Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 69 | 57 | 42 | 0 | 51 | 48 | 45 | 0 |
N.S. |
1 | 1.11 | 0.92 | 0.68 | 0.00 | 0.82 | 0.77 | 0.73 | 0.00 |
time (sec) |
N/A | 0.196 | 0.071 | 0.044 | 0.000 | 0.579 | 0.290 | 0.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 82 | 59 | 55 | 0 | 61 | 58 | 55 | 0 |
N.S. |
1 | 1.09 | 0.79 | 0.73 | 0.00 | 0.81 | 0.77 | 0.73 | 0.00 |
time (sec) |
N/A | 0.243 | 0.080 | 0.048 | 0.000 | 0.559 | 0.326 | 0.401 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 75 | 65 | 48 | 0 | 59 | 51 | 53 | 0 |
N.S. |
1 | 1.10 | 0.96 | 0.71 | 0.00 | 0.87 | 0.75 | 0.78 | 0.00 |
time (sec) |
N/A | 0.232 | 0.081 | 0.051 | 0.000 | 0.606 | 0.332 | 0.363 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 85 | 75 | 60 | 0 | 73 | 58 | 67 | 0 |
N.S. |
1 | 1.06 | 0.94 | 0.75 | 0.00 | 0.91 | 0.72 | 0.84 | 0.00 |
time (sec) |
N/A | 0.230 | 0.083 | 0.056 | 0.000 | 0.523 | 0.411 | 0.372 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 116 | 83 | 67 | 0 | 101 | 66 | 88 | 0 |
N.S. |
1 | 1.06 | 0.76 | 0.61 | 0.00 | 0.93 | 0.61 | 0.81 | 0.00 |
time (sec) |
N/A | 0.284 | 0.200 | 0.056 | 0.000 | 1.205 | 0.471 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 49 | 43 | 32 | 0 | 47 | 37 | 33 | 0 |
N.S. |
1 | 1.04 | 0.91 | 0.68 | 0.00 | 1.00 | 0.79 | 0.70 | 0.00 |
time (sec) |
N/A | 0.223 | 0.060 | 0.050 | 0.000 | 0.515 | 0.325 | 0.389 | 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 | 67 | 72 | 63 | 52 | 49 | 48 | 58 | 60 | 102 |
N.S. |
1 | 1.07 | 0.94 | 0.78 | 0.73 | 0.72 | 0.87 | 0.90 | 1.52 |
time (sec) |
N/A | 0.316 | 0.095 | 0.280 | 0.260 | 0.283 | 2.300 | 0.362 | 17.319 |
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 | 71 | 74 | 67 | 54 | 51 | 59 | 60 | 62 | 118 |
N.S. |
1 | 1.04 | 0.94 | 0.76 | 0.72 | 0.83 | 0.85 | 0.87 | 1.66 |
time (sec) |
N/A | 0.303 | 0.066 | 0.285 | 0.266 | 0.289 | 2.277 | 0.354 | 0.034 |
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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 54 | 32 | 61 | 46 | 23 | 44 | 46 | 43 |
N.S. |
1 | 1.04 | 0.62 | 1.17 | 0.88 | 0.44 | 0.85 | 0.88 | 0.83 |
time (sec) |
N/A | 0.232 | 0.042 | 1.009 | 0.263 | 0.260 | 0.207 | 0.340 | 18.593 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 18 | 31 | 14 | 0 | 37 | 19 | 25 | 0 |
N.S. |
1 | 0.90 | 1.55 | 0.70 | 0.00 | 1.85 | 0.95 | 1.25 | 0.00 |
time (sec) |
N/A | 0.265 | 0.063 | 1.085 | 0.000 | 0.452 | 0.408 | 0.415 | 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 | 43 | 45 | 39 | 30 | 29 | 29 | 36 | 30 | 53 |
N.S. |
1 | 1.05 | 0.91 | 0.70 | 0.67 | 0.67 | 0.84 | 0.70 | 1.23 |
time (sec) |
N/A | 0.272 | 0.027 | 1.089 | 0.261 | 0.274 | 0.418 | 0.314 | 18.150 |
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 | 116 | 124 | 130 | 90 | 89 | 76 | 105 | 89 | 88 |
N.S. |
1 | 1.07 | 1.12 | 0.78 | 0.77 | 0.66 | 0.91 | 0.77 | 0.76 |
time (sec) |
N/A | 0.339 | 0.052 | 0.028 | 0.180 | 0.265 | 1.103 | 0.319 | 0.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 61 | 58 | 54 | 53 | 35 | 71 | 82 | 0 |
N.S. |
1 | 0.73 | 0.70 | 0.65 | 0.64 | 0.42 | 0.86 | 0.99 | 0.00 |
time (sec) |
N/A | 0.256 | 0.055 | 0.365 | 0.196 | 0.292 | 0.403 | 0.391 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | B | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 48 | 62 | 17 | 40 | 39 | 216 | 268 | 0 |
N.S. |
1 | 0.75 | 0.97 | 0.27 | 0.62 | 0.61 | 3.38 | 4.19 | 0.00 |
time (sec) |
N/A | 0.252 | 0.055 | 0.418 | 0.198 | 0.283 | 1.396 | 0.386 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 68 | 86 | 59 | 58 | 57 | 65 | 474 | 0 |
N.S. |
1 | 0.83 | 1.05 | 0.72 | 0.71 | 0.70 | 0.79 | 5.78 | 0.00 |
time (sec) |
N/A | 0.280 | 0.064 | 0.360 | 0.195 | 0.294 | 0.653 | 0.412 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 61 | 58 | 54 | 53 | 35 | 71 | 82 | 0 |
N.S. |
1 | 0.73 | 0.70 | 0.65 | 0.64 | 0.42 | 0.86 | 0.99 | 0.00 |
time (sec) |
N/A | 0.256 | 0.003 | 0.280 | 0.194 | 0.277 | 0.409 | 0.351 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 192 | 168 | 121 | 120 | 76 | 165 | 7916 | 0 |
N.S. |
1 | 1.01 | 0.88 | 0.64 | 0.63 | 0.40 | 0.87 | 41.66 | 0.00 |
time (sec) |
N/A | 0.614 | 0.168 | 0.779 | 0.191 | 0.286 | 0.651 | 43.804 | 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 | 233 | 235 | 186 | 154 | 153 | 85 | 202 | 271 | 0 |
N.S. |
1 | 1.01 | 0.80 | 0.66 | 0.66 | 0.36 | 0.87 | 1.16 | 0.00 |
time (sec) |
N/A | 0.689 | 0.171 | 0.967 | 0.199 | 0.274 | 0.730 | 4.877 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 162 | 94 | 107 | 106 | 62 | 139 | 859 | 0 |
N.S. |
1 | 1.01 | 0.59 | 0.67 | 0.66 | 0.39 | 0.87 | 5.37 | 0.00 |
time (sec) |
N/A | 0.552 | 0.115 | 0.438 | 0.194 | 0.273 | 0.631 | 0.426 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 31 | 16 | 0 | 35 | 20 | 25 | 0 |
N.S. |
1 | 1.00 | 1.55 | 0.80 | 0.00 | 1.75 | 1.00 | 1.25 | 0.00 |
time (sec) |
N/A | 0.266 | 0.002 | 1.015 | 0.000 | 0.446 | 0.394 | 0.333 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 52 | 59 | 38 | 0 | 85 | 39 | 49 | 0 |
N.S. |
1 | 1.18 | 1.34 | 0.86 | 0.00 | 1.93 | 0.89 | 1.11 | 0.00 |
time (sec) |
N/A | 0.228 | 0.071 | 0.051 | 0.000 | 0.655 | 0.411 | 0.422 | 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 | 54 | 57 | 51 | 50 | 58 | 45 | 73 | 61 | 50 |
N.S. |
1 | 1.06 | 0.94 | 0.93 | 1.07 | 0.83 | 1.35 | 1.13 | 0.93 |
time (sec) |
N/A | 0.499 | 0.048 | 1.012 | 0.185 | 0.263 | 1.278 | 0.424 | 18.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 77 | 64 | 50 | 0 | 84 | 48 | 44 | 0 |
N.S. |
1 | 1.10 | 0.91 | 0.71 | 0.00 | 1.20 | 0.69 | 0.63 | 0.00 |
time (sec) |
N/A | 0.208 | 0.093 | 0.045 | 0.000 | 0.843 | 0.333 | 0.388 | 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 | 19 | 23 | 19 | 16 | 15 | 15 | 17 | 15 | 15 |
N.S. |
1 | 1.21 | 1.00 | 0.84 | 0.79 | 0.79 | 0.89 | 0.79 | 0.79 |
time (sec) |
N/A | 0.173 | 0.014 | 0.998 | 0.189 | 0.253 | 0.075 | 0.336 | 18.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 67 | 50 | 49 | 49 | 71 | 50 | 47 |
N.S. |
1 | 1.00 | 0.87 | 0.65 | 0.64 | 0.64 | 0.92 | 0.65 | 0.61 |
time (sec) |
N/A | 0.227 | 0.031 | 1.044 | 0.186 | 0.267 | 0.345 | 0.361 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 224 | 76 | 289 | 0 | 92 | 0 | 171 | 255 |
N.S. |
1 | 2.80 | 0.95 | 3.61 | 0.00 | 1.15 | 0.00 | 2.14 | 3.19 |
time (sec) |
N/A | 0.536 | 0.130 | 1.366 | 0.000 | 0.287 | 0.000 | 0.826 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 97 | 81 | 130 | 0 | 87 | 0 | 81 | 0 |
N.S. |
1 | 1.09 | 0.91 | 1.46 | 0.00 | 0.98 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.299 | 0.098 | 1.001 | 0.000 | 2.554 | 0.000 | 0.538 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 67 | 55 | 68 | 0 | 62 | 0 | 65 | 0 |
N.S. |
1 | 1.10 | 0.90 | 1.11 | 0.00 | 1.02 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.636 | 0.115 | 1.010 | 0.000 | 1.614 | 0.000 | 0.634 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 18 | 7 | 27 | 18 | 26 | 14 | 14 |
N.S. |
1 | 1.00 | 2.25 | 0.88 | 3.38 | 2.25 | 3.25 | 1.75 | 1.75 |
time (sec) |
N/A | 0.129 | 0.003 | 1.071 | 0.183 | 0.271 | 0.540 | 0.424 | 0.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 18 | 32 | 27 | 27 | 0 | 22 | 12 |
N.S. |
1 | 1.00 | 2.25 | 4.00 | 3.38 | 3.38 | 0.00 | 2.75 | 1.50 |
time (sec) |
N/A | 0.146 | 0.004 | 0.123 | 0.183 | 0.271 | 0.000 | 0.367 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 51 | 27 | 49 | 28 | 63 | 22 | 26 |
N.S. |
1 | 1.00 | 2.32 | 1.23 | 2.23 | 1.27 | 2.86 | 1.00 | 1.18 |
time (sec) |
N/A | 0.136 | 0.036 | 0.993 | 0.184 | 0.267 | 0.904 | 0.323 | 19.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 51 | 45 | 51 | 42 | 0 | 35 | 35 |
N.S. |
1 | 1.00 | 2.32 | 2.05 | 2.32 | 1.91 | 0.00 | 1.59 | 1.59 |
time (sec) |
N/A | 0.147 | 0.001 | 0.109 | 0.187 | 0.308 | 0.000 | 0.341 | 18.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 66 | 43 | 20 | 39 | 0 | 42 | 138 |
N.S. |
1 | 1.00 | 1.83 | 1.19 | 0.56 | 1.08 | 0.00 | 1.17 | 3.83 |
time (sec) |
N/A | 0.147 | 0.119 | 1.046 | 0.267 | 0.260 | 0.000 | 0.324 | 19.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 66 | 56 | 41 | 36 | 0 | 51 | 41 |
N.S. |
1 | 1.00 | 1.83 | 1.56 | 1.14 | 1.00 | 0.00 | 1.42 | 1.14 |
time (sec) |
N/A | 0.164 | 0.005 | 0.224 | 0.259 | 0.266 | 0.000 | 0.343 | 0.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 78 | 60 | 55 | 46 | 0 | 47 | 473 |
N.S. |
1 | 1.07 | 1.13 | 0.87 | 0.80 | 0.67 | 0.00 | 0.68 | 6.86 |
time (sec) |
N/A | 0.165 | 0.099 | 1.038 | 0.185 | 0.281 | 0.000 | 0.347 | 32.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 78 | 70 | 138 | 64 | 0 | 62 | 119 |
N.S. |
1 | 1.07 | 1.13 | 1.01 | 2.00 | 0.93 | 0.00 | 0.90 | 1.72 |
time (sec) |
N/A | 0.184 | 0.001 | 0.119 | 0.187 | 0.296 | 0.000 | 0.339 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 42 | 33 | 13 | 13 | 0 | 20 | 13 |
N.S. |
1 | 1.00 | 2.80 | 2.20 | 0.87 | 0.87 | 0.00 | 1.33 | 0.87 |
time (sec) |
N/A | 0.148 | 0.009 | 0.174 | 0.276 | 0.261 | 0.000 | 0.329 | 0.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 51 | 30 | 15 | 15 | 0 | 16 | 15 |
N.S. |
1 | 1.00 | 2.83 | 1.67 | 0.83 | 0.83 | 0.00 | 0.89 | 0.83 |
time (sec) |
N/A | 0.151 | 0.030 | 0.959 | 0.272 | 0.265 | 0.000 | 0.336 | 17.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 63 | 85 | 24 | 24 | 0 | 41 | 36 |
N.S. |
1 | 1.00 | 2.62 | 3.54 | 1.00 | 1.00 | 0.00 | 1.71 | 1.50 |
time (sec) |
N/A | 0.187 | 0.053 | 1.057 | 0.277 | 0.278 | 0.000 | 0.379 | 18.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 77 | 80 | 59 | 105 | 0 | 61 | 31 |
N.S. |
1 | 1.00 | 1.88 | 1.95 | 1.44 | 2.56 | 0.00 | 1.49 | 0.76 |
time (sec) |
N/A | 0.200 | 0.019 | 1.129 | 0.267 | 0.251 | 0.000 | 0.378 | 0.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 48 | 52 | 45 | 37 | 28 | 0 | 36 | 37 |
N.S. |
1 | 1.50 | 1.62 | 1.41 | 1.16 | 0.88 | 0.00 | 1.12 | 1.16 |
time (sec) |
N/A | 0.156 | 0.008 | 0.181 | 0.271 | 0.263 | 0.000 | 0.339 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 57 | 64 | 39 | 43 | 32 | 0 | 29 | 43 |
N.S. |
1 | 1.50 | 1.68 | 1.03 | 1.13 | 0.84 | 0.00 | 0.76 | 1.13 |
time (sec) |
N/A | 0.160 | 0.013 | 0.177 | 0.273 | 0.285 | 0.000 | 0.343 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 58 | 67 | 61 | 49 | 38 | 0 | 36 | 49 |
N.S. |
1 | 1.38 | 1.60 | 1.45 | 1.17 | 0.90 | 0.00 | 0.86 | 1.17 |
time (sec) |
N/A | 0.161 | 0.032 | 0.154 | 0.271 | 0.289 | 0.000 | 0.326 | 17.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 60 | 67 | 62 | 70 | 58 | 0 | 40 | 51 |
N.S. |
1 | 1.46 | 1.63 | 1.51 | 1.71 | 1.41 | 0.00 | 0.98 | 1.24 |
time (sec) |
N/A | 0.166 | 0.064 | 0.136 | 0.190 | 0.271 | 0.000 | 0.339 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 97 | 97 | 152 | 118 | 180 | 0 | 109 | 90 |
N.S. |
1 | 1.28 | 1.28 | 2.00 | 1.55 | 2.37 | 0.00 | 1.43 | 1.18 |
time (sec) |
N/A | 0.187 | 0.053 | 0.091 | 0.268 | 0.296 | 0.000 | 0.380 | 0.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 75 | 76 | 80 | 54 | 0 | 74 | 57 |
N.S. |
1 | 1.00 | 1.53 | 1.55 | 1.63 | 1.10 | 0.00 | 1.51 | 1.16 |
time (sec) |
N/A | 0.164 | 0.090 | 0.229 | 0.260 | 0.273 | 0.000 | 0.385 | 18.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 88 | 84 | 53 | 46 | 0 | 114 | 74 |
N.S. |
1 | 1.00 | 1.91 | 1.83 | 1.15 | 1.00 | 0.00 | 2.48 | 1.61 |
time (sec) |
N/A | 0.179 | 0.172 | 0.243 | 0.269 | 0.292 | 0.000 | 0.338 | 0.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 32 | 19 | 17 | 27 | 17 | 0 | 17 | 17 |
N.S. |
1 | 1.60 | 0.95 | 0.85 | 1.35 | 0.85 | 0.00 | 0.85 | 0.85 |
time (sec) |
N/A | 0.173 | 0.040 | 1.007 | 0.187 | 0.311 | 0.000 | 0.300 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 19 | 17 | 16 | 17 | 0 | 17 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.94 | 0.89 | 0.94 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.177 | 0.005 | 0.985 | 0.197 | 0.255 | 0.000 | 0.312 | 0.000 |
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 | 54 | 59 | 68 | 79 | 103 | 83 | 0 | 129 | 62 |
N.S. |
1 | 1.09 | 1.26 | 1.46 | 1.91 | 1.54 | 0.00 | 2.39 | 1.15 |
time (sec) |
N/A | 0.203 | 0.175 | 1.018 | 0.271 | 0.315 | 0.000 | 0.383 | 18.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 19 | 18 | 0 | 17 | 0 | 23 | 15 |
N.S. |
1 | 1.00 | 1.73 | 1.64 | 0.00 | 1.55 | 0.00 | 2.09 | 1.36 |
time (sec) |
N/A | 0.134 | 0.025 | 1.078 | 0.000 | 0.268 | 0.000 | 0.330 | 18.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 41 | 40 | 0 | 34 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.41 | 1.38 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 1.756 | 1.101 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 197 | 111 | 359 | 0 | 372 | 0 | 287 | 0 |
N.S. |
1 | 1.09 | 0.62 | 1.99 | 0.00 | 2.07 | 0.00 | 1.59 | 0.00 |
time (sec) |
N/A | 0.481 | 0.271 | 1.259 | 0.000 | 0.285 | 0.000 | 0.394 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 165 | 94 | 104 | 0 | 171 | 0 | 350 | 0 |
N.S. |
1 | 0.96 | 0.55 | 0.60 | 0.00 | 0.99 | 0.00 | 2.03 | 0.00 |
time (sec) |
N/A | 0.349 | 0.367 | 0.291 | 0.000 | 0.278 | 0.000 | 0.374 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 305 | 115 | 129 | 0 | 223 | 0 | 452 | 0 |
N.S. |
1 | 0.99 | 0.37 | 0.42 | 0.00 | 0.73 | 0.00 | 1.47 | 0.00 |
time (sec) |
N/A | 0.538 | 0.438 | 0.332 | 0.000 | 0.268 | 0.000 | 0.380 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 67 | 78 | 71 | 0 | 77 | 0 | 81 | 0 |
N.S. |
1 | 1.03 | 1.20 | 1.09 | 0.00 | 1.18 | 0.00 | 1.25 | 0.00 |
time (sec) |
N/A | 0.215 | 0.187 | 0.166 | 0.000 | 0.302 | 0.000 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 85 | 69 | 61 | 0 | 97 | 0 | 143 | 0 |
N.S. |
1 | 1.02 | 0.83 | 0.73 | 0.00 | 1.17 | 0.00 | 1.72 | 0.00 |
time (sec) |
N/A | 0.212 | 0.300 | 0.125 | 0.000 | 0.279 | 0.000 | 0.337 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 105 | 83 | 69 | 0 | 129 | 0 | 184 | 0 |
N.S. |
1 | 1.04 | 0.82 | 0.68 | 0.00 | 1.28 | 0.00 | 1.82 | 0.00 |
time (sec) |
N/A | 0.216 | 0.336 | 0.130 | 0.000 | 0.255 | 0.000 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 124 | 81 | 370 | 0 | 187 | 0 | 197 | 0 |
N.S. |
1 | 1.15 | 0.75 | 3.43 | 0.00 | 1.73 | 0.00 | 1.82 | 0.00 |
time (sec) |
N/A | 0.324 | 0.225 | 1.039 | 0.000 | 0.278 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 100 | 84 | 110 | 0 | 121 | 0 | 263 | 0 |
N.S. |
1 | 1.15 | 0.97 | 1.26 | 0.00 | 1.39 | 0.00 | 3.02 | 0.00 |
time (sec) |
N/A | 0.247 | 0.334 | 0.341 | 0.000 | 0.283 | 0.000 | 0.335 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 163 | 109 | 130 | 0 | 171 | 0 | 367 | 0 |
N.S. |
1 | 1.09 | 0.73 | 0.87 | 0.00 | 1.15 | 0.00 | 2.46 | 0.00 |
time (sec) |
N/A | 0.304 | 0.392 | 0.573 | 0.000 | 0.262 | 0.000 | 0.328 | 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 | 42 | 74 | 42 | 35 | 59 | 58 | 182 | 58 | 38 |
N.S. |
1 | 1.76 | 1.00 | 0.83 | 1.40 | 1.38 | 4.33 | 1.38 | 0.90 |
time (sec) |
N/A | 0.439 | 0.081 | 2.983 | 0.233 | 0.276 | 0.161 | 0.308 | 0.185 |
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 | 42 | 74 | 42 | 35 | 59 | 58 | 182 | 58 | 51 |
N.S. |
1 | 1.76 | 1.00 | 0.83 | 1.40 | 1.38 | 4.33 | 1.38 | 1.21 |
time (sec) |
N/A | 0.450 | 0.071 | 1.561 | 0.236 | 0.251 | 0.766 | 0.320 | 18.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 108 | 278 | 958 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.73 | 9.39 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 22.479 | 2.635 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 66 | 256 | 936 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 4.13 | 15.10 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 22.424 | 1.999 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 156 | 200 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.18 | 11.76 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 32.153 | 1.365 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 261 | 932 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.58 | 12.77 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 22.672 | 2.033 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 115 | 298 | 972 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.73 | 8.92 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 22.849 | 2.067 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 108 | 278 | 954 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.73 | 9.35 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 24.415 | 2.223 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 66 | 256 | 932 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 4.13 | 15.03 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 18.905 | 1.946 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 100 | 200 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.88 | 11.76 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 33.863 | 1.416 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 298 | 963 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.08 | 13.19 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 19.717 | 1.446 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 115 | 327 | 1039 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.00 | 9.53 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 22.028 | 1.489 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 730 | 843 | 10468 | 5229 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 14.34 | 7.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.011 | 16.139 | 6.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 622 | 729 | 5218 | 4865 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 8.39 | 7.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.652 | 16.070 | 5.159 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 258 | 822 | 1056 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 3.62 | 4.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 11.488 | 1.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 674 | 777 | 5276 | 5024 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 7.83 | 7.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 16.124 | 1.033 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 663 | 814 | 7543 | 7887 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 11.38 | 11.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.768 | 13.922 | 7.218 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 279 | 1065 | 1704 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 4.53 | 7.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 11.412 | 1.234 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 748 | 882 | 7629 | 8103 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 10.20 | 10.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.829 | 16.144 | 1.373 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 452 | 539 | 6287 | 2655 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 13.91 | 5.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.661 | 16.104 | 5.237 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 397 | 481 | 3470 | 2519 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 8.74 | 6.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.521 | 16.056 | 4.196 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 540 | 530 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.75 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 11.033 | 0.878 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 437 | 509 | 3526 | 2601 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 8.07 | 5.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 16.075 | 0.928 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 517 | 597 | 6386 | 2757 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 12.35 | 5.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.647 | 16.135 | 0.959 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 558 | 635 | 7235 | 2694 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 12.97 | 4.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.842 | 17.097 | 4.905 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 466 | 543 | 4389 | 2551 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 9.42 | 5.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.750 | 14.891 | 4.755 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 173 | 813 | 788 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 4.54 | 4.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.390 | 12.964 | 1.037 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 474 | 540 | 3593 | 2616 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 7.58 | 5.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.691 | 14.360 | 1.122 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 591 | 664 | 6452 | 2777 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 10.92 | 4.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.834 | 17.030 | 1.012 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 585 | 651 | 8500 | 2733 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 14.53 | 4.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.917 | 17.053 | 4.146 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 485 | 555 | 5647 | 2582 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 11.64 | 5.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.797 | 13.837 | 4.107 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 388 | 471 | 1145 | 1147 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 2.95 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.680 | 15.188 | 1.437 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 311 | 389 | 2941 | 2607 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 9.46 | 8.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.590 | 14.505 | 1.277 | 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 | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 582 | 653 | 5812 | 2780 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 9.99 | 4.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.889 | 17.139 | 1.511 | 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 | No | No | TBD | TBD | TBD | TBD | TBD |
size | 129 | 168 | 927 | 965 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 7.19 | 7.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 10.702 | 1.128 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 431 | 553 | 4865 | 4426 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 11.29 | 10.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.755 | 16.151 | 2.704 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 115 | 249 | 961 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.31 | 8.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 10.382 | 0.834 | 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 | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 367 | 400 | 602 | 2564 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.64 | 6.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.703 | 12.702 | 0.811 | 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 | No | No | TBD | TBD | TBD | TBD | TBD |
size | 126 | 163 | 1148 | 1180 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 9.11 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 10.615 | 1.158 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |