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 | A | F(-1) | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 188 | 207 | 0 | 168 | 0 | 383 | 1034 |
N.S. |
1 | 1.00 | 0.82 | 0.90 | 0.00 | 0.73 | 0.00 | 1.67 | 4.52 |
time (sec) |
N/A | 0.392 | 1.731 | 14.903 | 0.000 | 2.816 | 0.000 | 1.644 | 17.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 156 | 174 | 0 | 144 | 0 | 348 | 885 |
N.S. | 1 | 1.00 | 0.85 | 0.95 | 0.00 | 0.78 | 0.00 | 1.89 | 4.81 |
time (sec) |
N/A | 0.236 | 2.548 | 13.947 | 0.000 | 3.486 | 0.000 | 1.695 | 16.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 170 | 476 | 0 | 430 | 0 | 419 | -1 |
N.S. | 1 | 1.00 | 0.93 | 2.62 | 0.00 | 2.36 | 0.00 | 2.30 | -0.01 |
time (sec) |
N/A | 0.223 | 2.543 | 16.222 | 0.000 | 2.712 | 0.000 | 1.822 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 209 | 604 | 2780 | 440 | 0 | 559 | -1 |
N.S. |
1 | 1.00 | 1.14 | 3.28 | 15.11 | 2.39 | 0.00 | 3.04 | -0.01 |
time (sec) |
N/A | 0.280 | 1.921 | 41.161 | 0.733 | 2.607 | 0.000 | 2.207 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 152 | 583 | 0 | 438 | 0 | 811 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.96 | 0.00 | 2.22 | 0.00 | 4.12 | -0.01 |
time (sec) |
N/A | 0.423 | 1.264 | 51.471 | 0.000 | 3.197 | 0.000 | 2.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 140 | 846 | 0 | 410 | 0 | 1319 | -1 |
N.S. |
1 | 1.00 | 0.68 | 4.09 | 0.00 | 1.98 | 0.00 | 6.37 | -0.00 |
time (sec) |
N/A | 0.448 | 1.780 | 27.790 | 0.000 | 3.800 | 0.000 | 2.460 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 156 | 1108 | 0 | 444 | 0 | 1542 | -1 |
N.S. |
1 | 1.00 | 0.73 | 5.15 | 0.00 | 2.07 | 0.00 | 7.17 | -0.00 |
time (sec) |
N/A | 0.474 | 2.442 | 29.312 | 0.000 | 4.214 | 0.000 | 2.628 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 183 | 1381 | 0 | 490 | 0 | 1965 | -1 |
N.S. |
1 | 1.00 | 0.70 | 5.29 | 0.00 | 1.88 | 0.00 | 7.53 | -0.00 |
time (sec) |
N/A | 0.554 | 2.529 | 28.747 | 0.000 | 4.474 | 0.000 | 2.808 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 311 | 311 | 217 | 1654 | 0 | 536 | 0 | 2319 | -1 |
N.S. |
1 | 1.00 | 0.70 | 5.32 | 0.00 | 1.72 | 0.00 | 7.46 | -0.00 |
time (sec) |
N/A | 0.620 | 3.559 | 29.425 | 0.000 | 2.932 | 0.000 | 3.090 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 7186 | 1429 | 0 | 487 | 0 | 405 | -1 |
N.S. |
1 | 1.00 | 28.29 | 5.63 | 0.00 | 1.92 | 0.00 | 1.59 | -0.00 |
time (sec) |
N/A | 0.593 | 30.306 | 15.665 | 0.000 | 2.935 | 0.000 | 1.769 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 2322 | 1144 | 0 | 448 | 0 | 270 | -1 |
N.S. | 1 | 1.00 | 11.16 | 5.50 | 0.00 | 2.15 | 0.00 | 1.30 | -0.00 |
time (sec) |
N/A | 0.430 | 11.519 | 16.539 | 0.000 | 4.541 | 0.000 | 1.666 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 1666 | 859 | 0 | 405 | 0 | 281 | -1 |
N.S. | 1 | 1.00 | 10.16 | 5.24 | 0.00 | 2.47 | 0.00 | 1.71 | -0.01 |
time (sec) |
N/A | 0.300 | 8.589 | 0.452 | 0.000 | 2.856 | 0.000 | 1.601 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 628 | 563 | 0 | 356 | 0 | 166 | -1 |
N.S. | 1 | 1.00 | 5.32 | 4.77 | 0.00 | 3.02 | 0.00 | 1.41 | -0.01 |
time (sec) |
N/A | 0.156 | 7.169 | 0.358 | 0.000 | 3.099 | 0.000 | 1.454 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 123 | 347 | 0 | 439 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 2.94 | 0.00 | 3.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 1.311 | 0.165 | 0.000 | 8.624 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 120 | 429 | 0 | 462 | 0 | 366 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.58 | 0.00 | 3.85 | 0.00 | 3.05 | -0.01 |
time (sec) |
N/A | 0.167 | 1.241 | 0.326 | 0.000 | 13.515 | 0.000 | 1.990 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 16835 | 1025 | 0 | 521 | 0 | 628 | -1 |
N.S. | 1 | 1.00 | 99.62 | 6.07 | 0.00 | 3.08 | 0.00 | 3.72 | -0.01 |
time (sec) |
N/A | 0.274 | 27.899 | 0.191 | 0.000 | 29.200 | 0.000 | 2.015 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 161 | 1561 | 0 | 562 | 0 | 1076 | -1 |
N.S. | 1 | 1.00 | 0.76 | 7.33 | 0.00 | 2.64 | 0.00 | 5.05 | -0.00 |
time (sec) |
N/A | 0.397 | 0.859 | 0.211 | 0.000 | 24.043 | 0.000 | 2.172 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 178 | 2086 | 0 | 602 | 0 | 1370 | -1 |
N.S. |
1 | 1.00 | 0.69 | 8.05 | 0.00 | 2.32 | 0.00 | 5.29 | -0.00 |
time (sec) |
N/A | 0.529 | 0.993 | 0.230 | 0.000 | 51.045 | 0.000 | 2.318 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 7210 | 1437 | 0 | 575 | 0 | 448 | -1 |
N.S. |
1 | 1.00 | 26.03 | 5.19 | 0.00 | 2.08 | 0.00 | 1.62 | -0.00 |
time (sec) |
N/A | 0.588 | 25.406 | 0.244 | 0.000 | 4.330 | 0.000 | 1.679 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 7166 | 1152 | 0 | 534 | 0 | 303 | -1 |
N.S. |
1 | 1.00 | 31.29 | 5.03 | 0.00 | 2.33 | 0.00 | 1.32 | -0.00 |
time (sec) |
N/A | 0.462 | 25.049 | 0.198 | 0.000 | 3.397 | 0.000 | 1.817 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 7119 | 867 | 0 | 483 | 0 | 294 | -1 |
N.S. | 1 | 1.00 | 39.33 | 4.79 | 0.00 | 2.67 | 0.00 | 1.62 | -0.01 |
time (sec) |
N/A | 0.316 | 25.364 | 0.179 | 0.000 | 3.106 | 0.000 | 1.933 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 135 | 7086 | 581 | 0 | 398 | 0 | 200 | -1 |
N.S. | 1 | 1.12 | 59.05 | 4.84 | 0.00 | 3.32 | 0.00 | 1.67 | -0.01 |
time (sec) |
N/A | 0.165 | 24.947 | 0.163 | 0.000 | 4.042 | 0.000 | 1.675 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 16084 | 732 | 0 | 568 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 122.78 | 5.59 | 0.00 | 4.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.141 | 28.053 | 0.133 | 0.000 | 26.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 179 | 889 | 0 | 618 | 0 | 432 | -1 |
N.S. | 1 | 1.00 | 1.03 | 5.14 | 0.00 | 3.57 | 0.00 | 2.50 | -0.01 |
time (sec) |
N/A | 0.285 | 2.560 | 0.202 | 0.000 | 43.093 | 0.000 | 2.471 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 17639 | 1569 | 0 | 685 | 0 | 657 | -1 |
N.S. | 1 | 1.00 | 76.03 | 6.76 | 0.00 | 2.95 | 0.00 | 2.83 | -0.00 |
time (sec) |
N/A | 0.427 | 28.439 | 0.164 | 0.000 | 95.634 | 0.000 | 2.171 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 221 | 2094 | 0 | 724 | 0 | 1056 | -1 |
N.S. | 1 | 1.00 | 0.78 | 7.37 | 0.00 | 2.55 | 0.00 | 3.72 | -0.00 |
time (sec) |
N/A | 0.568 | 3.183 | 0.175 | 0.000 | 63.802 | 0.000 | 2.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 7237 | 1439 | 0 | 638 | 0 | 447 | -1 |
N.S. |
1 | 1.00 | 26.13 | 5.19 | 0.00 | 2.30 | 0.00 | 1.61 | -0.00 |
time (sec) |
N/A | 0.607 | 25.729 | 0.228 | 0.000 | 3.801 | 0.000 | 1.942 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 7197 | 1154 | 0 | 593 | 0 | 302 | -1 |
N.S. |
1 | 1.00 | 31.70 | 5.08 | 0.00 | 2.61 | 0.00 | 1.33 | -0.00 |
time (sec) |
N/A | 0.467 | 25.486 | 0.196 | 0.000 | 2.976 | 0.000 | 1.807 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 7172 | 870 | 0 | 516 | 0 | 311 | -1 |
N.S. |
1 | 1.00 | 40.07 | 4.86 | 0.00 | 2.88 | 0.00 | 1.74 | -0.01 |
time (sec) |
N/A | 0.338 | 25.507 | 0.174 | 0.000 | 4.328 | 0.000 | 1.691 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 7163 | 875 | 0 | 511 | 0 | 184 | -1 |
N.S. |
1 | 1.00 | 52.28 | 6.39 | 0.00 | 3.73 | 0.00 | 1.34 | -0.01 |
time (sec) |
N/A | 0.184 | 25.394 | 0.162 | 0.000 | 3.283 | 0.000 | 1.811 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 16171 | 1097 | 0 | 706 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 94.57 | 6.42 | 0.00 | 4.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 28.224 | 0.134 | 0.000 | 55.925 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 181 | 1338 | 0 | 774 | 0 | 478 | -1 |
N.S. |
1 | 1.00 | 0.83 | 6.17 | 0.00 | 3.57 | 0.00 | 2.20 | -0.00 |
time (sec) |
N/A | 0.408 | 5.644 | 0.203 | 0.000 | 72.702 | 0.000 | 2.371 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 17717 | 2096 | 0 | 835 | 0 | 702 | -1 |
N.S. | 1 | 1.00 | 63.28 | 7.49 | 0.00 | 2.98 | 0.00 | 2.51 | -0.00 |
time (sec) |
N/A | 0.582 | 28.520 | 0.165 | 0.000 | 131.241 | 0.000 | 2.472 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 1029 | 823 | 0 | 263 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.74 | 3.79 | 0.00 | 1.21 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.181 | 7.005 | 0.196 | 0.000 | 1.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 366 | 714 | 0 | 234 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.02 | 3.94 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.155 | 6.711 | 0.135 | 0.000 | 1.657 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 208 | 489 | 0 | 204 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.45 | 3.42 | 0.00 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.142 | 2.031 | 0.117 | 0.000 | 0.999 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 183 | 380 | 0 | 166 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.33 | 2.75 | 0.00 | 1.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 2.026 | 0.080 | 0.000 | 1.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 177 | 447 | 0 | 181 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.21 | 3.06 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.152 | 1.930 | 0.073 | 0.000 | 0.599 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 201 | 481 | 0 | 210 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 2.64 | 0.00 | 1.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.171 | 2.361 | 0.083 | 0.000 | 1.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 231 | 512 | 0 | 231 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 2.38 | 0.00 | 1.07 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.189 | 2.657 | 0.082 | 0.000 | 0.669 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 1270 | 1156 | 0 | 304 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.36 | 3.97 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.333 | 7.295 | 0.210 | 0.000 | 1.213 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 1216 | 907 | 0 | 281 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.77 | 3.56 | 0.00 | 1.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.310 | 7.099 | 0.171 | 0.000 | 0.600 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 265 | 881 | 0 | 248 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.24 | 4.12 | 0.00 | 1.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.297 | 3.720 | 0.148 | 0.000 | 0.436 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 209 | 800 | 0 | 229 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.85 | 0.00 | 1.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.296 | 2.617 | 0.134 | 0.000 | 0.817 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 187 | 595 | 0 | 199 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 2.78 | 0.00 | 0.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.298 | 2.237 | 0.089 | 0.000 | 0.832 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 189 | 483 | 0 | 226 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 2.21 | 0.00 | 1.03 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.306 | 2.446 | 0.087 | 0.000 | 0.552 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 234 | 514 | 0 | 249 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 2.02 | 0.00 | 0.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.328 | 3.812 | 0.090 | 0.000 | 0.907 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 270 | 545 | 0 | 272 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 1.87 | 0.00 | 0.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.345 | 4.771 | 0.095 | 0.000 | 0.874 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 1324 | 1400 | 0 | 327 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.86 | 4.08 | 0.00 | 0.95 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.459 | 7.517 | 0.243 | 0.000 | 1.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 1267 | 1238 | 0 | 304 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.13 | 4.03 | 0.00 | 0.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.434 | 7.299 | 0.228 | 0.000 | 0.700 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 359 | 1072 | 0 | 281 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.32 | 3.96 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.418 | 5.552 | 0.182 | 0.000 | 0.839 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 316 | 1328 | 0 | 272 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.17 | 4.90 | 0.00 | 1.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.420 | 4.849 | 0.167 | 0.000 | 1.043 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 275 | 950 | 0 | 259 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 3.52 | 0.00 | 0.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.427 | 3.214 | 0.132 | 0.000 | 0.554 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 266 | 727 | 0 | 232 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 2.68 | 0.00 | 0.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.419 | 3.235 | 0.100 | 0.000 | 0.853 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 214 | 514 | 0 | 249 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 1.90 | 0.00 | 0.92 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.429 | 3.183 | 0.095 | 0.000 | 1.165 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 246 | 545 | 0 | 272 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.80 | 1.78 | 0.00 | 0.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.447 | 5.222 | 0.098 | 0.000 | 1.809 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 300 | 576 | 0 | 295 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 1.68 | 0.00 | 0.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.473 | 6.535 | 0.102 | 0.000 | 0.456 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 1307 | 785 | 0 | 369 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.23 | 3.14 | 0.00 | 1.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.187 | 8.172 | 0.159 | 0.000 | 0.848 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 1261 | 467 | 0 | 335 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.15 | 2.28 | 0.00 | 1.63 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.167 | 7.630 | 0.131 | 0.000 | 0.765 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 1224 | 353 | 0 | 275 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.56 | 2.18 | 0.00 | 1.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.144 | 6.905 | 0.115 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 1243 | 281 | 0 | 266 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.35 | 2.11 | 0.00 | 2.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.141 | 6.603 | 0.078 | 0.000 | 1.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 1287 | 300 | 0 | 287 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.40 | 1.72 | 0.00 | 1.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.161 | 6.749 | 0.077 | 0.000 | 0.623 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 1350 | 320 | 0 | 307 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 6.31 | 1.50 | 0.00 | 1.43 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.173 | 6.845 | 0.083 | 0.000 | 1.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 1406 | 341 | 0 | 327 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.62 | 1.36 | 0.00 | 1.31 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.187 | 6.959 | 0.080 | 0.000 | 1.446 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 1347 | 724 | 0 | 464 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.37 | 2.88 | 0.00 | 1.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.273 | 8.014 | 0.157 | 0.000 | 1.207 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 567 | 559 | 0 | 385 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.74 | 2.70 | 0.00 | 1.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.261 | 4.595 | 0.115 | 0.000 | 0.630 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 1097 | 509 | 0 | 381 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 6.34 | 2.94 | 0.00 | 2.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.237 | 6.905 | 0.092 | 0.000 | 0.395 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 1114 | 509 | 0 | 385 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.05 | 2.77 | 0.00 | 2.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.254 | 7.026 | 0.096 | 0.000 | 1.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 1382 | 472 | 0 | 416 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.28 | 2.15 | 0.00 | 1.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.285 | 7.185 | 0.096 | 0.000 | 0.597 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 1442 | 491 | 0 | 435 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.68 | 1.93 | 0.00 | 1.71 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.279 | 7.315 | 0.099 | 0.000 | 1.222 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 1462 | 1013 | 0 | 593 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.75 | 3.29 | 0.00 | 1.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.418 | 8.855 | 0.173 | 0.000 | 1.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 1430 | 789 | 0 | 534 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.32 | 2.93 | 0.00 | 1.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.392 | 7.581 | 0.112 | 0.000 | 1.157 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 1425 | 624 | 0 | 529 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.17 | 2.70 | 0.00 | 2.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.362 | 7.271 | 0.105 | 0.000 | 0.580 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 1431 | 624 | 0 | 529 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.19 | 2.70 | 0.00 | 2.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.369 | 7.362 | 0.103 | 0.000 | 1.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 1449 | 624 | 0 | 535 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.01 | 2.59 | 0.00 | 2.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.364 | 7.569 | 0.144 | 0.000 | 0.772 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 1497 | 638 | 0 | 546 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.46 | 2.33 | 0.00 | 1.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.386 | 7.745 | 0.140 | 0.000 | 0.719 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 1555 | 666 | 0 | 563 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.97 | 2.13 | 0.00 | 1.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.413 | 7.917 | 0.144 | 0.000 | 1.384 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 179 | 638 | 6492 | 506 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 2.81 | 28.60 | 2.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.343 | 2.216 | 0.435 | 1.104 | 5.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 141 | 543 | 4002 | 466 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 3.03 | 22.36 | 2.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.270 | 1.261 | 0.213 | 0.852 | 4.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 109 | 452 | 2167 | 414 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 3.45 | 16.54 | 3.16 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.220 | 0.862 | 0.191 | 0.764 | 3.149 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 94 | 343 | 923 | 342 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 2.88 | 7.76 | 2.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.217 | 0.621 | 0.235 | 0.695 | 3.896 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 94 | 210 | 373 | 358 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.75 | 3.11 | 2.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.215 | 0.749 | 0.218 | 0.659 | 2.994 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 77 | 99 | 335 | 94 | 0 | 0 | 115 |
N.S. | 1 | 1.00 | 0.60 | 0.77 | 2.60 | 0.73 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.236 | 0.550 | 0.210 | 0.666 | 2.280 | 0.000 | 0.000 | 4.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 99 | 130 | 609 | 115 | 0 | 0 | 151 |
N.S. |
1 | 1.00 | 0.56 | 0.73 | 3.42 | 0.65 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.286 | 0.931 | 0.218 | 0.710 | 2.596 | 0.000 | 0.000 | 6.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 121 | 163 | 878 | 136 | 0 | 0 | 187 |
N.S. |
1 | 1.00 | 0.54 | 0.72 | 3.88 | 0.60 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.331 | 1.479 | 0.230 | 0.707 | 3.049 | 0.000 | 0.000 | 7.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 211 | 732 | 10749 | 560 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 2.59 | 37.98 | 1.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.490 | 3.812 | 0.220 | 1.767 | 5.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 177 | 637 | 8121 | 518 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 2.73 | 34.85 | 2.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.423 | 2.499 | 0.201 | 1.145 | 3.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 142 | 546 | 5748 | 476 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 3.02 | 31.76 | 2.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.351 | 1.582 | 0.181 | 0.884 | 3.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 129 | 533 | 3661 | 446 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.91 | 20.01 | 2.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.352 | 1.313 | 0.201 | 0.802 | 2.924 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 122 | 383 | 1455 | 404 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 2.16 | 8.22 | 2.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.347 | 1.138 | 0.231 | 0.698 | 3.583 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 162 | 245 | 522 | 410 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 1.42 | 3.03 | 2.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.336 | 1.906 | 0.227 | 0.673 | 2.849 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 100 | 131 | 550 | 118 | 0 | 0 | 152 |
N.S. |
1 | 1.00 | 0.55 | 0.72 | 3.04 | 0.65 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.312 | 1.038 | 0.208 | 0.654 | 3.285 | 0.000 | 0.000 | 6.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 123 | 164 | 908 | 140 | 0 | 0 | 188 |
N.S. |
1 | 1.00 | 0.53 | 0.71 | 3.91 | 0.60 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.443 | 1.721 | 0.221 | 0.701 | 2.781 | 0.000 | 0.000 | 8.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 158 | 197 | 1188 | 162 | 0 | 0 | 392 |
N.S. |
1 | 1.00 | 0.56 | 0.69 | 4.18 | 0.57 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.494 | 2.554 | 0.241 | 0.727 | 1.923 | 0.000 | 0.000 | 11.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 245 | 827 | 16461 | 634 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 2.48 | 49.43 | 1.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.631 | 4.930 | 0.237 | 3.297 | 2.636 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 213 | 732 | 12710 | 588 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 2.60 | 45.23 | 2.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.564 | 3.389 | 0.209 | 1.905 | 2.931 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 179 | 641 | 10154 | 542 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.75 | 43.58 | 2.33 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.497 | 2.264 | 0.194 | 3.931 | 4.818 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 158 | 568 | 17788 | 524 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 2.44 | 76.34 | 2.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.480 | 1.868 | 0.209 | 3.812 | 4.550 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 155 | 549 | 14913 | 510 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.36 | 64.00 | 2.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.480 | 1.370 | 0.201 | 3.702 | 3.710 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 149 | 420 | 12147 | 470 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.88 | 54.47 | 2.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.485 | 1.200 | 0.198 | 0.833 | 4.130 | 0.000 | 0.000 | 0.000 |