Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 52 | 91 | 70 | 57 | 68 | 64 | 53 |
N.S. | 1 | 1.00 | 1.16 | 2.02 | 1.56 | 1.27 | 1.51 | 1.42 | 1.18 |
time (sec) |
N/A | 0.033 | 0.135 | 0.898 | 0.314 | 0.454 | 0.093 | 0.411 | 0.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 54 | 94 | 72 | 122 | 0 | 67 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.47 | 1.12 | 1.91 | 0.00 | 1.05 | -0.02 |
time (sec) |
N/A | 0.108 | 0.079 | 1.138 | 0.291 | 0.400 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 68 | 149 | 89 | 178 | 0 | 631 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.71 | 1.02 | 2.05 | 0.00 | 7.25 | -0.01 |
time (sec) |
N/A | 0.136 | 0.240 | 1.057 | 0.306 | 0.454 | 0.000 | 0.427 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 90 | 296 | 100 | 293 | 0 | 316 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.41 | 0.81 | 2.38 | 0.00 | 2.57 | -0.01 |
time (sec) |
N/A | 0.159 | 0.330 | 1.053 | 0.311 | 0.373 | 0.000 | 0.423 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 217 | 1071 | 554 | 410 | 779 | 577 | 452 |
N.S. | 1 | 1.00 | 0.92 | 4.52 | 2.34 | 1.73 | 3.29 | 2.43 | 1.91 |
time (sec) |
N/A | 0.187 | 0.989 | 0.921 | 0.286 | 0.483 | 0.470 | 0.429 | 2.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 192 | 541 | 344 | 242 | 456 | 329 | 257 |
N.S. | 1 | 1.00 | 1.14 | 3.22 | 2.05 | 1.44 | 2.71 | 1.96 | 1.53 |
time (sec) |
N/A | 0.138 | 0.343 | 0.911 | 0.286 | 0.547 | 0.302 | 0.426 | 1.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 81 | 211 | 176 | 128 | 219 | 151 | 123 |
N.S. | 1 | 1.00 | 0.69 | 1.79 | 1.49 | 1.08 | 1.86 | 1.28 | 1.04 |
time (sec) |
N/A | 0.073 | 0.322 | 0.946 | 0.268 | 0.501 | 0.169 | 0.432 | 0.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 113 | 191 | 153 | 251 | 0 | 135 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.32 | 1.06 | 1.73 | 0.00 | 0.93 | -0.01 |
time (sec) |
N/A | 0.251 | 0.146 | 4.393 | 0.329 | 0.442 | 0.000 | 0.424 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 207 | 308 | 186 | 544 | 0 | 1134 | -1 |
N.S. | 1 | 1.00 | 1.32 | 1.96 | 1.18 | 3.46 | 0.00 | 7.22 | -0.01 |
time (sec) |
N/A | 0.237 | 0.466 | 3.498 | 0.325 | 0.396 | 0.000 | 0.470 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 353 | 618 | 206 | 840 | 0 | 682 | -1 |
N.S. | 1 | 1.00 | 1.71 | 2.99 | 1.00 | 4.06 | 0.00 | 3.29 | -0.00 |
time (sec) |
N/A | 0.351 | 0.750 | 3.437 | 0.336 | 0.375 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 158 | 325 | 239 | 672 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.35 | 2.78 | 2.04 | 5.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.192 | 1.580 | 1.682 | 0.376 | 0.421 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 295 | 174 | 0 | 359 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.35 | 1.98 | 0.00 | 4.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.143 | 4.435 | 1.508 | 0.000 | 0.502 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 70 | 63 | 76 | 116 | 76 | 66 | 53 |
N.S. | 1 | 1.00 | 1.43 | 1.29 | 1.55 | 2.37 | 1.55 | 1.35 | 1.08 |
time (sec) |
N/A | 0.049 | 0.163 | 1.228 | 0.263 | 0.411 | 0.328 | 0.408 | 0.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.043 | 6.383 | 180.000 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.039 | 6.493 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 492 | 600 | 633 | 2683 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.93 | 2.35 | 2.48 | 10.52 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.253 | 2.665 | 2.041 | 0.417 | 0.454 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 637 | 313 | 0 | 1347 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.18 | 1.56 | 0.00 | 6.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.180 | 6.270 | 1.605 | 0.000 | 0.447 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 114 | 108 | 255 | 472 | 156 | 192 | 138 |
N.S. | 1 | 1.00 | 0.93 | 0.88 | 2.07 | 3.84 | 1.27 | 1.56 | 1.12 |
time (sec) |
N/A | 0.066 | 0.290 | 1.571 | 0.294 | 0.383 | 0.532 | 0.402 | 0.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.039 | 21.273 | 180.000 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.035 | 21.729 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 53 | 108 | 120 | 0 | 0 | 147 | 117 |
N.S. |
1 | 1.00 | 0.48 | 0.98 | 1.09 | 0.00 | 0.00 | 1.34 | 1.06 |
time (sec) |
N/A | 0.109 | 0.152 | 0.805 | 0.484 | 0.000 | 0.000 | 0.398 | 0.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 44 | 86 | 90 | 0 | 0 | 107 | 95 |
N.S. |
1 | 1.00 | 0.50 | 0.98 | 1.02 | 0.00 | 0.00 | 1.22 | 1.08 |
time (sec) |
N/A | 0.086 | 0.113 | 0.477 | 0.479 | 0.000 | 0.000 | 0.410 | 0.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 34 | 64 | 60 | 0 | 0 | 67 | 56 |
N.S. |
1 | 1.00 | 0.64 | 1.21 | 1.13 | 0.00 | 0.00 | 1.26 | 1.06 |
time (sec) |
N/A | 0.047 | 0.084 | 0.477 | 0.477 | 0.000 | 0.000 | 0.426 | 0.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 54 | 0 | 0 | 0 | 0 | 32 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.39 | -0.01 |
time (sec) |
N/A | 0.115 | 0.060 | 0.766 | 0.000 | 0.000 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 75 | 0 | 0 | 0 | 0 | 68 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.62 | -0.01 |
time (sec) |
N/A | 0.104 | 0.105 | 0.444 | 0.000 | 0.000 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 97 | 0 | 0 | 0 | 0 | 107 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.71 | -0.01 |
time (sec) |
N/A | 0.123 | 0.184 | 0.444 | 0.000 | 0.000 | 0.000 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 33 | 62 | 88 | 0 | 0 | 0 | 63 |
N.S. |
1 | 1.00 | 0.49 | 0.91 | 1.29 | 0.00 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.094 | 0.044 | 0.474 | 0.474 | 0.000 | 0.000 | 0.000 | 0.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 31 | 50 | 66 | 0 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.58 | 0.94 | 1.25 | 0.00 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.069 | 0.034 | 0.408 | 0.476 | 0.000 | 0.000 | 0.000 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 22 | 38 | 44 | 0 | 0 | 0 | 39 |
N.S. |
1 | 1.00 | 0.69 | 1.19 | 1.38 | 0.00 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.038 | 0.019 | 0.405 | 0.476 | 0.000 | 0.000 | 0.000 | 0.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.068 | 0.007 | 0.408 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 33 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.068 | 0.042 | 0.369 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 44 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.056 | 0.381 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 70 | 0 | 180 | 0 | 0 | 192 | -1 |
N.S. |
1 | 1.00 | 0.38 | 0.00 | 0.97 | 0.00 | 0.00 | 1.04 | -0.01 |
time (sec) |
N/A | 0.146 | 0.212 | 0.329 | 0.478 | 0.000 | 0.000 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 54 | 0 | 136 | 0 | 0 | 144 | -1 |
N.S. |
1 | 1.00 | 0.37 | 0.00 | 0.94 | 0.00 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.106 | 0.184 | 0.324 | 0.490 | 0.000 | 0.000 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 56 | 0 | 92 | 0 | 0 | 96 | -1 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 1.03 | 0.00 | 0.00 | 1.08 | -0.01 |
time (sec) |
N/A | 0.062 | 0.074 | 0.322 | 0.478 | 0.000 | 0.000 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 36 | 0 | 0 | 0 | 0 | 40 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.73 | -0.02 |
time (sec) |
N/A | 0.092 | 0.016 | 0.323 | 0.000 | 0.000 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 53 | 0 | 0 | 0 | 0 | 112 | -1 |
N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 1.42 | -0.01 |
time (sec) |
N/A | 0.094 | 0.065 | 0.316 | 0.000 | 0.000 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 69 | 0 | 0 | 0 | 0 | 170 | -1 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 1.56 | -0.01 |
time (sec) |
N/A | 0.123 | 0.049 | 0.319 | 0.000 | 0.000 | 0.000 | 0.416 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 213 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.150 | 1.107 | 0.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 163 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.120 | 1.135 | 0.437 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 117 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.544 | 0.432 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.049 | 1.957 | 0.432 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.067 | 1.067 | 0.436 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 716 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.198 | 1.925 | 0.326 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 214 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.128 | 0.692 | 0.332 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 137 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.083 | 0.325 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.050 | 6.464 | 0.332 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.051 | 7.878 | 0.326 | 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 | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.039 | 1.955 | 0.382 | 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 | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.031 | 4.348 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 429 | 0 | 381 | 783 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.95 | 1.95 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.407 | 1.640 | 180.000 | 0.136 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 302 | 0 | 213 | 539 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 0.00 | 0.81 | 2.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.240 | 0.775 | 180.000 | 0.084 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 189 | 0 | 102 | 271 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.44 | 0.00 | 0.78 | 2.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 0.231 | 180.000 | 0.057 | 0.101 | 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 | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.034 | 2.942 | 180.000 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 6.077 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 123 | 482 | 250 | 174 | 264 | 258 | 187 |
N.S. | 1 | 1.00 | 1.38 | 5.42 | 2.81 | 1.96 | 2.97 | 2.90 | 2.10 |
time (sec) |
N/A | 0.095 | 0.290 | 0.836 | 0.279 | 0.382 | 0.281 | 0.410 | 0.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 83 | 240 | 149 | 108 | 151 | 146 | 110 |
N.S. | 1 | 1.00 | 1.24 | 3.58 | 2.22 | 1.61 | 2.25 | 2.18 | 1.64 |
time (sec) |
N/A | 0.064 | 0.209 | 0.768 | 0.268 | 0.370 | 0.175 | 0.403 | 0.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 46 | 91 | 70 | 57 | 68 | 64 | 49 |
N.S. | 1 | 1.00 | 1.02 | 2.02 | 1.56 | 1.27 | 1.51 | 1.42 | 1.09 |
time (sec) |
N/A | 0.031 | 0.087 | 0.788 | 0.263 | 0.360 | 0.091 | 0.416 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 57 | 94 | 72 | 122 | 0 | 67 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.47 | 1.12 | 1.91 | 0.00 | 1.05 | -0.02 |
time (sec) |
N/A | 0.093 | 0.087 | 0.872 | 0.309 | 0.385 | 0.000 | 0.403 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 71 | 149 | 89 | 178 | 0 | 631 | -1 |
N.S. |
1 | 1.00 | 0.82 | 1.71 | 1.02 | 2.05 | 0.00 | 7.25 | -0.01 |
time (sec) |
N/A | 0.121 | 0.251 | 0.885 | 0.295 | 0.346 | 0.000 | 0.432 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 95 | 296 | 100 | 293 | 0 | 316 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.41 | 0.81 | 2.38 | 0.00 | 2.57 | -0.01 |
time (sec) |
N/A | 0.146 | 0.367 | 0.899 | 0.305 | 0.349 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 232 | 1061 | 550 | 424 | 779 | 599 | 481 |
N.S. | 1 | 1.00 | 0.93 | 4.24 | 2.20 | 1.70 | 3.12 | 2.40 | 1.92 |
time (sec) |
N/A | 0.200 | 0.811 | 0.950 | 0.301 | 0.362 | 0.507 | 0.423 | 2.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 252 | 535 | 341 | 255 | 456 | 345 | 281 |
N.S. | 1 | 1.00 | 1.38 | 2.94 | 1.87 | 1.40 | 2.51 | 1.90 | 1.54 |
time (sec) |
N/A | 0.133 | 0.634 | 0.931 | 0.288 | 0.366 | 0.323 | 0.419 | 1.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 96 | 208 | 174 | 137 | 219 | 160 | 135 |
N.S. | 1 | 1.00 | 0.83 | 1.79 | 1.50 | 1.18 | 1.89 | 1.38 | 1.16 |
time (sec) |
N/A | 0.076 | 0.511 | 0.972 | 0.275 | 0.429 | 0.163 | 0.412 | 0.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 133 | 202 | 152 | 253 | 0 | 144 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.29 | 0.97 | 1.62 | 0.00 | 0.92 | -0.01 |
time (sec) |
N/A | 0.231 | 0.174 | 4.142 | 0.316 | 0.381 | 0.000 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 233 | 319 | 185 | 540 | 0 | 1135 | -1 |
N.S. | 1 | 1.00 | 1.27 | 1.74 | 1.01 | 2.95 | 0.00 | 6.20 | -0.01 |
time (sec) |
N/A | 0.258 | 0.497 | 4.213 | 0.316 | 0.381 | 0.000 | 0.502 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 394 | 626 | 205 | 830 | 0 | 678 | -1 |
N.S. | 1 | 1.00 | 1.63 | 2.59 | 0.85 | 3.43 | 0.00 | 2.80 | -0.00 |
time (sec) |
N/A | 0.325 | 0.812 | 4.085 | 0.348 | 0.380 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 436 | 436 | 384 | 0 | 0 | 1420 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 3.26 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.570 | 1.034 | 180.000 | 0.000 | 0.376 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 247 | 0 | 0 | 938 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 2.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.467 | 0.667 | 180.000 | 0.000 | 0.458 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 152 | 437 | 0 | 559 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 2.15 | 0.00 | 2.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.266 | 0.631 | 1.461 | 0.000 | 0.375 | 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 | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.044 | 0.673 | 180.000 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 0.787 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F(-2) | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 823 | 823 | 11178 | 0 | 0 | 11778 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 13.58 | 0.00 | 0.00 | 14.31 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.975 | 23.005 | 0.833 | 0.000 | 0.574 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F(-2) | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 593 | 593 | 2854 | 0 | 0 | 6143 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.81 | 0.00 | 0.00 | 10.36 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.726 | 18.618 | 0.847 | 0.000 | 0.683 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 509 | 585 | 0 | 2297 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.86 | 2.14 | 0.00 | 8.38 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.325 | 3.308 | 2.035 | 0.000 | 0.410 | 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 | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.039 | 33.691 | 180.000 | 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 | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 36.258 | 180.000 | 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 | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.034 | 3.020 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 2639 | 0 | 383 | 883 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.86 | 0.00 | 0.71 | 1.63 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.539 | 9.709 | 180.000 | 0.132 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 241 | 0 | 212 | 555 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.75 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.281 | 5.831 | 180.000 | 0.080 | 0.147 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 202 | 0 | 102 | 271 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.54 | 0.00 | 0.78 | 2.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.967 | 180.000 | 0.058 | 0.087 | 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 | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.038 | 0.883 | 180.000 | 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 | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 3.942 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |