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) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 74 | 120 | 98 | 73 | 75 | 0 | 266 | 70 |
N.S. |
1 | 0.89 | 1.45 | 1.18 | 0.88 | 0.90 | 0.00 | 3.20 | 0.84 |
time (sec) |
N/A | 0.243 | 0.404 | 4.138 | 0.195 | 0.251 | 0.000 | 0.325 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 59 | 88 | 81 | 58 | 60 | 0 | 197 | 55 |
N.S. |
1 | 0.89 | 1.33 | 1.23 | 0.88 | 0.91 | 0.00 | 2.98 | 0.83 |
time (sec) |
N/A | 0.241 | 0.034 | 0.256 | 0.188 | 0.268 | 0.000 | 0.323 | 17.328 |
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 | 44 | 40 | 53 | 62 | 40 | 42 | 0 | 57 | 39 |
N.S. |
1 | 0.91 | 1.20 | 1.41 | 0.91 | 0.95 | 0.00 | 1.30 | 0.89 |
time (sec) |
N/A | 0.224 | 0.028 | 0.175 | 0.195 | 0.257 | 0.000 | 0.291 | 0.071 |
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 | 24 | 23 | 35 | 25 | 25 | 27 | 0 | 26 | 25 |
N.S. |
1 | 0.96 | 1.46 | 1.04 | 1.04 | 1.12 | 0.00 | 1.08 | 1.04 |
time (sec) |
N/A | 0.202 | 0.042 | 0.079 | 0.193 | 0.239 | 0.000 | 0.274 | 0.052 |
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 | 27 | 26 | 84 | 40 | 44 | 60 | 0 | 60 | 29 |
N.S. |
1 | 0.96 | 3.11 | 1.48 | 1.63 | 2.22 | 0.00 | 2.22 | 1.07 |
time (sec) |
N/A | 0.202 | 0.073 | 0.119 | 0.194 | 0.248 | 0.000 | 0.276 | 0.101 |
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 | 53 | 60 | 236 | 90 | 76 | 124 | 0 | 193 | 62 |
N.S. |
1 | 1.13 | 4.45 | 1.70 | 1.43 | 2.34 | 0.00 | 3.64 | 1.17 |
time (sec) |
N/A | 0.235 | 0.874 | 0.216 | 0.190 | 0.251 | 0.000 | 0.298 | 17.323 |
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 | 81 | 97 | 198 | 120 | 101 | 178 | 0 | 262 | 86 |
N.S. |
1 | 1.20 | 2.44 | 1.48 | 1.25 | 2.20 | 0.00 | 3.23 | 1.06 |
time (sec) |
N/A | 0.264 | 6.264 | 0.300 | 0.178 | 0.257 | 0.000 | 0.310 | 17.538 |
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 | 98 | 124 | 78 | 89 | 111 | 86 | 0 | 104 | 105 |
N.S. |
1 | 1.27 | 0.80 | 0.91 | 1.13 | 0.88 | 0.00 | 1.06 | 1.07 |
time (sec) |
N/A | 0.337 | 0.424 | 0.445 | 0.281 | 0.250 | 0.000 | 0.306 | 18.465 |
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 | 70 | 90 | 54 | 71 | 82 | 68 | 0 | 82 | 79 |
N.S. |
1 | 1.29 | 0.77 | 1.01 | 1.17 | 0.97 | 0.00 | 1.17 | 1.13 |
time (sec) |
N/A | 0.254 | 0.371 | 0.273 | 0.269 | 0.253 | 0.000 | 0.294 | 17.106 |
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 | 42 | 55 | 54 | 46 | 47 | 50 | 0 | 47 | 35 |
N.S. |
1 | 1.31 | 1.29 | 1.10 | 1.12 | 1.19 | 0.00 | 1.12 | 0.83 |
time (sec) |
N/A | 0.218 | 0.164 | 0.141 | 0.278 | 0.257 | 0.000 | 0.282 | 17.630 |
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 | 15 | 15 | 15 | 16 | 15 | 31 | 0 | 15 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.00 | 2.07 | 0.00 | 1.00 | 1.13 |
time (sec) |
N/A | 0.142 | 0.010 | 0.147 | 0.185 | 0.242 | 0.000 | 0.260 | 17.710 |
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 | 26 | 24 | 36 | 43 | 26 | 39 | 0 | 26 | 28 |
N.S. |
1 | 0.92 | 1.38 | 1.65 | 1.00 | 1.50 | 0.00 | 1.00 | 1.08 |
time (sec) |
N/A | 0.214 | 0.069 | 0.227 | 0.179 | 0.234 | 0.000 | 0.280 | 19.045 |
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 | 46 | 41 | 84 | 73 | 43 | 66 | 0 | 50 | 46 |
N.S. |
1 | 0.89 | 1.83 | 1.59 | 0.93 | 1.43 | 0.00 | 1.09 | 1.00 |
time (sec) |
N/A | 0.226 | 0.054 | 0.487 | 0.179 | 0.254 | 0.000 | 0.288 | 19.230 |
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 | 68 | 60 | 128 | 89 | 64 | 91 | 0 | 76 | 60 |
N.S. |
1 | 0.88 | 1.88 | 1.31 | 0.94 | 1.34 | 0.00 | 1.12 | 0.88 |
time (sec) |
N/A | 0.239 | 0.726 | 0.664 | 0.179 | 0.251 | 0.000 | 0.315 | 18.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 86 | 118 | 155 | 89 | 90 | 0 | 414 | 87 |
N.S. |
1 | 0.89 | 1.22 | 1.60 | 0.92 | 0.93 | 0.00 | 4.27 | 0.90 |
time (sec) |
N/A | 0.273 | 2.333 | 0.460 | 0.177 | 0.258 | 0.000 | 0.412 | 18.291 |
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 | 72 | 65 | 83 | 69 | 67 | 67 | 0 | 91 | 66 |
N.S. |
1 | 0.90 | 1.15 | 0.96 | 0.93 | 0.93 | 0.00 | 1.26 | 0.92 |
time (sec) |
N/A | 0.259 | 1.882 | 0.265 | 0.179 | 0.257 | 0.000 | 0.368 | 18.215 |
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 | 46 | 41 | 75 | 42 | 42 | 44 | 0 | 44 | 45 |
N.S. |
1 | 0.89 | 1.63 | 0.91 | 0.91 | 0.96 | 0.00 | 0.96 | 0.98 |
time (sec) |
N/A | 0.221 | 0.103 | 0.175 | 0.175 | 0.253 | 0.000 | 0.311 | 0.093 |
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 | 52 | 48 | 108 | 94 | 82 | 101 | 0 | 172 | 53 |
N.S. |
1 | 0.92 | 2.08 | 1.81 | 1.58 | 1.94 | 0.00 | 3.31 | 1.02 |
time (sec) |
N/A | 0.246 | 0.911 | 0.218 | 0.181 | 0.260 | 0.000 | 0.318 | 0.159 |
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 | 104 | 117 | 1021 | 163 | 126 | 193 | 0 | 341 | 96 |
N.S. |
1 | 1.12 | 9.82 | 1.57 | 1.21 | 1.86 | 0.00 | 3.28 | 0.92 |
time (sec) |
N/A | 0.307 | 8.090 | 0.379 | 0.176 | 0.262 | 0.000 | 0.352 | 18.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 162 | 218 | 211 | 165 | 286 | 0 | 493 | 135 |
N.S. |
1 | 1.15 | 1.55 | 1.50 | 1.17 | 2.03 | 0.00 | 3.50 | 0.96 |
time (sec) |
N/A | 0.341 | 9.790 | 0.558 | 0.177 | 0.257 | 0.000 | 0.376 | 18.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 168 | 499 | 178 | 164 | 131 | 0 | 183 | 163 |
N.S. |
1 | 1.14 | 3.37 | 1.20 | 1.11 | 0.89 | 0.00 | 1.24 | 1.10 |
time (sec) |
N/A | 0.458 | 3.433 | 0.608 | 0.260 | 0.263 | 0.000 | 0.406 | 19.110 |
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 | 114 | 129 | 153 | 123 | 120 | 107 | 0 | 123 | 116 |
N.S. |
1 | 1.13 | 1.34 | 1.08 | 1.05 | 0.94 | 0.00 | 1.08 | 1.02 |
time (sec) |
N/A | 0.331 | 2.230 | 0.407 | 0.270 | 0.250 | 0.000 | 0.372 | 18.780 |
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 | 73 | 76 | 126 | 71 | 67 | 81 | 0 | 67 | 94 |
N.S. |
1 | 1.04 | 1.73 | 0.97 | 0.92 | 1.11 | 0.00 | 0.92 | 1.29 |
time (sec) |
N/A | 0.261 | 2.189 | 0.253 | 0.257 | 0.261 | 0.000 | 0.334 | 19.134 |
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 | 40 | 44 | 41 | 46 | 44 | 58 | 0 | 49 | 42 |
N.S. |
1 | 1.10 | 1.02 | 1.15 | 1.10 | 1.45 | 0.00 | 1.22 | 1.05 |
time (sec) |
N/A | 0.211 | 0.373 | 0.126 | 0.170 | 0.240 | 0.000 | 0.281 | 18.820 |
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 | 45 | 109 | 96 | 54 | 71 | 0 | 60 | 56 |
N.S. |
1 | 0.90 | 2.18 | 1.92 | 1.08 | 1.42 | 0.00 | 1.20 | 1.12 |
time (sec) |
N/A | 0.243 | 2.618 | 0.214 | 0.176 | 0.252 | 0.000 | 0.327 | 18.617 |
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 | 76 | 68 | 151 | 130 | 80 | 101 | 0 | 98 | 85 |
N.S. |
1 | 0.89 | 1.99 | 1.71 | 1.05 | 1.33 | 0.00 | 1.29 | 1.12 |
time (sec) |
N/A | 0.262 | 5.183 | 0.293 | 0.183 | 0.238 | 0.000 | 0.345 | 18.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 92 | 353 | 154 | 107 | 139 | 0 | 141 | 108 |
N.S. |
1 | 0.89 | 3.43 | 1.50 | 1.04 | 1.35 | 0.00 | 1.37 | 1.05 |
time (sec) |
N/A | 0.289 | 2.667 | 0.453 | 0.198 | 0.249 | 0.000 | 0.388 | 18.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 91 | 425 | 115 | 102 | 229 | 0 | 349 | 123 |
N.S. |
1 | 0.93 | 4.34 | 1.17 | 1.04 | 2.34 | 0.00 | 3.56 | 1.26 |
time (sec) |
N/A | 0.288 | 4.852 | 1.006 | 0.261 | 0.284 | 0.000 | 0.309 | 18.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 69 | 376 | 67 | 63 | 154 | 0 | 85 | 76 |
N.S. |
1 | 0.97 | 5.30 | 0.94 | 0.89 | 2.17 | 0.00 | 1.20 | 1.07 |
time (sec) |
N/A | 0.244 | 2.207 | 0.486 | 0.276 | 0.268 | 0.000 | 0.292 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 46 | 329 | 44 | 40 | 118 | 0 | 42 | 39 |
N.S. |
1 | 0.98 | 7.00 | 0.94 | 0.85 | 2.51 | 0.00 | 0.89 | 0.83 |
time (sec) |
N/A | 0.215 | 1.712 | 0.180 | 0.260 | 0.269 | 0.000 | 0.288 | 17.885 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 54 | 239 | 71 | 64 | 156 | 0 | 85 | 123 |
N.S. |
1 | 0.98 | 4.35 | 1.29 | 1.16 | 2.84 | 0.00 | 1.55 | 2.24 |
time (sec) |
N/A | 0.236 | 1.239 | 0.144 | 0.264 | 0.281 | 0.000 | 0.292 | 0.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 99 | 371 | 115 | 128 | 327 | 0 | 209 | 392 |
N.S. |
1 | 1.15 | 4.31 | 1.34 | 1.49 | 3.80 | 0.00 | 2.43 | 4.56 |
time (sec) |
N/A | 0.273 | 1.915 | 0.244 | 0.261 | 0.299 | 0.000 | 0.318 | 18.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 155 | 549 | 181 | 231 | 693 | 0 | 389 | 870 |
N.S. |
1 | 1.20 | 4.26 | 1.40 | 1.79 | 5.37 | 0.00 | 3.02 | 6.74 |
time (sec) |
N/A | 0.325 | 5.212 | 0.720 | 0.261 | 0.325 | 0.000 | 0.332 | 22.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 199 | 357 | 170 | 209 | 428 | 0 | 237 | 1448 |
N.S. |
1 | 1.20 | 2.15 | 1.02 | 1.26 | 2.58 | 0.00 | 1.43 | 8.72 |
time (sec) |
N/A | 0.422 | 3.575 | 2.537 | 0.261 | 0.298 | 0.000 | 0.306 | 19.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 141 | 303 | 119 | 137 | 332 | 0 | 152 | 494 |
N.S. |
1 | 1.21 | 2.59 | 1.02 | 1.17 | 2.84 | 0.00 | 1.30 | 4.22 |
time (sec) |
N/A | 0.328 | 1.385 | 1.262 | 0.262 | 0.284 | 0.000 | 0.302 | 18.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 91 | 245 | 78 | 77 | 257 | 0 | 92 | 111 |
N.S. |
1 | 1.20 | 3.22 | 1.03 | 1.01 | 3.38 | 0.00 | 1.21 | 1.46 |
time (sec) |
N/A | 0.272 | 0.607 | 0.574 | 0.261 | 0.285 | 0.000 | 0.298 | 18.391 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 182 | 46 | 44 | 231 | 0 | 65 | 460 |
N.S. |
1 | 1.00 | 4.04 | 1.02 | 0.98 | 5.13 | 0.00 | 1.44 | 10.22 |
time (sec) |
N/A | 0.252 | 1.413 | 0.167 | 0.262 | 0.282 | 0.000 | 0.276 | 18.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 52 | 189 | 52 | 50 | 271 | 0 | 71 | 46 |
N.S. |
1 | 0.96 | 3.50 | 0.96 | 0.93 | 5.02 | 0.00 | 1.31 | 0.85 |
time (sec) |
N/A | 0.232 | 0.886 | 0.293 | 0.263 | 0.295 | 0.000 | 0.295 | 18.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 77 | 226 | 69 | 82 | 397 | 0 | 103 | 80 |
N.S. |
1 | 1.01 | 2.97 | 0.91 | 1.08 | 5.22 | 0.00 | 1.36 | 1.05 |
time (sec) |
N/A | 0.255 | 1.863 | 0.507 | 0.265 | 0.295 | 0.000 | 0.315 | 18.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 97 | 318 | 93 | 137 | 587 | 0 | 173 | 112 |
N.S. |
1 | 0.92 | 3.03 | 0.89 | 1.30 | 5.59 | 0.00 | 1.65 | 1.07 |
time (sec) |
N/A | 0.321 | 1.777 | 0.785 | 0.263 | 0.294 | 0.000 | 0.339 | 19.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 136 | 454 | 159 | 148 | 405 | 0 | 509 | 195 |
N.S. |
1 | 0.84 | 2.82 | 0.99 | 0.92 | 2.52 | 0.00 | 3.16 | 1.21 |
time (sec) |
N/A | 0.326 | 5.661 | 4.609 | 0.261 | 0.303 | 0.000 | 0.364 | 0.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 107 | 403 | 102 | 104 | 297 | 0 | 136 | 130 |
N.S. |
1 | 0.94 | 3.54 | 0.89 | 0.91 | 2.61 | 0.00 | 1.19 | 1.14 |
time (sec) |
N/A | 0.305 | 2.914 | 2.459 | 0.263 | 0.284 | 0.000 | 0.337 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 83 | 393 | 69 | 70 | 201 | 0 | 72 | 72 |
N.S. |
1 | 0.99 | 4.68 | 0.82 | 0.83 | 2.39 | 0.00 | 0.86 | 0.86 |
time (sec) |
N/A | 0.231 | 2.584 | 1.030 | 0.259 | 0.285 | 0.000 | 0.309 | 18.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 106 | 384 | 103 | 138 | 390 | 0 | 272 | 2188 |
N.S. |
1 | 1.07 | 3.88 | 1.04 | 1.39 | 3.94 | 0.00 | 2.75 | 22.10 |
time (sec) |
N/A | 0.274 | 1.633 | 0.578 | 0.262 | 0.321 | 0.000 | 0.331 | 20.176 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 157 | 468 | 148 | 231 | 698 | 0 | 550 | 1845 |
N.S. |
1 | 1.07 | 3.18 | 1.01 | 1.57 | 4.75 | 0.00 | 3.74 | 12.55 |
time (sec) |
N/A | 0.334 | 2.259 | 0.805 | 0.258 | 0.327 | 0.000 | 0.371 | 18.841 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 221 | 450 | 213 | 369 | 1202 | 0 | 669 | 4338 |
N.S. |
1 | 1.12 | 2.28 | 1.08 | 1.87 | 6.10 | 0.00 | 3.40 | 22.02 |
time (sec) |
N/A | 0.398 | 2.637 | 1.221 | 0.273 | 0.365 | 0.000 | 0.412 | 23.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 298 | 2468 | 204 | 302 | 674 | 0 | 294 | 1461 |
N.S. |
1 | 1.12 | 9.24 | 0.76 | 1.13 | 2.52 | 0.00 | 1.10 | 5.47 |
time (sec) |
N/A | 0.530 | 19.912 | 5.733 | 0.267 | 0.326 | 0.000 | 0.362 | 20.400 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 213 | 1105 | 147 | 205 | 522 | 0 | 193 | 435 |
N.S. |
1 | 1.12 | 5.79 | 0.77 | 1.07 | 2.73 | 0.00 | 1.01 | 2.28 |
time (sec) |
N/A | 0.400 | 11.557 | 3.168 | 0.260 | 0.306 | 0.000 | 0.343 | 19.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 145 | 699 | 109 | 126 | 441 | 0 | 149 | 816 |
N.S. |
1 | 1.12 | 5.38 | 0.84 | 0.97 | 3.39 | 0.00 | 1.15 | 6.28 |
time (sec) |
N/A | 0.317 | 8.734 | 1.685 | 0.265 | 0.300 | 0.000 | 0.329 | 18.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 111 | 240 | 90 | 106 | 435 | 0 | 114 | 2056 |
N.S. |
1 | 1.21 | 2.61 | 0.98 | 1.15 | 4.73 | 0.00 | 1.24 | 22.35 |
time (sec) |
N/A | 0.249 | 2.679 | 0.409 | 0.260 | 0.312 | 0.000 | 0.275 | 20.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 92 | 242 | 78 | 117 | 407 | 0 | 127 | 91 |
N.S. |
1 | 1.01 | 2.66 | 0.86 | 1.29 | 4.47 | 0.00 | 1.40 | 1.00 |
time (sec) |
N/A | 0.256 | 2.543 | 0.576 | 0.262 | 0.309 | 0.000 | 0.352 | 18.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 303 | 106 | 193 | 663 | 0 | 185 | 141 |
N.S. |
1 | 1.02 | 2.46 | 0.86 | 1.57 | 5.39 | 0.00 | 1.50 | 1.15 |
time (sec) |
N/A | 0.374 | 5.803 | 0.907 | 0.267 | 0.307 | 0.000 | 0.387 | 19.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 195 | 777 | 124 | 268 | 987 | 0 | 254 | 198 |
N.S. |
1 | 1.04 | 4.13 | 0.66 | 1.43 | 5.25 | 0.00 | 1.35 | 1.05 |
time (sec) |
N/A | 0.461 | 3.241 | 1.326 | 0.262 | 0.322 | 0.000 | 0.429 | 20.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 1641 | 190 | 204 | 579 | 0 | 781 | 255 |
N.S. |
1 | 1.00 | 7.67 | 0.89 | 0.95 | 2.71 | 0.00 | 3.65 | 1.19 |
time (sec) |
N/A | 0.514 | 9.356 | 10.368 | 0.271 | 0.324 | 0.000 | 0.467 | 17.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 152 | 1153 | 125 | 149 | 439 | 0 | 174 | 172 |
N.S. |
1 | 0.99 | 7.49 | 0.81 | 0.97 | 2.85 | 0.00 | 1.13 | 1.12 |
time (sec) |
N/A | 0.438 | 8.741 | 5.737 | 0.260 | 0.300 | 0.000 | 0.417 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 120 | 656 | 83 | 103 | 299 | 0 | 92 | 105 |
N.S. |
1 | 1.03 | 5.66 | 0.72 | 0.89 | 2.58 | 0.00 | 0.79 | 0.91 |
time (sec) |
N/A | 0.251 | 5.522 | 2.949 | 0.260 | 0.289 | 0.000 | 0.380 | 0.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 173 | 447 | 156 | 261 | 779 | 0 | 592 | 3557 |
N.S. |
1 | 1.12 | 2.90 | 1.01 | 1.69 | 5.06 | 0.00 | 3.84 | 23.10 |
time (sec) |
N/A | 0.362 | 4.217 | 1.471 | 0.260 | 0.396 | 0.000 | 0.407 | 21.902 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 237 | 532 | 198 | 399 | 1332 | 0 | 750 | 2728 |
N.S. |
1 | 1.11 | 2.50 | 0.93 | 1.87 | 6.25 | 0.00 | 3.52 | 12.81 |
time (sec) |
N/A | 0.454 | 5.356 | 1.760 | 0.269 | 0.430 | 0.000 | 0.522 | 19.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 284 | 549 | 259 | 528 | 1833 | 0 | 1316 | 5613 |
N.S. |
1 | 1.11 | 2.14 | 1.01 | 2.05 | 7.13 | 0.00 | 5.12 | 21.84 |
time (sec) |
N/A | 0.501 | 5.318 | 2.312 | 0.283 | 0.468 | 0.000 | 0.462 | 23.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 346 | 1639 | 247 | 418 | 930 | 0 | 351 | 2117 |
N.S. |
1 | 1.10 | 5.22 | 0.79 | 1.33 | 2.96 | 0.00 | 1.12 | 6.74 |
time (sec) |
N/A | 0.601 | 17.416 | 11.695 | 0.272 | 0.359 | 0.000 | 0.492 | 22.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 261 | 2469 | 193 | 299 | 803 | 0 | 306 | 1317 |
N.S. |
1 | 1.10 | 10.37 | 0.81 | 1.26 | 3.37 | 0.00 | 1.29 | 5.53 |
time (sec) |
N/A | 0.462 | 21.952 | 6.369 | 0.267 | 0.342 | 0.000 | 0.438 | 21.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 216 | 1915 | 155 | 272 | 815 | 0 | 208 | 2628 |
N.S. |
1 | 1.17 | 10.41 | 0.84 | 1.48 | 4.43 | 0.00 | 1.13 | 14.28 |
time (sec) |
N/A | 0.394 | 15.357 | 4.212 | 0.273 | 0.334 | 0.000 | 0.406 | 22.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 175 | 332 | 147 | 231 | 819 | 0 | 196 | 3271 |
N.S. |
1 | 1.22 | 2.31 | 1.02 | 1.60 | 5.69 | 0.00 | 1.36 | 22.72 |
time (sec) |
N/A | 0.320 | 6.393 | 1.535 | 0.266 | 0.327 | 0.000 | 0.288 | 22.736 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 132 | 749 | 97 | 219 | 615 | 0 | 177 | 146 |
N.S. |
1 | 1.06 | 6.04 | 0.78 | 1.77 | 4.96 | 0.00 | 1.43 | 1.18 |
time (sec) |
N/A | 0.281 | 6.880 | 1.373 | 0.266 | 0.308 | 0.000 | 0.452 | 19.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 166 | 994 | 140 | 323 | 1009 | 0 | 264 | 207 |
N.S. |
1 | 1.01 | 6.06 | 0.85 | 1.97 | 6.15 | 0.00 | 1.61 | 1.26 |
time (sec) |
N/A | 0.452 | 5.026 | 1.681 | 0.271 | 0.331 | 0.000 | 0.423 | 20.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 249 | 479 | 180 | 434 | 1423 | 0 | 367 | 267 |
N.S. |
1 | 1.03 | 1.98 | 0.74 | 1.79 | 5.88 | 0.00 | 1.52 | 1.10 |
time (sec) |
N/A | 0.564 | 5.566 | 2.549 | 0.280 | 0.359 | 0.000 | 0.463 | 21.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 143 | 152 | 572 | 171 | 295 | 0 | 1281 | 0 |
N.S. |
1 | 1.03 | 1.09 | 4.12 | 1.23 | 2.12 | 0.00 | 9.22 | 0.00 |
time (sec) |
N/A | 0.316 | 1.071 | 3.313 | 0.267 | 0.414 | 0.000 | 0.647 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 95 | 120 | 340 | 116 | 232 | 0 | 805 | 0 |
N.S. |
1 | 0.95 | 1.20 | 3.40 | 1.16 | 2.32 | 0.00 | 8.05 | 0.00 |
time (sec) |
N/A | 0.272 | 0.364 | 0.381 | 0.264 | 0.386 | 0.000 | 0.467 | 0.000 |
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 | 66 | 64 | 99 | 93 | 88 | 182 | 0 | 55 | 87 |
N.S. |
1 | 0.97 | 1.50 | 1.41 | 1.33 | 2.76 | 0.00 | 0.83 | 1.32 |
time (sec) |
N/A | 0.236 | 0.143 | 0.067 | 0.266 | 0.394 | 0.000 | 0.278 | 18.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 80 | 119 | 542 | 0 | 496 | 0 | 405 | 0 |
N.S. |
1 | 0.98 | 1.45 | 6.61 | 0.00 | 6.05 | 0.00 | 4.94 | 0.00 |
time (sec) |
N/A | 0.282 | 0.298 | 0.560 | 0.000 | 0.337 | 0.000 | 0.699 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 131 | 163 | 2129 | 0 | 867 | 0 | 578 | 0 |
N.S. |
1 | 1.06 | 1.31 | 17.17 | 0.00 | 6.99 | 0.00 | 4.66 | 0.00 |
time (sec) |
N/A | 0.321 | 0.662 | 0.444 | 0.000 | 0.396 | 0.000 | 0.824 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 183 | 207 | 209 | 4318 | 0 | 1476 | 0 | 867 | 0 |
N.S. |
1 | 1.13 | 1.14 | 23.60 | 0.00 | 8.07 | 0.00 | 4.74 | 0.00 |
time (sec) |
N/A | 0.412 | 1.717 | 0.507 | 0.000 | 0.658 | 0.000 | 1.211 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 240 | 270 | 0 | 1180 | 0 | 1715 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.00 | 4.92 | 0.00 | 7.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.505 | 0.000 | 12.638 | 0.000 | 2.887 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 181 | 197 | 0 | 791 | 0 | 1565 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.00 | 4.37 | 0.00 | 8.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 0.000 | 9.838 | 0.000 | 1.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 127 | 432 | 516 | 0 | 1417 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 3.51 | 4.20 | 0.00 | 11.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 4.291 | 7.378 | 0.000 | 0.606 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 77 | 284 | 353 | 3227 | 1227 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 3.59 | 4.47 | 40.85 | 15.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 2.888 | 6.387 | 0.763 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 66 | 61 | 326 | 50 | 306 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.90 | 4.79 | 0.74 | 4.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 0.198 | 5.342 | 0.180 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 100 | 285 | 1037 | 82 | 436 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 2.71 | 9.88 | 0.78 | 4.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 2.761 | 7.325 | 0.184 | 0.473 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 157 | 941 | 1680 | 143 | 656 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 6.32 | 11.28 | 0.96 | 4.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.325 | 8.732 | 7.177 | 0.187 | 1.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 175 | 188 | 802 | 277 | 351 | 0 | 1952 | 0 |
N.S. |
1 | 0.89 | 0.96 | 4.09 | 1.41 | 1.79 | 0.00 | 9.96 | 0.00 |
time (sec) |
N/A | 0.321 | 1.155 | 7.029 | 0.265 | 0.527 | 0.000 | 1.951 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 144 | 164 | 552 | 250 | 278 | 0 | 1388 | 0 |
N.S. |
1 | 0.89 | 1.01 | 3.41 | 1.54 | 1.72 | 0.00 | 8.57 | 0.00 |
time (sec) |
N/A | 0.308 | 0.557 | 6.934 | 0.270 | 0.497 | 0.000 | 1.242 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 98 | 73 | 121 | 142 | 231 | 0 | 87 | 61 |
N.S. |
1 | 0.98 | 0.73 | 1.21 | 1.42 | 2.31 | 0.00 | 0.87 | 0.61 |
time (sec) |
N/A | 0.248 | 0.483 | 0.089 | 0.259 | 0.413 | 0.000 | 0.311 | 20.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 119 | 171 | 1437 | 0 | 715 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.40 | 11.78 | 0.00 | 5.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.324 | 0.451 | 6.762 | 0.000 | 0.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 162 | 202 | 3470 | 0 | 984 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.25 | 21.55 | 0.00 | 6.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 1.115 | 6.921 | 0.000 | 0.427 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 226 | 262 | 5131 | 0 | 1511 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.20 | 23.54 | 0.00 | 6.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.473 | 2.604 | 6.610 | 0.000 | 0.468 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 298 | 311 | 0 | 1602 | 0 | 1855 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.00 | 5.38 | 0.00 | 6.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.582 | 0.000 | 16.254 | 0.000 | 10.531 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 217 | 221 | 225 | 1186 | 0 | 1667 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.04 | 5.47 | 0.00 | 7.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.471 | 3.567 | 16.911 | 0.000 | 3.352 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 161 | 159 | 493 | 900 | 0 | 1535 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 3.06 | 5.59 | 0.00 | 9.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 3.784 | 11.543 | 0.000 | 1.180 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 118 | 116 | 527 | 709 | 0 | 1457 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 4.47 | 6.01 | 0.00 | 12.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 3.456 | 9.876 | 0.000 | 0.615 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 103 | 64 | 741 | 98 | 370 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.61 | 7.06 | 0.93 | 3.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 0.202 | 10.167 | 0.195 | 0.468 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 154 | 369 | 1141 | 243 | 472 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 2.15 | 6.63 | 1.41 | 2.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 7.692 | 10.654 | 0.192 | 1.502 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 188 | 512 | 1851 | 273 | 682 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 2.45 | 8.86 | 1.31 | 3.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.339 | 9.263 | 11.454 | 0.205 | 6.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 126 | 93 | 94 | 162 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.76 | 0.76 | 1.32 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.972 | 1.170 | 0.199 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 72 | 64 | 58 | 83 | 57 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.86 | 0.78 | 1.12 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.176 | 1.056 | 0.193 | 0.248 | 0.000 | 0.000 | 0.000 |
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 | 30 | 30 | 48 | 31 | 28 | 37 | 0 | 31 | 46 |
N.S. |
1 | 1.00 | 1.60 | 1.03 | 0.93 | 1.23 | 0.00 | 1.03 | 1.53 |
time (sec) |
N/A | 0.211 | 0.101 | 0.271 | 0.188 | 0.248 | 0.000 | 0.299 | 17.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 86 | 247 | 0 | 140 | 0 | 305 | 0 |
N.S. |
1 | 1.00 | 2.00 | 5.74 | 0.00 | 3.26 | 0.00 | 7.09 | 0.00 |
time (sec) |
N/A | 0.239 | 0.108 | 1.217 | 0.000 | 0.308 | 0.000 | 0.628 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 87 | 93 | 140 | 1215 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.61 | 13.97 | 0.00 | 3.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.734 | 1.283 | 0.000 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 157 | 78 | 1760 | 0 | 491 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.57 | 12.75 | 0.00 | 3.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 0.150 | 1.141 | 0.000 | 0.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 215 | 163 | 1136 | 0 | 639 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.84 | 5.89 | 0.00 | 3.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 1.114 | 6.756 | 0.000 | 1.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 148 | 145 | 809 | 0 | 565 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.07 | 5.99 | 0.00 | 4.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 0.335 | 5.557 | 0.000 | 0.565 | 0.000 | 0.000 | 0.000 |