Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 95 | 216 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.77 | 1.76 | 0.00 | 2.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.088 | 0.165 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 157 | 105 | 300 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.52 | 1.48 | 0.00 | 1.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.537 | 0.114 | 0.180 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 189 | 133 | 384 | 0 | 497 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.47 | 1.36 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.690 | 0.126 | 0.177 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 363 | 221 | 151 | 468 | 0 | 569 | 0 | 0 | 0 |
N.S. |
1 | 0.61 | 0.42 | 1.29 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.893 | 0.147 | 0.174 | 0.000 | 0.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 300 | 98 | 98 | 102 | 0 | 542 | 0 | 0 | 0 |
N.S. |
1 | 0.33 | 0.33 | 0.34 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.050 | 0.135 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 99 | 98 | 102 | 0 | 542 | 0 | 0 | 0 |
N.S. |
1 | 0.33 | 0.33 | 0.34 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 0.045 | 0.136 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 76 | 90 | 86 | 0 | 474 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.41 | 0.39 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 0.037 | 0.145 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 59 | 64 | 70 | 0 | 378 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.44 | 0.48 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.034 | 0.145 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 47 | 47 | 61 | 148 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.44 | 0.56 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.404 | 0.026 | 0.165 | 0.294 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 64 | 59 | 77 | 0 | 440 | 0 | 0 | 0 |
N.S. |
1 | 0.52 | 0.48 | 0.63 | 0.00 | 3.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.412 | 0.037 | 0.125 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 80 | 87 | 106 | 0 | 477 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.50 | 0.61 | 0.00 | 2.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.044 | 0.127 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 111 | 113 | 176 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.42 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.062 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 363 | 141 | 146 | 248 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.39 | 0.40 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.542 | 0.086 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 375 | 115 | 115 | 118 | 0 | 606 | 0 | 0 | 0 |
N.S. |
1 | 0.31 | 0.31 | 0.31 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.077 | 0.135 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 97 | 98 | 102 | 0 | 542 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.33 | 0.34 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.482 | 0.044 | 0.145 | 0.000 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 76 | 82 | 86 | 0 | 478 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.37 | 0.39 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.434 | 0.042 | 0.132 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 58 | 72 | 70 | 0 | 377 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 0.50 | 0.49 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.032 | 0.172 | 0.000 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 38 | 38 | 53 | 0 | 321 | 0 | 0 | 0 |
N.S. |
1 | 0.55 | 0.55 | 0.77 | 0.00 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 0.020 | 0.127 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 50 | 50 | 51 | 21 | 367 | 0 | 0 | 0 |
N.S. |
1 | 0.65 | 0.65 | 0.66 | 0.27 | 4.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.391 | 0.024 | 0.123 | 0.230 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 81 | 91 | 95 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.52 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 0.044 | 0.128 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 107 | 88 | 167 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.493 | 0.091 | 0.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 361 | 139 | 145 | 239 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.39 | 0.40 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 0.087 | 0.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 455 | 216 | 166 | 267 | 0 | 482 | 1408 | 707 | 0 |
N.S. |
1 | 0.47 | 0.36 | 0.59 | 0.00 | 1.06 | 3.09 | 1.55 | 0.00 |
time (sec) |
N/A | 0.544 | 0.192 | 0.254 | 0.000 | 0.300 | 47.693 | 39.948 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 375 | 181 | 150 | 251 | 0 | 438 | 1059 | 561 | 0 |
N.S. |
1 | 0.48 | 0.40 | 0.67 | 0.00 | 1.17 | 2.82 | 1.50 | 0.00 |
time (sec) |
N/A | 0.493 | 0.159 | 0.179 | 0.000 | 0.273 | 16.754 | 41.225 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 146 | 134 | 235 | 0 | 394 | 500 | 416 | 0 |
N.S. |
1 | 0.50 | 0.46 | 0.80 | 0.00 | 1.34 | 1.71 | 1.42 | 0.00 |
time (sec) |
N/A | 0.435 | 0.122 | 0.152 | 0.000 | 0.271 | 8.679 | 1.932 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 109 | 115 | 203 | 0 | 317 | 376 | 265 | 0 |
N.S. |
1 | 0.51 | 0.54 | 0.96 | 0.00 | 1.50 | 1.77 | 1.25 | 0.00 |
time (sec) |
N/A | 0.390 | 0.104 | 0.131 | 0.000 | 0.267 | 5.485 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 71 | 80 | 195 | 0 | 270 | 0 | 0 | 0 |
N.S. |
1 | 0.60 | 0.68 | 1.65 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 0.099 | 0.122 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 92 | 69 | 156 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.62 | 1.41 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 0.096 | 0.132 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 126 | 95 | 204 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.77 | 1.65 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 0.082 | 0.256 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 158 | 105 | 288 | 0 | 352 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.54 | 1.48 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.585 | 0.099 | 0.137 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 190 | 131 | 372 | 0 | 496 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.49 | 1.38 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.726 | 0.118 | 0.206 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 97 | 97 | 102 | 0 | 544 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.32 | 0.34 | 0.00 | 1.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.466 | 0.070 | 0.141 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 99 | 98 | 102 | 0 | 544 | 0 | 0 | 0 |
N.S. |
1 | 0.33 | 0.33 | 0.34 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.043 | 0.146 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 74 | 92 | 86 | 0 | 480 | 0 | 0 | 0 |
N.S. |
1 | 0.34 | 0.42 | 0.39 | 0.00 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.036 | 0.140 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 60 | 64 | 70 | 0 | 376 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.44 | 0.48 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.032 | 0.273 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 45 | 45 | 62 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.42 | 0.42 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.411 | 0.027 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 63 | 58 | 78 | 53 | 439 | 0 | 0 | 0 |
N.S. |
1 | 0.52 | 0.48 | 0.64 | 0.43 | 3.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 0.038 | 0.139 | 0.222 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 76 | 86 | 106 | 0 | 477 | 0 | 0 | 0 |
N.S. |
1 | 0.45 | 0.51 | 0.62 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.457 | 0.049 | 0.135 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 109 | 110 | 176 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.41 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.493 | 0.073 | 0.137 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 359 | 137 | 146 | 248 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.38 | 0.41 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.093 | 0.200 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 51 | 51 | 53 | 30 | 78 | 0 | 0 | 45 |
N.S. |
1 | 0.64 | 0.64 | 0.66 | 0.38 | 0.98 | 0.00 | 0.00 | 0.56 |
time (sec) |
N/A | 0.484 | 0.027 | 0.132 | 0.269 | 0.257 | 0.000 | 0.000 | 4.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 47 | 42 | 43 | 20 | 58 | 0 | 0 | 38 |
N.S. |
1 | 0.64 | 0.57 | 0.58 | 0.27 | 0.78 | 0.00 | 0.00 | 0.51 |
time (sec) |
N/A | 0.453 | 0.026 | 0.122 | 0.249 | 0.254 | 0.000 | 0.000 | 3.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 44 | 41 | 42 | 18 | 57 | 0 | 0 | 36 |
N.S. |
1 | 0.62 | 0.58 | 0.59 | 0.25 | 0.80 | 0.00 | 0.00 | 0.51 |
time (sec) |
N/A | 0.384 | 0.021 | 0.123 | 0.245 | 0.255 | 0.000 | 0.000 | 3.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 37 | 37 | 52 | 17 | 320 | 0 | 0 | 0 |
N.S. |
1 | 0.54 | 0.54 | 0.76 | 0.25 | 4.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 0.007 | 0.135 | 0.240 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 41 | 37 | 52 | 19 | 294 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.56 | 0.79 | 0.29 | 4.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.017 | 0.125 | 0.240 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 42 | 43 | 20 | 63 | 0 | 0 | 35 |
N.S. |
1 | 1.00 | 0.98 | 1.00 | 0.47 | 1.47 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.447 | 0.016 | 0.125 | 0.248 | 0.251 | 0.000 | 0.000 | 3.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 148 | 93 | 134 | 0 | 222 | 0 | 128 | 0 |
N.S. |
1 | 0.92 | 0.58 | 0.84 | 0.00 | 1.39 | 0.00 | 0.80 | 0.00 |
time (sec) |
N/A | 0.463 | 0.131 | 0.146 | 0.000 | 0.256 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 111 | 84 | 125 | 0 | 204 | 0 | 116 | 0 |
N.S. |
1 | 0.90 | 0.68 | 1.02 | 0.00 | 1.66 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.422 | 0.105 | 0.142 | 0.000 | 0.261 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 90 | 77 | 114 | 0 | 188 | 0 | 106 | 0 |
N.S. |
1 | 0.92 | 0.79 | 1.16 | 0.00 | 1.92 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.347 | 0.047 | 0.140 | 0.000 | 0.247 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 71 | 81 | 195 | 0 | 270 | 0 | 0 | 0 |
N.S. |
1 | 0.60 | 0.69 | 1.65 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 0.028 | 0.000 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 75 | 85 | 148 | 0 | 255 | 0 | 128 | 0 |
N.S. |
1 | 0.64 | 0.72 | 1.25 | 0.00 | 2.16 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.424 | 0.123 | 0.153 | 0.000 | 0.264 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 96 | 79 | 142 | 0 | 177 | 0 | 195 | 0 |
N.S. |
1 | 0.86 | 0.71 | 1.28 | 0.00 | 1.59 | 0.00 | 1.76 | 0.00 |
time (sec) |
N/A | 0.429 | 0.084 | 0.142 | 0.000 | 0.251 | 0.000 | 0.362 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 118 | 71 | 150 | 0 | 201 | 0 | 231 | 0 |
N.S. |
1 | 0.85 | 0.51 | 1.08 | 0.00 | 1.45 | 0.00 | 1.66 | 0.00 |
time (sec) |
N/A | 0.463 | 0.089 | 0.201 | 0.000 | 0.259 | 0.000 | 0.678 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 150 | 95 | 159 | 0 | 217 | 0 | 316 | 0 |
N.S. |
1 | 0.96 | 0.61 | 1.02 | 0.00 | 1.39 | 0.00 | 2.03 | 0.00 |
time (sec) |
N/A | 0.504 | 0.088 | 0.138 | 0.000 | 0.275 | 0.000 | 1.804 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 172 | 103 | 167 | 0 | 233 | 0 | 362 | 0 |
N.S. |
1 | 0.95 | 0.57 | 0.92 | 0.00 | 1.29 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.093 | 0.151 | 0.000 | 0.259 | 0.000 | 2.164 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 71 | 71 | 85 | 196 | 419 | 0 | 0 | 0 |
N.S. |
1 | 0.38 | 0.38 | 0.45 | 1.04 | 2.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.038 | 0.146 | 0.289 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 65 | 65 | 78 | 172 | 405 | 0 | 0 | 0 |
N.S. |
1 | 0.42 | 0.42 | 0.51 | 1.12 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.482 | 0.035 | 0.138 | 0.283 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 55 | 55 | 69 | 149 | 387 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.48 | 0.61 | 1.31 | 3.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 0.022 | 0.142 | 0.299 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 47 | 47 | 61 | 148 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.44 | 0.56 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.407 | 0.012 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 52 | 49 | 63 | 144 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.49 | 0.46 | 0.59 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 0.027 | 0.138 | 0.274 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 64 | 64 | 78 | 159 | 492 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.43 | 0.53 | 1.07 | 3.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 0.038 | 0.138 | 0.290 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 74 | 74 | 86 | 184 | 530 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 0.40 | 0.46 | 0.98 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 0.041 | 0.140 | 0.292 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 80 | 80 | 94 | 209 | 556 | 0 | 0 | 0 |
N.S. |
1 | 0.36 | 0.36 | 0.42 | 0.94 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 0.043 | 0.163 | 0.289 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 92 | 92 | 102 | 240 | 582 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.35 | 0.39 | 0.91 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.049 | 0.139 | 0.331 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 52 | 52 | 69 | 55 | 78 | 0 | 0 | 78 |
N.S. |
1 | 0.64 | 0.64 | 0.85 | 0.68 | 0.96 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.486 | 0.034 | 0.151 | 0.238 | 0.261 | 0.000 | 0.000 | 3.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 47 | 42 | 54 | 43 | 58 | 0 | 0 | 67 |
N.S. |
1 | 0.64 | 0.57 | 0.73 | 0.58 | 0.78 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.456 | 0.019 | 0.155 | 0.234 | 0.242 | 0.000 | 0.000 | 3.606 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 45 | 41 | 53 | 51 | 57 | 0 | 0 | 67 |
N.S. |
1 | 0.63 | 0.58 | 0.75 | 0.72 | 0.80 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.372 | 0.015 | 0.152 | 0.243 | 0.246 | 0.000 | 0.000 | 3.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 38 | 38 | 53 | 0 | 321 | 0 | 0 | 0 |
N.S. |
1 | 0.55 | 0.55 | 0.77 | 0.00 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.392 | 0.009 | 0.133 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 42 | 38 | 51 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.57 | 0.76 | 0.00 | 4.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 0.022 | 0.139 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 54 | 0 | 63 | 0 | 0 | 64 |
N.S. |
1 | 1.00 | 1.00 | 1.23 | 0.00 | 1.43 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.448 | 0.018 | 0.137 | 0.000 | 0.247 | 0.000 | 0.000 | 3.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 148 | 93 | 134 | 0 | 222 | 0 | 128 | 0 |
N.S. |
1 | 0.91 | 0.57 | 0.82 | 0.00 | 1.36 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.475 | 0.133 | 0.147 | 0.000 | 0.268 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 115 | 84 | 124 | 0 | 204 | 0 | 117 | 0 |
N.S. |
1 | 0.91 | 0.67 | 0.98 | 0.00 | 1.62 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.408 | 0.106 | 0.135 | 0.000 | 0.256 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 91 | 100 | 114 | 0 | 188 | 0 | 106 | 0 |
N.S. |
1 | 0.92 | 1.01 | 1.15 | 0.00 | 1.90 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.345 | 0.045 | 0.142 | 0.000 | 0.257 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 71 | 80 | 195 | 0 | 270 | 0 | 0 | 0 |
N.S. |
1 | 0.60 | 0.68 | 1.65 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 0.033 | 0.141 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 78 | 83 | 148 | 0 | 255 | 0 | 126 | 0 |
N.S. |
1 | 0.66 | 0.70 | 1.25 | 0.00 | 2.16 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.431 | 0.114 | 0.145 | 0.000 | 0.257 | 0.000 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 96 | 78 | 143 | 0 | 176 | 0 | 195 | 0 |
N.S. |
1 | 0.86 | 0.70 | 1.28 | 0.00 | 1.57 | 0.00 | 1.74 | 0.00 |
time (sec) |
N/A | 0.444 | 0.082 | 0.216 | 0.000 | 0.266 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 119 | 86 | 151 | 0 | 200 | 0 | 231 | 0 |
N.S. |
1 | 0.85 | 0.61 | 1.08 | 0.00 | 1.43 | 0.00 | 1.65 | 0.00 |
time (sec) |
N/A | 0.465 | 0.083 | 0.158 | 0.000 | 0.253 | 0.000 | 0.668 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 150 | 94 | 159 | 0 | 216 | 0 | 316 | 0 |
N.S. |
1 | 0.96 | 0.60 | 1.02 | 0.00 | 1.38 | 0.00 | 2.03 | 0.00 |
time (sec) |
N/A | 0.498 | 0.090 | 0.138 | 0.000 | 0.256 | 0.000 | 1.836 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 173 | 102 | 167 | 0 | 232 | 0 | 362 | 0 |
N.S. |
1 | 0.96 | 0.56 | 0.92 | 0.00 | 1.28 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.537 | 0.090 | 0.138 | 0.000 | 0.275 | 0.000 | 2.194 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 70 | 70 | 85 | 0 | 419 | 0 | 0 | 0 |
N.S. |
1 | 0.37 | 0.37 | 0.45 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.515 | 0.041 | 0.158 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 64 | 64 | 78 | 0 | 407 | 0 | 0 | 0 |
N.S. |
1 | 0.42 | 0.42 | 0.51 | 0.00 | 2.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.503 | 0.038 | 0.152 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 54 | 54 | 69 | 0 | 387 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.48 | 0.61 | 0.00 | 3.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.406 | 0.024 | 0.136 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 45 | 45 | 62 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.42 | 0.42 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 0.009 | 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 | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 51 | 48 | 63 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.45 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.494 | 0.028 | 0.152 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 63 | 63 | 78 | 0 | 485 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.43 | 0.53 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.538 | 0.058 | 0.165 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 73 | 73 | 86 | 0 | 523 | 0 | 0 | 0 |
N.S. |
1 | 0.39 | 0.39 | 0.46 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.508 | 0.043 | 0.146 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 78 | 78 | 94 | 0 | 551 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.35 | 0.43 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.517 | 0.037 | 0.163 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 91 | 87 | 102 | 0 | 575 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.33 | 0.39 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.514 | 0.047 | 0.137 | 0.000 | 0.292 | 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 | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.018 | 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 | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.370 | 0.014 | 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 | 331 | 330 | 229 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.957 | 0.643 | 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 | 137 | 225 | 126 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.64 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 0.186 | 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 | 125 | 1 | 82 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.01 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 0.078 | 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 | 373 | 370 | 178 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 0.128 | 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(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 430 | 317 | 190 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.863 | 1.422 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 272 | 226 | 208 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.552 | 0.123 | 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 | 182 | 154 | 130 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.076 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 212 | 186 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 0.176 | 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(-2) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1039 | 650 | 227 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.041 | 6.989 | 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 | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |