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 | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 257 | 50 | 122 | 0 | 0 | 41 | 0 | 40 |
N.S. |
1 | 1.02 | 0.20 | 0.49 | 0.00 | 0.00 | 0.16 | 0.00 | 0.16 |
time (sec) |
N/A | 0.328 | 9.676 | 4.163 | 0.000 | 0.000 | 0.534 | 0.000 | 5.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 257 | 52 | 120 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.02 | 0.21 | 0.48 | 0.00 | 0.00 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 10.009 | 4.514 | 0.000 | 0.000 | 0.584 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 77 | 17 | 14 | 0 | 32 | 29 | 0 | 12 |
N.S. |
1 | 1.07 | 0.24 | 0.19 | 0.00 | 0.44 | 0.40 | 0.00 | 0.17 |
time (sec) |
N/A | 0.165 | 3.090 | 4.251 | 0.000 | 0.102 | 0.420 | 0.000 | 5.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 46 | 15 | 12 | 0 | 27 | 31 | 0 | 10 |
N.S. |
1 | 1.12 | 0.37 | 0.29 | 0.00 | 0.66 | 0.76 | 0.00 | 0.24 |
time (sec) |
N/A | 0.169 | 3.243 | 4.171 | 0.000 | 0.078 | 0.437 | 0.000 | 5.445 |
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 | 35 | 22 | 19 | 23 | 23 | 42 | 23 | 18 |
N.S. |
1 | 1.13 | 0.71 | 0.61 | 0.74 | 0.74 | 1.35 | 0.74 | 0.58 |
time (sec) |
N/A | 0.172 | 0.017 | 3.988 | 0.188 | 0.330 | 0.134 | 0.303 | 5.524 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 24 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 1.85 | 0.69 | 0.69 |
time (sec) |
N/A | 0.143 | 0.011 | 3.997 | 0.207 | 0.269 | 0.076 | 0.298 | 5.566 |
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 | 40 | 44 | 50 | 30 | 75 | 45 | 51 | 39 | 0 |
N.S. |
1 | 1.10 | 1.25 | 0.75 | 1.88 | 1.12 | 1.28 | 0.98 | 0.00 |
time (sec) |
N/A | 0.163 | 0.114 | 4.042 | 0.268 | 0.242 | 0.812 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 37 | 35 | 28 | 58 | 29 | 88 | 29 | 0 |
N.S. |
1 | 1.06 | 1.00 | 0.80 | 1.66 | 0.83 | 2.51 | 0.83 | 0.00 |
time (sec) |
N/A | 0.161 | 0.075 | 4.045 | 0.194 | 0.251 | 0.890 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 48 | 14 | 0 | 26 | 29 | 0 | 12 |
N.S. |
1 | 1.00 | 0.83 | 0.24 | 0.00 | 0.45 | 0.50 | 0.00 | 0.21 |
time (sec) |
N/A | 0.174 | 2.570 | 4.119 | 0.000 | 0.091 | 0.375 | 0.000 | 5.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 39 | 12 | 0 | 21 | 31 | 0 | 10 |
N.S. |
1 | 1.00 | 1.56 | 0.48 | 0.00 | 0.84 | 1.24 | 0.00 | 0.40 |
time (sec) |
N/A | 0.149 | 2.624 | 4.161 | 0.000 | 0.079 | 0.406 | 0.000 | 5.428 |
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 | 59 | 61 | 39 | 36 | 47 | 35 | 68 | 47 | 36 |
N.S. |
1 | 1.03 | 0.66 | 0.61 | 0.80 | 0.59 | 1.15 | 0.80 | 0.61 |
time (sec) |
N/A | 0.191 | 0.026 | 4.660 | 0.185 | 0.267 | 0.368 | 0.321 | 5.548 |
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 | 38 | 40 | 27 | 24 | 30 | 23 | 42 | 30 | 24 |
N.S. |
1 | 1.05 | 0.71 | 0.63 | 0.79 | 0.61 | 1.11 | 0.79 | 0.63 |
time (sec) |
N/A | 0.181 | 0.020 | 4.307 | 0.196 | 0.258 | 0.244 | 0.320 | 5.590 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 22 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 1.22 | 0.78 | 0.78 |
time (sec) |
N/A | 0.150 | 0.013 | 4.301 | 0.196 | 0.273 | 0.092 | 0.302 | 5.511 |
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 | 27 | 27 | 27 | 20 | 37 | 63 | 22 | 23 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 1.37 | 2.33 | 0.81 | 0.85 | 0.70 |
time (sec) |
N/A | 0.163 | 0.021 | 4.330 | 0.284 | 0.263 | 0.533 | 0.305 | 5.707 |
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 | 50 | 49 | 50 | 43 | 68 | 107 | 46 | 51 | 38 |
N.S. |
1 | 0.98 | 1.00 | 0.86 | 1.36 | 2.14 | 0.92 | 1.02 | 0.76 |
time (sec) |
N/A | 0.178 | 0.045 | 4.292 | 0.283 | 0.285 | 1.188 | 0.289 | 5.918 |
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 | 53 | 57 | 54 | 43 | 81 | 101 | 46 | 44 | 0 |
N.S. |
1 | 1.08 | 1.02 | 0.81 | 1.53 | 1.91 | 0.87 | 0.83 | 0.00 |
time (sec) |
N/A | 0.179 | 0.133 | 4.512 | 0.273 | 0.297 | 1.175 | 0.304 | 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 | 30 | 30 | 31 | 23 | 45 | 63 | 20 | 25 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.77 | 1.50 | 2.10 | 0.67 | 0.83 | 0.00 |
time (sec) |
N/A | 0.156 | 0.206 | 4.506 | 0.347 | 0.260 | 0.507 | 0.311 | 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 | 21 | 21 | 21 | 18 | 17 | 17 | 20 | 31 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.95 | 1.48 | 0.81 |
time (sec) |
N/A | 0.140 | 0.121 | 4.397 | 0.266 | 0.268 | 0.375 | 0.296 | 5.728 |
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 | 31 | 26 | 35 | 27 | 44 | 59 | 25 |
N.S. |
1 | 1.00 | 0.70 | 0.59 | 0.80 | 0.61 | 1.00 | 1.34 | 0.57 |
time (sec) |
N/A | 0.166 | 0.142 | 4.512 | 0.238 | 0.256 | 0.529 | 0.294 | 5.817 |
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 | 68 | 74 | 42 | 39 | 52 | 38 | 298 | 83 | 38 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.76 | 0.56 | 4.38 | 1.22 | 0.56 |
time (sec) |
N/A | 0.197 | 0.178 | 4.941 | 0.216 | 0.287 | 0.821 | 0.308 | 5.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 138 | 79 | 103 | 0 | 56 | 37 | 0 | 0 |
N.S. |
1 | 1.06 | 0.61 | 0.79 | 0.00 | 0.43 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 10.017 | 4.384 | 0.000 | 0.094 | 0.519 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 62 | 91 | 0 | 45 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.84 | 0.00 | 0.42 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 10.024 | 4.328 | 0.000 | 0.076 | 0.462 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 74 | 70 | 0 | 29 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.84 | 0.80 | 0.00 | 0.33 | 0.41 | 0.00 | 0.42 |
time (sec) |
N/A | 0.180 | 10.031 | 4.212 | 0.000 | 0.076 | 0.409 | 0.000 | 5.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 51 | 93 | 0 | 48 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.46 | 0.85 | 0.00 | 0.44 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 10.009 | 4.322 | 0.000 | 0.084 | 0.518 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 140 | 51 | 105 | 0 | 60 | 44 | 0 | 0 |
N.S. |
1 | 1.06 | 0.39 | 0.80 | 0.00 | 0.45 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 10.012 | 4.341 | 0.000 | 0.081 | 0.621 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 273 | 80 | 125 | 0 | 104 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.31 | 0.48 | 0.00 | 0.40 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 10.043 | 4.524 | 0.000 | 0.096 | 0.565 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 243 | 64 | 115 | 0 | 89 | 37 | 0 | 0 |
N.S. |
1 | 1.03 | 0.27 | 0.49 | 0.00 | 0.38 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 10.021 | 4.358 | 0.000 | 0.081 | 0.484 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 213 | 51 | 97 | 0 | 74 | 37 | 0 | 0 |
N.S. |
1 | 1.01 | 0.24 | 0.46 | 0.00 | 0.35 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 10.013 | 4.096 | 0.000 | 0.082 | 0.441 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 238 | 49 | 115 | 0 | 71 | 39 | 0 | 40 |
N.S. |
1 | 1.03 | 0.21 | 0.50 | 0.00 | 0.31 | 0.17 | 0.00 | 0.17 |
time (sec) |
N/A | 0.311 | 10.014 | 4.267 | 0.000 | 0.080 | 0.486 | 0.000 | 5.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 268 | 51 | 123 | 0 | 89 | 44 | 0 | 0 |
N.S. |
1 | 1.03 | 0.20 | 0.47 | 0.00 | 0.34 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 10.013 | 4.437 | 0.000 | 0.085 | 0.564 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 64 | 40 | 37 | 50 | 36 | 70 | 61 | 38 |
N.S. |
1 | 1.03 | 0.65 | 0.60 | 0.81 | 0.58 | 1.13 | 0.98 | 0.61 |
time (sec) |
N/A | 0.192 | 0.044 | 4.547 | 0.188 | 0.267 | 0.356 | 0.300 | 5.498 |
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 | 40 | 42 | 29 | 25 | 32 | 24 | 44 | 32 | 24 |
N.S. |
1 | 1.05 | 0.72 | 0.62 | 0.80 | 0.60 | 1.10 | 0.80 | 0.60 |
time (sec) |
N/A | 0.183 | 0.033 | 4.346 | 0.185 | 0.261 | 0.231 | 0.295 | 5.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 24 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 1.26 | 0.79 | 0.79 |
time (sec) |
N/A | 0.147 | 0.019 | 4.330 | 0.198 | 0.263 | 0.092 | 0.293 | 5.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 21 | 39 | 65 | 53 | 24 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.39 | 2.32 | 1.89 | 0.86 | 0.71 |
time (sec) |
N/A | 0.162 | 0.032 | 4.383 | 0.285 | 0.254 | 0.571 | 0.292 | 6.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 52 | 44 | 71 | 112 | 129 | 54 | 40 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 1.37 | 2.15 | 2.48 | 1.04 | 0.77 |
time (sec) |
N/A | 0.180 | 0.089 | 4.321 | 0.290 | 0.267 | 1.259 | 0.299 | 5.959 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 59 | 61 | 44 | 62 | 116 | 128 | 53 | 0 |
N.S. |
1 | 1.07 | 1.11 | 0.80 | 1.13 | 2.11 | 2.33 | 0.96 | 0.00 |
time (sec) |
N/A | 0.189 | 0.228 | 4.947 | 0.278 | 0.264 | 1.232 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 37 | 24 | 23 | 76 | 53 | 30 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.77 | 0.74 | 2.45 | 1.71 | 0.97 | 0.00 |
time (sec) |
N/A | 0.164 | 0.151 | 4.434 | 0.287 | 0.260 | 0.544 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 18 | 51 | 36 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 0.82 | 2.32 | 1.64 | 0.82 |
time (sec) |
N/A | 0.142 | 0.178 | 4.560 | 0.212 | 0.275 | 0.399 | 0.291 | 5.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 32 | 27 | 36 | 26 | 189 | 68 | 26 |
N.S. |
1 | 1.00 | 0.70 | 0.59 | 0.78 | 0.57 | 4.11 | 1.48 | 0.57 |
time (sec) |
N/A | 0.167 | 0.227 | 4.850 | 0.196 | 0.263 | 0.577 | 0.305 | 5.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 77 | 43 | 40 | 55 | 39 | 609 | 97 | 39 |
N.S. |
1 | 1.08 | 0.61 | 0.56 | 0.77 | 0.55 | 8.58 | 1.37 | 0.55 |
time (sec) |
N/A | 0.201 | 0.278 | 4.946 | 0.191 | 0.264 | 1.411 | 0.306 | 6.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 80 | 98 | 0 | 58 | 39 | 0 | 0 |
N.S. |
1 | 1.08 | 0.80 | 0.98 | 0.00 | 0.58 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 10.028 | 4.283 | 0.000 | 0.108 | 0.541 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 64 | 86 | 0 | 46 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.12 | 0.00 | 0.60 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 10.030 | 4.163 | 0.000 | 0.092 | 0.480 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 72 | 64 | 0 | 26 | 37 | 0 | 38 |
N.S. |
1 | 1.00 | 1.36 | 1.21 | 0.00 | 0.49 | 0.70 | 0.00 | 0.72 |
time (sec) |
N/A | 0.172 | 10.045 | 4.012 | 0.000 | 0.083 | 0.435 | 0.000 | 5.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 88 | 0 | 47 | 42 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 1.11 | 0.00 | 0.59 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 10.014 | 4.243 | 0.000 | 0.084 | 0.582 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 110 | 52 | 100 | 0 | 59 | 46 | 0 | 0 |
N.S. |
1 | 1.08 | 0.51 | 0.98 | 0.00 | 0.58 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 10.015 | 4.554 | 0.000 | 0.084 | 0.630 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 170 | 81 | 117 | 0 | 105 | 39 | 0 | 0 |
N.S. |
1 | 1.08 | 0.51 | 0.74 | 0.00 | 0.66 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 10.052 | 4.509 | 0.000 | 0.092 | 0.589 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 139 | 66 | 107 | 0 | 89 | 39 | 0 | 0 |
N.S. |
1 | 1.03 | 0.49 | 0.79 | 0.00 | 0.66 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 10.022 | 4.319 | 0.000 | 0.083 | 0.505 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 52 | 88 | 0 | 76 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.81 | 0.00 | 0.70 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 10.016 | 4.062 | 0.000 | 0.080 | 0.451 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 135 | 50 | 106 | 0 | 68 | 41 | 0 | 41 |
N.S. |
1 | 1.05 | 0.39 | 0.83 | 0.00 | 0.53 | 0.32 | 0.00 | 0.32 |
time (sec) |
N/A | 0.306 | 10.022 | 4.252 | 0.000 | 0.097 | 0.483 | 0.000 | 5.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 166 | 52 | 115 | 0 | 84 | 39 | 0 | 0 |
N.S. |
1 | 1.05 | 0.33 | 0.73 | 0.00 | 0.53 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.347 | 10.017 | 4.553 | 0.000 | 0.091 | 0.615 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 59 | 38 | 35 | 47 | 46 | 68 | 52 | 41 |
N.S. |
1 | 1.04 | 0.67 | 0.61 | 0.82 | 0.81 | 1.19 | 0.91 | 0.72 |
time (sec) |
N/A | 0.191 | 0.049 | 4.310 | 0.191 | 0.273 | 0.407 | 0.314 | 5.648 |
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 | 38 | 38 | 27 | 24 | 30 | 35 | 41 | 33 | 21 |
N.S. |
1 | 1.00 | 0.71 | 0.63 | 0.79 | 0.92 | 1.08 | 0.87 | 0.55 |
time (sec) |
N/A | 0.173 | 0.044 | 4.274 | 0.189 | 0.269 | 0.269 | 0.295 | 5.612 |
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 | 18 | 18 | 18 | 15 | 14 | 24 | 26 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.33 | 1.44 | 0.78 | 0.78 |
time (sec) |
N/A | 0.141 | 0.023 | 4.287 | 0.193 | 0.255 | 0.106 | 0.288 | 5.559 |
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 | 46 | 46 | 46 | 44 | 52 | 129 | 184 | 41 | 34 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.13 | 2.80 | 4.00 | 0.89 | 0.74 |
time (sec) |
N/A | 0.174 | 0.080 | 4.304 | 0.268 | 0.286 | 0.901 | 0.301 | 5.694 |
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 | 69 | 74 | 60 | 62 | 86 | 173 | 76 | 72 | 53 |
N.S. |
1 | 1.07 | 0.87 | 0.90 | 1.25 | 2.51 | 1.10 | 1.04 | 0.77 |
time (sec) |
N/A | 0.188 | 0.110 | 4.413 | 0.296 | 0.270 | 1.751 | 0.297 | 5.853 |
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 | 74 | 82 | 63 | 61 | 103 | 167 | 75 | 55 | 0 |
N.S. |
1 | 1.11 | 0.85 | 0.82 | 1.39 | 2.26 | 1.01 | 0.74 | 0.00 |
time (sec) |
N/A | 0.204 | 0.324 | 4.869 | 0.301 | 0.284 | 1.759 | 0.309 | 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 | 52 | 51 | 53 | 42 | 63 | 138 | 44 | 43 | 0 |
N.S. |
1 | 0.98 | 1.02 | 0.81 | 1.21 | 2.65 | 0.85 | 0.83 | 0.00 |
time (sec) |
N/A | 0.179 | 0.242 | 4.739 | 0.288 | 0.290 | 0.893 | 0.304 | 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 | 21 | 21 | 21 | 18 | 17 | 26 | 20 | 17 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 1.24 | 0.95 | 0.81 | 0.81 |
time (sec) |
N/A | 0.143 | 0.183 | 4.458 | 0.210 | 0.251 | 0.355 | 0.289 | 5.470 |
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 | 31 | 26 | 36 | 37 | 46 | 53 | 25 |
N.S. |
1 | 1.00 | 0.74 | 0.62 | 0.86 | 0.88 | 1.10 | 1.26 | 0.60 |
time (sec) |
N/A | 0.168 | 0.501 | 4.639 | 0.205 | 0.259 | 0.484 | 0.301 | 5.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 72 | 42 | 37 | 56 | 50 | 233 | 115 | 70 |
N.S. |
1 | 1.06 | 0.62 | 0.54 | 0.82 | 0.74 | 3.43 | 1.69 | 1.03 |
time (sec) |
N/A | 0.196 | 0.378 | 4.807 | 0.202 | 0.268 | 0.773 | 0.311 | 5.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 167 | 79 | 133 | 0 | 88 | 37 | 0 | 0 |
N.S. |
1 | 1.11 | 0.52 | 0.88 | 0.00 | 0.58 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 10.041 | 5.316 | 0.000 | 0.085 | 0.681 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 137 | 66 | 111 | 0 | 75 | 37 | 0 | 0 |
N.S. |
1 | 1.06 | 0.51 | 0.86 | 0.00 | 0.58 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 10.023 | 5.062 | 0.000 | 0.081 | 0.527 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 55 | 94 | 0 | 62 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.87 | 0.00 | 0.57 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 8.306 | 4.140 | 0.000 | 0.080 | 0.455 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 55 | 94 | 0 | 64 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.51 | 0.87 | 0.00 | 0.59 | 0.33 | 0.00 | 0.34 |
time (sec) |
N/A | 0.196 | 7.075 | 4.103 | 0.000 | 0.101 | 0.473 | 0.000 | 6.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 139 | 54 | 113 | 0 | 79 | 41 | 0 | 0 |
N.S. |
1 | 1.06 | 0.41 | 0.86 | 0.00 | 0.60 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 10.014 | 5.092 | 0.000 | 0.091 | 0.561 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 169 | 54 | 135 | 0 | 93 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.35 | 0.88 | 0.00 | 0.61 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 10.026 | 5.193 | 0.000 | 0.084 | 0.734 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 302 | 80 | 157 | 0 | 145 | 37 | 0 | 0 |
N.S. |
1 | 1.07 | 0.28 | 0.56 | 0.00 | 0.51 | 0.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 10.047 | 5.916 | 0.000 | 0.091 | 0.784 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 272 | 66 | 137 | 0 | 131 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.26 | 0.53 | 0.00 | 0.51 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 10.027 | 5.585 | 0.000 | 0.099 | 0.607 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 242 | 57 | 119 | 0 | 113 | 37 | 0 | 0 |
N.S. |
1 | 1.03 | 0.24 | 0.50 | 0.00 | 0.48 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 10.019 | 4.309 | 0.000 | 0.086 | 0.489 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 242 | 54 | 119 | 0 | 98 | 37 | 0 | 0 |
N.S. |
1 | 1.01 | 0.23 | 0.50 | 0.00 | 0.41 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 7.766 | 4.128 | 0.000 | 0.085 | 0.434 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 260 | 267 | 52 | 137 | 0 | 109 | 39 | 0 | 40 |
N.S. |
1 | 1.03 | 0.20 | 0.53 | 0.00 | 0.42 | 0.15 | 0.00 | 0.15 |
time (sec) |
N/A | 0.328 | 10.018 | 4.811 | 0.000 | 0.096 | 0.518 | 0.000 | 5.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 297 | 54 | 157 | 0 | 132 | 44 | 0 | 0 |
N.S. |
1 | 1.05 | 0.19 | 0.56 | 0.00 | 0.47 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.373 | 10.014 | 5.495 | 0.000 | 0.094 | 0.646 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 135 | 72 | 123 | 0 | 101 | 36 | 0 | 37 |
N.S. |
1 | 1.06 | 0.57 | 0.97 | 0.00 | 0.80 | 0.28 | 0.00 | 0.29 |
time (sec) |
N/A | 0.218 | 10.041 | 4.077 | 0.000 | 0.102 | 0.537 | 0.000 | 5.508 |
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 | 48 | 27 | 23 | 34 | 23 | 41 | 41 | 23 |
N.S. |
1 | 1.04 | 0.59 | 0.50 | 0.74 | 0.50 | 0.89 | 0.89 | 0.50 |
time (sec) |
N/A | 0.189 | 0.031 | 4.204 | 0.189 | 0.276 | 0.214 | 0.289 | 5.506 |
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 | 33 | 22 | 17 | 23 | 16 | 24 | 23 | 16 |
N.S. |
1 | 1.06 | 0.71 | 0.55 | 0.74 | 0.52 | 0.77 | 0.74 | 0.52 |
time (sec) |
N/A | 0.172 | 0.022 | 4.066 | 0.189 | 0.276 | 0.120 | 0.284 | 5.515 |
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 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 0.67 | 0.73 | 0.73 |
time (sec) |
N/A | 0.143 | 0.014 | 4.155 | 0.195 | 0.267 | 0.069 | 0.289 | 5.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 29 | 29 | 24 | 31 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 1.81 | 1.81 | 1.50 | 1.94 | 0.75 |
time (sec) |
N/A | 0.152 | 0.026 | 4.362 | 0.203 | 0.263 | 0.510 | 0.283 | 5.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 28 | 43 | 50 | 73 | 45 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 1.23 | 1.43 | 2.09 | 1.29 | 0.77 |
time (sec) |
N/A | 0.161 | 0.053 | 4.256 | 0.187 | 0.268 | 1.051 | 0.288 | 5.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 31 | 27 | 22 | 44 | 33 | 61 | 21 | 0 |
N.S. |
1 | 1.15 | 1.00 | 0.81 | 1.63 | 1.22 | 2.26 | 0.78 | 0.00 |
time (sec) |
N/A | 0.154 | 0.150 | 4.112 | 0.287 | 0.277 | 1.002 | 0.323 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 16 | 18 | 19 | 6 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 2.00 | 2.25 | 2.38 | 0.75 | 2.00 |
time (sec) |
N/A | 0.142 | 0.002 | 4.063 | 0.277 | 0.268 | 0.474 | 0.298 | 0.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 34 | 35 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 1.89 | 1.94 | 0.78 |
time (sec) |
N/A | 0.143 | 0.138 | 4.201 | 0.190 | 0.263 | 0.361 | 0.300 | 5.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 25 | 22 | 29 | 21 | 63 | 73 | 21 |
N.S. |
1 | 1.00 | 0.68 | 0.59 | 0.78 | 0.57 | 1.70 | 1.97 | 0.57 |
time (sec) |
N/A | 0.163 | 0.167 | 4.242 | 0.185 | 0.272 | 0.468 | 0.296 | 5.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 60 | 30 | 27 | 43 | 26 | 104 | 109 | 26 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.78 | 0.47 | 1.89 | 1.98 | 0.47 |
time (sec) |
N/A | 0.186 | 0.187 | 4.249 | 0.199 | 0.263 | 0.672 | 0.285 | 5.540 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 48 | 42 | 15 | 0 | 29 | 31 | 0 | 0 |
N.S. |
1 | 1.12 | 0.98 | 0.35 | 0.00 | 0.67 | 0.72 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 10.021 | 4.644 | 0.000 | 0.090 | 0.453 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 32 | 15 | 0 | 21 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 1.28 | 0.60 | 0.00 | 0.84 | 1.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 10.012 | 4.432 | 0.000 | 0.084 | 0.383 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 12 | 0 | 4 | 29 | 0 | 10 |
N.S. |
1 | 1.00 | 1.00 | 3.00 | 0.00 | 1.00 | 7.25 | 0.00 | 2.50 |
time (sec) |
N/A | 0.138 | 10.057 | 4.105 | 0.000 | 0.075 | 0.351 | 0.000 | 5.445 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 15 | 0 | 25 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.56 | 0.00 | 0.93 | 1.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.158 | 10.007 | 4.392 | 0.000 | 0.083 | 0.465 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 50 | 20 | 15 | 0 | 33 | 37 | 0 | 0 |
N.S. |
1 | 1.11 | 0.44 | 0.33 | 0.00 | 0.73 | 0.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 10.008 | 4.652 | 0.000 | 0.082 | 0.546 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 57 | 43 | 15 | 0 | 47 | 31 | 0 | 0 |
N.S. |
1 | 1.08 | 0.81 | 0.28 | 0.00 | 0.89 | 0.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 10.028 | 4.738 | 0.000 | 0.080 | 0.503 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 34 | 34 | 15 | 0 | 40 | 31 | 0 | 0 |
N.S. |
1 | 0.97 | 0.97 | 0.43 | 0.00 | 1.14 | 0.89 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 10.018 | 4.450 | 0.000 | 0.092 | 0.438 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 20 | 15 | 0 | 34 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 1.82 | 1.36 | 0.00 | 3.09 | 2.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 10.010 | 4.243 | 0.000 | 0.082 | 0.374 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 18 | 15 | 0 | 28 | 32 | 0 | 13 |
N.S. |
1 | 1.00 | 0.67 | 0.56 | 0.00 | 1.04 | 1.19 | 0.00 | 0.48 |
time (sec) |
N/A | 0.191 | 10.007 | 4.309 | 0.000 | 0.079 | 0.394 | 0.000 | 5.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 50 | 20 | 15 | 0 | 41 | 37 | 0 | 0 |
N.S. |
1 | 0.94 | 0.38 | 0.28 | 0.00 | 0.77 | 0.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 10.009 | 4.470 | 0.000 | 0.084 | 0.491 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 46 | 25 | 22 | 32 | 28 | 54 | 32 | 25 |
N.S. |
1 | 1.10 | 0.60 | 0.52 | 0.76 | 0.67 | 1.29 | 0.76 | 0.60 |
time (sec) |
N/A | 0.178 | 0.038 | 4.119 | 0.191 | 0.244 | 0.302 | 0.285 | 5.823 |
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 | 17 | 23 | 23 | 34 | 23 | 16 |
N.S. |
1 | 1.00 | 0.65 | 0.55 | 0.74 | 0.74 | 1.10 | 0.74 | 0.52 |
time (sec) |
N/A | 0.176 | 0.028 | 4.194 | 0.198 | 0.258 | 0.205 | 0.276 | 5.828 |
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 | 12 | 11 | 18 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 1.20 | 0.67 | 0.73 | 0.73 |
time (sec) |
N/A | 0.147 | 0.017 | 4.320 | 0.184 | 0.273 | 0.157 | 0.278 | 5.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 30 | 25 | 40 | 58 | 228 | 42 | 24 |
N.S. |
1 | 1.00 | 0.94 | 0.78 | 1.25 | 1.81 | 7.12 | 1.31 | 0.75 |
time (sec) |
N/A | 0.167 | 0.048 | 4.154 | 0.187 | 0.264 | 0.794 | 0.418 | 5.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 53 | 41 | 35 | 61 | 78 | 95 | 63 | 38 |
N.S. |
1 | 1.06 | 0.82 | 0.70 | 1.22 | 1.56 | 1.90 | 1.26 | 0.76 |
time (sec) |
N/A | 0.176 | 0.082 | 4.161 | 0.194 | 0.292 | 1.478 | 0.370 | 5.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 49 | 32 | 27 | 60 | 52 | 82 | 33 | 0 |
N.S. |
1 | 1.09 | 0.71 | 0.60 | 1.33 | 1.16 | 1.82 | 0.73 | 0.00 |
time (sec) |
N/A | 0.178 | 0.213 | 4.138 | 0.287 | 0.269 | 1.545 | 0.376 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 26 | 26 | 22 | 31 | 46 | 46 | 28 | 0 |
N.S. |
1 | 0.96 | 0.96 | 0.81 | 1.15 | 1.70 | 1.70 | 1.04 | 0.00 |
time (sec) |
N/A | 0.160 | 0.172 | 4.179 | 0.303 | 0.290 | 0.773 | 0.301 | 0.000 |