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 | F(-2) | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 103 | 87 | 79 | 0 | 205 | 214 | 81 | 0 |
N.S. |
1 | 1.01 | 0.85 | 0.77 | 0.00 | 2.01 | 2.10 | 0.79 | 0.00 |
time (sec) |
N/A | 0.270 | 0.700 | 1.101 | 0.000 | 0.287 | 0.384 | 0.313 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 204 | 491 | 0 | 1079 | 0 | 851 | 0 |
N.S. |
1 | 1.00 | 2.49 | 5.99 | 0.00 | 13.16 | 0.00 | 10.38 | 0.00 |
time (sec) |
N/A | 0.239 | 0.407 | 1.000 | 0.000 | 0.481 | 0.000 | 0.963 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 189 | 307 | 0 | 813 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.86 | 4.65 | 0.00 | 12.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 0.394 | 0.931 | 0.000 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 1333 | 827 | 0 | 1544 | 0 | 1170 | 0 |
N.S. |
1 | 1.00 | 10.33 | 6.41 | 0.00 | 11.97 | 0.00 | 9.07 | 0.00 |
time (sec) |
N/A | 0.295 | 3.017 | 1.006 | 0.000 | 0.604 | 0.000 | 0.880 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 243 | 940 | 1868 | 0 | 3818 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 4.20 | 8.34 | 0.00 | 17.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.578 | 14.808 | 1.322 | 0.000 | 2.887 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 374 | 3382 | 3649 | 0 | 8134 | 0 | 30280 | 0 |
N.S. |
1 | 1.14 | 10.31 | 11.12 | 0.00 | 24.80 | 0.00 | 92.32 | 0.00 |
time (sec) |
N/A | 1.089 | 16.443 | 1.949 | 0.000 | 11.832 | 0.000 | 4.506 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 1420 | 1352 | 0 | 2005 | 0 | 1305 | 0 |
N.S. |
1 | 1.00 | 8.77 | 8.35 | 0.00 | 12.38 | 0.00 | 8.06 | 0.00 |
time (sec) |
N/A | 0.364 | 2.116 | 1.184 | 0.000 | 0.989 | 0.000 | 1.063 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 39 | 27 | 0 | 38 | 0 | 52 | 0 |
N.S. |
1 | 1.00 | 1.39 | 0.96 | 0.00 | 1.36 | 0.00 | 1.86 | 0.00 |
time (sec) |
N/A | 0.161 | 0.166 | 1.121 | 0.000 | 0.267 | 0.000 | 0.275 | 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 | 136 | 136 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.146 | 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 | 200 | 200 | 172 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 0.402 | 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 | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 48 | 30 | 41 | 16 | 0 | 22 | 0 | 49 | 0 |
N.S. |
1 | 0.62 | 0.85 | 0.33 | 0.00 | 0.46 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.157 | 0.072 | 0.485 | 0.000 | 0.294 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 75 | 62 | 63 | 0 | 82 | 0 | 143 | 0 |
N.S. |
1 | 1.07 | 0.89 | 0.90 | 0.00 | 1.17 | 0.00 | 2.04 | 0.00 |
time (sec) |
N/A | 0.227 | 0.173 | 0.617 | 0.000 | 0.328 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 1077 | 1077 | 600 | 721 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.219 | 4.027 | 5.287 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 99 | 75 | 322 | 0 | 161 | 0 | 171 | 0 |
N.S. |
1 | 1.01 | 0.77 | 3.29 | 0.00 | 1.64 | 0.00 | 1.74 | 0.00 |
time (sec) |
N/A | 0.470 | 0.162 | 1.145 | 0.000 | 0.296 | 0.000 | 0.303 | 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 | 68 | 68 | 68 | 55 | 54 | 54 | 65 | 54 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.79 | 0.79 | 0.96 | 0.79 | 0.79 |
time (sec) |
N/A | 0.241 | 0.003 | 0.541 | 0.193 | 0.401 | 0.031 | 0.283 | 0.086 |
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 | 56 | 56 | 56 | 45 | 44 | 44 | 53 | 44 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.79 | 0.79 | 0.95 | 0.79 | 0.79 |
time (sec) |
N/A | 0.231 | 0.002 | 0.515 | 0.196 | 0.369 | 0.028 | 0.294 | 0.034 |
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 | 44 | 44 | 44 | 35 | 34 | 34 | 41 | 34 | 34 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.93 | 0.77 | 0.77 |
time (sec) |
N/A | 0.211 | 0.002 | 0.525 | 0.210 | 0.340 | 0.025 | 0.279 | 0.026 |
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 | 30 | 30 | 30 | 25 | 24 | 24 | 26 | 24 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.80 | 0.80 | 0.87 | 0.80 | 0.80 |
time (sec) |
N/A | 0.186 | 0.002 | 0.052 | 0.198 | 0.342 | 0.021 | 0.276 | 0.022 |
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 | 42 | 42 | 42 | 34 | 33 | 33 | 49 | 33 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.79 | 0.79 | 1.17 | 0.79 | 0.83 |
time (sec) |
N/A | 0.211 | 0.013 | 0.688 | 0.286 | 0.348 | 0.059 | 0.279 | 12.427 |
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 | 43 | 43 | 43 | 34 | 36 | 45 | 42 | 36 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.84 | 1.05 | 0.98 | 0.84 | 0.81 |
time (sec) |
N/A | 0.198 | 0.013 | 0.633 | 0.274 | 0.279 | 0.067 | 0.283 | 12.489 |
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 | 64 | 69 | 53 | 47 | 56 | 75 | 63 | 46 | 55 |
N.S. |
1 | 1.08 | 0.83 | 0.73 | 0.88 | 1.17 | 0.98 | 0.72 | 0.86 |
time (sec) |
N/A | 0.212 | 0.038 | 0.633 | 0.276 | 0.359 | 0.079 | 0.282 | 0.053 |
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 | 80 | 80 | 80 | 65 | 64 | 64 | 76 | 64 | 64 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.80 | 0.80 | 0.95 | 0.80 | 0.80 |
time (sec) |
N/A | 0.257 | 0.003 | 0.578 | 0.228 | 0.362 | 0.034 | 0.263 | 0.110 |
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 | 66 | 66 | 66 | 55 | 54 | 54 | 63 | 54 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.82 | 0.82 | 0.95 | 0.82 | 0.82 |
time (sec) |
N/A | 0.249 | 0.005 | 0.612 | 0.200 | 0.386 | 0.029 | 0.271 | 0.079 |
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 | 54 | 54 | 54 | 45 | 44 | 44 | 51 | 44 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.81 | 0.81 | 0.94 | 0.81 | 0.81 |
time (sec) |
N/A | 0.228 | 0.002 | 0.632 | 0.216 | 0.352 | 0.024 | 0.263 | 0.035 |
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 | 46 | 46 | 46 | 35 | 34 | 34 | 41 | 34 | 34 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.74 | 0.74 | 0.89 | 0.74 | 0.74 |
time (sec) |
N/A | 0.204 | 0.001 | 0.552 | 0.205 | 0.319 | 0.022 | 0.273 | 0.025 |
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 | 56 | 56 | 53 | 44 | 43 | 43 | 63 | 43 | 45 |
N.S. |
1 | 1.00 | 0.95 | 0.79 | 0.77 | 0.77 | 1.12 | 0.77 | 0.80 |
time (sec) |
N/A | 0.208 | 0.015 | 0.710 | 0.283 | 0.312 | 0.065 | 0.279 | 12.295 |
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 | 63 | 66 | 59 | 50 | 52 | 78 | 65 | 52 | 51 |
N.S. |
1 | 1.05 | 0.94 | 0.79 | 0.83 | 1.24 | 1.03 | 0.83 | 0.81 |
time (sec) |
N/A | 0.250 | 0.022 | 0.707 | 0.264 | 0.316 | 0.084 | 0.281 | 0.052 |
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 | 64 | 69 | 53 | 47 | 56 | 75 | 63 | 46 | 55 |
N.S. |
1 | 1.08 | 0.83 | 0.73 | 0.88 | 1.17 | 0.98 | 0.72 | 0.86 |
time (sec) |
N/A | 0.251 | 0.017 | 0.631 | 0.276 | 0.422 | 0.080 | 0.269 | 12.438 |
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 | 85 | 95 | 63 | 57 | 76 | 105 | 83 | 56 | 75 |
N.S. |
1 | 1.12 | 0.74 | 0.67 | 0.89 | 1.24 | 0.98 | 0.66 | 0.88 |
time (sec) |
N/A | 0.277 | 0.035 | 0.717 | 0.273 | 0.413 | 0.094 | 0.275 | 12.441 |
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 | 96 | 96 | 96 | 75 | 74 | 74 | 92 | 74 | 74 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 0.77 | 0.77 | 0.96 | 0.77 | 0.77 |
time (sec) |
N/A | 0.297 | 0.004 | 0.615 | 0.186 | 0.371 | 0.038 | 0.280 | 0.145 |
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 | 82 | 82 | 82 | 65 | 64 | 64 | 78 | 64 | 64 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.78 | 0.78 | 0.95 | 0.78 | 0.78 |
time (sec) |
N/A | 0.252 | 0.005 | 0.635 | 0.185 | 0.362 | 0.028 | 0.278 | 0.105 |
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 | 68 | 68 | 68 | 55 | 54 | 54 | 65 | 54 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.79 | 0.79 | 0.96 | 0.79 | 0.79 |
time (sec) |
N/A | 0.247 | 0.005 | 0.613 | 0.201 | 0.361 | 0.026 | 0.279 | 0.079 |
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 | 56 | 56 | 56 | 45 | 44 | 44 | 53 | 44 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.79 | 0.79 | 0.95 | 0.79 | 0.79 |
time (sec) |
N/A | 0.227 | 0.001 | 0.557 | 0.205 | 0.353 | 0.026 | 0.275 | 0.035 |
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 | 70 | 70 | 63 | 54 | 53 | 53 | 76 | 53 | 55 |
N.S. |
1 | 1.00 | 0.90 | 0.77 | 0.76 | 0.76 | 1.09 | 0.76 | 0.79 |
time (sec) |
N/A | 0.226 | 0.016 | 0.702 | 0.267 | 0.339 | 0.072 | 0.284 | 0.045 |
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 | 77 | 78 | 77 | 60 | 62 | 88 | 78 | 62 | 61 |
N.S. |
1 | 1.01 | 1.00 | 0.78 | 0.81 | 1.14 | 1.01 | 0.81 | 0.79 |
time (sec) |
N/A | 0.274 | 0.019 | 0.704 | 0.267 | 0.592 | 0.082 | 0.267 | 0.044 |
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 | 84 | 92 | 78 | 63 | 72 | 118 | 85 | 62 | 71 |
N.S. |
1 | 1.10 | 0.93 | 0.75 | 0.86 | 1.40 | 1.01 | 0.74 | 0.85 |
time (sec) |
N/A | 0.318 | 0.025 | 0.713 | 0.275 | 0.257 | 0.092 | 0.277 | 0.052 |
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 | 84 | 84 | 72 | 64 | 63 | 63 | 87 | 63 | 65 |
N.S. |
1 | 1.00 | 0.86 | 0.76 | 0.75 | 0.75 | 1.04 | 0.75 | 0.77 |
time (sec) |
N/A | 0.236 | 0.023 | 1.056 | 0.266 | 0.264 | 0.072 | 0.277 | 12.425 |
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 | 70 | 70 | 63 | 54 | 53 | 53 | 73 | 53 | 55 |
N.S. |
1 | 1.00 | 0.90 | 0.77 | 0.76 | 0.76 | 1.04 | 0.76 | 0.79 |
time (sec) |
N/A | 0.218 | 0.017 | 0.711 | 0.270 | 0.255 | 0.067 | 0.269 | 12.373 |
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 | 56 | 56 | 52 | 44 | 43 | 43 | 60 | 43 | 45 |
N.S. |
1 | 1.00 | 0.93 | 0.79 | 0.77 | 0.77 | 1.07 | 0.77 | 0.80 |
time (sec) |
N/A | 0.218 | 0.015 | 0.648 | 0.265 | 0.262 | 0.071 | 0.267 | 12.381 |
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 | 42 | 42 | 42 | 34 | 33 | 33 | 46 | 33 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.79 | 0.79 | 1.10 | 0.79 | 0.83 |
time (sec) |
N/A | 0.199 | 0.009 | 0.648 | 0.288 | 0.265 | 0.067 | 0.274 | 0.041 |
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 | 73 | 79 | 73 | 60 | 59 | 59 | 83 | 59 | 79 |
N.S. |
1 | 1.08 | 1.00 | 0.82 | 0.81 | 0.81 | 1.14 | 0.81 | 1.08 |
time (sec) |
N/A | 0.249 | 0.026 | 0.831 | 0.265 | 0.264 | 0.122 | 0.279 | 0.191 |
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 | 94 | 105 | 94 | 76 | 78 | 117 | 102 | 78 | 95 |
N.S. |
1 | 1.12 | 1.00 | 0.81 | 0.83 | 1.24 | 1.09 | 0.83 | 1.01 |
time (sec) |
N/A | 0.335 | 0.055 | 0.835 | 0.264 | 0.285 | 0.166 | 0.268 | 12.608 |
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 | 115 | 131 | 104 | 89 | 98 | 177 | 119 | 88 | 115 |
N.S. |
1 | 1.14 | 0.90 | 0.77 | 0.85 | 1.54 | 1.03 | 0.77 | 1.00 |
time (sec) |
N/A | 0.427 | 0.099 | 0.836 | 0.273 | 0.293 | 0.167 | 0.278 | 0.186 |
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 | 91 | 86 | 91 | 70 | 72 | 98 | 90 | 72 | 72 |
N.S. |
1 | 0.95 | 1.00 | 0.77 | 0.79 | 1.08 | 0.99 | 0.79 | 0.79 |
time (sec) |
N/A | 0.290 | 0.037 | 0.680 | 0.260 | 0.264 | 0.099 | 0.272 | 12.308 |
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 | 77 | 76 | 77 | 60 | 62 | 88 | 75 | 62 | 61 |
N.S. |
1 | 0.99 | 1.00 | 0.78 | 0.81 | 1.14 | 0.97 | 0.81 | 0.79 |
time (sec) |
N/A | 0.287 | 0.022 | 0.629 | 0.259 | 0.263 | 0.090 | 0.281 | 0.043 |
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 | 63 | 64 | 63 | 50 | 52 | 78 | 61 | 52 | 52 |
N.S. |
1 | 1.02 | 1.00 | 0.79 | 0.83 | 1.24 | 0.97 | 0.83 | 0.83 |
time (sec) |
N/A | 0.248 | 0.023 | 0.694 | 0.261 | 0.301 | 0.082 | 0.273 | 12.444 |
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 | 43 | 43 | 43 | 34 | 36 | 45 | 42 | 36 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.84 | 1.05 | 0.98 | 0.84 | 0.84 |
time (sec) |
N/A | 0.184 | 0.011 | 0.650 | 0.259 | 0.271 | 0.071 | 0.280 | 0.041 |
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 | 94 | 105 | 94 | 76 | 78 | 117 | 102 | 78 | 96 |
N.S. |
1 | 1.12 | 1.00 | 0.81 | 0.83 | 1.24 | 1.09 | 0.83 | 1.02 |
time (sec) |
N/A | 0.344 | 0.040 | 0.887 | 0.261 | 0.260 | 0.135 | 0.274 | 12.494 |
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 | 127 | 143 | 106 | 94 | 96 | 167 | 122 | 96 | 115 |
N.S. |
1 | 1.13 | 0.83 | 0.74 | 0.76 | 1.31 | 0.96 | 0.76 | 0.91 |
time (sec) |
N/A | 0.425 | 0.038 | 0.794 | 0.269 | 0.289 | 0.147 | 0.266 | 0.187 |
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 | 148 | 169 | 136 | 106 | 118 | 237 | 143 | 110 | 135 |
N.S. |
1 | 1.14 | 0.92 | 0.72 | 0.80 | 1.60 | 0.97 | 0.74 | 0.91 |
time (sec) |
N/A | 0.535 | 0.043 | 0.834 | 0.259 | 0.306 | 0.172 | 0.277 | 12.589 |
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 | 98 | 106 | 98 | 73 | 82 | 128 | 95 | 72 | 81 |
N.S. |
1 | 1.08 | 1.00 | 0.74 | 0.84 | 1.31 | 0.97 | 0.73 | 0.83 |
time (sec) |
N/A | 0.365 | 0.027 | 0.724 | 0.261 | 0.284 | 0.104 | 0.282 | 0.048 |
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 | 84 | 94 | 84 | 63 | 72 | 118 | 82 | 62 | 72 |
N.S. |
1 | 1.12 | 1.00 | 0.75 | 0.86 | 1.40 | 0.98 | 0.74 | 0.86 |
time (sec) |
N/A | 0.328 | 0.028 | 0.690 | 0.267 | 0.269 | 0.095 | 0.275 | 12.437 |
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 | 64 | 69 | 51 | 47 | 56 | 75 | 63 | 46 | 56 |
N.S. |
1 | 1.08 | 0.80 | 0.73 | 0.88 | 1.17 | 0.98 | 0.72 | 0.88 |
time (sec) |
N/A | 0.252 | 0.022 | 0.702 | 0.269 | 0.293 | 0.076 | 0.279 | 12.428 |
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 | 64 | 69 | 51 | 47 | 56 | 75 | 61 | 46 | 55 |
N.S. |
1 | 1.08 | 0.80 | 0.73 | 0.88 | 1.17 | 0.95 | 0.72 | 0.86 |
time (sec) |
N/A | 0.218 | 0.020 | 0.645 | 0.270 | 0.282 | 0.078 | 0.271 | 0.047 |
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 | 115 | 131 | 99 | 89 | 98 | 177 | 122 | 88 | 116 |
N.S. |
1 | 1.14 | 0.86 | 0.77 | 0.85 | 1.54 | 1.06 | 0.77 | 1.01 |
time (sec) |
N/A | 0.426 | 0.105 | 0.836 | 0.266 | 0.285 | 0.150 | 0.275 | 12.537 |
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 | 160 | 181 | 136 | 106 | 116 | 227 | 143 | 110 | 136 |
N.S. |
1 | 1.13 | 0.85 | 0.66 | 0.72 | 1.42 | 0.89 | 0.69 | 0.85 |
time (sec) |
N/A | 0.550 | 0.072 | 0.838 | 0.263 | 0.283 | 0.178 | 0.270 | 12.493 |
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 | 181 | 207 | 151 | 118 | 138 | 297 | 163 | 116 | 155 |
N.S. |
1 | 1.14 | 0.83 | 0.65 | 0.76 | 1.64 | 0.90 | 0.64 | 0.86 |
time (sec) |
N/A | 0.656 | 0.057 | 0.862 | 0.265 | 0.289 | 0.192 | 0.276 | 0.196 |
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 | 208 | 248 | 95 | 75 | 177 | 98 | 97 | 93 | 221 |
N.S. |
1 | 1.19 | 0.46 | 0.36 | 0.85 | 0.47 | 0.47 | 0.45 | 1.06 |
time (sec) |
N/A | 0.759 | 0.809 | 0.766 | 0.271 | 0.289 | 0.444 | 0.293 | 14.079 |
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 | 166 | 196 | 85 | 65 | 143 | 88 | 83 | 83 | 187 |
N.S. |
1 | 1.18 | 0.51 | 0.39 | 0.86 | 0.53 | 0.50 | 0.50 | 1.13 |
time (sec) |
N/A | 0.532 | 0.589 | 0.737 | 0.271 | 0.279 | 0.399 | 0.280 | 13.656 |
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 | 124 | 144 | 75 | 55 | 109 | 78 | 70 | 73 | 153 |
N.S. |
1 | 1.16 | 0.60 | 0.44 | 0.88 | 0.63 | 0.56 | 0.59 | 1.23 |
time (sec) |
N/A | 0.365 | 0.371 | 0.711 | 0.272 | 0.297 | 0.379 | 0.286 | 13.202 |
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 | 82 | 92 | 65 | 45 | 75 | 68 | 56 | 63 | 119 |
N.S. |
1 | 1.12 | 0.79 | 0.55 | 0.91 | 0.83 | 0.68 | 0.77 | 1.45 |
time (sec) |
N/A | 0.230 | 0.232 | 0.641 | 0.262 | 0.278 | 0.327 | 0.279 | 13.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 174 | 180 | 206 | 484 | 0 | 285 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.18 | 2.78 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 0.220 | 1.405 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 188 | 194 | 419 | 473 | 0 | 336 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 2.23 | 2.52 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 0.491 | 1.918 | 0.000 | 0.331 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 223 | 234 | 392 | 483 | 0 | 396 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.76 | 2.17 | 0.00 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.637 | 0.650 | 2.309 | 0.000 | 0.303 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 276 | 105 | 85 | 206 | 108 | 110 | 103 | 0 |
N.S. |
1 | 1.19 | 0.45 | 0.37 | 0.89 | 0.47 | 0.48 | 0.45 | 0.00 |
time (sec) |
N/A | 0.817 | 1.039 | 0.741 | 0.278 | 0.292 | 0.585 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 224 | 95 | 75 | 172 | 98 | 95 | 93 | 0 |
N.S. |
1 | 1.19 | 0.50 | 0.40 | 0.91 | 0.52 | 0.50 | 0.49 | 0.00 |
time (sec) |
N/A | 0.573 | 0.788 | 0.764 | 0.283 | 0.293 | 0.490 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 172 | 85 | 65 | 138 | 88 | 83 | 83 | 0 |
N.S. |
1 | 1.17 | 0.58 | 0.44 | 0.94 | 0.60 | 0.56 | 0.56 | 0.00 |
time (sec) |
N/A | 0.395 | 0.575 | 0.730 | 0.273 | 0.297 | 0.442 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 120 | 75 | 55 | 104 | 78 | 70 | 73 | 0 |
N.S. |
1 | 1.14 | 0.71 | 0.52 | 0.99 | 0.74 | 0.67 | 0.70 | 0.00 |
time (sec) |
N/A | 0.267 | 0.359 | 0.686 | 0.266 | 0.280 | 0.373 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 197 | 208 | 228 | 590 | 0 | 316 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.16 | 2.99 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.635 | 0.338 | 2.500 | 0.000 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 232 | 248 | 416 | 511 | 0 | 384 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.79 | 2.20 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.775 | 0.508 | 2.395 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 223 | 234 | 572 | 483 | 0 | 396 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 2.57 | 2.17 | 0.00 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 0.828 | 2.810 | 0.000 | 0.296 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 304 | 115 | 95 | 235 | 118 | 124 | 113 | 0 |
N.S. |
1 | 1.20 | 0.45 | 0.37 | 0.93 | 0.46 | 0.49 | 0.44 | 0.00 |
time (sec) |
N/A | 0.862 | 1.313 | 0.839 | 0.287 | 0.300 | 0.896 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 252 | 105 | 85 | 201 | 108 | 110 | 103 | 0 |
N.S. |
1 | 1.19 | 0.50 | 0.40 | 0.95 | 0.51 | 0.52 | 0.49 | 0.00 |
time (sec) |
N/A | 0.609 | 1.007 | 0.767 | 0.271 | 0.281 | 0.698 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 200 | 95 | 75 | 167 | 98 | 95 | 93 | 0 |
N.S. |
1 | 1.18 | 0.56 | 0.44 | 0.98 | 0.58 | 0.56 | 0.55 | 0.00 |
time (sec) |
N/A | 0.428 | 0.770 | 0.754 | 0.268 | 0.273 | 0.587 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 148 | 85 | 65 | 133 | 88 | 83 | 83 | 0 |
N.S. |
1 | 1.16 | 0.66 | 0.51 | 1.04 | 0.69 | 0.65 | 0.65 | 0.00 |
time (sec) |
N/A | 0.289 | 0.547 | 0.701 | 0.275 | 0.270 | 0.481 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 222 | 240 | 238 | 599 | 0 | 322 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.07 | 2.70 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.732 | 0.544 | 3.638 | 0.000 | 0.341 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 255 | 276 | 433 | 522 | 0 | 404 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.70 | 2.05 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.858 | 0.689 | 3.102 | 0.000 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 281 | 288 | 616 | 613 | 0 | 454 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.19 | 2.18 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.894 | 0.886 | 5.005 | 0.000 | 0.375 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 220 | 85 | 65 | 148 | 88 | 83 | 83 | 0 |
N.S. |
1 | 1.19 | 0.46 | 0.35 | 0.80 | 0.48 | 0.45 | 0.45 | 0.00 |
time (sec) |
N/A | 0.753 | 0.657 | 0.732 | 0.271 | 0.275 | 0.430 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 168 | 75 | 55 | 114 | 78 | 70 | 73 | 0 |
N.S. |
1 | 1.17 | 0.52 | 0.38 | 0.80 | 0.55 | 0.49 | 0.51 | 0.00 |
time (sec) |
N/A | 0.500 | 0.446 | 0.727 | 0.272 | 0.405 | 0.380 | 0.361 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 116 | 65 | 45 | 80 | 68 | 56 | 63 | 0 |
N.S. |
1 | 1.15 | 0.64 | 0.45 | 0.79 | 0.67 | 0.55 | 0.62 | 0.00 |
time (sec) |
N/A | 0.333 | 0.287 | 0.743 | 0.273 | 0.317 | 0.384 | 0.371 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 64 | 55 | 35 | 46 | 58 | 42 | 53 | 0 |
N.S. |
1 | 1.08 | 0.93 | 0.59 | 0.78 | 0.98 | 0.71 | 0.90 | 0.00 |
time (sec) |
N/A | 0.210 | 0.148 | 0.727 | 0.267 | 0.295 | 0.332 | 0.362 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 148 | 154 | 135 | 441 | 0 | 265 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.91 | 2.98 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 0.195 | 2.137 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 188 | 194 | 230 | 473 | 0 | 336 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.22 | 2.52 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.524 | 0.365 | 2.824 | 0.000 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 223 | 234 | 396 | 483 | 0 | 396 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.78 | 2.17 | 0.00 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.620 | 0.636 | 3.123 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 192 | 85 | 65 | 148 | 112 | 0 | 82 | 0 |
N.S. |
1 | 1.16 | 0.51 | 0.39 | 0.89 | 0.67 | 0.00 | 0.49 | 0.00 |
time (sec) |
N/A | 0.619 | 0.890 | 0.762 | 0.272 | 0.279 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 137 | 75 | 55 | 114 | 102 | 0 | 72 | 0 |
N.S. |
1 | 1.10 | 0.60 | 0.44 | 0.92 | 0.82 | 0.00 | 0.58 | 0.00 |
time (sec) |
N/A | 0.421 | 0.614 | 0.815 | 0.261 | 0.290 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 90 | 65 | 45 | 80 | 92 | 0 | 62 | 0 |
N.S. |
1 | 1.10 | 0.79 | 0.55 | 0.98 | 1.12 | 0.00 | 0.76 | 0.00 |
time (sec) |
N/A | 0.285 | 0.467 | 0.793 | 0.269 | 0.303 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 55 | 35 | 46 | 82 | 0 | 53 | 87 |
N.S. |
1 | 1.00 | 1.22 | 0.78 | 1.02 | 1.82 | 0.00 | 1.18 | 1.93 |
time (sec) |
N/A | 0.195 | 0.255 | 0.679 | 0.276 | 0.270 | 0.000 | 0.278 | 0.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 176 | 182 | 199 | 460 | 0 | 338 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.13 | 2.61 | 0.00 | 1.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.504 | 0.342 | 2.714 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 222 | 414 | 491 | 0 | 388 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.96 | 2.33 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.627 | 0.679 | 3.168 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 246 | 262 | 607 | 493 | 0 | 458 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 2.47 | 2.00 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.760 | 1.064 | 3.559 | 0.000 | 0.316 | 0.000 | 0.000 | 0.000 |
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 | 147 | 163 | 85 | 65 | 253 | 132 | 0 | 81 | 0 |
N.S. |
1 | 1.11 | 0.58 | 0.44 | 1.72 | 0.90 | 0.00 | 0.55 | 0.00 |
time (sec) |
N/A | 0.517 | 1.043 | 0.690 | 0.273 | 0.281 | 0.000 | 0.276 | 0.000 |
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 | 105 | 116 | 75 | 55 | 219 | 122 | 0 | 72 | 0 |
N.S. |
1 | 1.10 | 0.71 | 0.52 | 2.09 | 1.16 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.364 | 0.774 | 0.797 | 0.270 | 0.292 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 71 | 65 | 45 | 185 | 112 | 0 | 61 | 0 |
N.S. |
1 | 1.04 | 0.96 | 0.66 | 2.72 | 1.65 | 0.00 | 0.90 | 0.00 |
time (sec) |
N/A | 0.259 | 0.562 | 0.733 | 0.282 | 0.291 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 30 | 59 | 51 | 0 | 29 | 29 |
N.S. |
1 | 1.00 | 0.70 | 0.64 | 1.26 | 1.09 | 0.00 | 0.62 | 0.62 |
time (sec) |
N/A | 0.187 | 0.338 | 0.670 | 0.188 | 0.275 | 0.000 | 0.282 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 199 | 212 | 209 | 472 | 0 | 398 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.05 | 2.37 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.604 | 0.637 | 2.639 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 234 | 250 | 416 | 493 | 0 | 448 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.78 | 2.11 | 0.00 | 1.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.742 | 1.067 | 2.961 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 290 | 605 | 511 | 0 | 518 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.25 | 1.90 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.865 | 1.169 | 3.634 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 436 | 383 | 459 | 645 | 0 | 1269 | 1544 | 627 | 1299 |
N.S. |
1 | 0.88 | 1.05 | 1.48 | 0.00 | 2.91 | 3.54 | 1.44 | 2.98 |
time (sec) |
N/A | 0.935 | 5.401 | 1.089 | 0.000 | 0.480 | 0.738 | 0.306 | 15.152 |