A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33 }
B grade: { }
C grade: { }
F grade: { }
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 }
B grade: { }
F grade: { }
A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30 }
A grade: { 16, 17, 18, 19, 21, 23, 24, 25, 26, 29, 30 }
B grade: { 11 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 20, 22, 27, 28, 31, 32, 33 }
A grade: { 11, 16, 17, 18, 19, 24, 25, 26, 29, 30 }
B grade: { 21, 23, 31, 32, 33 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 20, 22, 27, 28 }
A grade: { 16, 17, 18, 19, 21, 23, 24, 25, 26, 29, 30 }
B grade: { }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 20, 22, 27, 28, 31, 32, 33 }
A grade: { 11, 16, 17, 18, 19, 24, 25, 26, 29, 30, 31, 32 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 20, 22, 27, 28 }
B grade: { 21 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33 }
Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)
Problem 1 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 161 | 228 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.12 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.199 | 0.253 | 0.490 | 0.000 | 0.473 | 0.000 | 0.000 | 0.000 |
Problem 2 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 138 | 207 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.20 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.134 | 0.180 | 0.439 | 0.000 | 0.484 | 0.000 | 0.000 | 0.000 |
Problem 3 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 115 | 180 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.40 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.113 | 0.107 | 0.123 | 0.000 | 0.454 | 0.000 | 0.000 | 0.000 |
Problem 4 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 107 | 170 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.41 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.062 | 0.091 | 0.214 | 0.000 | 0.491 | 0.000 | 0.000 | 0.000 |
Problem 5 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 104 | 168 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.46 | 2.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.111 | 0.178 | 0.154 | 0.000 | 0.481 | 0.000 | 0.000 | 0.000 |
Problem 6 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 158 | 166 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.48 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.141 | 0.238 | 0.385 | 0.000 | 0.465 | 0.000 | 0.000 | 0.000 |
Problem 7 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | B | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 150 | 301 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.21 | 2.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.186 | 0.476 | 0.711 | 0.000 | 0.517 | 0.000 | 0.000 | 0.000 |
Problem 8 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 294 | 296 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.63 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.231 | 0.367 | 0.890 | 0.000 | 0.508 | 0.000 | 0.000 | 0.000 |
Problem 9 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 203 | 312 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.31 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.187 | 0.483 | 0.828 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Problem 10 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 251 | 253 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.85 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.130 | 0.301 | 0.394 | 0.000 | 0.515 | 0.000 | 0.000 | 0.000 |
Problem 11 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | B | A | F | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 49 | 98 | 136 | 54 | 0 | 100 | -1 |
normalized size | 1 | 1.00 | 0.86 | 1.72 | 2.39 | 0.95 | 0.00 | 1.75 | -0.02 |
time (sec) | N/A | 0.046 | 0.113 | 0.007 | 0.514 | 0.506 | 0.000 | 0.232 | 0.000 |
Problem 12 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F(-1) | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 220 | 250 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.67 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.092 | 0.300 | 0.133 | 0.000 | 0.443 | 0.000 | 0.000 | 0.000 |
Problem 13 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | B | F | F | F(-1) | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 152 | 340 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.25 | 2.79 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.171 | 0.521 | 0.750 | 0.000 | 0.527 | 0.000 | 0.000 | 0.000 |
Problem 14 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 251 | 260 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.42 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.182 | 0.492 | 0.521 | 0.000 | 0.503 | 0.000 | 0.000 | 0.000 |
Problem 15 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 217 | 371 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.36 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.257 | 0.725 | 0.518 | 0.000 | 0.471 | 0.000 | 0.000 | 0.000 |
Problem 16 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 153 | 177 | 165 | 125 | 211 | 171 | -1 |
normalized size | 1 | 1.00 | 1.03 | 1.19 | 1.11 | 0.84 | 1.42 | 1.15 | -0.01 |
time (sec) | N/A | 0.119 | 0.156 | 0.021 | 0.419 | 0.552 | 3.531 | 0.187 | 0.000 |
Problem 17 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 125 | 161 | 144 | 108 | 177 | 146 | -1 |
normalized size | 1 | 1.00 | 1.04 | 1.34 | 1.20 | 0.90 | 1.48 | 1.22 | -0.01 |
time (sec) | N/A | 0.121 | 0.118 | 0.006 | 0.420 | 0.474 | 1.978 | 0.204 | 0.000 |
Problem 18 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 131 | 137 | 124 | 103 | 158 | 126 | -1 |
normalized size | 1 | 1.00 | 1.07 | 1.12 | 1.02 | 0.84 | 1.30 | 1.03 | -0.01 |
time (sec) | N/A | 0.086 | 0.113 | 0.005 | 0.420 | 0.450 | 1.117 | 0.181 | 0.000 |
Problem 19 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 91 | 112 | 94 | 83 | 114 | 95 | -1 |
normalized size | 1 | 1.00 | 1.12 | 1.38 | 1.16 | 1.02 | 1.41 | 1.17 | -0.01 |
time (sec) | N/A | 0.067 | 0.081 | 0.011 | 0.416 | 0.444 | 0.516 | 0.786 | 0.000 |
Problem 20 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 111 | 130 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.84 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.239 | 0.211 | 0.392 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Problem 21 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | B | A | B | B |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 80 | 79 | 81 | 155 | 78 | 867 | 71 |
normalized size | 1 | 1.00 | 1.21 | 1.20 | 1.23 | 2.35 | 1.18 | 13.14 | 1.08 |
time (sec) | N/A | 0.075 | 0.077 | 0.008 | 0.416 | 0.482 | 3.854 | 0.618 | 0.376 |
Problem 22 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 105 | 127 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.88 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.221 | 0.167 | 1.105 | 0.000 | 0.457 | 0.000 | 0.000 | 0.000 |
Problem 23 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 130 | 119 | 119 | 168 | 172 | 3098 | -1 |
normalized size | 1 | 1.00 | 1.53 | 1.40 | 1.40 | 1.98 | 2.02 | 36.45 | -0.01 |
time (sec) | N/A | 0.091 | 0.068 | 0.010 | 0.415 | 0.550 | 4.645 | 4.375 | 0.000 |
Problem 24 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 99 | 169 | 160 | 110 | 197 | 160 | -1 |
normalized size | 1 | 1.00 | 0.73 | 1.25 | 1.19 | 0.81 | 1.46 | 1.19 | -0.01 |
time (sec) | N/A | 0.127 | 0.128 | 0.023 | 0.415 | 0.478 | 1.994 | 1.270 | 0.000 |
Problem 25 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 149 | 270 | 267 | 168 | 326 | 270 | -1 |
normalized size | 1 | 1.00 | 0.73 | 1.32 | 1.30 | 0.82 | 1.59 | 1.32 | -0.00 |
time (sec) | N/A | 0.244 | 0.177 | 0.007 | 0.422 | 0.459 | 5.735 | 2.970 | 0.000 |
Problem 26 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | A | A | A | A | A | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 212 | 393 | 400 | 239 | 502 | 408 | -1 |
normalized size | 1 | 1.00 | 0.73 | 1.35 | 1.37 | 0.82 | 1.72 | 1.40 | -0.00 |
time (sec) | N/A | 0.326 | 0.202 | 0.006 | 0.422 | 0.512 | 15.869 | 0.210 | 0.000 |
Problem 27 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | C | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 521 | 521 | 811 | 216 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.56 | 0.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.810 | 1.230 | 1.041 | 0.000 | 0.497 | 0.000 | 0.000 | 0.000 |
Problem 28 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | C | F | F | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 727 | 727 | 1065 | 1654 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.46 | 2.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 1.069 | 2.469 | 1.832 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Problem 29 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | N/A | A | A | A | A | A | A | A | A |
verified | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) | N/A | 0.018 | 3.790 | 0.428 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Problem 30 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | N/A | A | A | A | A | A | A | A | A |
verified | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) | N/A | 0.019 | 2.372 | 0.488 | 0.000 | 0.483 | 0.000 | 0.000 | 0.000 |
Problem 31 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F(-2) | B | F | A | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 68 | 0 | 0 | 276 | 0 | 75 | -1 |
normalized size | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 4.18 | 0.00 | 1.14 | -0.02 |
time (sec) | N/A | 0.096 | 0.082 | 0.434 | 0.000 | 0.524 | 0.000 | 1.361 | 0.000 |
Problem 32 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F(-2) | B | F | A | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 120 | 0 | 0 | 580 | 0 | 185 | -1 |
normalized size | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 4.26 | 0.00 | 1.36 | -0.01 |
time (sec) | N/A | 0.153 | 0.201 | 0.431 | 0.000 | 0.510 | 0.000 | 0.436 | 0.000 |
Problem 33 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F(-2) | B | F | B | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 162 | 0 | 0 | 1066 | 0 | 398 | -1 |
normalized size | 1 | 1.00 | 0.77 | 0.00 | 0.00 | 5.05 | 0.00 | 1.89 | -0.00 |
time (sec) | N/A | 0.848 | 0.346 | 0.435 | 0.000 | 0.610 | 0.000 | 2.422 | 0.000 |
The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [28] had the largest ratio of [.6429]
# | grade |
|
|
|
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) | |||||||||||
1 | A | 8 | 8 | 1.00 | 25 | 0.320 | |||||||||||
2 | A | 8 | 6 | 1.00 | 25 | 0.240 | |||||||||||
3 | A | 5 | 5 | 1.00 | 23 | 0.217 | |||||||||||
4 | A | 6 | 4 | 1.00 | 22 | 0.182 | |||||||||||
5 | A | 7 | 5 | 1.00 | 25 | 0.200 | |||||||||||
6 | A | 10 | 8 | 1.00 | 25 | 0.320 | |||||||||||
7 | A | 9 | 7 | 1.00 | 25 | 0.280 | |||||||||||
8 | A | 12 | 9 | 1.00 | 25 | 0.360 | |||||||||||
9 | A | 8 | 8 | 1.00 | 25 | 0.320 | |||||||||||
10 | A | 8 | 6 | 1.00 | 25 | 0.240 | |||||||||||
11 | A | 2 | 2 | 1.00 | 23 | 0.087 | |||||||||||
12 | A | 8 | 6 | 1.00 | 22 | 0.273 | |||||||||||
13 | A | 9 | 7 | 1.00 | 25 | 0.280 | |||||||||||
14 | A | 13 | 11 | 1.00 | 25 | 0.440 | |||||||||||
15 | A | 12 | 9 | 1.00 | 25 | 0.360 | |||||||||||
16 | A | 6 | 6 | 1.00 | 19 | 0.316 | |||||||||||
17 | A | 5 | 5 | 1.00 | 19 | 0.263 | |||||||||||
18 | A | 4 | 4 | 1.00 | 17 | 0.235 | |||||||||||
19 | A | 4 | 3 | 1.00 | 16 | 0.188 | |||||||||||
20 | A | 12 | 12 | 1.00 | 19 | 0.632 | |||||||||||
21 | A | 5 | 6 | 1.00 | 19 | 0.316 | |||||||||||
22 | A | 10 | 10 | 1.00 | 19 | 0.526 | |||||||||||
23 | A | 6 | 7 | 1.00 | 19 | 0.368 | |||||||||||
24 | A | 5 | 5 | 1.00 | 14 | 0.357 | |||||||||||
25 | A | 5 | 5 | 1.00 | 14 | 0.357 | |||||||||||
26 | A | 5 | 5 | 1.00 | 14 | 0.357 | |||||||||||
27 | A | 18 | 6 | 1.00 | 14 | 0.429 | |||||||||||
28 | A | 26 | 9 | 1.00 | 14 | 0.643 | |||||||||||
29 | A | 0 | 0 | 0.00 | 0 | 0.000 | |||||||||||
30 | A | 0 | 0 | 0.00 | 0 | 0.000 | |||||||||||
31 | A | 6 | 7 | 1.00 | 16 | 0.438 | |||||||||||
32 | A | 7 | 9 | 1.00 | 16 | 0.562 | |||||||||||
33 | A | 8 | 10 | 1.00 | 16 | 0.625 | |||||||||||