Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 76 | 547 | 326 | 169 | 311 | 324 | 215 |
N.S. | 1 | 1.00 | 0.84 | 6.01 | 3.58 | 1.86 | 3.42 | 3.56 | 2.36 |
time (sec) |
N/A | 0.085 | 0.180 | 0.300 | 0.278 | 0.351 | 0.364 | 0.431 | 0.452 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 61 | 308 | 222 | 109 | 202 | 204 | 143 |
N.S. | 1 | 1.00 | 0.87 | 4.40 | 3.17 | 1.56 | 2.89 | 2.91 | 2.04 |
time (sec) |
N/A | 0.056 | 0.112 | 0.303 | 0.268 | 0.338 | 0.251 | 0.441 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 44 | 147 | 134 | 62 | 112 | 112 | 82 |
N.S. | 1 | 1.00 | 0.90 | 3.00 | 2.73 | 1.27 | 2.29 | 2.29 | 1.67 |
time (sec) |
N/A | 0.034 | 0.088 | 0.303 | 0.275 | 0.405 | 0.181 | 0.414 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 53 | 68 | 29 | 46 | 46 | 35 |
N.S. | 1 | 1.00 | 0.96 | 1.89 | 2.43 | 1.04 | 1.64 | 1.64 | 1.25 |
time (sec) |
N/A | 0.014 | 0.053 | 0.424 | 0.261 | 0.372 | 0.087 | 0.411 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 49 | 82 | 57 | 94 | 0 | 57 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.61 | 1.12 | 1.84 | 0.00 | 1.12 | -0.02 |
time (sec) |
N/A | 0.077 | 0.057 | 0.365 | 0.295 | 0.333 | 0.000 | 0.409 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 65 | 133 | 80 | 148 | 0 | 615 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.87 | 1.13 | 2.08 | 0.00 | 8.66 | -0.01 |
time (sec) |
N/A | 0.093 | 0.151 | 0.378 | 0.299 | 0.371 | 0.000 | 0.447 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 88 | 277 | 94 | 254 | 0 | 301 | -1 |
N.S. |
1 | 1.00 | 0.85 | 2.66 | 0.90 | 2.44 | 0.00 | 2.89 | -0.01 |
time (sec) |
N/A | 0.125 | 0.376 | 0.388 | 0.317 | 0.369 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 132 | 910 | 382 | 312 | 660 | 374 | 334 |
N.S. | 1 | 1.00 | 0.81 | 5.62 | 2.36 | 1.93 | 4.07 | 2.31 | 2.06 |
time (sec) |
N/A | 0.076 | 0.363 | 0.442 | 0.320 | 0.371 | 0.700 | 0.450 | 0.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 104 | 523 | 263 | 209 | 456 | 243 | 229 |
N.S. | 1 | 1.00 | 0.78 | 3.90 | 1.96 | 1.56 | 3.40 | 1.81 | 1.71 |
time (sec) |
N/A | 0.050 | 0.250 | 0.372 | 0.283 | 0.351 | 0.384 | 0.430 | 0.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 75 | 262 | 165 | 123 | 264 | 136 | 127 |
N.S. | 1 | 1.00 | 0.79 | 2.76 | 1.74 | 1.29 | 2.78 | 1.43 | 1.34 |
time (sec) |
N/A | 0.043 | 0.185 | 0.368 | 0.267 | 0.337 | 0.240 | 0.441 | 0.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 52 | 103 | 88 | 64 | 126 | 63 | 60 |
N.S. | 1 | 1.00 | 0.95 | 1.87 | 1.60 | 1.16 | 2.29 | 1.15 | 1.09 |
time (sec) |
N/A | 0.018 | 0.127 | 0.418 | 0.263 | 0.350 | 0.147 | 0.438 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 66 | 97 | 72 | 104 | 0 | 68 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.24 | 0.92 | 1.33 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A | 0.113 | 0.083 | 3.020 | 0.293 | 0.336 | 0.000 | 0.447 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 75 | 152 | 88 | 166 | 0 | 574 | -1 |
N.S. | 1 | 1.00 | 0.93 | 1.88 | 1.09 | 2.05 | 0.00 | 7.09 | -0.01 |
time (sec) |
N/A | 0.108 | 0.291 | 3.308 | 0.318 | 0.391 | 0.000 | 0.483 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 102 | 299 | 99 | 280 | 0 | 330 | -1 |
N.S. | 1 | 1.00 | 0.91 | 2.67 | 0.88 | 2.50 | 0.00 | 2.95 | -0.01 |
time (sec) |
N/A | 0.136 | 0.616 | 3.328 | 0.322 | 0.357 | 0.000 | 0.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 123 | 555 | 110 | 411 | 0 | 537 | -1 |
N.S. | 1 | 1.00 | 0.76 | 3.43 | 0.68 | 2.54 | 0.00 | 3.31 | -0.01 |
time (sec) |
N/A | 0.130 | 0.611 | 3.246 | 0.308 | 0.358 | 0.000 | 0.422 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 150 | 1266 | 639 | 528 | 772 | 654 | 532 |
N.S. | 1 | 1.00 | 0.67 | 5.63 | 2.84 | 2.35 | 3.43 | 2.91 | 2.36 |
time (sec) |
N/A | 0.250 | 0.621 | 0.493 | 0.301 | 0.370 | 0.810 | 0.449 | 0.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 127 | 710 | 435 | 345 | 495 | 414 | 364 |
N.S. | 1 | 1.00 | 0.73 | 4.06 | 2.49 | 1.97 | 2.83 | 2.37 | 2.08 |
time (sec) |
N/A | 0.161 | 0.618 | 0.427 | 0.303 | 0.351 | 0.530 | 0.407 | 0.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 86 | 343 | 269 | 199 | 284 | 230 | 184 |
N.S. | 1 | 1.00 | 0.70 | 2.79 | 2.19 | 1.62 | 2.31 | 1.87 | 1.50 |
time (sec) |
N/A | 0.093 | 0.244 | 0.421 | 0.282 | 0.351 | 0.383 | 0.413 | 0.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 59 | 125 | 141 | 97 | 126 | 98 | 79 |
N.S. | 1 | 1.00 | 0.79 | 1.67 | 1.88 | 1.29 | 1.68 | 1.31 | 1.05 |
time (sec) |
N/A | 0.044 | 0.143 | 0.464 | 0.276 | 0.387 | 0.203 | 0.435 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 102 | 166 | 117 | 188 | 0 | 113 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.37 | 0.97 | 1.55 | 0.00 | 0.93 | -0.01 |
time (sec) |
N/A | 0.192 | 0.162 | 1.604 | 0.322 | 0.376 | 0.000 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 160 | 271 | 145 | 301 | 0 | 1076 | -1 |
N.S. | 1 | 1.00 | 1.10 | 1.87 | 1.00 | 2.08 | 0.00 | 7.42 | -0.01 |
time (sec) |
N/A | 0.193 | 0.817 | 1.620 | 0.337 | 0.340 | 0.000 | 0.475 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 220 | 562 | 145 | 529 | 0 | 601 | -1 |
N.S. | 1 | 1.00 | 1.20 | 3.05 | 0.79 | 2.88 | 0.00 | 3.27 | -0.01 |
time (sec) |
N/A | 0.303 | 0.539 | 1.642 | 0.343 | 0.334 | 0.000 | 0.423 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 296 | 541 | 333 | 396 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.99 | 3.63 | 2.23 | 2.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 2.052 | 0.880 | 0.345 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 170 | 306 | 195 | 242 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.72 | 3.09 | 1.97 | 2.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 1.587 | 0.772 | 0.327 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 174 | 60 | 0 | 119 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.48 | 1.20 | 0.00 | 2.38 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.029 | 0.059 | 0.507 | 0.000 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.015 | 9.354 | 180.000 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.015 | 9.265 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 133 | 473 | 320 | 1159 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.29 | 4.59 | 3.11 | 11.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.146 | 1.360 | 0.940 | 0.413 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 198 | 240 | 0 | 623 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.68 | 3.24 | 0.00 | 8.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.102 | 3.680 | 0.826 | 0.000 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 52 | 56 | 91 | 166 | 0 | 80 | 49 |
N.S. | 1 | 1.00 | 1.79 | 1.93 | 3.14 | 5.72 | 0.00 | 2.76 | 1.69 |
time (sec) |
N/A | 0.021 | 0.088 | 0.470 | 0.273 | 0.350 | 0.000 | 0.435 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.029 | 15.084 | 180.000 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.026 | 15.624 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 398 | 876 | 605 | 4008 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.55 | 3.42 | 2.36 | 15.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.195 | 5.980 | 1.069 | 0.420 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 375 | 444 | 393 | 2218 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.44 | 2.88 | 2.55 | 14.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.119 | 8.802 | 0.947 | 0.410 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 313 | 197 | 0 | 1026 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.40 | 2.14 | 0.00 | 11.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 1.688 | 0.691 | 0.000 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.033 | 52.153 | 180.000 | 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 | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.026 | 55.688 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 108 | 0 | 308 | 521 | 0 | 232 | -1 |
N.S. | 1 | 1.00 | 0.63 | 0.00 | 1.80 | 3.05 | 0.00 | 1.36 | -0.01 |
time (sec) |
N/A | 0.261 | 0.040 | 180.000 | 0.278 | 0.352 | 0.000 | 0.471 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 106 | 0 | 268 | 385 | 0 | 202 | -1 |
N.S. | 1 | 1.00 | 0.73 | 0.00 | 1.84 | 2.64 | 0.00 | 1.38 | -0.01 |
time (sec) |
N/A | 0.168 | 0.068 | 180.000 | 0.273 | 0.353 | 0.000 | 0.488 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 104 | 0 | 230 | 301 | 0 | 168 | -1 |
N.S. | 1 | 1.00 | 0.85 | 0.00 | 1.87 | 2.45 | 0.00 | 1.37 | -0.01 |
time (sec) |
N/A | 0.126 | 0.063 | 180.000 | 0.283 | 0.359 | 0.000 | 0.451 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 104 | 0 | 181 | 122 | 0 | 90 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 1.74 | 1.17 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A | 0.091 | 0.024 | 180.000 | 0.282 | 0.374 | 0.000 | 0.436 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 120 | 0 | 103 | 339 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 0.00 | 0.87 | 2.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.135 | 0.107 | 180.000 | 0.261 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 161 | 0 | 114 | 532 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 0.00 | 0.77 | 3.57 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.171 | 0.529 | 180.000 | 0.343 | 0.395 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 168 | 0 | 114 | 855 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.66 | 4.91 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.221 | 0.381 | 180.000 | 0.353 | 0.374 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 190 | 0 | 281 | 1001 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.00 | 1.18 | 4.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.310 | 4.511 | 180.000 | 0.479 | 0.359 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 163 | 0 | 239 | 755 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.00 | 1.13 | 3.58 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.224 | 1.558 | 180.000 | 0.492 | 0.624 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 129 | 0 | 189 | 590 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.00 | 1.14 | 3.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.202 | 0.407 | 180.000 | 0.476 | 0.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 142 | 0 | 107 | 155 | 0 | 115 | -1 |
N.S. | 1 | 1.00 | 1.02 | 0.00 | 0.77 | 1.12 | 0.00 | 0.83 | -0.01 |
time (sec) |
N/A | 0.156 | 0.081 | 180.000 | 0.478 | 0.462 | 0.000 | 0.534 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 570 | 0 | 116 | 571 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.01 | 0.00 | 0.82 | 4.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.166 | 3.199 | 180.000 | 0.346 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 156 | 0 | 118 | 864 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.68 | 4.97 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.226 | 0.795 | 180.000 | 0.344 | 0.541 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 825 | 0 | 118 | 1352 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.75 | 0.00 | 0.54 | 6.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.222 | 6.082 | 180.000 | 0.330 | 0.463 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 222 | 0 | 118 | 1827 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.47 | 7.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 0.369 | 180.000 | 0.326 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 243 | 0 | 513 | 2090 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 1.35 | 5.49 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.798 | 6.676 | 180.000 | 0.506 | 0.462 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 243 | 0 | 430 | 1543 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.00 | 1.32 | 4.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.612 | 2.702 | 180.000 | 0.483 | 0.440 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 209 | 0 | 333 | 1216 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.76 | 0.00 | 1.21 | 4.42 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.382 | 0.207 | 180.000 | 0.482 | 0.381 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 191 | 0 | 178 | 252 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 0.78 | 1.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.288 | 0.131 | 180.000 | 0.494 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 574 | 0 | 197 | 1346 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.33 | 0.00 | 0.80 | 5.47 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.325 | 8.422 | 180.000 | 0.370 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 253 | 0 | 196 | 2059 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.71 | 7.43 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.516 | 2.002 | 180.000 | 0.361 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 331 | 331 | 3211 | 0 | 197 | 3286 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.70 | 0.00 | 0.60 | 9.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.575 | 14.151 | 180.000 | 0.357 | 0.469 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | B | C | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 50 | 132 | 175 | 189 | 133 | 146 | -1 |
N.S. | 1 | 1.00 | 0.45 | 1.19 | 1.58 | 1.70 | 1.20 | 1.32 | -0.01 |
time (sec) |
N/A | 0.111 | 0.011 | 0.237 | 0.262 | 0.340 | 13.772 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | B | C | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 49 | 120 | 149 | 137 | 99 | 108 | -1 |
N.S. | 1 | 1.00 | 0.53 | 1.30 | 1.62 | 1.49 | 1.08 | 1.17 | -0.01 |
time (sec) |
N/A | 0.078 | 0.012 | 0.196 | 0.290 | 0.581 | 1.019 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | C | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 47 | 71 | 116 | 58 | 70 | 61 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.92 | 1.51 | 0.75 | 0.91 | 0.79 | -0.01 |
time (sec) |
N/A | 0.051 | 0.007 | 0.196 | 0.274 | 0.416 | 0.565 | 0.447 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 49 | 120 | 74 | 137 | 94 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 1.38 | 0.85 | 1.57 | 1.08 | 0.00 | -0.01 |
time (sec) |
N/A | 0.079 | 0.015 | 0.198 | 0.269 | 0.442 | 1.989 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 84 | 132 | 57 | 178 | 129 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 1.16 | 0.50 | 1.56 | 1.13 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.055 | 0.198 | 0.315 | 0.414 | 15.711 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.020 | 23.349 | 180.000 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.020 | 15.644 | 180.000 | 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 | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.071 | 5.432 | 0.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 17 | 0 | 0 | 0 | 0 | 0 | 38 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.90 |
time (sec) |
N/A | 0.036 | 0.078 | 1.747 | 0.000 | 0.000 | 0.000 | 0.000 | 0.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 0 | 0 | 108 | 0 | 0 | 40 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 4.50 | 0.00 | 0.00 | 1.67 |
time (sec) |
N/A | 0.038 | 0.043 | 1.652 | 0.000 | 0.347 | 0.000 | 0.000 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 0 | 0 | 0 | 0 | 0 | 111 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.36 |
time (sec) |
N/A | 0.052 | 0.077 | 1.813 | 0.000 | 0.000 | 0.000 | 0.000 | 0.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 68 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.080 | 0.848 | 1.678 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.031 | 2.010 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 206 | 0 | 161 | 340 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 0.00 | 0.68 | 1.43 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.225 | 0.144 | 180.000 | 0.082 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 131 | 0 | 102 | 241 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.71 | 1.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.140 | 0.123 | 180.000 | 0.070 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 101 | 0 | 79 | 168 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.72 | 1.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.061 | 0.044 | 180.000 | 0.060 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.015 | 5.970 | 180.000 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.024 | 2.439 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 73 | 55 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.24 | 0.93 | 1.46 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.051 | 0.020 | 0.171 | 0.075 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 53 | 73 | 55 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.24 | 0.93 | 1.46 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.051 | 0.016 | 0.173 | 0.079 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 73 | 55 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.24 | 0.93 | 1.46 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.049 | 0.017 | 0.161 | 0.087 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 53 | 73 | 55 | 78 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.24 | 0.93 | 1.32 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.047 | 0.014 | 0.155 | 0.077 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 67 | 43 | 78 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.37 | 0.88 | 1.59 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.048 | 0.017 | 0.181 | 0.083 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 51 | 67 | 55 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 1.22 | 1.00 | 1.56 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.049 | 0.015 | 0.187 | 0.094 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 71 | 55 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.20 | 0.93 | 1.46 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.050 | 0.017 | 0.168 | 0.093 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 79 | 0 | 71 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.83 | 1.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 0.101 | 0.285 | 0.082 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 78 | 0 | 71 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.84 | 1.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.100 | 0.225 | 0.075 | 0.138 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 79 | 0 | 71 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.83 | 1.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.102 | 0.093 | 0.228 | 0.074 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 76 | 0 | 71 | 122 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.84 | 1.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 0.080 | 0.215 | 0.081 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 63 | 0 | 55 | 117 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.76 | 1.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.065 | 0.284 | 0.094 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 72 | 0 | 0 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 1.64 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.088 | 0.287 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 77 | 0 | 0 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.082 | 0.286 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.075 | 0.059 | 1.598 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.078 | 0.084 | 1.587 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 45 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.086 | 0.094 | 1.566 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 63 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 0.103 | 1.587 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 128 | 494 | 248 | 287 | 517 | 262 | 196 |
N.S. | 1 | 1.00 | 1.31 | 5.04 | 2.53 | 2.93 | 5.28 | 2.67 | 2.00 |
time (sec) |
N/A | 0.099 | 0.293 | 0.441 | 0.294 | 0.345 | 0.443 | 0.456 | 0.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 88 | 249 | 149 | 175 | 314 | 150 | 118 |
N.S. | 1 | 1.00 | 1.19 | 3.36 | 2.01 | 2.36 | 4.24 | 2.03 | 1.59 |
time (sec) |
N/A | 0.071 | 0.254 | 0.368 | 0.269 | 0.373 | 0.281 | 0.440 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 48 | 96 | 70 | 84 | 162 | 69 | 56 |
N.S. | 1 | 1.00 | 0.96 | 1.92 | 1.40 | 1.68 | 3.24 | 1.38 | 1.12 |
time (sec) |
N/A | 0.034 | 0.077 | 0.380 | 0.263 | 0.345 | 0.197 | 0.434 | 0.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 60 | 96 | 73 | 81 | 0 | 69 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.37 | 1.04 | 1.16 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.116 | 0.174 | 0.543 | 0.320 | 0.357 | 0.000 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 83 | 153 | 90 | 139 | 0 | 630 | -1 |
N.S. |
1 | 1.00 | 0.87 | 1.61 | 0.95 | 1.46 | 0.00 | 6.63 | -0.01 |
time (sec) |
N/A | 0.131 | 0.280 | 0.502 | 0.307 | 0.375 | 0.000 | 0.447 | 0.000 |