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 }
B grade: { }
C grade: { }
F grade: { }
A grade: { 25 }
B grade: { }
C 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, 26, 27, 28, 29, 30, 31, 32 }
F grade: { }
B grade: { 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 22, 23, 27, 28, 29, 30 }
F grade: { 16, 20, 21, 25, 26, 31, 32 }
A grade: { }
B grade: { }
C grade: { }
F 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 }
B grade: { 17, 18, 19, 20, 22, 23, 24, 27, 28, 29, 30, 31, 32 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 }
A grade: { }
B grade: { }
C grade: { }
F 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 }
A grade: { }
B grade: { }
C grade: { }
F 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 }
A grade: { }
B grade: { }
C grade: { }
F 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 }
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 | C | B | F(-1) | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 547 | 547 | 416 | 9581948 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.76 | 17517.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 1.086 | 21.381 | 1.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 2 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 384 | 384 | 352 | 9581713 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 24952.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.715 | 22.282 | 0.952 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 3 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-2) | F(-1) | F | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 253 | 9339148 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 31765.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.289 | 11.431 | 0.916 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 4 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | C | F | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 349 | 349 | 64621 | 49657 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 185.16 | 142.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.688 | 35.857 | 5.491 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 5 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-1) | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 501 | 501 | 134907 | 1829775 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 269.28 | 3652.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.817 | 40.139 | 26.219 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 6 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | F(-1) | F | F | F(-1) |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 976 | 976 | 4224 | 17768513 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 4.33 | 18205.44 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 24.312 | 38.890 | 1.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 7 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 747 | 747 | 411 | 17768080 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.55 | 23785.92 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 23.694 | 27.093 | 0.967 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 8 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 602 | 602 | 350 | 21948746 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.58 | 36459.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 23.182 | 23.795 | 0.920 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 9 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | C | F(-2) | F(-1) | F | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 570 | 570 | 278 | 248562 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.49 | 436.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 23.622 | 16.869 | 21.837 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 10 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 691 | 691 | 465721 | 4238722 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 673.98 | 6134.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 23.712 | 49.085 | 108.733 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 11 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-1) | F(-1) | F | F | F(-1) |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1189 | 1189 | 5618 | 13068424 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 4.72 | 10991.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 6.289 | 40.520 | 1.085 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 12 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-1) | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 865 | 865 | 737 | 13067692 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 15107.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 4.774 | 28.067 | 0.934 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 13 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-2) | F(-1) | F | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 686 | 686 | 382 | 13067316 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.56 | 19048.57 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 4.598 | 27.221 | 0.873 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 14 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-2) | F(-1) | F | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 635 | 635 | 375 | 13067191 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.59 | 20578.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 3.757 | 26.638 | 0.862 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 15 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-1) | F(-1) | F | F | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 749 | 749 | 558961 | 21263243 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 746.28 | 28388.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 4.476 | 50.193 | 86.888 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 16 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F(-1) | F(-1) | F(-1) | F | F | F(-1) |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1008 | 1008 | 930953 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 923.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 4.851 | 55.047 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Problem 17 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | A | F(-1) | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 179905 | 240 | 0 | 2100 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 988.49 | 1.32 | 0.00 | 11.54 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.389 | 34.633 | 0.745 | 0.000 | 4.832 | 0.000 | 0.000 | 0.000 |
Problem 18 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | A | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 64578 | 155 | 0 | 1695 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 458.00 | 1.10 | 0.00 | 12.02 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.214 | 46.550 | 0.594 | 0.000 | 3.973 | 0.000 | 0.000 | 0.000 |
Problem 19 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | A | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 24736 | 102 | 0 | 433 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 313.11 | 1.29 | 0.00 | 5.48 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.116 | 34.935 | 0.661 | 0.000 | 1.479 | 0.000 | 0.000 | 0.000 |
Problem 20 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 44361 | 0 | 0 | 1141 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 312.40 | 0.00 | 0.00 | 8.04 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.244 | 29.329 | 2.354 | 0.000 | 2.769 | 0.000 | 0.000 | 0.000 |
Problem 21 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F(-1) | A | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 37459 | 0 | 0 | 1444 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 150.44 | 0.00 | 0.00 | 5.80 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.319 | 32.540 | 2.378 | 0.000 | 3.469 | 0.000 | 0.000 | 0.000 |
Problem 22 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | B | F | F(-1) | F(-1) |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 539292 | 684 | 0 | 3019 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1997.38 | 2.53 | 0.00 | 11.18 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.556 | 38.546 | 0.500 | 0.000 | 6.435 | 0.000 | 0.000 | 0.000 |
Problem 23 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 412434 | 467 | 0 | 2344 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1973.37 | 2.23 | 0.00 | 11.22 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.341 | 36.617 | 0.498 | 0.000 | 6.184 | 0.000 | 0.000 | 0.000 |
Problem 24 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | A | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 286262 | 289 | 0 | 1932 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1599.23 | 1.61 | 0.00 | 10.79 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.221 | 35.082 | 0.534 | 0.000 | 4.527 | 0.000 | 0.000 | 0.000 |
Problem 25 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | A | F | F | A | F | F(-1) | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 253 | 0 | 0 | 2522 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.25 | 0.00 | 0.00 | 12.42 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.270 | 12.818 | 1.988 | 0.000 | 1.983 | 0.000 | 0.000 | 0.000 |
Problem 26 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F | A | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 215131 | 0 | 0 | 1282 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 494.55 | 0.00 | 0.00 | 2.95 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.537 | 34.984 | 2.167 | 0.000 | 4.314 | 0.000 | 0.000 | 0.000 |
Problem 27 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F(-2) | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 243520 | 828 | 0 | 6011 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1031.86 | 3.51 | 0.00 | 25.47 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.559 | 36.269 | 0.707 | 0.000 | 5.972 | 0.000 | 0.000 | 0.000 |
Problem 28 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 25130 | 599 | 0 | 1743 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 157.06 | 3.74 | 0.00 | 10.89 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.394 | 31.855 | 0.560 | 0.000 | 1.206 | 0.000 | 0.000 | 0.000 |
Problem 29 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 25123 | 509 | 0 | 1717 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 164.20 | 3.33 | 0.00 | 11.22 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.284 | 31.653 | 0.564 | 0.000 | 1.826 | 0.000 | 0.000 | 0.000 |
Problem 30 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | B | F | B | F | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 25149 | 417 | 0 | 1771 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 161.21 | 2.67 | 0.00 | 11.35 | 0.00 | 0.00 | -0.01 |
time (sec) | N/A | 0.220 | 7.627 | 0.638 | 0.000 | 1.798 | 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 | F(-1) | F |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 181078 | 0 | 0 | 4153 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 646.71 | 0.00 | 0.00 | 14.83 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.383 | 35.960 | 2.175 | 0.000 | 8.353 | 0.000 | 0.000 | 0.000 |
Problem 32 | Optimal | Rubi | Mathematica | Maple | Maxima | Fricas | Sympy | Giac | Mupad |
grade | A | A | C | F | F(-1) | B | F | F(-1) | F(-1) |
verified | N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 478 | 478 | 293889 | 0 | 0 | 5274 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 614.83 | 0.00 | 0.00 | 11.03 | 0.00 | 0.00 | -0.00 |
time (sec) | N/A | 0.559 | 37.952 | 2.169 | 0.000 | 8.130 | 0.000 | 0.000 | 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 [6] had the largest ratio of [.4242]
# | grade |
|
|
|
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) | |||||||||||
1 | A | 15 | 10 | 1.00 | 33 | 0.303 | |||||||||||
2 | A | 11 | 8 | 1.00 | 33 | 0.242 | |||||||||||
3 | A | 6 | 4 | 1.00 | 31 | 0.129 | |||||||||||
4 | A | 10 | 7 | 1.00 | 31 | 0.226 | |||||||||||
5 | A | 14 | 9 | 1.00 | 33 | 0.273 | |||||||||||
6 | A | 21 | 14 | 1.00 | 33 | 0.424 | |||||||||||
7 | A | 16 | 12 | 1.00 | 33 | 0.364 | |||||||||||
8 | A | 10 | 9 | 1.00 | 31 | 0.290 | |||||||||||
9 | A | 18 | 13 | 1.00 | 31 | 0.419 | |||||||||||
10 | A | 21 | 14 | 1.00 | 33 | 0.424 | |||||||||||
11 | A | 20 | 12 | 1.00 | 33 | 0.364 | |||||||||||
12 | A | 14 | 11 | 1.00 | 33 | 0.333 | |||||||||||
13 | A | 10 | 7 | 1.00 | 33 | 0.212 | |||||||||||
14 | A | 7 | 5 | 1.00 | 31 | 0.161 | |||||||||||
15 | A | 13 | 10 | 1.00 | 31 | 0.323 | |||||||||||
16 | A | 18 | 12 | 1.00 | 33 | 0.364 | |||||||||||
17 | A | 8 | 7 | 1.00 | 35 | 0.200 | |||||||||||
18 | A | 7 | 6 | 1.00 | 35 | 0.171 | |||||||||||
19 | A | 4 | 4 | 1.00 | 33 | 0.121 | |||||||||||
20 | A | 8 | 5 | 1.00 | 33 | 0.152 | |||||||||||
21 | A | 11 | 6 | 1.00 | 35 | 0.171 | |||||||||||
22 | A | 9 | 8 | 1.00 | 35 | 0.229 | |||||||||||
23 | A | 8 | 7 | 1.00 | 35 | 0.200 | |||||||||||
24 | A | 8 | 7 | 1.00 | 33 | 0.212 | |||||||||||
25 | A | 10 | 7 | 1.00 | 33 | 0.212 | |||||||||||
26 | A | 22 | 9 | 1.00 | 35 | 0.257 | |||||||||||
27 | A | 8 | 7 | 1.00 | 35 | 0.200 | |||||||||||
28 | A | 6 | 6 | 1.00 | 35 | 0.171 | |||||||||||
29 | A | 6 | 6 | 1.00 | 35 | 0.171 | |||||||||||
30 | A | 6 | 6 | 1.00 | 33 | 0.182 | |||||||||||
31 | A | 12 | 7 | 1.00 | 33 | 0.212 | |||||||||||
32 | A | 16 | 8 | 1.00 | 35 | 0.229 | |||||||||||