Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 119 | 75 | 73 | 84 | 75 | 216 | 92 | 107 |
N.S. |
1 | 1.04 | 0.66 | 0.64 | 0.74 | 0.66 | 1.89 | 0.81 | 0.94 |
time (sec) |
N/A | 0.458 | 0.138 | 2.449 | 0.221 | 0.271 | 0.343 | 0.309 | 16.482 |
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 | 92 | 93 | 65 | 64 | 69 | 64 | 168 | 77 | 93 |
N.S. |
1 | 1.01 | 0.71 | 0.70 | 0.75 | 0.70 | 1.83 | 0.84 | 1.01 |
time (sec) |
N/A | 0.374 | 0.101 | 2.254 | 0.242 | 0.335 | 0.228 | 0.331 | 16.631 |
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 | 76 | 81 | 73 | 53 | 57 | 53 | 144 | 62 | 79 |
N.S. |
1 | 1.07 | 0.96 | 0.70 | 0.75 | 0.70 | 1.89 | 0.82 | 1.04 |
time (sec) |
N/A | 0.363 | 0.065 | 2.191 | 0.220 | 0.277 | 0.167 | 0.320 | 17.686 |
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 | 55 | 57 | 40 | 46 | 42 | 92 | 47 | 55 |
N.S. |
1 | 1.02 | 1.06 | 0.74 | 0.85 | 0.78 | 1.70 | 0.87 | 1.02 |
time (sec) |
N/A | 0.287 | 0.071 | 1.662 | 0.225 | 0.261 | 0.120 | 0.308 | 14.560 |
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 | 38 | 38 | 32 | 29 | 34 | 29 | 66 | 31 | 50 |
N.S. |
1 | 1.00 | 0.84 | 0.76 | 0.89 | 0.76 | 1.74 | 0.82 | 1.32 |
time (sec) |
N/A | 0.189 | 0.048 | 0.714 | 0.217 | 0.263 | 0.100 | 0.301 | 15.134 |
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 | 15 | 15 | 26 | 16 | 15 | 17 | 17 | 15 | 15 |
N.S. |
1 | 1.00 | 1.73 | 1.07 | 1.00 | 1.13 | 1.13 | 1.00 | 1.00 |
time (sec) |
N/A | 0.146 | 0.003 | 0.333 | 0.243 | 0.256 | 0.059 | 0.304 | 13.686 |
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 | 16 | 16 | 16 | 29 | 28 | 36 | 49 | 43 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 1.75 | 2.25 | 3.06 | 2.69 | 1.25 |
time (sec) |
N/A | 0.224 | 0.007 | 1.144 | 0.233 | 0.268 | 2.511 | 0.337 | 13.698 |
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 | 24 | 24 | 24 | 30 | 38 | 60 | 0 | 63 | 47 |
N.S. |
1 | 1.00 | 1.00 | 1.25 | 1.58 | 2.50 | 0.00 | 2.62 | 1.96 |
time (sec) |
N/A | 0.285 | 0.008 | 1.781 | 0.220 | 0.277 | 0.000 | 0.324 | 13.797 |
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 | 47 | 48 | 47 | 47 | 58 | 74 | 0 | 80 | 75 |
N.S. |
1 | 1.02 | 1.00 | 1.00 | 1.23 | 1.57 | 0.00 | 1.70 | 1.60 |
time (sec) |
N/A | 0.366 | 0.011 | 2.257 | 0.242 | 0.278 | 0.000 | 0.337 | 14.610 |
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 | 63 | 64 | 60 | 60 | 70 | 88 | 0 | 96 | 102 |
N.S. |
1 | 1.02 | 0.95 | 0.95 | 1.11 | 1.40 | 0.00 | 1.52 | 1.62 |
time (sec) |
N/A | 0.388 | 0.103 | 2.284 | 0.212 | 0.271 | 0.000 | 0.341 | 16.521 |
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 | 85 | 90 | 56 | 73 | 95 | 99 | 0 | 110 | 130 |
N.S. |
1 | 1.06 | 0.66 | 0.86 | 1.12 | 1.16 | 0.00 | 1.29 | 1.53 |
time (sec) |
N/A | 0.485 | 0.129 | 2.684 | 0.231 | 0.257 | 0.000 | 0.321 | 17.611 |
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 | 101 | 102 | 65 | 83 | 107 | 110 | 0 | 124 | 158 |
N.S. |
1 | 1.01 | 0.64 | 0.82 | 1.06 | 1.09 | 0.00 | 1.23 | 1.56 |
time (sec) |
N/A | 0.512 | 0.199 | 2.496 | 0.232 | 0.261 | 0.000 | 0.307 | 19.005 |
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 | 129 | 129 | 73 | 75 | 121 | 89 | 343 | 106 | 121 |
N.S. |
1 | 1.00 | 0.57 | 0.58 | 0.94 | 0.69 | 2.66 | 0.82 | 0.94 |
time (sec) |
N/A | 0.352 | 0.155 | 2.974 | 0.233 | 0.268 | 0.370 | 0.307 | 16.985 |
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 | 103 | 103 | 61 | 64 | 95 | 76 | 221 | 89 | 105 |
N.S. |
1 | 1.00 | 0.59 | 0.62 | 0.92 | 0.74 | 2.15 | 0.86 | 1.02 |
time (sec) |
N/A | 0.312 | 0.075 | 2.761 | 0.217 | 0.264 | 0.254 | 0.342 | 17.331 |
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 | 87 | 87 | 53 | 55 | 83 | 63 | 211 | 72 | 89 |
N.S. |
1 | 1.00 | 0.61 | 0.63 | 0.95 | 0.72 | 2.43 | 0.83 | 1.02 |
time (sec) |
N/A | 0.290 | 0.084 | 2.258 | 0.221 | 0.259 | 0.183 | 0.309 | 17.201 |
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 | 57 | 75 | 41 | 42 | 61 | 49 | 107 | 54 | 61 |
N.S. |
1 | 1.32 | 0.72 | 0.74 | 1.07 | 0.86 | 1.88 | 0.95 | 1.07 |
time (sec) |
N/A | 0.272 | 0.055 | 1.422 | 0.225 | 0.254 | 0.126 | 0.306 | 13.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 34 | 31 | 45 | 36 | 78 | 38 | 57 |
N.S. |
1 | 1.00 | 0.76 | 0.69 | 1.00 | 0.80 | 1.73 | 0.84 | 1.27 |
time (sec) |
N/A | 0.193 | 0.083 | 0.701 | 0.227 | 0.252 | 0.092 | 0.301 | 14.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 47 | 44 | 43 | 53 | 0 | 79 | 33 |
N.S. |
1 | 1.00 | 1.38 | 1.29 | 1.26 | 1.56 | 0.00 | 2.32 | 0.97 |
time (sec) |
N/A | 0.329 | 0.026 | 1.226 | 0.213 | 0.254 | 0.000 | 0.330 | 14.234 |
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 | 34 | 34 | 28 | 44 | 49 | 76 | 0 | 79 | 56 |
N.S. |
1 | 1.00 | 0.82 | 1.29 | 1.44 | 2.24 | 0.00 | 2.32 | 1.65 |
time (sec) |
N/A | 0.240 | 0.017 | 1.887 | 0.219 | 0.257 | 0.000 | 0.329 | 14.195 |
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 | 54 | 54 | 54 | 70 | 88 | 83 | 0 | 90 | 83 |
N.S. |
1 | 1.00 | 1.00 | 1.30 | 1.63 | 1.54 | 0.00 | 1.67 | 1.54 |
time (sec) |
N/A | 0.271 | 0.011 | 2.236 | 0.210 | 0.256 | 0.000 | 0.340 | 14.145 |
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 | 66 | 66 | 66 | 75 | 85 | 96 | 0 | 106 | 112 |
N.S. |
1 | 1.00 | 1.00 | 1.14 | 1.29 | 1.45 | 0.00 | 1.61 | 1.70 |
time (sec) |
N/A | 0.283 | 0.219 | 3.313 | 0.245 | 0.262 | 0.000 | 0.352 | 15.599 |
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 | 96 | 96 | 58 | 112 | 145 | 111 | 0 | 122 | 141 |
N.S. |
1 | 1.00 | 0.60 | 1.17 | 1.51 | 1.16 | 0.00 | 1.27 | 1.47 |
time (sec) |
N/A | 0.308 | 0.297 | 2.931 | 0.217 | 0.263 | 0.000 | 0.354 | 16.990 |
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 | 129 | 129 | 73 | 75 | 143 | 89 | 379 | 106 | 121 |
N.S. |
1 | 1.00 | 0.57 | 0.58 | 1.11 | 0.69 | 2.94 | 0.82 | 0.94 |
time (sec) |
N/A | 0.355 | 0.112 | 3.378 | 0.230 | 0.260 | 0.385 | 0.332 | 16.744 |
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 | 105 | 105 | 63 | 66 | 117 | 76 | 272 | 88 | 105 |
N.S. |
1 | 1.00 | 0.60 | 0.63 | 1.11 | 0.72 | 2.59 | 0.84 | 1.00 |
time (sec) |
N/A | 0.320 | 0.086 | 2.467 | 0.204 | 0.254 | 0.271 | 0.319 | 17.432 |
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 | 85 | 93 | 51 | 53 | 94 | 63 | 224 | 71 | 89 |
N.S. |
1 | 1.09 | 0.60 | 0.62 | 1.11 | 0.74 | 2.64 | 0.84 | 1.05 |
time (sec) |
N/A | 0.330 | 0.080 | 2.311 | 0.240 | 0.255 | 0.195 | 0.330 | 17.364 |
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 | 63 | 63 | 44 | 42 | 70 | 50 | 121 | 55 | 63 |
N.S. |
1 | 1.00 | 0.70 | 0.67 | 1.11 | 0.79 | 1.92 | 0.87 | 1.00 |
time (sec) |
N/A | 0.236 | 0.102 | 1.619 | 0.218 | 0.280 | 0.126 | 0.328 | 14.110 |
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 | 59 | 59 | 81 | 59 | 67 | 65 | 0 | 100 | 88 |
N.S. |
1 | 1.00 | 1.37 | 1.00 | 1.14 | 1.10 | 0.00 | 1.69 | 1.49 |
time (sec) |
N/A | 0.255 | 0.408 | 1.308 | 0.214 | 0.269 | 0.000 | 0.371 | 14.531 |
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 | 48 | 48 | 211 | 55 | 64 | 91 | 0 | 80 | 57 |
N.S. |
1 | 1.00 | 4.40 | 1.15 | 1.33 | 1.90 | 0.00 | 1.67 | 1.19 |
time (sec) |
N/A | 0.257 | 1.078 | 2.257 | 0.224 | 0.301 | 0.000 | 0.447 | 14.895 |
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 | 59 | 59 | 50 | 80 | 99 | 98 | 0 | 100 | 88 |
N.S. |
1 | 1.00 | 0.85 | 1.36 | 1.68 | 1.66 | 0.00 | 1.69 | 1.49 |
time (sec) |
N/A | 0.274 | 0.025 | 2.544 | 0.341 | 0.263 | 0.000 | 0.430 | 14.626 |
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 | 72 | 72 | 72 | 94 | 111 | 98 | 0 | 106 | 112 |
N.S. |
1 | 1.00 | 1.00 | 1.31 | 1.54 | 1.36 | 0.00 | 1.47 | 1.56 |
time (sec) |
N/A | 0.284 | 0.228 | 3.446 | 0.238 | 0.254 | 0.000 | 0.367 | 16.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 93 | 123 | 156 | 111 | 0 | 122 | 141 |
N.S. |
1 | 1.00 | 1.00 | 1.32 | 1.68 | 1.19 | 0.00 | 1.31 | 1.52 |
time (sec) |
N/A | 0.319 | 0.314 | 3.794 | 0.240 | 0.267 | 0.000 | 0.409 | 16.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 114 | 145 | 179 | 124 | 0 | 138 | 170 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 1.57 | 1.09 | 0.00 | 1.21 | 1.49 |
time (sec) |
N/A | 0.336 | 0.433 | 4.074 | 0.242 | 0.252 | 0.000 | 0.355 | 18.351 |
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 | 127 | 127 | 73 | 75 | 165 | 89 | 434 | 106 | 121 |
N.S. |
1 | 1.00 | 0.57 | 0.59 | 1.30 | 0.70 | 3.42 | 0.83 | 0.95 |
time (sec) |
N/A | 0.365 | 0.128 | 3.733 | 0.220 | 0.252 | 0.391 | 0.359 | 16.436 |
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 | 102 | 117 | 63 | 66 | 128 | 76 | 280 | 89 | 105 |
N.S. |
1 | 1.15 | 0.62 | 0.65 | 1.25 | 0.75 | 2.75 | 0.87 | 1.03 |
time (sec) |
N/A | 0.363 | 0.091 | 2.794 | 0.316 | 0.243 | 0.277 | 0.349 | 17.628 |
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 | 87 | 87 | 56 | 55 | 106 | 63 | 224 | 72 | 89 |
N.S. |
1 | 1.00 | 0.64 | 0.63 | 1.22 | 0.72 | 2.57 | 0.83 | 1.02 |
time (sec) |
N/A | 0.281 | 0.139 | 2.109 | 0.223 | 0.254 | 0.196 | 0.306 | 17.281 |
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 | 73 | 73 | 91 | 70 | 89 | 80 | 0 | 116 | 93 |
N.S. |
1 | 1.00 | 1.25 | 0.96 | 1.22 | 1.10 | 0.00 | 1.59 | 1.27 |
time (sec) |
N/A | 0.273 | 0.750 | 2.447 | 0.270 | 0.255 | 0.000 | 0.370 | 13.996 |
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 | 73 | 73 | 241 | 82 | 85 | 105 | 0 | 129 | 117 |
N.S. |
1 | 1.00 | 3.30 | 1.12 | 1.16 | 1.44 | 0.00 | 1.77 | 1.60 |
time (sec) |
N/A | 0.282 | 2.997 | 2.186 | 0.233 | 0.321 | 0.000 | 0.359 | 14.568 |
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 | 73 | 73 | 272 | 91 | 110 | 111 | 0 | 129 | 115 |
N.S. |
1 | 1.00 | 3.73 | 1.25 | 1.51 | 1.52 | 0.00 | 1.77 | 1.58 |
time (sec) |
N/A | 0.281 | 3.459 | 2.970 | 0.251 | 0.264 | 0.000 | 0.379 | 14.792 |
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 | 73 | 73 | 61 | 96 | 120 | 110 | 0 | 116 | 117 |
N.S. |
1 | 1.00 | 0.84 | 1.32 | 1.64 | 1.51 | 0.00 | 1.59 | 1.60 |
time (sec) |
N/A | 0.296 | 0.029 | 3.296 | 0.298 | 0.275 | 0.000 | 0.349 | 14.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 96 | 135 | 182 | 111 | 0 | 122 | 141 |
N.S. |
1 | 1.00 | 1.00 | 1.41 | 1.90 | 1.16 | 0.00 | 1.27 | 1.47 |
time (sec) |
N/A | 0.324 | 1.276 | 3.954 | 0.273 | 0.298 | 0.000 | 0.377 | 17.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 111 | 156 | 190 | 124 | 0 | 138 | 170 |
N.S. |
1 | 1.00 | 1.00 | 1.41 | 1.71 | 1.12 | 0.00 | 1.24 | 1.53 |
time (sec) |
N/A | 0.338 | 1.574 | 4.382 | 0.239 | 0.272 | 0.000 | 0.380 | 19.710 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 136 | 178 | 270 | 137 | 0 | 154 | 199 |
N.S. |
1 | 1.00 | 1.00 | 1.31 | 1.99 | 1.01 | 0.00 | 1.13 | 1.46 |
time (sec) |
N/A | 0.379 | 3.760 | 4.540 | 0.264 | 0.278 | 0.000 | 0.381 | 18.603 |
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 | 118 | 119 | 173 | 67 | 217 | 79 | 882 | 101 | 98 |
N.S. |
1 | 1.01 | 1.47 | 0.57 | 1.84 | 0.67 | 7.47 | 0.86 | 0.83 |
time (sec) |
N/A | 0.560 | 0.842 | 0.805 | 0.315 | 0.260 | 1.934 | 0.341 | 16.481 |
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 | 94 | 93 | 143 | 54 | 176 | 70 | 570 | 88 | 70 |
N.S. |
1 | 0.99 | 1.52 | 0.57 | 1.87 | 0.74 | 6.06 | 0.94 | 0.74 |
time (sec) |
N/A | 0.453 | 0.743 | 0.780 | 0.490 | 0.321 | 1.225 | 0.329 | 14.751 |
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 | 76 | 76 | 117 | 43 | 133 | 57 | 325 | 73 | 89 |
N.S. |
1 | 1.00 | 1.54 | 0.57 | 1.75 | 0.75 | 4.28 | 0.96 | 1.17 |
time (sec) |
N/A | 0.318 | 0.722 | 0.761 | 0.316 | 0.256 | 0.817 | 0.328 | 14.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 42 | 89 | 31 | 92 | 46 | 129 | 58 | 66 |
N.S. |
1 | 0.98 | 2.07 | 0.72 | 2.14 | 1.07 | 3.00 | 1.35 | 1.53 |
time (sec) |
N/A | 0.352 | 0.474 | 0.735 | 0.309 | 0.259 | 0.560 | 0.381 | 14.916 |
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 | 29 | 29 | 69 | 23 | 49 | 37 | 27 | 28 | 23 |
N.S. |
1 | 1.00 | 2.38 | 0.79 | 1.69 | 1.28 | 0.93 | 0.97 | 0.79 |
time (sec) |
N/A | 0.247 | 0.141 | 0.717 | 0.315 | 0.248 | 0.359 | 0.360 | 14.640 |
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 | 22 | 22 | 17 | 17 | 23 | 22 | 20 | 16 | 16 |
N.S. |
1 | 1.00 | 0.77 | 0.77 | 1.05 | 1.00 | 0.91 | 0.73 | 0.73 |
time (sec) |
N/A | 0.180 | 0.012 | 0.699 | 0.214 | 0.243 | 0.297 | 0.356 | 14.196 |
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 | 38 | 38 | 103 | 46 | 75 | 65 | 0 | 54 | 31 |
N.S. |
1 | 1.00 | 2.71 | 1.21 | 1.97 | 1.71 | 0.00 | 1.42 | 0.82 |
time (sec) |
N/A | 0.308 | 0.282 | 0.868 | 0.220 | 0.322 | 0.000 | 0.438 | 14.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 54 | 188 | 74 | 119 | 97 | 0 | 84 | 67 |
N.S. |
1 | 1.02 | 3.55 | 1.40 | 2.25 | 1.83 | 0.00 | 1.58 | 1.26 |
time (sec) |
N/A | 0.448 | 0.783 | 0.933 | 0.231 | 0.254 | 0.000 | 0.319 | 14.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 84 | 244 | 105 | 162 | 112 | 0 | 101 | 95 |
N.S. |
1 | 1.01 | 2.94 | 1.27 | 1.95 | 1.35 | 0.00 | 1.22 | 1.14 |
time (sec) |
N/A | 0.568 | 1.167 | 0.992 | 0.243 | 0.260 | 0.000 | 0.320 | 14.756 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 101 | 368 | 132 | 205 | 124 | 0 | 114 | 96 |
N.S. |
1 | 0.98 | 3.57 | 1.28 | 1.99 | 1.20 | 0.00 | 1.11 | 0.93 |
time (sec) |
N/A | 0.590 | 3.134 | 1.044 | 0.208 | 0.270 | 0.000 | 0.314 | 14.585 |
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 | 124 | 136 | 115 | 77 | 207 | 108 | 700 | 108 | 135 |
N.S. |
1 | 1.10 | 0.93 | 0.62 | 1.67 | 0.87 | 5.65 | 0.87 | 1.09 |
time (sec) |
N/A | 0.707 | 0.528 | 0.872 | 0.309 | 0.257 | 2.879 | 0.332 | 14.881 |
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 | 114 | 120 | 107 | 66 | 164 | 99 | 413 | 95 | 113 |
N.S. |
1 | 1.05 | 0.94 | 0.58 | 1.44 | 0.87 | 3.62 | 0.83 | 0.99 |
time (sec) |
N/A | 0.513 | 0.423 | 0.789 | 0.353 | 0.306 | 1.774 | 0.454 | 14.579 |
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 | 80 | 85 | 97 | 55 | 118 | 90 | 201 | 79 | 91 |
N.S. |
1 | 1.06 | 1.21 | 0.69 | 1.48 | 1.12 | 2.51 | 0.99 | 1.14 |
time (sec) |
N/A | 0.624 | 0.450 | 0.791 | 0.304 | 0.255 | 1.080 | 0.319 | 14.330 |
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 | 57 | 61 | 87 | 36 | 72 | 80 | 56 | 50 | 35 |
N.S. |
1 | 1.07 | 1.53 | 0.63 | 1.26 | 1.40 | 0.98 | 0.88 | 0.61 |
time (sec) |
N/A | 0.397 | 0.256 | 0.703 | 0.313 | 0.256 | 0.650 | 0.303 | 14.215 |
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 | 55 | 54 | 36 | 31 | 47 | 51 | 48 | 31 | 30 |
N.S. |
1 | 0.98 | 0.65 | 0.56 | 0.85 | 0.93 | 0.87 | 0.56 | 0.55 |
time (sec) |
N/A | 0.279 | 0.079 | 0.677 | 0.232 | 0.242 | 0.491 | 0.298 | 14.362 |
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 | 55 | 54 | 53 | 31 | 46 | 49 | 44 | 31 | 30 |
N.S. |
1 | 0.98 | 0.96 | 0.56 | 0.84 | 0.89 | 0.80 | 0.56 | 0.55 |
time (sec) |
N/A | 0.258 | 0.036 | 0.629 | 0.238 | 0.245 | 0.427 | 0.304 | 14.060 |
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 | 66 | 67 | 152 | 62 | 98 | 114 | 0 | 77 | 43 |
N.S. |
1 | 1.02 | 2.30 | 0.94 | 1.48 | 1.73 | 0.00 | 1.17 | 0.65 |
time (sec) |
N/A | 0.431 | 0.437 | 0.900 | 0.227 | 0.325 | 0.000 | 0.332 | 14.080 |
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 | 81 | 89 | 239 | 92 | 145 | 146 | 0 | 106 | 92 |
N.S. |
1 | 1.10 | 2.95 | 1.14 | 1.79 | 1.80 | 0.00 | 1.31 | 1.14 |
time (sec) |
N/A | 0.633 | 1.073 | 0.839 | 0.250 | 0.297 | 0.000 | 0.312 | 14.369 |
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 | 119 | 125 | 292 | 120 | 190 | 162 | 0 | 122 | 122 |
N.S. |
1 | 1.05 | 2.45 | 1.01 | 1.60 | 1.36 | 0.00 | 1.03 | 1.03 |
time (sec) |
N/A | 0.803 | 1.590 | 1.052 | 0.279 | 0.273 | 0.000 | 0.322 | 14.364 |
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 | 133 | 145 | 343 | 152 | 234 | 172 | 0 | 135 | 153 |
N.S. |
1 | 1.09 | 2.58 | 1.14 | 1.76 | 1.29 | 0.00 | 1.02 | 1.15 |
time (sec) |
N/A | 0.872 | 2.911 | 1.261 | 0.240 | 0.262 | 0.000 | 0.329 | 14.297 |
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 | 153 | 167 | 127 | 77 | 184 | 135 | 473 | 113 | 137 |
N.S. |
1 | 1.09 | 0.83 | 0.50 | 1.20 | 0.88 | 3.09 | 0.74 | 0.90 |
time (sec) |
N/A | 0.745 | 2.026 | 0.838 | 0.332 | 0.267 | 3.889 | 0.313 | 14.301 |
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 | 119 | 124 | 107 | 66 | 137 | 126 | 240 | 96 | 113 |
N.S. |
1 | 1.04 | 0.90 | 0.55 | 1.15 | 1.06 | 2.02 | 0.81 | 0.95 |
time (sec) |
N/A | 0.882 | 0.488 | 0.785 | 0.308 | 0.252 | 2.377 | 0.315 | 14.279 |
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 | 96 | 106 | 108 | 51 | 92 | 116 | 75 | 68 | 81 |
N.S. |
1 | 1.10 | 1.12 | 0.53 | 0.96 | 1.21 | 0.78 | 0.71 | 0.84 |
time (sec) |
N/A | 0.672 | 0.816 | 0.808 | 0.318 | 0.269 | 1.362 | 0.308 | 14.227 |
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 | 85 | 46 | 45 | 67 | 75 | 68 | 46 | 45 |
N.S. |
1 | 1.02 | 0.55 | 0.54 | 0.81 | 0.90 | 0.82 | 0.55 | 0.54 |
time (sec) |
N/A | 0.417 | 0.130 | 0.707 | 0.232 | 0.245 | 1.035 | 0.307 | 14.536 |
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 | 87 | 44 | 31 | 47 | 73 | 48 | 31 | 30 |
N.S. |
1 | 1.05 | 0.53 | 0.37 | 0.57 | 0.88 | 0.58 | 0.37 | 0.36 |
time (sec) |
N/A | 0.369 | 0.074 | 0.837 | 0.575 | 0.295 | 0.808 | 0.305 | 14.316 |
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 | 87 | 65 | 45 | 67 | 75 | 63 | 46 | 45 |
N.S. |
1 | 1.05 | 0.78 | 0.54 | 0.81 | 0.90 | 0.76 | 0.55 | 0.54 |
time (sec) |
N/A | 0.352 | 0.056 | 0.659 | 0.229 | 0.234 | 0.687 | 0.293 | 14.604 |
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 | 97 | 107 | 201 | 75 | 119 | 158 | 0 | 94 | 58 |
N.S. |
1 | 1.10 | 2.07 | 0.77 | 1.23 | 1.63 | 0.00 | 0.97 | 0.60 |
time (sec) |
N/A | 0.633 | 0.550 | 0.894 | 0.228 | 0.254 | 0.000 | 0.331 | 14.175 |
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 | 112 | 123 | 286 | 105 | 165 | 190 | 0 | 122 | 111 |
N.S. |
1 | 1.10 | 2.55 | 0.94 | 1.47 | 1.70 | 0.00 | 1.09 | 0.99 |
time (sec) |
N/A | 0.895 | 1.129 | 1.025 | 0.344 | 0.259 | 0.000 | 0.322 | 14.306 |
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 | 156 | 170 | 343 | 135 | 211 | 206 | 0 | 139 | 141 |
N.S. |
1 | 1.09 | 2.20 | 0.87 | 1.35 | 1.32 | 0.00 | 0.89 | 0.90 |
time (sec) |
N/A | 1.103 | 2.914 | 1.102 | 0.289 | 0.259 | 0.000 | 0.322 | 14.377 |
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 | 184 | 202 | 137 | 88 | 204 | 171 | 530 | 128 | 159 |
N.S. |
1 | 1.10 | 0.74 | 0.48 | 1.11 | 0.93 | 2.88 | 0.70 | 0.86 |
time (sec) |
N/A | 1.006 | 6.175 | 0.934 | 0.356 | 0.266 | 9.079 | 0.321 | 14.851 |
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 | 150 | 171 | 135 | 77 | 158 | 162 | 280 | 112 | 137 |
N.S. |
1 | 1.14 | 0.90 | 0.51 | 1.05 | 1.08 | 1.87 | 0.75 | 0.91 |
time (sec) |
N/A | 1.193 | 1.664 | 0.830 | 0.327 | 0.267 | 5.596 | 0.337 | 14.974 |
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 | 127 | 142 | 117 | 64 | 112 | 152 | 95 | 83 | 102 |
N.S. |
1 | 1.12 | 0.92 | 0.50 | 0.88 | 1.20 | 0.75 | 0.65 | 0.80 |
time (sec) |
N/A | 0.958 | 3.187 | 0.650 | 0.330 | 0.269 | 3.261 | 0.343 | 14.835 |
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 | 114 | 121 | 56 | 57 | 87 | 99 | 88 | 59 | 58 |
N.S. |
1 | 1.06 | 0.49 | 0.50 | 0.76 | 0.87 | 0.77 | 0.52 | 0.51 |
time (sec) |
N/A | 0.701 | 1.227 | 0.692 | 0.248 | 0.258 | 2.401 | 0.320 | 15.080 |
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 | 112 | 118 | 56 | 58 | 87 | 99 | 87 | 59 | 58 |
N.S. |
1 | 1.05 | 0.50 | 0.52 | 0.78 | 0.88 | 0.78 | 0.53 | 0.52 |
time (sec) |
N/A | 0.534 | 0.877 | 0.777 | 0.258 | 0.252 | 1.890 | 0.317 | 14.941 |
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 | 112 | 120 | 56 | 57 | 87 | 99 | 85 | 59 | 58 |
N.S. |
1 | 1.07 | 0.50 | 0.51 | 0.78 | 0.88 | 0.76 | 0.53 | 0.52 |
time (sec) |
N/A | 0.477 | 0.163 | 0.780 | 0.230 | 0.243 | 1.585 | 0.307 | 14.939 |
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 | 112 | 120 | 77 | 56 | 87 | 99 | 83 | 59 | 58 |
N.S. |
1 | 1.07 | 0.69 | 0.50 | 0.78 | 0.88 | 0.74 | 0.53 | 0.52 |
time (sec) |
N/A | 0.458 | 0.120 | 0.630 | 0.228 | 0.283 | 1.431 | 0.297 | 15.283 |
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 | 120 | 135 | 185 | 88 | 139 | 202 | 0 | 110 | 83 |
N.S. |
1 | 1.12 | 1.54 | 0.73 | 1.16 | 1.68 | 0.00 | 0.92 | 0.69 |
time (sec) |
N/A | 0.850 | 0.901 | 1.026 | 0.229 | 0.265 | 0.000 | 0.333 | 14.901 |
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 | 135 | 159 | 341 | 118 | 186 | 234 | 0 | 139 | 130 |
N.S. |
1 | 1.18 | 2.53 | 0.87 | 1.38 | 1.73 | 0.00 | 1.03 | 0.96 |
time (sec) |
N/A | 1.115 | 3.376 | 1.065 | 0.249 | 0.260 | 0.000 | 0.326 | 14.974 |
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 | 185 | 203 | 455 | 148 | 231 | 250 | 0 | 155 | 160 |
N.S. |
1 | 1.10 | 2.46 | 0.80 | 1.25 | 1.35 | 0.00 | 0.84 | 0.86 |
time (sec) |
N/A | 1.370 | 6.781 | 1.271 | 0.329 | 0.261 | 0.000 | 0.337 | 15.503 |
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 | 225 | 250 | 143 | 98 | 224 | 207 | 588 | 145 | 181 |
N.S. |
1 | 1.11 | 0.64 | 0.44 | 1.00 | 0.92 | 2.61 | 0.64 | 0.80 |
time (sec) |
N/A | 1.274 | 8.033 | 0.997 | 0.339 | 0.257 | 19.695 | 0.346 | 15.425 |
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 | 191 | 220 | 149 | 88 | 178 | 198 | 320 | 129 | 159 |
N.S. |
1 | 1.15 | 0.78 | 0.46 | 0.93 | 1.04 | 1.68 | 0.68 | 0.83 |
time (sec) |
N/A | 1.496 | 7.982 | 0.743 | 0.324 | 0.268 | 11.539 | 0.432 | 15.056 |
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 | 168 | 196 | 127 | 77 | 132 | 188 | 116 | 100 | 125 |
N.S. |
1 | 1.17 | 0.76 | 0.46 | 0.79 | 1.12 | 0.69 | 0.60 | 0.74 |
time (sec) |
N/A | 1.248 | 7.118 | 0.713 | 0.309 | 0.258 | 7.073 | 0.420 | 14.852 |
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 | 155 | 176 | 66 | 71 | 107 | 123 | 107 | 72 | 127 |
N.S. |
1 | 1.14 | 0.43 | 0.46 | 0.69 | 0.79 | 0.69 | 0.46 | 0.82 |
time (sec) |
N/A | 0.953 | 2.737 | 0.738 | 0.222 | 0.247 | 5.436 | 0.425 | 14.121 |
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 | 147 | 159 | 66 | 57 | 87 | 123 | 87 | 59 | 58 |
N.S. |
1 | 1.08 | 0.45 | 0.39 | 0.59 | 0.84 | 0.59 | 0.40 | 0.39 |
time (sec) |
N/A | 0.845 | 2.694 | 0.843 | 0.221 | 0.300 | 4.125 | 0.434 | 14.414 |
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 | 139 | 147 | 66 | 45 | 67 | 123 | 68 | 46 | 45 |
N.S. |
1 | 1.06 | 0.47 | 0.32 | 0.48 | 0.88 | 0.49 | 0.33 | 0.32 |
time (sec) |
N/A | 0.672 | 2.261 | 0.818 | 0.261 | 0.250 | 3.418 | 0.358 | 14.012 |
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 | 143 | 153 | 66 | 57 | 87 | 123 | 85 | 59 | 58 |
N.S. |
1 | 1.07 | 0.46 | 0.40 | 0.61 | 0.86 | 0.59 | 0.41 | 0.41 |
time (sec) |
N/A | 0.601 | 0.224 | 0.767 | 0.263 | 0.253 | 3.037 | 0.438 | 14.056 |
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 | 143 | 153 | 89 | 69 | 107 | 123 | 102 | 72 | 127 |
N.S. |
1 | 1.07 | 0.62 | 0.48 | 0.75 | 0.86 | 0.71 | 0.50 | 0.89 |
time (sec) |
N/A | 0.580 | 0.117 | 0.780 | 0.213 | 0.247 | 2.758 | 0.388 | 14.571 |
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 | 153 | 181 | 211 | 101 | 159 | 246 | 0 | 126 | 99 |
N.S. |
1 | 1.18 | 1.38 | 0.66 | 1.04 | 1.61 | 0.00 | 0.82 | 0.65 |
time (sec) |
N/A | 1.089 | 1.622 | 1.112 | 0.246 | 0.269 | 0.000 | 0.437 | 14.541 |
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 | 168 | 200 | 393 | 131 | 206 | 278 | 0 | 155 | 149 |
N.S. |
1 | 1.19 | 2.34 | 0.78 | 1.23 | 1.65 | 0.00 | 0.92 | 0.89 |
time (sec) |
N/A | 1.442 | 5.518 | 1.174 | 0.302 | 0.289 | 0.000 | 0.443 | 14.776 |
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 | 224 | 249 | 507 | 160 | 251 | 294 | 0 | 171 | 179 |
N.S. |
1 | 1.11 | 2.26 | 0.71 | 1.12 | 1.31 | 0.00 | 0.76 | 0.80 |
time (sec) |
N/A | 1.678 | 7.091 | 1.223 | 0.257 | 0.266 | 0.000 | 0.415 | 14.231 |
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 | 184 | 211 | 76 | 83 | 127 | 147 | 129 | 85 | 75 |
N.S. |
1 | 1.15 | 0.41 | 0.45 | 0.69 | 0.80 | 0.70 | 0.46 | 0.41 |
time (sec) |
N/A | 1.244 | 5.085 | 0.742 | 0.233 | 0.253 | 11.966 | 0.422 | 15.305 |
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 | 176 | 204 | 76 | 84 | 127 | 147 | 124 | 85 | 151 |
N.S. |
1 | 1.16 | 0.43 | 0.48 | 0.72 | 0.84 | 0.70 | 0.48 | 0.86 |
time (sec) |
N/A | 1.095 | 5.085 | 0.869 | 0.227 | 0.250 | 9.672 | 0.414 | 14.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 179 | 92 | 97 | 79 | 72 | 0 | 117 | 0 |
N.S. |
1 | 1.13 | 0.58 | 0.61 | 0.50 | 0.46 | 0.00 | 0.74 | 0.00 |
time (sec) |
N/A | 0.790 | 0.202 | 0.971 | 0.391 | 0.243 | 0.000 | 0.659 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 138 | 80 | 84 | 65 | 62 | 0 | 96 | 0 |
N.S. |
1 | 1.13 | 0.66 | 0.69 | 0.53 | 0.51 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.614 | 0.096 | 0.797 | 0.365 | 0.243 | 0.000 | 0.619 | 0.000 |
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 | 86 | 97 | 68 | 71 | 51 | 52 | 0 | 75 | 0 |
N.S. |
1 | 1.13 | 0.79 | 0.83 | 0.59 | 0.60 | 0.00 | 0.87 | 0.00 |
time (sec) |
N/A | 0.435 | 0.064 | 0.917 | 0.439 | 0.303 | 0.000 | 0.484 | 0.000 |
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 | 56 | 56 | 54 | 58 | 36 | 40 | 0 | 53 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.04 | 0.64 | 0.71 | 0.00 | 0.95 | 0.00 |
time (sec) |
N/A | 0.281 | 0.046 | 0.776 | 0.388 | 0.261 | 0.000 | 0.547 | 0.000 |
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 | 26 | 26 | 29 | 43 | 20 | 32 | 0 | 30 | 33 |
N.S. |
1 | 1.00 | 1.12 | 1.65 | 0.77 | 1.23 | 0.00 | 1.15 | 1.27 |
time (sec) |
N/A | 0.187 | 0.020 | 0.942 | 0.373 | 0.242 | 0.000 | 0.372 | 14.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 50 | 182 | 0 | 146 | 0 | 58 | 0 |
N.S. |
1 | 1.00 | 1.35 | 4.92 | 0.00 | 3.95 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.232 | 0.035 | 1.415 | 0.000 | 0.270 | 0.000 | 0.381 | 0.000 |