[next] [prev] [prev-tail] [tail] [up]

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
  2.1.8 Mupad
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 280, 282, 283 }

B grade: { }

C grade: { }

F grade: { 169, 278, 279, 281, 284 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 49, 50, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 112, 113, 114, 115, 116, 117, 118, 119, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 282, 283, 284 }

B grade: { 52, 81, 82, 108, 111, 120, 121, 190, 202, 235, 236, 256, 280 }

C grade: { 20, 44, 45, 51, 278, 279, 281 }

F grade: { 60 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 50, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 127, 128, 129, 130, 131, 132, 133, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 281, 283, 284 }

B grade: { 32, 44, 45, 60, 61, 110, 124, 126, 134, 135, 176, 204, 237, 242, 256, 257, 278, 280 }

C grade: { 49, 51, 203, 279, 282 }

F grade: { 86, 251 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 41, 46, 47, 48, 50, 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, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 106, 107, 108, 109, 110, 113, 114, 115, 116, 117, 118, 119, 120, 121, 124, 125, 126, 127, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 162, 164, 165, 167, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 193, 198, 199, 200, 201, 202, 205, 206, 207, 208, 209, 210, 212, 215, 216, 217, 218, 219, 220, 221, 223, 224, 227, 228, 229, 230, 231, 232, 233, 234, 237, 238, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 283 }

B grade: { 32, 81, 82, 111, 112, 128, 129, 130, 146, 191, 194, 195, 204, 222, 225, 226, 241, 256, 280 }

C grade: { 102, 103, 104, 105, 166, 168, 197 }

F grade: { 8, 39, 40, 42, 43, 44, 45, 49, 51, 86, 122, 123, 147, 160, 161, 163, 176, 196, 203, 211, 213, 214, 235, 236, 239, 251, 257, 278, 279, 281, 282, 284 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 43, 46, 47, 48, 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, 83, 84, 85, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 109, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 196, 198, 200, 201, 202, 203, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 226, 229, 230, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 248, 249, 250, 251, 252, 253, 255, 258, 259, 261, 262, 263, 264, 265, 266, 267, 270, 271, 272, 273, 274, 275, 276, 277, 279, 282, 283 }

B grade: { 36, 37, 39, 40, 41, 42, 44, 45, 49, 78, 79, 80, 81, 82, 90, 103, 110, 111, 112, 127, 133, 194, 195, 199, 204, 220, 222, 227, 228, 235, 236, 244, 245, 246, 247, 254, 256, 260, 268, 269, 278, 280, 284 }

C grade: { 128, 129, 197 }

F grade: { 86, 174, 257, 281 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 74, 75, 76, 77, 78, 79, 83, 84, 85, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 125, 126, 127, 130, 132, 134, 135, 136, 137, 144, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 177, 181, 182, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 199, 200, 201, 202, 205, 206, 209, 210, 215, 216, 217, 218, 219, 221, 223, 225, 226, 227, 230, 231, 232, 240, 241, 243, 244, 245, 248, 250, 252, 253, 255, 258, 259, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 273, 274, 276, 277, 282, 283, 284 }

B grade: { 7, 8, 13, 32, 39, 41, 44, 80, 81, 82, 90, 103, 104, 131, 133, 138, 139, 140, 141, 142, 143, 175, 178, 179, 180, 183, 184, 189, 204, 220, 222, 228, 229, 233, 234, 239, 246, 247, 254, 256, 272 }

C grade: { 9, 14, 31, 50, 70, 72, 73, 203, 224 }

F grade: { 12, 86, 123, 128, 129, 145, 146, 147, 160, 162, 163, 176, 196, 197, 198, 207, 208, 211, 212, 213, 214, 235, 236, 237, 238, 242, 249, 251, 257, 265, 275, 278, 279, 280, 281 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 113, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 130, 131, 132, 133, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 165, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 202, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 226, 227, 229, 230, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 244, 248, 249, 250, 251, 252, 253, 254, 255, 258, 259, 261, 262, 263, 264, 265, 266, 267, 270, 271, 272, 273, 274, 275, 276, 277, 282, 283, 284 }

B grade: { 11, 23, 32, 67, 79, 81, 82, 110, 111, 112, 118, 127, 164, 176, 178, 179, 195, 198, 199, 220, 222, 228, 235, 236, 245, 246, 247, 256, 260, 268, 269, 280 }

C grade: { 134, 135, 136, 137, 138, 139, 140, 141, 160, 161, 166 }

F grade: { 56, 63, 86, 128, 129, 162, 163, 197, 200, 201, 203, 257, 278, 279, 281 }

2.1.8 Mupad

A grade: { 75, 145, 170, 273 }

B 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, 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, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 164, 165, 166, 167, 168, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 274, 275, 276, 277, 280, 282, 283, 284 }

C grade: { }

F grade: { 102, 103, 104, 105, 128, 129, 163, 169, 203, 249, 257, 278, 279, 281 }

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 Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 12 12 10 12 13
normalized size 1 1.00 1.00 0.81 0.75 0.75 0.62 0.75 0.81
time (sec) N/A 0.002 0.000 0.002 0.418 0.389 0.053 1.235 0.021
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 17 16 15
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.77 0.73 0.68
time (sec) N/A 0.010 0.001 0.001 0.421 0.372 0.058 1.011 0.039
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 15 16 15
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.68 0.73 0.68
time (sec) N/A 0.004 0.001 0.001 0.420 0.377 0.058 1.068 0.029
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 2 2 3 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 1.50 1.00
time (sec) N/A 0.000 0.000 0.000 0.417 0.401 0.057 1.120 0.009
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 24 27 32 46 29 23 22
normalized size 1 1.00 0.67 0.75 0.89 1.28 0.81 0.64 0.61
time (sec) N/A 0.013 0.012 0.008 0.423 0.398 0.116 1.009 0.118
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 28 25 24 33 24 34 26
normalized size 1 1.00 0.88 0.78 0.75 1.03 0.75 1.06 0.81
time (sec) N/A 0.012 0.012 0.010 0.445 0.437 0.149 1.150 0.034
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 34 66 40 34 144 42 40
normalized size 1 1.00 0.85 1.65 1.00 0.85 3.60 1.05 1.00
time (sec) N/A 0.027 0.017 0.008 0.452 0.411 0.879 1.182 0.250
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 38 35 0 120 124 34 46
normalized size 1 1.00 1.12 1.03 0.00 3.53 3.65 1.00 1.35
time (sec) N/A 0.030 0.011 0.008 0.000 0.415 0.208 1.348 0.198
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 14 14 26 14 14
normalized size 1 1.00 1.00 0.94 0.88 0.88 1.62 0.88 0.88
time (sec) N/A 0.006 0.006 0.002 0.970 0.396 0.161 1.191 0.038
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 16 17 14 14 22 14 14
normalized size 1 1.00 0.84 0.89 0.74 0.74 1.16 0.74 0.74
time (sec) N/A 0.010 0.005 0.005 0.950 0.423 0.108 1.211 0.031
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 35 36 39 71 41 80 49
normalized size 1 1.00 0.71 0.73 0.80 1.45 0.84 1.63 1.00
time (sec) N/A 0.029 0.023 0.013 0.952 0.415 0.184 1.039 0.126
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 62 69 78 81 0 81 87
normalized size 1 1.00 0.91 1.01 1.15 1.19 0.00 1.19 1.28
time (sec) N/A 0.052 0.032 0.010 0.422 0.495 0.000 1.124 0.568
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 34 44 43 32 121 43 256
normalized size 1 1.00 0.72 0.94 0.91 0.68 2.57 0.91 5.45
time (sec) N/A 0.020 0.010 0.008 0.425 0.414 0.705 1.055 0.304
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 30 41 40 30 393 40 191
normalized size 1 1.00 0.75 1.02 1.00 0.75 9.82 1.00 4.78
time (sec) N/A 0.019 0.015 0.012 0.968 0.430 1.257 1.166 0.175
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 20 19 19 19 20 25
normalized size 1 1.00 1.00 0.74 0.70 0.70 0.70 0.74 0.93
time (sec) N/A 0.018 0.005 0.005 0.950 0.409 0.128 1.159 0.046
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 40 35 34 34 41 35 46
normalized size 1 1.00 0.98 0.85 0.83 0.83 1.00 0.85 1.12
time (sec) N/A 0.020 0.009 0.008 0.948 0.421 0.134 1.192 0.206
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 34 32 31 40 31 36 33
normalized size 1 1.00 0.79 0.74 0.72 0.93 0.72 0.84 0.77
time (sec) N/A 0.130 0.021 0.010 0.950 0.417 0.158 1.046 0.043
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 64 58 72 95 73 72 33
normalized size 1 1.00 0.75 0.68 0.85 1.12 0.86 0.85 0.39
time (sec) N/A 0.041 0.019 0.000 0.973 0.428 0.155 1.308 0.002
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 64 58 72 95 73 72 33
normalized size 1 1.00 0.75 0.68 0.85 1.12 0.86 0.85 0.39
time (sec) N/A 0.041 0.010 0.003 0.977 0.425 0.152 0.993 0.205
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 67 67 73 54 53 53 70 53 47
normalized size 1 1.00 1.09 0.81 0.79 0.79 1.04 0.79 0.70
time (sec) N/A 0.036 0.056 0.003 0.951 0.425 0.193 1.016 0.179
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 17 19 18 20 20 18 18
normalized size 1 1.00 0.94 1.06 1.00 1.11 1.11 1.00 1.00
time (sec) N/A 0.004 0.010 0.001 0.415 0.430 0.061 0.992 0.220
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 33 36 42 53 201 76 94
normalized size 1 1.00 0.85 0.92 1.08 1.36 5.15 1.95 2.41
time (sec) N/A 0.013 0.019 0.003 0.431 0.431 0.651 1.237 0.392
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 57 73 68 96 597 140 192
normalized size 1 1.00 0.95 1.22 1.13 1.60 9.95 2.33 3.20
time (sec) N/A 0.021 0.030 0.007 0.431 0.441 1.235 1.219 0.601
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 10 7 11 10
normalized size 1 1.00 1.00 1.10 1.00 1.00 0.70 1.10 1.00
time (sec) N/A 0.001 0.001 0.001 0.411 0.394 0.061 1.094 0.026
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 13 10 12 12
normalized size 1 1.00 1.00 1.08 1.00 1.08 0.83 1.00 1.00
time (sec) N/A 0.002 0.003 0.000 0.418 0.396 0.127 1.059 0.118
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 18 17 14 19 18
normalized size 1 1.00 1.00 1.06 1.00 0.94 0.78 1.06 1.00
time (sec) N/A 0.010 0.003 0.003 0.415 0.397 0.099 1.191 0.035
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 30 29 29 26 30 29
normalized size 1 1.00 1.00 0.97 0.94 0.94 0.84 0.97 0.94
time (sec) N/A 0.016 0.003 0.004 0.413 0.392 0.111 0.795 0.127
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 18 16 10 20 15
normalized size 1 1.00 1.00 1.06 1.00 0.89 0.56 1.11 0.83
time (sec) N/A 0.004 0.004 0.006 0.412 0.428 0.141 1.201 0.134
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 28 26 19 30 25
normalized size 1 1.00 1.00 1.04 1.00 0.93 0.68 1.07 0.89
time (sec) N/A 0.013 0.005 0.010 0.412 0.409 0.175 1.090 0.054
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 35 43 45 63 37 52 45
normalized size 1 1.00 0.83 1.02 1.07 1.50 0.88 1.24 1.07
time (sec) N/A 0.023 0.039 0.013 0.417 0.401 0.256 1.148 0.188
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 10 20 10 10
normalized size 1 1.00 1.00 1.10 1.00 1.00 2.00 1.00 1.00
time (sec) N/A 0.002 0.002 0.007 0.952 0.400 0.110 1.174 0.037
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 22 21 18 15 23 10
normalized size 1 1.00 1.00 2.20 2.10 1.80 1.50 2.30 1.00
time (sec) N/A 0.003 0.003 0.007 0.431 0.399 0.119 0.946 0.159
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 66 58 66 63 78 57 72
normalized size 1 1.00 0.85 0.74 0.85 0.81 1.00 0.73 0.92
time (sec) N/A 0.044 0.022 0.005 0.959 0.409 0.298 1.012 0.277
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 65 54 56 68 71 57 72
normalized size 1 1.00 0.88 0.73 0.76 0.92 0.96 0.77 0.97
time (sec) N/A 0.034 0.018 0.004 0.959 0.405 0.296 1.277 0.356
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 89 92 97 300 20 104 101
normalized size 1 1.00 0.77 0.80 0.84 2.61 0.17 0.90 0.88
time (sec) N/A 0.066 0.026 0.003 0.961 0.426 0.154 1.269 0.315
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 43 35 34 63 46 39 20
normalized size 1 1.00 1.23 1.00 0.97 1.80 1.31 1.11 0.57
time (sec) N/A 0.011 0.019 0.003 0.978 0.438 0.312 1.294 0.158
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 43 36 41 58 48 39 18
normalized size 1 1.00 1.23 1.03 1.17 1.66 1.37 1.11 0.51
time (sec) N/A 0.014 0.015 0.004 0.979 0.440 0.317 1.084 0.175
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 120 111 151 163 151 95 45
normalized size 1 1.00 0.70 0.65 0.88 0.95 0.88 0.56 0.26
time (sec) N/A 0.108 0.049 0.006 0.969 0.434 0.403 1.168 0.111
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 68 56 0 132 146 74 93
normalized size 1 1.00 0.93 0.77 0.00 1.81 2.00 1.01 1.27
time (sec) N/A 0.074 0.053 0.055 0.000 0.417 0.450 1.275 0.224
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 68 56 0 132 24 74 93
normalized size 1 1.00 0.93 0.77 0.00 1.81 0.33 1.01 1.27
time (sec) N/A 0.017 0.027 0.043 0.000 0.434 0.354 1.465 0.135
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 83 54 75 91 158 81 67
normalized size 1 1.00 1.15 0.75 1.04 1.26 2.19 1.12 0.93
time (sec) N/A 0.065 0.037 0.006 0.961 0.421 0.355 1.282 0.098
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 67 60 0 123 24 101 98
normalized size 1 1.00 1.00 0.90 0.00 1.84 0.36 1.51 1.46
time (sec) N/A 0.052 0.031 0.044 0.000 0.430 0.367 1.232 0.231
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 67 60 0 87 92 51 117
normalized size 1 1.00 1.00 0.90 0.00 1.30 1.37 0.76 1.75
time (sec) N/A 0.012 0.020 0.041 0.000 0.440 0.215 1.153 0.197
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 91 386 0 297 994 248 61
normalized size 1 1.00 0.46 1.97 0.00 1.52 5.07 1.27 0.31
time (sec) N/A 0.148 0.053 0.118 0.000 0.433 1.138 1.812 0.225
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 91 386 0 275 24 252 132
normalized size 1 1.00 0.46 1.97 0.00 1.40 0.12 1.29 0.67
time (sec) N/A 0.139 0.083 0.110 0.000 0.444 0.545 1.999 0.110
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 66 65 65 83 67 88
normalized size 1 1.00 1.03 0.90 0.89 0.89 1.14 0.92 1.21
time (sec) N/A 0.100 0.017 0.009 0.949 0.417 0.254 1.124 0.091
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 122 111 112 175 14 114 140
normalized size 1 1.00 0.88 0.80 0.81 1.27 0.10 0.83 1.01
time (sec) N/A 0.192 0.039 0.156 0.955 0.437 0.566 1.306 0.210
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 115 95 107 177 14 107 135
normalized size 1 1.00 0.83 0.69 0.78 1.28 0.10 0.78 0.98
time (sec) N/A 0.281 0.026 0.194 0.975 0.430 0.278 1.250 0.129
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 339 339 209 22 0 1027 14 239 288
normalized size 1 1.00 0.62 0.06 0.00 3.03 0.04 0.71 0.85
time (sec) N/A 0.235 0.007 0.004 0.000 0.431 2.824 1.035 0.304
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 98 66 88 111 44 90 45
normalized size 1 1.00 1.01 0.68 0.91 1.14 0.45 0.93 0.46
time (sec) N/A 0.052 0.024 0.004 0.954 0.438 161.868 0.959 0.165
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 42 30 0 215 165 205 53
normalized size 1 1.00 0.15 0.11 0.00 0.78 0.60 0.75 0.19
time (sec) N/A 0.262 0.012 0.012 0.000 0.451 0.222 1.060 0.100
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 260 41 40 40 46 40 52
normalized size 1 1.00 5.31 0.84 0.82 0.82 0.94 0.82 1.06
time (sec) N/A 0.037 0.115 0.007 0.961 0.429 0.172 1.134 0.219
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 5 8 6
normalized size 1 1.00 1.00 1.12 1.00 1.00 0.62 1.00 0.75
time (sec) N/A 0.001 0.001 0.001 0.409 0.439 0.080 1.070 0.023
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 9
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.53
time (sec) N/A 0.004 0.001 0.000 0.408 0.406 0.088 1.104 0.034
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 9
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.53
time (sec) N/A 0.006 0.001 0.007 0.445 0.440 0.091 1.106 0.032
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 19 34 26 25 56 0 32
normalized size 1 1.00 0.73 1.31 1.00 0.96 2.15 0.00 1.23
time (sec) N/A 0.010 0.008 0.016 0.419 0.437 0.737 0.000 0.239
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 16 12 15 15 15 12
normalized size 1 1.00 1.00 1.07 0.80 1.00 1.00 1.00 0.80
time (sec) N/A 0.004 0.001 0.000 0.433 0.420 0.093 0.914 0.030
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 127 104 71 103 133 103 71
normalized size 1 1.00 1.00 0.82 0.56 0.81 1.05 0.81 0.56
time (sec) N/A 0.141 0.004 0.003 0.422 0.426 0.289 1.024 0.177
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 5 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.62 0.75 0.75
time (sec) N/A 0.012 0.001 0.001 0.417 0.426 0.086 1.071 0.060
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F B A A A A B
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 2 2 0 9 3 2 2 3 2
normalized size 1 1.00 0.00 4.50 1.50 1.00 1.00 1.50 1.00
time (sec) N/A 0.002 0.002 0.007 0.545 0.413 0.459 1.175 0.004
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 5 11 5 4 3 5 4
normalized size 1 1.00 1.25 2.75 1.25 1.00 0.75 1.25 1.00
time (sec) N/A 0.004 0.011 0.005 0.529 0.410 0.493 1.096 0.016
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 3 3 4 3
normalized size 1 1.00 1.00 1.33 1.00 1.00 1.00 1.33 1.00
time (sec) N/A 0.012 0.004 0.000 0.411 0.404 0.096 1.230 0.120
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 15 6 19 14 0 17
normalized size 1 1.00 1.00 0.88 0.35 1.12 0.82 0.00 1.00
time (sec) N/A 0.035 0.028 0.012 0.519 0.402 0.653 0.000 0.030
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 12 15 12 22
normalized size 1 1.00 1.00 1.08 1.00 1.00 1.25 1.00 1.83
time (sec) N/A 0.016 0.003 0.004 0.411 0.439 0.881 1.227 0.146
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 29 28 25 25 25 22 24 21
normalized size 1 1.04 1.00 0.89 0.89 0.89 0.79 0.86 0.75
time (sec) N/A 0.011 0.001 0.006 0.416 0.437 0.114 1.184 0.141
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 53 48 47 47 44 47 47
normalized size 1 1.00 0.98 0.89 0.87 0.87 0.81 0.87 0.87
time (sec) N/A 0.028 0.010 0.003 0.418 0.405 0.137 1.102 0.170
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 27 30 38 34 24 138 35
normalized size 1 1.00 0.93 1.03 1.31 1.17 0.83 4.76 1.21
time (sec) N/A 0.013 0.012 0.010 0.414 0.431 0.358 1.194 0.232
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 47 44 39 42 58 66
normalized size 1 1.00 1.00 1.02 0.96 0.85 0.91 1.26 1.43
time (sec) N/A 0.023 0.015 0.003 0.414 0.405 0.176 1.316 0.189
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 59 58 57 49 54 94 75
normalized size 1 1.00 1.00 0.98 0.97 0.83 0.92 1.59 1.27
time (sec) N/A 0.032 0.019 0.005 0.414 0.421 0.191 1.266 0.182
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 24 23 23 36 23 23
normalized size 1 1.00 1.00 1.04 1.00 1.00 1.57 1.00 1.00
time (sec) N/A 0.007 0.002 0.010 0.958 0.429 0.161 1.167 0.066
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 29 28 23 31 28 51
normalized size 1 1.00 0.96 1.07 1.04 0.85 1.15 1.04 1.89
time (sec) N/A 0.020 0.003 0.001 0.420 0.423 0.160 1.072 0.041
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 37 36 36 53 36 65
normalized size 1 1.00 1.00 0.84 0.82 0.82 1.20 0.82 1.48
time (sec) N/A 0.023 0.002 0.006 0.965 0.431 0.194 1.036 0.036
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 45 44 44 63 44 73
normalized size 1 1.00 1.00 0.83 0.81 0.81 1.17 0.81 1.35
time (sec) N/A 0.025 0.003 0.005 0.957 0.404 0.209 0.996 0.128
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 32 31 31 29 33 25
normalized size 1 1.00 1.00 1.28 1.24 1.24 1.16 1.32 1.00
time (sec) N/A 0.010 0.002 0.013 0.423 0.427 0.163 1.225 0.074
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 8 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.12
time (sec) N/A 0.006 0.029 0.027 0.000 0.441 0.000 0.000 0.000
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 5 4 4 3 4 4
normalized size 1 1.00 1.00 1.25 1.00 1.00 0.75 1.00 1.00
time (sec) N/A 0.002 0.001 0.000 0.424 0.419 0.061 1.031 0.021
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 2 2 2 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.002 0.001 0.002 0.414 0.419 0.060 0.958 0.027
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 6 3 11 5 6 5
normalized size 1 1.00 1.00 1.20 0.60 2.20 1.00 1.20 1.00
time (sec) N/A 0.002 0.002 0.001 0.429 0.434 0.065 1.045 0.029
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 16 3 17 13
normalized size 1 1.00 1.00 1.33 1.00 5.33 1.00 5.67 4.33
time (sec) N/A 0.002 0.002 0.002 0.417 0.431 0.068 1.130 0.197
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 27 26 25 37 75 26 27
normalized size 1 1.00 1.29 1.24 1.19 1.76 3.57 1.24 1.29
time (sec) N/A 0.026 0.042 0.029 0.961 0.441 0.360 1.174 0.246
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 33 7 15 17 15 17 11
normalized size 1 1.00 11.00 2.33 5.00 5.67 5.00 5.67 3.67
time (sec) N/A 0.003 0.005 0.016 0.416 0.430 0.108 1.129 0.129
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 17 9 15 19 15 17 5
normalized size 1 1.00 3.40 1.80 3.00 3.80 3.00 3.40 1.00
time (sec) N/A 0.002 0.003 0.017 0.415 0.421 0.109 1.181 0.045
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 11 10 10 10 10 10
normalized size 1 1.00 1.00 0.79 0.71 0.71 0.71 0.71 0.71
time (sec) N/A 0.005 0.002 0.000 0.432 0.435 0.063 1.197 0.032
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 17 16 16 15 16 16
normalized size 1 1.00 1.00 0.85 0.80 0.80 0.75 0.80 0.80
time (sec) N/A 0.016 0.002 0.006 0.423 0.438 0.569 1.037 0.158
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 15 11 11 11 8 11 10
normalized size 1 1.00 1.15 0.85 0.85 0.85 0.62 0.85 0.77
time (sec) N/A 0.005 0.002 0.000 0.412 0.444 0.065 0.944 0.034
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 0 0 0 0 0 35
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.80
time (sec) N/A 0.008 0.039 0.527 0.000 0.462 0.000 0.000 0.315
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 15 18 17 15 15
normalized size 1 1.00 1.00 0.84 0.79 0.95 0.89 0.79 0.79
time (sec) N/A 0.019 0.004 0.025 0.415 0.417 1.148 1.050 0.045
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 11 10 10 10 10 10
normalized size 1 1.00 1.00 0.79 0.71 0.71 0.71 0.71 0.71
time (sec) N/A 0.006 0.002 0.001 0.418 0.419 0.062 1.068 0.026
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 15 11 9 10 8 9 9
normalized size 1 1.00 1.36 1.00 0.82 0.91 0.73 0.82 0.82
time (sec) N/A 0.006 0.002 0.001 0.412 0.452 0.066 1.082 0.031
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 7 5 2 2
normalized size 1 1.00 1.00 1.50 1.00 3.50 2.50 1.00 1.00
time (sec) N/A 0.006 0.002 0.121 0.418 0.433 0.061 1.313 0.023
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 7 11 10 20 6 6
normalized size 1 1.00 1.00 0.47 0.73 0.67 1.33 0.40 0.40
time (sec) N/A 0.007 0.005 0.029 0.415 0.441 0.566 1.141 0.028
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 7 8 8
normalized size 1 1.00 1.00 1.12 1.00 1.00 0.88 1.00 1.00
time (sec) N/A 0.008 0.003 0.000 0.422 0.428 0.179 1.007 0.021
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 15 18 15 15 17 15 15
normalized size 1 1.00 0.88 1.06 0.88 0.88 1.00 0.88 0.88
time (sec) N/A 0.020 0.016 0.000 0.427 0.443 0.321 1.319 0.028
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 25 19 19 36 19 19
normalized size 1 1.00 1.00 1.00 0.76 0.76 1.44 0.76 0.76
time (sec) N/A 0.013 0.011 0.000 0.421 0.438 0.334 1.155 0.055
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 29 37 26 29 56 26 28
normalized size 1 1.00 0.71 0.90 0.63 0.71 1.37 0.63 0.68
time (sec) N/A 0.030 0.037 0.000 0.427 0.448 0.629 1.006 0.155
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 31 23 23 23 39 23 25
normalized size 1 1.00 0.94 0.70 0.70 0.70 1.18 0.70 0.76
time (sec) N/A 0.022 0.009 0.000 0.422 0.431 0.600 1.051 0.066
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 7 8 7 7 7 7 7
normalized size 1 1.00 1.00 1.14 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.009 0.002 0.013 0.418 0.429 0.175 1.243 0.019
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 14 17 14 14 17 14 14
normalized size 1 1.00 0.88 1.06 0.88 0.88 1.06 0.88 0.88
time (sec) N/A 0.021 0.013 0.013 0.428 0.429 0.319 1.215 0.026
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 25 19 19 36 19 19
normalized size 1 1.00 1.00 1.00 0.76 0.76 1.44 0.76 0.76
time (sec) N/A 0.014 0.012 0.016 0.424 0.439 0.337 1.065 0.151
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 29 37 26 29 56 26 28
normalized size 1 1.00 0.71 0.90 0.63 0.71 1.37 0.63 0.68
time (sec) N/A 0.032 0.035 0.036 0.421 0.441 0.619 1.396 0.065
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 31 23 23 25 39 23 25
normalized size 1 1.00 0.94 0.70 0.70 0.76 1.18 0.70 0.76
time (sec) N/A 0.023 0.009 0.025 0.422 0.444 0.613 1.381 0.169
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 13 2 2 2 -1
normalized size 1 1.00 1.00 1.50 6.50 1.00 1.00 1.00 -0.50
time (sec) N/A 0.011 0.012 0.000 0.569 0.412 0.614 1.393 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C B B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 13 11 12 2 -1
normalized size 1 1.00 1.00 1.50 6.50 5.50 6.00 1.00 -0.50
time (sec) N/A 0.012 0.002 0.015 0.566 0.450 0.998 1.302 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 15 20 17 13 -1
normalized size 1 1.00 1.00 1.10 1.50 2.00 1.70 1.30 -0.10
time (sec) N/A 0.025 0.002 0.013 0.553 0.432 1.452 1.276 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 12 17 17 10 11 -1
normalized size 1 1.00 1.00 0.80 1.13 1.13 0.67 0.73 -0.07
time (sec) N/A 0.038 0.013 0.023 0.563 0.430 1.085 1.131 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 17 20 18 12 16 16
normalized size 1 1.00 1.00 1.42 1.67 1.50 1.00 1.33 1.33
time (sec) N/A 0.006 0.003 0.004 0.439 0.417 0.094 0.994 0.021
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 22 12 11 11 14 11 11
normalized size 1 1.00 2.00 1.09 1.00 1.00 1.27 1.00 1.00
time (sec) N/A 0.004 0.007 0.005 0.413 0.420 0.139 0.958 0.021
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 21 11 10 10 12 10 10
normalized size 1 1.00 2.10 1.10 1.00 1.00 1.20 1.00 1.00
time (sec) N/A 0.004 0.009 0.016 0.414 0.419 0.139 0.921 0.022
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 17 11 18 19 13 16
normalized size 1 1.00 1.00 1.42 0.92 1.50 1.58 1.08 1.33
time (sec) N/A 0.004 0.009 0.003 0.416 0.451 0.133 1.232 0.234
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 19 29 11 27 29 56 28
normalized size 1 1.00 1.73 2.64 1.00 2.45 2.64 5.09 2.55
time (sec) N/A 0.004 0.010 0.006 0.419 0.455 0.334 1.341 0.190
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 38 21 26 30 17 51 12
normalized size 1 1.00 3.17 1.75 2.17 2.50 1.42 4.25 1.00
time (sec) N/A 0.004 0.014 0.020 0.422 0.460 0.533 1.163 0.117
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 19 26 28 34 28 11
normalized size 1 1.00 1.00 1.73 2.36 2.55 3.09 2.55 1.00
time (sec) N/A 0.004 0.002 0.020 0.415 0.452 0.610 1.393 0.024
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 27 24 23 46 18 18
normalized size 1 1.00 0.92 1.08 0.96 0.92 1.84 0.72 0.72
time (sec) N/A 0.009 0.027 0.019 0.418 0.422 0.227 1.197 0.209
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 29 22 22 22 37 25 24
normalized size 1 1.00 1.07 0.81 0.81 0.81 1.37 0.93 0.89
time (sec) N/A 0.010 0.011 0.019 0.417 0.417 0.468 1.195 0.147
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 27 22 22 46 18 18
normalized size 1 1.00 0.92 1.08 0.88 0.88 1.84 0.72 0.72
time (sec) N/A 0.009 0.017 0.027 0.428 0.442 0.225 1.064 0.177
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 22 22 21 36 22 24
normalized size 1 1.00 1.00 0.85 0.85 0.81 1.38 0.85 0.92
time (sec) N/A 0.011 0.007 0.028 0.420 0.445 0.482 1.043 0.025
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 18 58 10 10
normalized size 1 1.00 1.00 1.10 1.00 1.80 5.80 1.00 1.00
time (sec) N/A 0.008 0.003 0.019 0.420 0.397 1.198 0.964 0.145
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 6 5 9 9 3 30 4
normalized size 1 1.00 0.67 0.56 1.00 1.00 0.33 3.33 0.44
time (sec) N/A 0.007 0.004 0.017 0.413 0.441 0.191 1.172 0.171
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 8 9 10 10 7 8 6
normalized size 1 1.00 0.67 0.75 0.83 0.83 0.58 0.67 0.50
time (sec) N/A 0.008 0.009 0.020 0.417 0.414 0.342 0.983 0.166
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 23 11 15 18 8 10 10
normalized size 1 1.00 2.30 1.10 1.50 1.80 0.80 1.00 1.00
time (sec) N/A 0.006 0.009 0.017 0.416 0.408 0.364 1.037 0.024
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 25 11 15 17 8 10 10
normalized size 1 1.00 2.27 1.00 1.36 1.55 0.73 0.91 0.91
time (sec) N/A 0.008 0.012 0.035 0.417 0.418 0.372 1.243 0.034
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 39 0 148 133 48 45
normalized size 1 1.00 1.00 0.98 0.00 3.70 3.32 1.20 1.12
time (sec) N/A 0.040 0.038 0.028 0.000 0.441 8.694 1.083 0.383
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 44 43 0 287 0 60 58
normalized size 1 1.00 0.94 0.91 0.00 6.11 0.00 1.28 1.23
time (sec) N/A 0.056 0.062 0.068 0.000 0.469 0.000 1.194 0.260
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 47 158 117 54 105 45 52
normalized size 1 1.00 0.64 2.16 1.60 0.74 1.44 0.62 0.71
time (sec) N/A 0.043 0.121 0.018 0.439 0.433 1.128 1.178 0.137
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 12 11 12 20 11 9
normalized size 1 1.00 1.00 0.80 0.73 0.80 1.33 0.73 0.60
time (sec) N/A 0.007 0.005 0.045 0.440 0.436 0.556 0.972 0.025
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 47 158 113 54 105 45 52
normalized size 1 1.00 0.64 2.16 1.55 0.74 1.44 0.62 0.71
time (sec) N/A 0.043 0.122 0.025 0.459 0.443 1.112 0.984 0.103
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 22 14 31 14 29 21
normalized size 1 1.00 1.00 1.57 1.00 2.21 1.00 2.07 1.50
time (sec) N/A 0.008 0.003 0.009 0.415 0.443 0.094 1.187 0.168
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 101 138 485 182 0 0 -1
normalized size 1 1.00 0.97 1.33 4.66 1.75 0.00 0.00 -0.01
time (sec) N/A 0.227 0.154 0.088 1.258 0.461 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 133 237 766 212 0 0 -1
normalized size 1 1.00 0.87 1.55 5.01 1.39 0.00 0.00 -0.01
time (sec) N/A 0.407 0.332 0.102 2.589 0.448 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 20 107 21 19 23 13
normalized size 1 1.00 1.00 1.33 7.13 1.40 1.27 1.53 0.87
time (sec) N/A 0.014 0.014 0.013 0.979 0.443 0.174 1.204 0.022
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 12 11 13 26 11 13
normalized size 1 1.00 1.00 0.80 0.73 0.87 1.73 0.73 0.87
time (sec) N/A 0.008 0.006 0.064 0.414 0.423 0.520 1.019 0.044
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 14 19 10 19 14 10 18
normalized size 1 1.00 0.58 0.79 0.42 0.79 0.58 0.42 0.75
time (sec) N/A 0.025 0.005 0.009 0.415 0.431 0.070 1.119 0.044
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 6 15 9 18 12 9 6
normalized size 1 1.00 0.86 2.14 1.29 2.57 1.71 1.29 0.86
time (sec) N/A 0.021 0.007 0.024 0.416 0.420 0.075 1.115 0.064
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 22 69 25 22 104 328 22
normalized size 1 1.00 0.69 2.16 0.78 0.69 3.25 10.25 0.69
time (sec) N/A 0.011 0.020 0.038 0.430 0.438 1.042 1.328 0.024
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 20 71 24 20 107 329 20
normalized size 1 1.00 0.65 2.29 0.77 0.65 3.45 10.61 0.65
time (sec) N/A 0.008 0.018 0.033 0.433 0.423 1.030 1.179 0.017
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 50 137 60 60 308 1166 57
normalized size 1 1.00 0.60 1.63 0.71 0.71 3.67 13.88 0.68
time (sec) N/A 0.049 0.052 0.041 0.486 0.432 3.279 1.278 0.285
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 49 142 58 58 304 1165 55
normalized size 1 1.00 0.59 1.71 0.70 0.70 3.66 14.04 0.66
time (sec) N/A 0.046 0.048 0.043 0.466 0.440 3.244 1.288 0.213
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 94 225 107 115 665 2631 133
normalized size 1 1.00 0.58 1.39 0.66 0.71 4.10 16.24 0.82
time (sec) N/A 0.176 0.089 0.058 0.524 0.444 8.457 1.775 0.392
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 93 231 105 111 668 2631 132
normalized size 1 1.00 0.58 1.43 0.65 0.69 4.15 16.34 0.82
time (sec) N/A 0.171 0.076 0.054 0.515 0.437 8.474 1.519 0.348
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 169 431 186 203 1355 5079 231
normalized size 1 1.00 0.65 1.65 0.71 0.78 5.19 19.46 0.89
time (sec) N/A 0.435 0.152 0.078 0.578 0.457 22.171 1.725 0.627
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 168 441 184 202 1352 5075 232
normalized size 1 1.00 0.65 1.70 0.71 0.78 5.20 19.52 0.89
time (sec) N/A 0.416 0.128 0.072 0.572 0.452 22.235 1.745 0.640
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 17 114 13 14
normalized size 1 1.00 1.00 0.80 0.76 0.68 4.56 0.52 0.56
time (sec) N/A 0.031 0.011 0.117 0.433 0.439 12.669 1.108 0.166
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 23 22 25 112 22 22
normalized size 1 1.00 1.00 0.77 0.73 0.83 3.73 0.73 0.73
time (sec) N/A 0.032 0.010 0.089 0.422 0.436 12.701 1.178 0.276
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 55 64 55 59 100 60 67
normalized size 1 1.00 0.65 0.75 0.65 0.69 1.18 0.71 0.79
time (sec) N/A 0.066 0.077 0.053 0.433 0.432 2.100 1.139 0.230
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 14 0 0 0 240 0 0 0 -1
normalized size 1 0.00 0.00 0.00 17.14 0.00 0.00 0.00 -0.07
time (sec) N/A 0.435 0.132 1.207 0.474 0.435 0.000 0.000 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 41 16 0 18 10
normalized size 1 1.00 1.00 0.92 3.42 1.33 0.00 1.50 0.83
time (sec) N/A 0.030 0.013 0.101 0.433 0.429 0.000 1.243 0.175
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 76 143 0 312 0 98 133
normalized size 1 1.00 0.99 1.86 0.00 4.05 0.00 1.27 1.73
time (sec) N/A 0.098 0.256 0.102 0.000 0.489 0.000 1.053 0.485
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 12 13 15 13 13
normalized size 1 1.00 1.00 0.82 0.71 0.76 0.88 0.76 0.76
time (sec) N/A 0.003 0.003 0.001 0.447 0.426 0.380 1.053 0.133
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 10 13 15 13 13
normalized size 1 1.00 1.00 0.82 0.59 0.76 0.88 0.76 0.76
time (sec) N/A 0.003 0.003 0.002 0.424 0.432 0.390 1.008 0.148
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 3 2 2 2 2 2
normalized size 1 1.00 1.00 1.00 0.67 0.67 0.67 0.67 0.67
time (sec) N/A 0.001 0.000 0.001 0.413 0.399 0.038 1.033 0.007
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 8 8 8
normalized size 1 1.00 1.00 1.12 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.003 0.001 0.005 0.417 0.424 0.088 1.155 0.155
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 9 8 8 7 8 8
normalized size 1 1.00 1.00 1.00 0.89 0.89 0.78 0.89 0.89
time (sec) N/A 0.002 0.001 0.002 0.414 0.400 0.050 1.039 0.027
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 9 4 4 3 4 4
normalized size 1 1.00 1.00 2.25 1.00 1.00 0.75 1.00 1.00
time (sec) N/A 0.011 0.006 0.011 0.576 0.402 0.777 1.172 0.014
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 31 23 22 15 26 22
normalized size 1 1.00 1.00 1.29 0.96 0.92 0.62 1.08 0.92
time (sec) N/A 0.015 0.005 0.007 0.425 0.441 0.124 1.306 0.093
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.021 0.009 0.010 0.417 0.437 0.088 1.099 0.045
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 15 14 12 14 14 14
normalized size 1 1.00 1.00 1.15 1.08 0.92 1.08 1.08 1.08
time (sec) N/A 0.008 0.004 0.002 0.422 0.401 0.088 1.125 0.052
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 22 23 85 26 21 21
normalized size 1 1.00 1.00 0.71 0.74 2.74 0.84 0.68 0.68
time (sec) N/A 0.029 0.010 0.007 0.994 0.433 0.180 1.044 0.228
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 14 14 13 13 19 13 13
normalized size 1 1.00 0.67 0.67 0.62 0.62 0.90 0.62 0.62
time (sec) N/A 0.009 0.006 0.002 0.443 0.410 0.094 0.993 0.027
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 102 102 101 101 102 101 101
normalized size 1 1.00 0.63 0.63 0.62 0.62 0.63 0.62 0.62
time (sec) N/A 0.242 0.011 0.004 0.424 0.417 0.129 1.209 0.362
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-2) C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 0 18 0 216 18
normalized size 1 1.00 1.00 1.06 0.00 1.00 0.00 12.00 1.00
time (sec) N/A 0.021 0.011 0.006 0.000 0.424 0.000 1.441 0.204
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 0 14 24 237 14
normalized size 1 1.00 1.00 1.07 0.00 1.00 1.71 16.93 1.00
time (sec) N/A 0.015 0.007 0.006 0.000 0.426 0.571 1.504 0.167
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 21 10 19 0 0 19
normalized size 1 1.00 1.00 1.24 0.59 1.12 0.00 0.00 1.12
time (sec) N/A 0.019 0.012 0.043 0.589 0.415 0.000 0.000 0.131
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 43 79 0 54 0 0 -1
normalized size 1 1.00 0.67 1.23 0.00 0.84 0.00 0.00 -0.02
time (sec) N/A 0.097 0.135 0.057 0.000 0.432 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 16 16 16 12 45 15
normalized size 1 1.00 1.00 1.00 1.00 1.00 0.75 2.81 0.94
time (sec) N/A 0.032 0.047 0.004 0.429 0.403 0.117 1.185 0.196
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 11 11 17 11 11
normalized size 1 1.00 1.00 0.92 0.85 0.85 1.31 0.85 0.85
time (sec) N/A 0.007 0.002 0.007 0.430 0.416 0.098 1.050 0.026
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 9 7 8 9 7
normalized size 1 1.00 1.00 0.73 0.82 0.64 0.73 0.82 0.64
time (sec) N/A 0.003 0.002 0.008 0.421 0.433 0.199 1.230 0.017
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 7 6 6 5 6 6
normalized size 1 1.00 1.00 0.78 0.67 0.67 0.56 0.67 0.67
time (sec) N/A 0.007 0.001 0.001 0.416 0.412 0.082 1.139 0.018
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 17 18 17 17 14 24 17
normalized size 1 1.00 0.63 0.67 0.63 0.63 0.52 0.89 0.63
time (sec) N/A 0.105 0.012 0.003 0.526 0.404 0.098 1.006 0.158
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A A A A A A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 25 0 25 23 22 36 31 36 -1
normalized size 1 0.00 1.00 0.92 0.88 1.44 1.24 1.44 -0.04
time (sec) N/A 0.982 0.167 0.124 0.755 0.419 0.349 1.015 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08
time (sec) N/A 0.046 0.018 0.039 0.000 0.419 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 10 10 8 10 10
normalized size 1 1.00 1.00 1.09 0.91 0.91 0.73 0.91 0.91
time (sec) N/A 0.016 0.006 0.014 0.528 0.426 1.954 1.191 0.026
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 17 21 15 15 17 15 28
normalized size 1 1.00 0.77 0.95 0.68 0.68 0.77 0.68 1.27
time (sec) N/A 0.052 0.012 0.017 0.525 0.424 3.342 1.149 0.219
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 17 28 11 11 10 11 11
normalized size 1 1.00 0.74 1.22 0.48 0.48 0.43 0.48 0.48
time (sec) N/A 0.013 0.005 0.015 0.436 0.411 0.096 1.224 0.042
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 12 0 12 12 12
normalized size 1 1.00 1.00 0.81 0.75 0.00 0.75 0.75 0.75
time (sec) N/A 0.002 0.000 0.001 0.947 0.000 0.059 1.068 0.030
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 43 48 58 89 920 48 49
normalized size 1 1.00 0.75 0.84 1.02 1.56 16.14 0.84 0.86
time (sec) N/A 0.030 0.024 0.017 0.962 0.448 4.146 1.171 0.094
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 118 305 0 300 0 232 88
normalized size 1 1.00 1.02 2.63 0.00 2.59 0.00 2.00 0.76
time (sec) N/A 0.068 0.290 0.016 0.000 0.443 0.000 1.222 0.169
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 12 12 12 12 12
normalized size 1 1.00 1.00 0.81 0.75 0.75 0.75 0.75 0.75
time (sec) N/A 0.001 0.005 0.002 0.420 0.402 0.060 0.967 0.025
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 24 21 26 30 202 66 25
normalized size 1 1.00 0.71 0.62 0.76 0.88 5.94 1.94 0.74
time (sec) N/A 0.009 0.012 0.002 0.423 0.412 1.141 1.183 0.030
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 35 32 41 42 666 93 37
normalized size 1 1.00 0.66 0.60 0.77 0.79 12.57 1.75 0.70
time (sec) N/A 0.014 0.017 0.005 0.420 0.421 1.749 1.031 0.148
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 42 73 68 32 27
normalized size 1 1.00 1.00 0.80 1.20 2.09 1.94 0.91 0.77
time (sec) N/A 0.012 0.009 0.007 0.967 0.422 1.408 1.098 0.146
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 47 37 47 93 44 41 31
normalized size 1 1.00 1.21 0.95 1.21 2.38 1.13 1.05 0.79
time (sec) N/A 0.011 0.027 0.011 0.961 0.422 1.871 1.286 0.054
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 12 12 10 12 12
normalized size 1 1.00 1.00 0.93 0.86 0.86 0.71 0.86 0.86
time (sec) N/A 0.001 0.003 0.003 0.420 0.396 0.059 1.179 0.018
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 23 21 26 19 162 23 25
normalized size 1 1.00 0.72 0.66 0.81 0.59 5.06 0.72 0.78
time (sec) N/A 0.008 0.010 0.006 0.419 0.406 1.109 1.211 0.029
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 35 32 41 31 600 37 37
normalized size 1 1.00 0.69 0.63 0.80 0.61 11.76 0.73 0.73
time (sec) N/A 0.013 0.015 0.007 0.434 0.415 1.701 1.267 0.038
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 32 56 24 21 17
normalized size 1 1.00 1.00 0.78 1.39 2.43 1.04 0.91 0.74
time (sec) N/A 0.007 0.004 0.007 0.953 0.410 1.066 1.014 0.144
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 47 40 60 93 44 47 33
normalized size 1 1.00 1.15 0.98 1.46 2.27 1.07 1.15 0.80
time (sec) N/A 0.012 0.064 0.008 0.990 0.440 2.212 1.082 0.159
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 24 25 21 25 26 21 21
normalized size 1 1.00 1.04 1.09 0.91 1.09 1.13 0.91 0.91
time (sec) N/A 0.004 0.013 0.003 0.424 0.438 0.065 1.041 0.251
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 38 43 45 58 216 86 94
normalized size 1 1.00 0.79 0.90 0.94 1.21 4.50 1.79 1.96
time (sec) N/A 0.014 0.021 0.004 0.432 0.423 0.694 1.280 0.448
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 48 42 52 37 230 52 43
normalized size 1 1.00 0.87 0.76 0.95 0.67 4.18 0.95 0.78
time (sec) N/A 0.028 0.035 0.007 0.969 0.456 1.046 1.137 0.162
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 38 11 14 14 2 15 10
normalized size 1 1.00 3.17 0.92 1.17 1.17 0.17 1.25 0.83
time (sec) N/A 0.002 0.003 0.004 0.412 0.413 0.138 1.054 0.197
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 31 50 71 34 119 39 30
normalized size 1 1.00 0.72 1.16 1.65 0.79 2.77 0.91 0.70
time (sec) N/A 0.005 0.012 0.005 0.418 0.406 2.566 1.029 0.217
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 20 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.73
time (sec) N/A 0.011 0.014 0.017 0.446 0.420 0.310 0.928 0.245
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 18 11 18 8 11 11
normalized size 1 1.00 1.00 1.38 0.85 1.38 0.62 0.85 0.85
time (sec) N/A 0.002 0.002 0.003 0.413 0.401 0.969 1.005 0.348
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 16 18 19 6 16
normalized size 1 1.00 1.00 0.88 2.00 2.25 2.38 0.75 2.00
time (sec) N/A 0.003 0.003 0.011 0.955 0.400 0.921 1.227 0.312
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 11 25 25 8 25 10
normalized size 1 1.00 1.00 0.79 1.79 1.79 0.57 1.79 0.71
time (sec) N/A 0.006 0.002 0.011 0.438 0.402 0.919 1.191 0.186
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 14 0 22 0 22 18
normalized size 1 1.00 1.00 0.78 0.00 1.22 0.00 1.22 1.00
time (sec) N/A 0.016 0.003 0.012 0.000 0.415 0.000 0.941 0.359
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C C F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 28 23 17 55 0 0 32
normalized size 1 1.00 0.93 0.77 0.57 1.83 0.00 0.00 1.07
time (sec) N/A 0.021 0.004 0.019 1.011 0.414 0.000 0.000 0.538
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 16 15 14 17 0 35 14
normalized size 1 1.00 0.94 0.88 0.82 1.00 0.00 2.06 0.82
time (sec) N/A 0.009 0.007 0.005 0.954 0.403 0.000 1.197 0.151
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 14 2 14 2
normalized size 1 1.00 1.00 1.50 1.00 7.00 1.00 7.00 1.00
time (sec) N/A 0.001 0.003 0.003 0.949 0.392 0.140 1.077 0.028
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 30 15 14 14 17 0 14
normalized size 1 1.00 1.50 0.75 0.70 0.70 0.85 0.00 0.70
time (sec) N/A 0.913 0.018 0.005 0.416 0.404 1.165 0.000 0.345
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 30 20 19 0 20
normalized size 1 1.00 1.00 0.88 1.25 0.83 0.79 0.00 0.83
time (sec) N/A 0.324 0.167 0.005 1.191 0.409 1.338 0.000 0.310
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 71 24 31 29 8 31 23
normalized size 1 1.00 2.63 0.89 1.15 1.07 0.30 1.15 0.85
time (sec) N/A 0.008 0.008 0.003 0.416 0.407 0.178 1.083 0.687
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 127 25 0 216 51 0 -1
normalized size 1 1.00 1.55 0.30 0.00 2.63 0.62 0.00 -0.01
time (sec) N/A 0.074 0.070 0.079 0.000 0.458 1.316 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 39 40 29 48 10 169
normalized size 1 1.00 1.00 3.25 3.33 2.42 4.00 0.83 14.08
time (sec) N/A 0.053 0.022 0.011 0.985 0.425 154.693 1.294 0.061
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 33 36 85 66 34 32
normalized size 1 1.00 1.00 0.82 0.90 2.12 1.65 0.85 0.80
time (sec) N/A 0.011 0.010 0.005 0.422 0.427 1.145 1.146 0.479
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 66 57 41 42 38 40
normalized size 1 1.00 1.00 1.43 1.24 0.89 0.91 0.83 0.87
time (sec) N/A 0.034 0.011 0.011 0.975 0.422 1.249 1.020 0.665
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 39 52 40 52 0 40 51
normalized size 1 1.00 1.05 1.41 1.08 1.41 0.00 1.08 1.38
time (sec) N/A 0.018 0.019 0.008 0.961 0.433 0.000 1.307 0.105
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 65 74 77 97 0 51 72
normalized size 1 1.00 1.07 1.21 1.26 1.59 0.00 0.84 1.18
time (sec) N/A 0.024 0.030 0.007 0.969 0.445 0.000 1.739 0.246
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 20 19 19 29 19 19
normalized size 1 1.00 1.00 0.87 0.83 0.83 1.26 0.83 0.83
time (sec) N/A 0.004 0.004 0.004 0.415 0.426 0.450 1.041 0.289
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 25 24 24 36 16 24
normalized size 1 1.00 1.00 0.89 0.86 0.86 1.29 0.57 0.86
time (sec) N/A 0.005 0.005 0.006 0.416 0.410 0.588 1.216 0.272
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 47 0 152 0 60 50
normalized size 1 1.00 1.00 0.84 0.00 2.71 0.00 1.07 0.89
time (sec) N/A 0.040 0.023 0.016 0.000 0.421 0.000 1.216 0.979
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 82 70 68 190 0 72 67
normalized size 1 1.00 1.01 0.86 0.84 2.35 0.00 0.89 0.83
time (sec) N/A 0.028 0.102 0.008 0.422 0.438 0.000 1.343 0.237
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 49 56 0 58 0 45 54
normalized size 1 1.00 1.11 1.27 0.00 1.32 0.00 1.02 1.23
time (sec) N/A 0.039 0.008 0.017 0.000 0.409 0.000 1.150 0.400
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 71 78 0 106 0 45 72
normalized size 1 1.00 1.04 1.15 0.00 1.56 0.00 0.66 1.06
time (sec) N/A 0.049 0.025 0.016 0.000 0.441 0.000 1.250 0.442
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 11 22 10 11 11
normalized size 1 1.00 1.00 0.92 0.85 1.69 0.77 0.85 0.85
time (sec) N/A 0.017 0.006 0.014 0.423 0.423 0.321 1.036 0.089
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 15 11 17 15 11
normalized size 1 1.00 1.00 0.84 0.79 0.58 0.89 0.79 0.58
time (sec) N/A 0.006 0.001 0.013 0.437 0.417 0.099 1.193 0.165
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 21 20 12 10 12 12
normalized size 1 1.00 1.00 1.75 1.67 1.00 0.83 1.00 1.00
time (sec) N/A 0.009 0.026 0.017 0.437 0.435 0.179 1.329 0.083
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 11 10 10 7 10 10
normalized size 1 1.00 1.00 1.00 0.91 0.91 0.64 0.91 0.91
time (sec) N/A 0.025 0.008 0.019 0.576 0.412 0.272 0.991 0.216
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 24 23 22 20 24 22
normalized size 1 1.00 1.00 0.89 0.85 0.81 0.74 0.89 0.81
time (sec) N/A 0.018 0.005 0.004 0.416 0.399 0.135 1.138 0.154
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 21 16 20 50 165 66 15
normalized size 1 1.00 0.64 0.48 0.61 1.52 5.00 2.00 0.45
time (sec) N/A 0.003 0.006 0.004 0.425 0.422 4.659 1.401 0.299
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 10 9 9 7 11 8
normalized size 1 1.00 1.00 1.11 1.00 1.00 0.78 1.22 0.89
time (sec) N/A 0.001 0.002 0.005 0.420 0.410 0.092 1.163 0.197
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 14 28 28 39 32 13
normalized size 1 1.00 1.00 0.74 1.47 1.47 2.05 1.68 0.68
time (sec) N/A 0.005 0.003 0.004 0.974 0.423 0.311 1.267 0.075
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 16 13 11 14 15 11 12
normalized size 1 1.00 0.84 0.68 0.58 0.74 0.79 0.58 0.63
time (sec) N/A 0.003 0.003 0.004 0.416 0.400 1.094 1.115 0.024
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 112 85 86 104 153 103 119
normalized size 1 1.00 1.27 0.97 0.98 1.18 1.74 1.17 1.35
time (sec) N/A 0.039 0.042 0.013 0.972 0.408 1.693 2.430 0.181
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 10 34 9 7 17 9
normalized size 1 1.00 1.00 1.11 3.78 1.00 0.78 1.89 1.00
time (sec) N/A 0.011 0.002 0.014 0.429 0.403 0.190 1.186 0.021
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 10 34 9 7 17 9
normalized size 1 1.00 1.00 1.11 3.78 1.00 0.78 1.89 1.00
time (sec) N/A 0.011 0.002 0.014 0.432 0.409 0.188 1.198 0.026
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 7 26 7 13 7
normalized size 1 1.00 1.00 0.89 0.78 2.89 0.78 1.44 0.78
time (sec) N/A 0.004 0.005 0.015 0.431 0.433 0.153 1.180 0.186
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 16 13 26 22 23 13
normalized size 1 1.00 1.00 1.33 1.08 2.17 1.83 1.92 1.08
time (sec) N/A 0.033 0.087 0.025 0.425 0.447 0.392 1.371 0.321
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 23 22 32 75 22 22
normalized size 1 1.00 1.00 0.82 0.79 1.14 2.68 0.79 0.79
time (sec) N/A 0.023 0.016 0.018 0.470 0.445 2.200 1.437 0.332
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 16 15 13 15 15 14
normalized size 1 1.00 1.00 0.76 0.71 0.62 0.71 0.71 0.67
time (sec) N/A 0.008 0.003 0.000 0.948 0.428 0.249 1.469 0.019
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 16 15 13 15 19 15
normalized size 1 1.00 1.00 0.76 0.71 0.62 0.71 0.90 0.71
time (sec) N/A 0.008 0.003 0.007 0.958 0.429 0.251 1.424 0.048
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 22 23 22 19 26 22 41
normalized size 1 1.00 0.96 1.00 0.96 0.83 1.13 0.96 1.78
time (sec) N/A 0.019 0.003 0.005 0.415 0.415 0.154 1.356 0.144
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 15 14 28 32 14 14
normalized size 1 1.00 1.00 0.83 0.78 1.56 1.78 0.78 0.78
time (sec) N/A 0.016 0.019 0.054 0.418 0.436 0.536 1.037 0.026
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 15 14 28 32 14 14
normalized size 1 1.00 1.00 0.83 0.78 1.56 1.78 0.78 0.78
time (sec) N/A 0.013 0.013 0.046 0.419 0.438 0.538 1.030 0.024
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 40 17 0 24 0 22 16
normalized size 1 1.00 3.33 1.42 0.00 2.00 0.00 1.83 1.33
time (sec) N/A 0.006 0.012 0.058 0.000 0.417 0.000 1.160 0.139
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 42 23 0 26 0 35 18
normalized size 1 1.00 3.00 1.64 0.00 1.86 0.00 2.50 1.29
time (sec) N/A 0.009 0.013 0.068 0.000 0.431 0.000 1.196 0.136
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 16 22 9 10 0 14 10
normalized size 1 1.00 1.33 1.83 0.75 0.83 0.00 1.17 0.83
time (sec) N/A 0.007 0.007 0.052 1.164 0.422 0.000 1.039 0.145
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 18 22 20 18 0 23 12
normalized size 1 1.00 1.29 1.57 1.43 1.29 0.00 1.64 0.86
time (sec) N/A 0.009 0.008 0.062 0.972 0.419 0.000 1.073 0.033
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 17 14 0 13 63 13 21
normalized size 1 1.00 0.81 0.67 0.00 0.62 3.00 0.62 1.00
time (sec) N/A 0.008 0.019 0.005 0.000 0.404 0.385 1.035 0.193
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 31 18 18 20 19 18
normalized size 1 1.00 1.00 1.29 0.75 0.75 0.83 0.79 0.75
time (sec) N/A 0.010 0.010 0.006 0.423 0.409 0.139 1.215 0.106
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 33 16 7 16 8
normalized size 1 1.00 1.00 0.75 2.75 1.33 0.58 1.33 0.67
time (sec) N/A 0.004 0.002 0.007 0.415 0.416 0.897 1.087 0.037
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 92 24 24 0 24 24
normalized size 1 1.00 1.00 2.88 0.75 0.75 0.00 0.75 0.75
time (sec) N/A 0.012 0.012 0.029 0.420 0.423 0.000 1.171 0.030
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 27 26 32 31 26 26
normalized size 1 1.00 1.00 0.82 0.79 0.97 0.94 0.79 0.79
time (sec) N/A 0.009 0.013 0.009 0.971 0.439 0.138 1.035 0.060
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 11 3 4 3
normalized size 1 1.00 1.00 1.33 1.00 3.67 1.00 1.33 1.00
time (sec) N/A 0.002 0.002 0.000 0.413 0.438 0.065 1.164 0.025
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 18 14 16 48 19 34 10
normalized size 1 1.00 1.50 1.17 1.33 4.00 1.58 2.83 0.83
time (sec) N/A 0.010 0.003 0.000 0.971 0.412 0.073 1.151 0.028
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 18 7 11 3
normalized size 1 1.00 1.00 1.33 1.00 6.00 2.33 3.67 1.00
time (sec) N/A 0.003 0.002 0.001 0.423 0.433 0.130 1.086 0.011
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 18 12 12 3
normalized size 1 1.00 1.00 1.33 1.00 6.00 4.00 4.00 1.00
time (sec) N/A 0.003 0.002 0.004 0.417 0.425 0.320 0.935 0.137
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 8 8 8
normalized size 1 1.00 1.00 1.12 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.002 0.001 0.009 0.415 0.409 0.088 1.028 0.165
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 29 32 10 10 0 11 -1
normalized size 1 1.00 0.59 0.65 0.20 0.20 0.00 0.22 -0.02
time (sec) N/A 0.015 0.009 0.008 0.986 0.398 0.000 1.120 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 17 13 12 12 12 13 10
normalized size 1 1.00 1.06 0.81 0.75 0.75 0.75 0.81 0.62
time (sec) N/A 0.006 0.003 0.003 0.419 0.402 0.076 1.000 0.145
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 36 0 0 30 0 40 32
normalized size 1 1.00 0.90 0.00 0.00 0.75 0.00 1.00 0.80
time (sec) N/A 0.016 0.010 0.009 0.000 0.412 0.000 0.938 0.042
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 67 63 58 55 109 57 69
normalized size 1 1.00 0.52 0.49 0.45 0.43 0.85 0.45 0.54
time (sec) N/A 0.190 0.173 0.020 0.467 0.429 4.949 1.100 0.278
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 18 20 17 17 27 15 17
normalized size 1 1.00 0.60 0.67 0.57 0.57 0.90 0.50 0.57
time (sec) N/A 0.037 0.027 0.016 0.435 0.437 0.828 0.938 0.171
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 9 8 7 17 17 7 7
normalized size 1 1.00 0.82 0.73 0.64 1.55 1.55 0.64 0.64
time (sec) N/A 0.001 0.001 0.000 0.414 0.410 0.107 1.079 0.066
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 33 32 32 41 33 46
normalized size 1 1.00 1.00 0.82 0.80 0.80 1.02 0.82 1.15
time (sec) N/A 0.021 0.009 0.003 0.962 0.431 0.133 1.072 0.115
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 23 22 17 17 15 18 6
normalized size 1 1.00 2.88 2.75 2.12 2.12 1.88 2.25 0.75
time (sec) N/A 0.003 0.003 0.003 0.414 0.428 0.097 1.013 0.067
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 194 1210 0 0 0 0 -1
normalized size 1 1.00 0.85 5.33 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.197 0.275 0.029 0.000 0.437 0.000 0.000 0.000
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 30 26 25 24 37 25 51
normalized size 1 1.00 1.25 1.08 1.04 1.00 1.54 1.04 2.12
time (sec) N/A 0.009 0.003 0.004 0.418 0.434 1.200 1.038 0.443
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 71 54 57 69 73 58 70
normalized size 1 1.00 0.91 0.69 0.73 0.88 0.94 0.74 0.90
time (sec) N/A 0.046 0.023 0.004 0.979 0.427 0.303 0.949 0.272
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 14 2 14 2
normalized size 1 1.00 1.00 1.50 1.00 7.00 1.00 7.00 1.00
time (sec) N/A 0.001 0.003 0.000 0.956 0.437 0.141 0.928 0.002
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 21 20 25 24 25 20
normalized size 1 1.00 1.00 0.78 0.74 0.93 0.89 0.93 0.74
time (sec) N/A 0.004 0.007 0.003 0.961 0.444 0.209 0.994 0.048
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 16 8 11 10
normalized size 1 1.00 1.00 1.10 1.00 1.60 0.80 1.10 1.00
time (sec) N/A 0.004 0.003 0.008 0.415 0.413 0.078 0.948 0.031
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 14 14 12 14 14
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.75 0.88 0.88
time (sec) N/A 0.004 0.003 0.002 0.951 0.442 0.130 1.073 0.220
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 29 34 33 24 32 38 24
normalized size 1 1.00 0.72 0.85 0.82 0.60 0.80 0.95 0.60
time (sec) N/A 0.023 0.012 0.003 1.008 0.454 0.351 0.856 0.029
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 29 14 13 29 0 15 9
normalized size 1 1.00 1.38 0.67 0.62 1.38 0.00 0.71 0.43
time (sec) N/A 0.115 0.030 0.126 0.424 0.474 0.000 0.958 0.810
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 11 10 10 10 16 10
normalized size 1 1.00 1.00 0.79 0.71 0.71 0.71 1.14 0.71
time (sec) N/A 0.006 0.002 0.024 0.417 0.452 0.067 1.156 0.002
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 16 18 14 18 16
normalized size 1 1.00 1.00 0.94 0.89 1.00 0.78 1.00 0.89
time (sec) N/A 0.014 0.004 0.008 0.423 0.414 0.120 1.106 0.152
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 7 6 16 7 16 6
normalized size 1 1.00 1.00 0.70 0.60 1.60 0.70 1.60 0.60
time (sec) N/A 0.001 0.005 0.005 0.967 0.408 0.151 1.074 0.038
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 5 4 14 3 14 4
normalized size 1 1.00 1.00 0.83 0.67 2.33 0.50 2.33 0.67
time (sec) N/A 0.001 0.004 0.003 0.965 0.423 0.143 1.067 0.029
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 17 16 16 22 16 16
normalized size 1 1.00 1.00 0.81 0.76 0.76 1.05 0.76 0.76
time (sec) N/A 0.017 0.009 0.005 0.951 0.391 0.117 1.053 0.142
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 51 42 47 73 46 46 45
normalized size 1 1.00 0.96 0.79 0.89 1.38 0.87 0.87 0.85
time (sec) N/A 0.031 0.021 0.013 0.957 0.407 0.176 1.120 0.061
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 66 41 41 762 44 46
normalized size 1 1.00 1.00 1.35 0.84 0.84 15.55 0.90 0.94
time (sec) N/A 0.078 0.027 0.009 0.425 0.448 86.228 1.152 0.210
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07
time (sec) N/A 0.004 0.238 0.046 0.000 0.422 0.000 0.000 0.000
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 28 27 44 26 27 27
normalized size 1 1.00 1.00 1.00 0.96 1.57 0.93 0.96 0.96
time (sec) N/A 0.211 0.174 0.045 0.560 0.428 0.475 1.113 0.338
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 136 127 160 145 0 114 140
normalized size 1 1.00 0.68 0.64 0.80 0.73 0.00 0.57 0.70
time (sec) N/A 0.101 0.236 0.102 0.540 0.445 0.000 1.006 1.111
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 16 15 20 15 15 15
normalized size 1 1.00 1.00 0.89 0.83 1.11 0.83 0.83 0.83
time (sec) N/A 0.005 0.007 0.008 0.419 0.413 0.310 1.067 0.155
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 22 21 37 36 37 21
normalized size 1 1.00 1.00 0.92 0.88 1.54 1.50 1.54 0.88
time (sec) N/A 0.008 0.030 0.005 0.418 0.408 0.514 1.153 0.066
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F C B F B F F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 94 0 5137 1197351 0 179 0 0 -1
normalized size 1 0.00 54.65 12737.78 0.00 1.90 0.00 0.00 -0.01
time (sec) N/A 1.840 6.443 1.432 0.000 0.548 0.000 0.000 0.000
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F C C F A F F F
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 142 0 630 352 0 223 0 0 -1
normalized size 1 0.00 4.44 2.48 0.00 1.57 0.00 0.00 -0.01
time (sec) N/A 3.324 1.569 0.315 0.000 0.564 0.000 0.000 0.000
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 97 1088 171 162 0 76 172
normalized size 1 1.00 4.62 51.81 8.14 7.71 0.00 3.62 8.19
time (sec) N/A 0.285 1.351 0.216 0.734 0.434 0.000 1.375 2.373
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F C A F F F F F
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 4030 0 3168 4640 0 0 0 0 -1
normalized size 1 0.00 0.79 1.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.025 6.043 1.158 0.000 0.491 0.000 0.000 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 181 1356 0 269 330 472 265
normalized size 1 1.00 0.55 4.11 0.00 0.82 1.00 1.43 0.80
time (sec) N/A 0.872 0.145 0.224 0.000 0.444 21.736 1.096 0.767
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 5 4 4 5 4 4
normalized size 1 1.00 1.00 1.25 1.00 1.00 1.25 1.00 1.00
time (sec) N/A 0.012 0.001 0.030 0.442 0.416 0.758 1.089 0.020
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A A F B A A B
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 71 0 71 102 0 137 76 94 103
normalized size 1 0.00 1.00 1.44 0.00 1.93 1.07 1.32 1.45
time (sec) N/A 0.754 0.039 0.034 0.000 0.435 0.221 1.292 0.280

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 [50] had the largest ratio of [1.429]

Table 2.1:Rubi 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 1 0 1.00 6 0.000
2 A 3 2 1.00 13 0.154
3 A 2 1 1.00 10 0.100
4 A 1 1 1.00 3 0.333
5 A 2 1 1.00 11 0.091
6 A 2 1 1.00 14 0.071
7 A 2 1 1.00 20 0.050
8 A 2 2 1.00 12 0.167
9 A 3 3 1.00 13 0.231
10 A 2 2 1.00 10 0.200
11 A 6 5 1.00 13 0.385
12 A 2 1 1.00 23 0.043
13 A 4 3 1.00 20 0.150
14 A 3 2 1.00 22 0.091
15 A 5 4 1.00 14 0.286
16 A 6 6 1.00 9 0.667
17 A 3 2 1.00 16 0.125
18 A 9 6 1.00 7 0.857
19 A 9 6 1.00 11 0.546
20 A 9 5 1.00 10 0.500
21 A 1 1 1.00 7 0.143
22 A 2 1 1.00 9 0.111
23 A 2 1 1.00 11 0.091
24 A 1 1 1.00 7 0.143
25 A 1 1 1.00 7 0.143
26 A 2 1 1.00 9 0.111
27 A 2 1 1.00 11 0.091
28 A 3 3 1.00 11 0.273
29 A 2 1 1.00 11 0.091
30 A 2 1 1.00 11 0.091
31 A 1 1 1.00 9 0.111
32 A 1 1 1.00 11 0.091
33 A 6 6 1.00 9 0.667
34 A 6 6 1.00 7 0.857
35 A 6 6 1.00 11 0.546
36 A 3 3 1.00 7 0.429
37 A 3 3 1.00 9 0.333
38 A 9 6 1.00 9 0.667
39 A 3 3 1.00 12 0.250
40 A 3 3 1.00 12 0.250
41 A 3 2 1.00 12 0.167
42 A 3 2 1.00 12 0.167
43 A 3 2 1.00 12 0.167
44 A 9 5 1.00 10 0.500
45 A 9 5 1.00 12 0.417
46 A 10 6 1.00 7 0.857
47 A 10 6 1.00 7 0.857
48 A 10 6 1.00 7 0.857
49 A 19 6 1.00 7 0.857
50 A 13 10 1.00 7 1.429
51 A 19 6 1.00 12 0.500
52 A 7 7 1.00 11 0.636
53 A 1 1 1.00 2 0.500
54 A 1 1 1.00 4 0.250
55 A 1 1 1.00 6 0.167
56 A 1 1 1.00 6 0.167
57 A 2 2 1.00 4 0.500
58 A 11 2 1.00 8 0.250
59 A 2 2 1.00 8 0.250
60 A 1 1 1.00 4 0.250
61 A 2 2 1.00 6 0.333
62 A 2 2 1.00 8 0.250
63 A 3 3 1.00 8 0.375
64 A 2 2 1.00 8 0.250
65 A 2 1 1.04 8 0.125
66 A 4 4 1.00 10 0.400
67 A 2 2 1.00 10 0.200
68 A 3 2 1.00 8 0.250
69 A 3 2 1.00 10 0.200
70 A 3 3 1.00 8 0.375
71 A 3 3 1.00 10 0.300
72 A 4 3 1.00 12 0.250
73 A 4 3 1.00 12 0.250
74 A 3 3 1.00 10 0.300
75 A 0 0 0.00 0 0.000
76 A 1 1 1.00 2 0.500
77 A 1 1 1.00 2 0.500
78 A 1 1 1.00 2 0.500
79 A 1 1 1.00 2 0.500
80 A 2 2 1.00 6 0.333
81 A 1 1 1.00 2 0.500
82 A 1 1 1.00 2 0.500
83 A 2 2 1.00 4 0.500
84 A 3 3 1.00 8 0.375
85 A 2 1 1.00 4 0.250
86 A 1 1 1.00 4 0.250
87 A 3 2 1.00 11 0.182
88 A 2 2 1.00 4 0.500
89 A 2 1 1.00 4 0.250
90 A 2 2 1.00 4 0.500
91 A 1 1 1.00 7 0.143
92 A 2 2 1.00 4 0.500
93 A 3 2 1.00 6 0.333
94 A 2 2 1.00 6 0.333
95 A 4 4 1.00 8 0.500
96 A 3 3 1.00 6 0.500
97 A 2 2 1.00 4 0.500
98 A 3 2 1.00 6 0.333
99 A 2 2 1.00 6 0.333
100 A 4 4 1.00 8 0.500
101 A 3 3 1.00 6 0.500
102 A 1 1 1.00 6 0.167
103 A 1 1 1.00 6 0.167
104 A 2 2 1.00 6 0.333
105 A 3 2 1.00 8 0.250
106 A 2 2 1.00 4 0.500
107 A 1 1 1.00 6 0.167
108 A 1 1 1.00 6 0.167
109 A 1 1 1.00 6 0.167
110 A 1 1 1.00 6 0.167
111 A 1 1 1.00 6 0.167
112 A 1 1 1.00 6 0.167
113 A 2 2 1.00 8 0.250
114 A 2 1 1.00 8 0.125
115 A 2 2 1.00 8 0.250
116 A 2 1 1.00 8 0.125
117 A 2 2 1.00 8 0.250
118 A 1 1 1.00 6 0.167
119 A 1 1 1.00 8 0.125
120 A 1 1 1.00 6 0.167
121 A 1 1 1.00 8 0.125
122 A 3 3 1.00 8 0.375
123 A 3 3 1.00 10 0.300
124 A 4 4 1.00 12 0.333
125 A 1 1 1.00 7 0.143
126 A 4 4 1.00 12 0.333
127 A 2 2 1.00 4 0.500
128 A 17 8 1.00 8 1.000
129 A 34 9 1.00 8 1.125
130 A 3 3 1.00 6 0.500
131 A 1 1 1.00 9 0.111
132 A 3 3 1.00 9 0.333
133 A 3 2 1.00 9 0.222
134 A 1 1 1.00 6 0.167
135 A 1 1 1.00 6 0.167
136 A 4 3 1.00 7 0.429
137 A 4 3 1.00 7 0.429
138 A 11 5 1.00 9 0.556
139 A 11 5 1.00 9 0.556
140 A 25 5 1.00 9 0.556
141 A 25 5 1.00 9 0.556
142 A 5 2 1.00 11 0.182
143 A 5 2 1.00 11 0.182
144 A 6 4 1.00 10 0.400
145 A 0 0 0.00 0 0.000
146 A 4 3 1.00 9 0.333
147 A 5 5 1.00 15 0.333
148 A 1 1 1.00 3 0.333
149 A 1 1 1.00 3 0.333
150 A 1 1 1.00 3 0.333
151 A 1 1 1.00 3 0.333
152 A 1 1 1.00 5 0.200
153 A 1 1 1.00 9 0.111
154 A 4 4 1.00 11 0.364
155 A 3 2 1.00 13 0.154
156 A 2 2 1.00 9 0.222
157 A 2 2 1.00 18 0.111
158 A 2 2 1.00 7 0.286
159 A 21 2 1.00 7 0.286
160 A 2 2 1.00 9 0.222
161 A 2 2 1.00 7 0.286
162 A 2 2 1.00 7 0.286
163 A 5 3 1.00 12 0.250
164 A 1 1 1.00 14 0.071
165 A 1 1 1.00 7 0.143
166 A 1 1 1.00 5 0.200
167 A 1 1 1.00 7 0.143
168 A 7 3 1.00 12 0.250
169 F 0 0 N/A 0 N/A
170 A 0 0 0.00 0 0.000
171 A 2 3 1.00 6 0.500
172 A 5 5 1.00 7 0.714
173 A 3 3 1.00 10 0.300
174 A 1 0 1.00 13 0.000
175 A 4 4 1.00 12 0.333
176 A 5 4 1.00 19 0.210
177 A 1 1 1.00 9 0.111
178 A 2 1 1.00 11 0.091
179 A 2 1 1.00 13 0.077
180 A 3 3 1.00 13 0.231
181 A 3 3 1.00 13 0.231
182 A 1 1 1.00 9 0.111
183 A 2 1 1.00 11 0.091
184 A 2 1 1.00 13 0.077
185 A 2 2 1.00 13 0.154
186 A 3 3 1.00 13 0.231
187 A 1 1 1.00 11 0.091
188 A 2 1 1.00 13 0.077
189 A 6 6 1.00 18 0.333
190 A 2 2 1.00 9 0.222
191 A 4 3 1.00 13 0.231
192 A 3 3 1.00 6 0.500
193 A 1 1 1.00 13 0.077
194 A 2 2 1.00 13 0.154
195 A 3 3 1.00 13 0.231
196 A 3 3 1.00 14 0.214
197 A 3 3 1.00 18 0.167
198 A 1 1 1.00 20 0.050
199 A 1 1 1.00 9 0.111
200 A 3 2 1.00 65 0.031
201 A 5 4 1.00 68 0.059
202 A 5 2 1.00 21 0.095
203 A 6 6 1.00 21 0.286
204 A 4 3 1.00 23 0.130
205 A 2 2 1.00 16 0.125
206 A 3 3 1.00 25 0.120
207 A 2 2 1.00 24 0.083
208 A 2 2 1.00 29 0.069
209 A 1 1 1.00 18 0.056
210 A 1 1 1.00 23 0.043
211 A 3 3 1.00 24 0.125
212 A 3 3 1.00 22 0.136
213 A 3 3 1.00 26 0.115
214 A 3 3 1.00 31 0.097
215 A 3 3 1.00 16 0.188
216 A 1 1 1.00 8 0.125
217 A 2 2 1.00 6 0.333
218 A 1 1 1.00 20 0.050
219 A 3 2 1.00 13 0.154
220 A 2 2 1.00 13 0.154
221 A 3 3 1.00 9 0.333
222 A 2 2 1.00 13 0.154
223 A 2 1 1.00 11 0.091
224 A 5 5 1.00 13 0.385
225 A 2 2 1.00 4 0.500
226 A 2 2 1.00 4 0.500
227 A 1 1 1.00 4 0.250
228 A 1 1 1.00 28 0.036
229 A 4 2 1.00 11 0.182
230 A 3 3 1.00 4 0.750
231 A 3 3 1.00 4 0.750
232 A 3 3 1.00 8 0.375
233 A 3 2 1.00 7 0.286
234 A 3 2 1.00 7 0.286
235 A 1 1 1.00 8 0.125
236 A 1 1 1.00 10 0.100
237 A 1 1 1.00 8 0.125
238 A 1 1 1.00 10 0.100
239 A 3 3 1.00 17 0.176
240 A 4 3 1.00 13 0.231
241 A 2 2 1.00 11 0.182
242 A 4 3 1.00 13 0.231
243 A 3 3 1.00 8 0.375
244 A 1 1 1.00 2 0.500
245 A 3 2 1.00 4 0.500
246 A 1 1 1.00 2 0.500
247 A 1 1 1.00 2 0.500
248 A 1 1 1.00 3 0.333
249 A 4 3 1.00 12 0.250
250 A 2 1 1.00 13 0.077
251 A 3 3 1.00 14 0.214
252 A 14 8 1.00 12 0.667
253 A 4 3 1.00 7 0.429
254 A 1 1 1.00 5 0.200
255 A 6 6 1.00 9 0.667
256 A 2 2 1.00 9 0.222
257 A 10 3 1.00 15 0.200
258 A 6 2 1.00 11 0.182
259 A 6 6 1.00 7 0.857
260 A 1 1 1.00 9 0.111
261 A 2 2 1.00 9 0.222
262 A 2 1 1.00 7 0.143
263 A 2 2 1.00 2 1.000
264 A 4 3 1.00 6 0.500
265 A 4 2 1.00 17 0.118
266 A 2 2 1.00 4 0.500
267 A 2 1 1.00 19 0.053
268 A 1 1 1.00 11 0.091
269 A 1 1 1.00 9 0.111
270 A 2 2 1.00 12 0.167
271 A 3 2 1.00 24 0.083
272 A 2 1 1.00 29 0.034
273 A 0 0 0.00 0 0.000
274 A 9 7 1.00 54 0.130
275 A 4 3 1.00 21 0.143
276 A 1 1 1.00 2 0.500
277 A 1 1 1.00 4 0.250
278 F 0 0 N/A 0 N/A
279 F 0 0 N/A 0 N/A
280 A 1 1 1.00 85 0.012
281 F 0 0 N/A 0 N/A
282 A 20 8 1.00 107 0.075
283 A 2 2 1.00 7 0.286
284 F 0 0 N/A 0 N/A

[next] [prev] [prev-tail] [front] [up]