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 | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 18 | 18 | 22 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.90 | 0.90 | 1.10 | 0.90 | 0.90 |
time (sec) |
N/A | 0.015 | 0.013 | 0.012 | 0.284 | 0.388 | 0.033 | 2.488 | 3.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 41 | 13 | 13 | 0 | 0 | 13 |
N.S. | 1 | 1.00 | 1.00 | 2.73 | 0.87 | 0.87 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.015 | 0.024 | 0.016 | 0.316 | 0.411 | 0.000 | 0.000 | 3.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 97 | 18 | 35 | 0 | 0 | 32 |
N.S. | 1 | 1.00 | 0.91 | 2.77 | 0.51 | 1.00 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.028 | 0.031 | 0.022 | 0.324 | 0.361 | 0.000 | 0.000 | 3.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 48 | 141 | 22 | 48 | 0 | 0 | 57 |
N.S. | 1 | 1.00 | 0.83 | 2.43 | 0.38 | 0.83 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.043 | 0.038 | 0.028 | 0.322 | 0.351 | 0.000 | 0.000 | 3.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 59 | 177 | 22 | 59 | 0 | 0 | 69 |
N.S. | 1 | 1.00 | 0.73 | 2.19 | 0.27 | 0.73 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.060 | 0.044 | 0.030 | 0.331 | 0.371 | 0.000 | 0.000 | 3.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 213 | 22 | 71 | 0 | 0 | 90 |
N.S. | 1 | 1.00 | 1.00 | 8.88 | 0.92 | 2.96 | 0.00 | 0.00 | 3.75 |
time (sec) |
N/A | 0.015 | 0.028 | 0.036 | 0.057 | 0.099 | 0.000 | 0.000 | 3.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 249 | 22 | 83 | 0 | 0 | 102 |
N.S. | 1 | 1.00 | 1.00 | 10.38 | 0.92 | 3.46 | 0.00 | 0.00 | 4.25 |
time (sec) |
N/A | 0.014 | 0.030 | 0.041 | 0.057 | 0.094 | 0.000 | 0.000 | 3.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 106 | 28 | 49 | 0 | 0 | 71 |
N.S. | 1 | 1.00 | 1.00 | 3.12 | 0.82 | 1.44 | 0.00 | 0.00 | 2.09 |
time (sec) |
N/A | 0.014 | 0.057 | 0.020 | 0.058 | 0.090 | 0.000 | 0.000 | 3.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 109 | 28 | 47 | 0 | 0 | 75 |
N.S. | 1 | 1.00 | 1.00 | 3.21 | 0.82 | 1.38 | 0.00 | 0.00 | 2.21 |
time (sec) |
N/A | 0.016 | 0.048 | 0.028 | 0.058 | 0.115 | 0.000 | 0.000 | 3.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 75 | 28 | 29 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.21 | 0.82 | 0.85 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 0.050 | 0.013 | 0.059 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 78 | 26 | 29 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.44 | 0.81 | 0.91 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.003 | 0.052 | 0.013 | 0.056 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 100 | 28 | 38 | 0 | 0 | 63 |
N.S. | 1 | 1.00 | 1.00 | 2.94 | 0.82 | 1.12 | 0.00 | 0.00 | 1.85 |
time (sec) |
N/A | 0.014 | 0.060 | 0.020 | 0.057 | 0.101 | 0.000 | 0.000 | 3.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 102 | 28 | 41 | 0 | 0 | 70 |
N.S. | 1 | 1.00 | 1.00 | 3.00 | 0.82 | 1.21 | 0.00 | 0.00 | 2.06 |
time (sec) |
N/A | 0.015 | 0.060 | 0.019 | 0.058 | 0.106 | 0.000 | 0.000 | 3.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.73 | 0.73 | 0.64 | 0.73 | 0.73 |
time (sec) |
N/A | 0.010 | 0.011 | 0.012 | 0.284 | 0.365 | 0.028 | 2.544 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 136 | 35 | 0 | 0 | 0 | 52 |
N.S. | 1 | 1.00 | 1.00 | 3.89 | 1.00 | 0.00 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.014 | 0.007 | 0.040 | 0.061 | 0.000 | 0.000 | 0.000 | 3.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 121 | 22 | 80 | 0 | 0 | 99 |
N.S. | 1 | 1.00 | 1.00 | 5.50 | 1.00 | 3.64 | 0.00 | 0.00 | 4.50 |
time (sec) |
N/A | 0.014 | 0.003 | 0.072 | 0.057 | 0.089 | 0.000 | 0.000 | 3.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 99 | 21 | 68 | 0 | 0 | 87 |
N.S. | 1 | 1.00 | 1.00 | 4.71 | 1.00 | 3.24 | 0.00 | 0.00 | 4.14 |
time (sec) |
N/A | 0.016 | 0.003 | 0.061 | 0.057 | 0.117 | 0.000 | 0.000 | 3.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 53 | 77 | 22 | 56 | 0 | 0 | 66 |
N.S. | 1 | 1.00 | 0.67 | 0.97 | 0.28 | 0.71 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.042 | 0.019 | 0.068 | 0.321 | 0.465 | 0.000 | 0.000 | 3.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 40 | 55 | 21 | 43 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 0.71 | 0.98 | 0.38 | 0.77 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.029 | 0.015 | 0.067 | 0.318 | 0.375 | 0.000 | 0.000 | 3.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 31 | 18 | 30 | 0 | 0 | 27 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 0.64 | 1.07 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.015 | 0.007 | 0.064 | 0.323 | 0.390 | 0.000 | 0.000 | 3.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 15 | 13 | 13 | 0 | 0 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 1.00 | 1.00 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.012 | 0.003 | 0.063 | 0.321 | 0.362 | 0.000 | 0.000 | 3.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 18 | 20 | 20 | 20 | 18 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.11 | 1.11 | 1.11 | 1.00 |
time (sec) |
N/A | 0.013 | 0.003 | 0.013 | 0.279 | 0.361 | 0.036 | 3.334 | 3.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 27 | 32 | 21 | 31 | 22 | 0 | 27 |
N.S. | 1 | 1.00 | 0.69 | 0.82 | 0.54 | 0.79 | 0.56 | 0.00 | 0.69 |
time (sec) |
N/A | 0.025 | 0.006 | 0.015 | 0.321 | 0.437 | 0.041 | 0.000 | 3.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 41 | 44 | 22 | 43 | 39 | 0 | 45 |
N.S. | 1 | 1.00 | 0.67 | 0.72 | 0.36 | 0.70 | 0.64 | 0.00 | 0.74 |
time (sec) |
N/A | 0.042 | 0.007 | 0.021 | 0.318 | 0.448 | 0.051 | 0.000 | 3.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 53 | 56 | 21 | 55 | 53 | 0 | 57 |
N.S. | 1 | 1.00 | 0.65 | 0.68 | 0.26 | 0.67 | 0.65 | 0.00 | 0.70 |
time (sec) |
N/A | 0.058 | 0.008 | 0.024 | 0.319 | 0.434 | 0.052 | 0.000 | 3.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 22 | 68 | 22 | 67 | 66 | 0 | 69 |
N.S. | 1 | 1.00 | 0.34 | 1.05 | 0.34 | 1.03 | 1.02 | 0.00 | 1.06 |
time (sec) |
N/A | 0.023 | 0.003 | 0.026 | 0.320 | 0.365 | 0.055 | 0.000 | 3.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 21 | 80 | 21 | 79 | 80 | 0 | 81 |
N.S. | 1 | 1.00 | 0.27 | 1.04 | 0.27 | 1.03 | 1.04 | 0.00 | 1.05 |
time (sec) |
N/A | 0.025 | 0.003 | 0.029 | 0.323 | 0.370 | 0.059 | 0.000 | 3.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 169 | 38 | 0 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 1.00 | 3.67 | 0.83 | 0.00 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.017 | 0.008 | 0.029 | 0.060 | 0.000 | 0.000 | 0.000 | 3.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 123 | 22 | 84 | 0 | 0 | 102 |
N.S. | 1 | 1.00 | 1.00 | 5.12 | 0.92 | 3.50 | 0.00 | 0.00 | 4.25 |
time (sec) |
N/A | 0.018 | 0.003 | 0.049 | 0.058 | 0.114 | 0.000 | 0.000 | 3.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 101 | 22 | 72 | 0 | 0 | 90 |
N.S. | 1 | 1.00 | 1.00 | 4.21 | 0.92 | 3.00 | 0.00 | 0.00 | 3.75 |
time (sec) |
N/A | 0.017 | 0.003 | 0.037 | 0.060 | 0.119 | 0.000 | 0.000 | 3.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 57 | 79 | 22 | 60 | 0 | 0 | 69 |
N.S. | 1 | 1.00 | 0.70 | 0.98 | 0.27 | 0.74 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.063 | 0.017 | 0.034 | 0.328 | 0.357 | 0.000 | 0.000 | 3.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 44 | 57 | 22 | 47 | 0 | 0 | 57 |
N.S. | 1 | 1.00 | 0.76 | 0.98 | 0.38 | 0.81 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.042 | 0.011 | 0.028 | 0.331 | 0.448 | 0.000 | 0.000 | 3.650 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 35 | 18 | 35 | 0 | 0 | 33 |
N.S. | 1 | 1.00 | 0.91 | 1.00 | 0.51 | 1.00 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.026 | 0.005 | 0.025 | 0.320 | 0.376 | 0.000 | 0.000 | 3.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 13 | 13 | 0 | 0 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 0.87 | 0.87 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.015 | 0.003 | 0.022 | 0.331 | 0.362 | 0.000 | 0.000 | 3.504 |
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 | 19 | 18 | 22 | 27 | 22 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.90 | 1.10 | 1.35 | 1.10 | 0.90 |
time (sec) |
N/A | 0.015 | 0.004 | 0.013 | 0.279 | 0.347 | 0.038 | 3.023 | 3.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 32 | 35 | 22 | 34 | 29 | 0 | 36 |
N.S. | 1 | 1.00 | 0.73 | 0.80 | 0.50 | 0.77 | 0.66 | 0.00 | 0.82 |
time (sec) |
N/A | 0.030 | 0.006 | 0.017 | 0.329 | 0.343 | 0.046 | 0.000 | 3.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 45 | 47 | 22 | 47 | 44 | 0 | 47 |
N.S. | 1 | 1.00 | 0.73 | 0.76 | 0.35 | 0.76 | 0.71 | 0.00 | 0.76 |
time (sec) |
N/A | 0.046 | 0.007 | 0.022 | 0.318 | 0.387 | 0.058 | 0.000 | 3.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 58 | 59 | 22 | 60 | 58 | 0 | 60 |
N.S. | 1 | 1.00 | 0.67 | 0.69 | 0.26 | 0.70 | 0.67 | 0.00 | 0.70 |
time (sec) |
N/A | 0.064 | 0.008 | 0.028 | 0.322 | 0.378 | 0.064 | 0.000 | 3.631 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 24 | 71 | 22 | 71 | 71 | 0 | 72 |
N.S. | 1 | 1.00 | 0.35 | 1.03 | 0.32 | 1.03 | 1.03 | 0.00 | 1.04 |
time (sec) |
N/A | 0.024 | 0.004 | 0.038 | 0.315 | 0.389 | 0.071 | 0.000 | 3.601 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 24 | 83 | 22 | 84 | 85 | 0 | 84 |
N.S. | 1 | 1.00 | 0.29 | 1.01 | 0.27 | 1.02 | 1.04 | 0.00 | 1.02 |
time (sec) |
N/A | 0.026 | 0.003 | 0.035 | 0.333 | 0.346 | 0.069 | 0.000 | 3.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 124 | 28 | 110 | 0 | 0 | 173 |
N.S. | 1 | 1.00 | 1.00 | 3.65 | 0.82 | 3.24 | 0.00 | 0.00 | 5.09 |
time (sec) |
N/A | 0.016 | 0.004 | 0.086 | 0.330 | 0.432 | 0.000 | 0.000 | 3.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 112 | 28 | 98 | 0 | 0 | 151 |
N.S. | 1 | 1.00 | 1.00 | 3.29 | 0.82 | 2.88 | 0.00 | 0.00 | 4.44 |
time (sec) |
N/A | 0.017 | 0.004 | 0.040 | 0.321 | 0.388 | 0.000 | 0.000 | 3.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 86 | 100 | 28 | 86 | 0 | 0 | 129 |
N.S. | 1 | 1.00 | 0.72 | 0.84 | 0.24 | 0.72 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.091 | 0.027 | 0.034 | 0.322 | 0.410 | 0.000 | 0.000 | 3.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 74 | 88 | 28 | 74 | 0 | 0 | 107 |
N.S. | 1 | 1.00 | 0.77 | 0.92 | 0.29 | 0.77 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.064 | 0.023 | 0.029 | 0.320 | 0.361 | 0.000 | 0.000 | 3.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 60 | 67 | 28 | 56 | 0 | 0 | 71 |
N.S. | 1 | 1.00 | 0.82 | 0.92 | 0.38 | 0.77 | 0.00 | 0.00 | 0.97 |
time (sec) |
N/A | 0.045 | 0.019 | 0.026 | 0.319 | 0.380 | 0.000 | 0.000 | 3.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 44 | 26 | 42 | 0 | 0 | 44 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.53 | 0.86 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.026 | 0.009 | 0.023 | 0.321 | 0.390 | 0.000 | 0.000 | 3.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 28 | 34 | 34 | 0 | 0 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.72 | 0.87 | 0.87 | 0.00 | 0.00 | 0.72 |
time (sec) |
N/A | 0.020 | 0.005 | 0.022 | 0.313 | 0.380 | 0.000 | 0.000 | 3.522 |
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 | 63 | 63 | 63 | 58 | 28 | 58 | 0 | 0 | 58 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.44 | 0.92 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.039 | 0.015 | 0.040 | 0.322 | 0.399 | 0.000 | 0.000 | 3.563 |
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 | 86 | 86 | 74 | 79 | 28 | 76 | 0 | 0 | 79 |
N.S. |
1 | 1.00 | 0.86 | 0.92 | 0.33 | 0.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.055 | 0.037 | 0.033 | 0.331 | 0.388 | 0.000 | 0.000 | 3.594 |
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 | 109 | 109 | 86 | 91 | 28 | 88 | 0 | 0 | 102 |
N.S. |
1 | 1.00 | 0.79 | 0.83 | 0.26 | 0.81 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.077 | 0.040 | 0.053 | 0.321 | 0.393 | 0.000 | 0.000 | 3.662 |
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 | 132 | 132 | 100 | 103 | 28 | 100 | 0 | 0 | 121 |
N.S. |
1 | 1.00 | 0.76 | 0.78 | 0.21 | 0.76 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.100 | 0.061 | 0.048 | 0.323 | 0.360 | 0.000 | 0.000 | 3.691 |
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 | 34 | 34 | 34 | 115 | 28 | 112 | 0 | 0 | 142 |
N.S. |
1 | 1.00 | 1.00 | 3.38 | 0.82 | 3.29 | 0.00 | 0.00 | 4.18 |
time (sec) |
N/A | 0.015 | 0.005 | 0.061 | 0.062 | 0.085 | 0.000 | 0.000 | 3.705 |
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 | 34 | 34 | 34 | 127 | 28 | 124 | 0 | 0 | 159 |
N.S. |
1 | 1.00 | 1.00 | 3.74 | 0.82 | 3.65 | 0.00 | 0.00 | 4.68 |
time (sec) |
N/A | 0.014 | 0.007 | 0.082 | 0.057 | 0.093 | 0.000 | 0.000 | 3.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 169 | 38 | 0 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 1.00 | 3.67 | 0.83 | 0.00 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.016 | 0.009 | 0.030 | 0.062 | 0.000 | 0.000 | 0.000 | 3.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 249 | 22 | 84 | 0 | 0 | 102 |
N.S. | 1 | 1.00 | 1.00 | 10.38 | 0.92 | 3.50 | 0.00 | 0.00 | 4.25 |
time (sec) |
N/A | 0.018 | 0.003 | 0.041 | 0.057 | 0.090 | 0.000 | 0.000 | 3.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 213 | 22 | 72 | 0 | 0 | 90 |
N.S. | 1 | 1.00 | 1.00 | 8.88 | 0.92 | 3.00 | 0.00 | 0.00 | 3.75 |
time (sec) |
N/A | 0.016 | 0.003 | 0.052 | 0.056 | 0.093 | 0.000 | 0.000 | 3.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 57 | 177 | 22 | 60 | 0 | 0 | 69 |
N.S. | 1 | 1.00 | 0.70 | 2.19 | 0.27 | 0.74 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.064 | 0.016 | 0.034 | 0.317 | 0.402 | 0.000 | 0.000 | 3.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 44 | 141 | 22 | 47 | 0 | 0 | 57 |
N.S. | 1 | 1.00 | 0.76 | 2.43 | 0.38 | 0.81 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.049 | 0.012 | 0.047 | 0.319 | 0.426 | 0.000 | 0.000 | 3.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 97 | 18 | 35 | 0 | 0 | 33 |
N.S. | 1 | 1.00 | 0.91 | 2.77 | 0.51 | 1.00 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.031 | 0.005 | 0.030 | 0.321 | 0.357 | 0.000 | 0.000 | 3.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 41 | 13 | 13 | 0 | 0 | 13 |
N.S. | 1 | 1.00 | 1.00 | 2.73 | 0.87 | 0.87 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.016 | 0.003 | 0.026 | 0.329 | 0.360 | 0.000 | 0.000 | 3.591 |
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 | 19 | 18 | 22 | 27 | 22 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.90 | 1.10 | 1.35 | 1.10 | 0.90 |
time (sec) |
N/A | 0.015 | 0.004 | 0.014 | 0.282 | 0.349 | 0.037 | 2.809 | 3.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 32 | 35 | 22 | 34 | 29 | 0 | 36 |
N.S. | 1 | 1.00 | 0.73 | 0.80 | 0.50 | 0.77 | 0.66 | 0.00 | 0.82 |
time (sec) |
N/A | 0.034 | 0.007 | 0.020 | 0.324 | 0.400 | 0.044 | 0.000 | 3.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 45 | 47 | 22 | 47 | 44 | 0 | 48 |
N.S. | 1 | 1.00 | 0.67 | 0.70 | 0.33 | 0.70 | 0.66 | 0.00 | 0.72 |
time (sec) |
N/A | 0.046 | 0.008 | 0.025 | 0.330 | 0.408 | 0.052 | 0.000 | 3.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 58 | 59 | 22 | 60 | 58 | 0 | 60 |
N.S. | 1 | 1.00 | 0.70 | 0.71 | 0.27 | 0.72 | 0.70 | 0.00 | 0.72 |
time (sec) |
N/A | 0.065 | 0.009 | 0.044 | 0.344 | 0.400 | 0.057 | 0.000 | 3.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 24 | 71 | 22 | 71 | 71 | 0 | 72 |
N.S. | 1 | 1.00 | 0.35 | 1.03 | 0.32 | 1.03 | 1.03 | 0.00 | 1.04 |
time (sec) |
N/A | 0.024 | 0.004 | 0.037 | 0.315 | 0.370 | 0.062 | 0.000 | 3.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 24 | 83 | 22 | 84 | 85 | 0 | 84 |
N.S. | 1 | 1.00 | 0.29 | 1.01 | 0.27 | 1.02 | 1.04 | 0.00 | 1.02 |
time (sec) |
N/A | 0.027 | 0.003 | 0.021 | 0.333 | 0.418 | 0.067 | 0.000 | 3.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 120 | 28 | 55 | 0 | 0 | 88 |
N.S. | 1 | 1.00 | 1.00 | 3.53 | 0.82 | 1.62 | 0.00 | 0.00 | 2.59 |
time (sec) |
N/A | 0.017 | 0.004 | 0.029 | 0.058 | 0.086 | 0.000 | 0.000 | 3.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 115 | 28 | 51 | 0 | 0 | 80 |
N.S. | 1 | 1.00 | 1.00 | 3.38 | 0.82 | 1.50 | 0.00 | 0.00 | 2.35 |
time (sec) |
N/A | 0.016 | 0.004 | 0.029 | 0.057 | 0.110 | 0.000 | 0.000 | 3.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 105 | 28 | 41 | 0 | 0 | 70 |
N.S. | 1 | 1.00 | 1.00 | 3.09 | 0.82 | 1.21 | 0.00 | 0.00 | 2.06 |
time (sec) |
N/A | 0.010 | 0.004 | 0.024 | 0.058 | 0.100 | 0.000 | 0.000 | 3.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 98 | 26 | 38 | 0 | 0 | 48 |
N.S. | 1 | 1.00 | 1.00 | 3.06 | 0.81 | 1.19 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.003 | 0.003 | 0.024 | 0.055 | 0.093 | 0.000 | 0.000 | 3.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 82 | 28 | 29 | 0 | 0 | 46 |
N.S. | 1 | 1.00 | 1.00 | 2.41 | 0.82 | 0.85 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.016 | 0.005 | 0.025 | 0.060 | 0.093 | 0.000 | 0.000 | 3.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 78 | 28 | 29 | 0 | 0 | 33 |
N.S. | 1 | 1.00 | 1.00 | 2.29 | 0.82 | 0.85 | 0.00 | 0.00 | 0.97 |
time (sec) |
N/A | 0.015 | 0.005 | 0.026 | 0.061 | 0.083 | 0.000 | 0.000 | 3.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 112 | 28 | 53 | 0 | 0 | 77 |
N.S. |
1 | 1.00 | 1.00 | 3.29 | 0.82 | 1.56 | 0.00 | 0.00 | 2.26 |
time (sec) |
N/A | 0.015 | 0.005 | 0.029 | 0.060 | 0.115 | 0.000 | 0.000 | 3.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 280 | 47 | 0 | 0 | 0 | 79 |
N.S. | 1 | 1.00 | 1.00 | 6.09 | 1.02 | 0.00 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.017 | 0.010 | 0.044 | 0.070 | 0.000 | 0.000 | 0.000 | 3.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 212 | 41 | 0 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 1.00 | 5.44 | 1.05 | 0.00 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.017 | 0.006 | 0.029 | 0.067 | 0.000 | 0.000 | 0.000 | 3.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 212 | 41 | 0 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 1.00 | 5.44 | 1.05 | 0.00 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.017 | 0.006 | 0.035 | 0.068 | 0.000 | 0.000 | 0.000 | 3.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 212 | 41 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 5.44 | 1.05 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.010 | 0.005 | 0.030 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 201 | 35 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 5.74 | 1.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.003 | 0.005 | 0.029 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 19 | 15 | 15 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.016 | 0.003 | 0.064 | 0.324 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 195 | 37 | 0 | 0 | 0 | 52 |
N.S. | 1 | 1.00 | 1.00 | 5.27 | 1.00 | 0.00 | 0.00 | 0.00 | 1.41 |
time (sec) |
N/A | 0.016 | 0.004 | 0.033 | 0.063 | 0.000 | 0.000 | 0.000 | 3.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 212 | 39 | 0 | 0 | 0 | 48 |
N.S. | 1 | 1.00 | 1.00 | 5.44 | 1.00 | 0.00 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.016 | 0.004 | 0.016 | 0.067 | 0.000 | 0.000 | 0.000 | 3.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 212 | 39 | 0 | 0 | 0 | 52 |
N.S. | 1 | 1.00 | 1.00 | 5.44 | 1.00 | 0.00 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.016 | 0.004 | 0.016 | 0.062 | 0.000 | 0.000 | 0.000 | 3.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 24 | 44 | 51 | 47 | 49 | 0 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.62 | 0.72 | 0.66 | 0.69 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.004 | 0.017 | 0.279 | 0.366 | 73.659 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 25 | 30 | 34 | 33 | 49 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 0.67 | 0.76 | 0.73 | 1.09 | 0.00 | -0.02 |
time (sec) |
N/A | 0.035 | 0.005 | 0.036 | 0.279 | 0.515 | 104.088 | 0.000 | 0.000 |
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 | 20 | 20 | 20 | 21 | 20 | 24 | 39 | 20 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.20 | 1.95 | 1.00 | 1.00 |
time (sec) |
N/A | 0.016 | 0.004 | 0.031 | 0.286 | 0.440 | 19.909 | 2.632 | 3.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 19 | 15 | 15 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.016 | 0.002 | 0.000 | 0.328 | 0.647 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 20 | 43 | 20 | 43 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 1.13 | 0.53 | 1.13 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.033 | 0.004 | 0.074 | 0.319 | 0.374 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 25 | 70 | 25 | 61 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.35 | 0.99 | 0.35 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.004 | 0.084 | 0.326 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 39 | 82 | 33 | 82 | 56 | 0 | -1 |
N.S. | 1 | 1.00 | 0.38 | 0.79 | 0.32 | 0.79 | 0.54 | 0.00 | -0.01 |
time (sec) |
N/A | 0.079 | 0.008 | 0.069 | 0.325 | 0.405 | 72.968 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 39 | 67 | 33 | 64 | 56 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 0.91 | 0.45 | 0.86 | 0.76 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 0.008 | 0.038 | 0.325 | 0.410 | 65.131 | 0.000 | 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 | 43 | 43 | 43 | 32 | 38 | 42 | 53 | 33 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.88 | 0.98 | 1.23 | 0.77 | -0.02 |
time (sec) |
N/A | 0.027 | 0.007 | 0.044 | 0.332 | 0.390 | 85.973 | 6.063 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 39 | 59 | 35 | 83 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 0.89 | 0.53 | 1.26 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.045 | 0.006 | 0.049 | 0.329 | 0.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 39 | 79 | 35 | 0 | 56 | 0 | -1 |
N.S. | 1 | 1.00 | 0.41 | 0.82 | 0.36 | 0.00 | 0.58 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.007 | 0.059 | 0.332 | 0.000 | 66.730 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 11 | 15 | 9 | 0 | 10 | 10 | 9 |
N.S. |
1 | 1.00 | 0.69 | 0.94 | 0.56 | 0.00 | 0.62 | 0.62 | 0.56 |
time (sec) |
N/A | 0.006 | 0.005 | 0.012 | 0.279 | 0.000 | 0.025 | 3.029 | 0.029 |
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 | 203 | 203 | 96 | 249 | 264 | 113 | 0 | 136 | 171 |
N.S. | 1 | 1.00 | 0.47 | 1.23 | 1.30 | 0.56 | 0.00 | 0.67 | 0.84 |
time (sec) |
N/A | 0.131 | 0.188 | 0.066 | 0.395 | 0.361 | 0.000 | 3.516 | 3.558 |
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 | 140 | 140 | 83 | 168 | 218 | 95 | 0 | 107 | 121 |
N.S. | 1 | 1.00 | 0.59 | 1.20 | 1.56 | 0.68 | 0.00 | 0.76 | 0.86 |
time (sec) |
N/A | 0.093 | 0.147 | 0.027 | 0.381 | 0.370 | 0.000 | 2.153 | 3.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 63 | 80 | 131 | 72 | 0 | 77 | 66 |
N.S. | 1 | 1.00 | 0.93 | 1.18 | 1.93 | 1.06 | 0.00 | 1.13 | 0.97 |
time (sec) |
N/A | 0.035 | 0.053 | 0.038 | 0.362 | 0.389 | 0.000 | 2.895 | 3.482 |
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 | 41 | 41 | 41 | 40 | 45 | 0 | 33 | 45 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.98 | 1.10 | 0.00 | 0.80 | 1.10 |
time (sec) |
N/A | 0.006 | 0.028 | 0.024 | 0.291 | 0.354 | 0.000 | 3.034 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.011 | 0.129 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.479 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |