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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, 19, 20, 21, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 47, 48, 49, 52, 53, 54, 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, 106, 107, 108, 109, 110, 111, 114, 115, 116, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 137, 138, 139, 142, 143, 144, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 164, 165, 166, 168, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 191, 192, 193, 196, 197, 198, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 219, 220, 221, 224, 225, 226, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 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, 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, 307, 309 }

B grade: { 14, 42, 70, 71, 72, 73, 101, 132, 167, 169, 186, 214, 244, 245, 246, 276, 277, 278, 308, 310, 311, 312, 313, 314 }

C grade: { 15, 16, 17, 18, 43, 44, 45, 46, 102, 103, 104, 105, 133, 134, 135, 136, 162, 163, 170, 171, 187, 188, 189, 190, 215, 216, 217, 218 }

F grade: { 22, 23, 27, 28, 50, 51, 55, 56, 112, 113, 117, 118, 140, 141, 145, 146, 172, 194, 195, 199, 200, 222, 223, 227, 228, 229}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 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, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 137, 138, 139, 142, 143, 144, 148, 149, 150, 151, 152, 153, 154, 155, 160, 161, 162, 163, 169, 170, 171, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 219, 220, 221, 224, 225, 226, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 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, 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, 311 }

B grade: { 14, 42, 71, 72, 106, 107, 108, 147, 156, 157, 158, 159, 164, 165, 166, 167, 168, 245, 277, 306, 307, 308 }

C grade: { 15, 16, 17, 18, 43, 44, 45, 46, 102, 103, 104, 105, 133, 134, 135, 136, 187, 188, 189, 190, 215, 216, 217, 218 }

F grade: { 140, 141, 145, 146, 172, 222, 223, 227, 228, 229, 276, 309, 310, 312, 313, 314}

2.1.3 Maple

A grade: { 19, 20, 21, 24, 25, 26, 47, 48, 49, 52, 53, 54, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 106, 107, 108, 109, 110, 111, 114, 115, 116, 137, 138, 139, 142, 143, 144, 191, 192, 193, 194, 196, 197, 198, 219, 220, 221, 224, 225, 226, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292 }

B grade: { 61, 88, 89, 90, 91, 92, 93, 94, 95, 96, 101, 102, 103, 104, 105, 119, 120, 121, 122, 123, 124, 125, 126, 127, 133, 134, 135, 136, 173, 174, 175, 176, 177, 178, 179, 180, 181, 186, 187, 188, 189, 190, 199, 201, 202, 203, 204, 205, 206, 207, 208, 209, 215, 216, 217, 218, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 244, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 297 }

C grade: { 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 168, 169, 170, 171, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305 }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 97, 98, 99, 100, 112, 113, 117, 118, 128, 129, 130, 131, 132, 140, 141, 145, 146, 159, 164, 165, 166, 167, 172, 182, 183, 184, 185, 195, 200, 210, 211, 212, 213, 214, 222, 223, 227, 228, 229, 240, 241, 242, 243, 245, 246, 247, 248, 272, 273, 274, 275, 276, 277, 278, 279, 280, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.4 Maxima

A grade: { 4, 7, 19, 20, 21, 24, 25, 26, 32, 34, 35, 47, 48, 49, 52, 53, 54, 57, 58, 59, 60, 61, 63, 64, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 91, 94, 109, 110, 111, 114, 115, 116, 137, 138, 139, 142, 143, 144, 150, 152, 153, 176, 179, 191, 192, 193, 196, 197, 198, 206, 219, 220, 221, 224, 225, 226, 230, 231, 232, 233, 234, 236, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 266, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 299

B grade: { 1, 2, 3, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 29, 30, 31, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 65, 66, 67, 68, 69, 88, 89, 90, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 119, 120, 121, 122, 124, 125, 126, 127, 128, 129, 130, 131, 133, 134, 135, 136, 147, 148, 149, 154, 155, 156, 157, 158, 160, 161, 162, 163, 168, 169, 170, 171, 173, 174, 175, 178, 180, 181, 182, 183, 184, 185, 187, 188, 189, 190, 201, 202, 203, 204, 207, 208, 209, 210, 211, 212, 213, 215, 216, 217, 218, 237, 238, 239, 240, 241, 242, 262, 263, 264, 265, 268, 269, 270, 271, 272, 273, 274, 294, 300, 301, 302, 303, 304 }

C grade: { }

F grade: { 5, 14, 22, 23, 27, 28, 33, 42, 50, 51, 55, 56, 62, 70, 71, 72, 73, 74, 75, 92, 101, 112, 113, 117, 118, 123, 132, 140, 141, 145, 146, 151, 159, 164, 165, 166, 167, 172, 177, 186, 194, 195, 199, 200, 205, 214, 222, 223, 227, 228, 229, 235, 243, 244, 245, 246, 247, 248, 267, 275, 276, 277, 278, 279, 280, 298, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.5 FriCAS

A grade: { 4, 6, 7, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 34, 35, 43, 47, 48, 49, 50, 51, 52, 53, 54, 55, 60, 61, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 91, 93, 94, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 122, 124, 125, 133, 134, 135, 136, 137, 138, 139, 142, 143, 144, 152, 172, 176, 178, 179, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 198, 204, 206, 207, 215, 216, 217, 219, 220, 221, 224, 225, 226, 229, 230, 232, 233, 234, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 265, 266, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 296, 297 }

B grade: { 1, 2, 3, 8, 9, 16, 17, 18, 28, 29, 30, 31, 32, 36, 37, 44, 45, 46, 56, 57, 58, 59, 63, 88, 89, 90, 95, 96, 118, 119, 120, 121, 126, 127, 147, 148, 149, 150, 153, 154, 155, 160, 161, 162, 163, 168, 169, 170, 171, 173, 174, 175, 180, 181, 190, 199, 200, 201, 202, 203, 208, 209, 218, 231, 236, 263, 264, 268, 293, 294, 295, 299 }

C grade: { }

F grade: { 5, 10, 11, 12, 13, 14, 33, 38, 39, 40, 41, 42, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 92, 97, 98, 99, 100, 101, 123, 128, 129, 130, 131, 132, 140, 141, 145, 146, 151, 156, 157, 158, 159, 164, 165, 166, 167, 177, 182, 183, 184, 185, 186, 205, 210, 211, 212, 213, 214, 222, 223, 227, 228, 235, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 298, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.6 Sympy

A grade: { 234, 249 }

B grade: { 88, 89, 90, 91, 93, 94, 95, 96, 102, 103, 104, 119, 120, 121, 122, 124, 125, 126, 127, 133, 134, 135, 173, 174, 175, 176, 178, 179, 180, 181, 187, 188, 189, 201, 202, 203, 204, 206, 207, 208, 209, 215, 216, 217, 230, 231, 232, 233, 262, 263, 264, 265, 266 }

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, 92, 97, 98, 99, 100, 101, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 123, 128, 129, 130, 131, 132, 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, 177, 182, 183, 184, 185, 186, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 205, 210, 211, 212, 213, 214, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 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, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.7 Giac

A grade: { 4, 6, 7, 19, 20, 21, 24, 25, 26, 32, 34, 35, 47, 48, 49, 52, 53, 54, 55, 59, 60, 61, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 91, 93, 94, 109, 110, 111, 114, 115, 116, 122, 125, 136, 137, 138, 139, 142, 143, 144, 150, 152, 153, 176, 178, 179, 191, 192, 193, 196, 197, 198, 204, 206, 207, 218, 219, 220, 221, 224, 225, 226, 232, 233, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 264, 265, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 296, 297, 299 }

B grade: { 3, 8, 9, 30, 31, 36, 37, 63, 64, 65, 66, 88, 89, 90, 95, 96, 119, 120, 121, 124, 126, 127, 133, 147, 148, 149, 154, 155, 173, 174, 175, 180, 181, 199, 201, 202, 203, 208, 209, 215, 236, 237, 238, 239, 263, 269, 270, 295, 300, 301, 302 }

C grade: { }

F grade: { 1, 2, 5, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 27, 28, 29, 33, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 56, 57, 58, 62, 67, 68, 69, 70, 71, 72, 73, 74, 75, 92, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 112, 113, 117, 118, 123, 128, 129, 130, 131, 132, 134, 135, 140, 141, 145, 146, 151, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 177, 182, 183, 184, 185, 186, 187, 188, 189, 190, 194, 195, 200, 205, 210, 211, 212, 213, 214, 216, 217, 222, 223, 227, 228, 229, 230, 231, 234, 235, 240, 241, 242, 243, 244, 245, 246, 247, 248, 262, 266, 267, 268, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 293, 294, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

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 F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 146 0 913 1188 0 0
normalized size 1 1. 0.78 0. 4.86 6.32 0. 0.
time (sec) N/A 0.143 0.129 0.546 1.28 1.183 0. 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 124 0 647 883 0 0
normalized size 1 1. 0.79 0. 4.15 5.66 0. 0.
time (sec) N/A 0.106 0.11 0.405 1.236 1.07 0. 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 103 0 417 622 0 354
normalized size 1 1. 0.83 0. 3.36 5.02 0. 2.85
time (sec) N/A 0.09 0.062 0.402 1.211 0.906 0. 26.721
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 73 0 211 360 0 167
normalized size 1 1. 0.85 0. 2.45 4.19 0. 1.94
time (sec) N/A 0.061 0.04 0.322 1.133 0.949 0. 3.651
Problem 5 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 84 126 101 0 0 0 0 0
normalized size 1 1.5 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.209 0.054 0.529 0. 0. 0. 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 108 115 0 185 221 0 162
normalized size 1 1.61 1.72 0. 2.76 3.3 0. 2.42
time (sec) N/A 0.09 0.063 0.449 1.214 0.797 0. 1.423
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 114 0 350 562 0 351
normalized size 1 1. 0.75 0. 2.32 3.72 0. 2.32
time (sec) N/A 0.123 0.162 0.436 1.212 0.991 0. 1.571
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 145 0 583 990 0 655
normalized size 1 1. 0.79 0. 3.19 5.41 0. 3.58
time (sec) N/A 0.152 0.185 0.437 1.263 0.879 0. 1.367
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 162 0 879 1505 0 1038
normalized size 1 1. 0.75 0. 4.09 7. 0. 4.83
time (sec) N/A 0.189 0.26 0.437 1.348 1.066 0. 1.422
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 396 602 535 0 3976 0 0 0
normalized size 1 1.52 1.35 0. 10.04 0. 0. 0.
time (sec) N/A 0.871 0.525 0.427 3.824 0. 0. 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 512 411 0 2936 0 0 0
normalized size 1 1.53 1.23 0. 8.76 0. 0. 0.
time (sec) N/A 0.707 0.36 0.433 3.801 0. 0. 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 420 303 0 2026 0 0 0
normalized size 1 1.53 1.11 0. 7.39 0. 0. 0.
time (sec) N/A 0.583 0.237 0.426 3.682 0. 0. 0.
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 309 215 0 1118 0 0 0
normalized size 1 1.58 1.1 0. 5.7 0. 0. 0.
time (sec) N/A 0.443 0.2 0.276 3.81 0. 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 789 537 0 0 0 0 0
normalized size 1 5.72 3.89 0. 0. 0. 0. 0.
time (sec) N/A 3.573 0.416 0.437 0. 0. 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 512 330 0 581 555 0 0
normalized size 1 3.76 2.43 0. 4.27 4.08 0. 0.
time (sec) N/A 0.84 0.599 0.436 1.231 0.928 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 626 463 0 1162 1354 0 0
normalized size 1 2.17 1.61 0. 4.03 4.7 0. 0.
time (sec) N/A 0.923 0.553 0.44 1.373 0.979 0. 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 448 736 609 0 1933 2383 0 0
normalized size 1 1.64 1.36 0. 4.31 5.32 0. 0.
time (sec) N/A 1.087 0.803 0.439 1.639 1.067 0. 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 615 826 776 0 2884 3615 0 0
normalized size 1 1.34 1.26 0. 4.69 5.88 0. 0.
time (sec) N/A 1.314 1.188 0.451 2.032 1.158 0. 0.
Problem 19 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.233 0.749 0.401 0. 0. 0. 0.
Problem 20 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.284 0.307 0. 0. 0. 0.
Problem 21 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.144 0.546 0. 0. 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 94 0 94 0 0 149 0 0
normalized size 1 0. 1. 0. 0. 1.59 0. 0.
time (sec) N/A 0.099 0.131 0.444 0. 0.868 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 197 0 172 0 0 354 0 0
normalized size 1 0. 0.87 0. 0. 1.8 0. 0.
time (sec) N/A 0.082 0.297 0.437 0. 0.936 0. 0.
Problem 24 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.238 0.983 0.395 0. 0. 0. 0.
Problem 25 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.934 0.254 0. 0. 0. 0.
Problem 26 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.531 0.437 0. 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 153 0 146 0 0 598 0 0
normalized size 1 0. 0.95 0. 0. 3.91 0. 0.
time (sec) N/A 0.105 0.183 0.441 0. 0.931 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 314 0 254 0 0 1612 0 0
normalized size 1 0. 0.81 0. 0. 5.13 0. 0.
time (sec) N/A 0.093 0.644 0.438 0. 0.953 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 146 0 913 1188 0 0
normalized size 1 1. 0.78 0. 4.86 6.32 0. 0.
time (sec) N/A 0.128 0.105 0.522 1.243 1.069 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 124 0 647 883 0 537
normalized size 1 1. 0.79 0. 4.15 5.66 0. 3.44
time (sec) N/A 0.102 0.094 0.411 1.255 1.071 0. 143.004
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 101 0 417 622 0 354
normalized size 1 1. 0.81 0. 3.36 5.02 0. 2.85
time (sec) N/A 0.081 0.06 0.404 1.195 0.975 0. 21.472
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 74 0 211 360 0 173
normalized size 1 1. 0.86 0. 2.45 4.19 0. 2.01
time (sec) N/A 0.06 0.038 0.328 1.142 0.805 0. 3.045
Problem 33 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 80 128 101 0 0 0 0 0
normalized size 1 1.6 1.26 0. 0. 0. 0. 0.
time (sec) N/A 0.201 0.039 0.531 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 107 114 0 184 221 0 166
normalized size 1 1.05 1.12 0. 1.8 2.17 0. 1.63
time (sec) N/A 0.087 0.06 0.438 1.175 0.909 0. 1.369
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 115 0 350 562 0 351
normalized size 1 1. 0.76 0. 2.32 3.72 0. 2.32
time (sec) N/A 0.114 0.148 0.444 1.208 0.794 0. 1.4
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 146 0 585 990 0 655
normalized size 1 1. 0.8 0. 3.2 5.41 0. 3.58
time (sec) N/A 0.143 0.177 0.449 1.259 0.934 0. 1.459
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 162 0 880 1505 0 1038
normalized size 1 1. 0.75 0. 4.09 7. 0. 4.83
time (sec) N/A 0.176 0.237 0.455 1.255 1. 0. 1.341
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 544 634 533 0 3888 0 0 0
normalized size 1 1.17 0.98 0. 7.15 0. 0. 0.
time (sec) N/A 0.88 0.504 0.441 3.792 0. 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 454 544 409 0 2874 0 0 0
normalized size 1 1.2 0.9 0. 6.33 0. 0. 0.
time (sec) N/A 0.684 0.339 0.429 3.632 0. 0. 0.
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 454 303 0 1989 0 0 0
normalized size 1 1.26 0.84 0. 5.51 0. 0. 0.
time (sec) N/A 0.567 0.24 0.43 3.604 0. 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 307 216 0 1114 0 0 0
normalized size 1 1.4 0.98 0. 5.06 0. 0. 0.
time (sec) N/A 0.423 0.212 0.277 3.549 0. 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 782 537 0 0 0 0 0
normalized size 1 5.71 3.92 0. 0. 0. 0. 0.
time (sec) N/A 3.302 0.4 0.444 0. 0. 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 514 331 0 578 555 0 0
normalized size 1 3.15 2.03 0. 3.55 3.4 0. 0.
time (sec) N/A 0.774 0.446 0.441 1.26 0.88 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 626 464 0 1162 1354 0 0
normalized size 1 1.97 1.46 0. 3.67 4.27 0. 0.
time (sec) N/A 0.915 0.492 0.441 1.383 0.97 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 736 609 0 1937 2383 0 0
normalized size 1 1.72 1.42 0. 4.52 5.55 0. 0.
time (sec) N/A 1.098 0.775 0.441 1.62 1.062 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 826 776 0 2886 3615 0 0
normalized size 1 1.54 1.45 0. 5.38 6.74 0. 0.
time (sec) N/A 1.295 1.086 0.442 2.03 1.286 0. 0.
Problem 47 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.214 0.438 0.398 0. 0. 0. 0.
Problem 48 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.283 0.303 0. 0. 0. 0.
Problem 49 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 0.174 0.54 0. 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 96 0 96 0 0 149 0 0
normalized size 1 0. 1. 0. 0. 1.55 0. 0.
time (sec) N/A 0.1 0.119 0.438 0. 0.904 0. 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 199 0 174 0 0 351 0 0
normalized size 1 0. 0.87 0. 0. 1.76 0. 0.
time (sec) N/A 0.083 0.29 0.435 0. 0.889 0. 0.
Problem 52 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.233 0.989 0.392 0. 0. 0. 0.
Problem 53 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.959 0.243 0. 0. 0. 0.
Problem 54 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.536 0.427 0. 0. 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 154 0 180 0 0 635 0 396
normalized size 1 0. 1.17 0. 0. 4.12 0. 2.57
time (sec) N/A 0.104 0.171 0.438 0. 0.756 0. 1.459
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 256 0 288 0 0 1648 0 0
normalized size 1 0. 1.12 0. 0. 6.44 0. 0.
time (sec) N/A 0.094 0.565 0.439 0. 0.898 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 348 285 0 852 1488 0 0
normalized size 1 0.96 0.78 0. 2.34 4.09 0. 0.
time (sec) N/A 0.603 0.65 0.438 1.26 3.133 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 219 0 598 1053 0 0
normalized size 1 1. 0.93 0. 2.54 4.48 0. 0.
time (sec) N/A 0.359 0.288 0.403 1.204 1.501 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 146 0 381 695 0 366
normalized size 1 1. 0.93 0. 2.43 4.43 0. 2.33
time (sec) N/A 0.18 0.144 0.41 1.182 1.205 0. 81.826
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 120 0 203 390 0 182
normalized size 1 1. 1.04 0. 1.77 3.39 0. 1.58
time (sec) N/A 0.105 0.128 0.32 1.095 0.925 0. 5.301
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 56 122 70 158 0 72
normalized size 1 1. 1. 2.18 1.25 2.82 0. 1.29
time (sec) N/A 0.033 0.009 0.049 1.177 0.841 0. 1.39
Problem 62 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 147 147 122 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.226 0.058 0.616 0. 0. 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 119 109 0 192 652 0 390
normalized size 1 1.31 1.2 0. 2.11 7.16 0. 4.29
time (sec) N/A 0.125 0.183 0.513 1.184 17.469 0. 1.332
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 173 0 479 0 0 1165
normalized size 1 1. 0.91 0. 2.52 0. 0. 6.13
time (sec) N/A 0.236 0.695 0.513 1.292 0. 0. 1.882
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 264 0 1150 0 0 2925
normalized size 1 1. 0.93 0. 4.06 0. 0. 10.34
time (sec) N/A 0.458 1.021 0.507 1.549 0. 0. 3.999
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 388 388 359 0 2377 0 0 5863
normalized size 1 1. 0.93 0. 6.13 0. 0. 15.11
time (sec) N/A 0.713 1.355 0.502 1.968 0. 0. 14.539
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 923 1060 757 0 3579 0 0 0
normalized size 1 1.15 0.82 0. 3.88 0. 0. 0.
time (sec) N/A 1.835 1.041 0.428 3.997 0. 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 565 699 506 0 2240 0 0 0
normalized size 1 1.24 0.9 0. 3.96 0. 0. 0.
time (sec) N/A 1.15 0.565 0.421 3.788 0. 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 481 362 0 1214 0 0 0
normalized size 1 1.66 1.25 0. 4.19 0. 0. 0.
time (sec) N/A 0.831 0.328 0.274 3.5 0. 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 275 226 0 0 0 0 0
normalized size 1 2.04 1.67 0. 0. 0. 0. 0.
time (sec) N/A 0.617 0.17 0.309 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 2233 1441 0 0 0 0 0
normalized size 1 7.52 4.85 0. 0. 0. 0. 0.
time (sec) N/A 5.184 0.473 0.528 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 657 418 0 0 0 0 0
normalized size 1 3.19 2.03 0. 0. 0. 0. 0.
time (sec) N/A 1.134 0.738 0.516 0. 0. 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 941 615 0 0 0 0 0
normalized size 1 2.42 1.58 0. 0. 0. 0. 0.
time (sec) N/A 1.561 2.238 0.512 0. 0. 0. 0.
Problem 74 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 747 1427 918 0 0 0 0 0
normalized size 1 1.91 1.23 0. 0. 0. 0. 0.
time (sec) N/A 2.5 4.487 0.511 0. 0. 0. 0.
Problem 75 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 1208 1968 1476 0 0 0 0 0
normalized size 1 1.63 1.22 0. 0. 0. 0. 0.
time (sec) N/A 3.545 7.323 0.52 0. 0. 0. 0.
Problem 76 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.189 0.414 0.396 0. 0. 0. 0.
Problem 77 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.279 0.305 0. 0. 0. 0.
Problem 78 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.015 0.282 0. 0. 0. 0.
Problem 79 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.933 0.625 0. 0. 0. 0.
Problem 80 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 1.058 0.506 0. 0. 0. 0.
Problem 81 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.072 11.991 0.53 0. 0. 0. 0.
Problem 82 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.935 0.418 0. 0. 0. 0.
Problem 83 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.696 0.253 0. 0. 0. 0.
Problem 84 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.593 0.321 0. 0. 0. 0.
Problem 85 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 1.609 0.549 0. 0. 0. 0.
Problem 86 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 4.214 0.509 0. 0. 0. 0.
Problem 87 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.08 36.63 0.521 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 142 8417 841 910 993 639
normalized size 1 1. 0.79 46.76 4.67 5.06 5.52 3.55
time (sec) N/A 0.124 0.106 0.225 1.2 1.364 10.017 99.387
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 120 5556 593 664 719 458
normalized size 1 1. 0.81 37.29 3.98 4.46 4.83 3.07
time (sec) N/A 0.096 0.098 0.18 1.222 1.137 7.131 21.887
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 99 3283 378 467 503 309
normalized size 1 1. 0.84 27.82 3.2 3.96 4.26 2.62
time (sec) N/A 0.079 0.054 0.162 1.173 1.092 5.218 4.757
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 69 1544 194 278 257 150
normalized size 1 1. 0.85 19.06 2.4 3.43 3.17 1.85
time (sec) N/A 0.053 0.034 0.158 1.105 1.055 4.45 1.804
Problem 92 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 80 120 95 602 0 0 0 0
normalized size 1 1.5 1.19 7.52 0. 0. 0. 0.
time (sec) N/A 0.217 0.042 0.089 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 102 105 373 178 177 231 157
normalized size 1 1.62 1.67 5.92 2.83 2.81 3.67 2.49
time (sec) N/A 0.079 0.059 0.047 1.159 1.074 2.56 1.36
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 110 777 344 455 422 329
normalized size 1 1. 0.76 5.4 2.39 3.16 2.93 2.28
time (sec) N/A 0.1 0.135 0.049 1.085 1.004 4.515 1.346
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 141 1191 578 826 656 609
normalized size 1 1. 0.81 6.81 3.3 4.72 3.75 3.48
time (sec) N/A 0.13 0.163 0.052 1.225 1.051 6.864 1.413
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 158 1607 873 1284 944 967
normalized size 1 1. 0.77 7.8 4.24 6.23 4.58 4.69
time (sec) N/A 0.157 0.229 0.051 1.396 1.072 11.107 1.378
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 557 511 0 3225 0 0 0
normalized size 1 1.53 1.4 0. 8.84 0. 0. 0.
time (sec) N/A 0.855 0.498 2.536 1.832 0. 0. 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 474 391 0 2338 0 0 0
normalized size 1 1.53 1.27 0. 7.57 0. 0. 0.
time (sec) N/A 0.646 0.335 2.177 1.753 0. 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 389 287 0 1573 0 0 0
normalized size 1 1.54 1.13 0. 6.22 0. 0. 0.
time (sec) N/A 0.553 0.221 1.991 2.033 0. 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 285 203 0 825 0 0 0
normalized size 1 1.58 1.13 0. 4.58 0. 0. 0.
time (sec) N/A 0.456 0.177 1.642 1.545 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 728 250 1186 0 0 0 0
normalized size 1 5.69 1.95 9.27 0. 0. 0. 0.
time (sec) N/A 3.416 0.604 0.069 0. 0. 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 470 314 828 562 319 432 0
normalized size 1 3.73 2.49 6.57 4.46 2.53 3.43 0.
time (sec) N/A 0.772 0.473 0.049 1.285 1.02 4.335 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 577 443 1715 1145 767 892 0
normalized size 1 2.15 1.65 6.4 4.27 2.86 3.33 0.
time (sec) N/A 0.91 0.517 0.049 1.467 1.093 7.643 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 680 585 2624 1916 1388 1544 0
normalized size 1 1.63 1.4 6.28 4.58 3.32 3.69 0.
time (sec) N/A 1.059 0.766 0.05 1.858 1.105 36.911 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 575 763 748 3538 2866 2152 0 0
normalized size 1 1.33 1.3 6.15 4.98 3.74 0. 0.
time (sec) N/A 1.227 1.11 0.049 2.184 1.164 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 29 114 30 213 63 0 0
normalized size 1 1.04 4.07 1.07 7.61 2.25 0. 0.
time (sec) N/A 0.022 0.05 0.048 1.238 0.975 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 140 15 82 53 0 0
normalized size 1 1. 9.33 1. 5.47 3.53 0. 0.
time (sec) N/A 0.014 0.014 0.045 1.22 0.953 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 133 17 80 53 0 0
normalized size 1 1. 10.23 1.31 6.15 4.08 0. 0.
time (sec) N/A 0.013 0.014 0.044 1.086 0.98 0. 0.
Problem 109 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.2 0.594 1.126 0. 0. 0. 0.
Problem 110 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.236 0.961 0. 0. 0. 0.
Problem 111 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.225 1.183 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 50 0 52 0 0 108 0 0
normalized size 1 0. 1.04 0. 0. 2.16 0. 0.
time (sec) N/A 0.09 0.102 1.187 0. 1.03 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 107 0 89 0 0 288 0 0
normalized size 1 0. 0.83 0. 0. 2.69 0. 0.
time (sec) N/A 0.073 0.165 1.283 0. 1.01 0. 0.
Problem 114 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 1.323 1.042 0. 0. 0. 0.
Problem 115 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.913 1.043 0. 0. 0. 0.
Problem 116 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.618 1.042 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 103 0 87 0 0 423 0 0
normalized size 1 0. 0.84 0. 0. 4.11 0. 0.
time (sec) N/A 0.095 0.188 1.274 0. 1.022 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 212 0 136 0 0 1187 0 0
normalized size 1 0. 0.64 0. 0. 5.6 0. 0.
time (sec) N/A 0.084 0.757 1.43 0. 1.109 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 144 1606 1195 952 1018 670
normalized size 1 1. 0.79 8.82 6.57 5.23 5.59 3.68
time (sec) N/A 0.11 0.096 0.423 1.381 1.303 8.432 162.17
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 122 1249 873 709 722 487
normalized size 1 1. 0.81 8.27 5.78 4.7 4.78 3.23
time (sec) N/A 0.097 0.09 0.24 1.361 1.163 5.739 27.501
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 98 915 590 508 527 340
normalized size 1 1. 0.82 7.62 4.92 4.23 4.39 2.83
time (sec) N/A 0.074 0.052 0.243 1.283 1.098 4.005 4.798
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 72 560 338 329 253 177
normalized size 1 1. 0.92 7.18 4.33 4.22 3.24 2.27
time (sec) N/A 0.057 0.036 0.235 1.228 1.085 2.465 1.742
Problem 123 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 83 122 88 552 0 0 0 0
normalized size 1 1.47 1.06 6.65 0. 0. 0. 0.
time (sec) N/A 0.292 0.037 0.375 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 105 111 157 252 228 253 254
normalized size 1 1.62 1.71 2.42 3.88 3.51 3.89 3.91
time (sec) N/A 0.077 0.058 0.079 1.24 1.015 1.913 1.392
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 109 355 414 495 418 356
normalized size 1 1. 0.79 2.57 3. 3.59 3.03 2.58
time (sec) N/A 0.093 0.136 0.108 1.294 1.051 3.176 1.319
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 140 579 648 869 677 639
normalized size 1 1. 0.79 3.27 3.66 4.91 3.82 3.61
time (sec) N/A 0.115 0.135 0.148 1.238 1.072 5.492 1.333
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 162 833 944 1328 947 566
normalized size 1 1. 0.78 4. 4.54 6.38 4.55 2.72
time (sec) N/A 0.144 0.201 0.207 1.398 1.085 8.269 1.445
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 377 569 523 0 3578 0 0 0
normalized size 1 1.51 1.39 0. 9.49 0. 0. 0.
time (sec) N/A 0.872 0.466 1.7 2.09 0. 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 470 402 0 2630 0 0 0
normalized size 1 1.47 1.26 0. 8.24 0. 0. 0.
time (sec) N/A 0.76 0.328 1.577 1.99 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 397 298 0 1790 0 0 0
normalized size 1 1.56 1.17 0. 7.02 0. 0. 0.
time (sec) N/A 0.621 0.221 1.503 1.719 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 291 207 0 981 0 0 0
normalized size 1 1.55 1.1 0. 5.22 0. 0. 0.
time (sec) N/A 0.493 0.174 1.273 1.584 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 749 257 0 0 0 0 0
normalized size 1 5.67 1.95 0. 0. 0. 0. 0.
time (sec) N/A 4.141 0.327 1.374 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 480 321 357 775 416 452 510
normalized size 1 3.69 2.47 2.75 5.96 3.2 3.48 3.92
time (sec) N/A 0.888 0.451 0.09 1.482 0.998 3.797 1.476
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 579 451 815 1351 846 877 0
normalized size 1 2.13 1.66 3. 4.97 3.11 3.22 0.
time (sec) N/A 1.046 0.49 0.139 1.857 1.046 6.77 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 692 598 1343 2126 1474 1561 0
normalized size 1 1.61 1.39 3.13 4.96 3.44 3.64 0.
time (sec) N/A 1.225 0.713 0.204 2.817 1.136 35.215 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 587 757 762 1943 3077 2229 0 1180
normalized size 1 1.29 1.3 3.31 5.24 3.8 0. 2.01
time (sec) N/A 1.394 1.029 0.297 2.26 1.208 0. 1.648
Problem 137 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.197 0.158 0.986 0. 0. 0. 0.
Problem 138 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.115 0.857 0. 0. 0. 0.
Problem 139 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.07 1.065 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 91 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.074 1.091 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 149 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.08 1.153 0. 0. 0. 0.
Problem 142 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.215 0.467 0.933 0. 0. 0. 0.
Problem 143 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.345 0.935 0. 0. 0. 0.
Problem 144 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.14 0.902 0. 0. 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 147 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 0.179 1.224 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 263 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.348 1.471 0. 0. 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 183 364 2374 906 1188 0 671
normalized size 1 1.07 2.13 13.88 5.3 6.95 0. 3.92
time (sec) N/A 0.183 0.784 0.833 1.295 1.093 0. 13.996
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 154 273 1840 630 871 0 479
normalized size 1 1.08 1.92 12.96 4.44 6.13 0. 3.37
time (sec) N/A 0.135 0.473 0.564 1.247 1.066 0. 5.425
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 125 194 1325 397 599 0 317
normalized size 1 1.11 1.72 11.73 3.51 5.3 0. 2.81
time (sec) N/A 0.121 0.282 0.527 1.282 1.04 0. 2.295
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 96 126 817 208 354 0 171
normalized size 1 1.14 1.5 9.73 2.48 4.21 0. 2.04
time (sec) N/A 0.091 0.146 0.51 1.157 1.074 0. 1.704
Problem 151 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 79 87 129 523 0 0 0 0
normalized size 1 1.1 1.63 6.62 0. 0. 0. 0.
time (sec) N/A 0.268 0.097 1.534 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 72 89 823 157 242 0 146
normalized size 1 0.74 0.92 8.48 1.62 2.49 0. 1.51
time (sec) N/A 0.084 0.09 0.4 1.186 1.066 0. 1.262
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 149 121 1379 311 639 0 323
normalized size 1 1.09 0.88 10.07 2.27 4.66 0. 2.36
time (sec) N/A 0.154 0.338 0.425 1.147 1.044 0. 1.273
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 178 143 1976 540 1123 0 605
normalized size 1 1.07 0.86 11.9 3.25 6.77 0. 3.64
time (sec) N/A 0.17 0.4 0.475 1.252 1.132 0. 1.293
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 207 165 2583 834 1697 0 959
normalized size 1 1.06 0.85 13.25 4.28 8.7 0. 4.92
time (sec) N/A 0.193 0.396 0.509 1.78 1.18 0. 1.371
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 542 1709 26948 2526 0 0 0
normalized size 1 1.68 5.31 83.69 7.84 0. 0. 0.
time (sec) N/A 0.772 1.551 2.524 3.86 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 427 1149 19969 1733 0 0 0
normalized size 1 1.62 4.37 75.93 6.59 0. 0. 0.
time (sec) N/A 0.626 1.027 2.135 3.735 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 308 656 10210 1052 0 0 0
normalized size 1 1.58 3.36 52.36 5.39 0. 0. 0.
time (sec) N/A 0.486 0.709 1.651 3.611 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 Yes TBD TBD TBD TBD TBD
size 131 227 269 0 0 0 0 0
normalized size 1 1.73 2.05 0. 0. 0. 0. 0.
time (sec) N/A 0.504 0.18 2.042 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 189 236 10098 606 755 0 0
normalized size 1 1.47 1.83 78.28 4.7 5.85 0. 0.
time (sec) N/A 0.182 0.371 1.365 1.255 1.115 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 411 332 17300 1214 1918 0 0
normalized size 1 1.5 1.21 63.14 4.43 7. 0. 0.
time (sec) N/A 0.423 0.53 1.968 1.473 1.219 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 730 432 25057 2025 3351 0 0
normalized size 1 1.71 1.01 58.68 4.74 7.85 0. 0.
time (sec) N/A 1.212 0.743 2.658 1.708 1.402 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 587 843 1011 33370 3021 5029 0 0
normalized size 1 1.44 1.72 56.85 5.15 8.57 0. 0.
time (sec) N/A 1.408 1.071 3.333 2.056 1.699 0. 0.
Problem 164 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 809 1203 9054 0 0 0 0 0
normalized size 1 1.49 11.19 0. 0. 0. 0. 0.
time (sec) N/A 2.404 9.696 5.133 0. 0. 0. 0.
Problem 165 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 614 915 5668 0 0 0 0 0
normalized size 1 1.49 9.23 0. 0. 0. 0. 0.
time (sec) N/A 1.737 4.111 4.456 0. 0. 0. 0.
Problem 166 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 376 700 3813 0 0 0 0 0
normalized size 1 1.86 10.14 0. 0. 0. 0. 0.
time (sec) N/A 1.183 2.971 6.112 0. 0. 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 424 2513 0 0 0 0 0
normalized size 1 2.28 13.51 0. 0. 0. 0. 0.
time (sec) N/A 0.851 1.023 2.592 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 360 524 69354 1524 1808 0 0
normalized size 1 1.96 2.85 376.92 8.28 9.83 0. 0.
time (sec) N/A 0.315 0.757 11.812 1.507 1.23 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 390 811 693 120138 3032 4618 0 0
normalized size 1 2.08 1.78 308.05 7.77 11.84 0. 0.
time (sec) N/A 0.804 1.154 18.137 1.973 1.494 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 611 1876 1003 175812 4901 8181 0 0
normalized size 1 3.07 1.64 287.74 8.02 13.39 0. 0.
time (sec) N/A 3.432 1.476 27.216 2.6 1.862 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 830 2173 1370 236754 7128 12382 0 0
normalized size 1 2.62 1.65 285.25 8.59 14.92 0. 0.
time (sec) N/A 4.675 2.251 33.085 3.309 2.45 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 96 0 0 0 0 149 0 0
normalized size 1 0. 0. 0. 0. 1.55 0. 0.
time (sec) N/A 0.1 0.08 3.688 0. 1.03 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 142 2930 836 910 993 635
normalized size 1 1. 0.79 16.28 4.64 5.06 5.52 3.53
time (sec) N/A 0.124 0.101 0.201 1.298 1.352 8.532 89.529
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 120 2191 589 664 719 460
normalized size 1 1. 0.81 14.7 3.95 4.46 4.83 3.09
time (sec) N/A 0.101 0.08 0.158 1.168 1.157 5.867 20.928
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 99 1537 375 467 503 305
normalized size 1 1. 0.84 13.03 3.18 3.96 4.26 2.58
time (sec) N/A 0.081 0.051 0.159 1.203 1.068 4.003 4.949
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 69 951 193 278 257 153
normalized size 1 1. 0.85 11.74 2.38 3.43 3.17 1.89
time (sec) N/A 0.055 0.037 0.161 1.166 1.067 2.549 2.277
Problem 177 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 81 122 95 419 0 0 0 0
normalized size 1 1.51 1.17 5.17 0. 0. 0. 0.
time (sec) N/A 0.211 0.043 0.057 0. 0. 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 101 86 520 181 177 231 151
normalized size 1 1.58 1.34 8.12 2.83 2.77 3.61 2.36
time (sec) N/A 0.077 0.059 0.051 1.116 1.017 1.831 1.328
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 128 753 344 455 422 327
normalized size 1 1. 0.89 5.23 2.39 3.16 2.93 2.27
time (sec) N/A 0.104 0.098 0.053 1.241 1.024 3.239 1.39
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 141 1012 578 826 656 609
normalized size 1 1. 0.81 5.78 3.3 4.72 3.75 3.48
time (sec) N/A 0.131 0.158 0.056 1.267 1.02 5.23 1.398
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 166 1306 873 1284 944 967
normalized size 1 1. 0.81 6.34 4.24 6.23 4.58 4.69
time (sec) N/A 0.149 0.202 0.053 1.169 1.108 7.936 1.357
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 557 512 0 3233 0 0 0
normalized size 1 1.11 1.02 0. 6.43 0. 0. 0.
time (sec) N/A 0.818 0.524 2.313 1.847 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 474 392 0 2342 0 0 0
normalized size 1 1.13 0.93 0. 5.58 0. 0. 0.
time (sec) N/A 0.648 0.355 1.958 1.69 0. 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 389 290 0 1582 0 0 0
normalized size 1 1.16 0.87 0. 4.72 0. 0. 0.
time (sec) N/A 0.556 0.239 1.943 1.761 0. 0. 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 284 203 0 836 0 0 0
normalized size 1 1.41 1. 0. 4.14 0. 0. 0.
time (sec) N/A 0.418 0.186 1.7 1.69 0. 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 719 251 906 0 0 0 0
normalized size 1 5.62 1.96 7.08 0. 0. 0. 0.
time (sec) N/A 4.423 0.276 0.067 0. 0. 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 470 314 1251 562 319 430 0
normalized size 1 3.07 2.05 8.18 3.67 2.08 2.81 0.
time (sec) N/A 0.762 0.495 0.05 1.295 1.012 3.758 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 578 444 1934 1143 767 892 0
normalized size 1 1.95 1.5 6.53 3.86 2.59 3.01 0.
time (sec) N/A 0.91 0.476 0.053 1.547 1.075 6.71 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 399 680 585 2758 1917 1388 1544 0
normalized size 1 1.7 1.47 6.91 4.8 3.48 3.87 0.
time (sec) N/A 1.074 0.79 0.055 1.781 1.302 34.789 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 498 763 748 3717 2865 2152 0 0
normalized size 1 1.53 1.5 7.46 5.75 4.32 0. 0.
time (sec) N/A 1.264 1.061 0.054 2.29 1.387 0. 0.
Problem 191 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.196 0.587 1.224 0. 0. 0. 0.
Problem 192 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.237 1.047 0. 0. 0. 0.
Problem 193 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.235 1.347 0. 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A A F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 53 0 50 69 0 109 0 0
normalized size 1 0. 0.94 1.3 0. 2.06 0. 0.
time (sec) N/A 0.086 0.064 0.286 0. 0.98 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 109 0 89 0 0 286 0 0
normalized size 1 0. 0.82 0. 0. 2.62 0. 0.
time (sec) N/A 0.072 0.158 1.425 0. 0.977 0. 0.
Problem 196 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 1.355 1.11 0. 0. 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.945 1.129 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 0.514 1.079 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A B F B F(-1) B
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 104 0 88 258 0 439 0 344
normalized size 1 0. 0.85 2.48 0. 4.22 0. 3.31
time (sec) N/A 0.089 0.125 0.16 0. 0.97 0. 1.416
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 159 0 135 0 0 1212 0 0
normalized size 1 0. 0.85 0. 0. 7.62 0. 0.
time (sec) N/A 0.08 0.431 1.582 0. 1.068 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 144 1030 1191 952 1018 666
normalized size 1 1. 0.79 5.66 6.54 5.23 5.59 3.66
time (sec) N/A 0.118 0.101 0.415 1.348 1.279 8.817 162.637
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 122 788 871 709 722 491
normalized size 1 1. 0.81 5.22 5.77 4.7 4.78 3.25
time (sec) N/A 0.098 0.074 0.243 1.373 1.181 6.026 26.115
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 98 569 589 508 527 335
normalized size 1 1. 0.82 4.74 4.91 4.23 4.39 2.79
time (sec) N/A 0.078 0.051 0.241 1.331 1.113 4.156 4.722
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 72 340 338 329 253 173
normalized size 1 1. 0.92 4.36 4.33 4.22 3.24 2.22
time (sec) N/A 0.052 0.037 0.242 1.249 1.105 2.545 1.744
Problem 205 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 83 121 87 265 0 0 0 0
normalized size 1 1.46 1.05 3.19 0. 0. 0. 0.
time (sec) N/A 0.292 0.037 0.335 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 105 89 212 252 228 253 254
normalized size 1 1.03 0.87 2.08 2.47 2.24 2.48 2.49
time (sec) N/A 0.076 0.052 0.062 1.233 1.038 1.939 1.381
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 128 300 413 495 418 350
normalized size 1 1. 0.92 2.16 2.97 3.56 3.01 2.52
time (sec) N/A 0.101 0.096 0.06 1.22 1.005 3.269 1.342
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 140 427 648 869 677 639
normalized size 1 1. 0.79 2.41 3.66 4.91 3.82 3.61
time (sec) N/A 0.121 0.12 0.059 1.311 1.078 5.36 1.389
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 162 587 944 1328 947 562
normalized size 1 1. 0.78 2.82 4.54 6.38 4.55 2.7
time (sec) N/A 0.143 0.189 0.064 1.359 1.09 8.015 1.397
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 515 569 524 0 3591 0 0 0
normalized size 1 1.1 1.02 0. 6.97 0. 0. 0.
time (sec) N/A 0.864 0.481 1.913 2.029 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 422 469 402 0 2633 0 0 0
normalized size 1 1.11 0.95 0. 6.24 0. 0. 0.
time (sec) N/A 0.741 0.324 1.569 1.954 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 397 298 0 1800 0 0 0
normalized size 1 1.16 0.87 0. 5.25 0. 0. 0.
time (sec) N/A 0.625 0.228 1.52 2.057 0. 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 291 195 0 986 0 0 0
normalized size 1 1.38 0.92 0. 4.67 0. 0. 0.
time (sec) N/A 0.504 0.174 1.257 1.675 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 740 257 0 0 0 0 0
normalized size 1 5.61 1.95 0. 0. 0. 0. 0.
time (sec) N/A 4.08 0.33 1.391 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 480 322 452 774 416 450 505
normalized size 1 3.06 2.05 2.88 4.93 2.65 2.87 3.22
time (sec) N/A 0.924 0.475 0.069 1.519 1.05 3.734 1.439
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 578 452 664 1351 846 877 0
normalized size 1 1.93 1.51 2.22 4.52 2.83 2.93 0.
time (sec) N/A 1.081 0.484 0.07 1.557 1.09 6.775 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 407 692 598 947 2128 1474 1561 0
normalized size 1 1.7 1.47 2.33 5.23 3.62 3.84 0.
time (sec) N/A 1.228 0.721 0.075 1.881 1.128 35.508 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 501 758 762 1285 3075 2229 0 1172
normalized size 1 1.51 1.52 2.56 6.14 4.45 0. 2.34
time (sec) N/A 1.429 0.988 0.078 2.398 1.191 0. 1.689
Problem 219 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.157 1.127 0. 0. 0. 0.
Problem 220 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.115 0.962 0. 0. 0. 0.
Problem 221 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.07 1.298 0. 0. 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 91 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.077 1.228 0. 0. 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 151 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.081 1.371 0. 0. 0. 0.
Problem 224 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.212 0.46 1. 0. 0. 0. 0.
Problem 225 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 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.342 1.026 0. 0. 0. 0.
Problem 226 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.143 1.024 0. 0. 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 147 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.182 1.406 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 206 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 0.355 1.622 0. 0. 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 96 0 0 0 0 149 0 0
normalized size 1 0. 0. 0. 0. 1.55 0. 0.
time (sec) N/A 0.102 0.059 0.046 0. 1.047 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 355 339 279 14719 801 1283 1528 0
normalized size 1 0.95 0.79 41.46 2.26 3.61 4.3 0.
time (sec) N/A 0.557 0.586 0.231 1.221 3.517 36.98 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 215 8605 560 895 1049 0
normalized size 1 1. 0.95 37.91 2.47 3.94 4.62 0.
time (sec) N/A 0.341 0.262 0.2 1.202 1.837 20.558 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 142 4406 354 581 688 346
normalized size 1 1. 0.95 29.37 2.36 3.87 4.59 2.31
time (sec) N/A 0.169 0.132 0.184 1.132 1.316 10.691 15.963
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 114 1809 189 321 325 171
normalized size 1 1. 1.05 16.6 1.73 2.94 2.98 1.57
time (sec) N/A 0.098 0.107 0.174 1.197 1.355 4.786 2.529
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 418 73 132 83 0
normalized size 1 1. 1. 8.04 1.4 2.54 1.6 0.
time (sec) N/A 0.027 0.008 0.149 1.168 1.304 1.166 0.
Problem 235 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 140 140 115 1400 0 0 0 0
normalized size 1 1. 0.82 10. 0. 0. 0. 0.
time (sec) N/A 0.247 0.057 0.545 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 113 105 926 186 559 0 378
normalized size 1 1.3 1.21 10.64 2.14 6.43 0. 4.34
time (sec) N/A 0.106 0.151 0.149 1.121 21.953 0. 1.313
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 169 5274 474 0 0 1110
normalized size 1 1. 0.92 28.82 2.59 0. 0. 6.07
time (sec) N/A 0.185 0.645 0.175 1.241 0. 0. 1.749
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 260 18285 1145 0 0 2765
normalized size 1 1. 0.95 66.49 4.16 0. 0. 10.05
time (sec) N/A 0.396 0.927 0.203 1.538 0. 0. 4.301
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 379 379 355 44893 2372 0 0 5516
normalized size 1 1. 0.94 118.45 6.26 0. 0. 14.55
time (sec) N/A 0.618 1.159 0.259 1.896 0. 0. 11.725
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 874 994 733 0 2889 0 0 0
normalized size 1 1.14 0.84 0. 3.31 0. 0. 0.
time (sec) N/A 1.744 0.972 2.677 1.805 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 532 649 486 0 1755 0 0 0
normalized size 1 1.22 0.91 0. 3.3 0. 0. 0.
time (sec) N/A 1.094 0.531 2.257 1.692 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 444 346 0 909 0 0 0
normalized size 1 1.64 1.28 0. 3.37 0. 0. 0.
time (sec) N/A 0.82 0.314 1.851 1.585 0. 0. 0.
Problem 243 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 125 246 214 0 0 0 0 0
normalized size 1 1.97 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.637 0.164 1.722 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 1998 431 2428 0 0 0 0
normalized size 1 7.21 1.56 8.77 0. 0. 0. 0.
time (sec) N/A 4.9 0.857 0.336 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 612 402 0 0 0 0 0
normalized size 1 3.12 2.05 0. 0. 0. 0. 0.
time (sec) N/A 1.119 0.959 2.067 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 883 595 0 0 0 0 0
normalized size 1 2.39 1.61 0. 0. 0. 0. 0.
time (sec) N/A 1.481 2.067 2.909 0. 0. 0. 0.
Problem 247 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 714 1356 894 0 0 0 0 0
normalized size 1 1.9 1.25 0. 0. 0. 0. 0.
time (sec) N/A 2.381 4.224 4.183 0. 0. 0. 0.
Problem 248 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 1159 1881 1448 0 0 0 0 0
normalized size 1 1.62 1.25 0. 0. 0. 0. 0.
time (sec) N/A 3.403 7.311 6.561 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 34 30 46 43 77 20 39
normalized size 1 0.97 0.86 1.31 1.23 2.2 0.57 1.11
time (sec) N/A 0.014 0.005 0.131 1.129 0.948 0.141 1.265
Problem 250 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.168 0.421 1.279 0. 0. 0. 0.
Problem 251 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.245 1.067 0. 0. 0. 0.
Problem 252 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 0.014 0.023 1.074 0. 0. 0. 0.
Problem 253 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.906 1.409 0. 0. 0. 0.
Problem 254 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.883 1.366 0. 0. 0. 0.
Problem 255 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 8.468 1.424 0. 0. 0. 0.
Problem 256 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.184 1.312 1.112 0. 0. 0. 0.
Problem 257 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.1 0.882 1.115 0. 0. 0. 0.
Problem 258 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 0.014 0.479 1.079 0. 0. 0. 0.
Problem 259 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 2.505 1.425 0. 0. 0. 0.
Problem 260 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 4.414 1.58 0. 0. 0. 0.
Problem 261 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 30.119 1.841 0. 0. 0. 0.
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 341 282 2438 1154 1328 1562 0
normalized size 1 0.96 0.79 6.83 3.23 3.72 4.38 0.
time (sec) N/A 0.501 0.587 0.318 1.429 3.491 35.794 0.
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 217 1783 841 938 1052 603
normalized size 1 1. 0.95 7.79 3.67 4.1 4.59 2.63
time (sec) N/A 0.324 0.257 0.266 1.343 1.915 18.946 137.852
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 142 1188 566 621 719 377
normalized size 1 1. 0.93 7.82 3.72 4.09 4.73 2.48
time (sec) N/A 0.161 0.131 0.237 1.322 1.333 10.373 14.604
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 118 656 332 373 321 196
normalized size 1 1. 1.13 6.31 3.19 3.59 3.09 1.88
time (sec) N/A 0.087 0.105 0.244 1.164 1.045 4.261 2.105
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 233 77 184 104 0
normalized size 1 1. 1. 4.31 1.43 3.41 1.93 0.
time (sec) N/A 0.027 0.023 0.224 1.23 1.019 1.145 0.
Problem 267 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 144 144 119 1143 0 0 0 0
normalized size 1 1. 0.83 7.94 0. 0. 0. 0.
time (sec) N/A 0.309 0.059 0.445 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 117 108 388 259 613 0 0
normalized size 1 1.3 1.2 4.31 2.88 6.81 0. 0.
time (sec) N/A 0.092 0.164 0.09 1.178 22.296 0. 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 172 1554 547 0 0 1148
normalized size 1 1. 0.98 8.88 3.13 0. 0. 6.56
time (sec) N/A 0.17 0.656 0.174 1.315 0. 0. 1.839
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 263 4421 1215 0 0 2788
normalized size 1 1. 0.95 15.96 4.39 0. 0. 10.06
time (sec) N/A 0.327 0.892 0.277 1.537 0. 0. 3.95
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 358 10401 2442 0 0 0
normalized size 1 1. 0.94 27.3 6.41 0. 0. 0.
time (sec) N/A 0.553 1.135 0.438 1.927 0. 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 869 973 746 0 3174 0 0 0
normalized size 1 1.12 0.86 0. 3.65 0. 0. 0.
time (sec) N/A 1.808 0.967 1.77 1.95 0. 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 542 659 497 0 1968 0 0 0
normalized size 1 1.22 0.92 0. 3.63 0. 0. 0.
time (sec) N/A 1.199 0.532 1.569 1.843 0. 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 450 351 0 1061 0 0 0
normalized size 1 1.6 1.25 0. 3.78 0. 0. 0.
time (sec) N/A 0.959 0.306 1.416 1.597 0. 0. 0.
Problem 275 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 129 252 220 0 0 0 0 0
normalized size 1 1.95 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.774 0.163 1.319 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 285 2126 0 0 0 0 0 0
normalized size 1 7.46 0. 0. 0. 0. 0. 0.
time (sec) N/A 5.846 2.2 1.629 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 620 409 0 0 0 0 0
normalized size 1 3.1 2.04 0. 0. 0. 0. 0.
time (sec) N/A 1.301 0.853 1.794 0. 0. 0. 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 899 603 0 0 0 0 0
normalized size 1 2.36 1.58 0. 0. 0. 0. 0.
time (sec) N/A 1.644 1.962 2.223 0. 0. 0. 0.
Problem 279 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 724 1369 909 0 0 0 0 0
normalized size 1 1.89 1.26 0. 0. 0. 0. 0.
time (sec) N/A 2.54 4.111 2.948 0. 0. 0. 0.
Problem 280 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 1154 1854 1453 0 0 0 0 0
normalized size 1 1.61 1.26 0. 0. 0. 0. 0.
time (sec) N/A 3.543 7.253 4.122 0. 0. 0. 0.
Problem 281 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.174 0.176 1.148 0. 0. 0. 0.
Problem 282 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.126 0.936 0. 0. 0. 0.
Problem 283 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 0.014 0.035 0.885 0. 0. 0. 0.
Problem 284 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.082 1.248 0. 0. 0. 0.
Problem 285 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.085 1.284 0. 0. 0. 0.
Problem 286 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.089 1.363 0. 0. 0. 0.
Problem 287 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.191 0.695 1.006 0. 0. 0. 0.
Problem 288 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.103 0.41 1.032 0. 0. 0. 0.
Problem 289 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 0.014 0.214 1.013 0. 0. 0. 0.
Problem 290 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.486 1.44 0. 0. 0. 0.
Problem 291 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.607 1.641 0. 0. 0. 0.
Problem 292 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.628 2.162 0. 0. 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 377 463 2576 906 1623 0 0
normalized size 1 1.03 1.27 7.06 2.48 4.45 0. 0.
time (sec) N/A 0.712 0.952 0.689 1.402 1.127 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 248 314 1967 630 1149 0 0
normalized size 1 1.05 1.33 8.33 2.67 4.87 0. 0.
time (sec) N/A 0.456 0.567 0.613 1.204 1.103 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 170 204 1389 397 753 0 402
normalized size 1 1.08 1.29 8.79 2.51 4.77 0. 2.54
time (sec) N/A 0.24 0.337 0.576 1.192 1.09 0. 77.419
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 128 124 839 208 413 0 201
normalized size 1 1.1 1.07 7.23 1.79 3.56 0. 1.73
time (sec) N/A 0.149 0.168 0.541 1.164 1.011 0. 5.784
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 57 123 80 146 0 74
normalized size 1 1. 1. 2.16 1.4 2.56 0. 1.3
time (sec) N/A 0.03 0.011 0.058 1.127 1.031 0. 1.326
Problem 298 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 148 156 150 597 0 0 0 0
normalized size 1 1.05 1.01 4.03 0. 0. 0. 0.
time (sec) N/A 0.189 0.095 0.783 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 132 117 1796 204 551 0 224
normalized size 1 1.1 0.98 14.97 1.7 4.59 0. 1.87
time (sec) N/A 0.12 0.225 0.486 1.181 18.528 0. 1.471
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 203 178 4925 516 0 0 1197
normalized size 1 1.06 0.93 25.79 2.7 0. 0. 6.27
time (sec) N/A 0.301 0.734 0.69 2.427 0. 0. 1.88
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 296 273 9645 1242 0 0 2041
normalized size 1 1.04 0.96 33.96 4.37 0. 0. 7.19
time (sec) N/A 0.536 1.343 0.925 1.636 0. 0. 4.524
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 401 366 16077 2581 0 0 5925
normalized size 1 1.03 0.94 41.33 6.63 0. 0. 15.23
time (sec) N/A 0.821 1.471 1.286 2.131 0. 0. 14.597
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 570 697 906 22955 2256 0 0 0
normalized size 1 1.22 1.59 40.27 3.96 0. 0. 0.
time (sec) N/A 1.294 1.806 3.399 3.83 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 449 472 11007 1219 0 0 0
normalized size 1 1.53 1.61 37.44 4.15 0. 0. 0.
time (sec) N/A 0.955 0.985 2.088 3.618 0. 0. 0.
Problem 305 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 137 195 217 4749 0 0 0 0
normalized size 1 1.42 1.58 34.66 0. 0. 0. 0.
time (sec) N/A 0.321 0.147 1.311 0. 0. 0. 0.
Problem 306 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 301 473 1082 0 0 0 0 0
normalized size 1 1.57 3.59 0. 0. 0. 0. 0.
time (sec) N/A 0.815 0.463 2.559 0. 0. 0. 0.
Problem 307 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 208 343 3460 0 0 0 0 0
normalized size 1 1.65 16.63 0. 0. 0. 0. 0.
time (sec) N/A 0.407 2.283 2.712 0. 0. 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 393 968 15422 0 0 0 0 0
normalized size 1 2.46 39.24 0. 0. 0. 0. 0.
time (sec) N/A 1.631 6.468 1.788 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 875 1640 0 0 0 0 0 0
normalized size 1 1.87 0. 0. 0. 0. 0. 0.
time (sec) N/A 3.481 5.68 5.47 0. 0. 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 466 1030 0 0 0 0 0 0
normalized size 1 2.21 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.112 3.036 5.28 0. 0. 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 408 378 0 0 0 0 0
normalized size 1 2.01 1.86 0. 0. 0. 0. 0.
time (sec) N/A 0.59 0.28 2.737 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 425 921 0 0 0 0 0 0
normalized size 1 2.17 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.642 1.452 3.127 0. 0. 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 302 650 0 0 0 0 0 0
normalized size 1 2.15 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.807 3.627 2.753 0. 0. 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 629 2207 0 0 0 0 0 0
normalized size 1 3.51 0. 0. 0. 0. 0. 0.
time (sec) N/A 3.745 8.247 3.369 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 [186] had the largest ratio of [ 0.75 ]

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 4 3 1. 33 0.091
2 A 4 3 1. 33 0.091
3 A 4 3 1. 33 0.091
4 A 4 3 1. 31 0.097
5 A 9 8 1.5 33 0.242
6 A 4 3 1.61 33 0.091
7 A 4 3 1. 33 0.091
8 A 4 3 1. 33 0.091
9 A 4 3 1. 33 0.091
10 A 27 13 1.52 35 0.371
11 A 23 13 1.53 35 0.371
12 A 19 13 1.53 35 0.371
13 A 15 12 1.58 33 0.364
14 B 45 23 5.72 35 0.657
15 C 24 11 3.76 35 0.314
16 C 28 11 2.17 35 0.314
17 C 32 11 1.64 35 0.314
18 C 36 11 1.34 35 0.314
19 A 0 0 0. 0 0.
20 A 0 0 0. 0 0.
21 A 0 0 0. 0 0.
22 F 0 0 N/A 0 N/A
23 F 0 0 N/A 0 N/A
24 A 0 0 0. 0 0.
25 A 0 0 0. 0 0.
26 A 0 0 0. 0 0.
27 F 0 0 N/A 0 N/A
28 F 0 0 N/A 0 N/A
29 A 4 3 1. 33 0.091
30 A 4 3 1. 33 0.091
31 A 4 3 1. 33 0.091
32 A 4 3 1. 31 0.097
33 A 9 8 1.6 33 0.242
34 A 4 3 1.05 33 0.091
35 A 4 3 1. 33 0.091
36 A 4 3 1. 33 0.091
37 A 4 3 1. 33 0.091
38 A 27 13 1.17 35 0.371
39 A 23 13 1.2 35 0.371
40 A 19 13 1.26 35 0.371
41 A 15 12 1.4 33 0.364
42 B 45 23 5.71 35 0.657
43 C 24 11 3.15 35 0.314
44 C 28 11 1.97 35 0.314
45 C 32 11 1.72 35 0.314
46 C 36 11 1.54 35 0.314
47 A 0 0 0. 0 0.
48 A 0 0 0. 0 0.
49 A 0 0 0. 0 0.
50 F 0 0 N/A 0 N/A
51 F 0 0 N/A 0 N/A
52 A 0 0 0. 0 0.
53 A 0 0 0. 0 0.
54 A 0 0 0. 0 0.
55 F 0 0 N/A 0 N/A
56 F 0 0 N/A 0 N/A
57 A 4 3 0.96 30 0.1
58 A 4 3 1. 30 0.1
59 A 4 3 1. 30 0.1
60 A 4 3 1. 28 0.107
61 A 3 2 1. 22 0.091
62 A 9 5 1. 30 0.167
63 A 4 3 1.31 30 0.1
64 A 4 3 1. 30 0.1
65 A 4 3 1. 30 0.1
66 A 4 3 1. 30 0.1
67 A 31 13 1.15 32 0.406
68 A 27 13 1.24 32 0.406
69 A 23 12 1.66 30 0.4
70 B 20 10 2.04 24 0.417
71 B 43 21 7.52 32 0.656
72 B 29 10 3.19 32 0.312
73 B 33 11 2.42 32 0.344
74 A 37 11 1.91 32 0.344
75 A 41 11 1.63 32 0.344
76 A 0 0 0. 0 0.
77 A 0 0 0. 0 0.
78 A 0 0 0. 0 0.
79 A 0 0 0. 0 0.
80 A 0 0 0. 0 0.
81 A 0 0 0. 0 0.
82 A 0 0 0. 0 0.
83 A 0 0 0. 0 0.
84 A 0 0 0. 0 0.
85 A 0 0 0. 0 0.
86 A 0 0 0. 0 0.
87 A 0 0 0. 0 0.
88 A 4 3 1. 30 0.1
89 A 4 3 1. 30 0.1
90 A 4 3 1. 30 0.1
91 A 4 3 1. 28 0.107
92 A 10 8 1.5 30 0.267
93 A 4 3 1.62 30 0.1
94 A 4 3 1. 30 0.1
95 A 4 3 1. 30 0.1
96 A 4 3 1. 30 0.1
97 A 28 13 1.53 32 0.406
98 A 24 13 1.53 32 0.406
99 A 20 13 1.54 32 0.406
100 A 16 12 1.58 30 0.4
101 B 46 23 5.69 32 0.719
102 C 26 11 3.73 32 0.344
103 C 30 11 2.15 32 0.344
104 C 34 11 1.63 32 0.344
105 C 38 11 1.33 32 0.344
106 A 1 1 1.04 29 0.034
107 A 1 1 1. 18 0.056
108 A 1 1 1. 20 0.05
109 A 0 0 0. 0 0.
110 A 0 0 0. 0 0.
111 A 0 0 0. 0 0.
112 F 0 0 N/A 0 N/A
113 F 0 0 N/A 0 N/A
114 A 0 0 0. 0 0.
115 A 0 0 0. 0 0.
116 A 0 0 0. 0 0.
117 F 0 0 N/A 0 N/A
118 F 0 0 N/A 0 N/A
119 A 4 3 1. 32 0.094
120 A 4 3 1. 32 0.094
121 A 4 3 1. 32 0.094
122 A 4 3 1. 30 0.1
123 A 10 8 1.47 32 0.25
124 A 4 3 1.62 32 0.094
125 A 4 3 1. 32 0.094
126 A 4 3 1. 32 0.094
127 A 4 3 1. 32 0.094
128 A 28 13 1.51 34 0.382
129 A 24 13 1.47 34 0.382
130 A 20 13 1.56 34 0.382
131 A 16 12 1.55 32 0.375
132 B 46 23 5.67 34 0.676
133 C 26 11 3.69 34 0.324
134 C 30 11 2.13 34 0.324
135 C 34 11 1.61 34 0.324
136 C 38 11 1.29 34 0.324
137 A 0 0 0. 0 0.
138 A 0 0 0. 0 0.
139 A 0 0 0. 0 0.
140 F 0 0 N/A 0 N/A
141 F 0 0 N/A 0 N/A
142 A 0 0 0. 0 0.
143 A 0 0 0. 0 0.
144 A 0 0 0. 0 0.
145 F 0 0 N/A 0 N/A
146 F 0 0 N/A 0 N/A
147 A 5 3 1.07 31 0.097
148 A 5 3 1.08 31 0.097
149 A 5 3 1.11 31 0.097
150 A 5 3 1.14 29 0.103
151 A 7 6 1.1 31 0.194
152 A 4 3 0.74 31 0.097
153 A 5 3 1.09 31 0.097
154 A 5 3 1.07 31 0.097
155 A 5 3 1.06 31 0.097
156 A 21 11 1.68 33 0.333
157 A 18 11 1.62 33 0.333
158 A 15 11 1.58 31 0.355
159 A 10 8 1.73 33 0.242
160 A 7 3 1.47 33 0.091
161 A 12 8 1.5 33 0.242
162 C 26 11 1.71 33 0.333
163 C 29 11 1.44 33 0.333
164 A 56 13 1.49 33 0.394
165 A 40 13 1.49 33 0.394
166 A 27 13 1.86 31 0.419
167 B 14 9 2.28 33 0.273
168 A 11 3 1.96 33 0.091
169 B 21 8 2.08 33 0.242
170 C 66 16 3.07 33 0.485
171 C 93 16 2.62 33 0.485
172 F 0 0 N/A 0 N/A
173 A 4 3 1. 30 0.1
174 A 4 3 1. 30 0.1
175 A 4 3 1. 30 0.1
176 A 4 3 1. 28 0.107
177 A 10 8 1.51 30 0.267
178 A 4 3 1.58 30 0.1
179 A 4 3 1. 30 0.1
180 A 4 3 1. 30 0.1
181 A 4 3 1. 30 0.1
182 A 28 13 1.11 32 0.406
183 A 24 13 1.13 32 0.406
184 A 20 13 1.16 32 0.406
185 A 16 12 1.41 30 0.4
186 B 47 24 5.62 32 0.75
187 C 26 11 3.07 32 0.344
188 C 30 11 1.95 32 0.344
189 C 34 11 1.7 32 0.344
190 C 38 11 1.53 32 0.344
191 A 0 0 0. 0 0.
192 A 0 0 0. 0 0.
193 A 0 0 0. 0 0.
194 F 0 0 N/A 0 N/A
195 F 0 0 N/A 0 N/A
196 A 0 0 0. 0 0.
197 A 0 0 0. 0 0.
198 A 0 0 0. 0 0.
199 F 0 0 N/A 0 N/A
200 F 0 0 N/A 0 N/A
201 A 4 3 1. 32 0.094
202 A 4 3 1. 32 0.094
203 A 4 3 1. 32 0.094
204 A 4 3 1. 30 0.1
205 A 10 8 1.46 32 0.25
206 A 4 3 1.03 32 0.094
207 A 4 3 1. 32 0.094
208 A 4 3 1. 32 0.094
209 A 4 3 1. 32 0.094
210 A 28 13 1.1 34 0.382
211 A 24 13 1.11 34 0.382
212 A 20 13 1.16 34 0.382
213 A 16 12 1.38 32 0.375
214 B 46 23 5.61 34 0.676
215 C 26 11 3.06 34 0.324
216 C 30 11 1.93 34 0.324
217 C 34 11 1.7 34 0.324
218 C 38 11 1.51 34 0.324
219 A 0 0 0. 0 0.
220 A 0 0 0. 0 0.
221 A 0 0 0. 0 0.
222 F 0 0 N/A 0 N/A
223 F 0 0 N/A 0 N/A
224 A 0 0 0. 0 0.
225 A 0 0 0. 0 0.
226 A 0 0 0. 0 0.
227 F 0 0 N/A 0 N/A
228 F 0 0 N/A 0 N/A
229 F 0 0 N/A 0 N/A
230 A 4 3 0.95 27 0.111
231 A 4 3 1. 27 0.111
232 A 4 3 1. 27 0.111
233 A 4 3 1. 25 0.12
234 A 3 2 1. 19 0.105
235 A 10 6 1. 27 0.222
236 A 4 3 1.3 27 0.111
237 A 4 3 1. 27 0.111
238 A 4 3 1. 27 0.111
239 A 4 3 1. 27 0.111
240 A 33 13 1.14 29 0.448
241 A 29 13 1.22 29 0.448
242 A 25 12 1.64 27 0.444
243 A 22 10 1.97 21 0.476
244 B 41 21 7.21 29 0.724
245 B 32 10 3.12 29 0.345
246 B 36 11 2.39 29 0.379
247 A 40 11 1.9 29 0.379
248 A 44 11 1.62 29 0.379
249 A 4 4 0.97 14 0.286
250 A 0 0 0. 0 0.
251 A 0 0 0. 0 0.
252 A 0 0 0. 0 0.
253 A 0 0 0. 0 0.
254 A 0 0 0. 0 0.
255 A 0 0 0. 0 0.
256 A 0 0 0. 0 0.
257 A 0 0 0. 0 0.
258 A 0 0 0. 0 0.
259 A 0 0 0. 0 0.
260 A 0 0 0. 0 0.
261 A 0 0 0. 0 0.
262 A 4 3 0.96 29 0.103
263 A 4 3 1. 29 0.103
264 A 4 3 1. 29 0.103
265 A 4 3 1. 27 0.111
266 A 3 2 1. 21 0.095
267 A 10 6 1. 29 0.207
268 A 4 3 1.3 29 0.103
269 A 4 3 1. 29 0.103
270 A 4 3 1. 29 0.103
271 A 4 3 1. 29 0.103
272 A 33 13 1.12 31 0.419
273 A 29 13 1.22 31 0.419
274 A 25 12 1.6 29 0.414
275 A 22 10 1.95 23 0.435
276 B 44 21 7.46 31 0.677
277 B 32 10 3.1 31 0.323
278 B 36 11 2.36 31 0.355
279 A 40 11 1.89 31 0.355
280 A 44 11 1.61 31 0.355
281 A 0 0 0. 0 0.
282 A 0 0 0. 0 0.
283 A 0 0 0. 0 0.
284 A 0 0 0. 0 0.
285 A 0 0 0. 0 0.
286 A 0 0 0. 0 0.
287 A 0 0 0. 0 0.
288 A 0 0 0. 0 0.
289 A 0 0 0. 0 0.
290 A 0 0 0. 0 0.
291 A 0 0 0. 0 0.
292 A 0 0 0. 0 0.
293 A 5 3 1.03 31 0.097
294 A 5 3 1.05 31 0.097
295 A 5 3 1.08 31 0.097
296 A 5 3 1.1 29 0.103
297 A 3 2 1. 23 0.087
298 A 9 5 1.05 31 0.161
299 A 6 4 1.1 31 0.129
300 A 5 3 1.06 31 0.097
301 A 5 3 1.04 31 0.097
302 A 5 3 1.03 31 0.097
303 A 23 11 1.22 33 0.333
304 A 20 11 1.53 31 0.355
305 A 10 8 1.42 25 0.32
306 A 16 10 1.57 33 0.303
307 A 10 7 1.65 33 0.212
308 B 29 16 2.46 33 0.485
309 A 53 13 1.87 33 0.394
310 B 35 13 2.21 31 0.419
311 B 14 10 2.01 25 0.4
312 B 25 11 2.17 33 0.333
313 B 14 9 2.15 33 0.273
314 B 49 21 3.51 33 0.636

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