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 | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 159 | 0 | 0 | 425 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 0.00 | 0.00 | 3.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.332 | 0.000 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
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 | 106 | 21 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 6.62 | 1.31 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.173 | 4.137 | 0.109 | 0.249 | 0.258 | 2.093 | 0.359 | 17.162 |
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 | 84 | 84 | 118 | 0 | 0 | 288 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.40 | 0.00 | 0.00 | 3.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.163 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
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 | 106 | 21 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 6.62 | 1.31 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.171 | 3.273 | 0.111 | 0.262 | 0.242 | 1.827 | 0.301 | 17.513 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 57 | 26 | 31 | 44 | 42 | 30 | 69 |
N.S. |
1 | 1.00 | 2.19 | 1.00 | 1.19 | 1.69 | 1.62 | 1.15 | 2.65 |
time (sec) |
N/A | 0.174 | 0.086 | 0.217 | 0.176 | 0.242 | 2.569 | 0.266 | 0.563 |
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 | 108 | 18 | 14 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 6.75 | 1.12 | 0.88 | 1.12 | 1.25 |
time (sec) |
N/A | 0.172 | 3.008 | 0.110 | 0.252 | 0.266 | 0.618 | 0.269 | 18.061 |
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 | 126 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 7.88 | 1.12 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.172 | 2.983 | 0.111 | 0.245 | 0.236 | 0.413 | 0.398 | 18.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 227 | 639 | 0 | 800 | 687 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.80 | 0.00 | 3.51 | 3.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.551 | 3.300 | 0.000 | 0.323 | 0.282 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 310 | 42 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 17.22 | 2.33 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.175 | 22.316 | 0.198 | 0.395 | 0.236 | 2.492 | 1.017 | 17.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 124 | 268 | 0 | 604 | 451 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.14 | 0.00 | 4.83 | 3.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 5.766 | 0.000 | 0.306 | 0.285 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 300 | 42 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 16.67 | 2.33 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.178 | 35.070 | 0.188 | 0.372 | 0.249 | 2.142 | 0.941 | 18.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 44 | 86 | 51 | 98 | 94 | 0 | 84 | 102 |
N.S. |
1 | 0.98 | 1.91 | 1.13 | 2.18 | 2.09 | 0.00 | 1.87 | 2.27 |
time (sec) |
N/A | 0.331 | 0.998 | 0.632 | 0.193 | 0.257 | 0.000 | 0.274 | 18.321 |
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 | 18 | 18 | 20 | 18 | 360 | 36 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 20.00 | 2.00 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.178 | 86.008 | 0.205 | 0.370 | 0.237 | 1.946 | 0.319 | 17.557 |
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 | 18 | 18 | 20 | 18 | 366 | 36 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 20.33 | 2.00 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.179 | 49.148 | 0.197 | 0.403 | 0.246 | 0.607 | 1.139 | 18.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 104 | 167 | 73 | 3543 | 183 | 0 | 211 | 491 |
N.S. |
1 | 1.16 | 1.86 | 0.81 | 39.37 | 2.03 | 0.00 | 2.34 | 5.46 |
time (sec) |
N/A | 0.453 | 0.108 | 0.706 | 0.276 | 0.261 | 0.000 | 0.271 | 28.546 |
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 | 396 | 397 | 319 | 0 | 0 | 1445 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.134 | 1.434 | 0.000 | 0.000 | 0.379 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 253 | 20 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 14.06 | 1.11 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.181 | 2.407 | 0.144 | 0.399 | 0.227 | 0.426 | 0.311 | 18.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 271 | 266 | 987 | 0 | 0 | 1050 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 3.64 | 0.00 | 0.00 | 3.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.805 | 5.402 | 0.000 | 0.000 | 0.358 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 253 | 20 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 14.06 | 1.11 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.179 | 4.136 | 0.119 | 0.396 | 0.234 | 0.346 | 0.313 | 18.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 74 | 66 | 73 | 0 | 261 | 0 | 84 | 163 |
N.S. |
1 | 1.17 | 1.05 | 1.16 | 0.00 | 4.14 | 0.00 | 1.33 | 2.59 |
time (sec) |
N/A | 0.336 | 0.492 | 0.322 | 0.000 | 0.279 | 0.000 | 0.274 | 1.646 |
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 | 18 | 18 | 20 | 18 | 250 | 19 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 13.89 | 1.06 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.177 | 3.330 | 0.118 | 0.376 | 0.246 | 0.709 | 0.288 | 20.828 |
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 | 16 | 16 | 18 | 16 | 126 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 7.88 | 1.12 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.170 | 0.195 | 0.010 | 0.279 | 0.237 | 0.379 | 0.399 | 0.002 |
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 | 1124 | 1123 | 2033 | 0 | 0 | 3032 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.81 | 0.00 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.530 | 10.597 | 0.000 | 0.000 | 0.472 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 1286 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 71.44 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.171 | 12.347 | 0.164 | 0.925 | 0.253 | 1.118 | 0.383 | 21.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 616 | 607 | 2566 | 0 | 0 | 1906 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 4.17 | 0.00 | 0.00 | 3.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.409 | 16.929 | 0.000 | 0.000 | 0.419 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 18 | 1265 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 70.28 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.177 | 10.240 | 0.147 | 0.808 | 0.257 | 0.956 | 0.395 | 26.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 154 | 158 | 179 | 0 | 536 | 0 | 174 | 2755 |
N.S. |
1 | 1.28 | 1.32 | 1.49 | 0.00 | 4.47 | 0.00 | 1.45 | 22.96 |
time (sec) |
N/A | 0.707 | 1.288 | 0.503 | 0.000 | 0.293 | 0.000 | 0.282 | 22.512 |
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 | 18 | 18 | 20 | 18 | 4629 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 257.17 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.178 | 18.418 | 0.147 | 5.455 | 0.252 | 1.140 | 0.733 | 18.556 |
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 | 18 | 18 | 20 | 18 | 4560 | 44 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 253.33 | 2.44 | 1.06 | 1.11 | 1.22 |
time (sec) |
N/A | 0.180 | 14.000 | 0.145 | 5.412 | 0.257 | 1.027 | 0.388 | 17.974 |
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 | 18 | 18 | 20 | 18 | 3530 | 44 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 196.11 | 2.44 | 1.06 | 1.11 | 1.22 |
time (sec) |
N/A | 0.179 | 15.641 | 0.149 | 5.369 | 0.257 | 1.092 | 1.020 | 17.759 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 432 | 432 | 445 | 0 | 1498 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.697 | 0.738 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 333 | 0 | 956 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 3.03 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.382 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 260 | 0 | 534 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 0.00 | 2.67 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.474 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 18 | 18 | 20 | 16 | 105 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 5.83 | 1.00 | 0.83 | 1.00 | 1.11 |
time (sec) |
N/A | 0.170 | 11.763 | 0.329 | 0.510 | 0.247 | 1.649 | 0.315 | 18.570 |
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 | 18 | 18 | 20 | 16 | 111 | 18 | 17 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 6.17 | 1.00 | 0.94 | 1.00 | 1.11 |
time (sec) |
N/A | 0.170 | 16.932 | 0.322 | 0.557 | 0.260 | 1.575 | 0.347 | 18.431 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 695 | 703 | 1323 | 0 | 6462 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.90 | 0.00 | 9.30 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.011 | 21.468 | 0.000 | 0.665 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 513 | 517 | 779 | 0 | 3885 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.52 | 0.00 | 7.57 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.823 | 14.591 | 0.000 | 0.451 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 333 | 337 | 449 | 0 | 1950 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.35 | 0.00 | 5.86 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 10.315 | 0.000 | 0.320 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 18 | 386 | 36 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 19.30 | 1.80 | 0.85 | 1.00 | 1.10 |
time (sec) |
N/A | 0.177 | 137.819 | 0.428 | 0.834 | 0.262 | 8.330 | 0.486 | 18.794 |
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 | 18 | 388 | 36 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 19.40 | 1.80 | 0.95 | 1.00 | 1.10 |
time (sec) |
N/A | 0.179 | 85.216 | 0.445 | 1.007 | 0.253 | 2.444 | 0.599 | 18.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1075 | 1077 | 850 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.722 | 2.077 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 807 | 809 | 644 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.373 | 1.548 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 539 | 541 | 438 | 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 | 1.171 | 1.503 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 18 | 242 | 19 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 12.10 | 0.95 | 0.85 | 1.00 | 1.10 |
time (sec) |
N/A | 0.179 | 4.542 | 0.373 | 0.783 | 0.248 | 2.060 | 0.296 | 18.210 |
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 | 18 | 18 | 20 | 16 | 111 | 18 | 17 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 6.17 | 1.00 | 0.94 | 1.00 | 1.11 |
time (sec) |
N/A | 0.173 | 0.211 | 0.003 | 0.585 | 0.256 | 1.579 | 0.358 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 3205 | 3207 | 3831 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.473 | 15.831 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 2385 | 2387 | 2829 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.346 | 14.549 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1565 | 1567 | 1752 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.633 | 15.341 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 18 | 4411 | 38 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 220.55 | 1.90 | 0.95 | 1.00 | 1.10 |
time (sec) |
N/A | 0.170 | 61.389 | 0.402 | 13.439 | 0.269 | 3.883 | 0.672 | 18.146 |
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 | 18 | 4411 | 44 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 220.55 | 2.20 | 1.00 | 1.00 | 1.10 |
time (sec) |
N/A | 0.176 | 59.362 | 0.439 | 18.932 | 0.256 | 8.921 | 0.976 | 17.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 286 | 0 | 730 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.548 | 0.000 | 0.305 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 191 | 0 | 370 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 0.00 | 2.57 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.306 | 4.266 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 52 | 32 | 31 | 43 | 60 | 30 | 73 |
N.S. |
1 | 1.00 | 2.00 | 1.23 | 1.19 | 1.65 | 2.31 | 1.15 | 2.81 |
time (sec) |
N/A | 0.174 | 0.205 | 0.268 | 0.198 | 0.254 | 1.277 | 0.286 | 19.859 |
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 | 16 | 113 | 25 | 19 | 18 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.80 | 5.65 | 1.25 | 0.95 | 0.90 | 1.00 |
time (sec) |
N/A | 0.169 | 25.613 | 0.314 | 0.622 | 0.230 | 1.014 | 0.298 | 18.454 |
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 | 16 | 115 | 25 | 19 | 18 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.80 | 5.75 | 1.25 | 0.95 | 0.90 | 1.00 |
time (sec) |
N/A | 0.166 | 28.586 | 0.313 | 0.615 | 0.244 | 6.176 | 0.342 | 18.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 421 | 423 | 749 | 0 | 2836 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.78 | 0.00 | 6.74 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.753 | 8.645 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 243 | 681 | 0 | 1217 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 2.83 | 0.00 | 5.05 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 5.224 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 47 | 48 | 93 | 51 | 52 | 94 | 88 | 83 | 111 |
N.S. |
1 | 1.02 | 1.98 | 1.09 | 1.11 | 2.00 | 1.87 | 1.77 | 2.36 |
time (sec) |
N/A | 0.331 | 0.892 | 0.716 | 0.205 | 0.262 | 7.856 | 0.301 | 19.635 |
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 | 22 | 22 | 24 | 18 | 794 | 46 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 36.09 | 2.09 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.179 | 76.763 | 0.459 | 1.148 | 0.252 | 1.980 | 0.368 | 18.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 0 | 46 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 0.00 | 2.09 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.179 | 84.563 | 0.467 | 0.000 | 0.247 | 7.154 | 0.394 | 18.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 30 | 57 | 24 | 34 | 56 | 0 | 70 | 94 |
N.S. |
1 | 1.25 | 2.38 | 1.00 | 1.42 | 2.33 | 0.00 | 2.92 | 3.92 |
time (sec) |
N/A | 0.246 | 0.056 | 0.331 | 0.249 | 0.241 | 0.000 | 0.264 | 19.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 675 | 677 | 539 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.266 | 2.090 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 407 | 409 | 333 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.037 | 3.485 | 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 | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 76 | 68 | 73 | 0 | 275 | 0 | 84 | 159 |
N.S. |
1 | 1.15 | 1.03 | 1.11 | 0.00 | 4.17 | 0.00 | 1.27 | 2.41 |
time (sec) |
N/A | 0.334 | 0.427 | 0.351 | 0.000 | 0.275 | 0.000 | 0.275 | 19.521 |
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 | 22 | 22 | 24 | 18 | 244 | 27 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 11.09 | 1.23 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.177 | 5.100 | 0.360 | 0.956 | 0.258 | 2.115 | 0.340 | 17.956 |
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 | 22 | 22 | 24 | 18 | 245 | 27 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 11.14 | 1.23 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.179 | 5.021 | 0.361 | 1.363 | 0.233 | 8.638 | 0.398 | 17.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1977 | 1979 | 2316 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.078 | 14.048 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1157 | 1159 | 846 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.223 | 9.712 | 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 | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 160 | 172 | 179 | 0 | 576 | 0 | 174 | 2737 |
N.S. |
1 | 1.28 | 1.38 | 1.43 | 0.00 | 4.61 | 0.00 | 1.39 | 21.90 |
time (sec) |
N/A | 0.700 | 1.173 | 0.391 | 0.000 | 0.296 | 0.000 | 0.285 | 22.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 0 | 48 | 22 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 0.00 | 2.18 | 1.00 | 0.91 | 1.00 |
time (sec) |
N/A | 0.176 | 50.492 | 0.425 | 0.000 | 0.254 | 5.431 | 1.023 | 17.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 0 | 48 | 22 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 0.00 | 2.18 | 1.00 | 0.91 | 1.00 |
time (sec) |
N/A | 0.182 | 57.919 | 0.414 | 0.000 | 0.247 | 39.125 | 1.767 | 18.033 |
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 | 19 | 22 | 24 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.95 | 1.10 | 1.20 |
time (sec) |
N/A | 0.234 | 4.425 | 0.375 | 2.349 | 0.246 | 21.909 | 0.657 | 17.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 61 | 158 | 128 | 62 | 0 | 0 | 106 |
N.S. |
1 | 1.00 | 1.36 | 3.51 | 2.84 | 1.38 | 0.00 | 0.00 | 2.36 |
time (sec) |
N/A | 0.211 | 0.513 | 1.014 | 0.291 | 0.268 | 0.000 | 0.000 | 20.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 185 | 699 | 0 | 384 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 4.96 | 0.00 | 2.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 0.487 | 1.168 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 0 | 0 | 0 | 557 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 0.000 | 0.000 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 80 | 57 | 102 | 275 | 207 | 116 | 0 | 0 | 182 |
N.S. |
1 | 0.71 | 1.28 | 3.44 | 2.59 | 1.45 | 0.00 | 0.00 | 2.28 |
time (sec) |
N/A | 0.429 | 2.102 | 1.420 | 0.264 | 0.256 | 0.000 | 0.000 | 20.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 214 | 141 | 286 | 970 | 0 | 568 | 0 | 0 | 0 |
N.S. |
1 | 0.66 | 1.34 | 4.53 | 0.00 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 7.769 | 1.805 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 377 | 250 | 0 | 0 | 0 | 890 | 0 | 0 | 0 |
N.S. |
1 | 0.66 | 0.00 | 0.00 | 0.00 | 2.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.619 | 0.000 | 0.000 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 85 | 87 | 79 | 315 | 0 | 301 | 0 | 0 | 229 |
N.S. |
1 | 1.02 | 0.93 | 3.71 | 0.00 | 3.54 | 0.00 | 0.00 | 2.69 |
time (sec) |
N/A | 0.422 | 0.917 | 1.086 | 0.000 | 0.294 | 0.000 | 0.000 | 19.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 338 | 283 | 1003 | 769 | 0 | 1235 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 2.97 | 2.28 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.861 | 6.352 | 1.342 | 0.000 | 0.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 499 | 418 | 0 | 0 | 0 | 1663 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.00 | 0.00 | 0.00 | 3.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.153 | 0.000 | 0.000 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 156 | 167 | 176 | 646 | 0 | 630 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.13 | 4.14 | 0.00 | 4.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.791 | 1.977 | 6.787 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 778 | 624 | 2839 | 3867 | 0 | 2435 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 3.65 | 4.97 | 0.00 | 3.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.428 | 11.168 | 7.143 | 0.000 | 0.519 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1417 | 1152 | 0 | 0 | 0 | 3755 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.00 | 0.00 | 0.00 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.364 | 0.000 | 0.000 | 0.000 | 0.571 | 0.000 | 0.000 | 0.000 |