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 | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 468 | 1146 | 0 | 638 | 0 | 1428 | 0 |
N.S. |
1 | 1.00 | 1.35 | 3.31 | 0.00 | 1.84 | 0.00 | 4.13 | 0.00 |
time (sec) |
N/A | 0.663 | 0.269 | 0.516 | 0.000 | 0.324 | 0.000 | 0.337 | 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 | 320 | 320 | 292 | 682 | 0 | 377 | 0 | 831 | 0 |
N.S. |
1 | 1.00 | 0.91 | 2.13 | 0.00 | 1.18 | 0.00 | 2.60 | 0.00 |
time (sec) |
N/A | 0.608 | 0.161 | 0.364 | 0.000 | 0.331 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 170 | 356 | 0 | 197 | 0 | 425 | 306 |
N.S. |
1 | 1.00 | 0.67 | 1.40 | 0.00 | 0.77 | 0.00 | 1.67 | 1.20 |
time (sec) |
N/A | 0.519 | 0.103 | 0.321 | 0.000 | 0.307 | 0.000 | 0.437 | 0.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 91 | 150 | 0 | 83 | 0 | 172 | 153 |
N.S. |
1 | 1.00 | 0.73 | 1.20 | 0.00 | 0.66 | 0.00 | 1.38 | 1.22 |
time (sec) |
N/A | 0.344 | 0.055 | 0.106 | 0.000 | 0.285 | 0.000 | 0.288 | 0.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 42 | 0 | 35 | 0 | 50 | 44 |
N.S. |
1 | 1.00 | 1.00 | 1.14 | 0.00 | 0.95 | 0.00 | 1.35 | 1.19 |
time (sec) |
N/A | 0.224 | 0.011 | 0.027 | 0.000 | 0.314 | 0.000 | 0.310 | 0.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 56 | 65 | 0 | 71 | 0 | 483 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.05 | 0.00 | 1.15 | 0.00 | 7.79 | 0.00 |
time (sec) |
N/A | 0.524 | 0.044 | 0.328 | 0.000 | 0.288 | 0.000 | 0.571 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 111 | 105 | 97 | 0 | 154 | 0 | 330 | 0 |
N.S. |
1 | 1.04 | 0.98 | 0.91 | 0.00 | 1.44 | 0.00 | 3.08 | 0.00 |
time (sec) |
N/A | 0.818 | 0.102 | 0.325 | 0.000 | 0.271 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 234 | 0 | 240 | 0 | 517 | 0 | 1733 | 0 |
N.S. |
1 | 0.98 | 0.00 | 1.00 | 0.00 | 2.15 | 0.00 | 7.22 | 0.00 |
time (sec) |
N/A | 1.232 | 0.000 | 0.375 | 0.000 | 0.287 | 0.000 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 243 | 553 | 0 | 311 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.72 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.611 | 0.185 | 0.415 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 176 | 313 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.46 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.118 | 0.324 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 85 | 140 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.26 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 0.088 | 0.086 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 50 | 48 | 0 | 63 | 0 | 0 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.00 | 1.26 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.246 | 0.017 | 0.056 | 0.000 | 0.286 | 0.000 | 0.000 | 0.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 31 | 26 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.63 | 1.37 | 1.05 | 1.05 |
time (sec) |
N/A | 0.171 | 0.027 | 0.041 | 0.348 | 0.293 | 123.030 | 0.338 | 0.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 42 | 27 | 1 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.21 | 1.42 | 0.05 | 1.05 |
time (sec) |
N/A | 0.240 | 0.161 | 0.044 | 0.287 | 0.288 | 16.221 | 0.350 | 0.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 53 | 1 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.79 | 0.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.238 | 0.052 | 0.060 | 0.301 | 0.287 | 0.000 | 0.333 | 1.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 195 | 0 | 0 | 349 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 0.103 | 0.000 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 136 | 0 | 0 | 259 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 0.056 | 0.000 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 85 | 0 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.057 | 0.000 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 0 | 0 | 89 | 0 | 0 | 61 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.22 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.165 | 0.005 | 0.000 | 0.000 | 0.117 | 0.000 | 0.000 | 0.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 42 | 1 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.21 | 0.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.174 | 0.023 | 0.043 | 0.323 | 0.316 | 0.000 | 0.348 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 53 | 1 | 1 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.79 | 0.05 | 0.05 | 1.05 |
time (sec) |
N/A | 0.228 | 0.214 | 0.045 | 0.357 | 0.350 | 0.000 | 0.631 | 0.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 102 | 436 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 4.19 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.707 | 0.210 | 0.375 | 0.000 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 179 | 0 | 582 | 0 | 220 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.00 | 3.66 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.237 | 0.000 | 0.532 | 0.000 | 0.325 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 366 | 355 | 0 | 2019 | 0 | 755 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.00 | 5.52 | 0.00 | 2.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.085 | 0.000 | 0.734 | 0.000 | 0.366 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 634 | 612 | 0 | 4680 | 0 | 2250 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.00 | 7.38 | 0.00 | 3.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 7.904 | 0.000 | 1.229 | 0.000 | 0.427 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 295 | 122 | 218 | 201 | 114 | 0 | 137 | 153 |
N.S. |
1 | 1.36 | 0.56 | 1.00 | 0.93 | 0.53 | 0.00 | 0.63 | 0.71 |
time (sec) |
N/A | 0.870 | 0.219 | 0.051 | 0.323 | 0.348 | 0.000 | 0.349 | 0.553 |
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 | 164 | 170 | 104 | 163 | 166 | 95 | 0 | 108 | 111 |
N.S. |
1 | 1.04 | 0.63 | 0.99 | 1.01 | 0.58 | 0.00 | 0.66 | 0.68 |
time (sec) |
N/A | 0.457 | 0.179 | 0.039 | 0.321 | 0.363 | 0.000 | 0.346 | 0.405 |
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 | 81 | 81 | 81 | 79 | 107 | 73 | 0 | 80 | 71 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 1.32 | 0.90 | 0.00 | 0.99 | 0.88 |
time (sec) |
N/A | 0.248 | 0.102 | 0.026 | 0.310 | 0.328 | 0.000 | 0.328 | 0.331 |
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 | 56 | 56 | 50 | 50 | 55 | 0 | 50 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.89 | 0.98 | 0.00 | 0.89 | 0.88 |
time (sec) |
N/A | 0.194 | 0.033 | 0.027 | 0.210 | 0.342 | 0.000 | 0.385 | 0.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.174 | 0.163 | 0.006 | 0.271 | 0.336 | 0.335 | 0.429 | 0.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.352 | 0.342 | 0.006 | 0.274 | 0.355 | 0.286 | 0.379 | 0.309 |
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 | 181 | 242 | 91 | 154 | 181 | 89 | 0 | 104 | 112 |
N.S. |
1 | 1.34 | 0.50 | 0.85 | 1.00 | 0.49 | 0.00 | 0.57 | 0.62 |
time (sec) |
N/A | 0.795 | 0.268 | 0.065 | 0.331 | 0.324 | 0.000 | 0.335 | 0.299 |
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 | 134 | 140 | 79 | 111 | 151 | 72 | 0 | 80 | 80 |
N.S. |
1 | 1.04 | 0.59 | 0.83 | 1.13 | 0.54 | 0.00 | 0.60 | 0.60 |
time (sec) |
N/A | 0.427 | 0.182 | 0.036 | 0.332 | 0.335 | 0.000 | 0.317 | 0.211 |
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 | 66 | 66 | 68 | 53 | 98 | 57 | 0 | 58 | 58 |
N.S. |
1 | 1.00 | 1.03 | 0.80 | 1.48 | 0.86 | 0.00 | 0.88 | 0.88 |
time (sec) |
N/A | 0.237 | 0.101 | 0.023 | 0.279 | 0.351 | 0.000 | 0.333 | 0.149 |
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 | 44 | 44 | 46 | 34 | 32 | 36 | 41 | 38 | 40 |
N.S. |
1 | 1.00 | 1.05 | 0.77 | 0.73 | 0.82 | 0.93 | 0.86 | 0.91 |
time (sec) |
N/A | 0.187 | 0.033 | 0.013 | 0.210 | 0.290 | 0.285 | 0.316 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 17 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.00 | 1.06 | 1.06 |
time (sec) |
N/A | 0.174 | 0.170 | 0.007 | 0.289 | 0.313 | 2.411 | 0.308 | 0.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.351 | 0.325 | 0.007 | 0.273 | 0.306 | 2.059 | 0.321 | 0.269 |
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 | 297 | 392 | 191 | 368 | 267 | 212 | 0 | 250 | 230 |
N.S. |
1 | 1.32 | 0.64 | 1.24 | 0.90 | 0.71 | 0.00 | 0.84 | 0.77 |
time (sec) |
N/A | 1.651 | 0.507 | 0.080 | 0.339 | 0.339 | 0.000 | 0.305 | 0.570 |
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 | 216 | 225 | 144 | 212 | 221 | 148 | 0 | 152 | 150 |
N.S. |
1 | 1.04 | 0.67 | 0.98 | 1.02 | 0.69 | 0.00 | 0.70 | 0.69 |
time (sec) |
N/A | 0.788 | 0.329 | 0.049 | 0.368 | 0.334 | 0.000 | 0.334 | 0.296 |
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 | 107 | 107 | 116 | 102 | 143 | 107 | 0 | 104 | 95 |
N.S. |
1 | 1.00 | 1.08 | 0.95 | 1.34 | 1.00 | 0.00 | 0.97 | 0.89 |
time (sec) |
N/A | 0.348 | 0.147 | 0.024 | 0.338 | 0.309 | 0.000 | 0.349 | 0.375 |
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 | 68 | 68 | 68 | 57 | 58 | 74 | 0 | 68 | 60 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.85 | 1.09 | 0.00 | 1.00 | 0.88 |
time (sec) |
N/A | 0.223 | 0.025 | 0.013 | 0.245 | 0.349 | 0.000 | 0.414 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 26 | 29 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.53 | 1.71 | 1.06 | 1.06 |
time (sec) |
N/A | 0.284 | 0.299 | 0.010 | 0.326 | 0.325 | 6.761 | 0.324 | 0.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 26 | 31 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.53 | 1.82 | 1.06 | 1.06 |
time (sec) |
N/A | 0.719 | 0.603 | 0.012 | 0.297 | 0.323 | 9.045 | 0.333 | 0.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 345 | 169 | 550 | 539 | 204 | 0 | 240 | 251 |
N.S. |
1 | 1.30 | 0.64 | 2.07 | 2.03 | 0.77 | 0.00 | 0.90 | 0.94 |
time (sec) |
N/A | 0.960 | 0.437 | 0.296 | 0.445 | 0.356 | 0.000 | 0.334 | 0.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 195 | 123 | 307 | 332 | 130 | 0 | 143 | 153 |
N.S. |
1 | 1.03 | 0.65 | 1.62 | 1.76 | 0.69 | 0.00 | 0.76 | 0.81 |
time (sec) |
N/A | 0.496 | 0.314 | 0.364 | 0.351 | 0.352 | 0.000 | 0.311 | 0.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 96 | 131 | 160 | 83 | 0 | 89 | 80 |
N.S. |
1 | 1.00 | 1.07 | 1.46 | 1.78 | 0.92 | 0.00 | 0.99 | 0.89 |
time (sec) |
N/A | 0.254 | 0.202 | 0.037 | 0.305 | 0.362 | 0.000 | 0.328 | 0.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 22 | 22 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.179 | 0.326 | 0.023 | 0.291 | 0.299 | 0.336 | 0.307 | 0.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 22 | 33 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.65 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.418 | 0.696 | 0.027 | 0.283 | 0.294 | 0.541 | 0.437 | 1.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 22 | 44 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 2.20 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.633 | 0.989 | 0.023 | 0.301 | 0.330 | 0.744 | 0.329 | 3.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 31 | 45 | 539 | 41 | 85 | 798 | 44 |
N.S. |
1 | 1.00 | 0.69 | 1.00 | 11.98 | 0.91 | 1.89 | 17.73 | 0.98 |
time (sec) |
N/A | 0.236 | 0.384 | 0.244 | 0.449 | 0.329 | 0.073 | 0.333 | 0.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 86 | 99 | 332 | 74 | 0 | 88 | 92 |
N.S. |
1 | 1.00 | 1.10 | 1.27 | 4.26 | 0.95 | 0.00 | 1.13 | 1.18 |
time (sec) |
N/A | 0.261 | 0.364 | 0.366 | 0.380 | 0.337 | 0.000 | 0.331 | 0.376 |
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 | 17 | 17 | 17 | 18 | 17 | 17 | 24 | 17 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.00 | 1.41 | 1.00 | 1.00 |
time (sec) |
N/A | 0.164 | 0.069 | 0.017 | 0.206 | 0.338 | 0.055 | 0.306 | 0.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 40 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.181 | 0.286 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 96 | 101 | 0 | 85 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 1.14 | 1.20 | 0.00 | 1.01 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.267 | 0.459 | 0.372 | 0.000 | 0.311 | 0.000 | 0.000 | 0.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 79 | 88 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 1.28 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 0.406 | 0.373 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 29 | 42 | 536 | 40 | 83 | 742 | 43 |
N.S. |
1 | 1.00 | 0.67 | 0.98 | 12.47 | 0.93 | 1.93 | 17.26 | 1.00 |
time (sec) |
N/A | 0.228 | 0.153 | 0.352 | 0.503 | 0.304 | 0.080 | 0.346 | 0.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 84 | 90 | 329 | 68 | 0 | 77 | 86 |
N.S. |
1 | 1.00 | 1.12 | 1.20 | 4.39 | 0.91 | 0.00 | 1.03 | 1.15 |
time (sec) |
N/A | 0.265 | 0.135 | 0.275 | 0.333 | 0.324 | 0.000 | 0.322 | 0.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 16 | 16 | 22 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.00 | 1.00 | 1.38 | 1.00 | 1.00 |
time (sec) |
N/A | 0.166 | 0.030 | 0.026 | 0.198 | 0.355 | 0.055 | 0.276 | 0.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 33 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.048 | 0.345 | 0.000 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 94 | 87 | 0 | 79 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.16 | 1.07 | 0.00 | 0.98 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.250 | 0.137 | 0.302 | 0.000 | 0.348 | 0.000 | 0.000 | 0.429 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 77 | 74 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 1.12 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 0.133 | 0.466 | 0.000 | 0.283 | 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 | 145 | 145 | 121 | 142 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.98 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 0.360 | 0.427 | 0.000 | 0.285 | 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 | 111 | 111 | 93 | 112 | 0 | 80 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.01 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.428 | 0.187 | 0.422 | 0.000 | 0.297 | 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 | 118 | 118 | 94 | 102 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.86 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.087 | 0.430 | 0.000 | 0.311 | 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 | 100 | 100 | 83 | 100 | 0 | 72 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.119 | 0.424 | 0.000 | 0.299 | 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 | 132 | 132 | 120 | 127 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.96 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.411 | 0.138 | 0.437 | 0.000 | 0.341 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 320 | 561 | 0 | 313 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.51 | 2.65 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.730 | 0.883 | 0.629 | 0.000 | 0.347 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 163 | 363 | 0 | 241 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.15 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.562 | 0.367 | 0.437 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 127 | 169 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.22 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.383 | 0.008 | 0.433 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 153 | 350 | 0 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 2.22 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.326 | 0.431 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 217 | 561 | 0 | 267 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 3.02 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.546 | 0.890 | 0.608 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 268 | 755 | 0 | 330 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 3.25 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 0.457 | 0.556 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 27 | 27 | 33 | 30 | 25 | 41 | 0 | 26 |
N.S. |
1 | 0.90 | 0.90 | 1.10 | 1.00 | 0.83 | 1.37 | 0.00 | 0.87 |
time (sec) |
N/A | 0.199 | 0.095 | 0.048 | 0.276 | 0.360 | 0.151 | 0.000 | 0.313 |
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 | 30 | 27 | 27 | 28 | 30 | 25 | 31 | 31 | 26 |
N.S. |
1 | 0.90 | 0.90 | 0.93 | 1.00 | 0.83 | 1.03 | 1.03 | 0.87 |
time (sec) |
N/A | 0.200 | 0.001 | 0.033 | 0.186 | 0.294 | 0.077 | 0.325 | 0.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 29 | 26 | 35 | 33 | 27 | 44 | 0 | 27 |
N.S. |
1 | 0.91 | 0.81 | 1.09 | 1.03 | 0.84 | 1.38 | 0.00 | 0.84 |
time (sec) |
N/A | 0.205 | 0.111 | 0.039 | 0.261 | 0.353 | 0.166 | 0.000 | 0.291 |
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 | 32 | 29 | 26 | 30 | 33 | 27 | 34 | 34 | 27 |
N.S. |
1 | 0.91 | 0.81 | 0.94 | 1.03 | 0.84 | 1.06 | 1.06 | 0.84 |
time (sec) |
N/A | 0.206 | 0.001 | 0.033 | 0.182 | 0.310 | 0.084 | 0.333 | 0.277 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 36 | 50 | 59 | 39 | 75 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.86 | 1.02 | 0.67 | 1.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.107 | 0.043 | 0.325 | 0.309 | 0.170 | 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 | 58 | 58 | 36 | 41 | 59 | 39 | 66 | 48 | 47 |
N.S. |
1 | 1.00 | 0.62 | 0.71 | 1.02 | 0.67 | 1.14 | 0.83 | 0.81 |
time (sec) |
N/A | 0.233 | 0.001 | 0.036 | 0.198 | 0.336 | 0.101 | 0.301 | 0.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 60 | 38 | 50 | 58 | 41 | 75 | 0 | 0 |
N.S. |
1 | 1.03 | 0.66 | 0.86 | 1.00 | 0.71 | 1.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.104 | 0.037 | 0.282 | 0.331 | 0.188 | 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 | 58 | 60 | 38 | 42 | 58 | 41 | 66 | 50 | 47 |
N.S. |
1 | 1.03 | 0.66 | 0.72 | 1.00 | 0.71 | 1.14 | 0.86 | 0.81 |
time (sec) |
N/A | 0.228 | 0.001 | 0.037 | 0.197 | 0.280 | 0.099 | 0.303 | 0.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 53 | 21 | 86 | 29 | 0 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.77 | 0.70 | 2.87 | 0.97 | 0.00 | 0.73 |
time (sec) |
N/A | 0.182 | 0.040 | 0.046 | 0.284 | 0.278 | 0.197 | 0.000 | 0.309 |
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 | 30 | 30 | 30 | 22 | 21 | 86 | 24 | 21 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.73 | 0.70 | 2.87 | 0.80 | 0.70 | 0.73 |
time (sec) |
N/A | 0.181 | 0.001 | 0.046 | 0.265 | 0.326 | 0.081 | 0.291 | 0.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 49 | 45 | 86 | 29 | 0 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.63 | 1.50 | 2.87 | 0.97 | 0.00 | 0.73 |
time (sec) |
N/A | 0.181 | 0.041 | 0.042 | 0.281 | 0.366 | 0.174 | 0.000 | 0.453 |
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 | 30 | 30 | 30 | 22 | 45 | 86 | 24 | 24 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.73 | 1.50 | 2.87 | 0.80 | 0.80 | 0.73 |
time (sec) |
N/A | 0.183 | 0.002 | 0.037 | 0.287 | 0.280 | 0.088 | 0.290 | 0.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 40 | 40 | 74 | 68 | 102 | 54 | 0 | 35 |
N.S. |
1 | 0.93 | 0.93 | 1.72 | 1.58 | 2.37 | 1.26 | 0.00 | 0.81 |
time (sec) |
N/A | 0.201 | 0.042 | 0.066 | 0.286 | 0.324 | 0.259 | 0.000 | 0.295 |
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 | 40 | 40 | 36 | 39 | 102 | 39 | 38 | 35 |
N.S. |
1 | 0.93 | 0.93 | 0.84 | 0.91 | 2.37 | 0.91 | 0.88 | 0.81 |
time (sec) |
N/A | 0.203 | 0.001 | 0.066 | 0.268 | 0.315 | 0.113 | 0.469 | 0.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 40 | 40 | 70 | 88 | 103 | 54 | 0 | 35 |
N.S. |
1 | 0.93 | 0.93 | 1.63 | 2.05 | 2.40 | 1.26 | 0.00 | 0.81 |
time (sec) |
N/A | 0.199 | 0.041 | 0.047 | 0.274 | 0.296 | 0.223 | 0.000 | 0.329 |
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 | 40 | 40 | 36 | 65 | 103 | 39 | 39 | 35 |
N.S. |
1 | 0.93 | 0.93 | 0.84 | 1.51 | 2.40 | 0.91 | 0.91 | 0.81 |
time (sec) |
N/A | 0.202 | 0.001 | 0.045 | 0.266 | 0.306 | 0.120 | 0.282 | 0.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 33 | 33 | 0 | 0 | 77 | 61 | 0 | 28 |
N.S. |
1 | 1.06 | 1.06 | 0.00 | 0.00 | 2.48 | 1.97 | 0.00 | 0.90 |
time (sec) |
N/A | 0.188 | 0.060 | 0.000 | 0.000 | 0.317 | 0.416 | 0.000 | 0.455 |
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 | 31 | 33 | 33 | 29 | 22 | 77 | 61 | 31 | 28 |
N.S. |
1 | 1.06 | 1.06 | 0.94 | 0.71 | 2.48 | 1.97 | 1.00 | 0.90 |
time (sec) |
N/A | 0.196 | 0.001 | 0.019 | 0.190 | 0.323 | 0.398 | 0.325 | 0.384 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 32 | 34 | 34 | 0 | 0 | 92 | 66 | 0 | 33 |
N.S. |
1 | 1.06 | 1.06 | 0.00 | 0.00 | 2.88 | 2.06 | 0.00 | 1.03 |
time (sec) |
N/A | 0.195 | 0.080 | 0.000 | 0.000 | 0.317 | 0.434 | 0.000 | 0.484 |
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 | 32 | 34 | 34 | 29 | 22 | 92 | 66 | 36 | 33 |
N.S. |
1 | 1.06 | 1.06 | 0.91 | 0.69 | 2.88 | 2.06 | 1.12 | 1.03 |
time (sec) |
N/A | 0.195 | 0.001 | 0.018 | 0.265 | 0.354 | 0.453 | 0.322 | 0.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 35 | 40 | 19 | 30 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.46 | 1.67 | 0.79 | 1.25 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.197 | 0.055 | 0.046 | 0.318 | 0.288 | 0.000 | 0.000 | 0.278 |
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 | 24 | 24 | 35 | 40 | 24 | 30 | 0 | 29 | 24 |
N.S. |
1 | 1.00 | 1.46 | 1.67 | 1.00 | 1.25 | 0.00 | 1.21 | 1.00 |
time (sec) |
N/A | 0.189 | 0.001 | 0.046 | 0.186 | 0.298 | 0.000 | 0.278 | 0.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 38 | 44 | 21 | 32 | 0 | 0 | 25 |
N.S. |
1 | 1.00 | 1.52 | 1.76 | 0.84 | 1.28 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.192 | 0.052 | 0.037 | 0.309 | 0.289 | 0.000 | 0.000 | 0.268 |
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 | 25 | 25 | 38 | 44 | 25 | 32 | 0 | 33 | 25 |
N.S. |
1 | 1.00 | 1.52 | 1.76 | 1.00 | 1.28 | 0.00 | 1.32 | 1.00 |
time (sec) |
N/A | 0.191 | 0.001 | 0.035 | 0.229 | 0.297 | 0.000 | 0.294 | 0.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 41 | 29 | 29 | 68 | 27 | 56 | 0 | 28 |
N.S. |
1 | 0.93 | 0.66 | 0.66 | 1.55 | 0.61 | 1.27 | 0.00 | 0.64 |
time (sec) |
N/A | 0.202 | 0.062 | 0.017 | 0.259 | 0.302 | 0.327 | 0.000 | 0.345 |
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 | 44 | 41 | 29 | 29 | 38 | 27 | 58 | 31 | 28 |
N.S. |
1 | 0.93 | 0.66 | 0.66 | 0.86 | 0.61 | 1.32 | 0.70 | 0.64 |
time (sec) |
N/A | 0.202 | 0.001 | 0.035 | 0.184 | 0.299 | 0.313 | 0.289 | 0.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 43 | 30 | 29 | 71 | 28 | 58 | 0 | 28 |
N.S. |
1 | 0.93 | 0.65 | 0.63 | 1.54 | 0.61 | 1.26 | 0.00 | 0.61 |
time (sec) |
N/A | 0.202 | 0.062 | 0.016 | 0.275 | 0.328 | 0.325 | 0.000 | 0.335 |
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 | 46 | 43 | 30 | 29 | 40 | 28 | 60 | 33 | 28 |
N.S. |
1 | 0.93 | 0.65 | 0.63 | 0.87 | 0.61 | 1.30 | 0.72 | 0.61 |
time (sec) |
N/A | 0.200 | 0.002 | 0.035 | 0.190 | 0.304 | 0.332 | 0.330 | 0.302 |