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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, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

B grade: { }

C grade: { }

F grade: { 276}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 120, 122, 124, 126, 127, 129, 131, 133, 136, 145, 146, 147, 148, 150, 151, 154, 155, 160, 161, 162, 163, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 179, 180, 181, 185, 186, 187, 188, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 228, 230, 231, 232, 249, 250, 252, 253, 254, 256, 257, 258, 259, 263, 264, 265, 266, 267, 269, 270, 271, 273, 274, 277, 278, 279, 280, 281, 283, 285, 293, 295, 297, 299, 300, 302, 304, 306 }

B grade: { 6, 32, 33, 34, 35, 36, 37, 51, 52, 53, 54, 55, 56, 70, 71, 72, 73, 140, 141, 142, 143, 144, 149, 156, 157, 158, 159, 164, 178, 182, 183, 184, 189, 190, 191, 192, 193, 194, 195, 229, 260, 261, 262, 268, 272, 275, 276 }

C grade: { 14, 15, 16, 17, 18, 114, 115, 116, 117, 118, 119, 121, 123, 125, 128, 130, 132, 152, 153, 171, 172, 173, 226, 227, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 251, 255, 282, 284, 286, 287, 288, 289, 290, 291, 292, 294, 296, 298, 301, 303, 305 }

F grade: { 134, 135, 137, 138, 139}

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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 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, 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, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 219, 220, 221, 222, 223, 224, 225, 226, 227, 231, 232, 239, 245, 246, 247, 248, 249, 253, 263, 264, 265, 266, 267, 273, 274, 277, 278, 279, 280 }

B grade: { 55, 56, 65, 66, 67, 68, 84, 100, 203, 204, 205, 216, 217, 218, 228, 229, 230, 233, 234, 235, 236, 237, 238, 240, 241, 242, 243, 244, 250, 251, 252, 254, 255, 256 }

C grade: { 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

F grade: { 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, 257, 258, 259, 260, 261, 262, 268, 269, 270, 271, 272, 275, 276 }

2.1.4 Maxima

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, 69, 70, 74, 75, 76, 77, 78, 79, 80, 81, 82, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 107, 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, 209, 210, 211, 212, 213, 214, 221, 222, 223, 224, 225, 226, 263, 264, 265, 266, 267, 273, 274, 277, 278, 279, 280

B grade: { 65, 66, 67, 68, 71, 72, 73, 83, 84, 85, 86, 100, 101, 102, 215, 227 }

C grade: { }

F grade: { 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, 203, 204, 205, 206, 207, 208, 216, 217, 218, 219, 220, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 268, 269, 270, 271, 272, 275, 276, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 106, 107, 160, 161, 162, 163, 164, 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, 203, 204, 205, 206, 207, 209, 210, 211, 212, 213, 216, 217, 218, 219, 220, 221, 222, 223, 224, 228, 229, 230, 231, 232, 263, 264, 265, 266, 267, 273, 274, 277, 278, 279, 280 }

B grade: { 9, 16, 17, 18, 28, 37, 46, 47, 64, 71, 72, 73, 82, 97, 98, 99, 165, 166, 167, 202, 208, 214, 215, 225, 226, 227 }

C grade: { }

F grade: { 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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 268, 269, 270, 271, 272, 275, 276, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

2.1.6 Sympy

A grade: { 265, 279 }

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, 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, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

2.1.7 Giac

A grade: { 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 41, 42, 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, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 162, 163, 168, 175, 176, 177, 180, 186, 187, 191, 193, 194, 195, 198, 199, 200, 201, 206, 211, 212, 216, 217, 218, 219, 220, 223, 224, 229, 231, 232, 263, 264, 265, 266, 267, 273, 274, 277, 278, 279, 280 }

B grade: { 1, 2, 3, 19, 20, 21, 24, 38, 40, 43, 44, 76, 77, 81, 93, 160, 161, 164, 165, 166, 167, 169, 170, 171, 172, 173, 174, 178, 179, 181, 182, 183, 184, 185, 188, 189, 190, 192, 196, 197, 202, 203, 204, 205, 207, 208, 209, 210, 213, 214, 215, 221, 222, 225, 226, 227, 228, 230 }

C grade: { }

F grade: { 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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 268, 269, 270, 271, 272, 275, 276, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306 }

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 A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 106 163 153 339 0 396
normalized size 1 1. 0.7 1.07 1.01 2.23 0. 2.61
time (sec) N/A 0.107 0.21 0.092 1.103 1.891 0. 1.495
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 86 129 123 261 0 333
normalized size 1 1. 0.72 1.08 1.03 2.19 0. 2.8
time (sec) N/A 0.097 0.131 0.088 1.068 1.833 0. 1.506
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 83 95 93 193 0 271
normalized size 1 1. 0.95 1.09 1.07 2.22 0. 3.11
time (sec) N/A 0.087 0.084 0.086 1.109 1.799 0. 1.425
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 61 63 126 0 89
normalized size 1 1. 0.98 1.05 1.09 2.17 0. 1.53
time (sec) N/A 0.077 0.046 0.084 1.125 1.823 0. 1.428
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 37 28 31 59 0 43
normalized size 1 1. 1.42 1.08 1.19 2.27 0. 1.65
time (sec) N/A 0.031 0.019 0.02 1.139 1.763 0. 1.461
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 63 15 35 81 0 78
normalized size 1 1. 2.1 0.5 1.17 2.7 0. 2.6
time (sec) N/A 0.058 0.036 0.033 1.032 1.687 0. 1.448
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 114 48 70 246 0 138
normalized size 1 1. 1.56 0.66 0.96 3.37 0. 1.89
time (sec) N/A 0.095 0.821 0.057 1.093 1.8 0. 1.474
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 164 80 128 512 0 201
normalized size 1 1. 1.39 0.68 1.08 4.34 0. 1.7
time (sec) N/A 0.12 0.337 0.068 1.076 1.765 0. 1.468
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 165 112 184 802 0 265
normalized size 1 1. 1.01 0.69 1.13 4.92 0. 1.63
time (sec) N/A 0.15 0.398 0.083 1.048 1.856 0. 1.675
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 106 164 171 378 0 235
normalized size 1 1. 0.64 0.99 1.04 2.29 0. 1.42
time (sec) N/A 0.146 0.33 0.094 0.99 1.906 0. 1.512
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 86 130 143 290 0 197
normalized size 1 1. 0.68 1.02 1.13 2.28 0. 1.55
time (sec) N/A 0.128 0.185 0.085 0.999 1.878 0. 1.484
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 86 96 109 217 0 159
normalized size 1 1. 0.97 1.08 1.22 2.44 0. 1.79
time (sec) N/A 0.111 0.116 0.089 1.012 1.83 0. 1.482
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 54 62 80 143 0 119
normalized size 1 1. 1.06 1.22 1.57 2.8 0. 2.33
time (sec) N/A 0.082 0.052 0.031 0.99 1.739 0. 1.494
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 41 47 68 170 0 68
normalized size 1 1. 1.11 1.27 1.84 4.59 0. 1.84
time (sec) N/A 0.093 0.029 0.082 1.016 1.7 0. 1.532
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 81 103 282 0 107
normalized size 1 1. 1. 1.17 1.49 4.09 0. 1.55
time (sec) N/A 0.103 0.029 0.104 1.007 1.713 0. 1.633
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 91 115 130 504 0 144
normalized size 1 1. 0.9 1.14 1.29 4.99 0. 1.43
time (sec) N/A 0.11 0.031 0.141 0.982 1.779 0. 1.769
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 113 149 157 745 0 184
normalized size 1 1. 0.86 1.14 1.2 5.69 0. 1.4
time (sec) N/A 0.117 0.048 0.122 1.026 1.812 0. 2.067
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 135 183 184 987 0 221
normalized size 1 1. 0.82 1.11 1.12 5.98 0. 1.34
time (sec) N/A 0.127 0.055 0.126 0.998 1.865 0. 1.921
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 127 206 197 487 0 500
normalized size 1 1. 0.69 1.13 1.08 2.66 0. 2.73
time (sec) N/A 0.188 0.826 0.046 1.003 1.944 0. 1.63
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 107 168 144 342 0 432
normalized size 1 1. 0.82 1.28 1.1 2.61 0. 3.3
time (sec) N/A 0.168 0.534 0.044 1.027 1.896 0. 1.423
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 87 130 127 301 0 365
normalized size 1 1. 0.78 1.16 1.13 2.69 0. 3.26
time (sec) N/A 0.158 0.288 0.043 1.008 1.788 0. 1.489
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 65 92 76 186 0 100
normalized size 1 1. 1.05 1.48 1.23 3. 0. 1.61
time (sec) N/A 0.124 0.197 0.04 0.994 1.777 0. 1.402
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 31 46 55 116 0 69
normalized size 1 1. 0.72 1.07 1.28 2.7 0. 1.6
time (sec) N/A 0.077 0.112 0.02 1.006 1.76 0. 1.383
Problem 24 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 48 48 36 32 58 155 0 155
normalized size 1 1. 0.75 0.67 1.21 3.23 0. 3.23
time (sec) N/A 0.115 0.076 0.035 0.976 1.743 0. 1.394
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 75 50 92 270 0 182
normalized size 1 1. 1.09 0.72 1.33 3.91 0. 2.64
time (sec) N/A 0.144 0.542 0.059 1.003 1.744 0. 1.398
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 103 85 140 531 0 258
normalized size 1 1. 0.9 0.74 1.22 4.62 0. 2.24
time (sec) N/A 0.171 1.513 0.072 1.023 1.831 0. 1.524
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 136 121 193 722 0 321
normalized size 1 1. 0.85 0.76 1.21 4.51 0. 2.01
time (sec) N/A 0.199 1.284 0.069 0.989 1.83 0. 1.452
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 164 157 266 1152 0 393
normalized size 1 1. 0.8 0.77 1.3 5.62 0. 1.92
time (sec) N/A 0.238 3.254 0.083 1.015 1.921 0. 1.482
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 144 210 290 522 0 304
normalized size 1 1. 0.72 1.06 1.46 2.62 0. 1.53
time (sec) N/A 0.361 0.883 0.049 1.539 1.955 0. 1.419
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 124 172 235 423 0 261
normalized size 1 1. 0.79 1.1 1.5 2.69 0. 1.66
time (sec) N/A 0.27 0.547 0.043 1.548 1.971 0. 1.424
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 94 134 170 344 0 217
normalized size 1 1. 0.82 1.17 1.48 2.99 0. 1.89
time (sec) N/A 0.268 0.279 0.041 1.506 1.884 0. 1.378
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 243 86 109 267 0 173
normalized size 1 1. 3.33 1.18 1.49 3.66 0. 2.37
time (sec) N/A 0.132 1.192 0.034 1.482 1.764 0. 1.444
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 401 77 100 257 0 122
normalized size 1 1. 7.04 1.35 1.75 4.51 0. 2.14
time (sec) N/A 0.246 6.154 0.045 1.001 1.746 0. 1.436
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 228 140 153 396 0 140
normalized size 1 1. 2.62 1.61 1.76 4.55 0. 1.61
time (sec) N/A 0.297 1.671 0.059 1.008 1.677 0. 1.494
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 129 129 317 202 194 525 0 184
normalized size 1 1. 2.46 1.57 1.5 4.07 0. 1.43
time (sec) N/A 0.226 0.945 0.061 1.034 1.735 0. 1.478
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 428 264 236 694 0 227
normalized size 1 1. 2.63 1.62 1.45 4.26 0. 1.39
time (sec) N/A 0.243 1.231 0.086 1.038 1.875 0. 1.422
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 1050 326 275 1026 0 270
normalized size 1 1. 5.22 1.62 1.37 5.1 0. 1.34
time (sec) N/A 0.258 6.831 0.081 1.028 1.948 0. 1.384
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 148 230 213 539 0 535
normalized size 1 1. 0.73 1.13 1.05 2.66 0. 2.64
time (sec) N/A 0.196 1.697 0.05 0.997 2.21 0. 1.429
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 106 130 144 316 0 323
normalized size 1 1. 0.81 0.99 1.1 2.41 0. 2.47
time (sec) N/A 0.168 0.921 0.049 1.008 1.865 0. 1.318
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 108 155 143 346 0 401
normalized size 1 1. 0.81 1.16 1.07 2.58 0. 2.99
time (sec) N/A 0.167 0.628 0.047 1.012 1.83 0. 1.298
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 86 109 108 259 0 138
normalized size 1 1. 0.88 1.11 1.1 2.64 0. 1.41
time (sec) N/A 0.096 0.195 0.045 1.01 1.853 0. 1.312
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 65 63 74 158 0 86
normalized size 1 1. 1.05 1.02 1.19 2.55 0. 1.39
time (sec) N/A 0.091 0.229 0.021 0.986 1.847 0. 1.295
Problem 43 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 67 67 81 49 76 197 0 192
normalized size 1 1. 1.21 0.73 1.13 2.94 0. 2.87
time (sec) N/A 0.125 0.131 0.045 0.986 1.796 0. 1.273
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 67 113 319 0 255
normalized size 1 1. 1. 0.76 1.28 3.62 0. 2.9
time (sec) N/A 0.156 0.861 0.074 1. 1.74 0. 1.375
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 100 85 139 441 0 251
normalized size 1 1. 0.9 0.77 1.25 3.97 0. 2.26
time (sec) N/A 0.169 0.918 0.085 1.003 1.733 0. 1.418
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 129 120 196 740 0 328
normalized size 1 1. 0.82 0.76 1.25 4.71 0. 2.09
time (sec) N/A 0.195 1.015 0.089 1.004 1.879 0. 1.306
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 159 156 255 1064 0 394
normalized size 1 1. 0.79 0.77 1.26 5.27 0. 1.95
time (sec) N/A 0.231 1.194 0.088 1.014 1.851 0. 1.374
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 156 235 393 567 0 329
normalized size 1 1. 0.74 1.12 1.87 2.7 0. 1.57
time (sec) N/A 0.389 2.017 0.051 1.802 2.049 0. 1.266
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 136 197 324 467 0 286
normalized size 1 1. 0.75 1.08 1.78 2.57 0. 1.57
time (sec) N/A 0.274 0.869 0.049 1.534 1.978 0. 1.284
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 114 159 246 381 0 243
normalized size 1 1. 0.83 1.15 1.78 2.76 0. 1.76
time (sec) N/A 0.228 0.451 0.044 1.521 1.908 0. 1.317
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 300 111 171 313 0 138
normalized size 1 1. 3.06 1.13 1.74 3.19 0. 1.41
time (sec) N/A 0.183 2.495 0.038 1.512 1.839 0. 1.288
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 244 102 185 313 0 143
normalized size 1 1. 3.05 1.27 2.31 3.91 0. 1.79
time (sec) N/A 0.194 1.065 0.049 1.021 1.784 0. 1.303
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 678 188 254 444 0 166
normalized size 1 1. 6.16 1.71 2.31 4.04 0. 1.51
time (sec) N/A 0.23 6.234 0.074 1.025 1.73 0. 1.36
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 353 274 308 575 0 190
normalized size 1 1. 2.14 1.66 1.87 3.48 0. 1.15
time (sec) N/A 0.436 1.155 0.074 1.047 1.767 0. 1.383
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 430 360 362 698 0 228
normalized size 1 1. 2.24 1.88 1.89 3.64 0. 1.19
time (sec) N/A 0.314 1.182 0.076 1.016 1.808 0. 1.396
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 232 232 1000 446 416 973 0 273
normalized size 1 1. 4.31 1.92 1.79 4.19 0. 1.18
time (sec) N/A 0.332 6.68 0.086 1.028 1.921 0. 1.418
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 62 89 120 254 0 190
normalized size 1 1. 0.68 0.98 1.32 2.79 0. 2.09
time (sec) N/A 0.161 4.234 0.098 0.989 1.743 0. 1.306
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 52 70 93 182 0 161
normalized size 1 1. 0.71 0.96 1.27 2.49 0. 2.21
time (sec) N/A 0.155 1.556 0.085 1.017 1.718 0. 1.236
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 42 49 66 126 0 131
normalized size 1 1. 0.76 0.89 1.2 2.29 0. 2.38
time (sec) N/A 0.148 0.334 0.072 0.995 1.667 0. 1.204
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 32 30 39 66 0 43
normalized size 1 1. 0.86 0.81 1.05 1.78 0. 1.16
time (sec) N/A 0.126 0.111 0.056 0.992 1.662 0. 1.224
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 28 49 41 72 0 46
normalized size 1 1. 0.9 1.58 1.32 2.32 0. 1.48
time (sec) N/A 0.071 0.08 0.023 1.008 1.71 0. 1.259
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 67 54 63 181 0 76
normalized size 1 1. 1.16 0.93 1.09 3.12 0. 1.31
time (sec) N/A 0.097 0.096 0.051 1.01 1.662 0. 1.326
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 91 72 116 378 0 174
normalized size 1 1. 1.11 0.88 1.41 4.61 0. 2.12
time (sec) N/A 0.158 0.369 0.06 1.022 1.709 0. 1.299
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 122 108 176 603 0 246
normalized size 1 1. 1.15 1.02 1.66 5.69 0. 2.32
time (sec) N/A 0.173 0.474 0.067 1.019 1.785 0. 1.384
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 132 290 486 261 0 188
normalized size 1 1. 1.06 2.32 3.89 2.09 0. 1.5
time (sec) N/A 0.21 1.195 0.099 1.525 1.791 0. 1.31
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 112 222 375 190 0 153
normalized size 1 1. 1.13 2.24 3.79 1.92 0. 1.55
time (sec) N/A 0.177 0.695 0.08 1.51 1.701 0. 1.309
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 83 154 265 128 0 117
normalized size 1 1. 1.14 2.11 3.63 1.75 0. 1.6
time (sec) N/A 0.15 0.579 0.072 1.504 1.674 0. 1.309
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 68 85 151 70 0 78
normalized size 1 1. 1.55 1.93 3.43 1.59 0. 1.77
time (sec) N/A 0.109 0.268 0.065 1.52 1.678 0. 1.336
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 66 36 66 111 0 50
normalized size 1 1. 1.78 0.97 1.78 3. 0. 1.35
time (sec) N/A 0.126 0.21 0.049 0.996 1.555 0. 1.308
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 116 62 130 225 0 100
normalized size 1 1. 2.11 1.13 2.36 4.09 0. 1.82
time (sec) N/A 0.143 0.5 0.057 0.978 1.672 0. 1.329
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 158 88 184 347 0 139
normalized size 1 1. 2.16 1.21 2.52 4.75 0. 1.9
time (sec) N/A 0.147 0.618 0.062 0.997 1.673 0. 1.312
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 200 114 238 466 0 178
normalized size 1 1. 2.2 1.25 2.62 5.12 0. 1.96
time (sec) N/A 0.151 0.98 0.065 1.003 1.792 0. 1.284
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 242 140 292 602 0 217
normalized size 1 1. 2.22 1.28 2.68 5.52 0. 1.99
time (sec) N/A 0.155 1.468 0.065 1.03 1.719 0. 1.338
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 72 88 120 254 0 250
normalized size 1 1. 0.53 0.64 0.88 1.85 0. 1.82
time (sec) N/A 0.186 4.825 0.112 1.016 1.81 0. 1.341
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 62 79 107 221 0 190
normalized size 1 1. 0.54 0.69 0.94 1.94 0. 1.67
time (sec) N/A 0.18 3.449 0.102 1.025 1.736 0. 1.315
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 53 50 66 126 0 190
normalized size 1 1. 0.73 0.68 0.9 1.73 0. 2.6
time (sec) N/A 0.159 1.769 0.086 0.99 1.772 0. 1.343
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 42 39 53 100 0 161
normalized size 1 1. 0.76 0.71 0.96 1.82 0. 2.93
time (sec) N/A 0.154 0.571 0.069 0.979 1.68 0. 1.32
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 51 82 69 132 0 101
normalized size 1 1. 0.77 1.24 1.05 2. 0. 1.53
time (sec) N/A 0.163 0.205 0.083 1.009 1.76 0. 1.33
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 64 68 62 159 0 70
normalized size 1 1. 1.23 1.31 1.19 3.06 0. 1.35
time (sec) N/A 0.102 0.185 0.026 1.006 1.726 0. 1.302
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 83 72 100 294 0 117
normalized size 1 1. 1.38 1.2 1.67 4.9 0. 1.95
time (sec) N/A 0.127 0.175 0.06 1.005 1.703 0. 1.304
Problem 81 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 42 42 38 57 80 142 0 111
normalized size 1 1. 0.9 1.36 1.9 3.38 0. 2.64
time (sec) N/A 0.127 0.089 0.066 0.979 1.649 0. 1.333
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 152 144 225 734 0 279
normalized size 1 1. 1.04 0.99 1.54 5.03 0. 1.91
time (sec) N/A 0.217 0.746 0.072 1.029 1.738 0. 1.364
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 131 290 510 270 0 188
normalized size 1 1. 0.78 1.74 3.05 1.62 0. 1.13
time (sec) N/A 0.44 2.755 0.102 1.531 1.749 0. 1.333
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 111 222 394 192 0 153
normalized size 1 1. 1.07 2.13 3.79 1.85 0. 1.47
time (sec) N/A 0.311 0.869 0.086 1.546 1.721 0. 1.3
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 91 154 278 135 0 117
normalized size 1 1. 1.05 1.77 3.2 1.55 0. 1.34
time (sec) N/A 0.233 0.544 0.089 1.523 1.726 0. 1.362
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 121 103 189 158 0 101
normalized size 1 1. 1.75 1.49 2.74 2.29 0. 1.46
time (sec) N/A 0.316 0.321 0.086 1.539 1.703 0. 1.325
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 105 60 122 180 0 100
normalized size 1 1. 1.44 0.82 1.67 2.47 0. 1.37
time (sec) N/A 0.2 0.426 0.058 1.013 1.609 0. 1.295
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 149 86 181 267 0 142
normalized size 1 1. 1.64 0.95 1.99 2.93 0. 1.56
time (sec) N/A 0.345 0.649 0.066 1.002 1.667 0. 1.239
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 191 112 235 423 0 181
normalized size 1 1. 1.75 1.03 2.16 3.88 0. 1.66
time (sec) N/A 0.351 0.973 0.07 0.997 1.738 0. 1.382
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 233 112 235 521 0 181
normalized size 1 1. 1.86 0.9 1.88 4.17 0. 1.45
time (sec) N/A 0.367 1.41 0.078 1.007 1.851 0. 1.395
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 120 90 120 267 0 279
normalized size 1 1. 0.86 0.65 0.86 1.92 0. 2.01
time (sec) N/A 0.195 4.27 0.12 0.998 1.809 0. 1.382
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 100 69 93 194 0 250
normalized size 1 1. 0.92 0.63 0.85 1.78 0. 2.29
time (sec) N/A 0.179 2.864 0.104 0.986 1.756 0. 1.342
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 80 50 66 128 0 220
normalized size 1 1. 1.1 0.68 0.9 1.75 0. 3.01
time (sec) N/A 0.165 1.666 0.087 0.985 1.756 0. 1.389
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 73 114 99 201 0 232
normalized size 1 1. 0.72 1.12 0.97 1.97 0. 2.27
time (sec) N/A 0.182 1.017 0.108 1.012 1.726 0. 1.382
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 99 100 97 228 0 127
normalized size 1 1. 1.11 1.12 1.09 2.56 0. 1.43
time (sec) N/A 0.184 0.412 0.097 0.977 1.771 0. 1.299
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 103 86 96 255 0 85
normalized size 1 1. 1.37 1.15 1.28 3.4 0. 1.13
time (sec) N/A 0.117 0.323 0.029 1.024 1.734 0. 1.345
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 97 90 132 416 0 153
normalized size 1 1. 1.18 1.1 1.61 5.07 0. 1.87
time (sec) N/A 0.151 0.326 0.066 1.007 1.755 0. 1.344
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 138 126 197 640 0 246
normalized size 1 1. 1.1 1. 1.56 5.08 0. 1.95
time (sec) N/A 0.134 0.577 0.079 1.002 1.779 0. 1.345
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 137 126 254 857 0 313
normalized size 1 1. 1.07 0.98 1.98 6.7 0. 2.45
time (sec) N/A 0.206 5.17 0.081 1.013 1.862 0. 1.402
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 131 290 510 274 0 188
normalized size 1 1. 0.83 1.85 3.25 1.75 0. 1.2
time (sec) N/A 0.461 4.532 0.105 1.538 1.803 0. 1.282
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 111 222 394 201 0 153
normalized size 1 1. 0.86 1.72 3.05 1.56 0. 1.19
time (sec) N/A 0.291 1.837 0.113 1.536 1.763 0. 1.346
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 173 171 306 217 0 136
normalized size 1 1. 1.6 1.58 2.83 2.01 0. 1.26
time (sec) N/A 0.318 0.646 0.107 1.52 1.701 0. 1.359
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 177 122 221 259 0 130
normalized size 1 1. 1.82 1.26 2.28 2.67 0. 1.34
time (sec) N/A 0.31 0.417 0.092 1.797 1.817 0. 1.306
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 137 60 122 240 0 99
normalized size 1 1. 1.54 0.67 1.37 2.7 0. 1.11
time (sec) N/A 0.367 0.564 0.066 1.036 1.836 0. 1.312
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 175 60 124 359 0 99
normalized size 1 1. 1.7 0.58 1.2 3.49 0. 0.96
time (sec) N/A 0.379 0.714 0.074 1.124 1.892 0. 1.287
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 223 112 235 495 0 181
normalized size 1 1. 1.76 0.88 1.85 3.9 0. 1.43
time (sec) N/A 0.408 1.216 0.079 1.13 1.989 0. 1.317
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 265 138 289 567 0 220
normalized size 1 1. 1.83 0.95 1.99 3.91 0. 1.52
time (sec) N/A 0.419 1.761 0.083 1.155 2.059 0. 1.358
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 106 290 0 0 0 0
normalized size 1 1. 0.68 1.85 0. 0. 0. 0.
time (sec) N/A 0.201 0.302 1.403 0. 0. 0. 0.
Problem 109 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 154 154 170 210 0 0 0 0
normalized size 1 1. 1.1 1.36 0. 0. 0. 0.
time (sec) N/A 0.2 0.574 1.127 0. 0. 0. 0.
Problem 110 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 69 198 0 0 0 0
normalized size 1 1. 0.66 1.9 0. 0. 0. 0.
time (sec) N/A 0.15 0.109 1.14 0. 0. 0. 0.
Problem 111 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 103 103 201 122 0 0 0 0
normalized size 1 1. 1.95 1.18 0. 0. 0. 0.
time (sec) N/A 0.152 3.206 0.998 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 143 247 0 0 0 0
normalized size 1 1. 0.92 1.59 0. 0. 0. 0.
time (sec) N/A 0.199 0.363 1.326 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 120 212 0 0 0 0
normalized size 1 1. 0.75 1.32 0. 0. 0. 0.
time (sec) N/A 0.201 0.348 1.561 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 205 265 0 0 0 0
normalized size 1 1. 1.06 1.37 0. 0. 0. 0.
time (sec) N/A 0.382 16.617 2.388 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 192 192 204 201 0 0 0 0
normalized size 1 1. 1.06 1.05 0. 0. 0. 0.
time (sec) N/A 0.38 14.674 2.076 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 168 219 0 0 0 0
normalized size 1 1. 1.22 1.59 0. 0. 0. 0.
time (sec) N/A 0.307 1.937 2.126 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 164 163 0 0 0 0
normalized size 1 1. 1.18 1.17 0. 0. 0. 0.
time (sec) N/A 0.307 64.341 2.059 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 224 224 135 238 0 0 0 0
normalized size 1 1. 0.6 1.06 0. 0. 0. 0.
time (sec) N/A 0.424 10.616 2.436 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 234 234 169 301 0 0 0 0
normalized size 1 1. 0.72 1.29 0. 0. 0. 0.
time (sec) N/A 0.419 46.669 2.245 0. 0. 0. 0.
Problem 120 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 139 139 122 128 0 0 0 0
normalized size 1 1. 0.88 0.92 0. 0. 0. 0.
time (sec) N/A 0.28 0.678 1.288 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 232 173 0 0 0 0
normalized size 1 1. 2.23 1.66 0. 0. 0. 0.
time (sec) N/A 0.22 4.718 1.322 0. 0. 0. 0.
Problem 122 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 102 102 69 112 0 0 0 0
normalized size 1 1. 0.68 1.1 0. 0. 0. 0.
time (sec) N/A 0.222 19.829 1.348 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 249 149 0 0 0 0
normalized size 1 1. 2.62 1.57 0. 0. 0. 0.
time (sec) N/A 0.208 0.588 1.421 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 77 121 0 0 0 0
normalized size 1 1. 0.76 1.2 0. 0. 0. 0.
time (sec) N/A 0.211 0.528 1.324 0. 0. 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 124 187 0 0 0 0
normalized size 1 1. 0.92 1.39 0. 0. 0. 0.
time (sec) N/A 0.248 1.064 1.458 0. 0. 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 91 136 0 0 0 0
normalized size 1 1. 0.67 1.01 0. 0. 0. 0.
time (sec) N/A 0.25 1.253 1.51 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 94 145 0 0 0 0
normalized size 1 1. 0.58 0.9 0. 0. 0. 0.
time (sec) N/A 0.551 1.557 1.74 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 249 173 0 0 0 0
normalized size 1 1. 1.33 0.93 0. 0. 0. 0.
time (sec) N/A 0.596 3.088 1.766 0. 0. 0. 0.
Problem 129 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 189 189 119 153 0 0 0 0
normalized size 1 1. 0.63 0.81 0. 0. 0. 0.
time (sec) N/A 0.594 1.834 1.671 0. 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 222 205 0 0 0 0
normalized size 1 1. 1.18 1.09 0. 0. 0. 0.
time (sec) N/A 0.59 1.327 1.688 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 82 148 0 0 0 0
normalized size 1 1. 0.43 0.78 0. 0. 0. 0.
time (sec) N/A 0.591 1.374 1.707 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 163 213 0 0 0 0
normalized size 1 1. 0.73 0.95 0. 0. 0. 0.
time (sec) N/A 0.664 1.421 1.753 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 113 160 0 0 0 0
normalized size 1 1. 0.5 0.71 0. 0. 0. 0.
time (sec) N/A 0.67 0.961 1.817 0. 0. 0. 0.
Problem 134 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 0.353 2.155 0.942 0. 0. 0. 0.
Problem 135 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 195 195 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.285 0.932 0.79 0. 0. 0. 0.
Problem 136 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 119 119 97 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.143 0.145 0.651 0. 0. 0. 0.
Problem 137 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 100 100 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.199 29.822 0.619 0. 0. 0. 0.
Problem 138 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 207 207 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.526 0.674 0.364 0. 0. 0. 0.
Problem 139 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 236 236 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.635 1.211 0.409 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 106 106 1243 0 0 0 0 0
normalized size 1 1. 11.73 0. 0. 0. 0. 0.
time (sec) N/A 0.375 9.71 0.191 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 433 0 0 0 0 0
normalized size 1 1. 4.05 0. 0. 0. 0. 0.
time (sec) N/A 0.314 2.819 0.211 0. 0. 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 277 0 0 0 0 0
normalized size 1 1. 2.41 0. 0. 0. 0. 0.
time (sec) N/A 0.325 2.037 0.208 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 484 0 0 0 0 0
normalized size 1 1. 4.03 0. 0. 0. 0. 0.
time (sec) N/A 0.374 2.863 0.175 0. 0. 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 276 0 0 0 0 0
normalized size 1 1. 2.12 0. 0. 0. 0. 0.
time (sec) N/A 0.277 1.846 0.728 0. 0. 0. 0.
Problem 145 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 180 180 113 0 0 0 0 0
normalized size 1 1. 0.63 0. 0. 0. 0. 0.
time (sec) N/A 0.169 1.524 0.701 0. 0. 0. 0.
Problem 146 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 123 123 84 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.108 0.498 0.658 0. 0. 0. 0.
Problem 147 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 83 83 67 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.138 0.581 0. 0. 0. 0.
Problem 148 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 42 42 42 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.037 0.337 0. 0. 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 40 40 92 0 0 0 0 0
normalized size 1 1. 2.3 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.769 0.254 0. 0. 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 112 112 123 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.097 1.684 0.275 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 316 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 0.224 5.721 0.296 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 230 230 7069 0 0 0 0 0
normalized size 1 1. 30.73 0. 0. 0. 0. 0.
time (sec) N/A 0.668 23.103 0.66 0. 0. 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 4297 0 0 0 0 0
normalized size 1 1. 45.23 0. 0. 0. 0. 0.
time (sec) N/A 0.353 17.317 0.569 0. 0. 0. 0.
Problem 154 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 98 98 87 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.132 1.052 0.276 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 349 349 214 0 0 0 0 0
normalized size 1 1. 0.61 0. 0. 0. 0. 0.
time (sec) N/A 0.541 6.763 0.321 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 382 0 0 0 0 0
normalized size 1 1. 3.64 0. 0. 0. 0. 0.
time (sec) N/A 0.262 3.188 0.179 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 214 0 0 0 0 0
normalized size 1 1. 2.04 0. 0. 0. 0. 0.
time (sec) N/A 0.272 1.341 0.161 0. 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 212 0 0 0 0 0
normalized size 1 1. 2.02 0. 0. 0. 0. 0.
time (sec) N/A 0.25 1.012 0.166 0. 0. 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 212 0 0 0 0 0
normalized size 1 1. 2.02 0. 0. 0. 0. 0.
time (sec) N/A 0.267 1.171 0.16 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 115 129 123 261 0 428
normalized size 1 1. 0.97 1.08 1.03 2.19 0. 3.6
time (sec) N/A 0.11 0.139 0.041 0.968 1.833 0. 1.36
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 83 95 93 193 0 335
normalized size 1 1. 0.95 1.09 1.07 2.22 0. 3.85
time (sec) N/A 0.098 0.082 0.035 0.967 1.809 0. 1.379
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 61 63 126 0 89
normalized size 1 1. 0.98 1.05 1.09 2.17 0. 1.53
time (sec) N/A 0.086 0.045 0.033 0.953 1.783 0. 1.318
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 37 28 31 59 0 43
normalized size 1 1. 1.42 1.08 1.19 2.27 0. 1.65
time (sec) N/A 0.033 0.026 0.018 0.984 1.723 0. 1.294
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 63 35 61 149 0 82
normalized size 1 1. 2.42 1.35 2.35 5.73 0. 3.15
time (sec) N/A 0.073 0.035 0.033 0.953 1.726 0. 1.346
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 114 68 96 316 0 228
normalized size 1 1. 1.78 1.06 1.5 4.94 0. 3.56
time (sec) N/A 0.104 0.523 0.094 0.973 1.826 0. 1.357
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 164 102 149 529 0 359
normalized size 1 1. 1.64 1.02 1.49 5.29 0. 3.59
time (sec) N/A 0.124 0.592 0.091 0.959 1.841 0. 1.396
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 216 136 193 749 0 482
normalized size 1 1. 1.54 0.97 1.38 5.35 0. 3.44
time (sec) N/A 0.144 0.601 0.097 0.965 2.184 0. 1.422
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 118 130 143 290 0 308
normalized size 1 1. 0.93 1.02 1.13 2.28 0. 2.43
time (sec) N/A 0.128 0.209 0.039 0.986 1.989 0. 1.358
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 86 96 109 217 0 232
normalized size 1 1. 0.97 1.08 1.22 2.44 0. 2.61
time (sec) N/A 0.111 0.149 0.035 0.958 1.812 0. 1.316
Problem 170 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 51 51 54 62 80 143 0 154
normalized size 1 1. 1.06 1.22 1.57 2.8 0. 3.02
time (sec) N/A 0.083 0.059 0.033 0.947 1.804 0. 1.351
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 41 47 68 170 0 104
normalized size 1 1. 1.11 1.27 1.84 4.59 0. 2.81
time (sec) N/A 0.096 0.027 0.034 0.952 1.739 0. 1.287
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 81 103 319 0 180
normalized size 1 1. 1. 1.17 1.49 4.62 0. 2.61
time (sec) N/A 0.105 0.024 0.041 0.978 1.734 0. 1.358
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 91 115 130 473 0 262
normalized size 1 1. 0.9 1.14 1.29 4.68 0. 2.59
time (sec) N/A 0.111 0.026 0.042 0.969 1.797 0. 1.339
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 112 184 142 328 0 564
normalized size 1 1. 0.9 1.48 1.15 2.65 0. 4.55
time (sec) N/A 0.196 0.363 0.041 0.969 1.803 0. 1.397
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 72 125 96 228 0 135
normalized size 1 1. 0.9 1.56 1.2 2.85 0. 1.69
time (sec) N/A 0.145 0.176 0.039 0.962 1.812 0. 1.314
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 37 45 54 116 0 68
normalized size 1 1. 0.88 1.07 1.29 2.76 0. 1.62
time (sec) N/A 0.078 0.057 0.022 0.941 1.752 0. 1.287
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 91 77 99 267 0 167
normalized size 1 1. 1.23 1.04 1.34 3.61 0. 2.26
time (sec) N/A 0.18 0.151 0.035 0.944 1.794 0. 1.367
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 329 139 161 512 0 424
normalized size 1 1. 2.89 1.22 1.41 4.49 0. 3.72
time (sec) N/A 0.294 0.616 0.042 0.958 1.867 0. 1.384
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 193 246 234 468 0 512
normalized size 1 1. 1.1 1.41 1.34 2.67 0. 2.93
time (sec) N/A 0.461 1.666 0.044 1.463 1.951 0. 1.366
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 157 187 169 371 0 385
normalized size 1 1. 0.88 1.05 0.95 2.08 0. 2.16
time (sec) N/A 0.556 1.012 0.041 1.499 1.883 0. 1.318
Problem 181 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 77 77 121 99 108 279 0 215
normalized size 1 1. 1.57 1.29 1.4 3.62 0. 2.79
time (sec) N/A 0.131 0.576 0.037 1.547 1.83 0. 1.377
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 138 89 99 267 0 225
normalized size 1 1. 2.34 1.51 1.68 4.53 0. 3.81
time (sec) N/A 0.414 0.465 0.036 1.023 1.773 0. 1.33
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 259 151 151 451 0 305
normalized size 1 1. 2.59 1.51 1.51 4.51 0. 3.05
time (sec) N/A 0.322 0.603 0.045 0.968 1.784 0. 1.417
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 368 212 193 629 0 440
normalized size 1 1. 2.57 1.48 1.35 4.4 0. 3.08
time (sec) N/A 0.408 0.721 0.048 1.04 1.864 0. 1.364
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 154 266 192 437 0 938
normalized size 1 1. 0.91 1.56 1.13 2.57 0. 5.52
time (sec) N/A 0.255 0.637 0.049 1. 1.928 0. 1.345
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 102 164 132 300 0 173
normalized size 1 1. 0.88 1.41 1.14 2.59 0. 1.49
time (sec) N/A 0.128 0.337 0.044 1.002 1.766 0. 1.368
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 56 65 77 163 0 89
normalized size 1 1. 0.88 1.02 1.2 2.55 0. 1.39
time (sec) N/A 0.101 0.107 0.022 0.962 1.823 0. 1.379
Problem 188 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 102 102 89 113 151 354 0 338
normalized size 1 1. 0.87 1.11 1.48 3.47 0. 3.31
time (sec) N/A 0.219 0.292 0.041 0.967 1.93 0. 1.492
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 669 201 231 683 0 651
normalized size 1 1. 4.13 1.24 1.43 4.22 0. 4.02
time (sec) N/A 0.349 6.196 0.053 1.026 1.887 0. 1.543
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 818 354 327 605 0 760
normalized size 1 1. 2.74 1.18 1.09 2.02 0. 2.54
time (sec) N/A 0.336 6.243 0.051 1.532 2.011 0. 1.548
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 696 276 247 466 0 582
normalized size 1 1. 2.95 1.17 1.05 1.97 0. 2.47
time (sec) N/A 0.748 6.162 0.047 1.485 1.936 0. 1.537
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 327 167 174 359 0 467
normalized size 1 1. 2.37 1.21 1.26 2.6 0. 3.38
time (sec) N/A 0.504 0.866 0.042 1.493 1.914 0. 1.589
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 406 158 188 378 0 304
normalized size 1 1. 3.05 1.19 1.41 2.84 0. 2.29
time (sec) N/A 0.273 0.64 0.042 0.964 1.821 0. 1.301
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 610 246 257 618 0 487
normalized size 1 1. 2.98 1.2 1.25 3.01 0. 2.38
time (sec) N/A 0.291 0.916 0.05 1.033 1.866 0. 1.351
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 812 334 311 857 0 672
normalized size 1 1. 2.91 1.2 1.11 3.07 0. 2.41
time (sec) N/A 0.316 1.412 0.051 0.997 1.862 0. 1.33
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 282 363 302 504 0 2105
normalized size 1 1. 1.26 1.63 1.35 2.26 0. 9.44
time (sec) N/A 0.251 1.344 0.049 1.055 1.967 0. 1.289
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 172 216 190 327 0 1170
normalized size 1 1. 1.13 1.42 1.25 2.15 0. 7.7
time (sec) N/A 0.194 0.362 0.043 1.06 1.907 0. 1.32
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 89 106 108 181 0 138
normalized size 1 1. 1. 1.19 1.21 2.03 0. 1.55
time (sec) N/A 0.156 0.188 0.041 0.979 1.805 0. 1.301
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 30 53 45 74 0 51
normalized size 1 1. 0.88 1.56 1.32 2.18 0. 1.5
time (sec) N/A 0.077 0.018 0.027 1.024 1.703 0. 1.304
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 63 75 86 173 0 135
normalized size 1 1. 0.85 1.01 1.16 2.34 0. 1.82
time (sec) N/A 0.105 0.093 0.048 0.982 1.861 0. 1.343
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 123 121 178 508 0 273
normalized size 1 1. 1.06 1.04 1.53 4.38 0. 2.35
time (sec) N/A 0.213 0.595 0.069 1.001 2.172 0. 1.33
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 207 259 362 1033 0 566
normalized size 1 1. 1.16 1.45 2.02 5.77 0. 3.16
time (sec) N/A 0.301 5.163 0.067 1.018 3.139 0. 1.442
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 268 1566 0 1296 0 1054
normalized size 1 1. 1.17 6.81 0. 5.63 0. 4.58
time (sec) N/A 0.608 2.381 0.074 0. 2.403 0. 1.258
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 172 769 0 902 0 549
normalized size 1 1. 1.07 4.78 0. 5.6 0. 3.41
time (sec) N/A 0.381 0.812 0.065 0. 2.483 0. 1.338
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 96 269 0 599 0 250
normalized size 1 1. 0.96 2.69 0. 5.99 0. 2.5
time (sec) N/A 0.207 0.302 0.058 0. 2.277 0. 1.336
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 118 96 0 680 0 174
normalized size 1 1. 1.4 1.14 0. 8.1 0. 2.07
time (sec) N/A 0.149 0.195 0.058 0. 1.861 0. 1.375
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 162 165 0 1214 0 363
normalized size 1 1. 1.16 1.18 0. 8.67 0. 2.59
time (sec) N/A 0.306 0.891 0.069 0. 1.921 0. 1.404
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 277 282 0 1917 0 730
normalized size 1 1. 1.38 1.4 0. 9.54 0. 3.63
time (sec) N/A 0.52 1.245 0.074 0. 2.097 0. 1.324
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 417 456 366 803 0 2512
normalized size 1 1. 1.56 1.71 1.37 3.01 0. 9.41
time (sec) N/A 0.372 3.657 0.067 1.031 2.419 0. 1.396
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 280 285 248 563 0 1488
normalized size 1 1. 1.44 1.47 1.28 2.9 0. 7.67
time (sec) N/A 0.299 1.072 0.061 1.044 2.132 0. 1.379
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 167 153 151 346 0 188
normalized size 1 1. 1.4 1.29 1.27 2.91 0. 1.58
time (sec) N/A 0.228 0.426 0.063 1.071 1.845 0. 1.343
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 76 75 74 178 0 82
normalized size 1 1. 1.33 1.32 1.3 3.12 0. 1.44
time (sec) N/A 0.112 0.133 0.036 1.001 1.76 0. 1.25
Problem 213 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 109 109 165 106 166 486 0 288
normalized size 1 1. 1.51 0.97 1.52 4.46 0. 2.64
time (sec) N/A 0.226 0.281 0.067 1.082 2.197 0. 1.329
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 224 224 370 1378 0 616
normalized size 1 1. 1.33 1.33 2.2 8.2 0. 3.67
time (sec) N/A 0.433 1.3 0.078 1.103 2.815 0. 1.44
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 320 368 690 2653 0 959
normalized size 1 1. 1.24 1.42 2.66 10.24 0. 3.7
time (sec) N/A 0.741 1.383 0.086 1.048 4.197 0. 1.442
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 473 473 402 1735 0 1871 0 1175
normalized size 1 1. 0.85 3.67 0. 3.96 0. 2.48
time (sec) N/A 1.713 6.909 0.091 0. 2.536 0. 1.383
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 282 883 0 1347 0 651
normalized size 1 1. 1.08 3.38 0. 5.16 0. 2.49
time (sec) N/A 0.825 3.093 0.081 0. 2.188 0. 1.287
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 178 325 0 1204 0 324
normalized size 1 1. 1.17 2.14 0. 7.92 0. 2.13
time (sec) N/A 0.571 1.151 0.072 0. 2.034 0. 1.308
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 128 162 0 1164 0 390
normalized size 1 1. 0.63 0.8 0. 5.73 0. 1.92
time (sec) N/A 0.436 0.823 0.082 0. 1.952 0. 1.378
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 343 281 242 0 2268 0 617
normalized size 1 1. 0.82 0.71 0. 6.61 0. 1.8
time (sec) N/A 0.547 1.081 0.092 0. 2.258 0. 1.376
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 329 329 550 549 440 1062 0 2903
normalized size 1 1. 1.67 1.67 1.34 3.23 0. 8.82
time (sec) N/A 0.502 4.691 0.072 0.999 3.076 0. 1.575
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 388 355 316 792 0 1805
normalized size 1 1. 1.62 1.49 1.32 3.31 0. 7.55
time (sec) N/A 0.365 2.918 0.071 0.974 2.394 0. 1.394
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 208 200 208 524 0 230
normalized size 1 1. 1.32 1.27 1.32 3.32 0. 1.46
time (sec) N/A 0.272 0.921 0.062 0.968 2.154 0. 1.449
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 111 96 117 304 0 104
normalized size 1 1. 1.34 1.16 1.41 3.66 0. 1.25
time (sec) N/A 0.134 0.399 0.033 0.961 1.889 0. 1.34
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 203 206 325 1021 0 610
normalized size 1 1. 1.25 1.26 1.99 6.26 0. 3.74
time (sec) N/A 0.319 0.555 0.071 0.98 2.605 0. 1.507
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 332 322 587 2344 0 1080
normalized size 1 1. 1.45 1.41 2.56 10.24 0. 4.72
time (sec) N/A 0.513 6.307 0.087 1.042 4.016 0. 1.457
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 496 427 954 3970 0 2094
normalized size 1 1. 1.58 1.36 3.05 12.68 0. 6.69
time (sec) N/A 1.007 4.505 0.093 1.048 5.88 0. 1.607
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 539 539 599 2251 0 2515 0 1391
normalized size 1 1. 1.11 4.18 0. 4.67 0. 2.58
time (sec) N/A 2.436 12.144 0.096 0. 2.95 0. 1.725
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 333 333 1178 1227 0 2331 0 788
normalized size 1 1. 3.54 3.68 0. 7. 0. 2.37
time (sec) N/A 1.138 9.265 0.086 0. 2.69 0. 1.499
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 282 729 0 2184 0 815
normalized size 1 1. 1.06 2.73 0. 8.18 0. 3.05
time (sec) N/A 0.94 3.879 0.088 0. 2.483 0. 1.511
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 231 234 0 1854 0 521
normalized size 1 1. 0.61 0.62 0. 4.93 0. 1.39
time (sec) N/A 0.658 0.919 0.091 0. 2.248 0. 1.355
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 515 515 388 328 0 3421 0 957
normalized size 1 1. 0.75 0.64 0. 6.64 0. 1.86
time (sec) N/A 0.775 1.072 0.102 0. 2.724 0. 1.457
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 516 516 2049 1776 0 0 0 0
normalized size 1 1. 3.97 3.44 0. 0. 0. 0.
time (sec) N/A 1.703 17.301 5.92 0. 0. 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 430 430 853 1195 0 0 0 0
normalized size 1 1. 1.98 2.78 0. 0. 0. 0.
time (sec) N/A 1.109 14.885 4.602 0. 0. 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 444 444 1959 1120 0 0 0 0
normalized size 1 1. 4.41 2.52 0. 0. 0. 0.
time (sec) N/A 1.044 16.458 4.273 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 356 356 351 919 0 0 0 0
normalized size 1 1. 0.99 2.58 0. 0. 0. 0.
time (sec) N/A 0.762 20.079 2.525 0. 0. 0. 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 370 370 546 937 0 0 0 0
normalized size 1 1. 1.48 2.53 0. 0. 0. 0.
time (sec) N/A 0.781 5.943 2.793 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 430 430 834 1083 0 0 0 0
normalized size 1 1. 1.94 2.52 0. 0. 0. 0.
time (sec) N/A 1.037 14.273 3.08 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 452 452 1233 681 0 0 0 0
normalized size 1 1. 2.73 1.51 0. 0. 0. 0.
time (sec) N/A 1.05 12.299 4.983 0. 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 511 511 930 1672 0 0 0 0
normalized size 1 1. 1.82 3.27 0. 0. 0. 0.
time (sec) N/A 1.377 6.795 3.823 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1070 1070 974 3808 0 0 0 0
normalized size 1 1. 0.91 3.56 0. 0. 0. 0.
time (sec) N/A 2.795 15.353 9.805 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1101 1101 2095 3412 0 0 0 0
normalized size 1 1. 1.9 3.1 0. 0. 0. 0.
time (sec) N/A 2.93 16.628 9.819 0. 0. 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 850 850 886 2540 0 0 0 0
normalized size 1 1. 1.04 2.99 0. 0. 0. 0.
time (sec) N/A 2.126 14.912 7.117 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 882 882 2012 2282 0 0 0 0
normalized size 1 1. 2.28 2.59 0. 0. 0. 0.
time (sec) N/A 2.168 16.048 7.666 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 809 809 854 1563 0 0 0 0
normalized size 1 1. 1.06 1.93 0. 0. 0. 0.
time (sec) N/A 1.833 15.045 6.344 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 838 838 1246 1475 0 0 0 0
normalized size 1 1. 1.49 1.76 0. 0. 0. 0.
time (sec) N/A 1.924 12.879 7.002 0. 0. 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1054 1054 922 2263 0 0 0 0
normalized size 1 1. 0.87 2.15 0. 0. 0. 0.
time (sec) N/A 2.692 6.859 7.915 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1089 1089 1320 2159 0 0 0 0
normalized size 1 1. 1.21 1.98 0. 0. 0. 0.
time (sec) N/A 2.781 15.21 9.019 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 153 215 0 0 0 0
normalized size 1 1. 1.22 1.72 0. 0. 0. 0.
time (sec) N/A 0.032 0.276 0.258 0. 0. 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 120 264 0 0 0 0
normalized size 1 1. 0.99 2.18 0. 0. 0. 0.
time (sec) N/A 0.115 1.193 0.278 0. 0. 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 882 1199 0 0 0 0
normalized size 1 1. 2.85 3.88 0. 0. 0. 0.
time (sec) N/A 0.23 6.113 0.3 0. 0. 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 276 850 0 0 0 0
normalized size 1 1. 1.21 3.73 0. 0. 0. 0.
time (sec) N/A 0.24 11.12 0.333 0. 0. 0. 0.
Problem 253 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 106 106 140 178 0 0 0 0
normalized size 1 1. 1.32 1.68 0. 0. 0. 0.
time (sec) N/A 0.022 0.223 0.255 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 255 255 259 852 0 0 0 0
normalized size 1 1. 1.02 3.34 0. 0. 0. 0.
time (sec) N/A 0.32 7.61 0.32 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 347 347 1249 1209 0 0 0 0
normalized size 1 1. 3.6 3.48 0. 0. 0. 0.
time (sec) N/A 0.333 6.142 0.281 0. 0. 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 318 318 259 1065 0 0 0 0
normalized size 1 1. 0.81 3.35 0. 0. 0. 0.
time (sec) N/A 0.525 7.799 0.258 0. 0. 0. 0.
Problem 257 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 249 249 182 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.387 0.316 1.569 0. 0. 0. 0.
Problem 258 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 190 190 134 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.839 0.253 1.267 0. 0. 0. 0.
Problem 259 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 119 119 98 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.107 0.619 0. 0. 0. 0.
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 232 232 687 0 0 0 0 0
normalized size 1 1. 2.96 0. 0. 0. 0. 0.
time (sec) N/A 0.259 5.624 0.575 0. 0. 0. 0.
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 405 405 1494 0 0 0 0 0
normalized size 1 1. 3.69 0. 0. 0. 0. 0.
time (sec) N/A 0.456 14.964 0.314 0. 0. 0. 0.
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 580 580 2904 0 0 0 0 0
normalized size 1 1. 5.01 0. 0. 0. 0. 0.
time (sec) N/A 0.592 19.103 0.395 0. 0. 0. 0.
Problem 263 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 7.607 0.205 0. 0. 0. 0.
Problem 264 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.513 0.217 0. 0. 0. 0.
Problem 265 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 2.564 0.211 0. 0. 0. 0.
Problem 266 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 2.801 0.202 0. 0. 0. 0.
Problem 267 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 3.195 0.72 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 562 0 0 0 0 0
normalized size 1 1. 3.75 0. 0. 0. 0. 0.
time (sec) N/A 0.126 8.162 0.753 0. 0. 0. 0.
Problem 269 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 121 121 155 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.105 1.701 0.635 0. 0. 0. 0.
Problem 270 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 72 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.48 0.319 0. 0. 0. 0.
Problem 271 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 115 115 132 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.119 0.946 0.241 0. 0. 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 231 231 710 0 0 0 0 0
normalized size 1 1. 3.07 0. 0. 0. 0. 0.
time (sec) N/A 0.195 17.198 0.261 0. 0. 0. 0.
Problem 273 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 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 14.292 0.684 0. 0. 0. 0.
Problem 274 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 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 3.779 0.588 0. 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 136 136 3614 0 0 0 0 0
normalized size 1 1. 26.57 0. 0. 0. 0. 0.
time (sec) N/A 0.165 18.461 0.252 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F B F F F F(-1) F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 424 0 6403 0 0 0 0 0
normalized size 1 0. 15.1 0. 0. 0. 0. 0.
time (sec) N/A 0.04 23.726 0.296 0. 0. 0. 0.
Problem 277 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 1.749 0.222 0. 0. 0. 0.
Problem 278 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 4.854 0.189 0. 0. 0. 0.
Problem 279 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 2.584 0.184 0. 0. 0. 0.
Problem 280 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 2.78 0.188 0. 0. 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 135 694 0 0 0 0
normalized size 1 1. 0.71 3.65 0. 0. 0. 0.
time (sec) N/A 0.165 1.435 0.335 0. 0. 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 146 1526 0 0 0 0
normalized size 1 1. 0.86 9.03 0. 0. 0. 0.
time (sec) N/A 0.162 1.258 0.246 0. 0. 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 111 288 0 0 0 0
normalized size 1 1. 0.92 2.38 0. 0. 0. 0.
time (sec) N/A 0.137 0.835 0.209 0. 0. 0. 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 130 1503 0 0 0 0
normalized size 1 1. 1.07 12.32 0. 0. 0. 0.
time (sec) N/A 0.148 0.809 0.239 0. 0. 0. 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 135 710 0 0 0 0
normalized size 1 1. 0.74 3.9 0. 0. 0. 0.
time (sec) N/A 0.172 10.727 0.233 0. 0. 0. 0.
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 165 1565 0 0 0 0
normalized size 1 1. 0.84 7.94 0. 0. 0. 0.
time (sec) N/A 0.172 1.393 0.227 0. 0. 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 195 730 0 0 0 0
normalized size 1 1. 0.72 2.7 0. 0. 0. 0.
time (sec) N/A 0.334 3.748 0.272 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 195 1559 0 0 0 0
normalized size 1 1. 0.81 6.5 0. 0. 0. 0.
time (sec) N/A 0.331 4.723 0.197 0. 0. 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 154 168 729 0 0 0 0
normalized size 1 1. 1.09 4.73 0. 0. 0. 0.
time (sec) N/A 0.263 2.436 0.242 0. 0. 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 153 153 287 1610 0 0 0 0
normalized size 1 1. 1.88 10.52 0. 0. 0. 0.
time (sec) N/A 0.272 8.422 0.231 0. 0. 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 222 222 164 763 0 0 0 0
normalized size 1 1. 0.74 3.44 0. 0. 0. 0.
time (sec) N/A 0.313 7.617 0.218 0. 0. 0. 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 236 236 152 1600 0 0 0 0
normalized size 1 1. 0.64 6.78 0. 0. 0. 0.
time (sec) N/A 0.32 10.861 0.239 0. 0. 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 131 465 0 0 0 0
normalized size 1 1. 0.85 3. 0. 0. 0. 0.
time (sec) N/A 0.224 0.998 0.224 0. 0. 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 230 781 0 0 0 0
normalized size 1 1. 1.59 5.39 0. 0. 0. 0.
time (sec) N/A 0.229 1.34 0.21 0. 0. 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 60 320 0 0 0 0
normalized size 1 1. 0.57 3.05 0. 0. 0. 0.
time (sec) N/A 0.203 0.355 0.215 0. 0. 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 95 524 0 0 0 0
normalized size 1 1. 0.96 5.29 0. 0. 0. 0.
time (sec) N/A 0.211 0.602 0.214 0. 0. 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 70 195 0 0 0 0
normalized size 1 1. 0.66 1.84 0. 0. 0. 0.
time (sec) N/A 0.227 0.375 0.196 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 100 563 0 0 0 0
normalized size 1 1. 0.83 4.69 0. 0. 0. 0.
time (sec) N/A 0.222 0.875 0.227 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 91 221 0 0 0 0
normalized size 1 1. 0.61 1.48 0. 0. 0. 0.
time (sec) N/A 0.254 0.566 0.254 0. 0. 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 115 609 0 0 0 0
normalized size 1 1. 0.43 2.27 0. 0. 0. 0.
time (sec) N/A 0.505 1.098 0.247 0. 0. 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 247 1044 0 0 0 0
normalized size 1 1. 0.99 4.18 0. 0. 0. 0.
time (sec) N/A 0.493 1.791 0.233 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 82 474 0 0 0 0
normalized size 1 1. 0.41 2.36 0. 0. 0. 0.
time (sec) N/A 0.448 0.691 0.24 0. 0. 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 252 793 0 0 0 0
normalized size 1 1. 1.27 3.98 0. 0. 0. 0.
time (sec) N/A 0.469 1.612 0.236 0. 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 101 327 0 0 0 0
normalized size 1 1. 0.47 1.54 0. 0. 0. 0.
time (sec) N/A 0.475 0.537 0.221 0. 0. 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 125 551 0 0 0 0
normalized size 1 1. 0.58 2.56 0. 0. 0. 0.
time (sec) N/A 0.471 2.135 0.239 0. 0. 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 94 221 0 0 0 0
normalized size 1 1. 0.55 1.28 0. 0. 0. 0.
time (sec) N/A 0.463 2.276 0.208 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 [241] had the largest ratio of [ 0.64 ]

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 5 4 1. 19 0.21
2 A 5 4 1. 19 0.21
3 A 5 4 1. 19 0.21
4 A 5 4 1. 19 0.21
5 A 4 3 1. 17 0.176
6 A 6 6 1. 17 0.353
7 A 5 4 1. 19 0.21
8 A 5 4 1. 19 0.21
9 A 5 4 1. 19 0.21
10 A 11 7 1. 19 0.368
11 A 10 7 1. 19 0.368
12 A 9 7 1. 19 0.368
13 A 7 7 1. 19 0.368
14 A 7 7 1. 19 0.368
15 A 8 6 1. 19 0.316
16 A 8 6 1. 19 0.316
17 A 8 6 1. 19 0.316
18 A 8 6 1. 19 0.316
19 A 5 4 1. 21 0.19
20 A 5 4 1. 21 0.19
21 A 5 4 1. 21 0.19
22 A 5 4 1. 21 0.19
23 A 5 4 1. 19 0.21
24 A 5 4 1. 19 0.21
25 A 5 4 1. 21 0.19
26 A 5 4 1. 21 0.19
27 A 5 4 1. 21 0.19
28 A 5 4 1. 21 0.19
29 A 27 8 1. 21 0.381
30 A 18 8 1. 21 0.381
31 A 14 8 1. 21 0.381
32 A 9 7 1. 21 0.333
33 A 11 9 1. 21 0.429
34 A 8 8 1. 21 0.381
35 A 12 8 1. 21 0.381
36 A 12 8 1. 21 0.381
37 A 12 8 1. 21 0.381
38 A 5 4 1. 21 0.19
39 A 5 4 1. 21 0.19
40 A 5 4 1. 21 0.19
41 A 4 3 1. 21 0.143
42 A 5 4 1. 19 0.21
43 A 5 4 1. 19 0.21
44 A 5 4 1. 21 0.19
45 A 5 4 1. 21 0.19
46 A 5 4 1. 21 0.19
47 A 5 4 1. 21 0.19
48 A 29 9 1. 21 0.429
49 A 18 9 1. 21 0.429
50 A 16 9 1. 21 0.429
51 A 11 8 1. 21 0.381
52 A 9 7 1. 21 0.333
53 A 11 8 1. 21 0.381
54 A 10 9 1. 21 0.429
55 A 17 9 1. 21 0.429
56 A 17 9 1. 21 0.429
57 A 7 6 1. 21 0.286
58 A 7 6 1. 21 0.286
59 A 7 6 1. 21 0.286
60 A 6 5 1. 21 0.238
61 A 5 4 1. 19 0.21
62 A 6 6 1. 19 0.316
63 A 7 7 1. 21 0.333
64 A 8 7 1. 21 0.333
65 A 9 7 1. 21 0.333
66 A 8 7 1. 21 0.333
67 A 7 7 1. 21 0.333
68 A 5 5 1. 21 0.238
69 A 6 5 1. 21 0.238
70 A 7 6 1. 21 0.286
71 A 7 6 1. 21 0.286
72 A 7 6 1. 21 0.286
73 A 7 6 1. 21 0.286
74 A 5 4 1. 21 0.19
75 A 5 4 1. 21 0.19
76 A 5 4 1. 21 0.19
77 A 5 4 1. 21 0.19
78 A 5 4 1. 21 0.19
79 A 5 4 1. 19 0.21
80 A 6 5 1. 19 0.263
81 A 4 4 1. 21 0.19
82 A 6 5 1. 21 0.238
83 A 16 8 1. 21 0.381
84 A 7 6 1. 21 0.286
85 A 11 6 1. 21 0.286
86 A 9 8 1. 21 0.381
87 A 11 6 1. 21 0.286
88 A 13 7 1. 21 0.333
89 A 13 7 1. 21 0.333
90 A 13 7 1. 21 0.333
91 A 5 4 1. 21 0.19
92 A 5 4 1. 21 0.19
93 A 5 4 1. 21 0.19
94 A 5 4 1. 21 0.19
95 A 5 4 1. 21 0.19
96 A 5 4 1. 19 0.21
97 A 6 5 1. 19 0.263
98 A 5 4 1. 21 0.19
99 A 6 5 1. 21 0.238
100 A 19 9 1. 21 0.429
101 A 15 6 1. 21 0.286
102 A 13 8 1. 21 0.381
103 A 10 8 1. 21 0.381
104 A 15 8 1. 21 0.381
105 A 16 7 1. 21 0.333
106 A 16 7 1. 21 0.333
107 A 16 7 1. 21 0.333
108 A 11 11 1. 23 0.478
109 A 11 11 1. 23 0.478
110 A 9 9 1. 23 0.391
111 A 9 9 1. 23 0.391
112 A 11 11 1. 23 0.478
113 A 11 11 1. 23 0.478
114 A 15 12 1. 25 0.48
115 A 15 12 1. 25 0.48
116 A 13 10 1. 25 0.4
117 A 13 10 1. 25 0.4
118 A 16 13 1. 25 0.52
119 A 16 13 1. 25 0.52
120 A 8 8 1. 25 0.32
121 A 7 7 1. 25 0.28
122 A 7 7 1. 25 0.28
123 A 7 7 1. 25 0.28
124 A 7 7 1. 25 0.28
125 A 8 8 1. 25 0.32
126 A 8 8 1. 25 0.32
127 A 14 8 1. 25 0.32
128 A 14 9 1. 25 0.36
129 A 14 9 1. 25 0.36
130 A 15 9 1. 25 0.36
131 A 15 9 1. 25 0.36
132 A 17 9 1. 25 0.36
133 A 17 9 1. 25 0.36
134 A 9 6 1. 23 0.261
135 A 7 6 1. 23 0.261
136 A 5 5 1. 21 0.238
137 A 5 5 1. 23 0.217
138 A 9 6 1. 23 0.261
139 A 12 7 1. 23 0.304
140 A 5 4 1. 25 0.16
141 A 5 4 1. 25 0.16
142 A 5 4 1. 25 0.16
143 A 5 4 1. 25 0.16
144 A 5 4 1. 23 0.174
145 A 4 4 1. 21 0.19
146 A 4 4 1. 21 0.19
147 A 3 3 1. 21 0.143
148 A 2 2 1. 19 0.105
149 A 2 2 1. 19 0.105
150 A 4 4 1. 21 0.19
151 A 5 5 1. 21 0.238
152 A 11 9 1. 21 0.429
153 A 6 5 1. 21 0.238
154 A 4 4 1. 21 0.19
155 A 7 6 1. 21 0.286
156 A 5 4 1. 23 0.174
157 A 5 4 1. 23 0.174
158 A 5 4 1. 23 0.174
159 A 5 4 1. 23 0.174
160 A 5 4 1. 19 0.21
161 A 5 4 1. 19 0.21
162 A 5 4 1. 19 0.21
163 A 4 3 1. 17 0.176
164 A 5 5 1. 17 0.294
165 A 7 6 1. 19 0.316
166 A 9 7 1. 19 0.368
167 A 10 7 1. 19 0.368
168 A 10 7 1. 19 0.368
169 A 9 7 1. 19 0.368
170 A 7 7 1. 19 0.368
171 A 7 7 1. 19 0.368
172 A 8 6 1. 19 0.316
173 A 8 6 1. 19 0.316
174 A 5 4 1. 21 0.19
175 A 5 4 1. 21 0.19
176 A 5 4 1. 19 0.21
177 A 5 4 1. 19 0.21
178 A 6 5 1. 21 0.238
179 A 12 10 1. 21 0.476
180 A 7 7 1. 21 0.333
181 A 10 8 1. 21 0.381
182 A 8 6 1. 21 0.286
183 A 9 6 1. 21 0.286
184 A 9 6 1. 21 0.286
185 A 5 4 1. 21 0.19
186 A 4 3 1. 21 0.143
187 A 5 4 1. 19 0.21
188 A 5 4 1. 19 0.21
189 A 6 5 1. 21 0.238
190 A 21 11 1. 21 0.524
191 A 8 7 1. 21 0.333
192 A 8 8 1. 21 0.381
193 A 15 10 1. 21 0.476
194 A 17 9 1. 21 0.429
195 A 17 9 1. 21 0.429
196 A 5 4 1. 21 0.19
197 A 5 4 1. 21 0.19
198 A 5 4 1. 21 0.19
199 A 5 4 1. 19 0.21
200 A 4 3 1. 19 0.158
201 A 6 5 1. 21 0.238
202 A 7 5 1. 21 0.238
203 A 7 5 1. 21 0.238
204 A 6 5 1. 21 0.238
205 A 5 5 1. 21 0.238
206 A 5 5 1. 21 0.238
207 A 6 5 1. 21 0.238
208 A 7 5 1. 21 0.238
209 A 5 4 1. 21 0.19
210 A 5 4 1. 21 0.19
211 A 5 4 1. 21 0.19
212 A 5 4 1. 19 0.21
213 A 5 4 1. 19 0.21
214 A 6 5 1. 21 0.238
215 A 7 5 1. 21 0.238
216 A 10 8 1. 21 0.381
217 A 8 7 1. 21 0.333
218 A 8 8 1. 21 0.381
219 A 11 7 1. 21 0.333
220 A 15 8 1. 21 0.381
221 A 5 4 1. 21 0.19
222 A 5 4 1. 21 0.19
223 A 5 4 1. 21 0.19
224 A 5 4 1. 19 0.21
225 A 5 4 1. 19 0.21
226 A 5 4 1. 21 0.19
227 A 7 5 1. 21 0.238
228 A 11 8 1. 21 0.381
229 A 9 7 1. 21 0.333
230 A 9 8 1. 21 0.381
231 A 16 8 1. 21 0.381
232 A 20 9 1. 21 0.429
233 A 15 12 1. 25 0.48
234 A 14 12 1. 25 0.48
235 A 14 12 1. 25 0.48
236 A 13 11 1. 25 0.44
237 A 13 11 1. 25 0.44
238 A 14 12 1. 25 0.48
239 A 14 12 1. 25 0.48
240 A 15 12 1. 25 0.48
241 A 35 16 1. 25 0.64
242 A 35 16 1. 25 0.64
243 A 32 15 1. 25 0.6
244 A 32 15 1. 25 0.6
245 A 27 13 1. 25 0.52
246 A 27 13 1. 25 0.52
247 A 33 16 1. 25 0.64
248 A 33 16 1. 25 0.64
249 A 1 1 1. 14 0.071
250 A 2 2 1. 23 0.087
251 A 5 5 1. 14 0.357
252 A 4 4 1. 23 0.174
253 A 1 1 1. 14 0.071
254 A 6 6 1. 23 0.261
255 A 6 6 1. 14 0.429
256 A 6 6 1. 23 0.261
257 A 9 6 1. 23 0.261
258 A 9 8 1. 23 0.348
259 A 5 5 1. 21 0.238
260 A 4 4 1. 23 0.174
261 A 6 4 1. 23 0.174
262 A 7 4 1. 23 0.174
263 A 0 0 0. 0 0.
264 A 0 0 0. 0 0.
265 A 0 0 0. 0 0.
266 A 0 0 0. 0 0.
267 A 0 0 0. 0 0.
268 A 6 3 1. 21 0.143
269 A 3 3 1. 21 0.143
270 A 2 2 1. 19 0.105
271 A 6 4 1. 19 0.21
272 A 9 4 1. 21 0.19
273 A 0 0 0. 0 0.
274 A 0 0 0. 0 0.
275 A 4 4 1. 21 0.19
276 F 0 0 N/A 0 N/A
277 A 0 0 0. 0 0.
278 A 0 0 0. 0 0.
279 A 0 0 0. 0 0.
280 A 0 0 0. 0 0.
281 A 11 11 1. 23 0.478
282 A 11 11 1. 23 0.478
283 A 9 9 1. 23 0.391
284 A 9 9 1. 23 0.391
285 A 11 11 1. 23 0.478
286 A 11 11 1. 23 0.478
287 A 15 13 1. 25 0.52
288 A 15 13 1. 25 0.52
289 A 12 10 1. 25 0.4
290 A 12 10 1. 25 0.4
291 A 14 12 1. 25 0.48
292 A 14 12 1. 25 0.48
293 A 8 8 1. 25 0.32
294 A 8 8 1. 25 0.32
295 A 7 7 1. 25 0.28
296 A 7 7 1. 25 0.28
297 A 7 7 1. 25 0.28
298 A 7 7 1. 25 0.28
299 A 8 8 1. 25 0.32
300 A 16 9 1. 25 0.36
301 A 16 9 1. 25 0.36
302 A 14 9 1. 25 0.36
303 A 14 9 1. 25 0.36
304 A 13 9 1. 25 0.36
305 A 13 9 1. 25 0.36
306 A 13 8 1. 25 0.32

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