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 | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 82 | 356 | 232 | 85 | 151 | 152 | 122 |
N.S. | 1 | 1.00 | 0.66 | 2.87 | 1.87 | 0.69 | 1.22 | 1.23 | 0.98 |
time (sec) |
N/A | 0.253 | 0.115 | 0.680 | 0.272 | 0.407 | 0.332 | 0.410 | 0.958 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 65 | 224 | 196 | 67 | 117 | 116 | 92 |
N.S. | 1 | 1.00 | 0.69 | 2.38 | 2.09 | 0.71 | 1.24 | 1.23 | 0.98 |
time (sec) |
N/A | 0.173 | 0.098 | 0.653 | 0.268 | 0.369 | 0.218 | 0.421 | 0.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 45 | 122 | 160 | 48 | 82 | 79 | 62 |
N.S. | 1 | 1.00 | 0.70 | 1.91 | 2.50 | 0.75 | 1.28 | 1.23 | 0.97 |
time (sec) |
N/A | 0.097 | 0.074 | 0.750 | 0.281 | 0.419 | 0.139 | 0.443 | 0.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 53 | 68 | 30 | 46 | 46 | 35 |
N.S. | 1 | 1.00 | 0.96 | 1.89 | 2.43 | 1.07 | 1.64 | 1.64 | 1.25 |
time (sec) |
N/A | 0.016 | 0.044 | 0.651 | 0.269 | 0.451 | 0.090 | 0.451 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 39 | 52 | 97 | 54 | 34 | 47 | -1 |
N.S. | 1 | 1.00 | 1.39 | 1.86 | 3.46 | 1.93 | 1.21 | 1.68 | -0.04 |
time (sec) |
N/A | 0.108 | 0.026 | 0.845 | 0.342 | 0.352 | 2.002 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 59 | 77 | 82 | 76 | 0 | 72 | -1 |
N.S. | 1 | 1.00 | 1.26 | 1.64 | 1.74 | 1.62 | 0.00 | 1.53 | -0.02 |
time (sec) |
N/A | 0.165 | 0.103 | 0.852 | 0.328 | 0.349 | 0.000 | 0.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 78 | 139 | 66 | 116 | 0 | 134 | -1 |
N.S. |
1 | 1.00 | 0.89 | 1.58 | 0.75 | 1.32 | 0.00 | 1.52 | -0.01 |
time (sec) |
N/A | 0.200 | 0.122 | 0.928 | 0.350 | 0.489 | 0.000 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 110 | 205 | 78 | 143 | 0 | 199 | -1 |
N.S. |
1 | 1.00 | 0.83 | 1.55 | 0.59 | 1.08 | 0.00 | 1.51 | -0.01 |
time (sec) |
N/A | 0.233 | 0.206 | 0.996 | 0.364 | 0.342 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 140 | 271 | 82 | 161 | 0 | 266 | -1 |
N.S. |
1 | 1.00 | 0.84 | 1.63 | 0.49 | 0.97 | 0.00 | 1.60 | -0.01 |
time (sec) |
N/A | 0.277 | 0.246 | 1.023 | 0.337 | 0.398 | 0.000 | 0.414 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 100 | 463 | 329 | 127 | 228 | 236 | 168 |
N.S. | 1 | 1.00 | 0.54 | 2.52 | 1.79 | 0.69 | 1.24 | 1.28 | 0.91 |
time (sec) |
N/A | 0.261 | 0.164 | 0.622 | 0.288 | 0.405 | 0.367 | 0.418 | 0.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 87 | 283 | 275 | 95 | 172 | 171 | 125 |
N.S. | 1 | 1.00 | 0.65 | 2.11 | 2.05 | 0.71 | 1.28 | 1.28 | 0.93 |
time (sec) |
N/A | 0.148 | 0.124 | 0.631 | 0.282 | 0.360 | 0.228 | 0.408 | 0.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 56 | 147 | 135 | 64 | 112 | 112 | 82 |
N.S. | 1 | 1.00 | 1.14 | 3.00 | 2.76 | 1.31 | 2.29 | 2.29 | 1.67 |
time (sec) |
N/A | 0.034 | 0.091 | 0.605 | 0.283 | 0.414 | 0.141 | 0.392 | 0.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 51 | 121 | 175 | 94 | 73 | 113 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.95 | 2.82 | 1.52 | 1.18 | 1.82 | -0.02 |
time (sec) |
N/A | 0.137 | 0.162 | 0.798 | 0.348 | 0.345 | 2.233 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 62 | 118 | 136 | 122 | 0 | 119 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.69 | 1.94 | 1.74 | 0.00 | 1.70 | -0.01 |
time (sec) |
N/A | 0.188 | 0.156 | 0.763 | 0.327 | 0.341 | 0.000 | 0.433 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 93 | 181 | 126 | 153 | 0 | 181 | -1 |
N.S. | 1 | 1.00 | 0.77 | 1.50 | 1.04 | 1.26 | 0.00 | 1.50 | -0.01 |
time (sec) |
N/A | 0.243 | 0.235 | 0.686 | 0.344 | 0.370 | 0.000 | 0.402 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 154 | 287 | 117 | 194 | 0 | 285 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.67 | 0.68 | 1.13 | 0.00 | 1.66 | -0.01 |
time (sec) |
N/A | 0.300 | 0.281 | 0.698 | 0.340 | 0.344 | 0.000 | 0.424 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 206 | 396 | 128 | 231 | 0 | 395 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.60 | 0.52 | 0.93 | 0.00 | 1.59 | -0.00 |
time (sec) |
N/A | 0.360 | 0.355 | 0.704 | 0.346 | 0.360 | 0.000 | 0.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 159 | 442 | 437 | 236 | 0 | 407 | -1 |
N.S. | 1 | 1.00 | 0.73 | 2.02 | 2.00 | 1.08 | 0.00 | 1.86 | -0.00 |
time (sec) |
N/A | 0.344 | 0.400 | 0.967 | 0.311 | 0.366 | 0.000 | 0.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 118 | 292 | 328 | 190 | 0 | 256 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.95 | 2.19 | 1.27 | 0.00 | 1.71 | -0.01 |
time (sec) |
N/A | 0.247 | 0.309 | 0.909 | 0.319 | 0.371 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 89 | 184 | 233 | 156 | 0 | 148 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.84 | 2.33 | 1.56 | 0.00 | 1.48 | -0.01 |
time (sec) |
N/A | 0.192 | 0.194 | 0.875 | 0.311 | 0.378 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 64 | 114 | 156 | 118 | 0 | 83 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.68 | 2.29 | 1.74 | 0.00 | 1.22 | -0.01 |
time (sec) |
N/A | 0.120 | 0.093 | 0.815 | 0.310 | 0.386 | 0.000 | 0.422 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 49 | 81 | 57 | 95 | 0 | 56 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.59 | 1.12 | 1.86 | 0.00 | 1.10 | -0.02 |
time (sec) |
N/A | 0.054 | 0.056 | 0.745 | 0.299 | 0.414 | 0.000 | 0.423 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 63 | 108 | 155 | 123 | 0 | 75 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.48 | 2.12 | 1.68 | 0.00 | 1.03 | -0.01 |
time (sec) |
N/A | 0.183 | 0.087 | 0.721 | 0.332 | 0.373 | 0.000 | 0.410 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 101 | 172 | 192 | 179 | 0 | 129 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.52 | 1.70 | 1.58 | 0.00 | 1.14 | -0.01 |
time (sec) |
N/A | 0.266 | 0.244 | 0.717 | 0.356 | 0.443 | 0.000 | 0.410 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 178 | 281 | 242 | 275 | 0 | 248 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.48 | 1.27 | 1.45 | 0.00 | 1.31 | -0.01 |
time (sec) |
N/A | 0.345 | 0.290 | 0.727 | 0.376 | 0.365 | 0.000 | 0.402 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 173 | 431 | 406 | 371 | 0 | 2979 | -1 |
N.S. | 1 | 1.00 | 0.75 | 1.87 | 1.76 | 1.61 | 0.00 | 12.90 | -0.00 |
time (sec) |
N/A | 0.404 | 0.746 | 0.987 | 0.336 | 0.376 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 156 | 325 | 312 | 333 | 0 | 1991 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.79 | 1.71 | 1.83 | 0.00 | 10.94 | -0.01 |
time (sec) |
N/A | 0.325 | 0.626 | 0.937 | 0.344 | 0.417 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 115 | 254 | 236 | 274 | 0 | 1308 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.73 | 1.61 | 1.86 | 0.00 | 8.90 | -0.01 |
time (sec) |
N/A | 0.286 | 0.496 | 0.853 | 0.337 | 0.362 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 97 | 215 | 178 | 200 | 0 | 994 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.72 | 1.42 | 1.60 | 0.00 | 7.95 | -0.01 |
time (sec) |
N/A | 0.221 | 0.272 | 0.738 | 0.324 | 0.373 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 65 | 132 | 81 | 149 | 0 | 615 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.86 | 1.14 | 2.10 | 0.00 | 8.66 | -0.01 |
time (sec) |
N/A | 0.084 | 0.187 | 0.711 | 0.317 | 0.376 | 0.000 | 0.441 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 139 | 254 | 227 | 270 | 0 | 1329 | -1 |
N.S. | 1 | 1.00 | 0.93 | 1.69 | 1.51 | 1.80 | 0.00 | 8.86 | -0.01 |
time (sec) |
N/A | 0.307 | 0.806 | 0.714 | 0.382 | 0.368 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 183 | 312 | 0 | 377 | 0 | 3353 | -1 |
N.S. |
1 | 1.00 | 0.98 | 1.68 | 0.00 | 2.03 | 0.00 | 18.03 | -0.01 |
time (sec) |
N/A | 0.367 | 0.905 | 0.737 | 0.000 | 0.465 | 0.000 | 0.472 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 236 | 571 | 0 | 566 | 0 | 879 | -1 |
N.S. | 1 | 1.00 | 0.89 | 2.16 | 0.00 | 2.14 | 0.00 | 3.33 | -0.00 |
time (sec) |
N/A | 0.474 | 0.671 | 0.914 | 0.000 | 0.371 | 0.000 | 0.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 153 | 527 | 0 | 475 | 0 | 741 | -1 |
N.S. | 1 | 1.00 | 0.63 | 2.19 | 0.00 | 1.97 | 0.00 | 3.07 | -0.00 |
time (sec) |
N/A | 0.412 | 0.625 | 0.752 | 0.000 | 0.367 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 158 | 435 | 0 | 373 | 0 | 529 | -1 |
N.S. |
1 | 1.00 | 0.89 | 2.44 | 0.00 | 2.10 | 0.00 | 2.97 | -0.01 |
time (sec) |
N/A | 0.282 | 0.399 | 0.740 | 0.000 | 0.444 | 0.000 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 88 | 276 | 95 | 253 | 0 | 298 | -1 |
N.S. |
1 | 1.00 | 0.85 | 2.65 | 0.91 | 2.43 | 0.00 | 2.87 | -0.01 |
time (sec) |
N/A | 0.100 | 0.398 | 0.721 | 0.295 | 0.342 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 451 | 488 | 0 | 601 | 0 | 837 | -1 |
N.S. | 1 | 1.00 | 1.72 | 1.86 | 0.00 | 2.29 | 0.00 | 3.19 | -0.00 |
time (sec) |
N/A | 0.425 | 0.866 | 0.728 | 0.000 | 0.407 | 0.000 | 0.422 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 541 | 643 | 0 | 762 | 0 | 1006 | -1 |
N.S. |
1 | 1.00 | 1.82 | 2.16 | 0.00 | 2.56 | 0.00 | 3.38 | -0.00 |
time (sec) |
N/A | 0.520 | 0.977 | 0.756 | 0.000 | 0.430 | 0.000 | 0.404 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 627 | 760 | 0 | 892 | 0 | 1169 | -1 |
N.S. |
1 | 1.00 | 1.66 | 2.02 | 0.00 | 2.37 | 0.00 | 3.10 | -0.00 |
time (sec) |
N/A | 0.634 | 1.214 | 0.767 | 0.000 | 0.392 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 92 | 447 | 250 | 95 | 168 | 174 | 116 |
N.S. | 1 | 1.00 | 0.66 | 3.22 | 1.80 | 0.68 | 1.21 | 1.25 | 0.83 |
time (sec) |
N/A | 0.184 | 0.128 | 0.689 | 0.263 | 0.425 | 0.491 | 0.422 | 0.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 74 | 298 | 214 | 78 | 134 | 138 | 93 |
N.S. | 1 | 1.00 | 0.68 | 2.73 | 1.96 | 0.72 | 1.23 | 1.27 | 0.85 |
time (sec) |
N/A | 0.136 | 0.104 | 0.661 | 0.273 | 0.392 | 0.308 | 0.418 | 0.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 57 | 183 | 213 | 60 | 99 | 101 | 70 |
N.S. | 1 | 1.00 | 0.72 | 2.32 | 2.70 | 0.76 | 1.25 | 1.28 | 0.89 |
time (sec) |
N/A | 0.087 | 0.092 | 0.648 | 0.274 | 0.374 | 0.224 | 0.436 | 0.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 40 | 97 | 86 | 42 | 65 | 70 | 47 |
N.S. | 1 | 1.00 | 0.78 | 1.90 | 1.69 | 0.82 | 1.27 | 1.37 | 0.92 |
time (sec) |
N/A | 0.051 | 0.061 | 0.651 | 0.269 | 0.516 | 0.127 | 0.408 | 0.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 55 | 81 | 122 | 73 | 49 | 76 | -1 |
N.S. | 1 | 1.00 | 1.34 | 1.98 | 2.98 | 1.78 | 1.20 | 1.85 | -0.02 |
time (sec) |
N/A | 0.077 | 0.090 | 0.911 | 0.305 | 0.405 | 1.936 | 0.399 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 81 | 80 | 82 | 0 | 80 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.93 | 1.90 | 1.95 | 0.00 | 1.90 | -0.02 |
time (sec) |
N/A | 0.090 | 0.075 | 0.862 | 0.319 | 0.465 | 0.000 | 0.397 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 80 | 110 | 90 | 107 | 0 | 109 | -1 |
N.S. | 1 | 1.00 | 1.08 | 1.49 | 1.22 | 1.45 | 0.00 | 1.47 | -0.01 |
time (sec) |
N/A | 0.127 | 0.130 | 0.924 | 0.345 | 0.409 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 95 | 172 | 73 | 127 | 0 | 170 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.64 | 0.70 | 1.21 | 0.00 | 1.62 | -0.01 |
time (sec) |
N/A | 0.172 | 0.180 | 0.933 | 0.349 | 0.466 | 0.000 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 127 | 238 | 76 | 152 | 0 | 237 | -1 |
N.S. |
1 | 1.00 | 0.85 | 1.60 | 0.51 | 1.02 | 0.00 | 1.59 | -0.01 |
time (sec) |
N/A | 0.219 | 0.248 | 0.997 | 0.325 | 0.372 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 138 | 738 | 383 | 155 | 286 | 304 | 182 |
N.S. | 1 | 1.00 | 0.59 | 3.15 | 1.64 | 0.66 | 1.22 | 1.30 | 0.78 |
time (sec) |
N/A | 0.266 | 0.218 | 0.615 | 0.282 | 0.395 | 0.703 | 0.413 | 1.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 113 | 513 | 353 | 126 | 226 | 239 | 148 |
N.S. | 1 | 1.00 | 0.61 | 2.79 | 1.92 | 0.68 | 1.23 | 1.30 | 0.80 |
time (sec) |
N/A | 0.201 | 0.152 | 0.609 | 0.284 | 0.379 | 0.471 | 0.413 | 0.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 85 | 332 | 189 | 98 | 172 | 180 | 114 |
N.S. | 1 | 1.00 | 0.62 | 2.44 | 1.39 | 0.72 | 1.26 | 1.32 | 0.84 |
time (sec) |
N/A | 0.130 | 0.117 | 0.582 | 0.274 | 0.388 | 0.312 | 0.423 | 0.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 82 | 226 | 235 | 130 | 121 | 222 | -1 |
N.S. | 1 | 1.00 | 0.75 | 2.05 | 2.14 | 1.18 | 1.10 | 2.02 | -0.01 |
time (sec) |
N/A | 0.134 | 0.259 | 0.838 | 0.320 | 0.419 | 2.466 | 0.412 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 95 | 190 | 179 | 127 | 0 | 197 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.88 | 1.34 | 0.00 | 2.07 | -0.01 |
time (sec) |
N/A | 0.127 | 0.173 | 0.879 | 0.316 | 0.390 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 97 | 188 | 165 | 164 | 0 | 206 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.65 | 1.45 | 1.44 | 0.00 | 1.81 | -0.01 |
time (sec) |
N/A | 0.155 | 0.272 | 0.857 | 0.341 | 0.357 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 114 | 222 | 135 | 171 | 0 | 236 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.67 | 1.02 | 1.29 | 0.00 | 1.77 | -0.01 |
time (sec) |
N/A | 0.183 | 0.277 | 0.830 | 0.328 | 0.374 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 124 | 291 | 139 | 194 | 0 | 294 | -1 |
N.S. | 1 | 1.00 | 0.71 | 1.66 | 0.79 | 1.11 | 0.00 | 1.68 | -0.01 |
time (sec) |
N/A | 0.241 | 0.298 | 0.789 | 0.348 | 0.359 | 0.000 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 274 | 369 | 0 | 605 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.35 | 0.00 | 2.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.508 | 0.333 | 1.171 | 0.000 | 0.358 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 210 | 268 | 0 | 502 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.28 | 0.00 | 2.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.262 | 0.298 | 0.987 | 0.000 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 213 | 259 | 0 | 496 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.15 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.272 | 0.211 | 0.886 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 171 | 200 | 0 | 219 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 1.13 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.182 | 0.148 | 0.730 | 0.000 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 180 | 212 | 0 | 316 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.00 | 0.00 | 1.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.190 | 0.171 | 0.712 | 0.000 | 0.416 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 187 | 227 | 0 | 249 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 1.15 | 0.00 | 1.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.271 | 0.283 | 0.714 | 0.000 | 0.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 243 | 288 | 0 | 599 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 1.16 | 0.00 | 2.41 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.367 | 0.288 | 0.721 | 0.000 | 0.497 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 257 | 330 | 0 | 583 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 1.22 | 0.00 | 2.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.352 | 0.422 | 0.743 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 449 | 449 | 621 | 532 | 0 | 1179 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.38 | 1.18 | 0.00 | 2.63 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.604 | 1.093 | 1.144 | 0.000 | 0.659 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 431 | 431 | 582 | 495 | 0 | 931 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.35 | 1.15 | 0.00 | 2.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.496 | 0.495 | 0.898 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 416 | 416 | 364 | 491 | 0 | 1162 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 1.18 | 0.00 | 2.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.420 | 0.700 | 0.832 | 0.000 | 0.435 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 239 | 291 | 0 | 641 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.22 | 0.00 | 2.68 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.237 | 0.402 | 0.783 | 0.000 | 0.521 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 476 | 476 | 590 | 503 | 0 | 1162 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.24 | 1.06 | 0.00 | 2.44 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.603 | 0.557 | 0.731 | 0.000 | 0.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 501 | 546 | 0 | 992 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 1.26 | 0.00 | 2.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.615 | 0.845 | 0.749 | 0.000 | 0.489 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 500 | 500 | 675 | 595 | 0 | 1310 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.35 | 1.19 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.908 | 0.703 | 0.784 | 0.000 | 0.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 476 | 476 | 648 | 820 | 0 | 1620 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.36 | 1.72 | 0.00 | 3.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.749 | 1.424 | 1.103 | 0.000 | 0.440 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 746 | 746 | 932 | 1064 | 0 | 2047 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.25 | 1.43 | 0.00 | 2.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.822 | 1.898 | 0.932 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 512 | 512 | 637 | 743 | 0 | 1607 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.24 | 1.45 | 0.00 | 3.14 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.604 | 1.352 | 0.837 | 0.000 | 0.575 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 856 | 856 | 933 | 1064 | 0 | 2116 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 1.24 | 0.00 | 2.47 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.883 | 1.775 | 0.756 | 0.000 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 730 | 730 | 1046 | 1090 | 0 | 2076 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.43 | 1.49 | 0.00 | 2.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.260 | 1.715 | 0.783 | 0.000 | 0.539 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 874 | 874 | 1009 | 1178 | 0 | 2346 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 1.35 | 0.00 | 2.68 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.116 | 1.936 | 0.790 | 0.000 | 0.521 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 791 | 791 | 998 | 1294 | 0 | 2363 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.26 | 1.64 | 0.00 | 2.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.411 | 2.630 | 0.820 | 0.000 | 0.490 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 100 | 551 | 268 | 105 | 185 | 192 | 152 |
N.S. | 1 | 1.00 | 0.65 | 3.58 | 1.74 | 0.68 | 1.20 | 1.25 | 0.99 |
time (sec) |
N/A | 0.209 | 0.132 | 0.672 | 0.281 | 0.423 | 0.684 | 0.405 | 1.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 84 | 389 | 267 | 87 | 151 | 156 | 122 |
N.S. | 1 | 1.00 | 0.68 | 3.14 | 2.15 | 0.70 | 1.22 | 1.26 | 0.98 |
time (sec) |
N/A | 0.158 | 0.110 | 0.661 | 0.277 | 0.373 | 0.448 | 0.413 | 0.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 66 | 257 | 196 | 68 | 116 | 119 | 92 |
N.S. | 1 | 1.00 | 0.70 | 2.73 | 2.09 | 0.72 | 1.23 | 1.27 | 0.98 |
time (sec) |
N/A | 0.108 | 0.089 | 0.660 | 0.260 | 0.385 | 0.300 | 0.403 | 0.924 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 49 | 158 | 104 | 53 | 82 | 88 | 65 |
N.S. | 1 | 1.00 | 0.74 | 2.39 | 1.58 | 0.80 | 1.24 | 1.33 | 0.98 |
time (sec) |
N/A | 0.068 | 0.074 | 0.658 | 0.268 | 0.418 | 0.189 | 0.407 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 49 | 113 | 140 | 86 | 66 | 109 | -1 |
N.S. | 1 | 1.00 | 0.88 | 2.02 | 2.50 | 1.54 | 1.18 | 1.95 | -0.02 |
time (sec) |
N/A | 0.093 | 0.147 | 0.902 | 0.315 | 0.347 | 2.052 | 0.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 55 | 110 | 102 | 90 | 0 | 111 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.85 | 1.64 | 0.00 | 2.02 | -0.02 |
time (sec) |
N/A | 0.093 | 0.105 | 0.925 | 0.312 | 0.413 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 86 | 114 | 87 | 101 | 0 | 118 | -1 |
N.S. | 1 | 1.00 | 1.25 | 1.65 | 1.26 | 1.46 | 0.00 | 1.71 | -0.01 |
time (sec) |
N/A | 0.098 | 0.115 | 0.926 | 0.322 | 0.362 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 73 | 143 | 95 | 118 | 0 | 141 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.57 | 1.04 | 1.30 | 0.00 | 1.55 | -0.01 |
time (sec) |
N/A | 0.150 | 0.193 | 0.935 | 0.329 | 0.407 | 0.000 | 0.402 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 139 | 818 | 383 | 161 | 284 | 303 | 301 |
N.S. | 1 | 1.00 | 0.59 | 3.50 | 1.64 | 0.69 | 1.21 | 1.29 | 1.29 |
time (sec) |
N/A | 0.277 | 0.196 | 0.612 | 0.267 | 0.376 | 0.977 | 0.405 | 0.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 111 | 592 | 243 | 130 | 226 | 244 | 182 |
N.S. | 1 | 1.00 | 0.60 | 3.18 | 1.31 | 0.70 | 1.22 | 1.31 | 0.98 |
time (sec) |
N/A | 0.207 | 0.179 | 0.618 | 0.293 | 0.399 | 0.690 | 0.404 | 0.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 108 | 335 | 289 | 161 | 168 | 331 | -1 |
N.S. | 1 | 1.00 | 0.68 | 2.09 | 1.81 | 1.01 | 1.05 | 2.07 | -0.01 |
time (sec) |
N/A | 0.207 | 0.348 | 0.864 | 0.322 | 0.368 | 3.193 | 0.408 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 143 | 296 | 235 | 160 | 0 | 308 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.07 | 1.64 | 1.12 | 0.00 | 2.15 | -0.01 |
time (sec) |
N/A | 0.197 | 0.233 | 0.891 | 0.327 | 0.413 | 0.000 | 0.408 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 136 | 265 | 203 | 161 | 0 | 280 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.88 | 1.44 | 1.14 | 0.00 | 1.99 | -0.01 |
time (sec) |
N/A | 0.163 | 0.226 | 0.895 | 0.324 | 0.361 | 0.000 | 0.397 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 135 | 261 | 188 | 187 | 0 | 279 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.74 | 1.25 | 1.25 | 0.00 | 1.86 | -0.01 |
time (sec) |
N/A | 0.208 | 0.408 | 0.913 | 0.329 | 0.402 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 150 | 292 | 154 | 196 | 0 | 315 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.75 | 0.92 | 1.17 | 0.00 | 1.89 | -0.01 |
time (sec) |
N/A | 0.251 | 0.359 | 0.934 | 0.339 | 0.372 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-1) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 213 | 925 | 0 | 989 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 2.48 | 0.00 | 2.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.720 | 0.370 | 1.156 | 0.000 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-1) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 198 | 671 | 0 | 977 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 1.87 | 0.00 | 2.73 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.476 | 0.196 | 1.069 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 170 | 423 | 0 | 500 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.60 | 1.49 | 0.00 | 1.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.360 | 0.171 | 1.014 | 0.000 | 0.414 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-1) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 180 | 280 | 0 | 671 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 0.81 | 0.00 | 1.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.304 | 0.168 | 1.013 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-1) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 180 | 143 | 0 | 673 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 0.41 | 0.00 | 1.95 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.300 | 0.109 | 1.001 | 0.000 | 0.451 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 303 | 303 | 186 | 138 | 0 | 530 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.46 | 0.00 | 1.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.372 | 0.211 | 0.992 | 0.000 | 0.406 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F(-1) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 215 | 187 | 0 | 1154 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.49 | 0.00 | 3.03 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.442 | 0.322 | 1.017 | 0.000 | 0.483 | 0.000 | 0.000 | 0.000 |