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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, 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, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 58, 59, 60, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 96, 97, 98, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 132, 133, 134, 135, 136, 138, 139, 140, 141, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 160, 161, 162, 163, 164, 165, 167, 168, 169, 174, 175, 176, 177, 178, 179, 180, 181, 183, 184, 185, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 201, 202, 203, 205, 206, 207, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218 }

B grade: { 22, 28, 57, 131, 137, 166 }

C grade: { }

F grade: { 9, 33, 37, 49, 50, 61, 62, 63, 64, 73, 77, 91, 95, 99, 118, 142, 146, 158, 159, 170, 171, 172, 173, 182, 186, 200, 204, 208}

2.1.3 Maple

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, 32, 34, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 51, 52, 53, 57, 65, 66, 67, 68, 69, 70, 72, 74, 76, 78, 79, 80, 81, 82, 84, 85, 86, 88, 89, 90, 92, 94, 96, 98, 100, 102, 103, 104, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 141, 143, 145, 147, 148, 149, 150, 151, 153, 154, 155, 157, 160, 161, 162, 166, 174, 175, 176, 177, 178, 179, 181, 183, 185, 187, 188, 189, 190, 191, 193, 194, 195, 197, 198, 199, 201, 203, 205, 207, 209, 211, 212, 213, 215, 216, 217 }

B grade: { }

C grade: { }

F grade: { 31, 33, 35, 37, 43, 47, 49, 50, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 71, 73, 75, 77, 83, 87, 91, 93, 95, 97, 99, 101, 105, 109, 140, 142, 144, 146, 152, 156, 158, 159, 163, 164, 165, 167, 168, 169, 170, 171, 172, 173, 180, 182, 184, 186, 192, 196, 200, 202, 204, 206, 208, 210, 214, 218 }

2.1.4 Maxima

A grade: { 23, 24, 29, 30, 39, 40, 41, 42, 44, 45, 46, 48, 52, 53, 80, 81, 82, 84, 85, 86, 88, 89, 90, 100, 102, 103, 104, 106, 107, 108, 132, 133, 138, 139, 148, 149, 150, 151, 153, 154, 155, 157, 161, 162, 189, 190, 191, 193, 194, 195, 197, 198, 199, 209, 211, 212, 213, 215, 216, 217

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, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 43, 47, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 87, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 146, 147, 152, 156, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 192, 196, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 214, 218 }

2.1.5 FriCAS

A grade: { 23, 24, 29, 30, 39, 40, 41, 42, 44, 45, 46, 48, 52, 53, 80, 81, 82, 84, 85, 86, 88, 89, 90, 100, 102, 103, 104, 106, 107, 108, 132, 133, 138, 139, 148, 149, 150, 151, 153, 154, 155, 157, 161, 162, 189, 190, 191, 193, 194, 195, 197, 198, 199, 209, 211, 212, 213, 215, 216, 217 }

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, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 43, 47, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 87, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 146, 147, 152, 156, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 192, 196, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 214, 218 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18, 23, 24, 29, 30, 39, 40, 41, 42, 44, 45, 46, 48, 52, 53, 65, 66, 67, 68, 69, 70, 75, 79, 80, 81, 82, 84, 85, 86, 90, 93, 97, 100, 102, 103, 104, 106, 110, 111, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 125, 126, 127, 132, 133, 138, 139, 148, 149, 150, 151, 153, 154, 155, 157, 161, 162, 174, 175, 176, 177, 178, 179, 184, 188, 189, 190, 191, 193, 194, 195, 199, 202, 206, 209, 211, 212, 213, 215 }

B grade: { 8, 10, 117, 119 }

C grade: { }

F grade: { 9, 19, 20, 21, 22, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 43, 47, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 71, 72, 73, 74, 76, 77, 78, 83, 87, 88, 89, 91, 92, 94, 95, 96, 98, 99, 101, 105, 107, 108, 109, 118, 128, 129, 130, 131, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 146, 147, 152, 156, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 180, 181, 182, 183, 185, 186, 187, 192, 196, 197, 198, 200, 201, 203, 204, 205, 207, 208, 210, 214, 216, 217, 218 }

2.1.7 Giac

A grade: { 23, 24, 29, 30, 39, 40, 41, 42, 44, 45, 46, 48, 52, 53, 80, 81, 82, 84, 85, 86, 88, 89, 90, 100, 102, 103, 104, 106, 107, 108, 132, 133, 138, 139, 148, 149, 150, 151, 153, 154, 155, 157, 161, 162, 189, 190, 191, 193, 194, 195, 197, 198, 199, 209, 211, 212, 213, 215, 216, 217 }

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, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 43, 47, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 87, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 134, 135, 136, 137, 140, 141, 142, 143, 144, 145, 146, 147, 152, 156, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 192, 196, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 214, 218 }

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 A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 88 123 0 0 184 0
normalized size 1 1. 0.71 0.99 0. 0. 1.48 0.
time (sec) N/A 0.088 0.068 0.049 0. 0. 2.421 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 83 107 0 0 156 0
normalized size 1 1. 0.76 0.98 0. 0. 1.43 0.
time (sec) N/A 0.111 0.052 0.049 0. 0. 1.766 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 79 96 0 0 53 0
normalized size 1 1. 0.8 0.97 0. 0. 0.54 0.
time (sec) N/A 0.064 0.069 0.049 0. 0. 1.047 0.
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 71 80 0 0 121 0
normalized size 1 1. 0.85 0.95 0. 0. 1.44 0.
time (sec) N/A 0.08 0.041 0.052 0. 0. 1.629 0.
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 70 0 0 112 0
normalized size 1 1. 1. 0.95 0. 0. 1.51 0.
time (sec) N/A 0.047 0.016 0.046 0. 0. 0.934 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 54 0 0 80 0
normalized size 1 1. 1. 0.92 0. 0. 1.36 0.
time (sec) N/A 0.053 0.012 0.049 0. 0. 0.828 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 44 0 0 53 0
normalized size 1 1. 1. 0.9 0. 0. 1.08 0.
time (sec) N/A 0.024 0.011 0.049 0. 0. 0.524 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 27 0 0 48 0
normalized size 1 1. 1. 1.04 0. 0. 1.85 0.
time (sec) N/A 0.005 0.002 0.046 0. 0. 0.833 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F F(-2) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 73 73 0 29 0 0 0 0
normalized size 1 1. 0. 0.4 0. 0. 0. 0.
time (sec) N/A 0.047 0.014 0.08 0. 0. 0. 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 28 0 0 42 0
normalized size 1 1. 1. 1.04 0. 0. 1.56 0.
time (sec) N/A 0.022 0.011 0.049 0. 0. 0.545 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 43 0 0 51 0
normalized size 1 1. 1. 0.98 0. 0. 1.16 0.
time (sec) N/A 0.029 0.011 0.048 0. 0. 0.624 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 49 0 0 56 0
normalized size 1 1. 1. 0.94 0. 0. 1.08 0.
time (sec) N/A 0.064 0.014 0.052 0. 0. 1.387 0.
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 65 0 0 110 0
normalized size 1 1. 1. 0.94 0. 0. 1.59 0.
time (sec) N/A 0.043 0.015 0.05 0. 0. 1.117 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 71 0 0 46 0
normalized size 1 1. 1. 0.92 0. 0. 0.6 0.
time (sec) N/A 0.089 0.018 0.049 0. 0. 1.211 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 76 86 0 0 56 0
normalized size 1 1. 0.81 0.91 0. 0. 0.6 0.
time (sec) N/A 0.059 0.057 0.05 0. 0. 1.529 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 85 93 0 0 68 0
normalized size 1 1. 0.83 0.91 0. 0. 0.67 0.
time (sec) N/A 0.122 0.062 0.047 0. 0. 2.944 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 84 109 0 0 185 0
normalized size 1 1. 0.71 0.92 0. 0. 1.55 0.
time (sec) N/A 0.081 0.055 0.047 0. 0. 3.71 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 96 115 0 0 48 0
normalized size 1 1. 0.76 0.91 0. 0. 0.38 0.
time (sec) N/A 0.153 0.166 0.047 0. 0. 5.553 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 424 400 0 0 0 0
normalized size 1 1. 1.43 1.35 0. 0. 0. 0.
time (sec) N/A 0.401 0.814 0.054 0. 0. 0. 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 236 251 0 0 0 0
normalized size 1 1. 1.22 1.3 0. 0. 0. 0.
time (sec) N/A 0.226 0.457 0.055 0. 0. 0. 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 61 108 0 0 0 0
normalized size 1 1. 0.5 0.89 0. 0. 0. 0.
time (sec) N/A 0.114 0.209 0.051 0. 0. 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 89 33 0 0 0 0
normalized size 1 1. 2.47 0.92 0. 0. 0. 0.
time (sec) N/A 0.006 0.029 0.046 0. 0. 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.025 0.369 0. 0. 0. 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 4.864 0.413 0. 0. 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 166 189 0 0 0 0
normalized size 1 1. 0.72 0.83 0. 0. 0. 0.
time (sec) N/A 0.184 0.324 0.052 0. 0. 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 115 121 0 0 0 0
normalized size 1 1. 0.78 0.82 0. 0. 0. 0.
time (sec) N/A 0.129 0.238 0.05 0. 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 51 80 0 0 0 0
normalized size 1 1. 0.53 0.83 0. 0. 0. 0.
time (sec) N/A 0.067 0.166 0.051 0. 0. 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 89 33 0 0 0 0
normalized size 1 1. 2.47 0.92 0. 0. 0. 0.
time (sec) N/A 0.007 0.03 0.046 0. 0. 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.026 0.054 0. 0. 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 3.246 0.1 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 253 253 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.428 0.021 0.053 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 171 324 0 0 0 0
normalized size 1 1. 0.72 1.36 0. 0. 0. 0.
time (sec) N/A 0.318 0.289 0.077 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 265 265 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.3 0.207 0.053 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 137 208 0 0 0 0
normalized size 1 1. 0.77 1.18 0. 0. 0. 0.
time (sec) N/A 0.188 0.133 0.075 0. 0. 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 140 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.151 0.006 0.051 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 100 122 0 0 0 0
normalized size 1 1. 0.81 0.98 0. 0. 0. 0.
time (sec) N/A 0.111 0.108 0.072 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 143 143 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.172 0.053 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 49 0 0 0 0
normalized size 1 1. 1. 0.89 0. 0. 0. 0.
time (sec) N/A 0.038 0.009 0.056 0. 0. 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.017 0.05 0. 0. 0. 0.
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.027 0.052 0. 0. 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.02 0.053 0. 0. 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 119 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.026 0.055 0. 0. 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 127 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.143 0.006 0.062 0. 0. 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 170 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.027 0.056 0. 0. 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 165 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.222 0.02 0.05 0. 0. 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 258 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.245 0.027 0.057 0. 0. 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 242 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.393 0.011 0.062 0. 0. 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 285 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.358 0.027 0.056 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 497 497 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.41 0.664 0.244 0. 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 279 279 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.196 0.585 0.056 0. 0. 0. 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 67 60 0 0 0 0
normalized size 1 1. 0.96 0.86 0. 0. 0. 0.
time (sec) N/A 0.168 0.01 0.056 0. 0. 0. 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.036 0.36 0. 0. 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.082 0.355 0. 0. 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 231 231 319 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.571 6.888 0.701 0. 0. 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 319 0 0 0 0 0
normalized size 1 1. 1.41 0. 0. 0. 0. 0.
time (sec) N/A 0.435 6.65 0.535 0. 0. 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 316 0 0 0 0 0
normalized size 1 1. 1.48 0. 0. 0. 0. 0.
time (sec) N/A 0.326 6.659 0.541 0. 0. 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 164 80 0 0 0 0
normalized size 1 1. 2.52 1.23 0. 0. 0. 0.
time (sec) N/A 0.041 0.093 0.216 0. 0. 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 195 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.511 3.968 0.517 0. 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 200 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.523 3.989 0.522 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 244 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.702 5.504 0.306 0. 0. 0. 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 64 64 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 0.03 0.114 0. 0. 0. 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 64 64 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.032 0.069 0. 0. 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.049 0.085 0. 0. 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 0.044 0.073 0. 0. 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.015 0.004 0.046 0. 0. 1.404 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.011 0.003 0.045 0. 0. 0.434 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 0 0 8 0
normalized size 1 1. 1. 1.11 0. 0. 0.89 0.
time (sec) N/A 0.015 0.01 0.118 0. 0. 0.235 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 0 0 10 0
normalized size 1 1. 1. 1.09 0. 0. 0.91 0.
time (sec) N/A 0.015 0.003 0.043 0. 0. 0.78 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 14 0
normalized size 1 1. 1. 0.92 0. 0. 1.08 0.
time (sec) N/A 0.015 0.004 0.044 0. 0. 1.934 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 18 0 0 31 0
normalized size 1 1. 1. 1.06 0. 0. 1.82 0.
time (sec) N/A 0.018 0.006 0.046 0. 0. 4.624 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 232 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.384 0.013 0.077 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 153 318 0 0 0 0
normalized size 1 1. 0.71 1.47 0. 0. 0. 0.
time (sec) N/A 0.265 0.276 0.076 0. 0. 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 248 248 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.255 0.469 0.089 0. 0. 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 120 202 0 0 0 0
normalized size 1 1. 0.76 1.28 0. 0. 0. 0.
time (sec) N/A 0.156 0.173 0.078 0. 0. 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 120 0 0 0 151 0
normalized size 1 1. 1. 0. 0. 0. 1.26 0.
time (sec) N/A 0.118 0.006 0.079 0. 0. 26.593 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 83 115 0 0 0 0
normalized size 1 1. 0.79 1.1 0. 0. 0. 0.
time (sec) N/A 0.081 0.102 0.083 0. 0. 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 137 137 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.216 0.095 0. 0. 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 46 0 0 0 0
normalized size 1 1. 0.9 0.94 0. 0. 0. 0.
time (sec) N/A 0.022 0.024 0.063 0. 0. 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.011 0.002 0.046 0. 0. 0.451 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.03 0.079 0. 0. 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.03 0.054 0. 0. 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.03 0.067 0. 0. 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 109 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.008 0.062 0. 0. 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 152 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 0.03 0.062 0. 0. 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 147 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.193 0.031 0.062 0. 0. 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 240 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.03 0.056 0. 0. 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 224 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.353 0.013 0.055 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 267 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.306 0.032 0.062 0. 0. 0. 0.
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 262 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.477 0.032 0.053 0. 0. 0. 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.073 0.062 0. 0. 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 307 307 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.442 0.046 0.088 0. 0. 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 163 321 0 0 0 0
normalized size 1 1. 0.75 1.48 0. 0. 0. 0.
time (sec) N/A 0.271 0.176 0.084 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 184 0 0 0 264 0
normalized size 1 1. 1. 0. 0. 0. 1.43 0.
time (sec) N/A 0.253 0.009 0.088 0. 0. 124.888 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 126 212 0 0 0 0
normalized size 1 1. 0.76 1.28 0. 0. 0. 0.
time (sec) N/A 0.169 0.173 0.079 0. 0. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 195 195 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.038 0.084 0. 0. 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 90 119 0 0 0 0
normalized size 1 1. 0.83 1.1 0. 0. 0. 0.
time (sec) N/A 0.09 0.081 0.075 0. 0. 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 73 0 0 0 114 0
normalized size 1 1. 1. 0. 0. 0. 1.56 0.
time (sec) N/A 0.055 0.005 0.086 0. 0. 4.716 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 48 52 0 0 0 0
normalized size 1 1. 0.81 0.88 0. 0. 0. 0.
time (sec) N/A 0.032 0.028 0.066 0. 0. 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 80 80 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.014 0.058 0. 0. 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.03 0.086 0. 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.005 0.063 0. 0. 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 93 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 0.031 0.063 0. 0. 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.034 0.061 0. 0. 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 155 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.032 0.063 0. 0. 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 163 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.214 0.01 0.062 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 230 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.205 0.033 0.065 0. 0. 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 201 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.319 0.033 0.063 0. 0. 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 270 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.31 0.032 0.064 0. 0. 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 278 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.516 0.016 0.064 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 89 123 0 0 184 0
normalized size 1 1. 0.72 0.99 0. 0. 1.48 0.
time (sec) N/A 0.082 0.071 0.049 0. 0. 2.6 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 83 107 0 0 153 0
normalized size 1 1. 0.76 0.98 0. 0. 1.4 0.
time (sec) N/A 0.114 0.056 0.049 0. 0. 2.361 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 80 97 0 0 49 0
normalized size 1 1. 0.81 0.98 0. 0. 0.49 0.
time (sec) N/A 0.062 0.063 0.048 0. 0. 1.129 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 71 81 0 0 116 0
normalized size 1 1. 0.85 0.96 0. 0. 1.38 0.
time (sec) N/A 0.077 0.043 0.046 0. 0. 1.223 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 70 0 0 112 0
normalized size 1 1. 1. 0.95 0. 0. 1.51 0.
time (sec) N/A 0.043 0.016 0.048 0. 0. 1.238 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 54 0 0 80 0
normalized size 1 1. 1. 0.92 0. 0. 1.36 0.
time (sec) N/A 0.054 0.014 0.05 0. 0. 1.03 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 44 0 0 49 0
normalized size 1 1. 1. 0.9 0. 0. 1. 0.
time (sec) N/A 0.026 0.012 0.048 0. 0. 0.526 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 28 0 0 44 0
normalized size 1 1. 1. 1.04 0. 0. 1.63 0.
time (sec) N/A 0.005 0.002 0.051 0. 0. 0.633 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F F(-2) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 69 69 0 23 0 0 0 0
normalized size 1 1. 0. 0.33 0. 0. 0. 0.
time (sec) N/A 0.044 0.014 0.073 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 28 0 0 53 0
normalized size 1 1. 1. 1.04 0. 0. 1.96 0.
time (sec) N/A 0.021 0.011 0.049 0. 0. 1.134 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 43 0 0 51 0
normalized size 1 1. 1. 0.98 0. 0. 1.16 0.
time (sec) N/A 0.029 0.011 0.048 0. 0. 0.633 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 49 0 0 42 0
normalized size 1 1. 1. 0.94 0. 0. 0.81 0.
time (sec) N/A 0.064 0.015 0.047 0. 0. 0.735 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 64 0 0 110 0
normalized size 1 1. 1. 0.93 0. 0. 1.59 0.
time (sec) N/A 0.041 0.016 0.051 0. 0. 1.125 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 71 0 0 65 0
normalized size 1 1. 1. 0.92 0. 0. 0.84 0.
time (sec) N/A 0.089 0.019 0.052 0. 0. 1.992 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 74 87 0 0 56 0
normalized size 1 1. 0.79 0.93 0. 0. 0.6 0.
time (sec) N/A 0.059 0.115 0.047 0. 0. 1.528 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 84 93 0 0 44 0
normalized size 1 1. 0.82 0.91 0. 0. 0.43 0.
time (sec) N/A 0.118 0.127 0.05 0. 0. 2.123 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 85 108 0 0 185 0
normalized size 1 1. 0.71 0.91 0. 0. 1.55 0.
time (sec) N/A 0.078 0.058 0.048 0. 0. 3.706 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 96 115 0 0 76 0
normalized size 1 1. 0.76 0.91 0. 0. 0.6 0.
time (sec) N/A 0.144 0.081 0.047 0. 0. 6.865 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 424 397 0 0 0 0
normalized size 1 1. 1.42 1.33 0. 0. 0. 0.
time (sec) N/A 0.373 0.817 0.056 0. 0. 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 237 249 0 0 0 0
normalized size 1 1. 1.22 1.28 0. 0. 0. 0.
time (sec) N/A 0.205 0.466 0.054 0. 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 74 107 0 0 0 0
normalized size 1 1. 0.61 0.88 0. 0. 0. 0.
time (sec) N/A 0.113 0.236 0.053 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 90 34 0 0 0 0
normalized size 1 1. 2.43 0.92 0. 0. 0. 0.
time (sec) N/A 0.006 0.029 0.049 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.026 0.365 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 2.287 0.373 0. 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 166 187 0 0 0 0
normalized size 1 1. 0.73 0.82 0. 0. 0. 0.
time (sec) N/A 0.187 0.294 0.05 0. 0. 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 116 122 0 0 0 0
normalized size 1 1. 0.78 0.82 0. 0. 0. 0.
time (sec) N/A 0.123 0.297 0.052 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 59 79 0 0 0 0
normalized size 1 1. 0.62 0.83 0. 0. 0. 0.
time (sec) N/A 0.071 0.148 0.052 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 90 34 0 0 0 0
normalized size 1 1. 2.43 0.92 0. 0. 0. 0.
time (sec) N/A 0.007 0.029 0.049 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.01 0.018 0.056 0. 0. 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 1.464 0.085 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 253 253 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.422 0.017 0.052 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 170 324 0 0 0 0
normalized size 1 1. 0.71 1.36 0. 0. 0. 0.
time (sec) N/A 0.298 0.24 0.077 0. 0. 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 265 265 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.288 0.198 0.052 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 137 209 0 0 0 0
normalized size 1 1. 0.77 1.18 0. 0. 0. 0.
time (sec) N/A 0.188 0.134 0.076 0. 0. 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 140 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.156 0.009 0.055 0. 0. 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 100 122 0 0 0 0
normalized size 1 1. 0.81 0.98 0. 0. 0. 0.
time (sec) N/A 0.105 0.088 0.075 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 144 144 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.174 0.051 0. 0. 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 49 0 0 0 0
normalized size 1 1. 1. 0.91 0. 0. 0. 0.
time (sec) N/A 0.036 0.01 0.053 0. 0. 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.019 0.046 0. 0. 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.026 0.056 0. 0. 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.02 0.056 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 119 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 0.026 0.053 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 127 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.138 0.007 0.053 0. 0. 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 170 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.145 0.027 0.053 0. 0. 0. 0.
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 165 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.22 0.02 0.053 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 258 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.24 0.027 0.053 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 242 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.388 0.013 0.053 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 285 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.342 0.027 0.052 0. 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 495 495 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.396 0.649 0.227 0. 0. 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 279 279 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.185 0.548 0.054 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 66 60 0 0 0 0
normalized size 1 1. 0.96 0.87 0. 0. 0. 0.
time (sec) N/A 0.151 0.01 0.054 0. 0. 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.035 0.357 0. 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.08 0.347 0. 0. 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 231 231 318 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.522 6.775 0.523 0. 0. 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 318 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 0.408 6.65 0.539 0. 0. 0. 0.
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 315 0 0 0 0 0
normalized size 1 1. 1.47 0. 0. 0. 0. 0.
time (sec) N/A 0.263 6.632 0.523 0. 0. 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 165 81 0 0 0 0
normalized size 1 1. 2.5 1.23 0. 0. 0. 0.
time (sec) N/A 0.04 0.095 0.069 0. 0. 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 194 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.493 3.93 0.523 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 199 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.493 4.006 0.527 0. 0. 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 244 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.607 5.352 0.205 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 64 64 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 0.029 0.056 0. 0. 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 64 64 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.03 0.056 0. 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 0.044 0.056 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.039 0.061 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.015 0.009 0.044 0. 0. 1.41 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.012 0.006 0.044 0. 0. 0.441 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 0 0 10 0
normalized size 1 1. 1. 1.11 0. 0. 1.11 0.
time (sec) N/A 0.016 0.011 0.122 0. 0. 0.243 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 0 0 12 0
normalized size 1 1. 1. 1.09 0. 0. 1.09 0.
time (sec) N/A 0.015 0.006 0.044 0. 0. 0.798 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 15 0
normalized size 1 1. 1. 0.92 0. 0. 1.15 0.
time (sec) N/A 0.016 0.006 0.046 0. 0. 1.972 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 18 0 0 34 0
normalized size 1 1. 1. 1.06 0. 0. 2. 0.
time (sec) N/A 0.019 0.01 0.047 0. 0. 4.591 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 231 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.383 0.012 0.083 0. 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 154 317 0 0 0 0
normalized size 1 1. 0.72 1.47 0. 0. 0. 0.
time (sec) N/A 0.259 0.234 0.085 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 247 247 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.253 0.381 0.082 0. 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 120 202 0 0 0 0
normalized size 1 1. 0.76 1.29 0. 0. 0. 0.
time (sec) N/A 0.151 0.132 0.079 0. 0. 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 120 0 0 0 151 0
normalized size 1 1. 1. 0. 0. 0. 1.26 0.
time (sec) N/A 0.118 0.007 0.079 0. 0. 26.668 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 83 114 0 0 0 0
normalized size 1 1. 0.8 1.1 0. 0. 0. 0.
time (sec) N/A 0.078 0.085 0.076 0. 0. 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 136 136 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.209 0.079 0. 0. 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 44 45 0 0 0 0
normalized size 1 1. 0.92 0.94 0. 0. 0. 0.
time (sec) N/A 0.021 0.027 0.054 0. 0. 0. 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 0 0 10 0
normalized size 1 1. 1. 0.92 0. 0. 0.77 0.
time (sec) N/A 0.011 0.002 0.046 0. 0. 0.459 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.029 0.082 0. 0. 0. 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.031 0.059 0. 0. 0. 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.03 0.058 0. 0. 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 109 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.007 0.057 0. 0. 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 152 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.03 0.065 0. 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 147 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.03 0.057 0. 0. 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 240 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.204 0.029 0.059 0. 0. 0. 0.
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 224 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.352 0.014 0.057 0. 0. 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 267 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.304 0.031 0.061 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 262 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.495 0.033 0.06 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 0.069 0.059 0. 0. 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 308 308 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.431 0.045 0.078 0. 0. 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 163 322 0 0 0 0
normalized size 1 1. 0.75 1.48 0. 0. 0. 0.
time (sec) N/A 0.271 0.174 0.083 0. 0. 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 185 0 0 0 264 0
normalized size 1 1. 1. 0. 0. 0. 1.43 0.
time (sec) N/A 0.254 0.009 0.08 0. 0. 123.898 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 126 212 0 0 0 0
normalized size 1 1. 0.75 1.27 0. 0. 0. 0.
time (sec) N/A 0.174 0.152 0.079 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 196 196 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.037 0.078 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 90 120 0 0 0 0
normalized size 1 1. 0.83 1.1 0. 0. 0. 0.
time (sec) N/A 0.089 0.084 0.08 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 0 0 0 114 0
normalized size 1 1. 1. 0. 0. 0. 1.54 0.
time (sec) N/A 0.057 0.008 0.086 0. 0. 4.371 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 48 52 0 0 0 0
normalized size 1 1. 0.8 0.87 0. 0. 0. 0.
time (sec) N/A 0.032 0.026 0.061 0. 0. 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 80 80 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.015 0.059 0. 0. 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.032 0.084 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.005 0.059 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 93 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.033 0.059 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.032 0.06 0. 0. 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 155 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.119 0.032 0.059 0. 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 163 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.218 0.011 0.058 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 230 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.2 0.031 0.063 0. 0. 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 201 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.314 0.033 0.069 0. 0. 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 270 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.306 0.033 0.063 0. 0. 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 278 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.52 0.017 0.056 0. 0. 0. 0.

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 [140] had the largest ratio of [ 1.1 ]

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 6 4 1. 8 0.5
2 A 6 4 1. 8 0.5
3 A 5 4 1. 8 0.5
4 A 5 4 1. 8 0.5
5 A 4 4 1. 8 0.5
6 A 4 4 1. 8 0.5
7 A 3 3 1. 6 0.5
8 A 1 1 1. 4 0.25
9 A 3 3 1. 8 0.375
10 A 2 2 1. 8 0.25
11 A 3 3 1. 8 0.375
12 A 4 4 1. 8 0.5
13 A 4 4 1. 8 0.5
14 A 5 4 1. 8 0.5
15 A 5 4 1. 8 0.5
16 A 6 4 1. 8 0.5
17 A 6 4 1. 8 0.5
18 A 7 4 1. 8 0.5
19 A 14 10 1. 14 0.714
20 A 11 9 1. 14 0.643
21 A 8 7 1. 12 0.583
22 A 1 1 1. 6 0.167
23 A 0 0 0. 0 0.
24 A 0 0 0. 0 0.
25 A 14 10 1. 10 1.
26 A 11 9 1. 10 0.9
27 A 8 7 1. 8 0.875
28 A 1 1 1. 6 0.167
29 A 0 0 0. 0 0.
30 A 0 0 0. 0 0.
31 A 23 10 1. 10 1.
32 A 19 10 1. 10 1.
33 A 16 9 1. 10 0.9
34 A 12 9 1. 10 0.9
35 A 10 9 1. 10 0.9
36 A 8 6 1. 10 0.6
37 A 5 5 1. 8 0.625
38 A 4 4 1. 6 0.667
39 A 0 0 0. 0 0.
40 A 0 0 0. 0 0.
41 A 0 0 0. 0 0.
42 A 0 0 0. 0 0.
43 A 9 9 1. 10 0.9
44 A 0 0 0. 0 0.
45 A 0 0 0. 0 0.
46 A 0 0 0. 0 0.
47 A 20 10 1. 10 1.
48 A 0 0 0. 0 0.
49 A 18 13 1. 16 0.812
50 A 10 9 1. 14 0.643
51 A 4 3 1. 8 0.375
52 A 0 0 0. 0 0.
53 A 0 0 0. 0 0.
54 A 14 9 1. 17 0.529
55 A 14 9 1. 15 0.6
56 A 14 9 1. 13 0.692
57 A 3 1 1. 17 0.059
58 A 14 9 1. 17 0.529
59 A 14 9 1. 17 0.529
60 A 16 10 1. 19 0.526
61 A 4 4 1. 22 0.182
62 A 4 4 1. 22 0.182
63 A 4 4 1. 19 0.21
64 A 4 4 1. 19 0.21
65 A 2 2 1. 19 0.105
66 A 2 2 1. 17 0.118
67 A 2 2 1. 19 0.105
68 A 2 2 1. 19 0.105
69 A 2 2 1. 19 0.105
70 A 2 2 1. 19 0.105
71 A 22 9 1. 20 0.45
72 A 18 9 1. 20 0.45
73 A 15 8 1. 20 0.4
74 A 11 8 1. 20 0.4
75 A 9 8 1. 20 0.4
76 A 7 5 1. 20 0.25
77 A 4 4 1. 20 0.2
78 A 2 2 1. 18 0.111
79 A 2 2 1. 17 0.118
80 A 0 0 0. 0 0.
81 A 0 0 0. 0 0.
82 A 0 0 0. 0 0.
83 A 8 8 1. 20 0.4
84 A 0 0 0. 0 0.
85 A 0 0 0. 0 0.
86 A 0 0 0. 0 0.
87 A 19 9 1. 20 0.45
88 A 0 0 0. 0 0.
89 A 0 0 0. 0 0.
90 A 0 0 0. 0 0.
91 A 23 8 1. 20 0.4
92 A 18 8 1. 20 0.4
93 A 16 9 1. 20 0.45
94 A 13 9 1. 20 0.45
95 A 10 8 1. 20 0.4
96 A 7 6 1. 20 0.3
97 A 5 5 1. 20 0.25
98 A 4 3 1. 18 0.167
99 A 1 1 1. 17 0.059
100 A 0 0 0. 0 0.
101 A 4 4 1. 20 0.2
102 A 0 0 0. 0 0.
103 A 0 0 0. 0 0.
104 A 0 0 0. 0 0.
105 A 13 9 1. 20 0.45
106 A 0 0 0. 0 0.
107 A 0 0 0. 0 0.
108 A 0 0 0. 0 0.
109 A 26 9 1. 20 0.45
110 A 6 4 1. 8 0.5
111 A 6 4 1. 8 0.5
112 A 5 4 1. 8 0.5
113 A 5 4 1. 8 0.5
114 A 4 4 1. 8 0.5
115 A 4 4 1. 8 0.5
116 A 3 3 1. 6 0.5
117 A 1 1 1. 4 0.25
118 A 3 3 1. 8 0.375
119 A 2 2 1. 8 0.25
120 A 3 3 1. 8 0.375
121 A 4 4 1. 8 0.5
122 A 4 4 1. 8 0.5
123 A 5 4 1. 8 0.5
124 A 5 4 1. 8 0.5
125 A 6 4 1. 8 0.5
126 A 6 4 1. 8 0.5
127 A 7 4 1. 8 0.5
128 A 14 10 1. 14 0.714
129 A 11 9 1. 14 0.643
130 A 8 7 1. 12 0.583
131 A 1 1 1. 6 0.167
132 A 0 0 0. 0 0.
133 A 0 0 0. 0 0.
134 A 14 10 1. 10 1.
135 A 11 9 1. 10 0.9
136 A 8 7 1. 8 0.875
137 A 1 1 1. 6 0.167
138 A 0 0 0. 0 0.
139 A 0 0 0. 0 0.
140 A 23 11 1. 10 1.1
141 A 19 10 1. 10 1.
142 A 16 10 1. 10 1.
143 A 12 9 1. 10 0.9
144 A 10 10 1. 10 1.
145 A 8 6 1. 10 0.6
146 A 5 5 1. 8 0.625
147 A 4 4 1. 6 0.667
148 A 0 0 0. 0 0.
149 A 0 0 0. 0 0.
150 A 0 0 0. 0 0.
151 A 0 0 0. 0 0.
152 A 9 9 1. 10 0.9
153 A 0 0 0. 0 0.
154 A 0 0 0. 0 0.
155 A 0 0 0. 0 0.
156 A 20 10 1. 10 1.
157 A 0 0 0. 0 0.
158 A 18 13 1. 16 0.812
159 A 10 9 1. 14 0.643
160 A 4 3 1. 8 0.375
161 A 0 0 0. 0 0.
162 A 0 0 0. 0 0.
163 A 14 9 1. 17 0.529
164 A 14 9 1. 15 0.6
165 A 14 9 1. 13 0.692
166 A 3 1 1. 17 0.059
167 A 14 9 1. 17 0.529
168 A 14 9 1. 17 0.529
169 A 16 10 1. 19 0.526
170 A 4 4 1. 22 0.182
171 A 4 4 1. 22 0.182
172 A 4 4 1. 19 0.21
173 A 4 4 1. 19 0.21
174 A 2 2 1. 19 0.105
175 A 2 2 1. 17 0.118
176 A 2 2 1. 19 0.105
177 A 2 2 1. 19 0.105
178 A 2 2 1. 19 0.105
179 A 2 2 1. 19 0.105
180 A 22 10 1. 20 0.5
181 A 18 9 1. 20 0.45
182 A 15 9 1. 20 0.45
183 A 11 8 1. 20 0.4
184 A 9 9 1. 20 0.45
185 A 7 5 1. 20 0.25
186 A 4 4 1. 20 0.2
187 A 2 2 1. 18 0.111
188 A 2 2 1. 17 0.118
189 A 0 0 0. 0 0.
190 A 0 0 0. 0 0.
191 A 0 0 0. 0 0.
192 A 8 8 1. 20 0.4
193 A 0 0 0. 0 0.
194 A 0 0 0. 0 0.
195 A 0 0 0. 0 0.
196 A 19 9 1. 20 0.45
197 A 0 0 0. 0 0.
198 A 0 0 0. 0 0.
199 A 0 0 0. 0 0.
200 A 23 9 1. 20 0.45
201 A 18 8 1. 20 0.4
202 A 16 10 1. 20 0.5
203 A 13 9 1. 20 0.45
204 A 10 9 1. 20 0.45
205 A 7 6 1. 20 0.3
206 A 5 5 1. 20 0.25
207 A 4 3 1. 18 0.167
208 A 1 1 1. 17 0.059
209 A 0 0 0. 0 0.
210 A 4 4 1. 20 0.2
211 A 0 0 0. 0 0.
212 A 0 0 0. 0 0.
213 A 0 0 0. 0 0.
214 A 13 9 1. 20 0.45
215 A 0 0 0. 0 0.
216 A 0 0 0. 0 0.
217 A 0 0 0. 0 0.
218 A 26 9 1. 20 0.45

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