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 | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 82 | 79 | 78 | 114 | 189 | 83 | 114 | 106 |
N.S. |
1 | 0.87 | 0.84 | 0.83 | 1.21 | 2.01 | 0.88 | 1.21 | 1.13 |
time (sec) |
N/A | 0.280 | 0.312 | 176.202 | 0.280 | 0.236 | 4.114 | 0.432 | 4.023 |
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 | 75 | 68 | 63 | 67 | 92 | 153 | 68 | 92 | 149 |
N.S. |
1 | 0.91 | 0.84 | 0.89 | 1.23 | 2.04 | 0.91 | 1.23 | 1.99 |
time (sec) |
N/A | 0.299 | 0.097 | 63.452 | 0.237 | 0.228 | 2.402 | 0.427 | 4.202 |
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 | 62 | 58 | 55 | 56 | 70 | 117 | 60 | 70 | 112 |
N.S. |
1 | 0.94 | 0.89 | 0.90 | 1.13 | 1.89 | 0.97 | 1.13 | 1.81 |
time (sec) |
N/A | 0.285 | 0.093 | 18.230 | 0.242 | 0.233 | 1.579 | 0.413 | 3.708 |
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 | 46 | 46 | 43 | 45 | 48 | 81 | 48 | 48 | 48 |
N.S. |
1 | 1.00 | 0.93 | 0.98 | 1.04 | 1.76 | 1.04 | 1.04 | 1.04 |
time (sec) |
N/A | 0.281 | 0.036 | 3.463 | 0.238 | 0.232 | 1.108 | 0.407 | 3.995 |
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 | 27 | 30 | 30 | 28 | 21 | 45 | 37 | 26 | 23 |
N.S. |
1 | 1.11 | 1.11 | 1.04 | 0.78 | 1.67 | 1.37 | 0.96 | 0.85 |
time (sec) |
N/A | 0.259 | 0.012 | 0.625 | 0.237 | 0.228 | 0.738 | 0.379 | 3.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 23 | 17 | 18 | 24 | 18 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.21 | 0.89 | 0.95 | 1.26 | 0.95 | 0.89 |
time (sec) |
N/A | 0.152 | 0.010 | 0.062 | 0.258 | 0.238 | 0.084 | 0.297 | 3.720 |
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 | 46 | 48 | 22 | 38 | 23 | 39 | 23 | 22 |
N.S. |
1 | 1.02 | 1.07 | 0.49 | 0.84 | 0.51 | 0.87 | 0.51 | 0.49 |
time (sec) |
N/A | 0.255 | 0.036 | 0.624 | 0.332 | 0.240 | 0.090 | 0.359 | 4.170 |
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 | 46 | 53 | 61 | 56 | 136 | 103 | 64 |
N.S. |
1 | 1.07 | 0.69 | 0.79 | 0.91 | 0.84 | 2.03 | 1.54 | 0.96 |
time (sec) |
N/A | 0.331 | 0.035 | 3.062 | 0.337 | 0.247 | 0.156 | 0.383 | 3.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 98 | 56 | 63 | 82 | 80 | 211 | 127 | 108 |
N.S. |
1 | 1.10 | 0.63 | 0.71 | 0.92 | 0.90 | 2.37 | 1.43 | 1.21 |
time (sec) |
N/A | 0.405 | 0.045 | 14.070 | 0.340 | 0.235 | 0.210 | 0.415 | 4.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 124 | 68 | 73 | 103 | 104 | 279 | 151 | 152 |
N.S. |
1 | 1.12 | 0.61 | 0.66 | 0.93 | 0.94 | 2.51 | 1.36 | 1.37 |
time (sec) |
N/A | 0.493 | 0.149 | 48.319 | 0.320 | 0.240 | 0.284 | 0.463 | 5.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 107 | 98 | 74 | 106 | 372 | 0 | 181 | 247 |
N.S. |
1 | 1.09 | 1.00 | 0.76 | 1.08 | 3.80 | 0.00 | 1.85 | 2.52 |
time (sec) |
N/A | 0.527 | 0.021 | 36.220 | 0.254 | 0.249 | 0.000 | 0.410 | 8.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 81 | 76 | 64 | 86 | 276 | 0 | 139 | 178 |
N.S. |
1 | 1.07 | 1.00 | 0.84 | 1.13 | 3.63 | 0.00 | 1.83 | 2.34 |
time (sec) |
N/A | 0.434 | 0.010 | 8.212 | 0.239 | 0.241 | 0.000 | 0.370 | 7.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 55 | 54 | 51 | 61 | 180 | 0 | 97 | 107 |
N.S. |
1 | 1.02 | 1.00 | 0.94 | 1.13 | 3.33 | 0.00 | 1.80 | 1.98 |
time (sec) |
N/A | 0.333 | 0.011 | 1.750 | 0.236 | 0.241 | 0.000 | 0.358 | 5.955 |
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 | 27 | 27 | 27 | 34 | 32 | 82 | 41 | 52 | 39 |
N.S. |
1 | 1.00 | 1.00 | 1.26 | 1.19 | 3.04 | 1.52 | 1.93 | 1.44 |
time (sec) |
N/A | 0.238 | 0.007 | 0.358 | 0.247 | 0.243 | 2.268 | 0.366 | 4.042 |
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 | 26 | 26 | 51 | 17 | 22 | 15 | 26 | 84 | 20 |
N.S. |
1 | 1.00 | 1.96 | 0.65 | 0.85 | 0.58 | 1.00 | 3.23 | 0.77 |
time (sec) |
N/A | 0.238 | 0.034 | 0.349 | 0.256 | 0.233 | 0.074 | 0.361 | 3.947 |
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 | 46 | 46 | 46 | 37 | 36 | 42 | 105 | 196 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.78 | 0.91 | 2.28 | 4.26 | 1.17 |
time (sec) |
N/A | 0.269 | 0.006 | 1.448 | 0.225 | 0.251 | 0.161 | 0.396 | 3.706 |
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 | 62 | 58 | 62 | 47 | 49 | 66 | 184 | 220 | 70 |
N.S. |
1 | 0.94 | 1.00 | 0.76 | 0.79 | 1.06 | 2.97 | 3.55 | 1.13 |
time (sec) |
N/A | 0.273 | 0.008 | 6.787 | 0.253 | 0.232 | 0.242 | 0.534 | 5.998 |
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 | 76 | 66 | 76 | 57 | 58 | 90 | 253 | 244 | 93 |
N.S. |
1 | 0.87 | 1.00 | 0.75 | 0.76 | 1.18 | 3.33 | 3.21 | 1.22 |
time (sec) |
N/A | 0.286 | 0.025 | 27.385 | 0.268 | 0.234 | 0.321 | 0.525 | 6.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 94 | 79 | 80 | 108 | 189 | 0 | 108 | 151 |
N.S. |
1 | 0.86 | 0.72 | 0.73 | 0.99 | 1.73 | 0.00 | 0.99 | 1.39 |
time (sec) |
N/A | 0.291 | 0.544 | 114.000 | 0.227 | 0.228 | 0.000 | 0.555 | 4.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 72 | 63 | 69 | 95 | 151 | 0 | 95 | 132 |
N.S. |
1 | 0.88 | 0.77 | 0.84 | 1.16 | 1.84 | 0.00 | 1.16 | 1.61 |
time (sec) |
N/A | 0.267 | 0.358 | 34.889 | 0.260 | 0.233 | 0.000 | 0.545 | 3.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 34 | 58 | 56 | 113 | 0 | 56 | 56 |
N.S. |
1 | 0.91 | 0.62 | 1.05 | 1.02 | 2.05 | 0.00 | 1.02 | 1.02 |
time (sec) |
N/A | 0.253 | 0.170 | 8.362 | 0.251 | 0.234 | 0.000 | 0.503 | 3.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 50 | 47 | 21 | 75 | 0 | 42 | 35 |
N.S. |
1 | 1.00 | 1.85 | 1.74 | 0.78 | 2.78 | 0.00 | 1.56 | 1.30 |
time (sec) |
N/A | 0.224 | 0.092 | 1.974 | 0.262 | 0.227 | 0.000 | 0.461 | 4.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 34 | 40 | 41 | 56 | 53 | 66 | 29 |
N.S. |
1 | 1.00 | 0.89 | 1.05 | 1.08 | 1.47 | 1.39 | 1.74 | 0.76 |
time (sec) |
N/A | 0.251 | 0.133 | 0.091 | 0.368 | 0.237 | 0.132 | 0.382 | 3.635 |
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 | 25 | 25 | 31 | 19 | 32 | 17 | 36 | 17 | 18 |
N.S. |
1 | 1.00 | 1.24 | 0.76 | 1.28 | 0.68 | 1.44 | 0.68 | 0.72 |
time (sec) |
N/A | 0.219 | 0.132 | 1.348 | 0.362 | 0.234 | 0.102 | 0.495 | 3.820 |
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 | 63 | 71 | 52 | 44 | 67 | 41 | 87 | 257 | 50 |
N.S. |
1 | 1.13 | 0.83 | 0.70 | 1.06 | 0.65 | 1.38 | 4.08 | 0.79 |
time (sec) |
N/A | 0.273 | 0.207 | 6.554 | 0.373 | 0.237 | 0.147 | 0.559 | 3.818 |
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 | 117 | 115 | 99 | 79 | 92 | 78 | 185 | 169 | 88 |
N.S. |
1 | 0.98 | 0.85 | 0.68 | 0.79 | 0.67 | 1.58 | 1.44 | 0.75 |
time (sec) |
N/A | 0.310 | 0.306 | 26.162 | 0.355 | 0.245 | 0.220 | 0.605 | 3.639 |
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 | 171 | 159 | 142 | 114 | 115 | 106 | 270 | 342 | 144 |
N.S. |
1 | 0.93 | 0.83 | 0.67 | 0.67 | 0.62 | 1.58 | 2.00 | 0.84 |
time (sec) |
N/A | 0.336 | 0.362 | 82.579 | 0.377 | 0.247 | 0.275 | 0.677 | 4.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 121 | 108 | 133 | 181 | 364 | 0 | 237 | 290 |
N.S. |
1 | 1.03 | 0.92 | 1.13 | 1.53 | 3.08 | 0.00 | 2.01 | 2.46 |
time (sec) |
N/A | 0.611 | 0.243 | 19.593 | 0.280 | 0.249 | 0.000 | 0.553 | 7.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 95 | 84 | 111 | 130 | 256 | 0 | 173 | 198 |
N.S. |
1 | 1.01 | 0.89 | 1.18 | 1.38 | 2.72 | 0.00 | 1.84 | 2.11 |
time (sec) |
N/A | 0.492 | 0.131 | 3.992 | 0.285 | 0.245 | 0.000 | 0.513 | 7.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 65 | 56 | 86 | 83 | 148 | 0 | 107 | 104 |
N.S. |
1 | 0.96 | 0.82 | 1.26 | 1.22 | 2.18 | 0.00 | 1.57 | 1.53 |
time (sec) |
N/A | 0.363 | 0.141 | 0.788 | 0.490 | 0.255 | 0.000 | 0.426 | 4.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 180 | 56 | 61 | 52 | 68 | 56 | 41 |
N.S. |
1 | 1.00 | 3.91 | 1.22 | 1.33 | 1.13 | 1.48 | 1.22 | 0.89 |
time (sec) |
N/A | 0.279 | 0.522 | 0.631 | 0.358 | 0.240 | 0.177 | 0.456 | 3.748 |
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 | 51 | 51 | 52 | 38 | 52 | 34 | 75 | 531 | 78 |
N.S. |
1 | 1.00 | 1.02 | 0.75 | 1.02 | 0.67 | 1.47 | 10.41 | 1.53 |
time (sec) |
N/A | 0.275 | 0.076 | 3.128 | 0.654 | 0.235 | 0.152 | 0.520 | 3.710 |
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 | 69 | 66 | 68 | 67 | 79 | 62 | 153 | 613 | 71 |
N.S. |
1 | 0.96 | 0.99 | 0.97 | 1.14 | 0.90 | 2.22 | 8.88 | 1.03 |
time (sec) |
N/A | 0.304 | 0.133 | 14.235 | 0.315 | 0.250 | 0.232 | 0.598 | 5.115 |
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 | 87 | 78 | 85 | 102 | 98 | 90 | 238 | 641 | 256 |
N.S. |
1 | 0.90 | 0.98 | 1.17 | 1.13 | 1.03 | 2.74 | 7.37 | 2.94 |
time (sec) |
N/A | 0.322 | 0.146 | 49.181 | 0.280 | 0.232 | 0.314 | 0.670 | 4.098 |
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 | 105 | 86 | 104 | 131 | 119 | 118 | 314 | 669 | 330 |
N.S. |
1 | 0.82 | 0.99 | 1.25 | 1.13 | 1.12 | 2.99 | 6.37 | 3.14 |
time (sec) |
N/A | 0.323 | 0.315 | 135.736 | 0.271 | 0.237 | 0.387 | 0.721 | 6.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 94 | 79 | 91 | 108 | 215 | 0 | 108 | 151 |
N.S. |
1 | 0.86 | 0.72 | 0.83 | 0.99 | 1.97 | 0.00 | 0.99 | 1.39 |
time (sec) |
N/A | 0.272 | 0.644 | 182.417 | 0.483 | 0.232 | 0.000 | 0.596 | 3.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 72 | 63 | 80 | 108 | 177 | 0 | 108 | 151 |
N.S. |
1 | 0.88 | 0.77 | 0.98 | 1.32 | 2.16 | 0.00 | 1.32 | 1.84 |
time (sec) |
N/A | 0.264 | 0.367 | 64.761 | 0.392 | 0.239 | 0.000 | 0.539 | 4.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 34 | 69 | 82 | 139 | 0 | 82 | 114 |
N.S. |
1 | 0.91 | 0.62 | 1.25 | 1.49 | 2.53 | 0.00 | 1.49 | 2.07 |
time (sec) |
N/A | 0.242 | 0.300 | 19.529 | 0.510 | 0.232 | 0.000 | 0.543 | 3.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 50 | 58 | 21 | 101 | 0 | 56 | 56 |
N.S. |
1 | 1.00 | 1.85 | 2.15 | 0.78 | 3.74 | 0.00 | 2.07 | 2.07 |
time (sec) |
N/A | 0.216 | 0.153 | 4.088 | 0.267 | 0.233 | 0.000 | 0.489 | 3.847 |
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 | 63 | 67 | 46 | 51 | 76 | 97 | 94 | 118 | 41 |
N.S. |
1 | 1.06 | 0.73 | 0.81 | 1.21 | 1.54 | 1.49 | 1.87 | 0.65 |
time (sec) |
N/A | 0.326 | 0.148 | 0.096 | 0.363 | 0.239 | 0.162 | 0.399 | 4.199 |
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 | 49 | 43 | 40 | 50 | 62 | 36 | 61 | 36 | 39 |
N.S. |
1 | 0.88 | 0.82 | 1.02 | 1.27 | 0.73 | 1.24 | 0.73 | 0.80 |
time (sec) |
N/A | 0.244 | 0.108 | 2.852 | 0.380 | 0.239 | 0.169 | 0.614 | 3.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 38 | 57 | 34 | 80 | 135 | 36 |
N.S. |
1 | 1.00 | 0.89 | 1.41 | 2.11 | 1.26 | 2.96 | 5.00 | 1.33 |
time (sec) |
N/A | 0.222 | 0.079 | 13.760 | 0.375 | 0.237 | 0.174 | 0.708 | 3.944 |
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 | 90 | 93 | 65 | 62 | 105 | 55 | 131 | 457 | 77 |
N.S. |
1 | 1.03 | 0.72 | 0.69 | 1.17 | 0.61 | 1.46 | 5.08 | 0.86 |
time (sec) |
N/A | 0.284 | 0.245 | 47.766 | 0.461 | 0.234 | 0.202 | 0.814 | 4.152 |
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 | 144 | 137 | 137 | 97 | 128 | 92 | 226 | 514 | 125 |
N.S. |
1 | 0.95 | 0.95 | 0.67 | 0.89 | 0.64 | 1.57 | 3.57 | 0.87 |
time (sec) |
N/A | 0.314 | 0.312 | 133.412 | 0.428 | 0.237 | 0.291 | 0.919 | 4.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 134 | 102 | 122 | 155 | 310 | 0 | 189 | 228 |
N.S. |
1 | 1.06 | 0.80 | 0.96 | 1.22 | 2.44 | 0.00 | 1.49 | 1.80 |
time (sec) |
N/A | 0.670 | 1.723 | 8.870 | 0.293 | 0.238 | 0.000 | 0.518 | 7.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 102 | 93 | 100 | 109 | 202 | 0 | 125 | 136 |
N.S. |
1 | 1.03 | 0.94 | 1.01 | 1.10 | 2.04 | 0.00 | 1.26 | 1.37 |
time (sec) |
N/A | 0.501 | 1.476 | 1.834 | 0.272 | 0.244 | 0.000 | 0.484 | 6.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 62 | 123 | 93 | 82 | 107 | 107 | 234 | 102 |
N.S. |
1 | 1.02 | 2.02 | 1.52 | 1.34 | 1.75 | 1.75 | 3.84 | 1.67 |
time (sec) |
N/A | 0.370 | 1.564 | 1.460 | 0.291 | 0.253 | 0.195 | 0.604 | 4.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 31 | 19 | 75 | 17 | 36 | 901 | 66 |
N.S. |
1 | 1.00 | 0.97 | 0.59 | 2.34 | 0.53 | 1.12 | 28.16 | 2.06 |
time (sec) |
N/A | 0.221 | 0.192 | 6.812 | 0.313 | 0.225 | 0.132 | 0.707 | 3.984 |
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 | 88 | 87 | 145 | 56 | 105 | 48 | 116 | 929 | 130 |
N.S. |
1 | 0.99 | 1.65 | 0.64 | 1.19 | 0.55 | 1.32 | 10.56 | 1.48 |
time (sec) |
N/A | 0.414 | 0.746 | 26.521 | 0.355 | 0.227 | 0.217 | 0.851 | 4.788 |
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 | 106 | 99 | 180 | 85 | 123 | 76 | 190 | 465 | 134 |
N.S. |
1 | 0.93 | 1.70 | 0.80 | 1.16 | 0.72 | 1.79 | 4.39 | 1.26 |
time (sec) |
N/A | 0.417 | 0.613 | 81.925 | 0.406 | 0.238 | 0.311 | 0.941 | 5.109 |
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 | 124 | 107 | 226 | 120 | 145 | 104 | 275 | 1039 | 330 |
N.S. |
1 | 0.86 | 1.82 | 0.97 | 1.17 | 0.84 | 2.22 | 8.38 | 2.66 |
time (sec) |
N/A | 0.417 | 0.910 | 215.938 | 0.312 | 0.251 | 0.421 | 0.780 | 5.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 173 | 171 | 133 | 246 | 364 | 0 | 237 | 290 |
N.S. |
1 | 1.06 | 1.05 | 0.82 | 1.51 | 2.23 | 0.00 | 1.45 | 1.78 |
time (sec) |
N/A | 0.834 | 2.055 | 20.175 | 0.278 | 0.241 | 0.000 | 0.598 | 8.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 139 | 237 | 111 | 180 | 256 | 0 | 173 | 198 |
N.S. |
1 | 1.05 | 1.78 | 0.83 | 1.35 | 1.92 | 0.00 | 1.30 | 1.49 |
time (sec) |
N/A | 0.649 | 1.533 | 3.806 | 0.309 | 0.249 | 0.000 | 0.556 | 7.601 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 100 | 906 | 107 | 137 | 162 | 153 | 372 | 159 |
N.S. |
1 | 1.03 | 9.34 | 1.10 | 1.41 | 1.67 | 1.58 | 3.84 | 1.64 |
time (sec) |
N/A | 0.494 | 6.766 | 3.187 | 0.274 | 0.267 | 0.244 | 0.665 | 6.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 85 | 246 | 79 | 121 | 68 | 109 | 1299 | 88 |
N.S. |
1 | 1.09 | 3.15 | 1.01 | 1.55 | 0.87 | 1.40 | 16.65 | 1.13 |
time (sec) |
N/A | 0.405 | 0.944 | 13.925 | 0.435 | 0.249 | 0.244 | 0.972 | 4.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 145 | 38 | 118 | 34 | 80 | 915 | 130 |
N.S. |
1 | 1.00 | 2.20 | 0.58 | 1.79 | 0.52 | 1.21 | 13.86 | 1.97 |
time (sec) |
N/A | 0.334 | 0.552 | 47.411 | 0.416 | 0.239 | 0.227 | 1.083 | 4.878 |
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 | 102 | 107 | 181 | 74 | 149 | 62 | 156 | 1327 | 186 |
N.S. |
1 | 1.05 | 1.77 | 0.73 | 1.46 | 0.61 | 1.53 | 13.01 | 1.82 |
time (sec) |
N/A | 0.435 | 0.608 | 131.887 | 0.314 | 0.248 | 0.286 | 0.756 | 4.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 119 | 216 | 233 | 181 | 90 | 228 | 1409 | 145 |
N.S. |
1 | 0.99 | 1.80 | 1.94 | 1.51 | 0.75 | 1.90 | 11.74 | 1.21 |
time (sec) |
N/A | 0.455 | 0.911 | 0.825 | 0.295 | 0.237 | 0.392 | 0.809 | 6.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 94 | 81 | 377 | 160 | 267 | 0 | 160 | 146 |
N.S. |
1 | 0.86 | 0.74 | 3.46 | 1.47 | 2.45 | 0.00 | 1.47 | 1.34 |
time (sec) |
N/A | 0.283 | 0.842 | 1.150 | 0.297 | 0.233 | 0.000 | 0.863 | 4.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 72 | 63 | 102 | 108 | 229 | 0 | 108 | 151 |
N.S. |
1 | 0.88 | 0.77 | 1.24 | 1.32 | 2.79 | 0.00 | 1.32 | 1.84 |
time (sec) |
N/A | 0.261 | 0.529 | 181.819 | 0.347 | 0.236 | 0.000 | 0.809 | 4.047 |
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 | 55 | 50 | 36 | 91 | 108 | 191 | 0 | 108 | 151 |
N.S. |
1 | 0.91 | 0.65 | 1.65 | 1.96 | 3.47 | 0.00 | 1.96 | 2.75 |
time (sec) |
N/A | 0.246 | 0.382 | 66.858 | 0.335 | 0.237 | 0.000 | 0.777 | 3.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 72 | 80 | 21 | 153 | 0 | 82 | 114 |
N.S. |
1 | 1.00 | 2.67 | 2.96 | 0.78 | 5.67 | 0.00 | 3.04 | 4.22 |
time (sec) |
N/A | 0.215 | 0.345 | 20.703 | 0.359 | 0.229 | 0.000 | 0.749 | 3.750 |
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 | 117 | 125 | 71 | 72 | 165 | 177 | 178 | 222 | 73 |
N.S. |
1 | 1.07 | 0.61 | 0.62 | 1.41 | 1.51 | 1.52 | 1.90 | 0.62 |
time (sec) |
N/A | 0.547 | 0.179 | 0.151 | 0.459 | 0.248 | 0.249 | 0.399 | 4.399 |
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 | 83 | 78 | 62 | 85 | 86 | 125 | 131 | 146 | 70 |
N.S. |
1 | 0.94 | 0.75 | 1.02 | 1.04 | 1.51 | 1.58 | 1.76 | 0.84 |
time (sec) |
N/A | 0.260 | 0.594 | 14.134 | 0.451 | 0.237 | 0.242 | 0.939 | 3.722 |
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 | 65 | 49 | 68 | 88 | 51 | 102 | 450 | 64 |
N.S. |
1 | 0.89 | 0.67 | 0.93 | 1.21 | 0.70 | 1.40 | 6.16 | 0.88 |
time (sec) |
N/A | 0.268 | 0.270 | 48.941 | 0.392 | 0.249 | 0.252 | 0.704 | 4.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 36 | 38 | 93 | 34 | 80 | 187 | 53 |
N.S. |
1 | 0.91 | 0.65 | 0.69 | 1.69 | 0.62 | 1.45 | 3.40 | 0.96 |
time (sec) |
N/A | 0.251 | 0.116 | 135.100 | 0.514 | 0.234 | 0.256 | 0.699 | 4.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 301 | 103 | 62 | 162 | 267 | 63 |
N.S. |
1 | 1.00 | 0.89 | 11.15 | 3.81 | 2.30 | 6.00 | 9.89 | 2.33 |
time (sec) |
N/A | 0.223 | 0.176 | 1.381 | 0.594 | 0.236 | 0.308 | 0.785 | 3.741 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 137 | 123 | 331 | 164 | 83 | 209 | 857 | 122 |
N.S. |
1 | 0.95 | 0.85 | 2.30 | 1.14 | 0.58 | 1.45 | 5.95 | 0.85 |
time (sec) |
N/A | 0.308 | 0.332 | 0.696 | 1.334 | 0.248 | 0.373 | 0.902 | 4.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 181 | 159 | 361 | 187 | 120 | 301 | 914 | 171 |
N.S. |
1 | 0.91 | 0.80 | 1.82 | 0.94 | 0.61 | 1.52 | 4.62 | 0.86 |
time (sec) |
N/A | 0.347 | 0.639 | 0.788 | 0.430 | 0.260 | 0.492 | 0.883 | 5.556 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 176 | 115 | 122 | 215 | 310 | 0 | 189 | 228 |
N.S. |
1 | 1.05 | 0.69 | 0.73 | 1.29 | 1.86 | 0.00 | 1.13 | 1.37 |
time (sec) |
N/A | 0.805 | 2.105 | 8.776 | 0.330 | 0.249 | 0.000 | 0.722 | 7.799 |
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 | 130 | 137 | 151 | 118 | 173 | 216 | 197 | 510 | 222 |
N.S. |
1 | 1.05 | 1.16 | 0.91 | 1.33 | 1.66 | 1.52 | 3.92 | 1.71 |
time (sec) |
N/A | 0.645 | 1.781 | 7.326 | 0.317 | 0.240 | 0.292 | 0.812 | 8.254 |
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 | 98 | 103 | 130 | 111 | 154 | 122 | 148 | 1683 | 162 |
N.S. |
1 | 1.05 | 1.33 | 1.13 | 1.57 | 1.24 | 1.51 | 17.17 | 1.65 |
time (sec) |
N/A | 0.533 | 1.965 | 26.349 | 0.301 | 0.246 | 0.320 | 1.176 | 6.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 31 | 19 | 152 | 17 | 36 | 1669 | 104 |
N.S. |
1 | 1.00 | 0.97 | 0.59 | 4.75 | 0.53 | 1.12 | 52.16 | 3.25 |
time (sec) |
N/A | 0.219 | 0.420 | 81.448 | 0.631 | 0.233 | 0.204 | 0.887 | 4.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 104 | 122 | 56 | 187 | 48 | 121 | 1697 | 186 |
N.S. |
1 | 1.03 | 1.21 | 0.55 | 1.85 | 0.48 | 1.20 | 16.80 | 1.84 |
time (sec) |
N/A | 0.457 | 0.615 | 212.039 | 0.405 | 0.236 | 0.321 | 0.935 | 4.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 140 | 146 | 287 | 217 | 76 | 192 | 1725 | 79 |
N.S. |
1 | 0.99 | 1.04 | 2.04 | 1.54 | 0.54 | 1.36 | 12.23 | 0.56 |
time (sec) |
N/A | 0.559 | 0.730 | 0.793 | 0.309 | 0.243 | 0.399 | 0.947 | 4.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 148 | 170 | 317 | 246 | 104 | 265 | 1807 | 139 |
N.S. |
1 | 0.93 | 1.07 | 1.99 | 1.55 | 0.65 | 1.67 | 11.36 | 0.87 |
time (sec) |
N/A | 0.566 | 1.043 | 0.668 | 0.349 | 0.250 | 0.492 | 1.030 | 5.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 94 | 56 | 611 | 186 | 345 | 0 | 186 | 153 |
N.S. |
1 | 0.86 | 0.51 | 5.61 | 1.71 | 3.17 | 0.00 | 1.71 | 1.40 |
time (sec) |
N/A | 0.288 | 1.929 | 0.593 | 0.282 | 0.242 | 0.000 | 1.200 | 5.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 72 | 44 | 475 | 173 | 307 | 0 | 173 | 190 |
N.S. |
1 | 0.88 | 0.54 | 5.79 | 2.11 | 3.74 | 0.00 | 2.11 | 2.32 |
time (sec) |
N/A | 0.270 | 1.012 | 0.582 | 0.339 | 0.234 | 0.000 | 1.113 | 5.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 34 | 124 | 134 | 269 | 0 | 134 | 107 |
N.S. |
1 | 0.91 | 0.62 | 2.25 | 2.44 | 4.89 | 0.00 | 2.44 | 1.95 |
time (sec) |
N/A | 0.246 | 0.721 | 286.484 | 0.352 | 0.241 | 0.000 | 1.130 | 4.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 102 | 113 | 21 | 231 | 0 | 120 | 83 |
N.S. |
1 | 1.00 | 3.78 | 4.19 | 0.78 | 8.56 | 0.00 | 4.44 | 3.07 |
time (sec) |
N/A | 0.228 | 0.667 | 111.631 | 0.302 | 0.238 | 0.000 | 1.064 | 4.383 |
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 | 200 | 212 | 100 | 103 | 121 | 297 | 301 | 378 | 113 |
N.S. |
1 | 1.06 | 0.50 | 0.52 | 0.60 | 1.48 | 1.50 | 1.89 | 0.56 |
time (sec) |
N/A | 0.966 | 0.509 | 0.338 | 0.475 | 0.235 | 0.379 | 0.536 | 4.289 |
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 | 133 | 121 | 96 | 118 | 124 | 245 | 257 | 302 | 102 |
N.S. |
1 | 0.91 | 0.72 | 0.89 | 0.93 | 1.84 | 1.93 | 2.27 | 0.77 |
time (sec) |
N/A | 0.297 | 0.890 | 84.154 | 0.355 | 0.258 | 0.366 | 0.907 | 3.795 |
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 | 124 | 113 | 86 | 114 | 135 | 179 | 216 | 785 | 111 |
N.S. |
1 | 0.91 | 0.69 | 0.92 | 1.09 | 1.44 | 1.74 | 6.33 | 0.90 |
time (sec) |
N/A | 0.297 | 1.513 | 219.138 | 0.366 | 0.244 | 0.381 | 1.044 | 4.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 101 | 77 | 319 | 146 | 113 | 172 | 799 | 103 |
N.S. |
1 | 0.89 | 0.68 | 2.80 | 1.28 | 0.99 | 1.51 | 7.01 | 0.90 |
time (sec) |
N/A | 0.290 | 0.916 | 0.839 | 0.341 | 0.243 | 0.406 | 1.094 | 4.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 42 | 31 | 451 | 136 | 17 | 36 | 381 | 66 |
N.S. |
1 | 0.98 | 0.72 | 10.49 | 3.16 | 0.40 | 0.84 | 8.86 | 1.53 |
time (sec) |
N/A | 0.229 | 1.610 | 1.405 | 0.333 | 0.244 | 0.346 | 1.123 | 3.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 70 | 44 | 588 | 152 | 48 | 121 | 409 | 82 |
N.S. |
1 | 0.88 | 0.55 | 7.35 | 1.90 | 0.60 | 1.51 | 5.11 | 1.02 |
time (sec) |
N/A | 0.265 | 0.240 | 1.177 | 0.354 | 0.243 | 0.447 | 1.229 | 4.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 34 | 639 | 162 | 76 | 197 | 437 | 82 |
N.S. |
1 | 0.91 | 0.62 | 11.62 | 2.95 | 1.38 | 3.58 | 7.95 | 1.49 |
time (sec) |
N/A | 0.249 | 0.413 | 2.809 | 0.334 | 0.261 | 0.522 | 1.270 | 3.843 |
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 | 27 | 27 | 116 | 689 | 171 | 104 | 279 | 465 | 105 |
N.S. |
1 | 1.00 | 4.30 | 25.52 | 6.33 | 3.85 | 10.33 | 17.22 | 3.89 |
time (sec) |
N/A | 0.220 | 2.932 | 1.402 | 0.343 | 0.276 | 0.630 | 1.310 | 3.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 203 | 152 | 739 | 246 | 125 | 323 | 1457 | 195 |
N.S. |
1 | 0.90 | 0.68 | 3.28 | 1.09 | 0.56 | 1.44 | 6.48 | 0.87 |
time (sec) |
N/A | 0.359 | 0.976 | 2.592 | 0.375 | 0.297 | 0.693 | 1.529 | 5.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 247 | 186 | 789 | 269 | 162 | 413 | 1514 | 231 |
N.S. |
1 | 0.89 | 0.67 | 2.83 | 0.96 | 0.58 | 1.48 | 5.43 | 0.83 |
time (sec) |
N/A | 0.406 | 1.170 | 2.284 | 0.393 | 0.319 | 0.799 | 1.629 | 6.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 248 | 205 | 151 | 396 | 378 | 320 | 924 | 399 |
N.S. |
1 | 1.06 | 0.87 | 0.64 | 1.69 | 1.61 | 1.36 | 3.93 | 1.70 |
time (sec) |
N/A | 1.204 | 2.765 | 90.461 | 0.274 | 0.247 | 0.434 | 1.437 | 9.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | A | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 215 | 1540 | 147 | 352 | 284 | 277 | 2835 | 343 |
N.S. |
1 | 1.05 | 7.51 | 0.72 | 1.72 | 1.39 | 1.35 | 13.83 | 1.67 |
time (sec) |
N/A | 1.012 | 8.297 | 253.242 | 0.288 | 0.255 | 0.458 | 1.346 | 8.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | A | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 182 | 1162 | 322 | 326 | 190 | 235 | 2849 | 281 |
N.S. |
1 | 1.05 | 6.72 | 1.86 | 1.88 | 1.10 | 1.36 | 16.47 | 1.62 |
time (sec) |
N/A | 0.845 | 8.064 | 2.376 | 0.277 | 0.252 | 0.454 | 1.421 | 8.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 163 | 305 | 385 | 309 | 96 | 187 | 2863 | 207 |
N.S. |
1 | 1.07 | 2.01 | 2.53 | 2.03 | 0.63 | 1.23 | 18.84 | 1.36 |
time (sec) |
N/A | 0.730 | 3.173 | 1.562 | 0.268 | 0.254 | 0.484 | 1.544 | 8.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 146 | 447 | 302 | 34 | 80 | 2451 | 37 |
N.S. |
1 | 1.00 | 2.21 | 6.77 | 4.58 | 0.52 | 1.21 | 37.14 | 0.56 |
time (sec) |
N/A | 0.338 | 0.807 | 1.588 | 0.265 | 0.252 | 0.461 | 1.615 | 4.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 142 | 151 | 567 | 355 | 62 | 162 | 2863 | 65 |
N.S. |
1 | 1.04 | 1.11 | 4.17 | 2.61 | 0.46 | 1.19 | 21.05 | 0.48 |
time (sec) |
N/A | 0.617 | 0.959 | 1.875 | 0.435 | 0.260 | 0.575 | 1.734 | 4.812 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 218 | 168 | 617 | 405 | 90 | 240 | 2891 | 93 |
N.S. |
1 | 1.03 | 0.80 | 2.92 | 1.92 | 0.43 | 1.14 | 13.70 | 0.44 |
time (sec) |
N/A | 0.936 | 1.784 | 1.807 | 0.323 | 0.272 | 0.621 | 1.842 | 4.837 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 209 | 173 | 667 | 453 | 118 | 313 | 2919 | 222 |
N.S. |
1 | 0.99 | 0.82 | 3.15 | 2.14 | 0.56 | 1.48 | 13.77 | 1.05 |
time (sec) |
N/A | 0.784 | 2.106 | 1.804 | 0.500 | 0.283 | 0.738 | 1.889 | 6.412 |
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 | 107 | 92 | 56 | 58 | 87 | 146 | 0 | 87 | 92 |
N.S. |
1 | 0.86 | 0.52 | 0.54 | 0.81 | 1.36 | 0.00 | 0.81 | 0.86 |
time (sec) |
N/A | 0.275 | 0.269 | 0.451 | 0.283 | 0.234 | 0.000 | 0.405 | 4.347 |
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 | 80 | 70 | 46 | 47 | 67 | 109 | 0 | 67 | 114 |
N.S. |
1 | 0.88 | 0.58 | 0.59 | 0.84 | 1.36 | 0.00 | 0.84 | 1.42 |
time (sec) |
N/A | 0.270 | 0.168 | 0.369 | 0.255 | 0.227 | 0.000 | 0.392 | 3.944 |