Chapter 2
detailed summary tables of results

 2.1 List of integrals sorted by grade for each CAS
  2.1.1 Rubi
  2.1.2 Mathematica
  2.1.3 Maple
  2.1.4 Maxima
  2.1.5 FriCAS
  2.1.6 Sympy
  2.1.7 Giac
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 46, 47, 48, 49, 50 }

B grade: { 4, 42 }

C grade: { 5, 12, 13 }

F grade: { 3, 45}

2.1.2 Mathematica

A grade: { 1, 2, 4, 6, 7, 10, 11, 14, 15, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 40, 42, 43, 44, 45, 46, 48, 49, 50 }

B grade: { 3, 17, 21, 41 }

C grade: { 5, 8, 9, 12, 13, 37, 38, 39, 47 }

F grade: { }

2.1.3 Maple

A grade: { 2, 6, 7, 9, 19, 24, 27, 32, 34, 36, 37, 43, 48 }

B grade: { 1, 3, 4, 8, 40, 42, 44, 47, 49, 50 }

C grade: { 5, 12, 18, 28, 31, 33, 35, 38, 39, 46 }

F grade: { 10, 11, 13, 14, 15, 16, 17, 20, 21, 22, 23, 25, 26, 29, 30, 41, 45 }

2.1.4 Maxima

A grade: { 1, 2, 3, 9, 16, 18, 19, 20, 24, 25, 27, 28, 31, 32, 33, 34, 35, 36, 37, 46, 48

B grade: { 7, 40, 43 }

C grade: { }

F grade: { 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 17, 21, 22, 23, 26, 29, 30, 38, 39, 41, 42, 44, 45, 47, 49, 50 }

2.1.5 FriCAS

A grade: { 1, 2, 5, 9, 10, 11, 12, 13, 14, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 46, 48 }

B grade: { 4, 6, 7, 15, 16, 17, 21, 22, 37, 38, 40, 41, 42, 43, 44, 47, 49, 50 }

C grade: { }

F grade: { 3, 8, 45 }

2.1.6 Sympy

A grade: { 1, 2, 10, 19, 20, 24, 25, 31, 33, 34, 36, 46, 48 }

B grade: { 28, 37, 40 }

C grade: { 16, 18 }

F grade: { 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 21, 22, 23, 26, 27, 29, 30, 32, 35, 38, 39, 41, 42, 43, 44, 45, 47, 49, 50 }

2.1.7 Giac

A grade: { 2, 6, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 33, 34, 35, 36, 37, 40, 43, 48, 49, 50 }

B grade: { 1, 4, 7, 12, 13, 27, 29, 30, 31, 32, 41 }

C grade: { 8 }

F grade: { 3, 5, 9, 11, 23, 38, 39, 42, 44, 45, 46, 47 }

2.2 Detailed conclusion table per each integral for all CAS systems

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









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 52 93 78 167 102 367
normalized size 1 1. 1.02 1.82 1.53 3.27 2. 7.2
time (sec) N/A 0.029 0.021 0.039 1.422 2.518 6.864 1.176


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 16 20 42 12 20
normalized size 1 1. 1. 0.94 1.18 2.47 0.71 1.18
time (sec) N/A 0.028 0.005 0.044 1.43 2.48 0.187 1.123


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F B B A F(-1) F F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 69 0 205 251 5 0 0 0
normalized size 1 0. 2.97 3.64 0.07 0. 0. 0.
time (sec) N/A 0.153 0.604 0.688 4.058 0. 0. 0.


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A B F B F B
verified N/A NO Yes TBD TBD TBD TBD TBD
size 97 332 194 426 0 1222 0 317
normalized size 1 3.42 2. 4.39 0. 12.6 0. 3.27
time (sec) N/A 0.669 0.358 0.143 0. 2.903 0. 1.275


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C C F A F(-1) F
verified N/A NO Yes TBD TBD TBD TBD TBD
size 45 289 159 312 0 105 0 0
normalized size 1 6.42 3.53 6.93 0. 2.33 0. 0.
time (sec) N/A 0.491 2.022 0.421 0. 3.841 0. 0.


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 74 64 0 263 0 107
normalized size 1 1. 1.32 1.14 0. 4.7 0. 1.91
time (sec) N/A 0.069 0.11 0.055 0. 4.033 0. 1.119


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 12 36 92 0 38
normalized size 1 1. 1. 0.8 2.4 6.13 0. 2.53
time (sec) N/A 0.031 0.014 0.043 0.961 3.134 0. 1.234


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F(-1) F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 99 1605 0 0 0 370
normalized size 1 1. 0.72 11.72 0. 0. 0. 2.7
time (sec) N/A 0.18 10.03 0.154 0. 0. 0. 1.298


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 41 41 285 42 81 116 0 0
normalized size 1 1. 6.95 1.02 1.98 2.83 0. 0.
time (sec) N/A 0.022 3.812 0.041 1.44 2.825 0. 0.


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 62 38 0 0 80 56 62
normalized size 1 1.41 0.86 0. 0. 1.82 1.27 1.41
time (sec) N/A 0.676 0.158 0.029 0. 2.726 2.141 1.155


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 64 0 0 127 0 0
normalized size 1 1. 0.94 0. 0. 1.87 0. 0.
time (sec) N/A 0.146 0.049 0.014 0. 2.436 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C C F A F(-1) B
verified N/A NO NO TBD TBD TBD TBD TBD
size 141 269 1822 439 0 529 0 491
normalized size 1 1.91 12.92 3.11 0. 3.75 0. 3.48
time (sec) N/A 0.746 3.397 0.061 0. 2.63 0. 1.139


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C F F A F(-1) B
verified N/A NO Yes TBD TBD TBD TBD TBD
size 152 286 2180 0 0 548 0 504
normalized size 1 1.88 14.34 0. 0. 3.61 0. 3.32
time (sec) N/A 0.457 4.531 0.059 0. 2.638 0. 1.246


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 51 44 0 0 182 0 77
normalized size 1 1.13 0.98 0. 0. 4.04 0. 1.71
time (sec) N/A 0.121 0.042 180. 0. 2.803 0. 1.142


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 64 0 0 153 0 49
normalized size 1 1. 1.88 0. 0. 4.5 0. 1.44
time (sec) N/A 0.035 0.095 0.019 0. 2.554 0. 1.14


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 0 24 146 78 24
normalized size 1 1. 1. 0. 1.09 6.64 3.55 1.09
time (sec) N/A 0.02 0.027 0.106 1.448 2.324 13.066 1.128


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 89 0 0 149 0 49
normalized size 1 1. 2.78 0. 0. 4.66 0. 1.53
time (sec) N/A 0.041 0.083 0.012 0. 1.982 0. 1.116


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 89 55 86 37 84
normalized size 1 1. 1. 2.07 1.28 2. 0.86 1.95
time (sec) N/A 0.045 0.023 0.053 1.435 2.147 177.985 1.117


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 21 46 104 48 47
normalized size 1 1. 1. 0.75 1.64 3.71 1.71 1.68
time (sec) N/A 0.009 0.005 0.017 0.953 1.886 1.125 1.092


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 30 57 20 30
normalized size 1 1. 1. 0. 1.15 2.19 0.77 1.15
time (sec) N/A 0.036 0.021 0.024 1.057 1.998 23.102 1.1


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 85 0 0 311 0 51
normalized size 1 1. 2.24 0. 0. 8.18 0. 1.34
time (sec) N/A 0.052 0.081 0.263 0. 2.3 0. 1.112


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 94 88 0 0 278 0 70
normalized size 1 1.34 1.26 0. 0. 3.97 0. 1.
time (sec) N/A 0.132 0.094 0.58 0. 2.32 0. 1.133


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 58 0 0 151 0 0
normalized size 1 1. 1. 0. 0. 2.6 0. 0.
time (sec) N/A 0.142 0.036 0.09 0. 2.149 0. 0.


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 41 37 49 86 31 49
normalized size 1 1. 0.75 0.67 0.89 1.56 0.56 0.89
time (sec) N/A 0.053 0.021 0.005 0.942 2.078 7.99 1.09


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 30 57 20 30
normalized size 1 1. 1. 0. 1.15 2.19 0.77 1.15
time (sec) N/A 0.033 0.019 0.012 1.543 2.173 23.107 1.104


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 119 0 0 293 0 165
normalized size 1 1. 1.53 0. 0. 3.76 0. 2.12
time (sec) N/A 0.271 0.06 0.019 0. 2.157 0. 1.148


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 25 35 47 95 0 99
normalized size 1 1. 0.64 0.9 1.21 2.44 0. 2.54
time (sec) N/A 0.048 0.031 0.033 1.436 2.081 0. 1.092


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 54 20 69 29 31
normalized size 1 1. 1. 3.18 1.18 4.06 1.71 1.82
time (sec) N/A 0.028 0.015 0.104 1.422 2.109 2.72 1.105


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 77 0 0 211 0 140
normalized size 1 1. 1.35 0. 0. 3.7 0. 2.46
time (sec) N/A 0.08 0.068 0.214 0. 2.207 0. 1.107


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 0 0 182 0 146
normalized size 1 1. 1. 0. 0. 4.04 0. 3.24
time (sec) N/A 0.042 0.034 0.144 0. 2.152 0. 1.135


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 33 56 30 127 19 73
normalized size 1 1. 1.14 1.93 1.03 4.38 0.66 2.52
time (sec) N/A 0.048 0.025 0.099 1.432 2.077 21.48 1.088


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 20 26 55 0 54
normalized size 1 1. 1. 0.95 1.24 2.62 0. 2.57
time (sec) N/A 0.044 0.014 0.038 1.427 2.156 0. 1.09


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 27 119 36 80 29 38
normalized size 1 1. 0.79 3.5 1.06 2.35 0.85 1.12
time (sec) N/A 0.034 0.018 0.042 1.423 2.109 2.907 1.109


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 21 29 39 88 26 78
normalized size 1 1. 0.64 0.88 1.18 2.67 0.79 2.36
time (sec) N/A 0.042 0.025 0.029 1.424 2.071 6.69 1.084


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 35 97 20 46 0 30
normalized size 1 1. 1.4 3.88 0.8 1.84 0. 1.2
time (sec) N/A 0.029 0.042 0.355 0.974 2.173 0. 1.117


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 40 39 34 119 41 59
normalized size 1 1. 1.18 1.15 1. 3.5 1.21 1.74
time (sec) N/A 0.035 0.017 0.025 1.427 2.062 4.548 1.09


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 46 14 32 92 46 36
normalized size 1 1. 2.88 0.88 2. 5.75 2.88 2.25
time (sec) N/A 0.018 0.051 0.012 1.426 1.993 25.318 1.091


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 36 112 0 111 0 0
normalized size 1 1. 1.57 4.87 0. 4.83 0. 0.
time (sec) N/A 0.032 0.096 0.059 0. 2.332 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 40 112 0 61 0 0
normalized size 1 1. 1.74 4.87 0. 2.65 0. 0.
time (sec) N/A 0.032 0.088 0.015 0. 2.276 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 39 54 111 365 97 49
normalized size 1 1. 1.77 2.45 5.05 16.59 4.41 2.23
time (sec) N/A 0.071 0.042 0.093 1.433 2.034 1.676 1.143


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 87 0 0 539 0 2256
normalized size 1 1. 2.07 0. 0. 12.83 0. 53.71
time (sec) N/A 0.153 0.084 0.13 0. 2.196 0. 1.666


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 59 45 91 0 163 0 0
normalized size 1 2.11 1.61 3.25 0. 5.82 0. 0.
time (sec) N/A 0.184 0.035 0.137 0. 2.376 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 55 37 763 635 0 68
normalized size 1 1. 1.62 1.09 22.44 18.68 0. 2.
time (sec) N/A 0.045 0.068 0.03 1.781 2.219 0. 1.1


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 50 65 67 0 193 0 0
normalized size 1 1.28 1.67 1.72 0. 4.95 0. 0.
time (sec) N/A 0.046 0.085 0.242 0. 2.784 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F F(-1) F F(-1)
verified N/A N/A NO TBD TBD TBD TBD TBD
size 337 0 552 0 0 0 0 0
normalized size 1 0. 1.64 0. 0. 0. 0. 0.
time (sec) N/A 0.794 1.995 0.16 0. 0. 0. 0.


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 58 3134 90 173 87 0
normalized size 1 1. 0.75 40.7 1.17 2.25 1.13 0.
time (sec) N/A 0.22 0.019 0.913 1.459 2.44 2.853 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 136 510 0 782 0 0
normalized size 1 1. 1.13 4.25 0. 6.52 0. 0.
time (sec) N/A 0.131 0.307 0.035 0. 2.685 0. 0.


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A NO Yes TBD TBD TBD TBD TBD
size 31 37 39 28 35 72 29 36
normalized size 1 1.19 1.26 0.9 1.13 2.32 0.94 1.16
time (sec) N/A 0.009 0.376 0.016 1.569 2.42 78.514 1.105


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 138 0 146 0 46
normalized size 1 1. 1. 4.76 0. 5.03 0. 1.59
time (sec) N/A 0.024 0.011 0.072 0. 2.457 0. 1.155


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 106 198 0 509 0 150
normalized size 1 1. 1. 1.87 0. 4.8 0. 1.42
time (sec) N/A 0.11 0.179 0.052 0. 2.192 0. 1.131









2.3 Detailed conclusion table specific for Rubi results

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 [1] had the largest ratio of [ 1.4 ]

Table 2.1Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 8 7 1. 5 1.4







2 A 2 2 1. 15 0.133







3 F 0 0 N/A 0 N/A







4 B 32 13 3.42 14 0.929







5 C 5 4 6.42 19 0.21







6 A 7 7 1. 13 0.538







7 A 4 4 1. 13 0.308







8 A 9 7 1. 14 0.5







9 A 7 7 1. 12 0.583







10 A 5 5 1.41 19 0.263







11 A 7 8 1. 29 0.276







12 C 40 15 1.91 14 1.071







13 C 32 16 1.88 27 0.593







14 A 9 11 1.13 18 0.611







15 A 3 4 1. 24 0.167







16 A 3 4 1. 12 0.333







17 A 3 4 1. 22 0.182







18 A 4 4 1. 15 0.267







19 A 4 4 1. 13 0.308







20 A 2 3 1. 23 0.13







21 A 5 6 1. 17 0.353







22 A 7 8 1.34 15 0.533







23 A 4 9 1. 25 0.36







24 A 5 5 1. 27 0.185







25 A 2 3 1. 23 0.13







26 A 18 11 1. 27 0.407







27 A 3 3 1. 17 0.176







28 A 2 2 1. 13 0.154







29 A 7 6 1. 17 0.353







30 A 5 5 1. 15 0.333







31 A 4 4 1. 15 0.267







32 A 2 2 1. 17 0.118







33 A 5 5 1. 13 0.385







34 A 3 3 1. 15 0.2







35 A 2 2 1. 13 0.154







36 A 5 5 1. 13 0.385







37 A 2 2 1. 11 0.182







38 A 2 2 1. 24 0.083







39 A 2 2 1. 24 0.083







40 A 4 5 1. 10 0.5







41 A 6 7 1. 12 0.583







42 B 5 5 2.11 13 0.385







43 A 4 4 1. 13 0.308







44 A 4 4 1.28 15 0.267







45 F 0 0 N/A 0 N/A







46 A 13 10 1. 12 0.833







47 A 12 8 1. 12 0.667







48 A 6 6 1.19 18 0.333







49 A 4 4 1. 14 0.286







50 A 6 6 1. 14 0.429