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 | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 263 | 151 | 146 | 241 | 658 | 0 | 273 | 750 |
N.S. |
1 | 1.01 | 0.58 | 0.56 | 0.92 | 2.52 | 0.00 | 1.05 | 2.87 |
time (sec) |
N/A | 0.442 | 0.700 | 2.172 | 0.291 | 0.257 | 0.000 | 0.321 | 9.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 280 | 162 | 153 | 222 | 789 | 0 | 278 | 104 |
N.S. |
1 | 0.99 | 0.57 | 0.54 | 0.78 | 2.78 | 0.00 | 0.98 | 0.37 |
time (sec) |
N/A | 0.476 | 0.814 | 1.805 | 0.324 | 0.266 | 0.000 | 0.311 | 9.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 283 | 165 | 153 | 251 | 691 | 0 | 283 | 859 |
N.S. |
1 | 0.98 | 0.57 | 0.53 | 0.87 | 2.39 | 0.00 | 0.98 | 2.97 |
time (sec) |
N/A | 0.479 | 0.819 | 1.807 | 0.307 | 0.283 | 0.000 | 0.358 | 9.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 300 | 187 | 170 | 250 | 838 | 0 | 303 | 121 |
N.S. |
1 | 0.97 | 0.60 | 0.55 | 0.81 | 2.70 | 0.00 | 0.98 | 0.39 |
time (sec) |
N/A | 0.479 | 0.804 | 1.790 | 0.300 | 0.271 | 0.000 | 0.327 | 9.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 302 | 187 | 170 | 286 | 742 | 0 | 292 | 595 |
N.S. |
1 | 0.97 | 0.60 | 0.55 | 0.92 | 2.39 | 0.00 | 0.94 | 1.92 |
time (sec) |
N/A | 0.490 | 0.861 | 1.804 | 0.301 | 0.295 | 0.000 | 0.308 | 9.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 319 | 209 | 190 | 276 | 886 | 0 | 328 | 142 |
N.S. |
1 | 0.96 | 0.63 | 0.57 | 0.83 | 2.67 | 0.00 | 0.99 | 0.43 |
time (sec) |
N/A | 0.519 | 0.954 | 1.846 | 0.302 | 0.561 | 0.000 | 0.313 | 9.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 329 | 204 | 189 | 306 | 776 | 0 | 321 | 865 |
N.S. |
1 | 0.96 | 0.59 | 0.55 | 0.89 | 2.26 | 0.00 | 0.94 | 2.52 |
time (sec) |
N/A | 0.512 | 0.865 | 1.898 | 0.292 | 0.545 | 0.000 | 0.296 | 9.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 312 | 184 | 173 | 256 | 872 | 0 | 304 | 138 |
N.S. |
1 | 0.97 | 0.57 | 0.54 | 0.80 | 2.71 | 0.00 | 0.94 | 0.43 |
time (sec) |
N/A | 0.511 | 0.937 | 1.839 | 0.323 | 0.487 | 0.000 | 0.305 | 9.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 310 | 184 | 172 | 283 | 748 | 0 | 304 | 760 |
N.S. |
1 | 0.96 | 0.57 | 0.53 | 0.88 | 2.32 | 0.00 | 0.94 | 2.36 |
time (sec) |
N/A | 0.503 | 0.917 | 1.924 | 0.279 | 0.880 | 0.000 | 0.279 | 0.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 292 | 171 | 166 | 251 | 871 | 0 | 293 | 122 |
N.S. |
1 | 1.00 | 0.58 | 0.57 | 0.86 | 2.97 | 0.00 | 1.00 | 0.42 |
time (sec) |
N/A | 0.477 | 0.946 | 1.837 | 0.284 | 0.304 | 0.000 | 0.299 | 0.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 293 | 173 | 167 | 280 | 763 | 0 | 298 | 799 |
N.S. |
1 | 0.98 | 0.58 | 0.56 | 0.94 | 2.56 | 0.00 | 1.00 | 2.68 |
time (sec) |
N/A | 0.473 | 0.938 | 1.806 | 0.277 | 0.303 | 0.000 | 0.289 | 0.327 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 293 | 175 | 168 | 253 | 878 | 0 | 298 | 124 |
N.S. |
1 | 0.98 | 0.59 | 0.56 | 0.85 | 2.95 | 0.00 | 1.00 | 0.42 |
time (sec) |
N/A | 0.490 | 0.962 | 1.805 | 0.284 | 0.295 | 0.000 | 0.286 | 9.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 292 | 172 | 166 | 276 | 749 | 0 | 293 | 780 |
N.S. |
1 | 1.00 | 0.59 | 0.57 | 0.94 | 2.56 | 0.00 | 1.00 | 2.66 |
time (sec) |
N/A | 0.490 | 0.917 | 1.789 | 0.291 | 0.422 | 0.000 | 0.285 | 9.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 316 | 309 | 187 | 173 | 255 | 870 | 0 | 300 | 133 |
N.S. |
1 | 0.98 | 0.59 | 0.55 | 0.81 | 2.75 | 0.00 | 0.95 | 0.42 |
time (sec) |
N/A | 0.511 | 1.001 | 1.844 | 0.291 | 0.502 | 0.000 | 0.301 | 9.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 312 | 187 | 173 | 285 | 770 | 0 | 304 | 888 |
N.S. |
1 | 0.97 | 0.58 | 0.54 | 0.89 | 2.39 | 0.00 | 0.94 | 2.76 |
time (sec) |
N/A | 0.507 | 0.889 | 1.810 | 0.284 | 0.480 | 0.000 | 0.279 | 9.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 329 | 209 | 190 | 285 | 918 | 0 | 326 | 152 |
N.S. |
1 | 0.96 | 0.61 | 0.55 | 0.83 | 2.68 | 0.00 | 0.95 | 0.44 |
time (sec) |
N/A | 0.519 | 0.904 | 1.888 | 0.296 | 0.792 | 0.000 | 0.302 | 9.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 331 | 210 | 190 | 321 | 822 | 0 | 315 | 626 |
N.S. |
1 | 0.97 | 0.61 | 0.55 | 0.94 | 2.40 | 0.00 | 0.92 | 1.83 |
time (sec) |
N/A | 0.524 | 0.906 | 1.841 | 0.291 | 0.272 | 0.000 | 0.297 | 9.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 365 | 348 | 231 | 210 | 311 | 966 | 0 | 351 | 173 |
N.S. |
1 | 0.95 | 0.63 | 0.58 | 0.85 | 2.65 | 0.00 | 0.96 | 0.47 |
time (sec) |
N/A | 0.528 | 0.962 | 1.814 | 0.322 | 0.261 | 0.000 | 0.273 | 9.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 365 | 350 | 231 | 210 | 353 | 854 | 0 | 351 | 639 |
N.S. |
1 | 0.96 | 0.63 | 0.58 | 0.97 | 2.34 | 0.00 | 0.96 | 1.75 |
time (sec) |
N/A | 0.537 | 0.970 | 1.913 | 0.295 | 0.303 | 0.000 | 0.294 | 9.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 232 | 136 | 241 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.56 | 0.99 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 10.193 | 1.936 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 353 | 111 | 267 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.30 | 0.72 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 10.160 | 1.868 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 196 | 111 | 217 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.54 | 1.06 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 10.167 | 1.828 | 0.000 | 0.137 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 316 | 94 | 243 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.29 | 0.75 | 0.00 | 0.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 10.094 | 1.875 | 0.000 | 0.156 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 162 | 94 | 193 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.57 | 1.17 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 10.057 | 1.909 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 311 | 97 | 232 | 0 | 71 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.30 | 0.72 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.431 | 10.047 | 2.157 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 158 | 97 | 180 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.60 | 1.10 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 10.048 | 1.903 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 312 | 96 | 243 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.29 | 0.74 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 10.048 | 1.901 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 163 | 98 | 194 | 0 | 71 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.59 | 1.16 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 10.049 | 1.889 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 349 | 99 | 267 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.27 | 0.72 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 10.061 | 1.890 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 196 | 98 | 218 | 0 | 96 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.48 | 1.07 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 10.060 | 1.881 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 486 | 455 | 160 | 339 | 0 | 175 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.33 | 0.70 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.626 | 10.245 | 1.904 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 298 | 160 | 289 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.50 | 0.90 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.505 | 10.232 | 1.877 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 447 | 419 | 138 | 315 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.31 | 0.70 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.583 | 10.194 | 1.889 | 0.000 | 0.174 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 262 | 138 | 265 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.49 | 0.94 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 10.190 | 1.915 | 0.000 | 0.176 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 383 | 115 | 291 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.28 | 0.71 | 0.00 | 0.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 10.161 | 1.899 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 225 | 115 | 241 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.48 | 1.01 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 10.162 | 1.824 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 347 | 98 | 267 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.27 | 0.72 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.473 | 10.124 | 1.878 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 192 | 97 | 217 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.48 | 1.08 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.345 | 10.079 | 1.880 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 341 | 85 | 249 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.24 | 0.70 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 10.078 | 1.849 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 193 | 101 | 200 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.50 | 1.00 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 10.064 | 1.815 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 338 | 99 | 243 | 0 | 81 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.28 | 0.69 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.473 | 10.051 | 1.842 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 191 | 101 | 196 | 0 | 75 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.50 | 0.96 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.354 | 10.053 | 1.878 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 364 | 342 | 100 | 267 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.27 | 0.73 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 10.063 | 1.864 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 238 | 143 | 239 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.59 | 0.98 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 10.179 | 1.968 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 359 | 122 | 265 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.33 | 0.72 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.499 | 10.155 | 2.059 | 0.000 | 0.219 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 202 | 122 | 215 | 0 | 99 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.60 | 1.05 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.366 | 10.147 | 1.972 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 330 | 323 | 97 | 241 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.29 | 0.73 | 0.00 | 0.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.453 | 10.130 | 2.096 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 166 | 97 | 191 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.58 | 1.14 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 10.131 | 2.311 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 287 | 81 | 225 | 0 | 55 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.28 | 0.77 | 0.00 | 0.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.399 | 10.108 | 2.023 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 80 | 175 | 0 | 51 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.35 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 10.067 | 2.160 | 0.000 | 0.140 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 82 | 225 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.29 | 0.80 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.404 | 10.054 | 2.008 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 82 | 177 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.35 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 10.048 | 1.993 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 319 | 83 | 242 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.25 | 0.73 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 10.060 | 2.040 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 166 | 85 | 193 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.51 | 1.16 | 0.00 | 0.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 10.056 | 1.954 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 355 | 84 | 266 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.23 | 0.72 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 10.058 | 2.026 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 202 | 84 | 216 | 0 | 96 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.41 | 1.06 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 10.057 | 1.970 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 249 | 134 | 281 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.53 | 1.12 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 10.155 | 2.309 | 0.000 | 0.169 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 370 | 110 | 420 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.29 | 1.11 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.510 | 10.136 | 2.488 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 213 | 110 | 255 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 1.19 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 10.136 | 2.355 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 340 | 334 | 85 | 394 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.25 | 1.16 | 0.00 | 0.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 10.115 | 2.444 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 177 | 86 | 230 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.48 | 1.29 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.335 | 10.111 | 2.281 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 295 | 78 | 388 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.26 | 1.30 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.399 | 10.101 | 1.955 | 0.000 | 0.140 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 76 | 222 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 1.62 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 10.077 | 1.915 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 318 | 311 | 77 | 392 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.24 | 1.23 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 10.057 | 2.276 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 163 | 92 | 235 | 0 | 111 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.55 | 1.41 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 10.059 | 2.212 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 368 | 351 | 79 | 420 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.21 | 1.14 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 10.053 | 2.385 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 198 | 79 | 254 | 0 | 126 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.39 | 1.25 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 10.052 | 2.319 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 405 | 387 | 79 | 450 | 0 | 163 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.20 | 1.11 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 10.061 | 2.637 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 89 | 474 | 129 | 381 | 2077 | 603 | 291 |
N.S. |
1 | 1.00 | 0.93 | 4.94 | 1.34 | 3.97 | 21.64 | 6.28 | 3.03 |
time (sec) |
N/A | 0.250 | 0.180 | 2.054 | 0.199 | 0.416 | 1.056 | 0.288 | 9.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 66 | 262 | 91 | 217 | 1051 | 340 | 179 |
N.S. |
1 | 1.00 | 0.93 | 3.69 | 1.28 | 3.06 | 14.80 | 4.79 | 2.52 |
time (sec) |
N/A | 0.225 | 0.113 | 2.107 | 0.189 | 0.305 | 0.667 | 0.267 | 9.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 42 | 55 | 53 | 94 | 415 | 149 | 97 |
N.S. |
1 | 1.00 | 0.93 | 1.22 | 1.18 | 2.09 | 9.22 | 3.31 | 2.16 |
time (sec) |
N/A | 0.197 | 0.079 | 0.079 | 0.192 | 0.268 | 0.395 | 0.283 | 9.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.118 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 80 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 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 | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 140 | 131 | 135 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.156 | 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 | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 95 | 92 | 63 | 0 | 112 | 140 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.66 | 0.00 | 1.18 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.143 | 0.000 | 0.246 | 0.385 | 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 | 113 | 113 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 0.561 | 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 | 129 | 145 | 210 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.367 | 1.313 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 25 | 19 | 14 | 15 | 15 | 17 | 17 | 13 |
N.S. |
1 | 1.32 | 1.00 | 0.74 | 0.79 | 0.79 | 0.89 | 0.89 | 0.68 |
time (sec) |
N/A | 0.197 | 0.008 | 1.876 | 0.281 | 0.246 | 0.043 | 0.266 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 19 | 15 | 12 | 35 | 11 | 10 | 16 | 11 |
N.S. |
1 | 1.27 | 1.00 | 0.80 | 2.33 | 0.73 | 0.67 | 1.07 | 0.73 |
time (sec) |
N/A | 0.188 | 0.006 | 1.863 | 0.283 | 0.239 | 0.051 | 0.276 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 21 | 17 | 14 | 13 | 13 | 14 | 16 | 13 |
N.S. |
1 | 1.24 | 1.00 | 0.82 | 0.76 | 0.76 | 0.82 | 0.94 | 0.76 |
time (sec) |
N/A | 0.202 | 0.008 | 1.871 | 0.276 | 0.246 | 0.058 | 0.263 | 9.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 14 | 18 | 10 | 16 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.88 | 1.12 | 0.62 | 1.00 | 0.88 |
time (sec) |
N/A | 0.174 | 0.005 | 1.882 | 0.187 | 0.259 | 0.045 | 0.269 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 52 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.144 | 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 | C | F | B | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 116 | 0 | 37 | 43 | 0 | 48 | 0 |
N.S. |
1 | 1.00 | 6.44 | 0.00 | 2.06 | 2.39 | 0.00 | 2.67 | 0.00 |
time (sec) |
N/A | 0.163 | 0.465 | 0.000 | 0.269 | 0.277 | 0.000 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 195 | 214 | 157 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 0.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 140 | 119 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 0.239 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 97 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.193 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.193 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.213 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 112 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.295 | 0.301 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 184 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.400 | 0.401 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 202 | 231 | 179 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.345 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 150 | 174 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.286 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 0.177 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.220 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 133 | 150 | 125 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 0.258 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 217 | 229 | 182 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 0.382 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |