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 | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 23 | 23 | 19 | 0 | 20 | 15 | 0 | 18 |
N.S. | 1 | 1.05 | 1.05 | 0.86 | 0.00 | 0.91 | 0.68 | 0.00 | 0.82 |
time (sec) |
N/A | 1.076 | 0.119 | 0.038 | 0.000 | 0.382 | 0.085 | 0.000 | 4.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 33 | 31 | 377 | 42 | 37 | 101 | 42 |
N.S. | 1 | 0.00 | 1.14 | 1.07 | 13.00 | 1.45 | 1.28 | 3.48 | 1.45 |
time (sec) |
N/A | 3.542 | 0.273 | 0.829 | 0.691 | 0.451 | 0.087 | 0.431 | 4.421 |
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 | 24 | 26 | 29 | 24 | 22 | 30 | 25 |
N.S. | 1 | 0.00 | 0.80 | 0.87 | 0.97 | 0.80 | 0.73 | 1.00 | 0.83 |
time (sec) |
N/A | 0.528 | 0.039 | 1.081 | 0.398 | 0.350 | 0.142 | 0.502 | 4.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 18 | 28 | 41 | 17 | 24 | 16 | 15 |
N.S. | 1 | 0.00 | 0.72 | 1.12 | 1.64 | 0.68 | 0.96 | 0.64 | 0.60 |
time (sec) |
N/A | 1.681 | 0.378 | 0.020 | 0.401 | 0.379 | 0.129 | 0.398 | 4.183 |
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 | 15 | 15 | 14 | 13 | 13 | 24 | 15 | 13 |
N.S. | 1 | 0.71 | 0.71 | 0.67 | 0.62 | 0.62 | 1.14 | 0.71 | 0.62 |
time (sec) |
N/A | 0.017 | 0.006 | 0.830 | 0.277 | 0.420 | 0.262 | 0.418 | 4.006 |
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 | 32 | 30 | 32 | 30 | 40 | 26 | 32 | 31 |
N.S. | 1 | 1.39 | 1.30 | 1.39 | 1.30 | 1.74 | 1.13 | 1.39 | 1.35 |
time (sec) |
N/A | 0.062 | 0.025 | 0.351 | 0.350 | 0.356 | 0.597 | 0.402 | 0.160 |
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 | 27 | 27 | 31 | 271 | 52 | 28 | 20 | 24 | 31 |
N.S. | 1 | 1.00 | 1.15 | 10.04 | 1.93 | 1.04 | 0.74 | 0.89 | 1.15 |
time (sec) |
N/A | 1.017 | 0.133 | 4.477 | 0.668 | 0.377 | 3.466 | 0.453 | 4.435 |
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 | 30 | 0 | 47 | 47 | 71 | 62 | 150 | 28878 | -1 |
N.S. | 1 | 0.00 | 1.57 | 1.57 | 2.37 | 2.07 | 5.00 | 962.60 | -0.03 |
time (sec) |
N/A | 4.860 | 0.424 | 1.381 | 0.448 | 0.421 | 0.303 | 0.730 | 0.000 |
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 | 25 | 0 | 25 | 108 | 125 | 78 | 88 | 141 | 21 |
N.S. | 1 | 0.00 | 1.00 | 4.32 | 5.00 | 3.12 | 3.52 | 5.64 | 0.84 |
time (sec) |
N/A | 0.498 | 0.061 | 0.684 | 0.647 | 0.446 | 0.191 | 0.402 | 4.195 |
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 | 18 | 18 | 19 | 18 | 18 | 17 | 20 | 14 |
N.S. | 1 | 0.95 | 0.95 | 1.00 | 0.95 | 0.95 | 0.89 | 1.05 | 0.74 |
time (sec) |
N/A | 0.106 | 0.007 | 0.016 | 0.346 | 0.380 | 0.044 | 0.402 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 23 | 22 | 102 | 41 | 21 | 20 | 21 | 15 |
N.S. | 1 | 0.92 | 0.88 | 4.08 | 1.64 | 0.84 | 0.80 | 0.84 | 0.60 |
time (sec) |
N/A | 0.042 | 0.039 | 0.628 | 0.380 | 0.377 | 0.037 | 0.405 | 0.081 |
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 | 36 | 0 | 28 | 29 | 57 | 47 | 27 | 27 | 25 |
N.S. | 1 | 0.00 | 0.78 | 0.81 | 1.58 | 1.31 | 0.75 | 0.75 | 0.69 |
time (sec) |
N/A | 20.766 | 0.226 | 1.183 | 0.361 | 0.381 | 0.191 | 0.418 | 4.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | B | B | B | F(-1) | B | F |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 61 | 69 | 85 | 0 | 85 | -1 |
N.S. |
1 | 0.00 | 0.00 | 2.18 | 2.46 | 3.04 | 0.00 | 3.04 | -0.04 |
time (sec) |
N/A | 14.873 | 0.250 | 52.127 | 0.707 | 0.409 | 0.000 | 0.683 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 620 | 35 | 38 | 37 | 37 | 41 | 79 | 49 |
N.S. | 1 | 20.67 | 1.17 | 1.27 | 1.23 | 1.23 | 1.37 | 2.63 | 1.63 |
time (sec) |
N/A | 3.879 | 0.257 | 0.850 | 0.400 | 0.392 | 6.714 | 0.534 | 0.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 24 | 22 | 18 | 18 | 20 | 20 | -1 |
N.S. | 1 | 0.00 | 0.77 | 0.71 | 0.58 | 0.58 | 0.65 | 0.65 | -0.03 |
time (sec) |
N/A | 1.876 | 0.119 | 0.263 | 0.343 | 0.325 | 0.144 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F(-1) | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 41 | 409 | 41 | 51 | 42 | 51 | 44 |
N.S. |
1 | 0.00 | 1.32 | 13.19 | 1.32 | 1.65 | 1.35 | 1.65 | 1.42 |
time (sec) |
N/A | 180.069 | 0.044 | 1.497 | 0.385 | 0.355 | 9.939 | 0.440 | 4.481 |
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 | 34 | 79 | 30 | 35 | 36 | 35 | 34 | 0 | 38 |
N.S. | 1 | 2.32 | 0.88 | 1.03 | 1.06 | 1.03 | 1.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.263 | 0.132 | 0.438 | 0.466 | 0.383 | 0.281 | 0.000 | 4.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | C | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 22 | 30 | 24 | 22 | 0 | 21 |
N.S. | 1 | 0.00 | 1.00 | 0.76 | 1.03 | 0.83 | 0.76 | 0.00 | 0.72 |
time (sec) |
N/A | 0.772 | 0.078 | 0.148 | 0.355 | 0.354 | 0.100 | 0.000 | 4.321 |
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 | 15 | 10 | 10 | 12 | 16 | 9 | 8 | 9 | 9 |
N.S. | 1 | 0.67 | 0.67 | 0.80 | 1.07 | 0.60 | 0.53 | 0.60 | 0.60 |
time (sec) |
N/A | 0.019 | 0.023 | 0.719 | 0.382 | 0.377 | 0.034 | 0.404 | 4.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | F | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 57 | 25 | 52 | 0 | 39 | 20 | 64 | 22 |
N.S. | 1 | 2.11 | 0.93 | 1.93 | 0.00 | 1.44 | 0.74 | 2.37 | 0.81 |
time (sec) |
N/A | 0.346 | 0.126 | 2.563 | 0.000 | 0.418 | 0.132 | 0.410 | 0.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F(-2) | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 28 | 27 | 0 | 26 | 24 | 26 | 101 |
N.S. |
1 | 0.00 | 0.93 | 0.90 | 0.00 | 0.87 | 0.80 | 0.87 | 3.37 |
time (sec) |
N/A | 1.881 | 0.043 | 2.267 | 0.000 | 0.354 | 0.091 | 0.429 | 4.417 |
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 | 7 | 7 | 6 | 5 | 5 | 7 | 5 | 5 |
N.S. | 1 | 0.44 | 0.44 | 0.38 | 0.31 | 0.31 | 0.44 | 0.31 | 0.31 |
time (sec) |
N/A | 0.001 | 0.000 | 0.153 | 0.341 | 0.327 | 0.006 | 0.419 | 0.013 |
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 | 25 | 27 | 27 | 28 | 27 | 29 | 26 | 28 | 25 |
N.S. | 1 | 1.08 | 1.08 | 1.12 | 1.08 | 1.16 | 1.04 | 1.12 | 1.00 |
time (sec) |
N/A | 0.056 | 0.009 | 0.122 | 0.354 | 0.360 | 0.047 | 0.396 | 0.110 |
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 | 25 | 43 | 45 | 43 | 43 | 46 | 42 | 42 | 42 |
N.S. | 1 | 1.72 | 1.80 | 1.72 | 1.72 | 1.84 | 1.68 | 1.68 | 1.68 |
time (sec) |
N/A | 0.045 | 0.022 | 1.595 | 0.263 | 0.403 | 0.144 | 0.403 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 18 | 21 | 22 | 29 | 22 | 0 | 18 |
N.S. | 1 | 0.00 | 0.69 | 0.81 | 0.85 | 1.12 | 0.85 | 0.00 | 0.69 |
time (sec) |
N/A | 0.350 | 0.375 | 0.059 | 0.388 | 0.360 | 0.112 | 0.000 | 4.064 |
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 | 20 | 199 | 106 | 152 | 279 | 121 | 136 | 151 | 151 |
N.S. | 1 | 9.95 | 5.30 | 7.60 | 13.95 | 6.05 | 6.80 | 7.55 | 7.55 |
time (sec) |
N/A | 0.389 | 3.205 | 0.325 | 0.396 | 0.366 | 0.122 | 0.408 | 4.735 |
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 | 13 | 13 | 11 | 10 | 10 | 10 | 10 | 10 |
N.S. | 1 | 0.93 | 0.93 | 0.79 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.007 | 0.162 | 0.317 | 0.359 | 0.020 | 0.417 | 0.047 |
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 | 29 | 129 | 34 | 69 | 72 | 71 | 99 | 72 | 68 |
N.S. | 1 | 4.45 | 1.17 | 2.38 | 2.48 | 2.45 | 3.41 | 2.48 | 2.34 |
time (sec) |
N/A | 1.376 | 2.379 | 0.455 | 0.428 | 0.421 | 0.773 | 0.415 | 5.237 |
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 | 19 | 17 | 14 | 16 | 15 | 16 | 14 |
N.S. | 1 | 0.00 | 0.90 | 0.81 | 0.67 | 0.76 | 0.71 | 0.76 | 0.67 |
time (sec) |
N/A | 0.100 | 0.033 | 1.564 | 0.301 | 0.354 | 0.125 | 0.424 | 4.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | F | A | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 22 | 0 | 22 | 22 | 19 | 87 | 101 |
N.S. | 1 | 0.00 | 1.16 | 0.00 | 1.16 | 1.16 | 1.00 | 4.58 | 5.32 |
time (sec) |
N/A | 3.058 | 0.410 | 0.010 | 0.647 | 0.328 | 0.075 | 0.638 | 4.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 60 | 20 | 57 | 53 | 53 | 53 | 53 | 19 |
N.S. | 1 | 3.16 | 1.05 | 3.00 | 2.79 | 2.79 | 2.79 | 2.79 | 1.00 |
time (sec) |
N/A | 0.195 | 4.177 | 0.114 | 0.371 | 0.385 | 0.068 | 0.406 | 0.123 |
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 | 12 | 12 | 12 | 17 | 13 | 13 | 10 | 13 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 1.08 | 1.08 | 0.83 | 1.08 | 0.92 |
time (sec) |
N/A | 0.002 | 0.001 | 0.184 | 0.281 | 0.358 | 0.006 | 0.397 | 4.110 |
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 | 42 | 24 | 21 | 36 | 34 | 22 | 20 | 20 |
N.S. | 1 | 1.75 | 1.00 | 0.88 | 1.50 | 1.42 | 0.92 | 0.83 | 0.83 |
time (sec) |
N/A | 0.029 | 0.037 | 0.120 | 0.354 | 0.376 | 0.057 | 0.420 | 4.324 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | B | B | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 27 | 313 | 29 | 39 | 41 | 0 | 24 |
N.S. | 1 | 0.00 | 1.59 | 18.41 | 1.71 | 2.29 | 2.41 | 0.00 | 1.41 |
time (sec) |
N/A | 2.597 | 0.053 | 4.564 | 0.390 | 0.366 | 2.835 | 0.000 | 5.703 |
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 | 12 | 21 | 13 | 11 | 14 | 17 | 11 | 12 |
N.S. | 1 | 0.52 | 0.91 | 0.57 | 0.48 | 0.61 | 0.74 | 0.48 | 0.52 |
time (sec) |
N/A | 0.002 | 0.000 | 0.005 | 0.344 | 0.357 | 0.006 | 0.411 | 0.002 |
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 | 32 | 30 | 27 | 23 | 23 | 26 | 23 | 22 |
N.S. | 1 | 1.68 | 1.58 | 1.42 | 1.21 | 1.21 | 1.37 | 1.21 | 1.16 |
time (sec) |
N/A | 0.005 | 0.002 | 0.231 | 0.353 | 0.323 | 0.010 | 0.407 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F(-2) | A | A | F(-1) | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 23 | 25 | 0 | 37 | 22 | 0 | 21 |
N.S. |
1 | 0.00 | 0.85 | 0.93 | 0.00 | 1.37 | 0.81 | 0.00 | 0.78 |
time (sec) |
N/A | 2.266 | 0.269 | 0.558 | 0.000 | 0.399 | 0.401 | 0.000 | 4.277 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | F | C | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 19 | 0 | 25 | 22 | 17 | 22 | 22 |
N.S. | 1 | 0.00 | 0.83 | 0.00 | 1.09 | 0.96 | 0.74 | 0.96 | 0.96 |
time (sec) |
N/A | 0.563 | 0.066 | 0.178 | 0.669 | 0.384 | 0.129 | 0.433 | 4.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 31 | 36 | 25 | 42 | 27 | 51 | 29 |
N.S. | 1 | 0.00 | 1.19 | 1.38 | 0.96 | 1.62 | 1.04 | 1.96 | 1.12 |
time (sec) |
N/A | 2.731 | 0.160 | 0.564 | 0.658 | 0.342 | 0.100 | 0.419 | 4.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 138 | 47 | 50 | 49 | 59 | 51 | 51 | 56 |
N.S. | 1 | 4.93 | 1.68 | 1.79 | 1.75 | 2.11 | 1.82 | 1.82 | 2.00 |
time (sec) |
N/A | 7.913 | 0.113 | 0.921 | 0.497 | 0.356 | 0.155 | 0.455 | 0.361 |
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 | 33 | 34 | 18 | 36 | 18 | 19 | 19 | 18 |
N.S. | 1 | 1.57 | 1.62 | 0.86 | 1.71 | 0.86 | 0.90 | 0.90 | 0.86 |
time (sec) |
N/A | 0.169 | 0.768 | 0.219 | 0.451 | 0.378 | 0.066 | 0.390 | 0.133 |
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 | 21 | 18 | 18 | 15 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.90 | 0.90 | 0.75 | 0.90 | 0.90 |
time (sec) |
N/A | 0.004 | 0.015 | 0.613 | 0.366 | 0.353 | 0.032 | 0.375 | 0.062 |
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 | 21 | 38 | 38 | 19 | 67 | 26 | 15 | 26 | 16 |
N.S. | 1 | 1.81 | 1.81 | 0.90 | 3.19 | 1.24 | 0.71 | 1.24 | 0.76 |
time (sec) |
N/A | 0.223 | 0.159 | 3.057 | 0.591 | 0.337 | 0.058 | 0.392 | 0.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 29 | 22 | 38 | 20 | 32 | 17 | 20 | 20 |
N.S. | 1 | 1.53 | 1.16 | 2.00 | 1.05 | 1.68 | 0.89 | 1.05 | 1.05 |
time (sec) |
N/A | 0.043 | 0.063 | 0.356 | 0.391 | 0.370 | 0.043 | 0.377 | 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 | 22 | 14 | 14 | 15 | 14 | 14 | 10 | 16 | 12 |
N.S. | 1 | 0.64 | 0.64 | 0.68 | 0.64 | 0.64 | 0.45 | 0.73 | 0.55 |
time (sec) |
N/A | 0.014 | 0.005 | 0.940 | 0.367 | 0.356 | 0.032 | 0.398 | 4.076 |
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 | 13 | 13 | 23 | 28 | 18 | 10 | 19 | 13 |
N.S. | 1 | 0.65 | 0.65 | 1.15 | 1.40 | 0.90 | 0.50 | 0.95 | 0.65 |
time (sec) |
N/A | 0.059 | 0.109 | 1.364 | 0.278 | 0.332 | 0.041 | 0.395 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F | B | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 25 | 36 | 0 | 131 | 34 | 0 | 70 |
N.S. | 1 | 0.00 | 0.93 | 1.33 | 0.00 | 4.85 | 1.26 | 0.00 | 2.59 |
time (sec) |
N/A | 42.627 | 0.444 | 3.221 | 0.000 | 0.360 | 0.357 | 0.000 | 4.731 |
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 | 25 | 21 | 16 | 17 | 18 | 24 | 15 | 15 |
N.S. | 1 | 1.39 | 1.17 | 0.89 | 0.94 | 1.00 | 1.33 | 0.83 | 0.83 |
time (sec) |
N/A | 0.016 | 0.037 | 1.602 | 0.387 | 0.333 | 0.058 | 0.383 | 4.492 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | F(-2) | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 35 | 28 | 34 | 38 | 0 | 27 | 29 |
N.S. |
1 | 0.00 | 1.30 | 1.04 | 1.26 | 1.41 | 0.00 | 1.00 | 1.07 |
time (sec) |
N/A | 1.177 | 0.045 | 308.166 | 0.328 | 0.350 | 0.000 | 0.400 | 4.371 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | A | A | A | B | F(-1) | F |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 0 | 43 | 49 | 48 | 65 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 1.26 | 1.44 | 1.41 | 1.91 | 0.00 | -0.03 |
time (sec) |
N/A | 50.204 | 3.137 | 0.560 | 0.703 | 0.355 | 0.253 | 0.000 | 0.000 |
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 | 14 | 14 | 14 | 12 | 15 | 15 | 10 | 15 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 1.07 | 1.07 | 0.71 | 1.07 | 0.79 |
time (sec) |
N/A | 0.021 | 0.019 | 1.028 | 0.394 | 0.350 | 0.031 | 0.383 | 4.057 |
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 | 16 | 16 | 18 | 17 | 19 | 15 | 17 | 15 |
N.S. | 1 | 0.84 | 0.84 | 0.95 | 0.89 | 1.00 | 0.79 | 0.89 | 0.79 |
time (sec) |
N/A | 0.007 | 0.002 | 0.625 | 0.297 | 0.349 | 0.025 | 0.383 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 121 | 32 | 115 | 83 | 32 | 53 | 69 | 21 |
N.S. | 1 | 5.04 | 1.33 | 4.79 | 3.46 | 1.33 | 2.21 | 2.88 | 0.88 |
time (sec) |
N/A | 0.063 | 0.011 | 0.892 | 0.348 | 0.443 | 0.121 | 0.383 | 4.125 |
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 | 16 | 16 | 12 | 11 | 15 | 14 | 11 | 11 |
N.S. | 1 | 0.94 | 0.94 | 0.71 | 0.65 | 0.88 | 0.82 | 0.65 | 0.65 |
time (sec) |
N/A | 0.005 | 0.001 | 0.324 | 0.355 | 0.371 | 0.025 | 0.376 | 4.019 |
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 | 21 | 19 | 21 | 23 | 20 | 17 | 20 | 20 |
N.S. | 1 | 1.24 | 1.12 | 1.24 | 1.35 | 1.18 | 1.00 | 1.18 | 1.18 |
time (sec) |
N/A | 0.866 | 0.019 | 1.439 | 0.848 | 0.349 | 0.066 | 0.482 | 4.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 21 | 22 | 44 | 26 | 33 | 15 | 94 | 20 |
N.S. | 1 | 0.95 | 1.00 | 2.00 | 1.18 | 1.50 | 0.68 | 4.27 | 0.91 |
time (sec) |
N/A | 0.907 | 0.062 | 1.989 | 0.411 | 0.413 | 0.056 | 0.453 | 0.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | A | A | A | A | A | B |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 0 | 0 | 56 | 56 | 60 | 27 | 58 | 80 |
N.S. | 1 | 0.00 | 0.00 | 1.60 | 1.60 | 1.71 | 0.77 | 1.66 | 2.29 |
time (sec) |
N/A | 2.744 | 0.403 | 5.103 | 0.533 | 0.351 | 0.101 | 0.523 | 5.049 |
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 | 14 | 14 | 15 | 14 | 23 | 10 | 14 | 14 |
N.S. | 1 | 0.61 | 0.61 | 0.65 | 0.61 | 1.00 | 0.43 | 0.61 | 0.61 |
time (sec) |
N/A | 0.009 | 0.009 | 2.318 | 0.335 | 0.348 | 0.050 | 0.383 | 4.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | F(-1) | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 62 | 103 | 86 | 99 | 100 | 0 | -1 |
N.S. |
1 | 0.00 | 2.00 | 3.32 | 2.77 | 3.19 | 3.23 | 0.00 | -0.03 |
time (sec) |
N/A | 17.124 | 0.237 | 0.478 | 0.640 | 0.400 | 0.618 | 0.000 | 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 | 22 | 0 | 22 | 21 | 20 | 20 | 17 | 20 | 20 |
N.S. | 1 | 0.00 | 1.00 | 0.95 | 0.91 | 0.91 | 0.77 | 0.91 | 0.91 |
time (sec) |
N/A | 2.588 | 0.503 | 0.242 | 0.421 | 0.431 | 4.546 | 0.454 | 4.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 34 | 498 | 140 | 75 | 117 | 125 | -1 |
N.S. | 1 | 0.00 | 1.36 | 19.92 | 5.60 | 3.00 | 4.68 | 5.00 | -0.04 |
time (sec) |
N/A | 131.535 | 0.086 | 305.000 | 0.721 | 0.357 | 0.381 | 0.586 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 43 | 69 | 40 | 45 | 24 | 49 | 61 |
N.S. | 1 | 0.00 | 1.48 | 2.38 | 1.38 | 1.55 | 0.83 | 1.69 | 2.10 |
time (sec) |
N/A | 1.501 | 0.279 | 0.384 | 0.389 | 0.358 | 0.095 | 0.391 | 4.555 |
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 | 27 | 22 | 27 | 43 | 22 | 20 | 25 | 24 |
N.S. | 1 | 1.12 | 0.92 | 1.12 | 1.79 | 0.92 | 0.83 | 1.04 | 1.00 |
time (sec) |
N/A | 0.149 | 0.131 | 0.489 | 0.586 | 0.362 | 0.526 | 0.494 | 4.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 26 | 26 | 27 | 28 | 26 | 24 | 25 | 28 |
N.S. | 1 | 0.81 | 0.81 | 0.84 | 0.88 | 0.81 | 0.75 | 0.78 | 0.88 |
time (sec) |
N/A | 0.279 | 0.582 | 2.089 | 0.681 | 0.360 | 0.180 | 0.420 | 4.506 |
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 | 31 | 18 | 25 | 16 | 16 | 24 | 21 | 21 |
N.S. | 1 | 1.63 | 0.95 | 1.32 | 0.84 | 0.84 | 1.26 | 1.11 | 1.11 |
time (sec) |
N/A | 0.463 | 0.126 | 1.987 | 0.381 | 0.343 | 0.184 | 0.381 | 4.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | B | F(-1) | B | F(-1) | F | F |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 0 | 0 | 114 | 0 | 132 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 3.26 | 0.00 | 3.77 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 15.145 | 1.869 | 0.321 | 0.000 | 0.386 | 0.000 | 0.000 | 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 | 21 | 0 | 21 | 25 | 18 | 35 | 20 | 18 | 451 |
N.S. | 1 | 0.00 | 1.00 | 1.19 | 0.86 | 1.67 | 0.95 | 0.86 | 21.48 |
time (sec) |
N/A | 6.628 | 0.169 | 0.332 | 0.364 | 0.349 | 6.005 | 0.482 | 5.336 |
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 | 25 | 24 | 27 | 46 | 21 | 21 | 17 | 21 | 21 |
N.S. | 1 | 0.96 | 1.08 | 1.84 | 0.84 | 0.84 | 0.68 | 0.84 | 0.84 |
time (sec) |
N/A | 0.237 | 0.104 | 4.888 | 0.333 | 0.365 | 0.077 | 0.394 | 0.179 |
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 | 16 | 16 | 16 | 34 | 75 | 21 | 26 | 28 | 16 |
N.S. | 1 | 1.00 | 1.00 | 2.12 | 4.69 | 1.31 | 1.62 | 1.75 | 1.00 |
time (sec) |
N/A | 0.111 | 0.047 | 0.710 | 0.257 | 0.346 | 0.077 | 0.401 | 4.363 |
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 | 30 | 31 | 35 | 79 | 66 | 34 | 31 | 28 | 26 |
N.S. | 1 | 1.03 | 1.17 | 2.63 | 2.20 | 1.13 | 1.03 | 0.93 | 0.87 |
time (sec) |
N/A | 0.169 | 0.145 | 0.381 | 0.275 | 0.404 | 0.071 | 0.386 | 0.132 |
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 | 11 | 11 | 12 | 11 | 11 | 8 | 11 | 11 |
N.S. | 1 | 0.79 | 0.79 | 0.86 | 0.79 | 0.79 | 0.57 | 0.79 | 0.79 |
time (sec) |
N/A | 0.008 | 0.004 | 0.254 | 0.268 | 0.348 | 0.028 | 0.393 | 4.164 |
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 | 20 | 20 | 19 | 17 | 19 | 12 | 19 | 17 |
N.S. | 1 | 0.95 | 0.95 | 0.90 | 0.81 | 0.90 | 0.57 | 0.90 | 0.81 |
time (sec) |
N/A | 0.012 | 0.020 | 1.119 | 0.261 | 0.354 | 0.048 | 0.384 | 4.026 |
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 | 35 | 0 | 53 | 68 | 68 | 117 | 63 | 67 | -1 |
N.S. | 1 | 0.00 | 1.51 | 1.94 | 1.94 | 3.34 | 1.80 | 1.91 | -0.03 |
time (sec) |
N/A | 9.049 | 0.089 | 1.964 | 0.328 | 0.387 | 0.219 | 0.545 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | B | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 37 | 163 | 36 | 61 | 36 | 36 | -1 |
N.S. | 1 | 0.00 | 1.37 | 6.04 | 1.33 | 2.26 | 1.33 | 1.33 | -0.04 |
time (sec) |
N/A | 9.163 | 0.065 | 13.464 | 0.305 | 0.403 | 0.110 | 0.399 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 86 | 12 | 13 | 12 | 12 | 12 | 12 | 12 |
N.S. | 1 | 5.06 | 0.71 | 0.76 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.102 | 0.043 | 1.623 | 0.521 | 0.354 | 0.044 | 0.388 | 4.132 |
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 | 25 | 0 | 22 | 22 | 39 | 47 | 19 | 49 | 21 |
N.S. | 1 | 0.00 | 0.88 | 0.88 | 1.56 | 1.88 | 0.76 | 1.96 | 0.84 |
time (sec) |
N/A | 1.367 | 0.053 | 0.286 | 0.326 | 0.349 | 0.092 | 0.415 | 4.105 |
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 | 19 | 19 | 19 | 16 | 16 | 15 | 16 | 16 |
N.S. | 1 | 0.95 | 0.95 | 0.95 | 0.80 | 0.80 | 0.75 | 0.80 | 0.80 |
time (sec) |
N/A | 0.011 | 0.006 | 2.066 | 0.261 | 0.402 | 0.030 | 0.394 | 4.287 |
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 | 25 | 27 | 23 | 25 | 27 | 34 | 19 | 27 | 23 |
N.S. | 1 | 1.08 | 0.92 | 1.00 | 1.08 | 1.36 | 0.76 | 1.08 | 0.92 |
time (sec) |
N/A | 0.031 | 0.016 | 0.658 | 0.274 | 0.356 | 0.359 | 0.388 | 4.069 |
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 | 10 | 16 | 10 | 16 | 15 | 15 | 14 | 15 | 9 |
N.S. | 1 | 1.60 | 1.00 | 1.60 | 1.50 | 1.50 | 1.40 | 1.50 | 0.90 |
time (sec) |
N/A | 0.031 | 0.031 | 0.341 | 0.257 | 0.333 | 0.027 | 0.391 | 0.041 |
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 | 105 | 74 | 120 | 93 | 93 | 83 | 93 | 56 |
N.S. | 1 | 5.83 | 4.11 | 6.67 | 5.17 | 5.17 | 4.61 | 5.17 | 3.11 |
time (sec) |
N/A | 0.023 | 0.012 | 0.786 | 0.266 | 0.334 | 0.018 | 0.388 | 4.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | B | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 231 | 152 | 36 | 48 | 38 | 29 | 66 | 31 |
N.S. | 1 | 10.04 | 6.61 | 1.57 | 2.09 | 1.65 | 1.26 | 2.87 | 1.35 |
time (sec) |
N/A | 0.533 | 0.102 | 1.463 | 0.311 | 0.371 | 0.099 | 0.408 | 5.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 131 | 34 | 64 | 69 | 36 | 31 | 47 | 29 |
N.S. | 1 | 5.24 | 1.36 | 2.56 | 2.76 | 1.44 | 1.24 | 1.88 | 1.16 |
time (sec) |
N/A | 0.782 | 0.163 | 1.088 | 0.536 | 0.371 | 0.126 | 0.421 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 22 | 22 | 25 | 26 | 26 | 22 | 26 | -1 |
N.S. | 1 | 0.85 | 0.85 | 0.96 | 1.00 | 1.00 | 0.85 | 1.00 | -0.04 |
time (sec) |
N/A | 0.218 | 0.028 | 3.374 | 0.518 | 0.348 | 0.329 | 0.487 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | C | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 841 | 266 | 43 | 44 | 806 | 47 |
N.S. | 1 | 1.00 | 0.92 | 35.04 | 11.08 | 1.79 | 1.83 | 33.58 | 1.96 |
time (sec) |
N/A | 0.282 | 0.049 | 5.998 | 0.664 | 0.356 | 0.146 | 0.542 | 4.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 14 | 14 | 15 | 14 | 14 | 12 | 14 | 12 |
N.S. | 1 | 0.93 | 0.93 | 1.00 | 0.93 | 0.93 | 0.80 | 0.93 | 0.80 |
time (sec) |
N/A | 0.004 | 0.003 | 0.318 | 0.263 | 0.360 | 0.029 | 0.399 | 4.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 32 | 18 | 175 | 112 | 22 | 20 | 143 | 18 |
N.S. | 1 | 1.68 | 0.95 | 9.21 | 5.89 | 1.16 | 1.05 | 7.53 | 0.95 |
time (sec) |
N/A | 0.177 | 0.049 | 1.822 | 0.299 | 0.388 | 0.199 | 0.392 | 4.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 31 | 22 | 20 | 19 | 22 | 24 | 19 | 19 |
N.S. | 1 | 1.19 | 0.85 | 0.77 | 0.73 | 0.85 | 0.92 | 0.73 | 0.73 |
time (sec) |
N/A | 0.358 | 0.068 | 0.613 | 0.279 | 0.343 | 0.117 | 0.389 | 4.249 |
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 | 21 | 19 | 21 | 19 | 25 | 20 | 35 | 23 |
N.S. | 1 | 0.95 | 0.86 | 0.95 | 0.86 | 1.14 | 0.91 | 1.59 | 1.05 |
time (sec) |
N/A | 0.046 | 0.011 | 1.612 | 0.268 | 0.351 | 0.297 | 0.395 | 0.193 |
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 | 9 | 9 | 10 | 9 | 9 | 7 | 9 | 6 |
N.S. | 1 | 0.50 | 0.50 | 0.56 | 0.50 | 0.50 | 0.39 | 0.50 | 0.33 |
time (sec) |
N/A | 0.001 | 0.000 | 0.157 | 0.258 | 0.321 | 0.007 | 0.390 | 0.029 |
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 | 22 | 0 | 21 | 20 | 28 | 20 | 19 | 29 | 19 |
N.S. | 1 | 0.00 | 0.95 | 0.91 | 1.27 | 0.91 | 0.86 | 1.32 | 0.86 |
time (sec) |
N/A | 0.545 | 0.082 | 2.704 | 0.497 | 0.416 | 0.567 | 0.408 | 4.481 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F(-1) | A | A | B | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 22 | 22 | 494 | 24 | 0 | 0 | 399 |
N.S. |
1 | 0.00 | 0.92 | 0.92 | 20.58 | 1.00 | 0.00 | 0.00 | 16.62 |
time (sec) |
N/A | 180.004 | 0.450 | 0.138 | 30.337 | 0.370 | 0.000 | 0.000 | 4.838 |
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 | 16 | 16 | 24 | 36 | 24 | 14 | 19 | 16 |
N.S. | 1 | 0.70 | 0.70 | 1.04 | 1.57 | 1.04 | 0.61 | 0.83 | 0.70 |
time (sec) |
N/A | 0.073 | 0.008 | 1.457 | 0.317 | 0.386 | 0.030 | 0.396 | 4.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 34 | 29 | 333 | 43 | 47 | 0 | 46 | 29 |
N.S. |
1 | 1.10 | 0.94 | 10.74 | 1.39 | 1.52 | 0.00 | 1.48 | 0.94 |
time (sec) |
N/A | 3.701 | 0.130 | 1.036 | 0.356 | 0.396 | 0.000 | 0.426 | 4.556 |
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 | 21 | 21 | 20 | 19 | 19 | 19 | 19 | 21 |
N.S. | 1 | 1.11 | 1.11 | 1.05 | 1.00 | 1.00 | 1.00 | 1.00 | 1.11 |
time (sec) |
N/A | 0.096 | 0.105 | 0.398 | 0.342 | 0.367 | 0.105 | 0.390 | 4.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 25 | 32 | 22 | 19 | 20 | 19 | 19 | 16 |
N.S. | 1 | 1.67 | 2.13 | 1.47 | 1.27 | 1.33 | 1.27 | 1.27 | 1.07 |
time (sec) |
N/A | 0.016 | 0.031 | 0.351 | 0.272 | 0.349 | 0.040 | 0.389 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | F | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 92 | 69 | 26 | 26 | 27 | 27 | 0 | 25 |
N.S. | 1 | 2.88 | 2.16 | 0.81 | 0.81 | 0.84 | 0.84 | 0.00 | 0.78 |
time (sec) |
N/A | 0.154 | 0.908 | 0.607 | 0.570 | 0.387 | 0.153 | 0.000 | 4.131 |
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 | 30 | 0 | 29 | 55 | 111 | 84 | 61 | 234 | 119 |
N.S. | 1 | 0.00 | 0.97 | 1.83 | 3.70 | 2.80 | 2.03 | 7.80 | 3.97 |
time (sec) |
N/A | 19.076 | 0.119 | 132.456 | 8.164 | 0.392 | 13.728 | 1.026 | 4.451 |
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 | 18 | 15 | 23 | 17 | 13 | 12 | 13 | 13 |
N.S. | 1 | 0.86 | 0.71 | 1.10 | 0.81 | 0.62 | 0.57 | 0.62 | 0.62 |
time (sec) |
N/A | 0.113 | 0.043 | 2.690 | 0.522 | 0.339 | 0.042 | 0.389 | 0.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 71 | 32 | 58 | 177 | 88 | 61 | 101 | 48 |
N.S. | 1 | 3.94 | 1.78 | 3.22 | 9.83 | 4.89 | 3.39 | 5.61 | 2.67 |
time (sec) |
N/A | 0.867 | 4.725 | 0.281 | 0.317 | 0.379 | 0.098 | 0.394 | 0.171 |
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 | 24 | 22 | 21 | 21 | 20 | 46 | 21 |
N.S. | 1 | 0.00 | 0.92 | 0.85 | 0.81 | 0.81 | 0.77 | 1.77 | 0.81 |
time (sec) |
N/A | 0.855 | 0.340 | 0.223 | 0.310 | 0.388 | 0.167 | 0.392 | 4.239 |