Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.104 | 0.012 | 0.025 | 0.274 | 0.332 | 0.000 | 4.973 | 4.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.109 | 0.012 | 0.028 | 0.277 | 0.336 | 0.000 | 4.811 | 4.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.107 | 0.013 | 0.026 | 0.277 | 0.355 | 0.000 | 3.437 | 4.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.107 | 0.014 | 0.028 | 0.270 | 0.358 | 0.000 | 3.475 | 4.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 57 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.040 | 0.016 | 0.048 | 0.286 | 0.326 | 0.000 | 4.011 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 57 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.041 | 0.014 | 0.048 | 0.286 | 0.353 | 0.000 | 4.027 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 57 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.039 | 0.014 | 0.046 | 0.284 | 0.323 | 0.000 | 3.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 57 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.041 | 0.014 | 0.046 | 0.275 | 0.343 | 0.000 | 3.002 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 57 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.041 | 0.014 | 0.046 | 0.276 | 0.327 | 0.000 | 3.753 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 83 | 80 | 56 | 56 | 0 | 104 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.32 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.041 | 0.015 | 0.045 | 0.280 | 0.340 | 0.000 | 3.915 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 81 | 78 | 54 | 54 | 0 | 102 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.034 | 0.012 | 0.017 | 0.279 | 0.320 | 0.000 | 3.974 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 83 | 80 | 55 | 59 | 0 | 103 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.32 | 0.22 | 0.24 | 0.00 | 0.42 | -0.00 |
time (sec) |
N/A | 0.040 | 0.014 | 0.023 | 0.310 | 0.314 | 0.000 | 3.490 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 83 | 80 | 54 | 59 | 0 | 104 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.33 | 0.22 | 0.24 | 0.00 | 0.42 | -0.00 |
time (sec) |
N/A | 0.039 | 0.016 | 0.026 | 0.274 | 0.332 | 0.000 | 5.899 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 83 | 80 | 55 | 59 | 0 | 106 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.32 | 0.22 | 0.24 | 0.00 | 0.43 | -0.00 |
time (sec) |
N/A | 0.039 | 0.014 | 0.030 | 0.277 | 0.346 | 0.000 | 4.615 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 83 | 80 | 55 | 59 | 0 | 106 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.32 | 0.22 | 0.24 | 0.00 | 0.43 | -0.00 |
time (sec) |
N/A | 0.039 | 0.012 | 0.023 | 0.290 | 0.337 | 0.000 | 5.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 83 | 80 | 54 | 59 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.33 | 0.22 | 0.24 | 0.00 | 0.43 | -0.00 |
time (sec) |
N/A | 0.039 | 0.013 | 0.023 | 0.289 | 0.359 | 0.000 | 6.077 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.32 | 0.23 | 0.24 | 0.00 | 0.43 | 0.92 |
time (sec) |
N/A | 0.040 | 0.012 | 0.024 | 0.279 | 0.349 | 0.000 | 5.071 | 4.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.32 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.040 | 0.012 | 0.023 | 0.290 | 0.335 | 0.000 | 3.931 | 4.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.040 | 0.012 | 0.026 | 0.275 | 0.333 | 0.000 | 3.289 | 4.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.040 | 0.012 | 0.024 | 0.288 | 0.358 | 0.000 | 4.424 | 4.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.041 | 0.014 | 0.025 | 0.282 | 0.324 | 0.000 | 3.199 | 4.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.040 | 0.012 | 0.025 | 0.271 | 0.349 | 0.000 | 3.962 | 4.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 83 | 80 | 57 | 59 | 0 | 107 | 231 |
N.S. | 1 | 1.00 | 0.33 | 0.31 | 0.22 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.040 | 0.013 | 0.029 | 0.281 | 0.352 | 0.000 | 5.979 | 4.311 |
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 | 127 | 127 | 55 | 52 | 34 | 33 | 32 | 59 | -1 |
N.S. | 1 | 1.00 | 0.43 | 0.41 | 0.27 | 0.26 | 0.25 | 0.46 | -0.01 |
time (sec) |
N/A | 0.071 | 0.018 | 0.124 | 0.285 | 0.328 | 0.055 | 4.357 | 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 | 75 | 75 | 44 | 41 | 23 | 22 | 20 | 33 | 64 |
N.S. | 1 | 1.00 | 0.59 | 0.55 | 0.31 | 0.29 | 0.27 | 0.44 | 0.85 |
time (sec) |
N/A | 0.038 | 0.009 | 0.122 | 0.271 | 0.342 | 0.048 | 5.992 | 4.519 |
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 | 35 | 32 | 13 | 13 | 10 | 22 | 33 |
N.S. | 1 | 1.00 | 0.80 | 0.73 | 0.30 | 0.30 | 0.23 | 0.50 | 0.75 |
time (sec) |
N/A | 0.022 | 0.006 | 0.121 | 0.274 | 0.322 | 0.035 | 5.400 | 4.415 |
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 | 80 | 80 | 42 | 37 | 23 | 18 | 15 | 33 | 40 |
N.S. | 1 | 1.00 | 0.52 | 0.46 | 0.29 | 0.22 | 0.19 | 0.41 | 0.50 |
time (sec) |
N/A | 0.023 | 0.008 | 0.128 | 0.291 | 0.357 | 0.089 | 4.732 | 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 | 125 | 122 | 54 | 52 | 33 | 33 | 31 | 52 | 75 |
N.S. | 1 | 0.98 | 0.43 | 0.42 | 0.26 | 0.26 | 0.25 | 0.42 | 0.60 |
time (sec) |
N/A | 0.034 | 0.011 | 0.138 | 0.281 | 0.361 | 0.124 | 4.033 | 4.454 |
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 | 129 | 129 | 66 | 64 | 37 | 99 | 80 | 64 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.50 | 0.29 | 0.77 | 0.62 | 0.50 | -0.01 |
time (sec) |
N/A | 0.031 | 0.018 | 0.141 | 0.498 | 0.343 | 0.066 | 6.241 | 0.000 |
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 | 89 | 89 | 54 | 48 | 26 | 82 | 56 | 42 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.54 | 0.29 | 0.92 | 0.63 | 0.47 | -0.01 |
time (sec) |
N/A | 0.021 | 0.010 | 0.126 | 0.504 | 0.357 | 0.056 | 4.955 | 0.000 |
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 | 53 | 53 | 44 | 34 | 15 | 67 | 53 | 23 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.64 | 0.28 | 1.26 | 1.00 | 0.43 | -0.02 |
time (sec) |
N/A | 0.010 | 0.009 | 0.149 | 0.495 | 0.355 | 0.050 | 3.687 | 0.000 |
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 | 92 | 92 | 56 | 50 | 29 | 82 | 65 | 37 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.54 | 0.32 | 0.89 | 0.71 | 0.40 | -0.01 |
time (sec) |
N/A | 0.021 | 0.010 | 0.132 | 0.494 | 0.352 | 0.074 | 3.341 | 0.000 |
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 | 133 | 130 | 70 | 68 | 40 | 106 | 87 | 50 | -1 |
N.S. | 1 | 0.98 | 0.53 | 0.51 | 0.30 | 0.80 | 0.65 | 0.38 | -0.01 |
time (sec) |
N/A | 0.030 | 0.018 | 0.129 | 0.532 | 0.370 | 0.097 | 4.670 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 81 | 103 | 66 | 91 | 0 | 92 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.65 | 0.42 | 0.58 | 0.00 | 0.58 | -0.01 |
time (sec) |
N/A | 0.088 | 0.022 | 0.029 | 0.287 | 0.364 | 0.000 | 3.679 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 61 | 81 | 55 | 69 | 0 | 62 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.72 | 0.49 | 0.61 | 0.00 | 0.55 | -0.01 |
time (sec) |
N/A | 0.068 | 0.016 | 0.048 | 0.292 | 0.316 | 0.000 | 4.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 69 | 39 | 32 | 36 | 36 | 0 | 32 | 42 |
N.S. | 1 | 1.68 | 0.95 | 0.78 | 0.88 | 0.88 | 0.00 | 0.78 | 1.02 |
time (sec) |
N/A | 0.034 | 0.009 | 0.024 | 0.291 | 0.349 | 0.000 | 4.633 | 4.244 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 27 | 24 | 26 | 26 | 0 | 24 | 34 |
N.S. | 1 | 1.00 | 0.71 | 0.63 | 0.68 | 0.68 | 0.00 | 0.63 | 0.89 |
time (sec) |
N/A | 0.017 | 0.006 | 0.017 | 0.284 | 0.331 | 0.000 | 4.249 | 4.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 74 | 107 | 57 | 90 | 0 | 89 | -1 |
N.S. | 1 | 1.00 | 0.50 | 0.73 | 0.39 | 0.61 | 0.00 | 0.61 | -0.01 |
time (sec) |
N/A | 0.054 | 0.020 | 0.030 | 0.292 | 0.342 | 0.000 | 4.629 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 97 | 133 | 75 | 119 | 0 | 122 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.70 | 0.40 | 0.63 | 0.00 | 0.65 | -0.01 |
time (sec) |
N/A | 0.063 | 0.027 | 0.054 | 0.280 | 0.341 | 0.000 | 4.490 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 84 | 97 | 59 | 188 | 0 | 65 | -1 |
N.S. | 1 | 1.00 | 0.66 | 0.76 | 0.46 | 1.47 | 0.00 | 0.51 | -0.01 |
time (sec) |
N/A | 0.033 | 0.022 | 0.038 | 0.521 | 0.341 | 0.000 | 3.884 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 81 | 99 | 62 | 190 | 0 | 70 | -1 |
N.S. | 1 | 1.00 | 0.63 | 0.77 | 0.48 | 1.47 | 0.00 | 0.54 | -0.01 |
time (sec) |
N/A | 0.033 | 0.020 | 0.053 | 0.496 | 0.339 | 0.000 | 4.490 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 83 | 97 | 58 | 188 | 0 | 65 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.72 | 0.43 | 1.39 | 0.00 | 0.48 | -0.01 |
time (sec) |
N/A | 0.024 | 0.017 | 0.042 | 0.494 | 0.345 | 0.000 | 4.184 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 93 | 119 | 71 | 202 | 0 | 87 | -1 |
N.S. | 1 | 1.00 | 0.55 | 0.70 | 0.42 | 1.20 | 0.00 | 0.51 | -0.01 |
time (sec) |
N/A | 0.041 | 0.023 | 0.034 | 0.502 | 0.379 | 0.000 | 6.020 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 105 | 139 | 86 | 238 | 0 | 101 | -1 |
N.S. | 1 | 1.00 | 0.50 | 0.67 | 0.41 | 1.14 | 0.00 | 0.48 | -0.00 |
time (sec) |
N/A | 0.053 | 0.027 | 0.036 | 0.489 | 0.331 | 0.000 | 5.125 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 103 | 163 | 110 | 157 | 0 | 114 | -1 |
N.S. | 1 | 1.00 | 0.43 | 0.68 | 0.46 | 0.66 | 0.00 | 0.48 | -0.00 |
time (sec) |
N/A | 0.129 | 0.027 | 0.031 | 0.290 | 0.313 | 0.000 | 3.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 83 | 141 | 99 | 135 | 0 | 84 | -1 |
N.S. | 1 | 1.00 | 0.42 | 0.72 | 0.51 | 0.69 | 0.00 | 0.43 | -0.01 |
time (sec) |
N/A | 0.111 | 0.021 | 0.027 | 0.279 | 0.331 | 0.000 | 4.596 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 61 | 54 | 80 | 80 | 0 | 54 | 144 |
N.S. | 1 | 1.00 | 1.49 | 1.32 | 1.95 | 1.95 | 0.00 | 1.32 | 3.51 |
time (sec) |
N/A | 0.027 | 0.012 | 0.030 | 0.283 | 0.339 | 0.000 | 3.940 | 4.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 50 | 43 | 69 | 69 | 0 | 43 | 53 |
N.S. | 1 | 1.00 | 0.68 | 0.58 | 0.93 | 0.93 | 0.00 | 0.58 | 0.72 |
time (sec) |
N/A | 0.010 | 0.013 | 0.026 | 0.284 | 0.334 | 0.000 | 3.840 | 4.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 39 | 32 | 58 | 58 | 0 | 32 | 42 |
N.S. | 1 | 1.00 | 0.57 | 0.46 | 0.84 | 0.84 | 0.00 | 0.46 | 0.61 |
time (sec) |
N/A | 0.034 | 0.010 | 0.025 | 0.279 | 0.350 | 0.000 | 3.604 | 4.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 27 | 24 | 48 | 48 | 0 | 24 | 34 |
N.S. | 1 | 1.00 | 0.71 | 0.63 | 1.26 | 1.26 | 0.00 | 0.63 | 0.89 |
time (sec) |
N/A | 0.017 | 0.007 | 0.021 | 0.290 | 0.327 | 0.000 | 3.588 | 4.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 96 | 193 | 101 | 178 | 0 | 111 | -1 |
N.S. | 1 | 1.00 | 0.43 | 0.87 | 0.45 | 0.80 | 0.00 | 0.50 | -0.00 |
time (sec) |
N/A | 0.081 | 0.030 | 0.033 | 0.283 | 0.370 | 0.000 | 4.127 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 119 | 219 | 119 | 207 | 0 | 144 | -1 |
N.S. | 1 | 1.00 | 0.45 | 0.82 | 0.45 | 0.78 | 0.00 | 0.54 | -0.00 |
time (sec) |
N/A | 0.095 | 0.032 | 0.038 | 0.285 | 0.376 | 0.000 | 3.549 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 105 | 172 | 109 | 324 | 0 | 93 | -1 |
N.S. | 1 | 1.00 | 0.50 | 0.82 | 0.52 | 1.54 | 0.00 | 0.44 | -0.00 |
time (sec) |
N/A | 0.060 | 0.028 | 0.039 | 0.497 | 0.377 | 0.000 | 3.395 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 105 | 172 | 111 | 324 | 0 | 93 | -1 |
N.S. | 1 | 1.00 | 0.50 | 0.81 | 0.52 | 1.53 | 0.00 | 0.44 | -0.00 |
time (sec) |
N/A | 0.056 | 0.028 | 0.040 | 0.495 | 0.356 | 0.000 | 4.174 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 105 | 172 | 109 | 324 | 0 | 93 | -1 |
N.S. | 1 | 1.00 | 0.49 | 0.81 | 0.51 | 1.52 | 0.00 | 0.44 | -0.00 |
time (sec) |
N/A | 0.056 | 0.024 | 0.037 | 0.493 | 0.350 | 0.000 | 4.262 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 105 | 169 | 102 | 320 | 0 | 87 | -1 |
N.S. | 1 | 1.00 | 0.49 | 0.79 | 0.48 | 1.50 | 0.00 | 0.41 | -0.00 |
time (sec) |
N/A | 0.047 | 0.027 | 0.035 | 0.498 | 0.330 | 0.000 | 3.944 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 115 | 191 | 115 | 334 | 0 | 109 | -1 |
N.S. | 1 | 1.00 | 0.46 | 0.76 | 0.46 | 1.33 | 0.00 | 0.43 | -0.00 |
time (sec) |
N/A | 0.069 | 0.031 | 0.037 | 0.497 | 0.351 | 0.000 | 3.941 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 127 | 211 | 130 | 370 | 0 | 123 | -1 |
N.S. | 1 | 1.00 | 0.44 | 0.73 | 0.45 | 1.27 | 0.00 | 0.42 | -0.00 |
time (sec) |
N/A | 0.083 | 0.033 | 0.042 | 0.510 | 0.342 | 0.000 | 4.052 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.158 | 4.785 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 48 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.086 | 4.647 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.112 | 5.270 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 618 | 618 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.256 | 5.753 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 609 | 609 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.237 | 5.350 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 649 | 649 | 61 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.267 | 6.045 | 0.003 | 0.000 | 0.000 | 0.000 | 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 | 51 | 51 | 33 | 42 | 41 | 40 | 48 | 48 | 40 |
N.S. | 1 | 1.00 | 0.65 | 0.82 | 0.80 | 0.78 | 0.94 | 0.94 | 0.78 |
time (sec) |
N/A | 0.010 | 0.020 | 0.030 | 0.280 | 0.361 | 0.422 | 3.237 | 0.074 |
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 | 51 | 51 | 33 | 42 | 41 | 34 | 48 | 42 | 41 |
N.S. | 1 | 1.00 | 0.65 | 0.82 | 0.80 | 0.67 | 0.94 | 0.82 | 0.80 |
time (sec) |
N/A | 0.010 | 0.019 | 0.025 | 0.280 | 0.340 | 0.233 | 3.686 | 4.224 |
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 | 51 | 51 | 33 | 42 | 41 | 29 | 48 | 37 | 41 |
N.S. | 1 | 1.00 | 0.65 | 0.82 | 0.80 | 0.57 | 0.94 | 0.73 | 0.80 |
time (sec) |
N/A | 0.010 | 0.015 | 0.023 | 0.323 | 0.342 | 0.120 | 4.309 | 0.050 |
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 | 33 | 41 | 41 | 31 | 46 | 41 | 41 |
N.S. | 1 | 1.00 | 0.67 | 0.84 | 0.84 | 0.63 | 0.94 | 0.84 | 0.84 |
time (sec) |
N/A | 0.009 | 0.016 | 0.024 | 0.337 | 0.347 | 0.220 | 4.517 | 0.045 |
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 | 33 | 42 | 44 | 34 | 46 | 51 | 31 |
N.S. | 1 | 1.00 | 0.67 | 0.86 | 0.90 | 0.69 | 0.94 | 1.04 | 0.63 |
time (sec) |
N/A | 0.010 | 0.019 | 0.028 | 0.279 | 0.344 | 0.230 | 3.342 | 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 | 49 | 49 | 33 | 42 | 43 | 34 | 46 | 53 | 34 |
N.S. | 1 | 1.00 | 0.67 | 0.86 | 0.88 | 0.69 | 0.94 | 1.08 | 0.69 |
time (sec) |
N/A | 0.010 | 0.019 | 0.030 | 0.285 | 0.319 | 0.286 | 3.609 | 4.231 |
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 | 38 | 42 | 47 | 34 | 46 | 48 | 34 |
N.S. | 1 | 1.00 | 0.78 | 0.86 | 0.96 | 0.69 | 0.94 | 0.98 | 0.69 |
time (sec) |
N/A | 0.010 | 0.022 | 0.033 | 0.306 | 0.360 | 0.430 | 4.479 | 0.050 |
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 | 55 | 74 | 73 | 68 | 88 | 86 | 71 |
N.S. | 1 | 1.00 | 0.60 | 0.81 | 0.80 | 0.75 | 0.97 | 0.95 | 0.78 |
time (sec) |
N/A | 0.031 | 0.024 | 0.055 | 0.298 | 0.360 | 0.699 | 3.845 | 4.199 |
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 | 55 | 74 | 73 | 58 | 88 | 74 | 71 |
N.S. | 1 | 1.00 | 0.60 | 0.81 | 0.80 | 0.64 | 0.97 | 0.81 | 0.78 |
time (sec) |
N/A | 0.028 | 0.022 | 0.059 | 0.289 | 0.326 | 0.430 | 4.193 | 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 | 91 | 91 | 55 | 74 | 73 | 51 | 88 | 69 | 71 |
N.S. | 1 | 1.00 | 0.60 | 0.81 | 0.80 | 0.56 | 0.97 | 0.76 | 0.78 |
time (sec) |
N/A | 0.029 | 0.020 | 0.055 | 0.268 | 0.329 | 0.238 | 3.446 | 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 | 89 | 89 | 55 | 73 | 90 | 53 | 87 | 73 | 71 |
N.S. | 1 | 1.00 | 0.62 | 0.82 | 1.01 | 0.60 | 0.98 | 0.82 | 0.80 |
time (sec) |
N/A | 0.027 | 0.020 | 0.030 | 0.279 | 0.355 | 0.338 | 6.404 | 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 | 89 | 89 | 55 | 74 | 76 | 56 | 87 | 89 | 71 |
N.S. | 1 | 1.00 | 0.62 | 0.83 | 0.85 | 0.63 | 0.98 | 1.00 | 0.80 |
time (sec) |
N/A | 0.028 | 0.023 | 0.035 | 0.274 | 0.329 | 0.353 | 2.888 | 0.033 |
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 | 89 | 89 | 55 | 74 | 76 | 56 | 87 | 92 | 71 |
N.S. | 1 | 1.00 | 0.62 | 0.83 | 0.85 | 0.63 | 0.98 | 1.03 | 0.80 |
time (sec) |
N/A | 0.028 | 0.023 | 0.056 | 0.277 | 0.349 | 0.389 | 3.341 | 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 | 87 | 87 | 60 | 74 | 82 | 56 | 85 | 95 | 75 |
N.S. | 1 | 1.00 | 0.69 | 0.85 | 0.94 | 0.64 | 0.98 | 1.09 | 0.86 |
time (sec) |
N/A | 0.028 | 0.026 | 0.040 | 0.281 | 0.338 | 0.482 | 3.883 | 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 | 129 | 129 | 77 | 105 | 105 | 96 | 128 | 124 | 103 |
N.S. | 1 | 1.00 | 0.60 | 0.81 | 0.81 | 0.74 | 0.99 | 0.96 | 0.80 |
time (sec) |
N/A | 0.045 | 0.029 | 0.059 | 0.303 | 0.342 | 1.065 | 4.107 | 0.039 |
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 | 131 | 131 | 77 | 106 | 105 | 82 | 129 | 106 | 103 |
N.S. | 1 | 1.00 | 0.59 | 0.81 | 0.80 | 0.63 | 0.98 | 0.81 | 0.79 |
time (sec) |
N/A | 0.042 | 0.026 | 0.059 | 0.299 | 0.328 | 0.694 | 4.291 | 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 | 131 | 131 | 77 | 106 | 105 | 73 | 129 | 101 | 103 |
N.S. | 1 | 1.00 | 0.59 | 0.81 | 0.80 | 0.56 | 0.98 | 0.77 | 0.79 |
time (sec) |
N/A | 0.041 | 0.022 | 0.078 | 0.304 | 0.340 | 0.432 | 3.343 | 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 | 129 | 129 | 77 | 105 | 155 | 75 | 128 | 105 | 103 |
N.S. | 1 | 1.00 | 0.60 | 0.81 | 1.20 | 0.58 | 0.99 | 0.81 | 0.80 |
time (sec) |
N/A | 0.041 | 0.024 | 0.035 | 0.288 | 0.336 | 0.517 | 3.877 | 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 | 125 | 125 | 77 | 105 | 108 | 78 | 124 | 127 | 103 |
N.S. | 1 | 1.00 | 0.62 | 0.84 | 0.86 | 0.62 | 0.99 | 1.02 | 0.82 |
time (sec) |
N/A | 0.044 | 0.028 | 0.041 | 0.309 | 0.341 | 0.550 | 3.846 | 0.039 |
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 | 127 | 127 | 77 | 106 | 108 | 78 | 126 | 130 | 103 |
N.S. | 1 | 1.00 | 0.61 | 0.83 | 0.85 | 0.61 | 0.99 | 1.02 | 0.81 |
time (sec) |
N/A | 0.041 | 0.028 | 0.041 | 0.287 | 0.361 | 0.612 | 3.749 | 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 | 127 | 127 | 82 | 106 | 114 | 78 | 126 | 133 | 107 |
N.S. | 1 | 1.00 | 0.65 | 0.83 | 0.90 | 0.61 | 0.99 | 1.05 | 0.84 |
time (sec) |
N/A | 0.041 | 0.030 | 0.046 | 0.275 | 0.342 | 0.769 | 3.802 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 178 | 207 | 300 | 283 | 0 | 297 | 129 |
N.S. | 1 | 1.00 | 0.56 | 0.66 | 0.95 | 0.90 | 0.00 | 0.94 | 0.41 |
time (sec) |
N/A | 0.265 | 0.298 | 0.072 | 0.509 | 0.356 | 0.000 | 4.277 | 4.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 167 | 188 | 273 | 283 | 0 | 277 | 112 |
N.S. | 1 | 1.00 | 0.56 | 0.63 | 0.92 | 0.95 | 0.00 | 0.93 | 0.38 |
time (sec) |
N/A | 0.211 | 0.282 | 0.086 | 0.514 | 0.356 | 0.000 | 3.836 | 0.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 167 | 190 | 282 | 247 | 0 | 263 | 112 |
N.S. | 1 | 1.00 | 0.56 | 0.64 | 0.95 | 0.83 | 0.00 | 0.88 | 0.38 |
time (sec) |
N/A | 0.202 | 0.270 | 0.065 | 0.491 | 0.344 | 0.000 | 3.522 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 154 | 171 | 256 | 247 | 0 | 277 | 92 |
N.S. | 1 | 1.00 | 0.55 | 0.61 | 0.91 | 0.88 | 0.00 | 0.99 | 0.33 |
time (sec) |
N/A | 0.182 | 0.262 | 0.047 | 0.501 | 0.354 | 0.000 | 3.464 | 4.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 153 | 177 | 265 | 234 | 0 | 261 | 92 |
N.S. | 1 | 1.00 | 0.54 | 0.63 | 0.94 | 0.83 | 0.00 | 0.93 | 0.33 |
time (sec) |
N/A | 0.174 | 0.261 | 0.046 | 0.510 | 0.359 | 0.000 | 4.071 | 4.355 |
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 | 283 | 283 | 152 | 180 | 255 | 232 | 78 | 264 | 90 |
N.S. | 1 | 1.00 | 0.54 | 0.64 | 0.90 | 0.82 | 0.28 | 0.93 | 0.32 |
time (sec) |
N/A | 0.180 | 0.237 | 0.043 | 0.499 | 0.398 | 2.540 | 3.300 | 0.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 154 | 177 | 261 | 232 | 0 | 269 | 90 |
N.S. | 1 | 1.00 | 0.54 | 0.63 | 0.92 | 0.82 | 0.00 | 0.95 | 0.32 |
time (sec) |
N/A | 0.172 | 0.245 | 0.046 | 0.508 | 0.368 | 0.000 | 3.292 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 300 | 300 | 165 | 191 | 268 | 276 | 0 | 294 | 102 |
N.S. | 1 | 1.00 | 0.55 | 0.64 | 0.89 | 0.92 | 0.00 | 0.98 | 0.34 |
time (sec) |
N/A | 0.203 | 0.275 | 0.069 | 0.508 | 0.341 | 0.000 | 3.077 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 300 | 300 | 165 | 194 | 275 | 300 | 0 | 276 | 102 |
N.S. | 1 | 1.00 | 0.55 | 0.65 | 0.92 | 1.00 | 0.00 | 0.92 | 0.34 |
time (sec) |
N/A | 0.195 | 0.277 | 0.069 | 0.505 | 0.377 | 0.000 | 3.208 | 4.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 318 | 318 | 181 | 206 | 290 | 323 | 0 | 307 | 113 |
N.S. | 1 | 1.00 | 0.57 | 0.65 | 0.91 | 1.02 | 0.00 | 0.97 | 0.36 |
time (sec) |
N/A | 0.223 | 0.298 | 0.073 | 0.497 | 0.349 | 0.000 | 3.953 | 4.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 205 | 237 | 361 | 399 | 0 | 336 | 188 |
N.S. | 1 | 1.00 | 0.56 | 0.64 | 0.98 | 1.08 | 0.00 | 0.91 | 0.51 |
time (sec) |
N/A | 0.277 | 0.568 | 0.105 | 0.523 | 0.398 | 0.000 | 4.017 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 194 | 218 | 334 | 399 | 0 | 316 | 171 |
N.S. | 1 | 1.00 | 0.55 | 0.62 | 0.95 | 1.14 | 0.00 | 0.90 | 0.49 |
time (sec) |
N/A | 0.251 | 0.547 | 0.105 | 0.520 | 0.392 | 0.000 | 4.149 | 4.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 175 | 220 | 343 | 363 | 0 | 302 | 171 |
N.S. | 1 | 1.00 | 0.50 | 0.63 | 0.98 | 1.04 | 0.00 | 0.86 | 0.49 |
time (sec) |
N/A | 0.250 | 0.472 | 0.093 | 0.502 | 0.372 | 0.000 | 3.174 | 4.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 164 | 203 | 317 | 370 | 0 | 314 | 153 |
N.S. | 1 | 1.00 | 0.49 | 0.61 | 0.95 | 1.11 | 0.00 | 0.94 | 0.46 |
time (sec) |
N/A | 0.227 | 0.470 | 0.065 | 0.500 | 0.361 | 0.000 | 3.418 | 0.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 164 | 209 | 326 | 373 | 0 | 301 | 153 |
N.S. | 1 | 1.00 | 0.49 | 0.63 | 0.98 | 1.12 | 0.00 | 0.90 | 0.46 |
time (sec) |
N/A | 0.222 | 0.460 | 0.062 | 0.506 | 0.350 | 0.000 | 3.462 | 4.289 |