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(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 330 | 322 | 352 | 0 | 1940 | 0 | 710 | 438 |
N.S. |
1 | 1.20 | 1.17 | 1.28 | 0.00 | 7.03 | 0.00 | 2.57 | 1.59 |
time (sec) |
N/A | 0.385 | 9.589 | 0.786 | 0.000 | 3.547 | 0.000 | 0.693 | 5.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 333 | 380 | 573 | 757 | 348 | 0 | 584 | 411 |
N.S. | 1 | 1.16 | 1.32 | 1.99 | 2.63 | 1.21 | 0.00 | 2.03 | 1.43 |
time (sec) |
N/A | 0.283 | 2.650 | 0.458 | 0.295 | 3.145 | 0.000 | 0.601 | 5.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 273 | 433 | 385 | 496 | 255 | 0 | 376 | 287 |
N.S. | 1 | 1.06 | 1.68 | 1.50 | 1.93 | 0.99 | 0.00 | 1.46 | 1.12 |
time (sec) |
N/A | 0.198 | 2.514 | 0.382 | 0.294 | 3.840 | 0.000 | 0.620 | 5.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 273 | 219 | 284 | 170 | 0 | 212 | 203 |
N.S. | 1 | 1.00 | 2.18 | 1.75 | 2.27 | 1.36 | 0.00 | 1.70 | 1.62 |
time (sec) |
N/A | 0.100 | 1.307 | 0.313 | 0.287 | 2.145 | 0.000 | 0.507 | 5.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 257 | 419 | 224 | 0 | 556 | 0 | 285 | 1902 |
N.S. |
1 | 1.68 | 2.74 | 1.46 | 0.00 | 3.63 | 0.00 | 1.86 | 12.43 |
time (sec) |
N/A | 0.220 | 2.430 | 0.379 | 0.000 | 3.448 | 0.000 | 0.568 | 2.892 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 274 | 455 | 216 | 0 | 891 | 0 | 317 | 3135 |
N.S. |
1 | 1.70 | 2.83 | 1.34 | 0.00 | 5.53 | 0.00 | 1.97 | 19.47 |
time (sec) |
N/A | 0.241 | 4.174 | 0.444 | 0.000 | 2.716 | 0.000 | 0.505 | 5.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 301 | 393 | 227 | 0 | 1208 | 0 | 376 | 2500 |
N.S. |
1 | 1.60 | 2.09 | 1.21 | 0.00 | 6.43 | 0.00 | 2.00 | 13.30 |
time (sec) |
N/A | 0.275 | 3.480 | 0.608 | 0.000 | 4.272 | 0.000 | 0.642 | 8.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 227 | 398 | 227 | 0 | 1038 | 0 | 307 | 264 |
N.S. |
1 | 1.28 | 2.24 | 1.28 | 0.00 | 5.83 | 0.00 | 1.72 | 1.48 |
time (sec) |
N/A | 0.163 | 3.516 | 0.574 | 0.000 | 2.652 | 0.000 | 0.600 | 4.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 327 | 274 | 303 | 0 | 1746 | 0 | 601 | 385 |
N.S. |
1 | 1.23 | 1.03 | 1.14 | 0.00 | 6.56 | 0.00 | 2.26 | 1.45 |
time (sec) |
N/A | 0.232 | 9.060 | 0.897 | 0.000 | 2.550 | 0.000 | 0.654 | 5.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 236 | 1243 | 309 | 646 | 309 | 0 | 344 | 211 |
N.S. | 1 | 1.29 | 6.79 | 1.69 | 3.53 | 1.69 | 0.00 | 1.88 | 1.15 |
time (sec) |
N/A | 0.222 | 6.494 | 0.223 | 0.287 | 2.513 | 0.000 | 0.559 | 2.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 171 | 275 | 208 | 420 | 227 | 0 | 219 | 139 |
N.S. | 1 | 1.46 | 2.35 | 1.78 | 3.59 | 1.94 | 0.00 | 1.87 | 1.19 |
time (sec) |
N/A | 0.163 | 2.640 | 0.190 | 0.292 | 2.275 | 0.000 | 0.521 | 1.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 125 | 237 | 127 | 241 | 165 | 0 | 136 | 85 |
N.S. | 1 | 1.84 | 3.49 | 1.87 | 3.54 | 2.43 | 0.00 | 2.00 | 1.25 |
time (sec) |
N/A | 0.094 | 1.749 | 0.187 | 0.272 | 2.031 | 0.000 | 0.540 | 1.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 109 | 61 | 107 | 80 | 0 | 70 | 41 |
N.S. | 1 | 1.00 | 2.53 | 1.42 | 2.49 | 1.86 | 0.00 | 1.63 | 0.95 |
time (sec) |
N/A | 0.054 | 0.285 | 0.168 | 0.284 | 3.247 | 0.000 | 0.489 | 1.727 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 134 | 160 | 74 | 0 | 367 | 0 | 110 | 110 |
N.S. |
1 | 1.61 | 1.93 | 0.89 | 0.00 | 4.42 | 0.00 | 1.33 | 1.33 |
time (sec) |
N/A | 0.111 | 0.695 | 0.211 | 0.000 | 3.083 | 0.000 | 0.472 | 1.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 196 | 286 | 146 | 0 | 711 | 0 | 221 | 187 |
N.S. |
1 | 1.35 | 1.97 | 1.01 | 0.00 | 4.90 | 0.00 | 1.52 | 1.29 |
time (sec) |
N/A | 0.171 | 3.254 | 0.311 | 0.000 | 2.050 | 0.000 | 0.465 | 2.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 268 | 1422 | 221 | 0 | 1357 | 0 | 362 | 379 |
N.S. |
1 | 1.29 | 6.87 | 1.07 | 0.00 | 6.56 | 0.00 | 1.75 | 1.83 |
time (sec) |
N/A | 0.279 | 6.836 | 0.422 | 0.000 | 2.465 | 0.000 | 0.552 | 2.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 315 | 446 | 436 | 836 | 472 | 0 | 506 | 268 |
N.S. | 1 | 1.22 | 1.73 | 1.69 | 3.24 | 1.83 | 0.00 | 1.96 | 1.04 |
time (sec) |
N/A | 0.291 | 4.178 | 0.279 | 0.292 | 1.619 | 0.000 | 0.590 | 1.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 249 | 310 | 317 | 580 | 376 | 0 | 359 | 193 |
N.S. | 1 | 1.29 | 1.61 | 1.64 | 3.01 | 1.95 | 0.00 | 1.86 | 1.00 |
time (sec) |
N/A | 0.213 | 2.883 | 0.236 | 0.288 | 2.316 | 0.000 | 0.560 | 1.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 193 | 294 | 216 | 370 | 282 | 0 | 250 | 136 |
N.S. | 1 | 1.45 | 2.21 | 1.62 | 2.78 | 2.12 | 0.00 | 1.88 | 1.02 |
time (sec) |
N/A | 0.158 | 1.641 | 0.217 | 0.294 | 1.482 | 0.000 | 0.511 | 1.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 149 | 181 | 131 | 211 | 165 | 0 | 158 | 89 |
N.S. | 1 | 1.67 | 2.03 | 1.47 | 2.37 | 1.85 | 0.00 | 1.78 | 1.00 |
time (sec) |
N/A | 0.100 | 0.781 | 0.206 | 0.279 | 2.867 | 0.000 | 0.478 | 1.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 76 | 60 | 101 | 62 | 0 | 60 | 45 |
N.S. | 1 | 1.00 | 1.17 | 0.92 | 1.55 | 0.95 | 0.00 | 0.92 | 0.69 |
time (sec) |
N/A | 0.057 | 0.223 | 0.168 | 0.275 | 2.226 | 0.000 | 0.450 | 1.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 183 | 209 | 122 | 0 | 618 | 0 | 249 | 168 |
N.S. |
1 | 1.42 | 1.62 | 0.95 | 0.00 | 4.79 | 0.00 | 1.93 | 1.30 |
time (sec) |
N/A | 0.167 | 1.719 | 0.240 | 0.000 | 2.362 | 0.000 | 0.502 | 1.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 260 | 376 | 203 | 0 | 1268 | 0 | 474 | 314 |
N.S. |
1 | 1.23 | 1.78 | 0.96 | 0.00 | 6.01 | 0.00 | 2.25 | 1.49 |
time (sec) |
N/A | 0.251 | 3.930 | 0.362 | 0.000 | 2.840 | 0.000 | 0.527 | 2.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 346 | 2220 | 280 | 0 | 2062 | 0 | 751 | 505 |
N.S. |
1 | 1.22 | 7.82 | 0.99 | 0.00 | 7.26 | 0.00 | 2.64 | 1.78 |
time (sec) |
N/A | 0.384 | 7.391 | 0.478 | 0.000 | 2.369 | 0.000 | 0.565 | 2.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 363 | 405 | 1338 | 579 | 1026 | 640 | 0 | 672 | 327 |
N.S. | 1 | 1.12 | 3.69 | 1.60 | 2.83 | 1.76 | 0.00 | 1.85 | 0.90 |
time (sec) |
N/A | 0.353 | 6.723 | 0.266 | 0.322 | 1.775 | 0.000 | 0.732 | 1.908 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 329 | 439 | 441 | 747 | 521 | 0 | 504 | 252 |
N.S. | 1 | 1.15 | 1.53 | 1.54 | 2.60 | 1.82 | 0.00 | 1.76 | 0.88 |
time (sec) |
N/A | 0.277 | 2.124 | 0.280 | 0.300 | 1.858 | 0.000 | 0.607 | 1.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 265 | 292 | 321 | 515 | 403 | 0 | 374 | 195 |
N.S. | 1 | 1.29 | 1.42 | 1.57 | 2.51 | 1.97 | 0.00 | 1.82 | 0.95 |
time (sec) |
N/A | 0.188 | 2.403 | 0.240 | 0.292 | 1.347 | 0.000 | 0.576 | 1.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 193 | 295 | 216 | 333 | 262 | 0 | 259 | 147 |
N.S. | 1 | 1.45 | 2.22 | 1.62 | 2.50 | 1.97 | 0.00 | 1.95 | 1.11 |
time (sec) |
N/A | 0.136 | 1.473 | 0.225 | 0.301 | 2.342 | 0.000 | 0.544 | 1.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 180 | 74 | 200 | 119 | 0 | 129 | 79 |
N.S. | 1 | 1.00 | 1.57 | 0.64 | 1.74 | 1.03 | 0.00 | 1.12 | 0.69 |
time (sec) |
N/A | 0.106 | 0.491 | 0.198 | 0.285 | 1.436 | 0.000 | 0.508 | 1.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 135 | 64 | 125 | 99 | 0 | 75 | 66 |
N.S. | 1 | 1.00 | 1.32 | 0.63 | 1.23 | 0.97 | 0.00 | 0.74 | 0.65 |
time (sec) |
N/A | 0.081 | 0.349 | 0.224 | 0.282 | 3.146 | 0.000 | 0.478 | 1.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 235 | 345 | 203 | 0 | 1027 | 0 | 471 | 228 |
N.S. |
1 | 1.30 | 1.91 | 1.12 | 0.00 | 5.67 | 0.00 | 2.60 | 1.26 |
time (sec) |
N/A | 0.234 | 3.062 | 0.301 | 0.000 | 3.023 | 0.000 | 0.529 | 1.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 325 | 1772 | 284 | 0 | 1725 | 0 | 918 | 464 |
N.S. |
1 | 1.13 | 6.15 | 0.99 | 0.00 | 5.99 | 0.00 | 3.19 | 1.61 |
time (sec) |
N/A | 0.342 | 7.103 | 0.404 | 0.000 | 3.516 | 0.000 | 0.579 | 2.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 414 | 1096 | 365 | 0 | 2715 | 0 | 1369 | 655 |
N.S. |
1 | 1.12 | 2.98 | 0.99 | 0.00 | 7.38 | 0.00 | 3.72 | 1.78 |
time (sec) |
N/A | 0.501 | 7.882 | 0.549 | 0.000 | 4.294 | 0.000 | 0.640 | 2.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 102 | 302 | 0 | 327 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.67 | 4.95 | 0.00 | 5.36 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.093 | 0.247 | 3.576 | 0.000 | 2.531 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 187 | 503 | 0 | 1120 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.34 | 3.59 | 0.00 | 8.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.295 | 18.487 | 3.637 | 0.000 | 5.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 107 | 170 | 0 | 262 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.37 | 2.18 | 0.00 | 3.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.218 | 3.490 | 0.000 | 4.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 171 | 403 | 0 | 1172 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.21 | 2.86 | 0.00 | 8.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.335 | 0.277 | 3.403 | 0.000 | 3.902 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 94 | 432 | 0 | 360 | 0 | 139 | -1 |
N.S. | 1 | 1.00 | 1.54 | 7.08 | 0.00 | 5.90 | 0.00 | 2.28 | -0.02 |
time (sec) |
N/A | 0.090 | 0.224 | 8.218 | 0.000 | 2.704 | 0.000 | 0.868 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 427 | 568 | 0 | 1196 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.87 | 3.81 | 0.00 | 8.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.368 | 1.399 | 13.197 | 0.000 | 8.049 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 229015 | 520 | 0 | 1021 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1877.17 | 4.26 | 0.00 | 8.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.192 | 33.848 | 9.033 | 0.000 | 3.717 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 141 | 518 | 0 | 1099 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 4.18 | 0.00 | 8.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.235 | 0.406 | 9.424 | 0.000 | 3.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 198 | 473 | 0 | 1167 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.83 | 0.00 | 6.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.376 | 0.412 | 13.859 | 0.000 | 4.416 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 155 | 727 | 0 | 1695 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 3.15 | 0.00 | 7.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.514 | 0.355 | 13.784 | 0.000 | 110.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 201 | 313 | 410 | 291 | 0 | 850 | 555 |
N.S. | 1 | 1.00 | 0.80 | 1.25 | 1.64 | 1.16 | 0.00 | 3.40 | 2.22 |
time (sec) |
N/A | 0.343 | 4.103 | 0.399 | 0.286 | 3.058 | 0.000 | 0.586 | 5.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 143 | 223 | 288 | 220 | 0 | 586 | 395 |
N.S. | 1 | 1.00 | 0.79 | 1.24 | 1.60 | 1.22 | 0.00 | 3.26 | 2.19 |
time (sec) |
N/A | 0.242 | 1.157 | 0.345 | 0.278 | 2.394 | 0.000 | 0.527 | 5.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 88 | 143 | 179 | 158 | 0 | 294 | 227 |
N.S. | 1 | 1.00 | 0.77 | 1.24 | 1.56 | 1.37 | 0.00 | 2.56 | 1.97 |
time (sec) |
N/A | 0.132 | 0.616 | 0.259 | 0.298 | 3.001 | 0.000 | 0.506 | 5.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 75 | 75 | 96 | 103 | 0 | 153 | 104 |
N.S. | 1 | 1.00 | 1.23 | 1.23 | 1.57 | 1.69 | 0.00 | 2.51 | 1.70 |
time (sec) |
N/A | 0.055 | 0.036 | 0.188 | 0.279 | 2.117 | 0.000 | 0.465 | 2.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 328 | 0 | 127 | 573 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.32 | 0.00 | 1.67 | 7.54 |
time (sec) |
N/A | 0.099 | 0.193 | 0.272 | 0.000 | 5.433 | 0.000 | 0.536 | 2.730 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 97 | 132 | 0 | 403 | 0 | 172 | 106 |
N.S. |
1 | 1.00 | 0.98 | 1.33 | 0.00 | 4.07 | 0.00 | 1.74 | 1.07 |
time (sec) |
N/A | 0.109 | 0.373 | 0.233 | 0.000 | 2.625 | 0.000 | 0.480 | 2.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 172 | 236 | 0 | 772 | 0 | 399 | 250 |
N.S. |
1 | 1.00 | 1.04 | 1.42 | 0.00 | 4.65 | 0.00 | 2.40 | 1.51 |
time (sec) |
N/A | 0.222 | 0.851 | 0.364 | 0.000 | 3.040 | 0.000 | 0.551 | 4.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 405 | 376 | 0 | 1264 | 0 | 693 | 439 |
N.S. |
1 | 1.00 | 1.71 | 1.59 | 0.00 | 5.33 | 0.00 | 2.92 | 1.85 |
time (sec) |
N/A | 0.378 | 1.039 | 0.494 | 0.000 | 2.975 | 0.000 | 0.543 | 6.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 580 | 480 | 0 | 1119 | 0 | 606 | 2500 |
N.S. |
1 | 1.00 | 2.35 | 1.94 | 0.00 | 4.53 | 0.00 | 2.45 | 10.12 |
time (sec) |
N/A | 0.303 | 4.456 | 0.633 | 0.000 | 183.450 | 0.000 | 0.565 | 11.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 389 | 289 | 0 | 803 | 0 | 339 | 2500 |
N.S. |
1 | 1.00 | 2.29 | 1.70 | 0.00 | 4.72 | 0.00 | 1.99 | 14.71 |
time (sec) |
N/A | 0.240 | 1.461 | 0.484 | 0.000 | 38.069 | 0.000 | 0.562 | 9.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 135 | 165 | 0 | 540 | 0 | 195 | 2500 |
N.S. |
1 | 1.00 | 1.31 | 1.60 | 0.00 | 5.24 | 0.00 | 1.89 | 24.27 |
time (sec) |
N/A | 0.204 | 0.832 | 0.366 | 0.000 | 8.621 | 0.000 | 0.507 | 7.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 321 | 0 | 127 | 571 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.22 | 0.00 | 1.67 | 7.51 |
time (sec) |
N/A | 0.089 | 0.182 | 0.294 | 0.000 | 2.907 | 0.000 | 0.518 | 2.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 119 | 108 | 0 | 1072 | 0 | 522 | 2665 |
N.S. |
1 | 1.00 | 0.98 | 0.89 | 0.00 | 8.86 | 0.00 | 4.31 | 22.02 |
time (sec) |
N/A | 0.191 | 0.234 | 0.467 | 0.000 | 5.018 | 0.000 | 0.580 | 4.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 229 | 208 | 0 | 2863 | 0 | 331 | 2500 |
N.S. |
1 | 1.00 | 1.22 | 1.11 | 0.00 | 15.31 | 0.00 | 1.77 | 13.37 |
time (sec) |
N/A | 0.422 | 0.709 | 1.177 | 0.000 | 98.584 | 0.000 | 0.544 | 15.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 379 | 379 | 1137 | 689 | 0 | 0 | 0 | 857 | 2500 |
N.S. |
1 | 1.00 | 3.00 | 1.82 | 0.00 | 0.00 | 0.00 | 2.26 | 6.60 |
time (sec) |
N/A | 0.477 | 6.527 | 1.465 | 0.000 | 0.000 | 0.000 | 0.624 | 16.949 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 511 | 465 | 0 | 0 | 0 | 551 | 2500 |
N.S. |
1 | 1.00 | 1.72 | 1.57 | 0.00 | 0.00 | 0.00 | 1.86 | 8.42 |
time (sec) |
N/A | 0.382 | 4.008 | 1.089 | 0.000 | 0.000 | 0.000 | 0.554 | 14.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 362 | 314 | 0 | 1358 | 0 | 539 | 2500 |
N.S. |
1 | 1.00 | 1.59 | 1.38 | 0.00 | 5.96 | 0.00 | 2.36 | 10.96 |
time (sec) |
N/A | 0.337 | 1.764 | 0.778 | 0.000 | 106.479 | 0.000 | 0.581 | 11.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 180 | 215 | 0 | 820 | 0 | 267 | 2500 |
N.S. |
1 | 1.00 | 0.91 | 1.09 | 0.00 | 4.14 | 0.00 | 1.35 | 12.63 |
time (sec) |
N/A | 0.261 | 0.710 | 0.559 | 0.000 | 14.501 | 0.000 | 0.514 | 9.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 97 | 132 | 0 | 408 | 0 | 173 | 106 |
N.S. |
1 | 1.00 | 0.97 | 1.32 | 0.00 | 4.08 | 0.00 | 1.73 | 1.06 |
time (sec) |
N/A | 0.099 | 0.396 | 0.242 | 0.000 | 2.765 | 0.000 | 0.495 | 2.199 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 176 | 210 | 0 | 2900 | 0 | 330 | 2500 |
N.S. |
1 | 1.00 | 0.95 | 1.13 | 0.00 | 15.59 | 0.00 | 1.77 | 13.44 |
time (sec) |
N/A | 0.416 | 1.026 | 1.204 | 0.000 | 166.846 | 0.000 | 0.524 | 15.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 183 | 355 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.201 | 3.779 | 4.942 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 44216 | 351 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 225.59 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.131 | 35.522 | 4.161 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 233 | 219 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.21 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.113 | 3.520 | 3.926 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 176 | 177 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.60 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 1.796 | 9.728 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 176 | 170 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.41 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.448 | 11.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 39039 | 291 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 98.58 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.412 | 35.332 | 4.191 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 223 | 481 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.31 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.574 | 13.602 | 6.339 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 83 | 254 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.284 | 0.250 | 6.539 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 222 | 461 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.32 | 2.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.703 | 13.515 | 6.229 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 264 | 153 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.78 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 5.361 | 5.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 0 | 308 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.617 | 19.733 | 6.759 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 375 | 225 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.79 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.197 | 13.976 | 4.812 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 156 | 224 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.246 | 4.842 | 5.118 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 1019 | 238 | 0 | 535 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.45 | 1.04 | 0.00 | 2.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.303 | 8.308 | 6.823 | 0.000 | 1.017 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 312 | 312 | 0 | 357 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.598 | 14.730 | 6.546 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 183 | 355 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.190 | 0.405 | 5.237 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 223 | 481 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.31 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.570 | 13.484 | 6.856 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 187 | 236 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.83 | 2.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 6.739 | 5.589 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 165 | 236 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.252 | 3.080 | 5.815 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 83 | 254 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.295 | 0.239 | 6.736 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 246 | 346 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.48 | 2.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.599 | 13.676 | 6.277 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 151 | 49 | 74 | 131 | 0 | 47 | 47 |
N.S. | 1 | 1.00 | 2.25 | 0.73 | 1.10 | 1.96 | 0.00 | 0.70 | 0.70 |
time (sec) |
N/A | 0.218 | 0.974 | 0.251 | 0.280 | 2.448 | 0.000 | 1.259 | 1.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 175 | 62 | 96 | 158 | 0 | 60 | 60 |
N.S. | 1 | 1.00 | 1.97 | 0.70 | 1.08 | 1.78 | 0.00 | 0.67 | 0.67 |
time (sec) |
N/A | 0.234 | 1.141 | 0.270 | 0.287 | 2.636 | 0.000 | 1.336 | 2.429 |