Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 6 | 5 | 5 | 2 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 0.40 | 1.00 | 1.00 |
time (sec) |
N/A | 0.142 | 0.000 | 2.679 | 0.192 | 0.372 | 0.025 | 0.292 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 16 | 14 | 29 | 13 | 12 | 29 | 13 |
N.S. |
1 | 1.00 | 1.23 | 1.08 | 2.23 | 1.00 | 0.92 | 2.23 | 1.00 |
time (sec) |
N/A | 0.152 | 0.002 | 2.667 | 0.193 | 0.383 | 0.027 | 0.278 | 0.032 |
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 | 15 | 15 | 15 | 16 | 15 | 15 | 14 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.00 | 0.93 | 1.00 | 1.00 |
time (sec) |
N/A | 0.143 | 0.001 | 2.278 | 0.189 | 0.351 | 0.058 | 0.290 | 9.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 27 | 27 | 31 | 15 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.59 | 1.59 | 1.82 | 0.88 | 1.71 |
time (sec) |
N/A | 0.156 | 0.002 | 2.453 | 0.184 | 0.321 | 0.087 | 0.288 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 39 | 39 | 44 | 15 | 41 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.29 | 2.29 | 2.59 | 0.88 | 2.41 |
time (sec) |
N/A | 0.165 | 0.002 | 2.484 | 0.209 | 0.270 | 0.127 | 0.273 | 9.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 51 | 51 | 58 | 15 | 53 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 3.00 | 3.00 | 3.41 | 0.88 | 3.12 |
time (sec) |
N/A | 0.151 | 0.004 | 2.420 | 0.183 | 0.263 | 0.150 | 0.280 | 9.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 37 | 37 | 46 | 37 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.18 | 2.18 | 2.71 | 2.18 | 2.53 |
time (sec) |
N/A | 0.157 | 0.001 | 2.415 | 0.211 | 0.265 | 0.043 | 0.285 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 26 | 26 | 29 | 26 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.53 | 1.53 | 1.71 | 1.53 | 1.41 |
time (sec) |
N/A | 0.151 | 0.001 | 2.407 | 0.197 | 0.276 | 0.041 | 0.269 | 0.036 |
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 | 17 | 16 | 14 | 15 | 15 | 15 | 15 | 13 |
N.S. |
1 | 1.00 | 0.94 | 0.82 | 0.88 | 0.88 | 0.88 | 0.88 | 0.76 |
time (sec) |
N/A | 0.153 | 0.001 | 2.396 | 0.212 | 0.276 | 0.039 | 0.284 | 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 | 5 | 5 | 5 | 6 | 5 | 5 | 3 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 0.60 | 1.00 | 1.00 |
time (sec) |
N/A | 0.149 | 0.000 | 2.805 | 0.192 | 0.251 | 0.036 | 0.293 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 13 | 13 | 17 | 128 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.31 | 9.85 | 1.00 |
time (sec) |
N/A | 0.152 | 0.001 | 2.419 | 0.203 | 0.408 | 0.034 | 0.286 | 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 | 15 | 15 | 15 | 16 | 19 | 19 | 17 | 15 | 19 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.27 | 1.27 | 1.13 | 1.00 | 1.27 |
time (sec) |
N/A | 0.154 | 0.002 | 2.479 | 0.189 | 0.389 | 0.068 | 0.280 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 30 | 33 | 36 | 29 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.76 | 1.94 | 2.12 | 1.71 | 2.06 |
time (sec) |
N/A | 0.153 | 0.001 | 2.458 | 0.193 | 0.373 | 0.094 | 0.276 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 47 | 47 | 51 | 15 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.76 | 2.76 | 3.00 | 0.88 | 2.88 |
time (sec) |
N/A | 0.146 | 0.001 | 2.415 | 0.189 | 0.359 | 0.119 | 0.269 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 61 | 61 | 66 | 15 | 63 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 3.59 | 3.59 | 3.88 | 0.88 | 3.71 |
time (sec) |
N/A | 0.150 | 0.002 | 2.580 | 0.208 | 0.558 | 0.152 | 0.281 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 75 | 75 | 82 | 15 | 77 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 4.41 | 4.41 | 4.82 | 0.88 | 4.53 |
time (sec) |
N/A | 0.146 | 0.004 | 2.643 | 0.189 | 0.295 | 0.197 | 0.281 | 9.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 37 | 37 | 46 | 37 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.18 | 2.18 | 2.71 | 2.18 | 2.53 |
time (sec) |
N/A | 0.154 | 0.001 | 2.662 | 0.188 | 0.293 | 0.051 | 0.278 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 26 | 26 | 29 | 26 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.53 | 1.53 | 1.71 | 1.53 | 1.41 |
time (sec) |
N/A | 0.157 | 0.001 | 2.989 | 0.192 | 0.279 | 0.053 | 0.275 | 0.037 |
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 | 17 | 16 | 14 | 15 | 15 | 15 | 15 | 13 |
N.S. |
1 | 1.00 | 0.94 | 0.82 | 0.88 | 0.88 | 0.88 | 0.88 | 0.76 |
time (sec) |
N/A | 0.162 | 0.001 | 2.912 | 0.206 | 0.360 | 0.044 | 0.293 | 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 | 5 | 5 | 5 | 6 | 5 | 5 | 3 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 0.60 | 1.00 | 1.00 |
time (sec) |
N/A | 0.141 | 0.001 | 2.607 | 0.190 | 0.318 | 0.039 | 0.278 | 0.008 |
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 | 13 | 13 | 13 | 14 | 13 | 13 | 17 | 14 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.31 | 1.08 | 1.00 |
time (sec) |
N/A | 0.151 | 0.001 | 2.390 | 0.218 | 0.285 | 0.047 | 0.283 | 9.564 |
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 | 15 | 15 | 15 | 16 | 19 | 19 | 17 | 15 | 19 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.27 | 1.27 | 1.13 | 1.00 | 1.27 |
time (sec) |
N/A | 0.149 | 0.002 | 2.356 | 0.201 | 0.364 | 0.075 | 0.270 | 9.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 33 | 33 | 36 | 26 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.94 | 1.94 | 2.12 | 1.53 | 2.06 |
time (sec) |
N/A | 0.149 | 0.002 | 2.493 | 0.202 | 0.348 | 0.098 | 0.280 | 9.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 47 | 47 | 51 | 15 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.76 | 2.76 | 3.00 | 0.88 | 2.88 |
time (sec) |
N/A | 0.151 | 0.002 | 2.430 | 0.192 | 0.336 | 0.125 | 0.271 | 9.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 30 | 61 | 66 | 29 | 63 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.76 | 3.59 | 3.88 | 1.71 | 3.71 |
time (sec) |
N/A | 0.148 | 0.002 | 2.450 | 0.198 | 0.324 | 0.175 | 0.273 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 75 | 75 | 82 | 15 | 77 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 4.41 | 4.41 | 4.82 | 0.88 | 4.53 |
time (sec) |
N/A | 0.143 | 0.002 | 2.739 | 0.193 | 0.350 | 0.184 | 0.268 | 9.674 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 89 | 89 | 97 | 15 | 91 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 5.24 | 5.24 | 5.71 | 0.88 | 5.35 |
time (sec) |
N/A | 0.151 | 0.004 | 2.758 | 0.203 | 0.377 | 0.211 | 0.271 | 9.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 103 | 103 | 112 | 15 | 105 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 6.06 | 6.06 | 6.59 | 0.88 | 6.18 |
time (sec) |
N/A | 0.154 | 0.004 | 2.468 | 0.210 | 0.284 | 0.240 | 0.269 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 24 | 0 | 74 | 187 | 21 | 239 |
N.S. |
1 | 1.00 | 0.79 | 0.71 | 0.00 | 2.18 | 5.50 | 0.62 | 7.03 |
time (sec) |
N/A | 0.166 | 0.012 | 2.441 | 0.000 | 0.285 | 0.139 | 0.274 | 10.319 |
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 | 39 | 38 | 28 | 24 | 0 | 63 | 160 | 21 | 76 |
N.S. |
1 | 0.97 | 0.72 | 0.62 | 0.00 | 1.62 | 4.10 | 0.54 | 1.95 |
time (sec) |
N/A | 0.173 | 0.015 | 2.443 | 0.000 | 0.278 | 0.803 | 0.279 | 10.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 23 | 24 | 30 | 52 | 107 | 21 | 34 |
N.S. |
1 | 1.00 | 0.68 | 0.71 | 0.88 | 1.53 | 3.15 | 0.62 | 1.00 |
time (sec) |
N/A | 0.160 | 0.009 | 2.302 | 0.208 | 0.369 | 0.094 | 0.265 | 10.035 |
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 | 36 | 36 | 31 | 40 | 0 | 41 | 71 | 36 | 33 |
N.S. |
1 | 1.00 | 0.86 | 1.11 | 0.00 | 1.14 | 1.97 | 1.00 | 0.92 |
time (sec) |
N/A | 0.162 | 0.014 | 2.276 | 0.000 | 0.260 | 0.358 | 0.277 | 9.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 17 | 16 | 0 | 31 | 37 | 24 | 15 |
N.S. |
1 | 1.00 | 0.61 | 0.57 | 0.00 | 1.11 | 1.32 | 0.86 | 0.54 |
time (sec) |
N/A | 0.166 | 0.032 | 2.866 | 0.000 | 0.270 | 0.744 | 0.270 | 10.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 41 | 29 | 29 | 0 | 40 | 0 | 20 | 0 |
N.S. |
1 | 1.02 | 0.72 | 0.72 | 0.00 | 1.00 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.175 | 0.008 | 2.970 | 0.000 | 0.386 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 19 | 18 | 0 | 46 | 0 | 21 | 34 |
N.S. |
1 | 1.00 | 0.63 | 0.60 | 0.00 | 1.53 | 0.00 | 0.70 | 1.13 |
time (sec) |
N/A | 0.164 | 0.007 | 2.372 | 0.000 | 0.379 | 0.000 | 0.288 | 9.958 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 38 | 27 | 24 | 0 | 57 | 0 | 21 | 34 |
N.S. |
1 | 0.97 | 0.69 | 0.62 | 0.00 | 1.46 | 0.00 | 0.54 | 0.87 |
time (sec) |
N/A | 0.171 | 0.006 | 2.551 | 0.000 | 0.348 | 0.000 | 0.274 | 9.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 24 | 0 | 68 | 0 | 21 | 34 |
N.S. |
1 | 1.00 | 0.79 | 0.71 | 0.00 | 2.00 | 0.00 | 0.62 | 1.00 |
time (sec) |
N/A | 0.174 | 0.006 | 2.406 | 0.000 | 0.357 | 0.000 | 0.282 | 9.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 38 | 27 | 24 | 0 | 79 | 0 | 21 | 34 |
N.S. |
1 | 0.93 | 0.66 | 0.59 | 0.00 | 1.93 | 0.00 | 0.51 | 0.83 |
time (sec) |
N/A | 0.171 | 0.007 | 2.695 | 0.000 | 0.645 | 0.000 | 0.290 | 9.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 25 | 0 | 103 | 277 | 133 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.74 | 0.00 | 3.03 | 8.15 | 3.91 | 0.00 |
time (sec) |
N/A | 0.166 | 0.018 | 2.247 | 0.000 | 0.276 | 0.291 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 28 | 25 | 0 | 91 | 197 | 90 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.64 | 0.00 | 2.33 | 5.05 | 2.31 | 0.00 |
time (sec) |
N/A | 0.178 | 0.025 | 2.254 | 0.000 | 0.275 | 0.899 | 0.286 | 0.000 |
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 | 34 | 34 | 23 | 25 | 30 | 79 | 194 | 97 | 34 |
N.S. |
1 | 1.00 | 0.68 | 0.74 | 0.88 | 2.32 | 5.71 | 2.85 | 1.00 |
time (sec) |
N/A | 0.160 | 0.014 | 2.549 | 0.195 | 0.266 | 0.171 | 0.290 | 9.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 39 | 25 | 25 | 0 | 67 | 366 | 63 | 36 |
N.S. |
1 | 1.08 | 0.69 | 0.69 | 0.00 | 1.86 | 10.17 | 1.75 | 1.00 |
time (sec) |
N/A | 0.162 | 0.002 | 2.736 | 0.000 | 0.277 | 0.926 | 0.290 | 9.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 25 | 27 | 55 | 39 | 51 | 16 |
N.S. |
1 | 1.00 | 0.65 | 0.81 | 0.87 | 1.77 | 1.26 | 1.65 | 0.52 |
time (sec) |
N/A | 0.164 | 0.003 | 2.433 | 0.203 | 0.288 | 1.167 | 0.288 | 9.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 33 | 40 | 0 | 43 | 73 | 43 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.08 | 0.00 | 1.16 | 1.97 | 1.16 | 0.00 |
time (sec) |
N/A | 0.168 | 0.003 | 2.690 | 0.000 | 0.284 | 1.073 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 18 | 17 | 0 | 32 | 39 | 26 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.59 | 0.00 | 1.10 | 1.34 | 0.90 | 0.00 |
time (sec) |
N/A | 0.161 | 0.042 | 2.486 | 0.000 | 0.265 | 1.476 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 31 | 30 | 0 | 41 | 0 | 20 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.71 | 0.00 | 0.98 | 0.00 | 0.48 | 0.00 |
time (sec) |
N/A | 0.171 | 0.006 | 2.520 | 0.000 | 0.275 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 25 | 25 | 0 | 47 | 0 | 21 | 35 |
N.S. |
1 | 1.00 | 0.78 | 0.78 | 0.00 | 1.47 | 0.00 | 0.66 | 1.09 |
time (sec) |
N/A | 0.163 | 0.009 | 2.638 | 0.000 | 0.390 | 0.000 | 0.282 | 9.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 39 | 27 | 25 | 0 | 58 | 0 | 21 | 35 |
N.S. |
1 | 0.95 | 0.66 | 0.61 | 0.00 | 1.41 | 0.00 | 0.51 | 0.85 |
time (sec) |
N/A | 0.171 | 0.008 | 2.875 | 0.000 | 0.364 | 0.000 | 0.282 | 9.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 25 | 0 | 69 | 0 | 21 | 35 |
N.S. |
1 | 1.00 | 0.79 | 0.74 | 0.00 | 2.03 | 0.00 | 0.62 | 1.03 |
time (sec) |
N/A | 0.168 | 0.008 | 2.777 | 0.000 | 0.412 | 0.000 | 0.274 | 9.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 27 | 0 | 145 | 374 | 189 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.79 | 0.00 | 4.26 | 11.00 | 5.56 | 0.00 |
time (sec) |
N/A | 0.163 | 0.027 | 3.185 | 0.000 | 0.377 | 0.491 | 0.266 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 41 | 28 | 27 | 0 | 131 | 241 | 127 | 0 |
N.S. |
1 | 1.05 | 0.72 | 0.69 | 0.00 | 3.36 | 6.18 | 3.26 | 0.00 |
time (sec) |
N/A | 0.178 | 0.021 | 2.703 | 0.000 | 0.639 | 0.967 | 0.280 | 0.000 |
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 | 34 | 34 | 23 | 27 | 30 | 117 | 287 | 149 | 19 |
N.S. |
1 | 1.00 | 0.68 | 0.79 | 0.88 | 3.44 | 8.44 | 4.38 | 0.56 |
time (sec) |
N/A | 0.160 | 0.020 | 2.561 | 0.196 | 0.304 | 0.358 | 0.274 | 9.974 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 41 | 25 | 27 | 0 | 103 | 828 | 98 | 36 |
N.S. |
1 | 1.14 | 0.69 | 0.75 | 0.00 | 2.86 | 23.00 | 2.72 | 1.00 |
time (sec) |
N/A | 0.158 | 0.002 | 2.557 | 0.000 | 0.271 | 1.475 | 0.276 | 9.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 27 | 27 | 89 | 39 | 87 | 16 |
N.S. |
1 | 1.00 | 0.65 | 0.87 | 0.87 | 2.87 | 1.26 | 2.81 | 0.52 |
time (sec) |
N/A | 0.167 | 0.006 | 2.687 | 0.200 | 0.268 | 1.652 | 0.269 | 9.702 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 41 | 26 | 27 | 35 | 75 | 371 | 89 | 0 |
N.S. |
1 | 1.11 | 0.70 | 0.73 | 0.95 | 2.03 | 10.03 | 2.41 | 0.00 |
time (sec) |
N/A | 0.172 | 0.005 | 2.896 | 0.198 | 0.272 | 1.677 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 21 | 27 | 0 | 61 | 201 | 69 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.84 | 0.00 | 1.91 | 6.28 | 2.16 | 0.00 |
time (sec) |
N/A | 0.162 | 0.003 | 2.957 | 0.000 | 0.275 | 2.077 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 33 | 40 | 0 | 47 | 75 | 49 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.03 | 0.00 | 1.21 | 1.92 | 1.26 | 0.00 |
time (sec) |
N/A | 0.173 | 0.003 | 3.216 | 0.000 | 0.287 | 2.225 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 19 | 0 | 34 | 41 | 30 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.61 | 0.00 | 1.10 | 1.32 | 0.97 | 0.00 |
time (sec) |
N/A | 0.163 | 0.005 | 2.590 | 0.000 | 0.290 | 2.771 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 44 | 31 | 32 | 0 | 43 | 0 | 20 | 0 |
N.S. |
1 | 1.05 | 0.74 | 0.76 | 0.00 | 1.02 | 0.00 | 0.48 | 0.00 |
time (sec) |
N/A | 0.175 | 0.004 | 2.939 | 0.000 | 0.405 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 25 | 27 | 0 | 49 | 0 | 21 | 37 |
N.S. |
1 | 1.00 | 0.78 | 0.84 | 0.00 | 1.53 | 0.00 | 0.66 | 1.16 |
time (sec) |
N/A | 0.161 | 0.013 | 2.922 | 0.000 | 0.367 | 0.000 | 0.288 | 9.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 27 | 27 | 0 | 60 | 0 | 21 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.66 | 0.00 | 1.46 | 0.00 | 0.51 | 0.90 |
time (sec) |
N/A | 0.172 | 0.010 | 3.580 | 0.000 | 0.341 | 0.000 | 0.280 | 9.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 38 | 27 | 24 | 182 | 66 | 219 | 57 | 0 |
N.S. |
1 | 0.97 | 0.69 | 0.62 | 4.67 | 1.69 | 5.62 | 1.46 | 0.00 |
time (sec) |
N/A | 0.162 | 0.011 | 2.561 | 0.212 | 0.425 | 0.908 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 24 | 146 | 55 | 114 | 43 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.71 | 4.29 | 1.62 | 3.35 | 1.26 | 0.00 |
time (sec) |
N/A | 0.157 | 0.007 | 2.776 | 0.231 | 0.344 | 0.209 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 38 | 30 | 38 | 109 | 44 | 138 | 23 | 0 |
N.S. |
1 | 0.97 | 0.77 | 0.97 | 2.79 | 1.13 | 3.54 | 0.59 | 0.00 |
time (sec) |
N/A | 0.162 | 0.004 | 2.978 | 0.201 | 0.284 | 0.791 | 0.276 | 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 | 31 | 31 | 20 | 19 | 29 | 34 | 39 | 13 | 109 |
N.S. |
1 | 1.00 | 0.65 | 0.61 | 0.94 | 1.10 | 1.26 | 0.42 | 3.52 |
time (sec) |
N/A | 0.153 | 0.004 | 2.461 | 0.189 | 0.290 | 0.169 | 0.273 | 10.122 |
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 | 39 | 39 | 28 | 27 | 18 | 42 | 26 | 34 | 29 |
N.S. |
1 | 1.00 | 0.72 | 0.69 | 0.46 | 1.08 | 0.67 | 0.87 | 0.74 |
time (sec) |
N/A | 0.153 | 0.002 | 2.314 | 0.197 | 0.278 | 0.352 | 0.284 | 9.680 |
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 | 29 | 29 | 18 | 17 | 19 | 49 | 41 | 23 | 27 |
N.S. |
1 | 1.00 | 0.62 | 0.59 | 0.66 | 1.69 | 1.41 | 0.79 | 0.93 |
time (sec) |
N/A | 0.157 | 0.010 | 2.430 | 0.193 | 0.269 | 1.214 | 0.274 | 9.707 |
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 | 38 | 38 | 26 | 24 | 33 | 61 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.68 | 0.63 | 0.87 | 1.61 | 0.00 | 0.61 | 0.97 |
time (sec) |
N/A | 0.165 | 0.010 | 2.558 | 0.194 | 0.270 | 0.000 | 0.288 | 9.752 |
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 | 32 | 32 | 21 | 24 | 47 | 73 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.75 | 1.47 | 2.28 | 0.00 | 0.72 | 1.16 |
time (sec) |
N/A | 0.159 | 0.013 | 2.487 | 0.199 | 0.266 | 0.000 | 0.265 | 9.755 |
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 | 39 | 38 | 27 | 24 | 61 | 85 | 0 | 23 | 37 |
N.S. |
1 | 0.97 | 0.69 | 0.62 | 1.56 | 2.18 | 0.00 | 0.59 | 0.95 |
time (sec) |
N/A | 0.165 | 0.010 | 2.967 | 0.205 | 0.278 | 0.000 | 0.284 | 9.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 41 | 33 | 40 | 99 | 48 | 223 | 23 | 0 |
N.S. |
1 | 1.05 | 0.85 | 1.03 | 2.54 | 1.23 | 5.72 | 0.59 | 0.00 |
time (sec) |
N/A | 0.171 | 0.005 | 3.206 | 0.204 | 0.375 | 2.538 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 19 | 64 | 38 | 42 | 13 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.61 | 2.06 | 1.23 | 1.35 | 0.42 | 0.00 |
time (sec) |
N/A | 0.158 | 0.035 | 2.503 | 0.192 | 0.379 | 0.230 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 31 | 30 | 123 | 46 | 27 | 22 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.71 | 2.93 | 1.10 | 0.64 | 0.52 | 0.00 |
time (sec) |
N/A | 0.162 | 0.003 | 2.593 | 0.196 | 0.369 | 1.832 | 0.282 | 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 | 32 | 32 | 21 | 20 | 30 | 55 | 42 | 23 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.62 | 0.94 | 1.72 | 1.31 | 0.72 | 1.16 |
time (sec) |
N/A | 0.152 | 0.007 | 2.379 | 0.201 | 0.347 | 0.205 | 0.284 | 10.051 |
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 | 41 | 41 | 25 | 27 | 18 | 69 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.61 | 0.66 | 0.44 | 1.68 | 0.00 | 0.56 | 0.90 |
time (sec) |
N/A | 0.152 | 0.002 | 2.465 | 0.197 | 0.335 | 0.000 | 0.281 | 9.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 27 | 47 | 83 | 42 | 23 | 37 |
N.S. |
1 | 1.00 | 0.65 | 0.87 | 1.52 | 2.68 | 1.35 | 0.74 | 1.19 |
time (sec) |
N/A | 0.163 | 0.019 | 2.501 | 0.202 | 0.286 | 1.738 | 0.279 | 9.776 |
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 | 38 | 41 | 26 | 27 | 61 | 97 | 0 | 23 | 37 |
N.S. |
1 | 1.08 | 0.68 | 0.71 | 1.61 | 2.55 | 0.00 | 0.61 | 0.97 |
time (sec) |
N/A | 0.173 | 0.017 | 2.498 | 0.187 | 0.287 | 0.000 | 0.279 | 9.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 21 | 27 | 75 | 111 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.84 | 2.34 | 3.47 | 0.00 | 0.72 | 1.16 |
time (sec) |
N/A | 0.158 | 0.026 | 2.665 | 0.194 | 0.283 | 0.000 | 0.275 | 9.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 41 | 33 | 40 | 232 | 48 | 224 | 23 | 0 |
N.S. |
1 | 1.05 | 0.85 | 1.03 | 5.95 | 1.23 | 5.74 | 0.59 | 0.00 |
time (sec) |
N/A | 0.167 | 0.005 | 3.301 | 0.214 | 0.364 | 4.714 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 22 | 197 | 38 | 42 | 13 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.71 | 6.35 | 1.23 | 1.35 | 0.42 | 0.00 |
time (sec) |
N/A | 0.158 | 0.004 | 2.519 | 0.200 | 0.297 | 0.341 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 31 | 30 | 449 | 46 | 29 | 22 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.71 | 10.69 | 1.10 | 0.69 | 0.52 | 0.00 |
time (sec) |
N/A | 0.179 | 0.005 | 2.696 | 0.240 | 0.308 | 3.542 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 21 | 20 | 159 | 55 | 70 | 23 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.62 | 4.97 | 1.72 | 2.19 | 0.72 | 1.16 |
time (sec) |
N/A | 0.164 | 0.011 | 2.508 | 0.204 | 0.291 | 0.317 | 0.277 | 10.000 |
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 | 41 | 41 | 28 | 27 | 124 | 69 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.68 | 0.66 | 3.02 | 1.68 | 0.00 | 0.56 | 0.90 |
time (sec) |
N/A | 0.164 | 0.007 | 2.586 | 0.189 | 0.366 | 0.000 | 0.291 | 9.909 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 27 | 30 | 83 | 124 | 23 | 37 |
N.S. |
1 | 1.00 | 0.88 | 0.79 | 0.88 | 2.44 | 3.65 | 0.68 | 1.09 |
time (sec) |
N/A | 0.153 | 0.008 | 2.393 | 0.200 | 0.330 | 0.439 | 0.292 | 9.732 |
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 | 41 | 41 | 25 | 27 | 18 | 97 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.61 | 0.66 | 0.44 | 2.37 | 0.00 | 0.56 | 0.90 |
time (sec) |
N/A | 0.160 | 0.002 | 2.683 | 0.190 | 0.349 | 0.000 | 0.296 | 9.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 27 | 75 | 111 | 42 | 23 | 37 |
N.S. |
1 | 1.00 | 0.65 | 0.87 | 2.42 | 3.58 | 1.35 | 0.74 | 1.19 |
time (sec) |
N/A | 0.168 | 0.029 | 2.815 | 0.194 | 0.350 | 2.343 | 0.281 | 9.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 41 | 26 | 27 | 89 | 125 | 0 | 23 | 37 |
N.S. |
1 | 1.08 | 0.68 | 0.71 | 2.34 | 3.29 | 0.00 | 0.61 | 0.97 |
time (sec) |
N/A | 0.165 | 0.016 | 2.274 | 0.209 | 0.523 | 0.000 | 0.278 | 9.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 21 | 27 | 103 | 139 | 0 | 23 | 37 |
N.S. |
1 | 1.00 | 0.66 | 0.84 | 3.22 | 4.34 | 0.00 | 0.72 | 1.16 |
time (sec) |
N/A | 0.158 | 0.028 | 2.600 | 0.187 | 0.294 | 0.000 | 0.294 | 9.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 40 | 397 | 85 | 185 | 120 | 106 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 18.90 | 4.05 | 8.81 | 5.71 | 5.05 |
time (sec) |
N/A | 0.155 | 0.007 | 2.622 | 0.205 | 0.301 | 0.548 | 0.292 | 9.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 36 | 137 | 49 | 116 | 70 | 60 |
N.S. |
1 | 1.00 | 1.00 | 1.89 | 7.21 | 2.58 | 6.11 | 3.68 | 3.16 |
time (sec) |
N/A | 0.154 | 0.007 | 2.282 | 0.206 | 0.283 | 0.330 | 0.284 | 9.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 21 | 22 | 27 | 36 | 56 | 0 | 28 |
N.S. |
1 | 1.00 | 0.88 | 0.92 | 1.12 | 1.50 | 2.33 | 0.00 | 1.17 |
time (sec) |
N/A | 0.169 | 0.008 | 2.420 | 0.198 | 0.310 | 0.352 | 0.000 | 9.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 21 | 27 | 65 | 100 | 136 | 0 | 50 |
N.S. |
1 | 1.00 | 0.88 | 1.12 | 2.71 | 4.17 | 5.67 | 0.00 | 2.08 |
time (sec) |
N/A | 0.158 | 0.009 | 3.007 | 0.216 | 0.387 | 0.804 | 0.000 | 9.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 21 | 27 | 99 | 156 | 201 | 0 | 72 |
N.S. |
1 | 1.00 | 0.88 | 1.12 | 4.12 | 6.50 | 8.38 | 0.00 | 3.00 |
time (sec) |
N/A | 0.171 | 0.009 | 2.756 | 0.214 | 0.379 | 1.785 | 0.000 | 9.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 43 | 31 | 41 | 70 | 71 | 0 | 133 | 0 |
N.S. |
1 | 1.02 | 0.74 | 0.98 | 1.67 | 1.69 | 0.00 | 3.17 | 0.00 |
time (sec) |
N/A | 0.180 | 0.020 | 2.536 | 0.206 | 0.409 | 0.000 | 0.287 | 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 | 42 | 42 | 31 | 41 | 42 | 44 | 0 | 27 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.98 | 1.00 | 1.05 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.177 | 0.010 | 2.336 | 0.211 | 0.341 | 0.000 | 0.280 | 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 | 40 | 40 | 29 | 31 | 17 | 45 | 0 | 25 | 48 |
N.S. |
1 | 1.00 | 0.72 | 0.78 | 0.42 | 1.12 | 0.00 | 0.62 | 1.20 |
time (sec) |
N/A | 0.175 | 0.010 | 2.294 | 0.220 | 0.289 | 0.000 | 0.283 | 9.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 48 | 31 | 38 | 51 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.69 | 0.84 | 1.13 | 2.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.016 | 2.468 | 0.217 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 32 | 44 | 43 | 39 | 0 | 62 | 43 |
N.S. |
1 | 1.00 | 0.74 | 1.02 | 1.00 | 0.91 | 0.00 | 1.44 | 1.00 |
time (sec) |
N/A | 0.184 | 0.014 | 2.475 | 0.201 | 0.282 | 0.000 | 0.304 | 9.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 33 | 44 | 29 | 30 | 0 | 63 | 43 |
N.S. |
1 | 1.00 | 0.75 | 1.00 | 0.66 | 0.68 | 0.00 | 1.43 | 0.98 |
time (sec) |
N/A | 0.185 | 0.012 | 2.949 | 0.201 | 0.394 | 0.000 | 0.290 | 9.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 29 | 40 | 313 | 71 | 233 | 57 | 90 |
N.S. |
1 | 1.00 | 0.74 | 1.03 | 8.03 | 1.82 | 5.97 | 1.46 | 2.31 |
time (sec) |
N/A | 0.174 | 0.008 | 2.533 | 0.215 | 0.339 | 0.386 | 0.282 | 9.897 |