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Chapter 2
detailed summary tables of results

 2.1 List of integrals sorted by grade for each CAS
  2.1.1 Rubi
  2.1.2 Mathematica
  2.1.3 Maple
  2.1.4 Maxima
  2.1.5 FriCAS
  2.1.6 Sympy
  2.1.7 Giac
  2.1.8 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 }

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, 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, 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, 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, 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, 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, 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, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 308, 309, 310, 311 }

B grade: { }

C grade: { 280, 281, 282 }

F grade: { 72, 98, 99, 175, 201, 202, 241, 304, 305, 306, 307 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 29, 30, 31, 32, 33, 34, 37, 38, 39, 43, 47, 48, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 75, 76, 77, 78, 79, 80, 83, 87, 88, 89, 90, 91, 92, 93, 94, 95, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 120, 121, 122, 123, 124, 128, 132, 133, 134, 135, 136, 137, 140, 141, 142, 146, 151, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 178, 179, 180, 181, 182, 183, 186, 191, 192, 193, 194, 195, 196, 197, 198, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 223, 224, 225, 226, 227, 231, 238, 239, 240, 244, 245, 249, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 286, 287, 288, 296, 297, 298, 299, 300, 301, 302, 303 }

B grade: { 118, 119, 150, 190, 221, 222 }

C grade: { }

F grade: { 22, 23, 24, 26, 27, 28, 35, 36, 40, 41, 42, 44, 45, 46, 49, 52, 67, 68, 69, 70, 71, 72, 73, 74, 81, 82, 84, 85, 86, 96, 97, 98, 99, 100, 101, 102, 103, 107, 125, 126, 127, 129, 130, 131, 138, 139, 143, 144, 145, 147, 148, 149, 152, 153, 154, 155, 170, 171, 172, 173, 174, 175, 176, 177, 184, 185, 187, 188, 189, 199, 200, 201, 202, 203, 204, 205, 206, 228, 229, 230, 232, 233, 234, 235, 236, 237, 241, 242, 243, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 289, 290, 291, 292, 293, 294, 295, 304, 305, 306, 307, 308, 309, 310, 311 }

2.1.4 Maxima

A grade: { 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 25, 31, 32, 33, 34, 38, 39, 43, 47, 48, 49, 50, 51, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 77, 78, 79, 80, 83, 87, 88, 89, 90, 91, 92, 93, 94, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 121, 122, 123, 124, 128, 135, 136, 137, 141, 142, 146, 159, 160, 161, 162, 163, 164, 165, 166, 181, 182, 183, 186, 191, 192, 193, 194, 195, 196, 197, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 224, 225, 226, 227, 231, 238, 239, 240, 244, 245, 249, 262, 263, 264, 265, 266, 267, 268, 269, 286, 287, 288, 296, 297, 298, 299, 300, 301, 302 }

B grade: { }

C grade: { 207, 208, 209 }

F grade: { 4, 15, 16, 17, 22, 23, 24, 26, 27, 28, 29, 30, 35, 36, 37, 40, 41, 42, 44, 45, 46, 52, 53, 54, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 81, 82, 84, 85, 86, 95, 96, 97, 98, 99, 100, 101, 102, 103, 107, 118, 119, 120, 125, 126, 127, 129, 130, 131, 132, 133, 134, 138, 139, 140, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 184, 185, 187, 188, 189, 190, 198, 199, 200, 201, 202, 203, 204, 205, 206, 210, 221, 222, 223, 228, 229, 230, 232, 233, 234, 235, 236, 237, 241, 242, 243, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 289, 290, 291, 292, 293, 294, 295, 303, 304, 305, 306, 307, 308, 309, 310, 311 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 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, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 104, 105, 106, 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, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 207, 208, 209, 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, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303 }

B grade: { 140, 146 }

C grade: { }

F grade: { 4, 67, 68, 69, 70, 71, 72, 73, 74, 96, 97, 98, 99, 100, 101, 102, 103, 107, 170, 171, 172, 173, 174, 175, 176, 177, 199, 200, 201, 202, 203, 204, 205, 206, 210, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 304, 305, 306, 307, 308, 309, 310, 311 }

2.1.6 Sympy

A grade: { 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 32, 33, 34, 38, 39, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 78, 79, 80, 81, 82, 83, 88, 89, 92, 93, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 135, 136, 137, 141, 142, 150, 151, 152, 153, 154, 155, 159, 160, 161, 162, 163, 164, 165, 166, 168, 169, 181, 182, 183, 184, 185, 186, 191, 192, 195, 196, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 238, 239, 240, 244, 245, 253, 254, 255, 256, 257, 258, 262, 263, 264, 265, 266, 267, 268, 269, 271, 272, 286, 287, 288, 289, 290, 291, 296, 297, 299, 300, 301, 302, 303 }

B grade: { }

C grade: { 218, 219, 220 }

F grade: { 4, 26, 27, 28, 29, 30, 31, 35, 36, 37, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 64, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 84, 85, 86, 87, 90, 91, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 107, 129, 130, 131, 132, 133, 134, 138, 139, 140, 143, 144, 145, 146, 147, 148, 149, 156, 157, 158, 167, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 187, 188, 189, 190, 193, 194, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 210, 232, 233, 234, 235, 236, 237, 241, 242, 243, 246, 247, 248, 249, 250, 251, 252, 259, 260, 261, 270, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 292, 293, 294, 295, 298, 304, 305, 306, 307, 308, 309, 310, 311 }

2.1.7 Giac

A grade: { 1, 2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 29, 30, 31, 32, 33, 34, 38, 39, 40, 41, 42, 43, 46, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 75, 76, 77, 78, 79, 80, 86, 87, 88, 89, 90, 91, 92, 93, 94, 104, 105, 106, 111, 112, 113, 114, 118, 119, 120, 121, 122, 123, 124, 128, 132, 133, 134, 135, 136, 137, 141, 142, 143, 144, 145, 146, 149, 159, 160, 161, 162, 163, 164, 165, 166, 181, 182, 183, 191, 192, 193, 194, 195, 196, 197, 225, 226, 227, 231, 238, 239, 240, 244, 245, 262, 263, 264, 265, 266, 267, 268, 269, 286, 287, 288, 296, 297, 298, 299, 300, 301, 302 }

B grade: { }

C grade: { }

F grade: { 4, 5, 6, 7, 22, 23, 24, 26, 27, 28, 35, 36, 37, 44, 45, 47, 48, 49, 50, 51, 52, 67, 68, 69, 70, 71, 72, 73, 74, 81, 82, 83, 84, 85, 95, 96, 97, 98, 99, 100, 101, 102, 103, 107, 108, 109, 110, 115, 116, 117, 125, 126, 127, 129, 130, 131, 138, 139, 140, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 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, 228, 229, 230, 232, 233, 234, 235, 236, 237, 241, 242, 243, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 289, 290, 291, 292, 293, 294, 295, 303, 304, 305, 306, 307, 308, 309, 310, 311 }

2.1.8 Mupad

A grade: { 19, 20, 21, 25, 32, 33, 34, 38, 39, 56, 57, 58, 59, 60, 61, 62, 63, 78, 79, 80, 88, 89, 90, 91, 92, 93, 94, 122, 123, 124, 128, 135, 136, 137, 141, 142, 159, 160, 161, 162, 163, 164, 165, 166, 181, 182, 183, 191, 192, 193, 194, 195, 196, 197, 225, 226, 227, 231, 238, 239, 240, 244, 245, 262, 263, 264, 265, 266, 267, 268, 269, 286, 287, 288, 296, 297, 298, 299, 300, 301, 302 }

B grade: { 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 24, 29, 30, 31, 35, 36, 37, 43, 47, 48, 49, 50, 51, 52, 53, 54, 55, 64, 65, 66, 75, 76, 77, 81, 82, 83, 86, 87, 95, 104, 105, 106, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 125, 126, 127, 146, 150, 151, 152, 153, 154, 155, 167, 168, 169, 184, 185, 186, 207, 208, 209, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 228, 229, 230, 249, 253, 254, 255, 256, 257, 258, 259, 260, 261, 270, 271, 272, 283, 284, 285, 289, 290, 291, 294, 295, 303 }

C grade: { }

F grade: { 4, 26, 27, 28, 40, 41, 42, 44, 45, 46, 67, 68, 69, 70, 71, 72, 73, 74, 84, 85, 96, 97, 98, 99, 100, 101, 102, 103, 107, 110, 129, 130, 131, 132, 133, 134, 138, 139, 140, 143, 144, 145, 147, 148, 149, 156, 157, 158, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 187, 188, 189, 190, 198, 199, 200, 201, 202, 203, 204, 205, 206, 210, 232, 233, 234, 235, 236, 237, 241, 242, 243, 246, 247, 248, 250, 251, 252, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 292, 293, 304, 305, 306, 307, 308, 309, 310, 311 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 72 83 63 63 88 64 108
normalized size 1 1.00 0.75 0.86 0.66 0.66 0.92 0.67 1.12
time (sec) N/A 0.096 0.127 0.132 0.475 2.230 2.939 0.418 0.471
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 63 65 55 55 65 56 88
normalized size 1 1.00 0.89 0.92 0.77 0.77 0.92 0.79 1.24
time (sec) N/A 0.062 0.026 0.018 0.624 0.411 0.981 0.480 0.099
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 42 47 44 42 39 44 48
normalized size 1 1.00 0.91 1.02 0.96 0.91 0.85 0.96 1.04
time (sec) N/A 0.036 0.043 0.010 0.400 0.392 0.364 0.230 0.171
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 23 0 0 0 0 -1
normalized size 1 1.00 1.00 0.72 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.014 0.084 0.207 0.000 0.416 0.000 0.000 0.000
Problem 5 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 42 42 42 50 35 41 36 0 67
normalized size 1 1.00 1.00 1.19 0.83 0.98 0.86 0.00 1.60
time (sec) N/A 0.039 0.050 0.008 0.689 0.412 0.477 0.000 0.145
Problem 6 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 71 71 63 69 35 55 60 0 88
normalized size 1 1.00 0.89 0.97 0.49 0.77 0.85 0.00 1.24
time (sec) N/A 0.065 0.019 0.007 0.458 0.412 1.148 0.000 0.111
Problem 7 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 96 96 73 87 35 62 87 0 113
normalized size 1 1.00 0.76 0.91 0.36 0.65 0.91 0.00 1.18
time (sec) N/A 0.088 0.022 0.009 0.588 0.404 3.016 0.000 0.160
Problem 8 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 109 109 72 90 52 59 99 52 52
normalized size 1 1.00 0.66 0.83 0.48 0.54 0.91 0.48 0.48
time (sec) N/A 0.099 0.022 0.007 0.416 0.381 5.157 0.187 0.145
Problem 9 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 84 84 66 72 44 51 75 44 44
normalized size 1 1.00 0.79 0.86 0.52 0.61 0.89 0.52 0.52
time (sec) N/A 0.073 0.020 0.008 0.383 0.400 2.254 0.401 0.126
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 41 54 36 43 51 36 36
normalized size 1 1.00 0.69 0.92 0.61 0.73 0.86 0.61 0.61
time (sec) N/A 0.049 0.025 0.010 0.512 0.389 0.646 0.187 0.089
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 26 25 29 24 23 23
normalized size 1 1.00 1.00 1.00 0.96 1.12 0.92 0.88 0.88
time (sec) N/A 0.005 0.009 0.007 0.380 0.379 0.393 0.435 0.083
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 26 26 26 30 24 30 24 24 24
normalized size 1 1.00 1.00 1.15 0.92 1.15 0.92 0.92 0.92
time (sec) N/A 0.031 0.015 0.008 0.414 0.407 1.470 0.186 0.153
Problem 13 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 56 56 47 53 27 48 54 51 45
normalized size 1 1.00 0.84 0.95 0.48 0.86 0.96 0.91 0.80
time (sec) N/A 0.052 0.055 0.009 0.530 0.425 2.427 0.242 0.183
Problem 14 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 81 81 62 71 27 60 76 68 65
normalized size 1 1.00 0.77 0.88 0.33 0.74 0.94 0.84 0.80
time (sec) N/A 0.075 0.051 0.007 0.611 0.648 3.394 0.159 0.205
Problem 15 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 289 289 248 466 0 265 746 400 337
normalized size 1 1.00 0.86 1.61 0.00 0.92 2.58 1.38 1.17
time (sec) N/A 0.321 0.312 0.026 0.000 0.948 9.723 0.327 1.091
Problem 16 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 192 192 138 283 0 163 398 270 204
normalized size 1 1.00 0.72 1.47 0.00 0.85 2.07 1.41 1.06
time (sec) N/A 0.200 0.233 0.013 0.000 0.801 3.935 0.429 0.716
Problem 17 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 118 118 88 111 0 91 178 149 126
normalized size 1 1.00 0.75 0.94 0.00 0.77 1.51 1.26 1.07
time (sec) N/A 0.120 0.102 0.009 0.000 0.450 1.562 0.520 0.450
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 35 32 31 47 53 59 48
normalized size 1 1.00 0.97 0.89 0.86 1.31 1.47 1.64 1.33
time (sec) N/A 0.007 0.051 0.003 0.333 0.443 0.617 0.188 0.221
Problem 19 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 17 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 0.015 1.371 0.095 0.000 0.467 0.000 0.000 0.000
Problem 20 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 52 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 0.041 0.341 0.227 0.000 0.521 0.000 0.000 0.000
Problem 21 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 107 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 0.084 0.576 0.093 0.000 0.459 0.000 0.000 0.000
Problem 22 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 178 178 106 0 0 98 168 0 142
normalized size 1 1.00 0.60 0.00 0.00 0.55 0.94 0.00 0.80
time (sec) N/A 0.294 0.049 0.019 0.000 0.475 5.391 0.000 0.299
Problem 23 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 126 126 90 0 0 81 117 0 101
normalized size 1 1.00 0.71 0.00 0.00 0.64 0.93 0.00 0.80
time (sec) N/A 0.181 0.042 0.013 0.000 0.405 1.974 0.000 0.205
Problem 24 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 71 71 64 0 0 59 65 0 67
normalized size 1 1.00 0.90 0.00 0.00 0.83 0.92 0.00 0.94
time (sec) N/A 0.086 0.050 0.011 0.000 0.449 0.681 0.000 0.167
Problem 25 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 0.017 0.028 0.010 0.000 0.458 0.000 0.000 0.000
Problem 26 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 67 67 63 0 0 65 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.97 0.00 0.00 -0.01
time (sec) N/A 0.100 0.028 0.017 0.000 0.445 0.000 0.000 0.000
Problem 27 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 125 125 97 0 0 94 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.75 0.00 0.00 -0.01
time (sec) N/A 0.183 0.085 0.013 0.000 0.533 0.000 0.000 0.000
Problem 28 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 177 177 133 0 0 114 0 0 -1
normalized size 1 1.00 0.75 0.00 0.00 0.64 0.00 0.00 -0.01
time (sec) N/A 0.292 0.049 0.015 0.000 0.641 0.000 0.000 0.000
Problem 29 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 165 165 106 131 0 111 0 170 131
normalized size 1 1.00 0.64 0.79 0.00 0.67 0.00 1.03 0.79
time (sec) N/A 0.247 0.109 0.008 0.000 0.853 0.000 0.376 0.207
Problem 30 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 113 113 88 95 0 90 0 111 90
normalized size 1 1.00 0.78 0.84 0.00 0.80 0.00 0.98 0.80
time (sec) N/A 0.136 0.074 0.005 0.000 1.106 0.000 0.226 0.172
Problem 31 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 56 56 56 48 62 63 0 48 44
normalized size 1 1.00 1.00 0.86 1.11 1.12 0.00 0.86 0.79
time (sec) N/A 0.050 0.031 0.006 0.577 0.823 0.000 0.301 0.159
Problem 32 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 0.018 0.038 0.012 0.000 0.638 0.000 0.000 0.000
Problem 33 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 0.017 0.047 0.013 0.000 0.649 0.000 0.000 0.000
Problem 34 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 0.017 0.039 0.012 0.000 0.622 0.000 0.000 0.000
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 226 0 0 281 0 0 359
normalized size 1 1.00 0.60 0.00 0.00 0.75 0.00 0.00 0.96
time (sec) N/A 0.422 1.101 0.083 0.000 0.860 0.000 0.000 0.443
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 132 0 0 171 0 0 186
normalized size 1 1.00 0.70 0.00 0.00 0.91 0.00 0.00 0.99
time (sec) N/A 0.176 0.398 0.012 0.000 0.500 0.000 0.000 0.263
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 66 59 0 91 0 0 79
normalized size 1 1.00 0.93 0.83 0.00 1.28 0.00 0.00 1.11
time (sec) N/A 0.180 0.012 0.003 0.000 0.471 0.000 0.000 0.130
Problem 38 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 19 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 -0.05
time (sec) N/A 0.024 0.059 0.073 0.000 0.499 0.000 0.000 0.000
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 19 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 -0.05
time (sec) N/A 0.022 0.115 0.090 0.000 0.519 0.000 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 88 0 0 125 0 85 -1
normalized size 1 1.00 0.86 0.00 0.00 1.23 0.00 0.83 -0.01
time (sec) N/A 0.232 0.353 0.208 0.000 0.649 0.000 0.712 0.000
Problem 41 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 94 94 84 0 0 121 0 83 -1
normalized size 1 1.00 0.89 0.00 0.00 1.29 0.00 0.88 -0.01
time (sec) N/A 0.176 0.298 0.099 0.000 0.549 0.000 0.606 0.000
Problem 42 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 93 93 80 0 0 122 0 79 -1
normalized size 1 1.00 0.86 0.00 0.00 1.31 0.00 0.85 -0.01
time (sec) N/A 0.129 0.263 0.023 0.000 0.476 0.000 0.619 0.000
Problem 43 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 65 65 79 79 58 119 0 67 121
normalized size 1 1.00 1.22 1.22 0.89 1.83 0.00 1.03 1.86
time (sec) N/A 0.046 0.149 0.067 0.540 0.530 0.000 0.524 0.477
Problem 44 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 92 92 80 0 0 126 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 1.37 0.00 0.00 -0.01
time (sec) N/A 0.213 0.288 0.203 0.000 0.498 0.000 0.000 0.000
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-1) A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 77 0 0 124 0 0 -1
normalized size 1 1.00 0.81 0.00 0.00 1.31 0.00 0.00 -0.01
time (sec) N/A 0.215 0.261 0.194 0.000 0.564 0.000 0.000 0.000
Problem 46 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 125 125 127 0 0 180 0 156 -1
normalized size 1 1.00 1.02 0.00 0.00 1.44 0.00 1.25 -0.01
time (sec) N/A 0.313 0.563 0.071 0.000 0.607 0.000 0.743 0.000
Problem 47 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 21 21 21 17 16 16 19 0 16
normalized size 1 1.00 1.00 0.81 0.76 0.76 0.90 0.00 0.76
time (sec) N/A 0.030 0.009 0.007 0.324 0.602 1.744 0.000 0.111
Problem 48 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 21 21 21 17 16 16 19 0 93
normalized size 1 1.00 1.00 0.81 0.76 0.76 0.90 0.00 4.43
time (sec) N/A 0.018 0.005 0.059 0.338 0.486 0.631 0.000 0.424
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F(-2) A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 0 15 15 17 0 15
normalized size 1 1.00 1.00 0.00 0.75 0.75 0.85 0.00 0.75
time (sec) N/A 0.029 0.011 180.000 0.322 0.499 0.407 0.000 0.155
Problem 50 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 21 21 21 17 16 16 17 0 16
normalized size 1 1.00 1.00 0.81 0.76 0.76 0.81 0.00 0.76
time (sec) N/A 0.028 0.006 0.003 0.530 0.573 0.688 0.000 0.135
Problem 51 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 21 21 21 17 16 16 19 0 16
normalized size 1 1.00 1.00 0.81 0.76 0.76 0.90 0.00 0.76
time (sec) N/A 0.029 0.006 0.003 0.480 0.567 1.297 0.000 0.119
Problem 52 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 28 28 28 0 0 24 63 0 23
normalized size 1 1.00 1.00 0.00 0.00 0.86 2.25 0.00 0.82
time (sec) N/A 0.037 0.014 0.027 0.000 0.675 5.603 0.000 0.164
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 138 312 0 260 0 257 244
normalized size 1 1.00 0.48 1.09 0.00 0.91 0.00 0.90 0.86
time (sec) N/A 0.436 0.467 0.096 0.000 0.555 0.000 0.301 0.771
Problem 54 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 155 155 99 168 0 149 0 124 131
normalized size 1 1.00 0.64 1.08 0.00 0.96 0.00 0.80 0.85
time (sec) N/A 0.158 0.304 0.203 0.000 0.443 0.000 0.261 0.526
Problem 55 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 57 57 51 67 47 62 0 48 47
normalized size 1 1.00 0.89 1.18 0.82 1.09 0.00 0.84 0.82
time (sec) N/A 0.039 0.046 0.191 0.337 0.646 0.000 0.250 0.198
Problem 56 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 20 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 -0.05
time (sec) N/A 0.040 0.155 0.054 0.000 0.630 0.000 0.000 0.000
Problem 57 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 101 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 0.154 0.208 0.233 0.000 0.570 0.000 0.000 0.000
Problem 58 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 231 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 -0.00
time (sec) N/A 0.342 0.290 0.259 0.000 0.560 0.000 0.000 0.000
Problem 59 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 186 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 0.244 0.320 0.066 0.000 0.622 0.000 0.000 0.000
Problem 60 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 84 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 0.095 0.228 0.216 0.000 0.533 0.000 0.000 0.000
Problem 61 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 17 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 0.015 0.025 0.073 0.000 0.566 0.000 0.000 0.000
Problem 62 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 62 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 0.117 0.229 0.094 0.000 0.520 0.000 0.000 0.000
Problem 63 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 155 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 0.285 0.341 0.257 0.000 0.513 0.000 0.000 0.000
Problem 64 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 118 118 73 88 82 74 0 118 91
normalized size 1 1.00 0.62 0.75 0.69 0.63 0.00 1.00 0.77
time (sec) N/A 0.142 0.051 0.068 0.454 0.518 0.000 0.227 0.297
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 57 66 59 55 76 71 65
normalized size 1 1.00 0.72 0.84 0.75 0.70 0.96 0.90 0.82
time (sec) N/A 0.080 0.044 0.169 0.344 0.511 131.386 0.270 0.204
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 34 51 34 35 34 31 31
normalized size 1 1.00 0.92 1.38 0.92 0.95 0.92 0.84 0.84
time (sec) N/A 0.031 0.027 0.095 0.325 0.584 14.837 0.278 0.097
Problem 67 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 32 32 32 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.043 0.138 0.046 0.000 0.484 0.000 0.000 0.000
Problem 68 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 71 71 34 0 0 0 0 0 -1
normalized size 1 1.00 0.48 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 0.127 0.205 0.000 0.515 0.000 0.000 0.000
Problem 69 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 115 115 36 0 0 0 0 0 -1
normalized size 1 1.00 0.31 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.135 0.157 0.227 0.000 0.711 0.000 0.000 0.000
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 119 119 100 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.331 0.065 0.000 0.487 0.000 0.000 0.000
Problem 71 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 76 76 80 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 0.224 0.162 0.000 0.605 0.000 0.000 0.000
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 29 29 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.018 0.029 0.066 0.000 0.670 0.000 0.000 0.000
Problem 73 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 66 66 74 0 0 0 0 0 -1
normalized size 1 1.00 1.12 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.064 0.234 0.081 0.000 0.504 0.000 0.000 0.000
Problem 74 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 115 115 100 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 0.108 0.380 0.228 0.000 0.510 0.000 0.000 0.000
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 86 119 0 97 0 153 192
normalized size 1 1.00 0.64 0.88 0.00 0.72 0.00 1.13 1.42
time (sec) N/A 0.195 0.078 0.084 0.000 0.568 0.000 0.373 0.453
Problem 76 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 90 90 68 83 0 76 0 94 106
normalized size 1 1.00 0.76 0.92 0.00 0.84 0.00 1.04 1.18
time (sec) N/A 0.101 0.059 0.191 0.000 0.546 0.000 0.303 0.451
Problem 77 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 43 43 39 39 34 43 0 35 43
normalized size 1 1.00 0.91 0.91 0.79 1.00 0.00 0.81 1.00
time (sec) N/A 0.032 0.018 0.066 0.449 0.485 0.000 0.259 0.177
Problem 78 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 21 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 -0.05
time (sec) N/A 0.035 0.093 0.053 0.000 0.631 0.000 0.000 0.000
Problem 79 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 88 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 0.098 0.143 0.230 0.000 0.534 0.000 0.000 0.000
Problem 80 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 161 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 0.191 0.171 0.241 0.000 0.514 0.000 0.000 0.000
Problem 81 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 112 112 85 0 0 74 109 0 90
normalized size 1 1.00 0.76 0.00 0.00 0.66 0.97 0.00 0.80
time (sec) N/A 0.146 0.042 0.187 0.000 0.408 37.091 0.000 0.749
Problem 82 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 63 63 56 0 0 52 60 0 80
normalized size 1 1.00 0.89 0.00 0.00 0.83 0.95 0.00 1.27
time (sec) N/A 0.068 0.046 0.179 0.000 0.389 6.301 0.000 0.302
Problem 83 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 18 18 18 15 14 14 15 0 41
normalized size 1 1.00 1.00 0.83 0.78 0.78 0.83 0.00 2.28
time (sec) N/A 0.017 0.004 0.036 0.313 0.392 0.993 0.000 0.197
Problem 84 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 52 52 52 0 0 53 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.02 0.00 0.00 -0.02
time (sec) N/A 0.071 0.017 0.200 0.000 0.437 0.000 0.000 0.000
Problem 85 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 108 108 85 0 0 84 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.78 0.00 0.00 -0.01
time (sec) N/A 0.148 0.073 0.242 0.000 0.488 0.000 0.000 0.000
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 240 0 0 267 0 271 386
normalized size 1 1.00 0.70 0.00 0.00 0.78 0.00 0.79 1.13
time (sec) N/A 0.515 5.446 0.254 0.000 0.675 0.000 0.273 1.162
Problem 87 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 86 86 82 134 84 100 0 87 89
normalized size 1 1.00 0.95 1.56 0.98 1.16 0.00 1.01 1.03
time (sec) N/A 0.057 0.114 0.214 0.331 0.480 0.000 0.475 0.181
Problem 88 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 22 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 -0.05
time (sec) N/A 0.037 0.239 0.047 0.000 0.599 0.000 0.000 0.000
Problem 89 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 185 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 0.417 0.424 0.275 0.000 0.734 0.000 0.000 0.000
Problem 90 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 527 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 -0.00
time (sec) N/A 0.969 0.565 0.091 0.000 0.564 0.000 0.000 0.000
Problem 91 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 164 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 0.190 0.465 0.187 0.000 0.424 0.000 0.000 0.000
Problem 92 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 19 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 -0.05
time (sec) N/A 0.015 0.051 0.069 0.000 0.406 0.000 0.000 0.000
Problem 93 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 83 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 0.215 0.462 0.109 0.000 0.469 0.000 0.000 0.000
Problem 94 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 355 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 -0.00
time (sec) N/A 0.912 0.630 0.288 0.000 0.456 0.000 0.000 0.000
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 62 67 0 66 0 0 52
normalized size 1 1.00 1.00 1.08 0.00 1.06 0.00 0.00 0.84
time (sec) N/A 0.145 0.133 0.239 0.000 0.494 0.000 0.000 0.217
Problem 96 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 66 66 69 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.063 0.096 0.122 0.000 0.619 0.000 0.000 0.000
Problem 97 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 66 66 67 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.058 0.091 0.053 0.000 0.634 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 62 62 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.056 0.770 0.075 0.000 0.555 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 62 62 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.055 0.768 0.052 0.000 0.411 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 F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 57 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.056 0.061 0.033 0.000 0.548 0.000 0.000 0.000
Problem 101 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 56 56 61 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.056 0.069 0.034 0.000 1.028 0.000 0.000 0.000
Problem 102 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 56 56 93 0 0 0 0 0 -1
normalized size 1 1.00 1.66 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.053 0.300 0.045 0.000 0.525 0.000 0.000 0.000
Problem 103 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 56 56 91 0 0 0 0 0 -1
normalized size 1 1.00 1.62 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.052 0.108 0.052 0.000 0.394 0.000 0.000 0.000
Problem 104 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 96 96 62 83 63 71 92 69 78
normalized size 1 1.00 0.65 0.86 0.66 0.74 0.96 0.72 0.81
time (sec) N/A 0.090 0.078 0.008 0.401 0.403 2.903 0.646 0.267
Problem 105 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 71 71 54 65 55 63 68 61 58
normalized size 1 1.00 0.76 0.92 0.77 0.89 0.96 0.86 0.82
time (sec) N/A 0.064 0.064 0.004 0.579 0.471 1.036 0.379 0.145
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 43 46 44 50 42 49 38
normalized size 1 1.00 0.93 1.00 0.96 1.09 0.91 1.07 0.83
time (sec) N/A 0.035 0.057 0.004 0.309 0.403 0.367 0.491 0.116
Problem 107 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 35 35 45 0 0 0 0 0 -1
normalized size 1 1.00 1.29 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.023 0.035 0.030 0.000 0.484 0.000 0.000 0.000
Problem 108 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 40 40 40 51 35 43 34 0 38
normalized size 1 1.00 1.00 1.28 0.88 1.08 0.85 0.00 0.95
time (sec) N/A 0.038 0.048 0.006 0.654 0.585 0.473 0.000 0.130
Problem 109 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 71 71 53 69 35 58 60 0 71
normalized size 1 1.00 0.75 0.97 0.49 0.82 0.85 0.00 1.00
time (sec) N/A 0.059 0.043 0.005 1.310 0.500 1.144 0.000 0.191
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 62 87 35 66 87 0 -1
normalized size 1 1.00 0.65 0.91 0.36 0.69 0.91 0.00 -0.01
time (sec) N/A 0.083 0.063 0.008 0.613 0.472 2.849 0.000 0.000
Problem 111 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 109 109 73 90 52 68 102 57 90
normalized size 1 1.00 0.67 0.83 0.48 0.62 0.94 0.52 0.83
time (sec) N/A 0.094 0.024 0.004 0.328 0.554 4.627 0.545 0.286
Problem 112 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 84 84 66 72 44 60 78 49 70
normalized size 1 1.00 0.79 0.86 0.52 0.71 0.93 0.58 0.83
time (sec) N/A 0.070 0.025 0.005 0.617 0.559 1.744 0.351 0.230
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 42 54 36 52 54 41 50
normalized size 1 1.00 0.71 0.92 0.61 0.88 0.92 0.69 0.85
time (sec) N/A 0.049 0.032 0.005 0.331 0.396 0.549 0.422 0.147
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 27 26 35 24 26 24
normalized size 1 1.00 1.00 1.00 0.96 1.30 0.89 0.96 0.89
time (sec) N/A 0.005 0.003 0.006 1.147 0.450 0.272 0.553 0.104
Problem 115 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 27 27 27 29 25 32 20 0 25
normalized size 1 1.00 1.00 1.07 0.93 1.19 0.74 0.00 0.93
time (sec) N/A 0.031 0.014 0.004 3.003 0.473 0.975 0.000 0.154
Problem 116 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 56 56 49 53 27 51 48 0 46
normalized size 1 1.00 0.88 0.95 0.48 0.91 0.86 0.00 0.82
time (sec) N/A 0.054 0.043 0.003 1.955 0.567 1.750 0.000 0.182
Problem 117 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 81 81 73 71 27 62 70 0 66
normalized size 1 1.00 0.90 0.88 0.33 0.77 0.86 0.00 0.81
time (sec) N/A 0.074 0.023 0.005 3.054 0.497 2.983 0.000 0.188
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 268 729 0 314 746 435 352
normalized size 1 1.00 0.92 2.50 0.00 1.08 2.55 1.49 1.21
time (sec) N/A 0.272 0.390 0.004 0.000 0.729 9.141 1.163 0.391
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 159 428 0 197 398 280 220
normalized size 1 1.00 0.82 2.21 0.00 1.02 2.05 1.44 1.13
time (sec) N/A 0.181 0.313 0.007 0.000 0.400 3.778 1.880 0.306
Problem 120 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 119 119 104 122 0 110 178 158 119
normalized size 1 1.00 0.87 1.03 0.00 0.92 1.50 1.33 1.00
time (sec) N/A 0.118 0.147 0.004 0.000 0.530 1.451 1.298 0.222
Problem 121 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 37 37 42 33 32 53 53 60 49
normalized size 1 1.00 1.14 0.89 0.86 1.43 1.43 1.62 1.32
time (sec) N/A 0.007 0.046 0.003 1.129 0.581 0.606 0.402 0.114
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 17 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 0.015 0.136 0.088 0.000 0.455 0.000 0.000 0.000
Problem 123 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 52 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 0.039 0.544 0.090 0.000 0.554 0.000 0.000 0.000
Problem 124 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 105 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 0.079 1.205 0.097 0.000 0.795 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 178 178 173 0 0 149 172 0 143
normalized size 1 1.00 0.97 0.00 0.00 0.84 0.97 0.00 0.80
time (sec) N/A 0.276 0.466 0.022 0.000 0.424 5.088 0.000 0.324
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 126 126 149 0 0 124 121 0 102
normalized size 1 1.00 1.18 0.00 0.00 0.98 0.96 0.00 0.81
time (sec) N/A 0.171 0.433 0.021 0.000 0.438 1.864 0.000 0.239
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 99 0 0 91 68 0 68
normalized size 1 1.00 1.38 0.00 0.00 1.26 0.94 0.00 0.94
time (sec) N/A 0.081 0.163 0.018 0.000 0.491 0.650 0.000 0.197
Problem 128 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 0.016 0.167 0.021 0.000 0.434 0.000 0.000 0.000
Problem 129 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 67 67 63 0 0 98 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 1.46 0.00 0.00 -0.01
time (sec) N/A 0.095 0.043 0.019 0.000 0.415 0.000 0.000 0.000
Problem 130 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 125 125 97 0 0 141 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 1.13 0.00 0.00 -0.01
time (sec) N/A 0.178 0.067 0.019 0.000 0.492 0.000 0.000 0.000
Problem 131 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 177 177 133 0 0 168 0 0 -1
normalized size 1 1.00 0.75 0.00 0.00 0.95 0.00 0.00 -0.01
time (sec) N/A 0.282 0.039 0.018 0.000 0.535 0.000 0.000 0.000
Problem 132 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 165 165 108 205 0 154 0 218 -1
normalized size 1 1.00 0.65 1.24 0.00 0.93 0.00 1.32 -0.01
time (sec) N/A 0.231 0.159 0.010 0.000 0.397 0.000 0.858 0.000
Problem 133 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 113 113 88 151 0 123 0 151 -1
normalized size 1 1.00 0.78 1.34 0.00 1.09 0.00 1.34 -0.01
time (sec) N/A 0.126 0.104 0.007 0.000 0.391 0.000 0.694 0.000
Problem 134 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 56 56 56 48 0 85 0 73 -1
normalized size 1 1.00 1.00 0.86 0.00 1.52 0.00 1.30 -0.02
time (sec) N/A 0.046 0.054 0.007 0.000 0.479 0.000 0.682 0.000
Problem 135 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 0.017 0.177 0.019 0.000 0.394 0.000 0.000 0.000
Problem 136 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 0.017 0.129 0.022 0.000 0.411 0.000 0.000 0.000
Problem 137 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 0.017 0.182 0.021 0.000 0.522 0.000 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 375 375 610 0 0 472 0 0 -1
normalized size 1 1.00 1.63 0.00 0.00 1.26 0.00 0.00 -0.00
time (sec) N/A 0.375 4.476 0.086 0.000 0.529 0.000 0.000 0.000
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 189 189 301 0 0 273 0 0 -1
normalized size 1 1.00 1.59 0.00 0.00 1.44 0.00 0.00 -0.01
time (sec) N/A 0.189 1.359 0.024 0.000 0.423 0.000 0.000 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 66 59 0 141 0 0 -1
normalized size 1 1.00 0.93 0.83 0.00 1.99 0.00 0.00 -0.01
time (sec) N/A 0.156 0.014 0.003 0.000 0.451 0.000 0.000 0.000
Problem 141 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 19 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 -0.05
time (sec) N/A 0.023 0.507 0.080 0.000 0.512 0.000 0.000 0.000
Problem 142 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 19 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 -0.05
time (sec) N/A 0.023 0.500 0.087 0.000 0.403 0.000 0.000 0.000
Problem 143 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 102 102 87 0 0 130 0 90 -1
normalized size 1 1.00 0.85 0.00 0.00 1.27 0.00 0.88 -0.01
time (sec) N/A 0.215 0.337 0.158 0.000 0.542 0.000 1.486 0.000
Problem 144 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 94 94 80 0 0 126 0 88 -1
normalized size 1 1.00 0.85 0.00 0.00 1.34 0.00 0.94 -0.01
time (sec) N/A 0.166 0.296 0.141 0.000 0.429 0.000 1.161 0.000
Problem 145 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 92 92 77 0 0 123 0 82 -1
normalized size 1 1.00 0.84 0.00 0.00 1.34 0.00 0.89 -0.01
time (sec) N/A 0.101 0.284 0.149 0.000 0.548 0.000 0.793 0.000
Problem 146 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 66 66 93 80 59 128 0 83 100
normalized size 1 1.00 1.41 1.21 0.89 1.94 0.00 1.26 1.52
time (sec) N/A 0.043 0.134 0.059 0.323 0.485 0.000 0.224 0.447
Problem 147 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 93 93 81 0 0 128 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 1.38 0.00 0.00 -0.01
time (sec) N/A 0.185 0.273 0.211 0.000 0.505 0.000 0.000 0.000
Problem 148 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 95 95 79 0 0 125 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 1.32 0.00 0.00 -0.01
time (sec) N/A 0.189 0.263 0.222 0.000 0.433 0.000 0.000 0.000
Problem 149 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 126 126 126 0 0 194 0 169 -1
normalized size 1 1.00 1.00 0.00 0.00 1.54 0.00 1.34 -0.01
time (sec) N/A 0.254 0.526 0.095 0.000 0.425 0.000 0.803 0.000
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 43 0 31 24 0 16
normalized size 1 1.00 1.00 2.05 0.00 1.48 1.14 0.00 0.76
time (sec) N/A 0.027 0.012 0.193 0.000 0.509 1.656 0.000 0.153
Problem 151 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 21 21 21 30 0 23 24 0 16
normalized size 1 1.00 1.00 1.43 0.00 1.10 1.14 0.00 0.76
time (sec) N/A 0.018 0.006 0.062 0.000 0.515 0.625 0.000 0.148
Problem 152 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 20 20 20 0 0 17 24 0 15
normalized size 1 1.00 1.00 0.00 0.00 0.85 1.20 0.00 0.75
time (sec) N/A 0.028 0.017 0.026 0.000 0.420 0.441 0.000 0.183
Problem 153 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 21 21 21 0 0 19 20 0 16
normalized size 1 1.00 1.00 0.00 0.00 0.90 0.95 0.00 0.76
time (sec) N/A 0.028 0.010 0.116 0.000 0.393 0.978 0.000 0.164
Problem 154 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 21 21 21 0 0 26 22 0 16
normalized size 1 1.00 1.00 0.00 0.00 1.24 1.05 0.00 0.76
time (sec) N/A 0.029 0.009 0.359 0.000 1.410 2.060 0.000 0.092
Problem 155 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 28 28 28 0 0 30 60 0 23
normalized size 1 1.00 1.00 0.00 0.00 1.07 2.14 0.00 0.82
time (sec) N/A 0.033 0.012 0.096 0.000 0.512 5.130 0.000 0.201
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 138 376 0 356 0 0 -1
normalized size 1 1.00 0.49 1.33 0.00 1.26 0.00 0.00 -0.00
time (sec) N/A 0.368 0.448 0.082 0.000 0.439 0.000 0.000 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 99 206 0 190 0 0 -1
normalized size 1 1.00 0.64 1.33 0.00 1.23 0.00 0.00 -0.01
time (sec) N/A 0.157 0.343 0.217 0.000 0.511 0.000 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 50 92 0 70 0 0 -1
normalized size 1 1.00 0.88 1.61 0.00 1.23 0.00 0.00 -0.02
time (sec) N/A 0.039 0.058 0.211 0.000 0.463 0.000 0.000 0.000
Problem 159 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 20 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 -0.05
time (sec) N/A 0.037 0.623 0.093 0.000 0.495 0.000 0.000 0.000
Problem 160 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 99 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 0.147 0.784 0.273 0.000 0.521 0.000 0.000 0.000
Problem 161 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 231 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 -0.00
time (sec) N/A 0.325 0.814 0.290 0.000 0.415 0.000 0.000 0.000
Problem 162 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 186 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 0.233 0.953 0.095 0.000 0.424 0.000 0.000 0.000
Problem 163 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 84 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 0.094 0.834 0.192 0.000 0.565 0.000 0.000 0.000
Problem 164 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 17 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 0.015 0.035 0.069 0.000 0.513 0.000 0.000 0.000
Problem 165 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 63 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 0.114 0.860 0.114 0.000 0.423 0.000 0.000 0.000
Problem 166 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 155 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 0.268 1.016 0.292 0.000 0.480 0.000 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 73 135 0 97 0 0 94
normalized size 1 1.00 0.62 1.14 0.00 0.82 0.00 0.00 0.80
time (sec) N/A 0.147 0.045 0.066 0.000 0.471 0.000 0.000 0.311
Problem 168 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 80 80 58 99 0 68 83 0 63
normalized size 1 1.00 0.72 1.24 0.00 0.85 1.04 0.00 0.79
time (sec) N/A 0.089 0.034 0.181 0.000 0.409 120.005 0.000 0.163
Problem 169 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 36 36 36 51 0 38 41 0 30
normalized size 1 1.00 1.00 1.42 0.00 1.06 1.14 0.00 0.83
time (sec) N/A 0.035 0.021 0.092 0.000 0.965 13.389 0.000 0.175
Problem 170 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 48 48 45 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.120 0.188 0.058 0.000 0.432 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 88 88 65 0 0 0 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.166 0.224 0.229 0.000 0.397 0.000 0.000 0.000
Problem 172 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 134 134 83 0 0 0 0 0 -1
normalized size 1 1.00 0.62 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.258 0.253 0.000 0.421 0.000 0.000 0.000
Problem 173 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 138 138 147 0 0 0 0 0 -1
normalized size 1 1.00 1.07 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.138 0.296 0.079 0.000 0.556 0.000 0.000 0.000
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 95 95 104 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.339 0.181 0.000 0.433 0.000 0.000 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 50 50 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.035 0.111 0.063 0.000 0.582 0.000 0.000 0.000
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 80 80 99 0 0 0 0 0 -1
normalized size 1 1.00 1.24 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 0.309 0.094 0.000 0.410 0.000 0.000 0.000
Problem 177 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 134 134 151 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 0.129 0.239 0.244 0.000 0.416 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 87 172 0 121 0 0 -1
normalized size 1 1.00 0.64 1.27 0.00 0.90 0.00 0.00 -0.01
time (sec) N/A 0.194 0.167 0.087 0.000 0.418 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 69 118 0 90 0 0 -1
normalized size 1 1.00 0.77 1.31 0.00 1.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.094 0.223 0.000 0.483 0.000 0.000 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 39 53 0 47 0 0 -1
normalized size 1 1.00 0.91 1.23 0.00 1.09 0.00 0.00 -0.02
time (sec) N/A 0.031 0.023 0.083 0.000 0.409 0.000 0.000 0.000
Problem 181 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 21 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 -0.05
time (sec) N/A 0.032 0.168 0.076 0.000 0.416 0.000 0.000 0.000
Problem 182 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 86 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 0.094 0.301 0.260 0.000 0.432 0.000 0.000 0.000
Problem 183 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 162 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 0.182 0.285 0.279 0.000 0.408 0.000 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 112 112 112 0 0 97 112 0 90
normalized size 1 1.00 1.00 0.00 0.00 0.87 1.00 0.00 0.80
time (sec) N/A 0.166 0.181 0.218 0.000 0.453 34.167 0.000 0.202
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 63 63 79 0 0 66 63 0 49
normalized size 1 1.00 1.25 0.00 0.00 1.05 1.00 0.00 0.78
time (sec) N/A 0.080 0.150 0.198 0.000 0.437 5.777 0.000 0.191
Problem 186 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 18 18 18 22 14 21 17 0 14
normalized size 1 1.00 1.00 1.22 0.78 1.17 0.94 0.00 0.78
time (sec) N/A 0.018 0.009 0.037 0.299 0.456 0.919 0.000 0.072
Problem 187 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 53 53 53 0 0 77 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.45 0.00 0.00 -0.02
time (sec) N/A 0.086 0.022 0.232 0.000 0.420 0.000 0.000 0.000
Problem 188 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 108 108 85 0 0 122 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 1.13 0.00 0.00 -0.01
time (sec) N/A 0.157 0.067 0.284 0.000 0.415 0.000 0.000 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 342 342 256 0 0 328 0 0 -1
normalized size 1 1.00 0.75 0.00 0.00 0.96 0.00 0.00 -0.00
time (sec) N/A 0.470 2.617 0.274 0.000 0.488 0.000 0.000 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 81 175 0 108 0 0 -1
normalized size 1 1.00 0.94 2.03 0.00 1.26 0.00 0.00 -0.01
time (sec) N/A 0.054 0.118 0.247 0.000 0.510 0.000 0.000 0.000
Problem 191 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 22 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 -0.05
time (sec) N/A 0.038 0.772 0.061 0.000 0.642 0.000 0.000 0.000
Problem 192 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 183 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 0.411 1.031 0.387 0.000 0.504 0.000 0.000 0.000
Problem 193 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 527 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 -0.00
time (sec) N/A 0.907 1.195 0.111 0.000 0.500 0.000 0.000 0.000
Problem 194 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 164 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 0.182 1.004 0.223 0.000 0.499 0.000 0.000 0.000
Problem 195 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 19 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 -0.05
time (sec) N/A 0.014 0.044 0.096 0.000 0.447 0.000 0.000 0.000
Problem 196 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 83 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 0.205 1.088 0.138 0.000 0.423 0.000 0.000 0.000
Problem 197 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 355 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 -0.00
time (sec) N/A 0.869 1.299 0.339 0.000 0.407 0.000 0.000 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 84 0 71 0 0 -1
normalized size 1 1.00 1.00 1.40 0.00 1.18 0.00 0.00 -0.02
time (sec) N/A 0.135 0.096 0.276 0.000 0.425 0.000 0.000 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 91 91 94 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.077 0.668 0.231 0.000 0.529 0.000 0.000 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 91 91 101 0 0 0 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.075 0.546 0.189 0.000 0.503 0.000 0.000 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 85 85 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.073 1.741 0.382 0.000 0.637 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 85 85 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 1.663 0.319 0.000 0.426 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 83 0 0 0 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.070 0.202 0.164 0.000 0.420 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 77 77 84 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.071 0.179 0.141 0.000 0.532 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 114 0 0 0 0 0 -1
normalized size 1 1.00 1.52 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.072 0.134 0.301 0.000 0.478 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 77 77 117 0 0 0 0 0 -1
normalized size 1 1.00 1.52 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.071 0.132 0.283 0.000 0.496 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 64 77 63 62 88 0 108
normalized size 1 1.00 0.69 0.83 0.68 0.67 0.95 0.00 1.16
time (sec) N/A 0.082 0.039 0.007 0.325 0.417 2.650 0.000 0.122
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 51 61 55 53 65 0 89
normalized size 1 1.00 0.74 0.88 0.80 0.77 0.94 0.00 1.29
time (sec) N/A 0.058 0.037 0.004 0.313 0.472 0.798 0.000 0.088
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 39 45 44 41 39 0 43
normalized size 1 1.00 0.87 1.00 0.98 0.91 0.87 0.00 0.96
time (sec) N/A 0.033 0.036 0.005 0.327 1.181 0.187 0.000 0.188
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 22 0 0 0 0 -1
normalized size 1 1.00 1.00 0.71 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.013 0.024 0.025 0.000 0.410 0.000 0.000 0.000
Problem 211 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 40 40 37 47 39 40 34 0 69
normalized size 1 1.00 0.92 1.18 0.98 1.00 0.85 0.00 1.72
time (sec) N/A 0.036 0.029 0.006 0.371 0.497 0.431 0.000 0.115
Problem 212 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 69 69 51 65 39 52 60 0 89
normalized size 1 1.00 0.74 0.94 0.57 0.75 0.87 0.00 1.29
time (sec) N/A 0.055 0.041 0.005 0.376 0.546 1.101 0.000 0.080
Problem 213 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 93 93 64 81 39 61 87 0 108
normalized size 1 1.00 0.69 0.87 0.42 0.66 0.94 0.00 1.16
time (sec) N/A 0.079 0.027 0.006 0.357 0.397 2.815 0.000 0.121
Problem 214 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 105 105 57 82 51 59 99 0 51
normalized size 1 1.00 0.54 0.78 0.49 0.56 0.94 0.00 0.49
time (sec) N/A 0.086 0.049 0.005 0.318 0.439 4.459 0.000 0.134
Problem 215 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 81 81 49 64 43 51 75 0 43
normalized size 1 1.00 0.60 0.79 0.53 0.63 0.93 0.00 0.53
time (sec) N/A 0.065 0.029 0.006 0.317 0.532 1.449 0.000 0.105
Problem 216 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 57 57 41 50 35 43 49 0 35
normalized size 1 1.00 0.72 0.88 0.61 0.75 0.86 0.00 0.61
time (sec) N/A 0.044 0.036 0.005 0.319 0.394 0.391 0.000 0.153
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 26 25 29 22 0 23
normalized size 1 1.00 1.00 1.00 0.96 1.12 0.85 0.00 0.88
time (sec) N/A 0.005 0.007 0.003 0.324 0.392 0.127 0.000 0.052
Problem 218 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 25 25 25 31 23 29 32 0 23
normalized size 1 1.00 1.00 1.24 0.92 1.16 1.28 0.00 0.92
time (sec) N/A 0.029 0.020 0.005 0.352 0.447 0.978 0.000 0.181
Problem 219 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 54 54 50 52 28 48 63 0 43
normalized size 1 1.00 0.93 0.96 0.52 0.89 1.17 0.00 0.80
time (sec) N/A 0.050 0.023 0.006 0.379 0.439 1.672 0.000 0.219
Problem 220 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 78 78 61 68 28 58 85 0 62
normalized size 1 1.00 0.78 0.87 0.36 0.74 1.09 0.00 0.79
time (sec) N/A 0.070 0.032 0.003 0.358 1.264 2.915 0.000 0.220
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 237 703 0 263 746 0 357
normalized size 1 1.00 0.85 2.52 0.00 0.94 2.67 0.00 1.28
time (sec) N/A 0.250 0.334 0.012 0.000 0.482 8.007 0.000 0.644
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 142 414 0 161 398 0 190
normalized size 1 1.00 0.76 2.23 0.00 0.87 2.14 0.00 1.02
time (sec) N/A 0.165 0.207 0.009 0.000 0.459 3.086 0.000 0.365
Problem 223 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 115 115 78 117 0 89 178 0 106
normalized size 1 1.00 0.68 1.02 0.00 0.77 1.55 0.00 0.92
time (sec) N/A 0.105 0.091 0.004 0.000 0.422 1.072 0.000 0.331
Problem 224 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 35 35 33 31 30 45 51 0 46
normalized size 1 1.00 0.94 0.89 0.86 1.29 1.46 0.00 1.31
time (sec) N/A 0.006 0.047 0.003 0.310 0.410 0.318 0.000 0.136
Problem 225 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 17 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 0.014 1.265 0.085 0.000 0.429 0.000 0.000 0.000
Problem 226 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 50 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 0.036 0.357 0.101 0.000 0.492 0.000 0.000 0.000
Problem 227 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 102 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 0.074 0.642 0.089 0.000 0.434 0.000 0.000 0.000
Problem 228 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 175 175 99 0 0 97 168 0 139
normalized size 1 1.00 0.57 0.00 0.00 0.55 0.96 0.00 0.79
time (sec) N/A 0.256 0.049 0.007 0.000 0.423 4.655 0.000 0.303
Problem 229 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 124 124 82 0 0 79 116 0 100
normalized size 1 1.00 0.66 0.00 0.00 0.64 0.94 0.00 0.81
time (sec) N/A 0.159 0.032 0.008 0.000 0.437 1.583 0.000 0.219
Problem 230 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 71 71 63 0 0 58 63 0 66
normalized size 1 1.00 0.89 0.00 0.00 0.82 0.89 0.00 0.93
time (sec) N/A 0.077 0.021 0.010 0.000 0.435 0.400 0.000 0.184
Problem 231 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 0.016 0.034 0.007 0.000 0.522 0.000 0.000 0.000
Problem 232 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 65 65 60 0 0 64 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.98 0.00 0.00 -0.02
time (sec) N/A 0.090 0.032 0.009 0.000 0.491 0.000 0.000 0.000
Problem 233 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 123 123 97 0 0 93 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.76 0.00 0.00 -0.01
time (sec) N/A 0.165 0.036 0.007 0.000 0.423 0.000 0.000 0.000
Problem 234 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 174 174 114 0 0 113 0 0 -1
normalized size 1 1.00 0.66 0.00 0.00 0.65 0.00 0.00 -0.01
time (sec) N/A 0.279 0.043 0.006 0.000 0.527 0.000 0.000 0.000
Problem 235 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 162 162 105 0 0 110 0 0 -1
normalized size 1 1.00 0.65 0.00 0.00 0.68 0.00 0.00 -0.01
time (sec) N/A 0.225 0.051 0.009 0.000 0.606 0.000 0.000 0.000
Problem 236 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 111 111 87 0 0 91 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.82 0.00 0.00 -0.01
time (sec) N/A 0.120 0.032 0.007 0.000 0.426 0.000 0.000 0.000
Problem 237 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 54 54 54 0 0 61 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.13 0.00 0.00 -0.02
time (sec) N/A 0.045 0.021 0.004 0.000 0.445 0.000 0.000 0.000
Problem 238 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 0.018 0.038 0.005 0.000 0.503 0.000 0.000 0.000
Problem 239 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 0.017 0.039 0.007 0.000 0.391 0.000 0.000 0.000
Problem 240 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 0.017 0.040 0.007 0.000 0.576 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 366 366 0 0 0 278 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.76 0.00 0.00 -0.00
time (sec) N/A 0.361 0.861 0.088 0.000 0.610 0.000 0.000 0.000
Problem 242 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 184 184 128 0 0 167 0 0 -1
normalized size 1 1.00 0.70 0.00 0.00 0.91 0.00 0.00 -0.01
time (sec) N/A 0.182 0.182 0.007 0.000 0.421 0.000 0.000 0.000
Problem 243 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 68 68 64 0 0 90 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 1.32 0.00 0.00 -0.01
time (sec) N/A 0.135 0.057 0.006 0.000 0.428 0.000 0.000 0.000
Problem 244 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 19 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 -0.05
time (sec) N/A 0.023 0.064 0.094 0.000 0.405 0.000 0.000 0.000
Problem 245 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 19 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 -0.05
time (sec) N/A 0.021 0.116 0.087 0.000 0.464 0.000 0.000 0.000
Problem 246 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 102 102 90 0 0 125 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 1.23 0.00 0.00 -0.01
time (sec) N/A 0.220 0.363 0.120 0.000 0.578 0.000 0.000 0.000
Problem 247 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 93 93 81 0 0 121 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 1.30 0.00 0.00 -0.01
time (sec) N/A 0.166 0.359 0.095 0.000 0.541 0.000 0.000 0.000
Problem 248 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 91 91 78 0 0 122 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 1.34 0.00 0.00 -0.01
time (sec) N/A 0.133 0.359 0.019 0.000 0.585 0.000 0.000 0.000
Problem 249 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 64 64 83 78 58 117 0 0 112
normalized size 1 1.00 1.30 1.22 0.91 1.83 0.00 0.00 1.75
time (sec) N/A 0.038 0.129 0.065 0.319 0.717 0.000 0.000 0.452
Problem 250 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 94 94 82 0 0 126 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 1.34 0.00 0.00 -0.01
time (sec) N/A 0.217 0.311 0.207 0.000 0.558 0.000 0.000 0.000
Problem 251 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 95 95 80 0 0 124 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 1.31 0.00 0.00 -0.01
time (sec) N/A 0.205 0.299 0.211 0.000 0.589 0.000 0.000 0.000
Problem 252 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 126 126 126 0 0 180 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.43 0.00 0.00 -0.01
time (sec) N/A 0.322 0.536 0.057 0.000 0.532 0.000 0.000 0.000
Problem 253 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 21 21 21 0 0 16 19 0 16
normalized size 1 1.00 1.00 0.00 0.00 0.76 0.90 0.00 0.76
time (sec) N/A 0.027 0.007 0.009 0.000 0.450 1.589 0.000 0.097
Problem 254 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 21 21 21 0 0 16 19 0 91
normalized size 1 1.00 1.00 0.00 0.00 0.76 0.90 0.00 4.33
time (sec) N/A 0.018 0.006 0.059 0.000 0.418 0.520 0.000 0.447
Problem 255 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 20 20 20 0 0 15 24 0 15
normalized size 1 1.00 1.00 0.00 0.00 0.75 1.20 0.00 0.75
time (sec) N/A 0.029 0.012 0.020 0.000 0.470 0.342 0.000 0.171
Problem 256 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 21 21 21 0 0 16 24 0 16
normalized size 1 1.00 1.00 0.00 0.00 0.76 1.14 0.00 0.76
time (sec) N/A 0.026 0.007 0.005 0.000 0.558 0.973 0.000 0.096
Problem 257 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 21 21 21 0 0 16 26 0 16
normalized size 1 1.00 1.00 0.00 0.00 0.76 1.24 0.00 0.76
time (sec) N/A 0.027 0.006 0.007 0.000 0.576 2.067 0.000 0.145
Problem 258 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 28 28 28 0 0 24 63 0 23
normalized size 1 1.00 1.00 0.00 0.00 0.86 2.25 0.00 0.82
time (sec) N/A 0.032 0.017 0.007 0.000 0.593 5.019 0.000 0.186
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 131 0 0 255 0 0 232
normalized size 1 1.00 0.51 0.00 0.00 0.99 0.00 0.00 0.90
time (sec) N/A 0.409 0.342 0.065 0.000 0.568 0.000 0.000 0.769
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 91 0 0 151 0 0 128
normalized size 1 1.00 0.64 0.00 0.00 1.06 0.00 0.00 0.90
time (sec) N/A 0.152 0.220 0.221 0.000 0.409 0.000 0.000 0.593
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 47 0 0 61 0 0 51
normalized size 1 1.00 0.89 0.00 0.00 1.15 0.00 0.00 0.96
time (sec) N/A 0.039 0.026 0.206 0.000 0.448 0.000 0.000 0.174
Problem 262 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 20 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 -0.05
time (sec) N/A 0.039 0.150 0.036 0.000 0.408 0.000 0.000 0.000
Problem 263 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 93 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 0.148 0.249 0.240 0.000 0.419 0.000 0.000 0.000
Problem 264 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 212 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 -0.00
time (sec) N/A 0.320 0.303 0.264 0.000 0.416 0.000 0.000 0.000
Problem 265 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 171 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 0.234 0.282 0.060 0.000 0.418 0.000 0.000 0.000
Problem 266 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 79 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 0.095 0.216 0.179 0.000 0.822 0.000 0.000 0.000
Problem 267 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 17 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 0.015 0.037 0.062 0.000 0.516 0.000 0.000 0.000
Problem 268 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 59 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 0.114 0.208 0.080 0.000 0.509 0.000 0.000 0.000
Problem 269 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 144 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 0.273 0.321 0.248 0.000 0.595 0.000 0.000 0.000
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 68 103 0 79 0 0 82
normalized size 1 1.00 0.64 0.96 0.00 0.74 0.00 0.00 0.77
time (sec) N/A 0.115 0.052 0.280 0.000 0.564 0.000 0.000 0.248
Problem 271 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 71 71 51 72 0 59 63 0 56
normalized size 1 1.00 0.72 1.01 0.00 0.83 0.89 0.00 0.79
time (sec) N/A 0.069 0.034 0.087 0.000 0.614 154.660 0.000 0.182
Problem 272 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 32 32 32 41 0 40 27 0 27
normalized size 1 1.00 1.00 1.28 0.00 1.25 0.84 0.00 0.84
time (sec) N/A 0.028 0.021 0.028 0.000 0.507 16.494 0.000 0.049
Problem 273 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 30 30 30 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.036 0.021 0.035 0.000 0.439 0.000 0.000 0.000
Problem 274 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 65 65 32 0 0 0 0 0 -1
normalized size 1 1.00 0.49 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.075 0.023 0.158 0.000 0.519 0.000 0.000 0.000
Problem 275 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 105 105 34 0 0 0 0 0 -1
normalized size 1 1.00 0.32 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.028 0.612 0.000 0.415 0.000 0.000 0.000
Problem 276 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 148 148 52 0 0 0 0 0 -1
normalized size 1 1.00 0.35 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.142 0.025 0.386 0.000 0.411 0.000 0.000 0.000
Problem 277 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 109 109 43 0 0 0 0 0 -1
normalized size 1 1.00 0.39 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.034 0.220 0.000 0.454 0.000 0.000 0.000
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 70 70 36 0 0 0 0 0 -1
normalized size 1 1.00 0.51 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.056 0.018 0.064 0.000 0.400 0.000 0.000 0.000
Problem 279 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 27 27 27 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.016 0.010 0.028 0.000 0.470 0.000 0.000 0.000
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 60 60 26 0 0 0 0 0 -1
normalized size 1 1.00 0.43 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.056 0.023 0.081 0.000 0.436 0.000 0.000 0.000
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 105 105 29 0 0 0 0 0 -1
normalized size 1 1.00 0.28 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.098 0.019 0.295 0.000 0.541 0.000 0.000 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 144 144 29 0 0 0 0 0 -1
normalized size 1 1.00 0.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.137 0.031 0.541 0.000 0.444 0.000 0.000 0.000
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 95 0 0 102 0 0 206
normalized size 1 1.00 0.66 0.00 0.00 0.71 0.00 0.00 1.43
time (sec) N/A 0.229 0.081 0.060 0.000 0.429 0.000 0.000 0.560
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 77 0 0 82 0 0 117
normalized size 1 1.00 0.79 0.00 0.00 0.85 0.00 0.00 1.21
time (sec) N/A 0.115 0.053 0.189 0.000 0.471 0.000 0.000 0.440
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 42 0 0 46 0 0 50
normalized size 1 1.00 0.89 0.00 0.00 0.98 0.00 0.00 1.06
time (sec) N/A 0.038 0.013 0.197 0.000 1.219 0.000 0.000 0.279
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 22 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 -0.05
time (sec) N/A 0.039 0.087 0.036 0.000 0.429 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 93 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 0.111 0.175 0.213 0.000 0.481 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 174 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 0.219 0.222 0.232 0.000 0.566 0.000 0.000 0.000
Problem 289 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 121 121 78 0 0 74 124 0 126
normalized size 1 1.00 0.64 0.00 0.00 0.61 1.02 0.00 1.04
time (sec) N/A 0.163 0.052 0.061 0.000 0.539 19.831 0.000 0.505
Problem 290 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 69 69 58 0 0 53 68 0 86
normalized size 1 1.00 0.84 0.00 0.00 0.77 0.99 0.00 1.25
time (sec) N/A 0.076 0.016 0.178 0.000 0.576 3.789 0.000 0.324
Problem 291 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 21 21 21 0 0 16 19 0 91
normalized size 1 1.00 1.00 0.00 0.00 0.76 0.90 0.00 4.33
time (sec) N/A 0.018 0.005 0.000 0.000 0.423 0.540 0.000 0.307
Problem 292 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 59 59 56 0 0 55 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.93 0.00 0.00 -0.02
time (sec) N/A 0.082 0.031 0.082 0.000 0.440 0.000 0.000 0.000
Problem 293 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 118 118 91 0 0 85 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 0.72 0.00 0.00 -0.01
time (sec) N/A 0.173 0.043 0.233 0.000 0.428 0.000 0.000 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 206 0 0 262 0 0 336
normalized size 1 1.00 0.68 0.00 0.00 0.86 0.00 0.00 1.11
time (sec) N/A 0.468 2.548 0.235 0.000 0.490 0.000 0.000 1.135
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 73 0 0 100 0 0 79
normalized size 1 1.00 0.94 0.00 0.00 1.28 0.00 0.00 1.01
time (sec) N/A 0.053 0.074 0.222 0.000 0.510 0.000 0.000 0.251
Problem 296 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 22 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 -0.05
time (sec) N/A 0.037 0.199 0.036 0.000 0.482 0.000 0.000 0.000
Problem 297 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 167 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 0.387 0.367 0.292 0.000 0.431 0.000 0.000 0.000
Problem 298 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 468 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 -0.00
time (sec) N/A 0.892 0.575 0.065 0.000 0.392 0.000 0.000 0.000
Problem 299 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 149 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 0.174 0.422 0.249 0.000 0.407 0.000 0.000 0.000
Problem 300 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 19 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 -0.05
time (sec) N/A 0.014 0.038 0.071 0.000 0.493 0.000 0.000 0.000
Problem 301 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 79 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 0.203 0.396 0.106 0.000 0.517 0.000 0.000 0.000
Problem 302 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 323 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 -0.00
time (sec) N/A 0.854 0.580 0.290 0.000 0.466 0.000 0.000 0.000
Problem 303 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 33 33 33 41 0 39 53 0 28
normalized size 1 1.00 1.00 1.24 0.00 1.18 1.61 0.00 0.85
time (sec) N/A 0.119 0.056 0.181 0.000 0.590 31.157 0.000 0.173
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 67 67 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.056 0.659 0.026 0.000 0.515 0.000 0.000 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 67 67 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 0.711 0.026 0.000 0.439 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.055 0.540 0.037 0.000 0.526 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 63 63 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.053 0.510 0.030 0.000 0.514 0.000 0.000 0.000
Problem 308 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 57 57 74 0 0 0 0 0 -1
normalized size 1 1.00 1.30 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 1.560 0.020 0.000 0.483 0.000 0.000 0.000
Problem 309 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 57 57 72 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.973 0.021 0.000 0.559 0.000 0.000 0.000
Problem 310 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 57 57 74 0 0 0 0 0 -1
normalized size 1 1.00 1.30 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.049 12.953 0.026 0.000 0.530 0.000 0.000 0.000
Problem 311 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 57 57 72 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 1.958 0.027 0.000 0.457 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 [31] had the largest ratio of [.6667]

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 5 3 1.00 8 0.375
2 A 4 3 1.00 8 0.375
3 A 3 3 1.00 6 0.500
4 A 1 1 1.00 8 0.125
5 A 3 3 1.00 8 0.375
6 A 4 3 1.00 8 0.375
7 A 5 3 1.00 8 0.375
8 A 5 3 1.00 8 0.375
9 A 4 3 1.00 8 0.375
10 A 3 3 1.00 8 0.375
11 A 1 1 1.00 4 0.250
12 A 2 2 1.00 8 0.250
13 A 3 3 1.00 8 0.375
14 A 4 3 1.00 8 0.375
15 A 12 5 1.00 14 0.357
16 A 9 5 1.00 14 0.357
17 A 7 5 1.00 12 0.417
18 A 1 1 1.00 6 0.167
19 A 0 0 0.00 0 0.000
20 A 0 0 0.00 0 0.000
21 A 0 0 0.00 0 0.000
22 A 12 6 1.00 10 0.600
23 A 8 6 1.00 10 0.600
24 A 5 5 1.00 8 0.625
25 A 0 0 0.00 0 0.000
26 A 5 5 1.00 10 0.500
27 A 8 6 1.00 10 0.600
28 A 12 6 1.00 10 0.600
29 A 10 5 1.00 10 0.500
30 A 6 5 1.00 10 0.500
31 A 4 4 1.00 6 0.667
32 A 0 0 0.00 0 0.000
33 A 0 0 0.00 0 0.000
34 A 0 0 0.00 0 0.000
35 A 16 10 1.00 16 0.625
36 A 10 9 1.00 14 0.643
37 A 4 3 1.00 8 0.375
38 A 0 0 0.00 0 0.000
39 A 0 0 0.00 0 0.000
40 A 7 7 1.00 17 0.412
41 A 7 7 1.00 15 0.467
42 A 7 7 1.00 13 0.538
43 A 3 1 1.00 17 0.059
44 A 7 7 1.00 17 0.412
45 A 7 7 1.00 17 0.412
46 A 8 8 1.00 19 0.421
47 A 2 2 1.00 19 0.105
48 A 2 2 1.00 17 0.118
49 A 2 2 1.00 19 0.105
50 A 2 2 1.00 19 0.105
51 A 2 2 1.00 19 0.105
52 A 2 2 1.00 19 0.105
53 A 9 4 1.00 17 0.235
54 A 5 4 1.00 17 0.235
55 A 2 2 1.00 15 0.133
56 A 0 0 0.00 0 0.000
57 A 0 0 0.00 0 0.000
58 A 0 0 0.00 0 0.000
59 A 0 0 0.00 0 0.000
60 A 0 0 0.00 0 0.000
61 A 0 0 0.00 0 0.000
62 A 0 0 0.00 0 0.000
63 A 0 0 0.00 0 0.000
64 A 8 5 1.00 19 0.263
65 A 5 5 1.00 19 0.263
66 A 2 2 1.00 17 0.118
67 A 1 1 1.00 19 0.053
68 A 4 4 1.00 19 0.210
69 A 7 4 1.00 19 0.210
70 A 7 4 1.00 19 0.210
71 A 4 4 1.00 19 0.210
72 A 1 1 1.00 16 0.062
73 A 4 4 1.00 19 0.210
74 A 7 5 1.00 19 0.263
75 A 9 4 1.00 18 0.222
76 A 5 4 1.00 18 0.222
77 A 2 2 1.00 16 0.125
78 A 0 0 0.00 0 0.000
79 A 0 0 0.00 0 0.000
80 A 0 0 0.00 0 0.000
81 A 7 5 1.00 18 0.278
82 A 4 4 1.00 18 0.222
83 A 2 2 1.00 15 0.133
84 A 4 4 1.00 18 0.222
85 A 7 5 1.00 18 0.278
86 A 10 6 1.00 19 0.316
87 A 3 3 1.00 17 0.176
88 A 0 0 0.00 0 0.000
89 A 0 0 0.00 0 0.000
90 A 0 0 0.00 0 0.000
91 A 0 0 0.00 0 0.000
92 A 0 0 0.00 0 0.000
93 A 0 0 0.00 0 0.000
94 A 0 0 0.00 0 0.000
95 A 4 3 1.00 40 0.075
96 A 4 4 1.00 18 0.222
97 A 4 4 1.00 18 0.222
98 A 4 4 1.00 18 0.222
99 A 4 4 1.00 18 0.222
100 A 4 4 1.00 15 0.267
101 A 4 4 1.00 16 0.250
102 A 4 4 1.00 15 0.267
103 A 4 4 1.00 16 0.250
104 A 5 3 1.00 8 0.375
105 A 4 3 1.00 8 0.375
106 A 3 3 1.00 6 0.500
107 A 2 2 1.00 8 0.250
108 A 3 3 1.00 8 0.375
109 A 4 3 1.00 8 0.375
110 A 5 3 1.00 8 0.375
111 A 5 3 1.00 8 0.375
112 A 4 3 1.00 8 0.375
113 A 3 3 1.00 8 0.375
114 A 1 1 1.00 4 0.250
115 A 2 2 1.00 8 0.250
116 A 3 3 1.00 8 0.375
117 A 4 3 1.00 8 0.375
118 A 12 5 1.00 14 0.357
119 A 9 5 1.00 14 0.357
120 A 7 5 1.00 12 0.417
121 A 1 1 1.00 6 0.167
122 A 0 0 0.00 0 0.000
123 A 0 0 0.00 0 0.000
124 A 0 0 0.00 0 0.000
125 A 12 6 1.00 10 0.600
126 A 8 6 1.00 10 0.600
127 A 5 5 1.00 8 0.625
128 A 0 0 0.00 0 0.000
129 A 5 5 1.00 10 0.500
130 A 8 6 1.00 10 0.600
131 A 12 6 1.00 10 0.600
132 A 10 5 1.00 10 0.500
133 A 6 5 1.00 10 0.500
134 A 4 4 1.00 6 0.667
135 A 0 0 0.00 0 0.000
136 A 0 0 0.00 0 0.000
137 A 0 0 0.00 0 0.000
138 A 16 10 1.00 16 0.625
139 A 10 9 1.00 14 0.643
140 A 4 3 1.00 8 0.375
141 A 0 0 0.00 0 0.000
142 A 0 0 0.00 0 0.000
143 A 7 7 1.00 17 0.412
144 A 7 7 1.00 15 0.467
145 A 7 7 1.00 13 0.538
146 A 3 1 1.00 17 0.059
147 A 7 7 1.00 17 0.412
148 A 7 7 1.00 17 0.412
149 A 8 8 1.00 19 0.421
150 A 2 2 1.00 19 0.105
151 A 2 2 1.00 17 0.118
152 A 2 2 1.00 19 0.105
153 A 2 2 1.00 19 0.105
154 A 2 2 1.00 19 0.105
155 A 2 2 1.00 19 0.105
156 A 9 4 1.00 17 0.235
157 A 5 4 1.00 17 0.235
158 A 2 2 1.00 15 0.133
159 A 0 0 0.00 0 0.000
160 A 0 0 0.00 0 0.000
161 A 0 0 0.00 0 0.000
162 A 0 0 0.00 0 0.000
163 A 0 0 0.00 0 0.000
164 A 0 0 0.00 0 0.000
165 A 0 0 0.00 0 0.000
166 A 0 0 0.00 0 0.000
167 A 8 5 1.00 19 0.263
168 A 5 5 1.00 19 0.263
169 A 2 2 1.00 17 0.118
170 A 3 3 1.00 19 0.158
171 A 6 6 1.00 19 0.316
172 A 9 6 1.00 19 0.316
173 A 9 6 1.00 19 0.316
174 A 6 6 1.00 19 0.316
175 A 3 3 1.00 16 0.188
176 A 6 6 1.00 19 0.316
177 A 9 7 1.00 19 0.368
178 A 9 4 1.00 18 0.222
179 A 5 4 1.00 18 0.222
180 A 2 2 1.00 16 0.125
181 A 0 0 0.00 0 0.000
182 A 0 0 0.00 0 0.000
183 A 0 0 0.00 0 0.000
184 A 7 5 1.00 18 0.278
185 A 4 4 1.00 18 0.222
186 A 2 2 1.00 15 0.133
187 A 4 4 1.00 18 0.222
188 A 7 5 1.00 18 0.278
189 A 10 6 1.00 19 0.316
190 A 3 3 1.00 17 0.176
191 A 0 0 0.00 0 0.000
192 A 0 0 0.00 0 0.000
193 A 0 0 0.00 0 0.000
194 A 0 0 0.00 0 0.000
195 A 0 0 0.00 0 0.000
196 A 0 0 0.00 0 0.000
197 A 0 0 0.00 0 0.000
198 A 4 3 1.00 40 0.075
199 A 6 6 1.00 18 0.333
200 A 6 6 1.00 18 0.333
201 A 6 6 1.00 18 0.333
202 A 6 6 1.00 18 0.333
203 A 6 6 1.00 15 0.400
204 A 6 6 1.00 16 0.375
205 A 6 6 1.00 15 0.400
206 A 6 6 1.00 16 0.375
207 A 5 3 1.00 8 0.375
208 A 4 3 1.00 8 0.375
209 A 3 3 1.00 6 0.500
210 A 1 1 1.00 8 0.125
211 A 3 3 1.00 8 0.375
212 A 4 3 1.00 8 0.375
213 A 5 3 1.00 8 0.375
214 A 5 3 1.00 8 0.375
215 A 4 3 1.00 8 0.375
216 A 3 3 1.00 8 0.375
217 A 1 1 1.00 4 0.250
218 A 2 2 1.00 8 0.250
219 A 3 3 1.00 8 0.375
220 A 4 3 1.00 8 0.375
221 A 12 5 1.00 14 0.357
222 A 9 5 1.00 14 0.357
223 A 7 5 1.00 12 0.417
224 A 1 1 1.00 6 0.167
225 A 0 0 0.00 0 0.000
226 A 0 0 0.00 0 0.000
227 A 0 0 0.00 0 0.000
228 A 12 6 1.00 10 0.600
229 A 8 6 1.00 10 0.600
230 A 5 5 1.00 8 0.625
231 A 0 0 0.00 0 0.000
232 A 5 5 1.00 10 0.500
233 A 8 6 1.00 10 0.600
234 A 12 6 1.00 10 0.600
235 A 10 5 1.00 10 0.500
236 A 6 5 1.00 10 0.500
237 A 4 4 1.00 6 0.667
238 A 0 0 0.00 0 0.000
239 A 0 0 0.00 0 0.000
240 A 0 0 0.00 0 0.000
241 A 16 10 1.00 16 0.625
242 A 10 9 1.00 14 0.643
243 A 4 3 1.00 8 0.375
244 A 0 0 0.00 0 0.000
245 A 0 0 0.00 0 0.000
246 A 7 7 1.00 17 0.412
247 A 7 7 1.00 15 0.467
248 A 7 7 1.00 13 0.538
249 A 3 1 1.00 17 0.059
250 A 7 7 1.00 17 0.412
251 A 7 7 1.00 17 0.412
252 A 8 8 1.00 19 0.421
253 A 2 2 1.00 18 0.111
254 A 2 2 1.00 16 0.125
255 A 2 2 1.00 18 0.111
256 A 2 2 1.00 18 0.111
257 A 2 2 1.00 18 0.111
258 A 2 2 1.00 18 0.111
259 A 9 4 1.00 17 0.235
260 A 5 4 1.00 17 0.235
261 A 2 2 1.00 15 0.133
262 A 0 0 0.00 0 0.000
263 A 0 0 0.00 0 0.000
264 A 0 0 0.00 0 0.000
265 A 0 0 0.00 0 0.000
266 A 0 0 0.00 0 0.000
267 A 0 0 0.00 0 0.000
268 A 0 0 0.00 0 0.000
269 A 0 0 0.00 0 0.000
270 A 6 4 1.00 18 0.222
271 A 4 4 1.00 18 0.222
272 A 2 2 1.00 16 0.125
273 A 1 1 1.00 18 0.056
274 A 3 3 1.00 18 0.167
275 A 5 3 1.00 18 0.167
276 A 7 3 1.00 18 0.167
277 A 5 3 1.00 18 0.167
278 A 3 3 1.00 18 0.167
279 A 1 1 1.00 15 0.067
280 A 3 3 1.00 18 0.167
281 A 5 4 1.00 18 0.222
282 A 7 4 1.00 18 0.222
283 A 9 4 1.00 19 0.210
284 A 5 4 1.00 19 0.210
285 A 2 2 1.00 17 0.118
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 7 5 1.00 19 0.263
290 A 4 4 1.00 19 0.210
291 A 2 2 1.00 16 0.125
292 A 4 4 1.00 19 0.210
293 A 7 5 1.00 19 0.263
294 A 10 6 1.00 19 0.316
295 A 3 3 1.00 17 0.176
296 A 0 0 0.00 0 0.000
297 A 0 0 0.00 0 0.000
298 A 0 0 0.00 0 0.000
299 A 0 0 0.00 0 0.000
300 A 0 0 0.00 0 0.000
301 A 0 0 0.00 0 0.000
302 A 0 0 0.00 0 0.000
303 A 5 3 1.00 40 0.075
304 A 4 4 1.00 18 0.222
305 A 4 4 1.00 18 0.222
306 A 4 4 1.00 18 0.222
307 A 4 4 1.00 18 0.222
308 A 4 4 1.00 15 0.267
309 A 4 4 1.00 16 0.250
310 A 4 4 1.00 15 0.267
311 A 4 4 1.00 16 0.250

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