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 | F | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 179 | 175 | 69 | 0 | 0 | 294 | 1168 | 0 | 0 |
N.S. |
1 | 0.98 | 0.39 | 0.00 | 0.00 | 1.64 | 6.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 0.106 | 0.000 | 0.000 | 0.277 | 4.846 | 0.000 | 0.000 |
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 | 30 | 25 | 25 | 22 | 54 | 103 | 828 | 98 | 36 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 1.80 | 3.43 | 27.60 | 3.27 | 1.20 |
time (sec) |
N/A | 0.154 | 0.025 | 3.778 | 0.222 | 0.280 | 14.623 | 0.275 | 6.783 |
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 | 28 | 25 | 25 | 22 | 54 | 67 | 366 | 21 | 36 |
N.S. |
1 | 0.89 | 0.89 | 0.79 | 1.93 | 2.39 | 13.07 | 0.75 | 1.29 |
time (sec) |
N/A | 0.144 | 0.009 | 3.762 | 0.210 | 0.271 | 2.209 | 0.272 | 6.880 |
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 | 25 | 25 | 31 | 29 | 54 | 41 | 71 | 36 | 21 |
N.S. |
1 | 1.00 | 1.24 | 1.16 | 2.16 | 1.64 | 2.84 | 1.44 | 0.84 |
time (sec) |
N/A | 0.144 | 0.014 | 3.863 | 0.236 | 0.269 | 0.447 | 0.272 | 6.737 |
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 | 28 | 28 | 28 | 27 | 15 | 42 | 26 | 34 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.54 | 1.50 | 0.93 | 1.21 | 1.04 |
time (sec) |
N/A | 0.142 | 0.006 | 3.770 | 0.223 | 0.280 | 0.420 | 0.307 | 6.755 |
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 | 30 | 25 | 25 | 22 | 17 | 69 | 29 | 23 | 26 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 0.57 | 2.30 | 0.97 | 0.77 | 0.87 |
time (sec) |
N/A | 0.143 | 0.008 | 3.990 | 0.219 | 0.296 | 1.324 | 0.280 | 6.655 |
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 | 30 | 25 | 25 | 22 | 17 | 97 | 29 | 23 | 26 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 0.57 | 3.23 | 0.97 | 0.77 | 0.87 |
time (sec) |
N/A | 0.146 | 0.011 | 3.903 | 0.222 | 0.272 | 2.919 | 0.279 | 6.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 25 | 16 | 30 | 9 | 19 | 26 | 13 |
N.S. |
1 | 1.00 | 1.25 | 0.80 | 1.50 | 0.45 | 0.95 | 1.30 | 0.65 |
time (sec) |
N/A | 0.142 | 0.018 | 0.068 | 0.287 | 0.253 | 0.413 | 0.272 | 6.571 |
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 | 20 | 20 | 25 | 24 | 29 | 9 | 20 | 25 | 13 |
N.S. |
1 | 1.00 | 1.25 | 1.20 | 1.45 | 0.45 | 1.00 | 1.25 | 0.65 |
time (sec) |
N/A | 0.139 | 0.009 | 0.031 | 0.285 | 0.275 | 0.428 | 0.272 | 6.491 |
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 | 26 | 26 | 26 | 23 | 6 | 8 | 22 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.23 | 0.31 | 0.85 | 0.58 | 0.54 |
time (sec) |
N/A | 0.136 | 0.007 | 6.366 | 0.275 | 0.266 | 0.399 | 0.285 | 6.936 |
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 | 26 | 26 | 26 | 25 | 6 | 8 | 22 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.23 | 0.31 | 0.85 | 0.58 | 0.54 |
time (sec) |
N/A | 0.133 | 0.007 | 6.355 | 0.277 | 0.265 | 0.412 | 0.281 | 6.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 10 | 6 | 6 | 24 | 23 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.36 | 0.21 | 0.21 | 0.86 | 0.82 | 0.54 |
time (sec) |
N/A | 0.137 | 0.016 | 3.794 | 0.287 | 0.262 | 0.387 | 0.265 | 6.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 25 | 25 | 22 | 108 | 135 | 0 | 851 | 110 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 3.60 | 4.50 | 0.00 | 28.37 | 3.67 |
time (sec) |
N/A | 0.142 | 0.029 | 0.106 | 0.223 | 0.261 | 0.000 | 0.297 | 6.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 25 | 25 | 22 | 66 | 83 | 0 | 408 | 58 |
N.S. |
1 | 0.89 | 0.89 | 0.79 | 2.36 | 2.96 | 0.00 | 14.57 | 2.07 |
time (sec) |
N/A | 0.142 | 0.012 | 0.079 | 0.215 | 0.272 | 0.000 | 0.281 | 6.413 |
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 | 25 | 25 | 25 | 22 | 24 | 44 | 29 | 121 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.96 | 1.76 | 1.16 | 4.84 | 0.88 |
time (sec) |
N/A | 0.140 | 0.006 | 0.081 | 0.212 | 0.262 | 0.680 | 0.266 | 6.477 |
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 | 23 | 23 | 23 | 22 | 27 | 61 | 31 | 23 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.17 | 2.65 | 1.35 | 1.00 | 1.13 |
time (sec) |
N/A | 0.141 | 0.007 | 0.083 | 0.207 | 0.251 | 0.692 | 0.283 | 6.255 |
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 | 30 | 25 | 25 | 22 | 43 | 109 | 32 | 26 | 26 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 1.43 | 3.63 | 1.07 | 0.87 | 0.87 |
time (sec) |
N/A | 0.142 | 0.009 | 0.087 | 0.214 | 0.255 | 1.846 | 0.280 | 6.346 |
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 | 30 | 25 | 25 | 22 | 85 | 151 | 32 | 26 | 26 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 2.83 | 5.03 | 1.07 | 0.87 | 0.87 |
time (sec) |
N/A | 0.145 | 0.013 | 0.086 | 0.214 | 0.259 | 3.996 | 0.288 | 6.376 |
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 | 21 | 21 | 22 | 17 | 27 | 41 | 24 | 17 |
N.S. |
1 | 0.70 | 0.70 | 0.73 | 0.57 | 0.90 | 1.37 | 0.80 | 0.57 |
time (sec) |
N/A | 0.140 | 0.013 | 0.066 | 0.202 | 0.254 | 0.366 | 0.282 | 6.290 |
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 | 19 | 19 | 19 | 18 | 17 | 17 | 37 | 24 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.89 | 0.89 | 1.95 | 1.26 | 0.89 |
time (sec) |
N/A | 0.140 | 0.005 | 0.039 | 0.205 | 0.272 | 0.185 | 0.266 | 5.956 |
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 | 23 | 19 | 19 | 22 | 17 | 21 | 36 | 21 | 22 |
N.S. |
1 | 0.83 | 0.83 | 0.96 | 0.74 | 0.91 | 1.57 | 0.91 | 0.96 |
time (sec) |
N/A | 0.136 | 0.009 | 0.022 | 0.215 | 0.258 | 0.107 | 0.272 | 5.972 |
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 | 25 | 21 | 21 | 22 | 17 | 35 | 39 | 62 | 40 |
N.S. |
1 | 0.84 | 0.84 | 0.88 | 0.68 | 1.40 | 1.56 | 2.48 | 1.60 |
time (sec) |
N/A | 0.138 | 0.012 | 0.024 | 0.194 | 0.264 | 0.195 | 0.272 | 5.883 |
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 | 30 | 21 | 21 | 22 | 17 | 46 | 39 | 114 | 54 |
N.S. |
1 | 0.70 | 0.70 | 0.73 | 0.57 | 1.53 | 1.30 | 3.80 | 1.80 |
time (sec) |
N/A | 0.138 | 0.014 | 0.028 | 0.188 | 0.261 | 0.245 | 0.283 | 5.977 |
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 | 30 | 21 | 21 | 22 | 17 | 57 | 39 | 186 | 26 |
N.S. |
1 | 0.70 | 0.70 | 0.73 | 0.57 | 1.90 | 1.30 | 6.20 | 0.87 |
time (sec) |
N/A | 0.143 | 0.017 | 0.028 | 0.205 | 0.259 | 0.366 | 0.275 | 5.995 |
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 | 30 | 25 | 25 | 22 | 49 | 60 | 29 | 21 | 26 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 1.63 | 2.00 | 0.97 | 0.70 | 0.87 |
time (sec) |
N/A | 0.140 | 0.013 | 0.073 | 0.202 | 0.250 | 4.079 | 0.283 | 6.016 |
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 | 28 | 25 | 25 | 22 | 27 | 36 | 29 | 21 | 24 |
N.S. |
1 | 0.89 | 0.89 | 0.79 | 0.96 | 1.29 | 1.04 | 0.75 | 0.86 |
time (sec) |
N/A | 0.140 | 0.008 | 0.026 | 0.209 | 0.237 | 1.080 | 0.278 | 6.012 |
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 | 28 | 28 | 28 | 27 | 13 | 37 | 32 | 20 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.46 | 1.32 | 1.14 | 0.71 | 0.00 |
time (sec) |
N/A | 0.140 | 0.008 | 0.023 | 0.203 | 0.254 | 0.510 | 0.276 | 0.000 |
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 | 25 | 25 | 32 | 29 | 15 | 48 | 27 | 23 | 42 |
N.S. |
1 | 1.00 | 1.28 | 1.16 | 0.60 | 1.92 | 1.08 | 0.92 | 1.68 |
time (sec) |
N/A | 0.142 | 0.014 | 0.028 | 0.228 | 0.254 | 0.535 | 0.273 | 5.660 |
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 | 30 | 25 | 25 | 22 | 37 | 70 | 27 | 43 | 70 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 1.23 | 2.33 | 0.90 | 1.43 | 2.33 |
time (sec) |
N/A | 0.140 | 0.016 | 0.030 | 0.205 | 0.249 | 0.820 | 0.271 | 5.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 25 | 25 | 22 | 59 | 92 | 27 | 85 | 98 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 1.97 | 3.07 | 0.90 | 2.83 | 3.27 |
time (sec) |
N/A | 0.140 | 0.019 | 0.033 | 0.195 | 0.244 | 1.924 | 0.291 | 5.963 |
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 | 30 | 25 | 25 | 22 | 24 | 93 | 1243 | 52 | 55 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 0.80 | 3.10 | 41.43 | 1.73 | 1.83 |
time (sec) |
N/A | 0.141 | 0.013 | 0.129 | 0.204 | 0.254 | 27.339 | 0.285 | 6.012 |
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 | 28 | 25 | 25 | 22 | 24 | 58 | 333 | 52 | 24 |
N.S. |
1 | 0.89 | 0.89 | 0.79 | 0.86 | 2.07 | 11.89 | 1.86 | 0.86 |
time (sec) |
N/A | 0.141 | 0.009 | 0.041 | 0.201 | 0.241 | 0.829 | 0.282 | 5.715 |
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 | 23 | 23 | 23 | 22 | 24 | 43 | 87 | 50 | 52 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.04 | 1.87 | 3.78 | 2.17 | 2.26 |
time (sec) |
N/A | 0.137 | 0.007 | 0.037 | 0.206 | 0.254 | 0.252 | 0.278 | 5.661 |
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 | 25 | 25 | 25 | 22 | 27 | 79 | 31 | 144 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 1.08 | 3.16 | 1.24 | 5.76 | 1.04 |
time (sec) |
N/A | 0.137 | 0.015 | 0.030 | 0.203 | 0.249 | 0.566 | 0.276 | 5.772 |
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 | 30 | 25 | 25 | 22 | 27 | 112 | 31 | 412 | 110 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 0.90 | 3.73 | 1.03 | 13.73 | 3.67 |
time (sec) |
N/A | 0.141 | 0.021 | 0.032 | 0.205 | 0.245 | 0.830 | 0.292 | 5.901 |
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 | 30 | 25 | 25 | 22 | 27 | 145 | 31 | 840 | 152 |
N.S. |
1 | 0.83 | 0.83 | 0.73 | 0.90 | 4.83 | 1.03 | 28.00 | 5.07 |
time (sec) |
N/A | 0.138 | 0.014 | 0.034 | 0.208 | 0.257 | 1.952 | 0.301 | 6.044 |
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 | 27 | 27 | 34 | 29 | 21 | 37 | 32 | 33 | 0 |
N.S. |
1 | 1.00 | 1.26 | 1.07 | 0.78 | 1.37 | 1.19 | 1.22 | 0.00 |
time (sec) |
N/A | 0.143 | 0.020 | 0.028 | 0.186 | 0.343 | 2.539 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 27 | 34 | 22 | 15 | 17 | 58 | 15 | 0 |
N.S. |
1 | 0.84 | 1.06 | 0.69 | 0.47 | 0.53 | 1.81 | 0.47 | 0.00 |
time (sec) |
N/A | 0.141 | 0.020 | 0.075 | 0.192 | 0.257 | 0.674 | 0.279 | 0.000 |
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 | 27 | 27 | 34 | 29 | 21 | 51 | 32 | 1 | 31 |
N.S. |
1 | 1.00 | 1.26 | 1.07 | 0.78 | 1.89 | 1.19 | 0.04 | 1.15 |
time (sec) |
N/A | 0.142 | 0.024 | 0.028 | 0.187 | 0.333 | 0.956 | 0.320 | 5.851 |
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 | 27 | 34 | 22 | 15 | 15 | 80 | 15 | 42 |
N.S. |
1 | 0.79 | 1.00 | 0.65 | 0.44 | 0.44 | 2.35 | 0.44 | 1.24 |
time (sec) |
N/A | 0.152 | 0.025 | 0.067 | 0.188 | 0.282 | 0.435 | 0.319 | 5.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 77 | 41 | 86 | 86 | 99 | 86 | 86 |
N.S. |
1 | 0.94 | 2.48 | 1.32 | 2.77 | 2.77 | 3.19 | 2.77 | 2.77 |
time (sec) |
N/A | 0.172 | 0.034 | 16.515 | 0.206 | 0.242 | 0.030 | 0.304 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 49 | 172 | 41 | 176 | 176 | 209 | 173 | 162 |
N.S. |
1 | 0.96 | 3.37 | 0.80 | 3.45 | 3.45 | 4.10 | 3.39 | 3.18 |
time (sec) |
N/A | 0.194 | 0.032 | 4.008 | 0.185 | 0.240 | 0.042 | 0.266 | 5.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 49 | 249 | 41 | 284 | 284 | 357 | 288 | 237 |
N.S. |
1 | 1.02 | 5.19 | 0.85 | 5.92 | 5.92 | 7.44 | 6.00 | 4.94 |
time (sec) |
N/A | 0.195 | 0.040 | 3.961 | 0.191 | 0.248 | 0.054 | 0.283 | 5.865 |
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 | 12 | 12 | 12 | 12 | 10 | 11 | 10 | 11 | 10 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.83 | 0.92 | 0.83 | 0.92 | 0.83 |
time (sec) |
N/A | 0.146 | 0.003 | 4.162 | 0.184 | 0.252 | 0.033 | 0.274 | 0.061 |
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 | 13 | 11 | 12 | 12 | 12 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.85 | 0.92 | 0.92 | 0.92 | 1.00 |
time (sec) |
N/A | 0.147 | 0.004 | 6.614 | 0.182 | 0.235 | 0.039 | 0.276 | 5.794 |
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 | 13 | 11 | 22 | 22 | 12 | 11 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.85 | 1.69 | 1.69 | 0.92 | 0.85 |
time (sec) |
N/A | 0.147 | 0.004 | 3.832 | 0.200 | 0.240 | 0.047 | 0.278 | 5.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 85 | 73 | 289 | 300 | 438 | 0 | 264 | 401 |
N.S. |
1 | 0.91 | 0.78 | 3.11 | 3.23 | 4.71 | 0.00 | 2.84 | 4.31 |
time (sec) |
N/A | 0.222 | 0.279 | 4.301 | 0.246 | 0.262 | 0.000 | 0.278 | 6.114 |
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 | 55 | 68 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.247 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 58 | 51 | 91 | 140 | 183 | 0 | 99 | 168 |
N.S. |
1 | 0.94 | 0.82 | 1.47 | 2.26 | 2.95 | 0.00 | 1.60 | 2.71 |
time (sec) |
N/A | 0.205 | 0.219 | 3.997 | 0.240 | 0.241 | 0.000 | 0.276 | 5.859 |
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 | 55 | 68 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.183 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 29 | 28 | 56 | 0 | 38 | 55 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.93 | 1.87 | 0.00 | 1.27 | 1.83 |
time (sec) |
N/A | 0.159 | 0.090 | 4.174 | 0.207 | 0.253 | 0.000 | 0.285 | 5.695 |
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 | 52 | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 0.277 | 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 | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 98 | 104 | 95 | 95 | 107 | 105 | 93 |
N.S. |
1 | 0.94 | 3.16 | 3.35 | 3.06 | 3.06 | 3.45 | 3.39 | 3.00 |
time (sec) |
N/A | 0.173 | 0.015 | 3.864 | 0.220 | 0.249 | 0.026 | 0.270 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 46 | 203 | 234 | 210 | 210 | 252 | 248 | 191 |
N.S. |
1 | 0.90 | 3.98 | 4.59 | 4.12 | 4.12 | 4.94 | 4.86 | 3.75 |
time (sec) |
N/A | 0.187 | 0.028 | 3.978 | 0.188 | 0.241 | 0.045 | 0.275 | 5.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 63 | 323 | 406 | 359 | 359 | 437 | 442 | 309 |
N.S. |
1 | 0.89 | 4.55 | 5.72 | 5.06 | 5.06 | 6.15 | 6.23 | 4.35 |
time (sec) |
N/A | 0.201 | 0.051 | 4.006 | 0.207 | 0.238 | 0.063 | 0.286 | 5.688 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 32 | 102 | 110 | 116 | 116 | 144 | 138 | 113 |
N.S. |
1 | 0.86 | 2.76 | 2.97 | 3.14 | 3.14 | 3.89 | 3.73 | 3.05 |
time (sec) |
N/A | 0.184 | 0.007 | 3.895 | 0.190 | 0.235 | 0.033 | 0.270 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 49 | 207 | 250 | 240 | 240 | 323 | 311 | 221 |
N.S. |
1 | 0.82 | 3.45 | 4.17 | 4.00 | 4.00 | 5.38 | 5.18 | 3.68 |
time (sec) |
N/A | 0.197 | 0.010 | 3.943 | 0.195 | 0.237 | 0.049 | 0.286 | 5.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 66 | 327 | 441 | 398 | 398 | 552 | 544 | 348 |
N.S. |
1 | 0.80 | 3.94 | 5.31 | 4.80 | 4.80 | 6.65 | 6.55 | 4.19 |
time (sec) |
N/A | 0.200 | 0.016 | 3.876 | 0.197 | 0.273 | 0.078 | 0.289 | 5.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 157 | 159 | 92 | 0 | 164 | 46 | 160 | 169 |
N.S. |
1 | 1.01 | 1.02 | 0.59 | 0.00 | 1.05 | 0.29 | 1.03 | 1.08 |
time (sec) |
N/A | 0.310 | 0.055 | 4.002 | 0.000 | 0.253 | 0.175 | 0.298 | 0.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 147 | 142 | 78 | 0 | 135 | 27 | 180 | 158 |
N.S. |
1 | 1.02 | 0.99 | 0.54 | 0.00 | 0.94 | 0.19 | 1.25 | 1.10 |
time (sec) |
N/A | 0.310 | 0.022 | 4.003 | 0.000 | 0.262 | 0.142 | 0.305 | 0.252 |
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 | 22 | 22 | 22 | 21 | 20 | 42 | 42 | 21 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 1.91 | 1.91 | 0.95 | 1.91 |
time (sec) |
N/A | 0.161 | 0.009 | 6.425 | 0.186 | 0.261 | 0.127 | 0.292 | 5.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 136 | 114 | 76 | 0 | 452 | 29 | 141 | 150 |
N.S. |
1 | 0.97 | 0.81 | 0.54 | 0.00 | 3.23 | 0.21 | 1.01 | 1.07 |
time (sec) |
N/A | 0.289 | 0.021 | 0.042 | 0.000 | 0.274 | 0.112 | 0.291 | 5.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 131 | 116 | 71 | 0 | 442 | 26 | 160 | 144 |
N.S. |
1 | 0.94 | 0.83 | 0.51 | 0.00 | 3.16 | 0.19 | 1.14 | 1.03 |
time (sec) |
N/A | 0.274 | 0.014 | 0.044 | 0.000 | 0.285 | 0.113 | 0.291 | 0.264 |
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 | 36 | 37 | 36 | 54 | 56 | 51 | 49 | 58 | 56 |
N.S. |
1 | 1.03 | 1.00 | 1.50 | 1.56 | 1.42 | 1.36 | 1.61 | 1.56 |
time (sec) |
N/A | 0.167 | 0.012 | 6.447 | 0.187 | 0.249 | 0.218 | 0.299 | 5.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 155 | 140 | 86 | 0 | 150 | 44 | 175 | 138 |
N.S. |
1 | 1.01 | 0.91 | 0.56 | 0.00 | 0.97 | 0.29 | 1.14 | 0.90 |
time (sec) |
N/A | 0.309 | 0.050 | 3.982 | 0.000 | 0.261 | 0.283 | 0.286 | 0.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 152 | 139 | 87 | 0 | 236 | 61 | 193 | 201 |
N.S. |
1 | 0.97 | 0.89 | 0.56 | 0.00 | 1.51 | 0.39 | 1.24 | 1.29 |
time (sec) |
N/A | 0.299 | 0.039 | 3.958 | 0.000 | 0.271 | 0.418 | 0.296 | 0.345 |
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 | 56 | 51 | 44 | 75 | 98 | 158 | 100 | 41 | 104 |
N.S. |
1 | 0.91 | 0.79 | 1.34 | 1.75 | 2.82 | 1.79 | 0.73 | 1.86 |
time (sec) |
N/A | 0.199 | 0.026 | 4.048 | 0.194 | 0.282 | 0.643 | 0.316 | 5.699 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 171 | 152 | 141 | 0 | 838 | 109 | 205 | 240 |
N.S. |
1 | 0.99 | 0.88 | 0.82 | 0.00 | 4.87 | 0.63 | 1.19 | 1.40 |
time (sec) |
N/A | 0.318 | 0.095 | 3.837 | 0.000 | 0.298 | 0.557 | 0.299 | 0.384 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 164 | 151 | 124 | 0 | 810 | 92 | 214 | 185 |
N.S. |
1 | 0.96 | 0.89 | 0.73 | 0.00 | 4.76 | 0.54 | 1.26 | 1.09 |
time (sec) |
N/A | 0.305 | 0.072 | 3.897 | 0.000 | 0.285 | 0.510 | 0.338 | 0.315 |
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 | 23 | 23 | 23 | 22 | 21 | 52 | 58 | 21 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 2.26 | 2.52 | 0.91 | 1.87 |
time (sec) |
N/A | 0.164 | 0.015 | 3.867 | 0.200 | 0.269 | 0.497 | 0.292 | 5.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 171 | 152 | 144 | 0 | 852 | 105 | 205 | 216 |
N.S. |
1 | 0.99 | 0.88 | 0.84 | 0.00 | 4.95 | 0.61 | 1.19 | 1.26 |
time (sec) |
N/A | 0.313 | 0.085 | 0.062 | 0.000 | 0.277 | 0.530 | 0.295 | 5.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 164 | 151 | 127 | 0 | 808 | 92 | 214 | 207 |
N.S. |
1 | 0.96 | 0.89 | 0.75 | 0.00 | 4.75 | 0.54 | 1.26 | 1.22 |
time (sec) |
N/A | 0.293 | 0.055 | 0.060 | 0.000 | 0.289 | 0.467 | 0.277 | 5.701 |
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 | 59 | 54 | 48 | 100 | 104 | 169 | 110 | 101 | 105 |
N.S. |
1 | 0.92 | 0.81 | 1.69 | 1.76 | 2.86 | 1.86 | 1.71 | 1.78 |
time (sec) |
N/A | 0.203 | 0.026 | 4.108 | 0.195 | 0.269 | 0.728 | 0.289 | 0.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 190 | 168 | 154 | 0 | 384 | 170 | 204 | 231 |
N.S. |
1 | 1.01 | 0.89 | 0.81 | 0.00 | 2.03 | 0.90 | 1.08 | 1.22 |
time (sec) |
N/A | 0.335 | 0.092 | 4.092 | 0.000 | 0.252 | 0.958 | 0.299 | 6.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 187 | 166 | 140 | 0 | 509 | 199 | 244 | 255 |
N.S. |
1 | 0.99 | 0.88 | 0.74 | 0.00 | 2.69 | 1.05 | 1.29 | 1.35 |
time (sec) |
N/A | 0.332 | 0.075 | 3.781 | 0.000 | 0.271 | 1.269 | 0.291 | 6.239 |
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 | 80 | 71 | 60 | 126 | 222 | 431 | 250 | 65 | 211 |
N.S. |
1 | 0.89 | 0.75 | 1.58 | 2.78 | 5.39 | 3.12 | 0.81 | 2.64 |
time (sec) |
N/A | 0.213 | 0.073 | 4.098 | 0.201 | 0.381 | 1.647 | 0.302 | 6.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 206 | 182 | 214 | 0 | 1706 | 287 | 274 | 399 |
N.S. |
1 | 1.00 | 0.89 | 1.04 | 0.00 | 8.32 | 1.40 | 1.34 | 1.95 |
time (sec) |
N/A | 0.341 | 0.167 | 3.831 | 0.000 | 0.299 | 1.317 | 0.305 | 6.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 197 | 179 | 186 | 0 | 1650 | 260 | 268 | 347 |
N.S. |
1 | 0.98 | 0.89 | 0.93 | 0.00 | 8.21 | 1.29 | 1.33 | 1.73 |
time (sec) |
N/A | 0.330 | 0.111 | 4.014 | 0.000 | 0.304 | 1.274 | 0.304 | 6.013 |
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 | 23 | 23 | 23 | 22 | 21 | 133 | 153 | 21 | 131 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 5.78 | 6.65 | 0.91 | 5.70 |
time (sec) |
N/A | 0.156 | 0.017 | 3.932 | 0.187 | 0.255 | 1.210 | 0.303 | 5.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 206 | 180 | 214 | 0 | 1708 | 296 | 268 | 403 |
N.S. |
1 | 1.02 | 0.89 | 1.06 | 0.00 | 8.46 | 1.47 | 1.33 | 2.00 |
time (sec) |
N/A | 0.339 | 0.107 | 0.089 | 0.000 | 0.285 | 1.236 | 0.292 | 0.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 197 | 176 | 185 | 0 | 1646 | 267 | 264 | 354 |
N.S. |
1 | 0.99 | 0.89 | 0.93 | 0.00 | 8.31 | 1.35 | 1.33 | 1.79 |
time (sec) |
N/A | 0.317 | 0.092 | 0.089 | 0.000 | 0.280 | 1.163 | 0.289 | 5.924 |
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 | 82 | 74 | 63 | 143 | 245 | 467 | 269 | 144 | 230 |
N.S. |
1 | 0.90 | 0.77 | 1.74 | 2.99 | 5.70 | 3.28 | 1.76 | 2.80 |
time (sec) |
N/A | 0.214 | 0.050 | 4.116 | 0.212 | 0.254 | 1.695 | 0.305 | 6.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 225 | 196 | 215 | 0 | 855 | 391 | 223 | 431 |
N.S. |
1 | 1.03 | 0.89 | 0.98 | 0.00 | 3.90 | 1.79 | 1.02 | 1.97 |
time (sec) |
N/A | 0.377 | 0.135 | 3.918 | 0.000 | 0.283 | 2.036 | 0.299 | 6.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 222 | 192 | 188 | 0 | 1024 | 435 | 365 | 520 |
N.S. |
1 | 1.01 | 0.88 | 0.86 | 0.00 | 4.68 | 1.99 | 1.67 | 2.37 |
time (sec) |
N/A | 0.367 | 0.165 | 3.907 | 0.000 | 0.310 | 2.499 | 0.314 | 7.033 |
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 | 101 | 92 | 80 | 161 | 438 | 889 | 500 | 80 | 438 |
N.S. |
1 | 0.91 | 0.79 | 1.59 | 4.34 | 8.80 | 4.95 | 0.79 | 4.34 |
time (sec) |
N/A | 0.237 | 0.111 | 3.913 | 0.232 | 0.304 | 2.920 | 0.328 | 7.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 160 | 163 | 96 | 0 | 179 | 66 | 175 | 151 |
N.S. |
1 | 0.95 | 0.97 | 0.57 | 0.00 | 1.07 | 0.39 | 1.04 | 0.90 |
time (sec) |
N/A | 0.313 | 0.028 | 3.870 | 0.000 | 0.255 | 0.188 | 0.306 | 0.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 150 | 145 | 82 | 0 | 147 | 44 | 192 | 162 |
N.S. |
1 | 0.96 | 0.93 | 0.53 | 0.00 | 0.94 | 0.28 | 1.23 | 1.04 |
time (sec) |
N/A | 0.311 | 0.014 | 3.902 | 0.000 | 0.299 | 0.154 | 0.299 | 5.792 |
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 | 25 | 25 | 25 | 46 | 45 | 45 | 46 | 46 | 45 |
N.S. |
1 | 1.00 | 1.00 | 1.84 | 1.80 | 1.80 | 1.84 | 1.84 | 1.80 |
time (sec) |
N/A | 0.163 | 0.009 | 4.012 | 0.194 | 0.278 | 0.137 | 0.289 | 5.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 137 | 115 | 77 | 0 | 458 | 41 | 150 | 127 |
N.S. |
1 | 0.96 | 0.80 | 0.54 | 0.00 | 3.20 | 0.29 | 1.05 | 0.89 |
time (sec) |
N/A | 0.292 | 0.009 | 0.050 | 0.000 | 0.281 | 0.125 | 0.319 | 0.407 |
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 | 40 | 42 | 57 | 62 | 54 | 53 | 64 | 62 |
N.S. |
1 | 0.95 | 1.00 | 1.36 | 1.48 | 1.29 | 1.26 | 1.52 | 1.48 |
time (sec) |
N/A | 0.174 | 0.013 | 6.447 | 0.196 | 0.269 | 0.246 | 0.276 | 0.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 158 | 143 | 96 | 0 | 156 | 54 | 229 | 154 |
N.S. |
1 | 0.95 | 0.86 | 0.58 | 0.00 | 0.94 | 0.33 | 1.38 | 0.93 |
time (sec) |
N/A | 0.313 | 0.053 | 4.123 | 0.000 | 0.251 | 0.306 | 0.308 | 5.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 155 | 142 | 91 | 0 | 245 | 75 | 199 | 200 |
N.S. |
1 | 0.92 | 0.85 | 0.54 | 0.00 | 1.46 | 0.45 | 1.18 | 1.19 |
time (sec) |
N/A | 0.309 | 0.041 | 4.376 | 0.000 | 0.272 | 0.472 | 0.302 | 0.425 |
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 | 65 | 54 | 47 | 79 | 116 | 170 | 121 | 85 | 118 |
N.S. |
1 | 0.83 | 0.72 | 1.22 | 1.78 | 2.62 | 1.86 | 1.31 | 1.82 |
time (sec) |
N/A | 0.202 | 0.026 | 3.964 | 0.211 | 0.299 | 0.696 | 0.290 | 5.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 174 | 155 | 145 | 0 | 940 | 133 | 224 | 266 |
N.S. |
1 | 0.95 | 0.84 | 0.79 | 0.00 | 5.11 | 0.72 | 1.22 | 1.45 |
time (sec) |
N/A | 0.315 | 0.089 | 3.868 | 0.000 | 0.284 | 0.604 | 0.315 | 6.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 167 | 154 | 128 | 0 | 906 | 112 | 230 | 194 |
N.S. |
1 | 0.92 | 0.85 | 0.70 | 0.00 | 4.98 | 0.62 | 1.26 | 1.07 |
time (sec) |
N/A | 0.308 | 0.027 | 3.904 | 0.000 | 0.286 | 0.544 | 0.332 | 0.351 |
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 | 26 | 26 | 26 | 47 | 55 | 55 | 60 | 46 | 46 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 2.12 | 2.12 | 2.31 | 1.77 | 1.77 |
time (sec) |
N/A | 0.162 | 0.012 | 4.044 | 0.208 | 0.239 | 0.507 | 0.287 | 5.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 172 | 153 | 146 | 0 | 894 | 122 | 218 | 192 |
N.S. |
1 | 0.98 | 0.87 | 0.83 | 0.00 | 5.08 | 0.69 | 1.24 | 1.09 |
time (sec) |
N/A | 0.318 | 0.053 | 0.068 | 0.000 | 0.287 | 0.530 | 0.302 | 0.320 |
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 | 68 | 57 | 51 | 109 | 114 | 173 | 122 | 110 | 116 |
N.S. |
1 | 0.84 | 0.75 | 1.60 | 1.68 | 2.54 | 1.79 | 1.62 | 1.71 |
time (sec) |
N/A | 0.203 | 0.026 | 6.639 | 0.212 | 0.252 | 0.783 | 0.302 | 5.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 193 | 171 | 158 | 0 | 399 | 197 | 270 | 261 |
N.S. |
1 | 0.95 | 0.84 | 0.77 | 0.00 | 1.96 | 0.97 | 1.32 | 1.28 |
time (sec) |
N/A | 0.341 | 0.047 | 3.845 | 0.000 | 0.275 | 1.047 | 0.296 | 6.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 190 | 169 | 144 | 0 | 527 | 233 | 253 | 291 |
N.S. |
1 | 0.93 | 0.83 | 0.71 | 0.00 | 2.58 | 1.14 | 1.24 | 1.43 |
time (sec) |
N/A | 0.332 | 0.057 | 4.044 | 0.000 | 0.280 | 1.357 | 0.311 | 6.656 |