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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, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { }

C grade: { }

F grade: { 347 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 34, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 68, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 101, 103, 135, 136, 137, 138, 141, 142, 147, 148, 149, 150, 151, 153, 154, 155, 156, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 171, 172, 173, 179, 183, 184, 190, 195, 196, 211, 219, 220, 221, 222, 223, 224, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 271, 272, 273, 274, 275, 276, 277, 278, 279, 282, 283, 284, 285, 288, 289, 290, 291, 292, 296, 297, 301, 302, 303, 304, 309, 310, 311, 318, 319, 324, 325, 326, 333, 335, 336, 340, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 29, 30, 31, 35, 36, 49, 50, 54, 64, 65, 66, 67, 69, 70, 79, 80, 81, 84, 85, 97, 98, 99, 100, 102, 201, 226, 227, 229, 230, 231, 232, 280, 281, 286, 287, 294, 295, 298, 299, 300, 307, 308, 320, 321, 322, 327, 328, 329, 330, 331, 337, 338, 339, 347 }

C grade: { 14, 15, 16, 17, 18, 32, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 131, 133, 134, 139, 140, 143, 144, 145, 146, 152, 157, 158, 169, 170, 174, 175, 176, 177, 178, 180, 181, 182, 185, 186, 187, 188, 189, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 209, 210, 213, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 267, 268, 269, 270, 293, 305, 306, 312, 313, 314, 315, 316, 317, 323, 334, 341, 342, 343 }

F grade: { 127, 128, 129, 130, 132, 208, 212, 214, 215, 216, 217, 218, 225, 228, 250, 251, 252, 253, 254, 255, 332 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 102, 103, 137, 138, 149, 150, 156, 161, 162, 173, 184, 185, 190, 197, 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, 297, 298, 300, 301, 302, 303, 304, 305, 306, 309, 310, 311, 320, 324, 328, 333, 337, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 20, 22, 38, 52, 53, 54, 55, 64, 65, 66, 67, 79, 80, 81, 96, 97, 98, 135, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 152, 153, 154, 155, 157, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 256, 257, 258, 294, 295, 296, 299, 307, 308, 312, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 325, 326, 327, 329, 330, 331, 332, 334, 335, 336, 338, 339, 340, 341, 342, 343 }

C grade: { 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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 }

F grade: { 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, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.4 Maxima

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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 135, 136, 137, 147, 148, 149, 159, 160, 161, 171, 172, 173, 183, 184, 185, 197, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 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, 299, 300, 301, 302, 303, 304, 305, 318, 319, 320, 326, 327, 328, 335, 336, 337, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 64, 65, 66, 67, 79, 80, 81, 96, 97, 98, 99, 195, 196, 306 }

C grade: { }

F grade: { 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 138, 139, 140, 141, 142, 143, 144, 145, 146, 150, 151, 152, 153, 154, 155, 156, 157, 158, 162, 163, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 181, 182, 186, 187, 188, 189, 190, 191, 192, 193, 194, 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, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 294, 295, 296, 297, 298, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 321, 322, 323, 324, 325, 329, 330, 331, 332, 333, 334, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 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, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 153, 154, 155, 157, 158, 159, 160, 161, 162, 165, 166, 167, 169, 170, 171, 172, 176, 177, 178, 179, 180, 181, 182, 183, 184, 189, 190, 191, 192, 193, 194, 195, 201, 202, 203, 204, 205, 206, 207, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 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, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 308, 310, 318, 319, 320, 326, 327, 335, 336, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 9, 13, 17, 18, 28, 46, 150, 151, 152, 156, 163, 164, 168, 173, 174, 175, 185, 186, 187, 188, 196, 197, 198, 199, 200, 266, 293, 298, 305, 306, 307, 309, 311, 321, 322, 328, 329, 330, 337, 338, 339 }

C grade: { }

F grade: { 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, 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, 312, 313, 314, 315, 316, 317, 323, 324, 325, 331, 332, 333, 334, 340, 341, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 19, 20, 21, 22, 23, 37, 38, 39, 40, 41, 60, 75, 90, 91, 256, 257, 258, 259, 271, 272, 273, 274, 275, 290, 348, 349, 350, 351, 352, 358, 359, 360, 363, 364, 365 }

B grade: { }

C grade: { }

F grade: { 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 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, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 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, 353, 354, 355, 356, 357, 361, 362 }

2.1.7 Giac

A grade: { 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 135, 136, 137, 138, 139, 140, 141, 142, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 159, 160, 161, 162, 163, 164, 165, 166, 167, 171, 174, 175, 176, 180, 181, 182, 183, 186, 187, 188, 191, 192, 193, 194, 197, 198, 200, 202, 203, 204, 205, 206, 260, 267, 276, 279, 282, 309, 310, 311, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 1, 2, 3, 4, 5, 6, 7, 13, 20, 21, 22, 23, 25, 38, 39, 40, 41, 42, 43, 44, 57, 58, 59, 66, 67, 71, 72, 73, 81, 87, 88, 89, 143, 144, 145, 156, 157, 158, 168, 169, 170, 172, 173, 177, 178, 179, 184, 185, 189, 190, 195, 196, 199, 201, 256, 257, 258, 259, 261, 262, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274, 275, 277, 278, 280, 281, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 302, 303, 304, 305, 306, 307, 308, 318, 319, 320, 322, 326, 327, 328, 336 }

C grade: { }

F grade: { 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, 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, 300, 312, 313, 314, 315, 316, 317, 321, 323, 324, 325, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.8 Mupad

A grade: { 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B 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, 137, 149, 161, 173, 185, 197, 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, 320, 328, 337 }

C grade: { }

F grade: { 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, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 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, 312, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 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 B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 134 273 116 123 184 293 259
normalized size 1 1.00 0.89 1.81 0.77 0.81 1.22 1.94 1.72
time (sec) N/A 0.072 0.479 0.852 0.803 0.709 21.438 24.072 5.133
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 106 216 94 101 148 247 204
normalized size 1 1.00 0.90 1.83 0.80 0.86 1.25 2.09 1.73
time (sec) N/A 0.062 0.467 0.859 0.350 0.797 8.462 7.977 5.693
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 82 161 72 79 112 201 151
normalized size 1 1.00 0.94 1.85 0.83 0.91 1.29 2.31 1.74
time (sec) N/A 0.049 0.366 0.737 0.609 0.564 3.063 3.088 5.734
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 55 104 50 57 76 155 96
normalized size 1 1.00 0.96 1.82 0.88 1.00 1.33 2.72 1.68
time (sec) N/A 0.039 0.115 0.729 0.483 0.710 0.916 0.955 1.993
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 25 26 34 37 106 40
normalized size 1 1.00 1.00 1.00 1.04 1.36 1.48 4.24 1.60
time (sec) N/A 0.019 0.020 0.282 0.789 0.720 0.260 0.499 1.172
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 29 29 14 16 0 58 34
normalized size 1 1.00 1.81 1.81 0.88 1.00 0.00 3.62 2.12
time (sec) N/A 0.020 0.025 0.442 0.515 0.671 0.000 0.201 1.239
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 114 60 42 69 0 103 46
normalized size 1 1.00 2.00 1.05 0.74 1.21 0.00 1.81 0.81
time (sec) N/A 0.044 0.783 0.658 0.718 0.612 0.000 0.246 1.275
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 127 93 86 150 0 149 88
normalized size 1 1.00 1.34 0.98 0.91 1.58 0.00 1.57 0.93
time (sec) N/A 0.064 0.544 0.546 0.588 0.615 0.000 0.301 1.178
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 165 124 126 241 0 197 118
normalized size 1 1.00 1.24 0.93 0.95 1.81 0.00 1.48 0.89
time (sec) N/A 0.082 0.415 0.612 0.569 0.616 0.000 0.422 1.227
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 115 227 164 156 0 174 242
normalized size 1 1.00 0.89 1.76 1.27 1.21 0.00 1.35 1.88
time (sec) N/A 0.129 1.894 0.543 0.527 0.758 0.000 12.224 2.469
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 95 178 134 134 0 146 188
normalized size 1 1.00 0.93 1.75 1.31 1.31 0.00 1.43 1.84
time (sec) N/A 0.094 1.247 0.510 0.817 0.695 0.000 8.792 2.383
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 127 102 112 0 118 134
normalized size 1 1.00 1.03 1.74 1.40 1.53 0.00 1.62 1.84
time (sec) N/A 0.062 0.440 0.481 0.894 0.805 0.000 1.543 1.852
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 60 78 65 87 0 88 80
normalized size 1 1.00 1.33 1.73 1.44 1.93 0.00 1.96 1.78
time (sec) N/A 0.034 0.030 0.464 0.687 0.828 0.000 0.902 1.139
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 43 35 31 33 0 26 19
normalized size 1 1.00 1.65 1.35 1.19 1.27 0.00 1.00 0.73
time (sec) N/A 0.024 0.027 0.476 1.222 0.941 0.000 0.231 1.073
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 62 86 59 72 0 56 53
normalized size 1 1.00 1.13 1.56 1.07 1.31 0.00 1.02 0.96
time (sec) N/A 0.052 0.038 0.788 1.159 0.635 0.000 0.516 1.200
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 79 129 79 139 0 83 156
normalized size 1 1.00 0.94 1.54 0.94 1.65 0.00 0.99 1.86
time (sec) N/A 0.081 0.056 0.812 0.620 0.509 0.000 0.305 1.449
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 92 162 100 210 0 113 204
normalized size 1 1.00 0.83 1.46 0.90 1.89 0.00 1.02 1.84
time (sec) N/A 0.114 0.055 0.951 1.029 0.738 0.000 0.345 1.983
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 111 205 119 279 0 140 252
normalized size 1 1.00 0.79 1.46 0.85 1.99 0.00 1.00 1.80
time (sec) N/A 0.145 0.082 0.973 0.823 0.893 0.000 0.507 3.175
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 140 327 149 156 314 342 308
normalized size 1 1.00 0.73 1.70 0.78 0.81 1.64 1.78 1.60
time (sec) N/A 0.099 0.509 0.855 0.320 0.873 33.746 25.568 5.142
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 110 264 110 117 252 292 249
normalized size 1 1.00 0.83 2.00 0.83 0.89 1.91 2.21 1.89
time (sec) N/A 0.079 0.306 0.782 0.427 0.727 14.177 10.996 4.819
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 125 203 97 104 189 242 192
normalized size 1 1.00 1.04 1.69 0.81 0.87 1.58 2.02 1.60
time (sec) N/A 0.073 0.417 0.736 0.697 0.748 5.335 3.347 5.052
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 83 140 58 65 126 192 133
normalized size 1 1.00 1.28 2.15 0.89 1.00 1.94 2.95 2.05
time (sec) N/A 0.056 0.210 0.719 0.355 0.632 1.815 1.427 3.870
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 51 46 43 52 60 142 76
normalized size 1 1.00 1.06 0.96 0.90 1.08 1.25 2.96 1.58
time (sec) N/A 0.036 0.146 0.297 0.318 0.622 0.480 0.394 1.214
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 29 34 31 35 0 64 36
normalized size 1 1.00 0.83 0.97 0.89 1.00 0.00 1.83 1.03
time (sec) N/A 0.040 0.038 0.532 0.392 0.774 0.000 0.257 1.255
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 56 51 34 48 0 111 50
normalized size 1 1.00 1.40 1.28 0.85 1.20 0.00 2.78 1.25
time (sec) N/A 0.050 0.071 0.680 0.529 0.669 0.000 0.444 1.229
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 86 87 72 122 0 138 62
normalized size 1 1.00 1.01 1.02 0.85 1.44 0.00 1.62 0.73
time (sec) N/A 0.067 0.268 0.582 0.644 0.583 0.000 0.560 1.260
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 114 122 109 191 0 186 113
normalized size 1 1.00 0.90 0.96 0.86 1.50 0.00 1.46 0.89
time (sec) N/A 0.087 0.250 0.628 0.560 0.702 0.000 0.424 1.269
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 146 159 165 322 0 238 149
normalized size 1 1.00 0.86 0.94 0.98 1.91 0.00 1.41 0.88
time (sec) N/A 0.111 0.345 0.705 0.454 0.604 0.000 1.377 1.589
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 337 226 151 165 0 180 234
normalized size 1 1.00 2.09 1.40 0.94 1.02 0.00 1.12 1.45
time (sec) N/A 0.179 1.580 0.540 0.666 0.669 0.000 6.010 2.648
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 558 169 119 139 0 148 174
normalized size 1 1.00 4.69 1.42 1.00 1.17 0.00 1.24 1.46
time (sec) N/A 0.139 5.632 0.519 0.637 0.609 0.000 1.816 1.953
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 773 112 83 111 0 99 101
normalized size 1 1.00 10.74 1.56 1.15 1.54 0.00 1.38 1.40
time (sec) N/A 0.109 6.330 0.493 0.820 0.726 0.000 2.329 1.208
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 46 50 48 42 0 31 24
normalized size 1 1.00 1.31 1.43 1.37 1.20 0.00 0.89 0.69
time (sec) N/A 0.072 0.037 0.725 0.576 0.682 0.000 0.248 1.078
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 112 112 77 81 0 50 39
normalized size 1 1.00 1.62 1.62 1.12 1.17 0.00 0.72 0.57
time (sec) N/A 0.111 0.271 0.890 0.717 0.511 0.000 0.434 1.096
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 194 155 97 118 0 80 78
normalized size 1 1.00 1.81 1.45 0.91 1.10 0.00 0.75 0.73
time (sec) N/A 0.128 0.812 1.038 0.543 0.716 0.000 0.348 1.259
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 312 188 117 173 0 112 182
normalized size 1 1.00 2.24 1.35 0.84 1.24 0.00 0.81 1.31
time (sec) N/A 0.141 1.152 1.103 0.834 0.590 0.000 0.392 1.755
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 428 231 137 274 0 145 230
normalized size 1 1.00 2.39 1.29 0.77 1.53 0.00 0.81 1.28
time (sec) N/A 0.155 1.987 1.029 0.757 0.613 0.000 0.434 2.778
Problem 37 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 210 210 214 351 162 169 439 367 337
normalized size 1 1.00 1.02 1.67 0.77 0.80 2.09 1.75 1.60
time (sec) N/A 0.103 0.883 0.868 0.655 0.873 51.795 19.684 5.263
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 110 288 110 117 350 317 278
normalized size 1 1.00 0.80 2.10 0.80 0.85 2.55 2.31 2.03
time (sec) N/A 0.077 0.438 0.806 0.363 0.832 22.571 28.275 5.169
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 140 227 110 117 255 267 221
normalized size 1 1.00 1.01 1.64 0.80 0.85 1.85 1.93 1.60
time (sec) N/A 0.077 0.424 0.792 0.619 0.485 9.008 4.000 5.483
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 92 164 84 91 165 217 162
normalized size 1 1.00 0.93 1.66 0.85 0.92 1.67 2.19 1.64
time (sec) N/A 0.067 0.301 0.784 0.466 0.487 3.239 1.521 5.546
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 64 62 58 65 76 167 105
normalized size 1 1.00 0.97 0.94 0.88 0.98 1.15 2.53 1.59
time (sec) N/A 0.039 0.162 0.304 0.676 0.659 0.923 0.505 1.940
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 36 47 43 61 0 145 86
normalized size 1 1.00 0.75 0.98 0.90 1.27 0.00 3.02 1.79
time (sec) N/A 0.046 0.091 0.514 0.598 0.786 0.000 0.318 1.201
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 46 51 34 50 0 109 48
normalized size 1 1.00 1.15 1.28 0.85 1.25 0.00 2.72 1.20
time (sec) N/A 0.050 0.133 0.728 0.612 0.731 0.000 0.366 1.234
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 72 68 59 82 0 138 78
normalized size 1 1.00 1.18 1.11 0.97 1.34 0.00 2.26 1.28
time (sec) N/A 0.059 0.169 0.617 0.409 0.857 0.000 1.012 1.220
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 102 104 96 178 0 165 94
normalized size 1 1.00 0.95 0.97 0.90 1.66 0.00 1.54 0.88
time (sec) N/A 0.076 0.679 0.625 0.524 1.172 0.000 1.483 1.291
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 130 141 142 272 0 213 130
normalized size 1 1.00 0.87 0.95 0.95 1.83 0.00 1.43 0.87
time (sec) N/A 0.098 0.399 0.750 0.373 0.759 0.000 0.507 1.204
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 363 250 262 178 0 196 263
normalized size 1 1.00 1.53 1.05 1.11 0.75 0.00 0.83 1.11
time (sec) N/A 0.299 2.178 0.585 0.822 0.824 0.000 5.201 2.429
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 303 193 210 152 0 164 203
normalized size 1 1.00 1.79 1.14 1.24 0.90 0.00 0.97 1.20
time (sec) N/A 0.224 1.292 0.568 0.455 0.822 0.000 2.588 2.439
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 230 137 147 113 0 132 146
normalized size 1 1.00 2.35 1.40 1.50 1.15 0.00 1.35 1.49
time (sec) N/A 0.158 0.849 0.544 0.452 0.559 0.000 1.045 1.909
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 109 68 85 84 0 66 35
normalized size 1 1.00 2.22 1.39 1.73 1.71 0.00 1.35 0.71
time (sec) N/A 0.097 0.229 0.833 0.434 0.732 0.000 0.333 1.200
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 112 125 90 82 0 50 39
normalized size 1 1.00 1.62 1.81 1.30 1.19 0.00 0.72 0.57
time (sec) N/A 0.132 0.241 0.854 0.431 0.750 0.000 0.319 1.198
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 112 232 122 118 0 66 62
normalized size 1 1.00 1.05 2.17 1.14 1.10 0.00 0.62 0.58
time (sec) N/A 0.164 0.674 1.066 0.437 0.749 0.000 0.364 1.446
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 252 293 152 160 0 96 91
normalized size 1 1.00 1.79 2.08 1.08 1.13 0.00 0.68 0.65
time (sec) N/A 0.178 0.983 1.183 0.450 0.486 0.000 0.499 1.700
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 370 364 182 235 0 128 206
normalized size 1 1.00 2.07 2.03 1.02 1.31 0.00 0.72 1.15
time (sec) N/A 0.199 1.415 1.204 0.454 0.549 0.000 0.534 1.944
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 268 425 212 314 0 161 254
normalized size 1 1.00 1.26 2.00 1.00 1.47 0.00 0.76 1.19
time (sec) N/A 0.221 6.047 1.273 0.442 0.523 0.000 0.652 3.032
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 137 125 90 95 0 245 208
normalized size 1 1.00 1.01 0.93 0.67 0.70 0.00 1.81 1.54
time (sec) N/A 0.078 0.562 0.626 0.319 0.503 0.000 17.820 5.142
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 103 93 70 75 0 201 153
normalized size 1 1.00 1.06 0.96 0.72 0.77 0.00 2.07 1.58
time (sec) N/A 0.068 0.273 0.558 0.326 0.499 0.000 6.786 6.021
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 65 62 50 55 0 157 99
normalized size 1 1.00 0.98 0.94 0.76 0.83 0.00 2.38 1.50
time (sec) N/A 0.057 0.194 0.536 0.320 0.491 0.000 4.200 2.193
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 21 30 28 33 0 111 44
normalized size 1 1.00 0.75 1.07 1.00 1.18 0.00 3.96 1.57
time (sec) N/A 0.048 0.072 0.313 0.317 0.496 0.000 1.121 1.224
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 19 33 17 19 41 31 21
normalized size 1 1.00 1.12 1.94 1.00 1.12 2.41 1.82 1.24
time (sec) N/A 0.026 0.018 0.115 0.321 0.764 3.805 0.282 1.211
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 67 54 47 60 0 86 49
normalized size 1 1.00 1.10 0.89 0.77 0.98 0.00 1.41 0.80
time (sec) N/A 0.056 0.120 0.613 0.324 0.735 0.000 1.238 1.252
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 107 90 91 139 0 157 76
normalized size 1 1.00 1.04 0.87 0.88 1.35 0.00 1.52 0.74
time (sec) N/A 0.076 0.621 0.805 0.689 0.707 0.000 0.253 1.343
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 135 126 130 217 0 211 132
normalized size 1 1.00 0.93 0.87 0.90 1.50 0.00 1.46 0.91
time (sec) N/A 0.098 0.538 0.690 0.328 0.894 0.000 0.335 1.313
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 301 312 329 127 0 149 193
normalized size 1 1.00 2.87 2.97 3.13 1.21 0.00 1.42 1.84
time (sec) N/A 0.144 0.899 0.538 0.787 0.575 0.000 9.294 2.524
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 78 78 893 228 247 107 0 123 139
normalized size 1 1.00 11.45 2.92 3.17 1.37 0.00 1.58 1.78
time (sec) N/A 0.109 6.450 0.530 0.541 0.807 0.000 4.102 1.997
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 241 144 163 86 0 96 83
normalized size 1 1.00 4.92 2.94 3.33 1.76 0.00 1.96 1.69
time (sec) N/A 0.077 0.878 0.499 0.780 0.615 0.000 2.267 1.287
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 60 59 78 35 0 50 25
normalized size 1 1.00 2.86 2.81 3.71 1.67 0.00 2.38 1.19
time (sec) N/A 0.050 0.094 0.324 0.641 0.828 0.000 0.565 1.108
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 100 74 93 64 0 66 65
normalized size 1 1.00 1.64 1.21 1.52 1.05 0.00 1.08 1.07
time (sec) N/A 0.097 0.799 0.616 0.603 0.490 0.000 0.240 1.293
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 254 113 137 134 0 98 158
normalized size 1 1.00 2.89 1.28 1.56 1.52 0.00 1.11 1.80
time (sec) N/A 0.127 0.901 0.659 0.965 0.458 0.000 0.669 1.434
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 359 150 177 198 0 127 206
normalized size 1 1.00 3.07 1.28 1.51 1.69 0.00 1.09 1.76
time (sec) N/A 0.162 1.097 0.771 0.590 0.466 0.000 0.394 2.036
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 125 110 80 85 0 223 193
normalized size 1 1.00 1.04 0.92 0.67 0.71 0.00 1.86 1.61
time (sec) N/A 0.074 0.526 0.627 0.333 0.500 0.000 26.201 5.181
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 83 63 50 55 0 180 135
normalized size 1 1.00 1.28 0.97 0.77 0.85 0.00 2.77 2.08
time (sec) N/A 0.058 0.200 0.605 0.439 0.486 0.000 8.972 3.869
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 51 46 40 45 0 136 77
normalized size 1 1.00 1.06 0.96 0.83 0.94 0.00 2.83 1.60
time (sec) N/A 0.050 0.123 0.545 0.873 0.475 0.000 8.112 1.350
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 30 34 31 31 0 33 22
normalized size 1 1.00 0.91 1.03 0.94 0.94 0.00 1.00 0.67
time (sec) N/A 0.045 0.068 0.515 0.326 0.465 0.000 0.982 1.388
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 56 50 35 43 177 57 35
normalized size 1 1.00 1.56 1.39 0.97 1.19 4.92 1.58 0.97
time (sec) N/A 0.035 0.133 0.189 0.410 0.483 19.471 0.467 1.130
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 83 72 74 106 0 117 62
normalized size 1 1.00 1.02 0.89 0.91 1.31 0.00 1.44 0.77
time (sec) N/A 0.061 0.191 0.699 0.322 0.492 0.000 0.257 1.263
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 121 108 110 162 0 186 89
normalized size 1 1.00 0.98 0.88 0.89 1.32 0.00 1.51 0.72
time (sec) N/A 0.087 0.393 0.936 0.326 0.538 0.000 0.353 1.366
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 154 144 167 283 0 236 151
normalized size 1 1.00 0.93 0.87 1.01 1.72 0.00 1.43 0.92
time (sec) N/A 0.111 0.820 1.016 0.454 0.605 0.000 0.413 1.245
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 495 269 301 117 0 136 179
normalized size 1 1.00 4.16 2.26 2.53 0.98 0.00 1.14 1.50
time (sec) N/A 0.190 5.905 0.661 0.607 0.760 0.000 13.722 2.258
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 767 185 196 97 0 99 111
normalized size 1 1.00 10.65 2.57 2.72 1.35 0.00 1.38 1.54
time (sec) N/A 0.149 6.306 0.602 0.821 0.763 0.000 4.132 1.389
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 177 102 123 66 0 79 61
normalized size 1 1.00 5.21 3.00 3.62 1.94 0.00 2.32 1.79
time (sec) N/A 0.065 0.523 0.404 0.513 0.571 0.000 2.656 1.192
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 35 42 37 49 42 0 29 22
normalized size 1 1.06 1.27 1.12 1.48 1.27 0.00 0.88 0.67
time (sec) N/A 0.112 0.020 0.476 0.916 0.774 0.000 2.820 1.096
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 149 94 113 106 0 84 78
normalized size 1 1.00 1.39 0.88 1.06 0.99 0.00 0.79 0.73
time (sec) N/A 0.174 1.348 0.703 0.591 0.666 0.000 0.355 1.395
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 314 132 157 154 0 114 182
normalized size 1 1.00 2.26 0.95 1.13 1.11 0.00 0.82 1.31
time (sec) N/A 0.191 1.067 0.825 0.604 0.771 0.000 0.313 1.645
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 802 170 197 250 0 144 230
normalized size 1 1.00 4.48 0.95 1.10 1.40 0.00 0.80 1.28
time (sec) N/A 0.208 6.571 0.852 0.885 0.698 0.000 0.453 2.507
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 140 127 90 95 0 246 225
normalized size 1 1.00 1.02 0.93 0.66 0.69 0.00 1.80 1.64
time (sec) N/A 0.077 0.345 0.799 0.417 0.658 0.000 93.139 5.287
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 93 93 70 75 0 202 167
normalized size 1 1.00 0.94 0.94 0.71 0.76 0.00 2.04 1.69
time (sec) N/A 0.067 0.366 0.648 0.327 0.711 0.000 20.747 5.916
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 64 63 50 55 0 158 109
normalized size 1 1.00 0.98 0.97 0.77 0.85 0.00 2.43 1.68
time (sec) N/A 0.057 0.181 0.558 0.314 0.999 0.000 9.285 2.033
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 36 46 45 53 0 112 72
normalized size 1 1.00 0.78 1.00 0.98 1.15 0.00 2.43 1.57
time (sec) N/A 0.054 0.116 0.521 0.332 0.658 0.000 5.494 1.269
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 51 36 42 457 56 36
normalized size 1 1.00 0.94 1.46 1.03 1.20 13.06 1.60 1.03
time (sec) N/A 0.051 0.059 0.630 0.616 0.821 23.815 1.901 1.171
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 79 68 60 76 411 87 48
normalized size 1 1.00 1.41 1.21 1.07 1.36 7.34 1.55 0.86
time (sec) N/A 0.041 0.131 0.303 0.498 0.697 23.677 0.514 1.154
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 97 90 98 151 0 143 75
normalized size 1 1.00 0.96 0.89 0.97 1.50 0.00 1.42 0.74
time (sec) N/A 0.069 0.326 0.815 0.372 0.661 0.000 0.335 1.245
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 140 126 146 240 0 212 102
normalized size 1 1.00 0.98 0.88 1.02 1.68 0.00 1.48 0.71
time (sec) N/A 0.097 0.639 0.925 0.439 0.669 0.000 0.394 1.399
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 169 162 188 317 0 261 170
normalized size 1 1.00 0.91 0.88 1.02 1.71 0.00 1.41 0.92
time (sec) N/A 0.124 1.242 0.864 1.396 0.814 0.000 1.910 1.328
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 362 396 429 147 0 175 265
normalized size 1 1.00 1.53 1.67 1.81 0.62 0.00 0.74 1.12
time (sec) N/A 0.363 1.339 0.848 0.624 0.601 0.000 116.124 2.564
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 303 312 343 127 0 149 208
normalized size 1 1.00 1.79 1.85 2.03 0.75 0.00 0.88 1.23
time (sec) N/A 0.268 0.919 0.820 0.702 0.538 0.000 64.838 2.355
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 230 228 257 97 0 123 148
normalized size 1 1.00 2.32 2.30 2.60 0.98 0.00 1.24 1.49
time (sec) N/A 0.204 0.757 0.621 0.521 0.783 0.000 11.182 1.934
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 241 144 171 87 0 97 92
normalized size 1 1.00 3.65 2.18 2.59 1.32 0.00 1.47 1.39
time (sec) N/A 0.091 0.962 0.600 0.447 0.619 0.000 7.541 1.309
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 48 117 76 98 83 0 63 37
normalized size 1 1.04 2.54 1.65 2.13 1.80 0.00 1.37 0.80
time (sec) N/A 0.141 0.268 0.600 0.514 0.785 0.000 3.669 1.161
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 71 125 56 72 80 0 50 35
normalized size 1 1.18 2.08 0.93 1.20 1.33 0.00 0.83 0.58
time (sec) N/A 0.173 0.403 0.584 0.448 0.598 0.000 0.785 1.161
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 252 113 133 142 0 99 91
normalized size 1 1.00 1.76 0.79 0.93 0.99 0.00 0.69 0.64
time (sec) N/A 0.236 1.233 0.805 0.434 0.752 0.000 0.486 1.703
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 366 151 177 216 0 131 205
normalized size 1 1.00 2.07 0.85 1.00 1.22 0.00 0.74 1.16
time (sec) N/A 0.253 1.184 0.882 0.430 1.208 0.000 0.469 2.075
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 394 189 218 282 0 160 254
normalized size 1 1.00 1.83 0.88 1.01 1.31 0.00 0.74 1.18
time (sec) N/A 0.278 3.725 1.017 0.559 1.158 0.000 1.468 3.237
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 186 1495 177 0 0 0 -1
normalized size 1 1.00 0.60 4.82 0.57 0.00 0.00 0.00 -0.00
time (sec) N/A 0.320 2.387 1.900 0.463 0.000 0.000 0.000 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 214 688 171 0 0 0 -1
normalized size 1 1.00 0.76 2.44 0.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.274 2.107 1.799 0.497 0.000 0.000 0.000 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 272 182 1409 154 0 0 0 -1
normalized size 1 1.00 0.67 5.18 0.57 0.00 0.00 0.00 -0.00
time (sec) N/A 0.244 1.571 1.968 0.464 0.000 0.000 0.000 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 244 244 220 284 156 0 0 0 -1
normalized size 1 1.00 0.90 1.16 0.64 0.00 0.00 0.00 -0.00
time (sec) N/A 0.213 1.764 1.803 0.450 0.000 0.000 0.000 0.000
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 196 1390 168 0 0 0 -1
normalized size 1 1.00 0.64 4.56 0.55 0.00 0.00 0.00 -0.00
time (sec) N/A 0.303 2.663 1.776 0.437 0.000 0.000 0.000 0.000
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 200 648 169 0 0 0 -1
normalized size 1 1.00 0.71 2.30 0.60 0.00 0.00 0.00 -0.00
time (sec) N/A 0.275 1.526 1.697 0.432 0.000 0.000 0.000 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 254 1427 196 0 0 0 -1
normalized size 1 1.00 0.73 4.12 0.57 0.00 0.00 0.00 -0.00
time (sec) N/A 0.365 2.558 1.764 0.431 0.000 0.000 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 366 366 117 1518 200 0 0 0 -1
normalized size 1 1.00 0.32 4.15 0.55 0.00 0.00 0.00 -0.00
time (sec) N/A 0.433 6.212 1.959 0.608 0.000 0.000 0.000 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 335 335 257 721 194 0 0 0 -1
normalized size 1 1.00 0.77 2.15 0.58 0.00 0.00 0.00 -0.00
time (sec) N/A 0.385 11.887 1.946 0.468 0.000 0.000 0.000 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 309 309 106 1480 177 0 0 0 -1
normalized size 1 1.00 0.34 4.79 0.57 0.00 0.00 0.00 -0.00
time (sec) N/A 0.336 1.269 2.038 0.455 0.000 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 278 278 220 653 178 0 0 0 -1
normalized size 1 1.00 0.79 2.35 0.64 0.00 0.00 0.00 -0.00
time (sec) N/A 0.303 2.467 1.995 0.457 0.000 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 310 310 238 1392 190 0 0 0 -1
normalized size 1 1.00 0.77 4.49 0.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.388 7.591 1.816 0.483 0.000 0.000 0.000 0.000
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 316 316 224 650 191 0 0 0 -1
normalized size 1 1.00 0.71 2.06 0.60 0.00 0.00 0.00 -0.00
time (sec) N/A 0.386 5.160 1.808 0.440 0.000 0.000 0.000 0.000
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 370 370 2820 1429 218 0 0 0 -1
normalized size 1 1.00 7.62 3.86 0.59 0.00 0.00 0.00 -0.00
time (sec) N/A 0.456 14.276 1.899 0.437 0.000 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 330 330 332 734 0 0 0 0 -1
normalized size 1 1.00 1.01 2.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.419 21.943 1.733 0.000 0.000 0.000 0.000 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 129 1505 0 0 0 0 -1
normalized size 1 1.00 0.40 4.62 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.394 13.012 1.689 0.000 0.000 0.000 0.000 0.000
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 271 698 0 0 0 0 -1
normalized size 1 1.00 0.92 2.37 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.353 54.601 1.699 0.000 0.000 0.000 0.000 0.000
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 285 285 105 1419 0 0 0 0 -1
normalized size 1 1.00 0.37 4.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.326 5.508 2.087 0.000 0.000 0.000 0.000 0.000
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 257 257 1211 319 0 0 0 0 -1
normalized size 1 1.00 4.71 1.24 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.292 13.206 1.829 0.000 0.000 0.000 0.000 0.000
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 315 315 2715 352 0 0 0 0 -1
normalized size 1 1.00 8.62 1.12 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.375 8.089 1.766 0.000 0.000 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 290 290 1253 1269 0 0 0 0 -1
normalized size 1 1.00 4.32 4.38 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.346 9.068 1.731 0.000 0.000 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 359 359 180 2113 0 0 0 0 -1
normalized size 1 1.00 0.50 5.89 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.452 13.966 1.618 0.000 0.000 0.000 0.000 0.000
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 328 328 1299 1896 0 0 0 0 -1
normalized size 1 1.00 3.96 5.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.417 9.574 1.682 0.000 0.000 0.000 0.000 0.000
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 372 372 0 1518 0 0 0 0 -1
normalized size 1 1.00 0.00 4.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.492 13.807 1.760 0.000 0.000 0.000 0.000 0.000
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 339 339 0 721 0 0 0 0 -1
normalized size 1 1.00 0.00 2.13 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.458 74.213 1.692 0.000 0.000 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 312 312 0 1480 0 0 0 0 -1
normalized size 1 1.00 0.00 4.74 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.411 4.601 1.734 0.000 0.000 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 281 281 0 653 0 0 0 0 -1
normalized size 1 1.00 0.00 2.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.378 4.116 1.778 0.000 0.000 0.000 0.000 0.000
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 310 310 812 360 0 0 0 0 -1
normalized size 1 1.00 2.62 1.16 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.465 6.710 1.715 0.000 0.000 0.000 0.000 0.000
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 316 316 0 1267 0 0 0 0 -1
normalized size 1 1.00 0.00 4.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.459 16.519 1.842 0.000 0.000 0.000 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 363 363 2792 2117 0 0 0 0 -1
normalized size 1 1.00 7.69 5.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.525 8.450 1.875 0.000 0.000 0.000 0.000 0.000
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 365 365 1281 1896 0 0 0 0 -1
normalized size 1 1.00 3.51 5.19 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.531 8.914 1.901 0.000 0.000 0.000 0.000 0.000
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 102 359 145 299 0 193 -1
normalized size 1 1.00 0.69 2.44 0.99 2.03 0.00 1.31 -0.01
time (sec) N/A 0.115 0.648 1.377 0.625 1.022 0.000 4.820 0.000
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 80 221 107 259 0 152 -1
normalized size 1 1.00 0.81 2.23 1.08 2.62 0.00 1.54 -0.01
time (sec) N/A 0.084 0.168 1.262 0.566 0.980 0.000 2.507 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 60 42 67 184 0 75 47
normalized size 1 1.00 1.18 0.82 1.31 3.61 0.00 1.47 0.92
time (sec) N/A 0.045 0.048 0.239 0.582 1.084 0.000 0.733 1.481
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 72 98 0 242 0 88 -1
normalized size 1 1.00 0.99 1.34 0.00 3.32 0.00 1.21 -0.01
time (sec) N/A 0.071 0.056 1.142 0.000 0.833 0.000 2.114 0.000
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 87 267 0 426 0 140 -1
normalized size 1 1.00 0.66 2.04 0.00 3.25 0.00 1.07 -0.01
time (sec) N/A 0.118 0.297 1.376 0.000 1.126 0.000 0.787 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 102 407 0 529 0 201 -1
normalized size 1 1.00 0.53 2.11 0.00 2.74 0.00 1.04 -0.01
time (sec) N/A 0.158 0.328 1.469 0.000 0.968 0.000 0.878 0.000
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 134 566 0 371 0 284 -1
normalized size 1 1.00 0.60 2.55 0.00 1.67 0.00 1.28 -0.00
time (sec) N/A 0.106 7.282 1.436 0.000 0.776 0.000 10.327 0.000
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 110 317 0 331 0 246 -1
normalized size 1 1.00 0.69 1.98 0.00 2.07 0.00 1.54 -0.01
time (sec) N/A 0.095 5.913 1.360 0.000 0.692 0.000 5.441 0.000
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 226 210 0 283 0 208 -1
normalized size 1 1.00 2.35 2.19 0.00 2.95 0.00 2.17 -0.01
time (sec) N/A 0.077 4.154 1.065 0.000 0.798 0.000 4.776 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 109 109 5502 188 0 422 0 236 -1
normalized size 1 1.00 50.48 1.72 0.00 3.87 0.00 2.17 -0.01
time (sec) N/A 0.099 24.189 1.236 0.000 0.971 0.000 1.179 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 196 196 5552 381 0 547 0 365 -1
normalized size 1 1.00 28.33 1.94 0.00 2.79 0.00 1.86 -0.01
time (sec) N/A 0.203 24.008 1.250 0.000 1.340 0.000 4.655 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 280 280 5594 573 0 646 0 476 -1
normalized size 1 1.00 19.98 2.05 0.00 2.31 0.00 1.70 -0.00
time (sec) N/A 0.271 24.370 1.584 0.000 2.964 0.000 3.907 0.000
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 112 429 162 334 0 218 -1
normalized size 1 1.00 0.66 2.54 0.96 1.98 0.00 1.29 -0.01
time (sec) N/A 0.136 0.553 1.207 0.462 1.693 0.000 4.765 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 92 291 124 290 0 173 -1
normalized size 1 1.00 0.76 2.40 1.02 2.40 0.00 1.43 -0.01
time (sec) N/A 0.104 0.270 1.138 0.425 1.333 0.000 2.126 0.000
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 70 57 86 238 0 122 67
normalized size 1 1.00 0.96 0.78 1.18 3.26 0.00 1.67 0.92
time (sec) N/A 0.055 0.150 0.174 0.454 0.695 0.000 1.134 1.460
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 72 101 0 243 0 89 -1
normalized size 1 1.00 0.99 1.38 0.00 3.33 0.00 1.22 -0.01
time (sec) N/A 0.079 0.064 1.019 0.000 0.748 0.000 1.215 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 99 258 0 378 0 138 -1
normalized size 1 1.00 0.91 2.37 0.00 3.47 0.00 1.27 -0.01
time (sec) N/A 0.107 0.362 1.181 0.000 0.680 0.000 0.908 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 104 502 0 589 0 211 -1
normalized size 1 1.00 0.61 2.94 0.00 3.44 0.00 1.23 -0.01
time (sec) N/A 0.143 0.319 1.270 0.000 0.847 0.000 1.161 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 147 656 0 415 0 369 -1
normalized size 1 1.00 0.57 2.54 0.00 1.61 0.00 1.43 -0.00
time (sec) N/A 0.122 8.622 1.356 0.000 0.720 0.000 6.468 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 123 407 0 371 0 310 -1
normalized size 1 1.00 0.63 2.10 0.00 1.91 0.00 1.60 -0.01
time (sec) N/A 0.110 6.502 1.279 0.000 0.766 0.000 3.384 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 97 300 0 321 0 224 -1
normalized size 1 1.00 0.76 2.34 0.00 2.51 0.00 1.75 -0.01
time (sec) N/A 0.093 5.592 1.024 0.000 0.577 0.000 5.496 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 64 64 102 113 0 264 0 197 -1
normalized size 1 1.00 1.59 1.77 0.00 4.12 0.00 3.08 -0.02
time (sec) N/A 0.071 0.379 1.044 0.000 0.666 0.000 1.437 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F(-1) B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 144 144 5542 372 0 531 0 369 -1
normalized size 1 1.00 38.49 2.58 0.00 3.69 0.00 2.56 -0.01
time (sec) N/A 0.148 24.005 1.107 0.000 0.778 0.000 2.461 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F(-1) B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 226 226 5582 720 0 708 0 519 -1
normalized size 1 1.00 24.70 3.19 0.00 3.13 0.00 2.30 -0.00
time (sec) N/A 0.231 24.119 1.611 0.000 0.724 0.000 6.014 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 156 500 181 386 0 244 -1
normalized size 1 1.00 0.81 2.59 0.94 2.00 0.00 1.26 -0.01
time (sec) N/A 0.146 0.778 1.319 0.599 0.730 0.000 9.541 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 102 362 143 334 0 198 -1
normalized size 1 1.00 0.70 2.50 0.99 2.30 0.00 1.37 -0.01
time (sec) N/A 0.118 0.609 1.244 0.605 0.787 0.000 3.923 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 82 74 105 282 0 148 92
normalized size 1 1.00 0.85 0.76 1.08 2.91 0.00 1.53 0.95
time (sec) N/A 0.065 0.236 0.194 0.638 1.257 0.000 1.729 1.823
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 83 124 0 300 0 112 -1
normalized size 1 1.00 0.87 1.31 0.00 3.16 0.00 1.18 -0.01
time (sec) N/A 0.089 0.131 1.008 0.000 0.600 0.000 1.031 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 115 248 0 398 0 140 -1
normalized size 1 1.00 1.08 2.34 0.00 3.75 0.00 1.32 -0.01
time (sec) N/A 0.103 0.288 1.133 0.000 0.763 0.000 6.337 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) B F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 138 376 0 503 0 177 -1
normalized size 1 1.00 0.94 2.56 0.00 3.42 0.00 1.20 -0.01
time (sec) N/A 0.127 1.388 1.327 0.000 0.587 0.000 1.763 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 290 173 747 0 477 0 397 -1
normalized size 1 1.00 0.60 2.58 0.00 1.64 0.00 1.37 -0.00
time (sec) N/A 0.128 10.335 1.668 0.000 0.800 0.000 10.859 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 149 498 0 425 0 339 -1
normalized size 1 1.00 0.67 2.22 0.00 1.90 0.00 1.51 -0.00
time (sec) N/A 0.111 7.499 1.425 0.000 0.496 0.000 4.629 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 125 391 0 374 0 281 -1
normalized size 1 1.00 0.78 2.44 0.00 2.34 0.00 1.76 -0.01
time (sec) N/A 0.099 5.918 1.061 0.000 0.651 0.000 12.613 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 124 192 0 270 0 192 -1
normalized size 1 1.00 1.88 2.91 0.00 4.09 0.00 2.91 -0.02
time (sec) N/A 0.071 0.826 1.007 0.000 0.707 0.000 2.439 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F(-1) B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 81 214 0 355 0 311 -1
normalized size 1 1.00 0.84 2.23 0.00 3.70 0.00 3.24 -0.01
time (sec) N/A 0.076 0.293 1.184 0.000 0.636 0.000 5.969 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F(-1) B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 176 176 5562 542 0 650 0 481 -1
normalized size 1 1.00 31.60 3.08 0.00 3.69 0.00 2.73 -0.01
time (sec) N/A 0.184 24.179 1.409 0.000 0.865 0.000 12.537 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 88 293 129 285 0 190 -1
normalized size 1 1.00 0.70 2.33 1.02 2.26 0.00 1.51 -0.01
time (sec) N/A 0.101 0.184 1.329 0.538 0.792 0.000 3.768 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 66 155 91 241 0 149 -1
normalized size 1 1.00 0.85 1.99 1.17 3.09 0.00 1.91 -0.01
time (sec) N/A 0.074 0.091 1.327 0.993 0.528 0.000 1.748 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 44 26 49 137 0 55 27
normalized size 1 1.00 1.42 0.84 1.58 4.42 0.00 1.77 0.87
time (sec) N/A 0.039 0.040 0.172 0.607 0.468 0.000 4.377 1.415
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 57 259 0 384 0 150 -1
normalized size 1 1.00 0.62 2.82 0.00 4.17 0.00 1.63 -0.01
time (sec) N/A 0.086 0.058 1.320 0.000 0.730 0.000 1.233 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 90 504 0 546 0 229 -1
normalized size 1 1.00 0.59 3.32 0.00 3.59 0.00 1.51 -0.01
time (sec) N/A 0.135 0.215 1.519 0.000 0.593 0.000 7.086 0.000
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 102 746 0 705 0 296 -1
normalized size 1 1.00 0.48 3.49 0.00 3.29 0.00 1.38 -0.00
time (sec) N/A 0.178 0.282 1.854 0.000 0.678 0.000 8.554 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 189 189 467 480 0 355 0 353 -1
normalized size 1 1.00 2.47 2.54 0.00 1.88 0.00 1.87 -0.01
time (sec) N/A 0.101 19.224 1.403 0.000 0.746 0.000 9.449 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 125 125 238 231 0 311 0 283 -1
normalized size 1 1.00 1.90 1.85 0.00 2.49 0.00 2.26 -0.01
time (sec) N/A 0.084 3.112 1.269 0.000 0.840 0.000 6.154 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 63 63 119 116 0 235 0 191 -1
normalized size 1 1.00 1.89 1.84 0.00 3.73 0.00 3.03 -0.02
time (sec) N/A 0.063 0.771 0.934 0.000 0.816 0.000 1.907 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 165 165 5534 374 0 503 0 123 -1
normalized size 1 1.00 33.54 2.27 0.00 3.05 0.00 0.75 -0.01
time (sec) N/A 0.141 24.297 1.302 0.000 0.576 0.000 1.425 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 251 251 5574 722 0 666 0 256 -1
normalized size 1 1.00 22.21 2.88 0.00 2.65 0.00 1.02 -0.00
time (sec) N/A 0.226 24.181 1.508 0.000 2.153 0.000 1.556 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 335 335 5618 1068 0 823 0 387 -1
normalized size 1 1.00 16.77 3.19 0.00 2.46 0.00 1.16 -0.00
time (sec) N/A 0.322 24.150 1.500 0.000 0.915 0.000 1.838 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 79 224 110 261 0 168 -1
normalized size 1 1.00 0.79 2.24 1.10 2.61 0.00 1.68 -0.01
time (sec) N/A 0.097 0.178 1.126 0.547 0.592 0.000 4.901 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 56 81 71 191 0 99 -1
normalized size 1 1.00 1.04 1.50 1.31 3.54 0.00 1.83 -0.02
time (sec) N/A 0.075 0.083 1.046 0.810 0.531 0.000 3.200 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 38 45 70 244 0 102 50
normalized size 1 1.00 0.70 0.83 1.30 4.52 0.00 1.89 0.93
time (sec) N/A 0.049 0.038 0.135 0.591 0.774 0.000 2.723 1.586
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 60 376 0 485 0 185 -1
normalized size 1 1.00 0.50 3.13 0.00 4.04 0.00 1.54 -0.01
time (sec) N/A 0.107 0.060 1.293 0.000 0.706 0.000 2.424 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 90 514 0 592 0 281 -1
normalized size 1 1.00 0.51 2.92 0.00 3.36 0.00 1.60 -0.01
time (sec) N/A 0.162 0.176 1.362 0.000 0.641 0.000 1.626 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 99 866 0 837 0 350 -1
normalized size 1 1.00 0.42 3.64 0.00 3.52 0.00 1.47 -0.00
time (sec) N/A 0.205 0.319 1.378 0.000 0.639 0.000 1.896 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 248 391 0 343 0 338 -1
normalized size 1 1.00 1.58 2.49 0.00 2.18 0.00 2.15 -0.01
time (sec) N/A 0.097 2.880 1.372 0.000 0.585 0.000 7.384 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 95 95 162 142 0 295 0 258 -1
normalized size 1 1.00 1.71 1.49 0.00 3.11 0.00 2.72 -0.01
time (sec) N/A 0.080 4.827 1.234 0.000 0.484 0.000 7.995 0.000
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 85 85 4739 142 0 295 0 73 -1
normalized size 1 1.00 55.75 1.67 0.00 3.47 0.00 0.86 -0.01
time (sec) N/A 0.086 23.844 0.903 0.000 0.632 0.000 2.968 0.000
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 215 215 5578 542 0 603 0 164 -1
normalized size 1 1.00 25.94 2.52 0.00 2.80 0.00 0.76 -0.00
time (sec) N/A 0.195 24.648 1.330 0.000 0.665 0.000 1.489 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 303 303 5620 732 0 712 0 289 -1
normalized size 1 1.00 18.55 2.42 0.00 2.35 0.00 0.95 -0.00
time (sec) N/A 0.282 24.008 1.472 0.000 0.902 0.000 1.953 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 387 387 5662 1240 0 955 0 414 -1
normalized size 1 1.00 14.63 3.20 0.00 2.47 0.00 1.07 -0.00
time (sec) N/A 0.368 24.209 1.545 0.000 0.670 0.000 2.515 0.000
Problem 195 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 78 78 69 155 163 241 0 140 -1
normalized size 1 1.00 0.88 1.99 2.09 3.09 0.00 1.79 -0.01
time (sec) N/A 0.090 0.123 1.190 0.457 0.476 0.000 4.513 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 50 154 125 245 0 104 -1
normalized size 1 1.00 0.93 2.85 2.31 4.54 0.00 1.93 -0.02
time (sec) N/A 0.072 0.057 1.136 0.453 0.668 0.000 4.922 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 40 62 87 321 0 130 69
normalized size 1 1.00 0.51 0.79 1.12 4.12 0.00 1.67 0.88
time (sec) N/A 0.058 0.059 0.128 0.441 0.584 0.000 1.496 1.907
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 60 496 0 573 0 227 -1
normalized size 1 1.00 0.42 3.44 0.00 3.98 0.00 1.58 -0.01
time (sec) N/A 0.125 0.074 1.329 0.000 0.636 0.000 4.291 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 90 744 0 748 0 323 -1
normalized size 1 1.00 0.45 3.72 0.00 3.74 0.00 1.62 -0.00
time (sec) N/A 0.175 0.212 1.572 0.000 0.608 0.000 2.021 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 99 986 0 905 0 392 -1
normalized size 1 1.00 0.38 3.76 0.00 3.45 0.00 1.50 -0.00
time (sec) N/A 0.227 0.317 1.490 0.000 0.691 0.000 2.666 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-1) A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 447 302 0 323 0 292 -1
normalized size 1 1.00 3.52 2.38 0.00 2.54 0.00 2.30 -0.01
time (sec) N/A 0.087 6.079 1.216 0.000 0.459 0.000 6.434 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 113 113 5491 326 0 414 0 73 -1
normalized size 1 1.00 48.59 2.88 0.00 3.66 0.00 0.65 -0.01
time (sec) N/A 0.107 23.737 1.209 0.000 0.523 0.000 3.050 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 5521 370 0 492 0 54 -1
normalized size 1 1.00 43.47 2.91 0.00 3.87 0.00 0.43 -0.01
time (sec) N/A 0.106 23.811 0.925 0.000 0.719 0.000 10.292 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 5604 714 0 691 0 205 -1
normalized size 1 1.00 21.15 2.69 0.00 2.61 0.00 0.77 -0.00
time (sec) N/A 0.233 23.931 1.399 0.000 0.683 0.000 5.577 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 355 355 5646 1066 0 868 0 331 -1
normalized size 1 1.00 15.90 3.00 0.00 2.45 0.00 0.93 -0.00
time (sec) N/A 0.329 24.157 1.559 0.000 0.710 0.000 2.690 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 439 439 5688 1412 0 1023 0 454 -1
normalized size 1 1.00 12.96 3.22 0.00 2.33 0.00 1.03 -0.00
time (sec) N/A 0.420 24.274 1.624 0.000 0.812 0.000 3.674 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) A F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 177 227 5584 724 0 674 0 0 -1
normalized size 1 1.28 31.55 4.09 0.00 3.81 0.00 0.00 -0.01
time (sec) N/A 0.180 24.142 1.167 0.000 0.814 0.000 0.000 0.000
Problem 208 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 125 125 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 1.289 2.550 0.000 0.565 0.000 0.000 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 243 243 391 0 0 0 0 0 -1
normalized size 1 1.00 1.61 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.229 6.227 1.901 0.000 0.499 0.000 0.000 0.000
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 358 0 0 0 0 0 -1
normalized size 1 1.00 2.22 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.169 3.197 2.372 0.000 0.526 0.000 0.000 0.000
Problem 211 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 129 129 105 0 0 0 0 0 -1
normalized size 1 1.00 0.81 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.734 2.452 0.000 0.602 0.000 0.000 0.000
Problem 212 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 130 130 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.159 0.533 2.451 0.000 0.530 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 169 169 329 0 0 0 0 0 -1
normalized size 1 1.00 1.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.272 6.918 1.722 0.000 0.474 0.000 0.000 0.000
Problem 214 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 252 252 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 0.341 11.602 1.848 0.000 0.610 0.000 0.000 0.000
Problem 215 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 131 131 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 3.757 1.610 0.000 0.836 0.000 0.000 0.000
Problem 216 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 131 131 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 7.999 1.614 0.000 0.683 0.000 0.000 0.000
Problem 217 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 131 131 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 2.350 1.668 0.000 0.565 0.000 0.000 0.000
Problem 218 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 131 131 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.105 10.465 1.548 0.000 0.504 0.000 0.000 0.000
Problem 219 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 123 123 87 0 0 0 0 0 -1
normalized size 1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.100 0.456 1.392 0.000 0.538 0.000 0.000 0.000
Problem 220 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 97 97 72 0 0 0 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.170 1.186 0.000 0.533 0.000 0.000 0.000
Problem 221 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 69 69 49 0 0 0 0 0 -1
normalized size 1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.053 1.160 0.000 0.513 0.000 0.000 0.000
Problem 222 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 43 43 43 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.041 0.045 1.148 0.000 0.484 0.000 0.000 0.000
Problem 223 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 74 74 57 0 0 0 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.061 0.037 1.438 0.000 0.622 0.000 0.000 0.000
Problem 224 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 127 127 96 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.109 0.257 1.063 0.000 0.479 0.000 0.000 0.000
Problem 225 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 106 106 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 1.347 1.035 0.000 0.515 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 106 106 910 0 0 0 0 0 -1
normalized size 1 1.00 8.58 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 11.327 0.761 0.000 0.734 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 102 102 893 0 0 0 0 0 -1
normalized size 1 1.00 8.75 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 4.183 1.029 0.000 0.634 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 106 106 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.056 1.705 1.134 0.000 0.496 0.000 0.000 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 114 114 2072 0 0 0 0 0 -1
normalized size 1 1.00 18.18 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 19.020 1.756 0.000 0.503 0.000 0.000 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 114 114 238 0 0 0 0 0 -1
normalized size 1 1.00 2.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 2.229 1.733 0.000 0.518 0.000 0.000 0.000
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 111 111 229 0 0 0 0 0 -1
normalized size 1 1.00 2.06 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.063 1.612 1.536 0.000 0.503 0.000 0.000 0.000
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 112 112 2164 0 0 0 0 0 -1
normalized size 1 1.00 19.32 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.067 15.865 1.443 0.000 0.551 0.000 0.000 0.000
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 185 648 186 0 0 0 -1
normalized size 1 1.00 0.58 2.02 0.58 0.00 0.00 0.00 -0.00
time (sec) N/A 0.264 3.797 2.483 0.471 0.000 0.000 0.000 0.000
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 191 1390 180 0 0 0 -1
normalized size 1 1.00 0.55 4.02 0.52 0.00 0.00 0.00 -0.00
time (sec) N/A 0.279 1.196 2.348 0.497 0.000 0.000 0.000 0.000
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 169 284 166 0 0 0 -1
normalized size 1 1.00 0.62 1.04 0.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.201 1.830 2.365 0.467 0.000 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 189 1409 166 0 0 0 -1
normalized size 1 1.00 0.63 4.71 0.56 0.00 0.00 0.00 -0.00
time (sec) N/A 0.233 1.602 2.362 0.497 0.000 0.000 0.000 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 224 688 188 0 0 0 -1
normalized size 1 1.00 0.70 2.15 0.59 0.00 0.00 0.00 -0.00
time (sec) N/A 0.251 2.601 2.077 0.452 0.000 0.000 0.000 0.000
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 357 357 93 650 214 0 0 0 -1
normalized size 1 1.00 0.26 1.82 0.60 0.00 0.00 0.00 -0.00
time (sec) N/A 0.336 2.333 2.681 0.496 0.000 0.000 0.000 0.000
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 343 343 220 1392 208 0 0 0 -1
normalized size 1 1.00 0.64 4.06 0.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.329 5.247 2.542 0.465 0.000 0.000 0.000 0.000
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 311 311 118 655 193 0 0 0 -1
normalized size 1 1.00 0.38 2.11 0.62 0.00 0.00 0.00 -0.00
time (sec) N/A 0.287 1.845 2.724 0.468 0.000 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 339 339 221 1480 194 0 0 0 -1
normalized size 1 1.00 0.65 4.37 0.57 0.00 0.00 0.00 -0.00
time (sec) N/A 0.318 11.463 2.354 0.514 0.000 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 375 375 127 721 216 0 0 0 -1
normalized size 1 1.00 0.34 1.92 0.58 0.00 0.00 0.00 -0.00
time (sec) N/A 0.328 6.274 2.278 0.489 0.000 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 405 405 316 2113 0 0 0 0 -1
normalized size 1 1.00 0.78 5.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.427 4.048 2.002 0.000 0.000 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 135 1269 0 0 0 0 -1
normalized size 1 1.00 0.42 3.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.325 1.712 2.119 0.000 0.000 0.000 0.000 0.000
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 347 347 249 352 0 0 0 0 -1
normalized size 1 1.00 0.72 1.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.357 3.706 2.069 0.000 0.000 0.000 0.000 0.000
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 290 290 112 319 0 0 0 0 -1
normalized size 1 1.00 0.39 1.10 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.289 8.863 1.971 0.000 0.000 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 194 1419 0 0 0 0 -1
normalized size 1 1.00 0.60 4.37 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.323 62.674 2.396 0.000 0.000 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 335 335 130 698 0 0 0 0 -1
normalized size 1 1.00 0.39 2.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.337 15.929 2.385 0.000 0.000 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 371 371 261 1505 0 0 0 0 -1
normalized size 1 1.00 0.70 4.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.368 19.743 2.086 0.000 0.000 0.000 0.000 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 413 413 0 2117 0 0 0 0 -1
normalized size 1 1.00 0.00 5.13 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.427 13.846 2.317 0.000 0.000 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 359 359 0 1267 0 0 0 0 -1
normalized size 1 1.00 0.00 3.53 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.389 10.121 2.044 0.000 0.000 0.000 0.000 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 355 355 0 360 0 0 0 0 -1
normalized size 1 1.00 0.00 1.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.418 5.222 2.138 0.000 0.000 0.000 0.000 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 321 321 0 653 0 0 0 0 -1
normalized size 1 1.00 0.00 2.03 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.372 5.099 2.233 0.000 0.000 0.000 0.000 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 357 357 0 1480 0 0 0 0 -1
normalized size 1 1.00 0.00 4.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.394 55.435 2.086 0.000 0.000 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F C F(-1) F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 389 389 0 721 0 0 0 0 -1
normalized size 1 1.00 0.00 1.85 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.480 13.534 2.109 0.000 0.000 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 106 216 94 101 148 317 221
normalized size 1 1.00 0.95 1.95 0.85 0.91 1.33 2.86 1.99
time (sec) N/A 0.156 0.471 0.625 0.323 1.292 8.484 11.584 5.240
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 82 161 72 79 112 248 162
normalized size 1 1.00 0.98 1.92 0.86 0.94 1.33 2.95 1.93
time (sec) N/A 0.094 0.201 0.641 0.504 1.134 3.128 3.013 5.846
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 55 104 50 57 76 179 102
normalized size 1 1.00 1.00 1.89 0.91 1.04 1.38 3.25 1.85
time (sec) N/A 0.066 0.136 0.643 0.506 0.564 0.915 0.951 2.228
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 25 26 34 37 107 40
normalized size 1 1.00 1.00 1.00 1.04 1.36 1.48 4.28 1.60
time (sec) N/A 0.037 0.015 0.176 0.563 1.021 0.262 1.034 1.302
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 60 35 34 38 0 61 51
normalized size 1 1.00 1.40 0.81 0.79 0.88 0.00 1.42 1.19
time (sec) N/A 0.081 0.038 0.459 0.522 0.816 0.000 0.257 1.306
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 114 85 62 99 0 170 86
normalized size 1 1.00 1.58 1.18 0.86 1.38 0.00 2.36 1.19
time (sec) N/A 0.108 1.350 0.648 0.353 0.491 0.000 2.501 1.356
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 166 134 99 168 0 266 128
normalized size 1 1.00 1.63 1.31 0.97 1.65 0.00 2.61 1.25
time (sec) N/A 0.131 0.396 0.536 0.501 0.478 0.000 0.968 1.344
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 216 185 133 237 0 358 170
normalized size 1 1.00 1.66 1.42 1.02 1.82 0.00 2.75 1.31
time (sec) N/A 0.176 0.618 0.619 0.369 0.529 0.000 0.567 1.503
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 103 178 134 134 0 228 331
normalized size 1 1.00 1.01 1.75 1.31 1.31 0.00 2.24 3.25
time (sec) N/A 0.095 1.069 0.428 0.867 0.559 0.000 4.537 2.510
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 79 127 102 112 0 172 267
normalized size 1 1.00 1.08 1.74 1.40 1.53 0.00 2.36 3.66
time (sec) N/A 0.065 0.596 0.430 0.620 0.522 0.000 1.576 2.234
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 60 78 65 87 0 115 96
normalized size 1 1.00 1.33 1.73 1.44 1.93 0.00 2.56 2.13
time (sec) N/A 0.035 0.026 0.412 0.743 0.565 0.000 1.524 1.391
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 43 35 31 33 0 52 48
normalized size 1 1.00 1.65 1.35 1.19 1.27 0.00 2.00 1.85
time (sec) N/A 0.026 0.022 0.454 0.543 0.635 0.000 0.208 1.305
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 62 86 59 87 0 112 90
normalized size 1 1.00 1.13 1.56 1.07 1.58 0.00 2.04 1.64
time (sec) N/A 0.052 0.030 0.812 0.574 0.508 0.000 0.261 1.561
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 79 129 79 130 0 170 132
normalized size 1 1.00 0.94 1.54 0.94 1.55 0.00 2.02 1.57
time (sec) N/A 0.081 0.043 0.815 0.694 0.602 0.000 0.372 1.386
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 92 162 100 179 0 225 174
normalized size 1 1.00 0.83 1.46 0.90 1.61 0.00 2.03 1.57
time (sec) N/A 0.111 0.053 0.911 0.662 0.512 0.000 0.350 1.617
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 217 173 317 174 181 314 489 344
normalized size 1 1.17 0.94 1.71 0.94 0.98 1.70 2.64 1.86
time (sec) N/A 0.131 0.425 0.769 0.705 0.607 34.471 19.614 5.071
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 169 138 256 139 146 252 415 280
normalized size 1 1.13 0.93 1.72 0.93 0.98 1.69 2.79 1.88
time (sec) N/A 0.111 0.352 0.644 0.441 0.568 14.240 8.885 5.173
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 131 105 197 108 115 189 341 215
normalized size 1 1.14 0.91 1.71 0.94 1.00 1.64 2.97 1.87
time (sec) N/A 0.091 0.266 0.661 0.331 0.559 5.436 5.390 4.968
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 74 136 75 82 126 267 151
normalized size 1 1.00 0.85 1.56 0.86 0.94 1.45 3.07 1.74
time (sec) N/A 0.069 0.434 0.665 0.500 0.526 1.857 3.750 3.733
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 42 45 42 51 60 191 81
normalized size 1 1.00 0.89 0.96 0.89 1.09 1.28 4.06 1.72
time (sec) N/A 0.034 0.064 0.192 0.378 0.559 0.493 0.873 1.533
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 53 53 62 68 0 101 96
normalized size 1 1.00 0.87 0.87 1.02 1.11 0.00 1.66 1.57
time (sec) N/A 0.100 0.108 0.547 0.419 0.900 0.000 0.268 1.429
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 82 108 72 113 0 209 98
normalized size 1 1.00 0.89 1.17 0.78 1.23 0.00 2.27 1.07
time (sec) N/A 0.129 0.470 0.693 0.502 0.509 0.000 1.566 1.364
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 148 169 122 203 0 360 164
normalized size 1 1.00 1.17 1.34 0.97 1.61 0.00 2.86 1.30
time (sec) N/A 0.159 3.191 0.582 0.434 0.515 0.000 0.363 1.445
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 293 219 150 184 0 282 403
normalized size 1 1.00 1.87 1.39 0.96 1.17 0.00 1.80 2.57
time (sec) N/A 0.198 1.351 0.409 0.694 0.508 0.000 9.201 2.645
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 355 164 118 151 0 220 332
normalized size 1 1.00 3.06 1.41 1.02 1.30 0.00 1.90 2.86
time (sec) N/A 0.152 0.965 0.391 0.597 0.554 0.000 2.389 2.563
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 201 109 82 115 0 158 227
normalized size 1 1.00 2.87 1.56 1.17 1.64 0.00 2.26 3.24
time (sec) N/A 0.114 1.204 0.393 0.658 0.634 0.000 1.669 1.669
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 39 49 47 44 0 80 58
normalized size 1 1.00 0.81 1.02 0.98 0.92 0.00 1.67 1.21
time (sec) N/A 0.075 0.381 0.684 0.556 0.564 0.000 1.034 1.431
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 122 111 76 102 0 176 118
normalized size 1 1.00 1.44 1.31 0.89 1.20 0.00 2.07 1.39
time (sec) N/A 0.115 0.477 0.818 0.572 0.499 0.000 0.321 1.460
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 198 154 96 152 0 273 191
normalized size 1 1.00 1.62 1.26 0.79 1.25 0.00 2.24 1.57
time (sec) N/A 0.135 0.590 0.806 0.659 0.481 0.000 1.213 1.497
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 257 187 116 206 0 366 258
normalized size 1 1.00 1.68 1.22 0.76 1.35 0.00 2.39 1.69
time (sec) N/A 0.148 0.838 0.952 0.526 0.500 0.000 0.434 1.497
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 250 250 520 460 268 293 0 1768 631
normalized size 1 1.00 2.08 1.84 1.07 1.17 0.00 7.07 2.52
time (sec) N/A 0.197 6.235 0.551 0.623 0.647 0.000 17.339 2.969
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 371 292 183 205 0 1052 395
normalized size 1 1.00 2.18 1.72 1.08 1.21 0.00 6.19 2.32
time (sec) N/A 0.139 6.191 0.480 0.601 0.584 0.000 11.517 2.403
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 108 163 110 129 0 560 227
normalized size 1 1.00 1.00 1.51 1.02 1.19 0.00 5.19 2.10
time (sec) N/A 0.096 0.400 0.437 0.403 0.546 0.000 3.135 1.881
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 52 70 57 69 0 289 115
normalized size 1 1.00 0.88 1.19 0.97 1.17 0.00 4.90 1.95
time (sec) N/A 0.071 0.130 0.388 0.422 0.509 0.000 2.071 1.538
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 19 35 19 19 82 114 71
normalized size 1 1.00 0.54 1.00 0.54 0.54 2.34 3.26 2.03
time (sec) N/A 0.032 0.038 0.128 0.437 0.484 5.725 0.350 1.468
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 70 80 68 75 0 257 93
normalized size 1 1.00 0.74 0.85 0.72 0.80 0.00 2.73 0.99
time (sec) N/A 0.102 0.107 0.709 0.504 0.518 0.000 0.310 1.749
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 141 167 144 263 0 403 174
normalized size 1 1.00 0.90 1.06 0.92 1.68 0.00 2.57 1.11
time (sec) N/A 0.181 1.053 0.876 0.342 0.603 0.000 0.859 1.845
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 625 308 289 576 0 649 290
normalized size 1 1.00 2.67 1.32 1.24 2.46 0.00 2.77 1.24
time (sec) N/A 0.295 6.251 0.684 0.516 0.768 0.000 1.138 2.266
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 271 907 785 0 603 0 746 9148
normalized size 1 1.37 4.58 3.96 0.00 3.05 0.00 3.77 46.20
time (sec) N/A 0.373 6.198 0.460 0.000 1.053 0.000 4.210 4.129
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 287 374 0 444 0 476 6062
normalized size 1 1.00 2.28 2.97 0.00 3.52 0.00 3.78 48.11
time (sec) N/A 0.343 2.320 0.442 0.000 0.926 0.000 1.483 3.292
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 115 153 0 253 0 140 121
normalized size 1 1.00 1.51 2.01 0.00 3.33 0.00 1.84 1.59
time (sec) N/A 0.185 0.149 0.422 0.000 0.547 0.000 1.469 1.625
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 135 147 123 0 362 0 582 1002
normalized size 1 1.27 1.39 1.16 0.00 3.42 0.00 5.49 9.45
time (sec) N/A 0.243 0.424 0.625 0.000 0.506 0.000 0.447 3.940
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F(-2) B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 256 416 238 0 742 0 1073 3859
normalized size 1 1.45 2.35 1.34 0.00 4.19 0.00 6.06 21.80
time (sec) N/A 0.387 6.200 0.698 0.000 0.530 0.000 0.608 11.109
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A A F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 255 255 528 498 321 423 0 1696 760
normalized size 1 1.00 2.07 1.95 1.26 1.66 0.00 6.65 2.98
time (sec) N/A 0.205 6.314 0.560 0.429 0.640 0.000 21.611 4.769
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 383 324 227 312 0 0 505
normalized size 1 1.00 2.14 1.81 1.27 1.74 0.00 0.00 2.82
time (sec) N/A 0.146 6.221 0.492 0.512 0.584 0.000 0.000 3.090
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 187 192 149 219 0 568 286
normalized size 1 1.00 1.55 1.59 1.23 1.81 0.00 4.69 2.36
time (sec) N/A 0.104 0.601 0.477 0.340 0.546 0.000 6.544 2.127
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 62 93 74 102 0 313 124
normalized size 1 1.00 0.84 1.26 1.00 1.38 0.00 4.23 1.68
time (sec) N/A 0.084 0.276 0.528 0.387 0.509 0.000 1.027 1.651
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 54 41 46 0 238 257
normalized size 1 1.00 1.00 1.00 0.76 0.85 0.00 4.41 4.76
time (sec) N/A 0.043 0.040 0.130 0.439 0.506 0.000 1.412 1.484
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 189 141 142 234 0 303 160
normalized size 1 1.00 1.37 1.02 1.03 1.70 0.00 2.20 1.16
time (sec) N/A 0.142 0.358 0.606 0.319 0.603 0.000 0.283 1.978
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 351 226 303 693 0 656 313
normalized size 1 1.00 1.78 1.15 1.54 3.52 0.00 3.33 1.59
time (sec) N/A 0.229 2.272 0.719 0.544 0.770 0.000 1.930 2.484
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 278 278 473 367 558 1378 0 795 471
normalized size 1 1.00 1.70 1.32 2.01 4.96 0.00 2.86 1.69
time (sec) N/A 0.371 3.137 0.743 0.375 1.102 0.000 1.192 2.967
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 283 865 723 0 843 0 411 9452
normalized size 1 1.42 4.32 3.62 0.00 4.22 0.00 2.06 47.26
time (sec) N/A 0.431 6.247 0.506 0.000 0.920 0.000 4.336 4.816
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 327 353 0 584 0 294 7044
normalized size 1 1.00 2.18 2.35 0.00 3.89 0.00 1.96 46.96
time (sec) N/A 0.326 1.585 0.398 0.000 0.654 0.000 1.552 3.468
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 80 120 0 383 0 144 551
normalized size 1 1.00 0.94 1.41 0.00 4.51 0.00 1.69 6.48
time (sec) N/A 0.146 0.262 0.432 0.000 0.532 0.000 0.663 2.145
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 209 255 0 705 0 332 6093
normalized size 1 1.00 0.92 1.12 0.00 3.11 0.00 1.46 26.84
time (sec) N/A 0.411 1.725 0.623 0.000 0.567 0.000 0.309 6.458
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 303 416 0 1481 0 487 8348
normalized size 1 1.00 0.84 1.16 0.00 4.11 0.00 1.35 23.19
time (sec) N/A 0.567 2.442 0.694 0.000 0.663 0.000 0.363 6.972
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 761 761 1846 3747 0 0 0 0 -1
normalized size 1 1.00 2.43 4.92 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.175 26.439 1.765 0.000 0.000 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 740 740 202 1801 0 0 0 0 -1
normalized size 1 1.00 0.27 2.43 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.015 6.910 1.637 0.000 0.000 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 415 415 224 859 0 0 0 0 -1
normalized size 1 1.00 0.54 2.07 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.705 5.480 1.748 0.000 0.000 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 422 422 246 2313 0 0 0 0 -1
normalized size 1 1.00 0.58 5.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.564 12.804 1.727 0.000 0.000 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 863 863 1571 6426 0 0 0 0 -1
normalized size 1 1.00 1.82 7.45 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.250 27.535 1.709 0.000 0.000 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 836 836 2169 16178 0 0 0 0 -1
normalized size 1 1.00 2.59 19.35 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.063 23.902 1.934 0.000 0.000 0.000 0.000 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 254 3268 191 425 0 966 -1
normalized size 1 1.00 1.50 19.34 1.13 2.51 0.00 5.72 -0.01
time (sec) N/A 0.170 6.307 2.049 0.428 1.638 0.000 3.761 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 194 2342 108 311 0 539 -1
normalized size 1 1.00 1.94 23.42 1.08 3.11 0.00 5.39 -0.01
time (sec) N/A 0.113 6.224 1.720 0.422 1.447 0.000 2.168 0.000
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 137 42 67 192 0 185 47
normalized size 1 1.00 2.69 0.82 1.31 3.76 0.00 3.63 0.92
time (sec) N/A 0.048 0.284 0.243 0.424 0.710 0.000 0.412 1.861
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 333 575 0 2132 0 0 -1
normalized size 1 1.00 3.14 5.42 0.00 20.11 0.00 0.00 -0.01
time (sec) N/A 0.159 4.380 1.517 0.000 1.082 0.000 0.000 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 215 215 937 2844 0 3523 0 514 -1
normalized size 1 1.00 4.36 13.23 0.00 16.39 0.00 2.39 -0.00
time (sec) N/A 0.295 18.948 1.479 0.000 3.139 0.000 1.887 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 344 344 692 1106 0 0 0 0 -1
normalized size 1 1.00 2.01 3.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.385 17.881 1.404 0.000 22.659 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 151 215 0 0 0 0 -1
normalized size 1 1.00 1.21 1.72 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.024 0.260 1.143 0.000 0.000 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 154 628 0 0 0 0 -1
normalized size 1 1.00 0.63 2.55 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.212 3.581 1.320 0.000 0.000 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 248 4997 175 381 0 722 -1
normalized size 1 1.00 1.68 33.76 1.18 2.57 0.00 4.88 -0.01
time (sec) N/A 0.143 6.321 1.752 0.427 2.010 0.000 6.082 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 194 3003 92 273 0 288 -1
normalized size 1 1.00 2.46 38.01 1.16 3.46 0.00 3.65 -0.01
time (sec) N/A 0.098 1.225 1.683 0.425 1.194 0.000 1.438 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 108 26 49 145 0 109 27
normalized size 1 1.00 3.48 0.84 1.58 4.68 0.00 3.52 0.87
time (sec) N/A 0.043 0.203 0.145 0.414 1.607 0.000 1.611 1.634
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 218 690 0 2420 0 0 -1
normalized size 1 1.00 2.06 6.51 0.00 22.83 0.00 0.00 -0.01
time (sec) N/A 0.134 5.979 1.539 0.000 4.410 0.000 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 260 260 1022 4203 0 4336 0 0 -1
normalized size 1 1.00 3.93 16.17 0.00 16.68 0.00 0.00 -0.00
time (sec) N/A 0.263 6.892 1.733 0.000 42.439 0.000 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 404 610 835 1780 0 0 0 0 -1
normalized size 1 1.51 2.07 4.41 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.763 16.941 1.804 0.000 0.834 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 310 310 0 823 0 0 0 0 -1
normalized size 1 1.00 0.00 2.65 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.248 0.000 1.394 0.000 22.980 0.000 0.000 0.000
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 138 180 0 0 0 0 -1
normalized size 1 1.00 1.30 1.70 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.021 0.230 1.247 0.000 24.123 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 361 361 1198 1409 0 0 0 0 -1
normalized size 1 1.00 3.32 3.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.420 19.025 1.709 0.000 0.000 0.000 0.000 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 263 6612 194 467 0 0 -1
normalized size 1 1.00 1.78 44.68 1.31 3.16 0.00 0.00 -0.01
time (sec) N/A 0.172 6.386 2.393 0.433 1.417 0.000 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 167 2830 110 317 0 307 -1
normalized size 1 1.00 1.90 32.16 1.25 3.60 0.00 3.49 -0.01
time (sec) N/A 0.124 1.033 1.662 0.425 1.174 0.000 2.059 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 128 45 70 260 0 0 50
normalized size 1 1.00 2.37 0.83 1.30 4.81 0.00 0.00 0.93
time (sec) N/A 0.053 0.392 0.139 0.420 1.038 0.000 0.000 1.955
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 142 142 1020 2766 0 3924 0 0 -1
normalized size 1 1.00 7.18 19.48 0.00 27.63 0.00 0.00 -0.01
time (sec) N/A 0.197 6.943 1.315 0.000 38.669 0.000 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-1) B F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 236 316 1114 10977 0 8098 0 0 -1
normalized size 1 1.34 4.72 46.51 0.00 34.31 0.00 0.00 -0.00
time (sec) N/A 0.385 7.526 1.962 0.000 76.759 0.000 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 530 907 859 1544 0 0 0 0 -1
normalized size 1 1.71 1.62 2.91 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.298 17.186 1.579 0.000 23.514 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 344 344 5162 633 0 0 0 0 -1
normalized size 1 1.00 15.01 1.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.404 23.591 1.188 0.000 0.774 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 347 347 1249 1209 0 0 0 0 -1
normalized size 1 1.00 3.60 3.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.319 6.161 1.253 0.000 23.569 0.000 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 664 663 2238 0 0 0 0 -1
normalized size 1 1.48 1.48 4.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.953 13.640 1.324 0.000 0.000 0.000 0.000 0.000
Problem 344 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 245 245 238 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.272 3.515 1.803 0.000 0.823 0.000 0.000 0.000
Problem 345 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 160 160 178 0 0 0 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.182 1.296 2.770 0.000 0.689 0.000 0.000 0.000
Problem 346 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 129 129 106 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.085 0.675 2.539 0.000 1.418 0.000 0.000 0.000
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F B F F F F F F
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 266 0 786 0 0 0 0 0 -1
normalized size 1 0.00 2.95 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.050 4.735 2.485 0.000 0.934 0.000 0.000 0.000
Problem 348 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 0.069 8.061 1.531 0.000 0.607 0.000 0.000 0.000
Problem 349 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 0.061 0.709 1.648 0.000 0.607 0.000 0.000 0.000
Problem 350 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 0.062 3.001 1.780 0.000 0.633 0.000 0.000 0.000
Problem 351 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 0.070 3.894 1.566 0.000 0.903 0.000 0.000 0.000
Problem 352 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 0.045 3.490 2.120 0.000 0.804 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 177 177 298 0 0 0 0 0 -1
normalized size 1 1.00 1.68 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.201 3.313 1.244 0.000 0.523 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 102 102 118 0 0 0 0 0 -1
normalized size 1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.092 1.346 1.142 0.000 0.504 0.000 0.000 0.000
Problem 355 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 48 48 49 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.037 0.448 1.001 0.000 0.434 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 162 162 163 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.177 1.694 1.357 0.000 0.450 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 F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 279 279 256 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 0.231 7.010 1.134 0.000 0.737 0.000 0.000 0.000
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.039 6.654 1.103 0.000 0.516 0.000 0.000 0.000
Problem 359 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 237 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.330 3.550 0.839 0.000 0.469 0.000 0.000 0.000
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.041 3.723 1.048 0.000 0.561 0.000 0.000 0.000
Problem 361 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 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.041 6.239 1.199 0.000 0.945 0.000 0.000 0.000
Problem 362 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 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 0.046 4.408 1.894 0.000 0.632 0.000 0.000 0.000
Problem 363 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 0.043 5.596 1.653 0.000 0.610 0.000 0.000 0.000
Problem 364 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 0.044 5.087 1.581 0.000 0.609 0.000 0.000 0.000
Problem 365 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 0.046 6.184 1.448 0.000 0.744 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 [316] had the largest ratio of [.9200]

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 3 2 1.00 19 0.105
2 A 3 2 1.00 19 0.105
3 A 3 2 1.00 19 0.105
4 A 3 2 1.00 19 0.105
5 A 3 2 1.00 17 0.118
6 A 2 2 1.00 17 0.118
7 A 3 2 1.00 19 0.105
8 A 3 2 1.00 19 0.105
9 A 3 2 1.00 19 0.105
10 A 6 2 1.00 19 0.105
11 A 5 2 1.00 19 0.105
12 A 4 2 1.00 19 0.105
13 A 3 2 1.00 19 0.105
14 A 2 2 1.00 19 0.105
15 A 3 2 1.00 19 0.105
16 A 4 2 1.00 19 0.105
17 A 5 2 1.00 19 0.105
18 A 6 2 1.00 19 0.105
19 A 3 2 1.00 21 0.095
20 A 3 2 1.00 21 0.095
21 A 3 2 1.00 21 0.095
22 A 3 2 1.00 21 0.095
23 A 3 2 1.00 19 0.105
24 A 3 2 1.00 19 0.105
25 A 3 2 1.00 21 0.095
26 A 3 2 1.00 21 0.095
27 A 3 2 1.00 21 0.095
28 A 3 2 1.00 21 0.095
29 A 12 7 1.00 21 0.333
30 A 10 7 1.00 21 0.333
31 A 8 7 1.00 21 0.333
32 A 8 5 1.00 21 0.238
33 A 9 6 1.00 21 0.286
34 A 11 7 1.00 21 0.333
35 A 12 7 1.00 21 0.333
36 A 13 7 1.00 21 0.333
37 A 3 2 1.00 21 0.095
38 A 3 2 1.00 21 0.095
39 A 3 2 1.00 21 0.095
40 A 3 2 1.00 21 0.095
41 A 3 2 1.00 19 0.105
42 A 3 2 1.00 19 0.105
43 A 3 2 1.00 21 0.095
44 A 3 2 1.00 21 0.095
45 A 3 2 1.00 21 0.095
46 A 3 2 1.00 21 0.095
47 A 17 8 1.00 21 0.381
48 A 14 8 1.00 21 0.381
49 A 11 8 1.00 21 0.381
50 A 11 8 1.00 21 0.381
51 A 11 6 1.00 21 0.286
52 A 14 8 1.00 21 0.381
53 A 15 8 1.00 21 0.381
54 A 16 8 1.00 21 0.381
55 A 17 8 1.00 21 0.381
56 A 3 2 1.00 21 0.095
57 A 3 2 1.00 21 0.095
58 A 3 2 1.00 21 0.095
59 A 3 2 1.00 21 0.095
60 A 2 2 1.00 19 0.105
61 A 3 2 1.00 19 0.105
62 A 3 2 1.00 21 0.095
63 A 3 2 1.00 21 0.095
64 A 6 3 1.00 21 0.143
65 A 5 3 1.00 21 0.143
66 A 4 3 1.00 21 0.143
67 A 3 2 1.00 21 0.095
68 A 4 3 1.00 21 0.143
69 A 5 3 1.00 21 0.143
70 A 6 3 1.00 21 0.143
71 A 3 2 1.00 21 0.095
72 A 3 2 1.00 21 0.095
73 A 3 2 1.00 21 0.095
74 A 3 2 1.00 21 0.095
75 A 3 2 1.00 19 0.105
76 A 3 2 1.00 19 0.105
77 A 3 2 1.00 21 0.095
78 A 3 2 1.00 21 0.095
79 A 11 8 1.00 21 0.381
80 A 9 8 1.00 21 0.381
81 A 5 5 1.00 21 0.238
82 A 9 6 1.06 21 0.286
83 A 12 8 1.00 21 0.381
84 A 13 8 1.00 21 0.381
85 A 14 8 1.00 21 0.381
86 A 3 2 1.00 21 0.095
87 A 3 2 1.00 21 0.095
88 A 3 2 1.00 21 0.095
89 A 3 2 1.00 21 0.095
90 A 3 2 1.00 21 0.095
91 A 3 2 1.00 19 0.105
92 A 3 2 1.00 19 0.105
93 A 3 2 1.00 21 0.095
94 A 3 2 1.00 21 0.095
95 A 18 9 1.00 21 0.429
96 A 15 9 1.00 21 0.429
97 A 12 9 1.00 21 0.429
98 A 6 6 1.00 21 0.286
99 A 12 9 1.04 21 0.429
100 A 12 7 1.18 21 0.333
101 A 16 9 1.00 21 0.429
102 A 17 9 1.00 21 0.429
103 A 18 9 1.00 21 0.429
104 A 17 14 1.00 23 0.609
105 A 16 13 1.00 23 0.565
106 A 16 13 1.00 23 0.565
107 A 15 12 1.00 23 0.522
108 A 17 14 1.00 23 0.609
109 A 16 13 1.00 23 0.565
110 A 18 14 1.00 23 0.609
111 A 21 17 1.00 25 0.680
112 A 20 16 1.00 25 0.640
113 A 19 15 1.00 25 0.600
114 A 18 14 1.00 25 0.560
115 A 20 16 1.00 25 0.640
116 A 20 16 1.00 25 0.640
117 A 22 17 1.00 25 0.680
118 A 18 14 1.00 25 0.560
119 A 18 15 1.00 25 0.600
120 A 17 14 1.00 25 0.560
121 A 17 14 1.00 25 0.560
122 A 16 13 1.00 25 0.520
123 A 18 15 1.00 25 0.600
124 A 17 14 1.00 25 0.560
125 A 19 15 1.00 25 0.600
126 A 18 14 1.00 25 0.560
127 A 22 18 1.00 25 0.720
128 A 21 17 1.00 25 0.680
129 A 20 16 1.00 25 0.640
130 A 19 15 1.00 25 0.600
131 A 21 17 1.00 25 0.680
132 A 21 17 1.00 25 0.680
133 A 23 18 1.00 25 0.720
134 A 23 17 1.00 25 0.680
135 A 8 5 1.00 23 0.217
136 A 6 5 1.00 23 0.217
137 A 4 4 1.00 21 0.190
138 A 6 4 1.00 21 0.190
139 A 8 6 1.00 23 0.261
140 A 10 7 1.00 23 0.304
141 A 4 3 1.00 23 0.130
142 A 4 3 1.00 23 0.130
143 A 4 4 1.00 23 0.174
144 A 5 4 1.00 23 0.174
145 A 7 5 1.00 23 0.217
146 A 9 6 1.00 23 0.261
147 A 9 5 1.00 23 0.217
148 A 7 5 1.00 23 0.217
149 A 5 4 1.00 21 0.190
150 A 6 4 1.00 21 0.190
151 A 7 5 1.00 23 0.217
152 A 9 7 1.00 23 0.304
153 A 4 3 1.00 23 0.130
154 A 4 3 1.00 23 0.130
155 A 4 3 1.00 23 0.130
156 A 3 3 1.00 23 0.130
157 A 6 5 1.00 23 0.217
158 A 8 5 1.00 23 0.217
159 A 10 5 1.00 23 0.217
160 A 8 5 1.00 23 0.217
161 A 6 4 1.00 21 0.190
162 A 7 5 1.00 21 0.238
163 A 7 5 1.00 23 0.217
164 A 8 6 1.00 23 0.261
165 A 4 3 1.00 23 0.130
166 A 4 3 1.00 23 0.130
167 A 4 3 1.00 23 0.130
168 A 3 3 1.00 23 0.130
169 A 4 3 1.00 23 0.130
170 A 7 5 1.00 23 0.217
171 A 7 5 1.00 23 0.217
172 A 5 5 1.00 23 0.217
173 A 3 3 1.00 21 0.143
174 A 7 5 1.00 21 0.238
175 A 9 6 1.00 23 0.261
176 A 11 7 1.00 23 0.304
177 A 4 3 1.00 23 0.130
178 A 5 4 1.00 23 0.174
179 A 3 3 1.00 23 0.130
180 A 6 5 1.00 23 0.217
181 A 8 6 1.00 23 0.261
182 A 10 6 1.00 23 0.261
183 A 6 5 1.00 23 0.217
184 A 4 4 1.00 23 0.174
185 A 4 4 1.00 21 0.190
186 A 8 6 1.00 21 0.286
187 A 10 6 1.00 23 0.261
188 A 12 7 1.00 23 0.304
189 A 5 4 1.00 23 0.174
190 A 4 3 1.00 23 0.130
191 A 4 3 1.00 23 0.130
192 A 7 6 1.00 23 0.261
193 A 9 6 1.00 23 0.261
194 A 11 6 1.00 23 0.261
195 A 5 4 1.00 23 0.174
196 A 4 4 1.00 23 0.174
197 A 5 4 1.00 21 0.190
198 A 9 6 1.00 21 0.286
199 A 11 6 1.00 23 0.261
200 A 13 7 1.00 23 0.304
201 A 4 3 1.00 23 0.130
202 A 5 4 1.00 23 0.174
203 A 5 4 1.00 23 0.174
204 A 8 6 1.00 23 0.261
205 A 10 6 1.00 23 0.261
206 A 12 6 1.00 23 0.261
207 A 7 5 1.28 23 0.217
208 A 1 1 1.00 23 0.043
209 A 8 6 1.00 23 0.261
210 A 7 6 1.00 23 0.261
211 A 4 4 1.00 21 0.190
212 A 5 5 1.00 23 0.217
213 A 8 7 1.00 23 0.304
214 A 9 7 1.00 23 0.304
215 A 1 1 1.00 25 0.040
216 A 1 1 1.00 25 0.040
217 A 1 1 1.00 25 0.040
218 A 1 1 1.00 25 0.040
219 A 4 3 1.00 21 0.143
220 A 4 3 1.00 21 0.143
221 A 3 3 1.00 21 0.143
222 A 2 2 1.00 19 0.105
223 A 4 4 1.00 19 0.210
224 A 5 5 1.00 21 0.238
225 A 1 1 1.00 21 0.048
226 A 1 1 1.00 21 0.048
227 A 1 1 1.00 21 0.048
228 A 1 1 1.00 21 0.048
229 A 1 1 1.00 23 0.043
230 A 1 1 1.00 23 0.043
231 A 1 1 1.00 23 0.043
232 A 1 1 1.00 23 0.043
233 A 17 14 1.00 23 0.609
234 A 18 15 1.00 23 0.652
235 A 16 13 1.00 23 0.565
236 A 17 14 1.00 23 0.609
237 A 17 14 1.00 23 0.609
238 A 21 17 1.00 25 0.680
239 A 21 17 1.00 25 0.680
240 A 19 15 1.00 25 0.600
241 A 20 16 1.00 25 0.640
242 A 21 17 1.00 25 0.680
243 A 20 16 1.00 25 0.640
244 A 18 15 1.00 25 0.600
245 A 19 16 1.00 25 0.640
246 A 17 14 1.00 25 0.560
247 A 18 15 1.00 25 0.600
248 A 18 15 1.00 25 0.600
249 A 19 16 1.00 25 0.640
250 A 24 19 1.00 25 0.760
251 A 22 18 1.00 25 0.720
252 A 22 18 1.00 25 0.720
253 A 20 16 1.00 25 0.640
254 A 21 17 1.00 25 0.680
255 A 22 18 1.00 25 0.720
256 A 7 5 1.00 19 0.263
257 A 6 5 1.00 19 0.263
258 A 5 5 1.00 19 0.263
259 A 4 4 1.00 17 0.235
260 A 5 4 1.00 17 0.235
261 A 6 5 1.00 19 0.263
262 A 7 5 1.00 19 0.263
263 A 8 5 1.00 19 0.263
264 A 5 2 1.00 19 0.105
265 A 4 2 1.00 19 0.105
266 A 3 2 1.00 19 0.105
267 A 2 2 1.00 19 0.105
268 A 3 2 1.00 19 0.105
269 A 4 2 1.00 19 0.105
270 A 5 2 1.00 19 0.105
271 A 3 2 1.17 21 0.095
272 A 3 2 1.13 21 0.095
273 A 3 2 1.14 21 0.095
274 A 3 2 1.00 21 0.095
275 A 3 2 1.00 19 0.105
276 A 3 2 1.00 19 0.105
277 A 4 3 1.00 21 0.143
278 A 5 4 1.00 21 0.190
279 A 12 7 1.00 21 0.333
280 A 10 7 1.00 21 0.333
281 A 8 7 1.00 21 0.333
282 A 8 5 1.00 21 0.238
283 A 9 6 1.00 21 0.286
284 A 11 7 1.00 21 0.333
285 A 12 7 1.00 21 0.333
286 A 3 2 1.00 21 0.095
287 A 3 2 1.00 21 0.095
288 A 3 2 1.00 21 0.095
289 A 3 2 1.00 21 0.095
290 A 4 4 1.00 19 0.210
291 A 3 2 1.00 19 0.105
292 A 3 2 1.00 21 0.095
293 A 3 2 1.00 21 0.095
294 A 15 8 1.37 21 0.381
295 A 6 6 1.00 21 0.286
296 A 7 7 1.00 21 0.333
297 A 9 8 1.27 21 0.381
298 A 15 8 1.45 21 0.381
299 A 3 2 1.00 21 0.095
300 A 3 2 1.00 21 0.095
301 A 3 2 1.00 21 0.095
302 A 3 2 1.00 21 0.095
303 A 3 2 1.00 19 0.105
304 A 3 2 1.00 19 0.105
305 A 3 2 1.00 21 0.095
306 A 3 2 1.00 21 0.095
307 A 16 10 1.42 21 0.476
308 A 6 6 1.00 21 0.286
309 A 6 6 1.00 21 0.286
310 A 11 7 1.00 21 0.333
311 A 15 8 1.00 21 0.381
312 A 38 22 1.00 25 0.880
313 A 35 19 1.00 25 0.760
314 A 21 16 1.00 25 0.640
315 A 19 14 1.00 25 0.560
316 A 39 23 1.00 25 0.920
317 A 36 20 1.00 25 0.800
318 A 5 4 1.00 23 0.174
319 A 5 4 1.00 23 0.174
320 A 4 4 1.00 21 0.190
321 A 7 5 1.00 21 0.238
322 A 13 9 1.00 23 0.391
323 A 7 7 1.00 23 0.304
324 A 1 1 1.00 14 0.071
325 A 5 4 1.00 23 0.174
326 A 5 4 1.00 23 0.174
327 A 5 4 1.00 23 0.174
328 A 3 3 1.00 21 0.143
329 A 7 5 1.00 21 0.238
330 A 11 6 1.00 23 0.261
331 A 11 8 1.51 23 0.348
332 A 6 6 1.00 23 0.261
333 A 1 1 1.00 14 0.071
334 A 9 8 1.00 23 0.348
335 A 5 4 1.00 23 0.174
336 A 5 4 1.00 23 0.174
337 A 4 4 1.00 21 0.190
338 A 7 4 1.00 21 0.190
339 A 11 5 1.34 23 0.217
340 A 17 11 1.71 23 0.478
341 A 7 7 1.00 23 0.304
342 A 6 6 1.00 14 0.429
343 A 14 11 1.48 23 0.478
344 A 8 6 1.00 23 0.261
345 A 7 6 1.00 23 0.261
346 A 4 4 1.00 21 0.190
347 F 0 0 N/A 0 N/A
348 A 0 0 0.00 0 0.000
349 A 0 0 0.00 0 0.000
350 A 0 0 0.00 0 0.000
351 A 0 0 0.00 0 0.000
352 A 0 0 0.00 0 0.000
353 A 5 4 1.00 21 0.190
354 A 4 4 1.00 21 0.190
355 A 2 2 1.00 19 0.105
356 A 8 5 1.00 19 0.263
357 A 10 5 1.00 21 0.238
358 A 0 0 0.00 0 0.000
359 A 0 0 0.00 0 0.000
360 A 0 0 0.00 0 0.000
361 A 0 0 0.00 0 0.000
362 A 0 0 0.00 0 0.000
363 A 0 0 0.00 0 0.000
364 A 0 0 0.00 0 0.000
365 A 0 0 0.00 0 0.000

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