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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

B grade: { }

C grade: { }

F grade: { }

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, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 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, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 277, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

B grade: { 40, 41, 42, 43, 44, 45, 134, 189, 278, 279, 280, 281 }

C grade: { 108, 109, 110, 111, 112, 276 }

F grade: { }

2.1.3 Maple

A grade: { 1, 5, 6, 7, 8, 12, 13, 14, 15, 19, 25, 30, 34, 35, 36, 37, 39, 51, 55, 56, 58, 64, 75, 81, 86, 98, 104, 105, 113, 114, 115, 116, 117, 121, 122, 126, 127, 129, 130, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 153, 168, 171, 180, 181, 183, 184, 185, 186, 187, 188, 190, 195, 196, 197, 198, 199, 200, 207, 209, 210, 211, 213, 214, 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, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 296, 298, 299, 308, 309, 313, 314 }

B grade: { 24, 91, 118, 119, 120, 123, 124, 125, 128, 131, 160, 161, 162, 164, 165, 167, 170, 173, 174, 176, 177, 191, 208, 212, 246, 249, 278 }

C grade: { 9, 10, 11, 17, 18, 20, 21, 22, 23, 26, 27, 28, 29, 38, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 85, 87, 88, 89, 90, 94, 95, 150, 151, 154, 155, 156, 157, 158, 159, 169, 172, 179, 182, 189, 192, 194, 201, 202, 204, 205, 215, 216, 218, 219, 276, 277, 307, 312 }

F grade: { 2, 3, 4, 16, 31, 32, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 57, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 92, 93, 96, 97, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 149, 152, 163, 166, 175, 178, 193, 203, 206, 217, 220, 263, 264, 265, 279, 280, 281, 293, 295, 297, 300, 301, 302, 303, 304, 305, 306, 310, 311 }

2.1.4 Maxima

A grade: { 6, 7, 8, 12, 13, 14, 15, 20, 21, 25, 27, 29, 35, 36, 37, 38, 39, 51, 55, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 81, 96, 105, 113, 114, 115, 116, 117, 122, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 153, 160, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 179, 180, 181, 183, 184, 185, 186, 187, 188, 190, 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, 222, 223, 224, 225, 226, 227, 228, 229, 230, 235, 236, 238, 239, 240, 241, 242, 243, 244, 245, 247, 248, 250, 254, 259, 262, 267, 268, 270, 271, 272, 273, 274, 275, 276, 282, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 296, 297, 298, 299, 302, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314

B grade: { 22, 23, 24, 26, 28, 58, 161, 162, 163, 176, 177, 178, 182, 189, 191, 192, 193, 194, 221, 237, 246, 269, 301, 303, 304 }

C grade: { 154, 155, 156, 157, 158, 159 }

F grade: { 1, 2, 3, 4, 5, 9, 10, 11, 16, 17, 18, 19, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 57, 59, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 118, 119, 120, 121, 123, 124, 125, 126, 128, 149, 150, 152, 231, 232, 233, 234, 249, 251, 252, 253, 255, 256, 257, 258, 260, 261, 263, 264, 265, 266, 277, 278, 279, 280, 281, 283, 293, 300 }

2.1.5 FriCAS

A grade: { 1, 5, 6, 7, 8, 12, 13, 14, 15, 16, 19, 20, 21, 25, 26, 27, 29, 30, 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, 60, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 116, 117, 121, 122, 126, 127, 129, 130, 132, 133, 134, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 194, 201, 203, 223, 224, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 268, 271, 272, 273, 274, 275, 276, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 308, 309, 313, 314 }

B grade: { 9, 10, 11, 17, 18, 22, 23, 24, 28, 89, 90, 128, 131, 135, 136, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 191, 195, 196, 197, 198, 199, 200, 202, 218, 219, 220, 221, 222, 225, 246, 307, 312 }

C grade: { 113, 114, 115, 118, 119, 120, 123, 124, 125, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 305, 306, 310, 311 }

F grade: { 2, 3, 4, 31, 32, 33, 59, 65, 70, 76, 87, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 193, 263, 264, 265, 266, 267, 269, 270, 277, 278, 279, 301, 302, 303, 304 }

2.1.6 Sympy

A grade: { 11, 12, 13, 14, 19, 23, 24, 25, 26, 34, 55, 60, 61, 62, 63, 64, 66, 67, 68, 69, 75, 81, 86, 117, 129, 130, 132, 137, 138, 139, 141, 142, 144, 145, 146, 147, 148, 153, 160, 182, 184, 187, 188, 190, 194, 222, 223, 224, 226, 227, 228, 229, 230, 231, 232, 233, 235, 236, 237, 239, 241, 242, 243, 244, 245, 247, 248, 250, 251, 252, 253, 258, 259, 260, 261, 262, 272, 273, 274, 275, 276, 282, 283, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 308, 309 }

B grade: { 131, 133, 140, 189, 192, 238, 240, 246 }

C grade: { 268, 270 }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 16, 17, 18, 20, 21, 22, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 65, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 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, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 134, 135, 136, 143, 149, 150, 151, 152, 154, 155, 156, 157, 158, 159, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 183, 185, 186, 191, 193, 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, 225, 234, 249, 254, 255, 256, 257, 263, 264, 265, 266, 267, 269, 271, 277, 278, 279, 280, 281, 284, 300, 301, 302, 303, 304, 305, 306, 307, 310, 311, 312, 313, 314 }

2.1.7 Giac

A grade: { 5, 6, 7, 8, 11, 12, 13, 14, 15, 19, 25, 26, 27, 34, 35, 36, 37, 39, 46, 47, 48, 49, 50, 51, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 85, 86, 88, 101, 102, 103, 104, 105, 106, 107, 117, 122, 127, 130, 132, 133, 135, 138, 139, 140, 142, 143, 144, 145, 146, 148, 150, 151, 152, 153, 160, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 197, 198, 199, 200, 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, 251, 253, 254, 255, 257, 258, 259, 260, 261, 262, 265, 272, 273, 274, 275, 276, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 296, 301, 302, 304 }

B grade: { 9, 10, 23, 24, 28, 82, 83, 84, 89, 90, 91, 129, 131, 136, 141, 149, 221, 222, 250, 252, 256, 294, 298, 303 }

C grade: { 154, 155, 156, 157, 158, 159 }

F grade: { 1, 2, 3, 4, 16, 17, 18, 20, 21, 22, 29, 30, 31, 32, 33, 38, 40, 41, 42, 43, 44, 45, 52, 53, 54, 59, 65, 70, 76, 87, 92, 93, 94, 95, 96, 97, 98, 99, 100, 108, 109, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 126, 128, 134, 137, 147, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 191, 193, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 249, 263, 264, 266, 267, 268, 269, 270, 271, 277, 278, 279, 280, 281, 293, 295, 297, 299, 300, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.2 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 75 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.247 1.18 0.48 0. 0. 0. 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 223 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.348 0.739 2.418 0. 0. 0. 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 149 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.274 0.414 4.449 0. 0. 0. 0.
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 77 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.156 3.949 0. 0. 0. 0.
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 0 74 0 22
normalized size 1 1. 1. 1.07 0. 4.93 0. 1.47
time (sec) N/A 0.022 0.002 0.003 0. 1.947 0. 1.301
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.245 0.126 8.273 0. 0. 0. 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 69 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.289 0.665 6.506 0. 0. 0. 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 71 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.245 1.472 49.67 0. 0. 0. 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 272 230 61910 0 1558 0 1034
normalized size 1 1. 0.85 227.61 0. 5.73 0. 3.8
time (sec) N/A 0.305 0.224 5.05 0. 2.162 0. 1.341
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 115 14983 0 659 0 386
normalized size 1 1. 0.92 119.86 0. 5.27 0. 3.09
time (sec) N/A 0.166 0.105 1.375 0. 1.856 0. 1.657
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 2146 0 213 68 99
normalized size 1 1. 1. 52.34 0. 5.2 1.66 2.41
time (sec) N/A 0.077 0.033 0.303 0. 1.956 10.166 1.278
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 43 51 18
normalized size 1 1. 1. 0.93 1.2 2.87 3.4 1.2
time (sec) N/A 0.007 0.001 0.003 1.003 1.839 1.689 1.303
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 66 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.192 1.409 1.777 0. 0. 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.196 1.567 51.749 0. 0. 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.177 2.872 56.374 0. 0. 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 0 107 0 0
normalized size 1 1. 1. 0. 0. 4.12 0. 0.
time (sec) N/A 0.171 0.089 0.5 0. 1.992 0. 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 204 0 174 0 0
normalized size 1 1. 1. 9.27 0. 7.91 0. 0.
time (sec) N/A 0.173 0.038 0.197 0. 2.052 0. 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 135 0 115 0 0
normalized size 1 1. 1. 6.14 0. 5.23 0. 0.
time (sec) N/A 0.109 0.033 0.162 0. 1.959 0. 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 17 0 82 58 23
normalized size 1 1. 1. 1.06 0. 5.12 3.62 1.44
time (sec) N/A 0.035 0.015 0.003 0. 1.999 61.902 1.315
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 213 30 51 0 0
normalized size 1 1. 1. 12.53 1.76 3. 0. 0.
time (sec) N/A 0.185 0.233 0.164 1.56 1.824 0. 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 68 28 51 0 0
normalized size 1 1. 1. 3.4 1.4 2.55 0. 0.
time (sec) N/A 0.182 0.04 0.129 1.716 1.99 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 68 66 116 0 0
normalized size 1 1. 1. 3.09 3. 5.27 0. 0.
time (sec) N/A 0.18 0.04 0.184 2.132 2.049 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 16321 285 478 221 267
normalized size 1 1. 1. 816.05 14.25 23.9 11.05 13.35
time (sec) N/A 0.152 0.018 1.223 1.027 1.845 13.441 1.291
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 38 63 100 230 117 122
normalized size 1 1. 1.9 3.15 5. 11.5 5.85 6.1
time (sec) N/A 0.093 0.004 0.018 1.05 1.962 6.32 1.231
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 15 19 59 60 27
normalized size 1 1. 1. 1.07 1.36 4.21 4.29 1.93
time (sec) N/A 0.009 0.002 0.003 1.015 1.882 1.676 1.241
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 428 43 84 48 38
normalized size 1 1. 1. 28.53 2.87 5.6 3.2 2.53
time (sec) N/A 0.082 0.095 0.066 1.185 1.812 2.393 1.149
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 451 42 84 0 42
normalized size 1 1. 1. 25.06 2.33 4.67 0. 2.33
time (sec) N/A 0.133 0.013 0.072 1.217 1.861 0. 1.451
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 451 128 254 0 413
normalized size 1 1. 1. 22.55 6.4 12.7 0. 20.65
time (sec) N/A 0.16 0.014 0.085 1.425 2.028 0. 1.278
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 23 216 35 59 0 0
normalized size 1 1. 1.21 11.37 1.84 3.11 0. 0.
time (sec) N/A 0.321 0.46 0.191 1.543 1.926 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 80 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.231 1.801 0.487 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 445 0 0 0 0 0
normalized size 1 1. 1.34 0. 0. 0. 0. 0.
time (sec) N/A 0.504 1.551 7.961 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 298 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.395 0.927 17.253 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 157 0 0 0 0 0
normalized size 1 1. 1.13 0. 0. 0. 0. 0.
time (sec) N/A 0.171 0.386 10.297 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 26 0 107 53 36
normalized size 1 1. 1. 1.04 0. 4.28 2.12 1.44
time (sec) N/A 0.034 0.02 0.007 0. 1.862 60.999 1.313
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 72 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.267 4.747 35.223 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 74 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.282 7.308 7.905 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 76 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.249 66.919 91.029 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 158 42 80 0 0
normalized size 1 1. 1. 6.08 1.62 3.08 0. 0.
time (sec) N/A 0.245 0.357 0.128 1.674 1.935 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 60 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.153 76.601 0.368 0. 0. 0. 0.
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 49 49 625 0 0 95 0 0
normalized size 1 1. 12.76 0. 0. 1.94 0. 0.
time (sec) N/A 0.099 0.433 180. 0. 1.948 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 642 0 0 93 0 0
normalized size 1 1. 12.84 0. 0. 1.86 0. 0.
time (sec) N/A 0.087 0.366 180. 0. 1.951 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 320 0 0 109 0 0
normalized size 1 1. 6.04 0. 0. 2.06 0. 0.
time (sec) N/A 0.096 0.209 180. 0. 1.946 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 316 0 0 111 0 0
normalized size 1 1. 6.08 0. 0. 2.13 0. 0.
time (sec) N/A 0.073 0.188 180. 0. 1.843 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 641 0 0 111 0 0
normalized size 1 1. 13.08 0. 0. 2.27 0. 0.
time (sec) N/A 0.102 0.311 180. 0. 1.929 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 645 0 0 109 0 0
normalized size 1 1. 12.9 0. 0. 2.18 0. 0.
time (sec) N/A 0.078 0.251 180. 0. 1.848 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 56 0 0 204 0 112
normalized size 1 1. 0.84 0. 0. 3.04 0. 1.67
time (sec) N/A 0.057 0.131 180. 0. 2.052 0. 1.31
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 59 0 0 261 0 150
normalized size 1 1. 0.75 0. 0. 3.3 0. 1.9
time (sec) N/A 0.061 0.157 0.185 0. 1.978 0. 1.427
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 0 0 161 0 76
normalized size 1 1. 0.89 0. 0. 2.93 0. 1.38
time (sec) N/A 0.049 0.059 0.063 0. 1.879 0. 1.377
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 0 0 161 0 76
normalized size 1 1. 0.89 0. 0. 2.93 0. 1.38
time (sec) N/A 0.035 0.057 0.061 0. 1.855 0. 1.319
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 0 0 144 0 57
normalized size 1 1. 0.96 0. 0. 3.2 0. 1.27
time (sec) N/A 0.03 0.048 0.066 0. 1.975 0. 1.324
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 40 48 86 124 0 73
normalized size 1 1. 1.25 1.5 2.69 3.88 0. 2.28
time (sec) N/A 0.017 0.011 0.01 1.028 1.874 0. 1.3
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 45 0 0 123 0 0
normalized size 1 1. 0.94 0. 0. 2.56 0. 0.
time (sec) N/A 0.047 0.041 0.066 0. 1.895 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 0 0 136 0 0
normalized size 1 1. 0.89 0. 0. 2.47 0. 0.
time (sec) N/A 0.046 0.042 0.053 0. 1.712 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 0 0 136 0 0
normalized size 1 1. 0.89 0. 0. 2.47 0. 0.
time (sec) N/A 0.047 0.043 0.061 0. 1.539 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 26 31 81 19 35
normalized size 1 1. 1. 1.18 1.41 3.68 0.86 1.59
time (sec) N/A 0.007 0.014 0.009 1.142 1.646 1.314 1.205
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 22 23 30 68 0 43
normalized size 1 1. 1.1 1.15 1.5 3.4 0. 2.15
time (sec) N/A 0.02 0.007 0.006 0.994 1.639 0. 1.303
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 39 0 0 126 0 49
normalized size 1 1. 0.98 0. 0. 3.15 0. 1.22
time (sec) N/A 0.022 0.02 0.056 0. 1.633 0. 1.214
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 34 35 74 105 0 58
normalized size 1 1. 1.26 1.3 2.74 3.89 0. 2.15
time (sec) N/A 0.021 0.01 0.006 1.017 1.524 0. 1.367
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 48 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.059 0.021 180. 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 85 0 117 232 134 120
normalized size 1 1. 0.86 0. 1.18 2.34 1.35 1.21
time (sec) N/A 0.073 0.048 0.038 1.043 1.612 14.224 1.3
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 74 0 101 196 119 101
normalized size 1 1. 0.87 0. 1.19 2.31 1.4 1.19
time (sec) N/A 0.062 0.036 0.023 1.093 1.569 7.437 1.228
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 63 0 88 171 107 88
normalized size 1 1. 0.89 0. 1.24 2.41 1.51 1.24
time (sec) N/A 0.053 0.029 0.023 1.083 1.505 4.219 1.142
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 49 0 69 132 92 69
normalized size 1 1. 0.86 0. 1.21 2.32 1.61 1.21
time (sec) N/A 0.041 0.02 0.03 1.012 1.552 2.343 1.214
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 31 34 49 95 56 50
normalized size 1 1. 0.94 1.03 1.48 2.88 1.7 1.52
time (sec) N/A 0.016 0.007 0.006 1.157 1.523 1.216 1.229
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 50 0 108 0 0 0
normalized size 1 1. 0.94 0. 2.04 0. 0. 0.
time (sec) N/A 0.126 0.02 0.036 1.055 0. 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 45 0 62 113 76 63
normalized size 1 1. 0.96 0. 1.32 2.4 1.62 1.34
time (sec) N/A 0.044 0.012 0.016 1.005 1.922 2.679 1.305
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 65 0 84 169 110 88
normalized size 1 1. 0.9 0. 1.17 2.35 1.53 1.22
time (sec) N/A 0.05 0.032 0.023 1.031 1.843 4.976 1.27
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 77 0 101 198 133 108
normalized size 1 1. 0.9 0. 1.17 2.3 1.55 1.26
time (sec) N/A 0.057 0.035 0.024 1.017 1.875 8.755 1.16
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 87 0 116 228 141 124
normalized size 1 1. 0.87 0. 1.16 2.28 1.41 1.24
time (sec) N/A 0.063 0.046 0.024 1.026 1.921 16.643 1.167
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 137 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.221 0.186 0.306 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 190 1621 0 1013 0 298
normalized size 1 1. 0.92 7.83 0. 4.89 0. 1.44
time (sec) N/A 0.229 0.207 0.123 0. 1.975 0. 1.234
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 151 1146 0 826 0 238
normalized size 1 1. 0.9 6.86 0. 4.95 0. 1.43
time (sec) N/A 0.189 0.148 0.1 0. 1.965 0. 1.271
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 122 870 0 691 0 197
normalized size 1 1. 0.9 6.4 0. 5.08 0. 1.45
time (sec) N/A 0.149 0.109 0.089 0. 1.996 0. 1.293
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 94 510 0 567 0 153
normalized size 1 1. 0.86 4.68 0. 5.2 0. 1.4
time (sec) N/A 0.112 0.087 0.093 0. 1.94 0. 1.34
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 78 118 0 459 275 124
normalized size 1 1. 0.99 1.49 0. 5.81 3.48 1.57
time (sec) N/A 0.061 0.061 0.013 0. 1.825 102.018 1.313
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 156 315 0 0 0 0
normalized size 1 1. 1.21 2.44 0. 0. 0. 0.
time (sec) N/A 0.176 0.156 0.063 0. 0. 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 87 261 0 486 0 134
normalized size 1 1. 1.01 3.03 0. 5.65 0. 1.56
time (sec) N/A 0.113 0.105 0.069 0. 2.352 0. 1.21
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 105 1178 0 628 0 174
normalized size 1 1. 0.87 9.74 0. 5.19 0. 1.44
time (sec) N/A 0.154 0.238 0.089 0. 2.354 0. 1.269
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 132 423 0 741 0 221
normalized size 1 1. 0.89 2.84 0. 4.97 0. 1.48
time (sec) N/A 0.2 0.366 0.085 0. 2.747 0. 1.208
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 172 3583 0 932 0 284
normalized size 1 1. 0.91 18.86 0. 4.91 0. 1.49
time (sec) N/A 0.223 0.45 0.114 0. 2.803 0. 1.235
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 35 38 50 105 46 50
normalized size 1 1. 0.83 0.9 1.19 2.5 1.1 1.19
time (sec) N/A 0.026 0.013 0.007 1.776 2.034 0.141 1.164
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 485 485 468 31895 0 2700 0 1338
normalized size 1 1. 0.96 65.76 0. 5.57 0. 2.76
time (sec) N/A 2.058 1.905 0.23 0. 2.992 0. 1.385
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 338 324 16059 0 1858 0 923
normalized size 1 1. 0.96 47.51 0. 5.5 0. 2.73
time (sec) N/A 0.516 0.504 0.196 0. 2.435 0. 1.392
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 204 7155 0 1242 0 591
normalized size 1 1. 0.9 31.66 0. 5.5 0. 2.62
time (sec) N/A 0.319 0.378 0.148 0. 2.25 0. 1.347
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 123 1706 0 767 0 315
normalized size 1 1. 0.8 11.08 0. 4.98 0. 2.05
time (sec) N/A 0.186 0.186 0.145 0. 2.266 0. 1.362
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 78 118 0 459 275 124
normalized size 1 1. 0.99 1.49 0. 5.81 3.48 1.57
time (sec) N/A 0.062 0.059 0.015 0. 2.147 106.601 1.313
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 226 493 0 0 0 0
normalized size 1 1. 0.99 2.16 0. 0. 0. 0.
time (sec) N/A 0.412 0.293 0.089 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 166 6540 0 950 0 383
normalized size 1 1. 1.01 39.64 0. 5.76 0. 2.32
time (sec) N/A 0.245 0.333 0.148 0. 3.223 0. 1.395
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 215 55216 0 2867 0 1197
normalized size 1 1. 0.83 213.19 0. 11.07 0. 4.62
time (sec) N/A 0.406 0.595 0.237 0. 17.134 0. 1.328
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 356 310 306209 0 6159 0 2650
normalized size 1 1. 0.87 860.14 0. 17.3 0. 7.44
time (sec) N/A 0.621 1.198 0.303 0. 125.094 0. 1.518
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 519 519 469 1137077 0 0 0 5075
normalized size 1 1. 0.9 2190.9 0. 0. 0. 9.78
time (sec) N/A 1.006 2.065 0.443 0. 0. 0. 2.584
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 131 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.043 0.101 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 339 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.346 0.162 0.229 0. 0. 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 762 762 626 610 0 0 0 0
normalized size 1 1. 0.82 0.8 0. 0. 0. 0.
time (sec) N/A 1.452 0.941 0.135 0. 0. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 782 782 663 764 0 0 0 0
normalized size 1 1. 0.85 0.98 0. 0. 0. 0.
time (sec) N/A 1.514 0.813 0.11 0. 0. 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 111 0 166 0 0 0
normalized size 1 1. 0.77 0. 1.15 0. 0. 0.
time (sec) N/A 0.284 0.064 0.037 1.232 0. 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 587 587 478 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.949 0.824 0.205 0. 0. 0. 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 311 311 290 279 0 0 0 0
normalized size 1 1. 0.93 0.9 0. 0. 0. 0.
time (sec) N/A 0.478 0.16 0.021 0. 0. 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 323 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.541 0.146 0.027 0. 0. 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 443 443 826 0 0 0 0 0
normalized size 1 1. 1.86 0. 0. 0. 0. 0.
time (sec) N/A 0.684 0.745 0.022 0. 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 117 0 0 424 0 181
normalized size 1 1. 0.68 0. 0. 2.47 0. 1.05
time (sec) N/A 0.381 0.496 0.01 0. 2.515 0. 1.357
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 107 0 0 375 0 167
normalized size 1 1. 0.72 0. 0. 2.52 0. 1.12
time (sec) N/A 0.292 0.335 0.007 0. 2.616 0. 1.36
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 102 0 0 327 0 154
normalized size 1 1. 0.8 0. 0. 2.57 0. 1.21
time (sec) N/A 0.245 0.269 0.004 0. 2.575 0. 1.297
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 85 80 0 278 0 136
normalized size 1 1. 0.89 0.84 0. 2.93 0. 1.43
time (sec) N/A 0.162 0.028 0.031 0. 2.61 0. 1.323
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.454 0.005 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 68 0 0 296 0 124
normalized size 1 1. 0.89 0. 0. 3.89 0. 1.63
time (sec) N/A 0.262 0.214 0.008 0. 2.487 0. 1.35
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 82 0 0 358 0 176
normalized size 1 1. 0.81 0. 0. 3.54 0. 1.74
time (sec) N/A 0.291 0.275 0.006 0. 2.333 0. 1.404
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 232 0 0 327 0 0
normalized size 1 1. 1.24 0. 0. 1.75 0. 0.
time (sec) N/A 0.541 0.829 0.006 0. 2.25 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 209 0 0 286 0 0
normalized size 1 1. 1.32 0. 0. 1.81 0. 0.
time (sec) N/A 0.431 0.641 0.007 0. 2.347 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 186 0 0 243 0 0
normalized size 1 1. 1.58 0. 0. 2.06 0. 0.
time (sec) N/A 0.385 0.545 0.009 0. 2.182 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 177 0 0 240 0 0
normalized size 1 1. 1.55 0. 0. 2.11 0. 0.
time (sec) N/A 0.309 0.434 0.006 0. 2.29 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 204 0 0 311 0 0
normalized size 1 1. 1.35 0. 0. 2.06 0. 0.
time (sec) N/A 0.478 0.605 0.006 0. 2.19 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 93 84 111 224 0 0
normalized size 1 1. 1. 0.9 1.19 2.41 0. 0.
time (sec) N/A 0.073 0.007 0.007 1.207 2.048 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 69 90 185 0 0
normalized size 1 1. 1. 0.9 1.17 2.4 0. 0.
time (sec) N/A 0.058 0.005 0.006 1.129 2.057 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 52 68 143 0 0
normalized size 1 1. 1. 0.88 1.15 2.42 0. 0.
time (sec) N/A 0.037 0.005 0.007 1.124 2.135 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 28 46 93 0 0
normalized size 1 1. 1. 0.74 1.21 2.45 0. 0.
time (sec) N/A 0.048 0.002 0.013 1.081 2.091 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.032 0.051 0.026 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 132 645 0 323 0 0
normalized size 1 1. 1. 4.89 0. 2.45 0. 0.
time (sec) N/A 0.097 0.013 0.069 0. 2.195 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 98 462 0 236 0 0
normalized size 1 1. 1. 4.71 0. 2.41 0. 0.
time (sec) N/A 0.062 0.005 0.049 0. 2.155 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 282 0 147 0 0
normalized size 1 1. 1. 4.48 0. 2.33 0. 0.
time (sec) N/A 0.038 0.005 0.043 0. 2.215 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 32 0 63 0 0
normalized size 1 1. 1. 1.03 0. 2.03 0. 0.
time (sec) N/A 0.015 0.001 0.007 0. 2.2 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.296 0.052 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 193 1364 0 564 0 0
normalized size 1 1. 1. 7.07 0. 2.92 0. 0.
time (sec) N/A 0.129 0.009 0.101 0. 2.211 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 156 980 0 471 0 0
normalized size 1 1. 1. 6.28 0. 3.02 0. 0.
time (sec) N/A 0.093 0.007 0.079 0. 2.196 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 118 598 0 382 0 0
normalized size 1 1. 1. 5.07 0. 3.24 0. 0.
time (sec) N/A 0.065 0.005 0.059 0. 2.089 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 82 0 243 0 0
normalized size 1 1. 1. 1.09 0. 3.24 0. 0.
time (sec) N/A 0.127 0.003 0.008 0. 2.141 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.289 0.05 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 138 0 250 0 0
normalized size 1 1. 1. 3.54 0. 6.41 0. 0.
time (sec) N/A 0.026 0.009 0.02 0. 2.148 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 6 7 23 5 30
normalized size 1 1. 1. 1.2 1.4 4.6 1. 6.
time (sec) N/A 0.018 0.009 0.006 1.082 1.981 0.095 1.278
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 9 11 32 10 11
normalized size 1 1. 1. 0.75 0.92 2.67 0.83 0.92
time (sec) N/A 0.026 0.004 0.006 1.117 2.041 0.739 1.293
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 33 11 108 39 42
normalized size 1 1. 1. 3.3 1.1 10.8 3.9 4.2
time (sec) N/A 0.017 0.003 0.004 1.127 2.021 0.138 1.253
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 22 7 8
normalized size 1 1. 1. 0.88 1. 2.75 0.88 1.
time (sec) N/A 0.014 0.002 0.004 1.074 2.022 0.432 1.217
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 22 15 4
normalized size 1 1. 1. 1.33 1.33 7.33 5. 1.33
time (sec) N/A 0.02 0.012 0.004 1.605 2.018 0.137 1.271
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 42 13 22 47 0 0
normalized size 1 1. 3. 0.93 1.57 3.36 0. 0.
time (sec) N/A 0.032 0.015 0.01 1.102 1.971 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 8 9 72 0 9
normalized size 1 1. 1. 0.73 0.82 6.55 0. 0.82
time (sec) N/A 0.035 0.019 0.012 1.644 2.032 0. 1.197
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 6 7 47 0 22
normalized size 1 1. 1. 0.86 1. 6.71 0. 3.14
time (sec) N/A 0.029 0.015 0.01 1.612 2.068 0. 1.235
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 106 87 131 239 17 0
normalized size 1 1. 0.95 0.78 1.18 2.15 0.15 0.
time (sec) N/A 0.1 0.071 0.007 1.598 2.03 0.164 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 12 28 8 12
normalized size 1 1. 1. 0.91 1.09 2.55 0.73 1.09
time (sec) N/A 0.028 0.004 0.004 1.096 2.088 0.29 1.304
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 35 7 12
normalized size 1 1. 1. 1.11 1.33 3.89 0.78 1.33
time (sec) N/A 0.015 0.006 0.013 1.073 2.144 0.418 1.3
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 16 14 16 58 156 16
normalized size 1 1. 0.94 0.82 0.94 3.41 9.18 0.94
time (sec) N/A 0.02 0.014 0.02 1.125 2.235 4.997 1.297
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 16 41 10 36
normalized size 1 1. 1. 1.08 1.33 3.42 0.83 3.
time (sec) N/A 0.036 0.026 0.006 1.099 2.039 0.107 1.259
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 29 24 31 77 27 31
normalized size 1 1. 1.38 1.14 1.48 3.67 1.29 1.48
time (sec) N/A 0.036 0.014 0.004 1.102 2.076 0.129 1.318
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 31 31 41 115 0 50
normalized size 1 1. 0.74 0.74 0.98 2.74 0. 1.19
time (sec) N/A 0.067 0.02 0.01 1.584 1.962 0. 1.212
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 20 21 27 80 17 46
normalized size 1 1. 0.83 0.88 1.12 3.33 0.71 1.92
time (sec) N/A 0.041 0.027 0.01 1.101 1.955 0.12 1.217
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 16 18 23 47 20 23
normalized size 1 1. 0.7 0.78 1. 2.04 0.87 1.
time (sec) N/A 0.043 0.016 0.01 1.012 1.995 4.044 1.273
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 20 22 28 54 22 28
normalized size 1 1. 0.69 0.76 0.97 1.86 0.76 0.97
time (sec) N/A 0.051 0.021 0.01 1.011 2.015 4.353 1.2
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 30 39 103 32 0
normalized size 1 1. 1. 1.36 1.77 4.68 1.45 0.
time (sec) N/A 0.06 0.018 0.007 1.014 2.061 1.945 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 24 43 99 32 27
normalized size 1 1. 0.81 0.89 1.59 3.67 1.19 1.
time (sec) N/A 0.049 0.041 0.009 1.042 2.012 0.121 1.358
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 0 0 109 0 92
normalized size 1 1. 1. 0. 0. 4.04 0. 3.41
time (sec) N/A 0.026 0.011 0.181 0. 2.138 0. 1.598
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 71 0 80 0 32
normalized size 1 1. 1. 2.63 0. 2.96 0. 1.19
time (sec) N/A 0.035 0.006 0.245 0. 2.175 0. 1.366
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 21 27 43 0 36
normalized size 1 1. 1. 0.84 1.08 1.72 0. 1.44
time (sec) N/A 0.02 0.008 0.031 1.047 2.098 0. 1.351
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 0 0 101 0 47
normalized size 1 1. 1. 0. 0. 3.48 0. 1.62
time (sec) N/A 0.038 0.006 0.102 0. 2.094 0. 1.462
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 21 29 7 8 3 7
normalized size 1 1. 0.68 0.94 0.23 0.26 0.1 0.23
time (sec) N/A 0.016 0.008 0.012 1.007 1.886 0.071 1.272
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 80 77 149 0 138
normalized size 1 1. 0.86 2.29 2.2 4.26 0. 3.94
time (sec) N/A 0.078 0.042 0.107 1.157 2.284 0. 1.301
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 132 107 211 0 166
normalized size 1 1. 0.76 2. 1.62 3.2 0. 2.52
time (sec) N/A 0.114 0.077 0.128 1.208 2.216 0. 1.315
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 66 162 149 304 0 613
normalized size 1 1. 0.74 1.82 1.67 3.42 0. 6.89
time (sec) N/A 0.518 0.105 0.129 1.254 2.276 0. 1.338
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 79 74 149 0 146
normalized size 1 1. 0.86 2.26 2.11 4.26 0. 4.17
time (sec) N/A 0.061 0.043 0.082 1.183 2.486 0. 1.344
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 132 103 211 0 165
normalized size 1 1. 0.76 2. 1.56 3.2 0. 2.5
time (sec) N/A 0.121 0.088 0.079 1.204 2.749 0. 1.386
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 66 162 146 302 0 668
normalized size 1 1. 0.75 1.84 1.66 3.43 0. 7.59
time (sec) N/A 0.468 0.151 0.118 1.254 2.606 0. 1.219
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 19 7 20 5 7
normalized size 1 1. 1. 3.8 1.4 4. 1. 1.4
time (sec) N/A 0.033 0.021 0.05 1.169 2.248 12.887 1.194
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 42 76 117 396 0 0
normalized size 1 1. 0.89 1.62 2.49 8.43 0. 0.
time (sec) N/A 0.057 0.015 0.033 2.177 2.224 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 88 120 362 0 0
normalized size 1 1. 0.96 1.96 2.67 8.04 0. 0.
time (sec) N/A 0.059 0.017 0.032 1.926 2.107 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 0 123 433 0 0
normalized size 1 1. 1. 0. 2.37 8.33 0. 0.
time (sec) N/A 0.06 0.024 0.177 2.14 2.112 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 107 81 396 0 0
normalized size 1 1. 1. 2.28 1.72 8.43 0. 0.
time (sec) N/A 0.053 0.008 0.03 2.202 2.01 0. 0.
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 118 84 355 0 0
normalized size 1 1. 0.96 2.62 1.87 7.89 0. 0.
time (sec) N/A 0.056 0.022 0.034 2.22 2.069 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 0 88 433 0 0
normalized size 1 1. 1. 0. 1.69 8.33 0. 0.
time (sec) N/A 0.058 0.023 0.108 2.458 2.255 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 75 82 57 587 0 0
normalized size 1 1. 1.47 1.61 1.12 11.51 0. 0.
time (sec) N/A 0.044 0.011 0.03 1.628 2.012 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 75 82 59 568 0 0
normalized size 1 1. 1.53 1.67 1.2 11.59 0. 0.
time (sec) N/A 0.048 0.011 0.056 1.525 2.346 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 81 6782 65 625 0 0
normalized size 1 1. 1.45 121.11 1.16 11.16 0. 0.
time (sec) N/A 0.048 0.011 17.115 1.538 2.113 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 75 82 58 462 0 0
normalized size 1 1. 1.47 1.61 1.14 9.06 0. 0.
time (sec) N/A 0.046 0.011 0.036 1.53 2.182 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 75 82 59 450 0 0
normalized size 1 1. 1.53 1.67 1.2 9.18 0. 0.
time (sec) N/A 0.047 0.012 0.043 1.529 2.13 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 81 6531 66 498 0 0
normalized size 1 1. 1.45 116.62 1.18 8.89 0. 0.
time (sec) N/A 0.049 0.013 2.596 1.52 2.144 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 118 81 396 0 0
normalized size 1 1. 1. 2.57 1.76 8.61 0. 0.
time (sec) N/A 0.052 0.006 0.033 2.065 2.201 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 118 82 355 0 0
normalized size 1 1. 0.96 2.62 1.82 7.89 0. 0.
time (sec) N/A 0.054 0.02 0.105 1.932 2.302 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 0 88 435 0 0
normalized size 1 1. 1. 0. 1.73 8.53 0. 0.
time (sec) N/A 0.054 0.022 0.118 2.427 2.154 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 41 89 117 396 0 0
normalized size 1 1. 0.89 1.93 2.54 8.61 0. 0.
time (sec) N/A 0.053 0.012 0.033 2.163 2.19 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 42 88 117 365 0 0
normalized size 1 1. 0.93 1.96 2.6 8.11 0. 0.
time (sec) N/A 0.058 0.017 0.035 1.955 2.01 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 0 123 435 0 0
normalized size 1 1. 1. 0. 2.41 8.53 0. 0.
time (sec) N/A 0.06 0.022 0.154 2.216 2.137 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 13 72 23 51 0 18
normalized size 1 1. 0.62 3.43 1.1 2.43 0. 0.86
time (sec) N/A 0.021 0.004 0.046 1.016 2.241 0. 1.348
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 8 27 0 8
normalized size 1 1. 1. 1.17 1.33 4.5 0. 1.33
time (sec) N/A 0.016 0.014 0.013 1.004 2.244 0. 1.26
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 25 35 8 15 0 8
normalized size 1 1. 0.68 0.95 0.22 0.41 0. 0.22
time (sec) N/A 0.028 0.035 0.02 1.01 2.214 0. 1.297
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 61 127 68 15 16
normalized size 1 1. 1. 5.08 10.58 5.67 1.25 1.33
time (sec) N/A 0.023 0.017 0.04 1.5 2.197 137.984 1.216
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 26 0 9
normalized size 1 1. 1. 0.89 1. 2.89 0. 1.
time (sec) N/A 0.016 0.004 0.011 0.996 2.193 0. 1.163
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 15 17 22 92 17 22
normalized size 1 1. 0.75 0.85 1.1 4.6 0.85 1.1
time (sec) N/A 0.039 0.015 0.007 0.996 2.264 5.832 1.174
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 33 32 57 189 0 57
normalized size 1 1. 0.66 0.64 1.14 3.78 0. 1.14
time (sec) N/A 0.026 0.01 0.031 1.078 2.609 0. 1.478
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 8 26 0 9
normalized size 1 1. 1. 1.17 1.33 4.33 0. 1.5
time (sec) N/A 0.022 0.008 0.007 0.998 2.166 0. 1.305
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 27 8 9
normalized size 1 1. 1. 0.89 1. 3. 0.89 1.
time (sec) N/A 0.015 0.003 0.009 0.994 2.159 7.459 1.256
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 11 14 41 10 14
normalized size 1 1. 1. 1.1 1.4 4.1 1. 1.4
time (sec) N/A 0.008 0.007 0.004 0.993 2.262 0.947 1.195
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 43 73 146 100 223 36
normalized size 1 1. 3.07 5.21 10.43 7.14 15.93 2.57
time (sec) N/A 0.02 0.011 0.017 1.007 2.396 3.287 1.197
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 15 39 10 15
normalized size 1 1. 1. 1.09 1.36 3.55 0.91 1.36
time (sec) N/A 0.009 0.003 0.005 1.008 2.125 0.946 1.174
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 59 146 140 462 0 0
normalized size 1 1. 0.8 1.97 1.89 6.24 0. 0.
time (sec) N/A 0.109 0.056 0.033 2.381 2.622 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 47 134 242 169 445 55
normalized size 1 1. 1.18 3.35 6.05 4.22 11.12 1.38
time (sec) N/A 0.067 0.04 0.032 1.005 2.25 15.177 1.299
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 88 0 188 0 0 0
normalized size 1 1. 1.11 0. 2.38 0. 0. 0.
time (sec) N/A 0.102 0.032 0.017 1.065 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 72 109 68 17 26
normalized size 1 1. 1. 4.8 7.27 4.53 1.13 1.73
time (sec) N/A 0.021 0.014 0.055 1.501 2.224 106.402 1.308
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 58 49 393 0 70
normalized size 1 1. 0.86 1.66 1.4 11.23 0. 2.
time (sec) N/A 0.079 0.044 0.035 1.163 2.099 0. 1.321
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 97 90 859 0 123
normalized size 1 1. 0.76 1.47 1.36 13.02 0. 1.86
time (sec) N/A 0.143 0.099 0.036 1.154 1.86 0. 1.373
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 67 116 149 1669 0 130
normalized size 1 1. 0.75 1.3 1.67 18.75 0. 1.46
time (sec) N/A 0.517 0.1 0.034 1.249 1.94 0. 1.331
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 58 50 393 0 73
normalized size 1 1. 0.86 1.66 1.43 11.23 0. 2.09
time (sec) N/A 0.07 0.038 0.019 1.189 1.788 0. 1.268
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 97 90 859 0 120
normalized size 1 1. 0.76 1.47 1.36 13.02 0. 1.82
time (sec) N/A 0.132 0.065 0.024 1.181 1.974 0. 1.319
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 66 116 150 1669 0 131
normalized size 1 1. 0.75 1.32 1.7 18.97 0. 1.49
time (sec) N/A 0.483 0.141 0.035 1.23 2.001 0. 1.319
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 36 295 58 197 0 0
normalized size 1 1. 0.92 7.56 1.49 5.05 0. 0.
time (sec) N/A 0.059 0.02 0.126 1.285 2.021 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 454 58 246 0 0
normalized size 1 1. 0.94 12.97 1.66 7.03 0. 0.
time (sec) N/A 0.06 0.018 0.157 1.254 2.014 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 0 63 225 0 0
normalized size 1 1. 0.98 0. 1.43 5.11 0. 0.
time (sec) N/A 0.06 0.027 0.104 1.2 1.908 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 36 321 43 219 0 0
normalized size 1 1. 0.92 8.23 1.1 5.62 0. 0.
time (sec) N/A 0.056 0.018 0.109 1.709 2.002 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 478 43 267 0 0
normalized size 1 1. 0.94 13.66 1.23 7.63 0. 0.
time (sec) N/A 0.056 0.018 0.148 1.702 1.944 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 0 49 247 0 0
normalized size 1 1. 0.98 0. 1.11 5.61 0. 0.
time (sec) N/A 0.057 0.028 0.078 1.679 2.082 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 35 24 73 373 0 0
normalized size 1 1. 0.9 0.62 1.87 9.56 0. 0.
time (sec) N/A 0.044 0.007 0.014 1.572 1.972 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 49 70 76 375 0 0
normalized size 1 1. 1.2 1.71 1.85 9.15 0. 0.
time (sec) N/A 0.044 0.007 0.027 1.599 2.038 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 47 47 77 454 0 0
normalized size 1 1. 1.27 1.27 2.08 12.27 0. 0.
time (sec) N/A 0.047 0.01 0.03 1.548 1.969 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 55 43 82 412 0 0
normalized size 1 1. 1.2 0.93 1.78 8.96 0. 0.
time (sec) N/A 0.049 0.01 0.023 1.892 1.932 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 35 24 66 373 0 0
normalized size 1 1. 0.9 0.62 1.69 9.56 0. 0.
time (sec) N/A 0.046 0.007 0.013 1.59 1.981 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 49 70 69 375 0 0
normalized size 1 1. 1.2 1.71 1.68 9.15 0. 0.
time (sec) N/A 0.044 0.008 0.014 1.557 1.932 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 47 47 80 454 0 0
normalized size 1 1. 1.27 1.27 2.16 12.27 0. 0.
time (sec) N/A 0.048 0.01 0.017 1.543 2.136 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 55 43 82 412 0 0
normalized size 1 1. 1.2 0.93 1.78 8.96 0. 0.
time (sec) N/A 0.049 0.012 0.021 1.744 1.928 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 37 314 42 306 0 0
normalized size 1 1. 0.97 8.26 1.11 8.05 0. 0.
time (sec) N/A 0.053 0.015 0.111 1.709 1.943 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 480 43 363 0 0
normalized size 1 1. 0.94 13.71 1.23 10.37 0. 0.
time (sec) N/A 0.053 0.018 0.142 1.673 2.041 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 0 49 332 0 0
normalized size 1 1. 1. 0. 1.14 7.72 0. 0.
time (sec) N/A 0.055 0.023 0.085 1.655 2.009 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 37 293 50 285 0 0
normalized size 1 1. 0.97 7.71 1.32 7.5 0. 0.
time (sec) N/A 0.054 0.016 0.102 1.215 1.88 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 456 61 339 0 0
normalized size 1 1. 0.94 13.03 1.74 9.69 0. 0.
time (sec) N/A 0.058 0.017 0.135 1.215 1.935 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 0 63 311 0 0
normalized size 1 1. 1. 0. 1.47 7.23 0. 0.
time (sec) N/A 0.064 0.022 0.106 1.209 2.003 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 33 32 151 782 0 127
normalized size 1 1. 0.66 0.64 3.02 15.64 0. 2.54
time (sec) N/A 0.029 0.011 0.034 1.071 1.916 0. 1.344
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 14 16 228 14 42
normalized size 1 1. 1. 1.08 1.23 17.54 1.08 3.23
time (sec) N/A 0.019 0.008 0.013 1.025 1.797 1.001 1.251
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 11 14 18 32 60 18
normalized size 1 1. 0.65 0.82 1.06 1.88 3.53 1.06
time (sec) N/A 0.007 0.002 0.007 1.029 1.815 1.88 1.313
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 26 25 32 59 27 32
normalized size 1 1. 0.96 0.93 1.19 2.19 1. 1.19
time (sec) N/A 0.021 0.004 0.001 1.065 1.842 0.126 1.331
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 61 0 4
normalized size 1 1. 1. 1.33 1.33 20.33 0. 1.33
time (sec) N/A 0.034 0.018 0.008 1.507 1.77 0. 1.321
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 30 23 23 55 22 30
normalized size 1 1. 1.25 0.96 0.96 2.29 0.92 1.25
time (sec) N/A 0.023 0.001 0.003 1.046 1.787 0.105 1.347
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 23 32 31 53 29 31
normalized size 1 1. 0.92 1.28 1.24 2.12 1.16 1.24
time (sec) N/A 0.01 0.004 0.001 1.021 1.748 0.319 1.311
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 30 31 32 61 22 41
normalized size 1 1. 0.88 0.91 0.94 1.79 0.65 1.21
time (sec) N/A 0.014 0.006 0.001 1.064 1.855 0.113 1.256
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 39 38 70 27 57
normalized size 1 1. 1. 0.98 0.95 1.75 0.68 1.42
time (sec) N/A 0.016 0.008 0.003 1.043 1.863 0.118 1.214
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 26 34 69 26 34
normalized size 1 1. 1. 0.84 1.1 2.23 0.84 1.1
time (sec) N/A 0.029 0.008 0.005 1.565 1.848 0.134 1.341
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 23 0 57 20 30
normalized size 1 1. 1. 0.88 0. 2.19 0.77 1.15
time (sec) N/A 0.004 0.016 0.004 0. 1.739 5.467 1.184
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 23 0 57 20 30
normalized size 1 1. 1. 0.88 0. 2.19 0.77 1.15
time (sec) N/A 0.004 0.016 0.004 0. 1.95 9.581 1.231
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 23 0 57 20 30
normalized size 1 1. 1. 0.88 0. 2.19 0.77 1.15
time (sec) N/A 0.005 0.018 0.001 0. 1.847 11.131 1.2
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 52 0 92 0 54
normalized size 1 1. 1. 1.21 0. 2.14 0. 1.26
time (sec) N/A 0.012 0.024 0.006 0. 1.883 0. 1.218
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 15 14 18 45 66 18
normalized size 1 1. 0.71 0.67 0.86 2.14 3.14 0.86
time (sec) N/A 0.007 0.002 0.004 1.063 1.934 3.095 1.319
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 12 13 32 46 10 19
normalized size 1 1. 0.92 1. 2.46 3.54 0.77 1.46
time (sec) N/A 0.005 0.003 0.013 1.026 1.894 0.418 1.218
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 19 14 3 8
normalized size 1 1. 1. 1.17 3.17 2.33 0.5 1.33
time (sec) N/A 0.01 0.001 0.001 1.091 1.713 0.09 1.319
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 38 34 45 130 158 45
normalized size 1 1. 1.19 1.06 1.41 4.06 4.94 1.41
time (sec) N/A 0.205 0.014 0.005 1.068 1.81 1.052 1.317
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 17 22 49 15 22
normalized size 1 1. 1. 1.06 1.38 3.06 0.94 1.38
time (sec) N/A 0.007 0.002 0.004 1.498 1.804 0.133 1.234
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 22 39 70 34 31
normalized size 1 1. 1. 1.1 1.95 3.5 1.7 1.55
time (sec) N/A 0.005 0.007 0.007 0.991 1.808 0.505 1.212
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 31 44 45 97 32 47
normalized size 1 1. 0.89 1.26 1.29 2.77 0.91 1.34
time (sec) N/A 0.006 0.005 0.01 1.007 1.777 0.161 1.199
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 14 16 41 15 23
normalized size 1 1. 1. 1.17 1.33 3.42 1.25 1.92
time (sec) N/A 0.003 0.002 0.007 1.039 1.844 0.106 1.244
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 27 39 38 82 27 39
normalized size 1 1. 0.75 1.08 1.06 2.28 0.75 1.08
time (sec) N/A 0.015 0.009 0.014 1.101 1.799 0.131 1.338
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 53 57 135 48 58
normalized size 1 1. 1. 0.98 1.06 2.5 0.89 1.07
time (sec) N/A 0.039 0.013 0.016 1.056 1.868 0.15 1.272
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 55 70 96 41 42
normalized size 1 1. 0.94 1.57 2. 2.74 1.17 1.2
time (sec) N/A 0.015 0.021 0.003 1.091 1.843 0.34 1.315
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 44 82 100 139 63 42
normalized size 1 1. 1.26 2.34 2.86 3.97 1.8 1.2
time (sec) N/A 0.025 0.017 0.001 1.061 1.763 0.365 1.327
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 30 10 18
normalized size 1 1. 1. 0.93 1.2 2. 0.67 1.2
time (sec) N/A 0.018 0.002 0.002 1.09 1.782 0.292 1.181
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 21 32 42 47 26 42
normalized size 1 1. 0.68 1.03 1.35 1.52 0.84 1.35
time (sec) N/A 0.022 0.006 0.003 0.998 1.821 0.345 1.311
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 30 96 0 112 0 0
normalized size 1 1. 0.68 2.18 0. 2.55 0. 0.
time (sec) N/A 0.03 0.014 0.013 0. 1.837 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 19 32 51 34 61
normalized size 1 1. 1. 1.06 1.78 2.83 1.89 3.39
time (sec) N/A 0.011 0.017 0.004 1.081 1.919 1.1 1.216
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 24 0 324 126 35
normalized size 1 1. 1. 0.75 0. 10.12 3.94 1.09
time (sec) N/A 0.018 0.024 0.007 0. 1.901 8.803 1.359
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 112 120 0 1335 340 328
normalized size 1 1. 0.78 0.83 0. 9.27 2.36 2.28
time (sec) N/A 0.094 0.049 0.006 0. 2.014 79.709 1.305
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 167 168 0 502 257 271
normalized size 1 1. 0.74 0.74 0. 2.21 1.13 1.19
time (sec) N/A 0.162 0.064 0.008 0. 2.013 66.928 1.432
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 34 35 45 77 0 72
normalized size 1 1. 1.26 1.3 1.67 2.85 0. 2.67
time (sec) N/A 0.023 0.015 0.006 1.045 1.895 0. 1.301
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 47 43 0 366 0 51
normalized size 1 1. 1.18 1.08 0. 9.15 0. 1.27
time (sec) N/A 0.027 0.024 0.006 0. 1.965 0. 1.276
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 132 136 0 406 0 431
normalized size 1 1. 0.89 0.91 0. 2.72 0. 2.89
time (sec) N/A 0.109 0.05 0.006 0. 1.96 0. 1.39
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 211 181 0 505 0 365
normalized size 1 1. 0.91 0.78 0. 2.17 0. 1.57
time (sec) N/A 0.183 0.066 0.01 0. 1.975 0. 1.335
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 20 0 76 22 26
normalized size 1 1. 1. 0.91 0. 3.45 1. 1.18
time (sec) N/A 0.018 0.029 0.007 0. 1.727 0.165 1.799
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 42 38 50 127 22 50
normalized size 1 1. 1.02 0.93 1.22 3.1 0.54 1.22
time (sec) N/A 0.058 0.089 0.005 1.525 1.849 0.179 1.232
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 42 38 0 127 22 50
normalized size 1 1. 1.02 0.93 0. 3.1 0.54 1.22
time (sec) N/A 0.033 0.073 0.005 0. 1.766 0.196 1.31
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 44 40 0 136 19 53
normalized size 1 1. 1.05 0.95 0. 3.24 0.45 1.26
time (sec) N/A 0.046 0.089 0.006 0. 1.948 0.179 1.341
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 27 23 58 27 30
normalized size 1 1. 1. 0.84 0.72 1.81 0.84 0.94
time (sec) N/A 0.021 0.002 0.003 0.993 1.754 0.131 1.352
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 59 0 0 0 0 0
normalized size 1 1. 1.48 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.011 0.025 0. 0. 0. 0.
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 60 0 0 0 0 0
normalized size 1 1. 1.54 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.012 0.016 0. 0. 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 62 0 0 0 0 43
normalized size 1 1. 1.44 0. 0. 0. 0. 1.
time (sec) N/A 0.031 0.01 0.045 0. 0. 0. 1.275
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 121 102 0 0 0 0
normalized size 1 1. 0.99 0.84 0. 0. 0. 0.
time (sec) N/A 0.145 0.075 0.01 0. 0. 0. 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 73 114 150 0 0 0
normalized size 1 1. 0.9 1.41 1.85 0. 0. 0.
time (sec) N/A 0.099 0.029 0.026 1.011 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 5 16 22 10 0
normalized size 1 1. 1. 0.56 1.78 2.44 1.11 0.
time (sec) N/A 0.009 0.002 0.001 1.036 2.068 1.925 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 35 77 111 0 0 0
normalized size 1 1. 0.81 1.79 2.58 0. 0. 0.
time (sec) N/A 0.073 0.018 0.003 1.033 0. 0. 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 31 31 66 0 192 0
normalized size 1 1. 1.03 1.03 2.2 0. 6.4 0.
time (sec) N/A 0.099 0.01 0.013 1.029 0. 83.659 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 8 9 22 0 0
normalized size 1 1. 1. 1.14 1.29 3.14 0. 0.
time (sec) N/A 0.027 0.109 0.017 1.265 2.194 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 57 77 151 46 80
normalized size 1 1. 0.93 0.84 1.13 2.22 0.68 1.18
time (sec) N/A 0.251 0.032 0.021 1.689 2.14 0.228 1.375
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 24 31 103 24 31
normalized size 1 1. 1. 0.83 1.07 3.55 0.83 1.07
time (sec) N/A 0.018 0.012 0.002 1.035 2.236 4.507 1.345
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 28 24 43 14 26
normalized size 1 1. 1. 1.56 1.33 2.39 0.78 1.44
time (sec) N/A 0.004 0.002 0.011 1.077 1.94 0.106 1.309
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 21 35 34 53 15 30
normalized size 1 1. 0.78 1.3 1.26 1.96 0.56 1.11
time (sec) N/A 0.005 0.003 0.007 1.007 2.103 0.119 1.323
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 60 112 73 157 41 76
normalized size 1 1. 1.05 1.96 1.28 2.75 0.72 1.33
time (sec) N/A 0.057 0.046 0.033 1.583 2.11 0.194 1.372
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 62 249 0 0 0 0
normalized size 1 1. 1.03 4.15 0. 0. 0. 0.
time (sec) N/A 0.081 0.006 0.092 0. 0. 0. 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 239 158 0 0 0 0
normalized size 1 1. 3.92 2.59 0. 0. 0. 0.
time (sec) N/A 0.105 0.044 0.02 0. 0. 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 373 0 0 0 0 0
normalized size 1 1. 2.26 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.194 180. 0. 0. 0. 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 29 29 134 0 0 92 0 0
normalized size 1 1. 4.62 0. 0. 3.17 0. 0.
time (sec) N/A 0.034 0.617 0.043 0. 2.194 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 29 29 134 0 0 92 0 0
normalized size 1 1. 4.62 0. 0. 3.17 0. 0.
time (sec) N/A 0.034 0.536 0.021 0. 2.185 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 15 14 23 8 14
normalized size 1 1. 1. 0.88 0.82 1.35 0.47 0.82
time (sec) N/A 0.003 0.003 0.003 1.084 1.931 0.088 1.295
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 25 27 0 45 34 22
normalized size 1 1. 0.93 1. 0. 1.67 1.26 0.81
time (sec) N/A 0.009 0.024 0.007 0. 2.083 2.811 1.373
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 31 25 34 35 55 0 35
normalized size 1 1.24 1. 1.36 1.4 2.2 0. 1.4
time (sec) N/A 0.053 0.016 0.003 1.052 2.059 0. 1.196
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 22 26 32 53 26 32
normalized size 1 1. 0.85 1. 1.23 2.04 1. 1.23
time (sec) N/A 0.035 0.015 0.016 1.134 2.15 6.917 1.307
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 6.503 0.01 0. 0. 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 10 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 5.362 0.01 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 8 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.008 0.006 0.009 0. 0. 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.032 0.038 0.01 0. 0. 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 6.469 0.01 0. 0. 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 12 34 10 15
normalized size 1 1. 1. 0.92 0.92 2.62 0.77 1.15
time (sec) N/A 0.024 0.008 0.003 1.197 2.125 0.116 1.335
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 10 11 14 35 8 19
normalized size 1 1. 1.11 1.22 1.56 3.89 0.89 2.11
time (sec) N/A 0.072 0.051 0.01 1.193 2.157 0.115 1.348
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 0 0 68 15 0
normalized size 1 1. 1. 0. 0. 5.23 1.15 0.
time (sec) N/A 0.142 0.039 0.013 0. 2.14 2.144 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 53 107 90 138 53 157
normalized size 1 1. 0.79 1.6 1.34 2.06 0.79 2.34
time (sec) N/A 0.074 0.031 0.046 1.019 2.256 161.722 1.341
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 53 0 92 139 53 0
normalized size 1 1. 1.06 0. 1.84 2.78 1.06 0.
time (sec) N/A 0.057 0.037 180. 1.035 2.182 160.093 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 19 22 24 53 17 26
normalized size 1 1. 0.9 1.05 1.14 2.52 0.81 1.24
time (sec) N/A 0.008 0.003 0.006 1.01 2.038 0.108 1.252
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 53 0 92 139 53 0
normalized size 1 1. 1.06 0. 1.84 2.78 1.06 0.
time (sec) N/A 0.049 0.036 180. 0.994 2.086 154.442 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 64 108 90 138 53 157
normalized size 1 1. 0.93 1.57 1.3 2. 0.77 2.28
time (sec) N/A 0.052 0.027 0.036 1.059 2.196 153.419 1.382
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 11 12 15 10 0
normalized size 1 1. 1. 1.22 1.33 1.67 1.11 0.
time (sec) N/A 0.022 0.013 0.013 1.232 2.143 0.298 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 0 50 0 0
normalized size 1 1. 1. 0. 0. 1.92 0. 0.
time (sec) N/A 0.025 0.014 0.043 0. 2.108 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 72 0 146 0 0 120
normalized size 1 1. 1.2 0. 2.43 0. 0. 2.
time (sec) N/A 0.069 0.11 0.02 1.223 0. 0. 1.357
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 71 0 127 0 0 100
normalized size 1 1. 1.11 0. 1.98 0. 0. 1.56
time (sec) N/A 0.068 0.091 0.02 1.219 0. 0. 1.266
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 80 0 211 0 0 174
normalized size 1 1. 1.16 0. 3.06 0. 0. 2.52
time (sec) N/A 0.069 0.146 0.023 1.271 0. 0. 1.367
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 79 0 176 0 0 143
normalized size 1 1. 1.11 0. 2.48 0. 0. 2.01
time (sec) N/A 0.079 0.13 0.02 1.325 0. 0. 1.418
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 95 0 127 848 0 0
normalized size 1 1. 0.97 0. 1.3 8.65 0. 0.
time (sec) N/A 0.29 0.059 0.273 2.041 2.592 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 79 0 95 662 0 0
normalized size 1 1. 0.99 0. 1.19 8.28 0. 0.
time (sec) N/A 0.182 0.039 0.207 2.03 2.518 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 47 368 58 427 0 0
normalized size 1 1. 0.9 7.08 1.12 8.21 0. 0.
time (sec) N/A 0.062 0.031 0.167 1.946 2.389 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.019 2.255 0.417 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.345 1.93 0.434 0. 0. 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 100 0 127 869 0 0
normalized size 1 1. 0.97 0. 1.23 8.44 0. 0.
time (sec) N/A 0.203 0.063 0.367 2.075 2.586 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A C F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 82 0 95 682 0 0
normalized size 1 1. 0.96 0. 1.12 8.02 0. 0.
time (sec) N/A 0.139 0.067 0.329 2.089 2.506 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 56 583 58 447 0 0
normalized size 1 1. 0.98 10.23 1.02 7.84 0. 0.
time (sec) N/A 0.064 0.03 0.244 1.81 2.421 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.79 0.605 0. 0. 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 2.265 0.622 0. 0. 0. 0.

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [207] had the largest ratio of [ 1.667 ]

Table 2.1Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 0 0 0. 0 0.
2 A 10 5 1. 32 0.156
3 A 8 5 1. 32 0.156
4 A 6 5 1. 30 0.167
5 A 2 2 1. 14 0.143
6 A 0 0 0. 0 0.
7 A 0 0 0. 0 0.
8 A 0 0 0. 0 0.
9 A 13 5 1. 28 0.179
10 A 8 5 1. 28 0.179
11 A 5 4 1. 26 0.154
12 A 1 1 1. 10 0.1
13 A 0 0 0. 0 0.
14 A 0 0 0. 0 0.
15 A 0 0 0. 0 0.
16 A 1 1 1. 43 0.023
17 A 1 1 1. 43 0.023
18 A 1 1 1. 41 0.024
19 A 4 3 1. 25 0.12
20 A 1 1 1. 43 0.023
21 A 1 1 1. 43 0.023
22 A 1 1 1. 43 0.023
23 A 3 2 1. 39 0.051
24 A 3 2 1. 37 0.054
25 A 2 1 1. 15 0.067
26 A 2 2 1. 34 0.059
27 A 3 2 1. 37 0.054
28 A 3 2 1. 39 0.051
29 A 2 2 1. 45 0.044
30 A 0 0 0. 0 0.
31 A 9 4 1. 40 0.1
32 A 7 4 1. 40 0.1
33 A 5 4 1. 38 0.105
34 A 4 3 1. 22 0.136
35 A 0 0 0. 0 0.
36 A 0 0 0. 0 0.
37 A 0 0 0. 0 0.
38 A 1 1 1. 60 0.017
39 A 0 0 0. 0 0.
40 A 1 1 1. 39 0.026
41 A 1 1 1. 40 0.025
42 A 1 1 1. 41 0.024
43 A 1 1 1. 42 0.024
44 A 1 1 1. 40 0.025
45 A 1 1 1. 41 0.024
46 A 3 3 1. 19 0.158
47 A 3 3 1. 21 0.143
48 A 3 3 1. 19 0.158
49 A 3 3 1. 17 0.176
50 A 4 3 1. 15 0.2
51 A 1 1 1. 19 0.053
52 A 3 3 1. 19 0.158
53 A 3 3 1. 19 0.158
54 A 3 3 1. 19 0.158
55 A 2 2 1. 9 0.222
56 A 1 1 1. 13 0.077
57 A 3 3 1. 11 0.273
58 A 1 1 1. 15 0.067
59 A 3 3 1. 18 0.167
60 A 3 2 1. 18 0.111
61 A 3 2 1. 18 0.111
62 A 3 2 1. 18 0.111
63 A 3 2 1. 16 0.125
64 A 3 2 1. 14 0.143
65 A 7 6 1. 18 0.333
66 A 3 2 1. 18 0.111
67 A 3 2 1. 18 0.111
68 A 3 2 1. 18 0.111
69 A 3 2 1. 18 0.111
70 A 5 3 1. 19 0.158
71 A 7 6 1. 19 0.316
72 A 7 6 1. 19 0.316
73 A 7 6 1. 19 0.316
74 A 7 6 1. 17 0.353
75 A 6 6 1. 15 0.4
76 A 7 4 1. 19 0.21
77 A 7 6 1. 19 0.316
78 A 7 6 1. 19 0.316
79 A 7 6 1. 19 0.316
80 A 7 6 1. 19 0.316
81 A 6 6 1. 7 0.857
82 A 7 6 1. 23 0.261
83 A 7 6 1. 23 0.261
84 A 7 6 1. 23 0.261
85 A 7 6 1. 21 0.286
86 A 6 6 1. 15 0.4
87 A 9 5 1. 23 0.217
88 A 7 6 1. 23 0.261
89 A 7 6 1. 23 0.261
90 A 7 6 1. 23 0.261
91 A 7 6 1. 23 0.261
92 A 6 7 1. 25 0.28
93 A 8 9 1. 32 0.281
94 A 20 6 1. 25 0.24
95 A 20 6 1. 28 0.214
96 A 14 10 1. 16 0.625
97 A 27 14 1. 17 0.824
98 A 28 12 1. 21 0.571
99 A 27 14 1. 9 1.556
100 A 34 16 1. 13 1.231
101 A 25 11 1. 21 0.524
102 A 20 10 1. 21 0.476
103 A 16 10 1. 19 0.526
104 A 13 9 1. 17 0.529
105 A 0 0 0. 0 0.
106 A 19 11 1. 21 0.524
107 A 20 12 1. 21 0.571
108 A 15 12 1. 23 0.522
109 A 13 12 1. 23 0.522
110 A 12 10 1. 23 0.435
111 A 15 13 1. 23 0.565
112 A 18 13 1. 23 0.565
113 A 6 5 1. 12 0.417
114 A 5 5 1. 12 0.417
115 A 4 4 1. 10 0.4
116 A 4 4 1. 8 0.5
117 A 0 0 0. 0 0.
118 A 5 4 1. 20 0.2
119 A 4 4 1. 20 0.2
120 A 3 3 1. 18 0.167
121 A 2 2 1. 16 0.125
122 A 0 0 0. 0 0.
123 A 6 5 1. 20 0.25
124 A 5 5 1. 20 0.25
125 A 4 4 1. 18 0.222
126 A 4 4 1. 16 0.25
127 A 0 0 0. 0 0.
128 A 3 3 1. 16 0.188
129 A 2 2 1. 10 0.2
130 A 2 2 1. 12 0.167
131 A 2 2 1. 10 0.2
132 A 2 2 1. 10 0.2
133 A 2 1 1. 12 0.083
134 A 3 2 1. 14 0.143
135 A 2 1 1. 16 0.062
136 A 2 1 1. 14 0.071
137 A 7 6 1. 16 0.375
138 A 2 1 1. 15 0.067
139 A 2 2 1. 8 0.25
140 A 3 2 1. 9 0.222
141 A 3 2 1. 16 0.125
142 A 3 2 1. 16 0.125
143 A 4 3 1. 18 0.167
144 A 3 2 1. 16 0.125
145 A 3 2 1. 14 0.143
146 A 3 2 1. 16 0.125
147 A 4 4 1. 16 0.25
148 A 3 1 1. 20 0.05
149 A 3 2 1. 14 0.143
150 A 3 2 1. 14 0.143
151 A 3 2 1. 16 0.125
152 A 3 2 1. 16 0.125
153 A 4 3 1. 10 0.3
154 A 5 6 1. 9 0.667
155 A 5 6 1. 11 0.546
156 A 15 8 1. 11 0.727
157 A 5 6 1. 9 0.667
158 A 7 8 1. 11 0.727
159 A 15 8 1. 11 0.727
160 A 4 3 1. 12 0.25
161 A 5 5 1. 5 1.
162 A 6 6 1. 7 0.857
163 A 6 6 1. 7 0.857
164 A 5 5 1. 5 1.
165 A 6 6 1. 7 0.857
166 A 6 6 1. 7 0.857
167 A 7 5 1. 5 1.
168 A 8 6 1. 7 0.857
169 A 8 6 1. 7 0.857
170 A 7 5 1. 5 1.
171 A 8 6 1. 7 0.857
172 A 8 6 1. 7 0.857
173 A 5 5 1. 5 1.
174 A 6 6 1. 7 0.857
175 A 6 6 1. 7 0.857
176 A 5 5 1. 5 1.
177 A 6 6 1. 7 0.857
178 A 6 6 1. 7 0.857
179 A 3 3 1. 16 0.188
180 A 3 2 1. 10 0.2
181 A 5 4 1. 10 0.4
182 A 3 4 1. 8 0.5
183 A 2 3 1. 6 0.5
184 A 4 4 1. 10 0.4
185 A 2 2 1. 35 0.057
186 A 3 3 1. 8 0.375
187 A 2 3 1. 6 0.5
188 A 2 2 1. 6 0.333
189 A 4 5 1. 6 0.833
190 A 2 2 1. 6 0.333
191 A 10 9 1. 8 1.125
192 A 7 7 1. 8 0.875
193 A 8 8 1. 7 1.143
194 A 3 4 1. 8 0.5
195 A 5 6 1. 9 0.667
196 A 7 8 1. 11 0.727
197 A 15 8 1. 11 0.727
198 A 5 6 1. 9 0.667
199 A 7 8 1. 11 0.727
200 A 15 8 1. 11 0.727
201 A 5 5 1. 5 1.
202 A 6 6 1. 7 0.857
203 A 6 6 1. 7 0.857
204 A 5 5 1. 5 1.
205 A 6 6 1. 7 0.857
206 A 6 6 1. 7 0.857
207 A 7 5 1. 3 1.667
208 A 7 5 1. 5 1.
209 A 8 6 1. 7 0.857
210 A 8 6 1. 7 0.857
211 A 7 5 1. 3 1.667
212 A 7 5 1. 5 1.
213 A 8 6 1. 7 0.857
214 A 8 6 1. 7 0.857
215 A 5 5 1. 5 1.
216 A 6 6 1. 7 0.857
217 A 6 6 1. 7 0.857
218 A 5 5 1. 5 1.
219 A 6 6 1. 7 0.857
220 A 6 6 1. 7 0.857
221 A 2 2 1. 35 0.057
222 A 3 3 1. 8 0.375
223 A 1 1 1. 8 0.125
224 A 3 3 1. 10 0.3
225 A 2 1 1. 16 0.062
226 A 3 3 1. 9 0.333
227 A 2 2 1. 10 0.2
228 A 3 2 1. 10 0.2
229 A 3 2 1. 12 0.167
230 A 4 3 1. 8 0.375
231 A 2 2 1. 12 0.167
232 A 2 2 1. 12 0.167
233 A 2 2 1. 14 0.143
234 A 6 6 1. 14 0.429
235 A 1 1 1. 8 0.125
236 A 2 2 1. 4 0.5
237 A 1 1 1. 10 0.1
238 A 3 1 1. 11 0.091
239 A 3 3 1. 6 0.5
240 A 2 2 1. 8 0.25
241 A 2 2 1. 14 0.143
242 A 2 2 1. 6 0.333
243 A 4 3 1. 10 0.3
244 A 4 3 1. 14 0.214
245 A 2 2 1. 12 0.167
246 A 2 2 1. 14 0.143
247 A 2 2 1. 14 0.143
248 A 2 2 1. 14 0.143
249 A 2 2 1. 14 0.143
250 A 2 1 1. 15 0.067
251 A 2 1 1. 17 0.059
252 A 7 6 1. 17 0.353
253 A 10 6 1. 17 0.353
254 A 3 1 1. 17 0.059
255 A 3 2 1. 17 0.118
256 A 8 7 1. 17 0.412
257 A 11 7 1. 17 0.412
258 A 3 2 1. 18 0.111
259 A 5 4 1. 26 0.154
260 A 5 4 1. 21 0.19
261 A 7 5 1. 27 0.185
262 A 2 2 1. 10 0.2
263 A 3 3 1. 12 0.25
264 A 3 3 1. 12 0.25
265 A 3 3 1. 12 0.25
266 A 8 7 1. 15 0.467
267 A 7 7 1. 15 0.467
268 A 1 1 1. 8 0.125
269 A 6 6 1. 19 0.316
270 A 5 4 1. 19 0.21
271 A 2 1 1. 14 0.071
272 A 8 7 1. 24 0.292
273 A 4 3 1. 8 0.375
274 A 2 2 1. 9 0.222
275 A 2 2 1. 10 0.2
276 A 8 6 1. 22 0.273
277 A 5 6 1. 18 0.333
278 A 5 6 1. 20 0.3
279 A 5 6 1. 25 0.24
280 A 1 1 1. 39 0.026
281 A 1 1 1. 39 0.026
282 A 2 2 1. 8 0.25
283 A 3 3 1. 10 0.3
284 A 5 5 1.24 12 0.417
285 A 3 4 1. 10 0.4
286 A 0 0 0. 0 0.
287 A 0 0 0. 0 0.
288 A 0 0 0. 0 0.
289 A 0 0 0. 0 0.
290 A 0 0 0. 0 0.
291 A 2 2 1. 14 0.143
292 A 2 2 1. 16 0.125
293 A 8 6 1. 14 0.429
294 A 5 3 1. 14 0.214
295 A 6 4 1. 14 0.286
296 A 4 4 1. 12 0.333
297 A 5 3 1. 14 0.214
298 A 7 4 1. 14 0.286
299 A 2 1 1. 14 0.071
300 A 3 3 1. 6 0.5
301 A 4 4 1. 13 0.308
302 A 4 4 1. 14 0.286
303 A 4 4 1. 17 0.235
304 A 4 4 1. 18 0.222
305 A 13 13 1. 10 1.3
306 A 12 12 1. 8 1.5
307 A 7 6 1. 6 1.
308 A 0 0 0. 0 0.
309 A 0 0 0. 0 0.
310 A 14 12 1. 13 0.923
311 A 13 11 1. 11 1.
312 A 7 6 1. 9 0.667
313 A 0 0 0. 0 0.
314 A 0 0 0. 0 0.

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