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 | A | A | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 87 | 117 | 123 | 126 | 169 | 0 | 0 | 280 |
N.S. |
1 | 0.95 | 1.27 | 1.34 | 1.37 | 1.84 | 0.00 | 0.00 | 3.04 |
time (sec) |
N/A | 0.340 | 0.230 | 2.260 | 0.261 | 0.264 | 0.000 | 0.000 | 12.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 87 | 66 | 123 | 126 | 160 | 0 | 0 | 242 |
N.S. |
1 | 0.95 | 0.72 | 1.34 | 1.37 | 1.74 | 0.00 | 0.00 | 2.63 |
time (sec) |
N/A | 0.337 | 0.134 | 1.658 | 0.240 | 0.281 | 0.000 | 0.000 | 11.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 109 | 104 | 104 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.382 | 0.178 | 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 | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 160 | 156 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 0.151 | 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 | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 210 | 518 | 111 | 705 | 110 | 0 | 309 | 303 |
N.S. |
1 | 1.00 | 2.48 | 0.53 | 3.37 | 0.53 | 0.00 | 1.48 | 1.45 |
time (sec) |
N/A | 0.985 | 9.532 | 0.551 | 0.307 | 0.280 | 0.000 | 0.337 | 13.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 180 | 573 | 133 | 624 | 100 | 0 | 270 | 263 |
N.S. |
1 | 0.98 | 3.13 | 0.73 | 3.41 | 0.55 | 0.00 | 1.48 | 1.44 |
time (sec) |
N/A | 0.804 | 8.215 | 0.454 | 0.316 | 0.277 | 0.000 | 0.322 | 13.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 170 | 533 | 111 | 583 | 90 | 5501 | 257 | 251 |
N.S. |
1 | 1.03 | 3.23 | 0.67 | 3.53 | 0.55 | 33.34 | 1.56 | 1.52 |
time (sec) |
N/A | 0.792 | 10.028 | 0.392 | 0.431 | 0.280 | 118.032 | 0.342 | 13.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 140 | 479 | 100 | 522 | 80 | 4490 | 231 | 224 |
N.S. |
1 | 1.01 | 3.45 | 0.72 | 3.76 | 0.58 | 32.30 | 1.66 | 1.61 |
time (sec) |
N/A | 0.656 | 6.761 | 0.346 | 0.327 | 0.265 | 77.710 | 0.302 | 13.429 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 127 | 481 | 100 | 501 | 70 | 3888 | 231 | 225 |
N.S. |
1 | 1.05 | 3.98 | 0.83 | 4.14 | 0.58 | 32.13 | 1.91 | 1.86 |
time (sec) |
N/A | 0.590 | 7.299 | 0.285 | 0.304 | 0.283 | 50.201 | 0.304 | 13.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 131 | 102 | 90 | 402 | 104 | 0 | 195 | 305 |
N.S. |
1 | 0.92 | 0.71 | 0.63 | 2.81 | 0.73 | 0.00 | 1.36 | 2.13 |
time (sec) |
N/A | 0.541 | 0.780 | 0.379 | 0.396 | 0.287 | 0.000 | 0.306 | 12.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 130 | 146 | 129 | 379 | 124 | 0 | 199 | 296 |
N.S. |
1 | 0.95 | 1.07 | 0.94 | 2.77 | 0.91 | 0.00 | 1.45 | 2.16 |
time (sec) |
N/A | 0.471 | 1.288 | 0.430 | 0.294 | 0.268 | 0.000 | 0.319 | 9.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 149 | 179 | 184 | 383 | 148 | 0 | 216 | 303 |
N.S. |
1 | 0.99 | 1.19 | 1.23 | 2.55 | 0.99 | 0.00 | 1.44 | 2.02 |
time (sec) |
N/A | 0.497 | 1.079 | 0.497 | 0.301 | 0.286 | 0.000 | 0.357 | 10.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 132 | 197 | 167 | 362 | 168 | 0 | 228 | 290 |
N.S. |
1 | 0.90 | 1.35 | 1.14 | 2.48 | 1.15 | 0.00 | 1.56 | 1.99 |
time (sec) |
N/A | 0.501 | 1.283 | 0.435 | 0.304 | 0.284 | 0.000 | 0.355 | 10.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 151 | 252 | 192 | 340 | 191 | 0 | 224 | 286 |
N.S. |
1 | 1.01 | 1.68 | 1.28 | 2.27 | 1.27 | 0.00 | 1.49 | 1.91 |
time (sec) |
N/A | 0.483 | 1.332 | 0.434 | 0.312 | 0.273 | 0.000 | 0.348 | 10.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 135 | 264 | 179 | 319 | 211 | 0 | 217 | 279 |
N.S. |
1 | 0.98 | 1.91 | 1.30 | 2.31 | 1.53 | 0.00 | 1.57 | 2.02 |
time (sec) |
N/A | 0.596 | 1.590 | 0.378 | 0.340 | 0.291 | 0.000 | 0.361 | 10.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 141 | 317 | 178 | 298 | 236 | 0 | 224 | 413 |
N.S. |
1 | 0.99 | 2.23 | 1.25 | 2.10 | 1.66 | 0.00 | 1.58 | 2.91 |
time (sec) |
N/A | 0.908 | 1.714 | 0.415 | 0.381 | 0.274 | 0.000 | 0.379 | 12.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 110 | 284 | 168 | 315 | 198 | 0 | 244 | 387 |
N.S. |
1 | 1.04 | 2.68 | 1.58 | 2.97 | 1.87 | 0.00 | 2.30 | 3.65 |
time (sec) |
N/A | 0.614 | 0.635 | 0.393 | 0.215 | 0.264 | 0.000 | 0.380 | 11.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 139 | 291 | 226 | 354 | 216 | 0 | 274 | 435 |
N.S. |
1 | 1.04 | 2.17 | 1.69 | 2.64 | 1.61 | 0.00 | 2.04 | 3.25 |
time (sec) |
N/A | 0.815 | 1.915 | 0.417 | 0.217 | 0.263 | 0.000 | 0.380 | 12.887 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 154 | 313 | 226 | 355 | 249 | 0 | 273 | 435 |
N.S. |
1 | 1.01 | 2.06 | 1.49 | 2.34 | 1.64 | 0.00 | 1.80 | 2.86 |
time (sec) |
N/A | 0.881 | 2.379 | 0.477 | 0.219 | 0.280 | 0.000 | 0.357 | 13.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 180 | 386 | 252 | 394 | 272 | 0 | 303 | 483 |
N.S. |
1 | 1.02 | 2.19 | 1.43 | 2.24 | 1.55 | 0.00 | 1.72 | 2.74 |
time (sec) |
N/A | 1.000 | 2.528 | 0.524 | 0.206 | 0.287 | 0.000 | 0.376 | 15.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 192 | 187 | 272 | 475 | 302 | 0 | 360 | 579 |
N.S. |
1 | 0.99 | 0.96 | 1.40 | 2.45 | 1.56 | 0.00 | 1.86 | 2.98 |
time (sec) |
N/A | 1.053 | 3.483 | 0.619 | 0.219 | 0.301 | 0.000 | 0.366 | 17.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 207 | 638 | 133 | 648 | 110 | 0 | 270 | 264 |
N.S. |
1 | 1.02 | 3.14 | 0.66 | 3.19 | 0.54 | 0.00 | 1.33 | 1.30 |
time (sec) |
N/A | 0.655 | 8.085 | 0.518 | 0.315 | 0.296 | 0.000 | 0.379 | 12.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 189 | 585 | 122 | 605 | 100 | 0 | 257 | 250 |
N.S. |
1 | 1.02 | 3.16 | 0.66 | 3.27 | 0.54 | 0.00 | 1.39 | 1.35 |
time (sec) |
N/A | 0.667 | 5.638 | 0.426 | 0.321 | 0.283 | 0.000 | 0.338 | 12.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 163 | 430 | 89 | 542 | 90 | 0 | 231 | 225 |
N.S. |
1 | 1.03 | 2.70 | 0.56 | 3.41 | 0.57 | 0.00 | 1.45 | 1.42 |
time (sec) |
N/A | 0.576 | 3.793 | 0.385 | 0.390 | 0.296 | 0.000 | 0.348 | 12.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 145 | 481 | 100 | 479 | 80 | 3934 | 205 | 198 |
N.S. |
1 | 1.03 | 3.41 | 0.71 | 3.40 | 0.57 | 27.90 | 1.45 | 1.40 |
time (sec) |
N/A | 0.587 | 3.230 | 0.357 | 0.310 | 0.258 | 124.813 | 0.345 | 13.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 135 | 418 | 89 | 436 | 70 | 3196 | 192 | 186 |
N.S. |
1 | 1.09 | 3.37 | 0.72 | 3.52 | 0.56 | 25.77 | 1.55 | 1.50 |
time (sec) |
N/A | 0.597 | 3.774 | 0.304 | 0.361 | 0.277 | 83.563 | 0.318 | 13.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 123 | 93 | 79 | 333 | 94 | 0 | 156 | 262 |
N.S. |
1 | 1.03 | 0.78 | 0.66 | 2.80 | 0.79 | 0.00 | 1.31 | 2.20 |
time (sec) |
N/A | 0.479 | 1.172 | 0.386 | 0.316 | 0.259 | 0.000 | 0.315 | 11.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 120 | 128 | 119 | 348 | 113 | 0 | 186 | 279 |
N.S. |
1 | 1.03 | 1.10 | 1.03 | 3.00 | 0.97 | 0.00 | 1.60 | 2.41 |
time (sec) |
N/A | 0.551 | 1.806 | 0.359 | 0.318 | 0.281 | 0.000 | 0.328 | 9.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 158 | 140 | 330 | 140 | 0 | 168 | 270 |
N.S. |
1 | 1.04 | 1.63 | 1.44 | 3.40 | 1.44 | 0.00 | 1.73 | 2.78 |
time (sec) |
N/A | 0.474 | 2.151 | 0.394 | 0.311 | 0.286 | 0.000 | 0.329 | 9.937 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 184 | 155 | 306 | 161 | 0 | 194 | 253 |
N.S. |
1 | 1.04 | 1.90 | 1.60 | 3.15 | 1.66 | 0.00 | 2.00 | 2.61 |
time (sec) |
N/A | 0.479 | 2.450 | 0.382 | 0.307 | 0.281 | 0.000 | 0.350 | 9.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 120 | 219 | 127 | 263 | 187 | 0 | 159 | 232 |
N.S. |
1 | 1.03 | 1.89 | 1.09 | 2.27 | 1.61 | 0.00 | 1.37 | 2.00 |
time (sec) |
N/A | 0.505 | 2.146 | 0.350 | 0.302 | 0.272 | 0.000 | 0.354 | 9.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 122 | 254 | 152 | 258 | 207 | 0 | 195 | 365 |
N.S. |
1 | 1.03 | 2.15 | 1.29 | 2.19 | 1.75 | 0.00 | 1.65 | 3.09 |
time (sec) |
N/A | 0.525 | 1.650 | 0.362 | 0.314 | 0.269 | 0.000 | 0.350 | 10.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 136 | 145 | 174 | 275 | 183 | 0 | 215 | 339 |
N.S. |
1 | 1.03 | 1.10 | 1.32 | 2.08 | 1.39 | 0.00 | 1.63 | 2.57 |
time (sec) |
N/A | 0.559 | 2.563 | 0.408 | 0.211 | 0.260 | 0.000 | 0.365 | 10.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 128 | 251 | 200 | 314 | 216 | 0 | 245 | 387 |
N.S. |
1 | 1.03 | 2.02 | 1.61 | 2.53 | 1.74 | 0.00 | 1.98 | 3.12 |
time (sec) |
N/A | 0.409 | 1.987 | 0.461 | 0.223 | 0.267 | 0.000 | 0.362 | 11.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 180 | 291 | 214 | 355 | 239 | 0 | 273 | 435 |
N.S. |
1 | 1.02 | 1.65 | 1.22 | 2.02 | 1.36 | 0.00 | 1.55 | 2.47 |
time (sec) |
N/A | 0.614 | 2.134 | 0.570 | 0.223 | 0.284 | 0.000 | 0.380 | 12.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 172 | 313 | 200 | 314 | 269 | 0 | 245 | 387 |
N.S. |
1 | 1.02 | 1.86 | 1.19 | 1.87 | 1.60 | 0.00 | 1.46 | 2.30 |
time (sec) |
N/A | 0.630 | 2.903 | 0.510 | 0.218 | 0.281 | 0.000 | 0.379 | 13.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 222 | 353 | 260 | 435 | 294 | 0 | 331 | 531 |
N.S. |
1 | 1.02 | 1.62 | 1.19 | 2.00 | 1.35 | 0.00 | 1.52 | 2.44 |
time (sec) |
N/A | 0.687 | 3.057 | 0.596 | 0.215 | 0.275 | 0.000 | 0.407 | 14.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 214 | 186 | 272 | 474 | 324 | 0 | 361 | 579 |
N.S. |
1 | 1.02 | 0.89 | 1.30 | 2.26 | 1.54 | 0.00 | 1.72 | 2.76 |
time (sec) |
N/A | 0.666 | 4.746 | 0.686 | 0.225 | 0.294 | 0.000 | 0.391 | 17.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 165 | 482 | 100 | 499 | 90 | 0 | 218 | 212 |
N.S. |
1 | 1.02 | 2.99 | 0.62 | 3.10 | 0.56 | 0.00 | 1.35 | 1.32 |
time (sec) |
N/A | 0.671 | 3.000 | 0.398 | 0.431 | 0.258 | 0.000 | 0.368 | 12.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 137 | 429 | 89 | 416 | 80 | 0 | 179 | 172 |
N.S. |
1 | 1.03 | 3.23 | 0.67 | 3.13 | 0.60 | 0.00 | 1.35 | 1.29 |
time (sec) |
N/A | 0.603 | 8.120 | 0.312 | 0.344 | 0.262 | 0.000 | 0.339 | 13.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 146 | 366 | 78 | 393 | 70 | 2535 | 179 | 173 |
N.S. |
1 | 1.11 | 2.79 | 0.60 | 3.00 | 0.53 | 19.35 | 1.37 | 1.32 |
time (sec) |
N/A | 0.632 | 1.726 | 0.287 | 0.302 | 0.266 | 130.264 | 0.333 | 13.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 103 | 80 | 65 | 269 | 84 | 0 | 129 | 222 |
N.S. |
1 | 1.04 | 0.81 | 0.66 | 2.72 | 0.85 | 0.00 | 1.30 | 2.24 |
time (sec) |
N/A | 0.465 | 0.968 | 0.346 | 0.307 | 0.274 | 0.000 | 0.325 | 11.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 126 | 95 | 285 | 104 | 0 | 147 | 231 |
N.S. |
1 | 1.04 | 1.37 | 1.03 | 3.10 | 1.13 | 0.00 | 1.60 | 2.51 |
time (sec) |
N/A | 0.453 | 1.541 | 0.395 | 0.329 | 0.271 | 0.000 | 0.328 | 10.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 144 | 137 | 267 | 130 | 0 | 172 | 228 |
N.S. |
1 | 1.04 | 1.47 | 1.40 | 2.72 | 1.33 | 0.00 | 1.76 | 2.33 |
time (sec) |
N/A | 0.476 | 1.380 | 0.419 | 0.321 | 0.279 | 0.000 | 0.351 | 9.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 132 | 127 | 242 | 150 | 0 | 157 | 219 |
N.S. |
1 | 1.04 | 1.43 | 1.38 | 2.63 | 1.63 | 0.00 | 1.71 | 2.38 |
time (sec) |
N/A | 0.486 | 2.686 | 0.363 | 0.307 | 0.268 | 0.000 | 0.371 | 9.520 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 165 | 124 | 218 | 164 | 0 | 166 | 315 |
N.S. |
1 | 1.04 | 1.70 | 1.28 | 2.25 | 1.69 | 0.00 | 1.71 | 3.25 |
time (sec) |
N/A | 0.533 | 2.502 | 0.378 | 0.308 | 0.265 | 0.000 | 0.373 | 10.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 104 | 189 | 148 | 235 | 169 | 0 | 186 | 291 |
N.S. |
1 | 1.04 | 1.89 | 1.48 | 2.35 | 1.69 | 0.00 | 1.86 | 2.91 |
time (sec) |
N/A | 0.560 | 2.180 | 0.388 | 0.226 | 0.278 | 0.000 | 0.399 | 10.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 128 | 242 | 174 | 274 | 196 | 0 | 216 | 339 |
N.S. |
1 | 1.03 | 1.95 | 1.40 | 2.21 | 1.58 | 0.00 | 1.74 | 2.73 |
time (sec) |
N/A | 0.582 | 2.229 | 0.414 | 0.217 | 0.284 | 0.000 | 0.390 | 10.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 144 | 251 | 192 | 315 | 226 | 0 | 244 | 387 |
N.S. |
1 | 1.03 | 1.79 | 1.37 | 2.25 | 1.61 | 0.00 | 1.74 | 2.76 |
time (sec) |
N/A | 0.400 | 1.929 | 0.450 | 0.219 | 0.265 | 0.000 | 0.403 | 11.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 170 | 317 | 226 | 354 | 249 | 0 | 274 | 435 |
N.S. |
1 | 1.02 | 1.91 | 1.36 | 2.13 | 1.50 | 0.00 | 1.65 | 2.62 |
time (sec) |
N/A | 0.630 | 6.009 | 0.530 | 0.250 | 0.266 | 0.000 | 0.421 | 12.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 86 | 82 | 86 | 75 | 130 | 0 | 105 | 257 |
N.S. |
1 | 1.05 | 1.00 | 1.05 | 0.91 | 1.59 | 0.00 | 1.28 | 3.13 |
time (sec) |
N/A | 0.407 | 0.493 | 0.330 | 0.310 | 0.269 | 0.000 | 0.293 | 16.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 74 | 63 | 63 | 62 | 104 | 0 | 90 | 160 |
N.S. |
1 | 1.14 | 0.97 | 0.97 | 0.95 | 1.60 | 0.00 | 1.38 | 2.46 |
time (sec) |
N/A | 0.383 | 0.053 | 0.245 | 0.327 | 0.270 | 0.000 | 0.291 | 12.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 48 | 47 | 52 | 39 | 80 | 0 | 81 | 99 |
N.S. |
1 | 1.23 | 1.21 | 1.33 | 1.00 | 2.05 | 0.00 | 2.08 | 2.54 |
time (sec) |
N/A | 0.410 | 0.012 | 0.137 | 0.342 | 0.270 | 0.000 | 0.283 | 9.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 28 | 36 | 26 | 32 | 60 | 0 | 29 | 24 |
N.S. |
1 | 1.04 | 1.33 | 0.96 | 1.19 | 2.22 | 0.00 | 1.07 | 0.89 |
time (sec) |
N/A | 0.288 | 0.009 | 0.082 | 0.317 | 0.249 | 0.000 | 0.284 | 9.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 33 | 56 | 41 | 48 | 108 | 0 | 34 | 35 |
N.S. |
1 | 0.92 | 1.56 | 1.14 | 1.33 | 3.00 | 0.00 | 0.94 | 0.97 |
time (sec) |
N/A | 0.324 | 0.142 | 0.214 | 0.226 | 0.274 | 0.000 | 0.296 | 10.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 42 | 68 | 61 | 59 | 165 | 0 | 87 | 77 |
N.S. |
1 | 0.88 | 1.42 | 1.27 | 1.23 | 3.44 | 0.00 | 1.81 | 1.60 |
time (sec) |
N/A | 0.379 | 0.176 | 0.263 | 0.218 | 0.252 | 0.000 | 0.302 | 9.993 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 73 | 172 | 83 | 84 | 261 | 0 | 102 | 113 |
N.S. |
1 | 0.97 | 2.29 | 1.11 | 1.12 | 3.48 | 0.00 | 1.36 | 1.51 |
time (sec) |
N/A | 0.407 | 1.321 | 0.255 | 0.224 | 0.270 | 0.000 | 0.308 | 9.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 85 | 205 | 102 | 98 | 308 | 0 | 130 | 144 |
N.S. |
1 | 0.93 | 2.25 | 1.12 | 1.08 | 3.38 | 0.00 | 1.43 | 1.58 |
time (sec) |
N/A | 0.409 | 4.136 | 0.263 | 0.236 | 0.272 | 0.000 | 0.327 | 9.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 130 | 98 | 98 | 152 | 0 | 119 | 288 |
N.S. |
1 | 1.00 | 1.46 | 1.10 | 1.10 | 1.71 | 0.00 | 1.34 | 3.24 |
time (sec) |
N/A | 0.367 | 0.789 | 0.192 | 0.311 | 0.264 | 0.000 | 0.297 | 15.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 63 | 120 | 65 | 84 | 125 | 0 | 102 | 183 |
N.S. |
1 | 0.89 | 1.69 | 0.92 | 1.18 | 1.76 | 0.00 | 1.44 | 2.58 |
time (sec) |
N/A | 0.274 | 0.143 | 0.167 | 0.313 | 0.251 | 0.000 | 0.306 | 13.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 42 | 119 | 54 | 57 | 101 | 0 | 89 | 117 |
N.S. |
1 | 0.98 | 2.77 | 1.26 | 1.33 | 2.35 | 0.00 | 2.07 | 2.72 |
time (sec) |
N/A | 0.239 | 0.491 | 0.150 | 0.296 | 0.285 | 0.000 | 0.320 | 9.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 69 | 45 | 65 | 126 | 0 | 38 | 39 |
N.S. |
1 | 1.00 | 1.57 | 1.02 | 1.48 | 2.86 | 0.00 | 0.86 | 0.89 |
time (sec) |
N/A | 0.304 | 0.345 | 0.193 | 0.213 | 0.279 | 0.000 | 0.289 | 9.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 96 | 68 | 72 | 192 | 0 | 98 | 86 |
N.S. |
1 | 1.00 | 1.66 | 1.17 | 1.24 | 3.31 | 0.00 | 1.69 | 1.48 |
time (sec) |
N/A | 0.389 | 0.538 | 0.215 | 0.212 | 0.290 | 0.000 | 0.291 | 10.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 124 | 93 | 124 | 300 | 0 | 116 | 124 |
N.S. |
1 | 1.00 | 1.44 | 1.08 | 1.44 | 3.49 | 0.00 | 1.35 | 1.44 |
time (sec) |
N/A | 0.386 | 1.006 | 0.258 | 0.217 | 0.290 | 0.000 | 0.312 | 9.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 103 | 125 | 115 | 162 | 178 | 0 | 167 | 363 |
N.S. |
1 | 0.93 | 1.13 | 1.04 | 1.46 | 1.60 | 0.00 | 1.50 | 3.27 |
time (sec) |
N/A | 0.355 | 5.797 | 0.325 | 0.323 | 0.276 | 0.000 | 0.411 | 16.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 83 | 115 | 98 | 117 | 154 | 0 | 119 | 288 |
N.S. |
1 | 0.93 | 1.29 | 1.10 | 1.31 | 1.73 | 0.00 | 1.34 | 3.24 |
time (sec) |
N/A | 0.304 | 0.188 | 0.232 | 0.334 | 0.310 | 0.000 | 0.419 | 16.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 71 | 145 | 81 | 97 | 125 | 0 | 102 | 183 |
N.S. |
1 | 1.06 | 2.16 | 1.21 | 1.45 | 1.87 | 0.00 | 1.52 | 2.73 |
time (sec) |
N/A | 0.299 | 5.613 | 0.177 | 0.321 | 0.267 | 0.000 | 0.380 | 12.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 46 | 74 | 69 | 84 | 151 | 0 | 49 | 112 |
N.S. |
1 | 0.96 | 1.54 | 1.44 | 1.75 | 3.15 | 0.00 | 1.02 | 2.33 |
time (sec) |
N/A | 0.288 | 0.349 | 0.208 | 0.331 | 0.270 | 0.000 | 0.381 | 9.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 54 | 96 | 68 | 88 | 194 | 0 | 98 | 86 |
N.S. |
1 | 0.96 | 1.71 | 1.21 | 1.57 | 3.46 | 0.00 | 1.75 | 1.54 |
time (sec) |
N/A | 0.312 | 0.702 | 0.274 | 0.232 | 0.280 | 0.000 | 0.444 | 10.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 76 | 124 | 93 | 135 | 300 | 0 | 116 | 125 |
N.S. |
1 | 0.95 | 1.55 | 1.16 | 1.69 | 3.75 | 0.00 | 1.45 | 1.56 |
time (sec) |
N/A | 0.337 | 1.039 | 0.293 | 0.213 | 0.293 | 0.000 | 0.757 | 9.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 92 | 211 | 119 | 160 | 354 | 0 | 148 | 160 |
N.S. |
1 | 0.94 | 2.15 | 1.21 | 1.63 | 3.61 | 0.00 | 1.51 | 1.63 |
time (sec) |
N/A | 0.360 | 6.480 | 0.322 | 0.214 | 0.273 | 0.000 | 0.386 | 10.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 67 | 148 | 98 | 236 | 80 | 0 | 125 | 129 |
N.S. |
1 | 0.81 | 1.78 | 1.18 | 2.84 | 0.96 | 0.00 | 1.51 | 1.55 |
time (sec) |
N/A | 0.457 | 0.861 | 0.331 | 0.293 | 0.258 | 0.000 | 0.338 | 14.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 62 | 111 | 69 | 154 | 70 | 0 | 77 | 79 |
N.S. |
1 | 0.89 | 1.59 | 0.99 | 2.20 | 1.00 | 0.00 | 1.10 | 1.13 |
time (sec) |
N/A | 0.439 | 0.612 | 0.225 | 0.328 | 0.268 | 0.000 | 0.331 | 12.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 48 | 106 | 48 | 90 | 47 | 0 | 68 | 47 |
N.S. |
1 | 0.96 | 2.12 | 0.96 | 1.80 | 0.94 | 0.00 | 1.36 | 0.94 |
time (sec) |
N/A | 0.356 | 0.068 | 0.159 | 0.205 | 0.245 | 0.000 | 0.299 | 9.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 104 | 61 | 110 | 47 | 0 | 57 | 60 |
N.S. |
1 | 1.00 | 2.81 | 1.65 | 2.97 | 1.27 | 0.00 | 1.54 | 1.62 |
time (sec) |
N/A | 0.354 | 0.435 | 0.158 | 0.209 | 0.253 | 0.000 | 0.293 | 10.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 64 | 149 | 79 | 136 | 115 | 0 | 83 | 92 |
N.S. |
1 | 0.81 | 1.89 | 1.00 | 1.72 | 1.46 | 0.00 | 1.05 | 1.16 |
time (sec) |
N/A | 0.412 | 0.583 | 0.316 | 0.193 | 0.277 | 0.000 | 0.290 | 12.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 73 | 245 | 104 | 215 | 162 | 0 | 133 | 150 |
N.S. |
1 | 0.78 | 2.63 | 1.12 | 2.31 | 1.74 | 0.00 | 1.43 | 1.61 |
time (sec) |
N/A | 0.451 | 0.859 | 0.392 | 0.197 | 0.269 | 0.000 | 0.305 | 10.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 153 | 191 | 154 | 421 | 132 | 0 | 160 | 172 |
N.S. |
1 | 1.03 | 1.28 | 1.03 | 2.83 | 0.89 | 0.00 | 1.07 | 1.15 |
time (sec) |
N/A | 0.514 | 1.154 | 0.759 | 0.295 | 0.301 | 0.000 | 0.334 | 19.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 124 | 148 | 129 | 335 | 122 | 0 | 151 | 156 |
N.S. |
1 | 1.03 | 1.23 | 1.08 | 2.79 | 1.02 | 0.00 | 1.26 | 1.30 |
time (sec) |
N/A | 0.512 | 1.077 | 0.546 | 0.302 | 0.266 | 0.000 | 0.349 | 17.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 110 | 143 | 104 | 249 | 112 | 0 | 103 | 105 |
N.S. |
1 | 1.04 | 1.35 | 0.98 | 2.35 | 1.06 | 0.00 | 0.97 | 0.99 |
time (sec) |
N/A | 0.497 | 1.021 | 0.395 | 0.301 | 0.262 | 0.000 | 0.336 | 15.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 70 | 84 | 61 | 164 | 76 | 0 | 94 | 111 |
N.S. |
1 | 1.06 | 1.27 | 0.92 | 2.48 | 1.15 | 0.00 | 1.42 | 1.68 |
time (sec) |
N/A | 0.488 | 0.641 | 0.278 | 0.215 | 0.264 | 0.000 | 0.327 | 11.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 77 | 86 | 74 | 184 | 77 | 0 | 94 | 132 |
N.S. |
1 | 1.05 | 1.18 | 1.01 | 2.52 | 1.05 | 0.00 | 1.29 | 1.81 |
time (sec) |
N/A | 0.343 | 0.503 | 0.294 | 0.222 | 0.257 | 0.000 | 0.331 | 10.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 75 | 82 | 74 | 204 | 80 | 0 | 94 | 159 |
N.S. |
1 | 1.06 | 1.15 | 1.04 | 2.87 | 1.13 | 0.00 | 1.32 | 2.24 |
time (sec) |
N/A | 0.416 | 0.490 | 0.283 | 0.232 | 0.286 | 0.000 | 0.405 | 11.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 119 | 196 | 109 | 250 | 168 | 0 | 109 | 117 |
N.S. |
1 | 1.03 | 1.70 | 0.95 | 2.17 | 1.46 | 0.00 | 0.95 | 1.02 |
time (sec) |
N/A | 0.471 | 1.015 | 0.517 | 0.264 | 0.286 | 0.000 | 0.409 | 13.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 134 | 289 | 134 | 309 | 218 | 0 | 161 | 216 |
N.S. |
1 | 1.03 | 2.22 | 1.03 | 2.38 | 1.68 | 0.00 | 1.24 | 1.66 |
time (sec) |
N/A | 0.534 | 1.012 | 0.553 | 0.227 | 0.282 | 0.000 | 0.400 | 14.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 162 | 328 | 162 | 354 | 260 | 0 | 187 | 191 |
N.S. |
1 | 1.03 | 2.08 | 1.03 | 2.24 | 1.65 | 0.00 | 1.18 | 1.21 |
time (sec) |
N/A | 0.579 | 1.280 | 0.704 | 0.219 | 0.272 | 0.000 | 0.428 | 12.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 155 | 224 | 159 | 421 | 159 | 0 | 177 | 182 |
N.S. |
1 | 1.03 | 1.48 | 1.05 | 2.79 | 1.05 | 0.00 | 1.17 | 1.21 |
time (sec) |
N/A | 0.581 | 1.249 | 0.865 | 0.298 | 0.294 | 0.000 | 0.473 | 20.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 146 | 214 | 127 | 335 | 150 | 0 | 129 | 131 |
N.S. |
1 | 1.03 | 1.51 | 0.89 | 2.36 | 1.06 | 0.00 | 0.91 | 0.92 |
time (sec) |
N/A | 0.580 | 1.146 | 0.671 | 0.300 | 0.288 | 0.000 | 0.670 | 20.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 104 | 74 | 230 | 104 | 0 | 120 | 135 |
N.S. |
1 | 1.04 | 1.02 | 0.73 | 2.25 | 1.02 | 0.00 | 1.18 | 1.32 |
time (sec) |
N/A | 0.570 | 0.953 | 0.456 | 0.214 | 0.251 | 0.000 | 0.348 | 11.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 92 | 104 | 87 | 250 | 102 | 0 | 120 | 158 |
N.S. |
1 | 1.05 | 1.18 | 0.99 | 2.84 | 1.16 | 0.00 | 1.36 | 1.80 |
time (sec) |
N/A | 0.540 | 0.726 | 0.432 | 0.210 | 0.254 | 0.000 | 0.356 | 12.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 107 | 104 | 97 | 270 | 104 | 0 | 120 | 183 |
N.S. |
1 | 1.04 | 1.01 | 0.94 | 2.62 | 1.01 | 0.00 | 1.17 | 1.78 |
time (sec) |
N/A | 0.418 | 0.600 | 0.431 | 0.217 | 0.261 | 0.000 | 0.337 | 12.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 108 | 104 | 86 | 290 | 106 | 0 | 120 | 206 |
N.S. |
1 | 1.09 | 1.05 | 0.87 | 2.93 | 1.07 | 0.00 | 1.21 | 2.08 |
time (sec) |
N/A | 0.545 | 0.590 | 0.466 | 0.216 | 0.277 | 0.000 | 0.331 | 11.314 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 155 | 341 | 139 | 336 | 218 | 0 | 135 | 143 |
N.S. |
1 | 1.03 | 2.26 | 0.92 | 2.23 | 1.44 | 0.00 | 0.89 | 0.95 |
time (sec) |
N/A | 0.545 | 0.908 | 0.771 | 0.218 | 0.264 | 0.000 | 0.308 | 12.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 166 | 351 | 164 | 395 | 265 | 0 | 187 | 274 |
N.S. |
1 | 1.02 | 2.17 | 1.01 | 2.44 | 1.64 | 0.00 | 1.15 | 1.69 |
time (sec) |
N/A | 0.580 | 1.167 | 0.949 | 0.218 | 0.266 | 0.000 | 0.329 | 11.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 110 | 84 | 121 | 96 | 108 | 0 | 182 | 306 |
N.S. |
1 | 0.94 | 0.72 | 1.03 | 0.82 | 0.92 | 0.00 | 1.56 | 2.62 |
time (sec) |
N/A | 0.429 | 0.544 | 0.423 | 0.295 | 0.277 | 0.000 | 0.324 | 16.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 96 | 76 | 112 | 87 | 98 | 0 | 134 | 243 |
N.S. |
1 | 0.95 | 0.75 | 1.11 | 0.86 | 0.97 | 0.00 | 1.33 | 2.41 |
time (sec) |
N/A | 0.402 | 0.162 | 0.300 | 0.298 | 0.273 | 0.000 | 0.302 | 15.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 81 | 98 | 65 | 88 | 0 | 124 | 185 |
N.S. |
1 | 1.00 | 1.12 | 1.36 | 0.90 | 1.22 | 0.00 | 1.72 | 2.57 |
time (sec) |
N/A | 0.263 | 0.016 | 0.250 | 0.310 | 0.311 | 0.000 | 0.319 | 14.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 57 | 69 | 64 | 55 | 75 | 0 | 74 | 117 |
N.S. |
1 | 0.95 | 1.15 | 1.07 | 0.92 | 1.25 | 0.00 | 1.23 | 1.95 |
time (sec) |
N/A | 0.402 | 0.125 | 0.182 | 0.311 | 0.286 | 0.000 | 0.306 | 11.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 43 | 45 | 46 | 39 | 49 | 0 | 67 | 74 |
N.S. |
1 | 0.96 | 1.00 | 1.02 | 0.87 | 1.09 | 0.00 | 1.49 | 1.64 |
time (sec) |
N/A | 0.357 | 0.017 | 0.150 | 0.219 | 0.268 | 0.000 | 0.318 | 10.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 36 | 26 | 50 | 0 | 53 | 50 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 0.79 | 1.52 | 0.00 | 1.61 | 1.52 |
time (sec) |
N/A | 0.321 | 0.012 | 0.143 | 0.219 | 0.255 | 0.000 | 0.356 | 10.607 |