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 | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 316 | 323 | 276 | 1384 | 0 | 377 | 0 | 0 | 234 | 378 |
| N.S. |
1 | 1.02 | 0.87 | 4.38 | 0.00 | 1.19 | 0.00 | 0.00 | 0.74 | 1.20 |
| time (sec) |
N/A | 2.261 | 6.446 | 38.266 | 0.000 | 0.146 | 0.000 | 0.000 | 0.186 | 2.711 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 325 | 335 | 268 | 1424 | 0 | 410 | 0 | 0 | 236 | 658 |
| N.S. |
1 | 1.03 | 0.82 | 4.38 | 0.00 | 1.26 | 0.00 | 0.00 | 0.73 | 2.02 |
| time (sec) |
N/A | 2.286 | 10.485 | 37.038 | 0.000 | 0.142 | 0.000 | 0.000 | 0.198 | 3.755 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 377 | 369 | 284 | 1494 | 0 | 451 | 0 | 0 | 245 | 685 |
| N.S. |
1 | 0.98 | 0.75 | 3.96 | 0.00 | 1.20 | 0.00 | 0.00 | 0.65 | 1.82 |
| time (sec) |
N/A | 2.473 | 10.811 | 39.377 | 0.000 | 0.129 | 0.000 | 0.000 | 0.189 | 3.894 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 329 | 360 | 1554 | 0 | 0 | 0 | 0 | 65 | 0 |
| N.S. |
1 | 1.10 | 1.20 | 5.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 2.715 | 4.517 | 34.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.170 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 265 | 291 | 1244 | 0 | 0 | 0 | 0 | 65 | 0 |
| N.S. |
1 | 1.11 | 1.22 | 5.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 |
| time (sec) |
N/A | 2.035 | 3.850 | 34.448 | 0.000 | 0.000 | 0.000 | 0.000 | 0.174 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 199 | 244 | 948 | 0 | 0 | 0 | 0 | 63 | 0 |
| N.S. |
1 | 1.10 | 1.35 | 5.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 |
| time (sec) |
N/A | 1.511 | 3.526 | 8.375 | 0.000 | 0.000 | 0.000 | 0.000 | 0.167 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 141 | 198 | 722 | 0 | 0 | 0 | 0 | 57 | 0 |
| N.S. |
1 | 1.08 | 1.52 | 5.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.44 | 0.00 |
| time (sec) |
N/A | 1.063 | 2.717 | 6.188 | 0.000 | 0.000 | 0.000 | 0.000 | 0.166 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 85 | 90 | 127 | 259 | 0 | 0 | 0 | 0 | 64 | 0 |
| N.S. |
1 | 1.06 | 1.49 | 3.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.75 | 0.00 |
| time (sec) |
N/A | 0.711 | 1.241 | 6.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.168 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 112 | 112 | 205 | 378 | 0 | 0 | 0 | 0 | 60 | 0 |
| N.S. |
1 | 1.00 | 1.83 | 3.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.54 | 0.00 |
| time (sec) |
N/A | 1.031 | 3.439 | 4.302 | 0.000 | 0.000 | 0.000 | 0.000 | 0.165 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 151 | 219 | 436 | 0 | 0 | 0 | 0 | 69 | 0 |
| N.S. |
1 | 1.08 | 1.56 | 3.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 |
| time (sec) |
N/A | 1.433 | 6.862 | 6.518 | 0.000 | 0.000 | 0.000 | 0.000 | 0.170 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 224 | 295 | 759 | 0 | 0 | 0 | 0 | 71 | 0 |
| N.S. |
1 | 1.09 | 1.43 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 |
| time (sec) |
N/A | 1.981 | 5.219 | 8.898 | 0.000 | 0.000 | 0.000 | 0.000 | 0.166 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 270 | 293 | 338 | 955 | 0 | 0 | 0 | 0 | 71 | 0 |
| N.S. |
1 | 1.09 | 1.25 | 3.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
| time (sec) |
N/A | 2.723 | 4.875 | 12.178 | 0.000 | 0.000 | 0.000 | 0.000 | 0.168 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 372 | 427 | 1293 | 0 | 0 | 0 | 0 | 71 | 0 |
| N.S. |
1 | 1.08 | 1.24 | 3.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 |
| time (sec) |
N/A | 3.375 | 5.426 | 14.431 | 0.000 | 0.000 | 0.000 | 0.000 | 0.187 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 370 | 356 | 354 | 1337 | 0 | 0 | 0 | 0 | 97 | 0 |
| N.S. |
1 | 0.96 | 0.96 | 3.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
| time (sec) |
N/A | 2.620 | 5.090 | 28.785 | 0.000 | 0.000 | 0.000 | 0.000 | 0.170 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 283 | 301 | 1102 | 0 | 0 | 0 | 0 | 95 | 0 |
| N.S. |
1 | 0.97 | 1.03 | 3.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 |
| time (sec) |
N/A | 1.936 | 3.441 | 7.599 | 0.000 | 0.000 | 0.000 | 0.000 | 0.170 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 214 | 280 | 834 | 0 | 0 | 0 | 0 | 89 | 0 |
| N.S. |
1 | 0.99 | 1.29 | 3.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 |
| time (sec) |
N/A | 1.370 | 4.055 | 7.790 | 0.000 | 0.000 | 0.000 | 0.000 | 0.170 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 204 | 271 | 804 | 0 | 0 | 0 | 0 | 96 | 0 |
| N.S. |
1 | 0.95 | 1.27 | 3.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 |
| time (sec) |
N/A | 1.383 | 3.123 | 5.563 | 0.000 | 0.000 | 0.000 | 0.000 | 0.168 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 270 | 249 | 306 | 870 | 0 | 0 | 0 | 0 | 92 | 0 |
| N.S. |
1 | 0.92 | 1.13 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 |
| time (sec) |
N/A | 1.910 | 5.033 | 6.210 | 0.000 | 0.000 | 0.000 | 0.000 | 0.176 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 316 | 332 | 992 | 0 | 0 | 0 | 0 | 101 | 0 |
| N.S. |
1 | 0.94 | 0.99 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 2.606 | 6.460 | 7.912 | 0.000 | 0.000 | 0.000 | 0.000 | 0.197 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 427 | 403 | 492 | 1326 | 0 | 0 | 0 | 0 | 103 | 0 |
| N.S. |
1 | 0.94 | 1.15 | 3.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 |
| time (sec) |
N/A | 3.366 | 7.443 | 7.809 | 0.000 | 0.000 | 0.000 | 0.000 | 0.266 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 433 | 436 | 428 | 2240 | 0 | 0 | 0 | 0 | 129 | 0 |
| N.S. |
1 | 1.01 | 0.99 | 5.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 2.988 | 6.179 | 140.910 | 0.000 | 0.000 | 0.000 | 0.000 | 0.256 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 351 | 368 | 1966 | 0 | 0 | 0 | 0 | 127 | 0 |
| N.S. |
1 | 1.02 | 1.07 | 5.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 |
| time (sec) |
N/A | 2.307 | 5.863 | 9.502 | 0.000 | 0.000 | 0.000 | 0.000 | 0.258 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 348 | 345 | 364 | 1934 | 0 | 0 | 0 | 0 | 121 | 0 |
| N.S. |
1 | 0.99 | 1.05 | 5.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 |
| time (sec) |
N/A | 2.255 | 4.579 | 7.879 | 0.000 | 0.000 | 0.000 | 0.000 | 0.167 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 342 | 366 | 1846 | 0 | 0 | 0 | 0 | 128 | 0 |
| N.S. |
1 | 0.99 | 1.06 | 5.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 |
| time (sec) |
N/A | 2.245 | 5.557 | 7.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.192 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-2) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 417 | 401 | 425 | 1994 | 0 | 0 | 0 | 0 | 124 | 0 |
| N.S. |
1 | 0.96 | 1.02 | 4.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 2.978 | 6.369 | 8.472 | 0.000 | 0.000 | 0.000 | 0.000 | 0.178 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 494 | 483 | 543 | 2113 | 0 | 0 | 0 | 0 | 133 | 0 |
| N.S. |
1 | 0.98 | 1.10 | 4.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 |
| time (sec) |
N/A | 3.936 | 7.827 | 10.359 | 0.000 | 0.000 | 0.000 | 0.000 | 0.172 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 553 | 557 | 1220 | 1457 | 0 | 0 | 0 | 0 | 55 | 0 |
| N.S. |
1 | 1.01 | 2.21 | 2.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 |
| time (sec) |
N/A | 2.732 | 6.979 | 16.700 | 0.000 | 0.000 | 0.000 | 0.000 | 0.203 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 455 | 453 | 1169 | 918 | 0 | 0 | 0 | 0 | 61 | 0 |
| N.S. |
1 | 1.00 | 2.57 | 2.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.13 | 0.00 |
| time (sec) |
N/A | 2.057 | 19.340 | 19.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.177 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 439 | 449 | 1166 | 915 | 0 | 0 | 0 | 0 | 55 | 0 |
| N.S. |
1 | 1.02 | 2.66 | 2.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.13 | 0.00 |
| time (sec) |
N/A | 2.016 | 21.410 | 14.316 | 0.000 | 0.000 | 0.000 | 0.000 | 0.216 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 394 | 395 | 315 | 732 | 0 | 0 | 0 | 0 | 63 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 |
| time (sec) |
N/A | 1.567 | 10.294 | 37.249 | 0.000 | 0.000 | 0.000 | 0.000 | 0.173 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 354 | 1288 | 1436 | 0 | 0 | 0 | 0 | 63 | 0 |
| N.S. |
1 | 1.03 | 3.73 | 4.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 |
| time (sec) |
N/A | 1.449 | 6.885 | 38.565 | 0.000 | 0.000 | 0.000 | 0.000 | 0.168 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F(-1) | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 432 | 1373 | 0 | 0 | 0 | 0 | 0 | 63 | 0 |
| N.S. |
1 | 1.04 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.15 | 0.00 |
| time (sec) |
N/A | 1.964 | 6.978 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.174 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 638 | 641 | 1270 | 2186 | 0 | 0 | 0 | 0 | 120 | 0 |
| N.S. |
1 | 1.00 | 1.99 | 3.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
| time (sec) |
N/A | 3.481 | 7.737 | 28.106 | 0.000 | 0.000 | 0.000 | 0.000 | 0.244 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 553 | 556 | 1221 | 1560 | 0 | 0 | 0 | 0 | 120 | 0 |
| N.S. |
1 | 1.01 | 2.21 | 2.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 2.724 | 11.211 | 33.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.228 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 509 | 514 | 1209 | 1484 | 0 | 0 | 0 | 0 | 120 | 0 |
| N.S. |
1 | 1.01 | 2.38 | 2.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 |
| time (sec) |
N/A | 2.635 | 11.643 | 33.243 | 0.000 | 0.000 | 0.000 | 0.000 | 0.192 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 500 | 511 | 1219 | 1259 | 0 | 0 | 0 | 0 | 122 | 0 |
| N.S. |
1 | 1.02 | 2.44 | 2.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 |
| time (sec) |
N/A | 2.605 | 6.972 | 41.523 | 0.000 | 0.000 | 0.000 | 0.000 | 0.190 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 465 | 464 | 1296 | 1635 | 0 | 0 | 0 | 0 | 130 | 0 |
| N.S. |
1 | 1.00 | 2.79 | 3.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 |
| time (sec) |
N/A | 2.106 | 7.121 | 51.704 | 0.000 | 0.000 | 0.000 | 0.000 | 0.181 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 418 | 432 | 1371 | 1809 | 0 | 0 | 0 | 0 | 130 | 0 |
| N.S. |
1 | 1.03 | 3.28 | 4.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 |
| time (sec) |
N/A | 1.981 | 7.174 | 76.911 | 0.000 | 0.000 | 0.000 | 0.000 | 0.192 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 502 | 520 | 1485 | 2506 | 0 | 0 | 0 | 0 | 130 | 0 |
| N.S. |
1 | 1.04 | 2.96 | 4.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
| time (sec) |
N/A | 2.688 | 7.360 | 92.429 | 0.000 | 0.000 | 0.000 | 0.000 | 0.187 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 746 | 754 | 1341 | 2728 | 0 | 0 | 0 | 0 | 195 | 0 |
| N.S. |
1 | 1.01 | 1.80 | 3.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
| time (sec) |
N/A | 4.308 | 7.921 | 37.142 | 0.000 | 0.000 | 0.000 | 0.000 | 0.283 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 635 | 643 | 1275 | 2289 | 0 | 0 | 0 | 0 | 193 | 0 |
| N.S. |
1 | 1.01 | 2.01 | 3.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 3.478 | 14.163 | 42.718 | 0.000 | 0.000 | 0.000 | 0.000 | 0.251 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 609 | 618 | 1262 | 1997 | 0 | 0 | 0 | 0 | 187 | 0 |
| N.S. |
1 | 1.01 | 2.07 | 3.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 |
| time (sec) |
N/A | 3.409 | 14.258 | 41.531 | 0.000 | 0.000 | 0.000 | 0.000 | 0.238 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 567 | 579 | 1256 | 1842 | 0 | 0 | 0 | 0 | 195 | 0 |
| N.S. |
1 | 1.02 | 2.22 | 3.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 |
| time (sec) |
N/A | 3.339 | 7.135 | 50.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.203 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 606 | 620 | 1309 | 2007 | 0 | 0 | 0 | 0 | 197 | 0 |
| N.S. |
1 | 1.02 | 2.16 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 |
| time (sec) |
N/A | 3.346 | 7.222 | 62.140 | 0.000 | 0.000 | 0.000 | 0.000 | 0.196 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 540 | 544 | 1378 | 2039 | 0 | 0 | 0 | 0 | 205 | 0 |
| N.S. |
1 | 1.01 | 2.55 | 3.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 |
| time (sec) |
N/A | 2.702 | 7.354 | 61.929 | 0.000 | 0.000 | 0.000 | 0.000 | 0.200 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 504 | 519 | 1485 | 2624 | 0 | 0 | 0 | 0 | 205 | 0 |
| N.S. |
1 | 1.03 | 2.95 | 5.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 |
| time (sec) |
N/A | 2.683 | 7.572 | 54.299 | 0.000 | 0.000 | 0.000 | 0.000 | 0.197 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 587 | 606 | 1591 | 2890 | 0 | 0 | 0 | 0 | 205 | 0 |
| N.S. |
1 | 1.03 | 2.71 | 4.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 |
| time (sec) |
N/A | 3.405 | 7.970 | 39.790 | 0.000 | 0.000 | 0.000 | 0.000 | 0.258 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 554 | 564 | 1216 | 1354 | 0 | 0 | 0 | 0 | 85 | 0 |
| N.S. |
1 | 1.02 | 2.19 | 2.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.15 | 0.00 |
| time (sec) |
N/A | 2.667 | 14.536 | 30.695 | 0.000 | 0.000 | 0.000 | 0.000 | 0.235 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 455 | 457 | 497 | 760 | 0 | 0 | 0 | 0 | 79 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 |
| time (sec) |
N/A | 2.049 | 13.034 | 16.872 | 0.000 | 0.000 | 0.000 | 0.000 | 0.253 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 393 | 397 | 741 | 491 | 0 | 0 | 0 | 0 | 86 | 0 |
| N.S. |
1 | 1.01 | 1.89 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 1.544 | 18.897 | 7.531 | 0.000 | 0.000 | 0.000 | 0.000 | 0.174 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 343 | 344 | 351 | 510 | 0 | 0 | 0 | 0 | 82 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 |
| time (sec) |
N/A | 1.167 | 14.409 | 12.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.173 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 287 | 349 | 671 | 0 | 0 | 0 | 0 | 91 | 0 |
| N.S. |
1 | 1.01 | 1.23 | 2.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 |
| time (sec) |
N/A | 1.035 | 12.446 | 18.369 | 0.000 | 0.000 | 0.000 | 0.000 | 0.188 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 366 | 1298 | 1338 | 0 | 0 | 0 | 0 | 93 | 0 |
| N.S. |
1 | 1.03 | 3.67 | 3.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
| time (sec) |
N/A | 1.442 | 6.953 | 23.622 | 0.000 | 0.000 | 0.000 | 0.000 | 0.179 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 429 | 449 | 1376 | 1694 | 0 | 0 | 0 | 0 | 93 | 0 |
| N.S. |
1 | 1.05 | 3.21 | 3.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 2.005 | 6.971 | 27.563 | 0.000 | 0.000 | 0.000 | 0.000 | 0.168 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 604 | 620 | 1276 | 2014 | 0 | 0 | 0 | 0 | 117 | 0 |
| N.S. |
1 | 1.03 | 2.11 | 3.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
| time (sec) |
N/A | 3.180 | 7.594 | 25.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.177 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 503 | 532 | 1234 | 1424 | 0 | 0 | 0 | 0 | 111 | 0 |
| N.S. |
1 | 1.06 | 2.45 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 2.452 | 7.337 | 11.526 | 0.000 | 0.000 | 0.000 | 0.000 | 0.213 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 440 | 1225 | 1137 | 0 | 0 | 0 | 0 | 118 | 0 |
| N.S. |
1 | 1.05 | 2.91 | 2.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 |
| time (sec) |
N/A | 1.677 | 6.959 | 9.675 | 0.000 | 0.000 | 0.000 | 0.000 | 0.181 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 308 | 335 | 1269 | 1292 | 0 | 0 | 0 | 0 | 114 | 0 |
| N.S. |
1 | 1.09 | 4.12 | 4.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 |
| time (sec) |
N/A | 1.180 | 7.053 | 13.175 | 0.000 | 0.000 | 0.000 | 0.000 | 0.187 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 392 | 412 | 1327 | 1582 | 0 | 0 | 0 | 0 | 123 | 0 |
| N.S. |
1 | 1.05 | 3.39 | 4.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 |
| time (sec) |
N/A | 1.680 | 7.071 | 19.168 | 0.000 | 0.000 | 0.000 | 0.000 | 0.181 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 494 | 507 | 1418 | 2361 | 0 | 0 | 0 | 0 | 125 | 0 |
| N.S. |
1 | 1.03 | 2.87 | 4.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
| time (sec) |
N/A | 2.372 | 7.329 | 15.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.189 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 650 | 674 | 1366 | 3165 | 0 | 0 | 0 | 0 | 149 | 0 |
| N.S. |
1 | 1.04 | 2.10 | 4.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 |
| time (sec) |
N/A | 3.428 | 7.664 | 17.122 | 0.000 | 0.000 | 0.000 | 0.000 | 0.189 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 563 | 581 | 1388 | 3117 | 0 | 0 | 0 | 0 | 143 | 0 |
| N.S. |
1 | 1.03 | 2.47 | 5.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
| time (sec) |
N/A | 2.556 | 7.529 | 10.996 | 0.000 | 0.000 | 0.000 | 0.000 | 0.184 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 417 | 431 | 1364 | 2196 | 0 | 0 | 0 | 0 | 150 | 0 |
| N.S. |
1 | 1.03 | 3.27 | 5.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 |
| time (sec) |
N/A | 1.702 | 7.006 | 7.943 | 0.000 | 0.000 | 0.000 | 0.000 | 0.191 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 449 | 467 | 1421 | 2838 | 0 | 0 | 0 | 0 | 146 | 0 |
| N.S. |
1 | 1.04 | 3.16 | 6.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 |
| time (sec) |
N/A | 1.929 | 7.367 | 9.783 | 0.000 | 0.000 | 0.000 | 0.000 | 0.184 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 549 | 560 | 1471 | 3333 | 0 | 0 | 0 | 0 | 155 | 0 |
| N.S. |
1 | 1.02 | 2.68 | 6.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 |
| time (sec) |
N/A | 2.544 | 7.326 | 12.431 | 0.000 | 0.000 | 0.000 | 0.000 | 0.196 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 318 | 318 | 250 | 0 | 0 | 0 | 0 | 0 | 134 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 |
| time (sec) |
N/A | 1.395 | 2.232 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.193 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 222 | 194 | 0 | 0 | 0 | 0 | 0 | 79 | 0 |
| N.S. |
1 | 1.02 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 |
| time (sec) |
N/A | 0.753 | 1.023 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.180 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 353 | 338 | 10459 | 0 | 0 | 0 | 0 | 0 | 59 | 0 |
| N.S. |
1 | 0.96 | 29.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 |
| time (sec) |
N/A | 0.940 | 37.512 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.184 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 514 | 467 | 14082 | 0 | 0 | 0 | 0 | 0 | 91 | 0 |
| N.S. |
1 | 0.91 | 27.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 |
| time (sec) |
N/A | 1.544 | 51.464 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.186 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 97 | 91 | 86 | 101 | 81 | 255 | 89 | 114 | 117 |
| N.S. |
1 | 0.92 | 0.87 | 0.82 | 0.96 | 0.77 | 2.43 | 0.85 | 1.09 | 1.11 |
| time (sec) |
N/A | 0.658 | 0.222 | 3.731 | 0.037 | 0.089 | 0.176 | 0.938 | 0.168 | 0.628 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 108 | 75 | 65 | 79 | 60 | 170 | 68 | 84 | 84 |
| N.S. |
1 | 1.29 | 0.89 | 0.77 | 0.94 | 0.71 | 2.02 | 0.81 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.348 | 0.160 | 1.306 | 0.037 | 0.098 | 0.127 | 0.296 | 0.165 | 0.577 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 52 | 51 | 51 | 55 | 42 | 0 | 121 | 53 | 50 |
| N.S. |
1 | 1.00 | 0.98 | 0.98 | 1.06 | 0.81 | 0.00 | 2.33 | 1.02 | 0.96 |
| time (sec) |
N/A | 0.298 | 0.080 | 0.289 | 0.041 | 0.077 | 0.000 | 0.118 | 0.162 | 0.553 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 46 | 48 | 58 | 54 | 0 | 79 | 66 | 100 |
| N.S. |
1 | 1.00 | 1.31 | 1.37 | 1.66 | 1.54 | 0.00 | 2.26 | 1.89 | 2.86 |
| time (sec) |
N/A | 0.525 | 0.026 | 0.380 | 0.036 | 0.092 | 0.000 | 0.150 | 0.169 | 0.624 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | B | B | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 43 | 50 | 73 | 85 | 0 | 84 | 121 | 114 |
| N.S. |
1 | 1.00 | 1.23 | 1.43 | 2.09 | 2.43 | 0.00 | 2.40 | 3.46 | 3.26 |
| time (sec) |
N/A | 0.555 | 0.013 | 0.371 | 0.051 | 0.092 | 0.000 | 0.547 | 0.159 | 0.637 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 64 | 75 | 75 | 95 | 96 | 0 | 151 | 219 | 104 |
| N.S. |
1 | 1.05 | 1.23 | 1.23 | 1.56 | 1.57 | 0.00 | 2.48 | 3.59 | 1.70 |
| time (sec) |
N/A | 0.649 | 0.014 | 0.465 | 0.043 | 0.084 | 0.000 | 0.136 | 0.167 | 1.107 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 91 | 67 | 81 | 127 | 115 | 0 | 210 | 315 | 145 |
| N.S. |
1 | 0.98 | 0.72 | 0.87 | 1.37 | 1.24 | 0.00 | 2.26 | 3.39 | 1.56 |
| time (sec) |
N/A | 0.745 | 0.284 | 0.602 | 0.042 | 0.144 | 0.000 | 0.160 | 0.166 | 1.888 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 106 | 85 | 119 | 163 | 136 | 0 | 304 | 398 | 194 |
| N.S. |
1 | 0.93 | 0.75 | 1.04 | 1.43 | 1.19 | 0.00 | 2.67 | 3.49 | 1.70 |
| time (sec) |
N/A | 0.828 | 0.620 | 0.887 | 0.038 | 0.097 | 0.000 | 0.131 | 0.187 | 2.698 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 164 | 146 | 147 | 176 | 142 | 462 | 156 | 210 | 307 |
| N.S. |
1 | 0.87 | 0.77 | 0.78 | 0.93 | 0.75 | 2.44 | 0.83 | 1.11 | 1.62 |
| time (sec) |
N/A | 0.904 | 1.805 | 27.021 | 0.040 | 0.086 | 0.272 | 1.384 | 0.234 | 2.763 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 177 | 118 | 118 | 142 | 114 | 340 | 124 | 164 | 169 |
| N.S. |
1 | 1.04 | 0.69 | 0.69 | 0.84 | 0.67 | 2.00 | 0.73 | 0.96 | 0.99 |
| time (sec) |
N/A | 0.553 | 2.483 | 8.477 | 0.041 | 0.095 | 0.184 | 0.171 | 0.227 | 0.662 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 110 | 90 | 88 | 108 | 85 | 0 | 254 | 112 | 115 |
| N.S. |
1 | 1.03 | 0.84 | 0.82 | 1.01 | 0.79 | 0.00 | 2.37 | 1.05 | 1.07 |
| time (sec) |
N/A | 0.484 | 0.897 | 0.467 | 0.039 | 0.076 | 0.000 | 0.816 | 0.283 | 0.602 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 120 | 94 | 99 | 87 | 0 | 178 | 126 | 169 |
| N.S. |
1 | 1.00 | 1.40 | 1.09 | 1.15 | 1.01 | 0.00 | 2.07 | 1.47 | 1.97 |
| time (sec) |
N/A | 0.754 | 1.416 | 0.484 | 0.042 | 0.095 | 0.000 | 0.141 | 0.156 | 0.761 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 60 | 60 | 109 | 79 | 103 | 117 | 0 | 152 | 185 | 169 |
| N.S. |
1 | 1.00 | 1.82 | 1.32 | 1.72 | 1.95 | 0.00 | 2.53 | 3.08 | 2.82 |
| time (sec) |
N/A | 0.710 | 1.876 | 0.520 | 0.039 | 0.093 | 0.000 | 0.154 | 0.162 | 0.866 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 84 | 87 | 104 | 140 | 136 | 0 | 190 | 344 | 176 |
| N.S. |
1 | 1.05 | 1.09 | 1.30 | 1.75 | 1.70 | 0.00 | 2.38 | 4.30 | 2.20 |
| time (sec) |
N/A | 0.777 | 0.263 | 0.604 | 0.040 | 0.096 | 0.000 | 0.279 | 0.167 | 0.929 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 122 | 97 | 118 | 172 | 150 | 0 | 294 | 472 | 227 |
| N.S. |
1 | 1.05 | 0.84 | 1.02 | 1.48 | 1.29 | 0.00 | 2.53 | 4.07 | 1.96 |
| time (sec) |
N/A | 0.924 | 0.666 | 0.751 | 0.042 | 0.114 | 0.000 | 0.156 | 0.151 | 2.579 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 149 | 120 | 148 | 228 | 180 | 0 | 478 | 624 | 314 |
| N.S. |
1 | 0.96 | 0.77 | 0.95 | 1.46 | 1.15 | 0.00 | 3.06 | 4.00 | 2.01 |
| time (sec) |
N/A | 1.076 | 0.759 | 0.951 | 0.040 | 0.111 | 0.000 | 0.176 | 0.161 | 2.715 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 252 | 176 | 176 | 217 | 174 | 552 | 188 | 260 | 277 |
| N.S. |
1 | 1.04 | 0.72 | 0.72 | 0.89 | 0.72 | 2.27 | 0.77 | 1.07 | 1.14 |
| time (sec) |
N/A | 0.793 | 3.109 | 97.069 | 0.042 | 0.094 | 0.301 | 0.152 | 0.171 | 0.820 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 179 | 140 | 142 | 171 | 136 | 0 | 536 | 192 | 202 |
| N.S. |
1 | 1.05 | 0.82 | 0.83 | 1.00 | 0.80 | 0.00 | 3.13 | 1.12 | 1.18 |
| time (sec) |
N/A | 0.669 | 1.508 | 1.582 | 0.038 | 0.103 | 0.000 | 0.145 | 0.164 | 0.690 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 146 | 159 | 135 | 152 | 131 | 0 | 314 | 195 | 1924 |
| N.S. |
1 | 1.07 | 1.16 | 0.99 | 1.11 | 0.96 | 0.00 | 2.29 | 1.42 | 14.04 |
| time (sec) |
N/A | 1.084 | 1.977 | 1.652 | 0.038 | 0.096 | 0.000 | 0.156 | 0.161 | 1.484 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 134 | 217 | 124 | 144 | 152 | 0 | 234 | 270 | 236 |
| N.S. |
1 | 1.02 | 1.66 | 0.95 | 1.10 | 1.16 | 0.00 | 1.79 | 2.06 | 1.80 |
| time (sec) |
N/A | 1.058 | 2.523 | 1.767 | 0.041 | 0.096 | 0.000 | 0.156 | 0.195 | 1.141 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 126 | 277 | 133 | 169 | 167 | 0 | 239 | 454 | 249 |
| N.S. |
1 | 1.02 | 2.23 | 1.07 | 1.36 | 1.35 | 0.00 | 1.93 | 3.66 | 2.01 |
| time (sec) |
N/A | 1.073 | 4.906 | 1.829 | 0.048 | 0.093 | 0.000 | 0.171 | 0.165 | 1.242 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 154 | 120 | 146 | 216 | 189 | 0 | 336 | 636 | 526 |
| N.S. |
1 | 1.06 | 0.83 | 1.01 | 1.49 | 1.30 | 0.00 | 2.32 | 4.39 | 3.63 |
| time (sec) |
N/A | 1.149 | 0.811 | 1.818 | 0.042 | 0.097 | 0.000 | 0.169 | 0.158 | 1.480 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 199 | 144 | 185 | 273 | 211 | 0 | 586 | 830 | 395 |
| N.S. |
1 | 1.06 | 0.77 | 0.98 | 1.45 | 1.12 | 0.00 | 3.12 | 4.41 | 2.10 |
| time (sec) |
N/A | 1.339 | 1.174 | 2.165 | 0.047 | 0.095 | 0.000 | 0.181 | 0.156 | 2.781 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 236 | 225 | 181 | 200 | 341 | 249 | 0 | 722 | 1071 | 470 |
| N.S. |
1 | 0.95 | 0.77 | 0.85 | 1.44 | 1.06 | 0.00 | 3.06 | 4.54 | 1.99 |
| time (sec) |
N/A | 1.524 | 3.394 | 2.444 | 0.042 | 0.101 | 0.000 | 0.182 | 0.179 | 2.705 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F(-1) | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 195 | 152 | 240 | 0 | 541 | 0 | 360 | 396 | 4568 |
| N.S. |
1 | 1.10 | 0.85 | 1.35 | 0.00 | 3.04 | 0.00 | 2.02 | 2.22 | 25.66 |
| time (sec) |
N/A | 1.168 | 1.484 | 0.686 | 0.000 | 0.115 | 0.000 | 0.141 | 0.155 | 3.405 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 134 | 146 | 121 | 169 | 0 | 426 | 0 | 227 | 324 | 3761 |
| N.S. |
1 | 1.09 | 0.90 | 1.26 | 0.00 | 3.18 | 0.00 | 1.69 | 2.42 | 28.07 |
| time (sec) |
N/A | 0.799 | 1.071 | 0.385 | 0.000 | 0.111 | 0.000 | 0.140 | 0.158 | 2.811 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 86 | 85 | 110 | 0 | 322 | 0 | 142 | 183 | 541 |
| N.S. |
1 | 0.97 | 0.96 | 1.24 | 0.00 | 3.62 | 0.00 | 1.60 | 2.06 | 6.08 |
| time (sec) |
N/A | 0.413 | 0.744 | 0.278 | 0.000 | 0.103 | 0.000 | 0.128 | 0.156 | 1.103 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 68 | 73 | 0 | 242 | 0 | 296 | 139 | 344 |
| N.S. |
1 | 1.00 | 1.01 | 1.09 | 0.00 | 3.61 | 0.00 | 4.42 | 2.07 | 5.13 |
| time (sec) |
N/A | 0.420 | 0.208 | 0.225 | 0.000 | 0.099 | 0.000 | 0.158 | 0.175 | 1.338 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 76 | 76 | 112 | 92 | 0 | 304 | 0 | 128 | 192 | 342 |
| N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.00 | 0.00 | 1.68 | 2.53 | 4.50 |
| time (sec) |
N/A | 0.524 | 0.534 | 0.402 | 0.000 | 0.443 | 0.000 | 0.152 | 0.166 | 1.303 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 99 | 96 | 129 | 144 | 0 | 460 | 0 | 175 | 360 | 675 |
| N.S. |
1 | 0.97 | 1.30 | 1.45 | 0.00 | 4.65 | 0.00 | 1.77 | 3.64 | 6.82 |
| time (sec) |
N/A | 0.666 | 1.118 | 0.467 | 0.000 | 0.187 | 0.000 | 0.178 | 0.165 | 1.623 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | A | F(-2) | B | F | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 143 | 154 | 300 | 229 | 0 | 589 | 0 | 269 | 827 | 4051 |
| N.S. |
1 | 1.08 | 2.10 | 1.60 | 0.00 | 4.12 | 0.00 | 1.88 | 5.78 | 28.33 |
| time (sec) |
N/A | 1.124 | 2.686 | 0.625 | 0.000 | 2.388 | 0.000 | 0.159 | 0.162 | 2.859 |