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 | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 174 | 120 | 1272 | 0 | 512 | 0 | 271 | 200 |
N.S. |
1 | 1.16 | 0.80 | 8.48 | 0.00 | 3.41 | 0.00 | 1.81 | 1.33 |
time (sec) |
N/A | 0.908 | 2.136 | 1.273 | 0.000 | 0.285 | 0.000 | 0.652 | 9.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 112 | 87 | 1229 | 0 | 397 | 0 | 223 | 90 |
N.S. |
1 | 1.12 | 0.87 | 12.29 | 0.00 | 3.97 | 0.00 | 2.23 | 0.90 |
time (sec) |
N/A | 0.604 | 0.916 | 0.743 | 0.000 | 0.258 | 0.000 | 0.536 | 7.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 63 | 805 | 4432 | 306 | 0 | 181 | 854 |
N.S. |
1 | 1.07 | 0.91 | 11.67 | 64.23 | 4.43 | 0.00 | 2.62 | 12.38 |
time (sec) |
N/A | 0.439 | 0.312 | 0.729 | 0.603 | 0.258 | 0.000 | 0.401 | 7.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 149 | 162 | 126 | 0 | 686 | 0 | 372 | 763 |
N.S. |
1 | 1.06 | 1.16 | 0.90 | 0.00 | 4.90 | 0.00 | 2.66 | 5.45 |
time (sec) |
N/A | 0.766 | 0.796 | 1.780 | 0.000 | 0.277 | 0.000 | 0.451 | 8.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | B | F | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 0 | 201 | 269 | 0 | 1086 | 0 | 476 | 14675 |
N.S. |
1 | 0.00 | 0.95 | 1.27 | 0.00 | 5.15 | 0.00 | 2.26 | 69.55 |
time (sec) |
N/A | 0.000 | 2.587 | 0.689 | 0.000 | 0.366 | 0.000 | 0.539 | 8.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | B | F | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 280 | 0 | 238 | 382 | 0 | 1448 | 0 | 625 | 35270 |
N.S. |
1 | 0.00 | 0.85 | 1.36 | 0.00 | 5.17 | 0.00 | 2.23 | 125.96 |
time (sec) |
N/A | 0.000 | 6.392 | 0.733 | 0.000 | 0.554 | 0.000 | 0.712 | 10.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 192 | 159 | 908 | 0 | 786 | 0 | 329 | 309 |
N.S. |
1 | 1.06 | 0.88 | 5.02 | 0.00 | 4.34 | 0.00 | 1.82 | 1.71 |
time (sec) |
N/A | 1.134 | 3.262 | 0.811 | 0.000 | 0.388 | 0.000 | 1.042 | 16.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 129 | 125 | 870 | 0 | 646 | 0 | 282 | 196 |
N.S. |
1 | 0.98 | 0.95 | 6.64 | 0.00 | 4.93 | 0.00 | 2.15 | 1.50 |
time (sec) |
N/A | 0.807 | 1.539 | 0.693 | 0.000 | 0.303 | 0.000 | 0.863 | 11.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 89 | 86 | 852 | 0 | 504 | 0 | 229 | 2869 |
N.S. |
1 | 0.91 | 0.88 | 8.69 | 0.00 | 5.14 | 0.00 | 2.34 | 29.28 |
time (sec) |
N/A | 0.705 | 0.645 | 0.656 | 0.000 | 0.260 | 0.000 | 0.512 | 17.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 133 | 135 | 140 | 0 | 780 | 0 | 411 | 847 |
N.S. |
1 | 0.87 | 0.88 | 0.92 | 0.00 | 5.10 | 0.00 | 2.69 | 5.54 |
time (sec) |
N/A | 0.763 | 0.975 | 0.682 | 0.000 | 0.296 | 0.000 | 0.476 | 7.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 219 | 248 | 284 | 0 | 983 | 0 | 463 | 1580 |
N.S. |
1 | 1.05 | 1.19 | 1.36 | 0.00 | 4.70 | 0.00 | 2.22 | 7.56 |
time (sec) |
N/A | 1.223 | 2.045 | 0.681 | 0.000 | 0.339 | 0.000 | 0.610 | 8.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 289 | 343 | 362 | 0 | 1238 | 0 | 616 | 16296 |
N.S. |
1 | 1.05 | 1.25 | 1.32 | 0.00 | 4.52 | 0.00 | 2.25 | 59.47 |
time (sec) |
N/A | 1.680 | 4.301 | 0.706 | 0.000 | 0.507 | 0.000 | 0.800 | 10.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 245 | 266 | 1047 | 0 | 1087 | 0 | 412 | 400 |
N.S. |
1 | 1.13 | 1.23 | 4.85 | 0.00 | 5.03 | 0.00 | 1.91 | 1.85 |
time (sec) |
N/A | 1.395 | 5.615 | 0.967 | 0.000 | 0.631 | 0.000 | 1.532 | 30.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 182 | 159 | 1007 | 0 | 917 | 0 | 365 | 257 |
N.S. |
1 | 1.10 | 0.96 | 6.07 | 0.00 | 5.52 | 0.00 | 2.20 | 1.55 |
time (sec) |
N/A | 0.965 | 2.710 | 0.737 | 0.000 | 0.420 | 0.000 | 1.289 | 21.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 140 | 117 | 970 | 0 | 732 | 0 | 297 | 3899 |
N.S. |
1 | 1.07 | 0.89 | 7.40 | 0.00 | 5.59 | 0.00 | 2.27 | 29.76 |
time (sec) |
N/A | 0.770 | 1.183 | 0.651 | 0.000 | 0.327 | 0.000 | 0.713 | 31.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 161 | 166 | 237 | 0 | 1025 | 0 | 467 | 4857 |
N.S. |
1 | 0.87 | 0.90 | 1.28 | 0.00 | 5.54 | 0.00 | 2.52 | 26.25 |
time (sec) |
N/A | 0.911 | 1.259 | 0.570 | 0.000 | 0.401 | 0.000 | 0.596 | 10.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 205 | 234 | 302 | 0 | 1083 | 0 | 519 | 9787 |
N.S. |
1 | 0.94 | 1.08 | 1.39 | 0.00 | 4.99 | 0.00 | 2.39 | 45.10 |
time (sec) |
N/A | 1.108 | 2.321 | 0.517 | 0.000 | 0.401 | 0.000 | 0.794 | 10.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 309 | 387 | 452 | 0 | 1252 | 0 | 591 | 9472 |
N.S. |
1 | 1.08 | 1.36 | 1.59 | 0.00 | 4.39 | 0.00 | 2.07 | 33.24 |
time (sec) |
N/A | 1.621 | 4.446 | 0.590 | 0.000 | 0.531 | 0.000 | 0.969 | 10.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 133 | 92 | 800 | 0 | 427 | 0 | 238 | 119 |
N.S. |
1 | 1.06 | 0.73 | 6.35 | 0.00 | 3.39 | 0.00 | 1.89 | 0.94 |
time (sec) |
N/A | 0.678 | 2.349 | 0.897 | 0.000 | 0.254 | 0.000 | 0.639 | 7.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 72 | 70 | 766 | 0 | 341 | 0 | 182 | 67 |
N.S. |
1 | 0.97 | 0.95 | 10.35 | 0.00 | 4.61 | 0.00 | 2.46 | 0.91 |
time (sec) |
N/A | 0.436 | 1.456 | 0.714 | 0.000 | 0.245 | 0.000 | 0.553 | 6.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 37 | 46 | 730 | 6484 | 275 | 0 | 156 | 2947 |
N.S. |
1 | 0.80 | 1.00 | 15.87 | 140.96 | 5.98 | 0.00 | 3.39 | 64.07 |
time (sec) |
N/A | 0.264 | 0.390 | 0.921 | 0.538 | 0.243 | 0.000 | 0.452 | 7.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 157 | 145 | 150 | 0 | 990 | 0 | 385 | 12379 |
N.S. |
1 | 1.01 | 0.94 | 0.97 | 0.00 | 6.39 | 0.00 | 2.48 | 79.86 |
time (sec) |
N/A | 0.705 | 1.059 | 0.796 | 0.000 | 0.287 | 0.000 | 0.523 | 10.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 239 | 203 | 232 | 0 | 1400 | 0 | 497 | 32178 |
N.S. |
1 | 1.08 | 0.92 | 1.05 | 0.00 | 6.33 | 0.00 | 2.25 | 145.60 |
time (sec) |
N/A | 1.087 | 1.755 | 0.710 | 0.000 | 0.387 | 0.000 | 0.708 | 10.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 338 | 266 | 357 | 0 | 1747 | 0 | 661 | 60949 |
N.S. |
1 | 1.13 | 0.89 | 1.20 | 0.00 | 5.86 | 0.00 | 2.22 | 204.53 |
time (sec) |
N/A | 1.587 | 3.673 | 0.734 | 0.000 | 0.586 | 0.000 | 1.010 | 12.616 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 145 | 114 | 2594 | 0 | 604 | 0 | 243 | 182 |
N.S. |
1 | 1.04 | 0.82 | 18.66 | 0.00 | 4.35 | 0.00 | 1.75 | 1.31 |
time (sec) |
N/A | 0.716 | 2.318 | 0.882 | 0.000 | 0.276 | 0.000 | 0.878 | 7.439 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 115 | 98 | 2534 | 0 | 584 | 0 | 206 | 142 |
N.S. |
1 | 1.25 | 1.07 | 27.54 | 0.00 | 6.35 | 0.00 | 2.24 | 1.54 |
time (sec) |
N/A | 0.527 | 1.421 | 0.768 | 0.000 | 0.262 | 0.000 | 0.764 | 8.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 99 | 59 | 2446 | 0 | 534 | 0 | 189 | 4612 |
N.S. |
1 | 1.30 | 0.78 | 32.18 | 0.00 | 7.03 | 0.00 | 2.49 | 60.68 |
time (sec) |
N/A | 0.476 | 0.462 | 0.684 | 0.000 | 0.254 | 0.000 | 0.639 | 16.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 214 | 143 | 257 | 0 | 1555 | 0 | 481 | 35674 |
N.S. |
1 | 1.04 | 0.70 | 1.25 | 0.00 | 7.59 | 0.00 | 2.35 | 174.02 |
time (sec) |
N/A | 0.998 | 1.019 | 0.592 | 0.000 | 0.496 | 0.000 | 0.815 | 17.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 306 | 187 | 399 | 0 | 2263 | 0 | 588 | 66456 |
N.S. |
1 | 1.09 | 0.67 | 1.42 | 0.00 | 8.05 | 0.00 | 2.09 | 236.50 |
time (sec) |
N/A | 1.422 | 1.329 | 0.547 | 0.000 | 1.040 | 0.000 | 1.431 | 16.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 368 | 415 | 294 | 596 | 0 | 2638 | 0 | 774 | 106340 |
N.S. |
1 | 1.13 | 0.80 | 1.62 | 0.00 | 7.17 | 0.00 | 2.10 | 288.97 |
time (sec) |
N/A | 2.026 | 2.061 | 0.542 | 0.000 | 2.787 | 0.000 | 1.014 | 14.737 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 189 | 124 | 2772 | 0 | 963 | 0 | 308 | 255 |
N.S. |
1 | 1.20 | 0.78 | 17.54 | 0.00 | 6.09 | 0.00 | 1.95 | 1.61 |
time (sec) |
N/A | 0.882 | 3.030 | 1.069 | 0.000 | 0.320 | 0.000 | 1.191 | 9.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 166 | 106 | 2699 | 0 | 909 | 0 | 246 | 221 |
N.S. |
1 | 1.31 | 0.83 | 21.25 | 0.00 | 7.16 | 0.00 | 1.94 | 1.74 |
time (sec) |
N/A | 0.778 | 2.761 | 0.858 | 0.000 | 0.317 | 0.000 | 1.046 | 9.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 145 | 61 | 2597 | 0 | 823 | 0 | 224 | 7068 |
N.S. |
1 | 1.33 | 0.56 | 23.83 | 0.00 | 7.55 | 0.00 | 2.06 | 64.84 |
time (sec) |
N/A | 0.656 | 0.560 | 0.678 | 0.000 | 0.330 | 0.000 | 0.909 | 26.520 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F(-2) | B | F | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 0 | 143 | 364 | 0 | 2659 | 0 | 545 | 69981 |
N.S. |
1 | 0.00 | 0.54 | 1.36 | 0.00 | 9.96 | 0.00 | 2.04 | 262.10 |
time (sec) |
N/A | 0.000 | 1.209 | 0.557 | 0.000 | 1.745 | 0.000 | 1.320 | 100.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 351 | 380 | 188 | 518 | 0 | 3246 | 0 | 693 | 0 |
N.S. |
1 | 1.08 | 0.54 | 1.48 | 0.00 | 9.25 | 0.00 | 1.97 | 0.00 |
time (sec) |
N/A | 1.873 | 1.400 | 0.526 | 0.000 | 5.313 | 0.000 | 1.116 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 446 | 497 | 243 | 743 | 0 | 3803 | 0 | 1042 | 0 |
N.S. |
1 | 1.11 | 0.54 | 1.67 | 0.00 | 8.53 | 0.00 | 2.34 | 0.00 |
time (sec) |
N/A | 2.680 | 2.681 | 0.791 | 0.000 | 16.971 | 0.000 | 1.502 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 274 | 1363 | 1079 | 0 | 1039 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 5.18 | 4.10 | 0.00 | 3.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.648 | 6.677 | 1.092 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 260 | 236 | 866 | 0 | 745 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.94 | 3.46 | 0.00 | 2.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.525 | 4.834 | 0.903 | 0.000 | 0.266 | 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(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 194 | 866 | 0 | 485 | 0 | 0 | 2101 |
N.S. |
1 | 1.00 | 1.28 | 5.74 | 0.00 | 3.21 | 0.00 | 0.00 | 13.91 |
time (sec) |
N/A | 0.741 | 0.780 | 1.395 | 0.000 | 0.250 | 0.000 | 0.000 | 22.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 121 | 877 | 0 | 352 | 0 | 0 | 1724 |
N.S. |
1 | 1.00 | 1.00 | 7.25 | 0.00 | 2.91 | 0.00 | 0.00 | 14.25 |
time (sec) |
N/A | 0.468 | 1.148 | 3.483 | 0.000 | 0.263 | 0.000 | 0.000 | 21.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 178 | 175 | 1180 | 0 | 419 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.99 | 6.67 | 0.00 | 2.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 1.772 | 1.109 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 0 | 294 | 2226 | 0 | 502 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.16 | 8.76 | 0.00 | 1.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.980 | 1.127 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 344 | 1526 | 1518 | 0 | 1472 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 4.64 | 4.61 | 0.00 | 4.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.043 | 7.400 | 0.886 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 315 | 328 | 998 | 1234 | 0 | 1108 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 3.17 | 3.92 | 0.00 | 3.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.982 | 6.807 | 0.868 | 0.000 | 0.294 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 202 | 265 | 1702 | 0 | 768 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.35 | 8.68 | 0.00 | 3.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.160 | 4.955 | 0.932 | 0.000 | 0.262 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 203 | 276 | 1169 | 0 | 895 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.42 | 5.99 | 0.00 | 4.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.187 | 5.702 | 0.850 | 0.000 | 0.318 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 176 | 235 | 1275 | 0 | 488 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.36 | 7.37 | 0.00 | 2.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.658 | 3.652 | 1.139 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 233 | 282 | 1657 | 0 | 571 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.25 | 7.36 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.901 | 5.308 | 1.201 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 435 | 849 | 1851 | 0 | 1919 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 2.05 | 4.46 | 0.00 | 4.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.665 | 15.658 | 0.921 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 404 | 1078 | 1503 | 0 | 1493 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 2.85 | 3.98 | 0.00 | 3.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.590 | 7.186 | 0.856 | 0.000 | 0.299 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 271 | 326 | 2130 | 0 | 1117 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.27 | 8.29 | 0.00 | 4.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.614 | 3.237 | 0.995 | 0.000 | 0.286 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 262 | 335 | 2647 | 0 | 1163 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.34 | 10.59 | 0.00 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.647 | 5.828 | 0.931 | 0.000 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 266 | 400 | 3161 | 0 | 1071 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.56 | 12.30 | 0.00 | 4.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.585 | 6.006 | 0.880 | 0.000 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 231 | 457 | 2559 | 0 | 655 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 2.03 | 11.37 | 0.00 | 2.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.878 | 7.174 | 1.161 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 212 | 255 | 1295 | 0 | 781 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.28 | 6.48 | 0.00 | 3.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.107 | 6.132 | 1.299 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 202 | 983 | 0 | 533 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.34 | 6.51 | 0.00 | 3.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.745 | 1.866 | 1.390 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 84 | 212 | 3634 | 259 | 0 | 0 | 473 |
N.S. |
1 | 1.00 | 1.02 | 2.59 | 44.32 | 3.16 | 0.00 | 0.00 | 5.77 |
time (sec) |
N/A | 0.284 | 0.414 | 1.707 | 0.524 | 0.243 | 0.000 | 0.000 | 11.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 178 | 129 | 1738 | 0 | 381 | 0 | 0 | 1508 |
N.S. |
1 | 1.02 | 0.74 | 9.99 | 0.00 | 2.19 | 0.00 | 0.00 | 8.67 |
time (sec) |
N/A | 0.684 | 1.203 | 1.739 | 0.000 | 0.278 | 0.000 | 0.000 | 21.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 226 | 198 | 2946 | 0 | 488 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.03 | 15.26 | 0.00 | 2.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.842 | 1.442 | 1.670 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 304 | 274 | 5218 | 0 | 571 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.05 | 19.92 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.330 | 3.635 | 1.628 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 229 | 1510 | 1815 | 0 | 940 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 7.22 | 8.68 | 0.00 | 4.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.211 | 7.220 | 1.346 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 981 | 2564 | 0 | 551 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.60 | 19.88 | 0.00 | 4.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 6.689 | 1.390 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 131 | 1291 | 8488 | 599 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 10.01 | 65.80 | 4.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 1.018 | 1.375 | 0.837 | 0.247 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 220 | 171 | 3196 | 0 | 673 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.88 | 16.47 | 0.00 | 3.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.853 | 1.229 | 1.335 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 309 | 257 | 4835 | 0 | 982 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.96 | 17.97 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.357 | 5.016 | 1.391 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 349 | 404 | 345 | 7870 | 0 | 1074 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.99 | 22.55 | 0.00 | 3.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.955 | 6.480 | 1.449 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 190 | 283 | 2968 | 0 | 849 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.56 | 16.40 | 0.00 | 4.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.743 | 9.474 | 1.468 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 188 | 1047 | 2907 | 0 | 1006 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 5.85 | 16.24 | 0.00 | 5.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 7.024 | 1.406 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 222 | 186 | 2448 | 0 | 968 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.99 | 13.02 | 0.00 | 5.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.829 | 2.350 | 1.562 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 0 | 278 | 4889 | 0 | 1300 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 17.65 | 0.00 | 4.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.504 | 1.405 | 0.000 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 402 | 480 | 7061 | 0 | 1546 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 1.36 | 19.95 | 0.00 | 4.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.908 | 6.993 | 1.398 | 0.000 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 444 | 513 | 644 | 10145 | 0 | 1774 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.45 | 22.85 | 0.00 | 4.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.626 | 7.442 | 1.445 | 0.000 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 114 | 128 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 183 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.737 | 1.761 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 95 | 112 | 78 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.391 | 1.154 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 70 | 64 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.329 | 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 | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 193 | 222 | 158 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.686 | 1.045 | 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 | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 273 | 313 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.120 | 2.246 | 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 | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 381 | 444 | 294 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.830 | 4.745 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 192 | 200 | 146 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.958 | 2.273 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 123 | 94 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 0.789 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 84 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 0.288 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 122 | 141 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.587 | 0.493 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 180 | 217 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.960 | 1.124 | 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 | F | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 264 | 321 | 215 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.590 | 3.438 | 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 | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 123 | 137 | 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 | 0.361 | 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 | F | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 130 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 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 | F | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 130 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.339 | 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 | F | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 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 | 0.321 | 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 | F | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 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 | 0.322 | 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 | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 130 | 141 | 148 | 147 | 240 | 1751 | 141 |
N.S. |
1 | 1.00 | 0.93 | 1.01 | 1.06 | 1.05 | 1.71 | 12.51 | 1.01 |
time (sec) |
N/A | 0.606 | 1.133 | 0.204 | 0.331 | 0.229 | 0.132 | 1.385 | 6.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 96 | 90 | 92 | 92 | 143 | 811 | 91 |
N.S. |
1 | 1.00 | 1.10 | 1.03 | 1.06 | 1.06 | 1.64 | 9.32 | 1.05 |
time (sec) |
N/A | 0.400 | 0.480 | 0.187 | 0.349 | 0.252 | 0.113 | 0.690 | 6.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 59 | 47 | 50 | 50 | 73 | 289 | 55 |
N.S. |
1 | 1.00 | 1.40 | 1.12 | 1.19 | 1.19 | 1.74 | 6.88 | 1.31 |
time (sec) |
N/A | 0.262 | 0.030 | 0.166 | 0.323 | 0.251 | 0.083 | 0.374 | 5.965 |
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 | 58 | 58 | 66 | 83 | 89 | 75 | 524 | 95 | 94 |
N.S. |
1 | 1.00 | 1.14 | 1.43 | 1.53 | 1.29 | 9.03 | 1.64 | 1.62 |
time (sec) |
N/A | 0.339 | 0.131 | 0.233 | 0.429 | 0.260 | 0.460 | 0.340 | 8.049 |
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 | 190 | 141 | 180 | 225 | 2878 | 234 | 152 |
N.S. |
1 | 1.10 | 1.71 | 1.27 | 1.62 | 2.03 | 25.93 | 2.11 | 1.37 |
time (sec) |
N/A | 0.540 | 2.415 | 0.260 | 0.430 | 0.245 | 0.844 | 0.418 | 6.798 |
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 | 243 | 206 | 333 | 501 | 0 | 413 | 279 |
N.S. |
1 | 1.13 | 1.39 | 1.18 | 1.90 | 2.86 | 0.00 | 2.36 | 1.59 |
time (sec) |
N/A | 0.828 | 4.738 | 0.382 | 0.404 | 0.261 | 0.000 | 0.533 | 6.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 221 | 232 | 253 | 252 | 445 | 3977 | 259 |
N.S. |
1 | 1.00 | 1.03 | 1.08 | 1.18 | 1.17 | 2.07 | 18.50 | 1.20 |
time (sec) |
N/A | 0.895 | 2.606 | 0.274 | 0.633 | 0.259 | 0.171 | 3.005 | 6.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 185 | 161 | 159 | 158 | 258 | 1955 | 230 |
N.S. |
1 | 1.00 | 1.41 | 1.23 | 1.21 | 1.21 | 1.97 | 14.92 | 1.76 |
time (sec) |
N/A | 0.616 | 1.210 | 0.246 | 0.315 | 0.248 | 0.131 | 1.339 | 6.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 96 | 90 | 91 | 91 | 143 | 811 | 91 |
N.S. |
1 | 1.00 | 1.08 | 1.01 | 1.02 | 1.02 | 1.61 | 9.11 | 1.02 |
time (sec) |
N/A | 0.412 | 0.490 | 0.152 | 0.315 | 0.249 | 0.106 | 0.664 | 6.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 93 | 108 | 117 | 123 | 129 | 1025 | 124 | 115 |
N.S. |
1 | 0.90 | 1.05 | 1.14 | 1.19 | 1.25 | 9.95 | 1.20 | 1.12 |
time (sec) |
N/A | 0.501 | 0.173 | 0.287 | 0.300 | 0.268 | 0.593 | 0.434 | 6.142 |