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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

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

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 4, 5, 6, 7, 10, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 65, 66, 69, 70, 71, 74, 75, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 91, 92, 101, 108, 109, 110, 111, 116, 117, 118, 119, 123, 124, 125, 126, 127, 131, 132, 133, 134, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 203, 204, 206, 207, 208, 211, 212, 213, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 235, 238, 239, 241, 242, 244, 245, 246, 247, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 266, 267, 269, 270, 271, 275, 276, 277, 279, 281, 282, 285, 286, 287, 288, 289, 293, 294, 295, 296, 298, 299, 302, 303, 305, 306, 332, 334, 336, 337, 341, 350, 351, 352, 358 }

B grade: { 8, 11, 12, 14, 21, 22, 32, 33, 34, 35, 46, 47, 48, 49, 50, 55, 63, 64, 67, 68, 72, 73, 76, 78, 79, 89, 90, 98, 99, 100, 115, 170, 171, 172, 232, 233, 234, 236, 237, 240, 243, 264, 265, 268, 272, 273, 274, 278, 280, 283, 284, 297, 301, 304, 335, 339, 340, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

C grade: { 3, 9, 93, 94, 95, 96, 97, 102, 103, 104, 105, 106, 107, 112, 113, 114, 120, 121, 122, 128, 129, 130, 135, 136, 176, 183, 195, 198, 199, 200, 201, 202, 205, 209, 210, 214, 215, 216, 217, 248, 249, 250, 290, 291, 292, 300, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 338 }

F grade: { 13, 196, 197, 328, 329, 330, 331, 333, 348, 349 }

2.1.3 Maple

A grade: { 18, 20, 21, 23, 24, 25, 32, 35, 36, 37, 43, 50, 51, 55, 56, 57, 58, 59, 63, 65, 68, 69, 74, 75, 80, 81, 82, 83, 84, 85, 89, 90, 91, 92, 93, 94, 98, 99, 100, 101, 102, 103, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 130, 132, 133, 134, 137, 139, 140, 141, 142, 147, 149, 150, 151, 152, 160, 161, 162, 163, 177, 185, 191, 194, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 261, 268, 269, 275, 281, 282, 286, 287, 288, 289, 290, 293, 294, 295, 296, 300, 301, 302, 303, 310, 311, 358 }

B grade: { 16, 17, 19, 22, 26, 27, 28, 29, 30, 31, 33, 34, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 52, 53, 54, 60, 61, 62, 64, 66, 67, 70, 71, 72, 73, 76, 77, 78, 79, 86, 87, 88, 95, 96, 97, 104, 105, 106, 107, 114, 122, 131, 135, 136, 138, 143, 144, 145, 146, 148, 153, 154, 155, 156, 157, 158, 159, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 235, 248, 249, 250, 255, 256, 257, 260, 262, 263, 264, 265, 266, 267, 270, 271, 272, 273, 274, 276, 277, 278, 279, 280, 283, 284, 285, 291, 292, 297, 298, 299, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 352, 353, 354, 355, 356, 357 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 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, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351 }

2.1.4 Maxima

A grade: { 17, 18, 20, 30, 43, 56, 66, 77, 135, 176, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 261, 358 }

B grade: { 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 108, 109, 110, 111, 115, 116, 117, 118, 119, 123, 124, 125, 126, 127, 144, 155, 168, 182, 189, 205, 206, 207, 235, 236, 237, 238, 239, 240, 241, 242, 243, 260, 265, 266, 267, 268, 272, 273, 274, 275, 279, 280, 281, 282 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 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, 112, 113, 114, 120, 121, 122, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 183, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 248, 249, 250, 255, 256, 257, 262, 263, 264, 269, 270, 271, 276, 277, 278, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357 }

2.1.5 FriCAS

A grade: { 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 38, 39, 40, 41, 42, 43, 44, 45, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 89, 102, 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, 137, 138, 139, 140, 141, 142, 146, 147, 148, 149, 150, 151, 152, 157, 158, 159, 160, 161, 162, 163, 164, 171, 172, 173, 178, 179, 184, 185, 186, 191, 192, 193, 194, 206, 207, 211, 212, 213, 222, 223, 224, 225, 226, 227, 228, 229, 244, 245, 246, 247, 248, 251, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 263, 268, 275, 282, 286, 287, 288, 289, 290, 293, 294, 295, 296, 300, 301, 302, 303, 350, 351, 358 }

B grade: { 16, 21, 22, 32, 33, 34, 35, 36, 37, 46, 47, 48, 49, 50, 51, 55, 63, 64, 71, 72, 73, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 170, 205, 218, 219, 220, 221, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 249, 250, 257, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 276, 277, 278, 279, 280, 281, 283, 284, 285, 291, 292, 297, 298, 299, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 352 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 135, 136, 143, 144, 145, 153, 154, 155, 156, 165, 166, 167, 168, 169, 174, 175, 176, 177, 180, 181, 182, 183, 187, 188, 189, 190, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 208, 209, 210, 214, 215, 216, 217, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 353, 354, 355, 356, 357 }

2.1.6 Sympy

A grade: { 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 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, 224, 225, 226, 227, 235, 236, 237, 238, 239, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 260, 261, 266, 267, 268, 273, 274, 275, 279, 280, 281, 282 }

B grade: { }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 37, 49, 50, 51, 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, 228, 229, 230, 231, 232, 233, 234, 240, 241, 242, 243, 248, 249, 250, 255, 256, 257, 262, 263, 264, 265, 269, 270, 271, 272, 276, 277, 278, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358 }

2.1.7 Giac

A grade: { 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 52, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 70, 71, 72, 73, 74, 75, 77, 224, 225, 226, 227, 228, 230, 231, 233, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 251, 252, 253, 254, 255, 258, 259, 260, 261, 266, 268, 269, 274, 275, 276, 277, 281, 282, 358 }

B grade: { 15, 16, 21, 34, 35, 36, 37, 48, 49, 50, 51, 55, 61, 67, 68, 69, 76, 78, 79, 80, 229, 232, 234, 250, 256, 257, 262, 263, 264, 265, 267, 270, 271, 272, 273, 278, 279, 280, 283, 284, 285, 352 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 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, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357 }

2.1.8 Mupad

A grade: { 358 }

B grade: { 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, 111, 118, 119, 125, 126, 127, 131, 132, 133, 134, 138, 139, 140, 141, 142, 147, 148, 149, 150, 151, 152, 158, 159, 160, 161, 162, 163, 164, 171, 172, 173, 191, 205, 206, 207, 211, 212, 213, 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, 310, 350, 351, 352 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 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, 112, 113, 114, 115, 116, 117, 120, 121, 122, 123, 124, 128, 129, 130, 135, 136, 137, 143, 144, 145, 146, 153, 154, 155, 156, 157, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 208, 209, 210, 214, 215, 216, 217, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 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 F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 373 373 248 0 0 0 0 0 -1
normalized size 1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.841 2.349 8.248 0.000 0.447 0.000 0.000 0.000
Problem 2 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 277 277 204 0 0 0 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.492 1.548 7.543 0.000 0.441 0.000 0.000 0.000
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 392 0 0 0 0 0 -1
normalized size 1 1.00 2.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 3.846 5.395 0.000 0.427 0.000 0.000 0.000
Problem 4 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 202 202 157 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.224 0.889 1.973 0.000 0.448 0.000 0.000 0.000
Problem 5 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 279 279 212 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.488 1.327 11.460 0.000 0.446 0.000 0.000 0.000
Problem 6 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 362 362 260 0 0 0 0 0 -1
normalized size 1 1.00 0.72 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.846 4.574 11.615 0.000 0.446 0.000 0.000 0.000
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 336 336 596 0 0 0 0 0 -1
normalized size 1 1.00 1.77 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.872 18.383 1.087 0.000 0.485 0.000 0.000 0.000
Problem 8 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 229 229 478 0 0 0 0 0 -1
normalized size 1 1.00 2.09 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.494 15.404 1.051 0.000 0.478 0.000 0.000 0.000
Problem 9 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 137 137 409 0 0 0 0 0 -1
normalized size 1 1.00 2.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.213 67.653 1.055 0.000 0.467 0.000 0.000 0.000
Problem 10 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 152 152 250 0 0 0 0 0 -1
normalized size 1 1.00 1.64 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.396 4.857 0.895 0.000 0.462 0.000 0.000 0.000
Problem 11 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 226 226 523 0 0 0 0 0 -1
normalized size 1 1.00 2.31 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.675 21.903 0.893 0.000 0.455 0.000 0.000 0.000
Problem 12 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 221 221 5918 0 0 0 0 0 -1
normalized size 1 1.00 26.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.453 22.178 6.039 0.000 0.451 0.000 0.000 0.000
Problem 13 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 114 114 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 0.156 11.252 5.908 0.000 0.457 0.000 0.000 0.000
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 107 0 0 41 0 0 61
normalized size 1 1.00 2.89 0.00 0.00 1.11 0.00 0.00 1.65
time (sec) N/A 0.119 1.635 4.153 0.000 0.448 0.000 0.000 12.982
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 0 0 41 0 5502 38
normalized size 1 1.00 1.00 0.00 0.00 1.17 0.00 157.20 1.09
time (sec) N/A 0.094 0.386 1.659 0.000 0.446 0.000 64.011 12.848
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 147 493 0 804 0 371 3718
normalized size 1 1.00 0.96 3.22 0.00 5.25 0.00 2.42 24.30
time (sec) N/A 0.393 0.879 0.372 0.000 0.522 0.000 0.177 17.182
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 131 342 336 123 853 184 454
normalized size 1 1.00 0.72 1.88 1.85 0.68 4.69 1.01 2.49
time (sec) N/A 0.295 0.983 0.586 0.602 0.439 7.882 0.172 14.833
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 95 208 200 102 486 145 389
normalized size 1 1.00 0.67 1.46 1.41 0.72 3.42 1.02 2.74
time (sec) N/A 0.250 0.843 0.485 0.328 0.436 4.093 0.179 13.800
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 105 74 185 179 82 396 114 345
normalized size 1 1.08 0.76 1.91 1.85 0.85 4.08 1.18 3.56
time (sec) N/A 0.186 0.675 0.391 0.334 0.447 2.126 0.143 13.381
Problem 20 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 49 49 48 74 73 43 138 58 122
normalized size 1 1.00 0.98 1.51 1.49 0.88 2.82 1.18 2.49
time (sec) N/A 0.083 0.156 0.287 0.383 0.449 0.788 0.145 14.329
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 125 113 265 116 828 124 111
normalized size 1 1.00 2.23 2.02 4.73 2.07 14.79 2.21 1.98
time (sec) N/A 0.169 0.928 0.407 0.588 0.424 4.034 0.154 12.636
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 160 160 456 162 700 92 132
normalized size 1 1.00 2.22 2.22 6.33 2.25 9.72 1.28 1.83
time (sec) N/A 0.225 0.625 0.438 0.435 0.440 8.108 0.149 12.506
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 147 115 737 183 1035 139 172
normalized size 1 1.00 1.41 1.11 7.09 1.76 9.95 1.34 1.65
time (sec) N/A 0.237 0.736 0.481 0.533 0.414 15.781 0.183 12.981
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 174 159 1080 251 1831 187 228
normalized size 1 1.00 1.23 1.12 7.61 1.77 12.89 1.32 1.61
time (sec) N/A 0.285 0.902 0.467 0.386 0.423 29.472 0.199 13.223
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 200 203 1425 305 3232 267 310
normalized size 1 1.00 1.14 1.15 8.10 1.73 18.36 1.52 1.76
time (sec) N/A 0.307 0.888 0.513 0.398 0.429 52.384 0.211 13.345
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 219 569 571 158 1586 278 661
normalized size 1 1.00 0.96 2.48 2.49 0.69 6.93 1.21 2.89
time (sec) N/A 0.368 2.043 0.670 0.543 0.462 25.002 0.225 15.132
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 163 463 460 135 1210 244 553
normalized size 1 1.00 0.86 2.45 2.43 0.71 6.40 1.29 2.93
time (sec) N/A 0.296 1.587 0.574 0.341 0.449 15.016 0.214 14.888
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 137 365 360 114 910 208 542
normalized size 1 1.00 0.93 2.48 2.45 0.78 6.19 1.41 3.69
time (sec) N/A 0.216 1.085 0.571 0.468 0.442 9.139 0.183 14.154
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 54 166 164 75 372 118 238
normalized size 1 1.00 0.61 1.87 1.84 0.84 4.18 1.33 2.67
time (sec) N/A 0.137 0.149 0.480 0.490 0.424 3.697 0.153 14.205
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 67 186 179 77 396 111 339
normalized size 1 1.00 0.68 1.90 1.83 0.79 4.04 1.13 3.46
time (sec) N/A 0.149 0.796 0.388 0.365 0.433 2.434 0.147 13.705
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 191 299 624 177 2365 163 244
normalized size 1 1.00 1.63 2.56 5.33 1.51 20.21 1.39 2.09
time (sec) N/A 0.289 1.299 0.431 0.484 0.429 8.092 0.177 14.701
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 238 198 839 237 2474 135 246
normalized size 1 1.00 2.18 1.82 7.70 2.17 22.70 1.24 2.26
time (sec) N/A 0.284 0.631 0.460 0.441 0.441 16.123 0.160 14.150
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 278 249 1139 277 1647 159 233
normalized size 1 1.00 2.48 2.22 10.17 2.47 14.71 1.42 2.08
time (sec) N/A 0.277 0.736 0.505 0.628 0.443 26.923 0.181 14.679
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 191 161 1571 263 2008 229 269
normalized size 1 1.00 2.55 2.15 20.95 3.51 26.77 3.05 3.59
time (sec) N/A 0.229 0.950 0.474 0.612 0.428 45.068 0.193 13.351
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 261 205 2087 335 3262 301 331
normalized size 1 1.00 2.27 1.78 18.15 2.91 28.37 2.62 2.88
time (sec) N/A 0.286 1.242 0.526 0.422 0.414 78.088 0.231 13.358
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 285 249 2604 407 4816 373 423
normalized size 1 1.00 1.83 1.60 16.69 2.61 30.87 2.39 2.71
time (sec) N/A 0.374 1.599 0.513 0.455 0.422 125.915 0.250 13.544
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 313 293 3120 475 0 445 500
normalized size 1 1.00 1.59 1.49 15.84 2.41 0.00 2.26 2.54
time (sec) N/A 0.465 3.646 0.573 0.689 0.444 0.000 0.325 14.053
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 255 651 661 181 1948 347 812
normalized size 1 1.00 0.96 2.46 2.49 0.68 7.35 1.31 3.06
time (sec) N/A 0.391 4.308 0.853 0.359 0.502 52.762 0.274 14.869
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 232 611 617 158 1753 301 705
normalized size 1 1.00 1.05 2.75 2.78 0.71 7.90 1.36 3.18
time (sec) N/A 0.322 2.571 0.763 0.347 0.503 37.384 0.254 14.929
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 209 568 571 137 1579 273 661
normalized size 1 1.00 1.15 3.14 3.15 0.76 8.72 1.51 3.65
time (sec) N/A 0.234 1.951 0.674 0.356 0.467 23.432 0.225 14.782
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 64 263 264 92 682 162 325
normalized size 1 1.00 0.55 2.25 2.26 0.79 5.83 1.38 2.78
time (sec) N/A 0.148 0.229 0.666 0.383 0.454 10.351 0.186 14.288
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 133 364 360 106 910 204 536
normalized size 1 1.00 0.96 2.64 2.61 0.77 6.59 1.48 3.88
time (sec) N/A 0.200 1.086 0.576 0.344 0.439 8.101 0.190 14.166
Problem 43 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 140 140 95 208 200 100 486 145 390
normalized size 1 1.00 0.68 1.49 1.43 0.71 3.47 1.04 2.79
time (sec) N/A 0.222 0.854 0.481 0.524 0.433 4.211 0.212 13.664
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 223 449 1139 218 4255 234 323
normalized size 1 1.00 1.43 2.88 7.30 1.40 27.28 1.50 2.07
time (sec) N/A 0.310 1.424 0.443 0.469 0.437 15.993 0.219 14.120
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 280 399 1386 286 4665 233 341
normalized size 1 1.00 1.72 2.45 8.50 1.75 28.62 1.43 2.09
time (sec) N/A 0.348 0.877 0.470 0.608 0.451 29.894 0.181 14.005
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 316 323 1685 337 4665 226 336
normalized size 1 1.00 2.07 2.11 11.01 2.20 30.49 1.48 2.20
time (sec) N/A 0.342 1.105 0.509 0.702 0.445 48.977 0.201 14.002
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 356 374 2118 363 2951 213 316
normalized size 1 1.00 2.36 2.48 14.03 2.40 19.54 1.41 2.09
time (sec) N/A 0.330 1.212 0.485 0.581 0.442 76.726 0.239 15.978
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 283 205 2701 331 3262 301 346
normalized size 1 1.00 3.68 2.66 35.08 4.30 42.36 3.91 4.49
time (sec) N/A 0.236 2.516 0.527 0.537 0.426 116.395 0.269 13.392
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 313 249 3390 405 0 373 408
normalized size 1 1.00 2.65 2.11 28.73 3.43 0.00 3.16 3.46
time (sec) N/A 0.289 2.939 0.519 0.529 0.448 0.000 0.312 13.544
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 339 293 4078 475 0 445 500
normalized size 1 1.00 2.17 1.88 26.14 3.04 0.00 2.85 3.21
time (sec) N/A 0.375 5.285 0.571 0.572 0.452 0.000 0.364 13.794
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 378 337 4765 541 0 517 577
normalized size 1 1.00 1.92 1.71 24.19 2.75 0.00 2.62 2.93
time (sec) N/A 0.444 6.694 0.576 0.683 0.455 0.000 0.388 13.963
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 274 678 1796 261 6690 343 397
normalized size 1 1.00 1.44 3.57 9.45 1.37 35.21 1.81 2.09
time (sec) N/A 0.363 2.362 0.429 0.644 0.461 26.866 0.202 14.778
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 220 449 1120 218 4255 235 319
normalized size 1 1.00 1.40 2.86 7.13 1.39 27.10 1.50 2.03
time (sec) N/A 0.318 1.398 0.410 0.456 0.458 16.310 0.164 14.012
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 188 299 608 179 2365 164 241
normalized size 1 1.00 1.59 2.53 5.15 1.52 20.04 1.39 2.04
time (sec) N/A 0.278 1.330 0.396 0.428 0.445 8.105 0.157 14.577
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 127 113 256 117 828 122 110
normalized size 1 1.00 2.23 1.98 4.49 2.05 14.53 2.14 1.93
time (sec) N/A 0.155 0.586 0.379 0.549 0.434 3.945 0.145 12.941
Problem 56 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 35 57 35 28 83 41 39
normalized size 1 1.00 1.00 1.63 1.00 0.80 2.37 1.17 1.11
time (sec) N/A 0.136 0.028 0.369 0.321 0.414 2.532 0.176 12.554
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 108 93 266 73 578 102 118
normalized size 1 1.00 1.71 1.48 4.22 1.16 9.17 1.62 1.87
time (sec) N/A 0.202 0.592 0.448 0.627 0.416 7.815 0.287 12.323
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 157 145 423 107 1236 177 178
normalized size 1 1.00 1.54 1.42 4.15 1.05 12.12 1.74 1.75
time (sec) N/A 0.257 0.890 0.546 0.638 0.420 15.149 0.260 12.469
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 240 189 619 141 2468 237 239
normalized size 1 1.00 1.69 1.33 4.36 0.99 17.38 1.67 1.68
time (sec) N/A 0.307 1.141 0.490 0.350 0.425 28.583 0.200 13.233
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 354 778 2982 370 10608 412 500
normalized size 1 1.00 1.48 3.24 12.42 1.54 44.20 1.72 2.08
time (sec) N/A 0.410 2.066 0.515 0.758 0.464 68.938 0.259 14.825
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 311 549 2094 322 7337 369 414
normalized size 1 1.00 1.73 3.05 11.63 1.79 40.76 2.05 2.30
time (sec) N/A 0.362 1.319 0.464 0.522 0.436 44.148 0.225 14.952
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 274 399 1378 291 4665 233 336
normalized size 1 1.00 1.69 2.46 8.51 1.80 28.80 1.44 2.07
time (sec) N/A 0.332 0.883 0.453 0.482 0.447 25.785 0.202 14.341
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 234 198 833 242 2474 136 242
normalized size 1 1.00 2.17 1.83 7.71 2.24 22.91 1.26 2.24
time (sec) N/A 0.277 0.596 0.426 0.461 0.447 15.057 0.192 14.527
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 156 160 452 166 702 92 133
normalized size 1 1.00 2.17 2.22 6.28 2.31 9.75 1.28 1.85
time (sec) N/A 0.207 0.584 0.415 0.457 0.436 7.386 0.160 12.826
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 110 97 265 69 578 102 117
normalized size 1 1.00 1.77 1.56 4.27 1.11 9.32 1.65 1.89
time (sec) N/A 0.197 0.512 0.444 0.349 0.408 7.228 0.176 12.286
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 53 145 47 41 469 87 82
normalized size 1 1.00 0.85 2.34 0.76 0.66 7.56 1.40 1.32
time (sec) N/A 0.140 0.125 0.352 0.386 0.420 7.631 0.196 12.383
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 237 183 651 116 2674 235 183
normalized size 1 1.00 2.55 1.97 7.00 1.25 28.75 2.53 1.97
time (sec) N/A 0.220 1.015 0.498 0.472 0.424 27.731 0.198 12.450
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 285 233 835 151 4228 295 197
normalized size 1 1.00 2.11 1.73 6.19 1.12 31.32 2.19 1.46
time (sec) N/A 0.270 0.964 0.502 0.368 0.434 49.831 0.230 12.749
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 329 277 998 187 5868 355 337
normalized size 1 1.00 1.88 1.58 5.70 1.07 33.53 2.03 1.93
time (sec) N/A 0.325 1.155 0.533 0.571 0.434 90.732 0.249 12.883
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 388 649 3282 429 10608 376 501
normalized size 1 1.00 1.60 2.67 13.51 1.77 43.65 1.55 2.06
time (sec) N/A 0.412 2.502 0.521 0.566 0.461 112.095 0.284 14.754
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 348 474 2394 392 7337 305 419
normalized size 1 1.00 1.73 2.36 11.91 1.95 36.50 1.52 2.08
time (sec) N/A 0.392 1.606 0.495 0.520 0.456 74.016 0.259 14.711
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 308 323 1679 338 4665 226 333
normalized size 1 1.00 2.01 2.11 10.97 2.21 30.49 1.48 2.18
time (sec) N/A 0.331 1.092 0.481 0.522 0.441 46.582 0.210 14.365
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 272 249 1134 279 1647 159 230
normalized size 1 1.00 2.47 2.26 10.31 2.54 14.97 1.45 2.09
time (sec) N/A 0.265 0.698 0.467 0.468 0.422 26.026 0.209 15.081
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 139 115 733 191 1035 138 172
normalized size 1 1.00 1.35 1.12 7.12 1.85 10.05 1.34 1.67
time (sec) N/A 0.225 0.824 0.453 0.354 0.418 13.789 0.169 13.026
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 156 145 423 106 1236 175 178
normalized size 1 1.00 1.53 1.42 4.15 1.04 12.12 1.72 1.75
time (sec) N/A 0.249 0.839 0.515 0.420 0.410 14.445 0.178 12.429
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 237 185 650 108 2674 235 183
normalized size 1 1.00 2.63 2.06 7.22 1.20 29.71 2.61 2.03
time (sec) N/A 0.204 1.051 0.463 0.374 0.424 27.389 0.203 12.469
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 65 227 60 56 1098 134 126
normalized size 1 1.00 0.77 2.70 0.71 0.67 13.07 1.60 1.50
time (sec) N/A 0.152 0.206 0.421 0.363 0.410 20.934 0.354 14.421
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 325 271 1019 150 6135 355 217
normalized size 1 1.00 2.69 2.24 8.42 1.24 50.70 2.93 1.79
time (sec) N/A 0.223 1.142 0.511 0.408 0.435 92.701 0.269 13.158
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 373 321 1201 185 8396 415 231
normalized size 1 1.00 2.30 1.98 7.41 1.14 51.83 2.56 1.43
time (sec) N/A 0.289 1.414 0.562 0.566 0.437 155.471 0.268 13.139
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 401 365 1387 221 0 475 474
normalized size 1 1.00 1.96 1.78 6.77 1.08 0.00 2.32 2.31
time (sec) N/A 0.345 3.548 0.509 0.577 0.457 0.000 0.304 14.522
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 149 119 0 287 0 0 -1
normalized size 1 1.00 0.75 0.60 0.00 1.45 0.00 0.00 -0.01
time (sec) N/A 0.487 2.988 1.301 0.000 0.436 0.000 0.000 0.000
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 123 103 0 243 0 0 -1
normalized size 1 1.00 0.78 0.66 0.00 1.55 0.00 0.00 -0.01
time (sec) N/A 0.412 1.518 1.230 0.000 0.432 0.000 0.000 0.000
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 104 81 0 184 0 0 -1
normalized size 1 1.00 0.90 0.70 0.00 1.59 0.00 0.00 -0.01
time (sec) N/A 0.320 0.958 1.109 0.000 0.424 0.000 0.000 0.000
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 87 63 0 130 0 0 -1
normalized size 1 1.00 1.19 0.86 0.00 1.78 0.00 0.00 -0.01
time (sec) N/A 0.240 0.422 1.310 0.000 0.422 0.000 0.000 0.000
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 166 159 0 254 0 0 -1
normalized size 1 1.00 1.36 1.30 0.00 2.08 0.00 0.00 -0.01
time (sec) N/A 0.336 1.264 1.486 0.000 0.442 0.000 0.000 0.000
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 157 227 0 318 0 0 -1
normalized size 1 1.00 1.37 1.97 0.00 2.77 0.00 0.00 -0.01
time (sec) N/A 0.318 1.606 1.239 0.000 0.449 0.000 0.000 0.000
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 199 268 0 394 0 0 -1
normalized size 1 1.00 1.58 2.13 0.00 3.13 0.00 0.00 -0.01
time (sec) N/A 0.335 2.240 1.607 0.000 0.461 0.000 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 217 352 0 490 0 0 -1
normalized size 1 1.00 1.33 2.16 0.00 3.01 0.00 0.00 -0.01
time (sec) N/A 0.373 3.451 1.733 0.000 0.455 0.000 0.000 0.000
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 1355 121 0 358 0 0 -1
normalized size 1 1.00 6.45 0.58 0.00 1.70 0.00 0.00 -0.00
time (sec) N/A 0.554 6.642 1.157 0.000 0.449 0.000 0.000 0.000
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 1173 105 0 313 0 0 -1
normalized size 1 1.00 7.02 0.63 0.00 1.87 0.00 0.00 -0.01
time (sec) N/A 0.453 6.515 1.258 0.000 0.444 0.000 0.000 0.000
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 106 83 0 228 0 0 -1
normalized size 1 1.00 0.88 0.69 0.00 1.90 0.00 0.00 -0.01
time (sec) N/A 0.387 4.594 1.269 0.000 0.430 0.000 0.000 0.000
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 89 65 0 193 0 0 -1
normalized size 1 1.00 1.10 0.80 0.00 2.38 0.00 0.00 -0.01
time (sec) N/A 0.330 0.582 1.295 0.000 0.440 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 175 197 0 310 0 0 -1
normalized size 1 1.00 1.09 1.22 0.00 1.93 0.00 0.00 -0.01
time (sec) N/A 0.442 1.182 1.489 0.000 0.446 0.000 0.000 0.000
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 355 282 0 385 0 0 -1
normalized size 1 1.00 2.02 1.60 0.00 2.19 0.00 0.00 -0.01
time (sec) N/A 0.481 0.896 1.465 0.000 0.451 0.000 0.000 0.000
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 344 386 0 449 0 0 -1
normalized size 1 1.00 1.97 2.21 0.00 2.57 0.00 0.00 -0.01
time (sec) N/A 0.478 1.170 1.599 0.000 0.453 0.000 0.000 0.000
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 342 354 0 521 0 0 -1
normalized size 1 1.00 1.95 2.02 0.00 2.98 0.00 0.00 -0.01
time (sec) N/A 0.491 1.771 1.690 0.000 0.464 0.000 0.000 0.000
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 357 440 0 654 0 0 -1
normalized size 1 1.00 1.61 1.98 0.00 2.95 0.00 0.00 -0.00
time (sec) N/A 0.511 2.687 1.697 0.000 0.489 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 1569 121 0 405 0 0 -1
normalized size 1 1.00 7.47 0.58 0.00 1.93 0.00 0.00 -0.00
time (sec) N/A 0.534 6.834 1.369 0.000 0.465 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 1351 105 0 334 0 0 -1
normalized size 1 1.00 8.39 0.65 0.00 2.07 0.00 0.00 -0.01
time (sec) N/A 0.472 6.714 1.341 0.000 0.440 0.000 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 1157 83 0 287 0 0 -1
normalized size 1 1.00 9.33 0.67 0.00 2.31 0.00 0.00 -0.01
time (sec) N/A 0.407 6.505 1.290 0.000 0.455 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 89 65 0 232 0 0 -1
normalized size 1 1.00 1.10 0.80 0.00 2.86 0.00 0.00 -0.01
time (sec) N/A 0.305 1.014 1.240 0.000 0.441 0.000 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 193 233 0 353 0 0 -1
normalized size 1 1.00 0.96 1.16 0.00 1.76 0.00 0.00 -0.00
time (sec) N/A 0.521 1.348 1.556 0.000 0.449 0.000 0.000 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 444 354 0 430 0 0 -1
normalized size 1 1.00 2.04 1.62 0.00 1.97 0.00 0.00 -0.00
time (sec) N/A 0.546 1.690 1.470 0.000 0.455 0.000 0.000 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 434 434 0 505 0 0 -1
normalized size 1 1.00 1.93 1.93 0.00 2.24 0.00 0.00 -0.00
time (sec) N/A 0.549 2.209 1.986 0.000 0.461 0.000 0.000 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 422 524 0 554 0 0 -1
normalized size 1 1.00 1.94 2.41 0.00 2.55 0.00 0.00 -0.00
time (sec) N/A 0.549 3.093 1.985 0.000 0.471 0.000 0.000 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 355 432 0 633 0 0 -1
normalized size 1 1.00 1.64 1.99 0.00 2.92 0.00 0.00 -0.00
time (sec) N/A 0.557 4.377 1.882 0.000 0.485 0.000 0.000 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 485 526 0 760 0 0 -1
normalized size 1 1.00 1.82 1.98 0.00 2.86 0.00 0.00 -0.00
time (sec) N/A 0.587 6.833 2.047 0.000 0.489 0.000 0.000 0.000
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 157 111 478 115 0 0 -1
normalized size 1 1.00 0.78 0.56 2.39 0.58 0.00 0.00 -0.00
time (sec) N/A 0.385 5.590 1.168 0.497 0.440 0.000 0.000 0.000
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 134 95 386 95 0 0 -1
normalized size 1 1.00 0.84 0.60 2.43 0.60 0.00 0.00 -0.01
time (sec) N/A 0.350 1.758 1.100 0.463 0.432 0.000 0.000 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 113 73 294 67 0 0 -1
normalized size 1 1.00 0.96 0.62 2.49 0.57 0.00 0.00 -0.01
time (sec) N/A 0.317 0.601 1.120 0.463 0.427 0.000 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 44 53 174 44 0 0 128
normalized size 1 1.00 0.60 0.73 2.38 0.60 0.00 0.00 1.75
time (sec) N/A 0.275 0.203 1.019 0.452 0.426 0.000 0.000 13.150
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 140 130 0 162 0 0 -1
normalized size 1 1.00 1.54 1.43 0.00 1.78 0.00 0.00 -0.01
time (sec) N/A 0.283 0.450 1.294 0.000 0.433 0.000 0.000 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 284 225 0 231 0 0 -1
normalized size 1 1.00 2.09 1.65 0.00 1.70 0.00 0.00 -0.01
time (sec) N/A 0.330 0.542 1.280 0.000 0.452 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 404 350 0 282 0 0 -1
normalized size 1 1.00 2.24 1.94 0.00 1.57 0.00 0.00 -0.01
time (sec) N/A 0.425 0.853 1.783 0.000 0.442 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 953 143 762 153 0 0 -1
normalized size 1 1.00 3.94 0.59 3.15 0.63 0.00 0.00 -0.00
time (sec) N/A 0.651 6.819 1.360 0.462 0.436 0.000 0.000 0.000
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 159 121 670 133 0 0 -1
normalized size 1 1.00 0.79 0.60 3.33 0.66 0.00 0.00 -0.00
time (sec) N/A 0.558 2.827 1.507 0.529 0.432 0.000 0.000 0.000
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 130 105 577 110 0 0 -1
normalized size 1 1.00 0.84 0.68 3.75 0.71 0.00 0.00 -0.01
time (sec) N/A 0.479 1.162 1.267 0.461 0.439 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 113 81 482 80 0 0 492
normalized size 1 1.00 0.98 0.70 4.19 0.70 0.00 0.00 4.28
time (sec) N/A 0.408 0.657 1.416 0.581 0.430 0.000 0.000 17.178
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 87 63 343 60 0 0 137
normalized size 1 1.00 1.12 0.81 4.40 0.77 0.00 0.00 1.76
time (sec) N/A 0.313 0.282 1.308 0.457 0.426 0.000 0.000 17.508
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 176 168 0 217 0 0 -1
normalized size 1 1.00 1.30 1.24 0.00 1.61 0.00 0.00 -0.01
time (sec) N/A 0.354 0.509 1.780 0.000 0.445 0.000 0.000 0.000
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 300 258 0 206 0 0 -1
normalized size 1 1.00 1.71 1.47 0.00 1.18 0.00 0.00 -0.01
time (sec) N/A 0.392 0.860 1.555 0.000 0.446 0.000 0.000 0.000
Problem 122 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 Yes TBD TBD TBD TBD TBD TBD
size 225 225 430 426 0 279 0 0 -1
normalized size 1 1.00 1.91 1.89 0.00 1.24 0.00 0.00 -0.00
time (sec) N/A 0.484 1.411 1.735 0.000 0.462 0.000 0.000 0.000
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 176 143 945 166 0 0 -1
normalized size 1 1.00 0.73 0.59 3.90 0.69 0.00 0.00 -0.00
time (sec) N/A 0.647 4.186 1.471 0.493 0.448 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 158 121 854 148 0 0 -1
normalized size 1 1.00 0.76 0.58 4.09 0.71 0.00 0.00 -0.00
time (sec) N/A 0.567 2.632 1.600 1.255 0.441 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 132 105 761 125 0 0 904
normalized size 1 1.00 0.82 0.66 4.76 0.78 0.00 0.00 5.65
time (sec) N/A 0.480 1.215 1.602 0.483 0.441 0.000 0.000 22.785
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 113 83 663 95 0 0 683
normalized size 1 1.00 0.93 0.69 5.48 0.79 0.00 0.00 5.64
time (sec) N/A 0.413 0.696 1.464 0.476 0.428 0.000 0.000 19.157
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 89 65 505 77 0 0 479
normalized size 1 1.00 1.05 0.76 5.94 0.91 0.00 0.00 5.64
time (sec) N/A 0.315 0.303 1.407 0.508 0.445 0.000 0.000 17.535
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 204 200 0 262 0 0 -1
normalized size 1 1.00 1.17 1.15 0.00 1.51 0.00 0.00 -0.01
time (sec) N/A 0.438 0.772 1.941 0.000 0.442 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 357 308 0 277 0 0 -1
normalized size 1 1.00 1.59 1.38 0.00 1.24 0.00 0.00 -0.00
time (sec) N/A 0.480 1.362 1.689 0.000 0.457 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 479 410 0 238 0 0 -1
normalized size 1 1.00 1.86 1.59 0.00 0.92 0.00 0.00 -0.00
time (sec) N/A 0.555 2.286 2.058 0.000 0.486 0.000 0.000 0.000
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 118 174 0 140 0 0 173
normalized size 1 1.00 1.26 1.85 0.00 1.49 0.00 0.00 1.84
time (sec) N/A 0.339 1.002 0.873 0.000 0.455 0.000 0.000 16.166
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 102 129 0 121 0 0 149
normalized size 1 1.00 1.09 1.37 0.00 1.29 0.00 0.00 1.59
time (sec) N/A 0.337 0.821 0.853 0.000 0.438 0.000 0.000 14.959
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 84 91 0 92 0 0 122
normalized size 1 1.00 0.89 0.97 0.00 0.98 0.00 0.00 1.30
time (sec) N/A 0.333 0.556 0.825 0.000 0.445 0.000 0.000 1.787
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 63 57 0 61 0 0 75
normalized size 1 1.00 0.68 0.62 0.00 0.66 0.00 0.00 0.82
time (sec) N/A 0.309 0.175 0.803 0.000 0.436 0.000 0.000 0.938
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B A F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 120 395 175 0 0 0 -1
normalized size 1 1.00 1.20 3.95 1.75 0.00 0.00 0.00 -0.01
time (sec) N/A 0.337 1.133 0.728 0.551 0.834 0.000 0.000 0.000
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 147 403 0 0 0 0 -1
normalized size 1 1.00 1.48 4.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.358 1.157 0.689 0.000 1.174 0.000 0.000 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 101 137 0 87 0 0 -1
normalized size 1 1.00 1.10 1.49 0.00 0.95 0.00 0.00 -0.01
time (sec) N/A 0.345 0.539 0.710 0.000 0.428 0.000 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 103 205 0 106 0 0 153
normalized size 1 1.00 1.10 2.18 0.00 1.13 0.00 0.00 1.63
time (sec) N/A 0.337 0.596 0.723 0.000 0.438 0.000 0.000 17.626
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 205 185 0 148 0 0 323
normalized size 1 1.00 1.40 1.27 0.00 1.01 0.00 0.00 2.21
time (sec) N/A 0.358 1.486 0.842 0.000 0.450 0.000 0.000 17.532
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 172 147 0 126 0 0 174
normalized size 1 1.00 1.18 1.01 0.00 0.86 0.00 0.00 1.19
time (sec) N/A 0.361 1.612 0.790 0.000 0.454 0.000 0.000 16.567
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 96 86 0 83 0 0 103
normalized size 1 1.00 0.72 0.64 0.00 0.62 0.00 0.00 0.77
time (sec) N/A 0.348 0.748 0.748 0.000 0.443 0.000 0.000 1.842
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 81 91 0 87 0 0 122
normalized size 1 1.00 0.84 0.95 0.00 0.91 0.00 0.00 1.27
time (sec) N/A 0.325 0.556 0.798 0.000 0.447 0.000 0.000 14.292
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 136 494 0 0 0 0 -1
normalized size 1 1.00 0.94 3.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.382 0.685 0.699 0.000 2.818 0.000 0.000 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 210 748 366 0 0 0 -1
normalized size 1 1.00 1.33 4.73 2.32 0.00 0.00 0.00 -0.01
time (sec) N/A 0.385 0.861 0.672 0.571 6.007 0.000 0.000 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 198 594 0 0 0 0 -1
normalized size 1 1.00 1.33 3.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.387 0.945 0.662 0.000 2.949 0.000 0.000 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 125 223 0 125 0 0 -1
normalized size 1 1.00 1.30 2.32 0.00 1.30 0.00 0.00 -0.01
time (sec) N/A 0.275 0.989 0.659 0.000 0.447 0.000 0.000 0.000
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 123 217 0 134 0 0 245
normalized size 1 1.00 0.84 1.49 0.00 0.92 0.00 0.00 1.68
time (sec) N/A 0.376 1.352 0.678 0.000 0.469 0.000 0.000 18.994
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 126 339 0 155 0 0 279
normalized size 1 1.00 0.82 2.20 0.00 1.01 0.00 0.00 1.81
time (sec) N/A 0.373 1.954 0.689 0.000 0.458 0.000 0.000 20.227
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 223 203 0 160 0 0 383
normalized size 1 1.00 1.13 1.03 0.00 0.81 0.00 0.00 1.93
time (sec) N/A 0.476 2.649 0.901 0.000 0.477 0.000 0.000 18.173
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 113 114 0 117 0 0 131
normalized size 1 1.00 0.63 0.63 0.00 0.65 0.00 0.00 0.73
time (sec) N/A 0.466 0.799 0.769 0.000 0.460 0.000 0.000 16.003
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 165 147 0 119 0 0 174
normalized size 1 1.00 1.16 1.04 0.00 0.84 0.00 0.00 1.23
time (sec) N/A 0.362 1.802 0.794 0.000 0.458 0.000 0.000 16.324
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 102 129 0 117 0 0 149
normalized size 1 1.00 1.06 1.34 0.00 1.22 0.00 0.00 1.55
time (sec) N/A 0.318 0.832 0.804 0.000 0.445 0.000 0.000 2.701
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 177 590 0 0 0 0 -1
normalized size 1 1.00 0.92 3.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.463 1.498 0.724 0.000 4.601 0.000 0.000 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 231 846 0 0 0 0 -1
normalized size 1 1.00 1.10 4.03 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.485 1.645 0.638 0.000 10.487 0.000 0.000 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 207 1092 506 0 0 0 -1
normalized size 1 1.00 0.98 5.15 2.39 0.00 0.00 0.00 -0.00
time (sec) N/A 0.490 1.165 0.648 0.480 1.107 0.000 0.000 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 204 832 0 0 0 0 -1
normalized size 1 1.00 1.04 4.24 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.488 1.191 0.688 0.000 6.120 0.000 0.000 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 145 309 0 165 0 0 -1
normalized size 1 1.00 1.51 3.22 0.00 1.72 0.00 0.00 -0.01
time (sec) N/A 0.276 2.964 0.678 0.000 0.452 0.000 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 146 368 0 182 0 0 341
normalized size 1 1.00 1.00 2.52 0.00 1.25 0.00 0.00 2.34
time (sec) N/A 0.376 4.080 0.697 0.000 0.458 0.000 0.000 20.756
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 144 423 0 196 0 0 357
normalized size 1 1.00 0.73 2.16 0.00 1.00 0.00 0.00 1.82
time (sec) N/A 0.483 5.616 0.718 0.000 0.472 0.000 0.000 20.715
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 269 259 0 183 0 0 482
normalized size 1 1.00 1.08 1.04 0.00 0.73 0.00 0.00 1.93
time (sec) N/A 0.567 6.850 0.826 0.000 0.528 0.000 0.000 20.031
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 135 142 0 134 0 0 384
normalized size 1 1.00 0.60 0.63 0.00 0.59 0.00 0.00 1.70
time (sec) N/A 0.559 1.583 0.839 0.000 0.484 0.000 0.000 17.653
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 232 203 0 150 0 0 383
normalized size 1 1.00 1.21 1.06 0.00 0.78 0.00 0.00 1.99
time (sec) N/A 0.460 2.073 0.850 0.000 0.484 0.000 0.000 18.428
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 212 185 0 142 0 0 321
normalized size 1 1.00 1.49 1.30 0.00 1.00 0.00 0.00 2.26
time (sec) N/A 0.359 1.852 0.803 0.000 0.460 0.000 0.000 18.169
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 121 174 0 139 0 0 173
normalized size 1 1.00 1.26 1.81 0.00 1.45 0.00 0.00 1.80
time (sec) N/A 0.325 0.965 0.824 0.000 0.453 0.000 0.000 16.679
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 183 671 0 0 0 0 -1
normalized size 1 1.00 0.77 2.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.569 2.836 0.688 0.000 0.961 0.000 0.000 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 292 927 0 0 0 0 -1
normalized size 1 1.00 1.08 3.42 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.593 3.496 0.646 0.000 1.168 0.000 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 251 1191 0 0 0 0 -1
normalized size 1 1.00 0.95 4.53 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.595 2.573 0.646 0.000 25.359 0.000 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 244 1455 749 0 0 0 -1
normalized size 1 1.00 0.92 5.51 2.84 0.00 0.00 0.00 -0.00
time (sec) N/A 0.609 2.900 0.661 1.185 44.324 0.000 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 238 1019 0 0 0 0 -1
normalized size 1 1.00 0.96 4.13 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.599 2.685 0.717 0.000 0.967 0.000 0.000 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 434 389 0 199 0 0 -1
normalized size 1 1.00 4.52 4.05 0.00 2.07 0.00 0.00 -0.01
time (sec) N/A 0.272 6.945 0.701 0.000 0.484 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 442 393 0 214 0 0 406
normalized size 1 1.00 3.03 2.69 0.00 1.47 0.00 0.00 2.78
time (sec) N/A 0.379 6.989 0.730 0.000 0.499 0.000 0.000 22.848
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 442 505 0 234 0 0 827
normalized size 1 1.00 2.19 2.50 0.00 1.16 0.00 0.00 4.09
time (sec) N/A 0.491 7.106 0.765 0.000 0.537 0.000 0.000 25.256
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 436 560 0 243 0 0 841
normalized size 1 1.00 1.77 2.28 0.00 0.99 0.00 0.00 3.42
time (sec) N/A 0.591 7.143 0.810 0.000 0.541 0.000 0.000 28.344
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 185 595 0 0 0 0 -1
normalized size 1 1.00 0.94 3.02 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.463 1.306 0.717 0.000 4.083 0.000 0.000 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 146 501 0 0 0 0 -1
normalized size 1 1.00 1.00 3.43 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.365 0.664 0.676 0.000 2.823 0.000 0.000 0.000
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B A F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 119 399 176 0 0 0 -1
normalized size 1 1.00 1.24 4.16 1.83 0.00 0.00 0.00 -0.01
time (sec) N/A 0.322 1.130 0.680 0.795 1.362 0.000 0.000 0.000
Problem 177 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 113 113 97 165 0 0 0 0 -1
normalized size 1 1.00 0.86 1.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.364 0.337 0.592 0.000 1.412 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 191 302 0 337 0 0 -1
normalized size 1 1.00 1.85 2.93 0.00 3.27 0.00 0.00 -0.01
time (sec) N/A 0.252 0.543 0.595 0.000 0.518 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 222 465 0 424 0 0 -1
normalized size 1 1.00 1.45 3.04 0.00 2.77 0.00 0.00 -0.01
time (sec) N/A 0.355 0.631 0.618 0.000 0.536 0.000 0.000 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 271 939 0 0 0 0 -1
normalized size 1 1.00 1.00 3.46 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.577 3.475 0.657 0.000 14.903 0.000 0.000 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 212 853 0 0 0 0 -1
normalized size 1 1.00 1.01 4.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.478 1.604 0.627 0.000 8.938 0.000 0.000 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 190 759 367 0 0 0 -1
normalized size 1 1.00 1.19 4.77 2.31 0.00 0.00 0.00 -0.01
time (sec) N/A 0.386 0.864 0.642 0.548 0.945 0.000 0.000 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 143 408 0 0 0 0 -1
normalized size 1 1.00 1.43 4.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.346 1.176 0.651 0.000 1.068 0.000 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 186 303 0 329 0 0 -1
normalized size 1 1.00 1.81 2.94 0.00 3.19 0.00 0.00 -0.01
time (sec) N/A 0.256 0.562 0.604 0.000 0.515 0.000 0.000 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 178 130 0 272 0 0 -1
normalized size 1 1.00 1.19 0.87 0.00 1.81 0.00 0.00 -0.01
time (sec) N/A 0.373 0.671 0.563 0.000 0.506 0.000 0.000 0.000
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 306 429 0 437 0 0 -1
normalized size 1 1.00 1.41 1.98 0.00 2.01 0.00 0.00 -0.00
time (sec) N/A 0.479 0.947 0.553 0.000 0.533 0.000 0.000 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 573 1287 0 0 0 0 -1
normalized size 1 1.00 1.77 3.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.713 7.012 0.675 0.000 45.496 0.000 0.000 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 243 1206 0 0 0 0 -1
normalized size 1 1.00 0.92 4.59 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.607 2.540 0.640 0.000 1.412 0.000 0.000 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 199 1106 504 0 0 0 -1
normalized size 1 1.00 0.94 5.24 2.39 0.00 0.00 0.00 -0.00
time (sec) N/A 0.494 1.155 0.631 0.493 1.125 0.000 0.000 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 179 606 0 0 0 0 -1
normalized size 1 1.00 1.20 4.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.392 0.979 0.644 0.000 2.705 0.000 0.000 0.000
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 99 135 0 85 0 0 156
normalized size 1 1.00 1.05 1.44 0.00 0.90 0.00 0.00 1.66
time (sec) N/A 0.333 0.509 0.661 0.000 0.431 0.000 0.000 14.861
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 214 466 0 408 0 0 -1
normalized size 1 1.00 1.42 3.09 0.00 2.70 0.00 0.00 -0.01
time (sec) N/A 0.354 0.673 0.626 0.000 0.527 0.000 0.000 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 305 431 0 419 0 0 -1
normalized size 1 1.00 1.47 2.07 0.00 2.01 0.00 0.00 -0.00
time (sec) N/A 0.480 0.961 0.569 0.000 0.546 0.000 0.000 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 246 151 0 306 0 0 -1
normalized size 1 1.00 1.00 0.62 0.00 1.25 0.00 0.00 -0.00
time (sec) N/A 0.570 0.937 0.602 0.000 0.560 0.000 0.000 0.000
Problem 195 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 174 174 2903 0 0 0 0 0 -1
normalized size 1 1.00 16.68 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.315 14.238 5.774 0.000 0.483 0.000 0.000 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 145 145 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 0.342 180.061 8.099 0.000 0.482 0.000 0.000 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 145 145 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 0.335 180.081 8.309 0.000 0.477 0.000 0.000 0.000
Problem 198 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 139 139 462 0 0 0 0 0 -1
normalized size 1 1.00 3.32 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.289 4.220 4.976 0.000 0.458 0.000 0.000 0.000
Problem 199 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 117 117 275 0 0 0 0 0 -1
normalized size 1 1.00 2.35 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 1.832 2.533 0.000 0.435 0.000 0.000 0.000
Problem 200 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 123 123 7409 0 0 0 0 0 -1
normalized size 1 1.00 60.24 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.303 25.568 1.087 0.000 0.452 0.000 0.000 0.000
Problem 201 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 148 148 9240 0 0 0 0 0 -1
normalized size 1 1.00 62.43 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.330 6.934 8.469 0.000 0.454 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 148 148 12580 0 0 0 0 0 -1
normalized size 1 1.00 85.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.332 7.178 9.297 0.000 0.490 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 200 0 0 0 0 0 -1
normalized size 1 1.00 1.69 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.294 4.870 0.983 0.000 0.458 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 200 0 0 0 0 0 -1
normalized size 1 1.00 1.69 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.288 2.383 1.115 0.000 0.462 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 667 0 725 562 0 0 749
normalized size 1 1.00 2.43 0.00 2.64 2.04 0.00 0.00 2.72
time (sec) N/A 0.503 6.819 1.342 0.546 0.487 0.000 0.000 21.060
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 192 174 0 498 313 0 0 480
normalized size 1 1.16 1.05 0.00 3.00 1.89 0.00 0.00 2.89
time (sec) N/A 0.354 1.766 1.282 0.533 0.499 0.000 0.000 19.203
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 116 0 323 165 0 0 105
normalized size 1 1.00 1.12 0.00 3.11 1.59 0.00 0.00 1.01
time (sec) N/A 0.282 0.442 1.280 0.536 0.468 0.000 0.000 1.442
Problem 208 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 118 118 200 0 0 0 0 0 -1
normalized size 1 1.00 1.69 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.282 2.229 0.016 0.000 0.467 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 134 134 3178 0 0 0 0 0 -1
normalized size 1 1.00 23.72 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.300 6.760 1.006 0.000 0.498 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(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 134 134 8147 0 0 0 0 0 -1
normalized size 1 1.00 60.80 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.332 6.872 1.038 0.000 0.492 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 267 267 353 0 0 205 0 0 368
normalized size 1 1.00 1.32 0.00 0.00 0.77 0.00 0.00 1.38
time (sec) N/A 0.427 14.131 5.935 0.000 0.488 0.000 0.000 22.233
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 191 191 269 0 0 137 0 0 239
normalized size 1 1.00 1.41 0.00 0.00 0.72 0.00 0.00 1.25
time (sec) N/A 0.310 10.734 6.181 0.000 0.485 0.000 0.000 15.484
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 114 114 211 0 0 89 0 0 134
normalized size 1 1.00 1.85 0.00 0.00 0.78 0.00 0.00 1.18
time (sec) N/A 0.222 8.790 5.410 0.000 0.480 0.000 0.000 14.158
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 675 0 0 0 0 0 -1
normalized size 1 1.00 4.14 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.309 11.616 2.870 0.000 0.448 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 2552 0 0 0 0 0 -1
normalized size 1 1.00 16.15 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.268 17.204 4.367 0.000 0.479 0.000 0.000 0.000
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 170 170 3601 0 0 0 0 0 -1
normalized size 1 1.00 21.18 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.329 92.471 3.809 0.000 0.478 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 5163 0 0 0 0 0 -1
normalized size 1 1.00 29.84 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.336 49.215 6.070 0.000 0.471 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 63 0 0 78 0 0 64
normalized size 1 1.00 1.85 0.00 0.00 2.29 0.00 0.00 1.88
time (sec) N/A 0.274 0.540 8.038 0.000 0.480 0.000 0.000 14.447
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 67 0 0 77 0 0 61
normalized size 1 1.00 1.97 0.00 0.00 2.26 0.00 0.00 1.79
time (sec) N/A 0.238 1.142 8.063 0.000 0.469 0.000 0.000 14.457
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 66 0 0 78 0 0 61
normalized size 1 1.00 2.00 0.00 0.00 2.36 0.00 0.00 1.85
time (sec) N/A 0.237 1.109 7.862 0.000 0.486 0.000 0.000 14.378
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 61 0 0 77 0 0 64
normalized size 1 1.00 1.74 0.00 0.00 2.20 0.00 0.00 1.83
time (sec) N/A 0.238 0.540 8.121 0.000 0.479 0.000 0.000 14.363
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 0 0 36 0 0 36
normalized size 1 1.00 1.00 0.00 0.00 1.00 0.00 0.00 1.00
time (sec) N/A 0.132 0.487 7.658 0.000 0.487 0.000 0.000 13.542
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 0 0 37 0 0 37
normalized size 1 1.00 1.00 0.00 0.00 1.00 0.00 0.00 1.00
time (sec) N/A 0.123 0.475 8.398 0.000 0.496 0.000 0.000 13.497
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 87 158 157 105 440 131 300
normalized size 1 1.00 0.62 1.13 1.12 0.75 3.14 0.94 2.14
time (sec) N/A 0.186 0.140 0.597 0.429 0.462 8.486 0.171 15.304
Problem 225 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 121 121 77 136 138 91 359 113 256
normalized size 1 1.00 0.64 1.12 1.14 0.75 2.97 0.93 2.12
time (sec) N/A 0.168 0.102 0.497 0.404 0.458 5.693 0.175 15.286
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 55 117 112 77 267 77 292
normalized size 1 1.00 0.57 1.22 1.17 0.80 2.78 0.80 3.04
time (sec) N/A 0.116 0.476 0.401 0.372 0.442 3.647 0.162 15.030
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 54 89 86 63 196 77 250
normalized size 1 1.00 0.66 1.09 1.05 0.77 2.39 0.94 3.05
time (sec) N/A 0.106 0.347 0.406 0.389 0.449 1.373 0.168 15.188
Problem 228 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 76 76 74 99 85 92 0 107 212
normalized size 1 1.00 0.97 1.30 1.12 1.21 0.00 1.41 2.79
time (sec) N/A 0.104 0.147 0.433 0.391 0.481 0.000 0.161 13.227
Problem 229 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 79 79 77 95 83 111 0 153 226
normalized size 1 1.00 0.97 1.20 1.05 1.41 0.00 1.94 2.86
time (sec) N/A 0.179 0.190 0.361 0.548 0.493 0.000 0.187 13.194
Problem 230 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 78 78 142 94 90 152 0 137 220
normalized size 1 1.00 1.82 1.21 1.15 1.95 0.00 1.76 2.82
time (sec) N/A 0.121 0.038 0.555 0.405 0.481 0.000 0.195 13.500
Problem 231 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 78 78 141 103 117 175 0 150 245
normalized size 1 1.00 1.81 1.32 1.50 2.24 0.00 1.92 3.14
time (sec) N/A 0.131 0.490 0.526 0.447 0.462 0.000 0.180 13.316
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 210 109 145 166 0 174 244
normalized size 1 1.00 2.44 1.27 1.69 1.93 0.00 2.02 2.84
time (sec) N/A 0.148 0.069 0.621 0.426 0.447 0.000 0.196 13.116
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 268 132 175 201 0 174 244
normalized size 1 1.00 2.55 1.26 1.67 1.91 0.00 1.66 2.32
time (sec) N/A 0.234 0.074 0.715 0.440 0.428 0.000 0.185 13.155
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 306 155 207 240 0 242 340
normalized size 1 1.00 2.35 1.19 1.59 1.85 0.00 1.86 2.62
time (sec) N/A 0.197 0.080 0.732 0.598 0.465 0.000 0.205 13.365
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 254 257 715 248 3614 156 326
normalized size 1 1.00 1.97 1.99 5.54 1.92 28.02 1.21 2.53
time (sec) N/A 0.208 0.945 0.446 0.589 0.458 78.444 0.214 17.076
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 228 155 543 225 2290 113 261
normalized size 1 1.00 2.21 1.50 5.27 2.18 22.23 1.10 2.53
time (sec) N/A 0.188 0.801 0.433 0.561 0.449 45.407 0.182 16.929
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 189 131 392 204 1268 93 178
normalized size 1 1.00 2.12 1.47 4.40 2.29 14.25 1.04 2.00
time (sec) N/A 0.173 0.756 0.428 0.639 0.445 25.572 0.192 14.924
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 107 71 348 156 461 63 110
normalized size 1 1.00 1.30 0.87 4.24 1.90 5.62 0.77 1.34
time (sec) N/A 0.138 0.462 0.415 0.624 0.425 14.110 0.188 13.448
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 92 86 387 154 573 79 134
normalized size 1 1.00 1.59 1.48 6.67 2.66 9.88 1.36 2.31
time (sec) N/A 0.114 0.239 0.414 0.532 0.407 9.114 0.171 13.309
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 313 130 433 310 0 99 199
normalized size 1 1.00 3.19 1.33 4.42 3.16 0.00 1.01 2.03
time (sec) N/A 0.164 1.006 0.729 0.586 0.440 0.000 0.194 14.771
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 167 169 519 406 0 146 210
normalized size 1 1.00 1.48 1.50 4.59 3.59 0.00 1.29 1.86
time (sec) N/A 0.398 2.974 0.732 0.686 0.451 0.000 0.221 15.774
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 245 209 622 498 0 180 288
normalized size 1 1.00 1.78 1.51 4.51 3.61 0.00 1.30 2.09
time (sec) N/A 0.225 3.888 0.870 0.410 0.449 0.000 0.299 15.741
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 153 153 348 249 706 594 0 213 314
normalized size 1 1.00 2.27 1.63 4.61 3.88 0.00 1.39 2.05
time (sec) N/A 0.246 6.229 0.826 0.458 0.465 0.000 0.302 15.280
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 327 327 267 422 406 239 996 314 830
normalized size 1 1.00 0.82 1.29 1.24 0.73 3.05 0.96 2.54
time (sec) N/A 0.579 2.000 0.525 0.363 0.469 5.370 0.182 15.576
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 185 274 264 160 571 198 547
normalized size 1 1.00 0.87 1.29 1.24 0.75 2.68 0.93 2.57
time (sec) N/A 0.360 1.123 0.408 0.371 0.469 2.308 0.154 15.413
Problem 246 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 111 111 104 147 143 84 277 101 134
normalized size 1 1.00 0.94 1.32 1.29 0.76 2.50 0.91 1.21
time (sec) N/A 0.157 0.439 0.304 0.374 0.471 1.002 0.151 13.314
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 45 59 57 43 94 48 100
normalized size 1 1.00 0.94 1.23 1.19 0.90 1.96 1.00 2.08
time (sec) N/A 0.023 0.098 0.157 0.446 0.435 0.351 0.128 13.263
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 196 294 0 292 0 141 3074
normalized size 1 1.00 2.00 3.00 0.00 2.98 0.00 1.44 31.37
time (sec) N/A 0.273 0.653 0.404 0.000 0.488 0.000 0.154 16.580
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 217 434 0 655 0 204 5102
normalized size 1 1.00 1.75 3.50 0.00 5.28 0.00 1.65 41.15
time (sec) N/A 0.325 1.271 0.493 0.000 0.487 0.000 0.196 20.316
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 345 2021 0 967 0 594 554
normalized size 1 1.00 1.96 11.48 0.00 5.49 0.00 3.38 3.15
time (sec) N/A 0.421 2.711 0.515 0.000 0.528 0.000 0.232 15.589
Problem 251 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 464 464 437 745 724 364 1865 474 1291
normalized size 1 1.00 0.94 1.61 1.56 0.78 4.02 1.02 2.78
time (sec) N/A 0.952 3.128 0.639 0.465 0.496 11.952 0.217 15.987
Problem 252 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 336 336 296 496 478 245 1129 311 765
normalized size 1 1.00 0.88 1.48 1.42 0.73 3.36 0.93 2.28
time (sec) N/A 0.703 1.567 0.515 0.440 0.456 6.002 0.184 15.705
Problem 253 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 166 166 160 278 268 144 571 172 492
normalized size 1 1.00 0.96 1.67 1.61 0.87 3.44 1.04 2.96
time (sec) N/A 0.271 0.755 0.409 0.420 0.448 2.760 0.173 14.603
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 106 117 114 70 199 88 91
normalized size 1 1.00 1.13 1.24 1.21 0.74 2.12 0.94 0.97
time (sec) N/A 0.061 0.325 0.297 0.439 0.463 0.949 0.158 13.161
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 177 713 0 452 0 314 7371
normalized size 1 1.00 1.04 4.17 0.00 2.64 0.00 1.84 43.11
time (sec) N/A 0.522 0.623 0.430 0.000 0.512 0.000 0.193 20.069
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 192 848 0 731 0 498 8706
normalized size 1 1.00 0.97 4.28 0.00 3.69 0.00 2.52 43.97
time (sec) N/A 0.581 0.996 0.512 0.000 0.575 0.000 0.201 21.578
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 226 1916 0 1483 0 703 8632
normalized size 1 1.00 1.05 8.91 0.00 6.90 0.00 3.27 40.15
time (sec) N/A 0.623 1.366 0.544 0.000 0.553 0.000 0.242 22.497
Problem 258 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 604 604 528 1077 1056 432 2878 566 1395
normalized size 1 1.00 0.87 1.78 1.75 0.72 4.76 0.94 2.31
time (sec) N/A 1.486 4.763 0.653 0.627 0.507 22.093 0.252 16.176
Problem 259 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 463 463 355 725 704 299 1804 380 976
normalized size 1 1.00 0.77 1.57 1.52 0.65 3.90 0.82 2.11
time (sec) N/A 1.128 2.425 0.625 0.461 0.491 10.854 0.213 15.626
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 156 414 398 178 960 217 550
normalized size 1 1.00 0.78 2.06 1.98 0.89 4.78 1.08 2.74
time (sec) N/A 0.335 0.913 0.512 0.430 0.473 5.283 0.177 14.623
Problem 261 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 127 117 120 178 171 93 371 116 330
normalized size 1 0.92 0.94 1.40 1.35 0.73 2.92 0.91 2.60
time (sec) N/A 0.101 0.497 0.410 0.381 0.453 2.085 0.165 14.256
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 233 1357 0 627 0 617 10256
normalized size 1 1.00 0.95 5.52 0.00 2.55 0.00 2.51 41.69
time (sec) N/A 0.895 0.981 0.479 0.000 0.549 0.000 0.211 21.761
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 244 1534 0 1027 0 588 11993
normalized size 1 1.00 0.86 5.42 0.00 3.63 0.00 2.08 42.38
time (sec) N/A 0.941 1.497 0.555 0.000 0.594 0.000 0.213 23.883
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 830 2906 0 1670 0 986 13891
normalized size 1 1.00 2.72 9.53 0.00 5.48 0.00 3.23 45.54
time (sec) N/A 0.934 3.145 0.564 0.000 0.609 0.000 0.303 25.413
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 788 1110 1124 470 0 479 839
normalized size 1 1.00 3.58 5.05 5.11 2.14 0.00 2.18 3.81
time (sec) N/A 0.361 1.272 0.437 0.727 0.483 0.000 0.198 14.054
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 141 200 524 606 303 5763 222 297
normalized size 1 0.99 1.40 3.66 4.24 2.12 40.30 1.55 2.08
time (sec) N/A 0.206 0.465 0.416 0.725 0.471 9.445 0.156 16.666
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 126 179 256 154 1307 160 122
normalized size 1 1.00 1.88 2.67 3.82 2.30 19.51 2.39 1.82
time (sec) N/A 0.203 0.469 0.360 0.492 0.470 4.181 0.141 13.681
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 79 65 78 66 109 40 35
normalized size 1 1.00 2.26 1.86 2.23 1.89 3.11 1.14 1.00
time (sec) N/A 0.049 0.159 0.227 0.518 0.439 1.832 0.146 12.920
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 148 176 0 595 0 113 154
normalized size 1 1.00 1.47 1.74 0.00 5.89 0.00 1.12 1.52
time (sec) N/A 0.170 0.327 0.545 0.000 0.482 0.000 0.168 13.322
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 209 615 0 1538 0 443 437
normalized size 1 1.00 1.15 3.40 0.00 8.50 0.00 2.45 2.41
time (sec) N/A 0.349 1.222 0.576 0.000 0.506 0.000 0.193 15.531
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 313 2482 0 3303 0 753 1076
normalized size 1 1.00 1.11 8.77 0.00 11.67 0.00 2.66 3.80
time (sec) N/A 0.550 1.606 0.559 0.000 0.614 0.000 0.298 17.439
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 547 946 1382 584 0 494 663
normalized size 1 1.00 2.40 4.15 6.06 2.56 0.00 2.17 2.91
time (sec) N/A 0.523 3.571 0.427 0.570 0.462 0.000 0.217 16.346
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 338 489 831 375 5358 277 365
normalized size 1 1.00 2.56 3.70 6.30 2.84 40.59 2.10 2.77
time (sec) N/A 0.510 1.675 0.414 0.575 0.458 17.795 0.193 16.038
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 180 252 454 208 1062 141 94
normalized size 1 1.00 2.12 2.96 5.34 2.45 12.49 1.66 1.11
time (sec) N/A 0.211 0.339 0.431 0.502 0.432 8.343 0.154 13.738
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 43 70 214 117 372 68 97
normalized size 1 1.00 0.66 1.08 3.29 1.80 5.72 1.05 1.49
time (sec) N/A 0.052 0.057 0.330 0.350 0.415 4.585 0.185 13.388
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 229 327 0 1285 0 259 302
normalized size 1 1.00 1.51 2.15 0.00 8.45 0.00 1.70 1.99
time (sec) N/A 0.419 0.628 0.561 0.000 0.500 0.000 0.216 14.783
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 313 770 0 3123 0 425 844
normalized size 1 1.00 1.14 2.80 0.00 11.36 0.00 1.55 3.07
time (sec) N/A 0.672 2.830 0.554 0.000 0.593 0.000 0.232 16.763
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 1522 2641 0 4997 0 944 1686
normalized size 1 1.00 3.94 6.84 0.00 12.95 0.00 2.45 4.37
time (sec) N/A 0.961 6.366 0.586 0.000 0.695 0.000 0.306 17.693
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 366 936 1682 649 11456 596 593
normalized size 1 1.00 1.63 4.16 7.48 2.88 50.92 2.65 2.64
time (sec) N/A 0.809 2.971 0.434 0.584 0.481 56.435 0.222 15.695
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 514 617 1132 432 3468 382 286
normalized size 1 1.00 3.13 3.76 6.90 2.63 21.15 2.33 1.74
time (sec) N/A 0.461 0.898 0.418 0.549 0.459 33.403 0.193 16.544
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 176 151 733 271 1819 223 245
normalized size 1 1.00 1.39 1.19 5.77 2.13 14.32 1.76 1.93
time (sec) N/A 0.227 0.689 0.439 0.456 0.428 15.102 0.178 14.259
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 63 114 387 190 1015 130 150
normalized size 1 1.00 0.62 1.12 3.79 1.86 9.95 1.27 1.47
time (sec) N/A 0.075 0.093 0.324 0.394 0.416 8.342 0.166 13.804
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 502 606 0 2292 0 578 591
normalized size 1 1.00 2.19 2.65 0.00 10.01 0.00 2.52 2.58
time (sec) N/A 0.724 1.251 0.540 0.000 0.543 0.000 0.261 17.184
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 1253 1049 0 4486 0 772 1349
normalized size 1 1.00 3.29 2.75 0.00 11.77 0.00 2.03 3.54
time (sec) N/A 1.081 6.384 0.570 0.000 0.660 0.000 0.303 17.669
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 508 508 548 2918 0 7283 0 1272 2387
normalized size 1 1.00 1.08 5.74 0.00 14.34 0.00 2.50 4.70
time (sec) N/A 1.447 4.960 0.650 0.000 0.849 0.000 0.593 19.882
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 305 242 0 467 0 0 -1
normalized size 1 1.00 1.19 0.95 0.00 1.82 0.00 0.00 -0.00
time (sec) N/A 0.460 1.248 1.400 0.000 0.450 0.000 0.000 0.000
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 176 161 0 306 0 0 -1
normalized size 1 1.00 0.92 0.84 0.00 1.59 0.00 0.00 -0.01
time (sec) N/A 0.339 0.743 1.437 0.000 0.428 0.000 0.000 0.000
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 117 102 0 175 0 0 -1
normalized size 1 1.00 0.99 0.86 0.00 1.48 0.00 0.00 -0.01
time (sec) N/A 0.249 0.359 1.362 0.000 0.449 0.000 0.000 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 82 58 0 85 0 0 -1
normalized size 1 1.00 1.32 0.94 0.00 1.37 0.00 0.00 -0.02
time (sec) N/A 0.058 0.123 1.019 0.000 0.439 0.000 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 903 139 0 651 0 0 -1
normalized size 1 1.00 9.03 1.39 0.00 6.51 0.00 0.00 -0.01
time (sec) N/A 0.246 9.035 1.787 0.000 1.259 0.000 0.000 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 901 274 0 1012 0 0 -1
normalized size 1 1.00 7.15 2.17 0.00 8.03 0.00 0.00 -0.01
time (sec) N/A 0.262 8.797 2.019 0.000 1.447 0.000 0.000 0.000
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 967 628 0 1750 0 0 -1
normalized size 1 1.00 5.04 3.27 0.00 9.11 0.00 0.00 -0.01
time (sec) N/A 0.370 10.267 2.426 0.000 2.280 0.000 0.000 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 374 374 390 312 0 637 0 0 -1
normalized size 1 1.00 1.04 0.83 0.00 1.70 0.00 0.00 -0.00
time (sec) N/A 0.920 4.607 1.369 0.000 0.474 0.000 0.000 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 267 207 0 430 0 0 -1
normalized size 1 1.00 0.91 0.70 0.00 1.46 0.00 0.00 -0.00
time (sec) N/A 0.712 2.265 1.435 0.000 0.451 0.000 0.000 0.000
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 144 150 0 257 0 0 -1
normalized size 1 1.00 0.87 0.91 0.00 1.56 0.00 0.00 -0.01
time (sec) N/A 0.316 1.075 1.283 0.000 0.448 0.000 0.000 0.000
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 101 77 0 137 0 0 -1
normalized size 1 1.00 1.00 0.76 0.00 1.36 0.00 0.00 -0.01
time (sec) N/A 0.087 0.397 1.085 0.000 0.431 0.000 0.000 0.000
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 356 291 0 880 0 0 -1
normalized size 1 1.00 2.33 1.90 0.00 5.75 0.00 0.00 -0.01
time (sec) N/A 0.503 3.535 1.734 0.000 1.474 0.000 0.000 0.000
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 381 592 0 1428 0 0 -1
normalized size 1 1.00 1.99 3.10 0.00 7.48 0.00 0.00 -0.01
time (sec) N/A 0.552 5.013 2.315 0.000 1.677 0.000 0.000 0.000
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 416 895 0 2208 0 0 -1
normalized size 1 1.00 1.88 4.05 0.00 9.99 0.00 0.00 -0.00
time (sec) N/A 0.610 5.341 2.825 0.000 2.593 0.000 0.000 0.000
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 534 534 1565 374 0 863 0 0 -1
normalized size 1 1.00 2.93 0.70 0.00 1.62 0.00 0.00 -0.00
time (sec) N/A 1.203 6.869 1.395 0.000 0.505 0.000 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 429 429 891 257 0 593 0 0 -1
normalized size 1 1.00 2.08 0.60 0.00 1.38 0.00 0.00 -0.00
time (sec) N/A 1.066 6.608 1.427 0.000 0.474 0.000 0.000 0.000
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 202 152 0 361 0 0 -1
normalized size 1 1.00 0.95 0.72 0.00 1.70 0.00 0.00 -0.00
time (sec) N/A 0.368 4.243 1.394 0.000 0.464 0.000 0.000 0.000
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 119 99 0 191 0 0 -1
normalized size 1 1.00 0.86 0.72 0.00 1.38 0.00 0.00 -0.01
time (sec) N/A 0.112 1.512 1.241 0.000 0.445 0.000 0.000 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F B F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 218 218 450 543 0 1314 0 0 -1
normalized size 1 1.00 2.06 2.49 0.00 6.03 0.00 0.00 -0.00
time (sec) N/A 0.885 5.822 2.052 0.000 2.273 0.000 0.000 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 460 932 0 2046 0 0 -1
normalized size 1 1.00 1.74 3.52 0.00 7.72 0.00 0.00 -0.00
time (sec) N/A 0.938 5.966 2.545 0.000 2.594 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) B F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 308 308 504 1587 0 3046 0 0 -1
normalized size 1 1.00 1.64 5.15 0.00 9.89 0.00 0.00 -0.00
time (sec) N/A 0.972 8.240 2.970 0.000 2.979 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 375 610 0 629 0 0 -1
normalized size 1 1.00 1.32 2.15 0.00 2.21 0.00 0.00 -0.00
time (sec) N/A 1.001 0.863 1.949 0.000 0.489 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 246 396 0 448 0 0 -1
normalized size 1 1.00 1.23 1.98 0.00 2.24 0.00 0.00 -0.00
time (sec) N/A 0.585 0.538 1.756 0.000 0.482 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 135 232 0 303 0 0 -1
normalized size 1 1.00 1.04 1.78 0.00 2.33 0.00 0.00 -0.01
time (sec) N/A 0.270 0.480 1.527 0.000 0.468 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 106 128 0 210 0 0 151
normalized size 1 1.00 1.34 1.62 0.00 2.66 0.00 0.00 1.91
time (sec) N/A 0.070 0.218 1.292 0.000 0.448 0.000 0.000 1.056
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 238 199 0 744 0 0 -1
normalized size 1 1.00 1.75 1.46 0.00 5.47 0.00 0.00 -0.01
time (sec) N/A 0.283 3.343 2.073 0.000 1.492 0.000 0.000 0.000
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 374 899 0 2159 0 0 -1
normalized size 1 1.00 1.81 4.34 0.00 10.43 0.00 0.00 -0.00
time (sec) N/A 0.617 6.970 2.719 0.000 3.773 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 309 309 847 2277 0 4180 0 0 -1
normalized size 1 1.00 2.74 7.37 0.00 13.53 0.00 0.00 -0.00
time (sec) N/A 1.054 10.778 3.580 0.000 7.777 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 684 1030 0 784 0 0 -1
normalized size 1 1.00 2.42 3.64 0.00 2.77 0.00 0.00 -0.00
time (sec) N/A 1.000 1.067 1.868 0.000 0.494 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 357 694 0 584 0 0 -1
normalized size 1 1.00 1.76 3.42 0.00 2.88 0.00 0.00 -0.00
time (sec) N/A 0.575 0.742 1.590 0.000 0.491 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 246 389 0 407 0 0 -1
normalized size 1 1.00 1.85 2.92 0.00 3.06 0.00 0.00 -0.01
time (sec) N/A 0.279 0.456 1.321 0.000 0.484 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 150 176 0 293 0 0 -1
normalized size 1 1.00 1.72 2.02 0.00 3.37 0.00 0.00 -0.01
time (sec) N/A 0.078 0.205 1.091 0.000 0.435 0.000 0.000 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 419 624 0 1561 0 0 -1
normalized size 1 1.00 2.24 3.34 0.00 8.35 0.00 0.00 -0.01
time (sec) N/A 0.590 3.137 2.007 0.000 3.290 0.000 0.000 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 542 2049 0 3403 0 0 -1
normalized size 1 1.00 1.86 7.02 0.00 11.65 0.00 0.00 -0.00
time (sec) N/A 1.018 9.543 3.069 0.000 7.667 0.000 0.000 0.000
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 402 402 1395 4707 0 5864 0 0 -1
normalized size 1 1.00 3.47 11.71 0.00 14.59 0.00 0.00 -0.00
time (sec) N/A 1.562 13.484 3.972 0.000 15.273 0.000 0.000 0.000
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 523 1438 0 980 0 0 -1
normalized size 1 1.00 1.70 4.67 0.00 3.18 0.00 0.00 -0.00
time (sec) N/A 1.059 1.791 2.466 0.000 0.503 0.000 0.000 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 544 982 0 744 0 0 -1
normalized size 1 1.00 2.48 4.48 0.00 3.40 0.00 0.00 -0.00
time (sec) N/A 0.579 1.140 2.036 0.000 0.483 0.000 0.000 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 267 449 0 536 0 0 -1
normalized size 1 1.00 1.77 2.97 0.00 3.55 0.00 0.00 -0.01
time (sec) N/A 0.287 0.770 1.639 0.000 0.479 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 227 279 0 392 0 0 -1
normalized size 1 1.00 1.80 2.21 0.00 3.11 0.00 0.00 -0.01
time (sec) N/A 0.107 0.372 1.699 0.000 0.457 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 550 1418 0 2577 0 0 -1
normalized size 1 1.00 2.11 5.43 0.00 9.87 0.00 0.00 -0.00
time (sec) N/A 0.984 5.610 2.665 0.000 6.574 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 395 395 1318 4092 0 5151 0 0 -1
normalized size 1 1.00 3.34 10.36 0.00 13.04 0.00 0.00 -0.00
time (sec) N/A 1.536 12.375 4.202 0.000 14.831 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) B F(-1) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 519 519 2103 7322 0 8555 0 0 -1
normalized size 1 1.00 4.05 14.11 0.00 16.48 0.00 0.00 -0.00
time (sec) N/A 2.152 13.857 5.811 0.000 45.087 0.000 0.000 0.000
Problem 328 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 221 221 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 0.338 26.082 3.868 0.000 0.531 0.000 0.000 0.000
Problem 329 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 217 217 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 0.300 9.073 3.368 0.000 0.475 0.000 0.000 0.000
Problem 330 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 221 221 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 0.304 4.652 1.057 0.000 0.472 0.000 0.000 0.000
Problem 331 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 223 223 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 28.141 10.288 0.000 0.482 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 427 427 245 0 0 0 0 0 -1
normalized size 1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.915 26.650 1.285 0.000 0.490 0.000 0.000 0.000
Problem 333 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 167 167 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 0.265 8.255 1.237 0.000 0.471 0.000 0.000 0.000
Problem 334 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 220 220 244 0 0 0 0 0 -1
normalized size 1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.403 5.568 0.972 0.000 0.469 0.000 0.000 0.000
Problem 335 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 269 269 603 0 0 0 0 0 -1
normalized size 1 1.00 2.24 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.470 17.227 0.983 0.000 0.489 0.000 0.000 0.000
Problem 336 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 351 351 300 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.987 7.726 9.533 0.000 0.469 0.000 0.000 0.000
Problem 337 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 199 198 212 0 0 0 0 0 -1
normalized size 1 0.99 1.07 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.362 3.589 7.608 0.000 0.459 0.000 0.000 0.000
Problem 338 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 117 117 275 0 0 0 0 0 -1
normalized size 1 1.00 2.35 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.081 1.816 0.018 0.000 0.453 0.000 0.000 0.000
Problem 339 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 191 191 473 0 0 0 0 0 -1
normalized size 1 1.00 2.48 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.292 7.078 4.046 0.000 0.462 0.000 0.000 0.000
Problem 340 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 293 293 651 0 0 0 0 0 -1
normalized size 1 1.00 2.22 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.618 2.496 14.319 0.000 0.479 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 467 467 651 0 0 0 0 0 -1
normalized size 1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.347 2.533 12.570 0.000 0.471 0.000 0.000 0.000
Problem 342 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 284 284 3281 0 0 0 0 0 -1
normalized size 1 1.00 11.55 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.628 8.136 1.204 0.000 0.515 0.000 0.000 0.000
Problem 343 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 274 274 672 0 0 0 0 0 -1
normalized size 1 1.00 2.45 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.555 11.894 1.134 0.000 0.481 0.000 0.000 0.000
Problem 344 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 274 274 672 0 0 0 0 0 -1
normalized size 1 1.00 2.45 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.544 5.714 0.891 0.000 0.477 0.000 0.000 0.000
Problem 345 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 288 288 672 0 0 0 0 0 -1
normalized size 1 1.00 2.33 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.545 6.224 0.917 0.000 0.507 0.000 0.000 0.000
Problem 346 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 270 270 682 0 0 0 0 0 -1
normalized size 1 1.00 2.53 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.430 6.082 1.351 0.000 0.484 0.000 0.000 0.000
Problem 347 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 277 277 573 0 0 0 0 0 -1
normalized size 1 1.00 2.07 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.483 6.936 3.466 0.000 0.486 0.000 0.000 0.000
Problem 348 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 132 132 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 0.200 10.115 1.431 0.000 0.494 0.000 0.000 0.000
Problem 349 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 139 139 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 0.230 4.874 2.750 0.000 0.480 0.000 0.000 0.000
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 0 56 0 0 98
normalized size 1 1.00 1.00 0.00 0.00 1.44 0.00 0.00 2.51
time (sec) N/A 0.172 0.678 6.471 0.000 0.536 0.000 0.000 14.774
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-1) A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 0 0 57 0 0 99
normalized size 1 1.00 1.00 0.00 0.00 1.42 0.00 0.00 2.48
time (sec) N/A 0.172 0.743 6.558 0.000 0.548 0.000 0.000 14.621
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 188 1246 0 1308 0 776 16312
normalized size 1 1.00 0.94 6.26 0.00 6.57 0.00 3.90 81.97
time (sec) N/A 0.580 1.596 0.461 0.000 0.610 0.000 6.894 27.619
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 840 840 2042 6776580 0 0 0 0 -1
normalized size 1 1.00 2.43 8067.36 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.156 6.750 100.983 0.000 0.000 0.000 0.000 0.000
Problem 354 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 630 630 1901 3150101 0 0 0 0 -1
normalized size 1 1.00 3.02 5000.16 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.886 10.186 159.526 0.000 2.233 0.000 0.000 0.000
Problem 355 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 417 417 1949 99082 0 0 0 0 -1
normalized size 1 1.00 4.67 237.61 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.537 6.563 1.846 0.000 0.522 0.000 0.000 0.000
Problem 356 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 544 544 2266 198381 0 0 0 0 -1
normalized size 1 1.00 4.17 364.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.377 7.426 3.294 0.000 0.643 0.000 0.000 0.000
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 858 858 2837 827062 0 0 0 0 -1
normalized size 1 1.00 3.31 963.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.616 8.770 19.791 0.000 0.906 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 F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.093 17.694 1.284 0.000 0.873 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 [11] had the largest ratio of [.2857]

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 7 5 1.00 33 0.152
2 A 6 5 1.00 33 0.152
3 A 5 4 1.00 31 0.129
4 A 4 3 1.00 33 0.091
5 A 5 3 1.00 33 0.091
6 A 6 3 1.00 33 0.091
7 A 6 5 1.00 35 0.143
8 A 5 5 1.00 35 0.143
9 A 4 4 1.00 35 0.114
10 A 9 9 1.00 35 0.257
11 A 10 10 1.00 35 0.286
12 A 9 5 1.00 33 0.152
13 A 4 3 1.00 34 0.088
14 A 1 1 1.00 43 0.023
15 A 1 1 1.00 37 0.027
16 A 6 6 1.00 31 0.194
17 A 7 6 1.00 34 0.176
18 A 6 6 1.00 34 0.176
19 A 5 5 1.08 34 0.147
20 A 4 4 1.00 32 0.125
21 A 4 3 1.00 34 0.088
22 A 4 4 1.00 34 0.118
23 A 4 4 1.00 34 0.118
24 A 5 5 1.00 34 0.147
25 A 6 5 1.00 34 0.147
26 A 8 6 1.00 36 0.167
27 A 7 6 1.00 36 0.167
28 A 6 5 1.00 36 0.139
29 A 5 4 1.00 36 0.111
30 A 5 5 1.00 34 0.147
31 A 5 5 1.00 36 0.139
32 A 5 5 1.00 36 0.139
33 A 5 4 1.00 36 0.111
34 A 3 3 1.00 36 0.083
35 A 4 4 1.00 36 0.111
36 A 5 4 1.00 36 0.111
37 A 6 4 1.00 36 0.111
38 A 9 6 1.00 36 0.167
39 A 8 6 1.00 36 0.167
40 A 7 5 1.00 36 0.139
41 A 6 4 1.00 36 0.111
42 A 6 5 1.00 36 0.139
43 A 6 6 1.00 34 0.176
44 A 6 6 1.00 36 0.167
45 A 6 6 1.00 36 0.167
46 A 6 5 1.00 36 0.139
47 A 6 4 1.00 36 0.111
48 A 3 3 1.00 36 0.083
49 A 4 4 1.00 36 0.111
50 A 5 4 1.00 36 0.111
51 A 6 4 1.00 36 0.111
52 A 7 7 1.00 36 0.194
53 A 6 6 1.00 36 0.167
54 A 5 5 1.00 36 0.139
55 A 4 3 1.00 34 0.088
56 A 4 4 1.00 36 0.111
57 A 4 4 1.00 36 0.111
58 A 5 5 1.00 36 0.139
59 A 6 5 1.00 36 0.139
60 A 8 7 1.00 36 0.194
61 A 7 6 1.00 36 0.167
62 A 6 6 1.00 36 0.167
63 A 5 5 1.00 36 0.139
64 A 4 4 1.00 34 0.118
65 A 4 4 1.00 36 0.111
66 A 4 3 1.00 36 0.083
67 A 4 3 1.00 36 0.083
68 A 5 4 1.00 36 0.111
69 A 6 4 1.00 36 0.111
70 A 8 6 1.00 36 0.167
71 A 7 6 1.00 36 0.167
72 A 6 5 1.00 36 0.139
73 A 5 4 1.00 36 0.111
74 A 4 4 1.00 34 0.118
75 A 5 5 1.00 36 0.139
76 A 4 3 1.00 36 0.083
77 A 4 3 1.00 36 0.083
78 A 4 3 1.00 36 0.083
79 A 5 4 1.00 36 0.111
80 A 6 4 1.00 36 0.111
81 A 6 4 1.00 36 0.111
82 A 5 4 1.00 36 0.111
83 A 4 4 1.00 36 0.111
84 A 3 3 1.00 36 0.083
85 A 5 5 1.00 36 0.139
86 A 5 5 1.00 36 0.139
87 A 5 5 1.00 36 0.139
88 A 6 6 1.00 36 0.167
89 A 6 4 1.00 38 0.105
90 A 5 4 1.00 38 0.105
91 A 4 4 1.00 38 0.105
92 A 3 3 1.00 38 0.079
93 A 6 5 1.00 38 0.132
94 A 6 5 1.00 38 0.132
95 A 6 6 1.00 38 0.158
96 A 6 5 1.00 38 0.132
97 A 7 6 1.00 38 0.158
98 A 6 4 1.00 38 0.105
99 A 5 4 1.00 38 0.105
100 A 4 4 1.00 38 0.105
101 A 3 3 1.00 38 0.079
102 A 7 5 1.00 38 0.132
103 A 7 5 1.00 38 0.132
104 A 7 6 1.00 38 0.158
105 A 7 6 1.00 38 0.158
106 A 7 5 1.00 38 0.132
107 A 8 6 1.00 38 0.158
108 A 6 4 1.00 38 0.105
109 A 5 4 1.00 38 0.105
110 A 4 4 1.00 38 0.105
111 A 3 3 1.00 38 0.079
112 A 4 4 1.00 38 0.105
113 A 5 5 1.00 38 0.132
114 A 6 6 1.00 38 0.158
115 A 7 4 1.00 38 0.105
116 A 6 4 1.00 38 0.105
117 A 5 4 1.00 38 0.105
118 A 4 4 1.00 38 0.105
119 A 3 3 1.00 38 0.079
120 A 5 5 1.00 38 0.132
121 A 6 6 1.00 38 0.158
122 A 7 7 1.00 38 0.184
123 A 7 4 1.00 38 0.105
124 A 6 4 1.00 38 0.105
125 A 5 4 1.00 38 0.105
126 A 4 4 1.00 38 0.105
127 A 3 3 1.00 38 0.079
128 A 6 5 1.00 38 0.132
129 A 7 7 1.00 38 0.184
130 A 8 7 1.00 38 0.184
131 A 3 2 1.00 40 0.050
132 A 3 2 1.00 40 0.050
133 A 3 2 1.00 40 0.050
134 A 3 2 1.00 40 0.050
135 A 5 5 1.00 40 0.125
136 A 5 5 1.00 40 0.125
137 A 3 2 1.00 40 0.050
138 A 3 2 1.00 40 0.050
139 A 3 3 1.00 40 0.075
140 A 3 3 1.00 40 0.075
141 A 3 3 1.00 40 0.075
142 A 3 2 1.00 40 0.050
143 A 5 5 1.00 40 0.125
144 A 5 5 1.00 40 0.125
145 A 5 5 1.00 40 0.125
146 A 2 2 1.00 40 0.050
147 A 3 3 1.00 40 0.075
148 A 3 3 1.00 40 0.075
149 A 4 3 1.00 40 0.075
150 A 4 3 1.00 40 0.075
151 A 3 3 1.00 40 0.075
152 A 3 2 1.00 40 0.050
153 A 6 5 1.00 40 0.125
154 A 6 5 1.00 40 0.125
155 A 6 6 1.00 40 0.150
156 A 6 5 1.00 40 0.125
157 A 2 2 1.00 40 0.050
158 A 3 3 1.00 40 0.075
159 A 4 3 1.00 40 0.075
160 A 5 3 1.00 40 0.075
161 A 5 3 1.00 40 0.075
162 A 4 3 1.00 40 0.075
163 A 3 3 1.00 40 0.075
164 A 3 2 1.00 40 0.050
165 A 7 5 1.00 40 0.125
166 A 7 5 1.00 40 0.125
167 A 7 6 1.00 40 0.150
168 A 7 6 1.00 40 0.150
169 A 7 5 1.00 40 0.125
170 A 2 2 1.00 40 0.050
171 A 3 3 1.00 40 0.075
172 A 4 3 1.00 40 0.075
173 A 5 3 1.00 40 0.075
174 A 6 5 1.00 40 0.125
175 A 5 5 1.00 40 0.125
176 A 5 5 1.00 40 0.125
177 A 7 4 1.00 40 0.100
178 A 3 3 1.00 40 0.075
179 A 4 4 1.00 40 0.100
180 A 7 5 1.00 40 0.125
181 A 6 5 1.00 40 0.125
182 A 5 5 1.00 40 0.125
183 A 5 5 1.00 40 0.125
184 A 3 3 1.00 40 0.075
185 A 4 4 1.00 40 0.100
186 A 5 4 1.00 40 0.100
187 A 8 6 1.00 40 0.150
188 A 7 6 1.00 40 0.150
189 A 6 6 1.00 40 0.150
190 A 5 5 1.00 40 0.125
191 A 3 2 1.00 40 0.050
192 A 4 4 1.00 40 0.100
193 A 5 4 1.00 40 0.100
194 A 6 4 1.00 40 0.100
195 A 5 5 1.00 36 0.139
196 A 5 5 1.00 36 0.139
197 A 5 5 1.00 36 0.139
198 A 5 5 1.00 34 0.147
199 A 3 3 1.00 23 0.130
200 A 5 5 1.00 36 0.139
201 A 5 5 1.00 36 0.139
202 A 5 5 1.00 36 0.139
203 A 4 4 1.00 38 0.105
204 A 4 4 1.00 38 0.105
205 A 4 3 1.00 38 0.079
206 A 3 3 1.16 38 0.079
207 A 3 2 1.00 38 0.053
208 A 4 4 1.00 38 0.105
209 A 4 4 1.00 38 0.105
210 A 4 4 1.00 38 0.105
211 A 4 3 1.00 40 0.075
212 A 3 3 1.00 40 0.075
213 A 2 2 1.00 40 0.050
214 A 5 5 1.00 40 0.125
215 A 5 5 1.00 38 0.132
216 A 5 5 1.00 40 0.125
217 A 5 5 1.00 40 0.125
218 A 2 2 1.00 46 0.043
219 A 2 2 1.00 45 0.044
220 A 2 2 1.00 44 0.045
221 A 2 2 1.00 43 0.047
222 A 1 1 1.00 47 0.021
223 A 1 1 1.00 46 0.022
224 A 13 4 1.00 32 0.125
225 A 12 4 1.00 32 0.125
226 A 10 5 1.00 30 0.167
227 A 5 5 1.00 24 0.208
228 A 7 5 1.00 30 0.167
229 A 9 7 1.00 32 0.219
230 A 7 6 1.00 32 0.188
231 A 7 4 1.00 32 0.125
232 A 10 5 1.00 32 0.156
233 A 12 6 1.00 32 0.188
234 A 12 4 1.00 32 0.125
235 A 11 6 1.00 32 0.188
236 A 9 4 1.00 32 0.125
237 A 8 3 1.00 32 0.094
238 A 8 3 1.00 30 0.100
239 A 3 3 1.00 24 0.125
240 A 9 4 1.00 30 0.133
241 A 15 9 1.00 32 0.281
242 A 13 7 1.00 32 0.219
243 A 15 7 1.00 32 0.219
244 A 5 4 1.00 33 0.121
245 A 4 4 1.00 33 0.121
246 A 3 3 1.00 31 0.097
247 A 1 1 1.00 21 0.048
248 A 6 6 1.00 33 0.182
249 A 6 6 1.00 33 0.182
250 A 7 7 1.00 33 0.212
251 A 6 5 1.00 35 0.143
252 A 5 5 1.00 35 0.143
253 A 4 4 1.00 33 0.121
254 A 2 2 1.00 23 0.087
255 A 7 7 1.00 35 0.200
256 A 7 7 1.00 35 0.200
257 A 7 7 1.00 35 0.200
258 A 7 5 1.00 35 0.143
259 A 6 5 1.00 35 0.143
260 A 10 8 1.00 33 0.242
261 A 8 6 0.92 23 0.261
262 A 8 7 1.00 35 0.200
263 A 8 8 1.00 35 0.229
264 A 8 7 1.00 35 0.200
265 A 3 3 1.00 35 0.086
266 A 2 2 0.99 35 0.057
267 A 4 4 1.00 33 0.121
268 A 2 2 1.00 23 0.087
269 A 5 5 1.00 35 0.143
270 A 6 6 1.00 35 0.171
271 A 7 6 1.00 35 0.171
272 A 3 2 1.00 35 0.057
273 A 5 5 1.00 35 0.143
274 A 4 4 1.00 33 0.121
275 A 2 2 1.00 23 0.087
276 A 6 5 1.00 35 0.143
277 A 7 6 1.00 35 0.171
278 A 8 6 1.00 35 0.171
279 A 6 5 1.00 35 0.143
280 A 5 5 1.00 35 0.143
281 A 4 4 1.00 33 0.121
282 A 3 3 1.00 23 0.130
283 A 7 5 1.00 35 0.143
284 A 8 6 1.00 35 0.171
285 A 9 6 1.00 35 0.171
286 A 5 5 1.00 37 0.135
287 A 4 4 1.00 37 0.108
288 A 4 4 1.00 35 0.114
289 A 2 2 1.00 25 0.080
290 A 3 3 1.00 37 0.081
291 A 3 3 1.00 37 0.081
292 A 4 4 1.00 37 0.108
293 A 6 6 1.00 37 0.162
294 A 5 5 1.00 37 0.135
295 A 5 5 1.00 35 0.143
296 A 3 3 1.00 25 0.120
297 A 4 4 1.00 37 0.108
298 A 4 4 1.00 37 0.108
299 A 4 4 1.00 37 0.108
300 A 7 6 1.00 37 0.162
301 A 6 5 1.00 37 0.135
302 A 6 5 1.00 35 0.143
303 A 4 3 1.00 25 0.120
304 A 5 4 1.00 37 0.108
305 A 5 5 1.00 37 0.135
306 A 5 4 1.00 37 0.108
307 A 7 6 1.00 37 0.162
308 A 6 6 1.00 37 0.162
309 A 5 5 1.00 35 0.143
310 A 3 3 1.00 25 0.120
311 A 5 5 1.00 37 0.135
312 A 6 6 1.00 37 0.162
313 A 7 6 1.00 37 0.162
314 A 7 7 1.00 37 0.189
315 A 6 6 1.00 37 0.162
316 A 5 5 1.00 35 0.143
317 A 3 3 1.00 25 0.120
318 A 6 6 1.00 37 0.162
319 A 7 7 1.00 37 0.189
320 A 8 7 1.00 37 0.189
321 A 7 6 1.00 37 0.162
322 A 6 6 1.00 37 0.162
323 A 5 5 1.00 35 0.143
324 A 4 4 1.00 25 0.160
325 A 7 6 1.00 37 0.162
326 A 8 7 1.00 37 0.189
327 A 9 7 1.00 37 0.189
328 A 7 4 1.00 35 0.114
329 A 8 6 1.00 33 0.182
330 A 7 5 1.00 35 0.143
331 A 7 4 1.00 35 0.114
332 A 11 7 1.00 37 0.189
333 A 4 4 1.00 37 0.108
334 A 7 7 1.00 37 0.189
335 A 7 4 1.00 37 0.108
336 A 6 6 1.00 35 0.171
337 A 5 5 0.99 33 0.152
338 A 3 3 1.00 23 0.130
339 A 6 6 1.00 35 0.171
340 A 7 7 1.00 35 0.200
341 A 8 7 1.00 35 0.200
342 A 9 5 1.00 37 0.135
343 A 9 5 1.00 37 0.135
344 A 9 5 1.00 37 0.135
345 A 9 5 1.00 37 0.135
346 A 9 5 1.00 35 0.143
347 A 7 6 1.00 39 0.154
348 A 4 4 1.00 36 0.111
349 A 4 4 1.00 40 0.100
350 A 1 1 1.00 55 0.018
351 A 1 1 1.00 51 0.020
352 A 6 6 1.00 35 0.171
353 A 7 7 1.00 39 0.180
354 A 5 5 1.00 39 0.128
355 A 3 3 1.00 39 0.077
356 A 4 4 1.00 39 0.103
357 A 5 5 1.00 39 0.128
358 A 0 0 0.00 0 0.000

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