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 | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 94 | 240 | 927957 | 166 | 0 | 183 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.51 | 5836.21 | 1.04 | 0.00 | 1.15 | 0.00 |
time (sec) |
N/A | 0.601 | 0.241 | 4.263 | 17.267 | 0.331 | 0.000 | 0.464 | 0.000 |
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 | 118 | 118 | 78 | 194 | 38386 | 149 | 0 | 149 | 160 |
N.S. |
1 | 1.00 | 0.66 | 1.64 | 325.31 | 1.26 | 0.00 | 1.26 | 1.36 |
time (sec) |
N/A | 0.357 | 0.106 | 3.727 | 0.900 | 0.320 | 0.000 | 0.326 | 0.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 60 | 160 | 19040 | 135 | 0 | 125 | 112 |
N.S. |
1 | 1.00 | 0.77 | 2.05 | 244.10 | 1.73 | 0.00 | 1.60 | 1.44 |
time (sec) |
N/A | 0.113 | 0.049 | 2.799 | 0.593 | 0.311 | 0.000 | 0.320 | 0.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 72 | 272 | 91 | 171 | 0 | 165 | 0 |
N.S. |
1 | 1.00 | 0.79 | 2.99 | 1.00 | 1.88 | 0.00 | 1.81 | 0.00 |
time (sec) |
N/A | 0.289 | 0.050 | 4.608 | 0.340 | 0.336 | 0.000 | 0.346 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 95 | 703 | 18436 | 259 | 0 | 219 | 0 |
N.S. |
1 | 1.00 | 0.80 | 5.91 | 154.92 | 2.18 | 0.00 | 1.84 | 0.00 |
time (sec) |
N/A | 0.554 | 0.241 | 5.452 | 0.528 | 0.332 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 114 | 1152 | 76209 | 284 | 0 | 287 | 0 |
N.S. |
1 | 1.00 | 0.69 | 6.98 | 461.87 | 1.72 | 0.00 | 1.74 | 0.00 |
time (sec) |
N/A | 0.597 | 0.538 | 5.878 | 2.970 | 0.339 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 167 | 448 | 0 | 241 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.72 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.926 | 0.737 | 4.919 | 0.000 | 0.326 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 142 | 445 | 0 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 2.06 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.692 | 0.605 | 4.571 | 0.000 | 0.319 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 97 | 327 | 0 | 205 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 1.91 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.497 | 4.217 | 0.000 | 0.288 | 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 | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 104 | 256 | 0 | 189 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 2.17 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 0.278 | 4.095 | 0.000 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 63 | 220 | 62254 | 172 | 0 | 160 | 0 |
N.S. |
1 | 1.00 | 0.72 | 2.53 | 715.56 | 1.98 | 0.00 | 1.84 | 0.00 |
time (sec) |
N/A | 0.094 | 0.143 | 4.064 | 2.480 | 0.295 | 0.000 | 0.394 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 131 | 364 | 15722 | 281 | 0 | 220 | 0 |
N.S. |
1 | 1.00 | 1.03 | 2.87 | 123.80 | 2.21 | 0.00 | 1.73 | 0.00 |
time (sec) |
N/A | 0.397 | 0.417 | 5.186 | 0.841 | 0.345 | 0.000 | 0.863 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 141 | 860 | 47933 | 339 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 5.06 | 281.96 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 0.770 | 5.953 | 1.751 | 0.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 205 | 1372 | 0 | 361 | 0 | 354 | 0 |
N.S. |
1 | 1.00 | 0.93 | 6.21 | 0.00 | 1.63 | 0.00 | 1.60 | 0.00 |
time (sec) |
N/A | 1.152 | 0.994 | 6.819 | 0.000 | 0.373 | 0.000 | 0.487 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 139 | 467 | 0 | 270 | 0 | 309 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.79 | 0.00 | 1.03 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 1.075 | 1.008 | 5.100 | 0.000 | 0.298 | 0.000 | 10.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 117 | 397 | 0 | 254 | 0 | 263 | 0 |
N.S. |
1 | 1.00 | 0.54 | 1.84 | 0.00 | 1.18 | 0.00 | 1.22 | 0.00 |
time (sec) |
N/A | 0.727 | 0.709 | 4.461 | 0.000 | 0.332 | 0.000 | 5.930 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 100 | 327 | 0 | 237 | 0 | 236 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.93 | 0.00 | 1.40 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.482 | 0.486 | 4.474 | 0.000 | 0.343 | 0.000 | 3.200 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 87 | 292 | 0 | 223 | 0 | 206 | 0 |
N.S. |
1 | 1.00 | 0.69 | 2.32 | 0.00 | 1.77 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.277 | 0.382 | 4.318 | 0.000 | 0.313 | 0.000 | 1.380 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 80 | 292 | 0 | 223 | 0 | 194 | 0 |
N.S. |
1 | 1.00 | 0.63 | 2.32 | 0.00 | 1.77 | 0.00 | 1.54 | 0.00 |
time (sec) |
N/A | 0.173 | 0.321 | 4.235 | 0.000 | 0.315 | 0.000 | 0.752 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 126 | 430 | 84333 | 339 | 0 | 252 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.62 | 514.23 | 2.07 | 0.00 | 1.54 | 0.00 |
time (sec) |
N/A | 0.745 | 1.040 | 5.787 | 15.383 | 0.366 | 0.000 | 3.036 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 142 | 925 | 0 | 404 | 0 | 335 | 0 |
N.S. |
1 | 1.00 | 0.69 | 4.47 | 0.00 | 1.95 | 0.00 | 1.62 | 0.00 |
time (sec) |
N/A | 1.197 | 2.256 | 6.608 | 0.000 | 0.375 | 0.000 | 0.813 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 178 | 1438 | 0 | 428 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 5.45 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.105 | 4.018 | 7.575 | 0.000 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 914 | 411 | 0 | 193 | 0 | 0 | 177 |
N.S. |
1 | 1.00 | 5.75 | 2.58 | 0.00 | 1.21 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.242 | 6.998 | 13.836 | 0.000 | 0.141 | 0.000 | 0.000 | 1.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 872 | 383 | 0 | 179 | 0 | 0 | 166 |
N.S. |
1 | 1.00 | 6.61 | 2.90 | 0.00 | 1.36 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 0.228 | 6.853 | 10.972 | 0.000 | 0.125 | 0.000 | 0.000 | 0.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 363 | 355 | 0 | 161 | 0 | 0 | 128 |
N.S. |
1 | 1.00 | 3.59 | 3.51 | 0.00 | 1.59 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.185 | 5.462 | 8.569 | 0.000 | 0.107 | 0.000 | 0.000 | 0.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 309 | 321 | 0 | 142 | 0 | 0 | 79 |
N.S. |
1 | 1.00 | 4.41 | 4.59 | 0.00 | 2.03 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.208 | 4.624 | 6.461 | 0.000 | 0.113 | 0.000 | 0.000 | 0.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 256 | 242 | 0 | 173 | 0 | 0 | 90 |
N.S. |
1 | 1.00 | 3.88 | 3.67 | 0.00 | 2.62 | 0.00 | 0.00 | 1.36 |
time (sec) |
N/A | 0.231 | 4.324 | 5.780 | 0.000 | 0.122 | 0.000 | 0.000 | 1.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 293 | 399 | 0 | 196 | 0 | 0 | 150 |
N.S. |
1 | 1.00 | 3.08 | 4.20 | 0.00 | 2.06 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.292 | 6.205 | 7.309 | 0.000 | 0.106 | 0.000 | 0.000 | 1.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 865 | 634 | 0 | 219 | 0 | 0 | 177 |
N.S. |
1 | 1.00 | 6.55 | 4.80 | 0.00 | 1.66 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.294 | 6.805 | 10.376 | 0.000 | 0.130 | 0.000 | 0.000 | 1.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 944 | 413 | 0 | 223 | 0 | 0 | 266 |
N.S. |
1 | 1.00 | 4.87 | 2.13 | 0.00 | 1.15 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.520 | 6.565 | 13.625 | 0.000 | 0.122 | 0.000 | 0.000 | 1.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 898 | 385 | 0 | 203 | 0 | 0 | 231 |
N.S. |
1 | 1.00 | 5.58 | 2.39 | 0.00 | 1.26 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.335 | 6.544 | 11.960 | 0.000 | 0.124 | 0.000 | 0.000 | 1.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 369 | 357 | 0 | 179 | 0 | 0 | 153 |
N.S. |
1 | 1.00 | 2.93 | 2.83 | 0.00 | 1.42 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.309 | 6.144 | 8.463 | 0.000 | 0.123 | 0.000 | 0.000 | 1.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 623 | 244 | 0 | 198 | 0 | 0 | 134 |
N.S. |
1 | 1.00 | 5.28 | 2.07 | 0.00 | 1.68 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.308 | 7.365 | 7.375 | 0.000 | 0.123 | 0.000 | 0.000 | 1.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 311 | 513 | 0 | 210 | 0 | 0 | 196 |
N.S. |
1 | 1.00 | 2.59 | 4.28 | 0.00 | 1.75 | 0.00 | 0.00 | 1.63 |
time (sec) |
N/A | 0.332 | 6.310 | 7.327 | 0.000 | 0.115 | 0.000 | 0.000 | 1.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 883 | 714 | 0 | 239 | 0 | 0 | 229 |
N.S. |
1 | 1.00 | 5.55 | 4.49 | 0.00 | 1.50 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.356 | 7.893 | 10.220 | 0.000 | 0.123 | 0.000 | 0.000 | 2.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 925 | 824 | 0 | 263 | 0 | 0 | 235 |
N.S. |
1 | 1.00 | 4.77 | 4.25 | 0.00 | 1.36 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.405 | 8.182 | 13.635 | 0.000 | 0.113 | 0.000 | 0.000 | 2.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 990 | 441 | 0 | 243 | 0 | 0 | 360 |
N.S. |
1 | 1.00 | 4.18 | 1.86 | 0.00 | 1.03 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.720 | 6.680 | 16.941 | 0.000 | 0.123 | 0.000 | 0.000 | 1.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 944 | 413 | 0 | 223 | 0 | 0 | 323 |
N.S. |
1 | 1.00 | 4.63 | 2.02 | 0.00 | 1.09 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.670 | 6.619 | 13.125 | 0.000 | 0.108 | 0.000 | 0.000 | 1.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 898 | 385 | 0 | 203 | 0 | 0 | 255 |
N.S. |
1 | 1.00 | 5.25 | 2.25 | 0.00 | 1.19 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.596 | 7.630 | 11.546 | 0.000 | 0.116 | 0.000 | 0.000 | 1.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 888 | 337 | 0 | 229 | 0 | 0 | 229 |
N.S. |
1 | 1.00 | 5.25 | 1.99 | 0.00 | 1.36 | 0.00 | 0.00 | 1.36 |
time (sec) |
N/A | 0.466 | 7.743 | 9.076 | 0.000 | 0.130 | 0.000 | 0.000 | 1.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 879 | 654 | 0 | 223 | 0 | 0 | 251 |
N.S. |
1 | 1.00 | 5.46 | 4.06 | 0.00 | 1.39 | 0.00 | 0.00 | 1.56 |
time (sec) |
N/A | 0.500 | 7.953 | 9.469 | 0.000 | 0.128 | 0.000 | 0.000 | 1.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 890 | 916 | 0 | 243 | 0 | 0 | 287 |
N.S. |
1 | 1.00 | 5.20 | 5.36 | 0.00 | 1.42 | 0.00 | 0.00 | 1.68 |
time (sec) |
N/A | 0.511 | 8.450 | 11.998 | 0.000 | 0.131 | 0.000 | 0.000 | 2.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 925 | 902 | 0 | 263 | 0 | 0 | 307 |
N.S. |
1 | 1.00 | 4.53 | 4.42 | 0.00 | 1.29 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.537 | 8.883 | 13.761 | 0.000 | 0.126 | 0.000 | 0.000 | 2.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 967 | 1151 | 0 | 283 | 0 | 0 | 552 |
N.S. |
1 | 1.00 | 4.08 | 4.86 | 0.00 | 1.19 | 0.00 | 0.00 | 2.33 |
time (sec) |
N/A | 0.674 | 9.712 | 18.177 | 0.000 | 0.115 | 0.000 | 0.000 | 3.290 |
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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 946 | 281 | 0 | 269 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.06 | 1.80 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 7.418 | 6.043 | 0.000 | 0.126 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 893 | 262 | 0 | 250 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.26 | 2.13 | 0.00 | 2.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.264 | 7.064 | 5.016 | 0.000 | 0.111 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 862 | 244 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 10.14 | 2.87 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 6.910 | 4.190 | 0.000 | 0.121 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 858 | 243 | 0 | 241 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 10.34 | 2.93 | 0.00 | 2.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 7.274 | 3.110 | 0.000 | 0.119 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 894 | 319 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.51 | 2.68 | 0.00 | 2.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 7.619 | 4.175 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 931 | 466 | 0 | 320 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.08 | 3.05 | 0.00 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 8.029 | 5.486 | 0.000 | 0.125 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 1024 | 465 | 0 | 383 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.04 | 2.29 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 7.799 | 8.276 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 980 | 435 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.90 | 2.62 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 7.527 | 7.706 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 945 | 421 | 0 | 352 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.95 | 3.10 | 0.00 | 2.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 7.264 | 5.200 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 694 | 350 | 0 | 314 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.74 | 2.89 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 7.046 | 4.584 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 695 | 350 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.74 | 2.89 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 7.660 | 3.987 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 979 | 494 | 0 | 407 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.83 | 2.94 | 0.00 | 2.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.524 | 7.748 | 4.276 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 1020 | 723 | 0 | 436 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.07 | 3.60 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.406 | 8.102 | 6.472 | 0.000 | 0.110 | 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 | 254 | 254 | 482 | 493 | 0 | 495 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.90 | 1.94 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.578 | 5.265 | 15.764 | 0.000 | 0.158 | 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 | 219 | 219 | 441 | 465 | 0 | 478 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.01 | 2.12 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 4.100 | 15.413 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 400 | 451 | 0 | 467 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.13 | 2.40 | 0.00 | 2.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.574 | 3.052 | 15.039 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 845 | 451 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.69 | 2.51 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.722 | 6.475 | 5.330 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 664 | 451 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.73 | 2.53 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.755 | 6.346 | 5.433 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 1029 | 451 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.65 | 2.48 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 7.866 | 5.203 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 1069 | 685 | 0 | 521 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.84 | 3.10 | 0.00 | 2.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 7.921 | 5.097 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 1110 | 876 | 0 | 548 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.37 | 3.45 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.591 | 8.361 | 6.065 | 0.000 | 0.131 | 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 | 221 | 221 | 135 | 348 | 8220 | 151 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.57 | 37.19 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 0.677 | 15.005 | 0.825 | 0.390 | 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 | 176 | 176 | 118 | 276 | 2981 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.57 | 16.94 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.555 | 0.364 | 14.315 | 0.649 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 100 | 206 | 1851 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.57 | 14.13 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 0.201 | 15.518 | 0.538 | 0.400 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 83 | 141 | 939 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 1.81 | 12.04 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.109 | 18.239 | 0.462 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 86 | 116 | 245 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.13 | 1.53 | 3.22 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.119 | 7.563 | 0.392 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 57 | 62 | 289 | 67 | 0 | 0 | 112 |
N.S. |
1 | 1.00 | 0.67 | 0.73 | 3.40 | 0.79 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.193 | 0.100 | 7.331 | 0.347 | 0.288 | 0.000 | 0.000 | 1.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 78 | 86 | 428 | 86 | 0 | 0 | 194 |
N.S. |
1 | 1.00 | 0.60 | 0.66 | 3.29 | 0.66 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.295 | 0.175 | 7.384 | 0.342 | 0.303 | 0.000 | 0.000 | 3.441 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 102 | 108 | 522 | 104 | 0 | 136951 | 479 |
N.S. |
1 | 1.00 | 0.58 | 0.62 | 2.98 | 0.59 | 0.00 | 782.58 | 2.74 |
time (sec) |
N/A | 0.457 | 0.270 | 7.376 | 0.353 | 0.291 | 0.000 | 237.662 | 6.435 |
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 | 227 | 227 | 136 | 349 | 8904 | 162 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.54 | 39.22 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.849 | 0.741 | 15.596 | 0.932 | 0.392 | 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 | 180 | 180 | 119 | 277 | 3023 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 1.54 | 16.79 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.524 | 0.433 | 15.192 | 0.658 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 101 | 207 | 1884 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.56 | 14.17 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.243 | 18.612 | 0.550 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 107 | 189 | 1801 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.50 | 14.29 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 0.223 | 18.348 | 0.537 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 106 | 188 | 1124 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.50 | 8.99 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.259 | 7.799 | 0.448 | 0.321 | 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(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 80 | 87 | 344 | 88 | 0 | 0 | 195 |
N.S. |
1 | 1.00 | 0.60 | 0.65 | 2.57 | 0.66 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.538 | 0.209 | 7.443 | 0.338 | 0.337 | 0.000 | 0.000 | 3.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 102 | 109 | 481 | 107 | 0 | 147871 | 236 |
N.S. |
1 | 1.00 | 0.56 | 0.60 | 2.66 | 0.59 | 0.00 | 816.97 | 1.30 |
time (sec) |
N/A | 0.716 | 0.311 | 7.655 | 0.337 | 0.288 | 0.000 | 260.783 | 7.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 124 | 131 | 573 | 126 | 0 | 0 | 289 |
N.S. |
1 | 1.00 | 0.54 | 0.57 | 2.51 | 0.55 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.873 | 0.395 | 7.777 | 0.353 | 0.296 | 0.000 | 0.000 | 7.453 |
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 | 274 | 274 | 159 | 423 | 10042 | 194 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 1.54 | 36.65 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.825 | 1.265 | 16.231 | 0.965 | 0.377 | 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 | 227 | 227 | 137 | 351 | 9415 | 174 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.55 | 41.48 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.697 | 0.770 | 15.850 | 0.925 | 0.431 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 121 | 279 | 3071 | 154 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.55 | 17.06 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.679 | 0.482 | 20.252 | 0.658 | 0.371 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 126 | 263 | 2080 | 164 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.48 | 11.69 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.862 | 0.453 | 18.326 | 0.540 | 0.342 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 130 | 267 | 2370 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.54 | 13.70 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.656 | 0.464 | 18.648 | 0.557 | 0.345 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 130 | 227 | 1548 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.32 | 9.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.522 | 7.944 | 0.469 | 0.333 | 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) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 104 | 111 | 396 | 114 | 0 | 169051 | 551 |
N.S. |
1 | 1.00 | 0.57 | 0.61 | 2.19 | 0.63 | 0.00 | 933.98 | 3.04 |
time (sec) |
N/A | 0.627 | 0.397 | 8.281 | 0.342 | 0.321 | 0.000 | 244.268 | 7.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 126 | 133 | 533 | 135 | 0 | 0 | 647 |
N.S. |
1 | 1.00 | 0.55 | 0.58 | 2.34 | 0.59 | 0.00 | 0.00 | 2.84 |
time (sec) |
N/A | 0.712 | 0.497 | 7.871 | 0.346 | 0.286 | 0.000 | 0.000 | 8.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 147 | 155 | 626 | 156 | 0 | 0 | 773 |
N.S. |
1 | 1.00 | 0.53 | 0.56 | 2.28 | 0.57 | 0.00 | 0.00 | 2.81 |
time (sec) |
N/A | 0.894 | 0.602 | 7.415 | 0.363 | 0.290 | 0.000 | 0.000 | 7.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 228 | 253 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.33 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.900 | 0.390 | 16.231 | 0.000 | 2.437 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 167 | 188 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.33 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.566 | 0.262 | 16.632 | 0.000 | 1.360 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 82 | 132 | 1221 | 96 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.32 | 12.21 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.099 | 8.207 | 0.972 | 1.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 203 | 199 | 1188 | 143 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.05 | 2.01 | 12.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 1.116 | 7.980 | 0.958 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 627 | 271 | 1485 | 163 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.42 | 1.91 | 10.46 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 6.666 | 7.802 | 0.942 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 1759 | 309 | 1826 | 180 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.41 | 1.65 | 9.76 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 7.242 | 7.205 | 0.966 | 0.327 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 255 | 381 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 1.93 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.776 | 0.878 | 16.219 | 0.000 | 4.055 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 171 | 279 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.92 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.665 | 0.808 | 5.455 | 0.000 | 3.122 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 184 | 213 | 0 | 164 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.72 | 1.99 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.773 | 7.895 | 0.000 | 0.334 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 423 | 353 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.71 | 2.26 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 2.593 | 7.906 | 0.000 | 0.325 | 0.000 | 0.000 | 0.000 |