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 | 143 | 143 | 92 | 116 | 64 | 86 | 0 | 64 | 660 |
N.S. | 1 | 1.00 | 0.64 | 0.81 | 0.45 | 0.60 | 0.00 | 0.45 | 4.62 |
time (sec) |
N/A | 0.064 | 0.038 | 0.027 | 0.652 | 0.337 | 0.000 | 0.381 | 3.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.394 | 0.040 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 114 | 371 | 81 | 95 | 0 | 61 | 867 |
N.S. | 1 | 1.00 | 1.24 | 4.03 | 0.88 | 1.03 | 0.00 | 0.66 | 9.42 |
time (sec) |
N/A | 0.094 | 0.029 | 0.833 | 0.854 | 0.335 | 0.000 | 0.387 | 1.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 86 | 239 | 69 | 83 | 0 | 44 | 620 |
N.S. | 1 | 1.00 | 1.21 | 3.37 | 0.97 | 1.17 | 0.00 | 0.62 | 8.73 |
time (sec) |
N/A | 0.082 | 0.033 | 0.256 | 0.873 | 0.330 | 0.000 | 0.383 | 1.473 |
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 | 47 | 47 | 49 | 136 | 48 | 61 | 54 | 37 | 46 |
N.S. | 1 | 1.00 | 1.04 | 2.89 | 1.02 | 1.30 | 1.15 | 0.79 | 0.98 |
time (sec) |
N/A | 0.039 | 0.027 | 0.107 | 0.851 | 0.381 | 39.214 | 0.384 | 1.028 |
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 | 27 | 43 | 32 | 32 | 42 | 18 | 25 |
N.S. | 1 | 1.00 | 0.79 | 1.26 | 0.94 | 0.94 | 1.24 | 0.53 | 0.74 |
time (sec) |
N/A | 0.019 | 0.032 | 0.084 | 0.845 | 0.325 | 37.239 | 0.385 | 0.082 |
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 | 16 | 15 | 12 | 24 | 24 | 12 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.75 | 1.50 | 1.50 | 0.75 | 0.88 |
time (sec) |
N/A | 0.005 | 0.007 | 0.059 | 0.475 | 0.345 | 25.471 | 0.389 | 0.059 |
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 | 97 | 97 | 74 | 92 | 51 | 80 | 0 | 43 | 645 |
N.S. | 1 | 1.00 | 0.76 | 0.95 | 0.53 | 0.82 | 0.00 | 0.44 | 6.65 |
time (sec) |
N/A | 0.100 | 0.062 | 0.023 | 0.863 | 0.347 | 0.000 | 0.391 | 3.661 |
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 | 131 | 131 | 93 | 117 | 69 | 109 | 0 | 60 | 804 |
N.S. | 1 | 1.00 | 0.71 | 0.89 | 0.53 | 0.83 | 0.00 | 0.46 | 6.14 |
time (sec) |
N/A | 0.113 | 0.037 | 0.027 | 0.863 | 0.368 | 0.000 | 0.392 | 3.665 |
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 | 170 | 170 | 107 | 145 | 86 | 130 | 0 | 73 | 909 |
N.S. | 1 | 1.00 | 0.63 | 0.85 | 0.51 | 0.76 | 0.00 | 0.43 | 5.35 |
time (sec) |
N/A | 0.098 | 0.036 | 0.031 | 0.842 | 0.342 | 0.000 | 0.404 | 2.728 |
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 | 101 | 101 | 83 | 154 | 64 | 64 | 0 | 150 | 811 |
N.S. | 1 | 1.00 | 0.82 | 1.52 | 0.63 | 0.63 | 0.00 | 1.49 | 8.03 |
time (sec) |
N/A | 0.048 | 0.024 | 0.090 | 0.532 | 0.325 | 0.000 | 0.402 | 1.052 |
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 | 80 | 80 | 66 | 124 | 53 | 53 | 0 | 125 | 648 |
N.S. | 1 | 1.00 | 0.82 | 1.55 | 0.66 | 0.66 | 0.00 | 1.56 | 8.10 |
time (sec) |
N/A | 0.035 | 0.025 | 0.080 | 0.524 | 0.341 | 0.000 | 0.388 | 0.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 49 | 69 | 42 | 42 | 0 | 102 | 485 |
N.S. | 1 | 1.00 | 0.83 | 1.17 | 0.71 | 0.71 | 0.00 | 1.73 | 8.22 |
time (sec) |
N/A | 0.022 | 0.026 | 0.085 | 0.538 | 0.337 | 0.000 | 0.395 | 0.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 32 | 42 | 30 | 30 | 0 | 75 | 151 |
N.S. | 1 | 1.00 | 0.84 | 1.11 | 0.79 | 0.79 | 0.00 | 1.97 | 3.97 |
time (sec) |
N/A | 0.011 | 0.033 | 0.082 | 0.523 | 0.349 | 0.000 | 0.394 | 1.038 |
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 | 18 | 18 | 18 | 15 | 12 | 12 | 26 | 18 | 95 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.67 | 0.67 | 1.44 | 1.00 | 5.28 |
time (sec) |
N/A | 0.004 | 0.009 | 0.065 | 0.537 | 0.347 | 0.138 | 0.409 | 1.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 54 | 0 | 73 | 0 | 40 | 308 |
N.S. | 1 | 1.00 | 0.97 | 0.86 | 0.00 | 1.16 | 0.00 | 0.63 | 4.89 |
time (sec) |
N/A | 0.044 | 0.061 | 0.064 | 0.000 | 0.345 | 0.000 | 0.384 | 2.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 65 | 63 | 0 | 93 | 0 | 51 | 341 |
N.S. | 1 | 1.00 | 0.98 | 0.95 | 0.00 | 1.41 | 0.00 | 0.77 | 5.17 |
time (sec) |
N/A | 0.022 | 0.031 | 0.068 | 0.000 | 0.335 | 0.000 | 0.396 | 6.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 89 | 92 | 0 | 119 | 0 | 75 | 741 |
N.S. | 1 | 1.00 | 0.71 | 0.74 | 0.00 | 0.95 | 0.00 | 0.60 | 5.93 |
time (sec) |
N/A | 0.052 | 0.077 | 0.069 | 0.000 | 0.342 | 0.000 | 0.392 | 5.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 115 | 185 | 0 | 145 | 0 | 93 | 964 |
N.S. | 1 | 1.00 | 0.64 | 1.03 | 0.00 | 0.81 | 0.00 | 0.52 | 5.39 |
time (sec) |
N/A | 0.084 | 0.072 | 0.069 | 0.000 | 0.360 | 0.000 | 0.395 | 5.513 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 83 | 154 | 64 | 75 | 0 | 241 | 1813 |
N.S. | 1 | 1.00 | 0.82 | 1.52 | 0.63 | 0.74 | 0.00 | 2.39 | 17.95 |
time (sec) |
N/A | 0.047 | 0.025 | 0.079 | 0.523 | 0.330 | 0.000 | 0.393 | 1.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 66 | 124 | 53 | 64 | 0 | 205 | 1483 |
N.S. | 1 | 1.00 | 0.82 | 1.55 | 0.66 | 0.80 | 0.00 | 2.56 | 18.54 |
time (sec) |
N/A | 0.035 | 0.039 | 0.080 | 0.527 | 0.333 | 0.000 | 0.388 | 1.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 49 | 69 | 42 | 53 | 0 | 168 | 1153 |
N.S. | 1 | 1.00 | 0.83 | 1.17 | 0.71 | 0.90 | 0.00 | 2.85 | 19.54 |
time (sec) |
N/A | 0.023 | 0.053 | 0.080 | 0.536 | 0.345 | 0.000 | 0.396 | 1.119 |
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 | 38 | 38 | 32 | 42 | 31 | 41 | 49 | 131 | 823 |
N.S. | 1 | 1.00 | 0.84 | 1.11 | 0.82 | 1.08 | 1.29 | 3.45 | 21.66 |
time (sec) |
N/A | 0.014 | 0.034 | 0.081 | 0.536 | 0.344 | 2.445 | 0.403 | 1.081 |
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 | 18 | 18 | 18 | 15 | 12 | 28 | 26 | 84 | 97 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.67 | 1.56 | 1.44 | 4.67 | 5.39 |
time (sec) |
N/A | 0.004 | 0.008 | 0.066 | 0.517 | 0.329 | 1.186 | 0.406 | 1.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 80 | 131 | 0 | 88 | 0 | 57 | 501 |
N.S. | 1 | 1.00 | 0.88 | 1.44 | 0.00 | 0.97 | 0.00 | 0.63 | 5.51 |
time (sec) |
N/A | 0.036 | 0.054 | 0.063 | 0.000 | 0.347 | 0.000 | 0.392 | 5.999 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 79 | 85 | 0 | 102 | 0 | 69 | 459 |
N.S. | 1 | 1.00 | 0.98 | 1.05 | 0.00 | 1.26 | 0.00 | 0.85 | 5.67 |
time (sec) |
N/A | 0.034 | 0.031 | 0.069 | 0.000 | 0.341 | 0.000 | 0.394 | 2.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 88 | 91 | 0 | 124 | 0 | 73 | 609 |
N.S. | 1 | 1.00 | 0.96 | 0.99 | 0.00 | 1.35 | 0.00 | 0.79 | 6.62 |
time (sec) |
N/A | 0.035 | 0.044 | 0.069 | 0.000 | 0.356 | 0.000 | 0.395 | 6.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 117 | 116 | 0 | 145 | 0 | 93 | 1019 |
N.S. | 1 | 1.00 | 0.80 | 0.79 | 0.00 | 0.99 | 0.00 | 0.64 | 6.98 |
time (sec) |
N/A | 0.068 | 0.062 | 0.071 | 0.000 | 0.378 | 0.000 | 0.412 | 5.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 83 | 154 | 64 | 86 | 0 | 344 | 2500 |
N.S. |
1 | 1.00 | 0.82 | 1.52 | 0.63 | 0.85 | 0.00 | 3.41 | 24.75 |
time (sec) |
N/A | 0.052 | 0.026 | 0.081 | 0.543 | 0.333 | 0.000 | 0.401 | 1.280 |
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 | 80 | 80 | 66 | 124 | 53 | 75 | 94 | 296 | 2235 |
N.S. | 1 | 1.00 | 0.82 | 1.55 | 0.66 | 0.94 | 1.18 | 3.70 | 27.94 |
time (sec) |
N/A | 0.053 | 0.027 | 0.081 | 0.544 | 0.324 | 113.235 | 0.394 | 1.152 |
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 | 59 | 59 | 49 | 69 | 42 | 64 | 71 | 248 | 1789 |
N.S. | 1 | 1.00 | 0.83 | 1.17 | 0.71 | 1.08 | 1.20 | 4.20 | 30.32 |
time (sec) |
N/A | 0.038 | 0.025 | 0.081 | 0.538 | 0.339 | 62.073 | 0.387 | 1.139 |
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 | 38 | 38 | 32 | 42 | 31 | 52 | 49 | 197 | 773 |
N.S. | 1 | 1.00 | 0.84 | 1.11 | 0.82 | 1.37 | 1.29 | 5.18 | 20.34 |
time (sec) |
N/A | 0.014 | 0.036 | 0.077 | 0.540 | 0.336 | 33.862 | 0.410 | 1.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 12 | 39 | 26 | 136 | 337 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.67 | 2.17 | 1.44 | 7.56 | 18.72 |
time (sec) |
N/A | 0.004 | 0.009 | 0.065 | 0.509 | 0.338 | 17.679 | 0.405 | 1.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 99 | 222 | 0 | 114 | 0 | 73 | 789 |
N.S. | 1 | 1.00 | 0.82 | 1.83 | 0.00 | 0.94 | 0.00 | 0.60 | 6.52 |
time (sec) |
N/A | 0.057 | 0.056 | 0.065 | 0.000 | 0.331 | 0.000 | 0.391 | 4.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 106 | 193 | 0 | 126 | 0 | 89 | 616 |
N.S. | 1 | 1.00 | 0.96 | 1.75 | 0.00 | 1.15 | 0.00 | 0.81 | 5.60 |
time (sec) |
N/A | 0.052 | 0.044 | 0.069 | 0.000 | 0.344 | 0.000 | 0.397 | 4.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 108 | 142 | 0 | 133 | 0 | 92 | 614 |
N.S. | 1 | 1.00 | 0.98 | 1.29 | 0.00 | 1.21 | 0.00 | 0.84 | 5.58 |
time (sec) |
N/A | 0.049 | 0.037 | 0.072 | 0.000 | 0.349 | 0.000 | 0.423 | 2.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 107 | 144 | 0 | 146 | 0 | 88 | 669 |
N.S. | 1 | 1.00 | 0.95 | 1.27 | 0.00 | 1.29 | 0.00 | 0.78 | 5.92 |
time (sec) |
N/A | 0.050 | 0.051 | 0.072 | 0.000 | 0.344 | 0.000 | 0.396 | 5.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 134 | 169 | 0 | 167 | 0 | 108 | 1069 |
N.S. | 1 | 1.00 | 0.80 | 1.01 | 0.00 | 1.00 | 0.00 | 0.65 | 6.40 |
time (sec) |
N/A | 0.087 | 0.080 | 0.072 | 0.000 | 0.360 | 0.000 | 0.406 | 5.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 150 | 262 | 0 | 189 | 0 | 123 | 1292 |
N.S. | 1 | 1.00 | 0.68 | 1.19 | 0.00 | 0.86 | 0.00 | 0.56 | 5.85 |
time (sec) |
N/A | 0.124 | 0.080 | 0.076 | 0.000 | 0.323 | 0.000 | 0.412 | 6.506 |
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 | 99 | 99 | 83 | 153 | 64 | 53 | 0 | 61 | 496 |
N.S. | 1 | 1.00 | 0.84 | 1.55 | 0.65 | 0.54 | 0.00 | 0.62 | 5.01 |
time (sec) |
N/A | 0.049 | 0.028 | 0.065 | 0.536 | 0.341 | 0.000 | 0.404 | 1.090 |
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 | 76 | 76 | 66 | 123 | 53 | 42 | 0 | 49 | 385 |
N.S. | 1 | 1.00 | 0.87 | 1.62 | 0.70 | 0.55 | 0.00 | 0.64 | 5.07 |
time (sec) |
N/A | 0.037 | 0.027 | 0.063 | 0.537 | 0.349 | 0.000 | 0.402 | 1.066 |
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 | 57 | 57 | 49 | 68 | 42 | 31 | 0 | 37 | 211 |
N.S. | 1 | 1.00 | 0.86 | 1.19 | 0.74 | 0.54 | 0.00 | 0.65 | 3.70 |
time (sec) |
N/A | 0.026 | 0.027 | 0.064 | 0.527 | 0.342 | 0.000 | 0.382 | 1.145 |
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 | 36 | 36 | 32 | 56 | 30 | 19 | 0 | 23 | 105 |
N.S. | 1 | 1.00 | 0.89 | 1.56 | 0.83 | 0.53 | 0.00 | 0.64 | 2.92 |
time (sec) |
N/A | 0.012 | 0.032 | 0.063 | 0.540 | 0.343 | 0.000 | 0.384 | 1.213 |
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 | 16 | 15 | 12 | 12 | 24 | 12 | 52 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.75 | 0.75 | 1.50 | 0.75 | 3.25 |
time (sec) |
N/A | 0.004 | 0.009 | 0.066 | 0.519 | 0.379 | 23.207 | 0.379 | 1.176 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 47 | 42 | 0 | 56 | 0 | 21 | 285 |
N.S. | 1 | 1.00 | 0.96 | 0.86 | 0.00 | 1.14 | 0.00 | 0.43 | 5.82 |
time (sec) |
N/A | 0.011 | 0.038 | 0.065 | 0.000 | 0.366 | 0.000 | 0.389 | 7.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 78 | 95 | 0 | 93 | 0 | 47 | 570 |
N.S. | 1 | 1.00 | 0.83 | 1.01 | 0.00 | 0.99 | 0.00 | 0.50 | 6.06 |
time (sec) |
N/A | 0.039 | 0.048 | 0.067 | 0.000 | 0.336 | 0.000 | 0.385 | 7.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 98 | 148 | 0 | 123 | 0 | 69 | 802 |
N.S. | 1 | 1.00 | 0.62 | 0.94 | 0.00 | 0.78 | 0.00 | 0.44 | 5.08 |
time (sec) |
N/A | 0.073 | 0.061 | 0.066 | 0.000 | 0.396 | 0.000 | 0.393 | 6.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 117 | 200 | 0 | 145 | 0 | 84 | 1086 |
N.S. | 1 | 1.00 | 0.55 | 0.94 | 0.00 | 0.68 | 0.00 | 0.40 | 5.12 |
time (sec) |
N/A | 0.106 | 0.075 | 0.069 | 0.000 | 0.347 | 0.000 | 0.420 | 5.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 83 | 319 | 64 | 63 | 0 | 77 | 1057 |
N.S. | 1 | 1.00 | 0.87 | 3.36 | 0.67 | 0.66 | 0.00 | 0.81 | 11.13 |
time (sec) |
N/A | 0.047 | 0.032 | 0.066 | 0.530 | 0.327 | 0.000 | 0.399 | 1.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 66 | 201 | 52 | 51 | 0 | 61 | 660 |
N.S. | 1 | 1.00 | 0.89 | 2.72 | 0.70 | 0.69 | 0.00 | 0.82 | 8.92 |
time (sec) |
N/A | 0.034 | 0.027 | 0.066 | 0.520 | 0.319 | 0.000 | 0.401 | 1.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 49 | 106 | 41 | 40 | 0 | 46 | 259 |
N.S. | 1 | 1.00 | 0.89 | 1.93 | 0.75 | 0.73 | 0.00 | 0.84 | 4.71 |
time (sec) |
N/A | 0.024 | 0.028 | 0.066 | 0.544 | 0.344 | 0.000 | 0.393 | 1.293 |
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 | 29 | 40 | 30 | 29 | 46 | 29 | 152 |
N.S. | 1 | 1.00 | 0.85 | 1.18 | 0.88 | 0.85 | 1.35 | 0.85 | 4.47 |
time (sec) |
N/A | 0.011 | 0.036 | 0.063 | 0.537 | 0.372 | 46.134 | 0.389 | 1.334 |
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 | 16 | 15 | 12 | 20 | 26 | 12 | 97 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.75 | 1.25 | 1.62 | 0.75 | 6.06 |
time (sec) |
N/A | 0.004 | 0.009 | 0.065 | 0.519 | 0.336 | 45.834 | 0.383 | 1.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 75 | 68 | 0 | 110 | 0 | 37 | 614 |
N.S. | 1 | 1.00 | 0.96 | 0.87 | 0.00 | 1.41 | 0.00 | 0.47 | 7.87 |
time (sec) |
N/A | 0.029 | 0.073 | 0.066 | 0.000 | 0.374 | 0.000 | 0.387 | 6.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 91 | 105 | 0 | 151 | 0 | 64 | 807 |
N.S. | 1 | 1.00 | 0.73 | 0.85 | 0.00 | 1.22 | 0.00 | 0.52 | 6.51 |
time (sec) |
N/A | 0.051 | 0.060 | 0.071 | 0.000 | 0.390 | 0.000 | 0.407 | 5.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 115 | 131 | 0 | 189 | 0 | 80 | 1028 |
N.S. | 1 | 1.00 | 0.60 | 0.69 | 0.00 | 0.99 | 0.00 | 0.42 | 5.38 |
time (sec) |
N/A | 0.087 | 0.083 | 0.075 | 0.000 | 0.353 | 0.000 | 0.403 | 6.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 133 | 186 | 0 | 211 | 0 | 95 | 1258 |
N.S. | 1 | 1.00 | 0.54 | 0.76 | 0.00 | 0.86 | 0.00 | 0.39 | 5.13 |
time (sec) |
N/A | 0.138 | 0.081 | 0.075 | 0.000 | 0.386 | 0.000 | 0.400 | 5.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 83 | 295 | 64 | 74 | 0 | 75 | 817 |
N.S. | 1 | 1.00 | 0.84 | 2.98 | 0.65 | 0.75 | 0.00 | 0.76 | 8.25 |
time (sec) |
N/A | 0.048 | 0.034 | 0.069 | 0.529 | 0.346 | 0.000 | 0.382 | 1.423 |
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 | 76 | 76 | 65 | 186 | 52 | 62 | 90 | 59 | 533 |
N.S. | 1 | 1.00 | 0.86 | 2.45 | 0.68 | 0.82 | 1.18 | 0.78 | 7.01 |
time (sec) |
N/A | 0.034 | 0.030 | 0.067 | 0.540 | 0.341 | 72.695 | 0.396 | 1.296 |
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 | 48 | 91 | 42 | 52 | 71 | 39 | 259 |
N.S. | 1 | 1.00 | 0.81 | 1.54 | 0.71 | 0.88 | 1.20 | 0.66 | 4.39 |
time (sec) |
N/A | 0.024 | 0.032 | 0.067 | 0.550 | 0.330 | 71.896 | 0.395 | 1.262 |
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 | 38 | 38 | 31 | 42 | 31 | 41 | 51 | 20 | 152 |
N.S. | 1 | 1.00 | 0.82 | 1.11 | 0.82 | 1.08 | 1.34 | 0.53 | 4.00 |
time (sec) |
N/A | 0.013 | 0.031 | 0.068 | 0.526 | 0.335 | 72.213 | 0.385 | 1.382 |
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 | 18 | 18 | 18 | 15 | 12 | 31 | 27 | 12 | 103 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.67 | 1.72 | 1.50 | 0.67 | 5.72 |
time (sec) |
N/A | 0.004 | 0.009 | 0.066 | 0.509 | 0.327 | 48.569 | 0.388 | 1.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 91 | 93 | 0 | 177 | 0 | 45 | 886 |
N.S. | 1 | 1.00 | 0.84 | 0.86 | 0.00 | 1.64 | 0.00 | 0.42 | 8.20 |
time (sec) |
N/A | 0.042 | 0.104 | 0.068 | 0.000 | 0.348 | 0.000 | 0.385 | 6.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 113 | 130 | 0 | 221 | 0 | 65 | 1230 |
N.S. | 1 | 1.00 | 0.73 | 0.84 | 0.00 | 1.43 | 0.00 | 0.42 | 7.94 |
time (sec) |
N/A | 0.074 | 0.091 | 0.073 | 0.000 | 0.358 | 0.000 | 0.390 | 7.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 133 | 157 | 0 | 255 | 0 | 93 | 1514 |
N.S. | 1 | 1.00 | 0.59 | 0.70 | 0.00 | 1.14 | 0.00 | 0.42 | 6.76 |
time (sec) |
N/A | 0.106 | 0.079 | 0.075 | 0.000 | 0.354 | 0.000 | 0.394 | 8.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 150 | 211 | 0 | 277 | 0 | 115 | 2359 |
N.S. | 1 | 1.00 | 0.54 | 0.76 | 0.00 | 1.00 | 0.00 | 0.41 | 8.49 |
time (sec) |
N/A | 0.151 | 0.251 | 0.079 | 0.000 | 0.365 | 0.000 | 0.396 | 6.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 23 | 20 | 19 | 18 | 0 | 13 | 57 |
N.S. |
1 | 1.00 | 0.85 | 0.74 | 0.70 | 0.67 | 0.00 | 0.48 | 2.11 |
time (sec) |
N/A | 0.006 | 0.027 | 0.109 | 0.265 | 0.327 | 0.000 | 0.394 | 1.242 |
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 | 23 | 20 | 19 | 18 | 26 | 13 | 57 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.70 | 0.67 | 0.96 | 0.48 | 2.11 |
time (sec) |
N/A | 0.006 | 0.020 | 0.104 | 0.260 | 0.325 | 18.981 | 0.373 | 1.087 |
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 | 23 | 20 | 19 | 18 | 26 | 13 | 57 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.70 | 0.67 | 0.96 | 0.48 | 2.11 |
time (sec) |
N/A | 0.006 | 0.020 | 0.103 | 0.266 | 0.321 | 1.666 | 0.384 | 1.100 |
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 | 27 | 27 | 23 | 20 | 19 | 16 | 0 | 13 | 57 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.70 | 0.59 | 0.00 | 0.48 | 2.11 |
time (sec) |
N/A | 0.006 | 0.019 | 0.102 | 0.267 | 0.323 | 0.000 | 0.399 | 1.092 |
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 | 25 | 25 | 23 | 20 | 19 | 12 | 0 | 13 | 56 |
N.S. | 1 | 1.00 | 0.92 | 0.80 | 0.76 | 0.48 | 0.00 | 0.52 | 2.24 |
time (sec) |
N/A | 0.006 | 0.014 | 0.101 | 0.261 | 0.367 | 0.000 | 0.388 | 1.127 |
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 | 20 | 20 | 19 | 12 | 22 | 13 | 56 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.52 | 0.96 | 0.57 | 2.43 |
time (sec) |
N/A | 0.007 | 0.015 | 0.099 | 0.270 | 0.354 | 0.388 | 0.377 | 1.116 |
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 | 27 | 27 | 21 | 20 | 19 | 11 | 27 | 11 | 52 |
N.S. | 1 | 1.00 | 0.78 | 0.74 | 0.70 | 0.41 | 1.00 | 0.41 | 1.93 |
time (sec) |
N/A | 0.007 | 0.015 | 0.100 | 0.260 | 0.331 | 2.589 | 0.381 | 1.241 |
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 | 23 | 20 | 19 | 13 | 27 | 13 | 57 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.70 | 0.48 | 1.00 | 0.48 | 2.11 |
time (sec) |
N/A | 0.006 | 0.016 | 0.107 | 0.266 | 0.330 | 19.822 | 0.390 | 1.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 40 | 38 | 36 | 29 | 0 | 24 | 122 |
N.S. |
1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.60 | 0.00 | 0.50 | 2.54 |
time (sec) |
N/A | 0.015 | 0.041 | 0.293 | 0.268 | 0.360 | 0.000 | 0.391 | 1.154 |
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 | 48 | 48 | 40 | 38 | 36 | 29 | 48 | 24 | 122 |
N.S. | 1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.60 | 1.00 | 0.50 | 2.54 |
time (sec) |
N/A | 0.015 | 0.034 | 0.289 | 0.273 | 0.332 | 33.816 | 0.399 | 1.131 |
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 | 48 | 48 | 40 | 38 | 36 | 29 | 0 | 24 | 122 |
N.S. | 1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.60 | 0.00 | 0.50 | 2.54 |
time (sec) |
N/A | 0.016 | 0.029 | 0.284 | 0.277 | 0.357 | 0.000 | 0.381 | 1.141 |
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 | 48 | 48 | 40 | 38 | 36 | 27 | 0 | 24 | 122 |
N.S. | 1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.56 | 0.00 | 0.50 | 2.54 |
time (sec) |
N/A | 0.015 | 0.043 | 0.283 | 0.277 | 0.334 | 0.000 | 0.385 | 1.119 |
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 | 46 | 46 | 40 | 47 | 36 | 24 | 0 | 24 | 122 |
N.S. | 1 | 1.00 | 0.87 | 1.02 | 0.78 | 0.52 | 0.00 | 0.52 | 2.65 |
time (sec) |
N/A | 0.014 | 0.023 | 0.273 | 0.271 | 0.350 | 0.000 | 0.393 | 1.154 |
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 | 44 | 44 | 40 | 37 | 36 | 23 | 0 | 24 | 122 |
N.S. | 1 | 1.00 | 0.91 | 0.84 | 0.82 | 0.52 | 0.00 | 0.55 | 2.77 |
time (sec) |
N/A | 0.015 | 0.036 | 0.290 | 0.275 | 0.333 | 0.000 | 0.384 | 1.162 |
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 | 48 | 48 | 40 | 38 | 36 | 24 | 48 | 23 | 122 |
N.S. | 1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.50 | 1.00 | 0.48 | 2.54 |
time (sec) |
N/A | 0.015 | 0.032 | 0.282 | 0.269 | 0.362 | 2.302 | 0.393 | 1.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 40 | 38 | 36 | 24 | 49 | 24 | 122 |
N.S. | 1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.50 | 1.02 | 0.50 | 2.54 |
time (sec) |
N/A | 0.016 | 0.032 | 0.287 | 0.277 | 0.350 | 20.262 | 0.379 | 1.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 57 | 56 | 55 | 40 | 0 | 35 | 182 |
N.S. |
1 | 1.00 | 0.83 | 0.81 | 0.80 | 0.58 | 0.00 | 0.51 | 2.64 |
time (sec) |
N/A | 0.025 | 0.021 | 1.199 | 0.282 | 0.341 | 0.000 | 0.390 | 1.165 |
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 | 69 | 69 | 57 | 56 | 55 | 40 | 70 | 35 | 182 |
N.S. | 1 | 1.00 | 0.83 | 0.81 | 0.80 | 0.58 | 1.01 | 0.51 | 2.64 |
time (sec) |
N/A | 0.026 | 0.036 | 1.224 | 0.282 | 0.373 | 61.609 | 0.396 | 1.177 |
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 | 57 | 56 | 55 | 40 | 0 | 35 | 182 |
N.S. | 1 | 1.00 | 0.83 | 0.81 | 0.80 | 0.58 | 0.00 | 0.51 | 2.64 |
time (sec) |
N/A | 0.026 | 0.022 | 1.211 | 0.289 | 0.340 | 0.000 | 0.399 | 1.170 |
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 | 57 | 56 | 55 | 38 | 0 | 35 | 182 |
N.S. | 1 | 1.00 | 0.83 | 0.81 | 0.80 | 0.55 | 0.00 | 0.51 | 2.64 |
time (sec) |
N/A | 0.025 | 0.020 | 1.192 | 0.277 | 0.372 | 0.000 | 0.377 | 1.157 |
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 | 65 | 65 | 57 | 69 | 55 | 35 | 0 | 35 | 182 |
N.S. | 1 | 1.00 | 0.88 | 1.06 | 0.85 | 0.54 | 0.00 | 0.54 | 2.80 |
time (sec) |
N/A | 0.024 | 0.021 | 1.317 | 0.283 | 0.345 | 0.000 | 0.396 | 1.186 |
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 | 63 | 63 | 57 | 64 | 55 | 34 | 0 | 35 | 182 |
N.S. | 1 | 1.00 | 0.90 | 1.02 | 0.87 | 0.54 | 0.00 | 0.56 | 2.89 |
time (sec) |
N/A | 0.025 | 0.059 | 1.331 | 0.277 | 0.369 | 0.000 | 0.377 | 1.214 |
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 | 65 | 65 | 55 | 55 | 55 | 34 | 66 | 34 | 182 |
N.S. | 1 | 1.00 | 0.85 | 0.85 | 0.85 | 0.52 | 1.02 | 0.52 | 2.80 |
time (sec) |
N/A | 0.025 | 0.061 | 1.222 | 0.283 | 0.343 | 2.052 | 0.407 | 1.216 |
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 | 69 | 69 | 57 | 56 | 55 | 35 | 70 | 34 | 182 |
N.S. | 1 | 1.00 | 0.83 | 0.81 | 0.80 | 0.51 | 1.01 | 0.49 | 2.64 |
time (sec) |
N/A | 0.026 | 0.041 | 1.228 | 0.277 | 0.342 | 20.155 | 0.392 | 1.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 129 | 481 | 65 | 153 | 0 | 70 | 475 |
N.S. |
1 | 1.00 | 0.90 | 3.36 | 0.45 | 1.07 | 0.00 | 0.49 | 3.32 |
time (sec) |
N/A | 0.095 | 0.091 | 0.125 | 0.467 | 0.363 | 0.000 | 0.395 | 1.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 108 | 330 | 54 | 132 | 0 | 59 | 415 |
N.S. | 1 | 1.00 | 0.93 | 2.84 | 0.47 | 1.14 | 0.00 | 0.51 | 3.58 |
time (sec) |
N/A | 0.125 | 0.080 | 0.086 | 0.475 | 0.368 | 0.000 | 0.387 | 1.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 86 | 207 | 42 | 103 | 0 | 45 | 354 |
N.S. | 1 | 1.00 | 0.97 | 2.33 | 0.47 | 1.16 | 0.00 | 0.51 | 3.98 |
time (sec) |
N/A | 0.094 | 0.058 | 0.083 | 0.497 | 0.353 | 0.000 | 0.393 | 1.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 62 | 112 | 31 | 85 | 0 | 31 | 296 |
N.S. | 1 | 1.00 | 0.97 | 1.75 | 0.48 | 1.33 | 0.00 | 0.48 | 4.62 |
time (sec) |
N/A | 0.059 | 0.035 | 0.087 | 0.490 | 0.343 | 0.000 | 0.393 | 2.228 |
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 | 53 | 53 | 51 | 41 | 18 | 68 | 0 | 18 | 347 |
N.S. | 1 | 1.00 | 0.96 | 0.77 | 0.34 | 1.28 | 0.00 | 0.34 | 6.55 |
time (sec) |
N/A | 0.036 | 0.027 | 0.081 | 0.460 | 0.380 | 0.000 | 0.392 | 4.005 |
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 | 76 | 76 | 73 | 76 | 31 | 93 | 0 | 31 | 464 |
N.S. | 1 | 1.00 | 0.96 | 1.00 | 0.41 | 1.22 | 0.00 | 0.41 | 6.11 |
time (sec) |
N/A | 0.044 | 0.043 | 0.084 | 0.467 | 0.354 | 0.000 | 0.402 | 1.968 |
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 | 101 | 101 | 89 | 98 | 41 | 118 | 0 | 41 | 642 |
N.S. | 1 | 1.00 | 0.88 | 0.97 | 0.41 | 1.17 | 0.00 | 0.41 | 6.36 |
time (sec) |
N/A | 0.114 | 0.123 | 0.085 | 0.468 | 0.380 | 0.000 | 0.393 | 1.832 |
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 | 128 | 128 | 107 | 120 | 52 | 144 | 0 | 52 | 822 |
N.S. | 1 | 1.00 | 0.84 | 0.94 | 0.41 | 1.12 | 0.00 | 0.41 | 6.42 |
time (sec) |
N/A | 0.063 | 0.102 | 0.090 | 0.473 | 0.362 | 0.000 | 0.389 | 1.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 144 | 452 | 75 | 188 | 0 | 76 | 523 |
N.S. |
1 | 1.00 | 1.07 | 3.35 | 0.56 | 1.39 | 0.00 | 0.56 | 3.87 |
time (sec) |
N/A | 0.074 | 0.127 | 0.953 | 0.471 | 0.335 | 0.000 | 0.373 | 1.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 119 | 294 | 64 | 161 | 0 | 65 | 463 |
N.S. | 1 | 1.00 | 1.10 | 2.72 | 0.59 | 1.49 | 0.00 | 0.60 | 4.29 |
time (sec) |
N/A | 0.052 | 0.100 | 0.514 | 0.483 | 0.380 | 0.000 | 0.384 | 1.532 |