Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 462 | 322 | 352 | 0 | 1908 | 0 | 710 | 438 |
N.S. |
1 | 1.67 | 1.17 | 1.28 | 0.00 | 6.91 | 0.00 | 2.57 | 1.59 |
time (sec) |
N/A | 0.604 | 8.011 | 1.439 | 0.000 | 0.401 | 0.000 | 0.506 | 17.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 345 | 170 | 355 | 701 | 337 | 0 | 584 | 411 |
N.S. |
1 | 1.20 | 0.59 | 1.23 | 2.43 | 1.17 | 0.00 | 2.03 | 1.43 |
time (sec) |
N/A | 0.477 | 6.094 | 6.190 | 0.242 | 0.282 | 0.000 | 0.441 | 17.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 309 | 130 | 257 | 459 | 245 | 0 | 376 | 287 |
N.S. |
1 | 1.20 | 0.51 | 1.00 | 1.79 | 0.95 | 0.00 | 1.46 | 1.12 |
time (sec) |
N/A | 0.414 | 4.434 | 4.535 | 0.242 | 0.282 | 0.000 | 0.377 | 17.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 110 | 173 | 175 | 262 | 161 | 0 | 212 | 203 |
N.S. |
1 | 0.88 | 1.38 | 1.40 | 2.10 | 1.29 | 0.00 | 1.70 | 1.62 |
time (sec) |
N/A | 0.410 | 1.044 | 3.983 | 0.227 | 0.289 | 0.000 | 0.338 | 16.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 265 | 419 | 224 | 0 | 532 | 0 | 285 | 1902 |
N.S. |
1 | 1.73 | 2.74 | 1.46 | 0.00 | 3.48 | 0.00 | 1.86 | 12.43 |
time (sec) |
N/A | 0.491 | 3.378 | 0.870 | 0.000 | 0.534 | 0.000 | 0.367 | 14.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 284 | 455 | 216 | 0 | 859 | 0 | 317 | 3135 |
N.S. |
1 | 1.76 | 2.83 | 1.34 | 0.00 | 5.34 | 0.00 | 1.97 | 19.47 |
time (sec) |
N/A | 0.477 | 5.178 | 1.076 | 0.000 | 0.563 | 0.000 | 0.366 | 16.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 330 | 393 | 227 | 0 | 1176 | 0 | 376 | 4131 |
N.S. |
1 | 1.76 | 2.09 | 1.21 | 0.00 | 6.26 | 0.00 | 2.00 | 21.97 |
time (sec) |
N/A | 0.510 | 4.327 | 1.070 | 0.000 | 0.601 | 0.000 | 0.419 | 20.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 288 | 398 | 227 | 0 | 1012 | 0 | 307 | 264 |
N.S. |
1 | 1.62 | 2.24 | 1.28 | 0.00 | 5.69 | 0.00 | 1.72 | 1.48 |
time (sec) |
N/A | 0.408 | 3.881 | 1.215 | 0.000 | 0.342 | 0.000 | 0.392 | 17.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 371 | 274 | 303 | 0 | 1714 | 0 | 601 | 385 |
N.S. |
1 | 1.39 | 1.03 | 1.14 | 0.00 | 6.44 | 0.00 | 2.26 | 1.45 |
time (sec) |
N/A | 0.457 | 6.449 | 1.695 | 0.000 | 0.363 | 0.000 | 0.484 | 17.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 305 | 1243 | 275 | 596 | 297 | 0 | 344 | 211 |
N.S. |
1 | 1.67 | 6.79 | 1.50 | 3.26 | 1.62 | 0.00 | 1.88 | 1.15 |
time (sec) |
N/A | 0.472 | 7.845 | 0.974 | 0.224 | 0.274 | 0.000 | 0.366 | 14.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 215 | 78 | 181 | 388 | 216 | 0 | 219 | 139 |
N.S. |
1 | 1.84 | 0.67 | 1.55 | 3.32 | 1.85 | 0.00 | 1.87 | 1.19 |
time (sec) |
N/A | 0.426 | 1.604 | 0.832 | 0.223 | 0.284 | 0.000 | 0.333 | 13.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 169 | 237 | 103 | 223 | 155 | 0 | 136 | 85 |
N.S. |
1 | 2.49 | 3.49 | 1.51 | 3.28 | 2.28 | 0.00 | 2.00 | 1.25 |
time (sec) |
N/A | 0.336 | 2.657 | 0.712 | 0.217 | 0.275 | 0.000 | 0.313 | 13.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 109 | 53 | 99 | 74 | 0 | 70 | 41 |
N.S. |
1 | 1.00 | 2.53 | 1.23 | 2.30 | 1.72 | 0.00 | 1.63 | 0.95 |
time (sec) |
N/A | 0.353 | 0.896 | 0.664 | 0.200 | 0.270 | 0.000 | 0.304 | 13.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 154 | 160 | 74 | 0 | 353 | 0 | 110 | 110 |
N.S. |
1 | 1.86 | 1.93 | 0.89 | 0.00 | 4.25 | 0.00 | 1.33 | 1.33 |
time (sec) |
N/A | 0.372 | 1.062 | 0.700 | 0.000 | 0.293 | 0.000 | 0.314 | 13.585 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 234 | 286 | 146 | 0 | 691 | 0 | 221 | 187 |
N.S. |
1 | 1.61 | 1.97 | 1.01 | 0.00 | 4.77 | 0.00 | 1.52 | 1.29 |
time (sec) |
N/A | 0.411 | 3.139 | 0.795 | 0.000 | 0.321 | 0.000 | 0.312 | 13.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 328 | 1422 | 221 | 0 | 1331 | 0 | 362 | 379 |
N.S. |
1 | 1.58 | 6.87 | 1.07 | 0.00 | 6.43 | 0.00 | 1.75 | 1.83 |
time (sec) |
N/A | 0.507 | 7.449 | 0.986 | 0.000 | 0.356 | 0.000 | 0.379 | 14.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 392 | 446 | 382 | 772 | 456 | 0 | 506 | 268 |
N.S. |
1 | 1.52 | 1.73 | 1.48 | 2.99 | 1.77 | 0.00 | 1.96 | 1.04 |
time (sec) |
N/A | 0.590 | 7.419 | 1.269 | 0.236 | 0.309 | 0.000 | 0.439 | 13.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 302 | 310 | 275 | 536 | 361 | 0 | 359 | 193 |
N.S. |
1 | 1.56 | 1.61 | 1.42 | 2.78 | 1.87 | 0.00 | 1.86 | 1.00 |
time (sec) |
N/A | 0.479 | 5.100 | 1.013 | 0.234 | 0.306 | 0.000 | 0.364 | 13.699 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 222 | 294 | 175 | 342 | 268 | 0 | 250 | 136 |
N.S. |
1 | 1.67 | 2.21 | 1.32 | 2.57 | 2.02 | 0.00 | 1.88 | 1.02 |
time (sec) |
N/A | 0.436 | 3.648 | 0.843 | 0.249 | 0.284 | 0.000 | 0.364 | 13.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 178 | 181 | 84 | 195 | 155 | 0 | 158 | 89 |
N.S. |
1 | 2.00 | 2.03 | 0.94 | 2.19 | 1.74 | 0.00 | 1.78 | 1.00 |
time (sec) |
N/A | 0.344 | 2.407 | 0.652 | 0.217 | 0.274 | 0.000 | 0.321 | 13.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 64 | 76 | 42 | 93 | 58 | 0 | 60 | 45 |
N.S. |
1 | 0.98 | 1.17 | 0.65 | 1.43 | 0.89 | 0.00 | 0.92 | 0.69 |
time (sec) |
N/A | 0.341 | 0.797 | 0.694 | 0.212 | 0.267 | 0.000 | 0.288 | 13.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 219 | 209 | 122 | 0 | 598 | 0 | 249 | 168 |
N.S. |
1 | 1.70 | 1.62 | 0.95 | 0.00 | 4.64 | 0.00 | 1.93 | 1.30 |
time (sec) |
N/A | 0.426 | 2.051 | 0.659 | 0.000 | 0.291 | 0.000 | 0.335 | 13.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 309 | 376 | 203 | 0 | 1242 | 0 | 474 | 314 |
N.S. |
1 | 1.46 | 1.78 | 0.96 | 0.00 | 5.89 | 0.00 | 2.25 | 1.49 |
time (sec) |
N/A | 0.481 | 3.961 | 0.794 | 0.000 | 0.331 | 0.000 | 0.328 | 14.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 420 | 2220 | 280 | 0 | 2030 | 0 | 751 | 505 |
N.S. |
1 | 1.48 | 7.82 | 0.99 | 0.00 | 7.15 | 0.00 | 2.64 | 1.78 |
time (sec) |
N/A | 0.598 | 8.182 | 1.080 | 0.000 | 0.363 | 0.000 | 0.403 | 14.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 363 | 501 | 1338 | 491 | 946 | 620 | 0 | 672 | 327 |
N.S. |
1 | 1.38 | 3.69 | 1.35 | 2.61 | 1.71 | 0.00 | 1.85 | 0.90 |
time (sec) |
N/A | 0.700 | 9.806 | 1.472 | 0.251 | 0.305 | 0.000 | 0.475 | 13.625 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 400 | 439 | 360 | 689 | 502 | 0 | 504 | 252 |
N.S. |
1 | 1.39 | 1.53 | 1.25 | 2.40 | 1.75 | 0.00 | 1.76 | 0.88 |
time (sec) |
N/A | 0.599 | 5.506 | 1.067 | 0.240 | 0.288 | 0.000 | 0.430 | 13.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 310 | 292 | 247 | 475 | 385 | 0 | 374 | 195 |
N.S. |
1 | 1.51 | 1.42 | 1.20 | 2.32 | 1.88 | 0.00 | 1.82 | 0.95 |
time (sec) |
N/A | 0.503 | 3.859 | 0.936 | 0.230 | 0.280 | 0.000 | 0.377 | 13.540 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 225 | 295 | 117 | 307 | 248 | 0 | 259 | 147 |
N.S. |
1 | 1.69 | 2.22 | 0.88 | 2.31 | 1.86 | 0.00 | 1.95 | 1.11 |
time (sec) |
N/A | 0.408 | 2.592 | 0.693 | 0.230 | 0.273 | 0.000 | 0.365 | 13.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 192 | 84 | 67 | 184 | 113 | 0 | 129 | 79 |
N.S. |
1 | 1.67 | 0.73 | 0.58 | 1.60 | 0.98 | 0.00 | 1.12 | 0.69 |
time (sec) |
N/A | 0.361 | 0.793 | 0.639 | 0.220 | 0.265 | 0.000 | 0.332 | 13.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 99 | 135 | 56 | 115 | 93 | 0 | 75 | 66 |
N.S. |
1 | 0.97 | 1.32 | 0.55 | 1.13 | 0.91 | 0.00 | 0.74 | 0.65 |
time (sec) |
N/A | 0.465 | 0.950 | 0.779 | 0.228 | 0.268 | 0.000 | 0.313 | 13.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 294 | 345 | 203 | 0 | 1001 | 0 | 471 | 228 |
N.S. |
1 | 1.62 | 1.91 | 1.12 | 0.00 | 5.53 | 0.00 | 2.60 | 1.26 |
time (sec) |
N/A | 0.483 | 3.164 | 0.726 | 0.000 | 0.304 | 0.000 | 0.361 | 13.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 392 | 1772 | 284 | 0 | 1693 | 0 | 918 | 464 |
N.S. |
1 | 1.36 | 6.15 | 0.99 | 0.00 | 5.88 | 0.00 | 3.19 | 1.61 |
time (sec) |
N/A | 0.590 | 7.962 | 0.893 | 0.000 | 0.341 | 0.000 | 0.391 | 13.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 368 | 508 | 1096 | 365 | 0 | 2677 | 0 | 1369 | 655 |
N.S. |
1 | 1.38 | 2.98 | 0.99 | 0.00 | 7.27 | 0.00 | 3.72 | 1.78 |
time (sec) |
N/A | 0.699 | 9.054 | 1.208 | 0.000 | 0.395 | 0.000 | 0.468 | 14.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 102 | 278 | 0 | 307 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.67 | 4.56 | 0.00 | 5.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 0.723 | 5.513 | 0.000 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 187 | 478 | 0 | 1048 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.34 | 3.41 | 0.00 | 7.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.844 | 14.280 | 5.300 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 107 | 135 | 0 | 246 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.37 | 1.73 | 0.00 | 3.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 0.790 | 2.860 | 0.000 | 0.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 171 | 366 | 0 | 1100 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 2.60 | 0.00 | 7.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.871 | 0.851 | 5.157 | 0.000 | 0.512 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 94 | 424 | 0 | 343 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.54 | 6.95 | 0.00 | 5.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.387 | 19.377 | 0.000 | 0.445 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 188 | 685 | 0 | 1126 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.26 | 4.60 | 0.00 | 7.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.937 | 2.035 | 22.714 | 0.000 | 4.814 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 144 | 504 | 0 | 963 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 4.13 | 0.00 | 7.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.657 | 1.433 | 19.783 | 0.000 | 0.488 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 141 | 504 | 0 | 1041 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 4.06 | 0.00 | 8.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.696 | 0.717 | 18.953 | 0.000 | 0.572 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 198 | 557 | 0 | 1103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 3.34 | 0.00 | 6.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.948 | 1.756 | 20.660 | 0.000 | 0.800 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 231 | 245 | 155 | 796 | 0 | 1597 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.67 | 3.45 | 0.00 | 6.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.413 | 1.489 | 22.869 | 0.000 | 52.752 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 266 | 201 | 237 | 379 | 281 | 0 | 850 | 555 |
N.S. |
1 | 1.06 | 0.80 | 0.95 | 1.52 | 1.12 | 0.00 | 3.40 | 2.22 |
time (sec) |
N/A | 1.415 | 2.840 | 5.139 | 0.232 | 0.295 | 0.000 | 0.367 | 17.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 191 | 143 | 185 | 266 | 211 | 0 | 586 | 395 |
N.S. |
1 | 1.06 | 0.79 | 1.03 | 1.48 | 1.17 | 0.00 | 3.26 | 2.19 |
time (sec) |
N/A | 1.047 | 0.775 | 3.814 | 0.255 | 0.276 | 0.000 | 0.361 | 17.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 121 | 88 | 118 | 165 | 150 | 0 | 294 | 227 |
N.S. |
1 | 1.05 | 0.77 | 1.03 | 1.43 | 1.30 | 0.00 | 2.56 | 1.97 |
time (sec) |
N/A | 0.686 | 0.453 | 3.395 | 0.225 | 0.278 | 0.000 | 0.339 | 17.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 64 | 75 | 75 | 88 | 96 | 0 | 153 | 104 |
N.S. |
1 | 1.05 | 1.23 | 1.23 | 1.44 | 1.57 | 0.00 | 2.51 | 1.70 |
time (sec) |
N/A | 0.429 | 0.018 | 2.275 | 0.229 | 0.291 | 0.000 | 0.308 | 14.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 316 | 0 | 127 | 573 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.16 | 0.00 | 1.67 | 7.54 |
time (sec) |
N/A | 0.479 | 0.480 | 0.768 | 0.000 | 0.632 | 0.000 | 0.346 | 14.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 110 | 97 | 132 | 0 | 389 | 0 | 172 | 106 |
N.S. |
1 | 1.11 | 0.98 | 1.33 | 0.00 | 3.93 | 0.00 | 1.74 | 1.07 |
time (sec) |
N/A | 0.500 | 0.427 | 0.770 | 0.000 | 0.306 | 0.000 | 0.313 | 13.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 191 | 172 | 236 | 0 | 752 | 0 | 399 | 250 |
N.S. |
1 | 1.15 | 1.04 | 1.42 | 0.00 | 4.53 | 0.00 | 2.40 | 1.51 |
time (sec) |
N/A | 0.802 | 1.136 | 0.884 | 0.000 | 0.325 | 0.000 | 0.375 | 16.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 278 | 405 | 376 | 0 | 1238 | 0 | 693 | 439 |
N.S. |
1 | 1.17 | 1.71 | 1.59 | 0.00 | 5.22 | 0.00 | 2.92 | 1.85 |
time (sec) |
N/A | 1.185 | 2.012 | 1.283 | 0.000 | 0.357 | 0.000 | 0.404 | 18.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 580 | 480 | 0 | 1093 | 0 | 606 | 9987 |
N.S. |
1 | 1.00 | 2.35 | 1.94 | 0.00 | 4.43 | 0.00 | 2.45 | 40.43 |
time (sec) |
N/A | 0.722 | 5.682 | 1.437 | 0.000 | 102.849 | 0.000 | 0.405 | 23.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 389 | 289 | 0 | 779 | 0 | 339 | 6730 |
N.S. |
1 | 1.00 | 2.29 | 1.70 | 0.00 | 4.58 | 0.00 | 1.99 | 39.59 |
time (sec) |
N/A | 0.622 | 3.112 | 1.038 | 0.000 | 22.065 | 0.000 | 0.397 | 21.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 135 | 165 | 0 | 518 | 0 | 195 | 3559 |
N.S. |
1 | 1.00 | 1.31 | 1.60 | 0.00 | 5.03 | 0.00 | 1.89 | 34.55 |
time (sec) |
N/A | 0.539 | 2.509 | 0.946 | 0.000 | 3.298 | 0.000 | 0.351 | 18.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 309 | 0 | 127 | 571 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.07 | 0.00 | 1.67 | 7.51 |
time (sec) |
N/A | 0.474 | 0.439 | 0.742 | 0.000 | 0.570 | 0.000 | 0.337 | 14.615 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 119 | 108 | 0 | 1040 | 0 | 522 | 2665 |
N.S. |
1 | 1.00 | 0.98 | 0.89 | 0.00 | 8.60 | 0.00 | 4.31 | 22.02 |
time (sec) |
N/A | 0.543 | 0.444 | 1.025 | 0.000 | 1.855 | 0.000 | 0.397 | 15.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 221 | 229 | 208 | 0 | 2863 | 0 | 331 | 20827 |
N.S. |
1 | 1.18 | 1.22 | 1.11 | 0.00 | 15.31 | 0.00 | 1.77 | 111.37 |
time (sec) |
N/A | 0.969 | 1.337 | 1.371 | 0.000 | 96.827 | 0.000 | 0.356 | 27.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 379 | 379 | 784 | 689 | 0 | 0 | 0 | 857 | 17256 |
N.S. |
1 | 1.00 | 2.07 | 1.82 | 0.00 | 0.00 | 0.00 | 2.26 | 45.53 |
time (sec) |
N/A | 0.986 | 10.090 | 2.507 | 0.000 | 0.000 | 0.000 | 0.449 | 28.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 511 | 465 | 0 | 1925 | 0 | 551 | 12483 |
N.S. |
1 | 1.00 | 1.72 | 1.57 | 0.00 | 6.48 | 0.00 | 1.86 | 42.03 |
time (sec) |
N/A | 0.820 | 5.400 | 1.725 | 0.000 | 170.550 | 0.000 | 0.390 | 26.195 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 362 | 314 | 0 | 1326 | 0 | 539 | 7958 |
N.S. |
1 | 1.00 | 1.59 | 1.38 | 0.00 | 5.82 | 0.00 | 2.36 | 34.90 |
time (sec) |
N/A | 0.717 | 3.408 | 1.467 | 0.000 | 39.313 | 0.000 | 0.379 | 22.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 180 | 215 | 0 | 798 | 0 | 267 | 4926 |
N.S. |
1 | 1.00 | 0.91 | 1.09 | 0.00 | 4.03 | 0.00 | 1.35 | 24.88 |
time (sec) |
N/A | 0.635 | 1.238 | 0.936 | 0.000 | 5.697 | 0.000 | 0.365 | 21.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 111 | 97 | 132 | 0 | 394 | 0 | 173 | 106 |
N.S. |
1 | 1.11 | 0.97 | 1.32 | 0.00 | 3.94 | 0.00 | 1.73 | 1.06 |
time (sec) |
N/A | 0.490 | 0.436 | 0.648 | 0.000 | 0.280 | 0.000 | 0.315 | 13.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 218 | 176 | 210 | 0 | 2852 | 0 | 330 | 20827 |
N.S. |
1 | 1.17 | 0.95 | 1.13 | 0.00 | 15.33 | 0.00 | 1.77 | 111.97 |
time (sec) |
N/A | 0.981 | 1.587 | 1.452 | 0.000 | 60.792 | 0.000 | 0.364 | 27.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 183 | 316 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.714 | 4.103 | 9.154 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 44664 | 321 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 227.88 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 37.864 | 12.835 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 233 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 3.197 | 10.710 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 176 | 148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 2.645 | 7.537 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 176 | 142 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.41 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 0.649 | 7.361 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 39359 | 262 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 99.39 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.096 | 36.528 | 15.931 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 223 | 445 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 2.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.052 | 25.506 | 8.494 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 83 | 223 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.726 | 1.349 | 7.344 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 174 | 222 | 442 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.32 | 2.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.331 | 25.117 | 8.237 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 264 | 123 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.78 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 6.443 | 7.297 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 295 | 311 | 0 | 275 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.755 | 0.000 | 6.872 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 375 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.79 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.730 | 13.338 | 5.330 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 156 | 192 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.799 | 5.477 | 8.774 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 230 | 1019 | 207 | 0 | 517 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.45 | 0.90 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.268 | 8.387 | 4.700 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 312 | 310 | 0 | 323 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.651 | 0.000 | 7.967 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 183 | 316 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.704 | 0.236 | 8.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 223 | 445 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 2.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.058 | 25.557 | 8.221 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 187 | 203 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.83 | 1.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.342 | 8.833 | 7.645 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 165 | 203 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.783 | 4.289 | 8.545 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 83 | 223 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.723 | 1.378 | 7.462 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 246 | 313 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.48 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.075 | 25.394 | 9.418 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 59 | 151 | 49 | 68 | 121 | 0 | 47 | 47 |
N.S. |
1 | 0.88 | 2.25 | 0.73 | 1.01 | 1.81 | 0.00 | 0.70 | 0.70 |
time (sec) |
N/A | 0.417 | 4.031 | 11.267 | 0.218 | 0.312 | 0.000 | 1.104 | 13.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 75 | 175 | 62 | 88 | 146 | 0 | 60 | 60 |
N.S. |
1 | 0.84 | 1.97 | 0.70 | 0.99 | 1.64 | 0.00 | 0.67 | 0.67 |
time (sec) |
N/A | 0.441 | 5.022 | 17.280 | 0.224 | 0.288 | 0.000 | 1.174 | 14.181 |