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

Chapter 2
detailed summary tables of results

 2.1 List of integrals sorted by grade for each CAS
  2.1.1 Rubi
  2.1.2 Mathematica
  2.1.3 Maple
  2.1.4 Maxima
  2.1.5 FriCAS
  2.1.6 Sympy
  2.1.7 Giac
  2.1.8 Mupad
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 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, 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, 294 }

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, 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, 169, 172, 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: { 5, 6, 7, 8, 12, 13, 14, 15, 19, 20, 21, 25, 27, 29, 34, 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, 118, 119, 120, 122, 123, 124, 125, 126, 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, 249, 250, 254, 259, 262, 267, 268, 270, 271, 272, 273, 274, 275, 276, 282, 283, 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: { 9, 10, 11, 22, 23, 24, 26, 28, 58, 121, 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, 16, 17, 18, 30, 31, 32, 33, 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, 128, 149, 150, 152, 231, 232, 233, 234, 251, 252, 253, 255, 256, 257, 258, 260, 261, 263, 264, 265, 266, 277, 278, 279, 280, 281, 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, 91, 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, 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: { 6, 9, 10, 11, 12, 13, 14, 19, 23, 24, 25, 26, 34, 35, 39, 55, 60, 61, 62, 63, 64, 66, 67, 68, 69, 74, 75, 81, 85, 86, 105, 117, 122, 127, 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, 249, 250, 251, 252, 253, 254, 255, 256, 257, 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, 313, 314 }

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

C grade: { 268, 270 }

F grade: { 1, 2, 3, 4, 5, 7, 8, 15, 16, 17, 18, 20, 21, 22, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 65, 70, 71, 72, 73, 76, 77, 78, 79, 80, 82, 83, 84, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 126, 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, 263, 264, 265, 266, 267, 269, 271, 277, 278, 279, 280, 281, 284, 300, 301, 302, 303, 304, 305, 306, 307, 310, 311, 312 }

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, 82, 83, 84, 85, 86, 88, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 117, 122, 127, 130, 132, 133, 135, 138, 139, 140, 142, 143, 144, 145, 146, 148, 150, 151, 152, 153, 160, 179, 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, 242, 243, 244, 245, 246, 247, 248, 251, 253, 254, 255, 257, 262, 265, 272, 273, 276, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 297, 298, 301, 302, 304, 308, 309, 313, 314 }

B grade: { 9, 10, 23, 24, 28, 89, 90, 91, 129, 131, 136, 141, 149, 180, 221, 222, 241, 250, 252, 256, 274, 275, 296, 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, 110, 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, 258, 259, 260, 261, 263, 264, 266, 267, 268, 269, 270, 271, 277, 278, 279, 280, 281, 293, 299, 300, 305, 306, 307, 310, 311, 312 }

2.1.8 Mupad

A grade: { 1, 6, 7, 8, 13, 14, 15, 30, 35, 36, 37, 39, 105, 117, 122, 127, 286, 287, 288, 289, 290, 308, 309, 313, 314 }

B grade: { 5, 12, 17, 18, 19, 23, 24, 25, 26, 27, 28, 34, 38, 51, 55, 56, 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, 89, 90, 91, 116, 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, 160, 164, 165, 166, 167, 168, 169, 172, 173, 174, 175, 180, 181, 182, 183, 184, 185, 186, 187, 188, 190, 194, 207, 211, 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, 268, 269, 271, 272, 273, 274, 275, 276, 282, 283, 284, 285, 291, 292, 293, 294, 295, 296, 297, 298, 299 }

C grade: { }

F grade: { 2, 3, 4, 9, 10, 11, 16, 20, 21, 22, 29, 31, 32, 33, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 57, 59, 65, 70, 76, 87, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 118, 119, 120, 121, 123, 124, 125, 126, 128, 154, 155, 156, 157, 158, 159, 161, 162, 163, 170, 171, 176, 177, 178, 179, 189, 191, 192, 193, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 219, 220, 263, 264, 265, 266, 267, 270, 277, 278, 279, 280, 281, 300, 301, 302, 303, 304, 305, 306, 307, 310, 311, 312 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-2) A F(-1) F(-2) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 76 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.247 1.264 0.852 0.000 0.485 0.000 0.000 0.000
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 223 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.348 0.767 20.380 0.000 0.459 0.000 0.000 0.000
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 149 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.274 0.441 13.005 0.000 0.451 0.000 0.000 0.000
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 77 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 0.174 21.042 0.000 0.453 0.000 0.000 0.000
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 16 15 25 0 16 15
normalized size 1 1.00 1.00 1.07 1.00 1.67 0.00 1.07 1.00
time (sec) N/A 0.022 0.002 0.065 0.588 0.453 0.000 0.164 0.284
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.245 0.136 29.522 0.000 0.472 0.000 0.000 0.000
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 70 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.289 0.797 50.166 0.000 0.484 0.000 0.000 0.000
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 72 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.245 1.629 121.280 0.000 1.078 0.000 0.000 0.000
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 272 230 61910 1115 655 762 766 -1
normalized size 1 1.00 0.85 227.61 4.10 2.41 2.80 2.82 -0.00
time (sec) N/A 0.305 0.231 9.064 0.939 0.458 103.522 0.256 0.000
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 115 14983 530 267 298 286 -1
normalized size 1 1.00 0.92 119.86 4.24 2.14 2.38 2.29 -0.01
time (sec) N/A 0.166 0.109 3.162 0.661 0.445 37.589 0.189 0.000
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 2146 186 81 68 73 -1
normalized size 1 1.00 1.00 52.34 4.54 1.98 1.66 1.78 -0.02
time (sec) N/A 0.077 0.036 1.047 0.640 0.436 12.423 0.203 0.000
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 51 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 3.40 0.87 0.87
time (sec) N/A 0.007 0.001 0.066 0.733 0.433 1.703 0.156 0.254
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.192 1.463 7.099 0.000 0.442 0.000 0.000 0.000
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.196 1.605 107.741 0.000 0.464 0.000 0.000 0.000
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.177 3.015 127.671 0.000 0.601 0.000 0.000 0.000
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 0 0 42 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.62 0.00 0.00 -0.04
time (sec) N/A 0.171 0.094 0.967 0.000 0.442 0.000 0.000 0.000
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 204 0 65 0 0 20
normalized size 1 1.00 1.00 9.27 0.00 2.95 0.00 0.00 0.91
time (sec) N/A 0.173 0.039 0.662 0.000 0.442 0.000 0.000 0.705
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 135 0 42 0 0 20
normalized size 1 1.00 1.00 6.14 0.00 1.91 0.00 0.00 0.91
time (sec) N/A 0.109 0.033 0.674 0.000 0.441 0.000 0.000 0.680
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 16 28 58 17 16
normalized size 1 1.00 1.00 1.06 1.00 1.75 3.62 1.06 1.00
time (sec) N/A 0.035 0.017 0.078 0.453 0.441 30.634 0.197 0.304
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 212 22 18 0 0 -1
normalized size 1 1.00 1.00 12.47 1.29 1.06 0.00 0.00 -0.06
time (sec) N/A 0.185 0.238 0.583 1.031 0.462 0.000 0.000 0.000
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 68 21 21 0 0 -1
normalized size 1 1.00 1.00 3.40 1.05 1.05 0.00 0.00 -0.05
time (sec) N/A 0.182 0.040 0.538 1.222 0.443 0.000 0.000 0.000
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 68 49 45 0 0 -1
normalized size 1 1.00 1.00 3.09 2.23 2.05 0.00 0.00 -0.05
time (sec) N/A 0.180 0.041 5.440 1.674 0.463 0.000 0.000 0.000
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 16321 211 195 221 198 52
normalized size 1 1.00 1.00 816.05 10.55 9.75 11.05 9.90 2.60
time (sec) N/A 0.152 0.018 2.886 0.488 0.460 12.320 0.200 0.330
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 38 63 74 89 117 90 18
normalized size 1 1.00 1.90 3.15 3.70 4.45 5.85 4.50 0.90
time (sec) N/A 0.093 0.005 0.091 0.461 0.437 8.069 0.182 0.293
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 14 21 60 20 14
normalized size 1 1.00 1.00 1.07 1.00 1.50 4.29 1.43 1.00
time (sec) N/A 0.009 0.002 0.067 0.445 0.431 1.717 0.171 0.257
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 432 32 28 48 28 16
normalized size 1 1.00 1.00 28.80 2.13 1.87 3.20 1.87 1.07
time (sec) N/A 0.082 0.098 0.288 0.614 0.459 2.335 0.162 0.348
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 451 31 31 0 31 18
normalized size 1 1.00 1.00 25.06 1.72 1.72 0.00 1.72 1.00
time (sec) N/A 0.133 0.014 0.306 0.652 0.439 0.000 0.182 0.255
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 447 95 101 0 306 39
normalized size 1 1.00 1.00 22.35 4.75 5.05 0.00 15.30 1.95
time (sec) N/A 0.160 0.015 0.317 0.853 0.454 0.000 0.197 0.275
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 23 215 26 23 0 0 -1
normalized size 1 1.00 1.21 11.32 1.37 1.21 0.00 0.00 -0.05
time (sec) N/A 0.321 0.475 0.602 1.035 0.450 0.000 0.000 0.000
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-2) A F(-1) F(-2) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.231 1.896 0.896 0.000 0.464 0.000 0.000 0.000
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 445 0 0 0 0 0 -1
normalized size 1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.504 1.623 52.591 0.000 0.477 0.000 0.000 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 298 0 0 0 0 0 -1
normalized size 1 1.00 1.27 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.395 0.950 111.813 0.000 0.485 0.000 0.000 0.000
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 157 0 0 0 0 0 -1
normalized size 1 1.00 1.13 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.171 0.494 73.293 0.000 0.486 0.000 0.000 0.000
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 26 25 42 53 27 25
normalized size 1 1.00 1.00 1.04 1.00 1.68 2.12 1.08 1.00
time (sec) N/A 0.034 0.026 0.082 0.452 0.469 30.674 0.182 0.316
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 73 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.267 5.108 114.838 0.000 0.445 0.000 0.000 0.000
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 75 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.282 7.528 51.280 0.000 0.495 0.000 0.000 0.000
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.249 71.222 148.516 0.000 1.043 0.000 0.000 0.000
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 158 31 30 0 0 26
normalized size 1 1.00 1.00 6.08 1.19 1.15 0.00 0.00 1.00
time (sec) N/A 0.245 0.367 0.512 1.245 0.452 0.000 0.000 0.325
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 61 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.153 80.035 3.260 0.000 0.469 0.000 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 49 49 625 0 0 44 0 0 -1
normalized size 1 1.00 12.76 0.00 0.00 0.90 0.00 0.00 -0.02
time (sec) N/A 0.099 0.484 180.000 0.000 0.437 0.000 0.000 0.000
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 642 0 0 45 0 0 -1
normalized size 1 1.00 12.84 0.00 0.00 0.90 0.00 0.00 -0.02
time (sec) N/A 0.087 0.375 180.000 0.000 0.450 0.000 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 320 0 0 44 0 0 -1
normalized size 1 1.00 6.04 0.00 0.00 0.83 0.00 0.00 -0.02
time (sec) N/A 0.096 0.218 180.000 0.000 0.444 0.000 0.000 0.000
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 316 0 0 43 0 0 -1
normalized size 1 1.00 6.08 0.00 0.00 0.83 0.00 0.00 -0.02
time (sec) N/A 0.073 0.195 180.000 0.000 0.429 0.000 0.000 0.000
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 641 0 0 43 0 0 -1
normalized size 1 1.00 13.08 0.00 0.00 0.88 0.00 0.00 -0.02
time (sec) N/A 0.102 0.355 180.000 0.000 0.437 0.000 0.000 0.000
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F(-2) A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 645 0 0 44 0 0 -1
normalized size 1 1.00 12.90 0.00 0.00 0.88 0.00 0.00 -0.02
time (sec) N/A 0.078 0.257 180.000 0.000 0.433 0.000 0.000 0.000
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-1) F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 56 0 0 83 0 83 -1
normalized size 1 1.00 0.84 0.00 0.00 1.24 0.00 1.24 -0.01
time (sec) N/A 0.057 0.137 180.000 0.000 0.446 0.000 0.243 0.000
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 59 0 0 90 0 111 -1
normalized size 1 1.00 0.75 0.00 0.00 1.14 0.00 1.41 -0.01
time (sec) N/A 0.061 0.169 2.589 0.000 0.454 0.000 0.206 0.000
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 49 0 0 70 0 56 -1
normalized size 1 1.00 0.89 0.00 0.00 1.27 0.00 1.02 -0.02
time (sec) N/A 0.049 0.062 0.464 0.000 0.421 0.000 0.176 0.000
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 49 0 0 70 0 56 -1
normalized size 1 1.00 0.89 0.00 0.00 1.27 0.00 1.02 -0.02
time (sec) N/A 0.035 0.059 0.464 0.000 0.458 0.000 0.195 0.000
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 0 0 53 0 42 -1
normalized size 1 1.00 0.96 0.00 0.00 1.18 0.00 0.93 -0.02
time (sec) N/A 0.030 0.050 0.513 0.000 0.451 0.000 0.188 0.000
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 40 48 64 45 0 54 32
normalized size 1 1.00 1.25 1.50 2.00 1.41 0.00 1.69 1.00
time (sec) N/A 0.017 0.012 0.077 0.460 0.466 0.000 0.173 0.323
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 45 0 0 46 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.96 0.00 0.00 -0.02
time (sec) N/A 0.047 0.044 0.461 0.000 0.441 0.000 0.000 0.000
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 49 0 0 53 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.96 0.00 0.00 -0.02
time (sec) N/A 0.046 0.045 0.437 0.000 0.470 0.000 0.000 0.000
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 49 0 0 53 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.96 0.00 0.00 -0.02
time (sec) N/A 0.047 0.047 0.441 0.000 0.457 0.000 0.000 0.000
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 26 23 26 19 26 22
normalized size 1 1.00 1.00 1.18 1.05 1.18 0.86 1.18 1.00
time (sec) N/A 0.007 0.016 0.086 0.618 0.442 1.190 0.191 0.310
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 22 23 22 24 0 32 20
normalized size 1 1.00 1.10 1.15 1.10 1.20 0.00 1.60 1.00
time (sec) N/A 0.020 0.007 0.070 0.442 0.449 0.000 0.160 0.284
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 39 0 0 45 0 36 -1
normalized size 1 1.00 0.98 0.00 0.00 1.12 0.00 0.90 -0.02
time (sec) N/A 0.022 0.021 0.424 0.000 0.450 0.000 0.163 0.000
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 34 35 55 37 0 43 27
normalized size 1 1.00 1.26 1.30 2.04 1.37 0.00 1.59 1.00
time (sec) N/A 0.021 0.010 0.074 0.449 0.455 0.000 0.185 0.295
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-1) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 48 0 0 0 0 0 -1
normalized size 1 1.00 0.73 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.059 0.021 180.000 0.000 0.451 0.000 0.000 0.000
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 85 0 87 98 134 89 85
normalized size 1 1.00 0.86 0.00 0.88 0.99 1.35 0.90 0.86
time (sec) N/A 0.073 0.051 0.171 0.448 0.441 17.668 0.164 0.324
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 74 0 75 86 119 75 73
normalized size 1 1.00 0.87 0.00 0.88 1.01 1.40 0.88 0.86
time (sec) N/A 0.062 0.038 0.084 0.445 0.435 10.088 0.186 0.338
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 63 0 65 74 107 65 61
normalized size 1 1.00 0.89 0.00 0.92 1.04 1.51 0.92 0.86
time (sec) N/A 0.053 0.031 0.086 0.444 0.457 5.354 0.175 0.316
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 49 0 51 59 92 51 49
normalized size 1 1.00 0.86 0.00 0.89 1.04 1.61 0.89 0.86
time (sec) N/A 0.041 0.022 0.107 0.440 0.430 2.686 0.180 0.368
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 31 34 36 38 56 37 33
normalized size 1 1.00 0.94 1.03 1.09 1.15 1.70 1.12 1.00
time (sec) N/A 0.016 0.008 0.074 0.447 0.451 1.383 0.163 0.357
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 50 0 80 0 0 0 -1
normalized size 1 1.00 0.94 0.00 1.51 0.00 0.00 0.00 -0.02
time (sec) N/A 0.126 0.021 0.109 0.452 0.442 0.000 0.000 0.000
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 45 0 46 46 76 47 43
normalized size 1 1.00 0.96 0.00 0.98 0.98 1.62 1.00 0.91
time (sec) N/A 0.044 0.012 0.090 0.445 0.469 3.409 0.178 0.796
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 65 0 62 70 110 65 54
normalized size 1 1.00 0.90 0.00 0.86 0.97 1.53 0.90 0.75
time (sec) N/A 0.050 0.036 0.082 0.698 0.482 6.952 0.169 0.476
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 77 0 75 82 133 80 68
normalized size 1 1.00 0.90 0.00 0.87 0.95 1.55 0.93 0.79
time (sec) N/A 0.057 0.036 0.082 0.685 0.457 13.292 0.163 0.456
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 87 0 86 94 141 92 79
normalized size 1 1.00 0.87 0.00 0.86 0.94 1.41 0.92 0.79
time (sec) N/A 0.063 0.048 0.086 0.617 0.461 24.246 0.163 0.487
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 137 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.221 0.194 1.399 0.000 0.437 0.000 0.000 0.000
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 190 1621 0 444 0 221 395
normalized size 1 1.00 0.92 7.83 0.00 2.14 0.00 1.07 1.91
time (sec) N/A 0.229 0.220 0.811 0.000 0.470 0.000 0.204 0.592
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 151 1146 0 364 0 176 288
normalized size 1 1.00 0.90 6.86 0.00 2.18 0.00 1.05 1.72
time (sec) N/A 0.189 0.164 0.611 0.000 0.478 0.000 0.205 0.544
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 122 870 0 299 0 146 229
normalized size 1 1.00 0.90 6.40 0.00 2.20 0.00 1.07 1.68
time (sec) N/A 0.149 0.140 0.638 0.000 0.472 0.000 0.269 0.504
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 94 510 0 245 369 113 166
normalized size 1 1.00 0.86 4.68 0.00 2.25 3.39 1.04 1.52
time (sec) N/A 0.112 0.096 0.680 0.000 0.478 165.455 0.270 0.554
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 78 118 0 190 275 92 120
normalized size 1 1.00 0.99 1.49 0.00 2.41 3.48 1.16 1.52
time (sec) N/A 0.061 0.063 0.078 0.000 0.482 69.124 0.189 0.342
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 156 315 0 0 0 0 -1
normalized size 1 1.00 1.21 2.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.176 0.206 0.341 0.000 0.440 0.000 0.000 0.000
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 87 261 0 199 0 99 262
normalized size 1 1.00 1.01 3.03 0.00 2.31 0.00 1.15 3.05
time (sec) N/A 0.113 0.118 0.684 0.000 0.503 0.000 0.195 0.932
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 105 1178 0 261 0 129 474
normalized size 1 1.00 0.87 9.74 0.00 2.16 0.00 1.07 3.92
time (sec) N/A 0.154 0.245 0.460 0.000 0.467 0.000 0.202 0.760
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 132 423 0 318 0 164 505
normalized size 1 1.00 0.89 2.84 0.00 2.13 0.00 1.10 3.39
time (sec) N/A 0.200 0.371 0.714 0.000 0.526 0.000 0.249 0.933
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 172 505 0 404 0 210 627
normalized size 1 1.00 0.91 2.66 0.00 2.13 0.00 1.11 3.30
time (sec) N/A 0.223 0.463 0.878 0.000 0.550 0.000 0.207 1.065
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 35 38 37 33 46 37 39
normalized size 1 1.00 0.83 0.90 0.88 0.79 1.10 0.88 0.93
time (sec) N/A 0.026 0.014 0.069 1.341 0.437 0.154 0.166 0.064
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 485 485 468 31895 0 1270 0 817 1240
normalized size 1 1.00 0.96 65.76 0.00 2.62 0.00 1.68 2.56
time (sec) N/A 2.058 1.966 1.088 0.000 0.566 0.000 0.257 1.030
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 338 338 324 16059 0 880 0 553 775
normalized size 1 1.00 0.96 47.51 0.00 2.60 0.00 1.64 2.29
time (sec) N/A 0.516 0.534 0.873 0.000 0.476 0.000 0.245 0.837
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 204 7155 0 567 0 349 457
normalized size 1 1.00 0.90 31.66 0.00 2.51 0.00 1.54 2.02
time (sec) N/A 0.319 0.446 0.700 0.000 0.480 0.000 0.214 0.672
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 123 1706 0 336 394 188 242
normalized size 1 1.00 0.80 11.08 0.00 2.18 2.56 1.22 1.57
time (sec) N/A 0.186 0.212 0.695 0.000 0.448 158.892 0.198 0.590
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 78 118 0 190 275 92 120
normalized size 1 1.00 0.99 1.49 0.00 2.41 3.48 1.16 1.52
time (sec) N/A 0.062 0.062 0.076 0.000 0.436 65.131 0.190 0.002
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 226 493 0 0 0 0 -1
normalized size 1 1.00 0.99 2.16 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.412 0.296 0.369 0.000 0.420 0.000 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 166 6540 0 429 0 284 590
normalized size 1 1.00 1.01 39.64 0.00 2.60 0.00 1.72 3.58
time (sec) N/A 0.245 0.316 0.716 0.000 0.571 0.000 0.239 3.336
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 215 14679 0 1341 0 887 1715
normalized size 1 1.00 0.83 56.68 0.00 5.18 0.00 3.42 6.62
time (sec) N/A 0.406 0.557 1.190 0.000 2.201 0.000 0.353 4.741
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 310 306209 0 3013 0 1963 2707
normalized size 1 1.00 0.87 860.14 0.00 8.46 0.00 5.51 7.60
time (sec) N/A 0.621 1.208 1.038 0.000 15.088 0.000 0.606 11.302
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 519 519 469 1137077 0 5824 0 3759 4334
normalized size 1 1.00 0.90 2190.90 0.00 11.22 0.00 7.24 8.35
time (sec) N/A 1.006 2.026 1.297 0.000 92.032 0.000 1.174 18.948
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 131 0 0 0 0 0 -1
normalized size 1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.158 0.051 1.046 0.000 0.970 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 339 0 0 0 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.346 0.187 1.709 0.000 1.223 0.000 0.000 0.000
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 762 762 626 610 0 0 0 0 -1
normalized size 1 1.00 0.82 0.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.452 1.005 1.197 0.000 0.685 0.000 0.000 0.000
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 782 782 663 764 0 0 0 0 -1
normalized size 1 1.00 0.85 0.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.514 0.851 1.170 0.000 0.930 0.000 0.000 0.000
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 111 0 123 0 0 0 -1
normalized size 1 1.00 0.77 0.00 0.85 0.00 0.00 0.00 -0.01
time (sec) N/A 0.284 0.064 0.161 0.700 0.694 0.000 0.000 0.000
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 587 587 478 0 0 0 0 0 -1
normalized size 1 1.00 0.81 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.949 0.850 1.126 0.000 0.963 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 311 311 290 279 0 0 0 0 -1
normalized size 1 1.00 0.93 0.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.478 0.204 0.093 0.000 0.776 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 371 323 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.541 0.158 0.096 0.000 1.056 0.000 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 443 443 826 0 0 0 0 0 -1
normalized size 1 1.00 1.86 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.684 0.816 0.130 0.000 0.709 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 117 0 0 134 0 134 -1
normalized size 1 1.00 0.68 0.00 0.00 0.78 0.00 0.78 -0.01
time (sec) N/A 0.381 0.514 0.073 0.000 1.006 0.000 0.326 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 107 0 0 124 0 124 -1
normalized size 1 1.00 0.72 0.00 0.00 0.83 0.00 0.83 -0.01
time (sec) N/A 0.292 0.348 0.072 0.000 0.987 0.000 0.314 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 102 0 0 114 0 114 -1
normalized size 1 1.00 0.80 0.00 0.00 0.90 0.00 0.90 -0.01
time (sec) N/A 0.245 0.291 0.079 0.000 1.010 0.000 0.348 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 85 80 0 101 0 101 -1
normalized size 1 1.00 0.89 0.84 0.00 1.06 0.00 1.06 -0.01
time (sec) N/A 0.162 0.030 0.104 0.000 0.816 0.000 0.272 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.076 0.479 0.083 0.000 0.511 0.000 0.000 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 68 0 0 115 0 92 -1
normalized size 1 1.00 0.89 0.00 0.00 1.51 0.00 1.21 -0.01
time (sec) N/A 0.262 0.252 0.072 0.000 1.011 0.000 0.304 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 82 0 0 138 0 130 -1
normalized size 1 1.00 0.81 0.00 0.00 1.37 0.00 1.29 -0.01
time (sec) N/A 0.291 0.298 0.076 0.000 0.570 0.000 0.312 0.000
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 232 0 0 110 0 132 -1
normalized size 1 1.00 1.24 0.00 0.00 0.59 0.00 0.71 -0.01
time (sec) N/A 0.541 0.874 0.075 0.000 0.963 0.000 0.365 0.000
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 209 0 0 100 0 122 -1
normalized size 1 1.00 1.32 0.00 0.00 0.63 0.00 0.77 -0.01
time (sec) N/A 0.431 0.649 0.072 0.000 0.810 0.000 0.367 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 186 0 0 84 0 0 -1
normalized size 1 1.00 1.58 0.00 0.00 0.71 0.00 0.00 -0.01
time (sec) N/A 0.385 0.574 0.076 0.000 0.979 0.000 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 177 0 0 84 0 166 -1
normalized size 1 1.00 1.55 0.00 0.00 0.74 0.00 1.46 -0.01
time (sec) N/A 0.309 0.455 0.076 0.000 0.809 0.000 0.478 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 204 0 0 108 0 181 -1
normalized size 1 1.00 1.35 0.00 0.00 0.72 0.00 1.20 -0.01
time (sec) N/A 0.478 0.730 0.076 0.000 0.927 0.000 0.497 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 93 84 82 88 0 0 -1
normalized size 1 1.00 1.00 0.90 0.88 0.95 0.00 0.00 -0.01
time (sec) N/A 0.073 0.008 0.079 0.777 1.144 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 69 67 73 0 0 -1
normalized size 1 1.00 1.00 0.90 0.87 0.95 0.00 0.00 -0.01
time (sec) N/A 0.058 0.006 0.071 0.766 1.125 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 59 52 50 56 0 0 -1
normalized size 1 1.00 1.00 0.88 0.85 0.95 0.00 0.00 -0.02
time (sec) N/A 0.037 0.005 0.078 0.601 0.600 0.000 0.000 0.000
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 28 34 40 0 0 35
normalized size 1 1.00 1.00 0.74 0.89 1.05 0.00 0.00 0.92
time (sec) N/A 0.048 0.002 0.077 0.692 1.158 0.000 0.000 0.381
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07
time (sec) N/A 0.032 0.051 0.103 0.000 0.703 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 132 601 189 128 0 0 -1
normalized size 1 1.00 1.00 4.55 1.43 0.97 0.00 0.00 -0.01
time (sec) N/A 0.097 0.014 0.426 0.778 0.490 0.000 0.000 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 98 430 153 93 0 0 -1
normalized size 1 1.00 1.00 4.39 1.56 0.95 0.00 0.00 -0.01
time (sec) N/A 0.062 0.006 0.349 0.810 0.796 0.000 0.000 0.000
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 262 117 58 0 0 -1
normalized size 1 1.00 1.00 4.16 1.86 0.92 0.00 0.00 -0.02
time (sec) N/A 0.038 0.005 0.346 0.864 1.315 0.000 0.000 0.000
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 32 76 31 0 0 -1
normalized size 1 1.00 1.00 1.03 2.45 1.00 0.00 0.00 -0.03
time (sec) N/A 0.015 0.001 0.072 0.897 0.798 0.000 0.000 0.000
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 0.308 0.245 0.000 0.558 0.000 0.000 0.000
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 193 1276 204 245 0 0 -1
normalized size 1 1.00 1.00 6.61 1.06 1.27 0.00 0.00 -0.01
time (sec) N/A 0.129 0.009 0.363 0.806 0.756 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 156 916 165 205 0 0 -1
normalized size 1 1.00 1.00 5.87 1.06 1.31 0.00 0.00 -0.01
time (sec) N/A 0.093 0.007 0.352 0.866 0.586 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 118 558 126 169 0 0 -1
normalized size 1 1.00 1.00 4.73 1.07 1.43 0.00 0.00 -0.01
time (sec) N/A 0.065 0.006 0.344 0.778 1.215 0.000 0.000 0.000
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 82 82 106 0 0 -1
normalized size 1 1.00 1.00 1.09 1.09 1.41 0.00 0.00 -0.01
time (sec) N/A 0.127 0.003 0.080 0.829 0.675 0.000 0.000 0.000
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.062 0.298 0.240 0.000 0.701 0.000 0.000 0.000
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 138 0 106 0 0 -1
normalized size 1 1.00 1.00 3.54 0.00 2.72 0.00 0.00 -0.03
time (sec) N/A 0.026 0.009 0.153 0.000 0.730 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 6 5 5 5 22 5
normalized size 1 1.00 1.00 1.20 1.00 1.00 1.00 4.40 1.00
time (sec) N/A 0.018 0.009 0.059 0.620 0.863 0.096 0.160 0.420
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 8 8 10 8 13
normalized size 1 1.00 1.00 0.75 0.67 0.67 0.83 0.67 1.08
time (sec) N/A 0.026 0.004 0.066 0.718 1.948 0.802 0.160 0.386
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 33 8 31 39 31 26
normalized size 1 1.00 1.00 3.30 0.80 3.10 3.90 3.10 2.60
time (sec) N/A 0.017 0.003 0.060 0.652 0.540 0.144 0.168 0.390
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.014 0.002 0.060 0.768 0.736 0.398 0.168 0.071
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 3 15 3 3
normalized size 1 1.00 1.00 1.33 1.00 1.00 5.00 1.00 1.00
time (sec) N/A 0.020 0.012 0.061 1.511 0.725 0.137 0.158 0.525
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 42 13 16 16 0 0 12
normalized size 1 1.00 3.00 0.93 1.14 1.14 0.00 0.00 0.86
time (sec) N/A 0.032 0.016 0.067 0.513 0.722 0.000 0.000 0.467
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 8 7 21 0 7 7
normalized size 1 1.00 1.00 0.73 0.64 1.91 0.00 0.64 0.64
time (sec) N/A 0.035 0.020 0.070 1.223 1.510 0.000 0.229 0.399
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 7 6 5 16 0 16 5
normalized size 1 1.00 1.00 0.86 0.71 2.29 0.00 2.29 0.71
time (sec) N/A 0.029 0.017 0.066 1.364 1.077 0.000 0.196 0.393
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 106 87 97 71 17 0 120
normalized size 1 1.00 0.95 0.78 0.87 0.64 0.15 0.00 1.08
time (sec) N/A 0.100 0.077 0.066 1.354 1.320 0.173 0.000 4.694
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 9 9 8 9 9
normalized size 1 1.00 1.00 0.91 0.82 0.82 0.73 0.82 0.82
time (sec) N/A 0.028 0.004 0.063 0.604 0.564 0.250 0.185 0.521
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 10 9 11 7 9 9
normalized size 1 1.00 1.00 1.11 1.00 1.22 0.78 1.00 1.00
time (sec) N/A 0.015 0.007 0.073 0.583 0.845 0.384 0.180 0.403
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 16 14 12 13 156 12 12
normalized size 1 1.00 0.94 0.82 0.71 0.76 9.18 0.71 0.71
time (sec) N/A 0.020 0.015 0.307 0.666 0.750 3.369 0.168 0.376
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 12 10 27 12
normalized size 1 1.00 1.00 1.08 1.00 1.00 0.83 2.25 1.00
time (sec) N/A 0.036 0.028 0.066 0.632 0.856 0.108 0.156 0.375
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 29 24 23 23 27 23 22
normalized size 1 1.00 1.38 1.14 1.10 1.10 1.29 1.10 1.05
time (sec) N/A 0.036 0.015 0.063 0.506 0.551 0.135 0.191 0.370
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 31 31 30 36 0 37 26
normalized size 1 1.00 0.74 0.74 0.71 0.86 0.00 0.88 0.62
time (sec) N/A 0.067 0.022 0.067 1.487 0.634 0.000 0.174 0.395
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 20 21 20 26 17 34 18
normalized size 1 1.00 0.83 0.88 0.83 1.08 0.71 1.42 0.75
time (sec) N/A 0.041 0.041 0.068 0.868 0.774 0.125 0.173 0.412
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 16 18 17 12 20 17 13
normalized size 1 1.00 0.70 0.78 0.74 0.52 0.87 0.74 0.57
time (sec) N/A 0.043 0.018 0.066 0.583 1.073 4.820 0.160 0.428
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 20 22 21 16 22 21 15
normalized size 1 1.00 0.69 0.76 0.72 0.55 0.76 0.72 0.52
time (sec) N/A 0.051 0.022 0.069 0.754 1.637 5.430 0.153 0.439
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 30 29 29 32 0 18
normalized size 1 1.00 1.00 1.36 1.32 1.32 1.45 0.00 0.82
time (sec) N/A 0.060 0.020 0.062 0.552 1.144 2.086 0.000 0.407
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 24 32 32 32 20 18
normalized size 1 1.00 0.81 0.89 1.19 1.19 1.19 0.74 0.67
time (sec) N/A 0.049 0.044 0.069 0.549 2.125 0.129 0.195 0.424
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 0 0 38 0 68 27
normalized size 1 1.00 1.00 0.00 0.00 1.41 0.00 2.52 1.00
time (sec) N/A 0.026 0.012 3.556 0.000 0.918 0.000 0.360 0.401
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 71 0 27 0 24 27
normalized size 1 1.00 1.00 2.63 0.00 1.00 0.00 0.89 1.00
time (sec) N/A 0.035 0.006 2.000 0.000 0.787 0.000 0.178 0.384
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 21 20 13 0 27 21
normalized size 1 1.00 1.00 0.84 0.80 0.52 0.00 1.08 0.84
time (sec) N/A 0.020 0.008 0.353 0.626 1.548 0.000 0.203 0.404
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 0 0 33 0 35 29
normalized size 1 1.00 1.00 0.00 0.00 1.14 0.00 1.21 1.00
time (sec) N/A 0.038 0.006 0.711 0.000 0.659 0.000 0.326 0.357
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 21 29 5 5 3 5 5
normalized size 1 1.00 0.68 0.94 0.16 0.16 0.10 0.16 0.16
time (sec) N/A 0.016 0.009 0.070 0.705 0.533 0.072 0.155 0.363
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 30 80 57 37 0 102 -1
normalized size 1 1.00 0.86 2.29 1.63 1.06 0.00 2.91 -0.03
time (sec) N/A 0.078 0.052 0.977 0.849 0.905 0.000 0.172 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 50 132 79 59 0 123 -1
normalized size 1 1.00 0.76 2.00 1.20 0.89 0.00 1.86 -0.02
time (sec) N/A 0.114 0.086 1.648 1.238 0.727 0.000 0.212 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 66 162 110 76 0 454 -1
normalized size 1 1.00 0.74 1.82 1.24 0.85 0.00 5.10 -0.01
time (sec) N/A 0.518 0.118 1.405 1.112 0.720 0.000 0.237 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 30 79 55 38 0 108 -1
normalized size 1 1.00 0.86 2.26 1.57 1.09 0.00 3.09 -0.03
time (sec) N/A 0.061 0.049 1.111 1.018 0.702 0.000 0.191 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 50 132 76 60 0 122 -1
normalized size 1 1.00 0.76 2.00 1.15 0.91 0.00 1.85 -0.02
time (sec) N/A 0.121 0.114 1.334 1.120 0.548 0.000 0.212 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 66 162 108 76 0 495 -1
normalized size 1 1.00 0.75 1.84 1.23 0.86 0.00 5.62 -0.01
time (sec) N/A 0.468 0.160 1.727 1.034 1.022 0.000 0.254 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 19 5 5 5 5 5
normalized size 1 1.00 1.00 3.80 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.033 0.024 0.934 0.928 0.625 13.686 0.171 0.496
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 42 76 87 104 0 0 -1
normalized size 1 1.00 0.89 1.62 1.85 2.21 0.00 0.00 -0.02
time (sec) N/A 0.057 0.018 0.413 2.242 0.780 0.000 0.000 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 88 89 109 0 0 -1
normalized size 1 1.00 0.96 1.96 1.98 2.42 0.00 0.00 -0.02
time (sec) N/A 0.059 0.018 0.454 2.323 0.898 0.000 0.000 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 0 91 115 0 0 -1
normalized size 1 1.00 1.00 0.00 1.75 2.21 0.00 0.00 -0.02
time (sec) N/A 0.060 0.025 2.075 2.395 1.030 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 47 107 60 104 0 0 37
normalized size 1 1.00 1.00 2.28 1.28 2.21 0.00 0.00 0.79
time (sec) N/A 0.053 0.008 0.333 2.223 0.534 0.000 0.000 0.390
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 118 62 106 0 0 39
normalized size 1 1.00 0.96 2.62 1.38 2.36 0.00 0.00 0.87
time (sec) N/A 0.056 0.022 0.445 2.547 0.529 0.000 0.000 0.081
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 0 65 115 0 0 41
normalized size 1 1.00 1.00 0.00 1.25 2.21 0.00 0.00 0.79
time (sec) N/A 0.058 0.024 1.611 3.000 0.519 0.000 0.000 0.369
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 75 82 42 184 0 0 39
normalized size 1 1.00 1.47 1.61 0.82 3.61 0.00 0.00 0.76
time (sec) N/A 0.044 0.011 0.168 1.617 0.464 0.000 0.000 0.094
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 75 82 44 184 0 0 41
normalized size 1 1.00 1.53 1.67 0.90 3.76 0.00 0.00 0.84
time (sec) N/A 0.048 0.012 0.566 1.514 0.482 0.000 0.000 0.057
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-1) A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 81 0 48 195 0 0 44
normalized size 1 1.00 1.45 0.00 0.86 3.48 0.00 0.00 0.79
time (sec) N/A 0.048 0.012 180.000 1.507 0.524 0.000 0.000 0.067
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 75 82 43 147 0 0 -1
normalized size 1 1.00 1.47 1.61 0.84 2.88 0.00 0.00 -0.02
time (sec) N/A 0.046 0.011 0.157 1.473 0.495 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 75 82 44 148 0 0 -1
normalized size 1 1.00 1.53 1.67 0.90 3.02 0.00 0.00 -0.02
time (sec) N/A 0.047 0.012 0.461 1.366 0.535 0.000 0.000 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-1) A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 81 0 49 158 0 0 44
normalized size 1 1.00 1.45 0.00 0.88 2.82 0.00 0.00 0.79
time (sec) N/A 0.049 0.016 180.000 1.544 0.514 0.000 0.000 0.067
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 118 60 106 0 0 39
normalized size 1 1.00 1.00 2.57 1.30 2.30 0.00 0.00 0.85
time (sec) N/A 0.052 0.007 0.536 2.275 0.527 0.000 0.000 0.089
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 118 61 102 0 0 39
normalized size 1 1.00 0.96 2.62 1.36 2.27 0.00 0.00 0.87
time (sec) N/A 0.054 0.021 0.491 2.170 0.503 0.000 0.000 0.381
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 51 0 65 117 0 0 43
normalized size 1 1.00 1.00 0.00 1.27 2.29 0.00 0.00 0.84
time (sec) N/A 0.054 0.025 1.614 3.316 0.520 0.000 0.000 0.383
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 41 89 87 106 0 0 -1
normalized size 1 1.00 0.89 1.93 1.89 2.30 0.00 0.00 -0.02
time (sec) N/A 0.053 0.013 0.492 2.260 0.507 0.000 0.000 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 42 88 87 107 0 0 -1
normalized size 1 1.00 0.93 1.96 1.93 2.38 0.00 0.00 -0.02
time (sec) N/A 0.058 0.019 0.553 2.310 0.543 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 51 0 91 117 0 0 -1
normalized size 1 1.00 1.00 0.00 1.78 2.29 0.00 0.00 -0.02
time (sec) N/A 0.060 0.023 2.099 1.751 0.521 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 13 72 17 17 0 13 -1
normalized size 1 1.00 0.62 3.43 0.81 0.81 0.00 0.62 -0.05
time (sec) N/A 0.021 0.005 0.603 0.452 0.488 0.000 0.181 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 7 6 6 0 32 6
normalized size 1 1.00 1.00 1.17 1.00 1.00 0.00 5.33 1.00
time (sec) N/A 0.016 0.014 0.401 0.444 0.441 0.000 0.171 0.501
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 25 35 6 6 0 6 6
normalized size 1 1.00 0.68 0.95 0.16 0.16 0.00 0.16 0.16
time (sec) N/A 0.028 0.036 0.450 0.451 0.445 0.000 0.154 0.367
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 61 94 22 15 12 35
normalized size 1 1.00 1.00 5.08 7.83 1.83 1.25 1.00 2.92
time (sec) N/A 0.023 0.017 0.582 0.999 0.451 18.328 0.181 0.579
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 7 7 0 7 7
normalized size 1 1.00 1.00 0.89 0.78 0.78 0.00 0.78 0.78
time (sec) N/A 0.016 0.004 0.190 0.447 0.468 0.000 0.186 0.381
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 15 17 16 24 17 16 11
normalized size 1 1.00 0.75 0.85 0.80 1.20 0.85 0.80 0.55
time (sec) N/A 0.039 0.015 0.073 0.447 0.463 4.925 0.186 0.430
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 33 32 42 65 0 42 29
normalized size 1 1.00 0.66 0.64 0.84 1.30 0.00 0.84 0.58
time (sec) N/A 0.026 0.011 0.737 0.541 0.493 0.000 0.930 0.521
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 7 6 6 0 7 6
normalized size 1 1.00 1.00 1.17 1.00 1.00 0.00 1.17 1.00
time (sec) N/A 0.022 0.009 0.305 0.442 0.429 0.000 0.159 0.399
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 7 7 8 7 7
normalized size 1 1.00 1.00 0.89 0.78 0.78 0.89 0.78 0.78
time (sec) N/A 0.015 0.003 0.189 0.443 0.492 3.532 0.155 0.433
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 10 10 10 9
normalized size 1 1.00 1.00 1.10 1.00 1.00 1.00 1.00 0.90
time (sec) N/A 0.008 0.008 0.182 0.441 0.466 0.869 0.166 0.379
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 43 73 108 27 223 27 -1
normalized size 1 1.00 3.07 5.21 7.71 1.93 15.93 1.93 -0.07
time (sec) N/A 0.020 0.016 0.313 0.453 0.491 2.361 0.185 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 11 11 10 11 8
normalized size 1 1.00 1.00 1.09 1.00 1.00 0.91 1.00 0.73
time (sec) N/A 0.009 0.003 0.186 0.442 0.476 0.869 0.158 0.415
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 59 146 104 120 0 0 -1
normalized size 1 1.00 0.80 1.97 1.41 1.62 0.00 0.00 -0.01
time (sec) N/A 0.109 0.058 0.330 1.942 0.495 0.000 0.000 0.000
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 47 134 179 43 439 41 -1
normalized size 1 1.00 1.18 3.35 4.48 1.08 10.98 1.02 -0.02
time (sec) N/A 0.067 0.043 0.342 0.459 0.504 7.744 0.173 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 88 0 139 0 0 0 -1
normalized size 1 1.00 1.11 0.00 1.76 0.00 0.00 0.00 -0.01
time (sec) N/A 0.102 0.033 0.299 0.507 0.494 0.000 0.000 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 72 81 19 17 19 57
normalized size 1 1.00 1.00 4.80 5.40 1.27 1.13 1.27 3.80
time (sec) N/A 0.021 0.015 0.724 0.991 0.502 16.683 0.196 0.576
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 30 58 36 134 0 52 -1
normalized size 1 1.00 0.86 1.66 1.03 3.83 0.00 1.49 -0.03
time (sec) N/A 0.079 0.054 0.704 0.687 0.476 0.000 0.163 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 50 97 67 313 0 67 -1
normalized size 1 1.00 0.76 1.47 1.02 4.74 0.00 1.02 -0.02
time (sec) N/A 0.143 0.120 1.303 0.689 0.473 0.000 0.192 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 67 116 110 587 0 102 -1
normalized size 1 1.00 0.75 1.30 1.24 6.60 0.00 1.15 -0.01
time (sec) N/A 0.517 0.115 1.043 0.772 0.481 0.000 0.206 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 30 58 37 134 0 54 -1
normalized size 1 1.00 0.86 1.66 1.06 3.83 0.00 1.54 -0.03
time (sec) N/A 0.070 0.040 0.935 1.225 0.453 0.000 0.172 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 50 97 67 305 0 67 -1
normalized size 1 1.00 0.76 1.47 1.02 4.62 0.00 1.02 -0.02
time (sec) N/A 0.132 0.074 1.239 0.684 0.485 0.000 0.231 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 66 116 111 587 0 104 -1
normalized size 1 1.00 0.75 1.32 1.26 6.67 0.00 1.18 -0.01
time (sec) N/A 0.483 0.144 1.690 0.771 0.485 0.000 0.200 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 36 295 43 57 0 0 -1
normalized size 1 1.00 0.92 7.56 1.10 1.46 0.00 0.00 -0.03
time (sec) N/A 0.059 0.022 0.990 0.646 0.484 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 454 43 69 0 0 -1
normalized size 1 1.00 0.94 12.97 1.23 1.97 0.00 0.00 -0.03
time (sec) N/A 0.060 0.018 2.237 0.647 0.477 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 47 65 0 0 -1
normalized size 1 1.00 0.98 0.00 1.07 1.48 0.00 0.00 -0.02
time (sec) N/A 0.060 0.029 2.091 0.650 0.480 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 36 321 32 65 0 0 -1
normalized size 1 1.00 0.92 8.23 0.82 1.67 0.00 0.00 -0.03
time (sec) N/A 0.056 0.021 1.042 1.146 0.479 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 478 32 77 0 0 -1
normalized size 1 1.00 0.94 13.66 0.91 2.20 0.00 0.00 -0.03
time (sec) N/A 0.056 0.018 2.355 1.151 0.496 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 36 73 0 0 -1
normalized size 1 1.00 0.98 0.00 0.82 1.66 0.00 0.00 -0.02
time (sec) N/A 0.057 0.028 1.979 1.151 0.508 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 35 24 54 101 0 0 20
normalized size 1 1.00 0.90 0.62 1.38 2.59 0.00 0.00 0.51
time (sec) N/A 0.044 0.007 0.144 1.021 0.477 0.000 0.000 0.470
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 49 70 56 102 0 0 -1
normalized size 1 1.00 1.20 1.71 1.37 2.49 0.00 0.00 -0.02
time (sec) N/A 0.044 0.008 0.158 1.024 0.500 0.000 0.000 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 47 47 57 129 0 0 -1
normalized size 1 1.00 1.27 1.27 1.54 3.49 0.00 0.00 -0.03
time (sec) N/A 0.047 0.011 0.343 1.023 0.486 0.000 0.000 0.000
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 55 43 61 116 0 0 -1
normalized size 1 1.00 1.20 0.93 1.33 2.52 0.00 0.00 -0.02
time (sec) N/A 0.049 0.011 0.230 1.027 0.495 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 35 24 49 101 0 0 22
normalized size 1 1.00 0.90 0.62 1.26 2.59 0.00 0.00 0.56
time (sec) N/A 0.046 0.007 0.145 1.022 0.511 0.000 0.000 0.414
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 49 70 51 102 0 0 -1
normalized size 1 1.00 1.20 1.71 1.24 2.49 0.00 0.00 -0.02
time (sec) N/A 0.044 0.008 0.151 1.010 0.504 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 47 47 59 127 0 0 -1
normalized size 1 1.00 1.27 1.27 1.59 3.43 0.00 0.00 -0.03
time (sec) N/A 0.048 0.010 0.273 1.024 0.511 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 55 43 61 116 0 0 -1
normalized size 1 1.00 1.20 0.93 1.33 2.52 0.00 0.00 -0.02
time (sec) N/A 0.049 0.012 0.237 1.025 0.486 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 37 314 31 84 0 0 -1
normalized size 1 1.00 0.97 8.26 0.82 2.21 0.00 0.00 -0.03
time (sec) N/A 0.053 0.016 1.149 1.150 0.500 0.000 0.000 0.000
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 480 32 106 0 0 -1
normalized size 1 1.00 0.94 13.71 0.91 3.03 0.00 0.00 -0.03
time (sec) N/A 0.053 0.018 1.412 1.153 0.477 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 43 0 36 92 0 0 -1
normalized size 1 1.00 1.00 0.00 0.84 2.14 0.00 0.00 -0.02
time (sec) N/A 0.055 0.023 1.857 1.152 0.464 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 37 293 37 76 0 0 -1
normalized size 1 1.00 0.97 7.71 0.97 2.00 0.00 0.00 -0.03
time (sec) N/A 0.054 0.016 0.949 0.649 0.475 0.000 0.000 0.000
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 456 45 97 0 0 -1
normalized size 1 1.00 0.94 13.03 1.29 2.77 0.00 0.00 -0.03
time (sec) N/A 0.058 0.018 1.344 0.646 0.553 0.000 0.000 0.000
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 43 0 47 84 0 0 -1
normalized size 1 1.00 1.00 0.00 1.09 1.95 0.00 0.00 -0.02
time (sec) N/A 0.064 0.023 2.080 0.647 0.492 0.000 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 33 32 112 258 0 94 31
normalized size 1 1.00 0.66 0.64 2.24 5.16 0.00 1.88 0.62
time (sec) N/A 0.029 0.011 0.889 0.512 0.483 0.000 0.467 0.509
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 14 12 62 14 31 9
normalized size 1 1.00 1.00 1.08 0.92 4.77 1.08 2.38 0.69
time (sec) N/A 0.019 0.009 0.288 0.440 0.463 0.908 0.179 0.379
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 11 14 13 9 60 13 9
normalized size 1 1.00 0.65 0.82 0.76 0.53 3.53 0.76 0.53
time (sec) N/A 0.007 0.002 0.072 0.444 0.456 1.739 0.158 0.034
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 25 24 23 27 24 25
normalized size 1 1.00 0.96 0.93 0.89 0.85 1.00 0.89 0.93
time (sec) N/A 0.021 0.004 0.063 0.444 0.473 0.130 0.196 0.121
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 20 0 3 3
normalized size 1 1.00 1.00 1.33 1.00 6.67 0.00 1.00 1.00
time (sec) N/A 0.034 0.019 0.064 0.982 0.434 0.000 0.164 0.388
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 30 23 17 22 22 22 17
normalized size 1 1.00 1.25 0.96 0.71 0.92 0.92 0.92 0.71
time (sec) N/A 0.023 0.001 0.063 0.443 0.460 0.107 0.159 0.039
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 32 23 22 29 23 25
normalized size 1 1.00 0.92 1.28 0.92 0.88 1.16 0.92 1.00
time (sec) N/A 0.010 0.005 0.066 0.443 0.439 0.158 0.158 0.064
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 30 31 24 20 22 30 20
normalized size 1 1.00 0.88 0.91 0.71 0.59 0.65 0.88 0.59
time (sec) N/A 0.014 0.007 0.065 0.444 0.475 0.113 0.155 0.051
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 39 28 24 27 42 22
normalized size 1 1.00 1.00 0.98 0.70 0.60 0.68 1.05 0.55
time (sec) N/A 0.016 0.009 0.068 0.441 0.439 0.115 0.161 0.377
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 25 25 26 25 25
normalized size 1 1.00 1.00 0.84 0.81 0.81 0.84 0.81 0.81
time (sec) N/A 0.029 0.008 0.065 0.988 0.462 0.143 0.162 0.405
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 23 0 22 20 22 22
normalized size 1 1.00 1.00 0.88 0.00 0.85 0.77 0.85 0.85
time (sec) N/A 0.004 0.017 0.066 0.000 0.449 7.481 0.183 0.079
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 23 0 22 20 22 22
normalized size 1 1.00 1.00 0.88 0.00 0.85 0.77 0.85 0.85
time (sec) N/A 0.004 0.017 0.073 0.000 0.450 5.784 0.162 0.555
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 23 0 22 20 22 22
normalized size 1 1.00 1.00 0.88 0.00 0.85 0.77 0.85 0.85
time (sec) N/A 0.005 0.018 0.067 0.000 0.457 6.924 0.160 0.486
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 43 52 0 28 0 40 37
normalized size 1 1.00 1.00 1.21 0.00 0.65 0.00 0.93 0.86
time (sec) N/A 0.012 0.024 0.071 0.000 0.518 0.000 0.178 1.079
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 15 14 13 14 66 13 9
normalized size 1 1.00 0.71 0.67 0.62 0.67 3.14 0.62 0.43
time (sec) N/A 0.007 0.003 0.066 0.445 0.458 2.610 0.158 0.340
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 12 13 24 14 10 14 13
normalized size 1 1.00 0.92 1.00 1.85 1.08 0.77 1.08 1.00
time (sec) N/A 0.005 0.003 0.065 0.525 0.435 0.391 0.161 0.362
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 7 14 6 3 6 6
normalized size 1 1.00 1.00 1.17 2.33 1.00 0.50 1.00 1.00
time (sec) N/A 0.010 0.001 0.065 0.763 0.432 0.092 0.158 0.355
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 38 34 33 38 184 33 26
normalized size 1 1.00 1.19 1.06 1.03 1.19 5.75 1.03 0.81
time (sec) N/A 0.205 0.015 0.072 0.630 0.459 0.888 0.183 0.112
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 16 16 15 16 16
normalized size 1 1.00 1.00 1.06 1.00 1.00 0.94 1.00 1.00
time (sec) N/A 0.007 0.003 0.070 1.547 0.434 0.141 0.161 0.050
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 22 29 23 34 23 19
normalized size 1 1.00 1.00 1.10 1.45 1.15 1.70 1.15 0.95
time (sec) N/A 0.005 0.007 0.067 0.590 0.439 0.486 0.178 0.387
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 31 44 33 33 32 139 29
normalized size 1 1.00 0.89 1.26 0.94 0.94 0.91 3.97 0.83
time (sec) N/A 0.006 0.005 0.166 0.611 0.503 0.168 0.187 0.095
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 14 12 12 15 12 12
normalized size 1 1.00 1.00 1.17 1.00 1.00 1.25 1.00 1.00
time (sec) N/A 0.003 0.002 0.073 0.608 0.429 0.106 0.172 0.051
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 27 39 28 28 27 29 40
normalized size 1 1.00 0.75 1.08 0.78 0.78 0.75 0.81 1.11
time (sec) N/A 0.015 0.010 0.085 0.774 0.426 0.146 0.168 0.486
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 53 42 42 48 43 56
normalized size 1 1.00 1.00 0.98 0.78 0.78 0.89 0.80 1.04
time (sec) N/A 0.039 0.015 0.084 0.683 0.441 0.168 0.174 0.585
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 55 52 42 41 31 46
normalized size 1 1.00 0.94 1.57 1.49 1.20 1.17 0.89 1.31
time (sec) N/A 0.015 0.021 0.066 0.570 0.415 0.192 0.160 0.473
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 44 82 74 64 63 31 73
normalized size 1 1.00 1.26 2.34 2.11 1.83 1.80 0.89 2.09
time (sec) N/A 0.025 0.017 0.069 0.599 0.462 0.227 0.221 0.461
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 10 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.87 0.87
time (sec) N/A 0.018 0.002 0.063 0.697 0.520 0.258 0.162 0.546
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 21 32 31 21 26 32 25
normalized size 1 1.00 0.68 1.03 1.00 0.68 0.84 1.03 0.81
time (sec) N/A 0.022 0.006 0.079 0.671 0.499 0.199 0.175 0.492
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 30 96 44 47 185 0 52
normalized size 1 1.00 0.68 2.18 1.00 1.07 4.20 0.00 1.18
time (sec) N/A 0.030 0.014 0.073 0.533 0.451 1.470 0.000 0.460
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 24 19 34 45 18
normalized size 1 1.00 1.00 1.06 1.33 1.06 1.89 2.50 1.00
time (sec) N/A 0.011 0.018 0.067 0.660 0.437 1.149 0.159 0.379
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 24 0 121 126 26 71
normalized size 1 1.00 1.00 0.75 0.00 3.78 3.94 0.81 2.22
time (sec) N/A 0.018 0.025 0.071 0.000 0.436 5.978 0.158 0.469
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 112 120 0 480 330 239 153
normalized size 1 1.00 0.78 0.83 0.00 3.33 2.29 1.66 1.06
time (sec) N/A 0.094 0.051 0.073 0.000 0.491 52.756 0.209 2.283
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 167 168 0 195 246 170 95
normalized size 1 1.00 0.74 0.74 0.00 0.86 1.08 0.75 0.42
time (sec) N/A 0.162 0.065 0.069 0.000 0.460 36.006 0.215 2.239
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 34 35 33 28 99 53 27
normalized size 1 1.00 1.26 1.30 1.22 1.04 3.67 1.96 1.00
time (sec) N/A 0.023 0.016 0.070 0.702 0.436 2.703 0.166 0.365
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 47 43 0 143 177 38 45
normalized size 1 1.00 1.18 1.08 0.00 3.58 4.42 0.95 1.12
time (sec) N/A 0.027 0.026 0.071 0.000 0.487 7.893 0.164 0.375
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 132 136 0 149 367 257 174
normalized size 1 1.00 0.89 0.91 0.00 1.00 2.46 1.72 1.17
time (sec) N/A 0.109 0.053 0.070 0.000 0.470 54.105 0.223 2.401
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 211 181 0 192 270 178 176
normalized size 1 1.00 0.91 0.78 0.00 0.82 1.16 0.76 0.76
time (sec) N/A 0.183 0.067 0.108 0.000 0.469 36.989 0.213 2.212
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 20 0 21 22 0 19
normalized size 1 1.00 1.00 0.91 0.00 0.95 1.00 0.00 0.86
time (sec) N/A 0.018 0.030 0.071 0.000 0.417 0.172 0.000 0.431
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 42 38 37 39 22 0 37
normalized size 1 1.00 1.02 0.93 0.90 0.95 0.54 0.00 0.90
time (sec) N/A 0.058 0.092 0.060 1.495 0.461 0.184 0.000 0.574
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 42 38 0 39 22 0 37
normalized size 1 1.00 1.02 0.93 0.00 0.95 0.54 0.00 0.90
time (sec) N/A 0.033 0.076 0.069 0.000 0.433 0.194 0.000 0.354
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 44 40 0 41 19 0 37
normalized size 1 1.00 1.05 0.95 0.00 0.98 0.45 0.00 0.88
time (sec) N/A 0.046 0.094 0.072 0.000 0.432 0.185 0.000 0.598
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 17 21 27 22 21
normalized size 1 1.00 1.00 0.84 0.53 0.66 0.84 0.69 0.66
time (sec) N/A 0.021 0.002 0.070 0.680 0.441 0.129 0.162 0.410
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 59 0 0 0 0 0 -1
normalized size 1 1.00 1.48 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.029 0.011 0.113 0.000 0.000 0.000 0.000 0.000
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 60 0 0 0 0 0 -1
normalized size 1 1.00 1.54 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.025 0.013 0.111 0.000 0.000 0.000 0.000 0.000
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 62 0 0 0 0 32 -1
normalized size 1 1.00 1.44 0.00 0.00 0.00 0.00 0.74 -0.02
time (sec) N/A 0.031 0.010 1.320 0.000 0.000 0.000 0.202 0.000
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 121 102 0 0 0 0 -1
normalized size 1 1.00 0.99 0.84 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.145 0.078 0.071 0.000 0.423 0.000 0.000 0.000
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 73 114 111 0 0 0 -1
normalized size 1 1.00 0.90 1.41 1.37 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.032 0.077 0.682 0.418 0.000 0.000 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 5 12 8 10 0 4
normalized size 1 1.00 1.00 0.56 1.33 0.89 1.11 0.00 0.44
time (sec) N/A 0.009 0.002 0.063 0.638 0.423 1.724 0.000 0.018
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 35 77 82 0 0 0 59
normalized size 1 1.00 0.81 1.79 1.91 0.00 0.00 0.00 1.37
time (sec) N/A 0.073 0.019 0.066 0.637 0.460 0.000 0.000 0.315
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 31 31 49 0 192 0 -1
normalized size 1 1.00 1.03 1.03 1.63 0.00 6.40 0.00 -0.03
time (sec) N/A 0.099 0.011 0.073 0.551 0.438 117.576 0.000 0.000
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 7 8 7 7 0 0 7
normalized size 1 1.00 1.00 1.14 1.00 1.00 0.00 0.00 1.00
time (sec) N/A 0.027 0.112 0.079 1.093 0.426 0.000 0.000 0.417
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 63 57 57 58 46 59 59
normalized size 1 1.00 0.93 0.84 0.84 0.85 0.68 0.87 0.87
time (sec) N/A 0.251 0.032 0.083 1.292 0.421 0.249 0.216 0.456
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 24 23 31 24 23 23
normalized size 1 1.00 1.00 0.83 0.79 1.07 0.83 0.79 0.79
time (sec) N/A 0.018 0.012 0.064 0.624 0.432 7.630 0.163 0.076
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 28 18 18 14 80 18
normalized size 1 1.00 1.00 1.56 1.00 1.00 0.78 4.44 1.00
time (sec) N/A 0.004 0.002 0.201 0.635 0.450 0.108 0.165 0.362
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 21 35 25 21 15 103 21
normalized size 1 1.00 0.78 1.30 0.93 0.78 0.56 3.81 0.78
time (sec) N/A 0.005 0.003 0.166 0.581 0.425 0.121 0.226 0.083
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 60 112 54 54 41 56 55
normalized size 1 1.00 1.05 1.96 0.95 0.95 0.72 0.98 0.96
time (sec) N/A 0.057 0.050 0.280 1.452 0.425 0.200 0.212 0.417
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 62 249 0 0 0 0 -1
normalized size 1 1.00 1.03 4.15 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.081 0.007 0.618 0.000 0.429 0.000 0.000 0.000
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 239 158 0 0 0 0 -1
normalized size 1 1.00 3.92 2.59 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.105 0.046 0.191 0.000 0.407 0.000 0.000 0.000
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 373 0 0 0 0 0 -1
normalized size 1 1.00 2.26 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.192 0.196 180.000 0.000 0.427 0.000 0.000 0.000
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 29 29 134 0 0 37 0 0 -1
normalized size 1 1.00 4.62 0.00 0.00 1.28 0.00 0.00 -0.03
time (sec) N/A 0.034 0.648 0.502 0.000 0.437 0.000 0.000 0.000
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 29 29 134 0 0 36 0 0 -1
normalized size 1 1.00 4.62 0.00 0.00 1.24 0.00 0.00 -0.03
time (sec) N/A 0.034 0.574 0.507 0.000 0.442 0.000 0.000 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 15 10 10 8 10 17
normalized size 1 1.00 1.00 0.88 0.59 0.59 0.47 0.59 1.00
time (sec) N/A 0.003 0.003 0.063 0.624 0.394 0.079 0.169 0.065
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 25 27 16 20 34 16 49
normalized size 1 1.00 0.93 1.00 0.59 0.74 1.26 0.59 1.81
time (sec) N/A 0.009 0.026 0.158 0.527 0.456 2.550 0.229 0.598
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 31 25 34 26 25 0 26 27
normalized size 1 1.24 1.00 1.36 1.04 1.00 0.00 1.04 1.08
time (sec) N/A 0.053 0.024 0.062 0.742 0.401 0.000 0.156 0.661
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 22 26 24 23 26 24 20
normalized size 1 1.00 0.85 1.00 0.92 0.88 1.00 0.92 0.77
time (sec) N/A 0.035 0.043 0.623 0.857 0.425 7.376 0.173 0.366
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 13 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08
time (sec) N/A 0.036 7.029 0.077 0.000 0.400 0.000 0.000 0.000
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 11 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.09
time (sec) N/A 0.022 5.719 0.070 0.000 0.412 0.000 0.000 0.000
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 9 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.11
time (sec) N/A 0.008 0.006 0.069 0.000 0.408 0.000 0.000 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 13 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08
time (sec) N/A 0.032 0.038 0.072 0.000 0.441 0.000 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 13 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08
time (sec) N/A 0.034 6.660 0.075 0.000 0.405 0.000 0.000 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 9 11 10 11 11
normalized size 1 1.00 1.00 0.92 0.69 0.85 0.77 0.85 0.85
time (sec) N/A 0.024 0.009 0.066 0.788 0.430 0.118 0.161 0.464
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 10 11 10 10 8 14 10
normalized size 1 1.00 1.11 1.22 1.11 1.11 0.89 1.56 1.11
time (sec) N/A 0.072 0.051 0.073 0.896 0.421 0.141 0.172 0.374
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 0 0 13 15 0 13
normalized size 1 1.00 1.00 0.00 0.00 1.00 1.15 0.00 1.00
time (sec) N/A 0.142 0.041 0.074 0.000 0.398 4.295 0.000 0.395
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 53 108 67 48 53 88 63
normalized size 1 1.00 0.79 1.61 1.00 0.72 0.79 1.31 0.94
time (sec) N/A 0.074 0.033 0.145 0.558 0.455 40.984 0.246 0.644
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-2) A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 53 0 68 49 53 53 38
normalized size 1 1.00 1.06 0.00 1.36 0.98 1.06 1.06 0.76
time (sec) N/A 0.057 0.039 180.000 0.590 0.454 45.788 0.228 0.448
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 22 18 18 17 47 18
normalized size 1 1.00 0.90 1.05 0.86 0.86 0.81 2.24 0.86
time (sec) N/A 0.008 0.004 0.172 0.592 0.399 0.111 0.157 0.057
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-2) A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 53 0 68 49 53 53 38
normalized size 1 1.00 1.06 0.00 1.36 0.98 1.06 1.06 0.76
time (sec) N/A 0.049 0.040 180.000 0.631 0.428 46.257 0.227 0.431
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 64 107 67 48 53 88 63
normalized size 1 1.00 0.93 1.55 0.97 0.70 0.77 1.28 0.91
time (sec) N/A 0.052 0.029 0.137 0.607 0.433 41.295 0.269 0.324
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 11 9 9 10 0 9
normalized size 1 1.00 1.00 1.22 1.00 1.00 1.11 0.00 1.00
time (sec) N/A 0.022 0.014 0.072 0.823 0.441 0.263 0.000 0.366
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 0 0 16 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.62 0.00 0.00 -0.04
time (sec) N/A 0.025 0.014 0.275 0.000 0.457 0.000 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 72 0 108 0 0 89 -1
normalized size 1 1.00 1.20 0.00 1.80 0.00 0.00 1.48 -0.02
time (sec) N/A 0.069 0.127 0.176 0.704 0.000 0.000 0.284 0.000
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 71 0 94 0 0 74 -1
normalized size 1 1.00 1.11 0.00 1.47 0.00 0.00 1.16 -0.02
time (sec) N/A 0.068 0.097 0.172 0.647 0.000 0.000 0.338 0.000
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F(-2) F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 80 0 156 0 0 129 -1
normalized size 1 1.00 1.16 0.00 2.26 0.00 0.00 1.87 -0.01
time (sec) N/A 0.069 0.148 0.148 0.742 0.000 0.000 0.305 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 79 0 130 0 0 106 -1
normalized size 1 1.00 1.11 0.00 1.83 0.00 0.00 1.49 -0.01
time (sec) N/A 0.079 0.130 0.149 0.664 0.000 0.000 0.306 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 95 0 94 234 0 0 -1
normalized size 1 1.00 0.97 0.00 0.96 2.39 0.00 0.00 -0.01
time (sec) N/A 0.290 0.062 1.438 2.057 0.509 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 79 0 70 174 0 0 -1
normalized size 1 1.00 0.99 0.00 0.88 2.18 0.00 0.00 -0.01
time (sec) N/A 0.182 0.040 1.333 1.922 0.469 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 47 368 43 109 0 0 -1
normalized size 1 1.00 0.90 7.08 0.83 2.10 0.00 0.00 -0.02
time (sec) N/A 0.062 0.031 0.840 1.764 0.456 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 13 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.08
time (sec) N/A 0.019 2.368 3.178 0.000 0.458 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.345 2.014 3.264 0.000 0.461 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 100 0 94 241 0 0 -1
normalized size 1 1.00 0.97 0.00 0.91 2.34 0.00 0.00 -0.01
time (sec) N/A 0.203 0.069 2.473 2.417 0.491 0.000 0.000 0.000
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 82 0 70 181 0 0 -1
normalized size 1 1.00 0.96 0.00 0.82 2.13 0.00 0.00 -0.01
time (sec) N/A 0.139 0.067 2.354 1.428 0.513 0.000 0.000 0.000
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 56 583 43 116 0 0 -1
normalized size 1 1.00 0.98 10.23 0.75 2.04 0.00 0.00 -0.02
time (sec) N/A 0.064 0.030 1.045 1.291 0.492 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.022 0.876 4.235 0.000 0.457 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.069 2.465 4.358 0.000 0.483 0.000 0.000 0.000

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 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 0 0 0.00 0 0.000
2 A 10 5 1.00 32 0.156
3 A 8 5 1.00 32 0.156
4 A 6 5 1.00 30 0.167
5 A 2 2 1.00 14 0.143
6 A 0 0 0.00 0 0.000
7 A 0 0 0.00 0 0.000
8 A 0 0 0.00 0 0.000
9 A 13 5 1.00 28 0.179
10 A 8 5 1.00 28 0.179
11 A 5 4 1.00 26 0.154
12 A 1 1 1.00 10 0.100
13 A 0 0 0.00 0 0.000
14 A 0 0 0.00 0 0.000
15 A 0 0 0.00 0 0.000
16 A 1 1 1.00 43 0.023
17 A 1 1 1.00 43 0.023
18 A 1 1 1.00 41 0.024
19 A 4 3 1.00 25 0.120
20 A 1 1 1.00 43 0.023
21 A 1 1 1.00 43 0.023
22 A 1 1 1.00 43 0.023
23 A 3 2 1.00 39 0.051
24 A 3 2 1.00 37 0.054
25 A 2 1 1.00 15 0.067
26 A 2 2 1.00 34 0.059
27 A 3 2 1.00 37 0.054
28 A 3 2 1.00 39 0.051
29 A 2 2 1.00 45 0.044
30 A 0 0 0.00 0 0.000
31 A 9 4 1.00 40 0.100
32 A 7 4 1.00 40 0.100
33 A 5 4 1.00 38 0.105
34 A 4 3 1.00 22 0.136
35 A 0 0 0.00 0 0.000
36 A 0 0 0.00 0 0.000
37 A 0 0 0.00 0 0.000
38 A 1 1 1.00 60 0.017
39 A 0 0 0.00 0 0.000
40 A 1 1 1.00 39 0.026
41 A 1 1 1.00 40 0.025
42 A 1 1 1.00 41 0.024
43 A 1 1 1.00 42 0.024
44 A 1 1 1.00 40 0.025
45 A 1 1 1.00 41 0.024
46 A 3 3 1.00 19 0.158
47 A 3 3 1.00 21 0.143
48 A 3 3 1.00 19 0.158
49 A 3 3 1.00 17 0.176
50 A 4 3 1.00 15 0.200
51 A 1 1 1.00 19 0.053
52 A 3 3 1.00 19 0.158
53 A 3 3 1.00 19 0.158
54 A 3 3 1.00 19 0.158
55 A 2 2 1.00 9 0.222
56 A 1 1 1.00 13 0.077
57 A 3 3 1.00 11 0.273
58 A 1 1 1.00 15 0.067
59 A 3 3 1.00 18 0.167
60 A 3 2 1.00 18 0.111
61 A 3 2 1.00 18 0.111
62 A 3 2 1.00 18 0.111
63 A 3 2 1.00 16 0.125
64 A 3 2 1.00 14 0.143
65 A 7 6 1.00 18 0.333
66 A 3 2 1.00 18 0.111
67 A 3 2 1.00 18 0.111
68 A 3 2 1.00 18 0.111
69 A 3 2 1.00 18 0.111
70 A 5 3 1.00 19 0.158
71 A 7 6 1.00 19 0.316
72 A 7 6 1.00 19 0.316
73 A 7 6 1.00 19 0.316
74 A 7 6 1.00 17 0.353
75 A 6 6 1.00 15 0.400
76 A 7 4 1.00 19 0.210
77 A 7 6 1.00 19 0.316
78 A 7 6 1.00 19 0.316
79 A 7 6 1.00 19 0.316
80 A 7 6 1.00 19 0.316
81 A 6 6 1.00 7 0.857
82 A 7 6 1.00 23 0.261
83 A 7 6 1.00 23 0.261
84 A 7 6 1.00 23 0.261
85 A 7 6 1.00 21 0.286
86 A 6 6 1.00 15 0.400
87 A 9 5 1.00 23 0.217
88 A 7 6 1.00 23 0.261
89 A 7 6 1.00 23 0.261
90 A 7 6 1.00 23 0.261
91 A 7 6 1.00 23 0.261
92 A 6 7 1.00 25 0.280
93 A 8 9 1.00 32 0.281
94 A 20 6 1.00 25 0.240
95 A 20 6 1.00 28 0.214
96 A 14 10 1.00 16 0.625
97 A 27 14 1.00 17 0.824
98 A 28 12 1.00 21 0.571
99 A 27 14 1.00 9 1.556
100 A 34 16 1.00 13 1.231
101 A 25 11 1.00 21 0.524
102 A 20 10 1.00 21 0.476
103 A 16 10 1.00 19 0.526
104 A 13 9 1.00 17 0.529
105 A 0 0 0.00 0 0.000
106 A 19 11 1.00 21 0.524
107 A 20 12 1.00 21 0.571
108 A 15 12 1.00 23 0.522
109 A 13 12 1.00 23 0.522
110 A 12 10 1.00 23 0.435
111 A 15 13 1.00 23 0.565
112 A 18 13 1.00 23 0.565
113 A 6 5 1.00 12 0.417
114 A 5 5 1.00 12 0.417
115 A 4 4 1.00 10 0.400
116 A 4 4 1.00 8 0.500
117 A 0 0 0.00 0 0.000
118 A 5 4 1.00 20 0.200
119 A 4 4 1.00 20 0.200
120 A 3 3 1.00 18 0.167
121 A 2 2 1.00 16 0.125
122 A 0 0 0.00 0 0.000
123 A 6 5 1.00 20 0.250
124 A 5 5 1.00 20 0.250
125 A 4 4 1.00 18 0.222
126 A 4 4 1.00 16 0.250
127 A 0 0 0.00 0 0.000
128 A 3 3 1.00 16 0.188
129 A 2 2 1.00 10 0.200
130 A 2 2 1.00 12 0.167
131 A 2 2 1.00 10 0.200
132 A 2 2 1.00 10 0.200
133 A 2 1 1.00 12 0.083
134 A 3 2 1.00 14 0.143
135 A 2 1 1.00 16 0.062
136 A 2 1 1.00 14 0.071
137 A 7 6 1.00 16 0.375
138 A 2 1 1.00 15 0.067
139 A 2 2 1.00 8 0.250
140 A 3 2 1.00 9 0.222
141 A 3 2 1.00 16 0.125
142 A 3 2 1.00 16 0.125
143 A 4 3 1.00 18 0.167
144 A 3 2 1.00 16 0.125
145 A 3 2 1.00 14 0.143
146 A 3 2 1.00 16 0.125
147 A 4 4 1.00 16 0.250
148 A 3 1 1.00 20 0.050
149 A 3 2 1.00 14 0.143
150 A 3 2 1.00 14 0.143
151 A 3 2 1.00 16 0.125
152 A 3 2 1.00 16 0.125
153 A 4 3 1.00 10 0.300
154 A 5 6 1.00 9 0.667
155 A 5 6 1.00 11 0.546
156 A 15 8 1.00 11 0.727
157 A 5 6 1.00 9 0.667
158 A 7 8 1.00 11 0.727
159 A 15 8 1.00 11 0.727
160 A 4 3 1.00 12 0.250
161 A 5 5 1.00 5 1.000
162 A 6 6 1.00 7 0.857
163 A 6 6 1.00 7 0.857
164 A 5 5 1.00 5 1.000
165 A 6 6 1.00 7 0.857
166 A 6 6 1.00 7 0.857
167 A 7 5 1.00 5 1.000
168 A 8 6 1.00 7 0.857
169 A 8 6 1.00 7 0.857
170 A 7 5 1.00 5 1.000
171 A 8 6 1.00 7 0.857
172 A 8 6 1.00 7 0.857
173 A 5 5 1.00 5 1.000
174 A 6 6 1.00 7 0.857
175 A 6 6 1.00 7 0.857
176 A 5 5 1.00 5 1.000
177 A 6 6 1.00 7 0.857
178 A 6 6 1.00 7 0.857
179 A 3 3 1.00 16 0.188
180 A 3 2 1.00 10 0.200
181 A 5 4 1.00 10 0.400
182 A 3 4 1.00 8 0.500
183 A 2 3 1.00 6 0.500
184 A 4 4 1.00 10 0.400
185 A 2 2 1.00 35 0.057
186 A 3 3 1.00 8 0.375
187 A 2 3 1.00 6 0.500
188 A 2 2 1.00 6 0.333
189 A 4 5 1.00 6 0.833
190 A 2 2 1.00 6 0.333
191 A 10 9 1.00 8 1.125
192 A 7 7 1.00 8 0.875
193 A 8 8 1.00 7 1.143
194 A 3 4 1.00 8 0.500
195 A 5 6 1.00 9 0.667
196 A 7 8 1.00 11 0.727
197 A 15 8 1.00 11 0.727
198 A 5 6 1.00 9 0.667
199 A 7 8 1.00 11 0.727
200 A 15 8 1.00 11 0.727
201 A 5 5 1.00 5 1.000
202 A 6 6 1.00 7 0.857
203 A 6 6 1.00 7 0.857
204 A 5 5 1.00 5 1.000
205 A 6 6 1.00 7 0.857
206 A 6 6 1.00 7 0.857
207 A 7 5 1.00 3 1.667
208 A 7 5 1.00 5 1.000
209 A 8 6 1.00 7 0.857
210 A 8 6 1.00 7 0.857
211 A 7 5 1.00 3 1.667
212 A 7 5 1.00 5 1.000
213 A 8 6 1.00 7 0.857
214 A 8 6 1.00 7 0.857
215 A 5 5 1.00 5 1.000
216 A 6 6 1.00 7 0.857
217 A 6 6 1.00 7 0.857
218 A 5 5 1.00 5 1.000
219 A 6 6 1.00 7 0.857
220 A 6 6 1.00 7 0.857
221 A 2 2 1.00 35 0.057
222 A 3 3 1.00 8 0.375
223 A 1 1 1.00 8 0.125
224 A 3 3 1.00 10 0.300
225 A 2 1 1.00 16 0.062
226 A 3 3 1.00 9 0.333
227 A 2 2 1.00 10 0.200
228 A 3 2 1.00 10 0.200
229 A 3 2 1.00 12 0.167
230 A 4 3 1.00 8 0.375
231 A 2 2 1.00 12 0.167
232 A 2 2 1.00 12 0.167
233 A 2 2 1.00 14 0.143
234 A 6 6 1.00 14 0.429
235 A 1 1 1.00 8 0.125
236 A 2 2 1.00 4 0.500
237 A 1 1 1.00 10 0.100
238 A 3 1 1.00 11 0.091
239 A 3 3 1.00 6 0.500
240 A 2 2 1.00 8 0.250
241 A 2 2 1.00 14 0.143
242 A 2 2 1.00 6 0.333
243 A 4 3 1.00 10 0.300
244 A 4 3 1.00 14 0.214
245 A 2 2 1.00 12 0.167
246 A 2 2 1.00 14 0.143
247 A 2 2 1.00 14 0.143
248 A 2 2 1.00 14 0.143
249 A 2 2 1.00 14 0.143
250 A 2 1 1.00 15 0.067
251 A 2 1 1.00 17 0.059
252 A 7 6 1.00 17 0.353
253 A 10 6 1.00 17 0.353
254 A 3 1 1.00 17 0.059
255 A 3 2 1.00 17 0.118
256 A 8 7 1.00 17 0.412
257 A 11 7 1.00 17 0.412
258 A 3 2 1.00 18 0.111
259 A 5 4 1.00 26 0.154
260 A 5 4 1.00 21 0.190
261 A 7 5 1.00 27 0.185
262 A 2 2 1.00 10 0.200
263 A 3 3 1.00 12 0.250
264 A 3 3 1.00 12 0.250
265 A 3 3 1.00 12 0.250
266 A 8 7 1.00 15 0.467
267 A 7 7 1.00 15 0.467
268 A 1 1 1.00 8 0.125
269 A 6 6 1.00 19 0.316
270 A 5 4 1.00 19 0.210
271 A 2 1 1.00 14 0.071
272 A 8 7 1.00 24 0.292
273 A 4 3 1.00 8 0.375
274 A 2 2 1.00 9 0.222
275 A 2 2 1.00 10 0.200
276 A 8 6 1.00 22 0.273
277 A 5 6 1.00 18 0.333
278 A 5 6 1.00 20 0.300
279 A 5 6 1.00 25 0.240
280 A 1 1 1.00 39 0.026
281 A 1 1 1.00 39 0.026
282 A 2 2 1.00 8 0.250
283 A 3 3 1.00 10 0.300
284 A 5 5 1.24 12 0.417
285 A 3 4 1.00 10 0.400
286 A 0 0 0.00 0 0.000
287 A 0 0 0.00 0 0.000
288 A 0 0 0.00 0 0.000
289 A 0 0 0.00 0 0.000
290 A 0 0 0.00 0 0.000
291 A 2 2 1.00 14 0.143
292 A 2 2 1.00 16 0.125
293 A 8 6 1.00 14 0.429
294 A 5 3 1.00 14 0.214
295 A 6 4 1.00 14 0.286
296 A 4 4 1.00 12 0.333
297 A 5 3 1.00 14 0.214
298 A 7 4 1.00 14 0.286
299 A 2 1 1.00 14 0.071
300 A 3 3 1.00 6 0.500
301 A 4 4 1.00 13 0.308
302 A 4 4 1.00 14 0.286
303 A 4 4 1.00 17 0.235
304 A 4 4 1.00 18 0.222
305 A 13 13 1.00 10 1.300
306 A 12 12 1.00 8 1.500
307 A 7 6 1.00 6 1.000
308 A 0 0 0.00 0 0.000
309 A 0 0 0.00 0 0.000
310 A 14 12 1.00 13 0.923
311 A 13 11 1.00 11 1.000
312 A 7 6 1.00 9 0.667
313 A 0 0 0.00 0 0.000
314 A 0 0 0.00 0 0.000

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