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) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 123 | 105 | 204 | 126 | 0 | 244 | 285 |
N.S. |
1 | 1.00 | 0.63 | 0.54 | 1.05 | 0.65 | 0.00 | 1.26 | 1.47 |
time (sec) |
N/A | 0.478 | 0.997 | 0.302 | 0.225 | 0.276 | 0.000 | 0.334 | 18.014 |
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 | 197 | 197 | 112 | 227 | 382 | 181 | 0 | 280 | 262 |
N.S. |
1 | 1.00 | 0.57 | 1.15 | 1.94 | 0.92 | 0.00 | 1.42 | 1.33 |
time (sec) |
N/A | 0.460 | 5.765 | 0.672 | 0.204 | 0.279 | 0.000 | 0.359 | 17.964 |
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 | 157 | 157 | 195 | 201 | 285 | 161 | 0 | 246 | 224 |
N.S. |
1 | 1.00 | 1.24 | 1.28 | 1.82 | 1.03 | 0.00 | 1.57 | 1.43 |
time (sec) |
N/A | 0.314 | 4.208 | 0.485 | 0.203 | 0.270 | 0.000 | 0.368 | 18.289 |
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 | 147 | 147 | 92 | 179 | 250 | 151 | 0 | 222 | 231 |
N.S. |
1 | 1.00 | 0.63 | 1.22 | 1.70 | 1.03 | 0.00 | 1.51 | 1.57 |
time (sec) |
N/A | 0.265 | 2.928 | 0.439 | 0.200 | 0.293 | 0.000 | 0.334 | 15.889 |
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 | 145 | 145 | 152 | 151 | 177 | 151 | 0 | 219 | 199 |
N.S. |
1 | 1.00 | 1.05 | 1.04 | 1.22 | 1.04 | 0.00 | 1.51 | 1.37 |
time (sec) |
N/A | 0.304 | 1.098 | 0.492 | 0.208 | 0.269 | 0.000 | 0.333 | 15.612 |
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 | 162 | 162 | 364 | 153 | 175 | 148 | 0 | 230 | 207 |
N.S. |
1 | 1.00 | 2.25 | 0.94 | 1.08 | 0.91 | 0.00 | 1.42 | 1.28 |
time (sec) |
N/A | 0.460 | 7.469 | 0.480 | 0.213 | 0.300 | 0.000 | 0.370 | 15.615 |
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 | 156 | 156 | 1014 | 127 | 137 | 138 | 0 | 210 | 189 |
N.S. |
1 | 1.00 | 6.50 | 0.81 | 0.88 | 0.88 | 0.00 | 1.35 | 1.21 |
time (sec) |
N/A | 0.478 | 8.294 | 0.413 | 0.205 | 0.276 | 0.000 | 0.334 | 15.674 |
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 | 169 | 169 | 124 | 103 | 171 | 112 | 0 | 213 | 195 |
N.S. |
1 | 1.00 | 0.73 | 0.61 | 1.01 | 0.66 | 0.00 | 1.26 | 1.15 |
time (sec) |
N/A | 0.466 | 1.775 | 0.379 | 0.208 | 0.279 | 0.000 | 0.334 | 15.620 |
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 | 161 | 161 | 97 | 91 | 190 | 106 | 0 | 210 | 247 |
N.S. |
1 | 1.00 | 0.60 | 0.57 | 1.18 | 0.66 | 0.00 | 1.30 | 1.53 |
time (sec) |
N/A | 0.384 | 0.941 | 0.257 | 0.212 | 0.258 | 0.000 | 0.345 | 18.344 |
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 | 216 | 216 | 123 | 106 | 239 | 126 | 0 | 244 | 285 |
N.S. |
1 | 1.00 | 0.57 | 0.49 | 1.11 | 0.58 | 0.00 | 1.13 | 1.32 |
time (sec) |
N/A | 0.633 | 0.687 | 0.294 | 0.220 | 0.261 | 0.000 | 0.335 | 18.331 |
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 | 228 | 228 | 131 | 253 | 462 | 201 | 0 | 314 | 301 |
N.S. |
1 | 1.00 | 0.57 | 1.11 | 2.03 | 0.88 | 0.00 | 1.38 | 1.32 |
time (sec) |
N/A | 0.606 | 5.846 | 0.800 | 0.216 | 0.285 | 0.000 | 0.373 | 18.195 |
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 | 188 | 188 | 243 | 227 | 449 | 181 | 0 | 280 | 262 |
N.S. |
1 | 1.00 | 1.29 | 1.21 | 2.39 | 0.96 | 0.00 | 1.49 | 1.39 |
time (sec) |
N/A | 0.388 | 5.134 | 0.591 | 0.208 | 0.284 | 0.000 | 0.367 | 18.205 |
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 | 177 | 177 | 112 | 226 | 308 | 177 | 0 | 257 | 277 |
N.S. |
1 | 1.00 | 0.63 | 1.28 | 1.74 | 1.00 | 0.00 | 1.45 | 1.56 |
time (sec) |
N/A | 0.454 | 6.720 | 0.527 | 0.208 | 0.289 | 0.000 | 0.372 | 15.487 |
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 | 181 | 181 | 203 | 223 | 296 | 171 | 0 | 253 | 246 |
N.S. |
1 | 1.00 | 1.12 | 1.23 | 1.64 | 0.94 | 0.00 | 1.40 | 1.36 |
time (sec) |
N/A | 0.549 | 5.213 | 0.679 | 0.210 | 0.295 | 0.000 | 0.361 | 15.743 |
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 | 192 | 192 | 1420 | 190 | 211 | 170 | 0 | 248 | 252 |
N.S. |
1 | 1.00 | 7.40 | 0.99 | 1.10 | 0.89 | 0.00 | 1.29 | 1.31 |
time (sec) |
N/A | 0.811 | 12.361 | 0.631 | 0.202 | 0.277 | 0.000 | 0.344 | 15.648 |
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 | 198 | 198 | 1250 | 180 | 211 | 171 | 0 | 248 | 244 |
N.S. |
1 | 1.00 | 6.31 | 0.91 | 1.07 | 0.86 | 0.00 | 1.25 | 1.23 |
time (sec) |
N/A | 0.817 | 12.311 | 0.623 | 0.216 | 0.278 | 0.000 | 0.348 | 15.664 |
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 | 200 | 200 | 375 | 144 | 194 | 158 | 0 | 244 | 234 |
N.S. |
1 | 1.00 | 1.88 | 0.72 | 0.97 | 0.79 | 0.00 | 1.22 | 1.17 |
time (sec) |
N/A | 0.660 | 7.610 | 0.464 | 0.215 | 0.305 | 0.000 | 0.365 | 15.757 |
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 | 207 | 207 | 147 | 120 | 229 | 138 | 0 | 248 | 202 |
N.S. |
1 | 1.00 | 0.71 | 0.58 | 1.11 | 0.67 | 0.00 | 1.20 | 0.98 |
time (sec) |
N/A | 0.651 | 4.504 | 0.394 | 0.204 | 0.276 | 0.000 | 0.371 | 15.912 |
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 | 192 | 192 | 119 | 107 | 273 | 126 | 0 | 244 | 286 |
N.S. |
1 | 1.00 | 0.62 | 0.56 | 1.42 | 0.66 | 0.00 | 1.27 | 1.49 |
time (sec) |
N/A | 0.461 | 1.212 | 0.300 | 0.201 | 0.277 | 0.000 | 0.356 | 18.471 |
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 | 254 | 254 | 145 | 125 | 319 | 146 | 0 | 278 | 323 |
N.S. |
1 | 1.00 | 0.57 | 0.49 | 1.26 | 0.57 | 0.00 | 1.09 | 1.27 |
time (sec) |
N/A | 0.814 | 0.432 | 0.389 | 0.218 | 0.267 | 0.000 | 0.359 | 17.719 |
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 | 165 | 165 | 792 | 197 | 408 | 189 | 0 | 213 | 184 |
N.S. |
1 | 1.00 | 4.80 | 1.19 | 2.47 | 1.15 | 0.00 | 1.29 | 1.12 |
time (sec) |
N/A | 0.244 | 7.743 | 0.570 | 0.212 | 0.287 | 0.000 | 0.312 | 16.277 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 1090 | 165 | 325 | 172 | 0 | 185 | 150 |
N.S. |
1 | 1.00 | 8.20 | 1.24 | 2.44 | 1.29 | 0.00 | 1.39 | 1.13 |
time (sec) |
N/A | 0.211 | 8.427 | 0.436 | 0.230 | 0.273 | 0.000 | 0.324 | 15.318 |
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 | 107 | 107 | 316 | 118 | 239 | 152 | 0 | 130 | 106 |
N.S. |
1 | 1.00 | 2.95 | 1.10 | 2.23 | 1.42 | 0.00 | 1.21 | 0.99 |
time (sec) |
N/A | 0.199 | 3.638 | 0.353 | 0.211 | 0.260 | 0.000 | 0.293 | 15.095 |
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 | 57 | 57 | 227 | 82 | 144 | 109 | 0 | 101 | 72 |
N.S. |
1 | 1.00 | 3.98 | 1.44 | 2.53 | 1.91 | 0.00 | 1.77 | 1.26 |
time (sec) |
N/A | 0.172 | 4.665 | 0.226 | 0.207 | 0.264 | 0.000 | 0.297 | 15.175 |
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 | 49 | 49 | 36 | 59 | 125 | 88 | 0 | 80 | 101 |
N.S. |
1 | 1.00 | 0.73 | 1.20 | 2.55 | 1.80 | 0.00 | 1.63 | 2.06 |
time (sec) |
N/A | 0.133 | 0.637 | 0.142 | 0.315 | 0.280 | 0.000 | 0.300 | 15.015 |
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 | 52 | 52 | 108 | 37 | 117 | 53 | 0 | 74 | 59 |
N.S. |
1 | 1.00 | 2.08 | 0.71 | 2.25 | 1.02 | 0.00 | 1.42 | 1.13 |
time (sec) |
N/A | 0.120 | 0.785 | 0.185 | 0.285 | 0.248 | 0.000 | 0.293 | 14.862 |
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 | 96 | 96 | 159 | 56 | 184 | 77 | 0 | 96 | 83 |
N.S. |
1 | 1.00 | 1.66 | 0.58 | 1.92 | 0.80 | 0.00 | 1.00 | 0.86 |
time (sec) |
N/A | 0.177 | 1.113 | 0.238 | 0.282 | 0.260 | 0.000 | 0.295 | 15.105 |
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 | 124 | 124 | 225 | 73 | 269 | 97 | 0 | 152 | 114 |
N.S. |
1 | 1.00 | 1.81 | 0.59 | 2.17 | 0.78 | 0.00 | 1.23 | 0.92 |
time (sec) |
N/A | 0.205 | 2.715 | 0.290 | 0.287 | 0.260 | 0.000 | 0.293 | 14.981 |
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 | 156 | 156 | 283 | 91 | 351 | 113 | 0 | 180 | 153 |
N.S. |
1 | 1.00 | 1.81 | 0.58 | 2.25 | 0.72 | 0.00 | 1.15 | 0.98 |
time (sec) |
N/A | 0.222 | 2.577 | 0.355 | 0.294 | 0.266 | 0.000 | 0.291 | 14.937 |
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 | 172 | 172 | 623 | 196 | 379 | 237 | 0 | 225 | 197 |
N.S. |
1 | 1.00 | 3.62 | 1.14 | 2.20 | 1.38 | 0.00 | 1.31 | 1.15 |
time (sec) |
N/A | 0.396 | 6.332 | 0.541 | 0.215 | 0.263 | 0.000 | 0.321 | 15.141 |
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 | 150 | 150 | 513 | 156 | 288 | 222 | 0 | 171 | 144 |
N.S. |
1 | 1.00 | 3.42 | 1.04 | 1.92 | 1.48 | 0.00 | 1.14 | 0.96 |
time (sec) |
N/A | 0.365 | 4.927 | 0.453 | 0.206 | 0.270 | 0.000 | 0.322 | 15.282 |
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 | 99 | 99 | 280 | 118 | 191 | 167 | 0 | 142 | 111 |
N.S. |
1 | 1.00 | 2.83 | 1.19 | 1.93 | 1.69 | 0.00 | 1.43 | 1.12 |
time (sec) |
N/A | 0.311 | 2.775 | 0.305 | 0.214 | 0.267 | 0.000 | 0.312 | 14.895 |
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 | 75 | 81 | 377 | 73 | 146 | 128 | 0 | 112 | 77 |
N.S. |
1 | 1.08 | 5.03 | 0.97 | 1.95 | 1.71 | 0.00 | 1.49 | 1.03 |
time (sec) |
N/A | 0.189 | 2.542 | 0.181 | 0.206 | 0.258 | 0.000 | 0.302 | 14.960 |
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 | 68 | 68 | 141 | 47 | 119 | 94 | 0 | 84 | 64 |
N.S. |
1 | 1.00 | 2.07 | 0.69 | 1.75 | 1.38 | 0.00 | 1.24 | 0.94 |
time (sec) |
N/A | 0.147 | 2.063 | 0.134 | 0.284 | 0.270 | 0.000 | 0.326 | 15.115 |
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 | 82 | 82 | 195 | 69 | 165 | 102 | 0 | 114 | 99 |
N.S. |
1 | 1.00 | 2.38 | 0.84 | 2.01 | 1.24 | 0.00 | 1.39 | 1.21 |
time (sec) |
N/A | 0.264 | 1.452 | 0.245 | 0.304 | 0.266 | 0.000 | 0.287 | 14.911 |
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 | 137 | 137 | 281 | 85 | 236 | 134 | 0 | 137 | 134 |
N.S. |
1 | 1.00 | 2.05 | 0.62 | 1.72 | 0.98 | 0.00 | 1.00 | 0.98 |
time (sec) |
N/A | 0.359 | 2.205 | 0.299 | 0.291 | 0.263 | 0.000 | 0.304 | 15.046 |
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 | 163 | 163 | 349 | 101 | 325 | 148 | 0 | 191 | 181 |
N.S. |
1 | 1.00 | 2.14 | 0.62 | 1.99 | 0.91 | 0.00 | 1.17 | 1.11 |
time (sec) |
N/A | 0.402 | 2.137 | 0.360 | 0.291 | 0.263 | 0.000 | 0.311 | 15.375 |
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 | 198 | 198 | 632 | 175 | 330 | 289 | 0 | 207 | 195 |
N.S. |
1 | 1.00 | 3.19 | 0.88 | 1.67 | 1.46 | 0.00 | 1.05 | 0.98 |
time (sec) |
N/A | 0.582 | 3.949 | 0.539 | 0.201 | 0.280 | 0.000 | 0.370 | 15.207 |
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 | 145 | 145 | 457 | 135 | 233 | 222 | 0 | 178 | 150 |
N.S. |
1 | 1.00 | 3.15 | 0.93 | 1.61 | 1.53 | 0.00 | 1.23 | 1.03 |
time (sec) |
N/A | 0.497 | 5.564 | 0.391 | 0.202 | 0.279 | 0.000 | 0.362 | 14.830 |
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 | 123 | 123 | 236 | 87 | 167 | 184 | 0 | 131 | 110 |
N.S. |
1 | 1.00 | 1.92 | 0.71 | 1.36 | 1.50 | 0.00 | 1.07 | 0.89 |
time (sec) |
N/A | 0.401 | 3.756 | 0.221 | 0.217 | 0.276 | 0.000 | 0.339 | 15.317 |
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 | 104 | 104 | 121 | 58 | 134 | 89 | 0 | 89 | 69 |
N.S. |
1 | 1.00 | 1.16 | 0.56 | 1.29 | 0.86 | 0.00 | 0.86 | 0.66 |
time (sec) |
N/A | 0.229 | 1.760 | 0.182 | 0.215 | 0.254 | 0.000 | 0.309 | 14.814 |
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 | 106 | 106 | 227 | 65 | 140 | 138 | 0 | 104 | 117 |
N.S. |
1 | 1.00 | 2.14 | 0.61 | 1.32 | 1.30 | 0.00 | 0.98 | 1.10 |
time (sec) |
N/A | 0.223 | 2.961 | 0.159 | 0.292 | 0.251 | 0.000 | 0.310 | 14.793 |
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 | 120 | 120 | 283 | 85 | 205 | 149 | 0 | 151 | 153 |
N.S. |
1 | 1.00 | 2.36 | 0.71 | 1.71 | 1.24 | 0.00 | 1.26 | 1.28 |
time (sec) |
N/A | 0.457 | 3.424 | 0.287 | 0.289 | 0.263 | 0.000 | 0.304 | 15.303 |
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 | 183 | 183 | 385 | 103 | 276 | 184 | 0 | 174 | 184 |
N.S. |
1 | 1.00 | 2.10 | 0.56 | 1.51 | 1.01 | 0.00 | 0.95 | 1.01 |
time (sec) |
N/A | 0.691 | 4.452 | 0.354 | 0.289 | 0.272 | 0.000 | 0.317 | 14.913 |
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 | 216 | 216 | 455 | 119 | 365 | 201 | 0 | 228 | 231 |
N.S. |
1 | 1.00 | 2.11 | 0.55 | 1.69 | 0.93 | 0.00 | 1.06 | 1.07 |
time (sec) |
N/A | 0.796 | 5.064 | 0.413 | 0.292 | 0.276 | 0.000 | 0.328 | 15.005 |
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 | 232 | 232 | 746 | 192 | 372 | 354 | 0 | 241 | 256 |
N.S. |
1 | 1.00 | 3.22 | 0.83 | 1.60 | 1.53 | 0.00 | 1.04 | 1.10 |
time (sec) |
N/A | 1.023 | 8.641 | 0.583 | 0.210 | 0.283 | 0.000 | 0.360 | 15.197 |
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 | 183 | 183 | 544 | 152 | 274 | 277 | 0 | 212 | 204 |
N.S. |
1 | 1.00 | 2.97 | 0.83 | 1.50 | 1.51 | 0.00 | 1.16 | 1.11 |
time (sec) |
N/A | 0.804 | 6.797 | 0.403 | 0.220 | 0.266 | 0.000 | 0.344 | 15.055 |
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 | 161 | 161 | 283 | 111 | 228 | 235 | 0 | 182 | 156 |
N.S. |
1 | 1.00 | 1.76 | 0.69 | 1.42 | 1.46 | 0.00 | 1.13 | 0.97 |
time (sec) |
N/A | 0.576 | 3.184 | 0.285 | 0.203 | 0.270 | 0.000 | 0.339 | 14.937 |
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 | 138 | 138 | 151 | 78 | 175 | 123 | 0 | 117 | 83 |
N.S. |
1 | 1.00 | 1.09 | 0.57 | 1.27 | 0.89 | 0.00 | 0.85 | 0.60 |
time (sec) |
N/A | 0.440 | 2.635 | 0.224 | 0.218 | 0.245 | 0.000 | 0.327 | 15.724 |
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 | 142 | 142 | 171 | 76 | 175 | 124 | 0 | 117 | 88 |
N.S. |
1 | 1.00 | 1.20 | 0.54 | 1.23 | 0.87 | 0.00 | 0.82 | 0.62 |
time (sec) |
N/A | 0.307 | 3.910 | 0.211 | 0.218 | 0.246 | 0.000 | 0.340 | 16.186 |
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 | 136 | 136 | 315 | 87 | 201 | 182 | 0 | 154 | 163 |
N.S. |
1 | 1.00 | 2.32 | 0.64 | 1.48 | 1.34 | 0.00 | 1.13 | 1.20 |
time (sec) |
N/A | 0.310 | 6.215 | 0.190 | 0.294 | 0.266 | 0.000 | 0.314 | 16.160 |
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 | 152 | 152 | 371 | 103 | 246 | 193 | 0 | 184 | 192 |
N.S. |
1 | 1.00 | 2.44 | 0.68 | 1.62 | 1.27 | 0.00 | 1.21 | 1.26 |
time (sec) |
N/A | 0.579 | 7.850 | 0.334 | 0.296 | 0.292 | 0.000 | 0.329 | 16.031 |
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 | 215 | 215 | 505 | 119 | 318 | 234 | 0 | 207 | 249 |
N.S. |
1 | 1.00 | 2.35 | 0.55 | 1.48 | 1.09 | 0.00 | 0.96 | 1.16 |
time (sec) |
N/A | 0.734 | 8.700 | 0.424 | 0.295 | 0.283 | 0.000 | 0.331 | 16.031 |
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 | 248 | 248 | 575 | 138 | 405 | 252 | 0 | 261 | 198 |
N.S. |
1 | 1.00 | 2.32 | 0.56 | 1.63 | 1.02 | 0.00 | 1.05 | 0.80 |
time (sec) |
N/A | 0.792 | 8.870 | 0.480 | 0.286 | 0.289 | 0.000 | 0.345 | 15.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 109 | 143 | 0 | 133 | 0 | 0 | 636 |
N.S. |
1 | 1.00 | 0.49 | 0.64 | 0.00 | 0.60 | 0.00 | 0.00 | 2.85 |
time (sec) |
N/A | 0.622 | 0.905 | 1.398 | 0.000 | 0.282 | 0.000 | 0.000 | 27.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 119 | 121 | 0 | 116 | 0 | 0 | 535 |
N.S. |
1 | 1.00 | 0.66 | 0.67 | 0.00 | 0.64 | 0.00 | 0.00 | 2.97 |
time (sec) |
N/A | 0.522 | 0.714 | 0.882 | 0.000 | 0.271 | 0.000 | 0.000 | 25.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 71 | 99 | 0 | 98 | 0 | 0 | 423 |
N.S. |
1 | 1.00 | 0.52 | 0.72 | 0.00 | 0.72 | 0.00 | 0.00 | 3.09 |
time (sec) |
N/A | 0.487 | 0.667 | 0.573 | 0.000 | 0.275 | 0.000 | 0.000 | 19.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 55 | 71 | 0 | 81 | 0 | 0 | 182 |
N.S. |
1 | 1.00 | 0.58 | 0.75 | 0.00 | 0.85 | 0.00 | 0.00 | 1.92 |
time (sec) |
N/A | 0.231 | 0.576 | 0.522 | 0.000 | 0.264 | 0.000 | 0.000 | 21.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 96 | 121 | 0 | 294 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.26 | 0.00 | 3.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 2.210 | 0.705 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 84 | 177 | 792 | 258 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.88 | 8.43 | 2.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.519 | 0.871 | 0.374 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 114 | 317 | 1207 | 298 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 2.88 | 10.97 | 2.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 1.096 | 0.568 | 0.449 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 117 | 349 | 2713 | 334 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.28 | 17.73 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.425 | 0.624 | 0.681 | 0.610 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 70 | 383 | 7699 | 368 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.36 | 1.95 | 39.28 | 1.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.535 | 0.319 | 0.586 | 0.736 | 0.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 142 | 144 | 0 | 139 | 0 | 0 | 751 |
N.S. |
1 | 1.00 | 0.63 | 0.64 | 0.00 | 0.62 | 0.00 | 0.00 | 3.34 |
time (sec) |
N/A | 0.867 | 1.240 | 1.008 | 0.000 | 0.273 | 0.000 | 0.000 | 41.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 90 | 122 | 0 | 120 | 0 | 0 | 621 |
N.S. |
1 | 1.00 | 0.52 | 0.70 | 0.00 | 0.69 | 0.00 | 0.00 | 3.57 |
time (sec) |
N/A | 0.779 | 1.000 | 0.836 | 0.000 | 0.270 | 0.000 | 0.000 | 24.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 73 | 100 | 0 | 101 | 0 | 0 | 510 |
N.S. |
1 | 1.00 | 0.55 | 0.76 | 0.00 | 0.77 | 0.00 | 0.00 | 3.86 |
time (sec) |
N/A | 0.444 | 1.388 | 0.644 | 0.000 | 0.261 | 0.000 | 0.000 | 19.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 122 | 221 | 0 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.66 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 3.383 | 0.311 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 105 | 191 | 804 | 330 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.40 | 5.91 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.494 | 0.828 | 0.546 | 0.426 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 109 | 327 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 2.17 | 0.00 | 2.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.699 | 0.598 | 0.558 | 0.000 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 124 | 350 | 0 | 348 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 2.26 | 0.00 | 2.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.572 | 1.835 | 0.599 | 0.000 | 0.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 146 | 384 | 0 | 380 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.92 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.705 | 2.777 | 0.527 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 159 | 418 | 0 | 420 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 1.71 | 0.00 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.802 | 1.678 | 0.714 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 165 | 168 | 0 | 171 | 0 | 0 | 1039 |
N.S. |
1 | 1.00 | 0.60 | 0.62 | 0.00 | 0.63 | 0.00 | 0.00 | 3.81 |
time (sec) |
N/A | 1.088 | 2.262 | 0.368 | 0.000 | 0.271 | 0.000 | 0.000 | 29.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 143 | 146 | 0 | 149 | 0 | 0 | 885 |
N.S. |
1 | 1.00 | 0.68 | 0.69 | 0.00 | 0.71 | 0.00 | 0.00 | 4.19 |
time (sec) |
N/A | 0.692 | 2.283 | 120.656 | 0.000 | 0.266 | 0.000 | 0.000 | 27.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 90 | 124 | 0 | 130 | 0 | 0 | 766 |
N.S. |
1 | 1.00 | 0.53 | 0.73 | 0.00 | 0.77 | 0.00 | 0.00 | 4.53 |
time (sec) |
N/A | 0.403 | 2.256 | 44.861 | 0.000 | 0.259 | 0.000 | 0.000 | 23.616 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 151 | 228 | 0 | 408 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.34 | 0.00 | 2.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 4.057 | 9.741 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 123 | 217 | 1384 | 398 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.25 | 8.00 | 2.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 1.473 | 51.032 | 0.434 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 137 | 338 | 0 | 402 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.80 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.744 | 0.777 | 52.418 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 173 | 361 | 0 | 380 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.88 | 0.00 | 1.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.783 | 1.911 | 186.580 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 335 | 386 | 0 | 408 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.68 | 1.93 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.859 | 3.162 | 0.317 | 0.000 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 391 | 420 | 0 | 448 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 1.71 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.971 | 1.967 | 0.318 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 441 | 454 | 0 | 488 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 1.57 | 0.00 | 1.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.052 | 3.902 | 0.344 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 182 | 423 | 0 | 445 | 0 | 335 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.79 | 0.00 | 1.89 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 1.000 | 1.859 | 0.633 | 0.000 | 0.301 | 0.000 | 1.549 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 116 | 341 | 0 | 412 | 0 | 219 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.77 | 0.00 | 2.13 | 0.00 | 1.13 | 0.00 |
time (sec) |
N/A | 0.752 | 2.066 | 0.542 | 0.000 | 0.296 | 0.000 | 1.426 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 116 | 307 | 0 | 377 | 0 | 243 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.02 | 0.00 | 2.48 | 0.00 | 1.60 | 0.00 |
time (sec) |
N/A | 0.514 | 1.598 | 0.377 | 0.000 | 0.296 | 0.000 | 1.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 90 | 226 | 0 | 336 | 0 | 129 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.07 | 0.00 | 3.08 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.267 | 0.830 | 0.689 | 0.000 | 0.282 | 0.000 | 1.157 | 0.000 |
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 | 115 | 115 | 126 | 250 | 0 | 427 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 2.17 | 0.00 | 3.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 3.498 | 0.698 | 0.000 | 0.696 | 0.000 | 0.000 | 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 | 113 | 113 | 109 | 255 | 0 | 437 | 0 | 355 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.26 | 0.00 | 3.87 | 0.00 | 3.14 | 0.00 |
time (sec) |
N/A | 0.274 | 1.584 | 0.795 | 0.000 | 0.705 | 0.000 | 1.870 | 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 | 159 | 159 | 130 | 635 | 0 | 489 | 0 | 466 | 0 |
N.S. |
1 | 1.00 | 0.82 | 3.99 | 0.00 | 3.08 | 0.00 | 2.93 | 0.00 |
time (sec) |
N/A | 0.460 | 0.462 | 0.766 | 0.000 | 1.381 | 0.000 | 1.984 | 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 | 200 | 200 | 145 | 668 | 0 | 524 | 0 | 816 | 0 |
N.S. |
1 | 1.00 | 0.72 | 3.34 | 0.00 | 2.62 | 0.00 | 4.08 | 0.00 |
time (sec) |
N/A | 0.732 | 0.392 | 0.707 | 0.000 | 1.359 | 0.000 | 2.014 | 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 | 243 | 243 | 160 | 702 | 0 | 558 | 0 | 1012 | 0 |
N.S. |
1 | 1.00 | 0.66 | 2.89 | 0.00 | 2.30 | 0.00 | 4.16 | 0.00 |
time (sec) |
N/A | 1.240 | 0.565 | 0.750 | 0.000 | 1.961 | 0.000 | 2.098 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 204 | 423 | 0 | 527 | 0 | 362 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.63 | 0.00 | 2.03 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 1.377 | 2.378 | 0.866 | 0.000 | 0.312 | 0.000 | 1.426 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 154 | 362 | 0 | 492 | 0 | 276 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.69 | 0.00 | 2.30 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.794 | 3.440 | 0.830 | 0.000 | 0.306 | 0.000 | 1.757 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 137 | 331 | 0 | 451 | 0 | 246 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.96 | 0.00 | 2.67 | 0.00 | 1.46 | 0.00 |
time (sec) |
N/A | 0.551 | 3.339 | 0.757 | 0.000 | 0.299 | 0.000 | 1.897 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 121 | 258 | 0 | 374 | 0 | 185 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.05 | 0.00 | 2.97 | 0.00 | 1.47 | 0.00 |
time (sec) |
N/A | 0.264 | 1.313 | 0.730 | 0.000 | 0.302 | 0.000 | 1.512 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 154 | 288 | 0 | 544 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 2.30 | 0.00 | 4.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 3.662 | 0.573 | 0.000 | 1.811 | 0.000 | 0.000 | 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 | No | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 153 | 656 | 0 | 560 | 0 | 409 | 0 |
N.S. |
1 | 1.00 | 0.97 | 4.15 | 0.00 | 3.54 | 0.00 | 2.59 | 0.00 |
time (sec) |
N/A | 0.474 | 2.344 | 0.874 | 0.000 | 1.802 | 0.000 | 1.662 | 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 | 217 | 217 | 235 | 974 | 0 | 631 | 0 | 504 | 0 |
N.S. |
1 | 1.00 | 1.08 | 4.49 | 0.00 | 2.91 | 0.00 | 2.32 | 0.00 |
time (sec) |
N/A | 0.741 | 3.161 | 0.951 | 0.000 | 3.288 | 0.000 | 2.325 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 427 | 1008 | 0 | 668 | 0 | 815 | 0 |
N.S. |
1 | 1.00 | 1.61 | 3.79 | 0.00 | 2.51 | 0.00 | 3.06 | 0.00 |
time (sec) |
N/A | 0.953 | 2.891 | 0.846 | 0.000 | 3.277 | 0.000 | 2.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 173 | 407 | 0 | 588 | 0 | 361 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.57 | 0.00 | 2.27 | 0.00 | 1.39 | 0.00 |
time (sec) |
N/A | 0.965 | 2.968 | 0.889 | 0.000 | 0.312 | 0.000 | 1.646 | 0.000 |