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 | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 257 | 160 | 204 | 1570 | 173 | 0 | 225 | 17 | 0 |
N.S. |
1 | 1.03 | 0.64 | 0.82 | 6.31 | 0.69 | 0.00 | 0.90 | 0.07 | 0.00 |
time (sec) |
N/A | 0.751 | 0.793 | 2.021 | 0.761 | 0.086 | 0.000 | 0.328 | 0.167 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 112 | 99 | 580 | 119 | 0 | 181 | 33 | 0 |
N.S. |
1 | 1.02 | 0.91 | 0.80 | 4.72 | 0.97 | 0.00 | 1.47 | 0.27 | 0.00 |
time (sec) |
N/A | 0.332 | 0.335 | 1.137 | 0.420 | 0.083 | 0.000 | 0.333 | 0.187 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 85 | 81 | 112 | 103 | 88 | 135 | 13 | 99 |
N.S. |
1 | 1.00 | 0.87 | 0.83 | 1.14 | 1.05 | 0.90 | 1.38 | 0.13 | 1.01 |
time (sec) |
N/A | 0.270 | 0.193 | 0.677 | 0.044 | 0.082 | 0.197 | 0.343 | 0.166 | 41.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 | 1.13 |
time (sec) |
N/A | 0.167 | 2.496 | 0.216 | 0.207 | 0.070 | 0.355 | 0.342 | 0.175 | 41.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 110 | 0 | 0 | 115 | 0 | 0 | 52 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 | 0.47 | 0.00 |
time (sec) |
N/A | 0.304 | 2.962 | 0.000 | 0.000 | 0.090 | 0.000 | 0.000 | 0.163 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 261 | 164 | 224 | 1570 | 178 | 0 | 227 | 18 | 0 |
N.S. |
1 | 1.04 | 0.65 | 0.89 | 6.25 | 0.71 | 0.00 | 0.90 | 0.07 | 0.00 |
time (sec) |
N/A | 0.723 | 0.756 | 1.731 | 0.906 | 0.082 | 0.000 | 0.366 | 0.180 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 127 | 116 | 110 | 580 | 125 | 0 | 183 | 36 | 0 |
N.S. |
1 | 1.02 | 0.94 | 0.89 | 4.68 | 1.01 | 0.00 | 1.48 | 0.29 | 0.00 |
time (sec) |
N/A | 0.339 | 0.377 | 1.155 | 0.393 | 0.079 | 0.000 | 0.349 | 0.190 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 88 | 88 | 112 | 106 | 94 | 137 | 14 | 105 |
N.S. |
1 | 1.00 | 0.89 | 0.89 | 1.13 | 1.07 | 0.95 | 1.38 | 0.14 | 1.06 |
time (sec) |
N/A | 0.277 | 0.192 | 0.698 | 0.044 | 0.077 | 0.208 | 0.339 | 0.194 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 20 | 20 | 14 | 18 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.25 | 1.25 | 0.88 | 1.12 | 1.12 | 1.12 |
time (sec) |
N/A | 0.169 | 2.064 | 0.217 | 0.159 | 0.069 | 0.390 | 0.374 | 0.249 | 41.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 114 | 0 | 0 | 123 | 0 | 0 | 54 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 | 0.49 | 0.00 |
time (sec) |
N/A | 0.303 | 4.281 | 0.000 | 0.000 | 0.079 | 0.000 | 0.000 | 0.257 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 87 | 67 | 59 | 160 | 59 | 0 | 75 | 31 | 64 |
N.S. |
1 | 1.06 | 0.82 | 0.72 | 1.95 | 0.72 | 0.00 | 0.91 | 0.38 | 0.78 |
time (sec) |
N/A | 0.367 | 0.159 | 1.640 | 0.223 | 0.075 | 0.000 | 0.345 | 0.264 | 41.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 39 | 30 | 126 | 32 | 155 | 65 | 21 | 32 |
N.S. |
1 | 1.00 | 0.95 | 0.73 | 3.07 | 0.78 | 3.78 | 1.59 | 0.51 | 0.78 |
time (sec) |
N/A | 0.220 | 0.056 | 1.342 | 0.183 | 0.073 | 0.570 | 0.328 | 0.173 | 0.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 20 | 70 | 22 | 29 | 39 | 9 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 2.92 | 0.92 | 1.21 | 1.62 | 0.38 | 0.79 |
time (sec) |
N/A | 0.181 | 0.031 | 0.834 | 0.134 | 0.074 | 0.190 | 0.300 | 0.197 | 41.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 15 | 11 | 13 | 13 | 12 | 13 | 13 | 13 |
N.S. |
1 | 1.00 | 1.15 | 0.85 | 1.00 | 1.00 | 0.92 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.164 | 13.433 | 0.185 | 0.149 | 0.066 | 0.316 | 0.320 | 0.182 | 41.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 15 | 11 | 13 | 13 | 14 | 13 | 28 | 13 |
N.S. |
1 | 1.00 | 1.15 | 0.85 | 1.00 | 1.00 | 1.08 | 1.00 | 2.15 | 1.00 |
time (sec) |
N/A | 0.297 | 11.246 | 0.171 | 0.196 | 0.080 | 0.296 | 0.357 | 0.192 | 41.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 170 | 191 | 1617 | 178 | 0 | 212 | 318 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.77 | 6.52 | 0.72 | 0.00 | 0.85 | 1.28 | 0.00 |
time (sec) |
N/A | 0.452 | 0.743 | 1.706 | 0.800 | 0.084 | 0.000 | 0.333 | 0.198 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 116 | 95 | 610 | 124 | 0 | 170 | 17 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.75 | 4.84 | 0.98 | 0.00 | 1.35 | 0.13 | 0.00 |
time (sec) |
N/A | 0.267 | 0.284 | 1.515 | 0.419 | 0.091 | 0.000 | 0.385 | 0.210 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 97 | 72 | 124 | 93 | 83 | 122 | 15 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.72 | 1.24 | 0.93 | 0.83 | 1.22 | 0.15 | 0.00 |
time (sec) |
N/A | 0.236 | 0.117 | 1.419 | 0.124 | 0.083 | 0.436 | 0.333 | 0.179 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 17 | 28 | 19 | 15 | 19 | 19 | 19 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.65 | 1.12 | 0.88 | 1.12 | 1.12 | 1.12 |
time (sec) |
N/A | 0.203 | 2.625 | 0.405 | 0.242 | 0.084 | 0.785 | 0.387 | 0.180 | 40.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 175 | 199 | 1617 | 187 | 0 | 214 | 324 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.80 | 6.52 | 0.75 | 0.00 | 0.86 | 1.31 | 0.00 |
time (sec) |
N/A | 0.435 | 0.655 | 1.694 | 0.826 | 0.094 | 0.000 | 0.377 | 0.191 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 122 | 99 | 611 | 133 | 0 | 172 | 18 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.79 | 4.85 | 1.06 | 0.00 | 1.37 | 0.14 | 0.00 |
time (sec) |
N/A | 0.284 | 0.284 | 1.556 | 0.421 | 0.082 | 0.000 | 0.345 | 0.170 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 100 | 76 | 124 | 96 | 88 | 124 | 16 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 1.24 | 0.96 | 0.88 | 1.24 | 0.16 | 0.00 |
time (sec) |
N/A | 0.246 | 0.121 | 1.355 | 0.121 | 0.079 | 0.418 | 0.358 | 0.178 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 20 | 18 | 28 | 22 | 15 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.56 | 1.22 | 0.83 | 1.11 | 1.11 | 1.11 |
time (sec) |
N/A | 0.202 | 3.347 | 0.397 | 0.192 | 0.079 | 0.779 | 0.374 | 0.178 | 41.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 77 | 64 | 171 | 57 | 0 | 64 | 232 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.75 | 2.01 | 0.67 | 0.00 | 0.75 | 2.73 | 0.00 |
time (sec) |
N/A | 0.246 | 0.169 | 2.157 | 0.220 | 0.077 | 0.000 | 0.354 | 0.186 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 41 | 35 | 136 | 37 | 121 | 54 | 13 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.76 | 2.96 | 0.80 | 2.63 | 1.17 | 0.28 | 0.00 |
time (sec) |
N/A | 0.203 | 0.070 | 1.799 | 0.229 | 0.078 | 0.779 | 0.368 | 0.169 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 26 | 20 | 34 | 19 | 22 | 26 | 11 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.74 | 1.26 | 0.70 | 0.81 | 0.96 | 0.41 | 0.00 |
time (sec) |
N/A | 0.185 | 0.018 | 1.660 | 0.112 | 0.073 | 0.342 | 0.386 | 0.171 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 13 | 24 | 15 | 14 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.13 | 0.87 | 1.60 | 1.00 | 0.93 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.197 | 7.554 | 0.372 | 0.220 | 0.074 | 0.608 | 0.365 | 0.191 | 42.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 13 | 26 | 15 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.13 | 0.87 | 1.73 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.232 | 8.606 | 0.375 | 0.151 | 0.078 | 0.511 | 0.391 | 0.177 | 42.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 282 | 187 | 396 | 2271 | 230 | 0 | 291 | 133 | 0 |
N.S. |
1 | 0.99 | 0.66 | 1.39 | 7.97 | 0.81 | 0.00 | 1.02 | 0.47 | 0.00 |
time (sec) |
N/A | 0.791 | 1.381 | 1.977 | 1.059 | 0.110 | 0.000 | 0.377 | 0.175 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 134 | 129 | 182 | 695 | 136 | 0 | 201 | 82 | 0 |
N.S. |
1 | 0.96 | 0.92 | 1.30 | 4.96 | 0.97 | 0.00 | 1.44 | 0.59 | 0.00 |
time (sec) |
N/A | 0.360 | 0.733 | 1.237 | 0.415 | 0.159 | 0.000 | 0.375 | 0.186 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 19 | 21 | 21 | 17 | 21 | 21 | 21 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.11 | 1.11 | 0.89 | 1.11 | 1.11 | 1.11 |
time (sec) |
N/A | 0.174 | 3.701 | 0.460 | 0.196 | 0.070 | 0.331 | 0.369 | 0.171 | 42.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 215 | 378 | 2360 | 257 | 0 | 294 | 532 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.30 | 8.11 | 0.88 | 0.00 | 1.01 | 1.83 | 0.00 |
time (sec) |
N/A | 0.559 | 1.113 | 2.251 | 1.059 | 0.090 | 0.000 | 0.400 | 0.202 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 139 | 170 | 737 | 149 | 0 | 195 | 37 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.13 | 4.91 | 0.99 | 0.00 | 1.30 | 0.25 | 0.00 |
time (sec) |
N/A | 0.296 | 0.549 | 1.805 | 0.435 | 0.085 | 0.000 | 0.383 | 0.181 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 120 | 23 | 19 | 23 | 23 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 5.71 | 1.10 | 0.90 | 1.10 | 1.10 | 1.10 |
time (sec) |
N/A | 0.225 | 3.920 | 0.575 | 0.239 | 0.078 | 4.849 | 0.383 | 0.193 | 42.268 |