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 | 80 | 80 | 74 | 71 | 72 | 188 | 156 | 71 | 62 |
N.S. |
1 | 1.00 | 0.92 | 0.89 | 0.90 | 2.35 | 1.95 | 0.89 | 0.78 |
time (sec) |
N/A | 0.029 | 0.032 | 0.652 | 0.314 | 0.318 | 31.797 | 0.308 | 1.234 |
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 | 59 | 59 | 57 | 55 | 57 | 65 | 97 | 51 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.93 | 0.97 | 1.10 | 1.64 | 0.86 |
time (sec) |
N/A | 0.033 | 0.012 | 0.382 | 0.197 | 0.317 | 0.812 | 0.293 | 1.228 |
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 | 66 | 66 | 62 | 60 | 59 | 152 | 141 | 59 | 50 |
N.S. |
1 | 1.00 | 0.94 | 0.91 | 0.89 | 2.30 | 2.14 | 0.89 | 0.76 |
time (sec) |
N/A | 0.025 | 0.017 | 0.428 | 0.280 | 0.341 | 7.766 | 0.296 | 1.239 |
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 | 35 | 35 | 34 | 37 | 44 | 40 | 51 | 43 | 39 |
N.S. |
1 | 1.00 | 0.97 | 1.06 | 1.26 | 1.14 | 1.46 | 1.23 | 1.11 |
time (sec) |
N/A | 0.018 | 0.007 | 0.452 | 0.205 | 0.311 | 0.293 | 0.275 | 1.295 |
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 | 45 | 45 | 45 | 46 | 45 | 107 | 100 | 41 | 37 |
N.S. |
1 | 1.00 | 1.00 | 1.02 | 1.00 | 2.38 | 2.22 | 0.91 | 0.82 |
time (sec) |
N/A | 0.013 | 0.009 | 0.279 | 0.287 | 0.330 | 2.010 | 0.282 | 1.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 43 | 110 | 80 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 2.50 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 0.007 | 0.227 | 0.199 | 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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 37 | 36 | 105 | 258 | 40 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.82 | 2.39 | 5.86 | 0.91 | 0.82 |
time (sec) |
N/A | 0.013 | 0.008 | 0.305 | 0.275 | 0.311 | 7.755 | 0.315 | 1.246 |
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 | 45 | 45 | 42 | 44 | 43 | 65 | 58 | 41 |
N.S. |
1 | 1.18 | 1.18 | 1.11 | 1.16 | 1.13 | 1.71 | 1.53 | 1.08 |
time (sec) |
N/A | 0.025 | 0.004 | 0.246 | 0.191 | 0.303 | 0.900 | 0.297 | 1.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 49 | 52 | 49 | 135 | 496 | 58 | 46 |
N.S. |
1 | 1.00 | 0.82 | 0.87 | 0.82 | 2.25 | 8.27 | 0.97 | 0.77 |
time (sec) |
N/A | 0.019 | 0.004 | 0.549 | 0.293 | 0.302 | 38.768 | 0.398 | 1.230 |
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 | 64 | 64 | 56 | 54 | 54 | 58 | 83 | 132 | 56 |
N.S. |
1 | 1.00 | 0.88 | 0.84 | 0.84 | 0.91 | 1.30 | 2.06 | 0.88 |
time (sec) |
N/A | 0.034 | 0.028 | 0.416 | 0.205 | 0.304 | 2.630 | 0.305 | 1.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 49 | 61 | 62 | 170 | 583 | 71 | 61 |
N.S. |
1 | 1.00 | 0.66 | 0.82 | 0.84 | 2.30 | 7.88 | 0.96 | 0.82 |
time (sec) |
N/A | 0.023 | 0.004 | 0.941 | 0.281 | 0.321 | 162.331 | 0.296 | 1.323 |
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 | 78 | 78 | 75 | 66 | 69 | 71 | 97 | 191 | 68 |
N.S. |
1 | 1.00 | 0.96 | 0.85 | 0.88 | 0.91 | 1.24 | 2.45 | 0.87 |
time (sec) |
N/A | 0.039 | 0.021 | 0.769 | 0.200 | 0.298 | 6.674 | 0.285 | 1.267 |
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 | 59 | 59 | 57 | 55 | 57 | 65 | 97 | 51 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.93 | 0.97 | 1.10 | 1.64 | 0.86 |
time (sec) |
N/A | 0.033 | 0.012 | 0.784 | 0.198 | 0.285 | 2.421 | 0.280 | 1.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 69 | 139 | 147 | 161 | 0 | 162 | 157 |
N.S. |
1 | 1.00 | 0.43 | 0.87 | 0.92 | 1.01 | 0.00 | 1.02 | 0.99 |
time (sec) |
N/A | 0.091 | 0.004 | 0.870 | 0.288 | 0.301 | 0.000 | 0.332 | 3.705 |
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 | 157 | 157 | 147 | 136 | 144 | 144 | 0 | 160 | 129 |
N.S. |
1 | 1.00 | 0.94 | 0.87 | 0.92 | 0.92 | 0.00 | 1.02 | 0.82 |
time (sec) |
N/A | 0.085 | 0.040 | 0.665 | 0.286 | 0.283 | 0.000 | 0.365 | 3.839 |
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 | 35 | 35 | 34 | 37 | 44 | 40 | 51 | 43 | 39 |
N.S. |
1 | 1.00 | 0.97 | 1.06 | 1.26 | 1.14 | 1.46 | 1.23 | 1.11 |
time (sec) |
N/A | 0.021 | 0.008 | 0.513 | 0.198 | 0.271 | 0.636 | 0.338 | 1.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 53 | 128 | 131 | 150 | 178 | 150 | 121 |
N.S. |
1 | 1.00 | 0.36 | 0.87 | 0.89 | 1.02 | 1.21 | 1.02 | 0.82 |
time (sec) |
N/A | 0.059 | 0.004 | 0.497 | 0.291 | 0.317 | 57.146 | 0.316 | 3.609 |
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 | 133 | 133 | 129 | 122 | 125 | 110 | 165 | 143 | 134 |
N.S. |
1 | 1.00 | 0.97 | 0.92 | 0.94 | 0.83 | 1.24 | 1.08 | 1.01 |
time (sec) |
N/A | 0.054 | 0.027 | 0.388 | 0.279 | 0.331 | 24.860 | 0.297 | 1.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 43 | 55 | 80 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.25 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 0.006 | 0.322 | 0.199 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 47 | 113 | 119 | 126 | 165 | 137 | 149 |
N.S. |
1 | 1.00 | 0.35 | 0.85 | 0.89 | 0.95 | 1.24 | 1.03 | 1.12 |
time (sec) |
N/A | 0.049 | 0.004 | 0.437 | 0.284 | 0.354 | 108.289 | 0.295 | 1.911 |
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 | 139 | 139 | 134 | 113 | 120 | 150 | 0 | 138 | 115 |
N.S. |
1 | 1.00 | 0.96 | 0.81 | 0.86 | 1.08 | 0.00 | 0.99 | 0.83 |
time (sec) |
N/A | 0.048 | 0.024 | 0.494 | 0.282 | 0.331 | 0.000 | 0.296 | 3.803 |
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 | 45 | 45 | 45 | 42 | 44 | 43 | 65 | 58 | 41 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.98 | 0.96 | 1.44 | 1.29 | 0.91 |
time (sec) |
N/A | 0.026 | 0.004 | 0.405 | 0.194 | 0.321 | 1.802 | 0.293 | 1.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 49 | 128 | 127 | 138 | 0 | 153 | 125 |
N.S. |
1 | 1.00 | 0.32 | 0.85 | 0.84 | 0.91 | 0.00 | 1.01 | 0.83 |
time (sec) |
N/A | 0.060 | 0.004 | 0.934 | 0.284 | 0.357 | 0.000 | 0.308 | 3.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 49 | 128 | 128 | 172 | 0 | 149 | 156 |
N.S. |
1 | 1.00 | 0.32 | 0.85 | 0.85 | 1.14 | 0.00 | 0.99 | 1.03 |
time (sec) |
N/A | 0.060 | 0.004 | 1.310 | 0.283 | 0.342 | 0.000 | 0.319 | 3.663 |
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 | 64 | 64 | 56 | 54 | 54 | 58 | 83 | 132 | 56 |
N.S. |
1 | 1.00 | 0.88 | 0.84 | 0.84 | 0.91 | 1.30 | 2.06 | 0.88 |
time (sec) |
N/A | 0.034 | 0.027 | 1.084 | 0.212 | 0.340 | 7.053 | 0.304 | 1.324 |
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 | 89 | 89 | 85 | 74 | 74 | 89 | 100 | 308 | 77 |
N.S. |
1 | 1.00 | 0.96 | 0.83 | 0.83 | 1.00 | 1.12 | 3.46 | 0.87 |
time (sec) |
N/A | 0.035 | 0.037 | 0.398 | 0.192 | 0.295 | 2.513 | 0.322 | 1.277 |
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 | 75 | 75 | 74 | 63 | 64 | 77 | 87 | 257 | 65 |
N.S. |
1 | 1.00 | 0.99 | 0.84 | 0.85 | 1.03 | 1.16 | 3.43 | 0.87 |
time (sec) |
N/A | 0.027 | 0.023 | 0.161 | 0.197 | 0.330 | 1.375 | 0.332 | 1.258 |
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 | 61 | 61 | 62 | 52 | 51 | 64 | 73 | 210 | 53 |
N.S. |
1 | 1.00 | 1.02 | 0.85 | 0.84 | 1.05 | 1.20 | 3.44 | 0.87 |
time (sec) |
N/A | 0.021 | 0.019 | 0.114 | 0.206 | 0.316 | 0.841 | 0.327 | 1.313 |
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 | 47 | 47 | 40 | 41 | 40 | 50 | 60 | 152 | 41 |
N.S. |
1 | 1.00 | 0.85 | 0.87 | 0.85 | 1.06 | 1.28 | 3.23 | 0.87 |
time (sec) |
N/A | 0.014 | 0.014 | 0.098 | 0.203 | 0.363 | 0.519 | 0.311 | 1.293 |
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 | 27 | 27 | 37 | 28 | 27 | 33 | 36 | 96 | 27 |
N.S. |
1 | 1.00 | 1.37 | 1.04 | 1.00 | 1.22 | 1.33 | 3.56 | 1.00 |
time (sec) |
N/A | 0.006 | 0.003 | 0.072 | 0.204 | 0.360 | 0.290 | 0.337 | 1.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 41 | 67 | 83 | 0 | 0 | 152 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.68 | 2.08 | 0.00 | 0.00 | 3.80 | 0.00 |
time (sec) |
N/A | 0.024 | 0.004 | 0.117 | 0.199 | 0.000 | 0.000 | 0.408 | 0.000 |
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 | 30 | 30 | 37 | 50 | 36 | 37 | 63 | 40 |
N.S. |
1 | 1.00 | 1.00 | 1.23 | 1.67 | 1.20 | 1.23 | 2.10 | 1.33 |
time (sec) |
N/A | 0.015 | 0.006 | 0.269 | 0.193 | 0.309 | 0.464 | 0.306 | 1.772 |
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 | 59 | 59 | 59 | 63 | 63 | 55 | 61 | 150 | 53 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.07 | 0.93 | 1.03 | 2.54 | 0.90 |
time (sec) |
N/A | 0.023 | 0.012 | 0.140 | 0.186 | 0.312 | 0.800 | 0.308 | 1.420 |
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 | 73 | 73 | 73 | 75 | 74 | 66 | 75 | 234 | 65 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 1.01 | 0.90 | 1.03 | 3.21 | 0.89 |
time (sec) |
N/A | 0.033 | 0.016 | 0.185 | 0.189 | 0.340 | 1.033 | 0.320 | 1.475 |
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 | 87 | 87 | 87 | 85 | 85 | 79 | 88 | 317 | 78 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.98 | 0.91 | 1.01 | 3.64 | 0.90 |
time (sec) |
N/A | 0.039 | 0.018 | 0.247 | 0.196 | 0.332 | 1.523 | 0.308 | 1.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 49 | 60 | 59 | 178 | 148 | 75 | 56 |
N.S. |
1 | 1.00 | 0.68 | 0.83 | 0.82 | 2.47 | 2.06 | 1.04 | 0.78 |
time (sec) |
N/A | 0.026 | 0.006 | 0.670 | 0.274 | 0.309 | 32.991 | 0.306 | 1.366 |
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 | 51 | 51 | 56 | 46 | 44 | 56 | 66 | 59 | 45 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.86 | 1.10 | 1.29 | 1.16 | 0.88 |
time (sec) |
N/A | 0.024 | 0.015 | 0.253 | 0.192 | 0.287 | 1.281 | 0.331 | 1.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 47 | 49 | 48 | 141 | 133 | 63 | 44 |
N.S. |
1 | 1.00 | 0.81 | 0.84 | 0.83 | 2.43 | 2.29 | 1.09 | 0.76 |
time (sec) |
N/A | 0.018 | 0.003 | 0.265 | 0.273 | 0.301 | 11.200 | 0.299 | 1.335 |
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 | 37 | 37 | 45 | 34 | 33 | 42 | 53 | 47 | 33 |
N.S. |
1 | 1.00 | 1.22 | 0.92 | 0.89 | 1.14 | 1.43 | 1.27 | 0.89 |
time (sec) |
N/A | 0.010 | 0.004 | 0.125 | 0.194 | 0.324 | 0.593 | 0.293 | 1.339 |
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 | 41 | 41 | 43 | 34 | 33 | 107 | 95 | 42 | 33 |
N.S. |
1 | 1.00 | 1.05 | 0.83 | 0.80 | 2.61 | 2.32 | 1.02 | 0.80 |
time (sec) |
N/A | 0.010 | 0.007 | 0.128 | 0.277 | 0.345 | 3.582 | 0.299 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 45 | 126 | 89 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 2.86 | 2.02 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.027 | 0.004 | 0.098 | 0.189 | 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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 52 | 52 | 49 | 119 | 97 | 54 | 42 |
N.S. |
1 | 1.00 | 1.04 | 1.04 | 0.98 | 2.38 | 1.94 | 1.08 | 0.84 |
time (sec) |
N/A | 0.019 | 0.011 | 0.196 | 0.282 | 0.306 | 8.310 | 0.304 | 1.439 |
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 | 35 | 35 | 34 | 37 | 54 | 41 | 53 | 57 | 47 |
N.S. |
1 | 1.00 | 0.97 | 1.06 | 1.54 | 1.17 | 1.51 | 1.63 | 1.34 |
time (sec) |
N/A | 0.020 | 0.007 | 0.410 | 0.208 | 0.269 | 0.802 | 0.298 | 1.387 |
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 | 68 | 70 | 61 | 62 | 154 | 138 | 73 | 55 |
N.S. |
1 | 1.00 | 1.03 | 0.90 | 0.91 | 2.26 | 2.03 | 1.07 | 0.81 |
time (sec) |
N/A | 0.024 | 0.017 | 0.434 | 0.281 | 0.353 | 24.503 | 0.371 | 1.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 34 | 9 | 35 | 11 | 8 | 110 | 8 |
N.S. |
1 | 1.00 | 4.25 | 1.12 | 4.38 | 1.38 | 1.00 | 13.75 | 1.00 |
time (sec) |
N/A | 0.005 | 0.006 | 0.286 | 0.200 | 0.317 | 1.517 | 0.446 | 1.445 |
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 | 153 | 153 | 133 | 121 | 120 | 129 | 146 | 339 | 121 |
N.S. |
1 | 1.00 | 0.87 | 0.79 | 0.78 | 0.84 | 0.95 | 2.22 | 0.79 |
time (sec) |
N/A | 0.081 | 0.084 | 0.519 | 0.195 | 0.324 | 12.254 | 0.301 | 1.382 |
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 | 123 | 123 | 112 | 99 | 98 | 105 | 119 | 255 | 97 |
N.S. |
1 | 1.00 | 0.91 | 0.80 | 0.80 | 0.85 | 0.97 | 2.07 | 0.79 |
time (sec) |
N/A | 0.057 | 0.038 | 0.395 | 0.204 | 0.333 | 3.255 | 0.283 | 1.331 |
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 | 93 | 93 | 88 | 77 | 76 | 80 | 92 | 171 | 73 |
N.S. |
1 | 1.00 | 0.95 | 0.83 | 0.82 | 0.86 | 0.99 | 1.84 | 0.78 |
time (sec) |
N/A | 0.040 | 0.025 | 0.357 | 0.210 | 0.301 | 1.026 | 0.345 | 1.404 |
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 | 53 | 53 | 53 | 52 | 50 | 51 | 61 | 97 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.94 | 0.96 | 1.15 | 1.83 | 0.89 |
time (sec) |
N/A | 0.020 | 0.018 | 0.254 | 0.196 | 0.295 | 0.507 | 0.294 | 0.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 47 | 58 | 79 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.26 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.004 | 0.358 | 0.200 | 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 | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 55 | 54 | 53 | 55 | 352 | 132 | 49 |
N.S. |
1 | 1.00 | 0.87 | 0.86 | 0.84 | 0.87 | 5.59 | 2.10 | 0.78 |
time (sec) |
N/A | 0.031 | 0.029 | 0.252 | 0.201 | 0.325 | 10.997 | 0.308 | 1.749 |
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 | 100 | 100 | 90 | 77 | 76 | 84 | 435 | 232 | 72 |
N.S. |
1 | 1.00 | 0.90 | 0.77 | 0.76 | 0.84 | 4.35 | 2.32 | 0.72 |
time (sec) |
N/A | 0.040 | 0.032 | 0.230 | 0.201 | 0.343 | 90.875 | 0.305 | 1.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 114 | 99 | 98 | 109 | 0 | 324 | 97 |
N.S. |
1 | 1.00 | 0.88 | 0.76 | 0.75 | 0.84 | 0.00 | 2.49 | 0.75 |
time (sec) |
N/A | 0.053 | 0.042 | 0.259 | 0.197 | 0.341 | 0.000 | 0.307 | 1.746 |
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 | 32 | 32 | 33 | 32 | 31 | 28 | 156 | 31 | 33 |
N.S. |
1 | 1.00 | 1.03 | 1.00 | 0.97 | 0.88 | 4.88 | 0.97 | 1.03 |
time (sec) |
N/A | 0.012 | 0.009 | 0.210 | 0.194 | 0.297 | 0.240 | 0.283 | 1.458 |
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 | 81 | 81 | 70 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 70 | 0 | 0 | 0 | 377 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 4.65 | 0.00 | 0.00 |
time (sec) |
N/A | 0.029 | 0.021 | 0.000 | 0.000 | 0.000 | 29.453 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.021 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 56 | 0 | 0 | 0 | 231 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 3.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.014 | 0.000 | 0.000 | 0.000 | 9.209 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 76 | 0 | 0 | 0 | 366 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 4.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 0.022 | 0.000 | 0.000 | 0.000 | 28.763 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 0.022 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.034 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.028 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.029 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 92 | 0 | 115 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.82 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 0.057 | 0.000 | 0.229 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 74 | 0 | 95 | 92 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.85 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.049 | 0.032 | 0.000 | 0.203 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 48 | 0 | 70 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 1.01 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.024 | 0.000 | 0.203 | 0.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 46 | 182 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 3.64 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.007 | 1.278 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 57 | 0 | 71 | 75 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.89 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.025 | 0.014 | 0.000 | 0.214 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 76 | 0 | 99 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.82 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 0.034 | 0.000 | 0.196 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 61 | 0 | 0 | 0 | 128 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 1.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.019 | 0.024 | 0.000 | 0.000 | 0.000 | 5.885 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 61 | 0 | 0 | 0 | 128 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 1.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.019 | 0.024 | 0.000 | 0.000 | 0.000 | 2.884 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 52 | 0 | 0 | 0 | 76 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 1.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.022 | 0.000 | 0.000 | 0.000 | 1.515 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 43 | 170 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 3.86 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.001 | 1.089 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 59 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.023 | 0.027 | 0.000 | 0.000 | 0.000 | 3.458 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 62 | 0 | 0 | 0 | 78 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.023 | 0.022 | 0.000 | 0.000 | 0.000 | 6.767 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 62 | 0 | 0 | 0 | 78 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 0.021 | 0.000 | 0.000 | 0.000 | 14.169 | 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 | 215 | 215 | 127 | 190 | 145 | 189 | 182 | 370 | 126 |
N.S. |
1 | 1.00 | 0.59 | 0.88 | 0.67 | 0.88 | 0.85 | 1.72 | 0.59 |
time (sec) |
N/A | 0.195 | 0.067 | 0.910 | 0.213 | 0.312 | 3.223 | 0.296 | 1.406 |
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 | 145 | 145 | 105 | 151 | 120 | 148 | 139 | 216 | 100 |
N.S. |
1 | 1.00 | 0.72 | 1.04 | 0.83 | 1.02 | 0.96 | 1.49 | 0.69 |
time (sec) |
N/A | 0.111 | 0.040 | 1.333 | 0.202 | 0.358 | 1.272 | 0.315 | 1.424 |
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 | 61 | 61 | 63 | 105 | 97 | 96 | 90 | 96 | 70 |
N.S. |
1 | 1.00 | 1.03 | 1.72 | 1.59 | 1.57 | 1.48 | 1.57 | 1.15 |
time (sec) |
N/A | 0.037 | 0.007 | 0.651 | 0.195 | 0.311 | 0.481 | 0.296 | 1.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 163 | 0 | 118 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.26 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.083 | 0.000 | 0.210 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 93 | 481 | 118 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 6.01 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 0.019 | 0.383 | 0.202 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 141 | 554 | 142 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 4.29 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.057 | 0.641 | 0.199 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 190 | 607 | 173 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 3.15 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.241 | 0.057 | 1.303 | 0.200 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 248 | 612 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 0.129 | 0.864 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 223 | 565 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.087 | 0.591 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 193 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 173 | 446 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 2.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.114 | 0.042 | 0.490 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 207 | 522 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 2.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.066 | 0.556 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 294 | 568 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 0.124 | 1.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 338 | 338 | 353 | 619 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 0.150 | 1.924 | 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 | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 334 | 178 | 289 | 239 | 359 | 289 | 662 | 187 |
N.S. |
1 | 1.00 | 0.53 | 0.87 | 0.72 | 1.07 | 0.87 | 1.98 | 0.56 |
time (sec) |
N/A | 0.245 | 0.138 | 1.589 | 0.202 | 0.308 | 5.000 | 0.318 | 1.429 |
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 | 211 | 211 | 146 | 223 | 203 | 275 | 223 | 385 | 144 |
N.S. |
1 | 1.00 | 0.69 | 1.06 | 0.96 | 1.30 | 1.06 | 1.82 | 0.68 |
time (sec) |
N/A | 0.143 | 0.083 | 11.034 | 0.201 | 0.325 | 2.075 | 0.292 | 1.449 |
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 | 93 | 93 | 87 | 151 | 164 | 176 | 143 | 169 | 103 |
N.S. |
1 | 1.00 | 0.94 | 1.62 | 1.76 | 1.89 | 1.54 | 1.82 | 1.11 |
time (sec) |
N/A | 0.046 | 0.010 | 1.124 | 0.196 | 0.352 | 0.791 | 0.300 | 1.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 279 | 0 | 217 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.63 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.104 | 0.106 | 0.000 | 0.212 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 302 | 0 | 202 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.54 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.091 | 0.245 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 477 | 0 | 270 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.18 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 0.280 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 571 | 0 | 338 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 0.342 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | B | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 909 | 18 | 123 | 20 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 50.50 | 1.00 | 6.83 | 1.11 | 0.94 | 1.11 | 1.11 |
time (sec) |
N/A | 0.532 | 3.127 | 0.039 | 1.121 | 0.297 | 3.881 | 0.379 | 1.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | B | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 789 | 14 | 111 | 16 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 56.36 | 1.00 | 7.93 | 1.14 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.281 | 2.667 | 0.035 | 0.850 | 0.324 | 1.871 | 0.353 | 1.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | C | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 505 | 18 | 0 | 20 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 28.06 | 1.00 | 0.00 | 1.11 | 0.94 | 1.11 | 1.11 |
time (sec) |
N/A | 0.031 | 1.004 | 0.042 | 0.000 | 0.298 | 2.953 | 0.348 | 1.363 |