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(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 34 | 22 | 0 | 20 | 51 | 51 | 28 |
N.S. |
1 | 1.00 | 1.21 | 0.79 | 0.00 | 0.71 | 1.82 | 1.82 | 1.00 |
time (sec) |
N/A | 0.322 | 0.261 | 0.229 | 0.000 | 0.244 | 0.140 | 0.469 | 6.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 53 | 39 | 39 | 0 | 37 | 107 | 100 | 56 |
N.S. |
1 | 0.91 | 0.67 | 0.67 | 0.00 | 0.64 | 1.84 | 1.72 | 0.97 |
time (sec) |
N/A | 0.348 | 5.122 | 0.232 | 0.000 | 0.234 | 0.195 | 0.612 | 5.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 53 | 37 | 39 | 0 | 51 | 151 | 132 | 67 |
N.S. |
1 | 0.85 | 0.60 | 0.63 | 0.00 | 0.82 | 2.44 | 2.13 | 1.08 |
time (sec) |
N/A | 0.336 | 5.154 | 0.292 | 0.000 | 0.251 | 0.239 | 0.728 | 6.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 75 | 66 | 72 | 116 | 166 | 245 | 166 | 96 |
N.S. |
1 | 0.85 | 0.75 | 0.82 | 1.32 | 1.89 | 2.78 | 1.89 | 1.09 |
time (sec) |
N/A | 0.356 | 3.472 | 0.485 | 0.305 | 0.245 | 0.426 | 0.847 | 5.531 |
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 | 82 | 65 | 66 | 61 | 100 | 137 | 201 | 137 | 117 |
N.S. |
1 | 0.79 | 0.80 | 0.74 | 1.22 | 1.67 | 2.45 | 1.67 | 1.43 |
time (sec) |
N/A | 0.375 | 2.744 | 0.335 | 0.312 | 0.278 | 0.351 | 0.670 | 5.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 44 | 41 | 38 | 52 | 108 | 156 | 351 | 39 |
N.S. |
1 | 0.75 | 0.69 | 0.64 | 0.88 | 1.83 | 2.64 | 5.95 | 0.66 |
time (sec) |
N/A | 0.294 | 0.143 | 0.137 | 0.294 | 0.250 | 0.266 | 0.644 | 5.554 |
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 | 61 | 53 | 39 | 39 | 68 | 79 | 112 | 79 | 80 |
N.S. |
1 | 0.87 | 0.64 | 0.64 | 1.11 | 1.30 | 1.84 | 1.30 | 1.31 |
time (sec) |
N/A | 0.372 | 2.401 | 0.237 | 0.281 | 0.247 | 0.220 | 0.494 | 5.927 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 55 | 21 | 45 | 45 | 66 | 45 | 34 |
N.S. |
1 | 1.00 | 2.20 | 0.84 | 1.80 | 1.80 | 2.64 | 1.80 | 1.36 |
time (sec) |
N/A | 0.271 | 0.216 | 0.167 | 0.287 | 0.230 | 0.154 | 0.420 | 5.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 62 | 55 | 81 | 0 | 118 | 133 | 175 | 64 |
N.S. |
1 | 0.87 | 0.77 | 1.14 | 0.00 | 1.66 | 1.87 | 2.46 | 0.90 |
time (sec) |
N/A | 0.344 | 2.013 | 0.229 | 0.000 | 0.301 | 0.225 | 0.467 | 6.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 66 | 52 | 87 | 0 | 79 | 167 | 151 | 76 |
N.S. |
1 | 0.80 | 0.63 | 1.05 | 0.00 | 0.95 | 2.01 | 1.82 | 0.92 |
time (sec) |
N/A | 0.344 | 5.385 | 0.249 | 0.000 | 0.278 | 0.272 | 0.527 | 5.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 45 | 34 | 22 | 0 | 20 | 51 | 68 | 59 |
N.S. |
1 | 0.90 | 0.68 | 0.44 | 0.00 | 0.40 | 1.02 | 1.36 | 1.18 |
time (sec) |
N/A | 0.320 | 0.325 | 0.274 | 0.000 | 0.254 | 0.168 | 0.705 | 6.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 73 | 49 | 44 | 0 | 37 | 107 | 132 | 77 |
N.S. |
1 | 0.84 | 0.56 | 0.51 | 0.00 | 0.43 | 1.23 | 1.52 | 0.89 |
time (sec) |
N/A | 0.348 | 5.159 | 0.290 | 0.000 | 0.250 | 0.245 | 0.804 | 5.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 72 | 47 | 52 | 0 | 51 | 151 | 164 | 88 |
N.S. |
1 | 0.80 | 0.52 | 0.58 | 0.00 | 0.57 | 1.68 | 1.82 | 0.98 |
time (sec) |
N/A | 0.340 | 5.217 | 0.369 | 0.000 | 0.231 | 0.308 | 1.011 | 6.191 |
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 | 100 | 75 | 84 | 72 | 132 | 178 | 264 | 178 | 95 |
N.S. |
1 | 0.75 | 0.84 | 0.72 | 1.32 | 1.78 | 2.64 | 1.78 | 0.95 |
time (sec) |
N/A | 0.392 | 1.060 | 0.571 | 0.301 | 0.243 | 0.495 | 0.941 | 6.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 54 | 49 | 46 | 68 | 149 | 219 | 615 | 82 |
N.S. |
1 | 0.70 | 0.64 | 0.60 | 0.88 | 1.94 | 2.84 | 7.99 | 1.06 |
time (sec) |
N/A | 0.298 | 0.249 | 0.236 | 0.284 | 0.238 | 0.390 | 1.094 | 5.845 |
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 | 82 | 65 | 75 | 50 | 100 | 120 | 175 | 120 | 117 |
N.S. |
1 | 0.79 | 0.91 | 0.61 | 1.22 | 1.46 | 2.13 | 1.46 | 1.43 |
time (sec) |
N/A | 0.380 | 0.880 | 0.340 | 0.299 | 0.235 | 0.346 | 0.689 | 5.692 |
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 | 58 | 53 | 55 | 39 | 68 | 91 | 131 | 91 | 80 |
N.S. |
1 | 0.91 | 0.95 | 0.67 | 1.17 | 1.57 | 2.26 | 1.57 | 1.38 |
time (sec) |
N/A | 0.331 | 0.758 | 0.254 | 0.306 | 0.240 | 0.260 | 0.632 | 5.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 51 | 22 | 60 | 57 | 82 | 57 | 78 |
N.S. |
1 | 1.00 | 2.04 | 0.88 | 2.40 | 2.28 | 3.28 | 2.28 | 3.12 |
time (sec) |
N/A | 0.280 | 0.379 | 0.211 | 0.303 | 0.228 | 0.184 | 0.528 | 5.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 81 | 65 | 102 | 0 | 169 | 175 | 189 | 85 |
N.S. |
1 | 0.85 | 0.68 | 1.07 | 0.00 | 1.78 | 1.84 | 1.99 | 0.89 |
time (sec) |
N/A | 0.363 | 0.944 | 0.242 | 0.000 | 0.250 | 0.244 | 0.533 | 5.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 82 | 64 | 105 | 0 | 135 | 199 | 206 | 93 |
N.S. |
1 | 0.81 | 0.63 | 1.04 | 0.00 | 1.34 | 1.97 | 2.04 | 0.92 |
time (sec) |
N/A | 0.366 | 5.869 | 0.272 | 0.000 | 0.242 | 0.292 | 0.622 | 5.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 90 | 69 | 110 | 0 | 93 | 212 | 183 | 103 |
N.S. |
1 | 0.79 | 0.61 | 0.96 | 0.00 | 0.82 | 1.86 | 1.61 | 0.90 |
time (sec) |
N/A | 0.360 | 5.507 | 0.313 | 0.000 | 0.244 | 0.313 | 0.782 | 5.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 45 | 34 | 22 | 0 | 20 | 51 | 83 | 76 |
N.S. |
1 | 0.90 | 0.68 | 0.44 | 0.00 | 0.40 | 1.02 | 1.66 | 1.52 |
time (sec) |
N/A | 0.319 | 0.291 | 0.511 | 0.000 | 0.241 | 0.215 | 0.955 | 6.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 88 | 49 | 44 | 0 | 37 | 107 | 164 | 98 |
N.S. |
1 | 1.01 | 0.56 | 0.51 | 0.00 | 0.43 | 1.23 | 1.89 | 1.13 |
time (sec) |
N/A | 0.334 | 5.181 | 0.349 | 0.000 | 0.239 | 0.311 | 1.166 | 5.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 81 | 63 | 97 | 0 | 129 | 143 | 189 | 82 |
N.S. |
1 | 0.85 | 0.66 | 1.02 | 0.00 | 1.36 | 1.51 | 1.99 | 0.86 |
time (sec) |
N/A | 0.355 | 4.153 | 0.288 | 0.000 | 0.248 | 0.228 | 0.534 | 5.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 62 | 53 | 81 | 0 | 88 | 100 | 175 | 61 |
N.S. |
1 | 0.87 | 0.75 | 1.14 | 0.00 | 1.24 | 1.41 | 2.46 | 0.86 |
time (sec) |
N/A | 0.348 | 3.405 | 0.224 | 0.000 | 0.245 | 0.197 | 0.468 | 5.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 48 | 45 | 59 | 0 | 39 | 68 | 119 | 45 |
N.S. |
1 | 0.87 | 0.82 | 1.07 | 0.00 | 0.71 | 1.24 | 2.16 | 0.82 |
time (sec) |
N/A | 0.351 | 2.545 | 0.213 | 0.000 | 0.236 | 0.176 | 0.419 | 5.631 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 32 | 20 | 0 | 18 | 37 | 31 | 19 |
N.S. |
1 | 1.00 | 1.39 | 0.87 | 0.00 | 0.78 | 1.61 | 1.35 | 0.83 |
time (sec) |
N/A | 0.284 | 0.138 | 0.186 | 0.000 | 0.230 | 0.103 | 0.365 | 5.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 32 | 29 | 31 | 0 | 46 | 117 | 43 | 32 |
N.S. |
1 | 0.86 | 0.78 | 0.84 | 0.00 | 1.24 | 3.16 | 1.16 | 0.86 |
time (sec) |
N/A | 0.284 | 0.036 | 0.181 | 0.000 | 0.235 | 0.141 | 0.336 | 5.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 79 | 90 | 73 | 0 | 57 | 178 | 107 | 66 |
N.S. |
1 | 0.91 | 1.03 | 0.84 | 0.00 | 0.66 | 2.05 | 1.23 | 0.76 |
time (sec) |
N/A | 0.444 | 1.080 | 0.257 | 0.000 | 0.236 | 0.206 | 0.395 | 5.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 118 | 100 | 94 | 0 | 68 | 214 | 115 | 77 |
N.S. |
1 | 0.95 | 0.81 | 0.76 | 0.00 | 0.55 | 1.73 | 0.93 | 0.62 |
time (sec) |
N/A | 0.405 | 1.257 | 0.262 | 0.000 | 0.232 | 0.228 | 0.487 | 6.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 82 | 62 | 105 | 0 | 105 | 155 | 206 | 90 |
N.S. |
1 | 0.81 | 0.61 | 1.04 | 0.00 | 1.04 | 1.53 | 2.04 | 0.89 |
time (sec) |
N/A | 0.366 | 3.539 | 0.277 | 0.000 | 0.245 | 0.276 | 0.607 | 5.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 66 | 50 | 80 | 0 | 54 | 122 | 151 | 73 |
N.S. |
1 | 0.80 | 0.60 | 0.96 | 0.00 | 0.65 | 1.47 | 1.82 | 0.88 |
time (sec) |
N/A | 0.349 | 3.146 | 0.264 | 0.000 | 0.237 | 0.229 | 0.512 | 6.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 34 | 22 | 0 | 20 | 46 | 51 | 28 |
N.S. |
1 | 1.00 | 1.21 | 0.79 | 0.00 | 0.71 | 1.64 | 1.82 | 1.00 |
time (sec) |
N/A | 0.323 | 0.297 | 0.233 | 0.000 | 0.231 | 0.131 | 0.464 | 5.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 0 | 33 | 88 | 61 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.00 | 1.32 | 3.52 | 2.44 | 0.84 |
time (sec) |
N/A | 0.288 | 0.927 | 0.198 | 0.000 | 0.226 | 0.148 | 0.410 | 6.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 96 | 90 | 73 | 0 | 57 | 172 | 107 | 66 |
N.S. |
1 | 0.95 | 0.89 | 0.72 | 0.00 | 0.56 | 1.70 | 1.06 | 0.65 |
time (sec) |
N/A | 0.388 | 0.908 | 0.226 | 0.000 | 0.237 | 0.184 | 0.396 | 5.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 58 | 39 | 51 | 0 | 68 | 221 | 57 | 38 |
N.S. |
1 | 0.91 | 0.61 | 0.80 | 0.00 | 1.06 | 3.45 | 0.89 | 0.59 |
time (sec) |
N/A | 0.340 | 0.062 | 0.166 | 0.000 | 0.259 | 0.230 | 0.437 | 6.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 105 | 134 | 114 | 0 | 79 | 258 | 128 | 88 |
N.S. |
1 | 0.92 | 1.18 | 1.00 | 0.00 | 0.69 | 2.26 | 1.12 | 0.77 |
time (sec) |
N/A | 0.521 | 1.281 | 0.267 | 0.000 | 0.231 | 0.307 | 0.561 | 5.913 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 123 | 87 | 139 | 0 | 163 | 246 | 272 | 139 |
N.S. |
1 | 0.80 | 0.56 | 0.90 | 0.00 | 1.06 | 1.60 | 1.77 | 0.90 |
time (sec) |
N/A | 0.393 | 5.980 | 0.332 | 0.000 | 0.239 | 0.388 | 1.063 | 6.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 104 | 80 | 126 | 0 | 120 | 202 | 240 | 138 |
N.S. |
1 | 0.78 | 0.60 | 0.94 | 0.00 | 0.90 | 1.51 | 1.79 | 1.03 |
time (sec) |
N/A | 0.382 | 3.824 | 0.339 | 0.000 | 0.239 | 0.358 | 0.937 | 6.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 90 | 67 | 101 | 0 | 68 | 168 | 183 | 102 |
N.S. |
1 | 0.79 | 0.59 | 0.89 | 0.00 | 0.60 | 1.47 | 1.61 | 0.89 |
time (sec) |
N/A | 0.351 | 2.954 | 0.298 | 0.000 | 0.243 | 0.304 | 0.788 | 5.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 45 | 34 | 22 | 0 | 20 | 46 | 68 | 55 |
N.S. |
1 | 0.90 | 0.68 | 0.44 | 0.00 | 0.40 | 0.92 | 1.36 | 1.10 |
time (sec) |
N/A | 0.331 | 0.275 | 0.244 | 0.000 | 0.236 | 0.170 | 0.693 | 5.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 53 | 39 | 39 | 0 | 37 | 95 | 100 | 56 |
N.S. |
1 | 0.91 | 0.67 | 0.67 | 0.00 | 0.64 | 1.64 | 1.72 | 0.97 |
time (sec) |
N/A | 0.352 | 2.061 | 0.288 | 0.000 | 0.232 | 0.196 | 0.628 | 5.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 21 | 0 | 45 | 129 | 90 | 20 |
N.S. |
1 | 1.00 | 0.92 | 0.84 | 0.00 | 1.80 | 5.16 | 3.60 | 0.80 |
time (sec) |
N/A | 0.290 | 0.368 | 0.263 | 0.000 | 0.239 | 0.181 | 0.531 | 5.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 118 | 102 | 94 | 0 | 68 | 207 | 115 | 77 |
N.S. |
1 | 0.90 | 0.78 | 0.72 | 0.00 | 0.52 | 1.58 | 0.88 | 0.59 |
time (sec) |
N/A | 0.392 | 0.959 | 0.284 | 0.000 | 0.237 | 0.235 | 0.457 | 5.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 140 | 134 | 114 | 0 | 79 | 258 | 128 | 87 |
N.S. |
1 | 0.87 | 0.83 | 0.71 | 0.00 | 0.49 | 1.60 | 0.80 | 0.54 |
time (sec) |
N/A | 0.414 | 1.100 | 0.253 | 0.000 | 0.237 | 0.309 | 0.563 | 6.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 84 | 49 | 71 | 0 | 90 | 296 | 67 | 57 |
N.S. |
1 | 0.92 | 0.54 | 0.78 | 0.00 | 0.99 | 3.25 | 0.74 | 0.63 |
time (sec) |
N/A | 0.424 | 0.071 | 0.199 | 0.000 | 0.238 | 0.342 | 0.578 | 5.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 124 | 90 | 147 | 0 | 134 | 243 | 270 | 170 |
N.S. |
1 | 0.78 | 0.56 | 0.92 | 0.00 | 0.84 | 1.52 | 1.69 | 1.06 |
time (sec) |
N/A | 0.384 | 5.447 | 0.388 | 0.000 | 0.251 | 0.423 | 1.227 | 8.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 108 | 75 | 122 | 0 | 82 | 209 | 215 | 146 |
N.S. |
1 | 0.74 | 0.51 | 0.84 | 0.00 | 0.56 | 1.43 | 1.47 | 1.00 |
time (sec) |
N/A | 0.378 | 1.917 | 0.334 | 0.000 | 0.245 | 0.363 | 1.059 | 6.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 45 | 34 | 22 | 0 | 20 | 46 | 83 | 69 |
N.S. |
1 | 0.90 | 0.68 | 0.44 | 0.00 | 0.40 | 0.92 | 1.66 | 1.38 |
time (sec) |
N/A | 0.318 | 0.679 | 0.293 | 0.000 | 0.227 | 0.207 | 0.876 | 5.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 73 | 49 | 44 | 0 | 37 | 95 | 132 | 75 |
N.S. |
1 | 0.84 | 0.56 | 0.51 | 0.00 | 0.43 | 1.09 | 1.52 | 0.86 |
time (sec) |
N/A | 0.352 | 2.111 | 0.309 | 0.000 | 0.233 | 0.252 | 0.813 | 6.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 53 | 37 | 39 | 0 | 51 | 139 | 132 | 64 |
N.S. |
1 | 0.85 | 0.60 | 0.63 | 0.00 | 0.82 | 2.24 | 2.13 | 1.03 |
time (sec) |
N/A | 0.358 | 1.563 | 0.265 | 0.000 | 0.236 | 0.246 | 0.709 | 5.928 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 0 | 57 | 167 | 117 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.00 | 2.28 | 6.68 | 4.68 | 0.84 |
time (sec) |
N/A | 0.294 | 0.351 | 0.294 | 0.000 | 0.232 | 0.213 | 0.617 | 5.730 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 140 | 140 | 115 | 0 | 79 | 246 | 127 | 88 |
N.S. |
1 | 0.86 | 0.86 | 0.71 | 0.00 | 0.49 | 1.52 | 0.78 | 0.54 |
time (sec) |
N/A | 0.408 | 0.908 | 0.307 | 0.000 | 0.235 | 0.264 | 0.541 | 6.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 162 | 145 | 135 | 0 | 90 | 296 | 135 | 98 |
N.S. |
1 | 0.84 | 0.75 | 0.70 | 0.00 | 0.47 | 1.53 | 0.70 | 0.51 |
time (sec) |
N/A | 0.421 | 1.138 | 0.312 | 0.000 | 0.231 | 0.358 | 0.609 | 7.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 184 | 156 | 155 | 0 | 101 | 333 | 147 | 109 |
N.S. |
1 | 0.83 | 0.70 | 0.70 | 0.00 | 0.45 | 1.49 | 0.66 | 0.49 |
time (sec) |
N/A | 0.446 | 1.396 | 0.291 | 0.000 | 0.236 | 0.411 | 0.760 | 8.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 79 | 51 | 66 | 67 | 83 | 0 | 0 | 155 |
N.S. |
1 | 0.86 | 0.55 | 0.72 | 0.73 | 0.90 | 0.00 | 0.00 | 1.68 |
time (sec) |
N/A | 0.389 | 1.722 | 1.613 | 0.207 | 0.246 | 0.000 | 0.000 | 8.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 55 | 37 | 47 | 45 | 57 | 0 | 0 | 87 |
N.S. |
1 | 0.92 | 0.62 | 0.78 | 0.75 | 0.95 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.381 | 1.393 | 0.948 | 0.219 | 0.242 | 0.000 | 0.000 | 5.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 19 | 26 | 42 | 19 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.76 | 1.04 | 1.68 | 0.76 | 1.16 |
time (sec) |
N/A | 0.316 | 0.544 | 0.480 | 0.215 | 0.239 | 1.347 | 0.359 | 0.658 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 87 | 94 | 78 | 106 | 250 | 0 | 0 | 81 |
N.S. |
1 | 0.92 | 0.99 | 0.82 | 1.12 | 2.63 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.382 | 0.755 | 0.771 | 0.303 | 0.246 | 0.000 | 0.000 | 0.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 134 | 53 | 117 | 153 | 275 | 0 | 0 | 132 |
N.S. |
1 | 0.97 | 0.38 | 0.85 | 1.11 | 1.99 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.417 | 0.778 | 0.717 | 0.294 | 0.243 | 0.000 | 0.000 | 6.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 53 | 156 | 192 | 286 | 0 | 0 | 179 |
N.S. |
1 | 1.00 | 0.29 | 0.86 | 1.06 | 1.58 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.425 | 0.771 | 0.654 | 0.297 | 0.241 | 0.000 | 0.000 | 6.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 81 | 60 | 66 | 67 | 98 | 0 | 0 | 95 |
N.S. |
1 | 0.86 | 0.64 | 0.70 | 0.71 | 1.04 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.399 | 2.096 | 0.658 | 0.247 | 0.243 | 0.000 | 0.000 | 10.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 57 | 50 | 47 | 46 | 71 | 0 | 0 | 168 |
N.S. |
1 | 0.92 | 0.81 | 0.76 | 0.74 | 1.15 | 0.00 | 0.00 | 2.71 |
time (sec) |
N/A | 0.384 | 1.538 | 0.585 | 0.319 | 0.241 | 0.000 | 0.000 | 8.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 22 | 19 | 39 | 44 | 19 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.70 | 1.44 | 1.63 | 0.70 | 1.74 |
time (sec) |
N/A | 0.312 | 0.680 | 0.424 | 0.294 | 0.240 | 1.349 | 0.418 | 0.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 79 | 126 | 77 | 106 | 256 | 0 | 0 | 83 |
N.S. |
1 | 0.83 | 1.33 | 0.81 | 1.12 | 2.69 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.393 | 1.197 | 0.642 | 0.472 | 0.243 | 0.000 | 0.000 | 0.324 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 128 | 53 | 97 | 151 | 291 | 0 | 0 | 134 |
N.S. |
1 | 0.88 | 0.36 | 0.66 | 1.03 | 1.99 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.415 | 1.077 | 0.577 | 0.736 | 0.246 | 0.000 | 0.000 | 5.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 175 | 53 | 116 | 192 | 304 | 0 | 0 | 181 |
N.S. |
1 | 0.91 | 0.27 | 0.60 | 0.99 | 1.58 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.443 | 1.113 | 0.650 | 0.318 | 0.239 | 0.000 | 0.000 | 6.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 81 | 66 | 66 | 67 | 116 | 0 | 0 | 97 |
N.S. |
1 | 0.86 | 0.70 | 0.70 | 0.71 | 1.23 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 0.406 | 2.967 | 0.740 | 0.229 | 0.258 | 0.000 | 0.000 | 9.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 57 | 54 | 47 | 46 | 87 | 0 | 0 | 83 |
N.S. |
1 | 0.92 | 0.87 | 0.76 | 0.74 | 1.40 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.371 | 2.097 | 0.628 | 0.208 | 0.239 | 0.000 | 0.000 | 11.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 22 | 19 | 53 | 44 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.70 | 1.96 | 1.63 | 0.00 | 4.44 |
time (sec) |
N/A | 0.330 | 0.898 | 0.424 | 0.208 | 0.241 | 3.376 | 0.000 | 0.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 103 | 53 | 95 | 128 | 261 | 0 | 0 | 109 |
N.S. |
1 | 0.82 | 0.42 | 0.76 | 1.02 | 2.09 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.400 | 1.151 | 0.579 | 0.298 | 0.251 | 0.000 | 0.000 | 0.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 120 | 160 | 95 | 153 | 299 | 0 | 0 | 135 |
N.S. |
1 | 0.82 | 1.10 | 0.65 | 1.05 | 2.05 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.412 | 2.060 | 0.635 | 0.304 | 0.246 | 0.000 | 0.000 | 0.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 169 | 53 | 114 | 192 | 312 | 0 | 0 | 181 |
N.S. |
1 | 0.88 | 0.27 | 0.59 | 0.99 | 1.62 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.437 | 1.781 | 0.628 | 0.294 | 0.243 | 0.000 | 0.000 | 6.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 77 | 49 | 66 | 70 | 74 | 0 | 0 | 113 |
N.S. |
1 | 0.86 | 0.54 | 0.73 | 0.78 | 0.82 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 0.405 | 2.203 | 0.653 | 0.221 | 0.239 | 0.000 | 0.000 | 5.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 53 | 35 | 47 | 45 | 48 | 0 | 0 | 77 |
N.S. |
1 | 0.91 | 0.60 | 0.81 | 0.78 | 0.83 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.380 | 1.809 | 0.641 | 0.206 | 0.238 | 0.000 | 0.000 | 5.861 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 19 | 43 | 44 | 0 | 65 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.76 | 1.72 | 1.76 | 0.00 | 2.60 |
time (sec) |
N/A | 0.309 | 0.684 | 0.513 | 0.212 | 0.231 | 1.169 | 0.000 | 6.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 115 | 53 | 102 | 126 | 272 | 0 | 0 | 113 |
N.S. |
1 | 0.93 | 0.43 | 0.82 | 1.02 | 2.19 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.394 | 0.649 | 0.619 | 0.306 | 0.256 | 0.000 | 0.000 | 6.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 162 | 53 | 120 | 169 | 295 | 0 | 0 | 156 |
N.S. |
1 | 0.97 | 0.32 | 0.72 | 1.01 | 1.77 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.427 | 0.926 | 0.631 | 0.294 | 0.246 | 0.000 | 0.000 | 5.736 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 209 | 53 | 139 | 208 | 306 | 0 | 0 | 202 |
N.S. |
1 | 1.00 | 0.25 | 0.66 | 0.99 | 1.46 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.431 | 0.940 | 0.619 | 0.295 | 0.252 | 0.000 | 0.000 | 6.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 77 | 64 | 64 | 68 | 62 | 0 | 0 | 98 |
N.S. |
1 | 0.86 | 0.71 | 0.71 | 0.76 | 0.69 | 0.00 | 0.00 | 1.09 |
time (sec) |
N/A | 0.422 | 3.808 | 0.628 | 0.211 | 0.234 | 0.000 | 0.000 | 6.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 55 | 55 | 44 | 44 | 62 | 0 | 0 | 98 |
N.S. |
1 | 0.92 | 0.92 | 0.73 | 0.73 | 1.03 | 0.00 | 0.00 | 1.63 |
time (sec) |
N/A | 0.392 | 3.134 | 0.560 | 0.196 | 0.230 | 0.000 | 0.000 | 6.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 22 | 19 | 56 | 46 | 0 | 93 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.70 | 2.07 | 1.70 | 0.00 | 3.44 |
time (sec) |
N/A | 0.335 | 1.061 | 0.450 | 0.233 | 0.237 | 5.705 | 0.000 | 6.452 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 147 | 53 | 121 | 141 | 297 | 0 | 0 | 139 |
N.S. |
1 | 0.94 | 0.34 | 0.78 | 0.90 | 1.90 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.419 | 1.049 | 0.580 | 0.310 | 0.245 | 0.000 | 0.000 | 0.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 194 | 53 | 139 | 184 | 320 | 0 | 0 | 182 |
N.S. |
1 | 0.97 | 0.27 | 0.70 | 0.92 | 1.61 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.441 | 1.430 | 0.577 | 0.289 | 0.250 | 0.000 | 0.000 | 6.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 241 | 53 | 158 | 223 | 331 | 0 | 0 | 229 |
N.S. |
1 | 1.00 | 0.22 | 0.65 | 0.92 | 1.37 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.469 | 1.605 | 0.588 | 0.297 | 0.254 | 0.000 | 0.000 | 6.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 79 | 66 | 57 | 65 | 76 | 0 | 0 | 121 |
N.S. |
1 | 0.86 | 0.72 | 0.62 | 0.71 | 0.83 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.396 | 5.443 | 0.645 | 0.218 | 0.232 | 0.000 | 0.000 | 7.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 57 | 54 | 47 | 44 | 76 | 0 | 0 | 123 |
N.S. |
1 | 0.92 | 0.87 | 0.76 | 0.71 | 1.23 | 0.00 | 0.00 | 1.98 |
time (sec) |
N/A | 0.399 | 4.830 | 0.603 | 0.203 | 0.232 | 0.000 | 0.000 | 6.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 22 | 19 | 68 | 46 | 0 | 118 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.70 | 2.52 | 1.70 | 0.00 | 4.37 |
time (sec) |
N/A | 0.331 | 1.398 | 0.420 | 0.207 | 0.230 | 8.448 | 0.000 | 6.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 179 | 53 | 140 | 162 | 316 | 0 | 0 | 165 |
N.S. |
1 | 0.95 | 0.28 | 0.74 | 0.86 | 1.68 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.440 | 1.234 | 0.622 | 0.295 | 0.251 | 0.000 | 0.000 | 0.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 226 | 53 | 158 | 205 | 339 | 0 | 0 | 208 |
N.S. |
1 | 0.98 | 0.23 | 0.68 | 0.89 | 1.47 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.459 | 2.325 | 0.587 | 0.289 | 0.266 | 0.000 | 0.000 | 6.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 273 | 53 | 177 | 244 | 350 | 0 | 0 | 255 |
N.S. |
1 | 1.00 | 0.19 | 0.65 | 0.89 | 1.28 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.468 | 2.367 | 0.571 | 0.289 | 0.266 | 0.000 | 0.000 | 6.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 157 | 191 | 154 | 662 | 361 | 0 | 311 | 0 |
N.S. |
1 | 1.02 | 1.24 | 1.00 | 4.30 | 2.34 | 0.00 | 2.02 | 0.00 |
time (sec) |
N/A | 0.335 | 3.236 | 1.167 | 0.375 | 0.276 | 0.000 | 1.857 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 108 | 176 | 122 | 447 | 289 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.66 | 1.15 | 4.22 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 1.620 | 0.764 | 0.370 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 63 | 96 | 104 | 217 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 1.00 | 1.52 | 1.65 | 3.44 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.271 | 0.717 | 0.794 | 0.354 | 0.257 | 0.000 | 0.000 | 7.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 50 | 35 | 63 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 1.00 | 1.22 | 0.85 | 1.54 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.264 | 0.729 | 0.871 | 0.300 | 0.239 | 0.000 | 0.000 | 0.978 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 99 | 68 | 74 | 0 | 75 | 0 | 0 | 135 |
N.S. |
1 | 1.10 | 0.76 | 0.82 | 0.00 | 0.83 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.293 | 0.993 | 0.887 | 0.000 | 0.244 | 0.000 | 0.000 | 7.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 153 | 80 | 85 | 0 | 86 | 0 | 0 | 160 |
N.S. |
1 | 1.12 | 0.59 | 0.62 | 0.00 | 0.63 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.307 | 1.467 | 0.853 | 0.000 | 0.241 | 0.000 | 0.000 | 7.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 207 | 90 | 95 | 0 | 97 | 0 | 0 | 183 |
N.S. |
1 | 1.14 | 0.49 | 0.52 | 0.00 | 0.53 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.325 | 1.977 | 0.848 | 0.000 | 0.239 | 0.000 | 0.000 | 8.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 157 | 137 | 186 | 887 | 432 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.86 | 1.17 | 5.58 | 2.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 2.475 | 0.790 | 0.423 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 111 | 121 | 128 | 641 | 360 | 0 | 293 | 0 |
N.S. |
1 | 0.98 | 1.07 | 1.13 | 5.67 | 3.19 | 0.00 | 2.59 | 0.00 |
time (sec) |
N/A | 0.291 | 2.036 | 0.696 | 0.361 | 0.262 | 0.000 | 1.749 | 0.000 |