Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.509 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 78 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 79 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 0.103 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 78 | 94 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.473 | 0.075 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 80 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.469 | 0.071 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 110 | 64 | 62 | 63 | 62 | 88 | 0 | 108 |
N.S. |
1 | 1.18 | 0.69 | 0.67 | 0.68 | 0.67 | 0.95 | 0.00 | 1.16 |
time (sec) |
N/A | 0.374 | 0.020 | 0.271 | 0.195 | 0.248 | 0.402 | 0.000 | 0.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 83 | 51 | 54 | 55 | 53 | 65 | 0 | 89 |
N.S. |
1 | 1.20 | 0.74 | 0.78 | 0.80 | 0.77 | 0.94 | 0.00 | 1.29 |
time (sec) |
N/A | 0.317 | 0.021 | 0.163 | 0.203 | 0.245 | 0.234 | 0.000 | 0.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 54 | 39 | 44 | 44 | 41 | 39 | 0 | 43 |
N.S. |
1 | 1.20 | 0.87 | 0.98 | 0.98 | 0.91 | 0.87 | 0.00 | 0.96 |
time (sec) |
N/A | 0.239 | 0.021 | 0.135 | 0.192 | 0.245 | 0.157 | 0.000 | 5.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 22 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.71 | 0.00 | 0.00 | 0.77 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.003 | 0.087 | 0.000 | 0.000 | 0.317 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 45 | 37 | 43 | 39 | 40 | 34 | 0 | 69 |
N.S. |
1 | 1.12 | 0.92 | 1.08 | 0.98 | 1.00 | 0.85 | 0.00 | 1.72 |
time (sec) |
N/A | 0.240 | 0.019 | 0.189 | 0.246 | 0.255 | 0.200 | 0.000 | 4.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 72 | 51 | 62 | 39 | 52 | 60 | 0 | 89 |
N.S. |
1 | 1.04 | 0.74 | 0.90 | 0.57 | 0.75 | 0.87 | 0.00 | 1.29 |
time (sec) |
N/A | 0.288 | 0.019 | 0.273 | 0.231 | 0.274 | 0.279 | 0.000 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 96 | 64 | 72 | 39 | 61 | 87 | 0 | 108 |
N.S. |
1 | 1.03 | 0.69 | 0.77 | 0.42 | 0.66 | 0.94 | 0.00 | 1.16 |
time (sec) |
N/A | 0.344 | 0.018 | 0.539 | 0.249 | 0.255 | 0.486 | 0.000 | 4.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 108 | 57 | 62 | 51 | 59 | 99 | 0 | 51 |
N.S. |
1 | 1.03 | 0.54 | 0.59 | 0.49 | 0.56 | 0.94 | 0.00 | 0.49 |
time (sec) |
N/A | 0.383 | 0.028 | 0.478 | 0.201 | 0.250 | 0.540 | 0.000 | 0.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 83 | 49 | 54 | 43 | 51 | 75 | 0 | 43 |
N.S. |
1 | 1.02 | 0.60 | 0.67 | 0.53 | 0.63 | 0.93 | 0.00 | 0.53 |
time (sec) |
N/A | 0.325 | 0.021 | 0.214 | 0.205 | 0.271 | 0.302 | 0.000 | 4.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 58 | 41 | 46 | 35 | 43 | 49 | 0 | 35 |
N.S. |
1 | 1.02 | 0.72 | 0.81 | 0.61 | 0.75 | 0.86 | 0.00 | 0.61 |
time (sec) |
N/A | 0.269 | 0.019 | 0.478 | 0.206 | 0.238 | 0.187 | 0.000 | 0.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 24 | 25 | 29 | 22 | 0 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.96 | 1.12 | 0.85 | 0.00 | 0.88 |
time (sec) |
N/A | 0.173 | 0.006 | 0.314 | 0.198 | 0.241 | 0.065 | 0.000 | 0.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 27 | 23 | 29 | 32 | 0 | 23 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.92 | 1.16 | 1.28 | 0.00 | 0.92 |
time (sec) |
N/A | 0.226 | 0.010 | 0.688 | 0.245 | 0.243 | 0.563 | 0.000 | 4.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 50 | 46 | 28 | 48 | 63 | 0 | 43 |
N.S. |
1 | 1.00 | 0.93 | 0.85 | 0.52 | 0.89 | 1.17 | 0.00 | 0.80 |
time (sec) |
N/A | 0.270 | 0.017 | 0.465 | 0.250 | 0.252 | 1.031 | 0.000 | 4.913 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 61 | 65 | 28 | 58 | 85 | 0 | 62 |
N.S. |
1 | 1.00 | 0.78 | 0.83 | 0.36 | 0.74 | 1.09 | 0.00 | 0.79 |
time (sec) |
N/A | 0.314 | 0.020 | 0.756 | 0.240 | 0.256 | 1.806 | 0.000 | 4.939 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 237 | 457 | 0 | 263 | 746 | 0 | 357 |
N.S. |
1 | 1.00 | 0.85 | 1.64 | 0.00 | 0.94 | 2.67 | 0.00 | 1.28 |
time (sec) |
N/A | 0.540 | 0.174 | 1.348 | 0.000 | 0.266 | 1.693 | 0.000 | 5.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 196 | 142 | 258 | 0 | 161 | 398 | 0 | 190 |
N.S. |
1 | 1.05 | 0.76 | 1.39 | 0.00 | 0.87 | 2.14 | 0.00 | 1.02 |
time (sec) |
N/A | 0.425 | 0.121 | 1.059 | 0.000 | 0.255 | 0.810 | 0.000 | 5.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 128 | 78 | 117 | 0 | 89 | 178 | 0 | 106 |
N.S. |
1 | 1.11 | 0.68 | 1.02 | 0.00 | 0.77 | 1.55 | 0.00 | 0.92 |
time (sec) |
N/A | 0.339 | 0.054 | 0.553 | 0.000 | 0.254 | 0.423 | 0.000 | 0.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 33 | 31 | 30 | 45 | 51 | 0 | 46 |
N.S. |
1 | 1.00 | 0.94 | 0.89 | 0.86 | 1.29 | 1.46 | 0.00 | 1.31 |
time (sec) |
N/A | 0.180 | 0.013 | 0.358 | 0.198 | 0.242 | 0.134 | 0.000 | 0.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 16 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.14 | 0.86 | 1.14 | 1.14 |
time (sec) |
N/A | 0.186 | 0.358 | 0.188 | 0.294 | 0.247 | 0.744 | 0.259 | 5.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 27 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.93 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.242 | 0.538 | 0.195 | 0.269 | 0.235 | 9.394 | 0.265 | 5.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 38 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 2.71 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.369 | 0.579 | 0.204 | 0.266 | 0.268 | 69.598 | 0.257 | 7.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 270 | 99 | 154 | 0 | 97 | 168 | 0 | 139 |
N.S. |
1 | 1.54 | 0.57 | 0.88 | 0.00 | 0.55 | 0.96 | 0.00 | 0.79 |
time (sec) |
N/A | 1.236 | 0.031 | 0.362 | 0.000 | 0.250 | 0.533 | 0.000 | 5.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 163 | 82 | 112 | 0 | 79 | 116 | 0 | 100 |
N.S. |
1 | 1.31 | 0.66 | 0.90 | 0.00 | 0.64 | 0.94 | 0.00 | 0.81 |
time (sec) |
N/A | 0.752 | 0.021 | 0.161 | 0.000 | 0.256 | 0.313 | 0.000 | 4.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 84 | 63 | 69 | 0 | 58 | 63 | 0 | 66 |
N.S. |
1 | 1.18 | 0.89 | 0.97 | 0.00 | 0.82 | 0.89 | 0.00 | 0.93 |
time (sec) |
N/A | 0.416 | 0.014 | 0.117 | 0.000 | 0.260 | 0.183 | 0.000 | 4.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 8 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 0.80 | 1.20 | 1.20 |
time (sec) |
N/A | 0.182 | 0.023 | 0.023 | 0.218 | 0.248 | 1.070 | 0.266 | 4.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 73 | 60 | 0 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.92 | 0.00 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.018 | 0.000 | 0.000 | 0.244 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 123 | 141 | 97 | 0 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.79 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.712 | 0.021 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 235 | 114 | 0 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 0.66 | 0.00 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.214 | 0.031 | 0.000 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 162 | 260 | 105 | 0 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.60 | 0.65 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.012 | 0.034 | 0.000 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 111 | 149 | 87 | 0 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 0.78 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 0.024 | 0.000 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 59 | 54 | 0 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.00 | 0.00 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.010 | 0.000 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.179 | 0.027 | 0.017 | 0.228 | 0.236 | 1.051 | 0.263 | 4.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.178 | 0.028 | 0.018 | 0.222 | 0.244 | 1.139 | 0.245 | 4.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.179 | 0.032 | 0.020 | 0.225 | 0.262 | 1.388 | 0.258 | 4.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 366 | 334 | 0 | 0 | 0 | 282 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.00 | 0.00 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.514 | 0.000 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 184 | 167 | 128 | 0 | 0 | 172 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.70 | 0.00 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.159 | 0.000 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 68 | 69 | 64 | 0 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.94 | 0.00 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 0.038 | 0.000 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.201 | 0.039 | 0.191 | 0.214 | 0.251 | 2.309 | 0.251 | 4.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.195 | 0.073 | 0.204 | 0.239 | 0.251 | 11.244 | 0.265 | 5.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 90 | 0 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.478 | 0.211 | 0.000 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 110 | 81 | 0 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.87 | 0.00 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.453 | 0.197 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 78 | 0 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 0.167 | 0.000 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 63 | 83 | 61 | 58 | 117 | 0 | 0 | 112 |
N.S. |
1 | 0.98 | 1.30 | 0.95 | 0.91 | 1.83 | 0.00 | 0.00 | 1.75 |
time (sec) |
N/A | 0.277 | 0.060 | 1.177 | 0.196 | 0.261 | 0.000 | 0.000 | 5.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 82 | 0 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.177 | 0.000 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 95 | 112 | 80 | 0 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.84 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.188 | 0.000 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 142 | 126 | 0 | 0 | 181 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.00 | 0.00 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.550 | 0.312 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 0 | 0 | 16 | 19 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.76 | 0.90 | 0.00 | 0.76 |
time (sec) |
N/A | 0.203 | 0.009 | 0.000 | 0.000 | 0.252 | 0.363 | 0.000 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 0 | 0 | 16 | 19 | 0 | 91 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.76 | 0.90 | 0.00 | 4.33 |
time (sec) |
N/A | 0.192 | 0.006 | 0.000 | 0.000 | 0.250 | 0.143 | 0.000 | 5.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 0 | 0 | 15 | 24 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.75 | 1.20 | 0.00 | 0.75 |
time (sec) |
N/A | 0.202 | 0.011 | 0.000 | 0.000 | 0.248 | 0.182 | 0.000 | 4.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 0 | 0 | 16 | 24 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.76 | 1.14 | 0.00 | 0.76 |
time (sec) |
N/A | 0.199 | 0.006 | 0.000 | 0.000 | 0.240 | 0.391 | 0.000 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 0 | 0 | 16 | 26 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.76 | 1.24 | 0.00 | 0.76 |
time (sec) |
N/A | 0.205 | 0.006 | 0.000 | 0.000 | 0.249 | 0.675 | 0.000 | 4.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 0 | 0 | 24 | 63 | 0 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.86 | 2.25 | 0.00 | 0.82 |
time (sec) |
N/A | 0.207 | 0.009 | 0.000 | 0.000 | 0.255 | 1.476 | 0.000 | 4.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 257 | 290 | 131 | 0 | 0 | 255 | 0 | 0 | 232 |
N.S. |
1 | 1.13 | 0.51 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 1.265 | 0.197 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 5.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 152 | 91 | 0 | 0 | 151 | 0 | 0 | 128 |
N.S. |
1 | 1.07 | 0.64 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.584 | 0.124 | 0.000 | 0.000 | 0.270 | 0.000 | 0.000 | 5.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 0 | 0 | 61 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.15 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.241 | 0.015 | 0.000 | 0.000 | 0.248 | 0.000 | 0.000 | 4.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 17 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.00 | 1.06 | 1.06 |
time (sec) |
N/A | 0.211 | 0.100 | 0.051 | 0.262 | 0.263 | 2.964 | 0.265 | 5.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.525 | 0.132 | 0.158 | 0.255 | 0.239 | 5.810 | 0.275 | 5.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 1.035 | 0.166 | 0.189 | 0.253 | 0.258 | 32.018 | 0.261 | 5.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.778 | 0.199 | 0.069 | 0.265 | 0.260 | 51.571 | 0.257 | 6.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.377 | 0.158 | 0.130 | 0.312 | 0.262 | 9.704 | 0.259 | 6.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 13 | 15 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 1.07 | 1.07 | 1.07 | 1.07 | 1.07 |
time (sec) |
N/A | 0.184 | 0.023 | 0.082 | 0.287 | 0.254 | 2.209 | 0.262 | 5.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.382 | 0.142 | 0.071 | 0.285 | 0.248 | 2.809 | 0.255 | 5.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.790 | 0.216 | 0.175 | 0.252 | 0.244 | 13.673 | 0.260 | 5.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 121 | 68 | 103 | 0 | 79 | 99 | 0 | 82 |
N.S. |
1 | 1.13 | 0.64 | 0.96 | 0.00 | 0.74 | 0.93 | 0.00 | 0.77 |
time (sec) |
N/A | 0.434 | 0.035 | 0.404 | 0.000 | 0.247 | 104.885 | 0.000 | 0.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 76 | 51 | 72 | 0 | 59 | 63 | 0 | 56 |
N.S. |
1 | 1.07 | 0.72 | 1.01 | 0.00 | 0.83 | 0.89 | 0.00 | 0.79 |
time (sec) |
N/A | 0.312 | 0.022 | 0.193 | 0.000 | 0.255 | 17.147 | 0.000 | 0.199 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 41 | 0 | 40 | 27 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.28 | 0.00 | 1.25 | 0.84 | 0.00 | 0.84 |
time (sec) |
N/A | 0.197 | 0.011 | 0.108 | 0.000 | 0.256 | 2.391 | 0.000 | 4.688 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 0.015 | 0.000 | 0.000 | 0.000 | 3.195 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 32 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.014 | 0.000 | 0.000 | 0.000 | 7.391 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 107 | 34 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.02 | 0.32 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.419 | 0.017 | 0.000 | 0.000 | 0.000 | 49.390 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 148 | 164 | 52 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 109 | 117 | 43 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.425 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 36 | 0 | 0 | 0 | 22 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.013 | 0.000 | 0.000 | 0.000 | 27.871 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 0 | 0 | 0 | 20 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.007 | 0.000 | 0.000 | 0.000 | 4.091 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 26 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.43 | 0.00 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 0.015 | 0.000 | 0.000 | 0.000 | 3.697 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 102 | 29 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 0.97 | 0.28 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.014 | 0.000 | 0.000 | 0.000 | 24.916 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 29 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.538 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 257 | 95 | 0 | 0 | 106 | 0 | 0 | 206 |
N.S. |
1 | 1.78 | 0.66 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 1.073 | 0.048 | 0.000 | 0.000 | 0.261 | 0.000 | 0.000 | 5.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 137 | 77 | 0 | 0 | 86 | 0 | 0 | 117 |
N.S. |
1 | 1.41 | 0.79 | 0.00 | 0.00 | 0.89 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.543 | 0.031 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 42 | 0 | 0 | 49 | 0 | 0 | 50 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.241 | 0.009 | 0.000 | 0.000 | 0.256 | 0.000 | 0.000 | 4.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.00 | 1.05 | 1.05 |
time (sec) |
N/A | 0.214 | 0.078 | 0.052 | 0.258 | 0.254 | 2.371 | 0.262 | 5.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.505 | 0.117 | 0.121 | 0.276 | 0.244 | 3.951 | 0.268 | 5.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.961 | 0.152 | 0.157 | 0.279 | 0.241 | 15.440 | 0.264 | 5.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 154 | 78 | 0 | 0 | 74 | 124 | 0 | 126 |
N.S. |
1 | 1.27 | 0.64 | 0.00 | 0.00 | 0.61 | 1.02 | 0.00 | 1.04 |
time (sec) |
N/A | 0.708 | 0.027 | 0.000 | 0.000 | 0.254 | 1.417 | 0.000 | 5.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 58 | 0 | 0 | 53 | 68 | 0 | 86 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.77 | 0.99 | 0.00 | 1.25 |
time (sec) |
N/A | 0.362 | 0.013 | 0.000 | 0.000 | 0.247 | 0.520 | 0.000 | 0.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 0 | 0 | 16 | 19 | 0 | 91 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.76 | 0.90 | 0.00 | 4.33 |
time (sec) |
N/A | 0.190 | 0.001 | 0.000 | 0.000 | 0.247 | 0.150 | 0.000 | 5.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 56 | 0 | 0 | 55 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 0.017 | 0.000 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 135 | 91 | 0 | 0 | 85 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.77 | 0.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.686 | 0.025 | 0.000 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 304 | 312 | 206 | 0 | 0 | 262 | 0 | 0 | 336 |
N.S. |
1 | 1.03 | 0.68 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 1.554 | 1.434 | 0.000 | 0.000 | 0.271 | 0.000 | 0.000 | 5.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 73 | 0 | 0 | 100 | 0 | 0 | 79 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 1.28 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.315 | 0.055 | 0.000 | 0.000 | 0.258 | 0.000 | 0.000 | 4.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.00 | 1.05 | 1.05 |
time (sec) |
N/A | 0.212 | 0.131 | 0.049 | 0.269 | 0.258 | 5.272 | 0.263 | 5.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 1.267 | 0.196 | 0.185 | 0.271 | 0.241 | 23.653 | 0.267 | 5.837 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 0 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 0.00 | 1.05 | 1.05 |
time (sec) |
N/A | 3.405 | 0.310 | 0.066 | 0.253 | 0.236 | 0.000 | 0.259 | 6.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.653 | 0.238 | 0.138 | 0.276 | 0.265 | 43.529 | 0.264 | 6.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 15 | 17 | 17 | 17 | 17 | 17 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.06 | 1.06 | 1.06 |
time (sec) |
N/A | 0.191 | 0.026 | 0.063 | 0.260 | 0.254 | 4.268 | 0.259 | 6.080 |