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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 53 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.370 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 123 | 68 | 319 | 0 | 377 | 0 | 0 | 144 |
N.S. |
1 | 1.06 | 0.59 | 2.75 | 0.00 | 3.25 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 0.612 | 0.215 | 0.161 | 0.000 | 0.286 | 0.000 | 0.000 | 13.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 101 | 67 | 303 | 0 | 334 | 0 | 0 | 98 |
N.S. |
1 | 1.07 | 0.71 | 3.22 | 0.00 | 3.55 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.453 | 0.130 | 0.045 | 0.000 | 0.278 | 0.000 | 0.000 | 13.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 74 | 154 | 287 | 0 | 236 | 0 | 0 | 128 |
N.S. |
1 | 1.04 | 2.17 | 4.04 | 0.00 | 3.32 | 0.00 | 0.00 | 1.80 |
time (sec) |
N/A | 0.327 | 0.327 | 0.053 | 0.000 | 0.269 | 0.000 | 0.000 | 13.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 53 | 165 | 273 | 0 | 172 | 0 | 0 | 65 |
N.S. |
1 | 1.08 | 3.37 | 5.57 | 0.00 | 3.51 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.236 | 0.233 | 0.112 | 0.000 | 0.277 | 0.000 | 0.000 | 13.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 78 | 191 | 294 | 0 | 321 | 0 | 0 | 84 |
N.S. |
1 | 1.04 | 2.55 | 3.92 | 0.00 | 4.28 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.337 | 0.272 | 0.046 | 0.000 | 0.274 | 0.000 | 0.000 | 13.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 108 | 203 | 309 | 0 | 358 | 0 | 0 | 103 |
N.S. |
1 | 1.09 | 2.05 | 3.12 | 0.00 | 3.62 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.507 | 0.444 | 0.049 | 0.000 | 0.280 | 0.000 | 0.000 | 13.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 261 | 187 | 187 | 0 | 507 | 0 | 0 | 125 |
N.S. |
1 | 0.97 | 0.70 | 0.70 | 0.00 | 1.88 | 0.00 | 0.00 | 0.46 |
time (sec) |
N/A | 0.756 | 1.318 | 0.152 | 0.000 | 0.289 | 0.000 | 0.000 | 13.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 231 | 112 | 172 | 0 | 423 | 0 | 0 | 104 |
N.S. |
1 | 0.94 | 0.46 | 0.70 | 0.00 | 1.72 | 0.00 | 0.00 | 0.42 |
time (sec) |
N/A | 0.627 | 1.041 | 0.041 | 0.000 | 0.279 | 0.000 | 0.000 | 13.366 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 235 | 175 | 170 | 0 | 372 | 0 | 0 | 104 |
N.S. |
1 | 0.96 | 0.72 | 0.70 | 0.00 | 1.52 | 0.00 | 0.00 | 0.43 |
time (sec) |
N/A | 0.639 | 0.514 | 0.049 | 0.000 | 0.303 | 0.000 | 0.000 | 13.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 200 | 253 | 155 | 0 | 323 | 0 | 0 | 86 |
N.S. |
1 | 0.90 | 1.14 | 0.70 | 0.00 | 1.45 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.532 | 6.107 | 0.054 | 0.000 | 0.299 | 0.000 | 0.000 | 12.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 206 | 184 | 159 | 0 | 413 | 0 | 0 | 86 |
N.S. |
1 | 0.93 | 0.83 | 0.72 | 0.00 | 1.86 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.515 | 0.422 | 0.043 | 0.000 | 0.282 | 0.000 | 0.000 | 12.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 231 | 400 | 174 | 0 | 446 | 0 | 0 | 99 |
N.S. |
1 | 0.94 | 1.62 | 0.70 | 0.00 | 1.81 | 0.00 | 0.00 | 0.40 |
time (sec) |
N/A | 0.613 | 3.060 | 0.053 | 0.000 | 0.287 | 0.000 | 0.000 | 13.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 239 | 173 | 174 | 0 | 542 | 0 | 0 | 99 |
N.S. |
1 | 0.96 | 0.69 | 0.70 | 0.00 | 2.18 | 0.00 | 0.00 | 0.40 |
time (sec) |
N/A | 0.618 | 1.547 | 0.068 | 0.000 | 0.285 | 0.000 | 0.000 | 13.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 203 | 847 | 354 | 0 | 535 | 0 | 0 | 177 |
N.S. |
1 | 1.09 | 4.55 | 1.90 | 0.00 | 2.88 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 1.096 | 6.159 | 0.363 | 0.000 | 0.282 | 0.000 | 0.000 | 14.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 179 | 380 | 339 | 0 | 487 | 0 | 0 | 143 |
N.S. |
1 | 1.12 | 2.38 | 2.12 | 0.00 | 3.04 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.851 | 5.179 | 0.043 | 0.000 | 0.282 | 0.000 | 0.000 | 14.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 153 | 360 | 323 | 0 | 366 | 0 | 0 | 136 |
N.S. |
1 | 1.11 | 2.61 | 2.34 | 0.00 | 2.65 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.665 | 3.428 | 0.054 | 0.000 | 0.274 | 0.000 | 0.000 | 13.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 127 | 342 | 309 | 0 | 349 | 0 | 0 | 100 |
N.S. |
1 | 1.09 | 2.92 | 2.64 | 0.00 | 2.98 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.525 | 1.629 | 0.057 | 0.000 | 0.277 | 0.000 | 0.000 | 13.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 128 | 357 | 305 | 0 | 372 | 0 | 0 | 119 |
N.S. |
1 | 1.12 | 3.13 | 2.68 | 0.00 | 3.26 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.550 | 3.125 | 0.043 | 0.000 | 0.277 | 0.000 | 0.000 | 12.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 132 | 599 | 303 | 0 | 378 | 0 | 0 | 101 |
N.S. |
1 | 1.13 | 5.12 | 2.59 | 0.00 | 3.23 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.593 | 6.212 | 0.043 | 0.000 | 0.323 | 0.000 | 0.000 | 12.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F(-1) | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 162 | 415 | 323 | 0 | 485 | 0 | 0 | 126 |
N.S. |
1 | 1.15 | 2.94 | 2.29 | 0.00 | 3.44 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.787 | 5.755 | 0.047 | 0.000 | 0.285 | 0.000 | 0.000 | 13.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 194 | 625 | 338 | 0 | 514 | 0 | 0 | 129 |
N.S. |
1 | 1.18 | 3.79 | 2.05 | 0.00 | 3.12 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.933 | 6.309 | 0.090 | 0.000 | 0.293 | 0.000 | 0.000 | 14.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 115 | 296 | 312 | 0 | 400 | 0 | 0 | 123 |
N.S. |
1 | 1.04 | 2.67 | 2.81 | 0.00 | 3.60 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.898 | 0.923 | 0.101 | 0.000 | 0.293 | 0.000 | 0.000 | 12.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 280 | 298 | 0 | 333 | 0 | 0 | 79 |
N.S. |
1 | 1.00 | 3.22 | 3.43 | 0.00 | 3.83 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.655 | 0.549 | 0.046 | 0.000 | 0.275 | 0.000 | 0.000 | 12.784 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 85 | 283 | 304 | 0 | 331 | 0 | 0 | 102 |
N.S. |
1 | 0.98 | 3.25 | 3.49 | 0.00 | 3.80 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.635 | 0.431 | 0.046 | 0.000 | 0.290 | 0.000 | 0.000 | 12.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 81 | 283 | 304 | 0 | 321 | 0 | 0 | 79 |
N.S. |
1 | 0.98 | 3.41 | 3.66 | 0.00 | 3.87 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.625 | 0.516 | 0.042 | 0.000 | 0.282 | 0.000 | 0.000 | 12.775 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 118 | 229 | 319 | 0 | 472 | 0 | 0 | 123 |
N.S. |
1 | 1.06 | 2.06 | 2.87 | 0.00 | 4.25 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.918 | 0.819 | 0.041 | 0.000 | 0.282 | 0.000 | 0.000 | 12.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 146 | 86 | 333 | 0 | 500 | 0 | 0 | 132 |
N.S. |
1 | 1.08 | 0.64 | 2.47 | 0.00 | 3.70 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 1.224 | 0.622 | 0.042 | 0.000 | 0.279 | 0.000 | 0.000 | 13.312 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 254 | 288 | 191 | 0 | 1173 | 0 | 0 | 375 |
N.S. |
1 | 0.90 | 1.02 | 0.68 | 0.00 | 4.17 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 1.198 | 2.376 | 0.324 | 0.000 | 0.297 | 0.000 | 0.000 | 13.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 244 | 155 | 197 | 0 | 1172 | 0 | 0 | 376 |
N.S. |
1 | 0.87 | 0.56 | 0.71 | 0.00 | 4.20 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 1.216 | 1.220 | 0.040 | 0.000 | 0.296 | 0.000 | 0.000 | 13.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 249 | 221 | 200 | 0 | 1114 | 0 | 0 | 366 |
N.S. |
1 | 0.90 | 0.79 | 0.72 | 0.00 | 4.01 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 1.127 | 2.197 | 0.041 | 0.000 | 0.330 | 0.000 | 0.000 | 13.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 249 | 131 | 197 | 0 | 1181 | 0 | 0 | 366 |
N.S. |
1 | 0.89 | 0.47 | 0.70 | 0.00 | 4.20 | 0.00 | 0.00 | 1.30 |
time (sec) |
N/A | 1.212 | 1.598 | 0.045 | 0.000 | 0.301 | 0.000 | 0.000 | 13.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 306 | 288 | 227 | 212 | 0 | 1257 | 0 | 0 | 414 |
N.S. |
1 | 0.94 | 0.74 | 0.69 | 0.00 | 4.11 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 1.572 | 1.174 | 0.042 | 0.000 | 0.315 | 0.000 | 0.000 | 13.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 316 | 84 | 227 | 0 | 1751 | 0 | 0 | 425 |
N.S. |
1 | 0.95 | 0.25 | 0.69 | 0.00 | 5.29 | 0.00 | 0.00 | 1.28 |
time (sec) |
N/A | 1.949 | 1.025 | 0.043 | 0.000 | 0.326 | 0.000 | 0.000 | 13.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 179 | 390 | 349 | 0 | 567 | 0 | 0 | 154 |
N.S. |
1 | 1.09 | 2.38 | 2.13 | 0.00 | 3.46 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 1.251 | 3.684 | 1.233 | 0.000 | 0.294 | 0.000 | 0.000 | 13.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 178 | 365 | 349 | 0 | 533 | 0 | 0 | 178 |
N.S. |
1 | 1.09 | 2.23 | 2.13 | 0.00 | 3.25 | 0.00 | 0.00 | 1.09 |
time (sec) |
N/A | 1.332 | 4.128 | 0.042 | 0.000 | 0.295 | 0.000 | 0.000 | 13.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 175 | 443 | 349 | 0 | 518 | 0 | 0 | 151 |
N.S. |
1 | 1.09 | 2.75 | 2.17 | 0.00 | 3.22 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 1.276 | 6.925 | 0.048 | 0.000 | 0.283 | 0.000 | 0.000 | 13.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 180 | 339 | 349 | 0 | 504 | 0 | 0 | 173 |
N.S. |
1 | 1.09 | 2.05 | 2.12 | 0.00 | 3.05 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 1.338 | 3.388 | 0.056 | 0.000 | 0.286 | 0.000 | 0.000 | 13.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 209 | 325 | 364 | 0 | 697 | 0 | 0 | 175 |
N.S. |
1 | 1.11 | 1.72 | 1.93 | 0.00 | 3.69 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 1.698 | 1.285 | 0.046 | 0.000 | 0.287 | 0.000 | 0.000 | 13.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 244 | 124 | 379 | 0 | 718 | 0 | 0 | 193 |
N.S. |
1 | 1.13 | 0.58 | 1.76 | 0.00 | 3.34 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 2.102 | 1.109 | 0.050 | 0.000 | 0.303 | 0.000 | 0.000 | 13.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 233 | 69 | 356 | 0 | 180 | 0 | 0 | 119 |
N.S. |
1 | 1.04 | 0.31 | 1.60 | 0.00 | 0.81 | 0.00 | 0.00 | 0.53 |
time (sec) |
N/A | 0.544 | 0.522 | 0.152 | 0.000 | 0.269 | 0.000 | 0.000 | 12.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 153 | 61 | 174 | 0 | 142 | 0 | 0 | 210 |
N.S. |
1 | 1.13 | 0.45 | 1.29 | 0.00 | 1.05 | 0.00 | 0.00 | 1.56 |
time (sec) |
N/A | 0.531 | 0.319 | 0.043 | 0.000 | 0.265 | 0.000 | 0.000 | 12.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 168 | 75 | 197 | 0 | 202 | 0 | 0 | 254 |
N.S. |
1 | 1.21 | 0.54 | 1.42 | 0.00 | 1.45 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 0.613 | 0.569 | 0.042 | 0.000 | 0.268 | 0.000 | 0.000 | 12.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 255 | 67 | 452 | 0 | 190 | 0 | 0 | 254 |
N.S. |
1 | 1.15 | 0.30 | 2.05 | 0.00 | 0.86 | 0.00 | 0.00 | 1.15 |
time (sec) |
N/A | 0.596 | 0.440 | 0.035 | 0.000 | 0.262 | 0.000 | 0.000 | 12.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 243 | 67 | 442 | 0 | 178 | 0 | 0 | 238 |
N.S. |
1 | 1.14 | 0.31 | 2.07 | 0.00 | 0.83 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.493 | 0.466 | 0.043 | 0.000 | 0.288 | 0.000 | 0.000 | 12.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 143 | 51 | 181 | 0 | 157 | 0 | 0 | 230 |
N.S. |
1 | 1.18 | 0.42 | 1.50 | 0.00 | 1.30 | 0.00 | 0.00 | 1.90 |
time (sec) |
N/A | 0.399 | 0.258 | 0.092 | 0.000 | 0.253 | 0.000 | 0.000 | 12.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 156 | 62 | 173 | 0 | 198 | 0 | 0 | 208 |
N.S. |
1 | 1.12 | 0.45 | 1.24 | 0.00 | 1.42 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.513 | 0.450 | 0.043 | 0.000 | 0.259 | 0.000 | 0.000 | 13.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 230 | 71 | 356 | 0 | 202 | 0 | 0 | 121 |
N.S. |
1 | 1.02 | 0.31 | 1.58 | 0.00 | 0.89 | 0.00 | 0.00 | 0.54 |
time (sec) |
N/A | 0.503 | 0.581 | 0.039 | 0.000 | 0.259 | 0.000 | 0.000 | 12.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 170 | 62 | 195 | 0 | 238 | 0 | 0 | 242 |
N.S. |
1 | 1.19 | 0.43 | 1.36 | 0.00 | 1.66 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.581 | 0.537 | 0.043 | 0.000 | 0.265 | 0.000 | 0.000 | 13.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 242 | 69 | 444 | 0 | 230 | 0 | 0 | 238 |
N.S. |
1 | 1.12 | 0.32 | 2.06 | 0.00 | 1.06 | 0.00 | 0.00 | 1.10 |
time (sec) |
N/A | 0.496 | 0.452 | 0.032 | 0.000 | 0.275 | 0.000 | 0.000 | 13.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 240 | 68 | 303 | 0 | 843 | 0 | 0 | 153 |
N.S. |
1 | 0.97 | 0.28 | 1.23 | 0.00 | 3.41 | 0.00 | 0.00 | 0.62 |
time (sec) |
N/A | 0.628 | 0.181 | 0.042 | 0.000 | 0.276 | 0.000 | 0.000 | 13.860 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 217 | 155 | 287 | 0 | 730 | 0 | 0 | 128 |
N.S. |
1 | 0.96 | 0.69 | 1.27 | 0.00 | 3.23 | 0.00 | 0.00 | 0.57 |
time (sec) |
N/A | 0.502 | 0.315 | 0.030 | 0.000 | 0.274 | 0.000 | 0.000 | 13.492 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 197 | 166 | 273 | 0 | 721 | 0 | 0 | 118 |
N.S. |
1 | 0.95 | 0.80 | 1.31 | 0.00 | 3.47 | 0.00 | 0.00 | 0.57 |
time (sec) |
N/A | 0.380 | 0.242 | 0.061 | 0.000 | 0.273 | 0.000 | 0.000 | 13.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 222 | 194 | 295 | 0 | 890 | 0 | 0 | 137 |
N.S. |
1 | 0.97 | 0.85 | 1.29 | 0.00 | 3.89 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.518 | 0.382 | 0.032 | 0.000 | 0.289 | 0.000 | 0.000 | 13.314 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 244 | 196 | 311 | 0 | 905 | 0 | 0 | 158 |
N.S. |
1 | 0.97 | 0.78 | 1.23 | 0.00 | 3.59 | 0.00 | 0.00 | 0.63 |
time (sec) |
N/A | 0.690 | 0.754 | 0.034 | 0.000 | 0.274 | 0.000 | 0.000 | 13.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 317 | 292 | 224 | 360 | 0 | 1313 | 0 | 0 | 1274 |
N.S. |
1 | 0.92 | 0.71 | 1.14 | 0.00 | 4.14 | 0.00 | 0.00 | 4.02 |
time (sec) |
N/A | 0.854 | 2.168 | 0.033 | 0.000 | 0.298 | 0.000 | 0.000 | 15.244 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 261 | 220 | 321 | 0 | 1230 | 0 | 0 | 1157 |
N.S. |
1 | 0.91 | 0.76 | 1.11 | 0.00 | 4.27 | 0.00 | 0.00 | 4.02 |
time (sec) |
N/A | 0.690 | 0.606 | 0.035 | 0.000 | 0.293 | 0.000 | 0.000 | 13.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 239 | 192 | 306 | 0 | 1183 | 0 | 0 | 1234 |
N.S. |
1 | 0.90 | 0.72 | 1.15 | 0.00 | 4.43 | 0.00 | 0.00 | 4.62 |
time (sec) |
N/A | 0.549 | 0.943 | 0.048 | 0.000 | 0.286 | 0.000 | 0.000 | 13.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 242 | 188 | 301 | 0 | 1298 | 0 | 0 | 1196 |
N.S. |
1 | 0.91 | 0.70 | 1.13 | 0.00 | 4.86 | 0.00 | 0.00 | 4.48 |
time (sec) |
N/A | 0.593 | 0.825 | 0.042 | 0.000 | 0.309 | 0.000 | 0.000 | 12.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 265 | 82 | 326 | 0 | 1318 | 0 | 0 | 1214 |
N.S. |
1 | 0.91 | 0.28 | 1.12 | 0.00 | 4.53 | 0.00 | 0.00 | 4.17 |
time (sec) |
N/A | 0.746 | 0.316 | 0.042 | 0.000 | 0.315 | 0.000 | 0.000 | 14.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 301 | 85 | 347 | 0 | 1436 | 0 | 0 | 1227 |
N.S. |
1 | 0.93 | 0.26 | 1.08 | 0.00 | 4.46 | 0.00 | 0.00 | 3.81 |
time (sec) |
N/A | 0.977 | 0.408 | 0.037 | 0.000 | 0.318 | 0.000 | 0.000 | 15.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 372 | 351 | 251 | 410 | 0 | 1795 | 0 | 0 | 2317 |
N.S. |
1 | 0.94 | 0.67 | 1.10 | 0.00 | 4.83 | 0.00 | 0.00 | 6.23 |
time (sec) |
N/A | 1.268 | 2.984 | 0.041 | 0.000 | 0.344 | 0.000 | 0.000 | 18.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 342 | 317 | 247 | 371 | 0 | 1643 | 0 | 0 | 2071 |
N.S. |
1 | 0.93 | 0.72 | 1.08 | 0.00 | 4.80 | 0.00 | 0.00 | 6.06 |
time (sec) |
N/A | 1.019 | 2.643 | 0.037 | 0.000 | 0.343 | 0.000 | 0.000 | 15.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 285 | 215 | 337 | 0 | 1633 | 0 | 0 | 1896 |
N.S. |
1 | 0.91 | 0.69 | 1.08 | 0.00 | 5.22 | 0.00 | 0.00 | 6.06 |
time (sec) |
N/A | 0.822 | 1.068 | 0.039 | 0.000 | 0.414 | 0.000 | 0.000 | 13.685 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 287 | 193 | 332 | 0 | 1679 | 0 | 0 | 1951 |
N.S. |
1 | 0.92 | 0.62 | 1.06 | 0.00 | 5.36 | 0.00 | 0.00 | 6.23 |
time (sec) |
N/A | 0.845 | 3.552 | 0.036 | 0.000 | 0.376 | 0.000 | 0.000 | 13.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 286 | 104 | 331 | 0 | 1692 | 0 | 0 | 1946 |
N.S. |
1 | 0.91 | 0.33 | 1.06 | 0.00 | 5.41 | 0.00 | 0.00 | 6.22 |
time (sec) |
N/A | 0.859 | 0.425 | 0.034 | 0.000 | 0.370 | 0.000 | 0.000 | 14.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 324 | 108 | 359 | 0 | 1804 | 0 | 0 | 1969 |
N.S. |
1 | 0.94 | 0.31 | 1.05 | 0.00 | 5.26 | 0.00 | 0.00 | 5.74 |
time (sec) |
N/A | 1.080 | 0.683 | 0.037 | 0.000 | 0.363 | 0.000 | 0.000 | 15.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 365 | 116 | 388 | 0 | 1839 | 0 | 0 | 1992 |
N.S. |
1 | 0.97 | 0.31 | 1.03 | 0.00 | 4.88 | 0.00 | 0.00 | 5.28 |
time (sec) |
N/A | 1.365 | 0.802 | 0.043 | 0.000 | 0.341 | 0.000 | 0.000 | 18.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 292 | 286 | 347 | 0 | 3267 | 0 | 0 | 5579 |
N.S. |
1 | 0.90 | 0.88 | 1.07 | 0.00 | 10.05 | 0.00 | 0.00 | 17.17 |
time (sec) |
N/A | 1.249 | 0.818 | 0.110 | 0.000 | 0.373 | 0.000 | 0.000 | 14.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 262 | 249 | 326 | 0 | 3137 | 0 | 0 | 5129 |
N.S. |
1 | 0.87 | 0.82 | 1.08 | 0.00 | 10.39 | 0.00 | 0.00 | 16.98 |
time (sec) |
N/A | 0.984 | 0.512 | 0.043 | 0.000 | 0.384 | 0.000 | 0.000 | 14.514 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 260 | 226 | 332 | 0 | 3088 | 0 | 0 | 4808 |
N.S. |
1 | 0.86 | 0.75 | 1.10 | 0.00 | 10.23 | 0.00 | 0.00 | 15.92 |
time (sec) |
N/A | 0.950 | 0.266 | 0.042 | 0.000 | 0.360 | 0.000 | 0.000 | 13.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 259 | 245 | 332 | 0 | 3160 | 0 | 0 | 4871 |
N.S. |
1 | 0.86 | 0.81 | 1.10 | 0.00 | 10.46 | 0.00 | 0.00 | 16.13 |
time (sec) |
N/A | 0.958 | 0.312 | 0.048 | 0.000 | 0.381 | 0.000 | 0.000 | 13.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 295 | 198 | 354 | 0 | 3637 | 0 | 0 | 4899 |
N.S. |
1 | 0.91 | 0.61 | 1.09 | 0.00 | 11.19 | 0.00 | 0.00 | 15.07 |
time (sec) |
N/A | 1.297 | 0.460 | 0.044 | 0.000 | 0.413 | 0.000 | 0.000 | 13.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 351 | 329 | 109 | 371 | 0 | 3742 | 0 | 0 | 6042 |
N.S. |
1 | 0.94 | 0.31 | 1.06 | 0.00 | 10.66 | 0.00 | 0.00 | 17.21 |
time (sec) |
N/A | 1.687 | 0.291 | 0.042 | 0.000 | 0.475 | 0.000 | 0.000 | 14.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 437 | 397 | 461 | 409 | 0 | 6403 | 0 | 0 | 13244 |
N.S. |
1 | 0.91 | 1.05 | 0.94 | 0.00 | 14.65 | 0.00 | 0.00 | 30.31 |
time (sec) |
N/A | 2.034 | 6.191 | 0.331 | 0.000 | 0.712 | 0.000 | 0.000 | 16.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 353 | 390 | 387 | 0 | 6258 | 0 | 0 | 12617 |
N.S. |
1 | 0.90 | 0.99 | 0.98 | 0.00 | 15.92 | 0.00 | 0.00 | 32.10 |
time (sec) |
N/A | 1.476 | 3.046 | 0.302 | 0.000 | 0.586 | 0.000 | 0.000 | 15.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 387 | 343 | 321 | 391 | 0 | 6150 | 0 | 0 | 11953 |
N.S. |
1 | 0.89 | 0.83 | 1.01 | 0.00 | 15.89 | 0.00 | 0.00 | 30.89 |
time (sec) |
N/A | 1.449 | 3.304 | 0.040 | 0.000 | 0.473 | 0.000 | 0.000 | 16.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 386 | 341 | 399 | 391 | 0 | 6104 | 0 | 0 | 11731 |
N.S. |
1 | 0.88 | 1.03 | 1.01 | 0.00 | 15.81 | 0.00 | 0.00 | 30.39 |
time (sec) |
N/A | 1.398 | 6.112 | 0.044 | 0.000 | 0.452 | 0.000 | 0.000 | 15.694 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 394 | 355 | 295 | 396 | 0 | 6248 | 0 | 0 | 9400 |
N.S. |
1 | 0.90 | 0.75 | 1.01 | 0.00 | 15.86 | 0.00 | 0.00 | 23.86 |
time (sec) |
N/A | 1.492 | 2.786 | 0.045 | 0.000 | 0.607 | 0.000 | 0.000 | 20.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F(-1) | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 437 | 401 | 244 | 414 | 0 | 6519 | 0 | 0 | 15251 |
N.S. |
1 | 0.92 | 0.56 | 0.95 | 0.00 | 14.92 | 0.00 | 0.00 | 34.90 |
time (sec) |
N/A | 2.089 | 0.615 | 0.048 | 0.000 | 0.723 | 0.000 | 0.000 | 16.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 529 | 494 | 626 | 471 | 0 | 9101 | 0 | 0 | 20651 |
N.S. |
1 | 0.93 | 1.18 | 0.89 | 0.00 | 17.20 | 0.00 | 0.00 | 39.04 |
time (sec) |
N/A | 2.855 | 6.319 | 1.205 | 0.000 | 2.082 | 0.000 | 0.000 | 23.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 446 | 574 | 460 | 0 | 9029 | 0 | 0 | 20089 |
N.S. |
1 | 0.94 | 1.21 | 0.97 | 0.00 | 18.97 | 0.00 | 0.00 | 42.20 |
time (sec) |
N/A | 2.131 | 6.245 | 1.161 | 0.000 | 63.174 | 0.000 | 0.000 | 20.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 470 | 440 | 520 | 457 | 0 | 8955 | 0 | 0 | 19256 |
N.S. |
1 | 0.94 | 1.11 | 0.97 | 0.00 | 19.05 | 0.00 | 0.00 | 40.97 |
time (sec) |
N/A | 2.125 | 6.227 | 1.153 | 0.000 | 39.249 | 0.000 | 0.000 | 19.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 461 | 429 | 535 | 456 | 0 | 8913 | 0 | 0 | 19000 |
N.S. |
1 | 0.93 | 1.16 | 0.99 | 0.00 | 19.33 | 0.00 | 0.00 | 41.21 |
time (sec) |
N/A | 2.122 | 6.195 | 0.051 | 0.000 | 0.776 | 0.000 | 0.000 | 19.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 463 | 431 | 481 | 460 | 0 | 8853 | 0 | 0 | 19534 |
N.S. |
1 | 0.93 | 1.04 | 0.99 | 0.00 | 19.12 | 0.00 | 0.00 | 42.19 |
time (sec) |
N/A | 2.034 | 6.215 | 0.051 | 0.000 | 0.931 | 0.000 | 0.000 | 18.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 450 | 402 | 465 | 0 | 8991 | 0 | 0 | 20155 |
N.S. |
1 | 0.95 | 0.84 | 0.98 | 0.00 | 18.89 | 0.00 | 0.00 | 42.34 |
time (sec) |
N/A | 2.111 | 6.166 | 0.051 | 0.000 | 1.580 | 0.000 | 0.000 | 19.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 529 | 499 | 303 | 480 | 0 | 10308 | 0 | 0 | 21158 |
N.S. |
1 | 0.94 | 0.57 | 0.91 | 0.00 | 19.49 | 0.00 | 0.00 | 40.00 |
time (sec) |
N/A | 2.814 | 1.747 | 0.048 | 0.000 | 2.307 | 0.000 | 0.000 | 22.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 167 | 165 | 118 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 193 | 214 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.496 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 35 | 45 | 734 | 0 | 159 | 0 | 0 | 1410 |
N.S. |
1 | 0.78 | 1.00 | 16.31 | 0.00 | 3.53 | 0.00 | 0.00 | 31.33 |
time (sec) |
N/A | 0.249 | 0.099 | 0.419 | 0.000 | 0.299 | 0.000 | 0.000 | 15.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 35 | 45 | 739 | 0 | 159 | 0 | 0 | 1410 |
N.S. |
1 | 0.78 | 1.00 | 16.42 | 0.00 | 3.53 | 0.00 | 0.00 | 31.33 |
time (sec) |
N/A | 0.254 | 0.481 | 0.080 | 0.000 | 0.285 | 0.000 | 0.000 | 14.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 67 | 66 | 89 | 79 | 524 | 95 | 155 |
N.S. |
1 | 1.00 | 1.14 | 1.12 | 1.51 | 1.34 | 8.88 | 1.61 | 2.63 |
time (sec) |
N/A | 0.350 | 0.177 | 0.081 | 0.430 | 0.273 | 0.527 | 0.310 | 0.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 122 | 144 | 147 | 185 | 340 | 3964 | 241 | 268 |
N.S. |
1 | 1.10 | 1.30 | 1.32 | 1.67 | 3.06 | 35.71 | 2.17 | 2.41 |
time (sec) |
N/A | 0.545 | 2.132 | 0.125 | 0.437 | 0.296 | 1.615 | 0.353 | 14.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 197 | 202 | 216 | 337 | 549 | 0 | 412 | 481 |
N.S. |
1 | 1.13 | 1.15 | 1.23 | 1.93 | 3.14 | 0.00 | 2.35 | 2.75 |
time (sec) |
N/A | 0.828 | 5.318 | 0.254 | 0.397 | 0.340 | 0.000 | 0.431 | 15.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 171 | 379 | 2392 | 0 | 5073 | 0 | 0 | 3864 |
N.S. |
1 | 0.91 | 2.02 | 12.72 | 0.00 | 26.98 | 0.00 | 0.00 | 20.55 |
time (sec) |
N/A | 1.046 | 1.908 | 0.170 | 0.000 | 1.217 | 0.000 | 0.000 | 45.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 133 | 294 | 1657 | 0 | 3252 | 0 | 0 | 2823 |
N.S. |
1 | 0.89 | 1.96 | 11.05 | 0.00 | 21.68 | 0.00 | 0.00 | 18.82 |
time (sec) |
N/A | 0.776 | 1.016 | 0.116 | 0.000 | 0.628 | 0.000 | 0.000 | 26.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 105 | 212 | 814 | 0 | 1329 | 0 | 0 | 843 |
N.S. |
1 | 0.86 | 1.74 | 6.67 | 0.00 | 10.89 | 0.00 | 0.00 | 6.91 |
time (sec) |
N/A | 0.582 | 0.662 | 0.146 | 0.000 | 0.326 | 0.000 | 0.000 | 15.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 123 | 222 | 1375 | 0 | 1684 | 0 | 0 | 3442 |
N.S. |
1 | 0.81 | 1.47 | 9.11 | 0.00 | 11.15 | 0.00 | 0.00 | 22.79 |
time (sec) |
N/A | 0.680 | 1.208 | 0.079 | 0.000 | 0.312 | 0.000 | 0.000 | 40.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 432 | 178 | 986 | 0 | 1148 | 0 | 0 | 2529 |
N.S. |
1 | 1.06 | 0.44 | 2.42 | 0.00 | 2.81 | 0.00 | 0.00 | 6.20 |
time (sec) |
N/A | 0.714 | 6.621 | 0.069 | 0.000 | 0.290 | 0.000 | 0.000 | 25.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 453 | 153 | 816 | 0 | 849 | 0 | 0 | 583 |
N.S. |
1 | 1.07 | 0.36 | 1.93 | 0.00 | 2.01 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.747 | 0.753 | 0.062 | 0.000 | 0.305 | 0.000 | 0.000 | 14.202 |