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 | B | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 73 | 147 | 72 | 72 | 66 | 0 | 69 |
N.S. | 1 | 1.00 | 0.85 | 1.71 | 0.84 | 0.84 | 0.77 | 0.00 | 0.80 |
time (sec) |
N/A | 0.036 | 0.032 | 0.356 | 0.270 | 0.370 | 3.188 | 0.000 | 0.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 65 | 120 | 64 | 64 | 58 | 0 | 61 |
N.S. | 1 | 1.00 | 0.86 | 1.58 | 0.84 | 0.84 | 0.76 | 0.00 | 0.80 |
time (sec) |
N/A | 0.031 | 0.025 | 0.358 | 0.262 | 0.351 | 1.732 | 0.000 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 57 | 93 | 56 | 56 | 49 | 0 | 53 |
N.S. | 1 | 1.00 | 0.86 | 1.41 | 0.85 | 0.85 | 0.74 | 0.00 | 0.80 |
time (sec) |
N/A | 0.028 | 0.021 | 0.375 | 0.282 | 0.367 | 0.892 | 0.000 | 0.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 48 | 66 | 48 | 48 | 41 | 0 | 46 |
N.S. | 1 | 1.00 | 0.86 | 1.18 | 0.86 | 0.86 | 0.73 | 0.00 | 0.82 |
time (sec) |
N/A | 0.020 | 0.021 | 0.351 | 0.257 | 0.360 | 0.484 | 0.000 | 0.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 26 | 34 | 29 | 29 | 22 | 0 | 32 |
N.S. | 1 | 1.00 | 0.90 | 1.17 | 1.00 | 1.00 | 0.76 | 0.00 | 1.10 |
time (sec) |
N/A | 0.006 | 0.011 | 0.288 | 0.258 | 0.352 | 0.251 | 0.000 | 0.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 6 | 5 | 0 | 3 | 0 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.20 | 1.00 | 0.00 | 0.60 | 0.00 | 1.00 |
time (sec) |
N/A | 0.006 | 0.002 | 0.087 | 0.276 | 0.000 | 0.401 | 0.000 | 0.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 42 | 28 | 34 | 24 | 0 | 34 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 0.78 | 0.94 | 0.67 | 0.00 | 0.94 |
time (sec) |
N/A | 0.015 | 0.010 | 0.386 | 0.267 | 0.349 | 0.365 | 0.000 | 0.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 50 | 61 | 40 | 47 | 42 | 0 | 51 |
N.S. | 1 | 1.00 | 0.86 | 1.05 | 0.69 | 0.81 | 0.72 | 0.00 | 0.88 |
time (sec) |
N/A | 0.023 | 0.017 | 0.441 | 0.265 | 0.360 | 0.672 | 0.000 | 0.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 52 | 76 | 49 | 56 | 51 | 0 | 57 |
N.S. | 1 | 1.00 | 0.76 | 1.12 | 0.72 | 0.82 | 0.75 | 0.00 | 0.84 |
time (sec) |
N/A | 0.026 | 0.023 | 0.453 | 0.269 | 0.385 | 1.229 | 0.000 | 0.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 60 | 95 | 58 | 65 | 60 | 0 | 60 |
N.S. | 1 | 1.00 | 0.77 | 1.22 | 0.74 | 0.83 | 0.77 | 0.00 | 0.77 |
time (sec) |
N/A | 0.028 | 0.026 | 0.442 | 0.258 | 0.366 | 2.285 | 0.000 | 0.443 |
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 | 88 | 88 | 86 | 78 | 77 | 77 | 0 | 0 | 71 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.88 | 0.88 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.039 | 0.009 | 0.129 | 0.255 | 0.358 | 0.000 | 0.000 | 0.819 |
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 | 78 | 78 | 78 | 69 | 69 | 69 | 0 | 0 | 63 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.88 | 0.88 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.034 | 0.008 | 0.129 | 0.260 | 0.350 | 0.000 | 0.000 | 0.949 |
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 | 68 | 68 | 69 | 62 | 61 | 61 | 0 | 0 | 55 |
N.S. | 1 | 1.00 | 1.01 | 0.91 | 0.90 | 0.90 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.024 | 0.007 | 0.139 | 0.260 | 0.385 | 0.000 | 0.000 | 0.904 |
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 | 39 | 41 | 39 | 39 | 0 | 0 | 37 |
N.S. | 1 | 1.00 | 1.15 | 1.21 | 1.15 | 1.15 | 0.00 | 0.00 | 1.09 |
time (sec) |
N/A | 0.007 | 0.009 | 0.089 | 0.271 | 0.333 | 0.000 | 0.000 | 0.844 |
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 | 5 | 5 | 5 | 6 | 5 | 0 | 3 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.20 | 1.00 | 0.00 | 0.60 | 0.00 | -0.20 |
time (sec) |
N/A | 0.006 | 0.002 | 0.128 | 0.252 | 0.000 | 0.194 | 0.000 | 0.000 |
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 | 46 | 46 | 44 | 57 | 33 | 39 | 0 | 0 | 36 |
N.S. | 1 | 1.00 | 0.96 | 1.24 | 0.72 | 0.85 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.021 | 0.025 | 0.118 | 0.262 | 0.395 | 0.000 | 0.000 | 0.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 25 | 90 | 47 | 54 | 0 | 0 | 46 |
N.S. | 1 | 1.00 | 0.36 | 1.29 | 0.67 | 0.77 | 0.00 | 0.00 | 0.66 |
time (sec) |
N/A | 0.030 | 0.008 | 0.208 | 0.254 | 0.364 | 0.000 | 0.000 | 1.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 25 | 106 | 56 | 63 | 0 | 0 | 62 |
N.S. | 1 | 1.00 | 0.31 | 1.32 | 0.70 | 0.79 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.031 | 0.009 | 0.189 | 0.264 | 0.361 | 0.000 | 0.000 | 1.502 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 65 | 68 | 62 | 62 | 56 | 0 | 61 |
N.S. | 1 | 1.00 | 0.88 | 0.92 | 0.84 | 0.84 | 0.76 | 0.00 | 0.82 |
time (sec) |
N/A | 0.042 | 0.018 | 0.056 | 0.261 | 0.366 | 4.648 | 0.000 | 0.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 56 | 60 | 54 | 54 | 48 | 0 | 53 |
N.S. | 1 | 1.00 | 0.88 | 0.94 | 0.84 | 0.84 | 0.75 | 0.00 | 0.83 |
time (sec) |
N/A | 0.034 | 0.015 | 0.046 | 0.262 | 0.349 | 1.788 | 0.000 | 0.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 43 | 45 | 40 | 40 | 39 | 0 | 45 |
N.S. | 1 | 1.00 | 0.93 | 0.98 | 0.87 | 0.87 | 0.85 | 0.00 | 0.98 |
time (sec) |
N/A | 0.018 | 0.008 | 0.294 | 0.250 | 0.349 | 0.675 | 0.000 | 0.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 0 | 0 | 0 | 0 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.006 | 0.002 | 0.815 | 0.000 | 0.000 | 0.000 | 0.000 | 0.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 43 | 34 | 44 | 37 | 0 | 44 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.69 | 0.90 | 0.76 | 0.00 | 0.90 |
time (sec) |
N/A | 0.027 | 0.012 | 0.077 | 0.265 | 0.359 | 0.805 | 0.000 | 0.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 51 | 52 | 46 | 55 | 49 | 0 | 53 |
N.S. | 1 | 1.00 | 0.80 | 0.81 | 0.72 | 0.86 | 0.77 | 0.00 | 0.83 |
time (sec) |
N/A | 0.035 | 0.023 | 0.104 | 0.266 | 0.374 | 2.154 | 0.000 | 0.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 60 | 62 | 55 | 64 | 58 | 0 | 61 |
N.S. | 1 | 1.00 | 0.81 | 0.84 | 0.74 | 0.86 | 0.78 | 0.00 | 0.82 |
time (sec) |
N/A | 0.037 | 0.027 | 0.115 | 0.255 | 0.419 | 5.199 | 0.000 | 0.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 65 | 63 | 80 | 159 | 94 | 0 | 60 |
N.S. | 1 | 1.00 | 0.89 | 0.86 | 1.10 | 2.18 | 1.29 | 0.00 | 0.82 |
time (sec) |
N/A | 0.033 | 0.050 | 0.078 | 0.467 | 0.592 | 48.478 | 0.000 | 0.413 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 57 | 55 | 68 | 143 | 83 | 0 | 52 |
N.S. | 1 | 1.00 | 0.90 | 0.87 | 1.08 | 2.27 | 1.32 | 0.00 | 0.83 |
time (sec) |
N/A | 0.026 | 0.040 | 0.070 | 0.466 | 0.535 | 13.127 | 0.000 | 0.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 39 | 43 | 49 | 107 | 60 | 0 | 39 |
N.S. | 1 | 1.00 | 0.98 | 1.08 | 1.22 | 2.68 | 1.50 | 0.00 | 0.98 |
time (sec) |
N/A | 0.013 | 0.021 | 0.068 | 0.464 | 0.478 | 3.711 | 0.000 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 41 | 39 | 49 | 94 | 184 | 0 | 38 |
N.S. | 1 | 1.00 | 0.98 | 0.93 | 1.17 | 2.24 | 4.38 | 0.00 | 0.90 |
time (sec) |
N/A | 0.019 | 0.014 | 0.069 | 0.457 | 0.605 | 12.264 | 0.000 | 0.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 47 | 47 | 57 | 114 | 275 | 0 | 47 |
N.S. | 1 | 1.00 | 0.84 | 0.84 | 1.02 | 2.04 | 4.91 | 0.00 | 0.84 |
time (sec) |
N/A | 0.022 | 0.012 | 0.072 | 0.469 | 0.542 | 43.375 | 0.000 | 0.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 47 | 53 | 65 | 132 | 299 | 0 | 58 |
N.S. | 1 | 1.00 | 0.71 | 0.80 | 0.98 | 2.00 | 4.53 | 0.00 | 0.88 |
time (sec) |
N/A | 0.025 | 0.013 | 0.076 | 0.460 | 0.516 | 140.026 | 0.000 | 0.336 |
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 | 88 | 88 | 88 | 80 | 77 | 77 | 0 | 0 | 73 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.88 | 0.88 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.051 | 0.015 | 0.040 | 0.269 | 0.431 | 0.000 | 0.000 | 0.338 |
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 | 78 | 78 | 79 | 72 | 69 | 69 | 0 | 0 | 65 |
N.S. | 1 | 1.00 | 1.01 | 0.92 | 0.88 | 0.88 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.045 | 0.013 | 0.043 | 0.254 | 0.452 | 0.000 | 0.000 | 0.305 |
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 | 60 | 60 | 52 | 56 | 53 | 53 | 0 | 0 | 57 |
N.S. | 1 | 1.00 | 0.87 | 0.93 | 0.88 | 0.88 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.020 | 0.010 | 0.060 | 0.267 | 0.463 | 0.000 | 0.000 | 0.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 0 | 0 | 0 | 0 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.006 | 0.003 | 0.037 | 0.000 | 0.000 | 0.000 | 0.000 | 0.202 |
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 | 63 | 63 | 60 | 68 | 41 | 51 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 0.95 | 1.08 | 0.65 | 0.81 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.033 | 0.021 | 0.068 | 0.264 | 0.374 | 0.000 | 0.000 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 30 | 98 | 55 | 64 | 0 | 0 | 65 |
N.S. | 1 | 1.00 | 0.38 | 1.26 | 0.71 | 0.82 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.042 | 0.010 | 0.102 | 0.253 | 0.359 | 0.000 | 0.000 | 0.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 30 | 115 | 64 | 73 | 0 | 0 | 73 |
N.S. | 1 | 1.00 | 0.34 | 1.31 | 0.73 | 0.83 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.046 | 0.012 | 0.102 | 0.268 | 0.459 | 0.000 | 0.000 | 1.025 |
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 | 87 | 87 | 77 | 144 | 95 | 189 | 0 | 0 | 72 |
N.S. | 1 | 1.00 | 0.89 | 1.66 | 1.09 | 2.17 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.036 | 0.112 | 0.114 | 0.477 | 0.687 | 0.000 | 0.000 | 0.552 |
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 | 77 | 77 | 69 | 136 | 81 | 173 | 0 | 0 | 64 |
N.S. | 1 | 1.00 | 0.90 | 1.77 | 1.05 | 2.25 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.033 | 0.103 | 0.130 | 0.459 | 0.450 | 0.000 | 0.000 | 0.487 |
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 | 50 | 50 | 50 | 119 | 59 | 133 | 0 | 0 | 49 |
N.S. | 1 | 1.00 | 1.00 | 2.38 | 1.18 | 2.66 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.016 | 0.064 | 0.115 | 0.480 | 0.466 | 0.000 | 0.000 | 0.364 |
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 | 54 | 54 | 50 | 112 | 58 | 112 | 0 | 0 | 53 |
N.S. | 1 | 1.00 | 0.93 | 2.07 | 1.07 | 2.07 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.026 | 0.059 | 0.116 | 0.467 | 0.516 | 0.000 | 0.000 | 0.554 |
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 | 70 | 70 | 61 | 125 | 66 | 132 | 0 | 0 | 59 |
N.S. | 1 | 1.00 | 0.87 | 1.79 | 0.94 | 1.89 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.028 | 0.063 | 0.118 | 0.467 | 0.365 | 0.000 | 0.000 | 0.771 |
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 | 80 | 80 | 69 | 138 | 74 | 150 | 0 | 0 | 70 |
N.S. | 1 | 1.00 | 0.86 | 1.72 | 0.92 | 1.88 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.032 | 0.071 | 0.128 | 0.473 | 0.446 | 0.000 | 0.000 | 1.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 69 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.032 | 0.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 69 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.027 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 51 | 88 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.017 | 0.034 | 0.108 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 0 | 11 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 0.00 | 1.00 | 0.00 | 0.00 | -0.09 |
time (sec) |
N/A | 0.007 | 0.003 | 0.234 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 60 | 106 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.028 | 0.039 | 0.122 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 61 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.040 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 61 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.041 | 0.116 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 41 | 132 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.47 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.009 | 0.200 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 41 | 132 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.47 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.007 | 0.199 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 39 | 105 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.57 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.006 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 0 | 11 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 0.00 | 1.00 | 0.00 | 0.00 | -0.09 |
time (sec) |
N/A | 0.007 | 0.003 | 0.231 | 0.000 | 0.374 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 37 | 129 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.44 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 0.008 | 0.207 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 41 | 132 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.008 | 0.206 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 41 | 132 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.44 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.009 | 0.210 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 90 | 101 | 128 | 190 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.86 | 1.09 | 1.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.072 | 0.391 | 0.554 | 0.389 | 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 | 102 | 102 | 75 | 88 | 109 | 143 | 110 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 0.86 | 1.07 | 1.40 | 1.08 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.056 | 0.368 | 0.467 | 0.395 | 30.884 | 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 | 80 | 80 | 63 | 74 | 83 | 135 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.92 | 1.04 | 1.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.058 | 0.421 | 0.465 | 0.410 | 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 | 68 | 68 | 51 | 59 | 71 | 132 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.87 | 1.04 | 1.94 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.052 | 0.377 | 0.466 | 0.365 | 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 | 89 | 89 | 57 | 75 | 89 | 150 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.64 | 0.84 | 1.00 | 1.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.055 | 0.353 | 0.466 | 0.399 | 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 | 106 | 106 | 65 | 88 | 108 | 170 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 0.83 | 1.02 | 1.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.064 | 0.374 | 0.480 | 0.390 | 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 | 153 | 153 | 98 | 149 | 156 | 279 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.64 | 0.97 | 1.02 | 1.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.067 | 0.178 | 0.143 | 0.481 | 0.392 | 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 | 136 | 136 | 88 | 141 | 143 | 229 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.65 | 1.04 | 1.05 | 1.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.057 | 0.150 | 0.070 | 0.484 | 0.392 | 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 | 121 | 121 | 73 | 133 | 122 | 173 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.60 | 1.10 | 1.01 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 0.146 | 0.066 | 0.493 | 0.381 | 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 | 97 | 97 | 57 | 127 | 94 | 161 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.59 | 1.31 | 0.97 | 1.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.041 | 0.104 | 0.081 | 0.486 | 0.381 | 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 | 85 | 85 | 58 | 111 | 78 | 156 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.68 | 1.31 | 0.92 | 1.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.078 | 0.066 | 0.470 | 0.392 | 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 | 108 | 108 | 64 | 122 | 97 | 175 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.59 | 1.13 | 0.90 | 1.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.070 | 0.069 | 0.468 | 0.401 | 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 | 125 | 125 | 72 | 135 | 118 | 195 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 1.08 | 0.94 | 1.56 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.098 | 0.086 | 0.483 | 0.426 | 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 | 140 | 140 | 101 | 145 | 160 | 194 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 1.04 | 1.14 | 1.39 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.073 | 0.424 | 0.472 | 0.425 | 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 | 125 | 125 | 91 | 134 | 139 | 172 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 1.07 | 1.11 | 1.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.049 | 0.391 | 0.472 | 0.389 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 57 | 128 | 128 | 156 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.50 | 1.11 | 1.11 | 1.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.055 | 0.411 | 0.482 | 0.396 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 62 | 114 | 123 | 170 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.60 | 1.11 | 1.19 | 1.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.051 | 0.413 | 0.468 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 62 | 116 | 125 | 196 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 1.05 | 1.13 | 1.77 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.049 | 0.389 | 0.469 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 70 | 131 | 151 | 212 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 1.04 | 1.20 | 1.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.055 | 0.412 | 0.480 | 0.437 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 89 | 155 | 178 | 237 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.55 | 0.96 | 1.11 | 1.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.075 | 0.158 | 0.475 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 89 | 155 | 175 | 213 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.55 | 0.96 | 1.09 | 1.32 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 0.074 | 0.141 | 0.474 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 68 | 147 | 153 | 187 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.47 | 1.01 | 1.05 | 1.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.069 | 0.142 | 0.469 | 0.392 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 68 | 147 | 141 | 169 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.51 | 1.10 | 1.05 | 1.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.066 | 0.160 | 0.476 | 0.384 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 71 | 131 | 132 | 184 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 1.07 | 1.08 | 1.51 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.063 | 0.141 | 0.473 | 0.437 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 71 | 131 | 134 | 211 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.99 | 1.02 | 1.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.076 | 0.144 | 0.475 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 79 | 142 | 163 | 226 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.97 | 1.11 | 1.54 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 0.068 | 0.151 | 0.474 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 84 | 142 | 168 | 223 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 0.97 | 1.14 | 1.52 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.074 | 0.157 | 0.482 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 82 | 121 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.088 | 0.492 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 82 | 121 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.078 | 0.522 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 48 | 109 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.016 | 0.517 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 48 | 121 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.49 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 0.020 | 0.520 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 48 | 121 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.46 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.020 | 0.510 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 50 | 145 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.40 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.023 | 0.250 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 50 | 145 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.40 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.020 | 0.254 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 50 | 133 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.015 | 0.257 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 50 | 145 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.42 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 0.019 | 0.244 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 50 | 145 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.020 | 0.242 | 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 | 30 | 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 | -0.03 |
time (sec) |
N/A | 0.005 | 0.006 | 0.014 | 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 | 22 | 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 | -0.05 |
time (sec) |
N/A | 0.004 | 0.006 | 0.014 | 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 | 10 | 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 | -0.10 |
time (sec) |
N/A | 0.002 | 0.005 | 0.012 | 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 | 22 | 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 | -0.05 |
time (sec) |
N/A | 0.004 | 0.006 | 0.015 | 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 | 30 | 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 | -0.03 |
time (sec) |
N/A | 0.005 | 0.006 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |