Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 57 | 42 | 0 | 51 | 0 | 45 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.68 | 0.00 | 0.82 | 0.00 | 0.73 | -0.02 |
time (sec) |
N/A | 0.018 | 0.073 | 0.020 | 0.000 | 0.593 | 0.000 | 1.741 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 59 | 55 | 0 | 61 | 0 | 55 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.73 | 0.00 | 0.81 | 0.00 | 0.73 | -0.01 |
time (sec) |
N/A | 0.030 | 0.086 | 0.020 | 0.000 | 0.557 | 0.000 | 2.097 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 65 | 48 | 0 | 59 | 0 | 53 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.71 | 0.00 | 0.87 | 0.00 | 0.78 | -0.01 |
time (sec) |
N/A | 0.030 | 0.077 | 0.021 | 0.000 | 0.593 | 0.000 | 1.506 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 75 | 60 | 0 | 73 | 0 | 67 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.75 | 0.00 | 0.91 | 0.00 | 0.84 | -0.01 |
time (sec) |
N/A | 0.028 | 0.080 | 0.024 | 0.000 | 0.590 | 0.000 | 5.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 83 | 67 | 0 | 101 | 0 | 88 | -1 |
N.S. | 1 | 1.00 | 0.76 | 0.61 | 0.00 | 0.93 | 0.00 | 0.81 | -0.01 |
time (sec) |
N/A | 0.051 | 0.201 | 0.024 | 0.000 | 0.934 | 0.000 | 3.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 43 | 32 | 0 | 47 | 0 | 33 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.68 | 0.00 | 1.00 | 0.00 | 0.70 | -0.02 |
time (sec) |
N/A | 0.021 | 0.058 | 0.020 | 0.000 | 0.529 | 0.000 | 1.755 | 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 | 67 | 67 | 63 | 52 | 49 | 48 | 58 | 60 | 102 |
N.S. | 1 | 1.00 | 0.94 | 0.78 | 0.73 | 0.72 | 0.87 | 0.90 | 1.52 |
time (sec) |
N/A | 0.092 | 0.081 | 0.186 | 0.492 | 0.342 | 18.195 | 2.415 | 3.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 67 | 54 | 51 | 59 | 60 | 62 | 118 |
N.S. | 1 | 1.00 | 0.94 | 0.76 | 0.72 | 0.83 | 0.85 | 0.87 | 1.66 |
time (sec) |
N/A | 0.078 | 0.066 | 0.183 | 0.501 | 0.374 | 33.979 | 2.128 | 0.033 |
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 | 52 | 52 | 32 | 117 | 46 | 23 | 44 | 46 | 43 |
N.S. | 1 | 1.00 | 0.62 | 2.25 | 0.88 | 0.44 | 0.85 | 0.88 | 0.83 |
time (sec) |
N/A | 0.037 | 0.042 | 0.356 | 0.504 | 0.367 | 0.207 | 2.906 | 3.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 31 | 14 | 0 | 37 | 0 | 25 | -1 |
N.S. | 1 | 1.00 | 1.55 | 0.70 | 0.00 | 1.85 | 0.00 | 1.25 | -0.05 |
time (sec) |
N/A | 0.073 | 0.063 | 0.349 | 0.000 | 0.549 | 0.000 | 2.538 | 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 | 43 | 31 | 39 | 34 | 29 | 29 | 36 | 30 | 53 |
N.S. | 1 | 0.72 | 0.91 | 0.79 | 0.67 | 0.67 | 0.84 | 0.70 | 1.23 |
time (sec) |
N/A | 0.047 | 0.026 | 0.391 | 0.492 | 0.362 | 0.543 | 2.567 | 3.105 |
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 | 116 | 116 | 130 | 90 | 89 | 76 | 0 | 89 | 88 |
N.S. | 1 | 1.00 | 1.12 | 0.78 | 0.77 | 0.66 | 0.00 | 0.77 | 0.76 |
time (sec) |
N/A | 0.094 | 0.053 | 0.013 | 0.283 | 0.337 | 0.000 | 2.397 | 0.127 |
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 | 83 | 83 | 58 | 54 | 53 | 35 | 0 | 82 | -1 |
N.S. | 1 | 1.00 | 0.70 | 0.65 | 0.64 | 0.42 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.039 | 0.054 | 0.161 | 0.275 | 0.352 | 0.000 | 2.838 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 62 | 41 | 40 | 39 | 216 | 268 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.64 | 0.62 | 0.61 | 3.38 | 4.19 | -0.02 |
time (sec) |
N/A | 0.033 | 0.054 | 0.221 | 0.289 | 0.351 | 1.458 | 4.551 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 86 | 59 | 58 | 57 | 0 | 474 | -1 |
N.S. | 1 | 1.00 | 1.05 | 0.72 | 0.71 | 0.70 | 0.00 | 5.78 | -0.01 |
time (sec) |
N/A | 0.055 | 0.061 | 0.177 | 0.285 | 0.340 | 0.000 | 3.222 | 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 | 83 | 83 | 58 | 54 | 53 | 35 | 0 | 82 | -1 |
N.S. | 1 | 1.00 | 0.70 | 0.65 | 0.64 | 0.42 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.031 | 0.002 | 0.115 | 0.281 | 0.385 | 0.000 | 2.525 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 168 | 121 | 120 | 76 | 0 | 7916 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.64 | 0.63 | 0.40 | 0.00 | 41.66 | -0.01 |
time (sec) |
N/A | 0.253 | 0.158 | 0.355 | 0.269 | 0.384 | 0.000 | 35.370 | 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 | 233 | 233 | 186 | 154 | 153 | 85 | 0 | 271 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.66 | 0.66 | 0.36 | 0.00 | 1.16 | -0.00 |
time (sec) |
N/A | 0.259 | 0.162 | 0.420 | 0.280 | 0.365 | 0.000 | 6.106 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 94 | 107 | 106 | 62 | 0 | 859 | -1 |
N.S. | 1 | 1.00 | 0.59 | 0.67 | 0.66 | 0.39 | 0.00 | 5.37 | -0.01 |
time (sec) |
N/A | 0.200 | 0.112 | 0.284 | 0.273 | 0.397 | 0.000 | 5.690 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 31 | 16 | 0 | 35 | 0 | 25 | -1 |
N.S. | 1 | 1.00 | 1.55 | 0.80 | 0.00 | 1.75 | 0.00 | 1.25 | -0.05 |
time (sec) |
N/A | 0.053 | 0.004 | 0.374 | 0.000 | 0.570 | 0.000 | 1.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 52 | 59 | 38 | 0 | 85 | 0 | 49 | -1 |
N.S. | 1 | 1.18 | 1.34 | 0.86 | 0.00 | 1.93 | 0.00 | 1.11 | -0.02 |
time (sec) |
N/A | 0.023 | 0.074 | 0.022 | 0.000 | 0.878 | 0.000 | 3.252 | 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 | 54 | 54 | 51 | 50 | 58 | 45 | 99 | 61 | 50 |
N.S. | 1 | 1.00 | 0.94 | 0.93 | 1.07 | 0.83 | 1.83 | 1.13 | 0.93 |
time (sec) |
N/A | 0.255 | 0.049 | 0.364 | 0.282 | 0.336 | 16.593 | 2.439 | 3.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 64 | 50 | 0 | 84 | 0 | 44 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.71 | 0.00 | 1.20 | 0.00 | 0.63 | -0.01 |
time (sec) |
N/A | 0.025 | 0.084 | 0.021 | 0.000 | 0.827 | 0.000 | 2.070 | 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 | 19 | 19 | 19 | 16 | 15 | 15 | 17 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.89 | 0.79 | 0.79 |
time (sec) |
N/A | 0.015 | 0.014 | 0.408 | 0.286 | 0.338 | 0.062 | 2.195 | 3.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 67 | 50 | 49 | 49 | 71 | 50 | 47 |
N.S. | 1 | 1.00 | 0.87 | 0.65 | 0.64 | 0.64 | 0.92 | 0.65 | 0.61 |
time (sec) |
N/A | 0.049 | 0.034 | 0.398 | 0.304 | 0.366 | 0.391 | 2.177 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | F | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 224 | 76 | 289 | 0 | 302 | 56 | 171 | 255 |
N.S. | 1 | 2.80 | 0.95 | 3.61 | 0.00 | 3.78 | 0.70 | 2.14 | 3.19 |
time (sec) |
N/A | 0.208 | 0.111 | 0.644 | 0.000 | 0.363 | 5.724 | 2.179 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 81 | 130 | 0 | 87 | 0 | 81 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.46 | 0.00 | 0.98 | 0.00 | 0.91 | -0.01 |
time (sec) |
N/A | 0.185 | 0.102 | 0.415 | 0.000 | 2.044 | 0.000 | 2.586 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 55 | 68 | 0 | 62 | 0 | 65 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.11 | 0.00 | 1.02 | 0.00 | 1.07 | -0.02 |
time (sec) |
N/A | 0.358 | 0.120 | 0.388 | 0.000 | 1.560 | 0.000 | 2.066 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 16 | 28 | 27 | 18 | 26 | 14 | 14 |
N.S. | 1 | 1.00 | 2.00 | 3.50 | 3.38 | 2.25 | 3.25 | 1.75 | 1.75 |
time (sec) |
N/A | 0.002 | 0.021 | 0.377 | 0.276 | 0.334 | 0.461 | 1.571 | 0.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 14 | 32 | 27 | 27 | 0 | 22 | 12 |
N.S. | 1 | 1.00 | 1.75 | 4.00 | 3.38 | 3.38 | 0.00 | 2.75 | 1.50 |
time (sec) |
N/A | 0.007 | 0.005 | 0.064 | 0.276 | 0.347 | 0.000 | 2.341 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 48 | 39 | 49 | 28 | 63 | 22 | 26 |
N.S. | 1 | 1.00 | 2.18 | 1.77 | 2.23 | 1.27 | 2.86 | 1.00 | 1.18 |
time (sec) |
N/A | 0.003 | 0.043 | 0.382 | 0.277 | 0.343 | 0.834 | 1.493 | 3.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 48 | 45 | 51 | 42 | 0 | 35 | 35 |
N.S. | 1 | 1.00 | 2.18 | 2.05 | 2.32 | 1.91 | 0.00 | 1.59 | 1.59 |
time (sec) |
N/A | 0.004 | 0.001 | 0.059 | 0.266 | 0.326 | 0.000 | 2.187 | 3.124 |
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 | 36 | 36 | 66 | 43 | 20 | 39 | 0 | 42 | 138 |
N.S. | 1 | 1.00 | 1.83 | 1.19 | 0.56 | 1.08 | 0.00 | 1.17 | 3.83 |
time (sec) |
N/A | 0.004 | 0.114 | 0.401 | 0.504 | 0.364 | 0.000 | 1.854 | 5.090 |
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 | 36 | 36 | 66 | 59 | 41 | 36 | 0 | 51 | 41 |
N.S. | 1 | 1.00 | 1.83 | 1.64 | 1.14 | 1.00 | 0.00 | 1.42 | 1.14 |
time (sec) |
N/A | 0.010 | 0.007 | 0.122 | 0.496 | 0.335 | 0.000 | 2.496 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 74 | 76 | 55 | 46 | 83 | 47 | 473 |
N.S. | 1 | 1.00 | 1.07 | 1.10 | 0.80 | 0.67 | 1.20 | 0.68 | 6.86 |
time (sec) |
N/A | 0.009 | 0.105 | 0.411 | 0.299 | 0.345 | 5.163 | 1.819 | 12.863 |
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 | 69 | 69 | 74 | 79 | 138 | 64 | 0 | 62 | 119 |
N.S. | 1 | 1.00 | 1.07 | 1.14 | 2.00 | 0.93 | 0.00 | 0.90 | 1.72 |
time (sec) |
N/A | 0.018 | 0.002 | 0.096 | 0.270 | 0.346 | 0.000 | 2.881 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 37 | 33 | 13 | 13 | 0 | 20 | 13 |
N.S. | 1 | 1.00 | 2.47 | 2.20 | 0.87 | 0.87 | 0.00 | 1.33 | 0.87 |
time (sec) |
N/A | 0.008 | 0.012 | 0.113 | 0.480 | 0.351 | 0.000 | 3.938 | 0.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 51 | 30 | 15 | 15 | 0 | 16 | 15 |
N.S. | 1 | 1.00 | 2.83 | 1.67 | 0.83 | 0.83 | 0.00 | 0.89 | 0.83 |
time (sec) |
N/A | 0.014 | 0.036 | 0.365 | 0.502 | 0.354 | 0.000 | 4.089 | 3.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 63 | 85 | 24 | 24 | 0 | 41 | 36 |
N.S. | 1 | 1.00 | 2.62 | 3.54 | 1.00 | 1.00 | 0.00 | 1.71 | 1.50 |
time (sec) |
N/A | 0.040 | 0.067 | 0.365 | 0.496 | 0.348 | 0.000 | 5.860 | 0.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 77 | 80 | 59 | 105 | 0 | 74 | 31 |
N.S. | 1 | 1.00 | 1.88 | 1.95 | 1.44 | 2.56 | 0.00 | 1.80 | 0.76 |
time (sec) |
N/A | 0.041 | 0.074 | 0.398 | 0.478 | 0.336 | 0.000 | 4.224 | 0.204 |
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 | 32 | 32 | 49 | 46 | 37 | 28 | 0 | 36 | 37 |
N.S. | 1 | 1.00 | 1.53 | 1.44 | 1.16 | 0.88 | 0.00 | 1.12 | 1.16 |
time (sec) |
N/A | 0.008 | 0.014 | 0.107 | 0.494 | 0.371 | 0.000 | 4.595 | 3.127 |
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 | 66 | 39 | 43 | 32 | 0 | 29 | 43 |
N.S. | 1 | 1.00 | 1.74 | 1.03 | 1.13 | 0.84 | 0.00 | 0.76 | 1.13 |
time (sec) |
N/A | 0.010 | 0.069 | 0.109 | 0.489 | 0.348 | 0.000 | 4.972 | 0.030 |
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 | 42 | 42 | 67 | 61 | 49 | 38 | 0 | 36 | 49 |
N.S. | 1 | 1.00 | 1.60 | 1.45 | 1.17 | 0.90 | 0.00 | 0.86 | 1.17 |
time (sec) |
N/A | 0.011 | 0.091 | 0.064 | 0.502 | 0.332 | 0.000 | 6.286 | 3.171 |
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 | 67 | 60 | 70 | 58 | 0 | 40 | 51 |
N.S. | 1 | 1.00 | 1.63 | 1.46 | 1.71 | 1.41 | 0.00 | 0.98 | 1.24 |
time (sec) |
N/A | 0.013 | 0.081 | 0.069 | 0.266 | 0.337 | 0.000 | 6.905 | 0.050 |
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 | 76 | 76 | 114 | 152 | 118 | 180 | 0 | 119 | 90 |
N.S. | 1 | 1.00 | 1.50 | 2.00 | 1.55 | 2.37 | 0.00 | 1.57 | 1.18 |
time (sec) |
N/A | 0.028 | 0.236 | 0.049 | 0.493 | 0.333 | 0.000 | 5.282 | 0.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 72 | 76 | 80 | 54 | 0 | 74 | 57 |
N.S. | 1 | 1.00 | 1.47 | 1.55 | 1.63 | 1.10 | 0.00 | 1.51 | 1.16 |
time (sec) |
N/A | 0.009 | 0.095 | 0.121 | 0.495 | 0.341 | 0.000 | 5.096 | 3.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 88 | 106 | 53 | 46 | 0 | 114 | 74 |
N.S. | 1 | 1.00 | 1.91 | 2.30 | 1.15 | 1.00 | 0.00 | 2.48 | 1.61 |
time (sec) |
N/A | 0.015 | 0.171 | 0.133 | 0.471 | 0.340 | 0.000 | 5.304 | 3.239 |
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 | 20 | 20 | 19 | 36 | 27 | 17 | 0 | 17 | 17 |
N.S. | 1 | 1.00 | 0.95 | 1.80 | 1.35 | 0.85 | 0.00 | 0.85 | 0.85 |
time (sec) |
N/A | 0.036 | 0.037 | 0.436 | 0.277 | 0.322 | 0.000 | 6.115 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 19 | 37 | 16 | 17 | 0 | 17 | -1 |
N.S. | 1 | 1.00 | 1.06 | 2.06 | 0.89 | 0.94 | 0.00 | 0.94 | -0.06 |
time (sec) |
N/A | 0.021 | 0.029 | 0.411 | 0.285 | 0.350 | 0.000 | 4.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 66 | 81 | 103 | 83 | 0 | 129 | 62 |
N.S. | 1 | 1.00 | 1.22 | 1.50 | 1.91 | 1.54 | 0.00 | 2.39 | 1.15 |
time (sec) |
N/A | 0.039 | 0.158 | 0.440 | 0.513 | 0.387 | 0.000 | 3.744 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 19 | 32 | 0 | 17 | 0 | 23 | 15 |
N.S. | 1 | 1.00 | 1.73 | 2.91 | 0.00 | 1.55 | 0.00 | 2.09 | 1.36 |
time (sec) |
N/A | 0.002 | 0.024 | 0.392 | 0.000 | 0.359 | 0.000 | 4.818 | 3.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 41 | 40 | 0 | 34 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.41 | 1.38 | 0.00 | 1.17 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 1.572 | 0.483 | 0.000 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 111 | 359 | 0 | 372 | 0 | 287 | -1 |
N.S. | 1 | 1.00 | 0.62 | 1.99 | 0.00 | 2.07 | 0.00 | 1.59 | -0.01 |
time (sec) |
N/A | 0.141 | 0.276 | 0.583 | 0.000 | 0.387 | 0.000 | 6.022 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 94 | 1066 | 0 | 171 | 0 | 350 | -1 |
N.S. | 1 | 1.00 | 0.55 | 6.20 | 0.00 | 0.99 | 0.00 | 2.03 | -0.01 |
time (sec) |
N/A | 0.111 | 0.383 | 0.167 | 0.000 | 0.383 | 0.000 | 2.385 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 115 | 5984 | 0 | 223 | 0 | 452 | -1 |
N.S. |
1 | 1.00 | 0.37 | 19.49 | 0.00 | 0.73 | 0.00 | 1.47 | -0.00 |
time (sec) |
N/A | 0.189 | 0.456 | 0.184 | 0.000 | 0.352 | 0.000 | 2.944 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 78 | 71 | 0 | 77 | 0 | 81 | -1 |
N.S. | 1 | 1.00 | 1.20 | 1.09 | 0.00 | 1.18 | 0.00 | 1.25 | -0.02 |
time (sec) |
N/A | 0.020 | 0.195 | 0.097 | 0.000 | 0.332 | 0.000 | 1.707 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 69 | 118 | 0 | 97 | 0 | 143 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.42 | 0.00 | 1.17 | 0.00 | 1.72 | -0.01 |
time (sec) |
N/A | 0.023 | 0.312 | 0.081 | 0.000 | 0.334 | 0.000 | 1.905 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 83 | 146 | 0 | 129 | 0 | 184 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.45 | 0.00 | 1.28 | 0.00 | 1.82 | -0.01 |
time (sec) |
N/A | 0.025 | 0.343 | 0.069 | 0.000 | 0.369 | 0.000 | 1.997 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 81 | 370 | 0 | 187 | 0 | 197 | -1 |
N.S. | 1 | 1.00 | 0.75 | 3.43 | 0.00 | 1.73 | 0.00 | 1.82 | -0.01 |
time (sec) |
N/A | 0.081 | 0.230 | 0.540 | 0.000 | 0.399 | 0.000 | 2.168 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 84 | 2407 | 0 | 121 | 0 | 263 | -1 |
N.S. | 1 | 1.00 | 0.97 | 27.67 | 0.00 | 1.39 | 0.00 | 3.02 | -0.01 |
time (sec) |
N/A | 0.047 | 0.341 | 0.200 | 0.000 | 0.352 | 0.000 | 2.221 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 109 | 14530 | 0 | 171 | 0 | 367 | -1 |
N.S. |
1 | 1.00 | 0.73 | 97.52 | 0.00 | 1.15 | 0.00 | 2.46 | -0.01 |
time (sec) |
N/A | 0.067 | 0.398 | 0.356 | 0.000 | 0.347 | 0.000 | 2.019 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 59 | 42 | 191 | 59 | 58 | 182 | 58 | 38 |
N.S. | 1 | 1.40 | 1.00 | 4.55 | 1.40 | 1.38 | 4.33 | 1.38 | 0.90 |
time (sec) |
N/A | 0.144 | 0.056 | 0.727 | 0.306 | 0.342 | 0.247 | 1.431 | 0.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 59 | 30 | 191 | 59 | 58 | 182 | 58 | 51 |
N.S. | 1 | 1.40 | 0.71 | 4.55 | 1.40 | 1.38 | 4.33 | 1.38 | 1.21 |
time (sec) |
N/A | 0.157 | 0.027 | 0.518 | 0.313 | 0.336 | 1.002 | 2.622 | 3.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 278 | 1050 | 0 | 58 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.73 | 10.29 | 0.00 | 0.57 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 20.451 | 0.638 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 256 | 946 | 0 | 36 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.13 | 15.26 | 0.00 | 0.58 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.034 | 20.412 | 0.471 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 156 | 200 | 0 | 16 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.18 | 11.76 | 0.00 | 0.94 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.010 | 30.168 | 0.516 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 261 | 963 | 0 | 119 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.58 | 13.19 | 0.00 | 1.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 20.620 | 0.493 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 298 | 1039 | 0 | 195 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.73 | 9.53 | 0.00 | 1.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 20.748 | 0.499 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 278 | 1050 | 0 | 58 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.73 | 10.29 | 0.00 | 0.57 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 22.683 | 0.559 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 256 | 946 | 0 | 36 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.13 | 15.26 | 0.00 | 0.58 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.032 | 16.799 | 0.498 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 100 | 200 | 0 | 16 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.88 | 11.76 | 0.00 | 0.94 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.009 | 31.921 | 0.513 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 298 | 963 | 0 | 119 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.08 | 13.19 | 0.00 | 1.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 17.890 | 0.504 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 327 | 1039 | 0 | 195 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.00 | 9.53 | 0.00 | 1.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.048 | 20.388 | 0.508 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 730 | 730 | 10468 | 5229 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 14.34 | 7.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.649 | 16.139 | 0.346 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 622 | 622 | 5218 | 4890 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.39 | 7.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.486 | 16.093 | 0.075 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 822 | 1056 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.62 | 4.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.132 | 11.409 | 0.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 674 | 674 | 5276 | 5024 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.83 | 7.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.525 | 16.110 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 663 | 663 | 7543 | 7887 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.38 | 11.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.556 | 14.866 | 0.345 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 1065 | 1704 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.53 | 7.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.128 | 11.546 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 748 | 748 | 7629 | 8103 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.20 | 10.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.552 | 16.114 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 452 | 452 | 6287 | 2655 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 13.91 | 5.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.421 | 16.110 | 0.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 397 | 397 | 3470 | 2519 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.74 | 6.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.293 | 16.061 | 0.047 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 540 | 530 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.75 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 11.007 | 0.036 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 437 | 437 | 3526 | 2601 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.07 | 5.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.300 | 16.069 | 0.041 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 517 | 517 | 6386 | 2757 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 12.35 | 5.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.406 | 16.125 | 0.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 558 | 558 | 7235 | 2694 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 12.97 | 4.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.412 | 16.123 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 466 | 466 | 4389 | 2551 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.42 | 5.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.332 | 13.081 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 813 | 788 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.54 | 4.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 11.788 | 0.036 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 474 | 474 | 3593 | 2616 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.58 | 5.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.326 | 13.757 | 0.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 591 | 591 | 6452 | 2777 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.92 | 4.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.438 | 16.107 | 0.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 585 | 585 | 8500 | 2733 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 14.53 | 4.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.505 | 16.149 | 0.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 485 | 485 | 5647 | 2582 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.64 | 5.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.398 | 13.201 | 0.054 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 1145 | 1147 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.95 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.278 | 13.981 | 0.036 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 311 | 311 | 2941 | 2607 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.46 | 8.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.241 | 13.780 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 582 | 582 | 5812 | 2780 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.99 | 4.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.496 | 16.124 | 0.071 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 927 | 965 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.19 | 7.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.204 | 10.580 | 0.891 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 431 | 431 | 4865 | 4426 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.29 | 10.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.366 | 16.041 | 0.647 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 249 | 961 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.31 | 8.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.142 | 10.392 | 0.949 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 367 | 367 | 602 | 2564 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.64 | 6.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.259 | 12.946 | 0.668 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 1148 | 1180 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.11 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.217 | 10.668 | 0.917 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |