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 | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 21 | 14 | 20 | 20 | 19 | 20 | 17 |
N.S. |
1 | 1.00 | 1.31 | 0.88 | 1.25 | 1.25 | 1.19 | 1.25 | 1.06 |
time (sec) |
N/A | 0.253 | 0.017 | 0.516 | 0.189 | 0.238 | 0.029 | 0.264 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 18 | 14 | 12 | 12 | 10 | 14 | 12 |
N.S. |
1 | 1.00 | 1.29 | 1.00 | 0.86 | 0.86 | 0.71 | 1.00 | 0.86 |
time (sec) |
N/A | 0.278 | 0.058 | 0.592 | 0.196 | 0.247 | 0.070 | 0.259 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 45 | 33 | 51 | 63 | 76 | 54 | 51 | 46 |
N.S. |
1 | 0.92 | 0.67 | 1.04 | 1.29 | 1.55 | 1.10 | 1.04 | 0.94 |
time (sec) |
N/A | 0.319 | 0.034 | 0.589 | 0.199 | 0.242 | 0.160 | 0.276 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 74 | 61 | 76 | 91 | 121 | 85 | 74 | 73 |
N.S. |
1 | 0.88 | 0.73 | 0.90 | 1.08 | 1.44 | 1.01 | 0.88 | 0.87 |
time (sec) |
N/A | 0.352 | 0.048 | 0.610 | 0.205 | 0.271 | 0.240 | 0.274 | 4.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 103 | 80 | 92 | 140 | 217 | 141 | 91 | 121 |
N.S. |
1 | 0.87 | 0.67 | 0.77 | 1.18 | 1.82 | 1.18 | 0.76 | 1.02 |
time (sec) |
N/A | 0.381 | 0.068 | 0.602 | 0.205 | 0.271 | 0.339 | 0.284 | 4.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 0 | 111 | 160 | 415 | 169 | 0 | 198 | 362 |
N.S. |
1 | 0.00 | 0.28 | 0.41 | 1.06 | 0.43 | 0.00 | 0.50 | 0.92 |
time (sec) |
N/A | 0.000 | 0.229 | 0.513 | 0.205 | 0.261 | 0.000 | 0.305 | 0.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 0 | 95 | 144 | 337 | 148 | 0 | 162 | 289 |
N.S. |
1 | 0.00 | 0.30 | 0.46 | 1.08 | 0.47 | 0.00 | 0.52 | 0.92 |
time (sec) |
N/A | 0.000 | 0.174 | 0.513 | 0.211 | 0.247 | 0.000 | 0.278 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 0 | 79 | 128 | 259 | 125 | 0 | 126 | 214 |
N.S. |
1 | 0.00 | 0.34 | 0.55 | 1.11 | 0.54 | 0.00 | 0.54 | 0.92 |
time (sec) |
N/A | 0.000 | 0.145 | 0.510 | 0.198 | 0.247 | 0.000 | 0.282 | 3.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 0 | 61 | 108 | 171 | 92 | 0 | 82 | 133 |
N.S. |
1 | 0.00 | 0.42 | 0.74 | 1.18 | 0.63 | 0.00 | 0.57 | 0.92 |
time (sec) |
N/A | 0.000 | 0.126 | 0.132 | 0.200 | 0.251 | 0.000 | 0.282 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 24 | 23 | 34 | 0 | 49 | 23 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 1.28 | 1.89 | 0.00 | 2.72 | 1.28 |
time (sec) |
N/A | 0.197 | 0.192 | 0.518 | 0.195 | 0.249 | 0.000 | 0.309 | 4.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 43 | 47 | 60 | 58 | 0 | 65 | 60 |
N.S. |
1 | 1.00 | 0.78 | 0.85 | 1.09 | 1.05 | 0.00 | 1.18 | 1.09 |
time (sec) |
N/A | 0.305 | 0.312 | 0.510 | 0.218 | 0.239 | 0.000 | 0.313 | 3.852 |
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 | 91 | 93 | 66 | 65 | 103 | 86 | 0 | 0 | 116 |
N.S. |
1 | 1.02 | 0.73 | 0.71 | 1.13 | 0.95 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.442 | 0.415 | 0.507 | 0.205 | 0.244 | 0.000 | 0.000 | 3.847 |
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 | 127 | 131 | 82 | 81 | 136 | 134 | 0 | 0 | 155 |
N.S. |
1 | 1.03 | 0.65 | 0.64 | 1.07 | 1.06 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.583 | 0.505 | 0.515 | 0.214 | 0.249 | 0.000 | 0.000 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 105 | 79 | 113 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.34 | 0.49 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 0.088 | 0.510 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 92 | 71 | 97 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.39 | 0.53 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 0.068 | 0.500 | 0.000 | 0.241 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 76 | 63 | 81 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 0.46 | 0.60 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.052 | 0.498 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 66 | 53 | 63 | 0 | 43 | 0 | 0 | 0 |
N.S. |
1 | 0.71 | 0.57 | 0.68 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.038 | 0.497 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 46 | 41 | 44 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.60 | 0.65 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 0.023 | 0.497 | 0.000 | 0.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 51 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.34 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.390 | 0.022 | 0.478 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 63 | 56 | 84 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 0.69 | 0.62 | 0.92 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 0.053 | 0.484 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 93 | 83 | 169 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.45 | 0.92 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.069 | 0.514 | 0.000 | 0.248 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 121 | 101 | 241 | 0 | 191 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.36 | 0.87 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 0.107 | 0.542 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 198 | 167 | 138 | 192 | 329 | 714 | 164 | 0 |
N.S. |
1 | 1.12 | 0.95 | 0.78 | 1.09 | 1.87 | 4.06 | 0.93 | 0.00 |
time (sec) |
N/A | 0.435 | 0.203 | 0.661 | 0.280 | 0.298 | 3.360 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 172 | 151 | 122 | 173 | 286 | 614 | 141 | 0 |
N.S. |
1 | 1.12 | 0.99 | 0.80 | 1.13 | 1.87 | 4.01 | 0.92 | 0.00 |
time (sec) |
N/A | 0.408 | 0.166 | 0.592 | 0.287 | 0.267 | 2.966 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 146 | 135 | 106 | 154 | 241 | 314 | 116 | 0 |
N.S. |
1 | 1.12 | 1.04 | 0.82 | 1.18 | 1.85 | 2.42 | 0.89 | 0.00 |
time (sec) |
N/A | 0.389 | 0.145 | 0.589 | 0.283 | 0.279 | 2.530 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 120 | 117 | 90 | 131 | 180 | 250 | 85 | 0 |
N.S. |
1 | 1.12 | 1.09 | 0.84 | 1.22 | 1.68 | 2.34 | 0.79 | 0.00 |
time (sec) |
N/A | 0.378 | 0.111 | 0.596 | 0.293 | 0.271 | 2.240 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 95 | 76 | 69 | 47 | 134 | 0 | 62 | 0 |
N.S. |
1 | 1.10 | 0.88 | 0.80 | 0.55 | 1.56 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.355 | 0.063 | 0.597 | 0.282 | 0.256 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 66 | 82 | 79 | 40 | 153 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.39 | 1.34 | 0.68 | 2.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.339 | 0.049 | 0.579 | 0.289 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 57 | 64 | 31 | 61 | 47 | 0 | 148 | 33 |
N.S. |
1 | 1.12 | 1.25 | 0.61 | 1.20 | 0.92 | 0.00 | 2.90 | 0.65 |
time (sec) |
N/A | 0.329 | 0.047 | 0.589 | 0.199 | 0.267 | 0.000 | 0.326 | 4.055 |
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 | 74 | 88 | 53 | 47 | 80 | 75 | 0 | 0 | 56 |
N.S. |
1 | 1.19 | 0.72 | 0.64 | 1.08 | 1.01 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.345 | 0.050 | 0.614 | 0.198 | 0.288 | 0.000 | 0.000 | 4.024 |
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 | 97 | 119 | 96 | 64 | 99 | 124 | 0 | 0 | 134 |
N.S. |
1 | 1.23 | 0.99 | 0.66 | 1.02 | 1.28 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.373 | 0.061 | 0.626 | 0.202 | 0.361 | 0.000 | 0.000 | 4.067 |
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 | 120 | 150 | 112 | 80 | 118 | 152 | 0 | 0 | 177 |
N.S. |
1 | 1.25 | 0.93 | 0.67 | 0.98 | 1.27 | 0.00 | 0.00 | 1.48 |
time (sec) |
N/A | 0.382 | 0.073 | 0.612 | 0.191 | 0.540 | 0.000 | 0.000 | 4.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 94 | 71 | 100 | 204 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.38 | 0.54 | 1.10 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 0.069 | 0.517 | 0.209 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 79 | 63 | 100 | 172 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.57 | 0.45 | 0.72 | 1.24 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.457 | 0.058 | 0.513 | 0.214 | 0.240 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 66 | 55 | 84 | 140 | 73 | 0 | 0 | 0 |
N.S. |
1 | 0.71 | 0.59 | 0.90 | 1.51 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 0.049 | 0.510 | 0.219 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 58 | 48 | 97 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.26 | 1.04 | 2.11 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.399 | 0.038 | 0.514 | 0.214 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 61 | 59 | 67 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.54 | 0.52 | 0.59 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.031 | 0.513 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 57 | 49 | 64 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 0.72 | 0.62 | 0.81 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.420 | 0.038 | 0.506 | 0.000 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 51 | 39 | 0 | 39 | 0 | 0 | 90 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.83 | 0.00 | 0.00 | 1.91 |
time (sec) |
N/A | 0.399 | 0.091 | 0.515 | 0.000 | 0.244 | 0.000 | 0.000 | 4.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 93 | 71 | 169 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.38 | 0.91 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.074 | 0.521 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 123 | 99 | 241 | 0 | 190 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.36 | 0.87 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.094 | 0.565 | 0.000 | 0.244 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 111 | 79 | 113 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 0.47 | 0.34 | 0.48 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.072 | 0.507 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 95 | 71 | 97 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.38 | 0.52 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.059 | 0.510 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 81 | 63 | 81 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.45 | 0.58 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 0.049 | 0.556 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 67 | 53 | 63 | 0 | 43 | 0 | 0 | 0 |
N.S. |
1 | 0.71 | 0.56 | 0.66 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.438 | 0.041 | 0.514 | 0.000 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 47 | 41 | 44 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.59 | 0.64 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.025 | 0.523 | 0.000 | 0.248 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 51 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.38 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 0.025 | 0.521 | 0.000 | 0.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 63 | 54 | 84 | 0 | 83 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.60 | 0.93 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.056 | 0.520 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 91 | 81 | 169 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.44 | 0.92 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 0.080 | 0.515 | 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 | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 121 | 99 | 241 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.36 | 0.87 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.099 | 0.523 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 147 | 136 | 106 | 154 | 241 | 314 | 117 | 0 |
N.S. |
1 | 1.12 | 1.04 | 0.81 | 1.18 | 1.84 | 2.40 | 0.89 | 0.00 |
time (sec) |
N/A | 0.397 | 0.174 | 0.638 | 0.291 | 0.282 | 2.742 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 121 | 117 | 90 | 130 | 180 | 248 | 85 | 0 |
N.S. |
1 | 1.12 | 1.08 | 0.83 | 1.20 | 1.67 | 2.30 | 0.79 | 0.00 |
time (sec) |
N/A | 0.380 | 0.115 | 0.629 | 0.302 | 0.261 | 2.410 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 95 | 100 | 69 | 47 | 134 | 0 | 62 | 0 |
N.S. |
1 | 1.09 | 1.15 | 0.79 | 0.54 | 1.54 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.355 | 0.062 | 0.639 | 0.286 | 0.256 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 67 | 100 | 73 | 39 | 151 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.67 | 1.22 | 0.65 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.345 | 0.075 | 0.620 | 0.330 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 58 | 63 | 31 | 60 | 47 | 0 | 148 | 33 |
N.S. |
1 | 1.12 | 1.21 | 0.60 | 1.15 | 0.90 | 0.00 | 2.85 | 0.63 |
time (sec) |
N/A | 0.331 | 0.048 | 0.621 | 0.205 | 0.262 | 0.000 | 0.314 | 3.998 |
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 | 75 | 89 | 79 | 47 | 79 | 75 | 0 | 0 | 56 |
N.S. |
1 | 1.19 | 1.05 | 0.63 | 1.05 | 1.00 | 0.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.343 | 0.059 | 0.625 | 0.225 | 0.299 | 0.000 | 0.000 | 4.066 |
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 | 98 | 120 | 96 | 64 | 98 | 124 | 0 | 0 | 134 |
N.S. |
1 | 1.22 | 0.98 | 0.65 | 1.00 | 1.27 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.369 | 0.075 | 0.622 | 0.211 | 0.369 | 0.000 | 0.000 | 4.120 |
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 | 121 | 151 | 112 | 80 | 117 | 152 | 0 | 0 | 177 |
N.S. |
1 | 1.25 | 0.93 | 0.66 | 0.97 | 1.26 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.385 | 0.097 | 0.622 | 0.213 | 0.523 | 0.000 | 0.000 | 4.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 97 | 71 | 100 | 204 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.38 | 0.53 | 1.08 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 0.065 | 0.520 | 0.222 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 83 | 63 | 100 | 172 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.44 | 0.70 | 1.21 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.452 | 0.059 | 0.524 | 0.237 | 0.240 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 67 | 55 | 84 | 140 | 73 | 0 | 0 | 0 |
N.S. |
1 | 0.71 | 0.58 | 0.88 | 1.47 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.432 | 0.048 | 0.523 | 0.212 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 58 | 48 | 97 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 1.02 | 2.06 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.038 | 0.519 | 0.207 | 0.242 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 59 | 58 | 67 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.52 | 0.60 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 0.032 | 0.529 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 57 | 47 | 62 | 0 | 38 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.61 | 0.81 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.045 | 0.532 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 51 | 39 | 0 | 39 | 0 | 0 | 58 |
N.S. |
1 | 1.00 | 1.11 | 0.85 | 0.00 | 0.85 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 0.395 | 0.101 | 0.523 | 0.000 | 0.252 | 0.000 | 0.000 | 4.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 91 | 71 | 169 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.39 | 0.93 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.073 | 0.522 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 119 | 99 | 241 | 0 | 193 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.36 | 0.88 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.491 | 0.103 | 0.521 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 52 | 45 | 47 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.59 | 0.62 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.453 | 0.028 | 0.520 | 0.000 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 52 | 43 | 47 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.58 | 0.64 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.025 | 0.518 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 46 | 41 | 44 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.60 | 0.65 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 0.011 | 0.518 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 42 | 41 | 44 | 0 | 18 | 0 | 0 | 0 |
N.S. |
1 | 0.61 | 0.59 | 0.64 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 0.025 | 0.529 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 46 | 44 | 48 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.60 | 0.66 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 0.026 | 0.530 | 0.000 | 0.244 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 192 | 96 | 97 | 117 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.40 | 0.70 | 0.71 | 0.85 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 0.201 | 0.664 | 0.296 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 161 | 88 | 89 | 93 | 168 | 0 | 84 | 0 |
N.S. |
1 | 1.44 | 0.79 | 0.79 | 0.83 | 1.50 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.566 | 0.153 | 0.654 | 0.288 | 0.257 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 120 | 79 | 80 | 70 | 150 | 0 | 72 | 0 |
N.S. |
1 | 1.41 | 0.93 | 0.94 | 0.82 | 1.76 | 0.00 | 0.85 | 0.00 |
time (sec) |
N/A | 0.472 | 0.133 | 0.651 | 0.291 | 0.258 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 95 | 76 | 69 | 47 | 134 | 0 | 62 | 0 |
N.S. |
1 | 1.10 | 0.88 | 0.80 | 0.55 | 1.56 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.359 | 0.045 | 0.628 | 0.289 | 0.249 | 0.000 | 0.269 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 84 | 97 | 129 | 90 | 191 | 0 | 95 | 0 |
N.S. |
1 | 1.12 | 1.29 | 1.72 | 1.20 | 2.55 | 0.00 | 1.27 | 0.00 |
time (sec) |
N/A | 0.519 | 0.133 | 0.633 | 0.295 | 0.273 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 89 | 104 | 102 | 0 | 209 | 0 | 134 | 0 |
N.S. |
1 | 1.09 | 1.27 | 1.24 | 0.00 | 2.55 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.533 | 0.151 | 0.660 | 0.000 | 0.260 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 88 | 76 | 78 | 0 | 148 | 0 | 200 | 0 |
N.S. |
1 | 1.13 | 0.97 | 1.00 | 0.00 | 1.90 | 0.00 | 2.56 | 0.00 |
time (sec) |
N/A | 0.493 | 0.171 | 0.674 | 0.000 | 0.250 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 114 | 82 | 86 | 0 | 164 | 0 | 250 | 0 |
N.S. |
1 | 1.15 | 0.83 | 0.87 | 0.00 | 1.66 | 0.00 | 2.53 | 0.00 |
time (sec) |
N/A | 0.529 | 0.181 | 0.689 | 0.000 | 0.261 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 150 | 95 | 95 | 0 | 180 | 0 | 324 | 0 |
N.S. |
1 | 1.15 | 0.73 | 0.73 | 0.00 | 1.38 | 0.00 | 2.49 | 0.00 |
time (sec) |
N/A | 0.594 | 0.198 | 0.733 | 0.000 | 0.262 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 89 | 87 | 92 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 0.39 | 0.38 | 0.40 | 0.00 | 0.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.509 | 0.064 | 0.572 | 0.000 | 0.242 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 77 | 74 | 83 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.40 | 0.45 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.498 | 0.049 | 0.531 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 71 | 66 | 76 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 0.47 | 0.43 | 0.50 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.044 | 0.526 | 0.000 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 61 | 59 | 67 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.54 | 0.52 | 0.59 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.399 | 0.017 | 0.528 | 0.000 | 0.247 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 53 | 54 | 59 | 0 | 28 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.47 | 0.52 | 0.00 | 0.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.411 | 0.034 | 0.523 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 58 | 54 | 65 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.47 | 0.57 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.041 | 0.523 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 70 | 64 | 77 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.42 | 0.50 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 0.055 | 0.535 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 80 | 76 | 85 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.39 | 0.44 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 0.062 | 0.547 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 86 | 80 | 93 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 0.38 | 0.35 | 0.41 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.494 | 0.067 | 0.553 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 94 | 83 | 106 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 0.45 | 0.39 | 0.50 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 0.106 | 0.548 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 84 | 74 | 98 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 0.49 | 0.43 | 0.57 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.070 | 0.549 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 79 | 62 | 86 | 0 | 56 | 0 | 0 | 0 |
N.S. |
1 | 0.61 | 0.48 | 0.66 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.503 | 0.060 | 0.549 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 63 | 52 | 84 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 0.72 | 0.60 | 0.97 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.055 | 0.542 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 63 | 56 | 84 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 0.69 | 0.62 | 0.92 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.028 | 0.559 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 72 | 68 | 93 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.38 | 0.53 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 0.069 | 0.566 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 82 | 79 | 118 | 0 | 92 | 0 | 0 | 0 |
N.S. |
1 | 0.38 | 0.37 | 0.55 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.505 | 0.071 | 0.548 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 99 | 94 | 138 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 0.39 | 0.37 | 0.55 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 0.089 | 0.546 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 113 | 100 | 185 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.38 | 0.71 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 0.126 | 0.549 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 109 | 84 | 169 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.39 | 0.78 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 0.107 | 0.546 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |