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 | F | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 88 | 0 | 66 | 358 | 0 | 677 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.75 | 4.07 | 0.00 | 7.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.465 | 1.427 | 0.000 | 0.733 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 332 | 88 | 80 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 3.77 | 1.00 | 0.91 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.259 | 15.460 | 7.350 | 0.000 | 0.711 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 88 | 55 | 84 | 33 | 69 | 82 | 32 | 0 | 0 |
N.S. |
1 | 0.62 | 0.95 | 0.38 | 0.78 | 0.93 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 0.515 | 5.628 | 0.285 | 0.279 | 0.440 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 88 | 54 | 84 | 33 | 69 | 82 | 31 | 0 | 0 |
N.S. |
1 | 0.61 | 0.95 | 0.38 | 0.78 | 0.93 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.430 | 3.970 | 0.312 | 0.284 | 0.441 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 55 | 84 | 17 | 69 | 82 | 29 | 0 | 0 |
N.S. |
1 | 0.62 | 0.95 | 0.19 | 0.78 | 0.93 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.511 | 5.228 | 0.294 | 0.271 | 0.450 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 54 | 84 | 17 | 69 | 82 | 29 | 0 | 0 |
N.S. |
1 | 0.61 | 0.95 | 0.19 | 0.78 | 0.93 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 0.421 | 3.614 | 0.288 | 0.288 | 0.439 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 111 | 88 | 99 | 140 | 0 | 126 | 0 | 0 |
N.S. |
1 | 1.26 | 1.00 | 1.12 | 1.59 | 0.00 | 1.43 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.494 | 1.269 | 0.305 | 0.000 | 1.324 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 99 | 88 | 121 | 116 | 0 | 345 | 0 | 71 |
N.S. |
1 | 1.12 | 1.00 | 1.38 | 1.32 | 0.00 | 3.92 | 0.00 | 0.81 |
time (sec) |
N/A | 0.247 | 0.362 | 1.244 | 0.294 | 0.000 | 1.256 | 0.000 | 6.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 226 | 87 | 78 | 41 | 0 | 31 | 41 | 41 |
N.S. |
1 | 2.57 | 0.99 | 0.89 | 0.47 | 0.00 | 0.35 | 0.47 | 0.47 |
time (sec) |
N/A | 0.941 | 0.577 | 1.864 | 0.239 | 0.000 | 30.645 | 0.317 | 6.261 |
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 | 88 | 46 | 107 | 0 | 0 | 161 | 0 | 0 | 0 |
N.S. |
1 | 0.52 | 1.22 | 0.00 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.692 | 5.182 | 0.000 | 0.000 | 5.766 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 69 | 82 | 66 | 65 | 67 | 39 | 66 | 89 |
N.S. |
1 | 0.78 | 0.92 | 0.74 | 0.73 | 0.75 | 0.44 | 0.74 | 1.00 |
time (sec) |
N/A | 0.199 | 0.061 | 2.717 | 0.289 | 0.253 | 0.611 | 0.274 | 5.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 89 | 334 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 3.75 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.101 | 6.407 | 0.000 | 0.550 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 433 | 77 | 1516 | 0 | 384 | 0 | 0 | 509 |
N.S. |
1 | 4.87 | 0.87 | 17.03 | 0.00 | 4.31 | 0.00 | 0.00 | 5.72 |
time (sec) |
N/A | 1.081 | 1.522 | 8.330 | 0.000 | 0.303 | 0.000 | 0.000 | 5.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 81 | 85 | 65 | 72 | 70 | 82 | 73 | 86 |
N.S. |
1 | 0.91 | 0.96 | 0.73 | 0.81 | 0.79 | 0.92 | 0.82 | 0.97 |
time (sec) |
N/A | 0.210 | 0.058 | 2.288 | 0.277 | 0.261 | 7.251 | 0.284 | 5.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.718 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 103 | 98 | 83 | 0 | 120 | 0 | 0 | 565 |
N.S. |
1 | 1.16 | 1.10 | 0.93 | 0.00 | 1.35 | 0.00 | 0.00 | 6.35 |
time (sec) |
N/A | 0.893 | 0.362 | 3.365 | 0.000 | 0.342 | 0.000 | 0.000 | 5.802 |
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 | 89 | 103 | 97 | 83 | 0 | 120 | 0 | 0 | 565 |
N.S. |
1 | 1.16 | 1.09 | 0.93 | 0.00 | 1.35 | 0.00 | 0.00 | 6.35 |
time (sec) |
N/A | 1.177 | 0.233 | 1.398 | 0.000 | 0.335 | 0.000 | 0.000 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 69 | 82 | 66 | 65 | 67 | 39 | 66 | 89 |
N.S. |
1 | 0.78 | 0.92 | 0.74 | 0.73 | 0.75 | 0.44 | 0.74 | 1.00 |
time (sec) |
N/A | 0.197 | 0.053 | 3.967 | 0.283 | 0.307 | 0.581 | 0.279 | 5.840 |
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 | 89 | 103 | 98 | 83 | 0 | 120 | 0 | 0 | 698 |
N.S. |
1 | 1.16 | 1.10 | 0.93 | 0.00 | 1.35 | 0.00 | 0.00 | 7.84 |
time (sec) |
N/A | 1.013 | 0.417 | 1.205 | 0.000 | 0.344 | 0.000 | 0.000 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 89 | 69 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.78 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.249 | 5.553 | 0.000 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 72 | 209 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 2.35 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.848 | 3.487 | 0.000 | 0.330 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 69 | 82 | 66 | 65 | 67 | 39 | 66 | 89 |
N.S. |
1 | 0.78 | 0.92 | 0.74 | 0.73 | 0.75 | 0.44 | 0.74 | 1.00 |
time (sec) |
N/A | 0.203 | 0.053 | 7.000 | 0.316 | 0.277 | 0.580 | 0.266 | 5.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 69 | 82 | 66 | 65 | 67 | 37 | 66 | 89 |
N.S. |
1 | 0.78 | 0.92 | 0.74 | 0.73 | 0.75 | 0.42 | 0.74 | 1.00 |
time (sec) |
N/A | 0.194 | 0.055 | 7.365 | 0.279 | 0.277 | 0.563 | 0.272 | 5.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 0 | 89 | 0 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.145 | 0.000 | 0.000 | 2.233 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 90 | 74 | 83 | 96 | 68 | 80 | 36 | 69 | 86 |
N.S. |
1 | 0.82 | 0.92 | 1.07 | 0.76 | 0.89 | 0.40 | 0.77 | 0.96 |
time (sec) |
N/A | 0.189 | 0.092 | 2.935 | 0.280 | 0.300 | 0.609 | 0.290 | 5.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | C | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 90 | 139 | 138 | 76 | 0 | 227 | 75 | 0 | 89 |
N.S. |
1 | 1.54 | 1.53 | 0.84 | 0.00 | 2.52 | 0.83 | 0.00 | 0.99 |
time (sec) |
N/A | 0.365 | 10.037 | 3.000 | 0.000 | 0.853 | 2.327 | 0.000 | 6.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 77 | 83 | 55 | 66 | 78 | 32 | 67 | 78 |
N.S. |
1 | 0.86 | 0.92 | 0.61 | 0.73 | 0.87 | 0.36 | 0.74 | 0.87 |
time (sec) |
N/A | 0.195 | 0.080 | 2.812 | 0.292 | 0.265 | 0.608 | 0.272 | 5.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 76 | 83 | 76 | 66 | 79 | 31 | 67 | 92 |
N.S. |
1 | 0.84 | 0.92 | 0.84 | 0.73 | 0.88 | 0.34 | 0.74 | 1.02 |
time (sec) |
N/A | 0.197 | 0.074 | 2.826 | 0.287 | 0.260 | 0.619 | 0.274 | 5.585 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 59 | 84 | 55 | 80 | 78 | 228 | 148 | 71 |
N.S. |
1 | 0.66 | 0.93 | 0.61 | 0.89 | 0.87 | 2.53 | 1.64 | 0.79 |
time (sec) |
N/A | 0.225 | 0.112 | 1.329 | 0.288 | 0.272 | 3.219 | 0.281 | 5.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 76 | 83 | 76 | 66 | 79 | 34 | 66 | 92 |
N.S. |
1 | 0.84 | 0.92 | 0.84 | 0.73 | 0.88 | 0.38 | 0.73 | 1.02 |
time (sec) |
N/A | 0.193 | 0.084 | 4.928 | 0.285 | 0.263 | 0.619 | 0.275 | 5.593 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 95 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.091 | 6.174 | 0.000 | 1.849 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 87 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.97 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.996 | 9.754 | 0.000 | 2.734 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 94 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.04 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.097 | 7.427 | 0.000 | 3.484 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 87 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.97 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.997 | 7.078 | 0.000 | 1.737 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 104 | 0 | 387 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.16 | 0.00 | 4.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.410 | 14.398 | 0.000 | 8.386 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 77 | 63 | 83 | 0 | 208 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.70 | 0.92 | 0.00 | 2.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.325 | 6.286 | 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 | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 132 | 125 | 104 | 0 | 0 | 0 | 222 | 0 |
N.S. |
1 | 1.47 | 1.39 | 1.16 | 0.00 | 0.00 | 0.00 | 2.47 | 0.00 |
time (sec) |
N/A | 0.372 | 0.409 | 2.487 | 0.000 | 0.000 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 119 | 110 | 110 | 0 | 0 | 0 | 195 | 0 |
N.S. |
1 | 1.32 | 1.22 | 1.22 | 0.00 | 0.00 | 0.00 | 2.17 | 0.00 |
time (sec) |
N/A | 0.365 | 0.379 | 2.411 | 0.000 | 0.000 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 76 | 83 | 76 | 66 | 79 | 34 | 67 | 92 |
N.S. |
1 | 0.84 | 0.92 | 0.84 | 0.73 | 0.88 | 0.38 | 0.74 | 1.02 |
time (sec) |
N/A | 0.196 | 0.082 | 6.656 | 0.263 | 0.280 | 0.701 | 0.278 | 5.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 95 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.146 | 11.446 | 0.000 | 3.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 95 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.164 | 15.909 | 0.000 | 3.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | C | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 90 | 140 | 86 | 64 | 111 | 94 | 39 | 111 | 54 |
N.S. |
1 | 1.56 | 0.96 | 0.71 | 1.23 | 1.04 | 0.43 | 1.23 | 0.60 |
time (sec) |
N/A | 0.313 | 0.092 | 10.155 | 0.283 | 0.266 | 0.580 | 0.274 | 5.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 77 | 81 | 76 | 66 | 79 | 31 | 66 | 92 |
N.S. |
1 | 0.86 | 0.90 | 0.84 | 0.73 | 0.88 | 0.34 | 0.73 | 1.02 |
time (sec) |
N/A | 0.197 | 0.093 | 7.212 | 0.277 | 0.246 | 0.796 | 0.264 | 5.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 76 | 83 | 76 | 66 | 79 | 32 | 66 | 92 |
N.S. |
1 | 0.84 | 0.92 | 0.84 | 0.73 | 0.88 | 0.36 | 0.73 | 1.02 |
time (sec) |
N/A | 0.191 | 0.066 | 6.219 | 0.284 | 0.246 | 0.785 | 0.266 | 5.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 20.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 90 | 94 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.04 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.215 | 74.725 | 0.000 | 10.671 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 0 | 76 | 0 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.84 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.998 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 130 | 101 | 50 | 0 | 791 | 0 | 0 | 0 |
N.S. |
1 | 1.43 | 1.11 | 0.55 | 0.00 | 8.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.648 | 17.558 | 3.455 | 0.000 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 91 | 86 | 109 | 27 | 0 | 92 | 0 | 63 | 27 |
N.S. |
1 | 0.95 | 1.20 | 0.30 | 0.00 | 1.01 | 0.00 | 0.69 | 0.30 |
time (sec) |
N/A | 0.182 | 0.148 | 3.536 | 0.000 | 0.275 | 0.000 | 0.278 | 6.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 0 | 91 | 232 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 2.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 6.202 | 4.321 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 0 | 142 | 58 | 0 | 228 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.56 | 0.64 | 0.00 | 2.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.621 | 6.185 | 0.000 | 50.242 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 0 | 91 | 87 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.946 | 35.460 | 0.000 | 9.201 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 0 | 65 | 126 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.71 | 1.38 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.635 | 4.735 | 0.000 | 0.331 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 91 | 151 | 0 | 204 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.66 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.381 | 4.273 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 118 | 115 | 103 | 0 | 0 | 0 | 213 | 42 |
N.S. |
1 | 1.30 | 1.26 | 1.13 | 0.00 | 0.00 | 0.00 | 2.34 | 0.46 |
time (sec) |
N/A | 0.284 | 6.704 | 3.517 | 0.000 | 0.000 | 0.000 | 0.285 | 5.935 |
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 | 91 | 83 | 84 | 0 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.92 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.102 | 0.000 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 0 | 92 | 362 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 3.93 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.132 | 6.194 | 0.000 | 0.543 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 74 | 85 | 75 | 68 | 81 | 34 | 69 | 80 |
N.S. |
1 | 0.80 | 0.92 | 0.82 | 0.74 | 0.88 | 0.37 | 0.75 | 0.87 |
time (sec) |
N/A | 0.201 | 0.108 | 3.695 | 0.274 | 0.270 | 0.744 | 0.275 | 5.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 74 | 83 | 96 | 68 | 80 | 32 | 69 | 92 |
N.S. |
1 | 0.80 | 0.90 | 1.04 | 0.74 | 0.87 | 0.35 | 0.75 | 1.00 |
time (sec) |
N/A | 0.194 | 0.079 | 3.489 | 0.271 | 0.240 | 0.697 | 0.288 | 6.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 61 | 92 | 17 | 81 | 100 | 32 | 0 | 15 |
N.S. |
1 | 0.66 | 1.00 | 0.18 | 0.88 | 1.09 | 0.35 | 0.00 | 0.16 |
time (sec) |
N/A | 0.166 | 0.131 | 2.487 | 0.270 | 0.373 | 0.631 | 0.000 | 6.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 53 | 92 | 543 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 1.00 | 5.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.859 | 3.847 | 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 | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 116 | 92 | 104 | 132 | 218 | 41 | 244 | 82 |
N.S. |
1 | 1.26 | 1.00 | 1.13 | 1.43 | 2.37 | 0.45 | 2.65 | 0.89 |
time (sec) |
N/A | 0.211 | 0.126 | 1.271 | 0.267 | 0.253 | 1.977 | 0.285 | 6.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 73 | 83 | 96 | 68 | 80 | 34 | 69 | 92 |
N.S. |
1 | 0.79 | 0.90 | 1.04 | 0.74 | 0.87 | 0.37 | 0.75 | 1.00 |
time (sec) |
N/A | 0.199 | 0.089 | 4.636 | 0.266 | 0.255 | 0.793 | 0.291 | 5.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 0 | 66 | 357 | 0 | 601 | 0 | 0 | 705 |
N.S. |
1 | 0.00 | 0.72 | 3.88 | 0.00 | 6.53 | 0.00 | 0.00 | 7.66 |
time (sec) |
N/A | 0.000 | 15.844 | 1.374 | 0.000 | 0.531 | 0.000 | 0.000 | 6.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 116 | 92 | 104 | 132 | 218 | 39 | 244 | 82 |
N.S. |
1 | 1.26 | 1.00 | 1.13 | 1.43 | 2.37 | 0.42 | 2.65 | 0.89 |
time (sec) |
N/A | 0.214 | 0.130 | 1.270 | 0.275 | 0.263 | 1.900 | 0.277 | 6.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 109 | 87 | 106 | 148 | 215 | 39 | 0 | 0 |
N.S. |
1 | 1.18 | 0.95 | 1.15 | 1.61 | 2.34 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 0.313 | 1.148 | 0.280 | 0.279 | 1.513 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 494 | 126 | 80 | 30 | 2253 | 22 | 30 | 30 |
N.S. |
1 | 5.37 | 1.37 | 0.87 | 0.33 | 24.49 | 0.24 | 0.33 | 0.33 |
time (sec) |
N/A | 1.339 | 0.488 | 2.016 | 0.225 | 0.337 | 1.724 | 12.548 | 5.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 494 | 126 | 80 | 30 | 2253 | 22 | 30 | 30 |
N.S. |
1 | 5.37 | 1.37 | 0.87 | 0.33 | 24.49 | 0.24 | 0.33 | 0.33 |
time (sec) |
N/A | 0.973 | 0.002 | 0.000 | 0.236 | 0.336 | 1.807 | 12.509 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 74 | 83 | 96 | 68 | 80 | 36 | 69 | 92 |
N.S. |
1 | 0.80 | 0.90 | 1.04 | 0.74 | 0.87 | 0.39 | 0.75 | 1.00 |
time (sec) |
N/A | 0.195 | 0.097 | 6.766 | 0.276 | 0.240 | 0.850 | 0.278 | 5.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 116 | 92 | 104 | 132 | 218 | 41 | 244 | 82 |
N.S. |
1 | 1.26 | 1.00 | 1.13 | 1.43 | 2.37 | 0.45 | 2.65 | 0.89 |
time (sec) |
N/A | 0.218 | 0.104 | 1.140 | 0.278 | 0.256 | 2.013 | 0.278 | 6.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 73 | 83 | 96 | 68 | 80 | 32 | 69 | 92 |
N.S. |
1 | 0.79 | 0.90 | 1.04 | 0.74 | 0.87 | 0.35 | 0.75 | 1.00 |
time (sec) |
N/A | 0.192 | 0.071 | 7.375 | 0.263 | 0.240 | 0.740 | 0.286 | 5.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 74 | 83 | 96 | 68 | 80 | 34 | 69 | 92 |
N.S. |
1 | 0.80 | 0.90 | 1.04 | 0.74 | 0.87 | 0.37 | 0.75 | 1.00 |
time (sec) |
N/A | 0.193 | 0.065 | 7.250 | 0.265 | 0.245 | 0.821 | 0.273 | 5.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 0 | 137 | 92 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.49 | 1.00 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.294 | 8.700 | 0.000 | 1.725 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 137 | 86 | 97 | 132 | 234 | 165 | 136 | 0 |
N.S. |
1 | 1.49 | 0.93 | 1.05 | 1.43 | 2.54 | 1.79 | 1.48 | 0.00 |
time (sec) |
N/A | 0.408 | 0.164 | 0.175 | 0.277 | 0.260 | 4.110 | 0.543 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | C | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 93 | 142 | 89 | 71 | 114 | 111 | 34 | 114 | 57 |
N.S. |
1 | 1.53 | 0.96 | 0.76 | 1.23 | 1.19 | 0.37 | 1.23 | 0.61 |
time (sec) |
N/A | 0.308 | 0.149 | 3.794 | 0.286 | 0.246 | 0.753 | 0.265 | 5.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 93 | 62 | 90 | 33 | 81 | 105 | 37 | 0 | 0 |
N.S. |
1 | 0.67 | 0.97 | 0.35 | 0.87 | 1.13 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.151 | 4.312 | 0.272 | 0.440 | 0.692 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 386 | 81 | 1500 | 0 | 384 | 0 | 0 | 509 |
N.S. |
1 | 4.15 | 0.87 | 16.13 | 0.00 | 4.13 | 0.00 | 0.00 | 5.47 |
time (sec) |
N/A | 1.038 | 1.513 | 6.598 | 0.000 | 0.284 | 0.000 | 0.000 | 0.244 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 62 | 90 | 17 | 81 | 105 | 34 | 0 | 0 |
N.S. |
1 | 0.67 | 0.97 | 0.18 | 0.87 | 1.13 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.130 | 3.173 | 0.274 | 0.425 | 0.657 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 211 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 33.042 | 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 | C | A | C | C | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 93 | 140 | 87 | 72 | 114 | 111 | 34 | 114 | 57 |
N.S. |
1 | 1.51 | 0.94 | 0.77 | 1.23 | 1.19 | 0.37 | 1.23 | 0.61 |
time (sec) |
N/A | 0.307 | 0.161 | 6.210 | 0.272 | 0.301 | 0.730 | 0.269 | 5.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 332 | 120 | 87 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 3.57 | 1.29 | 0.94 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.056 | 1.040 | 4.546 | 0.000 | 0.766 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 93 | 81 | 0 | 92 | 0 | 100 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.87 | 0.00 | 0.99 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.000 | 0.277 | 10.669 | 0.000 | 0.290 | 0.000 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 125 | 101 | 121 | 0 | 172 | 0 | 100 | 0 |
N.S. |
1 | 1.34 | 1.09 | 1.30 | 0.00 | 1.85 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.283 | 0.259 | 4.859 | 0.000 | 0.273 | 0.000 | 0.335 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 120 | 87 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.29 | 0.94 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.208 | 5.675 | 0.000 | 0.846 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | C | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 93 | 140 | 93 | 72 | 114 | 111 | 36 | 114 | 57 |
N.S. |
1 | 1.51 | 1.00 | 0.77 | 1.23 | 1.19 | 0.39 | 1.23 | 0.61 |
time (sec) |
N/A | 0.316 | 0.125 | 10.303 | 0.265 | 0.277 | 0.840 | 0.271 | 5.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 0 | 87 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.94 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 6.896 | 0.000 | 1.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 77 | 71 | 0 | 497 | 0 | 0 | 2803 |
N.S. |
1 | 0.00 | 0.83 | 0.76 | 0.00 | 5.34 | 0.00 | 0.00 | 30.14 |
time (sec) |
N/A | 0.000 | 0.417 | 11.020 | 0.000 | 0.309 | 0.000 | 0.000 | 8.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 0 | 77 | 121 | 0 | 575 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.83 | 1.30 | 0.00 | 6.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.352 | 3.738 | 0.000 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 167 | 90 | 98 | 0 | 74 | 85 | 80 | 0 |
N.S. |
1 | 1.80 | 0.97 | 1.05 | 0.00 | 0.80 | 0.91 | 0.86 | 0.00 |
time (sec) |
N/A | 0.638 | 0.165 | 0.845 | 0.000 | 0.699 | 0.439 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 94 | 65 | 99 | 30 | 94 | 86 | 32 | 0 | 26 |
N.S. |
1 | 0.69 | 1.05 | 0.32 | 1.00 | 0.91 | 0.34 | 0.00 | 0.28 |
time (sec) |
N/A | 0.164 | 0.103 | 2.678 | 0.268 | 0.287 | 0.662 | 0.000 | 5.861 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 65 | 99 | 14 | 94 | 86 | 29 | 0 | 12 |
N.S. |
1 | 0.69 | 1.05 | 0.15 | 1.00 | 0.91 | 0.31 | 0.00 | 0.13 |
time (sec) |
N/A | 0.165 | 0.066 | 1.812 | 0.272 | 0.281 | 0.668 | 0.000 | 5.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 65 | 90 | 29 | 94 | 86 | 71 | 0 | 0 |
N.S. |
1 | 0.69 | 0.96 | 0.31 | 1.00 | 0.91 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.166 | 0.195 | 4.417 | 0.273 | 0.253 | 1.092 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 93 | 133 | 17 | 0 | 90 | 0 | 67 | 27 |
N.S. |
1 | 0.99 | 1.41 | 0.18 | 0.00 | 0.96 | 0.00 | 0.71 | 0.29 |
time (sec) |
N/A | 0.220 | 0.535 | 6.503 | 0.000 | 0.351 | 0.000 | 0.284 | 5.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 115 | 94 | 110 | 0 | 340 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 1.00 | 1.17 | 0.00 | 3.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.417 | 14.163 | 0.000 | 3.745 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.938 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |