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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 192, 194, 195, 196, 198, 199, 202, 204, 205, 206, 207, 208, 209, 213, 214, 215, 216, 218, 219, 223, 224, 225, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 284, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

B grade: { 183, 193, 203 }

C grade: { 190, 191, 197, 210, 211, 212, 217, 220, 221, 222 }

F grade: { 171, 172, 173, 200, 201, 226, 260, 261, 282, 283, 285, 286 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 55, 56, 57, 58, 69, 70, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 101, 102, 103, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 145, 146, 147, 148, 149, 150, 151, 152, 156, 157, 158, 159, 160, 161, 162, 163, 164, 169, 170, 175, 176, 177, 178, 179, 180, 181, 185, 186, 189, 195, 196, 197, 198, 199, 200, 205, 206, 209, 212, 213, 214, 215, 216, 217, 218, 219, 222, 223, 224, 225, 226, 259, 264, 265, 270, 271, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309 }

B grade: { 109, 110, 116, 117, 118, 153, 154, 155, 165, 166, 167, 168, 187, 188, 190, 191, 201, 207, 208, 293, 298 }

C grade: { 15, 16, 17, 26, 27, 139, 142, 210, 211, 220, 221, 311, 312, 313, 314, 315, 316, 317, 319, 320, 321, 322, 323, 324, 325, 331, 335, 336, 337, 338, 339, 340, 341, 343, 344, 345, 346, 347, 348, 349, 355 }

F grade: { 35, 36, 43, 44, 52, 53, 54, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 89, 98, 99, 100, 131, 133, 140, 141, 143, 144, 171, 172, 173, 174, 182, 183, 184, 192, 193, 194, 202, 203, 204, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 310, 318, 326, 327, 328, 329, 330, 332, 333, 334, 342, 350, 351, 352, 353, 354, 356, 357 }

2.1.4 Maxima

A grade: { 1, 2, 3, 12, 13, 14, 23, 24, 25, 33, 38, 39, 40, 41, 42, 51, 55, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 93, 94, 95, 96, 97, 101, 102, 107, 115, 122, 124, 125, 126, 127, 128, 129, 130, 132, 134, 145, 146, 157, 158, 163, 164, 169, 170, 175, 176, 180, 181, 185, 186, 189, 193, 194, 195, 196, 204, 205, 206, 209, 215, 216, 225, 226, 231, 238, 245, 255, 259, 264, 265, 270, 271, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 287, 299, 300, 301, 302, 303, 305, 306, 307, 309, 311, 312, 313, 314, 319, 321, 336, 343, 345 }

B grade: { 37, 82, 187, 188, 192, 202, 203, 207, 208, 335, 337, 338 }

C grade: { 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27, 28, 29, 30, 31, 32, 34, 59, 60, 71, 72, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 123, 135, 136, 137, 138, 153, 154, 155, 156, 165, 166, 167, 168, 197, 198, 199, 212, 213, 214, 217, 218, 219, 222, 223, 224, 227, 228, 229, 230, 232, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 244, 246, 247, 248, 249, 250, 251, 252, 253, 254, 256, 257, 258, 288, 289, 290, 294, 295, 315, 316, 317, 320, 322, 323, 324, 325, 331, 339, 340, 341, 344, 346, 347, 348, 349, 355 }

F grade: { 35, 36, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 56, 81, 89, 90, 91, 92, 98, 99, 100, 131, 133, 139, 140, 141, 142, 143, 144, 147, 148, 149, 150, 151, 152, 159, 160, 161, 162, 171, 172, 173, 174, 177, 178, 179, 182, 183, 184, 190, 191, 200, 201, 210, 211, 220, 221, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 285, 286, 291, 292, 293, 296, 297, 298, 304, 308, 310, 318, 326, 327, 328, 329, 330, 332, 333, 334, 342, 350, 351, 352, 353, 354, 356, 357 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 185, 186, 187, 188, 189, 192, 193, 194, 195, 196, 197, 198, 199, 202, 203, 204, 205, 206, 207, 208, 209, 212, 213, 214, 215, 216, 217, 218, 219, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 237, 238, 245, 246, 247, 248, 255, 256, 259, 264, 265, 270, 271, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 331, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 355 }

B grade: { 36, 44, 81, 89, 184 }

C grade: { 35, 43, 190, 191, 200, 201, 210, 211, 220, 221 }

F grade: { 131, 133, 139, 140, 141, 142, 143, 144, 232, 233, 234, 235, 236, 239, 240, 241, 242, 243, 244, 249, 250, 251, 252, 253, 254, 257, 258, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 326, 327, 328, 329, 330, 332, 333, 350, 351, 352, 353, 354, 356, 357 }

2.1.6 Sympy

A grade: { 1, 2, 3, 9, 12, 13, 14, 23, 24, 25, 29, 31, 33, 34, 37, 38, 39, 40, 41, 42, 46, 47, 48, 49, 50, 51, 55, 56, 57, 58, 69, 70, 82, 83, 84, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 101, 102, 106, 107, 108, 109, 110, 114, 115, 116, 117, 118, 122, 124, 125, 126, 128, 129, 130, 157, 158, 163, 169, 170, 175, 176, 180, 185, 187, 188, 189, 195, 196, 205, 209, 215, 216, 225, 226, 259, 264, 265, 270, 271, 275, 276, 279, 301, 311, 312, 313, 314, 319, 321 }

B grade: { 7, 8, 28, 32, 127 }

C grade: { }

F grade: { 4, 5, 6, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27, 30, 35, 36, 43, 44, 45, 52, 53, 54, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 89, 90, 98, 99, 100, 103, 104, 105, 111, 112, 113, 119, 120, 121, 123, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 159, 160, 161, 162, 164, 165, 166, 167, 168, 171, 172, 173, 174, 177, 178, 179, 181, 182, 183, 184, 186, 190, 191, 192, 193, 194, 197, 198, 199, 200, 201, 202, 203, 204, 206, 207, 208, 210, 211, 212, 213, 214, 217, 218, 219, 220, 221, 222, 223, 224, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 277, 278, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 315, 316, 317, 318, 320, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 12, 13, 14, 15, 23, 24, 25, 26, 33, 34, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 55, 56, 57, 58, 59, 69, 70, 71, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 101, 102, 106, 107, 108, 115, 116, 117, 124, 125, 126, 127, 128, 129, 130, 132, 134, 157, 158, 163, 164, 169, 175, 180, 181, 185, 187, 188, 189, 195, 196, 205, 206, 208, 209, 215, 216, 225, 226, 228, 229, 230, 231, 238, 259, 264, 265, 270, 271, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 291, 296, 299, 300, 301, 302, 303, 305, 306, 307, 308, 309 }

B grade: { 5, 6, 16, 17, 27, 60, 72, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 197, 198, 199, 207, 218, 219, 227, 288, 289, 290, 292, 293, 294, 295, 297, 298 }

C grade: { 7, 8, 9, 18, 19, 20, 28, 29, 31, 32, 153, 154, 155, 156, 165, 166, 167, 168, 212, 213, 214, 235, 236, 237, 239 }

F grade: { 10, 11, 21, 22, 30, 35, 36, 43, 44, 52, 53, 54, 61, 62, 63, 64, 65, 66, 67, 68, 73, 74, 75, 76, 77, 78, 79, 80, 81, 89, 98, 99, 100, 119, 120, 121, 122, 123, 131, 133, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 159, 160, 161, 162, 170, 171, 172, 173, 174, 176, 177, 178, 179, 182, 183, 184, 186, 190, 191, 192, 193, 194, 200, 201, 202, 203, 204, 210, 211, 217, 220, 221, 222, 223, 224, 232, 233, 234, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 304, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

2.1.8 Mupad

A grade: { 38, 39, 40, 41, 42, 46, 47, 48, 49, 50, 51, 55, 56, 83, 84, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 97, 101, 102, 129, 130, 132, 134, 157, 158, 163, 164, 169, 170, 175, 176, 180, 181, 185, 186, 195, 196, 205, 206, 215, 216, 225, 226, 259, 264, 265, 270, 271, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309 }

B grade: { 1, 2, 3, 9, 12, 13, 14, 23, 24, 25, 33, 37, 45, 57, 58, 69, 70, 82, 90, 107, 108, 109, 110, 115, 116, 117, 118, 121, 122, 124, 125, 126, 127, 128, 153, 154, 155, 156, 162, 168, 189, 209, 311, 312, 313, 314, 319, 321 }

C grade: { }

F grade: { 4, 5, 6, 7, 8, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 43, 44, 52, 53, 54, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 89, 98, 99, 100, 103, 104, 105, 106, 111, 112, 113, 114, 119, 120, 123, 131, 133, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 159, 160, 161, 165, 166, 167, 171, 172, 173, 174, 177, 178, 179, 182, 183, 184, 187, 188, 190, 191, 192, 193, 194, 197, 198, 199, 200, 201, 202, 203, 204, 207, 208, 210, 211, 212, 213, 214, 217, 218, 219, 220, 221, 222, 223, 224, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 266, 267, 268, 269, 272, 273, 274, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 310, 315, 316, 317, 318, 320, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 51 62 47 51 65 69 53
normalized size 1 1.00 0.89 1.09 0.82 0.89 1.14 1.21 0.93
time (sec) N/A 0.073 0.088 0.026 0.650 0.741 3.515 0.514 0.192
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 40 37 40 49 61 38
normalized size 1 1.00 1.00 0.91 0.84 0.91 1.11 1.39 0.86
time (sec) N/A 0.043 0.005 0.022 0.892 0.655 1.051 0.418 0.088
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 41 27 21 23 31 26 21
normalized size 1 1.00 1.64 1.08 0.84 0.92 1.24 1.04 0.84
time (sec) N/A 0.021 0.013 0.008 0.485 0.764 0.239 0.714 4.611
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 29 28 50 38 0 32 -1
normalized size 1 1.00 0.94 0.90 1.61 1.23 0.00 1.03 -0.03
time (sec) N/A 0.034 0.047 0.026 1.230 0.642 0.000 0.364 0.000
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 48 47 57 65 0 99 -1
normalized size 1 1.00 0.91 0.89 1.08 1.23 0.00 1.87 -0.02
time (sec) N/A 0.091 0.081 0.024 2.446 0.792 0.000 0.588 0.000
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 86 65 58 85 0 204 -1
normalized size 1 1.00 1.16 0.88 0.78 1.15 0.00 2.76 -0.01
time (sec) N/A 0.125 0.092 0.023 1.003 0.834 0.000 0.519 0.000
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 125 89 92 103 488 165 -1
normalized size 1 1.00 1.03 0.74 0.76 0.85 4.03 1.36 -0.01
time (sec) N/A 0.134 0.255 0.027 0.635 0.820 4.830 0.498 0.000
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 104 68 75 86 223 145 -1
normalized size 1 1.00 1.02 0.67 0.74 0.84 2.19 1.42 -0.01
time (sec) N/A 0.068 0.196 0.028 0.552 0.637 3.777 0.622 0.000
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 61 48 53 67 66 102 56
normalized size 1 1.00 0.82 0.65 0.72 0.91 0.89 1.38 0.76
time (sec) N/A 0.043 0.148 0.020 0.506 0.932 0.545 1.021 4.750
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 91 66 81 78 0 0 -1
normalized size 1 1.00 1.03 0.75 0.92 0.89 0.00 0.00 -0.01
time (sec) N/A 0.074 0.189 0.028 1.555 0.764 0.000 0.000 0.000
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 119 83 82 98 0 0 -1
normalized size 1 1.00 1.04 0.73 0.72 0.86 0.00 0.00 -0.01
time (sec) N/A 0.091 0.227 0.027 1.039 0.650 0.000 0.000 0.000
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 122 140 106 121 209 181 149
normalized size 1 1.00 0.75 0.86 0.65 0.74 1.28 1.11 0.91
time (sec) N/A 0.247 0.394 0.054 0.867 0.704 6.794 0.613 0.393
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 92 93 87 84 136 123 95
normalized size 1 1.00 0.90 0.91 0.85 0.82 1.33 1.21 0.93
time (sec) N/A 0.134 0.230 0.051 0.497 0.714 2.284 0.542 4.699
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 52 62 52 53 95 57 51
normalized size 1 1.00 0.90 1.07 0.90 0.91 1.64 0.98 0.88
time (sec) N/A 0.049 0.128 0.045 1.175 0.882 0.607 0.806 4.675
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 71 157 108 94 0 77 -1
normalized size 1 1.00 0.96 2.12 1.46 1.27 0.00 1.04 -0.01
time (sec) N/A 0.105 0.166 0.587 0.497 0.808 0.000 0.409 0.000
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 116 203 124 147 0 226 -1
normalized size 1 1.00 1.01 1.77 1.08 1.28 0.00 1.97 -0.01
time (sec) N/A 0.221 0.259 0.620 0.491 0.796 0.000 0.488 0.000
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 158 255 129 189 0 448 -1
normalized size 1 1.00 0.93 1.51 0.76 1.12 0.00 2.65 -0.01
time (sec) N/A 0.290 0.468 0.687 0.540 0.602 0.000 0.426 0.000
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 234 189 207 216 0 329 -1
normalized size 1 1.00 0.95 0.77 0.84 0.87 0.00 1.33 -0.00
time (sec) N/A 0.242 0.590 0.059 0.494 0.751 0.000 0.477 0.000
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 191 142 171 176 0 283 -1
normalized size 1 1.00 0.96 0.72 0.86 0.89 0.00 1.43 -0.01
time (sec) N/A 0.157 0.544 0.057 0.495 0.625 0.000 0.558 0.000
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 147 99 129 134 0 195 -1
normalized size 1 1.00 0.96 0.65 0.84 0.88 0.00 1.27 -0.01
time (sec) N/A 0.109 0.328 0.059 0.603 0.834 0.000 1.041 0.000
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 184 137 170 159 0 0 -1
normalized size 1 1.00 0.98 0.73 0.91 0.85 0.00 0.00 -0.01
time (sec) N/A 0.162 0.513 0.058 0.609 0.711 0.000 0.000 0.000
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 226 175 175 206 0 0 -1
normalized size 1 1.00 0.95 0.73 0.73 0.86 0.00 0.00 -0.00
time (sec) N/A 0.197 0.676 0.059 0.631 0.725 0.000 0.000 0.000
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 75 113 79 79 143 122 94
normalized size 1 1.00 0.64 0.97 0.68 0.68 1.22 1.04 0.80
time (sec) N/A 0.130 0.269 0.030 0.348 0.598 10.333 0.350 4.971
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 58 66 60 58 92 60 66
normalized size 1 1.00 0.73 0.84 0.76 0.73 1.16 0.76 0.84
time (sec) N/A 0.074 0.166 0.025 0.339 0.614 3.527 0.513 4.752
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 26 27 26 46 26 28
normalized size 1 1.00 1.00 0.79 0.82 0.79 1.39 0.79 0.85
time (sec) N/A 0.031 0.029 0.082 0.315 0.678 0.941 0.445 4.666
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 51 125 89 63 0 47 -1
normalized size 1 1.00 0.93 2.27 1.62 1.15 0.00 0.85 -0.02
time (sec) N/A 0.095 0.072 0.423 0.470 0.676 0.000 0.371 0.000
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 90 162 100 118 0 186 -1
normalized size 1 1.00 0.99 1.78 1.10 1.30 0.00 2.04 -0.01
time (sec) N/A 0.220 0.135 0.542 0.603 0.793 0.000 0.473 0.000
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 159 132 143 147 439 259 -1
normalized size 1 1.00 0.85 0.70 0.76 0.78 2.34 1.38 -0.01
time (sec) N/A 0.225 0.440 0.033 0.445 0.690 4.791 1.166 0.000
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 117 99 112 120 129 185 -1
normalized size 1 1.00 0.76 0.65 0.73 0.78 0.84 1.21 -0.01
time (sec) N/A 0.082 0.233 0.036 1.189 0.722 1.357 0.925 0.000
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 167 130 151 147 0 0 -1
normalized size 1 1.00 0.99 0.77 0.90 0.88 0.00 0.00 -0.01
time (sec) N/A 0.146 0.431 0.031 0.586 0.562 0.000 0.000 0.000
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 63 58 97 51 116 97 -1
normalized size 1 1.00 0.89 0.82 1.37 0.72 1.63 1.37 -0.01
time (sec) N/A 0.053 0.066 0.036 1.661 0.550 4.105 0.447 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 75 78 117 73 291 125 -1
normalized size 1 1.00 0.89 0.93 1.39 0.87 3.46 1.49 -0.01
time (sec) N/A 0.078 0.150 0.068 0.812 0.851 3.911 0.739 0.000
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 67 50 55 52 95 52 55
normalized size 1 1.00 1.00 0.75 0.82 0.78 1.42 0.78 0.82
time (sec) N/A 0.045 0.044 0.079 0.323 0.570 9.991 0.505 4.988
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 41 39 54 47 51 39 -1
normalized size 1 1.00 0.93 0.89 1.23 1.07 1.16 0.89 -0.02
time (sec) N/A 0.100 0.104 0.050 0.401 0.827 4.684 0.385 0.000
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 362 362 289 0 0 1453 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 4.01 0.00 0.00 -0.00
time (sec) N/A 0.879 0.207 0.093 0.000 0.854 0.000 0.000 0.000
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 188 0 0 1053 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 4.30 0.00 0.00 -0.00
time (sec) N/A 0.514 0.067 0.080 0.000 0.983 0.000 0.000 0.000
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 48 8078 208 192 63 128
normalized size 1 1.00 1.00 1.00 168.29 4.33 4.00 1.31 2.67
time (sec) N/A 0.069 0.085 0.050 36.952 0.699 11.766 0.372 6.633
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.028 0.400 0.076 0.000 0.969 0.000 0.000 0.000
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.027 0.351 0.082 0.000 0.788 0.000 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.029 0.382 0.075 0.000 0.719 0.000 0.000 0.000
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.005 0.024 0.072 0.000 0.657 0.000 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.027 0.253 0.079 0.000 0.810 0.000 0.000 0.000
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) C F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 663 663 513 0 0 2487 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 3.75 0.00 0.00 -0.00
time (sec) N/A 1.302 2.334 1.148 0.000 1.264 0.000 0.000 0.000
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 302 0 0 1517 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 4.68 0.00 0.00 -0.00
time (sec) N/A 0.596 0.956 1.020 0.000 1.170 0.000 0.000 0.000
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-1) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 91 164 0 366 0 144 178
normalized size 1 1.00 1.00 1.80 0.00 4.02 0.00 1.58 1.96
time (sec) N/A 0.102 0.198 0.102 0.000 0.675 0.000 0.430 5.098
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.046 6.558 0.995 0.000 0.926 0.000 0.000 0.000
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.028 8.834 1.214 0.000 0.713 0.000 0.000 0.000
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.027 4.359 0.726 0.000 0.828 0.000 0.000 0.000
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.007 5.063 0.891 0.000 0.784 0.000 0.000 0.000
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.025 7.781 1.095 0.000 0.876 0.000 0.000 0.000
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.027 0.922 0.853 0.000 0.674 0.000 0.000 0.000
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 444 444 373 0 0 321 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.72 0.00 0.00 -0.00
time (sec) N/A 0.480 8.605 0.611 0.000 0.731 0.000 0.000 0.000
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 551 0 0 198 0 0 -1
normalized size 1 1.00 1.97 0.00 0.00 0.71 0.00 0.00 -0.00
time (sec) N/A 0.263 6.583 0.690 0.000 0.786 0.000 0.000 0.000
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 149 0 0 98 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.73 0.00 0.00 -0.01
time (sec) N/A 0.119 1.514 0.256 0.000 0.785 0.000 0.000 0.000
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.028 0.390 0.161 0.000 0.746 0.000 0.000 0.000
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.026 0.911 0.536 0.000 0.731 0.000 0.000 0.000
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 67 37 40 49 61 38
normalized size 1 1.00 1.00 1.52 0.84 0.91 1.11 1.39 0.86
time (sec) N/A 0.052 0.009 0.069 0.328 0.646 3.534 0.363 0.175
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 41 27 21 23 31 26 21
normalized size 1 1.00 1.64 1.08 0.84 0.92 1.24 1.04 0.84
time (sec) N/A 0.027 0.022 0.006 0.320 0.774 0.517 0.440 4.658
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 29 0 50 38 0 32 -1
normalized size 1 1.00 0.94 0.00 1.61 1.23 0.00 1.03 -0.03
time (sec) N/A 0.039 0.051 0.102 0.430 0.704 0.000 0.407 0.000
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 48 0 57 65 0 99 -1
normalized size 1 1.00 0.91 0.00 1.08 1.23 0.00 1.87 -0.02
time (sec) N/A 0.102 0.088 0.135 0.429 0.656 0.000 0.592 0.000
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 124 0 109 70 0 0 -1
normalized size 1 1.00 1.11 0.00 0.97 0.62 0.00 0.00 -0.01
time (sec) N/A 0.085 0.236 0.119 0.579 0.713 0.000 0.000 0.000
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 108 0 93 53 0 0 -1
normalized size 1 1.00 1.19 0.00 1.02 0.58 0.00 0.00 -0.01
time (sec) N/A 0.064 0.128 0.113 0.538 0.780 0.000 0.000 0.000
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 120 0 89 62 0 0 -1
normalized size 1 1.00 1.19 0.00 0.88 0.61 0.00 0.00 -0.01
time (sec) N/A 0.078 0.214 0.126 0.541 0.791 0.000 0.000 0.000
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 143 0 91 83 0 0 -1
normalized size 1 1.00 1.10 0.00 0.70 0.64 0.00 0.00 -0.01
time (sec) N/A 0.102 0.404 0.147 0.566 0.626 0.000 0.000 0.000
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 124 0 110 68 0 0 -1
normalized size 1 1.00 1.17 0.00 1.04 0.64 0.00 0.00 -0.01
time (sec) N/A 0.072 0.193 0.117 0.552 0.723 0.000 0.000 0.000
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 138 0 85 49 0 0 -1
normalized size 1 1.00 1.68 0.00 1.04 0.60 0.00 0.00 -0.01
time (sec) N/A 0.029 0.101 0.116 0.535 0.686 0.000 0.000 0.000
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 120 0 90 66 0 0 -1
normalized size 1 1.00 1.19 0.00 0.89 0.65 0.00 0.00 -0.01
time (sec) N/A 0.055 0.191 0.130 0.524 0.732 0.000 0.000 0.000
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 146 0 91 83 0 0 -1
normalized size 1 1.00 1.16 0.00 0.72 0.66 0.00 0.00 -0.01
time (sec) N/A 0.071 0.457 0.155 0.544 0.853 0.000 0.000 0.000
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 92 137 87 84 143 123 95
normalized size 1 1.00 0.86 1.28 0.81 0.79 1.34 1.15 0.89
time (sec) N/A 0.133 0.291 0.282 0.340 0.730 6.355 0.359 0.266
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 62 52 53 99 57 51
normalized size 1 1.00 0.87 1.03 0.87 0.88 1.65 0.95 0.85
time (sec) N/A 0.057 0.156 0.053 0.323 0.636 1.092 0.486 4.717
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 71 0 108 95 0 79 -1
normalized size 1 1.00 0.89 0.00 1.35 1.19 0.00 0.99 -0.01
time (sec) N/A 0.093 0.168 0.586 0.484 0.730 0.000 0.749 0.000
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 116 0 124 147 0 226 -1
normalized size 1 1.00 0.95 0.00 1.02 1.20 0.00 1.85 -0.01
time (sec) N/A 0.219 0.275 0.666 0.484 0.665 0.000 1.240 0.000
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 249 249 339 0 239 150 0 0 -1
normalized size 1 1.00 1.36 0.00 0.96 0.60 0.00 0.00 -0.00
time (sec) N/A 0.206 0.630 0.512 0.578 0.700 0.000 0.000 0.000
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 283 0 199 107 0 0 -1
normalized size 1 1.00 1.47 0.00 1.03 0.55 0.00 0.00 -0.01
time (sec) N/A 0.136 0.364 0.515 0.570 0.857 0.000 0.000 0.000
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 229 332 0 187 131 0 0 -1
normalized size 1 0.99 1.44 0.00 0.81 0.57 0.00 0.00 -0.00
time (sec) N/A 0.189 0.591 0.628 0.581 0.639 0.000 0.000 0.000
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 283 292 0 198 180 0 0 -1
normalized size 1 0.99 1.02 0.00 0.69 0.63 0.00 0.00 -0.00
time (sec) N/A 0.236 2.532 0.732 0.598 0.670 0.000 0.000 0.000
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 339 0 240 146 0 0 -1
normalized size 1 1.00 1.43 0.00 1.01 0.62 0.00 0.00 -0.00
time (sec) N/A 0.150 0.579 0.489 0.582 0.929 0.000 0.000 0.000
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 281 0 192 105 0 0 -1
normalized size 1 1.00 1.54 0.00 1.05 0.57 0.00 0.00 -0.01
time (sec) N/A 0.075 0.270 0.365 0.566 0.885 0.000 0.000 0.000
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 225 332 0 188 139 0 0 -1
normalized size 1 0.99 1.46 0.00 0.83 0.61 0.00 0.00 -0.00
time (sec) N/A 0.134 0.556 0.642 0.594 0.852 0.000 0.000 0.000
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 275 294 0 197 181 0 0 -1
normalized size 1 0.99 1.06 0.00 0.71 0.65 0.00 0.00 -0.00
time (sec) N/A 0.183 2.457 0.644 0.590 0.764 0.000 0.000 0.000
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 188 0 0 1053 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 4.30 0.00 0.00 -0.00
time (sec) N/A 0.503 0.167 0.099 0.000 1.078 0.000 0.000 0.000
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 51 49 8078 208 202 64 136
normalized size 1 1.00 1.00 0.96 158.39 4.08 3.96 1.25 2.67
time (sec) N/A 0.078 0.118 0.050 30.565 0.555 18.162 0.483 6.516
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 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.026 0.437 0.079 0.000 0.638 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 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.026 0.459 0.086 0.000 0.799 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 A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.015 0.609 0.076 0.000 0.595 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 A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.026 0.325 0.086 0.000 0.791 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 A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.005 0.025 0.071 0.000 0.734 0.000 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.026 0.374 0.079 0.000 0.726 0.000 0.000 0.000
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 302 0 0 1517 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 4.68 0.00 0.00 -0.00
time (sec) N/A 0.593 0.984 1.336 0.000 1.230 0.000 0.000 0.000
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-1) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 91 167 0 366 0 146 186
normalized size 1 1.00 0.97 1.78 0.00 3.89 0.00 1.55 1.98
time (sec) N/A 0.109 0.207 0.098 0.000 0.617 0.000 1.887 4.949
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.025 11.042 1.092 0.000 0.706 0.000 0.000 0.000
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.025 13.372 1.149 0.000 0.679 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.015 7.316 1.000 0.000 0.721 0.000 0.000 0.000
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.024 11.683 1.247 0.000 0.612 0.000 0.000 0.000
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.005 9.125 1.027 0.000 0.710 0.000 0.000 0.000
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.025 12.830 1.096 0.000 0.757 0.000 0.000 0.000
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.025 0.879 0.845 0.000 0.766 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 442 442 373 0 0 345 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.78 0.00 0.00 -0.00
time (sec) N/A 0.414 12.016 0.615 0.000 0.936 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 556 0 0 214 0 0 -1
normalized size 1 1.00 1.95 0.00 0.00 0.75 0.00 0.00 -0.00
time (sec) N/A 0.232 6.672 0.702 0.000 0.706 0.000 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 149 0 0 106 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.79 0.00 0.00 -0.01
time (sec) N/A 0.100 1.588 0.280 0.000 0.704 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.026 0.401 0.166 0.000 0.591 0.000 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.025 1.011 0.542 0.000 0.645 0.000 0.000 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 70 73 86 79 0 400 -1
normalized size 1 1.00 0.90 0.94 1.10 1.01 0.00 5.13 -0.01
time (sec) N/A 0.131 0.082 0.033 0.442 0.552 0.000 0.470 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 57 76 69 0 251 -1
normalized size 1 1.00 0.87 0.95 1.27 1.15 0.00 4.18 -0.02
time (sec) N/A 0.098 0.064 0.032 0.393 0.597 0.000 0.708 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 38 58 45 0 132 -1
normalized size 1 1.00 1.00 1.19 1.81 1.41 0.00 4.12 -0.03
time (sec) N/A 0.072 0.025 0.031 0.380 0.611 0.000 0.458 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 22 43 29 17 42 -1
normalized size 1 1.00 1.00 1.05 2.05 1.38 0.81 2.00 -0.05
time (sec) N/A 0.028 0.052 0.029 0.365 0.641 1.148 0.419 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 14 14 14 12
normalized size 1 1.00 1.00 1.08 1.00 1.17 1.17 1.17 1.00
time (sec) N/A 0.014 0.014 0.009 0.295 0.823 1.212 0.430 4.528
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 42 50 33 29 48 29
normalized size 1 1.00 1.00 1.45 1.72 1.14 1.00 1.66 1.00
time (sec) N/A 0.025 0.004 0.028 0.359 0.499 2.271 1.585 4.539
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 38 95 51 44 46 106 46
normalized size 1 1.00 0.84 2.11 1.13 0.98 1.02 2.36 1.02
time (sec) N/A 0.046 0.059 0.029 0.394 0.700 3.863 1.153 4.631
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 165 50 52 61 191 64
normalized size 1 1.00 1.00 2.70 0.82 0.85 1.00 3.13 1.05
time (sec) N/A 0.068 0.005 0.029 0.420 0.674 6.416 1.146 4.774
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 86 96 99 109 0 442 -1
normalized size 1 1.00 0.89 0.99 1.02 1.12 0.00 4.56 -0.01
time (sec) N/A 0.169 0.177 0.041 0.451 0.804 0.000 1.125 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 65 76 89 90 0 283 -1
normalized size 1 1.00 1.00 1.17 1.37 1.38 0.00 4.35 -0.02
time (sec) N/A 0.104 0.166 0.042 0.389 0.527 0.000 0.373 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 52 66 56 0 153 -1
normalized size 1 1.00 1.00 1.27 1.61 1.37 0.00 3.73 -0.02
time (sec) N/A 0.091 0.089 0.043 0.406 0.701 0.000 0.372 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 32 36 51 39 31 65 -1
normalized size 1 1.00 0.86 0.97 1.38 1.05 0.84 1.76 -0.03
time (sec) N/A 0.050 0.056 0.040 0.426 0.634 2.664 0.563 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 32 34 25 34 262 29 22
normalized size 1 1.00 1.03 1.10 0.81 1.10 8.45 0.94 0.71
time (sec) N/A 0.027 0.056 0.032 0.317 0.616 3.164 0.712 4.571
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 43 97 68 60 391 77 41
normalized size 1 1.00 0.84 1.90 1.33 1.18 7.67 1.51 0.80
time (sec) N/A 0.040 0.086 0.038 0.373 0.614 4.210 0.712 4.615
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 54 197 68 72 654 153 64
normalized size 1 1.00 0.62 2.26 0.78 0.83 7.52 1.76 0.74
time (sec) N/A 0.065 0.134 0.067 0.385 0.696 5.967 0.380 4.698
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 65 334 68 90 726 255 84
normalized size 1 1.00 0.61 3.12 0.64 0.84 6.79 2.38 0.79
time (sec) N/A 0.081 0.196 0.079 0.369 0.496 8.206 0.693 4.720
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 81 59 127 74 0 0 -1
normalized size 1 1.00 1.01 0.74 1.59 0.92 0.00 0.00 -0.01
time (sec) N/A 0.058 0.136 0.029 0.394 0.711 0.000 0.000 0.000
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 43 29 0 0 -1
normalized size 1 1.00 1.00 0.88 1.72 1.16 0.00 0.00 -0.04
time (sec) N/A 0.029 0.048 0.026 0.366 0.786 0.000 0.000 0.000
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 61 47 98 64 0 0 55
normalized size 1 1.00 0.81 0.63 1.31 0.85 0.00 0.00 0.73
time (sec) N/A 0.031 0.102 0.028 0.420 0.655 0.000 0.000 4.801
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 17 20 0 13
normalized size 1 1.00 1.00 0.93 0.87 1.13 1.33 0.00 0.87
time (sec) N/A 0.016 0.014 0.007 0.356 0.714 3.533 0.000 4.671
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 89 65 74 85 0 0 -1
normalized size 1 1.00 0.92 0.67 0.76 0.88 0.00 0.00 -0.01
time (sec) N/A 0.059 0.160 0.030 0.399 0.643 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 8 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 1.00 0.75 0.75
time (sec) N/A 0.009 0.011 0.009 0.311 0.698 0.318 0.508 4.568
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 23 15 15 15 29 15 14
normalized size 1 1.00 1.10 0.71 0.71 0.71 1.38 0.71 0.67
time (sec) N/A 0.020 0.024 0.085 0.302 0.666 0.924 0.356 4.736
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 20 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.73
time (sec) N/A 0.012 0.019 0.021 0.471 0.706 0.304 0.832 4.637
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 41 52 30 37 379 30 34
normalized size 1 1.00 0.59 0.75 0.43 0.54 5.49 0.43 0.49
time (sec) N/A 0.043 0.048 0.059 0.436 0.625 1.324 0.305 4.771
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 62 59 47 51 80 47 58
normalized size 1 1.00 0.71 0.68 0.54 0.59 0.92 0.54 0.67
time (sec) N/A 0.064 0.056 0.118 0.330 0.704 6.107 0.663 4.779
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.020 1.049 1.186 0.000 0.696 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.023 1.456 1.072 0.000 0.763 0.000 0.000 0.000
Problem 131 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 92 92 88 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.102 0.159 1.427 0.000 0.749 0.000 0.000 0.000
Problem 132 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 39 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 0.051 0.935 1.249 0.000 0.705 0.000 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 132 132 148 0 0 0 0 0 -1
normalized size 1 1.00 1.12 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.190 0.464 1.379 0.000 0.708 0.000 0.000 0.000
Problem 134 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 41 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.059 1.298 1.144 0.000 0.856 0.000 0.000 0.000
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 24 91 35 0 0 -1
normalized size 1 1.00 0.92 0.96 3.64 1.40 0.00 0.00 -0.04
time (sec) N/A 0.038 0.067 0.027 1.021 0.663 0.000 0.000 0.000
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 37 45 100 48 0 0 -1
normalized size 1 1.00 0.86 1.05 2.33 1.12 0.00 0.00 -0.02
time (sec) N/A 0.061 0.081 0.041 3.103 0.620 0.000 0.000 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 54 52 180 74 0 0 -1
normalized size 1 1.00 0.81 0.78 2.69 1.10 0.00 0.00 -0.01
time (sec) N/A 0.092 0.112 0.040 3.802 0.896 0.000 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 66 77 188 87 0 0 -1
normalized size 1 1.00 0.84 0.97 2.38 1.10 0.00 0.00 -0.01
time (sec) N/A 0.101 0.116 0.042 1.322 0.899 0.000 0.000 0.000
Problem 139 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 87 87 95 74 0 0 0 0 -1
normalized size 1 1.00 1.09 0.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.027 0.089 0.123 0.000 0.634 0.000 0.000 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 94 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.072 0.234 0.230 0.000 0.568 0.000 0.000 0.000
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 177 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 0.294 0.603 0.000 0.772 0.000 0.000 0.000
Problem 142 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 109 109 118 110 0 0 0 0 -1
normalized size 1 1.00 1.08 1.01 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 0.225 0.152 0.000 0.569 0.000 0.000 0.000
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 129 0 0 0 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.169 0.538 0.234 0.000 0.620 0.000 0.000 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 225 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.238 0.599 0.478 0.000 0.801 0.000 0.000 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 30 44 32 32 0 0 -1
normalized size 1 1.00 0.86 1.26 0.91 0.91 0.00 0.00 -0.03
time (sec) N/A 0.032 0.075 0.026 0.372 0.674 0.000 0.000 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 29 44 29 29 0 0 -1
normalized size 1 1.00 0.85 1.29 0.85 0.85 0.00 0.00 -0.03
time (sec) N/A 0.030 0.070 0.038 0.407 0.771 0.000 0.000 0.000
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 47 44 0 62 0 0 -1
normalized size 1 1.00 1.02 0.96 0.00 1.35 0.00 0.00 -0.02
time (sec) N/A 0.089 0.082 0.034 0.000 0.779 0.000 0.000 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 58 66 0 73 0 0 -1
normalized size 1 1.00 0.87 0.99 0.00 1.09 0.00 0.00 -0.01
time (sec) N/A 0.120 0.139 0.077 0.000 0.587 0.000 0.000 0.000
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 95 99 0 127 0 0 -1
normalized size 1 1.00 0.84 0.88 0.00 1.12 0.00 0.00 -0.01
time (sec) N/A 0.215 0.205 0.052 0.000 0.838 0.000 0.000 0.000
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 68 65 0 90 0 0 -1
normalized size 1 1.00 0.87 0.83 0.00 1.15 0.00 0.00 -0.01
time (sec) N/A 0.111 0.129 0.033 0.000 0.783 0.000 0.000 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 82 89 0 107 0 0 -1
normalized size 1 1.00 0.86 0.94 0.00 1.13 0.00 0.00 -0.01
time (sec) N/A 0.151 0.177 0.068 0.000 0.771 0.000 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 141 144 0 183 0 0 -1
normalized size 1 1.00 0.85 0.87 0.00 1.11 0.00 0.00 -0.01
time (sec) N/A 0.264 0.303 0.053 0.000 0.801 0.000 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 173 586 972 255 0 1023 231
normalized size 1 1.00 0.78 2.63 4.36 1.14 0.00 4.59 1.04
time (sec) N/A 0.312 1.084 0.032 2.275 0.708 0.000 0.730 4.706
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 117 291 564 162 0 669 136
normalized size 1 1.00 0.78 1.94 3.76 1.08 0.00 4.46 0.91
time (sec) N/A 0.164 0.647 0.026 1.613 0.713 0.000 1.110 0.187
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 66 120 271 80 0 367 58
normalized size 1 1.00 0.96 1.74 3.93 1.16 0.00 5.32 0.84
time (sec) N/A 0.073 0.188 0.023 0.857 0.631 0.000 0.931 0.106
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 42 53 45 0 143 41
normalized size 1 1.00 1.00 1.08 1.36 1.15 0.00 3.67 1.05
time (sec) N/A 0.008 0.015 0.021 0.374 0.744 0.000 0.902 0.084
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.012 5.319 0.199 0.000 0.709 0.000 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.012 10.013 0.277 0.000 0.833 0.000 0.000 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 440 365 0 449 0 0 -1
normalized size 1 1.00 1.31 1.08 0.00 1.33 0.00 0.00 -0.00
time (sec) N/A 0.420 0.934 0.033 0.000 0.748 0.000 0.000 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 265 225 0 300 0 0 -1
normalized size 1 1.00 1.14 0.97 0.00 1.29 0.00 0.00 -0.00
time (sec) N/A 0.249 0.508 0.033 0.000 0.815 0.000 0.000 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 95 101 0 155 0 0 -1
normalized size 1 1.00 0.79 0.84 0.00 1.29 0.00 0.00 -0.01
time (sec) N/A 0.128 0.287 0.032 0.000 0.702 0.000 0.000 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 52 0 73 0 0 52
normalized size 1 1.00 1.00 0.87 0.00 1.22 0.00 0.00 0.87
time (sec) N/A 0.034 0.034 0.028 0.000 0.656 0.000 0.000 5.196
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.013 1.559 0.342 0.000 0.538 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.012 19.889 0.604 0.000 0.620 0.000 0.000 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 218 1248 1815 328 0 1073 -1
normalized size 1 1.00 0.64 3.66 5.32 0.96 0.00 3.15 -0.00
time (sec) N/A 0.572 3.032 0.032 3.973 0.680 0.000 0.992 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 151 669 1034 208 0 705 -1
normalized size 1 1.00 0.59 2.61 4.04 0.81 0.00 2.75 -0.00
time (sec) N/A 0.340 1.835 0.034 2.280 0.789 0.000 1.054 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 114 309 481 131 0 389 -1
normalized size 1 1.00 0.93 2.53 3.94 1.07 0.00 3.19 -0.01
time (sec) N/A 0.178 0.604 0.028 1.216 0.669 0.000 0.718 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B C A F C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 67 136 69 89 0 151 95
normalized size 1 1.00 0.81 1.64 0.83 1.07 0.00 1.82 1.14
time (sec) N/A 0.042 0.068 0.026 0.515 0.757 0.000 0.738 0.046
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 15.117 0.192 0.000 0.711 0.000 0.000 0.000
Problem 170 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 25.612 0.291 0.000 0.447 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 434 434 0 0 0 425 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.98 0.00 0.00 -0.00
time (sec) N/A 0.444 132.800 0.279 0.000 0.714 0.000 0.000 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 280 280 0 0 0 319 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 1.14 0.00 0.00 -0.00
time (sec) N/A 0.276 53.041 0.218 0.000 0.682 0.000 0.000 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 235 235 0 0 0 225 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.96 0.00 0.00 -0.00
time (sec) N/A 0.192 46.008 0.188 0.000 0.676 0.000 0.000 0.000
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 115 0 0 107 0 0 -1
normalized size 1 1.00 1.07 0.00 0.00 1.00 0.00 0.00 -0.01
time (sec) N/A 0.029 0.020 0.123 0.000 0.613 0.000 0.000 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 63.039 0.174 0.000 0.658 0.000 0.000 0.000
Problem 176 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.012 130.645 0.242 0.000 0.629 0.000 0.000 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 371 467 302 0 430 0 0 -1
normalized size 1 1.00 1.26 0.81 0.00 1.16 0.00 0.00 -0.00
time (sec) N/A 0.479 1.541 0.038 0.000 0.861 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 242 150 0 260 0 0 -1
normalized size 1 1.00 1.22 0.76 0.00 1.31 0.00 0.00 -0.01
time (sec) N/A 0.259 0.794 0.036 0.000 0.831 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 100 80 0 137 0 0 -1
normalized size 1 1.00 0.95 0.76 0.00 1.30 0.00 0.00 -0.01
time (sec) N/A 0.068 0.175 0.040 0.000 0.774 0.000 0.000 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 5.125 0.385 0.000 0.665 0.000 0.000 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.012 25.277 0.521 0.000 0.764 0.000 0.000 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 330 330 405 0 0 488 0 0 -1
normalized size 1 1.00 1.23 0.00 0.00 1.48 0.00 0.00 -0.00
time (sec) N/A 0.300 2.645 0.440 0.000 0.693 0.000 0.000 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 700 0 0 321 0 0 -1
normalized size 1 1.00 2.98 0.00 0.00 1.37 0.00 0.00 -0.00
time (sec) N/A 0.146 2.350 0.385 0.000 0.777 0.000 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 203 0 0 175 0 0 -1
normalized size 1 1.00 1.90 0.00 0.00 1.64 0.00 0.00 -0.01
time (sec) N/A 0.027 0.507 0.213 0.000 0.790 0.000 0.000 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 5.151 0.395 0.000 0.821 0.000 0.000 0.000
Problem 186 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.013 29.671 0.517 0.000 0.864 0.000 0.000 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 410 410 138 1246 1101 196 529 701 -1
normalized size 1 1.00 0.34 3.04 2.69 0.48 1.29 1.71 -0.00
time (sec) N/A 0.399 1.872 0.031 0.407 0.681 2.678 1.161 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 85 366 348 86 221 219 -1
normalized size 1 1.00 0.46 1.98 1.88 0.46 1.19 1.18 -0.01
time (sec) N/A 0.159 0.448 0.027 0.330 0.543 0.765 0.691 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 50 61 62 44 66 44 43
normalized size 1 1.00 0.93 1.13 1.15 0.81 1.22 0.81 0.80
time (sec) N/A 0.028 0.077 0.026 0.329 0.602 0.499 0.437 4.730
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 238 785 0 250 0 0 -1
normalized size 1 1.00 1.00 3.30 0.00 1.05 0.00 0.00 -0.00
time (sec) N/A 0.749 1.551 0.045 0.000 0.873 0.000 0.000 0.000
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 339 339 397 1817 0 416 0 0 -1
normalized size 1 1.00 1.17 5.36 0.00 1.23 0.00 0.00 -0.00
time (sec) N/A 0.983 3.607 0.080 0.000 0.756 0.000 0.000 0.000
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 419 0 694 276 0 0 -1
normalized size 1 1.00 1.10 0.00 1.82 0.72 0.00 0.00 -0.00
time (sec) N/A 0.306 3.249 0.074 1.203 0.692 0.000 0.000 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 705 0 375 185 0 0 -1
normalized size 1 1.00 2.42 0.00 1.29 0.64 0.00 0.00 -0.00
time (sec) N/A 0.200 2.632 0.037 0.978 0.901 0.000 0.000 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 123 0 112 69 0 0 -1
normalized size 1 1.00 1.07 0.00 0.97 0.60 0.00 0.00 -0.01
time (sec) N/A 0.081 0.153 0.025 0.576 0.690 0.000 0.000 0.000
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.013 11.084 0.078 0.000 0.680 0.000 0.000 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.013 13.921 0.072 0.000 0.648 0.000 0.000 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 611 611 557 696 877 459 0 6606 -1
normalized size 1 1.00 0.91 1.14 1.44 0.75 0.00 10.81 -0.00
time (sec) N/A 0.791 2.297 0.084 1.069 0.589 0.000 2.470 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 367 295 407 241 0 2159 -1
normalized size 1 1.00 1.22 0.98 1.35 0.80 0.00 7.17 -0.00
time (sec) N/A 0.393 0.642 0.053 0.717 0.717 0.000 1.774 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 99 84 124 125 0 413 -1
normalized size 1 1.00 1.05 0.89 1.32 1.33 0.00 4.39 -0.01
time (sec) N/A 0.118 0.086 0.039 0.593 0.614 0.000 0.623 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F A F C F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 276 276 0 438 0 320 0 0 -1
normalized size 1 1.00 0.00 1.59 0.00 1.16 0.00 0.00 -0.00
time (sec) N/A 1.203 15.689 0.055 0.000 0.804 0.000 0.000 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F C F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 350 350 0 2724 0 454 0 0 -1
normalized size 1 1.00 0.00 7.78 0.00 1.30 0.00 0.00 -0.00
time (sec) N/A 0.929 180.034 0.089 0.000 0.749 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 390 390 463 0 1003 506 0 0 -1
normalized size 1 1.00 1.19 0.00 2.57 1.30 0.00 0.00 -0.00
time (sec) N/A 0.428 2.283 0.088 1.204 0.821 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 835 0 508 330 0 0 -1
normalized size 1 1.00 3.33 0.00 2.02 1.31 0.00 0.00 -0.00
time (sec) N/A 0.226 2.771 0.066 2.000 0.721 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 166 0 151 144 0 0 -1
normalized size 1 1.00 1.44 0.00 1.31 1.25 0.00 0.00 -0.01
time (sec) N/A 0.082 0.449 0.046 0.604 0.893 0.000 0.000 0.000
Problem 205 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 25 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 13.380 0.080 0.000 0.702 0.000 0.000 0.000
Problem 206 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 25 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 15.897 0.081 0.000 0.807 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 633 633 256 2704 2151 333 0 1558 -1
normalized size 1 1.00 0.40 4.27 3.40 0.53 0.00 2.46 -0.00
time (sec) N/A 0.647 2.655 0.033 0.473 0.639 0.000 2.345 0.000
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 288 288 147 801 681 142 0 454 -1
normalized size 1 1.00 0.51 2.78 2.36 0.49 0.00 1.58 -0.00
time (sec) N/A 0.269 0.646 0.029 0.448 0.667 0.000 0.432 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 65 134 120 58 94 82 69
normalized size 1 1.00 0.76 1.58 1.41 0.68 1.11 0.96 0.81
time (sec) N/A 0.057 0.111 0.027 0.544 0.735 1.419 0.360 4.606
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 396 396 118 327 0 448 0 0 -1
normalized size 1 1.00 0.30 0.83 0.00 1.13 0.00 0.00 -0.00
time (sec) N/A 1.390 1.848 0.056 0.000 0.875 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 555 555 180 1175 0 728 0 0 -1
normalized size 1 1.00 0.32 2.12 0.00 1.31 0.00 0.00 -0.00
time (sec) N/A 2.124 1.189 0.110 0.000 1.219 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 513 513 432 395 559 308 0 777 -1
normalized size 1 1.00 0.84 0.77 1.09 0.60 0.00 1.51 -0.00
time (sec) N/A 0.535 2.414 0.029 0.504 0.979 0.000 0.834 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 213 175 248 159 0 407 -1
normalized size 1 1.00 0.88 0.72 1.02 0.65 0.00 1.67 -0.00
time (sec) N/A 0.264 0.852 0.025 0.366 0.997 0.000 1.643 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 114 86 92 98 0 170 -1
normalized size 1 1.00 0.88 0.66 0.71 0.75 0.00 1.31 -0.01
time (sec) N/A 0.074 0.155 0.024 0.335 0.565 0.000 0.756 0.000
Problem 215 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 25 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 0.013 22.300 0.078 0.000 0.696 0.000 0.000 0.000
Problem 216 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 25 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 0.013 21.102 0.069 0.000 0.625 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 855 855 929 936 1003 653 0 0 -1
normalized size 1 1.00 1.09 1.09 1.17 0.76 0.00 0.00 -0.00
time (sec) N/A 1.051 4.719 0.099 1.924 0.693 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 419 419 540 391 458 299 0 3728 -1
normalized size 1 1.00 1.29 0.93 1.09 0.71 0.00 8.90 -0.00
time (sec) N/A 0.504 0.891 0.053 0.738 0.777 0.000 3.096 0.000
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 133 108 138 139 0 663 -1
normalized size 1 1.00 0.98 0.79 1.01 1.02 0.00 4.88 -0.01
time (sec) N/A 0.162 0.111 0.038 0.464 0.604 0.000 1.381 0.000
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 434 434 170 156 0 554 0 0 -1
normalized size 1 1.00 0.39 0.36 0.00 1.28 0.00 0.00 -0.00
time (sec) N/A 1.920 2.802 0.066 0.000 0.873 0.000 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 566 566 313 1556 0 796 0 0 -1
normalized size 1 1.00 0.55 2.75 0.00 1.41 0.00 0.00 -0.00
time (sec) N/A 2.630 1.272 0.135 0.000 0.932 0.000 0.000 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 630 630 613 452 1258 494 0 0 -1
normalized size 1 1.00 0.97 0.72 2.00 0.78 0.00 0.00 -0.00
time (sec) N/A 0.748 3.102 0.045 1.370 0.909 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 378 225 584 267 0 0 -1
normalized size 1 1.00 1.19 0.71 1.84 0.84 0.00 0.00 -0.00
time (sec) N/A 0.385 1.185 0.041 0.774 0.772 0.000 0.000 0.000
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 146 105 219 143 0 0 -1
normalized size 1 1.00 1.04 0.74 1.55 1.01 0.00 0.00 -0.01
time (sec) N/A 0.112 0.159 0.034 0.486 0.609 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 25 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 0.013 30.159 0.086 0.000 0.782 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A F(-1) A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.014 180.033 0.078 0.000 0.689 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 289 226 0 176 234 0 566 -1
normalized size 1 1.00 0.78 0.00 0.61 0.81 0.00 1.96 -0.00
time (sec) N/A 0.269 0.565 0.082 0.632 1.571 0.000 0.729 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 111 0 193 143 0 310 -1
normalized size 1 1.00 0.55 0.00 0.96 0.71 0.00 1.53 -0.00
time (sec) N/A 0.178 0.296 0.075 0.631 1.803 0.000 1.057 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 97 0 155 128 0 196 -1
normalized size 1 1.00 0.61 0.00 0.97 0.80 0.00 1.22 -0.01
time (sec) N/A 0.138 0.224 0.076 0.617 1.763 0.000 0.954 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 70 0 129 84 0 83 -1
normalized size 1 1.00 0.82 0.00 1.52 0.99 0.00 0.98 -0.01
time (sec) N/A 0.070 0.078 0.074 0.617 1.526 0.000 1.244 0.000
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 0 23 46 0 35 -1
normalized size 1 1.00 1.00 0.00 0.55 1.10 0.00 0.83 -0.02
time (sec) N/A 0.052 0.069 0.083 0.350 0.679 0.000 0.781 0.000
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 85 0 128 0 0 0 -1
normalized size 1 1.00 0.71 0.00 1.07 0.00 0.00 0.00 -0.01
time (sec) N/A 0.146 0.155 0.075 0.617 1.456 0.000 0.000 0.000
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 115 0 129 0 0 0 -1
normalized size 1 1.00 0.66 0.00 0.74 0.00 0.00 0.00 -0.01
time (sec) N/A 0.181 0.199 0.074 0.624 1.401 0.000 0.000 0.000
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 184 0 129 0 0 0 -1
normalized size 1 1.00 0.69 0.00 0.48 0.00 0.00 0.00 -0.00
time (sec) N/A 0.263 0.377 0.076 0.696 1.320 0.000 0.000 0.000
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 175 0 386 0 0 713 -1
normalized size 1 1.00 0.66 0.00 1.45 0.00 0.00 2.67 -0.00
time (sec) N/A 0.273 0.757 0.074 0.783 1.420 0.000 1.087 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 160 0 429 0 0 321 -1
normalized size 1 1.00 0.70 0.00 1.89 0.00 0.00 1.41 -0.00
time (sec) N/A 0.198 0.465 0.075 0.819 1.492 0.000 0.721 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 72 0 129 89 0 265 -1
normalized size 1 1.00 0.81 0.00 1.45 1.00 0.00 2.98 -0.01
time (sec) N/A 0.086 0.060 0.073 1.338 1.561 0.000 1.853 0.000
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 0 23 46 0 52 -1
normalized size 1 1.00 1.00 0.00 0.52 1.05 0.00 1.18 -0.02
time (sec) N/A 0.063 0.070 0.077 0.341 0.571 0.000 0.541 0.000
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 96 0 493 0 0 84 -1
normalized size 1 1.00 0.72 0.00 3.71 0.00 0.00 0.63 -0.01
time (sec) N/A 0.125 0.146 0.074 1.602 1.537 0.000 1.609 0.000
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 133 0 386 0 0 0 -1
normalized size 1 1.00 0.79 0.00 2.30 0.00 0.00 0.00 -0.01
time (sec) N/A 0.163 0.243 0.075 1.343 1.648 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 87 0 128 0 0 0 -1
normalized size 1 1.00 0.69 0.00 1.02 0.00 0.00 0.00 -0.01
time (sec) N/A 0.153 0.161 0.073 0.697 1.244 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 208 0 129 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.52 0.00 0.00 0.00 -0.00
time (sec) N/A 0.242 0.396 0.074 1.780 1.246 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 131 0 172 0 0 0 -1
normalized size 1 1.00 0.78 0.00 1.02 0.00 0.00 0.00 -0.01
time (sec) N/A 0.165 0.185 0.072 0.616 1.422 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 88 0 157 0 0 0 -1
normalized size 1 1.00 0.76 0.00 1.35 0.00 0.00 0.00 -0.01
time (sec) N/A 0.129 0.185 0.072 0.591 1.560 0.000 0.000 0.000
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 42 0 31 64 0 0 -1
normalized size 1 1.00 0.93 0.00 0.69 1.42 0.00 0.00 -0.02
time (sec) N/A 0.047 0.065 0.074 0.342 0.743 0.000 0.000 0.000
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 72 0 170 116 0 0 -1
normalized size 1 1.00 0.79 0.00 1.87 1.27 0.00 0.00 -0.01
time (sec) N/A 0.076 0.089 0.075 0.597 1.591 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 107 0 1390 160 0 0 -1
normalized size 1 1.00 0.62 0.00 8.08 0.93 0.00 0.00 -0.01
time (sec) N/A 0.148 0.168 0.079 2.368 1.975 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 112 0 1965 181 0 0 -1
normalized size 1 1.00 0.52 0.00 9.06 0.83 0.00 0.00 -0.00
time (sec) N/A 0.189 0.295 0.075 3.566 2.121 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 237 0 1119 0 0 0 -1
normalized size 1 1.00 0.79 0.00 3.74 0.00 0.00 0.00 -0.00
time (sec) N/A 0.287 0.903 0.077 2.540 1.521 0.000 0.000 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 228 0 749 0 0 0 -1
normalized size 1 1.00 0.87 0.00 2.86 0.00 0.00 0.00 -0.00
time (sec) N/A 0.228 0.353 0.075 2.048 1.498 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 113 0 129 0 0 0 -1
normalized size 1 1.00 0.67 0.00 0.77 0.00 0.00 0.00 -0.01
time (sec) N/A 0.182 0.307 0.074 0.580 1.397 0.000 0.000 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 90 0 128 0 0 0 -1
normalized size 1 1.00 0.74 0.00 1.05 0.00 0.00 0.00 -0.01
time (sec) N/A 0.145 0.228 0.075 0.658 1.407 0.000 0.000 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 136 0 383 0 0 0 -1
normalized size 1 1.00 0.83 0.00 2.34 0.00 0.00 0.00 -0.01
time (sec) N/A 0.158 0.317 0.080 1.535 1.567 0.000 0.000 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 96 0 487 0 0 0 -1
normalized size 1 1.00 0.68 0.00 3.45 0.00 0.00 0.00 -0.01
time (sec) N/A 0.138 0.160 0.083 1.119 1.657 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 44 0 31 64 0 0 -1
normalized size 1 1.00 0.94 0.00 0.66 1.36 0.00 0.00 -0.02
time (sec) N/A 0.066 0.071 0.075 0.335 0.701 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 72 0 129 133 0 0 -1
normalized size 1 1.00 0.76 0.00 1.36 1.40 0.00 0.00 -0.01
time (sec) N/A 0.096 0.106 0.074 0.664 1.609 0.000 0.000 0.000
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 165 0 414 0 0 0 -1
normalized size 1 1.00 0.70 0.00 1.75 0.00 0.00 0.00 -0.00
time (sec) N/A 0.245 0.913 0.075 1.167 1.574 0.000 0.000 0.000
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 192 0 411 0 0 0 -1
normalized size 1 1.00 0.69 0.00 1.48 0.00 0.00 0.00 -0.00
time (sec) N/A 0.265 1.275 0.076 0.830 1.362 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 A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.009 6.180 0.260 0.000 0.592 0.000 0.000 0.000
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 503 503 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.391 12.220 0.063 0.000 0.649 0.000 0.000 0.000
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 369 369 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.249 8.774 0.138 0.000 0.532 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 192 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.131 0.861 0.135 0.000 0.560 0.000 0.000 0.000
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 121 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.029 0.042 0.104 0.000 0.603 0.000 0.000 0.000
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.009 1.923 0.073 0.000 0.578 0.000 0.000 0.000
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.009 1.802 0.129 0.000 0.630 0.000 0.000 0.000
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 519 519 539 0 0 0 0 0 -1
normalized size 1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.534 15.146 0.119 0.000 0.599 0.000 0.000 0.000
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 383 383 403 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.345 10.233 0.177 0.000 0.570 0.000 0.000 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 215 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.192 0.515 0.225 0.000 0.637 0.000 0.000 0.000
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 126 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.260 0.206 0.000 0.602 0.000 0.000 0.000
Problem 270 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 0.018 3.282 0.129 0.000 0.739 0.000 0.000 0.000
Problem 271 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 28 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 0.018 2.891 0.184 0.000 0.700 0.000 0.000 0.000
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 856 856 786 0 0 0 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.966 26.636 0.645 0.000 0.740 0.000 0.000 0.000
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 556 556 552 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.457 16.574 0.706 0.000 0.696 0.000 0.000 0.000
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 381 0 0 0 0 0 -1
normalized size 1 1.00 1.46 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.149 1.734 0.418 0.000 0.795 0.000 0.000 0.000
Problem 275 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 25 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 0.024 3.939 0.891 0.000 0.678 0.000 0.000 0.000
Problem 276 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 25 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 0.026 3.340 0.778 0.000 0.820 0.000 0.000 0.000
Problem 277 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 25 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 0.028 1.506 0.128 0.000 0.651 0.000 0.000 0.000
Problem 278 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.018 1.321 0.160 0.000 0.675 0.000 0.000 0.000
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.006 0.278 0.136 0.000 0.655 0.000 0.000 0.000
Problem 280 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 25 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 0.027 0.727 0.162 0.000 0.790 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 F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.027 0.837 0.106 0.000 0.707 0.000 0.000 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A F(-1) A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.027 180.120 0.679 0.000 0.767 0.000 0.000 0.000
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A F(-1) A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.015 180.084 3.018 0.000 0.699 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 F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.006 11.579 2.103 0.000 0.754 0.000 0.000 0.000
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A F(-1) A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.026 180.080 0.624 0.000 0.554 0.000 0.000 0.000
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A F(-1) A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.026 180.124 0.643 0.000 0.646 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 F(-1) 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 0.024 2.108 1.159 0.000 0.602 0.000 0.000 0.000
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 150 209 258 224 0 1264 -1
normalized size 1 1.00 0.67 0.93 1.15 1.00 0.00 5.64 -0.00
time (sec) N/A 0.457 0.622 0.069 0.551 0.730 0.000 1.550 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 79 115 153 133 0 530 -1
normalized size 1 1.00 0.67 0.97 1.30 1.13 0.00 4.49 -0.01
time (sec) N/A 0.239 0.233 0.057 0.428 0.659 0.000 0.623 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 50 43 65 52 0 137 -1
normalized size 1 1.00 1.32 1.13 1.71 1.37 0.00 3.61 -0.03
time (sec) N/A 0.078 0.033 0.034 0.364 0.640 0.000 0.554 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 103 103 83 142 0 133 0 172 -1
normalized size 1 1.00 0.81 1.38 0.00 1.29 0.00 1.67 -0.01
time (sec) N/A 0.279 0.210 0.056 0.000 0.756 0.000 0.467 0.000
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 85 144 0 164 0 347 -1
normalized size 1 1.00 0.90 1.53 0.00 1.74 0.00 3.69 -0.01
time (sec) N/A 0.222 0.743 0.051 0.000 0.707 0.000 0.576 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 151 527 0 429 0 1502 -1
normalized size 1 1.00 0.65 2.26 0.00 1.84 0.00 6.45 -0.00
time (sec) N/A 0.487 1.894 0.058 0.000 0.750 0.000 0.667 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 252 265 322 300 0 1145 -1
normalized size 1 1.00 0.99 1.04 1.27 1.18 0.00 4.51 -0.00
time (sec) N/A 0.616 0.564 0.099 0.561 0.621 0.000 1.074 0.000
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 105 110 137 130 0 305 -1
normalized size 1 1.00 1.12 1.17 1.46 1.38 0.00 3.24 -0.01
time (sec) N/A 0.226 0.146 0.092 0.432 0.740 0.000 0.793 0.000
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 255 255 195 321 0 288 0 368 -1
normalized size 1 1.00 0.76 1.26 0.00 1.13 0.00 1.44 -0.00
time (sec) N/A 0.663 0.411 0.101 0.000 0.824 0.000 5.027 0.000
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-1) A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 263 308 0 343 0 700 -1
normalized size 1 1.00 1.35 1.58 0.00 1.76 0.00 3.59 -0.01
time (sec) N/A 0.391 1.493 0.086 0.000 0.704 0.000 0.468 0.000
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 470 470 740 1124 0 926 0 3062 -1
normalized size 1 1.00 1.57 2.39 0.00 1.97 0.00 6.51 -0.00
time (sec) N/A 0.957 3.489 0.096 0.000 0.878 0.000 0.623 0.000
Problem 299 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 25 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 0.032 1.068 1.523 0.000 0.675 0.000 0.000 0.000
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.017 0.576 1.429 0.000 0.709 0.000 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.005 0.039 0.231 0.000 0.771 0.000 0.000 0.000
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.017 0.076 0.002 0.000 0.710 0.000 0.000 0.000
Problem 303 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 25 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 0.031 0.148 0.003 0.000 0.639 0.000 0.000 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.030 126.315 5.011 0.000 0.731 0.000 0.000 0.000
Problem 305 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.017 19.401 3.787 0.000 0.558 0.000 0.000 0.000
Problem 306 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 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.005 3.374 3.128 0.000 0.775 0.000 0.000 0.000
Problem 307 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 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.016 2.925 0.003 0.000 0.834 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.030 113.160 0.003 0.000 0.652 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 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 0.028 1.495 0.638 0.000 0.733 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 94 0 0 80 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.70 0.00 0.00 -0.01
time (sec) N/A 0.287 0.117 0.299 0.000 0.765 0.000 0.000 0.000
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 47 151 146 74 143 0 109
normalized size 1 1.00 0.49 1.57 1.52 0.77 1.49 0.00 1.14
time (sec) N/A 0.208 0.204 0.194 1.148 0.602 21.524 0.000 5.706
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 40 133 99 64 117 0 88
normalized size 1 1.00 0.54 1.80 1.34 0.86 1.58 0.00 1.19
time (sec) N/A 0.182 0.228 0.185 1.371 0.677 9.542 0.000 5.489
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 30 117 60 55 76 0 63
normalized size 1 1.00 0.67 2.60 1.33 1.22 1.69 0.00 1.40
time (sec) N/A 0.127 0.135 0.177 0.941 0.666 4.512 0.000 5.139
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 105 31 43 53 0 49
normalized size 1 1.00 1.00 4.20 1.24 1.72 2.12 0.00 1.96
time (sec) N/A 0.018 0.063 0.263 1.221 0.556 1.816 0.000 4.847
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 36 228 42 80 0 0 -1
normalized size 1 1.00 0.65 4.15 0.76 1.45 0.00 0.00 -0.02
time (sec) N/A 0.166 0.053 0.187 1.214 0.788 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 51 155 243 112 0 0 -1
normalized size 1 1.00 0.66 2.01 3.16 1.45 0.00 0.00 -0.01
time (sec) N/A 0.177 0.186 0.203 1.027 0.637 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 69 183 270 140 0 0 -1
normalized size 1 1.00 0.59 1.58 2.33 1.21 0.00 0.00 -0.01
time (sec) N/A 0.206 0.145 0.199 1.007 0.638 0.000 0.000 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 138 0 0 98 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.64 0.00 0.00 -0.01
time (sec) N/A 0.301 0.308 0.342 0.000 0.728 0.000 0.000 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 38 135 32 67 92 0 71
normalized size 1 1.00 0.66 2.33 0.55 1.16 1.59 0.00 1.22
time (sec) N/A 0.181 0.093 0.223 1.004 0.697 23.186 0.000 5.186
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 105 240 73 156 0 0 -1
normalized size 1 1.00 0.68 1.55 0.47 1.01 0.00 0.00 -0.01
time (sec) N/A 0.214 0.271 0.280 0.961 0.601 0.000 0.000 0.000
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 119 16 51 66 0 53
normalized size 1 1.00 1.00 3.84 0.52 1.65 2.13 0.00 1.71
time (sec) N/A 0.104 0.055 0.276 0.955 0.570 4.420 0.000 4.822
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 80 157 51 128 0 0 -1
normalized size 1 1.00 0.68 1.34 0.44 1.09 0.00 0.00 -0.01
time (sec) N/A 0.059 0.123 0.231 1.926 0.768 0.000 0.000 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 47 268 47 94 0 0 -1
normalized size 1 1.00 0.64 3.67 0.64 1.29 0.00 0.00 -0.01
time (sec) N/A 0.121 0.059 0.218 2.928 0.466 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 105 232 76 150 0 0 -1
normalized size 1 1.00 0.78 1.72 0.56 1.11 0.00 0.00 -0.01
time (sec) N/A 0.156 0.281 0.237 2.450 0.709 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 67 214 52 138 0 0 -1
normalized size 1 1.00 0.68 2.18 0.53 1.41 0.00 0.00 -0.01
time (sec) N/A 0.203 0.126 0.229 2.728 0.622 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 142 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.381 0.351 0.493 0.000 0.773 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 129 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.278 0.199 0.253 0.000 0.825 0.000 0.000 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 129 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.266 0.188 0.356 0.000 0.716 0.000 0.000 0.000
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 129 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.186 0.181 0.312 0.000 0.678 0.000 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 119 0 0 0 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.047 0.138 0.284 0.000 0.553 0.000 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 47 280 144 98 0 0 -1
normalized size 1 1.00 0.64 3.84 1.97 1.34 0.00 0.00 -0.01
time (sec) N/A 0.151 0.078 0.342 2.331 0.890 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 110 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.205 0.160 0.355 0.000 0.620 0.000 0.000 0.000
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 114 0 0 0 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.212 0.172 0.251 0.000 0.637 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 142 0 0 112 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.66 0.00 0.00 -0.01
time (sec) N/A 0.301 0.527 0.309 0.000 0.798 0.000 0.000 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 79 208 286 111 0 0 -1
normalized size 1 1.00 0.48 1.26 1.73 0.67 0.00 0.00 -0.01
time (sec) N/A 0.188 0.295 0.196 1.237 0.636 0.000 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 69 190 219 95 0 0 -1
normalized size 1 1.00 0.50 1.37 1.58 0.68 0.00 0.00 -0.01
time (sec) N/A 0.164 0.281 0.182 0.599 0.790 0.000 0.000 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 55 174 162 82 0 0 -1
normalized size 1 1.00 0.70 2.20 2.05 1.04 0.00 0.00 -0.01
time (sec) N/A 0.102 0.176 0.177 0.488 0.592 0.000 0.000 0.000
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 47 158 116 60 0 0 -1
normalized size 1 1.00 0.85 2.87 2.11 1.09 0.00 0.00 -0.02
time (sec) N/A 0.023 0.095 0.273 0.524 0.664 0.000 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 50 283 52 88 0 0 -1
normalized size 1 1.00 0.51 2.86 0.53 0.89 0.00 0.00 -0.01
time (sec) N/A 0.209 0.084 0.188 1.111 0.782 0.000 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 65 211 280 108 0 0 -1
normalized size 1 1.00 0.76 2.45 3.26 1.26 0.00 0.00 -0.01
time (sec) N/A 0.184 0.150 0.202 1.049 0.674 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 85 238 311 142 0 0 -1
normalized size 1 1.00 0.71 2.00 2.61 1.19 0.00 0.00 -0.01
time (sec) N/A 0.230 0.207 0.197 1.677 0.600 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 189 0 0 130 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.62 0.00 0.00 -0.00
time (sec) N/A 0.277 0.893 0.314 0.000 0.668 0.000 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 67 200 47 96 0 0 -1
normalized size 1 1.00 0.74 2.20 0.52 1.05 0.00 0.00 -0.01
time (sec) N/A 0.183 0.233 0.225 0.627 0.891 0.000 0.000 0.000
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 113 309 98 146 0 0 -1
normalized size 1 1.00 0.58 1.58 0.50 0.75 0.00 0.00 -0.01
time (sec) N/A 0.231 0.287 0.270 0.657 0.850 0.000 0.000 0.000
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 55 182 28 72 0 0 -1
normalized size 1 1.00 0.85 2.80 0.43 1.11 0.00 0.00 -0.02
time (sec) N/A 0.100 0.114 0.276 0.971 0.759 0.000 0.000 0.000
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 93 224 76 114 0 0 -1
normalized size 1 1.00 0.63 1.51 0.51 0.77 0.00 0.00 -0.01
time (sec) N/A 0.058 0.102 0.254 0.753 0.770 0.000 0.000 0.000
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 60 331 55 100 0 0 -1
normalized size 1 1.00 0.52 2.88 0.48 0.87 0.00 0.00 -0.01
time (sec) N/A 0.133 0.097 0.224 1.260 0.679 0.000 0.000 0.000
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 107 301 90 127 0 0 -1
normalized size 1 1.00 0.81 2.28 0.68 0.96 0.00 0.00 -0.01
time (sec) N/A 0.148 0.205 0.246 1.070 0.701 0.000 0.000 0.000
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 79 277 64 132 0 0 -1
normalized size 1 1.00 0.49 1.72 0.40 0.82 0.00 0.00 -0.01
time (sec) N/A 0.215 0.148 0.227 1.119 0.701 0.000 0.000 0.000
Problem 350 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 217 217 194 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.365 0.849 0.418 0.000 0.691 0.000 0.000 0.000
Problem 351 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 188 188 161 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.341 0.542 0.271 0.000 0.700 0.000 0.000 0.000
Problem 352 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 188 188 168 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.315 0.561 0.342 0.000 0.640 0.000 0.000 0.000
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 160 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.240 0.558 0.407 0.000 0.578 0.000 0.000 0.000
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 149 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 0.268 0.351 0.000 0.742 0.000 0.000 0.000
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 63 343 153 106 0 0 -1
normalized size 1 1.00 0.52 2.83 1.26 0.88 0.00 0.00 -0.01
time (sec) N/A 0.179 0.142 0.361 1.025 0.734 0.000 0.000 0.000
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 125 0 0 0 0 0 -1
normalized size 1 1.00 0.69 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.275 0.344 0.346 0.000 0.702 0.000 0.000 0.000
Problem 357 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 184 184 129 0 0 0 0 0 -1
normalized size 1 1.00 0.70 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.269 0.358 0.267 0.000 0.735 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 [177] had the largest ratio of [.7000]

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 6 4 1.00 16 0.250
2 A 5 4 1.00 16 0.250
3 A 4 3 1.00 14 0.214
4 A 5 4 1.00 16 0.250
5 A 7 6 1.00 16 0.375
6 A 8 6 1.00 16 0.375
7 A 7 6 1.00 16 0.375
8 A 6 5 1.00 16 0.312
9 A 4 3 1.00 12 0.250
10 A 6 5 1.00 16 0.312
11 A 7 6 1.00 16 0.375
12 A 10 8 1.00 18 0.444
13 A 7 6 1.00 18 0.333
14 A 2 2 1.00 16 0.125
15 A 9 6 1.00 18 0.333
16 A 13 8 1.00 18 0.444
17 A 15 8 1.00 18 0.444
18 A 13 8 1.00 18 0.444
19 A 11 8 1.00 18 0.444
20 A 8 5 1.00 14 0.357
21 A 11 8 1.00 18 0.444
22 A 13 8 1.00 18 0.444
23 A 7 5 1.00 14 0.357
24 A 4 4 1.00 14 0.286
25 A 3 2 1.00 12 0.167
26 A 8 4 1.00 14 0.286
27 A 12 6 1.00 14 0.429
28 A 10 5 1.00 14 0.357
29 A 8 4 1.00 10 0.400
30 A 9 5 1.00 14 0.357
31 A 6 3 1.00 10 0.300
32 A 7 4 1.00 14 0.286
33 A 3 2 1.00 12 0.167
34 A 8 6 1.00 12 0.500
35 A 11 7 1.00 18 0.389
36 A 9 6 1.00 18 0.333
37 A 4 4 1.00 16 0.250
38 A 0 0 0.00 0 0.000
39 A 0 0 0.00 0 0.000
40 A 0 0 0.00 0 0.000
41 A 0 0 0.00 0 0.000
42 A 0 0 0.00 0 0.000
43 A 19 11 1.00 18 0.611
44 A 12 9 1.00 18 0.500
45 A 6 6 1.00 16 0.375
46 A 0 0 0.00 0 0.000
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 A 0 0 0.00 0 0.000
51 A 0 0 0.00 0 0.000
52 A 13 5 1.00 20 0.250
53 A 9 5 1.00 20 0.250
54 A 5 3 1.00 18 0.167
55 A 0 0 0.00 0 0.000
56 A 0 0 0.00 0 0.000
57 A 5 4 1.00 16 0.250
58 A 4 3 1.00 16 0.188
59 A 5 4 1.00 16 0.250
60 A 7 6 1.00 16 0.375
61 A 6 4 1.00 16 0.250
62 A 5 3 1.00 14 0.214
63 A 6 4 1.00 16 0.250
64 A 7 5 1.00 16 0.312
65 A 6 4 1.00 16 0.250
66 A 4 2 1.00 12 0.167
67 A 6 4 1.00 16 0.250
68 A 7 5 1.00 16 0.312
69 A 7 6 1.00 18 0.333
70 A 2 2 1.00 18 0.111
71 A 9 6 1.00 18 0.333
72 A 13 8 1.00 18 0.444
73 A 11 7 1.00 18 0.389
74 A 9 5 1.00 16 0.312
75 A 11 7 0.99 18 0.389
76 A 13 7 0.99 18 0.389
77 A 11 7 1.00 18 0.389
78 A 8 4 1.00 14 0.286
79 A 11 7 0.99 18 0.389
80 A 13 7 0.99 18 0.389
81 A 9 6 1.00 18 0.333
82 A 4 4 1.00 18 0.222
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 0 0 0.00 0 0.000
89 A 12 9 1.00 18 0.500
90 A 6 6 1.00 18 0.333
91 A 0 0 0.00 0 0.000
92 A 0 0 0.00 0 0.000
93 A 0 0 0.00 0 0.000
94 A 0 0 0.00 0 0.000
95 A 0 0 0.00 0 0.000
96 A 0 0 0.00 0 0.000
97 A 0 0 0.00 0 0.000
98 A 13 5 1.00 20 0.250
99 A 9 5 1.00 20 0.250
100 A 5 3 1.00 18 0.167
101 A 0 0 0.00 0 0.000
102 A 0 0 0.00 0 0.000
103 A 7 5 1.00 12 0.417
104 A 6 5 1.00 10 0.500
105 A 5 5 1.00 8 0.625
106 A 3 3 1.00 12 0.250
107 A 2 2 1.00 12 0.167
108 A 3 3 1.00 12 0.250
109 A 4 3 1.00 12 0.250
110 A 5 3 1.00 12 0.250
111 A 9 6 1.00 14 0.429
112 A 8 8 1.00 12 0.667
113 A 6 6 1.00 10 0.600
114 A 5 4 1.00 14 0.286
115 A 3 3 1.00 14 0.214
116 A 3 3 1.00 14 0.214
117 A 5 5 1.00 14 0.357
118 A 5 4 1.00 14 0.286
119 A 5 5 1.00 8 0.625
120 A 3 3 1.00 12 0.250
121 A 4 4 1.00 12 0.333
122 A 2 2 1.00 12 0.167
123 A 5 5 1.00 12 0.417
124 A 2 2 1.00 12 0.167
125 A 3 2 1.00 14 0.143
126 A 3 3 1.00 6 0.500
127 A 5 5 1.00 8 0.625
128 A 7 5 1.00 8 0.625
129 A 0 0 0.00 0 0.000
130 A 0 0 0.00 0 0.000
131 A 3 3 1.00 20 0.150
132 A 0 0 0.00 0 0.000
133 A 5 5 1.00 22 0.227
134 A 0 0 0.00 0 0.000
135 A 3 3 1.00 12 0.250
136 A 5 4 1.00 14 0.286
137 A 8 4 1.00 14 0.286
138 A 8 4 1.00 14 0.286
139 A 3 2 1.00 8 0.250
140 A 5 3 1.00 10 0.300
141 A 8 3 1.00 10 0.300
142 A 3 2 1.00 12 0.167
143 A 5 3 1.00 14 0.214
144 A 8 3 1.00 14 0.214
145 A 3 3 1.00 16 0.188
146 A 3 3 1.00 16 0.188
147 A 5 5 1.00 16 0.312
148 A 7 6 1.00 18 0.333
149 A 12 6 1.00 18 0.333
150 A 6 5 1.00 16 0.312
151 A 8 6 1.00 18 0.333
152 A 14 6 1.00 18 0.333
153 A 10 8 1.00 18 0.444
154 A 7 6 1.00 18 0.333
155 A 5 4 1.00 16 0.250
156 A 1 1 1.00 10 0.100
157 A 0 0 0.00 0 0.000
158 A 0 0 0.00 0 0.000
159 A 16 11 1.00 18 0.611
160 A 12 10 1.00 18 0.556
161 A 8 7 1.00 16 0.438
162 A 3 3 1.00 10 0.300
163 A 0 0 0.00 0 0.000
164 A 0 0 0.00 0 0.000
165 A 14 10 1.00 20 0.500
166 A 11 8 1.00 20 0.400
167 A 7 6 1.00 18 0.333
168 A 3 3 1.00 12 0.250
169 A 0 0 0.00 0 0.000
170 A 0 0 0.00 0 0.000
171 A 14 9 1.00 20 0.450
172 A 10 7 1.00 20 0.350
173 A 8 5 1.00 18 0.278
174 A 3 2 1.00 12 0.167
175 A 0 0 0.00 0 0.000
176 A 0 0 0.00 0 0.000
177 A 18 14 1.00 20 0.700
178 A 12 11 1.00 18 0.611
179 A 5 5 1.00 12 0.417
180 A 0 0 0.00 0 0.000
181 A 0 0 0.00 0 0.000
182 A 13 10 1.00 20 0.500
183 A 8 5 1.00 18 0.278
184 A 3 2 1.00 12 0.167
185 A 0 0 0.00 0 0.000
186 A 0 0 0.00 0 0.000
187 A 14 3 1.00 22 0.136
188 A 8 3 1.00 20 0.150
189 A 3 3 1.00 14 0.214
190 A 8 4 1.00 22 0.182
191 A 10 6 1.00 22 0.273
192 A 12 9 1.00 22 0.409
193 A 9 6 1.00 20 0.300
194 A 4 3 1.00 14 0.214
195 A 0 0 0.00 0 0.000
196 A 0 0 0.00 0 0.000
197 A 23 5 1.00 22 0.227
198 A 14 5 1.00 20 0.250
199 A 6 5 1.00 14 0.357
200 A 13 5 1.00 22 0.227
201 A 10 6 1.00 22 0.273
202 A 14 8 1.00 22 0.364
203 A 8 3 1.00 20 0.150
204 A 4 3 1.00 14 0.214
205 A 0 0 0.00 0 0.000
206 A 0 0 0.00 0 0.000
207 A 20 4 1.00 22 0.182
208 A 11 4 1.00 20 0.200
209 A 4 3 1.00 14 0.214
210 A 11 4 1.00 22 0.182
211 A 13 6 1.00 22 0.273
212 A 17 10 1.00 22 0.454
213 A 10 8 1.00 20 0.400
214 A 5 5 1.00 14 0.357
215 A 0 0 0.00 0 0.000
216 A 0 0 0.00 0 0.000
217 A 29 5 1.00 22 0.227
218 A 17 5 1.00 20 0.250
219 A 7 5 1.00 14 0.357
220 A 16 5 1.00 22 0.227
221 A 13 6 1.00 22 0.273
222 A 24 13 1.00 22 0.591
223 A 15 12 1.00 20 0.600
224 A 7 7 1.00 14 0.500
225 A 0 0 0.00 0 0.000
226 A 0 0 0.00 0 0.000
227 A 9 4 1.00 27 0.148
228 A 7 4 1.00 27 0.148
229 A 6 4 1.00 27 0.148
230 A 4 4 1.00 27 0.148
231 A 3 3 1.00 27 0.111
232 A 6 6 1.00 27 0.222
233 A 7 6 1.00 27 0.222
234 A 9 6 1.00 27 0.222
235 A 9 8 1.00 27 0.296
236 A 8 8 1.00 27 0.296
237 A 5 5 1.00 27 0.185
238 A 4 4 1.00 27 0.148
239 A 6 6 1.00 27 0.222
240 A 7 7 1.00 27 0.259
241 A 7 7 1.00 27 0.259
242 A 9 6 1.00 27 0.222
243 A 7 6 1.00 27 0.222
244 A 6 6 1.00 27 0.222
245 A 3 3 1.00 27 0.111
246 A 4 4 1.00 27 0.148
247 A 6 4 1.00 27 0.148
248 A 7 4 1.00 27 0.148
249 A 11 9 1.00 27 0.333
250 A 10 9 1.00 27 0.333
251 A 8 7 1.00 27 0.259
252 A 7 7 1.00 27 0.259
253 A 8 8 1.00 27 0.296
254 A 6 6 1.00 27 0.222
255 A 4 4 1.00 27 0.148
256 A 5 5 1.00 27 0.185
257 A 9 9 1.00 27 0.333
258 A 10 9 1.00 27 0.333
259 A 0 0 0.00 0 0.000
260 A 14 5 1.00 16 0.312
261 A 11 5 1.00 16 0.312
262 A 8 5 1.00 14 0.357
263 A 3 2 1.00 12 0.167
264 A 0 0 0.00 0 0.000
265 A 0 0 0.00 0 0.000
266 A 16 6 1.00 20 0.300
267 A 13 6 1.00 20 0.300
268 A 10 6 1.00 18 0.333
269 A 4 2 1.00 16 0.125
270 A 0 0 0.00 0 0.000
271 A 0 0 0.00 0 0.000
272 A 28 10 1.00 22 0.454
273 A 19 10 1.00 20 0.500
274 A 8 4 1.00 18 0.222
275 A 0 0 0.00 0 0.000
276 A 0 0 0.00 0 0.000
277 A 0 0 0.00 0 0.000
278 A 0 0 0.00 0 0.000
279 A 0 0 0.00 0 0.000
280 A 0 0 0.00 0 0.000
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 23 6 1.00 20 0.300
289 A 15 6 1.00 18 0.333
290 A 6 5 1.00 12 0.417
291 A 12 6 1.00 20 0.300
292 A 7 6 1.00 20 0.300
293 A 15 6 1.00 20 0.300
294 A 27 11 1.00 20 0.550
295 A 12 8 1.00 14 0.571
296 A 22 6 1.00 22 0.273
297 A 12 8 1.00 22 0.364
298 A 27 11 1.00 22 0.500
299 A 0 0 0.00 0 0.000
300 A 0 0 0.00 0 0.000
301 A 0 0 0.00 0 0.000
302 A 0 0 0.00 0 0.000
303 A 0 0 0.00 0 0.000
304 A 0 0 0.00 0 0.000
305 A 0 0 0.00 0 0.000
306 A 0 0 0.00 0 0.000
307 A 0 0 0.00 0 0.000
308 A 0 0 0.00 0 0.000
309 A 0 0 0.00 0 0.000
310 A 4 3 1.00 18 0.167
311 A 5 3 1.00 18 0.167
312 A 4 3 1.00 18 0.167
313 A 3 3 1.00 16 0.188
314 A 2 2 1.00 14 0.143
315 A 4 4 1.00 18 0.222
316 A 5 5 1.00 18 0.278
317 A 6 5 1.00 18 0.278
318 A 4 3 1.00 20 0.150
319 A 4 4 1.00 20 0.200
320 A 5 5 1.00 20 0.250
321 A 3 3 1.00 18 0.167
322 A 4 4 1.00 16 0.250
323 A 4 4 1.00 20 0.200
324 A 5 5 1.00 20 0.250
325 A 6 6 1.00 20 0.300
326 A 4 3 1.00 20 0.150
327 A 4 3 1.00 20 0.150
328 A 4 3 1.00 20 0.150
329 A 4 3 1.00 18 0.167
330 A 4 3 1.00 16 0.188
331 A 4 4 1.00 20 0.200
332 A 4 3 1.00 20 0.150
333 A 4 3 1.00 20 0.150
334 A 6 4 1.00 18 0.222
335 A 5 4 1.00 18 0.222
336 A 5 5 1.00 18 0.278
337 A 3 3 1.00 16 0.188
338 A 3 3 1.00 14 0.214
339 A 6 5 1.00 18 0.278
340 A 6 6 1.00 18 0.333
341 A 8 7 1.00 18 0.389
342 A 6 4 1.00 20 0.200
343 A 4 4 1.00 20 0.200
344 A 7 6 1.00 20 0.300
345 A 4 4 1.00 18 0.222
346 A 6 5 1.00 16 0.312
347 A 6 5 1.00 20 0.250
348 A 7 7 1.00 20 0.350
349 A 8 7 1.00 20 0.350
350 A 6 4 1.00 20 0.200
351 A 6 4 1.00 20 0.200
352 A 6 4 1.00 20 0.200
353 A 6 4 1.00 18 0.222
354 A 6 4 1.00 16 0.250
355 A 6 5 1.00 20 0.250
356 A 6 4 1.00 20 0.200
357 A 6 4 1.00 20 0.200

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