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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 32 | 31 | 98 | 124 | 31 | 32 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.74 | 2.33 | 2.95 | 0.74 | 0.76 |
time (sec) |
N/A | 0.162 | 0.018 | 2.136 | 0.275 | 0.271 | 0.124 | 0.280 | 9.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 79 | 63 | 69 | 76 | 135 | 0 | 80 | 230 |
N.S. |
1 | 0.92 | 0.73 | 0.80 | 0.88 | 1.57 | 0.00 | 0.93 | 2.67 |
time (sec) |
N/A | 0.198 | 0.038 | 2.293 | 0.278 | 0.292 | 0.000 | 0.275 | 10.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 137 | 113 | 104 | 167 | 350 | 0 | 193 | 452 |
N.S. |
1 | 1.11 | 0.92 | 0.85 | 1.36 | 2.85 | 0.00 | 1.57 | 3.67 |
time (sec) |
N/A | 0.291 | 0.085 | 2.307 | 0.290 | 0.386 | 0.000 | 0.271 | 10.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 189 | 140 | 160 | 323 | 853 | 0 | 282 | 745 |
N.S. |
1 | 1.07 | 0.80 | 0.91 | 1.84 | 4.85 | 0.00 | 1.60 | 4.23 |
time (sec) |
N/A | 0.359 | 0.278 | 2.322 | 0.294 | 0.838 | 0.000 | 0.294 | 10.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 183 | 164 | 183 | 181 | 561 | 515 | 184 | 191 |
N.S. |
1 | 0.96 | 0.86 | 0.96 | 0.95 | 2.95 | 2.71 | 0.97 | 1.01 |
time (sec) |
N/A | 0.359 | 0.123 | 2.312 | 0.283 | 0.308 | 1.157 | 0.286 | 0.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 143 | 137 | 137 | 140 | 433 | 403 | 137 | 131 |
N.S. |
1 | 0.96 | 0.92 | 0.92 | 0.94 | 2.91 | 2.70 | 0.92 | 0.88 |
time (sec) |
N/A | 0.307 | 0.086 | 2.203 | 0.276 | 0.481 | 0.774 | 0.292 | 9.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 107 | 107 | 107 | 108 | 311 | 298 | 107 | 143 |
N.S. |
1 | 0.98 | 0.98 | 0.98 | 0.99 | 2.85 | 2.73 | 0.98 | 1.31 |
time (sec) |
N/A | 0.262 | 0.079 | 2.232 | 0.273 | 0.420 | 0.536 | 0.276 | 9.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 77 | 74 | 73 | 223 | 129 | 70 | 68 |
N.S. |
1 | 1.00 | 1.07 | 1.03 | 1.01 | 3.10 | 1.79 | 0.97 | 0.94 |
time (sec) |
N/A | 0.179 | 0.063 | 2.186 | 0.278 | 0.429 | 0.290 | 0.283 | 9.396 |
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 | 57 | 57 | 57 | 49 | 48 | 140 | 90 | 47 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.84 | 2.46 | 1.58 | 0.82 | 0.77 |
time (sec) |
N/A | 0.164 | 0.033 | 2.438 | 0.287 | 0.373 | 0.148 | 0.295 | 9.585 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 161 | 138 | 138 | 189 | 441 | 0 | 201 | 609 |
N.S. |
1 | 1.13 | 0.97 | 0.97 | 1.33 | 3.11 | 0.00 | 1.42 | 4.29 |
time (sec) |
N/A | 0.320 | 0.097 | 2.365 | 0.280 | 0.594 | 0.000 | 0.424 | 10.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 219 | 162 | 181 | 394 | 1111 | 0 | 402 | 819 |
N.S. |
1 | 1.07 | 0.79 | 0.88 | 1.92 | 5.42 | 0.00 | 1.96 | 4.00 |
time (sec) |
N/A | 0.402 | 0.196 | 2.298 | 0.295 | 1.468 | 0.000 | 0.374 | 10.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 210 | 199 | 215 | 236 | 707 | 520 | 217 | 467 |
N.S. |
1 | 1.06 | 1.01 | 1.09 | 1.19 | 3.57 | 2.63 | 1.10 | 2.36 |
time (sec) |
N/A | 0.401 | 0.146 | 2.199 | 0.281 | 0.281 | 2.084 | 0.378 | 9.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 129 | 148 | 164 | 182 | 554 | 328 | 168 | 197 |
N.S. |
1 | 1.08 | 1.23 | 1.37 | 1.52 | 4.62 | 2.73 | 1.40 | 1.64 |
time (sec) |
N/A | 0.221 | 0.112 | 2.121 | 0.284 | 0.278 | 1.118 | 0.329 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 105 | 127 | 119 | 144 | 406 | 272 | 128 | 125 |
N.S. |
1 | 1.07 | 1.30 | 1.21 | 1.47 | 4.14 | 2.78 | 1.31 | 1.28 |
time (sec) |
N/A | 0.204 | 0.112 | 2.170 | 0.301 | 0.472 | 0.663 | 0.330 | 0.128 |
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 | 113 | 121 | 101 | 95 | 113 | 359 | 172 | 97 | 101 |
N.S. |
1 | 1.07 | 0.89 | 0.84 | 1.00 | 3.18 | 1.52 | 0.86 | 0.89 |
time (sec) |
N/A | 0.227 | 0.073 | 2.198 | 0.290 | 0.502 | 0.417 | 0.299 | 9.452 |
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 | 75 | 82 | 71 | 70 | 74 | 212 | 124 | 60 | 64 |
N.S. |
1 | 1.09 | 0.95 | 0.93 | 0.99 | 2.83 | 1.65 | 0.80 | 0.85 |
time (sec) |
N/A | 0.182 | 0.056 | 2.133 | 0.299 | 0.456 | 0.241 | 0.322 | 9.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 256 | 180 | 243 | 386 | 1020 | 0 | 361 | 987 |
N.S. |
1 | 1.21 | 0.85 | 1.15 | 1.82 | 4.81 | 0.00 | 1.70 | 4.66 |
time (sec) |
N/A | 0.466 | 0.142 | 2.341 | 0.289 | 2.266 | 0.000 | 0.321 | 10.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 300 | 339 | 241 | 311 | 749 | 2322 | 0 | 598 | 1296 |
N.S. |
1 | 1.13 | 0.80 | 1.04 | 2.50 | 7.74 | 0.00 | 1.99 | 4.32 |
time (sec) |
N/A | 0.589 | 0.353 | 2.868 | 0.291 | 7.712 | 0.000 | 0.304 | 10.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 162 | 197 | 198 | 235 | 746 | 413 | 214 | 263 |
N.S. |
1 | 1.05 | 1.27 | 1.28 | 1.52 | 4.81 | 2.66 | 1.38 | 1.70 |
time (sec) |
N/A | 0.260 | 0.150 | 2.447 | 0.273 | 0.642 | 1.898 | 0.306 | 9.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 179 | 155 | 146 | 188 | 560 | 320 | 159 | 163 |
N.S. |
1 | 1.15 | 0.99 | 0.94 | 1.21 | 3.59 | 2.05 | 1.02 | 1.04 |
time (sec) |
N/A | 0.307 | 0.156 | 2.203 | 0.269 | 0.295 | 0.940 | 0.301 | 0.139 |
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 | 145 | 146 | 127 | 116 | 151 | 490 | 214 | 126 | 132 |
N.S. |
1 | 1.01 | 0.88 | 0.80 | 1.04 | 3.38 | 1.48 | 0.87 | 0.91 |
time (sec) |
N/A | 0.236 | 0.101 | 2.129 | 0.274 | 0.276 | 0.548 | 0.297 | 9.460 |
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 | 93 | 107 | 83 | 91 | 97 | 282 | 150 | 72 | 87 |
N.S. |
1 | 1.15 | 0.89 | 0.98 | 1.04 | 3.03 | 1.61 | 0.77 | 0.94 |
time (sec) |
N/A | 0.196 | 0.050 | 2.098 | 0.280 | 0.269 | 0.293 | 0.272 | 0.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 295 | 360 | 265 | 390 | 655 | 1784 | 0 | 562 | 1470 |
N.S. |
1 | 1.22 | 0.90 | 1.32 | 2.22 | 6.05 | 0.00 | 1.91 | 4.98 |
time (sec) |
N/A | 0.647 | 0.227 | 2.276 | 0.300 | 12.852 | 0.000 | 0.285 | 10.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 430 | 490 | 336 | 473 | 1215 | 3843 | 0 | 906 | 1876 |
N.S. |
1 | 1.14 | 0.78 | 1.10 | 2.83 | 8.94 | 0.00 | 2.11 | 4.36 |
time (sec) |
N/A | 0.829 | 0.399 | 2.384 | 0.334 | 27.061 | 0.000 | 0.298 | 11.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 211 | 176 | 181 | 238 | 400 | 270 | 205 | 0 |
N.S. |
1 | 1.02 | 0.85 | 0.87 | 1.15 | 1.93 | 1.30 | 0.99 | 0.00 |
time (sec) |
N/A | 0.355 | 0.645 | 2.212 | 0.184 | 0.307 | 0.520 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 151 | 131 | 132 | 149 | 286 | 192 | 148 | 0 |
N.S. |
1 | 1.05 | 0.91 | 0.92 | 1.03 | 1.99 | 1.33 | 1.03 | 0.00 |
time (sec) |
N/A | 0.267 | 0.477 | 2.182 | 0.191 | 0.289 | 0.512 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 110 | 99 | 87 | 107 | 214 | 139 | 97 | 0 |
N.S. |
1 | 0.92 | 0.83 | 0.73 | 0.90 | 1.80 | 1.17 | 0.82 | 0.00 |
time (sec) |
N/A | 0.215 | 0.337 | 2.371 | 0.196 | 0.312 | 0.468 | 0.290 | 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 | 67 | 68 | 68 | 54 | 45 | 128 | 90 | 55 | 52 |
N.S. |
1 | 1.01 | 1.01 | 0.81 | 0.67 | 1.91 | 1.34 | 0.82 | 0.78 |
time (sec) |
N/A | 0.178 | 0.225 | 2.501 | 0.187 | 0.543 | 0.363 | 0.291 | 9.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 108 | 110 | 184 | 0 | 574 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.07 | 1.79 | 0.00 | 5.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.374 | 2.177 | 0.000 | 0.622 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 115 | 119 | 536 | 0 | 884 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.08 | 4.87 | 0.00 | 8.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 0.739 | 2.138 | 0.000 | 0.581 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 110 | 900 | 0 | 519 | 0 | 316 | 0 |
N.S. |
1 | 1.00 | 1.07 | 8.74 | 0.00 | 5.04 | 0.00 | 3.07 | 0.00 |
time (sec) |
N/A | 0.215 | 0.923 | 2.175 | 0.000 | 0.577 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 156 | 173 | 988 | 0 | 861 | 0 | 529 | 0 |
N.S. |
1 | 1.08 | 1.20 | 6.86 | 0.00 | 5.98 | 0.00 | 3.67 | 0.00 |
time (sec) |
N/A | 0.266 | 10.195 | 2.181 | 0.000 | 0.512 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 223 | 248 | 1991 | 0 | 1485 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.20 | 9.67 | 0.00 | 7.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 10.249 | 2.306 | 0.000 | 1.502 | 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 | 255 | 233 | 230 | 256 | 300 | 544 | 518 | 287 | 0 |
N.S. |
1 | 0.91 | 0.90 | 1.00 | 1.18 | 2.13 | 2.03 | 1.13 | 0.00 |
time (sec) |
N/A | 0.381 | 0.758 | 2.207 | 0.196 | 0.319 | 0.619 | 0.275 | 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 | 180 | 173 | 173 | 189 | 190 | 402 | 366 | 217 | 0 |
N.S. |
1 | 0.96 | 0.96 | 1.05 | 1.06 | 2.23 | 2.03 | 1.21 | 0.00 |
time (sec) |
N/A | 0.280 | 0.681 | 2.258 | 0.191 | 0.301 | 0.592 | 0.273 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 132 | 131 | 128 | 146 | 296 | 236 | 143 | 0 |
N.S. |
1 | 0.86 | 0.85 | 0.83 | 0.95 | 1.92 | 1.53 | 0.93 | 0.00 |
time (sec) |
N/A | 0.233 | 0.521 | 2.301 | 0.197 | 0.297 | 0.537 | 0.276 | 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 | 87 | 90 | 87 | 70 | 61 | 176 | 119 | 76 | 54 |
N.S. |
1 | 1.03 | 1.00 | 0.80 | 0.70 | 2.02 | 1.37 | 0.87 | 0.62 |
time (sec) |
N/A | 0.195 | 0.360 | 2.391 | 0.200 | 0.313 | 0.399 | 0.279 | 9.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 170 | 155 | 240 | 0 | 774 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.97 | 1.51 | 0.00 | 4.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.361 | 0.681 | 2.009 | 0.000 | 1.621 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 164 | 161 | 447 | 0 | 888 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.05 | 2.92 | 0.00 | 5.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 0.909 | 1.985 | 0.000 | 0.496 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 168 | 162 | 884 | 0 | 1545 | 0 | 349 | 0 |
N.S. |
1 | 1.04 | 1.01 | 5.49 | 0.00 | 9.60 | 0.00 | 2.17 | 0.00 |
time (sec) |
N/A | 0.298 | 1.266 | 2.039 | 0.000 | 0.602 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 234 | 210 | 2446 | 0 | 2513 | 0 | 604 | 0 |
N.S. |
1 | 1.17 | 1.05 | 12.23 | 0.00 | 12.56 | 0.00 | 3.02 | 0.00 |
time (sec) |
N/A | 0.368 | 2.491 | 2.054 | 0.000 | 4.002 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 167 | 723 | 4020 | 0 | 1123 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 4.73 | 26.27 | 0.00 | 7.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 7.523 | 2.192 | 0.000 | 1.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 220 | 253 | 4108 | 0 | 1647 | 0 | 1283 | 0 |
N.S. |
1 | 1.13 | 1.30 | 21.07 | 0.00 | 8.45 | 0.00 | 6.58 | 0.00 |
time (sec) |
N/A | 0.317 | 3.800 | 2.131 | 0.000 | 3.343 | 0.000 | 0.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 287 | 358 | 8231 | 0 | 2485 | 0 | 1875 | 0 |
N.S. |
1 | 1.07 | 1.33 | 30.60 | 0.00 | 9.24 | 0.00 | 6.97 | 0.00 |
time (sec) |
N/A | 0.368 | 10.650 | 2.196 | 0.000 | 7.900 | 0.000 | 0.356 | 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 | 307 | 256 | 283 | 332 | 364 | 692 | 858 | 372 | 0 |
N.S. |
1 | 0.83 | 0.92 | 1.08 | 1.19 | 2.25 | 2.79 | 1.21 | 0.00 |
time (sec) |
N/A | 0.375 | 0.954 | 2.112 | 0.205 | 0.317 | 0.716 | 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 | 216 | 195 | 215 | 223 | 230 | 518 | 617 | 286 | 0 |
N.S. |
1 | 0.90 | 1.00 | 1.03 | 1.06 | 2.40 | 2.86 | 1.32 | 0.00 |
time (sec) |
N/A | 0.299 | 0.802 | 2.455 | 0.212 | 0.287 | 0.650 | 0.298 | 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 | 189 | 154 | 161 | 169 | 185 | 380 | 371 | 191 | 0 |
N.S. |
1 | 0.81 | 0.85 | 0.89 | 0.98 | 2.01 | 1.96 | 1.01 | 0.00 |
time (sec) |
N/A | 0.247 | 0.611 | 1.957 | 0.195 | 0.311 | 0.613 | 0.290 | 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 | 107 | 112 | 107 | 86 | 77 | 224 | 150 | 101 | 54 |
N.S. |
1 | 1.05 | 1.00 | 0.80 | 0.72 | 2.09 | 1.40 | 0.94 | 0.50 |
time (sec) |
N/A | 0.208 | 0.473 | 1.890 | 0.196 | 0.293 | 0.485 | 0.282 | 9.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 245 | 221 | 333 | 0 | 1176 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.47 | 0.00 | 5.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 0.914 | 2.226 | 0.000 | 42.165 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 237 | 229 | 530 | 0 | 1372 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.05 | 2.42 | 0.00 | 6.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 1.143 | 2.008 | 0.000 | 8.792 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 222 | 229 | 968 | 0 | 1553 | 0 | 537 | 0 |
N.S. |
1 | 1.04 | 1.08 | 4.54 | 0.00 | 7.29 | 0.00 | 2.52 | 0.00 |
time (sec) |
N/A | 0.406 | 1.663 | 2.107 | 0.000 | 1.934 | 0.000 | 0.609 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 235 | 228 | 1727 | 0 | 2501 | 0 | 590 | 0 |
N.S. |
1 | 1.06 | 1.03 | 7.78 | 0.00 | 11.27 | 0.00 | 2.66 | 0.00 |
time (sec) |
N/A | 0.388 | 2.665 | 2.146 | 0.000 | 2.257 | 0.000 | 0.647 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 311 | 946 | 3031 | 0 | 3733 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 3.30 | 10.56 | 0.00 | 13.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.488 | 10.109 | 2.347 | 0.000 | 7.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 369 | 359 | 9762 | 0 | 5169 | 0 | 1432 | 0 |
N.S. |
1 | 1.18 | 1.14 | 31.09 | 0.00 | 16.46 | 0.00 | 4.56 | 0.00 |
time (sec) |
N/A | 0.540 | 10.526 | 2.385 | 0.000 | 60.384 | 0.000 | 0.508 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 231 | 305 | 15868 | 0 | 1929 | 0 | 1953 | 0 |
N.S. |
1 | 1.14 | 1.50 | 78.17 | 0.00 | 9.50 | 0.00 | 9.62 | 0.00 |
time (sec) |
N/A | 0.320 | 10.502 | 2.792 | 0.000 | 8.670 | 0.000 | 0.337 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 284 | 403 | 15956 | 0 | 2593 | 0 | 2428 | 0 |
N.S. |
1 | 1.15 | 1.64 | 64.86 | 0.00 | 10.54 | 0.00 | 9.87 | 0.00 |
time (sec) |
N/A | 0.365 | 10.534 | 2.735 | 0.000 | 18.313 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 351 | 489 | 31927 | 0 | 3693 | 0 | 3216 | 0 |
N.S. |
1 | 1.06 | 1.47 | 96.17 | 0.00 | 11.12 | 0.00 | 9.69 | 0.00 |
time (sec) |
N/A | 0.435 | 10.954 | 3.095 | 0.000 | 35.333 | 0.000 | 0.393 | 0.000 |
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 | 56 | 61 | 60 | 50 | 53 | 62 | 0 | 71 | 49 |
N.S. |
1 | 1.09 | 1.07 | 0.89 | 0.95 | 1.11 | 0.00 | 1.27 | 0.88 |
time (sec) |
N/A | 0.193 | 0.211 | 1.982 | 0.276 | 0.263 | 0.000 | 0.268 | 9.480 |
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 | 67 | 79 | 68 | 56 | 54 | 75 | 0 | 105 | 48 |
N.S. |
1 | 1.18 | 1.01 | 0.84 | 0.81 | 1.12 | 0.00 | 1.57 | 0.72 |
time (sec) |
N/A | 0.207 | 0.262 | 1.973 | 0.272 | 0.272 | 0.000 | 0.289 | 0.169 |
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 | 55 | 63 | 61 | 44 | 47 | 50 | 66 | 43 | 44 |
N.S. |
1 | 1.15 | 1.11 | 0.80 | 0.85 | 0.91 | 1.20 | 0.78 | 0.80 |
time (sec) |
N/A | 0.175 | 0.405 | 1.926 | 0.276 | 0.258 | 0.087 | 0.262 | 0.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 185 | 127 | 113 | 176 | 270 | 167 | 139 | 0 |
N.S. |
1 | 1.15 | 0.79 | 0.70 | 1.09 | 1.68 | 1.04 | 0.86 | 0.00 |
time (sec) |
N/A | 0.327 | 0.477 | 2.036 | 0.201 | 0.306 | 0.496 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 127 | 91 | 80 | 111 | 180 | 128 | 93 | 0 |
N.S. |
1 | 1.15 | 0.83 | 0.73 | 1.01 | 1.64 | 1.16 | 0.85 | 0.00 |
time (sec) |
N/A | 0.248 | 0.416 | 2.142 | 0.196 | 0.292 | 0.471 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 69 | 57 | 69 | 138 | 99 | 64 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.66 | 0.80 | 1.60 | 1.15 | 0.74 | 0.00 |
time (sec) |
N/A | 0.201 | 0.309 | 1.939 | 0.190 | 0.273 | 0.441 | 0.264 | 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 | 43 | 43 | 46 | 37 | 29 | 92 | 71 | 39 | 36 |
N.S. |
1 | 1.00 | 1.07 | 0.86 | 0.67 | 2.14 | 1.65 | 0.91 | 0.84 |
time (sec) |
N/A | 0.167 | 0.192 | 2.114 | 0.207 | 0.295 | 0.324 | 0.267 | 9.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 64 | 127 | 60 | 211 | 0 | 60 | 0 |
N.S. |
1 | 1.00 | 1.19 | 2.35 | 1.11 | 3.91 | 0.00 | 1.11 | 0.00 |
time (sec) |
N/A | 0.170 | 0.268 | 2.239 | 0.193 | 0.279 | 0.000 | 0.266 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 101 | 215 | 0 | 381 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 2.36 | 0.00 | 4.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.556 | 1.950 | 0.000 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 158 | 132 | 444 | 0 | 713 | 0 | 351 | 0 |
N.S. |
1 | 1.09 | 0.91 | 3.06 | 0.00 | 4.92 | 0.00 | 2.42 | 0.00 |
time (sec) |
N/A | 0.271 | 0.975 | 2.016 | 0.000 | 0.426 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 227 | 209 | 762 | 0 | 1139 | 0 | 593 | 0 |
N.S. |
1 | 1.15 | 1.06 | 3.85 | 0.00 | 5.75 | 0.00 | 2.99 | 0.00 |
time (sec) |
N/A | 0.364 | 10.200 | 2.112 | 0.000 | 0.624 | 0.000 | 0.284 | 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 | 162 | 179 | 126 | 156 | 174 | 368 | 0 | 144 | 0 |
N.S. |
1 | 1.10 | 0.78 | 0.96 | 1.07 | 2.27 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.316 | 0.598 | 2.054 | 0.195 | 0.281 | 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 | 106 | 123 | 90 | 112 | 110 | 246 | 0 | 103 | 0 |
N.S. |
1 | 1.16 | 0.85 | 1.06 | 1.04 | 2.32 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.238 | 0.470 | 2.025 | 0.206 | 0.301 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 84 | 69 | 75 | 68 | 201 | 0 | 70 | 75 |
N.S. |
1 | 1.01 | 0.83 | 0.90 | 0.82 | 2.42 | 0.00 | 0.84 | 0.90 |
time (sec) |
N/A | 0.206 | 0.414 | 1.939 | 0.201 | 0.286 | 0.000 | 0.267 | 9.599 |
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 | 28 | 28 | 27 | 27 | 31 | 35 | 46 | 23 | 24 |
N.S. |
1 | 1.00 | 0.96 | 0.96 | 1.11 | 1.25 | 1.64 | 0.82 | 0.86 |
time (sec) |
N/A | 0.149 | 0.295 | 1.868 | 0.239 | 0.274 | 1.913 | 0.271 | 9.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 104 | 315 | 131 | 456 | 0 | 180 | 0 |
N.S. |
1 | 1.00 | 1.11 | 3.35 | 1.39 | 4.85 | 0.00 | 1.91 | 0.00 |
time (sec) |
N/A | 0.219 | 0.542 | 2.433 | 0.200 | 0.330 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 165 | 149 | 515 | 292 | 900 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.99 | 3.41 | 1.93 | 5.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.874 | 2.232 | 0.221 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 245 | 240 | 933 | 646 | 1558 | 0 | 680 | 0 |
N.S. |
1 | 1.10 | 1.08 | 4.18 | 2.90 | 6.99 | 0.00 | 3.05 | 0.00 |
time (sec) |
N/A | 0.398 | 10.455 | 2.041 | 0.232 | 0.610 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 327 | 279 | 1551 | 1195 | 2226 | 0 | 1075 | 0 |
N.S. |
1 | 1.12 | 0.95 | 5.29 | 4.08 | 7.60 | 0.00 | 3.67 | 0.00 |
time (sec) |
N/A | 0.514 | 10.692 | 2.230 | 0.251 | 1.139 | 0.000 | 0.354 | 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 | 191 | 219 | 179 | 281 | 281 | 488 | 0 | 207 | 0 |
N.S. |
1 | 1.15 | 0.94 | 1.47 | 1.47 | 2.55 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.375 | 1.004 | 2.363 | 0.206 | 0.290 | 0.000 | 0.288 | 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 | 161 | 174 | 130 | 217 | 213 | 401 | 0 | 155 | 0 |
N.S. |
1 | 1.08 | 0.81 | 1.35 | 1.32 | 2.49 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.313 | 0.937 | 2.200 | 0.200 | 0.296 | 0.000 | 0.300 | 0.000 |
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 | 79 | 79 | 78 | 83 | 133 | 107 | 0 | 90 | 82 |
N.S. |
1 | 1.00 | 0.99 | 1.05 | 1.68 | 1.35 | 0.00 | 1.14 | 1.04 |
time (sec) |
N/A | 0.190 | 0.694 | 2.328 | 0.213 | 0.272 | 0.000 | 0.287 | 9.118 |
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 | 58 | 58 | 57 | 55 | 92 | 75 | 0 | 55 | 68 |
N.S. |
1 | 1.00 | 0.98 | 0.95 | 1.59 | 1.29 | 0.00 | 0.95 | 1.17 |
time (sec) |
N/A | 0.172 | 0.560 | 2.195 | 0.196 | 0.286 | 0.000 | 0.287 | 9.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 43 | 39 | 48 | 62 | 146 | 37 | 41 |
N.S. |
1 | 1.00 | 0.84 | 0.76 | 0.94 | 1.22 | 2.86 | 0.73 | 0.80 |
time (sec) |
N/A | 0.160 | 0.432 | 2.110 | 0.191 | 0.277 | 3.836 | 0.279 | 9.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 173 | 163 | 601 | 291 | 858 | 0 | 998 | 0 |
N.S. |
1 | 1.12 | 1.06 | 3.90 | 1.89 | 5.57 | 0.00 | 6.48 | 0.00 |
time (sec) |
N/A | 0.307 | 0.937 | 2.347 | 0.216 | 0.371 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 280 | 247 | 899 | 571 | 1678 | 0 | 1180 | 0 |
N.S. |
1 | 1.15 | 1.01 | 3.68 | 2.34 | 6.88 | 0.00 | 4.84 | 0.00 |
time (sec) |
N/A | 0.455 | 1.605 | 2.516 | 0.250 | 0.538 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 327 | 374 | 296 | 1603 | 1192 | 2628 | 0 | 2179 | 0 |
N.S. |
1 | 1.14 | 0.91 | 4.90 | 3.65 | 8.04 | 0.00 | 6.66 | 0.00 |
time (sec) |
N/A | 0.577 | 10.952 | 2.188 | 0.281 | 1.183 | 0.000 | 0.409 | 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 | 18 | 18 | 34 | 17 | 16 | 30 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.89 | 0.94 | 0.89 | 1.67 | 0.67 | 0.89 | 0.89 |
time (sec) |
N/A | 0.146 | 0.125 | 2.175 | 0.274 | 0.266 | 0.063 | 0.274 | 0.036 |
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 | 20 | 20 | 34 | 17 | 16 | 30 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.70 | 0.85 | 0.80 | 1.50 | 0.60 | 0.80 | 0.80 |
time (sec) |
N/A | 0.149 | 0.125 | 2.130 | 0.272 | 0.280 | 0.068 | 0.286 | 0.033 |
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 | 18 | 18 | 26 | 15 | 14 | 22 | 14 | 22 | 14 |
N.S. |
1 | 1.00 | 1.44 | 0.83 | 0.78 | 1.22 | 0.78 | 1.22 | 0.78 |
time (sec) |
N/A | 0.145 | 0.101 | 2.067 | 0.278 | 0.254 | 0.068 | 0.275 | 9.343 |
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 | 54 | 54 | 52 | 38 | 42 | 49 | 42 | 35 | 35 |
N.S. |
1 | 1.00 | 0.96 | 0.70 | 0.78 | 0.91 | 0.78 | 0.65 | 0.65 |
time (sec) |
N/A | 0.179 | 0.274 | 2.227 | 0.275 | 0.278 | 0.090 | 0.282 | 0.036 |
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 | 52 | 52 | 49 | 31 | 38 | 45 | 42 | 45 | 32 |
N.S. |
1 | 1.00 | 0.94 | 0.60 | 0.73 | 0.87 | 0.81 | 0.87 | 0.62 |
time (sec) |
N/A | 0.172 | 0.225 | 2.137 | 0.277 | 0.256 | 0.088 | 0.269 | 0.033 |
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 | 18 | 18 | 16 | 13 | 20 | 25 | 20 | 12 | 12 |
N.S. |
1 | 1.00 | 0.89 | 0.72 | 1.11 | 1.39 | 1.11 | 0.67 | 0.67 |
time (sec) |
N/A | 0.143 | 0.140 | 2.090 | 0.193 | 0.265 | 1.600 | 0.277 | 9.216 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 44 | 41 | 47 | 108 | 218 | 357 | 44 |
N.S. |
1 | 1.00 | 0.70 | 0.65 | 0.75 | 1.71 | 3.46 | 5.67 | 0.70 |
time (sec) |
N/A | 0.196 | 0.063 | 2.183 | 0.192 | 0.264 | 0.371 | 0.281 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 44 | 41 | 47 | 85 | 76 | 229 | 44 |
N.S. |
1 | 1.00 | 0.70 | 0.65 | 0.75 | 1.35 | 1.21 | 3.63 | 0.70 |
time (sec) |
N/A | 0.191 | 0.057 | 2.486 | 0.193 | 0.273 | 0.547 | 0.269 | 9.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 44 | 40 | 47 | 62 | 76 | 127 | 44 |
N.S. |
1 | 1.00 | 0.70 | 0.63 | 0.75 | 0.98 | 1.21 | 2.02 | 0.70 |
time (sec) |
N/A | 0.189 | 0.048 | 2.051 | 0.189 | 0.284 | 0.481 | 0.271 | 0.052 |
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 | 61 | 61 | 44 | 40 | 53 | 40 | 70 | 53 | 44 |
N.S. |
1 | 1.00 | 0.72 | 0.66 | 0.87 | 0.66 | 1.15 | 0.87 | 0.72 |
time (sec) |
N/A | 0.191 | 0.049 | 1.898 | 0.195 | 0.261 | 0.375 | 0.273 | 0.050 |
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 | 59 | 59 | 43 | 39 | 54 | 49 | 75 | 56 | 44 |
N.S. |
1 | 1.00 | 0.73 | 0.66 | 0.92 | 0.83 | 1.27 | 0.95 | 0.75 |
time (sec) |
N/A | 0.191 | 0.053 | 1.930 | 0.203 | 0.271 | 0.624 | 0.280 | 0.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 46 | 38 | 52 | 61 | 168 | 48 | 44 |
N.S. |
1 | 1.00 | 0.78 | 0.64 | 0.88 | 1.03 | 2.85 | 0.81 | 0.75 |
time (sec) |
N/A | 0.194 | 0.057 | 1.892 | 0.191 | 0.270 | 0.330 | 0.275 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 44 | 38 | 44 | 72 | 252 | 44 | 44 |
N.S. |
1 | 1.00 | 0.72 | 0.62 | 0.72 | 1.18 | 4.13 | 0.72 | 0.72 |
time (sec) |
N/A | 0.192 | 0.057 | 1.901 | 0.200 | 0.492 | 0.483 | 0.273 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 96 | 88 | 113 | 218 | 177 | 704 | 114 |
N.S. |
1 | 1.00 | 0.76 | 0.69 | 0.89 | 1.72 | 1.39 | 5.54 | 0.90 |
time (sec) |
N/A | 0.250 | 0.096 | 2.072 | 0.204 | 0.488 | 0.765 | 0.286 | 9.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 97 | 88 | 113 | 181 | 177 | 471 | 114 |
N.S. |
1 | 1.00 | 0.76 | 0.69 | 0.89 | 1.43 | 1.39 | 3.71 | 0.90 |
time (sec) |
N/A | 0.249 | 0.091 | 1.935 | 0.201 | 0.386 | 0.673 | 0.284 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 96 | 88 | 113 | 143 | 177 | 274 | 114 |
N.S. |
1 | 1.00 | 0.76 | 0.69 | 0.89 | 1.13 | 1.39 | 2.16 | 0.90 |
time (sec) |
N/A | 0.248 | 0.083 | 2.069 | 0.188 | 0.527 | 0.627 | 0.264 | 0.042 |