04 | 1.96 |
time (sec) |
N/A | 7.974 | 0.092 | 0.362 | 0.375 | 0.351 | 0.424 | 0.501 | 4.513 |
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 | 22 | 26 | 25 | 44 | 24 | 30 | 32 | 24 | 20 |
N.S. | 1 | 1.18 | 1.14 | 2.00 | 1.09 | 1.36 | 1.45 | 1.09 | 0.91 |
time (sec) |
N/A | 0.099 | 0.104 | 0.474 | 0.515 | 0.348 | 0.063 | 0.413 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 22 | 24 | 66 | 66 | 54 | 79 | 236 |
N.S. | 1 | 0.00 | 0.92 | 1.00 | 2.75 | 2.75 | 2.25 | 3.29 | 9.83 |
time (sec) |
N/A | 0.608 | 0.087 | 10.464 | 0.345 | 0.369 | 0.082 | 0.450 | 3.802 |
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 | 20 | 20 | 20 | 16 | 18 | 15 | 14 | 17 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.90 | 0.75 | 0.70 | 0.85 | 0.75 |
time (sec) |
N/A | 0.080 | 1.167 | 14.849 | 0.542 | 0.380 | 0.050 | 0.458 | 3.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 20 | 17 | 17 | 16 | 16 | 15 | 16 | 16 |
N.S. | 1 | 1.54 | 1.31 | 1.31 | 1.23 | 1.23 | 1.15 | 1.23 | 1.23 |
time (sec) |
N/A | 0.003 | 0.001 | 0.408 | 0.276 | 0.336 | 0.009 | 0.416 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 108 | 25 | 28 | 29 | 29 | 24 | 0 | 32 |
N.S. | 1 | 4.00 | 0.93 | 1.04 | 1.07 | 1.07 | 0.89 | 0.00 | 1.19 |
time (sec) |
N/A | 0.444 | 0.289 | 0.290 | 0.414 | 0.358 | 2.189 | 0.000 | 3.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | C | B | A | A | B | B |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 676 | 50 | 28 | 24 | 50 | 24 |
N.S. | 1 | 0.00 | 0.00 | 28.17 | 2.08 | 1.17 | 1.00 | 2.08 | 1.00 |
time (sec) |
N/A | 0.441 | 46.405 | 19.818 | 0.543 | 0.364 | 0.191 | 0.434 | 3.882 |
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 | 6 | 4 | 4 | 5 | 4 | 4 | 3 | 5 | 4 |
N.S. | 1 | 0.67 | 0.67 | 0.83 | 0.67 | 0.67 | 0.50 | 0.83 | 0.67 |
time (sec) |
N/A | 0.001 | 0.000 | 0.154 | 0.287 | 0.367 | 0.006 | 0.410 | 0.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 25 | 25 | 47 | 34 | 39 | 34 | 57 |
N.S. | 1 | 0.00 | 1.04 | 1.04 | 1.96 | 1.42 | 1.62 | 1.42 | 2.38 |
time (sec) |
N/A | 48.605 | 0.239 | 18.512 | 0.579 | 0.353 | 0.131 | 0.412 | 3.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | C | B | A | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 61 | 8703 | 78 | 42 | 42 | 74 | 67 |
N.S. | 1 | 0.00 | 2.26 | 322.33 | 2.89 | 1.56 | 1.56 | 2.74 | 2.48 |
time (sec) |
N/A | 8.091 | 0.665 | 13.704 | 0.591 | 0.366 | 0.188 | 1.104 | 0.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 25 | 135 | 27 | 22 | 0 | 0 | 29 |
N.S. |
1 | 0.00 | 1.00 | 5.40 | 1.08 | 0.88 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 12.205 | 0.316 | 0.723 | 0.394 | 0.428 | 0.000 | 0.000 | 3.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 23 | 23 | 20 | 39 | 26 | 15 | 19 | 19 |
N.S. | 1 | 1.21 | 1.21 | 1.05 | 2.05 | 1.37 | 0.79 | 1.00 | 1.00 |
time (sec) |
N/A | 0.146 | 0.049 | 10.354 | 0.512 | 0.421 | 0.038 | 0.409 | 3.278 |
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 | 18 | 18 | 17 | 19 | 18 | 18 | 20 | 20 | 16 |
N.S. | 1 | 1.00 | 0.94 | 1.06 | 1.00 | 1.00 | 1.11 | 1.11 | 0.89 |
time (sec) |
N/A | 0.046 | 0.006 | 1.362 | 0.283 | 0.373 | 0.294 | 0.405 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 16 | 14 | 13 | 12 | 12 | 10 | 12 | 11 |
N.S. | 1 | 0.67 | 0.58 | 0.54 | 0.50 | 0.50 | 0.42 | 0.50 | 0.46 |
time (sec) |
N/A | 0.005 | 0.000 | 0.345 | 0.274 | 0.344 | 0.009 | 0.409 | 3.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 43 | 37 | 0 | 58 | 45 | 71 | 65 | 45 |
N.S. | 1 | 1.54 | 1.32 | 0.00 | 2.07 | 1.61 | 2.54 | 2.32 | 1.61 |
time (sec) |
N/A | 20.788 | 0.094 | 0.014 | 0.535 | 0.351 | 0.691 | 0.633 | 3.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 45 | 48 | 37 | 34 | 34 | 36 | 35 | 32 |
N.S. | 1 | 2.14 | 2.29 | 1.76 | 1.62 | 1.62 | 1.71 | 1.67 | 1.52 |
time (sec) |
N/A | 0.017 | 0.008 | 0.295 | 0.271 | 0.399 | 0.048 | 0.395 | 3.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 187 | 26 | 26 | 31 | 25 | 29 | 123 | -1 |
N.S. | 1 | 6.68 | 0.93 | 0.93 | 1.11 | 0.89 | 1.04 | 4.39 | -0.04 |
time (sec) |
N/A | 0.489 | 0.149 | 16.791 | 0.523 | 0.349 | 0.177 | 0.496 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 50 | 51 | 48 | 42 | 44 | 41 | 45 | 43 |
N.S. | 1 | 1.25 | 1.28 | 1.20 | 1.05 | 1.10 | 1.02 | 1.12 | 1.08 |
time (sec) |
N/A | 0.036 | 0.017 | 0.306 | 0.299 | 0.349 | 0.066 | 0.404 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 15 | 13 | 14 | 15 | 9 | 8 | 13 | 9 |
N.S. | 1 | 1.36 | 1.18 | 1.27 | 1.36 | 0.82 | 0.73 | 1.18 | 0.82 |
time (sec) |
N/A | 0.010 | 0.002 | 0.153 | 0.294 | 0.340 | 0.030 | 0.414 | 3.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 11 | 15 | 8 | 8 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.22 | 1.67 | 0.89 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.031 | 0.027 | 9.111 | 0.312 | 0.351 | 0.028 | 0.409 | 0.058 |
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 | 16 | 31 | 21 | 21 | 17 | 17 | 15 | 20 | 20 |
N.S. | 1 | 1.94 | 1.31 | 1.31 | 1.06 | 1.06 | 0.94 | 1.25 | 1.25 |
time (sec) |
N/A | 0.019 | 0.007 | 0.893 | 0.291 | 0.353 | 0.038 | 0.394 | 3.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 83 | 30 | 78 | 280 | 46 | 63 | 54 | 50 |
N.S. | 1 | 3.32 | 1.20 | 3.12 | 11.20 | 1.84 | 2.52 | 2.16 | 2.00 |
time (sec) |
N/A | 0.588 | 0.077 | 0.354 | 0.295 | 0.353 | 0.094 | 0.411 | 3.569 |
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 | 20 | 11 | 11 | 11 | 21 | 21 | 20 | 21 | 25 |
N.S. | 1 | 0.55 | 0.55 | 0.55 | 1.05 | 1.05 | 1.00 | 1.05 | 1.25 |
time (sec) |
N/A | 0.618 | 0.215 | 10.450 | 0.281 | 0.378 | 0.045 | 0.396 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | A | A | A | A | A | B |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 36 | 0 | 39 | 34 | 35 | 32 | 38 | 41 |
N.S. | 1 | 1.44 | 0.00 | 1.56 | 1.36 | 1.40 | 1.28 | 1.52 | 1.64 |
time (sec) |
N/A | 0.338 | 0.549 | 0.727 | 0.282 | 0.376 | 0.063 | 0.411 | 0.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 74 | 38 | 77 | 136 | 38 | 46 | 48 | 53 |
N.S. | 1 | 3.22 | 1.65 | 3.35 | 5.91 | 1.65 | 2.00 | 2.09 | 2.30 |
time (sec) |
N/A | 0.535 | 0.160 | 1.262 | 0.320 | 0.355 | 0.334 | 0.402 | 3.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 27 | 584 | 35 | 32 | 97 | 81 | -1 |
N.S. | 1 | 0.00 | 1.00 | 21.63 | 1.30 | 1.19 | 3.59 | 3.00 | -0.04 |
time (sec) |
N/A | 2.988 | 0.104 | 16.458 | 0.559 | 0.374 | 0.314 | 0.453 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 16 | 19 | 18 | 20 | 17 | 20 | 18 |
N.S. | 1 | 0.00 | 0.84 | 1.00 | 0.95 | 1.05 | 0.89 | 1.05 | 0.95 |
time (sec) |
N/A | 0.227 | 0.033 | 12.077 | 0.507 | 0.376 | 0.072 | 0.413 | 3.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 31 | 74 | 25 | 25 | 22 | 25 | -1 |
N.S. | 1 | 0.00 | 0.97 | 2.31 | 0.78 | 0.78 | 0.69 | 0.78 | -0.03 |
time (sec) |
N/A | 10.296 | 0.321 | 1.398 | 0.547 | 0.361 | 0.081 | 0.423 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 18 | 17 | 13 | 12 | 12 | 10 | 13 | 12 |
N.S. | 1 | 1.12 | 1.06 | 0.81 | 0.75 | 0.75 | 0.62 | 0.81 | 0.75 |
time (sec) |
N/A | 0.011 | 0.005 | 0.822 | 0.283 | 0.359 | 0.018 | 0.405 | 0.038 |
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 | 15 | 14 | 22 | 24 | 23 | 23 | 17 | 23 | 18 |
N.S. | 1 | 0.93 | 1.47 | 1.60 | 1.53 | 1.53 | 1.13 | 1.53 | 1.20 |
time (sec) |
N/A | 0.008 | 0.000 | 0.156 | 0.277 | 0.366 | 0.009 | 0.399 | 0.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 14 | 14 | 13 | 13 | 12 | 0 | 13 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 0.81 | 0.81 | 0.75 | 0.00 | 0.81 |
time (sec) |
N/A | 0.035 | 0.010 | 0.171 | 0.331 | 0.393 | 0.050 | 0.000 | 3.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 31 | 60 | 64 | 106 | 112 | 573 | 562 |
N.S. | 1 | 0.00 | 1.15 | 2.22 | 2.37 | 3.93 | 4.15 | 21.22 | 20.81 |
time (sec) |
N/A | 1.949 | 0.038 | 25.234 | 0.572 | 0.351 | 0.142 | 4.219 | 4.001 |
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 | 15 | 15 | 15 | 18 | 17 | 15 | 15 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.20 | 1.13 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.037 | 0.027 | 2.202 | 0.282 | 0.349 | 0.053 | 0.401 | 3.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | F(-2) | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 61 | 68 | 83 | 83 | 0 | 96 | -1 |
N.S. |
1 | 0.00 | 1.85 | 2.06 | 2.52 | 2.52 | 0.00 | 2.91 | -0.03 |
time (sec) |
N/A | 15.740 | 0.094 | 0.357 | 0.372 | 0.393 | 0.000 | 0.536 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 4 | 4 | 5 | 4 | 4 | 3 | 5 | 4 |
N.S. | 1 | 0.31 | 0.31 | 0.38 | 0.31 | 0.31 | 0.23 | 0.38 | 0.31 |
time (sec) |
N/A | 0.001 | 0.000 | 0.150 | 0.281 | 0.377 | 0.006 | 0.394 | 0.011 |
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 | 16 | 16 | 18 | 15 | 13 | 14 | 17 | 13 | 14 |
N.S. | 1 | 1.00 | 1.12 | 0.94 | 0.81 | 0.88 | 1.06 | 0.81 | 0.88 |
time (sec) |
N/A | 0.008 | 0.000 | 0.146 | 0.299 | 0.418 | 0.004 | 0.411 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 15 | 26 | 19 | 26 | 14 | 19 | 12 |
N.S. | 1 | 1.00 | 0.88 | 1.53 | 1.12 | 1.53 | 0.82 | 1.12 | 0.71 |
time (sec) |
N/A | 0.018 | 0.013 | 1.554 | 0.291 | 0.379 | 0.062 | 0.399 | 0.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 25 | 24 | 47 | 47 | 48 | 51 | 45 |
N.S. | 1 | 0.00 | 0.89 | 0.86 | 1.68 | 1.68 | 1.71 | 1.82 | 1.61 |
time (sec) |
N/A | 4.677 | 0.189 | 0.204 | 0.440 | 0.395 | 0.156 | 0.475 | 4.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 230 | 48 | 279 | 722 | 163 | 168 | 150 | 208 |
N.S. | 1 | 7.19 | 1.50 | 8.72 | 22.56 | 5.09 | 5.25 | 4.69 | 6.50 |
time (sec) |
N/A | 4.811 | 10.101 | 0.781 | 0.306 | 0.407 | 0.191 | 0.404 | 3.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | B | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 30 | 39 | 49 | 72 | 34 | 136 | 66 |
N.S. | 1 | 0.00 | 0.97 | 1.26 | 1.58 | 2.32 | 1.10 | 4.39 | 2.13 |
time (sec) |
N/A | 17.382 | 0.537 | 1.223 | 0.748 | 0.348 | 0.167 | 0.432 | 5.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 16 | 16 | 34 | 36 | 18 | 12 | 18 | 15 |
N.S. | 1 | 0.76 | 0.76 | 1.62 | 1.71 | 0.86 | 0.57 | 0.86 | 0.71 |
time (sec) |
N/A | 0.053 | 0.096 | 0.201 | 0.332 | 0.369 | 0.035 | 0.401 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 33 | 65 | 30 | 26 | 29 | 29 | 29 | 27 |
N.S. | 1 | 1.03 | 2.03 | 0.94 | 0.81 | 0.91 | 0.91 | 0.91 | 0.84 |
time (sec) |
N/A | 0.555 | 1.427 | 0.567 | 0.498 | 0.375 | 0.290 | 0.434 | 3.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 31 | 37 | 55 | 0 | 33 | 26 | 54 | 32 |
N.S. | 1 | 1.07 | 1.28 | 1.90 | 0.00 | 1.14 | 0.90 | 1.86 | 1.10 |
time (sec) |
N/A | 0.743 | 0.184 | 1.543 | 0.000 | 0.401 | 0.149 | 0.427 | 3.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | C | B | A | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 0 | 155 | 2034 | 125 | 62 | 126 | 150 | 124 |
N.S. | 1 | 0.00 | 4.43 | 58.11 | 3.57 | 1.77 | 3.60 | 4.29 | 3.54 |
time (sec) |
N/A | 5.810 | 7.836 | 40.572 | 0.669 | 0.384 | 1.018 | 0.581 | 3.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 18 | 18 | 33 | 94 | 15 | 17 | 15 | 15 |
N.S. | 1 | 0.86 | 0.86 | 1.57 | 4.48 | 0.71 | 0.81 | 0.71 | 0.71 |
time (sec) |
N/A | 0.419 | 0.059 | 10.926 | 0.551 | 0.364 | 0.088 | 0.410 | 3.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | F | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 57 | 79 | 0 | 77 | 104 | 102 | 87 |
N.S. | 1 | 0.00 | 2.19 | 3.04 | 0.00 | 2.96 | 4.00 | 3.92 | 3.35 |
time (sec) |
N/A | 1.680 | 0.364 | 0.230 | 0.000 | 0.376 | 0.159 | 0.444 | 3.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 28 | 28 | 54 | 26 | 30 | 27 | 30 | -1 |
N.S. | 1 | 1.12 | 1.12 | 2.16 | 1.04 | 1.20 | 1.08 | 1.20 | -0.04 |
time (sec) |
N/A | 0.243 | 0.080 | 1.732 | 0.512 | 0.396 | 0.120 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 19 | 11 | 13 | 14 | 10 | 7 | 10 | 12 |
N.S. | 1 | 1.06 | 0.61 | 0.72 | 0.78 | 0.56 | 0.39 | 0.56 | 0.67 |
time (sec) |
N/A | 0.012 | 0.013 | 0.092 | 0.271 | 0.367 | 0.024 | 0.408 | 3.463 |
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 | 16 | 22 | 17 | 17 | 11 | 20 | 8 | 11 | 13 |
N.S. | 1 | 1.38 | 1.06 | 1.06 | 0.69 | 1.25 | 0.50 | 0.69 | 0.81 |
time (sec) |
N/A | 0.229 | 0.028 | 0.388 | 0.282 | 0.358 | 0.056 | 0.408 | 3.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F(-2) | A | F(-1) | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 32 | 28 | 0 | 25 | 0 | 48 | 26 |
N.S. |
1 | 0.00 | 1.14 | 1.00 | 0.00 | 0.89 | 0.00 | 1.71 | 0.93 |
time (sec) |
N/A | 2.444 | 2.102 | 0.590 | 0.000 | 0.400 | 0.000 | 0.421 | 3.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 58 | 18 | 35 | 57 | 29 | 29 | 57 | 27 |
N.S. | 1 | 2.64 | 0.82 | 1.59 | 2.59 | 1.32 | 1.32 | 2.59 | 1.23 |
time (sec) |
N/A | 0.204 | 0.055 | 7.921 | 0.278 | 0.353 | 0.123 | 0.410 | 3.367 |
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 | 19 | 17 | 17 | 15 | 17 | 17 | 14 | 26 | 17 |
N.S. | 1 | 0.89 | 0.89 | 0.79 | 0.89 | 0.89 | 0.74 | 1.37 | 0.89 |
time (sec) |
N/A | 0.027 | 0.007 | 0.331 | 0.281 | 0.355 | 0.095 | 0.401 | 0.218 |
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 | 27 | 30 | 21 | 24 | 23 | 23 | 26 | 23 | 21 |
N.S. | 1 | 1.11 | 0.78 | 0.89 | 0.85 | 0.85 | 0.96 | 0.85 | 0.78 |
time (sec) |
N/A | 0.069 | 0.062 | 0.239 | 0.286 | 0.375 | 0.038 | 0.427 | 3.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 52 | 72 | 68 | 68 | 63 | 65 | -1 |
N.S. | 1 | 0.00 | 1.68 | 2.32 | 2.19 | 2.19 | 2.03 | 2.10 | -0.03 |
time (sec) |
N/A | 2.844 | 0.151 | 14.127 | 0.507 | 0.367 | 0.192 | 0.441 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 28 | 23 | 23 | 29 | 19 | 22 | 21 |
N.S. | 1 | 1.00 | 1.33 | 1.10 | 1.10 | 1.38 | 0.90 | 1.05 | 1.00 |
time (sec) |
N/A | 0.026 | 0.016 | 9.872 | 0.270 | 0.338 | 0.065 | 0.405 | 3.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 26 | 24 | 24 | 24 | 26 | 31 | 23 |
N.S. | 1 | 0.00 | 1.24 | 1.14 | 1.14 | 1.14 | 1.24 | 1.48 | 1.10 |
time (sec) |
N/A | 1.647 | 0.163 | 0.405 | 0.357 | 0.403 | 0.111 | 0.450 | 4.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 28 | 27 | 33 | 25 | 37 | 27 | 28 | 26 |
N.S. | 1 | 1.27 | 1.23 | 1.50 | 1.14 | 1.68 | 1.23 | 1.27 | 1.18 |
time (sec) |
N/A | 0.053 | 0.039 | 1.374 | 0.288 | 0.347 | 0.076 | 0.399 | 3.308 |