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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.171 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 80 | 63 | 371 | 69 | 410 | 61 | 105 |
N.S. |
1 | 1.00 | 1.18 | 0.93 | 5.46 | 1.01 | 6.03 | 0.90 | 1.54 |
time (sec) |
N/A | 0.069 | 0.410 | 0.559 | 0.236 | 0.251 | 0.695 | 0.285 | 20.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 106 | 89 | 620 | 118 | 1027 | 80 | 177 |
N.S. |
1 | 1.00 | 1.20 | 1.01 | 7.05 | 1.34 | 11.67 | 0.91 | 2.01 |
time (sec) |
N/A | 0.084 | 0.855 | 0.820 | 0.248 | 0.265 | 1.525 | 0.283 | 20.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 158 | 133 | 1362 | 192 | 2003 | 129 | 469 |
N.S. |
1 | 1.00 | 1.10 | 0.92 | 9.46 | 1.33 | 13.91 | 0.90 | 3.26 |
time (sec) |
N/A | 0.130 | 1.681 | 1.634 | 0.304 | 0.254 | 5.433 | 0.290 | 22.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 600 | 600 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.951 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 91 | 90 | 789 | 115 | 932 | 89 | 494 |
N.S. |
1 | 1.00 | 0.94 | 0.93 | 8.13 | 1.19 | 9.61 | 0.92 | 5.09 |
time (sec) |
N/A | 0.097 | 0.596 | 0.767 | 0.328 | 0.252 | 2.085 | 0.277 | 22.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 153 | 127 | 1360 | 189 | 2030 | 124 | 437 |
N.S. |
1 | 1.00 | 1.11 | 0.92 | 9.86 | 1.37 | 14.71 | 0.90 | 3.17 |
time (sec) |
N/A | 0.117 | 1.740 | 1.632 | 0.307 | 0.269 | 6.366 | 0.293 | 23.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 177 | 190 | 2612 | 291 | 3584 | 181 | 997 |
N.S. |
1 | 1.00 | 0.91 | 0.97 | 13.39 | 1.49 | 18.38 | 0.93 | 5.11 |
time (sec) |
N/A | 0.160 | 1.863 | 3.316 | 0.439 | 0.269 | 18.196 | 0.286 | 26.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 181 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.667 | 2.469 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 87 | 84 | 912 | 106 | 918 | 84 | 297 |
N.S. |
1 | 1.00 | 0.96 | 0.92 | 10.02 | 1.16 | 10.09 | 0.92 | 3.26 |
time (sec) |
N/A | 0.084 | 0.678 | 0.759 | 0.254 | 0.255 | 2.118 | 0.302 | 23.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 71 | 57 | 414 | 66 | 405 | 56 | 97 |
N.S. |
1 | 1.00 | 1.15 | 0.92 | 6.68 | 1.06 | 6.53 | 0.90 | 1.56 |
time (sec) |
N/A | 0.059 | 0.884 | 0.488 | 0.241 | 0.250 | 0.766 | 0.315 | 21.926 |
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 | 43 | 43 | 43 | 40 | 40 | 42 | 155 | 40 | 85 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.93 | 0.98 | 3.60 | 0.93 | 1.98 |
time (sec) |
N/A | 0.045 | 0.258 | 0.341 | 0.228 | 0.255 | 0.348 | 0.299 | 22.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 69 | 73 | 31 | 435 | 158 | 112 |
N.S. |
1 | 1.00 | 1.00 | 2.56 | 2.70 | 1.15 | 16.11 | 5.85 | 4.15 |
time (sec) |
N/A | 0.020 | 0.295 | 1.101 | 0.239 | 0.255 | 4.323 | 0.299 | 23.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 88 | 115 | 387 | 69 | 0 | 248 | 254 |
N.S. |
1 | 1.00 | 2.59 | 3.38 | 11.38 | 2.03 | 0.00 | 7.29 | 7.47 |
time (sec) |
N/A | 0.039 | 0.144 | 1.950 | 0.422 | 0.250 | 0.000 | 0.306 | 26.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 34 | 40 | 391 | 42 | 0 | 174 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.05 | 10.29 | 1.11 | 0.00 | 4.58 | 0.00 |
time (sec) |
N/A | 0.050 | 0.204 | 2.115 | 0.238 | 0.246 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 64 | 191 | 1424 | 94 | 0 | 495 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.85 | 21.25 | 1.40 | 0.00 | 7.39 | 0.00 |
time (sec) |
N/A | 0.060 | 0.540 | 8.446 | 0.441 | 0.250 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 48 | 76 | 1074 | 53 | 0 | 327 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.29 | 18.20 | 0.90 | 0.00 | 5.54 | 0.00 |
time (sec) |
N/A | 0.057 | 0.401 | 5.163 | 0.253 | 0.278 | 0.000 | 0.318 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 78 | 259 | 3096 | 107 | 0 | 756 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.76 | 32.94 | 1.14 | 0.00 | 8.04 | 0.00 |
time (sec) |
N/A | 0.069 | 1.114 | 49.844 | 0.524 | 0.264 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 386 | 386 | 242 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.769 | 1.459 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 76 | 63 | 371 | 70 | 410 | 61 | 105 |
N.S. |
1 | 1.00 | 1.12 | 0.93 | 5.46 | 1.03 | 6.03 | 0.90 | 1.54 |
time (sec) |
N/A | 0.066 | 0.915 | 0.540 | 0.244 | 0.249 | 0.720 | 0.277 | 21.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 108 | 89 | 620 | 108 | 1027 | 80 | 177 |
N.S. |
1 | 1.00 | 1.23 | 1.01 | 7.05 | 1.23 | 11.67 | 0.91 | 2.01 |
time (sec) |
N/A | 0.082 | 0.894 | 0.841 | 0.309 | 0.259 | 1.630 | 0.285 | 22.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 158 | 133 | 1362 | 174 | 2003 | 129 | 495 |
N.S. |
1 | 1.00 | 1.10 | 0.92 | 9.46 | 1.21 | 13.91 | 0.90 | 3.44 |
time (sec) |
N/A | 0.116 | 1.767 | 1.556 | 0.329 | 0.257 | 5.685 | 0.300 | 22.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 568 | 568 | 329 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.353 | 2.602 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 90 | 90 | 785 | 116 | 932 | 89 | 471 |
N.S. |
1 | 1.00 | 0.93 | 0.93 | 8.09 | 1.20 | 9.61 | 0.92 | 4.86 |
time (sec) |
N/A | 0.084 | 0.564 | 0.723 | 0.284 | 0.258 | 2.038 | 0.289 | 21.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 153 | 127 | 1360 | 179 | 2020 | 124 | 438 |
N.S. |
1 | 1.00 | 1.11 | 0.92 | 9.86 | 1.30 | 14.64 | 0.90 | 3.17 |
time (sec) |
N/A | 0.108 | 1.952 | 1.635 | 0.308 | 0.269 | 5.640 | 0.288 | 22.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 176 | 190 | 2612 | 264 | 3577 | 181 | 951 |
N.S. |
1 | 1.00 | 0.90 | 0.97 | 13.39 | 1.35 | 18.34 | 0.93 | 4.88 |
time (sec) |
N/A | 0.162 | 1.820 | 2.969 | 0.397 | 0.275 | 17.956 | 0.290 | 25.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 58 | 70 | 106 | 30 | 333 | 482 | 115 |
N.S. |
1 | 1.00 | 2.15 | 2.59 | 3.93 | 1.11 | 12.33 | 17.85 | 4.26 |
time (sec) |
N/A | 0.020 | 0.278 | 1.086 | 0.239 | 0.257 | 4.536 | 0.332 | 0.861 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 90 | 115 | 450 | 71 | 3264 | 893 | 252 |
N.S. |
1 | 1.00 | 2.57 | 3.29 | 12.86 | 2.03 | 93.26 | 25.51 | 7.20 |
time (sec) |
N/A | 0.039 | 0.200 | 1.484 | 0.250 | 0.248 | 61.014 | 0.415 | 26.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 35 | 36 | 395 | 45 | 0 | 327 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.95 | 10.39 | 1.18 | 0.00 | 8.61 | 0.00 |
time (sec) |
N/A | 0.048 | 0.246 | 1.580 | 0.228 | 0.253 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 70 | 186 | 1027 | 376 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 2.58 | 14.26 | 5.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.087 | 0.421 | 0.273 | 0.417 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 109 | 143 | 520 | 315 | 0 | 0 | 294 |
N.S. |
1 | 1.00 | 2.48 | 3.25 | 11.82 | 7.16 | 0.00 | 0.00 | 6.68 |
time (sec) |
N/A | 0.049 | 0.115 | 0.218 | 0.430 | 0.282 | 0.000 | 0.000 | 27.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 94 | 99 | 131 | 188 | 0 | 0 | 227 |
N.S. |
1 | 1.00 | 3.24 | 3.41 | 4.52 | 6.48 | 0.00 | 0.00 | 7.83 |
time (sec) |
N/A | 0.019 | 0.058 | 0.210 | 0.386 | 0.259 | 0.000 | 0.000 | 26.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 93 | 95 | 105 | 197 | 0 | 226 | 233 |
N.S. |
1 | 1.00 | 3.21 | 3.28 | 3.62 | 6.79 | 0.00 | 7.79 | 8.03 |
time (sec) |
N/A | 0.022 | 0.092 | 0.224 | 0.260 | 0.265 | 0.000 | 0.298 | 25.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 111 | 143 | 612 | 316 | 0 | 577 | 290 |
N.S. |
1 | 1.00 | 2.41 | 3.11 | 13.30 | 6.87 | 0.00 | 12.54 | 6.30 |
time (sec) |
N/A | 0.043 | 0.149 | 0.303 | 0.309 | 0.253 | 0.000 | 0.312 | 25.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 71 | 184 | 1254 | 372 | 0 | 870 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.49 | 16.95 | 5.03 | 0.00 | 11.76 | 0.00 |
time (sec) |
N/A | 0.090 | 0.426 | 0.404 | 0.317 | 0.269 | 0.000 | 0.359 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 116 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.131 | 2.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 260 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.132 | 5.365 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 85 | 84 | 914 | 109 | 918 | 84 | 313 |
N.S. |
1 | 1.00 | 0.93 | 0.92 | 10.04 | 1.20 | 10.09 | 0.92 | 3.44 |
time (sec) |
N/A | 0.084 | 0.532 | 0.743 | 0.301 | 0.262 | 2.017 | 0.292 | 22.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 69 | 57 | 416 | 63 | 405 | 56 | 98 |
N.S. |
1 | 1.00 | 1.11 | 0.92 | 6.71 | 1.02 | 6.53 | 0.90 | 1.58 |
time (sec) |
N/A | 0.056 | 0.860 | 0.518 | 0.269 | 0.247 | 0.761 | 0.292 | 22.135 |
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 | 43 | 43 | 43 | 40 | 40 | 42 | 153 | 40 | 84 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.93 | 0.98 | 3.56 | 0.93 | 1.95 |
time (sec) |
N/A | 0.044 | 0.196 | 0.301 | 0.250 | 0.239 | 0.318 | 0.291 | 22.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 66 | 74 | 31 | 435 | 440 | 109 |
N.S. |
1 | 1.00 | 1.00 | 2.54 | 2.85 | 1.19 | 16.73 | 16.92 | 4.19 |
time (sec) |
N/A | 0.020 | 0.145 | 1.076 | 0.250 | 0.249 | 3.516 | 0.337 | 22.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 89 | 119 | 391 | 69 | 0 | 1341 | 246 |
N.S. |
1 | 1.00 | 2.54 | 3.40 | 11.17 | 1.97 | 0.00 | 38.31 | 7.03 |
time (sec) |
N/A | 0.034 | 0.120 | 2.015 | 0.398 | 0.253 | 0.000 | 0.381 | 26.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 35 | 26 | 382 | 40 | 0 | 315 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.68 | 10.05 | 1.05 | 0.00 | 8.29 | 0.00 |
time (sec) |
N/A | 0.046 | 0.233 | 2.056 | 0.256 | 0.257 | 0.000 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 158 | 133 | 1362 | 163 | 2006 | 129 | 495 |
N.S. |
1 | 1.00 | 1.10 | 0.92 | 9.46 | 1.13 | 13.93 | 0.90 | 3.44 |
time (sec) |
N/A | 0.112 | 1.683 | 1.516 | 0.311 | 0.270 | 5.658 | 0.308 | 24.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 105 | 89 | 620 | 105 | 1027 | 80 | 177 |
N.S. |
1 | 1.00 | 1.19 | 1.01 | 7.05 | 1.19 | 11.67 | 0.91 | 2.01 |
time (sec) |
N/A | 0.084 | 0.861 | 0.806 | 0.286 | 0.257 | 1.598 | 0.284 | 21.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 176 | 190 | 2614 | 240 | 3584 | 181 | 999 |
N.S. |
1 | 1.00 | 0.90 | 0.97 | 13.41 | 1.23 | 18.38 | 0.93 | 5.12 |
time (sec) |
N/A | 0.163 | 1.801 | 3.503 | 0.417 | 0.268 | 17.687 | 0.285 | 25.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 70 | 181 | 1027 | 366 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 2.51 | 14.26 | 5.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.101 | 0.449 | 0.345 | 0.389 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 111 | 149 | 526 | 316 | 0 | 0 | 285 |
N.S. |
1 | 1.00 | 2.41 | 3.24 | 11.43 | 6.87 | 0.00 | 0.00 | 6.20 |
time (sec) |
N/A | 0.052 | 0.122 | 0.260 | 0.430 | 0.271 | 0.000 | 0.000 | 26.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 93 | 97 | 131 | 196 | 0 | 0 | 237 |
N.S. |
1 | 1.00 | 3.10 | 3.23 | 4.37 | 6.53 | 0.00 | 0.00 | 7.90 |
time (sec) |
N/A | 0.020 | 0.060 | 0.207 | 0.402 | 0.271 | 0.000 | 0.000 | 25.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 94 | 93 | 105 | 190 | 0 | 234 | 231 |
N.S. |
1 | 1.00 | 3.24 | 3.21 | 3.62 | 6.55 | 0.00 | 8.07 | 7.97 |
time (sec) |
N/A | 0.022 | 0.069 | 0.241 | 0.268 | 0.259 | 0.000 | 0.324 | 26.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 112 | 145 | 613 | 316 | 0 | 627 | 289 |
N.S. |
1 | 1.00 | 2.43 | 3.15 | 13.33 | 6.87 | 0.00 | 13.63 | 6.28 |
time (sec) |
N/A | 0.053 | 0.123 | 0.292 | 0.253 | 0.278 | 0.000 | 0.326 | 27.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 71 | 179 | 1254 | 385 | 0 | 963 | 0 |
N.S. |
1 | 1.00 | 0.97 | 2.45 | 17.18 | 5.27 | 0.00 | 13.19 | 0.00 |
time (sec) |
N/A | 0.104 | 0.390 | 0.405 | 0.250 | 0.272 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.134 | 1.645 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 1.667 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |