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 | B | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 98 | 89 | 88 | 88 | 97 | 15 | 88 |
N.S. | 1 | 1.00 | 7.00 | 6.36 | 6.29 | 6.29 | 6.93 | 1.07 | 6.29 |
time (sec) |
N/A | 0.007 | 0.002 | 0.191 | 0.273 | 0.376 | 0.019 | 4.772 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 115 | 17 | 458 | 458 | 484 | 488 | 440 |
N.S. | 1 | 1.00 | 6.39 | 0.94 | 25.44 | 25.44 | 26.89 | 27.11 | 24.44 |
time (sec) |
N/A | 0.039 | 0.008 | 0.030 | 0.266 | 0.373 | 0.057 | 3.329 | 0.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 98 | 16 | 88 | 88 | 97 | 88 | 88 |
N.S. | 1 | 1.00 | 7.00 | 1.14 | 6.29 | 6.29 | 6.93 | 6.29 | 6.29 |
time (sec) |
N/A | 0.015 | 0.002 | 0.180 | 0.266 | 0.370 | 0.023 | 3.406 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 98 | 89 | 88 | 88 | 97 | 88 | 88 |
N.S. | 1 | 1.00 | 5.44 | 4.94 | 4.89 | 4.89 | 5.39 | 4.89 | 4.89 |
time (sec) |
N/A | 0.013 | 0.003 | 0.187 | 0.268 | 0.403 | 0.022 | 3.708 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 98 | 89 | 88 | 88 | 97 | 88 | 88 |
N.S. | 1 | 1.00 | 7.00 | 6.36 | 6.29 | 6.29 | 6.93 | 6.29 | 6.29 |
time (sec) |
N/A | 0.002 | 0.002 | 0.193 | 0.269 | 0.392 | 0.019 | 4.188 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 80 | 25 | 66 | 66 | 70 | 24 | 66 |
N.S. | 1 | 1.00 | 2.86 | 0.89 | 2.36 | 2.36 | 2.50 | 0.86 | 2.36 |
time (sec) |
N/A | 0.019 | 0.004 | 0.181 | 0.270 | 0.363 | 0.019 | 3.458 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 108 | 27 | 187 | 187 | 194 | 88 | 180 |
N.S. | 1 | 1.00 | 3.48 | 0.87 | 6.03 | 6.03 | 6.26 | 2.84 | 5.81 |
time (sec) |
N/A | 0.022 | 0.027 | 0.264 | 0.285 | 0.374 | 0.035 | 3.687 | 0.105 |
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 | 34 | 34 | 34 | 31 | 52 | 48 | 228 | 30 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 1.53 | 1.41 | 6.71 | 0.88 | 0.91 |
time (sec) |
N/A | 0.007 | 0.141 | 0.176 | 0.526 | 0.369 | 23.118 | 3.744 | 2.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 73 | 33 | 54 | 52 | 328 | 32 | 58 |
N.S. | 1 | 1.00 | 2.09 | 0.94 | 1.54 | 1.49 | 9.37 | 0.91 | 1.66 |
time (sec) |
N/A | 0.006 | 0.156 | 0.251 | 0.501 | 0.389 | 118.664 | 4.592 | 2.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 93 | 25 | 77 | 77 | 87 | 24 | 77 |
N.S. | 1 | 1.00 | 3.10 | 0.83 | 2.57 | 2.57 | 2.90 | 0.80 | 2.57 |
time (sec) |
N/A | 0.015 | 0.006 | 0.177 | 0.269 | 0.356 | 0.024 | 3.876 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 140 | 27 | 280 | 280 | 314 | 105 | 266 |
N.S. | 1 | 1.00 | 4.52 | 0.87 | 9.03 | 9.03 | 10.13 | 3.39 | 8.58 |
time (sec) |
N/A | 0.027 | 0.036 | 0.098 | 0.270 | 0.399 | 0.047 | 3.786 | 2.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 98 | 31 | 80 | 80 | 90 | 30 | 80 |
N.S. | 1 | 1.00 | 2.88 | 0.91 | 2.35 | 2.35 | 2.65 | 0.88 | 2.35 |
time (sec) |
N/A | 0.023 | 0.006 | 0.220 | 0.262 | 0.394 | 0.025 | 3.422 | 0.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 146 | 33 | 289 | 289 | 321 | 126 | 273 |
N.S. | 1 | 1.00 | 3.56 | 0.80 | 7.05 | 7.05 | 7.83 | 3.07 | 6.66 |
time (sec) |
N/A | 0.032 | 0.039 | 0.049 | 0.276 | 0.406 | 0.051 | 3.848 | 2.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 244 | 37 | 289 | 289 | 323 | 37 | 270 |
N.S. | 1 | 1.00 | 5.30 | 0.80 | 6.28 | 6.28 | 7.02 | 0.80 | 5.87 |
time (sec) |
N/A | 0.034 | 0.049 | 0.197 | 0.271 | 0.372 | 0.054 | 3.614 | 2.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 248 | 39 | 773 | 773 | 930 | 153 | 753 |
N.S. | 1 | 1.00 | 5.28 | 0.83 | 16.45 | 16.45 | 19.79 | 3.26 | 16.02 |
time (sec) |
N/A | 0.063 | 0.094 | 0.294 | 0.287 | 0.382 | 0.105 | 3.596 | 2.450 |
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 | 34 | 34 | 36 | 31 | 54 | 48 | 190 | 30 | 33 |
N.S. | 1 | 1.00 | 1.06 | 0.91 | 1.59 | 1.41 | 5.59 | 0.88 | 0.97 |
time (sec) |
N/A | 0.007 | 0.133 | 0.223 | 0.518 | 0.410 | 41.257 | 3.985 | 2.111 |
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 | 44 | 44 | 42 | 37 | 71 | 57 | 189 | 36 | 37 |
N.S. | 1 | 1.00 | 0.95 | 0.84 | 1.61 | 1.30 | 4.30 | 0.82 | 0.84 |
time (sec) |
N/A | 0.007 | 0.158 | 0.199 | 0.526 | 0.394 | 96.617 | 3.696 | 2.210 |
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 | 50 | 50 | 49 | 43 | 83 | 72 | 0 | 42 | 73 |
N.S. |
1 | 1.00 | 0.98 | 0.86 | 1.66 | 1.44 | 0.00 | 0.84 | 1.46 |
time (sec) |
N/A | 0.007 | 0.195 | 0.036 | 0.528 | 0.401 | 0.000 | 3.018 | 2.170 |
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 | 19 | 33 | 18 | 17 | 29 | 29 | 30 | 29 |
N.S. | 1 | 1.00 | 1.74 | 0.95 | 0.89 | 1.53 | 1.53 | 1.58 | 1.53 |
time (sec) |
N/A | 0.006 | 0.002 | 0.030 | 0.266 | 0.397 | 0.006 | 3.741 | 0.025 |
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 | 21 | 15 | 14 | 17 | 17 | 22 | 17 |
N.S. | 1 | 1.00 | 1.31 | 0.94 | 0.88 | 1.06 | 1.06 | 1.38 | 1.06 |
time (sec) |
N/A | 0.005 | 0.002 | 0.057 | 0.269 | 0.368 | 0.006 | 4.218 | 0.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 96 | 96 | 29 | 86 | 86 | 94 | 28 | 86 |
N.S. | 1 | 2.91 | 2.91 | 0.88 | 2.61 | 2.61 | 2.85 | 0.85 | 2.61 |
time (sec) |
N/A | 0.134 | 0.005 | 0.227 | 0.273 | 0.368 | 0.016 | 3.305 | 0.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 96 | 96 | 87 | 86 | 86 | 94 | 28 | 86 |
N.S. | 1 | 2.91 | 2.91 | 2.64 | 2.61 | 2.61 | 2.85 | 0.85 | 2.61 |
time (sec) |
N/A | 0.100 | 0.005 | 0.222 | 0.269 | 0.345 | 0.021 | 3.952 | 0.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 12 | 57 | 56 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.86 | 4.07 | 4.00 | 0.86 | 0.86 |
time (sec) |
N/A | 0.005 | 0.004 | 0.017 | 0.266 | 0.366 | 0.091 | 3.408 | 2.100 |
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 | 14 | 13 | 13 | 12 | 14 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 0.93 | 0.87 |
time (sec) |
N/A | 0.006 | 0.004 | 0.011 | 0.262 | 0.418 | 0.021 | 4.127 | 0.049 |
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 | 17 | 17 | 20 | 14 | 15 | 15 | 14 | 18 | 13 |
N.S. | 1 | 1.00 | 1.18 | 0.82 | 0.88 | 0.88 | 0.82 | 1.06 | 0.76 |
time (sec) |
N/A | 0.006 | 0.005 | 0.013 | 0.263 | 0.380 | 0.025 | 2.971 | 0.066 |
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 | 40 | 23 | 28 | 24 | 23 | 22 | 24 | 23 |
N.S. | 1 | 1.00 | 0.58 | 0.70 | 0.60 | 0.58 | 0.55 | 0.60 | 0.58 |
time (sec) |
N/A | 0.060 | 0.044 | 0.025 | 0.275 | 0.386 | 15.048 | 4.102 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 605 | 605 | 98 | 535 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.16 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 3.285 | 0.056 | 0.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 55 | 53 | 0 | 83 | 58 | 58 | 75 |
N.S. | 1 | 1.00 | 0.87 | 0.84 | 0.00 | 1.32 | 0.92 | 0.92 | 1.19 |
time (sec) |
N/A | 0.045 | 0.021 | 0.040 | 0.000 | 0.396 | 0.041 | 3.688 | 0.185 |
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 | 14 | 14 | 14 | 13 | 22 | 38 | 20 | 13 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 1.57 | 2.71 | 1.43 | 0.93 | 0.86 |
time (sec) |
N/A | 0.031 | 0.006 | 0.015 | 0.269 | 0.401 | 0.026 | 3.744 | 0.040 |
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 | 28 | 24 | 27 | 32 | 46 | 29 | 23 | 21 |
N.S. | 1 | 1.00 | 0.86 | 0.96 | 1.14 | 1.64 | 1.04 | 0.82 | 0.75 |
time (sec) |
N/A | 0.019 | 0.010 | 0.015 | 0.265 | 0.412 | 0.032 | 3.979 | 0.037 |
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 | 59 | 59 | 28 | 30 | 38 | 38 | 36 | 28 | 28 |
N.S. | 1 | 1.00 | 0.47 | 0.51 | 0.64 | 0.64 | 0.61 | 0.47 | 0.47 |
time (sec) |
N/A | 0.060 | 0.009 | 0.026 | 0.272 | 0.390 | 0.060 | 4.663 | 0.054 |
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 | 11 | 11 | 11 | 41 | 11 | 11 | 8 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 3.73 | 1.00 | 1.00 | 0.73 | 1.00 | 1.00 |
time (sec) |
N/A | 0.005 | 0.005 | 0.020 | 0.270 | 0.398 | 0.033 | 5.037 | 2.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 205 | 132 | 116 | 114 | 223 | 272 | 134 | 124 |
N.S. | 1 | 2.25 | 1.45 | 1.27 | 1.25 | 2.45 | 2.99 | 1.47 | 1.36 |
time (sec) |
N/A | 0.106 | 0.067 | 0.044 | 0.486 | 0.386 | 0.798 | 8.596 | 2.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 26 | 44 | 40 | 0 | 99 | 49 |
N.S. |
1 | 1.00 | 0.92 | 1.04 | 1.76 | 1.60 | 0.00 | 3.96 | 1.96 |
time (sec) |
N/A | 0.017 | 1.218 | 0.034 | 0.329 | 0.556 | 0.000 | 6.677 | 2.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 21 | 24 | 39 | 39 | 0 | 89 | 39 |
N.S. |
1 | 1.00 | 0.91 | 1.04 | 1.70 | 1.70 | 0.00 | 3.87 | 1.70 |
time (sec) |
N/A | 0.056 | 2.052 | 0.039 | 0.318 | 0.416 | 0.000 | 4.651 | 2.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 21 | 24 | 39 | 39 | 0 | 89 | 39 |
N.S. |
1 | 1.00 | 0.91 | 1.04 | 1.70 | 1.70 | 0.00 | 3.87 | 1.70 |
time (sec) |
N/A | 0.040 | 0.963 | 0.035 | 0.302 | 0.421 | 0.000 | 5.188 | 2.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 19 | 22 | 37 | 37 | 0 | 87 | 37 |
N.S. |
1 | 1.00 | 0.90 | 1.05 | 1.76 | 1.76 | 0.00 | 4.14 | 1.76 |
time (sec) |
N/A | 0.032 | 0.737 | 0.030 | 0.313 | 0.400 | 0.000 | 4.636 | 2.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 17 | 20 | 33 | 33 | 0 | 52 | 19 |
N.S. |
1 | 1.00 | 0.89 | 1.05 | 1.74 | 1.74 | 0.00 | 2.74 | 1.00 |
time (sec) |
N/A | 0.028 | 0.076 | 0.028 | 0.316 | 0.392 | 0.000 | 5.560 | 2.193 |
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 | 23 | 23 | 21 | 24 | 36 | 36 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 0.91 | 1.04 | 1.57 | 1.57 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.023 | 0.713 | 0.031 | 0.300 | 0.439 | 0.000 | 0.000 | 3.202 |
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 | 23 | 23 | 21 | 24 | 36 | 36 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 0.91 | 1.04 | 1.57 | 1.57 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.024 | 0.793 | 0.033 | 0.307 | 0.442 | 0.000 | 0.000 | 3.319 |
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 | 23 | 23 | 21 | 24 | 36 | 36 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 0.91 | 1.04 | 1.57 | 1.57 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.024 | 0.963 | 0.035 | 0.315 | 0.438 | 0.000 | 0.000 | 3.355 |
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 | 97 | 97 | 83 | 74 | 73 | 79 | 97 | 73 | 97 |
N.S. | 1 | 1.00 | 0.86 | 0.76 | 0.75 | 0.81 | 1.00 | 0.75 | 1.00 |
time (sec) |
N/A | 0.094 | 0.027 | 0.038 | 0.483 | 0.388 | 0.104 | 4.659 | 0.194 |
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 | 90 | 90 | 78 | 69 | 68 | 74 | 92 | 68 | 92 |
N.S. | 1 | 1.00 | 0.87 | 0.77 | 0.76 | 0.82 | 1.02 | 0.76 | 1.02 |
time (sec) |
N/A | 0.082 | 0.018 | 0.044 | 0.490 | 0.402 | 0.103 | 5.430 | 0.178 |
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 | 77 | 77 | 72 | 62 | 61 | 67 | 78 | 61 | 85 |
N.S. | 1 | 1.00 | 0.94 | 0.81 | 0.79 | 0.87 | 1.01 | 0.79 | 1.10 |
time (sec) |
N/A | 0.082 | 0.023 | 0.033 | 0.498 | 0.380 | 0.095 | 5.426 | 2.290 |
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 | 72 | 72 | 69 | 57 | 56 | 62 | 75 | 56 | 80 |
N.S. | 1 | 1.00 | 0.96 | 0.79 | 0.78 | 0.86 | 1.04 | 0.78 | 1.11 |
time (sec) |
N/A | 0.064 | 0.018 | 0.029 | 0.495 | 0.389 | 0.096 | 7.682 | 2.292 |
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 | 71 | 71 | 65 | 56 | 55 | 61 | 75 | 55 | 79 |
N.S. | 1 | 1.00 | 0.92 | 0.79 | 0.77 | 0.86 | 1.06 | 0.77 | 1.11 |
time (sec) |
N/A | 0.054 | 0.014 | 0.026 | 0.500 | 0.382 | 0.092 | 8.320 | 0.147 |
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 | 75 | 75 | 69 | 60 | 59 | 65 | 78 | 60 | 83 |
N.S. | 1 | 1.00 | 0.92 | 0.80 | 0.79 | 0.87 | 1.04 | 0.80 | 1.11 |
time (sec) |
N/A | 0.091 | 0.016 | 0.035 | 0.481 | 0.370 | 0.126 | 5.765 | 0.149 |
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 | 84 | 84 | 78 | 65 | 64 | 76 | 87 | 65 | 88 |
N.S. | 1 | 1.00 | 0.93 | 0.77 | 0.76 | 0.90 | 1.04 | 0.77 | 1.05 |
time (sec) |
N/A | 0.101 | 0.025 | 0.031 | 0.507 | 0.390 | 0.140 | 6.699 | 2.280 |
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 | 91 | 91 | 82 | 70 | 69 | 89 | 94 | 70 | 92 |
N.S. | 1 | 1.00 | 0.90 | 0.77 | 0.76 | 0.98 | 1.03 | 0.77 | 1.01 |
time (sec) |
N/A | 0.106 | 0.043 | 0.036 | 0.502 | 0.393 | 0.157 | 5.867 | 0.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 109 | 74 | 0 | 1202 | 61 | 0 | 128 |
N.S. | 1 | 1.00 | 0.36 | 0.24 | 0.00 | 3.92 | 0.20 | 0.00 | 0.42 |
time (sec) |
N/A | 0.396 | 0.015 | 0.020 | 0.000 | 1.166 | 0.573 | 0.000 | 2.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 101 | 67 | 0 | 1145 | 3662 | 0 | 188 |
N.S. | 1 | 1.00 | 0.38 | 0.25 | 0.00 | 4.26 | 13.61 | 0.00 | 0.70 |
time (sec) |
N/A | 0.270 | 0.012 | 0.019 | 0.000 | 1.182 | 1.625 | 0.000 | 0.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 94 | 62 | 0 | 1190 | 48 | 0 | 183 |
N.S. | 1 | 1.00 | 0.41 | 0.27 | 0.00 | 5.17 | 0.21 | 0.00 | 0.80 |
time (sec) |
N/A | 0.238 | 0.012 | 0.020 | 0.000 | 1.169 | 0.505 | 0.000 | 0.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 90 | 58 | 0 | 1189 | 46 | 0 | 181 |
N.S. | 1 | 1.00 | 0.45 | 0.29 | 0.00 | 6.01 | 0.23 | 0.00 | 0.91 |
time (sec) |
N/A | 0.142 | 0.010 | 0.015 | 0.000 | 1.184 | 0.496 | 0.000 | 2.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 101 | 67 | 0 | 1143 | 60 | 0 | 237 |
N.S. | 1 | 1.00 | 0.41 | 0.27 | 0.00 | 4.67 | 0.24 | 0.00 | 0.97 |
time (sec) |
N/A | 0.336 | 0.013 | 0.023 | 0.000 | 1.152 | 9.313 | 0.000 | 2.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 109 | 72 | 0 | 1245 | 25507 | 0 | 242 |
N.S. | 1 | 1.00 | 0.39 | 0.26 | 0.00 | 4.43 | 90.77 | 0.00 | 0.86 |
time (sec) |
N/A | 0.337 | 0.014 | 0.029 | 0.000 | 1.190 | 19.415 | 0.000 | 2.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 116 | 77 | 0 | 1274 | 70 | 0 | 246 |
N.S. | 1 | 1.00 | 0.37 | 0.24 | 0.00 | 4.02 | 0.22 | 0.00 | 0.78 |
time (sec) |
N/A | 0.390 | 0.014 | 0.028 | 0.000 | 1.169 | 1.755 | 0.000 | 2.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 87 | 75 | 0 | 83 | 44 | 87 | 252 |
N.S. | 1 | 1.00 | 4.58 | 3.95 | 0.00 | 4.37 | 2.32 | 4.58 | 13.26 |
time (sec) |
N/A | 0.069 | 0.033 | 0.102 | 0.000 | 0.374 | 0.600 | 5.452 | 2.270 |
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 | 43 | 43 | 57 | 34 | 33 | 47 | 37 | 34 | 38 |
N.S. | 1 | 1.00 | 1.33 | 0.79 | 0.77 | 1.09 | 0.86 | 0.79 | 0.88 |
time (sec) |
N/A | 0.043 | 0.017 | 0.208 | 0.529 | 0.386 | 0.068 | 4.521 | 0.052 |
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 | 17 | 17 | 16 | 15 | 15 | 14 | 18 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.82 | 1.06 | 1.24 |
time (sec) |
N/A | 0.025 | 0.004 | 0.209 | 0.279 | 0.386 | 0.044 | 4.326 | 2.200 |
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 | 25 | 25 | 22 | 21 | 21 | 20 | 24 | 30 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.84 | 0.84 | 0.80 | 0.96 | 1.20 |
time (sec) |
N/A | 0.025 | 0.005 | 0.227 | 0.283 | 0.388 | 0.044 | 4.257 | 0.054 |
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 | 22 | 20 | 19 | 18 | 24 | 14 | 28 | 18 |
N.S. | 1 | 1.00 | 0.91 | 0.86 | 0.82 | 1.09 | 0.64 | 1.27 | 0.82 |
time (sec) |
N/A | 0.009 | 0.007 | 0.226 | 0.274 | 0.369 | 0.034 | 4.032 | 0.036 |
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 | 27 | 38 | 22 | 21 | 21 | 26 | 22 | 25 |
N.S. | 1 | 1.00 | 1.41 | 0.81 | 0.78 | 0.78 | 0.96 | 0.81 | 0.93 |
time (sec) |
N/A | 0.026 | 0.009 | 0.211 | 0.486 | 0.392 | 0.051 | 3.829 | 2.260 |
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 | 21 | 18 | 17 | 17 | 15 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.71 | 0.81 | 0.81 |
time (sec) |
N/A | 0.009 | 0.004 | 0.194 | 0.492 | 0.396 | 0.019 | 3.511 | 0.031 |
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 | 27 | 27 | 24 | 23 | 23 | 22 | 23 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.85 | 0.85 | 0.81 | 0.85 | 0.85 |
time (sec) |
N/A | 0.017 | 0.006 | 0.276 | 0.501 | 0.422 | 0.031 | 3.151 | 2.140 |
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 | 39 | 39 | 39 | 26 | 25 | 25 | 26 | 29 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.64 | 0.64 | 0.67 | 0.74 | 0.64 |
time (sec) |
N/A | 0.014 | 0.005 | 0.020 | 0.275 | 0.385 | 0.103 | 3.534 | 2.141 |
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 | 22 | 23 | 19 | 18 | 18 | 17 | 19 | 18 |
N.S. | 1 | 1.00 | 1.05 | 0.86 | 0.82 | 0.82 | 0.77 | 0.86 | 0.82 |
time (sec) |
N/A | 0.010 | 0.003 | 0.171 | 0.265 | 0.374 | 0.015 | 3.000 | 0.027 |
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 | 14 | 13 | 13 | 14 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.93 | 0.87 | 0.87 |
time (sec) |
N/A | 0.020 | 0.004 | 0.161 | 0.472 | 0.366 | 0.023 | 2.928 | 2.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 24 | 21 | 20 | 26 | 17 | 22 | 10 |
N.S. | 1 | 1.00 | 2.00 | 1.75 | 1.67 | 2.17 | 1.42 | 1.83 | 0.83 |
time (sec) |
N/A | 0.014 | 0.010 | 0.017 | 0.266 | 0.383 | 0.029 | 3.136 | 0.072 |
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 | 25 | 25 | 22 | 21 | 22 | 19 | 23 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.84 | 0.88 | 0.76 | 0.92 | 0.76 |
time (sec) |
N/A | 0.024 | 0.005 | 0.234 | 0.268 | 0.395 | 0.028 | 2.344 | 2.139 |
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 | 13 | 13 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 0.85 | 0.85 |
time (sec) |
N/A | 0.018 | 0.006 | 0.018 | 0.506 | 0.372 | 0.035 | 4.116 | 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 | 35 | 35 | 35 | 31 | 35 | 55 | 36 | 30 | 35 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 1.00 | 1.57 | 1.03 | 0.86 | 1.00 |
time (sec) |
N/A | 0.024 | 0.013 | 0.186 | 0.485 | 0.379 | 0.049 | 4.357 | 2.125 |
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 | 23 | 23 | 23 | 18 | 17 | 17 | 17 | 20 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.74 | 0.74 | 0.74 | 0.87 | 0.74 |
time (sec) |
N/A | 0.025 | 0.005 | 0.017 | 0.267 | 0.397 | 0.047 | 3.712 | 2.188 |
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 | 23 | 23 | 20 | 19 | 19 | 19 | 20 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.83 | 0.83 | 0.83 | 0.87 | 0.83 |
time (sec) |
N/A | 0.036 | 0.006 | 0.020 | 0.265 | 0.376 | 0.030 | 3.539 | 0.055 |
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 | 29 | 25 | 24 | 23 | 32 | 20 | 23 | 25 |
N.S. | 1 | 1.00 | 0.86 | 0.83 | 0.79 | 1.10 | 0.69 | 0.79 | 0.86 |
time (sec) |
N/A | 0.010 | 0.008 | 0.205 | 0.474 | 0.381 | 0.038 | 2.963 | 2.125 |
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 | 44 | 44 | 44 | 42 | 41 | 58 | 49 | 43 | 55 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.93 | 1.32 | 1.11 | 0.98 | 1.25 |
time (sec) |
N/A | 0.171 | 0.019 | 0.185 | 0.480 | 0.416 | 0.083 | 3.756 | 0.129 |
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 | 46 | 46 | 46 | 41 | 38 | 38 | 51 | 38 | 88 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.83 | 0.83 | 1.11 | 0.83 | 1.91 |
time (sec) |
N/A | 0.092 | 0.014 | 0.348 | 0.482 | 0.398 | 0.083 | 4.950 | 0.160 |
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 | 33 | 33 | 33 | 34 | 44 | 72 | 41 | 44 | 56 |
N.S. | 1 | 1.00 | 1.00 | 1.03 | 1.33 | 2.18 | 1.24 | 1.33 | 1.70 |
time (sec) |
N/A | 0.115 | 0.016 | 0.411 | 0.269 | 0.402 | 0.064 | 5.125 | 2.162 |
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 | 17 | 17 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.71 | 0.65 | 0.65 | 0.59 | 0.65 | 0.65 |
time (sec) |
N/A | 0.005 | 0.005 | 0.203 | 0.486 | 0.385 | 0.048 | 4.106 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 21 | 20 | 20 | 34 | 20 | 20 |
N.S. | 1 | 1.00 | 0.92 | 0.88 | 0.83 | 0.83 | 1.42 | 0.83 | 0.83 |
time (sec) |
N/A | 0.013 | 0.007 | 0.202 | 0.491 | 0.405 | 0.066 | 4.055 | 2.134 |
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 | 23 | 18 | 17 | 17 | 17 | 20 | 19 |
N.S. | 1 | 1.00 | 1.53 | 1.20 | 1.13 | 1.13 | 1.13 | 1.33 | 1.27 |
time (sec) |
N/A | 0.039 | 0.005 | 0.224 | 0.483 | 0.436 | 0.048 | 6.245 | 0.056 |
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 | 18 | 17 | 17 | 19 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.85 | 0.85 | 0.95 | 0.85 | 0.85 |
time (sec) |
N/A | 0.008 | 0.008 | 0.207 | 0.486 | 0.429 | 0.052 | 3.653 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 33 | 28 | 27 | 44 | 29 | 60 | 35 |
N.S. | 1 | 1.00 | 0.89 | 0.76 | 0.73 | 1.19 | 0.78 | 1.62 | 0.95 |
time (sec) |
N/A | 0.028 | 0.018 | 0.182 | 0.481 | 0.389 | 0.059 | 3.966 | 2.144 |
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 | 26 | 26 | 22 | 21 | 21 | 26 | 21 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.81 | 0.81 | 1.00 | 0.81 | 0.81 |
time (sec) |
N/A | 0.008 | 0.007 | 0.168 | 0.486 | 0.417 | 0.025 | 3.208 | 0.030 |
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 | 11 | 10 | 16 | 10 | 11 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 1.33 | 0.83 | 0.92 | 0.83 |
time (sec) |
N/A | 0.023 | 0.003 | 0.158 | 0.270 | 0.406 | 0.024 | 2.443 | 2.125 |
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 | 21 | 21 | 21 | 18 | 17 | 17 | 15 | 20 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.71 | 0.95 | 1.00 |
time (sec) |
N/A | 0.019 | 0.005 | 0.018 | 0.283 | 0.429 | 0.044 | 3.551 | 2.144 |
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 | 22 | 22 | 21 | 20 | 34 | 17 | 20 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.91 | 1.55 | 0.77 | 0.91 | 0.91 |
time (sec) |
N/A | 0.010 | 0.007 | 0.015 | 0.489 | 0.382 | 0.034 | 3.782 | 2.124 |
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 | 24 | 24 | 21 | 20 | 32 | 19 | 20 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.83 | 1.33 | 0.79 | 0.83 | 0.92 |
time (sec) |
N/A | 0.012 | 0.009 | 0.015 | 0.505 | 0.402 | 0.036 | 4.443 | 0.029 |
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 | 36 | 36 | 36 | 34 | 33 | 33 | 39 | 33 | 56 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.92 | 0.92 | 1.08 | 0.92 | 1.56 |
time (sec) |
N/A | 0.018 | 0.012 | 0.208 | 0.478 | 0.404 | 0.077 | 4.627 | 0.103 |
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 | 37 | 37 | 37 | 28 | 27 | 27 | 29 | 27 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.73 | 0.73 | 0.78 | 0.73 | 1.00 |
time (sec) |
N/A | 0.018 | 0.007 | 0.189 | 0.488 | 0.393 | 0.067 | 6.116 | 2.136 |
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 | 29 | 29 | 22 | 21 | 21 | 22 | 23 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.72 | 0.72 | 0.76 | 0.79 | 0.72 |
time (sec) |
N/A | 0.013 | 0.004 | 0.223 | 0.268 | 0.395 | 0.037 | 5.066 | 2.214 |
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 | 19 | 19 | 16 | 15 | 15 | 14 | 16 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.84 | 0.79 |
time (sec) |
N/A | 0.010 | 0.003 | 0.188 | 0.276 | 0.401 | 0.018 | 3.863 | 0.034 |
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 | 41 | 41 | 41 | 35 | 34 | 34 | 46 | 34 | 36 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.83 | 0.83 | 1.12 | 0.83 | 0.88 |
time (sec) |
N/A | 0.023 | 0.011 | 0.285 | 0.496 | 0.426 | 0.037 | 3.362 | 0.043 |
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 | 41 | 41 | 39 | 32 | 31 | 31 | 34 | 31 | 31 |
N.S. | 1 | 1.00 | 0.95 | 0.78 | 0.76 | 0.76 | 0.83 | 0.76 | 0.76 |
time (sec) |
N/A | 0.019 | 0.006 | 0.272 | 0.479 | 0.390 | 0.035 | 4.160 | 2.116 |
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 | 30 | 30 | 24 | 21 | 20 | 20 | 24 | 23 | 20 |
N.S. | 1 | 1.00 | 0.80 | 0.70 | 0.67 | 0.67 | 0.80 | 0.77 | 0.67 |
time (sec) |
N/A | 0.037 | 0.009 | 0.221 | 0.279 | 0.425 | 0.053 | 3.070 | 2.125 |
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 | 35 | 35 | 35 | 28 | 27 | 27 | 31 | 30 | 27 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.89 | 0.86 | 0.77 |
time (sec) |
N/A | 0.025 | 0.006 | 0.021 | 0.273 | 0.434 | 0.053 | 2.431 | 0.044 |
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 | 34 | 34 | 32 | 25 | 24 | 34 | 27 | 34 | 26 |
N.S. | 1 | 1.00 | 0.94 | 0.74 | 0.71 | 1.00 | 0.79 | 1.00 | 0.76 |
time (sec) |
N/A | 0.033 | 0.011 | 0.196 | 0.270 | 0.395 | 0.050 | 3.164 | 2.109 |
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 | 42 | 42 | 42 | 35 | 33 | 44 | 36 | 33 | 39 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.79 | 1.05 | 0.86 | 0.79 | 0.93 |
time (sec) |
N/A | 0.014 | 0.015 | 0.190 | 0.486 | 0.431 | 0.044 | 3.881 | 2.187 |
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 | 49 | 49 | 49 | 38 | 37 | 37 | 46 | 37 | 41 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.76 | 0.76 | 0.94 | 0.76 | 0.84 |
time (sec) |
N/A | 0.106 | 0.010 | 0.395 | 0.482 | 0.436 | 0.091 | 3.795 | 0.072 |
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 | 29 | 29 | 20 | 19 | 19 | 24 | 22 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.69 | 0.66 | 0.66 | 0.83 | 0.76 | 0.66 |
time (sec) |
N/A | 0.034 | 0.006 | 0.209 | 0.268 | 0.382 | 0.050 | 3.242 | 2.182 |
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 | 46 | 46 | 43 | 34 | 33 | 33 | 41 | 34 | 50 |
N.S. | 1 | 1.00 | 0.93 | 0.74 | 0.72 | 0.72 | 0.89 | 0.74 | 1.09 |
time (sec) |
N/A | 0.031 | 0.013 | 0.201 | 0.490 | 0.391 | 0.052 | 3.243 | 0.086 |