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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, 19, 20, 21, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 47, 48, 49, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 106, 107, 108, 109, 110, 111, 114, 115, 116, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 137, 138, 139, 142, 143, 144, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 164, 165, 166, 168, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 191, 192, 193, 196, 197, 198, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 219, 220, 221, 224, 225, 226, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 309 }

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

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

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

2.1.2 Mathematica

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

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

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

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

2.1.3 Maple

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

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

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

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

2.1.4 Maxima

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

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

C grade: { }

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

2.1.5 FriCAS

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

B grade: { 1, 2, 3, 8, 9, 16, 17, 18, 28, 29, 30, 31, 32, 36, 37, 44, 45, 46, 56, 57, 58, 59, 63, 64, 88, 89, 90, 95, 96, 118, 119, 120, 121, 126, 127, 147, 148, 149, 150, 153, 154, 155, 160, 161, 162, 163, 168, 169, 170, 171, 173, 174, 175, 180, 181, 190, 199, 200, 201, 202, 203, 208, 209, 218, 231, 236, 237, 263, 264, 268, 269, 293, 294, 295, 299, 300 }

C grade: { }

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

2.1.6 Sympy

A grade: { 3, 4, 19, 20, 21, 24, 25, 31, 32, 47, 48, 49, 52, 53, 59, 60, 61, 76, 77, 78, 79, 82, 83, 84, 109, 110, 111, 114, 115, 116, 137, 138, 139, 142, 143, 144, 191, 192, 193, 197, 198, 219, 220, 221, 224, 225, 226, 234, 249, 250, 251, 252, 253, 254, 256, 257, 258, 281, 282, 283, 284, 285, 287, 288, 289 }

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

C grade: { }

F grade: { 1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 54, 55, 56, 57, 58, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 80, 81, 85, 86, 87, 92, 97, 98, 99, 100, 101, 105, 106, 107, 108, 112, 113, 117, 118, 123, 128, 129, 130, 131, 132, 136, 140, 141, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 177, 182, 183, 184, 185, 186, 190, 194, 195, 196, 199, 200, 205, 210, 211, 212, 213, 214, 218, 222, 223, 227, 228, 229, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 255, 259, 260, 261, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 286, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.7 Giac

A grade: { 6, 7, 15, 16, 17, 18, 24, 25, 26, 34, 35, 43, 44, 45, 52, 53, 54, 55, 56, 82, 83, 84, 85, 86, 87, 93, 94, 102, 103, 104, 105, 116, 122, 125, 136, 137, 138, 139, 142, 143, 144, 150, 152, 153, 178, 179, 187, 188, 189, 198, 199, 204, 206, 207, 218, 219, 220, 221, 224, 225, 226, 258, 259, 260, 261, 264, 265, 266, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 296, 297, 299 }

B grade: { 1, 2, 3, 4, 8, 9, 29, 30, 31, 32, 36, 37, 46, 57, 58, 59, 60, 61, 63, 64, 65, 88, 89, 90, 91, 95, 96, 107, 108, 119, 120, 121, 124, 126, 127, 133, 147, 148, 149, 154, 155, 173, 174, 175, 176, 180, 181, 190, 200, 201, 202, 203, 208, 209, 215, 231, 232, 233, 234, 236, 237, 249, 263, 269, 270, 295, 300, 301, 302 }

C grade: { }

F grade: { 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 27, 28, 33, 38, 39, 40, 41, 42, 47, 48, 49, 50, 51, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 92, 97, 98, 99, 100, 101, 106, 109, 110, 111, 112, 113, 114, 115, 117, 118, 123, 128, 129, 130, 131, 132, 134, 135, 140, 141, 145, 146, 151, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 177, 182, 183, 184, 185, 186, 191, 192, 193, 194, 195, 196, 197, 205, 210, 211, 212, 213, 214, 216, 217, 222, 223, 227, 228, 229, 230, 235, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 262, 267, 268, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 293, 294, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.1.8 Mupad

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

B grade: { 1, 2, 3, 4, 6, 7, 8, 9, 15, 16, 17, 18, 29, 30, 31, 32, 34, 35, 36, 37, 43, 44, 45, 46, 57, 58, 59, 60, 61, 63, 64, 65, 66, 88, 89, 90, 91, 93, 94, 95, 96, 102, 103, 104, 105, 106, 107, 108, 119, 120, 121, 122, 124, 125, 126, 127, 133, 134, 135, 136, 147, 148, 149, 150, 152, 153, 154, 155, 160, 161, 162, 163, 168, 169, 170, 171, 173, 174, 175, 176, 178, 179, 180, 181, 187, 188, 189, 190, 201, 202, 203, 204, 206, 207, 208, 209, 215, 216, 217, 218, 230, 231, 232, 233, 234, 236, 237, 238, 239, 249, 262, 263, 264, 265, 266, 268, 269, 270, 271, 293, 294, 295, 296, 297, 299, 300, 301, 302 }

C grade: { }

F grade: { 5, 10, 11, 12, 13, 14, 22, 23, 27, 28, 33, 38, 39, 40, 41, 42, 50, 51, 55, 56, 62, 67, 68, 69, 70, 71, 72, 73, 74, 75, 92, 97, 98, 99, 100, 101, 112, 113, 117, 118, 123, 128, 129, 130, 131, 132, 140, 141, 145, 146, 151, 156, 157, 158, 159, 164, 165, 166, 167, 172, 177, 182, 183, 184, 185, 186, 194, 195, 199, 200, 205, 210, 211, 212, 213, 214, 222, 223, 227, 228, 229, 235, 240, 241, 242, 243, 244, 245, 246, 247, 248, 267, 272, 273, 274, 275, 276, 277, 278, 279, 280, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 146 0 676 569 0 4392 1046
normalized size 1 1.00 0.78 0.00 3.60 3.03 0.00 23.36 5.56
time (sec) N/A 0.143 0.119 0.333 1.473 1.141 0.000 6.201 4.548
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 124 0 479 426 0 2986 588
normalized size 1 1.00 0.79 0.00 3.07 2.73 0.00 19.14 3.77
time (sec) N/A 0.106 0.108 0.265 1.408 1.128 0.000 4.412 4.399
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 103 0 309 296 673 1836 303
normalized size 1 1.00 0.83 0.00 2.49 2.39 5.43 14.81 2.44
time (sec) N/A 0.090 0.058 0.267 1.386 0.770 60.494 2.292 4.284
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 73 0 156 160 398 864 134
normalized size 1 1.00 0.85 0.00 1.81 1.86 4.63 10.05 1.56
time (sec) N/A 0.061 0.038 0.175 1.347 0.927 40.673 1.241 4.073
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 126 101 0 0 0 0 0 -1
normalized size 1 1.50 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 0.053 0.365 0.000 0.839 0.000 0.000 0.000
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 108 115 0 137 103 0 85 112
normalized size 1 1.61 1.72 0.00 2.04 1.54 0.00 1.27 1.67
time (sec) N/A 0.090 0.061 0.286 1.191 0.979 0.000 2.914 5.655
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 114 0 259 265 0 220 222
normalized size 1 1.00 0.75 0.00 1.72 1.75 0.00 1.46 1.47
time (sec) N/A 0.123 0.152 0.281 1.363 0.922 0.000 4.801 4.522
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 145 0 432 482 0 375 349
normalized size 1 1.00 0.79 0.00 2.36 2.63 0.00 2.05 1.91
time (sec) N/A 0.152 0.174 0.288 1.348 0.943 0.000 5.218 4.845
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 162 0 651 733 0 533 603
normalized size 1 1.00 0.75 0.00 3.03 3.41 0.00 2.48 2.80
time (sec) N/A 0.189 0.223 0.280 1.600 0.714 0.000 8.372 5.121
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 396 602 535 0 2945 0 0 0 -1
normalized size 1 1.52 1.35 0.00 7.44 0.00 0.00 0.00 -0.00
time (sec) N/A 0.871 0.515 0.273 8.285 0.899 0.000 0.000 0.000
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 512 411 0 2175 0 0 0 -1
normalized size 1 1.53 1.23 0.00 6.49 0.00 0.00 0.00 -0.00
time (sec) N/A 0.707 0.349 0.286 8.015 0.810 0.000 0.000 0.000
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 420 303 0 1501 0 0 0 -1
normalized size 1 1.53 1.11 0.00 5.48 0.00 0.00 0.00 -0.00
time (sec) N/A 0.583 0.233 0.275 11.466 0.800 0.000 0.000 0.000
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 309 215 0 828 0 0 0 -1
normalized size 1 1.58 1.10 0.00 4.22 0.00 0.00 0.00 -0.01
time (sec) N/A 0.443 0.195 0.115 7.481 0.937 0.000 0.000 0.000
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 789 537 0 0 0 0 0 -1
normalized size 1 5.72 3.89 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 3.573 0.427 0.286 0.000 0.678 0.000 0.000 0.000
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 512 330 0 430 258 0 163 238
normalized size 1 3.76 2.43 0.00 3.16 1.90 0.00 1.20 1.75
time (sec) N/A 0.840 0.575 0.271 1.473 0.830 0.000 7.357 5.590
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 288 626 463 0 861 651 0 458 506
normalized size 1 2.17 1.61 0.00 2.99 2.26 0.00 1.59 1.76
time (sec) N/A 0.923 0.494 0.284 1.740 0.861 0.000 10.434 6.171
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 448 736 609 0 1432 1164 0 810 1038
normalized size 1 1.64 1.36 0.00 3.20 2.60 0.00 1.81 2.32
time (sec) N/A 1.087 0.704 0.281 2.344 0.871 0.000 13.074 7.693
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 615 826 776 0 2136 1762 0 1166 1769
normalized size 1 1.34 1.26 0.00 3.47 2.87 0.00 1.90 2.88
time (sec) N/A 1.314 1.025 0.279 2.978 1.077 0.000 17.895 9.221
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.233 0.771 0.263 0.000 0.881 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 F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.115 0.297 0.154 0.000 0.917 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 F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.081 0.150 0.369 0.000 0.859 0.000 0.000 0.000
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 94 0 94 0 0 62 0 0 -1
normalized size 1 0.00 1.00 0.00 0.00 0.66 0.00 0.00 -0.01
time (sec) N/A 0.099 0.166 0.290 0.000 0.905 0.000 0.000 0.000
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F(-1) F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 197 0 172 0 0 149 0 0 -1
normalized size 1 0.00 0.87 0.00 0.00 0.76 0.00 0.00 -0.01
time (sec) N/A 0.082 0.328 0.286 0.000 0.953 0.000 0.000 0.000
Problem 24 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 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.238 1.050 0.261 0.000 0.763 0.000 0.000 0.000
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 36 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.126 0.987 0.068 0.000 0.889 0.000 0.000 0.000
Problem 26 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 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.091 0.557 0.281 0.000 0.625 0.000 0.000 0.000
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 153 0 146 0 0 274 0 0 -1
normalized size 1 0.00 0.95 0.00 0.00 1.79 0.00 0.00 -0.01
time (sec) N/A 0.105 0.186 0.283 0.000 0.882 0.000 0.000 0.000
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 314 0 254 0 0 755 0 0 -1
normalized size 1 0.00 0.81 0.00 0.00 2.40 0.00 0.00 -0.00
time (sec) N/A 0.093 0.616 0.286 0.000 0.930 0.000 0.000 0.000
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 146 0 676 572 0 1862 1045
normalized size 1 1.00 0.78 0.00 3.60 3.04 0.00 9.90 5.56
time (sec) N/A 0.128 0.101 0.297 1.378 1.037 0.000 5.994 4.484
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 124 0 479 429 0 1390 588
normalized size 1 1.00 0.79 0.00 3.07 2.75 0.00 8.91 3.77
time (sec) N/A 0.102 0.093 0.274 1.368 1.025 0.000 4.452 4.367
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 101 0 309 297 779 980 303
normalized size 1 1.00 0.81 0.00 2.49 2.40 6.28 7.90 2.44
time (sec) N/A 0.081 0.061 0.272 1.288 1.038 60.458 3.154 4.307
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 74 0 156 162 444 572 134
normalized size 1 1.00 0.86 0.00 1.81 1.88 5.16 6.65 1.56
time (sec) N/A 0.060 0.039 0.176 1.136 0.698 40.678 1.267 4.098
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 128 101 0 0 0 0 0 -1
normalized size 1 1.60 1.26 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.201 0.044 0.372 0.000 0.993 0.000 0.000 0.000
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 107 114 0 136 105 0 89 113
normalized size 1 1.05 1.12 0.00 1.33 1.03 0.00 0.87 1.11
time (sec) N/A 0.087 0.059 0.292 1.133 0.843 0.000 3.766 4.017
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 115 0 259 266 0 203 221
normalized size 1 1.00 0.76 0.00 1.72 1.76 0.00 1.34 1.46
time (sec) N/A 0.114 0.151 0.285 1.355 0.969 0.000 6.453 4.551
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 146 0 433 483 0 399 349
normalized size 1 1.00 0.80 0.00 2.37 2.64 0.00 2.18 1.91
time (sec) N/A 0.143 0.170 0.279 1.365 0.931 0.000 7.700 4.723
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 162 0 652 735 0 676 603
normalized size 1 1.00 0.75 0.00 3.03 3.42 0.00 3.14 2.80
time (sec) N/A 0.176 0.231 0.298 1.058 1.086 0.000 11.422 4.985
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 544 634 533 0 2880 0 0 0 -1
normalized size 1 1.17 0.98 0.00 5.29 0.00 0.00 0.00 -0.00
time (sec) N/A 0.880 0.503 0.277 4.783 0.855 0.000 0.000 0.000
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 454 544 409 0 2129 0 0 0 -1
normalized size 1 1.20 0.90 0.00 4.69 0.00 0.00 0.00 -0.00
time (sec) N/A 0.684 0.335 0.272 4.846 1.038 0.000 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 454 303 0 1473 0 0 0 -1
normalized size 1 1.26 0.84 0.00 4.08 0.00 0.00 0.00 -0.00
time (sec) N/A 0.567 0.239 0.265 5.751 0.773 0.000 0.000 0.000
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 307 216 0 825 0 0 0 -1
normalized size 1 1.40 0.98 0.00 3.75 0.00 0.00 0.00 -0.00
time (sec) N/A 0.423 0.205 0.110 4.367 0.924 0.000 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 782 537 0 0 0 0 0 -1
normalized size 1 5.71 3.92 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 3.302 0.407 0.300 0.000 0.957 0.000 0.000 0.000
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 514 331 0 428 263 0 164 237
normalized size 1 3.15 2.03 0.00 2.63 1.61 0.00 1.01 1.45
time (sec) N/A 0.774 0.431 0.282 0.861 0.912 0.000 7.263 5.649
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 626 464 0 861 654 0 387 505
normalized size 1 1.97 1.46 0.00 2.72 2.06 0.00 1.22 1.59
time (sec) N/A 0.915 0.444 0.280 1.226 1.084 0.000 9.303 5.467
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 429 736 609 0 1435 1167 0 746 1040
normalized size 1 1.72 1.42 0.00 3.34 2.72 0.00 1.74 2.42
time (sec) N/A 1.098 0.673 0.285 1.293 0.852 0.000 13.815 7.162
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 536 826 776 0 2138 1768 0 1225 1765
normalized size 1 1.54 1.45 0.00 3.99 3.30 0.00 2.29 3.29
time (sec) N/A 1.295 0.929 0.285 2.109 1.157 0.000 19.414 9.081
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.214 0.439 0.265 0.000 0.875 0.000 0.000 0.000
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.115 0.298 0.152 0.000 1.315 0.000 0.000 0.000
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.083 0.178 0.385 0.000 0.803 0.000 0.000 0.000
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 96 0 96 0 0 62 0 0 -1
normalized size 1 0.00 1.00 0.00 0.00 0.65 0.00 0.00 -0.01
time (sec) N/A 0.100 0.123 0.283 0.000 0.897 0.000 0.000 0.000
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F(-1) F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 199 0 174 0 0 147 0 0 -1
normalized size 1 0.00 0.87 0.00 0.00 0.74 0.00 0.00 -0.01
time (sec) N/A 0.083 0.285 0.284 0.000 0.904 0.000 0.000 0.000
Problem 52 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 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.233 0.996 0.264 0.000 1.031 0.000 0.000 0.000
Problem 53 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 36 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.124 1.004 0.063 0.000 0.898 0.000 0.000 0.000
Problem 54 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 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.090 0.559 0.304 0.000 0.903 0.000 0.000 0.000
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F(-1) A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 154 0 180 0 0 291 0 140 -1
normalized size 1 0.00 1.17 0.00 0.00 1.89 0.00 0.91 -0.01
time (sec) N/A 0.104 0.171 0.289 0.000 0.805 0.000 1.160 0.000
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 256 0 288 0 0 770 0 312 -1
normalized size 1 0.00 1.12 0.00 0.00 3.01 0.00 1.22 -0.00
time (sec) N/A 0.094 0.544 0.288 0.000 0.899 0.000 2.108 0.000
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 364 348 285 0 631 736 0 11806 1433
normalized size 1 0.96 0.78 0.00 1.73 2.02 0.00 32.43 3.94
time (sec) N/A 0.603 0.630 0.342 0.908 2.394 0.000 15.160 4.680
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 219 0 443 521 0 6660 766
normalized size 1 1.00 0.93 0.00 1.89 2.22 0.00 28.34 3.26
time (sec) N/A 0.359 0.283 0.262 0.927 1.607 0.000 9.224 4.742
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 146 0 282 334 1027 3346 371
normalized size 1 1.00 0.93 0.00 1.80 2.13 6.54 21.31 2.36
time (sec) N/A 0.180 0.146 0.269 0.888 0.961 70.520 5.580 4.179
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 120 0 150 179 551 1189 153
normalized size 1 1.00 1.04 0.00 1.30 1.56 4.79 10.34 1.33
time (sec) N/A 0.105 0.127 0.178 0.760 1.166 44.182 2.374 4.257
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 122 52 63 158 237 52
normalized size 1 1.00 1.00 2.18 0.93 1.12 2.82 4.23 0.93
time (sec) N/A 0.033 0.010 0.050 0.626 0.915 5.414 0.942 4.005
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 122 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.226 0.060 0.391 0.000 1.002 0.000 0.000 0.000
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 119 109 0 142 294 0 455 140
normalized size 1 1.31 1.20 0.00 1.56 3.23 0.00 5.00 1.54
time (sec) N/A 0.125 0.147 0.288 0.814 11.245 0.000 4.104 4.640
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 173 0 355 1175 0 2952 430
normalized size 1 1.00 0.91 0.00 1.87 6.18 0.00 15.54 2.26
time (sec) N/A 0.236 0.544 0.280 0.997 159.269 0.000 6.805 6.199
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 264 0 852 0 0 9570 1182
normalized size 1 1.00 0.93 0.00 3.01 0.00 0.00 33.82 4.18
time (sec) N/A 0.458 0.893 0.285 1.409 0.000 0.000 9.250 9.225
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 388 388 359 0 1761 0 0 0 2569
normalized size 1 1.00 0.93 0.00 4.54 0.00 0.00 0.00 6.62
time (sec) N/A 0.713 1.070 0.292 1.798 0.000 0.000 0.000 13.771
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 923 1060 757 0 2651 0 0 0 -1
normalized size 1 1.15 0.82 0.00 2.87 0.00 0.00 0.00 -0.00
time (sec) N/A 1.835 1.040 0.277 5.353 1.334 0.000 0.000 0.000
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 565 699 506 0 1659 0 0 0 -1
normalized size 1 1.24 0.90 0.00 2.94 0.00 0.00 0.00 -0.00
time (sec) N/A 1.150 0.558 0.281 4.830 1.154 0.000 0.000 0.000
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 481 362 0 899 0 0 0 -1
normalized size 1 1.66 1.25 0.00 3.10 0.00 0.00 0.00 -0.00
time (sec) N/A 0.831 0.313 0.112 5.191 1.368 0.000 0.000 0.000
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 275 226 0 0 0 0 0 -1
normalized size 1 2.04 1.67 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.617 0.173 0.146 0.000 1.097 0.000 0.000 0.000
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 2233 1441 0 0 0 0 0 -1
normalized size 1 7.52 4.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.184 0.458 0.309 0.000 1.230 0.000 0.000 0.000
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 657 418 0 0 0 0 0 -1
normalized size 1 3.19 2.03 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.134 0.521 0.286 0.000 1.413 0.000 0.000 0.000
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 941 615 0 0 0 0 0 -1
normalized size 1 2.42 1.58 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.561 1.652 0.287 0.000 0.798 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(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 747 1427 918 0 0 0 0 0 -1
normalized size 1 1.91 1.23 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.500 3.713 0.278 0.000 1.187 0.000 0.000 0.000
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1208 1968 1476 0 0 0 0 0 -1
normalized size 1 1.63 1.22 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.545 7.322 0.290 0.000 1.093 0.000 0.000 0.000
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.189 0.428 0.261 0.000 0.742 0.000 0.000 0.000
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.102 0.289 0.148 0.000 0.859 0.000 0.000 0.000
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.015 0.016 0.121 0.000 1.068 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 F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.071 0.980 0.385 0.000 0.811 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 F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.075 1.104 0.287 0.000 0.900 0.000 0.000 0.000
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.072 11.860 0.293 0.000 2.879 0.000 0.000 0.000
Problem 82 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.207 0.942 0.268 0.000 0.810 0.000 0.000 0.000
Problem 83 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 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.114 0.741 0.059 0.000 0.896 0.000 0.000 0.000
Problem 84 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 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.015 0.665 0.141 0.000 0.875 0.000 0.000 0.000
Problem 85 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.078 1.712 0.305 0.000 0.858 0.000 0.000 0.000
Problem 86 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.081 3.823 0.285 0.000 1.216 0.000 0.000 0.000
Problem 87 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.080 35.462 0.288 0.000 0.827 0.000 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 142 8417 623 431 969 5428 1009
normalized size 1 1.00 0.79 46.76 3.46 2.39 5.38 30.16 5.61
time (sec) N/A 0.124 0.105 0.185 1.317 1.060 6.400 2.558 4.780
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 120 5556 439 318 706 3795 566
normalized size 1 1.00 0.81 37.29 2.95 2.13 4.74 25.47 3.80
time (sec) N/A 0.096 0.097 0.164 1.330 1.014 4.298 1.807 4.645
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 99 3283 280 222 491 2450 290
normalized size 1 1.00 0.84 27.82 2.37 1.88 4.16 20.76 2.46
time (sec) N/A 0.079 0.055 0.149 1.238 0.567 2.920 1.290 4.480
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 69 1544 144 125 253 1319 126
normalized size 1 1.00 0.85 19.06 1.78 1.54 3.12 16.28 1.56
time (sec) N/A 0.053 0.035 0.134 1.459 0.787 1.951 0.966 4.303
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 120 95 602 0 0 0 0 -1
normalized size 1 1.50 1.19 7.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 0.045 0.086 0.000 0.982 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 102 105 373 132 83 233 110 104
normalized size 1 1.62 1.67 5.92 2.10 1.32 3.70 1.75 1.65
time (sec) N/A 0.079 0.058 0.046 1.089 1.366 1.579 1.300 5.020
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 110 777 255 217 422 237 209
normalized size 1 1.00 0.76 5.40 1.77 1.51 2.93 1.65 1.45
time (sec) N/A 0.100 0.129 0.049 1.256 0.611 2.710 1.686 5.039
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 141 1191 428 406 656 382 339
normalized size 1 1.00 0.81 6.81 2.45 2.32 3.75 2.18 1.94
time (sec) N/A 0.130 0.155 0.049 1.360 0.607 4.246 2.131 5.584
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 158 1607 647 629 944 528 577
normalized size 1 1.00 0.77 7.80 3.14 3.05 4.58 2.56 2.80
time (sec) N/A 0.157 0.209 0.049 1.540 3.016 5.926 2.043 6.166
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 557 511 0 2389 0 0 0 -1
normalized size 1 1.53 1.40 0.00 6.55 0.00 0.00 0.00 -0.00
time (sec) N/A 0.855 0.486 2.566 2.376 1.846 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 309 474 391 0 1732 0 0 0 -1
normalized size 1 1.53 1.27 0.00 5.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.646 0.373 2.177 2.369 1.895 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 389 287 0 1165 0 0 0 -1
normalized size 1 1.54 1.13 0.00 4.60 0.00 0.00 0.00 -0.00
time (sec) N/A 0.553 0.287 1.901 2.333 0.958 0.000 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 285 203 0 611 0 0 0 -1
normalized size 1 1.58 1.13 0.00 3.39 0.00 0.00 0.00 -0.01
time (sec) N/A 0.456 0.173 1.622 2.210 0.877 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 728 250 1186 0 0 0 0 -1
normalized size 1 5.69 1.95 9.27 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 3.416 0.613 0.065 0.000 1.639 0.000 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 470 314 828 416 150 434 176 222
normalized size 1 3.73 2.49 6.57 3.30 1.19 3.44 1.40 1.76
time (sec) N/A 0.772 0.454 0.046 1.405 1.096 3.591 2.076 5.260
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 577 443 1715 848 367 894 424 507
normalized size 1 2.15 1.65 6.40 3.16 1.37 3.34 1.58 1.89
time (sec) N/A 0.910 0.465 0.048 1.815 0.573 6.550 1.753 5.851
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 680 585 2624 1419 672 1544 709 1064
normalized size 1 1.63 1.40 6.28 3.39 1.61 3.69 1.70 2.55
time (sec) N/A 1.059 0.691 0.053 2.452 0.691 34.300 1.888 7.405
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 575 763 748 3538 2123 1035 0 995 1881
normalized size 1 1.33 1.30 6.15 3.69 1.80 0.00 1.73 3.27
time (sec) N/A 1.227 0.967 0.051 3.410 1.503 0.000 2.232 10.303
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 29 114 30 158 30 0 0 25
normalized size 1 1.04 4.07 1.07 5.64 1.07 0.00 0.00 0.89
time (sec) N/A 0.022 0.050 0.047 1.171 0.678 0.000 0.000 4.248
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 140 15 61 22 0 320 15
normalized size 1 1.00 9.33 1.00 4.07 1.47 0.00 21.33 1.00
time (sec) N/A 0.014 0.015 0.041 1.211 0.662 0.000 39.245 4.027
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 133 17 59 22 0 322 13
normalized size 1 1.00 10.23 1.31 4.54 1.69 0.00 24.77 1.00
time (sec) N/A 0.013 0.015 0.043 1.304 0.812 0.000 30.471 4.231
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.200 0.616 1.148 0.000 0.789 0.000 0.000 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.101 0.250 1.015 0.000 1.444 0.000 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.072 0.228 1.180 0.000 1.639 0.000 0.000 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 50 0 52 0 0 47 0 0 -1
normalized size 1 0.00 1.04 0.00 0.00 0.94 0.00 0.00 -0.02
time (sec) N/A 0.090 0.104 1.260 0.000 1.353 0.000 0.000 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 107 0 89 0 0 130 0 0 -1
normalized size 1 0.00 0.83 0.00 0.00 1.21 0.00 0.00 -0.01
time (sec) N/A 0.073 0.171 1.321 0.000 0.657 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.206 1.350 1.090 0.000 0.721 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.107 0.930 1.085 0.000 0.950 0.000 0.000 0.000
Problem 116 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.081 0.635 0.995 0.000 0.597 0.000 0.000 0.000
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 103 0 87 0 0 199 0 0 -1
normalized size 1 0.00 0.84 0.00 0.00 1.93 0.00 0.00 -0.01
time (sec) N/A 0.095 0.178 1.338 0.000 0.744 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 212 0 136 0 0 570 0 0 -1
normalized size 1 0.00 0.64 0.00 0.00 2.69 0.00 0.00 -0.00
time (sec) N/A 0.084 0.654 1.506 0.000 0.616 0.000 0.000 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 144 1606 885 454 998 496 1025
normalized size 1 1.00 0.79 8.82 4.86 2.49 5.48 2.73 5.63
time (sec) N/A 0.110 0.091 0.191 1.445 0.776 6.744 72.969 4.990
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 122 1249 647 341 707 361 567
normalized size 1 1.00 0.81 8.27 4.28 2.26 4.68 2.39 3.75
time (sec) N/A 0.097 0.095 0.085 1.602 1.093 4.888 17.615 4.740
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 98 915 437 243 517 252 296
normalized size 1 1.00 0.82 7.62 3.64 2.02 4.31 2.10 2.47
time (sec) N/A 0.074 0.065 0.078 1.414 0.754 3.513 3.434 4.589
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 72 560 250 148 250 131 120
normalized size 1 1.00 0.92 7.18 3.21 1.90 3.21 1.68 1.54
time (sec) N/A 0.057 0.046 0.074 1.324 0.585 2.019 0.843 4.389
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 122 88 552 0 0 0 0 -1
normalized size 1 1.47 1.06 6.65 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.292 0.048 0.134 0.000 2.740 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 105 111 157 187 110 255 188 108
normalized size 1 1.62 1.71 2.42 2.88 1.69 3.92 2.89 1.66
time (sec) N/A 0.077 0.063 0.076 1.222 0.676 1.723 0.455 5.251
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 109 355 307 238 418 264 206
normalized size 1 1.00 0.79 2.57 2.22 1.72 3.03 1.91 1.49
time (sec) N/A 0.093 0.136 0.115 1.237 0.605 2.741 0.300 5.140
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 140 579 480 430 677 473 341
normalized size 1 1.00 0.79 3.27 2.71 2.43 3.82 2.67 1.93
time (sec) N/A 0.115 0.171 0.159 1.387 0.586 4.244 0.326 5.800
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 162 833 699 654 947 419 579
normalized size 1 1.00 0.78 4.00 3.36 3.14 4.55 2.01 2.78
time (sec) N/A 0.144 0.222 0.218 1.618 0.951 5.814 0.768 6.511
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 569 523 0 2650 0 0 0 -1
normalized size 1 1.51 1.39 0.00 7.03 0.00 0.00 0.00 -0.00
time (sec) N/A 0.872 0.462 1.368 3.088 0.699 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 470 402 0 1948 0 0 0 -1
normalized size 1 1.47 1.26 0.00 6.11 0.00 0.00 0.00 -0.00
time (sec) N/A 0.760 0.318 1.204 2.984 0.673 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 397 298 0 1326 0 0 0 -1
normalized size 1 1.56 1.17 0.00 5.20 0.00 0.00 0.00 -0.00
time (sec) N/A 0.621 0.217 1.158 2.634 0.510 0.000 0.000 0.000
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 291 207 0 727 0 0 0 -1
normalized size 1 1.55 1.10 0.00 3.87 0.00 0.00 0.00 -0.01
time (sec) N/A 0.493 0.170 0.954 2.420 0.918 0.000 0.000 0.000
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 749 257 0 0 0 0 0 -1
normalized size 1 5.67 1.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 4.141 0.321 0.985 0.000 2.025 0.000 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 480 321 357 574 200 454 378 228
normalized size 1 3.69 2.47 2.75 4.42 1.54 3.49 2.91 1.75
time (sec) N/A 0.888 0.429 0.097 1.595 0.759 3.660 1.736 5.971
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 579 451 815 1001 410 879 0 503
normalized size 1 2.13 1.66 3.00 3.68 1.51 3.23 0.00 1.85
time (sec) N/A 1.046 0.443 0.154 1.937 0.661 6.236 0.000 5.887
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 429 692 598 1343 1575 719 1561 0 1069
normalized size 1 1.61 1.39 3.13 3.67 1.68 3.64 0.00 2.49
time (sec) N/A 1.225 0.638 0.230 2.668 0.918 34.025 0.000 7.669
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 587 757 762 1943 2279 1084 0 874 1883
normalized size 1 1.29 1.30 3.31 3.88 1.85 0.00 1.49 3.21
time (sec) N/A 1.394 0.936 0.343 3.443 1.027 0.000 3.181 10.546
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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.197 0.162 0.796 0.000 0.570 0.000 0.000 0.000
Problem 138 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.101 0.116 0.632 0.000 0.920 0.000 0.000 0.000
Problem 139 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.073 0.071 0.822 0.000 0.744 0.000 0.000 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 94 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 0.087 0.075 0.875 0.000 0.913 0.000 0.000 0.000
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 152 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 0.081 0.959 0.000 0.823 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.215 0.467 0.764 0.000 0.732 0.000 0.000 0.000
Problem 143 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.114 0.345 0.754 0.000 0.835 0.000 0.000 0.000
Problem 144 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.081 0.144 0.737 0.000 0.819 0.000 0.000 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 150 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 0.179 1.046 0.000 1.435 0.000 0.000 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 266 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 0.082 0.348 1.317 0.000 0.917 0.000 0.000 0.000
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B B F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 183 364 2374 671 563 0 497 936
normalized size 1 1.07 2.13 13.88 3.92 3.29 0.00 2.91 5.47
time (sec) N/A 0.183 0.806 0.779 1.468 0.773 0.000 11.526 4.564
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 154 273 1840 467 417 0 355 520
normalized size 1 1.08 1.92 12.96 3.29 2.94 0.00 2.50 3.66
time (sec) N/A 0.135 0.486 0.513 1.402 0.573 0.000 3.824 4.486
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 125 194 1325 294 282 0 235 262
normalized size 1 1.11 1.72 11.73 2.60 2.50 0.00 2.08 2.32
time (sec) N/A 0.121 0.287 0.467 1.268 0.956 0.000 1.382 4.239
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 96 126 817 154 163 0 127 127
normalized size 1 1.14 1.50 9.73 1.83 1.94 0.00 1.51 1.51
time (sec) N/A 0.091 0.149 0.427 1.233 1.112 0.000 0.584 4.283
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 87 129 523 0 0 0 0 -1
normalized size 1 1.10 1.63 6.62 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.268 0.098 1.244 0.000 0.990 0.000 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 72 89 823 116 107 0 108 97
normalized size 1 0.74 0.92 8.48 1.20 1.10 0.00 1.11 1.00
time (sec) N/A 0.084 0.085 0.402 1.195 2.045 0.000 0.196 4.909
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 149 121 1379 230 296 0 239 192
normalized size 1 1.09 0.88 10.07 1.68 2.16 0.00 1.74 1.40
time (sec) N/A 0.154 0.311 0.487 1.376 0.555 0.000 0.217 4.663
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 178 143 1976 400 540 0 448 317
normalized size 1 1.07 0.86 11.90 2.41 3.25 0.00 2.70 1.91
time (sec) N/A 0.170 0.377 0.585 1.289 0.606 0.000 0.230 4.912
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 207 165 2583 618 820 0 710 555
normalized size 1 1.06 0.85 13.25 3.17 4.21 0.00 3.64 2.85
time (sec) N/A 0.193 0.358 0.670 1.381 1.521 0.000 0.247 5.334
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 542 1709 26948 1871 0 0 0 -1
normalized size 1 1.68 5.31 83.69 5.81 0.00 0.00 0.00 -0.00
time (sec) N/A 0.772 1.799 3.550 7.070 1.035 0.000 0.000 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 427 1149 19969 1284 0 0 0 -1
normalized size 1 1.62 4.37 75.93 4.88 0.00 0.00 0.00 -0.00
time (sec) N/A 0.626 1.062 2.841 7.047 0.522 0.000 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 308 656 10210 779 0 0 0 -1
normalized size 1 1.58 3.36 52.36 3.99 0.00 0.00 0.00 -0.01
time (sec) N/A 0.486 0.731 2.093 6.912 0.571 0.000 0.000 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 227 269 0 0 0 0 0 -1
normalized size 1 1.73 2.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.504 0.190 2.572 0.000 0.777 0.000 0.000 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 189 236 10098 449 339 0 0 200
normalized size 1 1.47 1.83 78.28 3.48 2.63 0.00 0.00 1.55
time (sec) N/A 0.182 0.372 2.253 1.531 0.842 0.000 0.000 5.269
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 411 332 17300 899 919 0 0 444
normalized size 1 1.50 1.21 63.14 3.28 3.35 0.00 0.00 1.62
time (sec) N/A 0.423 0.523 3.360 1.848 0.774 0.000 0.000 5.316
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 427 730 432 25057 1500 1635 0 0 911
normalized size 1 1.71 1.01 58.68 3.51 3.83 0.00 0.00 2.13
time (sec) N/A 1.212 0.726 4.703 2.435 1.158 0.000 0.000 6.842
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 587 843 1011 33370 2238 2458 0 0 1579
normalized size 1 1.44 1.72 56.85 3.81 4.19 0.00 0.00 2.69
time (sec) N/A 1.408 0.954 5.845 2.996 0.837 0.000 0.000 9.607
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 809 1203 9054 0 0 0 0 0 -1
normalized size 1 1.49 11.19 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.404 10.008 8.023 0.000 0.845 0.000 0.000 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 614 915 5668 0 0 0 0 0 -1
normalized size 1 1.49 9.23 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.737 4.216 7.008 0.000 0.930 0.000 0.000 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 700 3813 0 0 0 0 0 -1
normalized size 1 1.86 10.14 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.183 3.088 10.047 0.000 0.815 0.000 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 424 2513 0 0 0 0 0 -1
normalized size 1 2.28 13.51 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.851 0.986 3.339 0.000 0.731 0.000 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 360 524 69354 1129 825 0 0 474
normalized size 1 1.96 2.85 376.92 6.14 4.48 0.00 0.00 2.58
time (sec) N/A 0.315 0.788 20.955 2.161 0.921 0.000 0.000 6.060
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 390 811 693 120138 2246 2244 0 0 966
normalized size 1 2.08 1.78 308.05 5.76 5.75 0.00 0.00 2.48
time (sec) N/A 0.804 1.184 32.817 2.762 0.731 0.000 0.000 8.988
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 611 1876 1003 175812 3630 4008 0 0 2069
normalized size 1 3.07 1.64 287.74 5.94 6.56 0.00 0.00 3.39
time (sec) N/A 3.432 1.503 48.030 4.174 1.112 0.000 0.000 10.731
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 830 2173 1370 236754 5280 6057 0 0 4257
normalized size 1 2.62 1.65 285.25 6.36 7.30 0.00 0.00 5.13
time (sec) N/A 4.675 2.218 58.078 5.793 1.617 0.000 0.000 11.290
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 96 0 0 0 0 62 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.65 0.00 0.00 -0.01
time (sec) N/A 0.100 0.087 4.518 0.000 0.606 0.000 0.000 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 142 2930 619 433 969 5960 1008
normalized size 1 1.00 0.79 16.28 3.44 2.41 5.38 33.11 5.60
time (sec) N/A 0.124 0.103 0.145 1.259 0.849 6.523 1.533 4.863
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 120 2191 436 320 706 4137 566
normalized size 1 1.00 0.81 14.70 2.93 2.15 4.74 27.77 3.80
time (sec) N/A 0.101 0.081 0.138 1.305 1.119 4.345 1.192 4.692
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 99 1537 278 223 491 2640 290
normalized size 1 1.00 0.84 13.03 2.36 1.89 4.16 22.37 2.46
time (sec) N/A 0.081 0.052 0.191 1.163 0.830 2.910 0.887 4.572
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 69 951 143 127 253 1395 126
normalized size 1 1.00 0.85 11.74 1.77 1.57 3.12 17.22 1.56
time (sec) N/A 0.055 0.038 0.139 1.119 0.956 1.917 0.670 4.310
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 122 95 419 0 0 0 0 -1
normalized size 1 1.51 1.17 5.17 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.211 0.043 0.056 0.000 0.775 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 101 86 520 134 87 231 126 106
normalized size 1 1.58 1.34 8.12 2.09 1.36 3.61 1.97 1.66
time (sec) N/A 0.077 0.054 0.046 1.071 1.729 1.539 0.902 5.006
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 128 753 255 221 422 254 208
normalized size 1 1.00 0.89 5.23 1.77 1.53 2.93 1.76 1.44
time (sec) N/A 0.104 0.095 0.051 1.280 1.697 2.684 0.861 5.195
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 141 1012 428 412 656 382 339
normalized size 1 1.00 0.81 5.78 2.45 2.35 3.75 2.18 1.94
time (sec) N/A 0.131 0.141 0.050 1.372 1.119 4.061 1.057 5.875
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 166 1306 647 637 944 511 578
normalized size 1 1.00 0.81 6.34 3.14 3.09 4.58 2.48 2.81
time (sec) N/A 0.149 0.192 0.055 1.515 0.922 5.534 1.388 6.623
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 503 557 512 0 2395 0 0 0 -1
normalized size 1 1.11 1.02 0.00 4.76 0.00 0.00 0.00 -0.00
time (sec) N/A 0.818 0.506 2.199 2.528 0.627 0.000 0.000 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 420 474 392 0 1735 0 0 0 -1
normalized size 1 1.13 0.93 0.00 4.13 0.00 0.00 0.00 -0.00
time (sec) N/A 0.648 0.346 1.980 2.160 0.706 0.000 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 389 290 0 1172 0 0 0 -1
normalized size 1 1.16 0.87 0.00 3.50 0.00 0.00 0.00 -0.00
time (sec) N/A 0.556 0.238 1.814 2.086 1.020 0.000 0.000 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 284 203 0 619 0 0 0 -1
normalized size 1 1.41 1.00 0.00 3.06 0.00 0.00 0.00 -0.00
time (sec) N/A 0.418 0.180 1.526 1.969 0.660 0.000 0.000 0.000
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 719 251 906 0 0 0 0 -1
normalized size 1 5.62 1.96 7.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 4.423 0.286 0.057 0.000 0.689 0.000 0.000 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 470 314 1251 416 154 430 188 223
normalized size 1 3.07 2.05 8.18 2.72 1.01 2.81 1.23 1.46
time (sec) N/A 0.762 0.476 0.050 1.254 0.670 3.749 1.555 6.379
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 578 444 1934 847 373 892 493 507
normalized size 1 1.95 1.50 6.53 2.86 1.26 3.01 1.67 1.71
time (sec) N/A 0.910 0.437 0.051 1.517 0.817 6.554 2.193 6.002
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 680 585 2758 1420 680 1544 760 1064
normalized size 1 1.70 1.47 6.91 3.56 1.70 3.87 1.90 2.67
time (sec) N/A 1.074 0.685 0.051 2.172 2.026 34.712 2.742 7.703
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 498 763 748 3717 2122 1045 0 1029 1880
normalized size 1 1.53 1.50 7.46 4.26 2.10 0.00 2.07 3.78
time (sec) N/A 1.264 0.920 0.052 2.908 0.604 0.000 2.337 10.940
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.196 0.601 1.171 0.000 0.764 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 F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.101 0.247 0.932 0.000 2.548 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 A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.073 0.246 1.096 0.000 0.998 0.000 0.000 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A A F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 53 0 50 69 0 50 0 0 -1
normalized size 1 0.00 0.94 1.30 0.00 0.94 0.00 0.00 -0.02
time (sec) N/A 0.086 0.068 0.533 0.000 0.916 0.000 0.000 0.000
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F A F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 109 0 89 0 0 129 0 0 -1
normalized size 1 0.00 0.82 0.00 0.00 1.18 0.00 0.00 -0.01
time (sec) N/A 0.072 0.162 1.149 0.000 0.865 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 F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.206 1.398 1.066 0.000 2.135 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 A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.106 0.970 1.122 0.000 0.807 0.000 0.000 0.000
Problem 198 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.079 0.523 0.976 0.000 0.637 0.000 0.000 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A B F B F A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 104 0 88 258 0 208 0 152 -1
normalized size 1 0.00 0.85 2.48 0.00 2.00 0.00 1.46 -0.01
time (sec) N/A 0.089 0.119 0.452 0.000 0.571 0.000 1.341 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) B F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 159 0 135 0 0 584 0 317 -1
normalized size 1 0.00 0.85 0.00 0.00 3.67 0.00 1.99 -0.01
time (sec) N/A 0.080 0.415 1.493 0.000 0.535 0.000 1.827 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 144 1030 882 457 998 493 1024
normalized size 1 1.00 0.79 5.66 4.85 2.51 5.48 2.71 5.63
time (sec) N/A 0.118 0.101 0.132 1.397 0.705 6.699 77.997 4.789
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 122 788 645 343 707 364 567
normalized size 1 1.00 0.81 5.22 4.27 2.27 4.68 2.41 3.75
time (sec) N/A 0.098 0.075 0.066 1.306 0.530 4.354 18.855 4.853
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 98 569 436 245 517 248 296
normalized size 1 1.00 0.82 4.74 3.63 2.04 4.31 2.07 2.47
time (sec) N/A 0.078 0.051 0.066 1.511 0.604 3.125 3.510 4.646
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 72 340 250 149 250 128 120
normalized size 1 1.00 0.92 4.36 3.21 1.91 3.21 1.64 1.54
time (sec) N/A 0.052 0.038 0.064 1.442 0.639 1.924 0.900 4.380
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 121 87 265 0 0 0 0 -1
normalized size 1 1.46 1.05 3.19 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.292 0.038 0.064 0.000 2.562 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 105 89 212 187 110 253 188 108
normalized size 1 1.03 0.87 2.08 1.83 1.08 2.48 1.84 1.06
time (sec) N/A 0.076 0.052 0.054 1.078 0.492 1.641 0.400 5.943
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 128 300 306 240 418 259 206
normalized size 1 1.00 0.92 2.16 2.20 1.73 3.01 1.86 1.48
time (sec) N/A 0.101 0.092 0.056 1.155 0.647 2.600 0.344 5.928
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 140 427 480 432 677 473 341
normalized size 1 1.00 0.79 2.41 2.71 2.44 3.82 2.67 1.93
time (sec) N/A 0.121 0.104 0.055 1.223 0.800 4.056 0.328 6.733
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 162 587 699 658 947 416 579
normalized size 1 1.00 0.78 2.82 3.36 3.16 4.55 2.00 2.78
time (sec) N/A 0.143 0.169 0.059 1.377 1.511 5.685 0.687 7.897
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 515 569 524 0 2660 0 0 0 -1
normalized size 1 1.10 1.02 0.00 5.17 0.00 0.00 0.00 -0.00
time (sec) N/A 0.864 0.468 1.359 2.597 0.710 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 422 469 402 0 1950 0 0 0 -1
normalized size 1 1.11 0.95 0.00 4.62 0.00 0.00 0.00 -0.00
time (sec) N/A 0.741 0.323 1.237 2.597 0.645 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 397 298 0 1333 0 0 0 -1
normalized size 1 1.16 0.87 0.00 3.89 0.00 0.00 0.00 -0.00
time (sec) N/A 0.625 0.225 1.146 1.699 2.203 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 291 195 0 730 0 0 0 -1
normalized size 1 1.38 0.92 0.00 3.46 0.00 0.00 0.00 -0.00
time (sec) N/A 0.504 0.172 0.925 2.086 0.543 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 740 257 0 0 0 0 0 -1
normalized size 1 5.61 1.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 4.080 0.335 1.000 0.000 1.434 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 480 322 452 573 200 450 374 227
normalized size 1 3.06 2.05 2.88 3.65 1.27 2.87 2.38 1.45
time (sec) N/A 0.924 0.461 0.063 1.160 0.744 3.803 1.279 6.489
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 578 452 664 1001 413 877 0 504
normalized size 1 1.93 1.51 2.22 3.35 1.38 2.93 0.00 1.69
time (sec) N/A 1.081 0.458 0.064 1.482 1.043 6.647 0.000 6.707
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 692 598 947 1576 721 1561 0 1069
normalized size 1 1.70 1.47 2.33 3.87 1.77 3.84 0.00 2.63
time (sec) N/A 1.228 0.760 0.067 1.895 0.665 35.552 0.000 9.083
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 501 758 762 1285 2278 1088 0 868 1882
normalized size 1 1.51 1.52 2.56 4.55 2.17 0.00 1.73 3.76
time (sec) N/A 1.429 0.873 0.073 2.508 0.818 0.000 2.225 12.108
Problem 219 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.202 0.159 0.798 0.000 0.702 0.000 0.000 0.000
Problem 220 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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.101 0.118 0.653 0.000 0.742 0.000 0.000 0.000
Problem 221 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.073 0.073 0.829 0.000 0.618 0.000 0.000 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 91 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 0.087 0.078 0.872 0.000 0.649 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 151 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 0.082 0.978 0.000 1.925 0.000 0.000 0.000
Problem 224 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.212 0.469 0.763 0.000 0.766 0.000 0.000 0.000
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 35 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.110 0.348 0.759 0.000 0.527 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 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.082 0.146 0.757 0.000 0.811 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 147 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 0.093 0.186 1.048 0.000 0.725 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 206 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 0.085 0.354 1.322 0.000 0.712 0.000 0.000 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 96 0 0 0 0 62 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.65 0.00 0.00 -0.01
time (sec) N/A 0.102 0.064 0.035 0.000 0.747 0.000 0.000 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 355 339 279 14719 593 636 1436 0 1392
normalized size 1 0.95 0.79 41.46 1.67 1.79 4.05 0.00 3.92
time (sec) N/A 0.557 0.588 0.287 0.823 1.597 26.354 0.000 5.342
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 215 8605 415 445 998 11299 741
normalized size 1 1.00 0.95 37.91 1.83 1.96 4.40 49.78 3.26
time (sec) N/A 0.341 0.266 0.174 0.976 0.947 13.268 3.229 4.689
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 142 4406 262 280 658 5950 356
normalized size 1 1.00 0.95 29.37 1.75 1.87 4.39 39.67 2.37
time (sec) N/A 0.169 0.131 0.161 0.636 0.884 6.544 1.958 4.730
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 114 1809 140 150 318 2355 144
normalized size 1 1.00 1.05 16.60 1.28 1.38 2.92 21.61 1.32
time (sec) N/A 0.098 0.110 0.143 0.906 0.691 3.006 1.063 4.241
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 418 54 56 83 427 47
normalized size 1 1.00 1.00 8.04 1.04 1.08 1.60 8.21 0.90
time (sec) N/A 0.027 0.008 0.129 0.617 1.323 0.999 0.521 4.118
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 115 1400 0 0 0 0 -1
normalized size 1 1.00 0.82 10.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.247 0.060 0.201 0.000 1.884 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 113 105 926 138 255 0 1537 166
normalized size 1 1.30 1.21 10.64 1.59 2.93 0.00 17.67 1.91
time (sec) N/A 0.106 0.130 0.131 0.767 10.904 0.000 1.106 5.169
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 169 5274 351 1017 0 7600 417
normalized size 1 1.00 0.92 28.82 1.92 5.56 0.00 41.53 2.28
time (sec) N/A 0.185 0.505 0.158 0.991 139.536 0.000 2.088 7.208
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 260 18285 848 0 0 0 1154
normalized size 1 1.00 0.95 66.49 3.08 0.00 0.00 0.00 4.20
time (sec) N/A 0.396 0.716 0.184 1.285 0.000 0.000 0.000 10.670
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 379 379 355 44893 1757 0 0 0 2518
normalized size 1 1.00 0.94 118.45 4.64 0.00 0.00 0.00 6.64
time (sec) N/A 0.618 0.931 0.386 1.989 0.000 0.000 0.000 16.223
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 874 994 733 0 2140 0 0 0 -1
normalized size 1 1.14 0.84 0.00 2.45 0.00 0.00 0.00 -0.00
time (sec) N/A 1.744 0.979 2.581 1.907 1.869 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 532 649 486 0 1300 0 0 0 -1
normalized size 1 1.22 0.91 0.00 2.44 0.00 0.00 0.00 -0.00
time (sec) N/A 1.094 0.531 2.096 2.044 0.825 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 444 346 0 673 0 0 0 -1
normalized size 1 1.64 1.28 0.00 2.49 0.00 0.00 0.00 -0.00
time (sec) N/A 0.820 0.352 1.668 1.915 1.120 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 246 214 0 0 0 0 0 -1
normalized size 1 1.97 1.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.637 0.206 1.519 0.000 1.172 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 1998 431 2428 0 0 0 0 -1
normalized size 1 7.21 1.56 8.77 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.900 0.850 0.082 0.000 1.080 0.000 0.000 0.000
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 612 402 0 0 0 0 0 -1
normalized size 1 3.12 2.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 1.119 0.579 1.795 0.000 0.811 0.000 0.000 0.000
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 883 595 0 0 0 0 0 -1
normalized size 1 2.39 1.61 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.481 1.535 2.731 0.000 0.904 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 714 1356 894 0 0 0 0 0 -1
normalized size 1 1.90 1.25 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.381 3.182 4.238 0.000 1.162 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1159 1881 1448 0 0 0 0 0 -1
normalized size 1 1.62 1.25 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.403 7.419 6.982 0.000 1.210 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 34 30 46 32 29 20 103 28
normalized size 1 0.97 0.86 1.31 0.91 0.83 0.57 2.94 0.80
time (sec) N/A 0.014 0.006 0.102 0.478 0.999 0.152 0.415 0.186
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.168 0.429 1.149 0.000 0.750 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.090 0.252 0.987 0.000 0.903 0.000 0.000 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.014 0.023 0.921 0.000 0.975 0.000 0.000 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.065 0.897 1.306 0.000 0.893 0.000 0.000 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.065 0.880 1.190 0.000 0.754 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.061 8.146 1.260 0.000 0.771 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.184 1.366 1.111 0.000 0.888 0.000 0.000 0.000
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.100 0.947 1.039 0.000 1.002 0.000 0.000 0.000
Problem 258 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 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.014 0.587 1.081 0.000 0.576 0.000 0.000 0.000
Problem 259 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 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.070 2.603 1.367 0.000 0.817 0.000 0.000 0.000
Problem 260 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 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.075 3.931 1.496 0.000 0.862 0.000 0.000 0.000
Problem 261 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 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.070 30.006 1.795 0.000 0.895 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 341 282 2438 855 660 1477 0 1403
normalized size 1 0.96 0.79 6.83 2.39 1.85 4.14 0.00 3.93
time (sec) N/A 0.501 0.598 0.146 1.173 2.350 26.589 0.000 5.333
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 217 1783 623 468 998 447 743
normalized size 1 1.00 0.95 7.79 2.72 2.04 4.36 1.95 3.24
time (sec) N/A 0.324 0.257 0.089 1.055 1.309 12.639 167.452 5.032
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 142 1188 419 301 692 279 362
normalized size 1 1.00 0.93 7.82 2.76 1.98 4.55 1.84 2.38
time (sec) N/A 0.161 0.138 0.081 0.795 0.993 6.812 12.579 4.786
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 118 656 246 174 314 145 133
normalized size 1 1.00 1.13 6.31 2.37 1.67 3.02 1.39 1.28
time (sec) N/A 0.087 0.107 0.075 0.758 0.868 2.791 1.106 4.500
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 233 57 80 104 83 50
normalized size 1 1.00 1.00 4.31 1.06 1.48 1.93 1.54 0.93
time (sec) N/A 0.027 0.024 0.063 0.634 0.867 1.074 0.259 4.289
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 119 1143 0 0 0 0 -1
normalized size 1 1.00 0.83 7.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.309 0.061 0.148 0.000 0.919 0.000 0.000 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 117 108 388 192 279 0 0 191
normalized size 1 1.30 1.20 4.31 2.13 3.10 0.00 0.00 2.12
time (sec) N/A 0.092 0.134 0.092 0.700 10.606 0.000 0.000 5.339
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 172 1554 405 1036 0 495 412
normalized size 1 1.00 0.98 8.88 2.31 5.92 0.00 2.83 2.35
time (sec) N/A 0.170 0.547 0.191 1.052 151.718 0.000 0.771 7.448
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 263 4421 900 0 0 1391 1147
normalized size 1 1.00 0.95 15.96 3.25 0.00 0.00 5.02 4.14
time (sec) N/A 0.327 0.738 0.295 1.725 0.000 0.000 3.668 11.577
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F(-1) F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 358 10401 1809 0 0 0 2520
normalized size 1 1.00 0.94 27.30 4.75 0.00 0.00 0.00 6.61
time (sec) N/A 0.553 0.967 0.446 2.000 0.000 0.000 0.000 17.435
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 869 973 746 0 2351 0 0 0 -1
normalized size 1 1.12 0.86 0.00 2.71 0.00 0.00 0.00 -0.00
time (sec) N/A 1.808 0.998 1.348 1.959 1.076 0.000 0.000 0.000
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 542 659 497 0 1458 0 0 0 -1
normalized size 1 1.22 0.92 0.00 2.69 0.00 0.00 0.00 -0.00
time (sec) N/A 1.199 0.546 1.236 1.770 1.097 0.000 0.000 0.000
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 450 351 0 786 0 0 0 -1
normalized size 1 1.60 1.25 0.00 2.80 0.00 0.00 0.00 -0.00
time (sec) N/A 0.959 0.305 1.013 1.551 0.744 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(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 252 220 0 0 0 0 0 -1
normalized size 1 1.95 1.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.774 0.173 0.885 0.000 0.765 0.000 0.000 0.000
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 285 2126 0 0 0 0 0 0 -1
normalized size 1 7.46 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.846 2.302 1.064 0.000 0.798 0.000 0.000 0.000
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 620 409 0 0 0 0 0 -1
normalized size 1 3.10 2.04 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.301 0.588 1.260 0.000 1.464 0.000 0.000 0.000
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 899 603 0 0 0 0 0 -1
normalized size 1 2.36 1.58 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.644 1.576 1.751 0.000 0.869 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(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 724 1369 909 0 0 0 0 0 -1
normalized size 1 1.89 1.26 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.540 3.370 2.707 0.000 0.981 0.000 0.000 0.000
Problem 280 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 1154 1854 1453 0 0 0 0 0 -1
normalized size 1 1.61 1.26 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.543 7.345 4.090 0.000 2.076 0.000 0.000 0.000
Problem 281 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.174 0.180 0.820 0.000 0.852 0.000 0.000 0.000
Problem 282 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 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.092 0.146 0.692 0.000 0.693 0.000 0.000 0.000
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.014 0.042 0.665 0.000 0.872 0.000 0.000 0.000
Problem 284 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.064 0.090 0.845 0.000 0.926 0.000 0.000 0.000
Problem 285 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.068 0.094 0.897 0.000 1.840 0.000 0.000 0.000
Problem 286 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.062 0.096 1.046 0.000 1.538 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.191 0.715 0.775 0.000 1.693 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 32 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.103 0.433 0.769 0.000 2.118 0.000 0.000 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.014 0.232 0.755 0.000 1.041 0.000 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.072 0.498 1.049 0.000 2.102 0.000 0.000 0.000
Problem 291 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.076 0.606 1.329 0.000 0.799 0.000 0.000 0.000
Problem 292 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 34 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.071 0.641 1.918 0.000 1.024 0.000 0.000 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-2) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 377 463 2576 671 805 0 0 1434
normalized size 1 1.03 1.27 7.06 1.84 2.21 0.00 0.00 3.93
time (sec) N/A 0.712 1.009 0.656 0.802 0.856 0.000 0.000 5.132
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-2) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 248 314 1967 467 571 0 0 767
normalized size 1 1.05 1.33 8.33 1.98 2.42 0.00 0.00 3.25
time (sec) N/A 0.456 0.610 0.572 0.659 0.861 0.000 0.000 4.761
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 170 204 1389 294 365 0 298 372
normalized size 1 1.08 1.29 8.79 1.86 2.31 0.00 1.89 2.35
time (sec) N/A 0.240 0.393 0.513 0.940 0.931 0.000 97.810 4.471
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 128 124 839 154 192 0 149 154
normalized size 1 1.10 1.07 7.23 1.33 1.66 0.00 1.28 1.33
time (sec) N/A 0.149 0.194 0.452 0.624 0.811 0.000 7.100 4.393
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 57 123 59 59 0 55 53
normalized size 1 1.00 1.00 2.16 1.04 1.04 0.00 0.96 0.93
time (sec) N/A 0.030 0.013 0.051 0.820 0.904 0.000 0.205 4.111
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 156 150 597 0 0 0 0 -1
normalized size 1 1.05 1.01 4.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.189 0.111 0.454 0.000 0.969 0.000 0.000 0.000
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 132 117 1796 151 250 0 166 141
normalized size 1 1.10 0.98 14.97 1.26 2.08 0.00 1.38 1.18
time (sec) N/A 0.120 0.203 0.526 0.762 11.672 0.000 0.376 4.717
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 203 178 4925 382 1127 0 523 431
normalized size 1 1.06 0.93 25.79 2.00 5.90 0.00 2.74 2.26
time (sec) N/A 0.301 0.617 0.843 0.914 149.493 0.000 0.803 6.349
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 296 273 9645 920 0 0 1512 1183
normalized size 1 1.04 0.96 33.96 3.24 0.00 0.00 5.32 4.17
time (sec) N/A 0.536 1.139 1.191 1.889 0.000 0.000 3.175 9.259
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 401 366 16077 1912 0 0 3293 2570
normalized size 1 1.03 0.94 41.33 4.92 0.00 0.00 8.47 6.61
time (sec) N/A 0.821 1.209 1.728 2.969 0.000 0.000 15.659 14.282
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 570 697 906 22955 1671 0 0 0 -1
normalized size 1 1.22 1.59 40.27 2.93 0.00 0.00 0.00 -0.00
time (sec) N/A 1.294 1.844 4.816 6.789 1.144 0.000 0.000 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 449 472 11007 903 0 0 0 -1
normalized size 1 1.53 1.61 37.44 3.07 0.00 0.00 0.00 -0.00
time (sec) N/A 0.955 0.975 2.711 6.534 0.936 0.000 0.000 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 195 217 4749 0 0 0 0 -1
normalized size 1 1.42 1.58 34.66 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.321 0.157 1.323 0.000 1.310 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 473 1082 0 0 0 0 0 -1
normalized size 1 1.57 3.59 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.815 0.488 2.627 0.000 0.872 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 343 3460 0 0 0 0 0 -1
normalized size 1 1.65 16.63 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.407 1.302 4.454 0.000 1.035 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 968 15406 0 0 0 0 0 -1
normalized size 1 2.46 39.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.631 6.460 1.962 0.000 0.722 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-2) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 875 1640 0 0 0 0 0 0 -1
normalized size 1 1.87 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.481 6.022 8.289 0.000 0.793 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-2) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 466 1030 0 0 0 0 0 0 -1
normalized size 1 2.21 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.112 3.292 8.961 0.000 0.938 0.000 0.000 0.000
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 408 378 0 0 0 0 0 -1
normalized size 1 2.01 1.86 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.590 0.310 4.517 0.000 2.937 0.000 0.000 0.000
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 425 921 0 0 0 0 0 0 -1
normalized size 1 2.17 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.642 1.528 3.758 0.000 1.133 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 302 650 0 0 0 0 0 0 -1
normalized size 1 2.15 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.807 3.128 3.364 0.000 0.817 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 629 2207 0 0 0 0 0 0 -1
normalized size 1 3.51 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.745 6.372 5.694 0.000 1.001 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 [186] had the largest ratio of [.7500]

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 4 3 1.00 33 0.091
2 A 4 3 1.00 33 0.091
3 A 4 3 1.00 33 0.091
4 A 4 3 1.00 31 0.097
5 A 9 8 1.50 33 0.242
6 A 4 3 1.61 33 0.091
7 A 4 3 1.00 33 0.091
8 A 4 3 1.00 33 0.091
9 A 4 3 1.00 33 0.091
10 A 27 13 1.52 35 0.371
11 A 23 13 1.53 35 0.371
12 A 19 13 1.53 35 0.371
13 A 15 12 1.58 33 0.364
14 B 45 23 5.72 35 0.657
15 C 24 11 3.76 35 0.314
16 C 28 11 2.17 35 0.314
17 C 32 11 1.64 35 0.314
18 C 36 11 1.34 35 0.314
19 A 0 0 0.00 0 0.000
20 A 0 0 0.00 0 0.000
21 A 0 0 0.00 0 0.000
22 F 0 0 N/A 0 N/A
23 F 0 0 N/A 0 N/A
24 A 0 0 0.00 0 0.000
25 A 0 0 0.00 0 0.000
26 A 0 0 0.00 0 0.000
27 F 0 0 N/A 0 N/A
28 F 0 0 N/A 0 N/A
29 A 4 3 1.00 33 0.091
30 A 4 3 1.00 33 0.091
31 A 4 3 1.00 33 0.091
32 A 4 3 1.00 31 0.097
33 A 9 8 1.60 33 0.242
34 A 4 3 1.05 33 0.091
35 A 4 3 1.00 33 0.091
36 A 4 3 1.00 33 0.091
37 A 4 3 1.00 33 0.091
38 A 27 13 1.17 35 0.371
39 A 23 13 1.20 35 0.371
40 A 19 13 1.26 35 0.371
41 A 15 12 1.40 33 0.364
42 B 45 23 5.71 35 0.657
43 C 24 11 3.15 35 0.314
44 C 28 11 1.97 35 0.314
45 C 32 11 1.72 35 0.314
46 C 36 11 1.54 35 0.314
47 A 0 0 0.00 0 0.000
48 A 0 0 0.00 0 0.000
49 A 0 0 0.00 0 0.000
50 F 0 0 N/A 0 N/A
51 F 0 0 N/A 0 N/A
52 A 0 0 0.00 0 0.000
53 A 0 0 0.00 0 0.000
54 A 0 0 0.00 0 0.000
55 F 0 0 N/A 0 N/A
56 F 0 0 N/A 0 N/A
57 A 4 3 0.96 30 0.100
58 A 4 3 1.00 30 0.100
59 A 4 3 1.00 30 0.100
60 A 4 3 1.00 28 0.107
61 A 3 2 1.00 22 0.091
62 A 9 5 1.00 30 0.167
63 A 4 3 1.31 30 0.100
64 A 4 3 1.00 30 0.100
65 A 4 3 1.00 30 0.100
66 A 4 3 1.00 30 0.100
67 A 31 13 1.15 32 0.406
68 A 27 13 1.24 32 0.406
69 A 23 12 1.66 30 0.400
70 B 20 10 2.04 24 0.417
71 B 43 21 7.52 32 0.656
72 B 29 10 3.19 32 0.312
73 B 33 11 2.42 32 0.344
74 A 37 11 1.91 32 0.344
75 A 41 11 1.63 32 0.344
76 A 0 0 0.00 0 0.000
77 A 0 0 0.00 0 0.000
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 0 0 0.00 0 0.000
82 A 0 0 0.00 0 0.000
83 A 0 0 0.00 0 0.000
84 A 0 0 0.00 0 0.000
85 A 0 0 0.00 0 0.000
86 A 0 0 0.00 0 0.000
87 A 0 0 0.00 0 0.000
88 A 4 3 1.00 30 0.100
89 A 4 3 1.00 30 0.100
90 A 4 3 1.00 30 0.100
91 A 4 3 1.00 28 0.107
92 A 10 8 1.50 30 0.267
93 A 4 3 1.62 30 0.100
94 A 4 3 1.00 30 0.100
95 A 4 3 1.00 30 0.100
96 A 4 3 1.00 30 0.100
97 A 28 13 1.53 32 0.406
98 A 24 13 1.53 32 0.406
99 A 20 13 1.54 32 0.406
100 A 16 12 1.58 30 0.400
101 B 46 23 5.69 32 0.719
102 C 26 11 3.73 32 0.344
103 C 30 11 2.15 32 0.344
104 C 34 11 1.63 32 0.344
105 C 38 11 1.33 32 0.344
106 A 1 1 1.04 29 0.034
107 A 1 1 1.00 18 0.056
108 A 1 1 1.00 20 0.050
109 A 0 0 0.00 0 0.000
110 A 0 0 0.00 0 0.000
111 A 0 0 0.00 0 0.000
112 F 0 0 N/A 0 N/A
113 F 0 0 N/A 0 N/A
114 A 0 0 0.00 0 0.000
115 A 0 0 0.00 0 0.000
116 A 0 0 0.00 0 0.000
117 F 0 0 N/A 0 N/A
118 F 0 0 N/A 0 N/A
119 A 4 3 1.00 32 0.094
120 A 4 3 1.00 32 0.094
121 A 4 3 1.00 32 0.094
122 A 4 3 1.00 30 0.100
123 A 10 8 1.47 32 0.250
124 A 4 3 1.62 32 0.094
125 A 4 3 1.00 32 0.094
126 A 4 3 1.00 32 0.094
127 A 4 3 1.00 32 0.094
128 A 28 13 1.51 34 0.382
129 A 24 13 1.47 34 0.382
130 A 20 13 1.56 34 0.382
131 A 16 12 1.55 32 0.375
132 B 46 23 5.67 34 0.676
133 C 26 11 3.69 34 0.324
134 C 30 11 2.13 34 0.324
135 C 34 11 1.61 34 0.324
136 C 38 11 1.29 34 0.324
137 A 0 0 0.00 0 0.000
138 A 0 0 0.00 0 0.000
139 A 0 0 0.00 0 0.000
140 F 0 0 N/A 0 N/A
141 F 0 0 N/A 0 N/A
142 A 0 0 0.00 0 0.000
143 A 0 0 0.00 0 0.000
144 A 0 0 0.00 0 0.000
145 F 0 0 N/A 0 N/A
146 F 0 0 N/A 0 N/A
147 A 5 3 1.07 31 0.097
148 A 5 3 1.08 31 0.097
149 A 5 3 1.11 31 0.097
150 A 5 3 1.14 29 0.103
151 A 7 6 1.10 31 0.194
152 A 4 3 0.74 31 0.097
153 A 5 3 1.09 31 0.097
154 A 5 3 1.07 31 0.097
155 A 5 3 1.06 31 0.097
156 A 21 11 1.68 33 0.333
157 A 18 11 1.62 33 0.333
158 A 15 11 1.58 31 0.355
159 A 10 8 1.73 33 0.242
160 A 7 3 1.47 33 0.091
161 A 12 8 1.50 33 0.242
162 C 26 11 1.71 33 0.333
163 C 29 11 1.44 33 0.333
164 A 56 13 1.49 33 0.394
165 A 40 13 1.49 33 0.394
166 A 27 13 1.86 31 0.419
167 B 14 9 2.28 33 0.273
168 A 11 3 1.96 33 0.091
169 B 21 8 2.08 33 0.242
170 C 66 16 3.07 33 0.485
171 C 93 16 2.62 33 0.485
172 F 0 0 N/A 0 N/A
173 A 4 3 1.00 30 0.100
174 A 4 3 1.00 30 0.100
175 A 4 3 1.00 30 0.100
176 A 4 3 1.00 28 0.107
177 A 10 8 1.51 30 0.267
178 A 4 3 1.58 30 0.100
179 A 4 3 1.00 30 0.100
180 A 4 3 1.00 30 0.100
181 A 4 3 1.00 30 0.100
182 A 28 13 1.11 32 0.406
183 A 24 13 1.13 32 0.406
184 A 20 13 1.16 32 0.406
185 A 16 12 1.41 30 0.400
186 B 47 24 5.62 32 0.750
187 C 26 11 3.07 32 0.344
188 C 30 11 1.95 32 0.344
189 C 34 11 1.70 32 0.344
190 C 38 11 1.53 32 0.344
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 F 0 0 N/A 0 N/A
195 F 0 0 N/A 0 N/A
196 A 0 0 0.00 0 0.000
197 A 0 0 0.00 0 0.000
198 A 0 0 0.00 0 0.000
199 F 0 0 N/A 0 N/A
200 F 0 0 N/A 0 N/A
201 A 4 3 1.00 32 0.094
202 A 4 3 1.00 32 0.094
203 A 4 3 1.00 32 0.094
204 A 4 3 1.00 30 0.100
205 A 10 8 1.46 32 0.250
206 A 4 3 1.03 32 0.094
207 A 4 3 1.00 32 0.094
208 A 4 3 1.00 32 0.094
209 A 4 3 1.00 32 0.094
210 A 28 13 1.10 34 0.382
211 A 24 13 1.11 34 0.382
212 A 20 13 1.16 34 0.382
213 A 16 12 1.38 32 0.375
214 B 46 23 5.61 34 0.676
215 C 26 11 3.06 34 0.324
216 C 30 11 1.93 34 0.324
217 C 34 11 1.70 34 0.324
218 C 38 11 1.51 34 0.324
219 A 0 0 0.00 0 0.000
220 A 0 0 0.00 0 0.000
221 A 0 0 0.00 0 0.000
222 F 0 0 N/A 0 N/A
223 F 0 0 N/A 0 N/A
224 A 0 0 0.00 0 0.000
225 A 0 0 0.00 0 0.000
226 A 0 0 0.00 0 0.000
227 F 0 0 N/A 0 N/A
228 F 0 0 N/A 0 N/A
229 F 0 0 N/A 0 N/A
230 A 4 3 0.95 27 0.111
231 A 4 3 1.00 27 0.111
232 A 4 3 1.00 27 0.111
233 A 4 3 1.00 25 0.120
234 A 3 2 1.00 19 0.105
235 A 10 6 1.00 27 0.222
236 A 4 3 1.30 27 0.111
237 A 4 3 1.00 27 0.111
238 A 4 3 1.00 27 0.111
239 A 4 3 1.00 27 0.111
240 A 33 13 1.14 29 0.448
241 A 29 13 1.22 29 0.448
242 A 25 12 1.64 27 0.444
243 A 22 10 1.97 21 0.476
244 B 41 21 7.21 29 0.724
245 B 32 10 3.12 29 0.345
246 B 36 11 2.39 29 0.379
247 A 40 11 1.90 29 0.379
248 A 44 11 1.62 29 0.379
249 A 4 4 0.97 14 0.286
250 A 0 0 0.00 0 0.000
251 A 0 0 0.00 0 0.000
252 A 0 0 0.00 0 0.000
253 A 0 0 0.00 0 0.000
254 A 0 0 0.00 0 0.000
255 A 0 0 0.00 0 0.000
256 A 0 0 0.00 0 0.000
257 A 0 0 0.00 0 0.000
258 A 0 0 0.00 0 0.000
259 A 0 0 0.00 0 0.000
260 A 0 0 0.00 0 0.000
261 A 0 0 0.00 0 0.000
262 A 4 3 0.96 29 0.103
263 A 4 3 1.00 29 0.103
264 A 4 3 1.00 29 0.103
265 A 4 3 1.00 27 0.111
266 A 3 2 1.00 21 0.095
267 A 10 6 1.00 29 0.207
268 A 4 3 1.30 29 0.103
269 A 4 3 1.00 29 0.103
270 A 4 3 1.00 29 0.103
271 A 4 3 1.00 29 0.103
272 A 33 13 1.12 31 0.419
273 A 29 13 1.22 31 0.419
274 A 25 12 1.60 29 0.414
275 A 22 10 1.95 23 0.435
276 B 44 21 7.46 31 0.677
277 B 32 10 3.10 31 0.323
278 B 36 11 2.36 31 0.355
279 A 40 11 1.89 31 0.355
280 A 44 11 1.61 31 0.355
281 A 0 0 0.00 0 0.000
282 A 0 0 0.00 0 0.000
283 A 0 0 0.00 0 0.000
284 A 0 0 0.00 0 0.000
285 A 0 0 0.00 0 0.000
286 A 0 0 0.00 0 0.000
287 A 0 0 0.00 0 0.000
288 A 0 0 0.00 0 0.000
289 A 0 0 0.00 0 0.000
290 A 0 0 0.00 0 0.000
291 A 0 0 0.00 0 0.000
292 A 0 0 0.00 0 0.000
293 A 5 3 1.03 31 0.097
294 A 5 3 1.05 31 0.097
295 A 5 3 1.08 31 0.097
296 A 5 3 1.10 29 0.103
297 A 3 2 1.00 23 0.087
298 A 9 5 1.05 31 0.161
299 A 6 4 1.10 31 0.129
300 A 5 3 1.06 31 0.097
301 A 5 3 1.04 31 0.097
302 A 5 3 1.03 31 0.097
303 A 23 11 1.22 33 0.333
304 A 20 11 1.53 31 0.355
305 A 10 8 1.42 25 0.320
306 A 16 10 1.57 33 0.303
307 A 10 7 1.65 33 0.212
308 B 29 16 2.46 33 0.485
309 A 53 13 1.87 33 0.394
310 B 35 13 2.21 31 0.419
311 B 14 10 2.01 25 0.400
312 B 25 11 2.17 33 0.333
313 B 14 9 2.15 33 0.273
314 B 49 21 3.51 33 0.636

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