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 | 124 | 124 | 82 | 119 | 232 | 85 | 151 | 152 | 122 |
N.S. |
1 | 1.00 | 0.66 | 0.96 | 1.87 | 0.69 | 1.22 | 1.23 | 0.98 |
time (sec) |
N/A | 0.513 | 0.143 | 0.135 | 0.205 | 0.255 | 0.326 | 0.470 | 1.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 65 | 94 | 196 | 67 | 117 | 116 | 92 |
N.S. |
1 | 1.00 | 0.69 | 1.00 | 2.09 | 0.71 | 1.24 | 1.23 | 0.98 |
time (sec) |
N/A | 0.425 | 0.127 | 0.125 | 0.212 | 0.271 | 0.269 | 0.472 | 1.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 45 | 73 | 160 | 48 | 82 | 79 | 62 |
N.S. |
1 | 1.00 | 0.70 | 1.14 | 2.50 | 0.75 | 1.28 | 1.23 | 0.97 |
time (sec) |
N/A | 0.313 | 0.106 | 0.085 | 0.208 | 0.270 | 0.217 | 0.503 | 1.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 37 | 68 | 30 | 46 | 46 | 35 |
N.S. |
1 | 1.00 | 0.96 | 1.32 | 2.43 | 1.07 | 1.64 | 1.64 | 1.25 |
time (sec) |
N/A | 0.246 | 0.057 | 0.063 | 0.209 | 0.244 | 0.165 | 0.610 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 39 | 52 | 97 | 54 | 39 | 47 | 0 |
N.S. |
1 | 1.00 | 1.39 | 1.86 | 3.46 | 1.93 | 1.39 | 1.68 | 0.00 |
time (sec) |
N/A | 0.324 | 0.060 | 0.111 | 0.270 | 0.259 | 1.478 | 0.493 | 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 | 47 | 47 | 59 | 75 | 82 | 76 | 0 | 72 | 0 |
N.S. |
1 | 1.00 | 1.26 | 1.60 | 1.74 | 1.62 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.404 | 0.137 | 0.116 | 0.286 | 0.246 | 0.000 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 78 | 137 | 66 | 116 | 0 | 134 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.56 | 0.75 | 1.32 | 0.00 | 1.52 | 0.00 |
time (sec) |
N/A | 0.467 | 0.156 | 0.115 | 0.251 | 0.250 | 0.000 | 0.575 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 110 | 204 | 78 | 143 | 0 | 199 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.55 | 0.59 | 1.08 | 0.00 | 1.51 | 0.00 |
time (sec) |
N/A | 0.550 | 0.226 | 0.131 | 0.255 | 0.240 | 0.000 | 0.374 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 140 | 269 | 82 | 161 | 0 | 266 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.62 | 0.49 | 0.97 | 0.00 | 1.60 | 0.00 |
time (sec) |
N/A | 0.595 | 0.266 | 0.143 | 0.279 | 0.252 | 0.000 | 0.311 | 0.000 |
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 | 184 | 184 | 100 | 134 | 329 | 127 | 228 | 236 | 168 |
N.S. |
1 | 1.00 | 0.54 | 0.73 | 1.79 | 0.69 | 1.24 | 1.28 | 0.91 |
time (sec) |
N/A | 0.575 | 0.150 | 0.301 | 0.197 | 0.251 | 0.340 | 0.341 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 87 | 108 | 275 | 95 | 172 | 171 | 125 |
N.S. |
1 | 1.00 | 0.65 | 0.81 | 2.05 | 0.71 | 1.28 | 1.28 | 0.93 |
time (sec) |
N/A | 0.439 | 0.127 | 0.218 | 0.193 | 0.253 | 0.261 | 0.282 | 1.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 59 | 56 | 77 | 135 | 64 | 112 | 112 | 82 |
N.S. |
1 | 1.20 | 1.14 | 1.57 | 2.76 | 1.31 | 2.29 | 2.29 | 1.67 |
time (sec) |
N/A | 0.347 | 0.095 | 0.180 | 0.190 | 0.246 | 0.205 | 0.289 | 1.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 51 | 121 | 175 | 94 | 73 | 113 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.95 | 2.82 | 1.52 | 1.18 | 1.82 | 0.00 |
time (sec) |
N/A | 0.364 | 0.162 | 0.217 | 0.276 | 0.252 | 1.662 | 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 | 70 | 70 | 62 | 124 | 136 | 122 | 0 | 119 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.77 | 1.94 | 1.74 | 0.00 | 1.70 | 0.00 |
time (sec) |
N/A | 0.436 | 0.171 | 0.192 | 0.286 | 0.255 | 0.000 | 0.275 | 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 | 121 | 121 | 93 | 186 | 126 | 153 | 0 | 181 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.54 | 1.04 | 1.26 | 0.00 | 1.50 | 0.00 |
time (sec) |
N/A | 0.562 | 0.255 | 0.237 | 0.303 | 0.245 | 0.000 | 0.280 | 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 | 172 | 172 | 154 | 292 | 117 | 194 | 0 | 285 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.70 | 0.68 | 1.13 | 0.00 | 1.66 | 0.00 |
time (sec) |
N/A | 0.637 | 0.290 | 0.229 | 0.290 | 0.259 | 0.000 | 0.275 | 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 | 248 | 248 | 206 | 400 | 128 | 231 | 0 | 395 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.61 | 0.52 | 0.93 | 0.00 | 1.59 | 0.00 |
time (sec) |
N/A | 0.737 | 0.338 | 0.206 | 0.295 | 0.243 | 0.000 | 0.269 | 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 | 219 | 219 | 159 | 442 | 437 | 236 | 0 | 407 | 0 |
N.S. |
1 | 1.00 | 0.73 | 2.02 | 2.00 | 1.08 | 0.00 | 1.86 | 0.00 |
time (sec) |
N/A | 0.694 | 0.402 | 0.313 | 0.263 | 0.250 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 118 | 292 | 328 | 190 | 0 | 256 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.95 | 2.19 | 1.27 | 0.00 | 1.71 | 0.00 |
time (sec) |
N/A | 0.558 | 0.271 | 0.239 | 0.259 | 0.258 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 89 | 184 | 233 | 156 | 0 | 148 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.84 | 2.33 | 1.56 | 0.00 | 1.48 | 0.00 |
time (sec) |
N/A | 0.469 | 0.190 | 0.223 | 0.234 | 0.252 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 64 | 114 | 156 | 118 | 0 | 83 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.68 | 2.29 | 1.74 | 0.00 | 1.22 | 0.00 |
time (sec) |
N/A | 0.370 | 0.089 | 0.185 | 0.232 | 0.252 | 0.000 | 0.293 | 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 | 51 | 51 | 49 | 81 | 57 | 95 | 0 | 56 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.59 | 1.12 | 1.86 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.384 | 0.060 | 0.157 | 0.218 | 0.255 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 63 | 108 | 155 | 123 | 0 | 75 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.48 | 2.12 | 1.68 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.478 | 0.095 | 0.230 | 0.257 | 0.252 | 0.000 | 0.355 | 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 | 113 | 113 | 101 | 155 | 192 | 179 | 0 | 129 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.37 | 1.70 | 1.58 | 0.00 | 1.14 | 0.00 |
time (sec) |
N/A | 0.572 | 0.257 | 0.251 | 0.304 | 0.249 | 0.000 | 0.265 | 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 | 190 | 190 | 178 | 281 | 242 | 275 | 0 | 248 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.48 | 1.27 | 1.45 | 0.00 | 1.31 | 0.00 |
time (sec) |
N/A | 0.730 | 0.314 | 0.265 | 0.322 | 0.257 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 173 | 669 | 406 | 371 | 0 | 2979 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.90 | 1.76 | 1.61 | 0.00 | 12.90 | 0.00 |
time (sec) |
N/A | 0.774 | 0.767 | 0.287 | 0.294 | 0.262 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 156 | 549 | 312 | 333 | 0 | 1991 | 0 |
N.S. |
1 | 1.00 | 0.86 | 3.02 | 1.71 | 1.83 | 0.00 | 10.94 | 0.00 |
time (sec) |
N/A | 0.677 | 0.591 | 0.204 | 0.276 | 0.255 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 115 | 436 | 236 | 274 | 0 | 1308 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.97 | 1.61 | 1.86 | 0.00 | 8.90 | 0.00 |
time (sec) |
N/A | 0.620 | 0.493 | 0.242 | 0.270 | 0.266 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 97 | 294 | 178 | 200 | 0 | 994 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.35 | 1.42 | 1.60 | 0.00 | 7.95 | 0.00 |
time (sec) |
N/A | 0.534 | 0.318 | 0.197 | 0.263 | 0.254 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 84 | 65 | 132 | 81 | 149 | 0 | 615 | 0 |
N.S. |
1 | 1.18 | 0.92 | 1.86 | 1.14 | 2.10 | 0.00 | 8.66 | 0.00 |
time (sec) |
N/A | 0.518 | 0.155 | 0.234 | 0.241 | 0.247 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 139 | 254 | 227 | 270 | 0 | 1329 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.69 | 1.51 | 1.80 | 0.00 | 8.86 | 0.00 |
time (sec) |
N/A | 0.653 | 0.862 | 0.265 | 0.309 | 0.252 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 183 | 312 | 0 | 377 | 0 | 3353 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.68 | 0.00 | 2.03 | 0.00 | 18.03 | 0.00 |
time (sec) |
N/A | 0.750 | 0.916 | 0.239 | 0.000 | 0.264 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 236 | 1055 | 0 | 566 | 0 | 879 | 0 |
N.S. |
1 | 1.00 | 0.89 | 4.00 | 0.00 | 2.14 | 0.00 | 3.33 | 0.00 |
time (sec) |
N/A | 0.889 | 0.627 | 0.357 | 0.000 | 0.256 | 0.000 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 153 | 917 | 0 | 475 | 0 | 741 | 0 |
N.S. |
1 | 1.00 | 0.63 | 3.80 | 0.00 | 1.97 | 0.00 | 3.07 | 0.00 |
time (sec) |
N/A | 0.818 | 0.648 | 0.277 | 0.000 | 0.277 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 158 | 435 | 0 | 373 | 0 | 529 | 0 |
N.S. |
1 | 1.00 | 0.89 | 2.44 | 0.00 | 2.10 | 0.00 | 2.97 | 0.00 |
time (sec) |
N/A | 0.606 | 0.417 | 0.263 | 0.000 | 0.253 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | A | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 111 | 88 | 276 | 95 | 253 | 0 | 298 | 0 |
N.S. |
1 | 1.07 | 0.85 | 2.65 | 0.91 | 2.43 | 0.00 | 2.87 | 0.00 |
time (sec) |
N/A | 0.617 | 0.363 | 0.219 | 0.221 | 0.244 | 0.000 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 451 | 488 | 0 | 601 | 0 | 837 | 0 |
N.S. |
1 | 1.00 | 1.72 | 1.86 | 0.00 | 2.29 | 0.00 | 3.19 | 0.00 |
time (sec) |
N/A | 0.868 | 0.875 | 0.325 | 0.000 | 0.295 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 541 | 643 | 0 | 762 | 0 | 1006 | 0 |
N.S. |
1 | 1.00 | 1.82 | 2.16 | 0.00 | 2.56 | 0.00 | 3.38 | 0.00 |
time (sec) |
N/A | 0.992 | 0.995 | 0.364 | 0.000 | 0.260 | 0.000 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 627 | 760 | 0 | 892 | 0 | 1169 | 0 |
N.S. |
1 | 1.00 | 1.66 | 2.02 | 0.00 | 2.37 | 0.00 | 3.10 | 0.00 |
time (sec) |
N/A | 1.136 | 1.150 | 0.353 | 0.000 | 0.267 | 0.000 | 0.275 | 0.000 |
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 | 139 | 139 | 92 | 135 | 250 | 95 | 168 | 174 | 116 |
N.S. |
1 | 1.00 | 0.66 | 0.97 | 1.80 | 0.68 | 1.21 | 1.25 | 0.83 |
time (sec) |
N/A | 0.459 | 0.127 | 0.119 | 0.187 | 0.258 | 0.423 | 0.266 | 0.168 |
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 | 109 | 109 | 74 | 117 | 214 | 78 | 134 | 138 | 93 |
N.S. |
1 | 1.00 | 0.68 | 1.07 | 1.96 | 0.72 | 1.23 | 1.27 | 0.85 |
time (sec) |
N/A | 0.391 | 0.079 | 0.111 | 0.190 | 0.254 | 0.357 | 0.258 | 1.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 57 | 86 | 213 | 60 | 99 | 101 | 70 |
N.S. |
1 | 1.00 | 0.72 | 1.09 | 2.70 | 0.76 | 1.25 | 1.28 | 0.89 |
time (sec) |
N/A | 0.308 | 0.061 | 0.081 | 0.187 | 0.251 | 0.249 | 0.263 | 1.683 |
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 | 51 | 51 | 40 | 63 | 86 | 42 | 65 | 70 | 47 |
N.S. |
1 | 1.00 | 0.78 | 1.24 | 1.69 | 0.82 | 1.27 | 1.37 | 0.92 |
time (sec) |
N/A | 0.243 | 0.039 | 0.070 | 0.183 | 0.247 | 0.189 | 0.272 | 1.658 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 55 | 81 | 122 | 73 | 49 | 76 | 0 |
N.S. |
1 | 1.00 | 1.34 | 1.98 | 2.98 | 1.78 | 1.20 | 1.85 | 0.00 |
time (sec) |
N/A | 0.278 | 0.069 | 0.080 | 0.232 | 0.245 | 1.653 | 0.274 | 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 | 42 | 42 | 42 | 83 | 80 | 82 | 0 | 80 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.98 | 1.90 | 1.95 | 0.00 | 1.90 | 0.00 |
time (sec) |
N/A | 0.284 | 0.051 | 0.084 | 0.230 | 0.244 | 0.000 | 0.265 | 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 | 74 | 74 | 80 | 112 | 90 | 107 | 0 | 109 | 0 |
N.S. |
1 | 1.00 | 1.08 | 1.51 | 1.22 | 1.45 | 0.00 | 1.47 | 0.00 |
time (sec) |
N/A | 0.358 | 0.101 | 0.090 | 0.265 | 0.248 | 0.000 | 0.264 | 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 | 105 | 105 | 95 | 175 | 73 | 127 | 0 | 170 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.67 | 0.70 | 1.21 | 0.00 | 1.62 | 0.00 |
time (sec) |
N/A | 0.428 | 0.141 | 0.104 | 0.254 | 0.249 | 0.000 | 0.274 | 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 | 149 | 149 | 127 | 240 | 76 | 152 | 0 | 237 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.61 | 0.51 | 1.02 | 0.00 | 1.59 | 0.00 |
time (sec) |
N/A | 0.502 | 0.167 | 0.101 | 0.243 | 0.260 | 0.000 | 0.265 | 0.000 |
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 | 234 | 234 | 138 | 202 | 383 | 155 | 286 | 304 | 182 |
N.S. |
1 | 1.00 | 0.59 | 0.86 | 1.64 | 0.66 | 1.22 | 1.30 | 0.78 |
time (sec) |
N/A | 0.627 | 0.207 | 0.263 | 0.191 | 0.242 | 0.572 | 0.268 | 1.786 |
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 | 184 | 184 | 113 | 155 | 353 | 126 | 226 | 239 | 148 |
N.S. |
1 | 1.00 | 0.61 | 0.84 | 1.92 | 0.68 | 1.23 | 1.30 | 0.80 |
time (sec) |
N/A | 0.518 | 0.143 | 0.240 | 0.190 | 0.250 | 0.440 | 0.267 | 1.731 |
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 | 136 | 136 | 85 | 117 | 189 | 98 | 172 | 180 | 114 |
N.S. |
1 | 1.00 | 0.62 | 0.86 | 1.39 | 0.72 | 1.26 | 1.32 | 0.84 |
time (sec) |
N/A | 0.399 | 0.122 | 0.231 | 0.198 | 0.269 | 0.342 | 0.271 | 0.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 82 | 226 | 235 | 130 | 121 | 222 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.05 | 2.14 | 1.18 | 1.10 | 2.02 | 0.00 |
time (sec) |
N/A | 0.389 | 0.279 | 0.216 | 0.260 | 0.252 | 1.842 | 0.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 95 | 200 | 179 | 127 | 0 | 197 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.11 | 1.88 | 1.34 | 0.00 | 2.07 | 0.00 |
time (sec) |
N/A | 0.377 | 0.194 | 0.263 | 0.256 | 0.251 | 0.000 | 0.269 | 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 | 114 | 114 | 97 | 209 | 165 | 164 | 0 | 206 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.83 | 1.45 | 1.44 | 0.00 | 1.81 | 0.00 |
time (sec) |
N/A | 0.422 | 0.266 | 0.225 | 0.282 | 0.251 | 0.000 | 0.274 | 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 | 133 | 133 | 114 | 241 | 135 | 171 | 0 | 236 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.81 | 1.02 | 1.29 | 0.00 | 1.77 | 0.00 |
time (sec) |
N/A | 0.457 | 0.268 | 0.255 | 0.262 | 0.249 | 0.000 | 0.264 | 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 | 175 | 175 | 124 | 299 | 139 | 194 | 0 | 294 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.71 | 0.79 | 1.11 | 0.00 | 1.68 | 0.00 |
time (sec) |
N/A | 0.554 | 0.341 | 0.238 | 0.278 | 0.239 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 276 | 369 | 0 | 605 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.35 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.884 | 1.079 | 0.327 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 209 | 268 | 0 | 502 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.28 | 0.00 | 2.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.614 | 1.395 | 0.217 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 221 | 259 | 0 | 496 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.15 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.328 | 0.244 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 155 | 200 | 0 | 219 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.13 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.203 | 0.179 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 166 | 212 | 0 | 316 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.00 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.504 | 0.318 | 0.261 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 173 | 227 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.15 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.619 | 0.288 | 0.256 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 243 | 288 | 0 | 599 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.16 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.723 | 0.693 | 0.220 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 232 | 330 | 0 | 583 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.22 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.776 | 0.801 | 0.285 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 449 | 476 | 307 | 1038 | 0 | 1179 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.68 | 2.31 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.469 | 2.265 | 0.425 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 431 | 441 | 290 | 903 | 0 | 931 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.67 | 2.10 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.232 | 1.460 | 0.304 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 416 | 429 | 287 | 901 | 0 | 1162 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.69 | 2.17 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.152 | 2.067 | 0.254 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 244 | 236 | 449 | 0 | 641 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.99 | 1.88 | 0.00 | 2.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.613 | 0.817 | 0.228 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 476 | 293 | 503 | 0 | 1162 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.06 | 0.00 | 2.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.186 | 1.591 | 0.273 | 0.000 | 0.352 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 415 | 546 | 0 | 992 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.26 | 0.00 | 2.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.181 | 0.840 | 0.277 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 500 | 500 | 334 | 595 | 0 | 1310 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.19 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.604 | 2.145 | 0.322 | 0.000 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 714 | 332 | 1547 | 0 | 1620 | 0 | 0 | 0 |
N.S. |
1 | 1.50 | 0.70 | 3.25 | 0.00 | 3.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.295 | 1.057 | 0.549 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 746 | 759 | 380 | 2172 | 0 | 2047 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.51 | 2.91 | 0.00 | 2.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.155 | 2.734 | 0.358 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 512 | 507 | 325 | 1503 | 0 | 1607 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.63 | 2.94 | 0.00 | 3.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.225 | 1.017 | 0.307 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 856 | 856 | 392 | 1064 | 0 | 2116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.46 | 1.24 | 0.00 | 2.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.791 | 2.868 | 0.285 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 730 | 730 | 674 | 1090 | 0 | 2076 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.49 | 0.00 | 2.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.172 | 1.601 | 0.379 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 874 | 874 | 613 | 1178 | 0 | 2346 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.35 | 0.00 | 2.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.118 | 3.867 | 0.465 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 791 | 791 | 438 | 1294 | 0 | 2363 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 1.64 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.388 | 1.845 | 0.488 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 100 | 153 | 268 | 105 | 185 | 192 | 152 |
N.S. |
1 | 1.00 | 0.65 | 0.99 | 1.74 | 0.68 | 1.20 | 1.25 | 0.99 |
time (sec) |
N/A | 0.504 | 0.136 | 0.122 | 0.180 | 0.247 | 0.559 | 0.264 | 1.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 84 | 129 | 267 | 87 | 151 | 156 | 122 |
N.S. |
1 | 1.00 | 0.68 | 1.04 | 2.15 | 0.70 | 1.22 | 1.26 | 0.98 |
time (sec) |
N/A | 0.445 | 0.096 | 0.107 | 0.208 | 0.248 | 0.431 | 0.258 | 1.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 66 | 104 | 196 | 68 | 116 | 119 | 92 |
N.S. |
1 | 1.00 | 0.70 | 1.11 | 2.09 | 0.72 | 1.23 | 1.27 | 0.98 |
time (sec) |
N/A | 0.356 | 0.073 | 0.099 | 0.200 | 0.253 | 0.324 | 0.256 | 1.578 |
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 | 66 | 66 | 49 | 81 | 104 | 53 | 82 | 88 | 65 |
N.S. |
1 | 1.00 | 0.74 | 1.23 | 1.58 | 0.80 | 1.24 | 1.33 | 0.98 |
time (sec) |
N/A | 0.295 | 0.055 | 0.072 | 0.174 | 0.240 | 0.245 | 0.257 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 49 | 113 | 140 | 86 | 66 | 109 | 0 |
N.S. |
1 | 1.00 | 0.88 | 2.02 | 2.50 | 1.54 | 1.18 | 1.95 | 0.00 |
time (sec) |
N/A | 0.318 | 0.112 | 0.066 | 0.233 | 0.256 | 1.666 | 0.258 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 55 | 114 | 102 | 90 | 0 | 111 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.07 | 1.85 | 1.64 | 0.00 | 2.02 | 0.00 |
time (sec) |
N/A | 0.310 | 0.082 | 0.085 | 0.227 | 0.242 | 0.000 | 0.261 | 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 | 69 | 69 | 86 | 119 | 87 | 101 | 0 | 118 | 0 |
N.S. |
1 | 1.00 | 1.25 | 1.72 | 1.26 | 1.46 | 0.00 | 1.71 | 0.00 |
time (sec) |
N/A | 0.320 | 0.091 | 0.083 | 0.225 | 0.258 | 0.000 | 0.260 | 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 | 91 | 91 | 73 | 146 | 95 | 118 | 0 | 141 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.60 | 1.04 | 1.30 | 0.00 | 1.55 | 0.00 |
time (sec) |
N/A | 0.402 | 0.162 | 0.080 | 0.273 | 0.241 | 0.000 | 0.263 | 0.000 |
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 | 234 | 234 | 139 | 206 | 383 | 161 | 284 | 303 | 301 |
N.S. |
1 | 1.00 | 0.59 | 0.88 | 1.64 | 0.69 | 1.21 | 1.29 | 1.29 |
time (sec) |
N/A | 0.646 | 0.201 | 0.322 | 0.216 | 0.263 | 0.794 | 0.256 | 0.361 |
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 | 186 | 186 | 111 | 159 | 243 | 130 | 226 | 244 | 182 |
N.S. |
1 | 1.00 | 0.60 | 0.85 | 1.31 | 0.70 | 1.22 | 1.31 | 0.98 |
time (sec) |
N/A | 0.531 | 0.135 | 0.236 | 0.205 | 0.244 | 0.589 | 0.265 | 0.244 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 108 | 303 | 289 | 161 | 168 | 331 | 0 |
N.S. |
1 | 1.00 | 0.68 | 1.89 | 1.81 | 1.01 | 1.05 | 2.07 | 0.00 |
time (sec) |
N/A | 0.511 | 0.315 | 0.236 | 0.263 | 0.244 | 2.392 | 0.266 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 143 | 306 | 235 | 160 | 0 | 308 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.14 | 1.64 | 1.12 | 0.00 | 2.15 | 0.00 |
time (sec) |
N/A | 0.487 | 0.259 | 0.247 | 0.261 | 0.242 | 0.000 | 0.264 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 136 | 281 | 203 | 161 | 0 | 280 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.99 | 1.44 | 1.14 | 0.00 | 1.99 | 0.00 |
time (sec) |
N/A | 0.457 | 0.249 | 0.275 | 0.238 | 0.256 | 0.000 | 0.263 | 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 | 150 | 150 | 135 | 284 | 188 | 187 | 0 | 279 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.89 | 1.25 | 1.25 | 0.00 | 1.86 | 0.00 |
time (sec) |
N/A | 0.490 | 0.403 | 0.310 | 0.285 | 0.253 | 0.000 | 0.253 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 150 | 322 | 154 | 196 | 0 | 315 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.93 | 0.92 | 1.17 | 0.00 | 1.89 | 0.00 |
time (sec) |
N/A | 0.515 | 0.403 | 0.347 | 0.276 | 0.263 | 0.000 | 0.264 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 213 | 925 | 0 | 989 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 2.48 | 0.00 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.109 | 0.152 | 0.308 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 198 | 671 | 0 | 977 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 1.87 | 0.00 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.954 | 0.109 | 0.205 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 170 | 423 | 0 | 500 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.49 | 0.00 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 5.045 | 0.188 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 180 | 280 | 0 | 671 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 0.81 | 0.00 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 5.052 | 0.234 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 180 | 143 | 0 | 673 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 0.41 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.705 | 5.049 | 0.186 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 303 | 303 | 186 | 138 | 0 | 530 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.46 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.751 | 0.151 | 0.272 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 215 | 175 | 0 | 1154 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.46 | 0.00 | 3.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.879 | 0.211 | 0.254 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |