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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, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 105, 106, 107, 108, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 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, 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, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 237, 238, 239, 240, 241, 242, 243, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376 }

B grade: { 80, 81, 100, 102, 103, 104, 113, 121, 152, 195, 211, 212, 221, 245, 246, 297, 328, 355, 370 }

C grade: { 220, 235, 236, 244, 316, 334 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 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, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 94, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 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, 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, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 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, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 313, 315, 316, 317, 318, 319, 320, 321, 322, 324, 325, 326, 327, 328, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 364, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376 }

B grade: { 63, 74, 89, 92, 93, 95, 117, 226, 227, 256, 270, 296, 308, 314, 329, 341, 370 }

C grade: { 323, 363 }

F grade: { }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 36, 37, 38, 39, 40, 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, 96, 98, 99, 100, 101, 102, 105, 106, 107, 108, 109, 110, 111, 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, 222, 223, 224, 226, 227, 228, 229, 230, 231, 232, 233, 234, 236, 237, 238, 239, 240, 242, 243, 247, 249, 250, 251, 252, 254, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 272, 273, 274, 275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 331, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 356, 357, 358, 359, 360, 361, 362, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376 }

B grade: { 29, 34, 35, 41, 95, 97, 103, 104, 112, 113, 220, 221, 225, 235, 241, 244, 245, 246, 248, 253, 255, 271, 276, 291, 298, 313, 328, 329, 355, 363 }

C grade: { }

F grade: { 330, 337 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 106, 107, 109, 110, 111, 112, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141, 142, 144, 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, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 222, 223, 224, 226, 227, 228, 229, 230, 231, 232, 233, 234, 236, 237, 238, 239, 240, 242, 243, 245, 247, 252, 253, 254, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 294, 296, 297, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 335, 336, 338, 339, 340, 342, 343, 345, 346, 347, 348, 349, 350, 352, 353, 354, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376 }

B grade: { 7, 13, 14, 29, 41, 67, 79, 86, 97, 98, 99, 100, 101, 102, 103, 104, 105, 108, 113, 115, 130, 139, 143, 145, 195, 220, 221, 225, 235, 241, 244, 246, 248, 249, 250, 251, 255, 270, 291, 295, 298, 311, 312, 313, 314, 328, 334, 337, 341, 344, 351, 355, 370 }

C grade: { }

F grade: { }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 77, 78, 79, 81, 83, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 103, 105, 107, 109, 110, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 125, 126, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141, 143, 148, 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, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 231, 232, 233, 234, 235, 236, 237, 239, 240, 242, 243, 244, 245, 246, 250, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 267, 268, 269, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 284, 285, 286, 287, 289, 290, 292, 293, 294, 299, 300, 302, 303, 304, 305, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 321, 323, 326, 327, 329, 331, 332, 333, 335, 336, 338, 339, 342, 343, 345, 346, 347, 348, 349, 350, 352, 354, 355, 356, 357, 358, 361, 362, 363, 364, 366, 367, 368, 369, 371, 373, 374, 375, 376 }

B grade: { 7, 8, 42, 67, 75, 76, 80, 82, 84, 86, 87, 100, 102, 104, 106, 108, 111, 113, 127, 139, 142, 181, 195, 226, 230, 241, 266, 270, 283, 291, 296, 297, 298, 306, 320, 330, 334, 341, 344, 370, 372 }

C grade: { 324 }

F grade: { 29, 41, 74, 123, 144, 145, 146, 147, 149, 220, 238, 247, 248, 249, 251, 288, 295, 301, 322, 325, 328, 337, 340, 351, 353, 359, 360, 365 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 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, 99, 100, 101, 102, 105, 106, 107, 108, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 131, 132, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 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, 196, 197, 198, 199, 200, 201, 202, 203, 204, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 242, 243, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 256, 257, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 305, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376 }

B grade: { 11, 12, 29, 41, 97, 98, 103, 104, 113, 124, 130, 133, 138, 145, 195, 205, 225, 241, 244, 255, 263, 270, 291, 293, 298, 306, 328, 329, 344 }

C grade: { }

F grade: { 269 }

2.1.8 Mupad

A grade: { }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 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, 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, 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, 360, 361, 362, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376 }

C grade: { }

F grade: { 147, 323, 359, 363 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 11 10 12 11 20
normalized size 1 1.00 1.00 1.09 1.00 0.91 1.09 1.00 1.82
time (sec) N/A 0.002 0.001 0.003 0.414 0.420 0.058 0.929 0.321
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 3 2 2 2 2 2
normalized size 1 1.00 1.00 1.00 0.67 0.67 0.67 0.67 0.67
time (sec) N/A 0.001 0.000 0.002 0.422 0.413 0.037 0.907 0.006
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 2 2 3 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 1.50 1.00
time (sec) N/A 0.000 0.000 0.000 0.417 0.407 0.055 0.928 0.002
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 8 8 8
normalized size 1 1.00 1.00 1.12 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.002 0.001 0.001 0.423 0.422 0.086 0.828 0.185
Problem 5 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 4 4 4 5 4 4 3 4 4
normalized size 1 1.00 1.00 1.25 1.00 1.00 0.75 1.00 1.00
time (sec) N/A 0.002 0.001 0.000 0.419 0.429 0.059 0.824 0.020
Problem 6 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 2 2 2 3 2 2 2 2 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.002 0.001 0.000 0.434 0.439 0.058 0.981 0.003
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 7 5 2 2
normalized size 1 1.00 1.00 1.50 1.00 3.50 2.50 1.00 1.00
time (sec) N/A 0.006 0.004 0.011 0.424 0.427 0.064 1.108 0.023
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 5 6 8 7 6 4
normalized size 1 1.00 1.00 1.25 1.50 2.00 1.75 1.50 1.00
time (sec) N/A 0.005 0.002 0.014 0.426 0.408 0.066 1.044 0.009
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 4 4 3 4 12
normalized size 1 1.00 1.00 1.50 2.00 2.00 1.50 2.00 6.00
time (sec) N/A 0.007 0.001 0.013 0.423 0.418 0.067 0.892 0.265
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 4 5 6 6 5 6 6
normalized size 1 1.00 1.00 1.25 1.50 1.50 1.25 1.50 1.50
time (sec) N/A 0.008 0.002 0.015 0.427 0.445 0.068 1.036 0.261
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 2 2 11 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 5.50 1.00
time (sec) N/A 0.003 0.001 0.002 0.419 0.406 0.125 1.046 0.019
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 2 3 2 2 2 11 2
normalized size 1 1.00 1.00 1.50 1.00 1.00 1.00 5.50 1.00
time (sec) N/A 0.002 0.001 0.000 0.437 0.412 0.125 0.979 0.016
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 6 3 11 5 6 5
normalized size 1 1.00 1.00 1.20 0.60 2.20 1.00 1.20 1.00
time (sec) N/A 0.002 0.002 0.001 0.436 0.433 0.063 1.022 0.027
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 3 11 3 4 3
normalized size 1 1.00 1.00 1.33 1.00 3.67 1.00 1.33 1.00
time (sec) N/A 0.002 0.002 0.000 0.421 0.431 0.065 0.853 0.002
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 7 8 8
normalized size 1 1.00 1.00 1.12 1.00 1.00 0.88 1.00 1.00
time (sec) N/A 0.009 0.002 0.000 0.431 0.425 0.177 0.891 0.021
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 8 5 8 6
normalized size 1 1.00 1.00 1.12 1.00 1.00 0.62 1.00 0.75
time (sec) N/A 0.001 0.001 0.002 0.425 0.412 0.079 0.939 0.018
Problem 17 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 19 19 12 12 11 11 10 11 11
normalized size 1 1.00 0.63 0.63 0.58 0.58 0.53 0.58 0.58
time (sec) N/A 0.020 0.005 0.000 0.440 0.413 0.086 1.080 0.023
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 19 19 14 14 11 13 15 11 11
normalized size 1 1.00 0.74 0.74 0.58 0.68 0.79 0.58 0.58
time (sec) N/A 0.007 0.005 0.000 0.428 0.422 0.301 0.941 0.002
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 0.87 0.87
time (sec) N/A 0.004 0.002 0.002 0.425 0.419 0.197 0.917 0.157
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 20 20 15 12 11 11 10 11 11
normalized size 1 1.00 0.75 0.60 0.55 0.55 0.50 0.55 0.55
time (sec) N/A 0.008 0.004 0.003 0.428 0.426 0.084 0.928 0.019
Problem 21 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 7 7 7 8 7 7 7 7 7
normalized size 1 1.00 1.00 1.14 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.009 0.002 0.000 0.419 0.430 0.178 0.784 0.002
Problem 22 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 18 18 18 15 14 14 14 14 14
normalized size 1 1.00 1.00 0.83 0.78 0.78 0.78 0.78 0.78
time (sec) N/A 0.010 0.011 0.016 0.431 0.426 0.186 0.874 0.028
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 9
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.53
time (sec) N/A 0.003 0.001 0.001 0.414 0.407 0.086 0.758 0.002
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 25 24 21 21 27 21 23
normalized size 1 1.00 0.86 0.83 0.72 0.72 0.93 0.72 0.79
time (sec) N/A 0.025 0.028 0.017 0.429 0.433 0.333 0.829 0.065
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 25 24 21 21 24 21 24
normalized size 1 1.00 0.86 0.83 0.72 0.72 0.83 0.72 0.83
time (sec) N/A 0.023 0.026 0.022 0.430 0.452 0.325 0.949 0.030
Problem 26 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 15 15 15 16 12 15 15 15 12
normalized size 1 1.00 1.00 1.07 0.80 1.00 1.00 1.00 0.80
time (sec) N/A 0.003 0.001 0.000 0.424 0.418 0.091 1.021 0.032
Problem 27 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 16 16 16 15 14 14 12 14 14
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.75 0.88 0.88
time (sec) N/A 0.004 0.003 0.001 1.015 0.453 0.132 1.051 0.002
Problem 28 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 23 23 18 18 14 17 24 14 18
normalized size 1 1.00 0.78 0.78 0.61 0.74 1.04 0.61 0.78
time (sec) N/A 0.013 0.003 0.004 0.424 0.426 0.335 0.955 0.046
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 74 18 0 103 8
normalized size 1 1.00 1.00 1.12 9.25 2.25 0.00 12.88 1.00
time (sec) N/A 0.018 0.006 0.016 0.966 0.439 0.000 0.927 0.022
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 9
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.53
time (sec) N/A 0.007 0.002 0.003 0.417 0.402 0.088 0.823 0.028
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 17 17 16 16 15 16 16
normalized size 1 1.00 0.63 0.63 0.59 0.59 0.56 0.59 0.59
time (sec) N/A 0.031 0.007 0.003 0.443 0.384 0.085 1.072 0.018
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 19 21 26 19 19
normalized size 1 1.00 0.81 0.81 0.70 0.78 0.96 0.70 0.70
time (sec) N/A 0.011 0.036 0.014 0.427 0.421 0.306 0.987 0.027
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 20 22 17 21 20 17 17
normalized size 1 1.00 0.74 0.81 0.63 0.78 0.74 0.63 0.63
time (sec) N/A 0.011 0.029 0.017 0.420 0.430 0.454 1.067 0.026
Problem 34 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 9 9 9 10 34 9 7 17 9
normalized size 1 1.00 1.00 1.11 3.78 1.00 0.78 1.89 1.00
time (sec) N/A 0.012 0.003 0.002 0.432 0.397 0.188 0.809 0.019
Problem 35 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 19 19 19 19 57 18 20 30 18
normalized size 1 1.00 1.00 1.00 3.00 0.95 1.05 1.58 0.95
time (sec) N/A 0.016 0.014 0.018 0.437 0.395 0.230 0.775 0.060
Problem 36 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 16 16 11 10 9 9 7 9 9
normalized size 1 1.00 0.69 0.62 0.56 0.56 0.44 0.56 0.56
time (sec) N/A 0.009 0.005 0.000 0.447 0.408 0.079 0.951 0.021
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 15 14 13 14 66 13 9
normalized size 1 1.00 0.71 0.67 0.62 0.67 3.14 0.62 0.43
time (sec) N/A 0.008 0.003 0.008 0.433 0.401 1.917 0.889 0.031
Problem 38 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 18 18 18 15 14 14 14 14 14
normalized size 1 1.00 1.00 0.83 0.78 0.78 0.78 0.78 0.78
time (sec) N/A 0.012 0.009 0.016 0.475 0.435 0.182 0.852 0.020
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 16 15 14 14 12 14 14
normalized size 1 1.00 0.62 0.58 0.54 0.54 0.46 0.54 0.54
time (sec) N/A 0.018 0.006 0.003 0.437 0.375 0.086 1.035 0.029
Problem 40 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 18 18 18 17 16 16 12 16 16
normalized size 1 1.00 1.00 0.94 0.89 0.89 0.67 0.89 0.89
time (sec) N/A 0.004 0.003 0.001 0.984 0.417 0.132 0.822 0.169
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 10 104 20 0 52 9
normalized size 1 1.00 1.00 1.11 11.56 2.22 0.00 5.78 1.00
time (sec) N/A 0.016 0.017 0.013 0.446 0.422 0.000 0.957 0.147
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 25 26 13 13
normalized size 1 1.00 1.00 0.82 0.76 1.47 1.53 0.76 0.76
time (sec) N/A 0.009 0.008 0.142 0.438 0.422 0.519 0.800 0.040
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 17 17 17 9 13 14 22 13 13
normalized size 1 1.00 1.00 0.53 0.76 0.82 1.29 0.76 0.76
time (sec) N/A 0.008 0.007 0.027 0.428 0.443 0.574 0.767 0.173
Problem 44 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 11 11 11 12 11 11 10 11 8
normalized size 1 1.00 1.00 1.09 1.00 1.00 0.91 1.00 0.73
time (sec) N/A 0.010 0.003 0.015 0.433 0.432 0.895 1.004 0.201
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 14 12 11 11 10 11 11
normalized size 1 1.00 0.64 0.55 0.50 0.50 0.45 0.50 0.50
time (sec) N/A 0.019 0.002 0.003 0.439 0.405 0.087 1.043 0.029
Problem 46 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 15 15 9 9 12 8 7 8 8
normalized size 1 1.00 0.60 0.60 0.80 0.53 0.47 0.53 0.53
time (sec) N/A 0.008 0.012 0.001 0.437 0.397 0.081 0.716 0.033
Problem 47 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 19 19 14 15 14 14 14 14 14
normalized size 1 1.00 0.74 0.79 0.74 0.74 0.74 0.74 0.74
time (sec) N/A 0.009 0.003 0.007 0.966 0.422 0.096 0.860 0.023
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 10 13 15 13 13
normalized size 1 1.00 1.00 0.82 0.59 0.76 0.88 0.76 0.76
time (sec) N/A 0.003 0.003 0.001 0.428 0.432 0.415 0.777 0.167
Problem 49 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 24 24 16 17 11 11 20 11 11
normalized size 1 1.00 0.67 0.71 0.46 0.46 0.83 0.46 0.46
time (sec) N/A 0.008 0.006 0.000 0.444 0.410 0.255 0.850 0.021
Problem 50 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 14 14 12 10 9 9 8 9 7
normalized size 1 1.00 0.86 0.71 0.64 0.64 0.57 0.64 0.50
time (sec) N/A 0.001 0.001 0.003 0.423 0.408 0.109 0.935 0.024
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 12 13 15 13 13
normalized size 1 1.00 1.00 0.82 0.71 0.76 0.88 0.76 0.76
time (sec) N/A 0.003 0.003 0.002 0.429 0.428 0.535 0.871 0.022
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 20 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.73
time (sec) N/A 0.011 0.013 0.002 0.439 0.425 0.309 0.962 0.244
Problem 53 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 20 20 20 17 16 16 15 16 16
normalized size 1 1.00 1.00 0.85 0.80 0.80 0.75 0.80 0.80
time (sec) N/A 0.016 0.010 0.021 0.443 0.437 1.905 0.964 0.194
Problem 54 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 28 28 19 17 16 16 15 16 16
normalized size 1 1.00 0.68 0.61 0.57 0.57 0.54 0.57 0.57
time (sec) N/A 0.034 0.002 0.003 0.451 0.403 0.091 0.792 0.028
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 16 15 13 15 15 14
normalized size 1 1.00 1.00 0.76 0.71 0.62 0.71 0.71 0.67
time (sec) N/A 0.009 0.003 0.000 0.954 0.408 0.244 0.917 0.019
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 18 18 18 17 16 16 15 18 16
normalized size 1 1.00 1.00 0.94 0.89 0.89 0.83 1.00 0.89
time (sec) N/A 0.013 0.016 0.019 0.435 0.418 0.194 0.993 0.023
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 15 14 13 14 66 13 9
normalized size 1 1.00 0.71 0.67 0.62 0.67 3.14 0.62 0.43
time (sec) N/A 0.006 0.002 0.002 0.417 0.417 1.939 1.088 0.017
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 14 15 10 14 14 10 10
normalized size 1 1.00 0.78 0.83 0.56 0.78 0.78 0.56 0.56
time (sec) N/A 0.006 0.007 0.020 0.425 0.425 0.066 0.837 0.050
Problem 59 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 14 14 14 11 10 10 10 10 10
normalized size 1 1.00 1.00 0.79 0.71 0.71 0.71 0.71 0.71
time (sec) N/A 0.006 0.002 0.000 0.433 0.433 0.061 0.990 0.002
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 18 16 19 24 16 16
normalized size 1 1.00 0.92 0.75 0.67 0.79 1.00 0.67 0.67
time (sec) N/A 0.013 0.002 0.000 0.437 0.436 0.063 0.871 0.031
Problem 61 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 13 13 15 11 11 11 8 11 10
normalized size 1 1.00 1.15 0.85 0.85 0.85 0.62 0.85 0.77
time (sec) N/A 0.005 0.002 0.002 0.427 0.415 0.066 0.932 0.034
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 31 18 13 13 12 13 14
normalized size 1 1.00 1.82 1.06 0.76 0.76 0.71 0.76 0.82
time (sec) N/A 0.023 0.011 0.008 0.435 0.415 0.067 0.957 0.039
Problem 63 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 17 17 31 30 13 22 12 13 14
normalized size 1 1.00 1.82 1.76 0.76 1.29 0.71 0.76 0.82
time (sec) N/A 0.022 0.010 0.009 0.431 0.404 0.066 0.956 0.151
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 30 29 18 25 31 22 24
normalized size 1 1.00 0.83 0.81 0.50 0.69 0.86 0.61 0.67
time (sec) N/A 0.045 0.008 0.010 0.444 0.425 0.063 0.918 0.044
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 14 19 10 19 14 10 18
normalized size 1 1.00 0.58 0.79 0.42 0.79 0.58 0.42 0.75
time (sec) N/A 0.025 0.004 0.000 0.431 0.409 0.070 1.075 0.041
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 18 19 14 18 37 14 14
normalized size 1 1.00 0.82 0.86 0.64 0.82 1.68 0.64 0.64
time (sec) N/A 0.009 0.008 0.052 0.432 0.411 0.202 1.011 0.261
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 15 14 31 37 14 18
normalized size 1 1.00 1.00 0.75 0.70 1.55 1.85 0.70 0.90
time (sec) N/A 0.014 0.011 0.075 0.443 0.434 0.565 0.893 0.146
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 28 19 19 19 19 19
normalized size 1 1.00 1.00 1.12 0.76 0.76 0.76 0.76 0.76
time (sec) N/A 0.030 0.010 0.013 0.452 0.412 0.070 0.918 0.050
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 30 24 24 25 36 22 22
normalized size 1 1.00 0.88 0.71 0.71 0.74 1.06 0.65 0.65
time (sec) N/A 0.017 0.002 0.000 0.431 0.432 0.064 0.815 0.036
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 30 24 24 25 36 22 22
normalized size 1 1.00 0.88 0.71 0.71 0.74 1.06 0.65 0.65
time (sec) N/A 0.017 0.002 0.103 0.453 0.420 0.063 0.941 0.035
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 30 36 18 33 41 22 37
normalized size 1 1.00 0.65 0.78 0.39 0.72 0.89 0.48 0.80
time (sec) N/A 0.036 0.013 0.017 0.432 0.429 0.067 0.833 0.071
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 23 17 17 17 17 17 17
normalized size 1 1.00 1.10 0.81 0.81 0.81 0.81 0.81 0.81
time (sec) N/A 0.007 0.002 0.000 0.438 0.421 0.070 0.913 0.038
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 22 36 16 31 31 16 32
normalized size 1 1.00 0.48 0.78 0.35 0.67 0.67 0.35 0.70
time (sec) N/A 0.052 0.006 0.011 0.436 0.435 0.072 0.958 0.042
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 34 39 13 17 0 13 13
normalized size 1 1.00 1.62 1.86 0.62 0.81 0.00 0.62 0.62
time (sec) N/A 0.022 0.062 0.057 0.438 0.433 0.000 0.901 0.086
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 18 14 13 14 167 13 25
normalized size 1 1.00 0.86 0.67 0.62 0.67 7.95 0.62 1.19
time (sec) N/A 0.022 0.012 0.039 0.433 0.451 27.121 0.958 0.207
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 18 14 12 13 39 12 12
normalized size 1 1.00 0.95 0.74 0.63 0.68 2.05 0.63 0.63
time (sec) N/A 0.020 0.028 0.038 0.444 0.444 0.361 0.990 0.273
Problem 77 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 19 19 19 15 15 15 22 15 14
normalized size 1 1.00 1.00 0.79 0.79 0.79 1.16 0.79 0.74
time (sec) N/A 0.014 0.016 0.021 0.438 0.441 0.620 0.918 0.177
Problem 78 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 14 14 14 13 16 14 10 13 16
normalized size 1 1.00 1.00 0.93 1.14 1.00 0.71 0.93 1.14
time (sec) N/A 0.013 0.006 0.024 0.448 0.456 0.090 1.077 0.199
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 20 29 20 37 20 28 32
normalized size 1 1.00 0.91 1.32 0.91 1.68 0.91 1.27 1.45
time (sec) N/A 0.029 0.023 0.033 0.444 0.441 0.103 0.943 0.226
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 36 6 5 5 19 5 5
normalized size 1 1.00 7.20 1.20 1.00 1.00 3.80 1.00 1.00
time (sec) N/A 0.013 0.007 0.042 0.445 0.437 0.335 0.907 0.166
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 25 11 15 17 8 10 10
normalized size 1 1.00 2.27 1.00 1.36 1.55 0.73 0.91 0.91
time (sec) N/A 0.008 0.012 0.036 0.434 0.407 0.385 0.868 0.029
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 7 6 6 7 6 6
normalized size 1 1.00 1.00 1.17 1.00 1.00 1.17 1.00 1.00
time (sec) N/A 0.004 0.003 0.000 0.968 0.412 0.070 0.841 0.026
Problem 83 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 14 14 18 13 12 12 19 12 12
normalized size 1 1.00 1.29 0.93 0.86 0.86 1.36 0.86 0.86
time (sec) N/A 0.008 0.004 0.000 0.956 0.407 0.074 0.865 0.025
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 17 13 9 16 19 9 17
normalized size 1 1.00 1.55 1.18 0.82 1.45 1.73 0.82 1.55
time (sec) N/A 0.007 0.003 0.101 0.443 0.397 0.075 0.950 0.029
Problem 85 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 19 19 27 19 15 22 31 15 27
normalized size 1 1.00 1.42 1.00 0.79 1.16 1.63 0.79 1.42
time (sec) N/A 0.009 0.003 0.114 0.444 0.404 0.070 0.971 0.038
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 11 6 20 29 6 6
normalized size 1 1.00 1.00 1.38 0.75 2.50 3.62 0.75 0.75
time (sec) N/A 0.020 0.002 0.029 0.438 0.422 0.073 0.882 0.029
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 27 22 13 20 29 13 13
normalized size 1 1.00 1.59 1.29 0.76 1.18 1.71 0.76 0.76
time (sec) N/A 0.022 0.020 0.026 0.439 0.430 0.070 0.770 0.172
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.012 0.005 0.020 0.428 0.412 0.072 0.780 0.290
Problem 89 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 17 17 17 42 14 14 14 14 13
normalized size 1 1.00 1.00 2.47 0.82 0.82 0.82 0.82 0.76
time (sec) N/A 0.023 0.024 0.027 0.427 0.420 0.105 0.916 0.379
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 20 23 34 24 20 22 18
normalized size 1 1.00 0.91 1.05 1.55 1.09 0.91 1.00 0.82
time (sec) N/A 0.010 0.003 0.002 0.442 0.433 0.114 0.990 0.033
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 30 19 18 18 31 18 18
normalized size 1 1.00 1.36 0.86 0.82 0.82 1.41 0.82 0.82
time (sec) N/A 0.013 0.004 0.003 0.978 0.426 0.077 0.919 0.034
Problem 92 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 19 19 19 48 20 20 22 20 17
normalized size 1 1.00 1.00 2.53 1.05 1.05 1.16 1.05 0.89
time (sec) N/A 0.016 0.011 0.024 0.428 0.440 0.115 1.034 0.269
Problem 93 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 25 25 25 58 20 20 22 20 19
normalized size 1 1.00 1.00 2.32 0.80 0.80 0.88 0.80 0.76
time (sec) N/A 0.029 0.013 0.029 0.439 0.420 0.124 1.003 0.529
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 10 6 7 6 18
normalized size 1 1.00 1.00 0.88 1.25 0.75 0.88 0.75 2.25
time (sec) N/A 0.013 0.005 0.019 0.432 0.424 0.074 0.940 0.173
Problem 95 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 17 17 17 32 36 14 14 14 20
normalized size 1 1.00 1.00 1.88 2.12 0.82 0.82 0.82 1.18
time (sec) N/A 0.028 0.013 0.031 0.445 0.420 0.116 0.943 0.167
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 10 6 7 6 6
normalized size 1 1.00 1.00 0.88 1.25 0.75 0.88 0.75 0.75
time (sec) N/A 0.012 0.004 0.024 0.435 0.430 0.076 1.022 0.032
Problem 97 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 16 16 16 24 27 34 27 29 30
normalized size 1 1.00 1.00 1.50 1.69 2.12 1.69 1.81 1.88
time (sec) N/A 0.015 0.007 0.021 0.451 0.430 0.127 1.002 0.258
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 12 10 20 8 18 8
normalized size 1 1.00 1.00 1.50 1.25 2.50 1.00 2.25 1.00
time (sec) N/A 0.005 0.002 0.000 0.983 0.410 0.073 1.134 0.018
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 17 14 28 14 22 18
normalized size 1 1.00 1.00 1.21 1.00 2.00 1.00 1.57 1.29
time (sec) N/A 0.007 0.003 0.006 0.442 0.448 0.101 0.938 0.026
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 37 22 14 39 41 14 14
normalized size 1 1.00 2.18 1.29 0.82 2.29 2.41 0.82 0.82
time (sec) N/A 0.026 0.028 0.030 0.434 0.426 0.076 0.921 0.185
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 22 14 30 15 14 14
normalized size 1 1.00 1.00 1.29 0.82 1.76 0.88 0.82 0.82
time (sec) N/A 0.026 0.008 0.028 0.445 0.423 0.112 0.906 0.180
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 17 9 8 19 15 6 5
normalized size 1 1.00 3.40 1.80 1.60 3.80 3.00 1.20 1.00
time (sec) N/A 0.002 0.003 0.003 0.433 0.440 0.111 0.998 0.043
Problem 103 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 16 16 47 18 27 44 27 54 16
normalized size 1 1.00 2.94 1.12 1.69 2.75 1.69 3.38 1.00
time (sec) N/A 0.007 0.005 0.108 0.451 0.416 0.134 1.117 0.155
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 19 12 17 21 19 19 8
normalized size 1 1.00 2.38 1.50 2.12 2.62 2.38 2.38 1.00
time (sec) N/A 0.011 0.004 0.020 0.441 0.442 0.108 0.985 0.148
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 17 12 14 25 20 14 17
normalized size 1 1.00 1.31 0.92 1.08 1.92 1.54 1.08 1.31
time (sec) N/A 0.007 0.002 0.100 0.436 0.410 0.064 0.984 0.028
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 24 26 13 13
normalized size 1 1.00 1.00 0.82 0.76 1.41 1.53 0.76 0.76
time (sec) N/A 0.008 0.007 0.099 0.423 0.433 0.566 0.878 0.062
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 22 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 1.29 0.76 0.76
time (sec) N/A 0.008 0.006 0.057 0.424 0.432 0.540 0.918 0.026
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 12 11 24 26 11 11
normalized size 1 1.00 1.00 0.80 0.73 1.60 1.73 0.73 0.73
time (sec) N/A 0.008 0.006 0.102 0.431 0.434 0.558 0.973 0.174
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 9 13 14 24 13 13
normalized size 1 1.00 1.00 0.53 0.76 0.82 1.41 0.76 0.76
time (sec) N/A 0.008 0.007 0.027 0.442 0.426 0.606 0.925 0.058
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 7 6 19
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 2.38
time (sec) N/A 0.013 0.001 0.005 0.426 0.419 0.067 0.803 0.031
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 23 22 25 112 22 22
normalized size 1 1.00 1.00 0.77 0.73 0.83 3.73 0.73 0.73
time (sec) N/A 0.031 0.008 0.090 0.429 0.432 13.533 0.797 0.293
Problem 112 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 5 5 8 6 11 5 7 9 6
normalized size 1 1.00 1.60 1.20 2.20 1.00 1.40 1.80 1.20
time (sec) N/A 0.022 0.002 0.033 0.425 0.433 0.435 1.029 0.170
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 61 20 69 35 32 29 24
normalized size 1 1.00 4.07 1.33 4.60 2.33 2.13 1.93 1.60
time (sec) N/A 0.053 0.009 0.097 0.979 0.444 1.571 1.112 0.396
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 16 14 10 18 16
normalized size 1 1.00 1.00 0.93 1.14 1.00 0.71 1.29 1.14
time (sec) N/A 0.015 0.005 0.028 0.440 0.441 0.087 0.922 0.141
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 20 29 20 37 20 28 32
normalized size 1 1.00 0.91 1.32 0.91 1.68 0.91 1.27 1.45
time (sec) N/A 0.052 0.010 0.031 0.422 0.447 0.103 0.846 0.149
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.015 0.004 0.001 0.456 0.423 0.073 0.911 0.002
Problem 117 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 17 17 17 42 14 14 14 14 13
normalized size 1 1.00 1.00 2.47 0.82 0.82 0.82 0.82 0.76
time (sec) N/A 0.026 0.014 0.000 0.422 0.431 0.105 0.819 0.002
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 34 21 35 15 39 21
normalized size 1 1.00 1.00 1.36 0.84 1.40 0.60 1.56 0.84
time (sec) N/A 0.004 0.007 0.006 0.979 0.403 0.258 0.984 0.039
Problem 119 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 16 16 16 13 12 14 12 19 12
normalized size 1 1.00 1.00 0.81 0.75 0.88 0.75 1.19 0.75
time (sec) N/A 0.003 0.003 0.003 0.986 0.390 0.779 1.067 0.028
Problem 120 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 9 9 9 8 7 7 7 7 7
normalized size 1 1.00 1.00 0.89 0.78 0.78 0.78 0.78 0.78
time (sec) N/A 0.002 0.001 0.003 0.431 0.406 0.152 0.889 0.028
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 46 15 18 18 19 19 14
normalized size 1 1.00 2.88 0.94 1.12 1.12 1.19 1.19 0.88
time (sec) N/A 0.002 0.003 0.005 0.483 0.420 1.084 0.985 0.080
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 22 19 26 18 27 23 24
normalized size 1 1.00 0.71 0.61 0.84 0.58 0.87 0.74 0.77
time (sec) N/A 0.015 0.008 0.004 0.962 0.408 0.576 0.977 0.047
Problem 123 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 27 27 27 24 21 42 0 23 38
normalized size 1 1.00 1.00 0.89 0.78 1.56 0.00 0.85 1.41
time (sec) N/A 0.010 0.007 0.006 0.959 0.421 0.000 1.050 0.221
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 20 14 14 27 33 14
normalized size 1 1.00 1.00 1.25 0.88 0.88 1.69 2.06 0.88
time (sec) N/A 0.003 0.003 0.007 0.971 0.408 0.796 0.954 0.230
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 22 25 26 23 39 30 23
normalized size 1 1.00 0.71 0.81 0.84 0.74 1.26 0.97 0.74
time (sec) N/A 0.014 0.010 0.004 0.969 0.414 0.641 0.882 0.036
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 17 11 11 8 11 11
normalized size 1 1.00 1.00 1.31 0.85 0.85 0.62 0.85 0.85
time (sec) N/A 0.002 0.001 0.003 0.441 0.402 0.145 1.044 0.032
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 11 16 24 11 11
normalized size 1 1.00 1.00 1.20 0.73 1.07 1.60 0.73 0.73
time (sec) N/A 0.002 0.002 0.003 0.417 0.405 0.206 1.023 0.026
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 32 19 19 18
normalized size 1 1.00 1.00 0.80 0.76 1.28 0.76 0.76 0.72
time (sec) N/A 0.003 0.008 0.004 0.980 0.395 0.216 0.941 0.033
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 18 15 22 14 24 19 14
normalized size 1 1.00 0.72 0.60 0.88 0.56 0.96 0.76 0.56
time (sec) N/A 0.011 0.005 0.005 0.967 0.410 0.370 0.917 0.023
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 5 4 14 3 14 4
normalized size 1 1.00 1.00 0.83 0.67 2.33 0.50 2.33 0.67
time (sec) N/A 0.001 0.004 0.003 0.958 0.414 0.149 1.096 0.030
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 18 16 15 25 15 25 15
normalized size 1 1.00 0.86 0.76 0.71 1.19 0.71 1.19 0.71
time (sec) N/A 0.003 0.005 0.004 0.951 0.411 0.212 0.931 0.029
Problem 132 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 46 26 22 33 66 25 25
normalized size 1 1.00 1.31 0.74 0.63 0.94 1.89 0.71 0.71
time (sec) N/A 0.013 0.022 0.009 0.960 0.423 2.187 0.950 0.346
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 28 19 23 76 48 19
normalized size 1 1.00 1.00 1.22 0.83 1.00 3.30 2.09 0.83
time (sec) N/A 0.004 0.005 0.006 0.970 0.396 0.757 0.975 0.341
Problem 134 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 30 30 30 25 19 28 92 24 24
normalized size 1 1.00 1.00 0.83 0.63 0.93 3.07 0.80 0.80
time (sec) N/A 0.016 0.005 0.009 0.961 0.414 1.403 0.925 0.310
Problem 135 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 18 18 18 25 14 18 37 23 14
normalized size 1 1.00 1.00 1.39 0.78 1.00 2.06 1.28 0.78
time (sec) N/A 0.003 0.004 0.005 0.978 0.400 0.815 0.990 0.254
Problem 136 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 34 34 39 31 22 58 49 24 34
normalized size 1 1.00 1.15 0.91 0.65 1.71 1.44 0.71 1.00
time (sec) N/A 0.006 0.031 0.013 0.983 0.413 1.681 1.062 0.222
Problem 137 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 29 29 29 23 22 29 24 22 22
normalized size 1 1.00 1.00 0.79 0.76 1.00 0.83 0.76 0.76
time (sec) N/A 0.006 0.010 0.009 0.976 0.423 0.226 0.890 0.036
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 14 24 15 37 18
normalized size 1 1.00 1.00 0.78 0.61 1.04 0.65 1.61 0.78
time (sec) N/A 0.011 0.005 0.006 0.963 0.399 1.062 0.906 0.056
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 10 9 21 26 9 9
normalized size 1 1.00 1.00 0.77 0.69 1.62 2.00 0.69 0.69
time (sec) N/A 0.002 0.002 0.003 0.430 0.402 2.237 0.979 0.161
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 22 29 26 23 44 32 23
normalized size 1 1.00 0.71 0.94 0.84 0.74 1.42 1.03 0.74
time (sec) N/A 0.014 0.011 0.005 0.957 0.399 0.657 1.103 0.167
Problem 141 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 45 45 33 32 31 39 112 26 27
normalized size 1 1.00 0.73 0.71 0.69 0.87 2.49 0.58 0.60
time (sec) N/A 0.010 0.017 0.007 0.979 0.407 2.816 1.016 0.036
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 10 9 9 26 9 9
normalized size 1 1.00 1.00 0.77 0.69 0.69 2.00 0.69 0.69
time (sec) N/A 0.002 0.002 0.003 0.426 0.403 0.203 0.991 0.029
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 23 12 30 36 12 12
normalized size 1 1.00 1.00 1.44 0.75 1.88 2.25 0.75 0.75
time (sec) N/A 0.001 0.004 0.003 0.428 0.401 0.783 1.041 0.251
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 32 26 36 35 0 23 24
normalized size 1 1.00 0.97 0.79 1.09 1.06 0.00 0.70 0.73
time (sec) N/A 0.008 0.042 0.006 0.966 0.408 0.000 0.888 0.165
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 18 0 18 14
normalized size 1 1.00 1.00 0.88 0.75 2.25 0.00 2.25 1.75
time (sec) N/A 0.006 0.006 0.003 0.962 0.395 0.000 1.182 0.201
Problem 146 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 25 25 24 30 22 20 0 21 20
normalized size 1 1.00 0.96 1.20 0.88 0.80 0.00 0.84 0.80
time (sec) N/A 0.006 0.007 0.004 0.973 0.408 0.000 1.105 0.260
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 47 37 36 35 0 25 -1
normalized size 1 1.00 1.07 0.84 0.82 0.80 0.00 0.57 -0.02
time (sec) N/A 0.017 0.053 0.004 0.993 0.408 0.000 1.004 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 23 25 22 28 19 22 23
normalized size 1 1.00 0.88 0.96 0.85 1.08 0.73 0.85 0.88
time (sec) N/A 0.006 0.008 0.004 1.095 0.395 0.129 0.972 0.189
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 31 36 59 49 0 36 29
normalized size 1 1.00 0.72 0.84 1.37 1.14 0.00 0.84 0.67
time (sec) N/A 0.008 0.010 0.005 0.419 0.397 0.000 1.067 0.050
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 32 23 22 35 29 22 22
normalized size 1 1.00 0.97 0.70 0.67 1.06 0.88 0.67 0.67
time (sec) N/A 0.025 0.013 0.016 1.093 0.411 1.545 1.042 0.210
Problem 151 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 30 30 30 23 22 22 22 22 34
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.73 0.73 1.13
time (sec) N/A 0.015 0.007 0.009 1.000 0.423 1.493 0.920 0.227
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 42 13 6 16 3 16 12
normalized size 1 1.00 3.00 0.93 0.43 1.14 0.21 1.14 0.86
time (sec) N/A 0.002 0.003 0.003 0.437 0.397 1.029 0.848 0.188
Problem 153 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 15 15 15 14 13 13 10 15 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 1.00 0.87
time (sec) N/A 0.004 0.004 0.007 0.432 0.378 0.103 0.777 0.177
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 25 21 20 20 19 21 20
normalized size 1 1.00 0.96 0.81 0.77 0.77 0.73 0.81 0.77
time (sec) N/A 0.016 0.005 0.001 0.423 0.382 0.078 0.868 0.033
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 22 19
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.88 0.76
time (sec) N/A 0.042 0.007 0.010 0.434 0.409 0.147 0.755 0.185
Problem 156 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 30 30 29 25 24 36 20 26 22
normalized size 1 1.00 0.97 0.83 0.80 1.20 0.67 0.87 0.73
time (sec) N/A 0.030 0.017 0.008 0.431 0.398 0.102 1.050 0.050
Problem 157 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 23 23 23 18 17 17 17 18 21
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.74 0.78 0.91
time (sec) N/A 0.038 0.005 0.006 0.976 0.405 0.143 0.937 0.052
Problem 158 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 38 38 38 32 31 31 34 31 30
normalized size 1 1.00 1.00 0.84 0.82 0.82 0.89 0.82 0.79
time (sec) N/A 0.038 0.011 0.005 0.987 0.405 0.128 0.858 0.167
Problem 159 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 103 103 93 73 77 136 88 74 96
normalized size 1 1.00 0.90 0.71 0.75 1.32 0.85 0.72 0.93
time (sec) N/A 0.537 0.049 0.012 0.969 0.409 0.542 1.025 0.262
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 29 44 27 30 33
normalized size 1 1.00 1.00 0.85 0.88 1.33 0.82 0.91 1.00
time (sec) N/A 0.047 0.022 0.011 1.250 0.387 0.157 0.907 0.161
Problem 161 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 19 19 16 16 15 19 12 15 16
normalized size 1 1.00 0.84 0.84 0.79 1.00 0.63 0.79 0.84
time (sec) N/A 0.003 0.005 0.002 1.164 0.374 0.112 1.079 0.024
Problem 162 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 19 19 19 14 13 13 12 15 12
normalized size 1 1.00 1.00 0.74 0.68 0.68 0.63 0.79 0.63
time (sec) N/A 0.003 0.003 0.005 0.589 0.384 0.104 0.971 0.098
Problem 163 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 19 19 21 16 15 15 17 17 8
normalized size 1 1.00 1.11 0.84 0.79 0.79 0.89 0.89 0.42
time (sec) N/A 0.007 0.003 0.006 0.446 0.388 0.108 1.081 0.122
Problem 164 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 32 32 32 27 26 37 26 43 22
normalized size 1 1.00 1.00 0.84 0.81 1.16 0.81 1.34 0.69
time (sec) N/A 0.026 0.017 0.009 0.522 0.386 0.143 0.893 0.100
Problem 165 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 43 43 33 34 34 53 32 31 29
normalized size 1 1.00 0.77 0.79 0.79 1.23 0.74 0.72 0.67
time (sec) N/A 0.042 0.024 0.009 0.482 0.380 0.166 0.963 0.230
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 19 26 17 21 16
normalized size 1 1.00 1.00 0.86 0.90 1.24 0.81 1.00 0.76
time (sec) N/A 0.011 0.002 0.008 0.632 0.378 0.111 0.921 0.040
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 24 23 19 17 26 19
normalized size 1 1.00 1.00 0.96 0.92 0.76 0.68 1.04 0.76
time (sec) N/A 0.050 0.006 0.009 0.625 0.388 0.111 1.171 0.168
Problem 168 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 11 11 11 12 13 11 8 13 11
normalized size 1 1.00 1.00 1.09 1.18 1.00 0.73 1.18 1.00
time (sec) N/A 0.012 0.004 0.006 0.479 0.394 0.102 1.022 0.175
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 32 31 31 36 31 56
normalized size 1 1.00 1.00 0.89 0.86 0.86 1.00 0.86 1.56
time (sec) N/A 0.118 0.017 0.005 1.280 0.401 0.214 0.900 0.108
Problem 170 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 29 29 29 22 21 33 22 21 23
normalized size 1 1.00 1.00 0.76 0.72 1.14 0.76 0.72 0.79
time (sec) N/A 0.113 0.017 0.011 1.321 0.399 0.183 0.874 0.168
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 54 48 47 60 63 60 61
normalized size 1 1.00 0.90 0.80 0.78 1.00 1.05 1.00 1.02
time (sec) N/A 0.254 0.054 0.011 1.058 0.406 0.267 0.901 0.124
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 28 25 30 39 27 25 30
normalized size 1 1.00 0.76 0.68 0.81 1.05 0.73 0.68 0.81
time (sec) N/A 0.008 0.013 0.010 1.142 0.390 0.136 0.985 0.156
Problem 173 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 97 97 78 68 75 134 88 71 84
normalized size 1 1.00 0.80 0.70 0.77 1.38 0.91 0.73 0.87
time (sec) N/A 0.077 0.044 0.014 1.182 0.411 0.237 0.931 0.241
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 36 35 39 46 36 49
normalized size 1 1.00 1.00 0.78 0.76 0.85 1.00 0.78 1.07
time (sec) N/A 0.059 0.026 0.010 1.113 0.410 0.176 0.985 0.237
Problem 175 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 48 38 37 46 48 38 51
normalized size 1 1.00 1.00 0.79 0.77 0.96 1.00 0.79 1.06
time (sec) N/A 0.024 0.012 0.008 1.268 0.405 0.162 0.969 0.109
Problem 176 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 15 15 19 14 13 13 10 14 13
normalized size 1 1.00 1.27 0.93 0.87 0.87 0.67 0.93 0.87
time (sec) N/A 0.006 0.003 0.002 0.461 0.396 0.076 0.941 0.025
Problem 177 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 10 10 8 9 8 8 7 9 8
normalized size 1 1.00 0.80 0.90 0.80 0.80 0.70 0.90 0.80
time (sec) N/A 0.004 0.002 0.004 0.539 0.409 0.075 1.184 0.028
Problem 178 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 13 13 13 12 11 11 10 13 11
normalized size 1 1.00 1.00 0.92 0.85 0.85 0.77 1.00 0.85
time (sec) N/A 0.006 0.004 0.006 0.585 0.408 0.108 1.101 0.168
Problem 179 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 11 11 11 12 11 11 8 13 10
normalized size 1 1.00 1.00 1.09 1.00 1.00 0.73 1.18 0.91
time (sec) N/A 0.001 0.003 0.005 0.530 0.416 0.104 1.008 0.068
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 15 13 12 12 10 13 10
normalized size 1 1.00 1.25 1.08 1.00 1.00 0.83 1.08 0.83
time (sec) N/A 0.006 0.003 0.003 0.484 0.398 0.081 1.003 0.158
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 19 27 26 20 80 28 18
normalized size 1 1.00 0.73 1.04 1.00 0.77 3.08 1.08 0.69
time (sec) N/A 0.006 0.007 0.007 0.589 0.397 0.227 0.906 0.219
Problem 182 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 14 14 14 13 12 12 10 14 12
normalized size 1 1.00 1.00 0.93 0.86 0.86 0.71 1.00 0.86
time (sec) N/A 0.018 0.004 0.006 0.502 0.404 0.104 1.000 0.044
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 19 18 18 17 20 14
normalized size 1 1.00 1.00 0.73 0.69 0.69 0.65 0.77 0.54
time (sec) N/A 0.016 0.006 0.008 0.511 0.397 0.107 0.834 0.041
Problem 184 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 14 14 14 15 14 17 10 15 14
normalized size 1 1.00 1.00 1.07 1.00 1.21 0.71 1.07 1.00
time (sec) N/A 0.005 0.005 0.006 0.491 0.387 0.086 1.089 0.030
Problem 185 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 23 23 23 20 19 19 19 22 17
normalized size 1 1.00 1.00 0.87 0.83 0.83 0.83 0.96 0.74
time (sec) N/A 0.008 0.005 0.006 0.512 0.411 0.144 0.864 0.083
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 15 18 15
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.88 1.06 0.88
time (sec) N/A 0.040 0.006 0.010 0.505 0.416 0.142 0.927 0.066
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 16 8 13 12
normalized size 1 1.00 1.00 1.08 1.00 1.33 0.67 1.08 1.00
time (sec) N/A 0.005 0.005 0.006 0.454 0.413 0.082 0.857 0.034
Problem 188 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 30 30 22 21 20 26 19 21 22
normalized size 1 1.00 0.73 0.70 0.67 0.87 0.63 0.70 0.73
time (sec) N/A 0.010 0.009 0.007 0.475 0.408 0.131 0.966 0.061
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 26 21 20 27 22 26 22
normalized size 1 1.00 0.93 0.75 0.71 0.96 0.79 0.93 0.79
time (sec) N/A 0.010 0.017 0.009 0.563 0.400 0.127 0.972 0.212
Problem 190 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 14 14 14 15 14 18 14 16 14
normalized size 1 1.00 1.00 1.07 1.00 1.29 1.00 1.14 1.00
time (sec) N/A 0.023 0.004 0.009 0.514 0.388 0.123 0.884 0.042
Problem 191 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 19 19 25 18 17 17 17 20 17
normalized size 1 1.00 1.32 0.95 0.89 0.89 0.89 1.05 0.89
time (sec) N/A 0.027 0.007 0.010 0.502 0.403 0.146 0.899 0.181
Problem 192 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 15 15 15 14 13 13 12 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 0.93 0.87
time (sec) N/A 0.009 0.005 0.001 0.546 0.380 0.110 0.886 0.051
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 24 27 40 20 30 27
normalized size 1 1.00 1.00 0.96 1.08 1.60 0.80 1.20 1.08
time (sec) N/A 0.008 0.012 0.012 0.437 0.385 0.120 0.947 0.050
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 20 22 31 19 18 21
normalized size 1 1.00 1.00 0.95 1.05 1.48 0.90 0.86 1.00
time (sec) N/A 0.007 0.010 0.006 0.520 0.400 0.095 0.927 0.026
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 22 17 16 20 15 18 8
normalized size 1 1.00 2.75 2.12 2.00 2.50 1.88 2.25 1.00
time (sec) N/A 0.005 0.003 0.009 0.477 0.413 0.111 0.895 0.167
Problem 196 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 15 15 15 14 13 13 10 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.87 0.87
time (sec) N/A 0.009 0.004 0.001 0.609 0.395 0.099 0.864 0.040
Problem 197 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 18 18 18 15 14 14 12 14 14
normalized size 1 1.00 1.00 0.83 0.78 0.78 0.67 0.78 0.78
time (sec) N/A 0.008 0.003 0.003 0.630 0.385 0.081 1.028 0.025
Problem 198 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 20 20 20 19 18 18 17 18 18
normalized size 1 1.00 1.00 0.95 0.90 0.90 0.85 0.90 0.90
time (sec) N/A 0.009 0.004 0.003 1.340 0.400 0.112 0.915 0.160
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 27 26 26 34 26 28
normalized size 1 1.00 1.00 0.87 0.84 0.84 1.10 0.84 0.90
time (sec) N/A 0.014 0.007 0.003 1.174 0.389 0.122 0.932 0.160
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 31 22 21 21 22 21 17
normalized size 1 1.00 1.15 0.81 0.78 0.78 0.81 0.78 0.63
time (sec) N/A 0.025 0.005 0.005 1.187 0.397 0.122 0.939 0.042
Problem 201 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 23 23 28 20 19 19 19 20 25
normalized size 1 1.00 1.22 0.87 0.83 0.83 0.83 0.87 1.09
time (sec) N/A 0.035 0.008 0.007 1.370 0.417 0.145 0.846 0.054
Problem 202 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 28 28 28 24 23 23 29 24 55
normalized size 1 1.00 1.00 0.86 0.82 0.82 1.04 0.86 1.96
time (sec) N/A 0.022 0.010 0.007 1.394 0.414 0.145 0.955 0.300
Problem 203 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 41 41 41 33 32 32 41 33 46
normalized size 1 1.00 1.00 0.80 0.78 0.78 1.00 0.80 1.12
time (sec) N/A 0.020 0.006 0.002 1.263 0.403 0.143 1.016 0.063
Problem 204 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 41 41 42 36 35 35 42 36 47
normalized size 1 1.00 1.02 0.88 0.85 0.85 1.02 0.88 1.15
time (sec) N/A 0.024 0.008 0.006 1.456 0.407 0.144 0.875 0.229
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 21 20 36 20 47 28
normalized size 1 1.00 0.92 0.88 0.83 1.50 0.83 1.96 1.17
time (sec) N/A 0.034 0.016 0.008 1.192 0.397 0.149 0.947 0.044
Problem 206 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 14 14 26 19 18 18 19 20 10
normalized size 1 1.00 1.86 1.36 1.29 1.29 1.36 1.43 0.71
time (sec) N/A 0.006 0.005 0.005 1.208 0.411 0.134 1.054 0.056
Problem 207 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 29 29 29 25 24 24 29 24 51
normalized size 1 1.00 1.00 0.86 0.83 0.83 1.00 0.83 1.76
time (sec) N/A 0.114 0.015 0.005 1.248 0.399 0.207 1.033 0.075
Problem 208 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 23 23 23 18 17 17 19 17 33
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.83 0.74 1.43
time (sec) N/A 0.031 0.010 0.006 1.186 0.406 0.195 0.943 0.186
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 35 32 39 41 32 36
normalized size 1 1.00 1.00 0.90 0.82 1.00 1.05 0.82 0.92
time (sec) N/A 0.014 0.026 0.006 1.102 0.399 0.132 0.932 0.041
Problem 210 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 10 10 10 11 14 18 8 14 10
normalized size 1 1.00 1.00 1.10 1.40 1.80 0.80 1.40 1.00
time (sec) N/A 0.017 0.007 0.000 0.439 0.408 0.103 0.914 0.155
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 26 12 11 15 12 15 11
normalized size 1 1.00 2.36 1.09 1.00 1.36 1.09 1.36 1.00
time (sec) N/A 0.048 0.095 0.050 0.561 0.448 0.239 1.039 0.087
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 82 18 17 17 19 17 17
normalized size 1 1.00 4.10 0.90 0.85 0.85 0.95 0.85 0.85
time (sec) N/A 0.052 0.226 0.031 1.501 0.447 0.539 0.803 0.060
Problem 213 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 19 19 19 14 13 13 12 15 8
normalized size 1 1.00 1.00 0.74 0.68 0.68 0.63 0.79 0.42
time (sec) N/A 0.004 0.003 0.006 0.574 0.398 0.110 0.842 0.076
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 11 11 10 13 6
normalized size 1 1.00 1.00 0.71 0.65 0.65 0.59 0.76 0.35
time (sec) N/A 0.002 0.002 0.006 0.517 0.399 0.103 0.898 0.097
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 17 19 13
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.81 0.90 0.62
time (sec) N/A 0.005 0.005 0.006 0.587 0.407 0.116 0.976 0.205
Problem 216 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 44 27 37 44 46 40 36
normalized size 1 1.00 0.90 0.55 0.76 0.90 0.94 0.82 0.73
time (sec) N/A 0.012 0.023 0.003 1.321 0.388 0.115 0.963 0.177
Problem 217 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 63 63 57 51 50 50 68 53 58
normalized size 1 1.00 0.90 0.81 0.79 0.79 1.08 0.84 0.92
time (sec) N/A 0.087 0.031 0.011 1.273 0.419 0.370 1.032 0.280
Problem 218 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 86 86 67 54 59 103 65 59 71
normalized size 1 1.00 0.78 0.63 0.69 1.20 0.76 0.69 0.83
time (sec) N/A 0.098 0.064 0.017 1.200 0.409 0.232 0.900 0.128
Problem 219 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 24 24 24 29 28 28 44 29 18
normalized size 1 1.00 1.00 1.21 1.17 1.17 1.83 1.21 0.75
time (sec) N/A 0.005 0.006 0.008 0.506 0.414 0.923 0.846 0.036
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 22 175 272 638 0 139 223
normalized size 1 1.00 0.11 0.88 1.36 3.19 0.00 0.70 1.12
time (sec) N/A 0.378 0.014 0.053 1.358 1.353 0.000 1.633 0.240
Problem 221 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 18 18 41 22 30 27 20 23 11
normalized size 1 1.00 2.28 1.22 1.67 1.50 1.11 1.28 0.61
time (sec) N/A 0.012 0.018 0.064 0.549 0.443 0.288 0.965 0.488
Problem 222 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 18 18 18 27 15 14 15 14 14
normalized size 1 1.00 1.00 1.50 0.83 0.78 0.83 0.78 0.78
time (sec) N/A 0.006 0.008 0.005 0.606 0.405 0.134 1.054 0.056
Problem 223 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 32 32 28 21 28 20 26 20 20
normalized size 1 1.00 0.88 0.66 0.88 0.62 0.81 0.62 0.62
time (sec) N/A 0.013 0.012 0.004 0.506 0.410 0.137 0.925 0.027
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 16 16 16 13 12 12 14 12 12
normalized size 1 1.00 1.00 0.81 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.003 0.004 0.006 1.235 0.398 0.173 0.910 0.031
Problem 225 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 10 10 10 9 19 19 26 20 8
normalized size 1 1.00 1.00 0.90 1.90 1.90 2.60 2.00 0.80
time (sec) N/A 0.003 0.002 0.003 0.512 0.418 0.599 0.949 0.159
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 50 17 8 22 18 8
normalized size 1 1.00 1.00 3.57 1.21 0.57 1.57 1.29 0.57
time (sec) N/A 0.004 0.002 0.020 0.510 0.411 0.205 1.236 0.150
Problem 227 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 31 31 31 54 21 21 36 22 25
normalized size 1 1.00 1.00 1.74 0.68 0.68 1.16 0.71 0.81
time (sec) N/A 0.023 0.011 0.020 0.605 0.417 2.762 0.958 0.192
Problem 228 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 32 32 21 18 22 17 76 22 19
normalized size 1 1.00 0.66 0.56 0.69 0.53 2.38 0.69 0.59
time (sec) N/A 0.005 0.006 0.003 0.695 0.411 1.329 1.015 0.033
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 25 24 24 76 24 24
normalized size 1 1.00 1.00 0.81 0.77 0.77 2.45 0.77 0.77
time (sec) N/A 0.008 0.008 0.008 1.281 0.399 1.330 1.058 0.159
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 22 20 19 14 117 19 12
normalized size 1 1.00 0.76 0.69 0.66 0.48 4.03 0.66 0.41
time (sec) N/A 0.007 0.007 0.006 0.558 0.402 0.914 0.968 0.236
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.005 0.002 0.007 1.219 0.402 0.311 0.919 0.243
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 20 16 15 15 17 16 15
normalized size 1 1.00 0.95 0.76 0.71 0.71 0.81 0.76 0.71
time (sec) N/A 0.011 0.008 0.003 0.526 0.395 0.159 0.846 0.172
Problem 233 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 30 30 30 23 22 22 26 23 22
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.87 0.77 0.73
time (sec) N/A 0.017 0.013 0.004 0.608 0.423 0.181 0.995 0.039
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 20 17 19 16 26 19 16
normalized size 1 1.00 0.74 0.63 0.70 0.59 0.96 0.70 0.59
time (sec) N/A 0.010 0.007 0.004 0.479 0.406 0.940 1.099 0.262
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 29 242 293 547 311 140 208
normalized size 1 1.00 0.14 1.20 1.46 2.72 1.55 0.70 1.03
time (sec) N/A 0.216 0.008 0.026 1.219 1.329 25.121 1.604 0.062
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 24 46 45 47 68 45 73
normalized size 1 1.00 0.39 0.74 0.73 0.76 1.10 0.73 1.18
time (sec) N/A 0.037 0.008 0.009 1.281 0.424 0.645 0.959 0.171
Problem 237 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 130 130 130 83 82 76 121 82 82
normalized size 1 1.00 1.00 0.64 0.63 0.58 0.93 0.63 0.63
time (sec) N/A 0.046 0.040 0.005 0.483 0.421 3.168 1.034 0.143
Problem 238 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 24 24 24 40 37 26 0 28 20
normalized size 1 1.00 1.00 1.67 1.54 1.08 0.00 1.17 0.83
time (sec) N/A 0.009 0.008 0.007 1.201 0.402 0.000 1.135 0.157
Problem 239 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 11 11 11 12 11 13 10 12 9
normalized size 1 1.00 1.00 1.09 1.00 1.18 0.91 1.09 0.82
time (sec) N/A 0.021 0.009 0.056 0.655 0.423 0.217 0.828 0.143
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 14 15 15
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.82 0.88 0.88
time (sec) N/A 0.032 0.014 0.011 0.469 0.404 0.134 0.883 0.213
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 10 21 21 26 21 9
normalized size 1 1.00 1.00 0.83 1.75 1.75 2.17 1.75 0.75
time (sec) N/A 0.008 0.004 0.005 0.644 0.428 1.414 0.973 0.030
Problem 242 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 28 28 28 36 35 35 32 37 40
normalized size 1 1.00 1.00 1.29 1.25 1.25 1.14 1.32 1.43
time (sec) N/A 0.013 0.009 0.006 0.499 0.473 1.724 1.020 0.190
Problem 243 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 43 43 43 22 30 27 20 23 11
normalized size 1 1.00 1.00 0.51 0.70 0.63 0.47 0.53 0.26
time (sec) N/A 0.019 0.014 0.026 0.474 0.464 0.237 0.984 0.392
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 19 39 38 39 37 21
normalized size 1 1.00 1.14 0.90 1.86 1.81 1.86 1.76 1.00
time (sec) N/A 0.010 0.022 0.000 1.154 0.418 0.524 1.024 0.373
Problem 245 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 11 11 24 16 25 17 14 17 11
normalized size 1 1.00 2.18 1.45 2.27 1.55 1.27 1.55 1.00
time (sec) N/A 0.011 0.017 0.059 0.593 0.467 0.251 0.938 0.068
Problem 246 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 18 18 43 22 30 27 20 23 11
normalized size 1 1.00 2.39 1.22 1.67 1.50 1.11 1.28 0.61
time (sec) N/A 0.012 0.017 0.057 0.633 0.461 0.290 0.967 0.480
Problem 247 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 24 24 35 24 25 35 0 28 16
normalized size 1 1.00 1.46 1.00 1.04 1.46 0.00 1.17 0.67
time (sec) N/A 0.052 0.021 0.064 0.605 0.456 0.000 1.111 0.300
Problem 248 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 24 24 39 24 220 35 0 28 16
normalized size 1 1.00 1.62 1.00 9.17 1.46 0.00 1.17 0.67
time (sec) N/A 0.027 0.037 0.106 0.539 0.444 0.000 1.147 0.338
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 24 23 33 0 25 22
normalized size 1 1.00 1.00 1.33 1.28 1.83 0.00 1.39 1.22
time (sec) N/A 0.030 0.019 0.045 0.434 0.431 0.000 1.212 0.128
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 38 35 61 98 139 61 31
normalized size 1 1.00 1.06 0.97 1.69 2.72 3.86 1.69 0.86
time (sec) N/A 0.022 0.046 0.070 1.311 0.422 8.115 1.120 0.728
Problem 251 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 15 15 15 16 15 43 0 26 15
normalized size 1 1.00 1.00 1.07 1.00 2.87 0.00 1.73 1.00
time (sec) N/A 0.025 0.047 0.000 1.127 0.445 0.000 0.821 0.499
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 12 12 10 14 8 8 7 9 8
normalized size 1 1.00 0.83 1.17 0.67 0.67 0.58 0.75 0.67
time (sec) N/A 0.002 0.002 0.000 0.473 0.401 0.080 0.863 0.042
Problem 253 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 17 17 17 12 26 11 12 11 11
normalized size 1 1.00 1.00 0.71 1.53 0.65 0.71 0.65 0.65
time (sec) N/A 0.003 0.003 0.003 0.615 0.396 0.142 0.929 0.028
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 12 12 8 9 10 10 7 8 6
normalized size 1 1.00 0.67 0.75 0.83 0.83 0.58 0.67 0.50
time (sec) N/A 0.009 0.010 0.000 0.451 0.394 0.356 0.969 0.196
Problem 255 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 16 16 16 24 27 34 27 29 30
normalized size 1 1.00 1.00 1.50 1.69 2.12 1.69 1.81 1.88
time (sec) N/A 0.014 0.008 0.002 0.583 0.432 0.122 1.125 0.002
Problem 256 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 17 17 17 42 14 14 14 14 13
normalized size 1 1.00 1.00 2.47 0.82 0.82 0.82 0.82 0.76
time (sec) N/A 0.025 0.018 0.002 0.559 0.414 0.105 0.965 0.002
Problem 257 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 24 24 16 17 11 11 20 11 11
normalized size 1 1.00 0.67 0.71 0.46 0.46 0.83 0.46 0.46
time (sec) N/A 0.009 0.006 0.000 0.460 0.411 0.207 0.991 0.002
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 42 42 42 31 30 30 36 33 30
normalized size 1 1.00 1.00 0.74 0.71 0.71 0.86 0.79 0.71
time (sec) N/A 0.043 0.009 0.010 0.519 0.422 0.161 0.934 0.184
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 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.014 0.002 0.006 0.484 0.413 0.424 0.925 0.069
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 11 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.92 0.83
time (sec) N/A 0.006 0.003 0.004 0.478 0.437 0.077 1.040 0.031
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 5 5 5 4 3 3 3 3 3
normalized size 1 1.00 1.00 0.80 0.60 0.60 0.60 0.60 0.60
time (sec) N/A 0.006 0.005 0.009 0.456 0.425 0.701 0.944 0.031
Problem 262 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 24 24 14 19 10 19 14 10 18
normalized size 1 1.00 0.58 0.79 0.42 0.79 0.58 0.42 0.75
time (sec) N/A 0.028 0.005 0.002 0.474 0.431 0.071 0.969 0.002
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 9 8 11 8 18 32
normalized size 1 1.00 1.00 1.12 1.00 1.38 1.00 2.25 4.00
time (sec) N/A 0.023 0.025 0.049 0.505 0.433 0.147 0.985 0.420
Problem 264 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 13 13 13 17 11 11 8 11 11
normalized size 1 1.00 1.00 1.31 0.85 0.85 0.62 0.85 0.85
time (sec) N/A 0.002 0.002 0.001 0.481 0.395 0.188 0.983 0.002
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 9
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.53
time (sec) N/A 0.007 0.001 0.008 0.589 0.432 0.096 0.932 0.188
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 19 18 18 107 18 18
normalized size 1 1.00 1.00 0.79 0.75 0.75 4.46 0.75 0.75
time (sec) N/A 0.006 0.005 0.009 1.280 0.399 1.279 1.124 0.039
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 16 8 13 12
normalized size 1 1.00 1.00 1.08 1.00 1.33 0.67 1.08 1.00
time (sec) N/A 0.005 0.003 0.007 0.505 0.402 0.085 0.997 0.034
Problem 268 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 16 16 16 17 16 16 15 16 16
normalized size 1 1.00 1.00 1.06 1.00 1.00 0.94 1.00 1.00
time (sec) N/A 0.005 0.002 0.008 1.173 0.404 0.129 1.013 0.180
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 30 29 29 32 0 18
normalized size 1 1.00 1.00 1.36 1.32 1.32 1.45 0.00 0.82
time (sec) N/A 0.056 0.023 0.003 0.521 0.393 2.326 0.000 0.254
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 43 19 46 54 42 42
normalized size 1 1.00 0.81 1.59 0.70 1.70 2.00 1.56 1.56
time (sec) N/A 0.006 0.019 0.002 0.473 0.399 0.965 1.275 0.032
Problem 271 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 17 17 17 22 30 14 14 14 14
normalized size 1 1.00 1.00 1.29 1.76 0.82 0.82 0.82 0.82
time (sec) N/A 0.025 0.011 0.030 0.472 0.420 0.113 1.398 0.187
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 15 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.68 0.73 0.73
time (sec) N/A 0.008 0.004 0.004 1.299 0.396 0.110 1.253 0.162
Problem 273 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 32 32 28 25 24 24 24 26 24
normalized size 1 1.00 0.88 0.78 0.75 0.75 0.75 0.81 0.75
time (sec) N/A 0.010 0.010 0.004 1.203 0.438 0.211 1.273 0.028
Problem 274 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 30 30 30 25 35 28 73 40 30
normalized size 1 1.00 1.00 0.83 1.17 0.93 2.43 1.33 1.00
time (sec) N/A 0.015 0.006 0.006 1.148 0.395 1.356 1.397 0.063
Problem 275 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 13 13 13 14 13 13 10 15 13
normalized size 1 1.00 1.00 1.08 1.00 1.00 0.77 1.15 1.00
time (sec) N/A 0.003 0.003 0.001 0.490 0.412 0.100 1.269 0.050
Problem 276 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 16 16 14 17 44 14 17 27 16
normalized size 1 1.00 0.88 1.06 2.75 0.88 1.06 1.69 1.00
time (sec) N/A 0.027 0.013 0.016 0.475 0.406 0.356 1.329 0.180
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 20 14 15 15 14 18 13
normalized size 1 1.00 1.18 0.82 0.88 0.88 0.82 1.06 0.76
time (sec) N/A 0.009 0.006 0.002 0.481 0.387 0.105 1.298 0.070
Problem 278 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 3 3 3 4 3 3 3 3 3
normalized size 1 1.00 1.00 1.33 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.018 0.005 0.025 1.119 0.420 0.232 0.939 0.073
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 20 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.73
time (sec) N/A 0.011 0.014 0.002 0.498 0.405 0.326 1.019 0.225
Problem 280 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 9 9 9 10 9 9 7 9 9
normalized size 1 1.00 1.00 1.11 1.00 1.00 0.78 1.00 1.00
time (sec) N/A 0.004 0.004 0.006 0.505 0.409 0.065 0.929 0.018
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.020 0.008 0.000 0.672 0.409 0.099 1.003 0.046
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 19 21 26 19 19
normalized size 1 1.00 0.81 0.81 0.70 0.78 0.96 0.70 0.70
time (sec) N/A 0.010 0.031 0.015 0.474 0.417 0.325 1.008 0.028
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 22 26 13 13
normalized size 1 1.00 1.00 0.82 0.76 1.29 1.53 0.76 0.76
time (sec) N/A 0.008 0.007 0.075 0.539 0.433 0.577 1.038 0.058
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 20 25
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.80 1.00
time (sec) N/A 0.014 0.006 0.006 1.268 0.395 0.131 0.922 0.176
Problem 285 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 39 39 28 46 29 25 29 49 25
normalized size 1 1.00 0.72 1.18 0.74 0.64 0.74 1.26 0.64
time (sec) N/A 0.015 0.009 0.004 0.473 0.396 0.115 1.030 0.041
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 16 14 13 13 12 13 13
normalized size 1 1.00 0.62 0.54 0.50 0.50 0.46 0.50 0.50
time (sec) N/A 0.027 0.003 0.003 0.482 0.407 0.096 0.873 0.050
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 18 11 10 10 12 10 10
normalized size 1 1.00 1.50 0.92 0.83 0.83 1.00 0.83 0.83
time (sec) N/A 0.005 0.009 0.006 1.111 0.416 0.072 1.295 0.178
Problem 288 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 25 25 24 30 22 20 0 21 20
normalized size 1 1.00 0.96 1.20 0.88 0.80 0.00 0.84 0.80
time (sec) N/A 0.005 0.006 0.005 1.094 0.404 0.000 1.138 0.273
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 23 22 21 21 20 21 21
normalized size 1 1.00 0.85 0.81 0.78 0.78 0.74 0.78 0.78
time (sec) N/A 0.015 0.006 0.004 0.486 0.426 0.346 0.900 0.168
Problem 290 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 19 19 19 12 11 11 15 11 12
normalized size 1 1.00 1.00 0.63 0.58 0.58 0.79 0.58 0.63
time (sec) N/A 0.003 0.004 0.002 0.577 0.390 1.674 1.013 0.026
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 6 19 15 15 16 15
normalized size 1 1.00 1.00 1.00 3.17 2.50 2.50 2.67 2.50
time (sec) N/A 0.010 0.004 0.005 0.584 0.415 0.111 0.794 0.099
Problem 292 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 14 14 14 11 10 10 10 10 10
normalized size 1 1.00 1.00 0.79 0.71 0.71 0.71 0.71 0.71
time (sec) N/A 0.013 0.006 0.005 1.248 0.390 0.109 1.651 0.186
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 8 8 10 32 8
normalized size 1 1.00 1.00 0.75 0.67 0.67 0.83 2.67 0.67
time (sec) N/A 0.003 0.002 0.001 1.485 0.398 0.236 0.897 0.219
Problem 294 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 34 34 30 26 18 25 31 22 26
normalized size 1 1.00 0.88 0.76 0.53 0.74 0.91 0.65 0.76
time (sec) N/A 0.033 0.009 0.001 0.504 0.428 0.066 0.910 0.039
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 7 8 29 0 6 6
normalized size 1 1.00 1.00 0.58 0.67 2.42 0.00 0.50 0.50
time (sec) N/A 0.007 0.006 0.005 1.217 0.401 0.000 1.018 0.163
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 59 14 21 44 14 21
normalized size 1 1.00 1.00 3.69 0.88 1.31 2.75 0.88 1.31
time (sec) N/A 0.046 0.028 0.018 0.489 0.407 5.471 0.819 0.134
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 20 6 5 7 12 7 5
normalized size 1 1.00 2.86 0.86 0.71 1.00 1.71 1.00 0.71
time (sec) N/A 0.013 0.006 0.029 0.532 0.428 2.257 0.834 0.049
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 6 15 15 15 16 15
normalized size 1 1.00 1.00 1.00 2.50 2.50 2.50 2.67 2.50
time (sec) N/A 0.017 0.002 0.009 0.479 0.419 0.107 0.910 0.027
Problem 299 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 43 43 43 35 32 32 41 33 46
normalized size 1 1.00 1.00 0.81 0.74 0.74 0.95 0.77 1.07
time (sec) N/A 0.020 0.009 0.005 1.113 0.406 0.139 0.816 0.088
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 29 38 74 30 42 57 37
normalized size 1 1.00 0.78 1.03 2.00 0.81 1.14 1.54 1.00
time (sec) N/A 0.076 0.017 0.017 0.482 0.405 2.150 1.030 0.210
Problem 301 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 9 9 9 8 7 12 0 7 27
normalized size 1 1.00 1.00 0.89 0.78 1.33 0.00 0.78 3.00
time (sec) N/A 0.023 0.008 0.043 0.503 0.431 0.000 1.078 2.593
Problem 302 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 20 20 20 17 16 16 12 16 15
normalized size 1 1.00 1.00 0.85 0.80 0.80 0.60 0.80 0.75
time (sec) N/A 0.002 0.000 0.002 0.598 0.352 0.057 0.967 0.027
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 12 9 9 8 10 9
normalized size 1 1.00 1.00 1.00 0.75 0.75 0.67 0.83 0.75
time (sec) N/A 0.021 0.011 0.010 0.647 0.418 0.087 1.283 0.181
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 15 17 17
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.71 0.81 0.81
time (sec) N/A 0.011 0.005 0.010 0.443 0.407 0.108 0.974 0.053
Problem 305 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 43 43 43 22 30 27 20 23 11
normalized size 1 1.00 1.00 0.51 0.70 0.63 0.47 0.53 0.26
time (sec) N/A 0.018 0.013 0.029 0.466 0.436 0.246 1.130 0.396
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 18 15 16 22 144 43 14
normalized size 1 1.00 0.75 0.62 0.67 0.92 6.00 1.79 0.58
time (sec) N/A 0.004 0.007 0.003 0.628 0.389 1.104 0.936 0.161
Problem 307 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 38 38 24 26 16 16 34 16 21
normalized size 1 1.00 0.63 0.68 0.42 0.42 0.89 0.42 0.55
time (sec) N/A 0.019 0.008 0.005 0.575 0.396 0.341 1.074 0.032
Problem 308 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 37 37 37 93 30 32 39 30 32
normalized size 1 1.00 1.00 2.51 0.81 0.86 1.05 0.81 0.86
time (sec) N/A 0.036 0.017 0.015 1.346 0.400 2.558 0.952 0.196
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 21 14 17 15
normalized size 1 1.00 1.00 0.94 0.88 1.24 0.82 1.00 0.88
time (sec) N/A 0.029 0.004 0.009 0.545 0.402 0.112 0.982 0.043
Problem 310 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 40 40 29 35 38 26 39 26 34
normalized size 1 1.00 0.72 0.88 0.95 0.65 0.98 0.65 0.85
time (sec) N/A 0.067 0.061 0.022 0.562 0.410 0.354 0.899 0.200
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 6 5 20 5 5 5
normalized size 1 1.00 1.00 1.20 1.00 4.00 1.00 1.00 1.00
time (sec) N/A 0.009 2.753 0.011 0.465 0.426 0.522 0.906 0.219
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 6 5 4 18 3 4 4
normalized size 1 1.00 1.00 0.83 0.67 3.00 0.50 0.67 0.67
time (sec) N/A 0.001 0.005 0.004 1.125 0.403 0.154 0.980 0.011
Problem 313 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 37 37 24 30 62 62 61 22 29
normalized size 1 1.00 0.65 0.81 1.68 1.68 1.65 0.59 0.78
time (sec) N/A 0.011 0.007 0.007 0.480 0.389 0.147 0.875 0.124
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 58 18 36 19 18 18
normalized size 1 1.00 1.00 2.76 0.86 1.71 0.90 0.86 0.86
time (sec) N/A 0.029 0.024 0.062 0.524 0.439 0.124 1.025 0.377
Problem 315 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 30 30 30 25 24 22 41 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.73 1.37 0.80 0.80
time (sec) N/A 0.034 0.058 0.023 0.578 0.433 0.220 0.935 0.308
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 4 4 27 4 3 3 3 3 3
normalized size 1 1.00 6.75 1.00 0.75 0.75 0.75 0.75 0.75
time (sec) N/A 0.021 0.005 0.005 0.499 0.422 0.816 0.953 0.249
Problem 317 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 13 13 13 12 15 11 10 15 11
normalized size 1 1.00 1.00 0.92 1.15 0.85 0.77 1.15 0.85
time (sec) N/A 0.005 0.003 0.006 0.473 0.401 0.107 0.903 0.069
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 24 24 21 21 22 21 21
normalized size 1 1.00 0.55 0.55 0.48 0.48 0.50 0.48 0.48
time (sec) N/A 0.039 0.009 0.003 0.465 0.413 0.096 0.943 0.042
Problem 319 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 41 41 41 28 27 25 37 27 27
normalized size 1 1.00 1.00 0.68 0.66 0.61 0.90 0.66 0.66
time (sec) N/A 0.012 0.009 0.003 1.134 0.440 3.708 1.028 0.043
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 17 114 13 14
normalized size 1 1.00 1.00 0.80 0.76 0.68 4.56 0.52 0.56
time (sec) N/A 0.030 0.010 0.078 0.607 0.453 13.251 0.989 0.223
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 7 10 8
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.58 0.83 0.67
time (sec) N/A 0.001 0.001 0.002 0.535 0.442 0.090 1.011 0.175
Problem 322 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 41 41 62 41 43 32 0 30 43
normalized size 1 1.00 1.51 1.00 1.05 0.78 0.00 0.73 1.05
time (sec) N/A 0.013 0.024 0.008 1.201 0.425 0.000 1.132 0.050
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 27 119 27 27 29 28 -1
normalized size 1 1.00 0.79 3.50 0.79 0.79 0.85 0.82 -0.03
time (sec) N/A 0.037 0.021 0.000 1.312 0.444 2.855 0.942 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 18 17 17 42 17 17
normalized size 1 1.00 1.00 0.95 0.89 0.89 2.21 0.89 0.89
time (sec) N/A 0.006 0.004 0.004 1.274 0.402 0.111 1.028 0.043
Problem 325 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 38 38 39 30 39 37 0 31 28
normalized size 1 1.00 1.03 0.79 1.03 0.97 0.00 0.82 0.74
time (sec) N/A 0.012 0.015 0.003 1.324 0.422 0.000 0.936 0.046
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 8 8 7 8 8
normalized size 1 1.00 1.00 0.75 0.67 0.67 0.58 0.67 0.67
time (sec) N/A 0.005 0.004 0.003 1.343 0.398 0.119 0.791 0.182
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 27 26 26 36 26 28
normalized size 1 1.00 1.00 0.87 0.84 0.84 1.16 0.84 0.90
time (sec) N/A 0.015 0.010 0.002 1.283 0.409 0.114 1.016 0.038
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 37 16 121 29 0 150 19
normalized size 1 1.00 3.70 1.60 12.10 2.90 0.00 15.00 1.90
time (sec) N/A 0.010 0.010 0.013 1.280 0.449 0.000 1.025 0.111
Problem 329 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 15 15 15 30 29 26 22 30 13
normalized size 1 1.00 1.00 2.00 1.93 1.73 1.47 2.00 0.87
time (sec) N/A 0.007 0.004 0.005 0.522 0.417 0.157 1.066 0.059
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 14 0 13 63 13 21
normalized size 1 1.00 1.00 0.67 0.00 0.62 3.00 0.62 1.00
time (sec) N/A 0.006 0.016 0.001 0.000 0.410 0.360 1.098 0.199
Problem 331 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 23 23 16 18 19 17 17 18 17
normalized size 1 1.00 0.70 0.78 0.83 0.74 0.74 0.78 0.74
time (sec) N/A 0.017 0.011 0.007 0.444 0.404 0.123 0.970 0.249
Problem 332 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 20 20 20 17 16 16 17 16 16
normalized size 1 1.00 1.00 0.85 0.80 0.80 0.85 0.80 0.80
time (sec) N/A 0.008 0.008 0.005 0.545 0.444 0.431 0.906 0.251
Problem 333 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 18 18 18 16 18 19 14 20 18
normalized size 1 1.00 1.00 0.89 1.00 1.06 0.78 1.11 1.00
time (sec) N/A 0.008 0.003 0.010 0.502 0.419 0.136 0.860 0.168
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 19 20 19 25 20 20 19
normalized size 1 1.00 1.58 1.67 1.58 2.08 1.67 1.67 1.58
time (sec) N/A 0.012 0.005 0.012 0.610 0.426 0.124 0.883 0.232
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 11 10 15 12 16 8
normalized size 1 1.00 1.00 1.38 1.25 1.88 1.50 2.00 1.00
time (sec) N/A 0.037 0.008 0.049 1.319 0.436 1.149 0.906 0.213
Problem 336 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 18 18 18 13 12 12 44 12 12
normalized size 1 1.00 1.00 0.72 0.67 0.67 2.44 0.67 0.67
time (sec) N/A 0.003 0.002 0.006 1.698 0.410 1.011 1.118 0.145
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 0 24 0 9 18
normalized size 1 1.00 1.00 0.91 0.00 2.18 0.00 0.82 1.64
time (sec) N/A 0.050 0.017 0.049 0.000 0.521 0.000 1.038 0.430
Problem 338 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 30 30 30 23 22 30 27 22 22
normalized size 1 1.00 1.00 0.77 0.73 1.00 0.90 0.73 0.73
time (sec) N/A 0.006 0.008 0.005 1.303 0.413 0.264 0.996 0.173
Problem 339 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 24 24 20 25 21 21 26 21 23
normalized size 1 1.00 0.83 1.04 0.88 0.88 1.08 0.88 0.96
time (sec) N/A 0.037 0.016 0.012 0.684 0.441 0.683 0.957 0.031
Problem 340 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 50 50 38 42 49 39 0 40 39
normalized size 1 1.00 0.76 0.84 0.98 0.78 0.00 0.80 0.78
time (sec) N/A 0.015 0.020 0.007 1.424 0.405 0.000 0.952 0.212
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 47 9 46 51 9 9
normalized size 1 1.00 1.00 4.27 0.82 4.18 4.64 0.82 0.82
time (sec) N/A 0.001 0.002 0.001 0.584 0.344 0.064 0.983 0.206
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 31 28 19 19 20 19 19
normalized size 1 1.00 1.24 1.12 0.76 0.76 0.80 0.76 0.76
time (sec) N/A 0.027 0.010 0.009 0.476 0.422 0.070 0.869 0.172
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 19 21 26 19 19
normalized size 1 1.00 0.81 0.81 0.70 0.78 0.96 0.70 0.70
time (sec) N/A 0.010 0.029 0.016 0.493 0.420 0.494 0.923 0.029
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 41 24 34 56 36 70 18
normalized size 1 1.00 1.71 1.00 1.42 2.33 1.50 2.92 0.75
time (sec) N/A 0.011 0.009 0.018 0.513 0.446 0.136 1.043 0.069
Problem 345 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 34 34 35 47 33 35 17 44 32
normalized size 1 1.00 1.03 1.38 0.97 1.03 0.50 1.29 0.94
time (sec) N/A 0.008 0.016 0.006 1.241 0.407 0.255 1.028 0.516
Problem 346 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 30 30 30 25 35 28 75 38 37
normalized size 1 1.00 1.00 0.83 1.17 0.93 2.50 1.27 1.23
time (sec) N/A 0.017 0.006 0.006 1.194 0.406 1.558 0.952 0.107
Problem 347 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 32 32 19 17 16 16 15 16 16
normalized size 1 1.00 0.59 0.53 0.50 0.50 0.47 0.50 0.50
time (sec) N/A 0.019 0.006 0.003 0.518 0.395 0.091 0.885 0.033
Problem 348 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 23 23 31 18 17 12 26 17 12
normalized size 1 1.00 1.35 0.78 0.74 0.52 1.13 0.74 0.52
time (sec) N/A 0.037 0.023 0.016 0.433 0.426 0.357 0.887 0.103
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 22 21 21 19 21 21
normalized size 1 1.00 0.89 0.81 0.78 0.78 0.70 0.78 0.78
time (sec) N/A 0.015 0.005 0.004 1.049 0.452 0.203 0.888 0.278
Problem 350 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 38 38 32 31 53 28 29 32 28
normalized size 1 1.00 0.84 0.82 1.39 0.74 0.76 0.84 0.74
time (sec) N/A 0.023 0.011 0.003 1.082 0.434 0.614 0.953 0.220
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 5 5 4 16 0 6 6
normalized size 1 1.00 1.00 1.00 0.80 3.20 0.00 1.20 1.20
time (sec) N/A 0.010 0.005 0.005 0.476 0.421 0.000 0.941 0.047
Problem 352 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 29 29 25 24 21 21 27 21 23
normalized size 1 1.00 0.86 0.83 0.72 0.72 0.93 0.72 0.79
time (sec) N/A 0.028 0.024 0.003 0.458 0.418 0.333 0.920 0.193
Problem 353 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 36 36 33 29 36 47 0 26 27
normalized size 1 1.00 0.92 0.81 1.00 1.31 0.00 0.72 0.75
time (sec) N/A 0.010 0.017 0.003 1.120 0.413 0.000 1.093 0.176
Problem 354 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 28 28 31 23 22 22 24 22 22
normalized size 1 1.00 1.11 0.82 0.79 0.79 0.86 0.79 0.79
time (sec) N/A 0.019 0.010 0.013 1.162 0.408 0.131 0.962 0.056
Problem 355 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 26 26 58 25 42 43 46 38 29
normalized size 1 1.00 2.23 0.96 1.62 1.65 1.77 1.46 1.12
time (sec) N/A 0.014 0.122 0.066 0.648 0.459 0.157 0.902 0.058
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 30 32 24 33 46 22 22
normalized size 1 1.00 0.65 0.70 0.52 0.72 1.00 0.48 0.48
time (sec) N/A 0.020 0.007 0.017 0.526 0.435 0.069 1.019 0.207
Problem 357 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 20 20 15 17 16 24 17 16 11
normalized size 1 1.00 0.75 0.85 0.80 1.20 0.85 0.80 0.55
time (sec) N/A 0.035 0.015 0.009 0.484 0.430 5.392 1.043 0.248
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 22 16 24 17 19 19
normalized size 1 1.00 1.00 1.05 0.76 1.14 0.81 0.90 0.90
time (sec) N/A 0.026 0.017 0.008 0.544 0.422 0.106 0.858 0.069
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 31 47 58 0 50 -1
normalized size 1 1.00 0.89 0.84 1.27 1.57 0.00 1.35 -0.03
time (sec) N/A 0.041 0.020 0.027 1.369 0.557 0.000 1.049 0.000
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 28 28 40 26 29 27 0 28 23
normalized size 1 1.00 1.43 0.93 1.04 0.96 0.00 1.00 0.82
time (sec) N/A 0.008 0.028 0.004 0.425 0.413 0.000 1.131 0.152
Problem 361 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 19 19 23 17 15 18 17 15 21
normalized size 1 1.00 1.21 0.89 0.79 0.95 0.89 0.79 1.11
time (sec) N/A 0.009 0.002 0.062 0.419 0.436 0.071 1.048 0.035
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 26 25 24 24 22 24 24
normalized size 1 1.00 0.57 0.54 0.52 0.52 0.48 0.52 0.52
time (sec) N/A 0.040 0.007 0.003 0.437 0.407 0.094 0.877 0.027
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 34 33 16 34 17 -1
normalized size 1 1.00 1.00 1.89 1.83 0.89 1.89 0.94 -0.06
time (sec) N/A 0.007 0.003 0.079 0.424 0.415 1.089 1.014 0.000
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 19 21 24 19 19
normalized size 1 1.00 0.81 0.81 0.70 0.78 0.89 0.70 0.70
time (sec) N/A 0.009 0.044 0.014 0.422 0.423 0.317 0.956 0.200
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 22 18 17 16 15 0 16 18
normalized size 1 1.22 1.00 0.94 0.89 0.83 0.00 0.89 1.00
time (sec) N/A 0.030 0.006 0.003 0.422 0.431 0.000 1.039 0.235
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 23 22 21 21 20 21 21
normalized size 1 1.00 0.85 0.81 0.78 0.78 0.74 0.78 0.78
time (sec) N/A 0.016 0.005 0.001 0.417 0.427 0.354 0.958 0.002
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 21 20 20 19 20 31
normalized size 1 1.00 1.00 0.81 0.77 0.77 0.73 0.77 1.19
time (sec) N/A 0.012 0.006 0.006 0.961 0.424 1.388 0.868 0.257
Problem 368 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 15 15 11 14 9 9 15 9 9
normalized size 1 1.00 0.73 0.93 0.60 0.60 1.00 0.60 0.60
time (sec) N/A 0.017 0.016 0.020 0.444 0.437 1.991 0.948 0.274
Problem 369 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 47 47 35 35 34 37 122 29 30
normalized size 1 1.00 0.74 0.74 0.72 0.79 2.60 0.62 0.64
time (sec) N/A 0.010 0.019 0.005 0.958 0.420 2.793 0.997 0.037
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 36 27 9 26 27 9 26
normalized size 1 1.00 3.27 2.45 0.82 2.36 2.45 0.82 2.36
time (sec) N/A 0.002 0.002 0.002 0.418 0.338 0.058 0.873 0.024
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 18 13 13 12 13 14
normalized size 1 1.00 1.00 1.06 0.76 0.76 0.71 0.76 0.82
time (sec) N/A 0.022 0.006 0.008 0.435 0.452 0.068 0.975 0.050
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 27 22 13 20 29 13 13
normalized size 1 1.00 1.59 1.29 0.76 1.18 1.71 0.76 0.76
time (sec) N/A 0.023 0.016 0.001 0.422 0.404 0.076 0.857 0.190
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 18 15 19 17 36 19 14
normalized size 1 1.00 0.67 0.56 0.70 0.63 1.33 0.70 0.52
time (sec) N/A 0.005 0.006 0.002 0.419 0.403 1.023 0.937 0.035
Problem 374 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 24 24 22 18 16 19 24 16 16
normalized size 1 1.00 0.92 0.75 0.67 0.79 1.00 0.67 0.67
time (sec) N/A 0.009 0.002 0.001 0.424 0.422 0.063 0.902 0.032
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 17 20 18 12 16 16
normalized size 1 1.00 1.00 1.42 1.67 1.50 1.00 1.33 1.33
time (sec) N/A 0.006 0.003 0.003 0.445 0.452 0.093 1.027 0.019
Problem 376 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 40 40 25 22 34 26 53 28 25
normalized size 1 1.00 0.62 0.55 0.85 0.65 1.32 0.70 0.62
time (sec) N/A 0.014 0.008 0.004 0.969 0.405 2.025 0.990 0.025

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 [19] had the largest ratio of [1.000]

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 1 1 1.00 3 0.333
2 A 1 1 1.00 3 0.333
3 A 1 1 1.00 3 0.333
4 A 1 1 1.00 3 0.333
5 A 1 1 1.00 2 0.500
6 A 1 1 1.00 2 0.500
7 A 2 2 1.00 4 0.500
8 A 2 2 1.00 4 0.500
9 A 2 2 1.00 5 0.400
10 A 2 2 1.00 5 0.400
11 A 1 1 1.00 2 0.500
12 A 1 1 1.00 2 0.500
13 A 1 1 1.00 2 0.500
14 A 1 1 1.00 2 0.500
15 A 2 2 1.00 4 0.500
16 A 1 1 1.00 2 0.500
17 A 3 2 1.00 7 0.286
18 A 1 1 1.00 6 0.167
19 A 2 2 1.00 2 1.000
20 A 2 2 1.00 7 0.286
21 A 2 2 1.00 4 0.500
22 A 2 2 1.00 6 0.333
23 A 1 1 1.00 4 0.250
24 A 3 2 1.00 8 0.250
25 A 3 2 1.00 8 0.250
26 A 2 2 1.00 4 0.500
27 A 2 2 1.00 2 1.000
28 A 3 3 1.00 6 0.500
29 A 2 2 1.00 6 0.333
30 A 1 1 1.00 6 0.167
31 A 4 2 1.00 7 0.286
32 A 1 1 1.00 10 0.100
33 A 1 1 1.00 10 0.100
34 A 2 2 1.00 4 0.500
35 A 2 2 1.00 6 0.333
36 A 2 2 1.00 7 0.286
37 A 1 1 1.00 8 0.125
38 A 2 2 1.00 6 0.333
39 A 3 2 1.00 9 0.222
40 A 2 2 1.00 2 1.000
41 A 2 2 1.00 6 0.333
42 A 1 1 1.00 9 0.111
43 A 1 1 1.00 9 0.111
44 A 2 2 1.00 6 0.333
45 A 2 2 1.00 9 0.222
46 A 2 2 1.00 9 0.222
47 A 2 2 1.00 5 0.400
48 A 1 1 1.00 3 0.333
49 A 3 3 1.00 7 0.429
50 A 1 1 1.00 6 0.167
51 A 1 1 1.00 3 0.333
52 A 3 3 1.00 6 0.500
53 A 3 3 1.00 8 0.375
54 A 3 2 1.00 9 0.222
55 A 3 3 1.00 4 0.750
56 A 2 2 1.00 6 0.333
57 A 1 1 1.00 8 0.125
58 A 2 2 1.00 6 0.333
59 A 2 2 1.00 4 0.500
60 A 3 2 1.00 4 0.500
61 A 2 1 1.00 4 0.250
62 A 3 2 1.00 9 0.222
63 A 3 2 1.00 9 0.222
64 A 4 3 1.00 9 0.333
65 A 3 3 1.00 9 0.333
66 A 1 1 1.00 10 0.100
67 A 3 2 1.00 11 0.182
68 A 4 3 1.00 9 0.333
69 A 4 2 1.00 4 0.500
70 A 4 2 1.00 4 0.500
71 A 4 3 1.00 13 0.231
72 A 2 1 1.00 4 0.250
73 A 5 3 1.00 9 0.333
74 A 3 2 1.00 11 0.182
75 A 3 2 1.00 11 0.182
76 A 3 3 1.00 14 0.214
77 A 3 2 1.00 8 0.250
78 A 3 2 1.00 7 0.286
79 A 4 3 1.00 9 0.333
80 A 2 2 1.00 9 0.222
81 A 1 1 1.00 8 0.125
82 A 2 2 1.00 4 0.500
83 A 3 2 1.00 4 0.500
84 A 2 1 1.00 4 0.250
85 A 2 1 1.00 4 0.250
86 A 2 2 1.00 9 0.222
87 A 3 2 1.00 9 0.222
88 A 2 2 1.00 7 0.286
89 A 3 2 1.00 9 0.222
90 A 3 2 1.00 4 0.500
91 A 4 2 1.00 4 0.500
92 A 3 2 1.00 7 0.286
93 A 3 2 1.00 9 0.222
94 A 2 2 1.00 7 0.286
95 A 3 2 1.00 9 0.222
96 A 2 2 1.00 7 0.286
97 A 2 2 1.00 7 0.286
98 A 2 2 1.00 4 0.500
99 A 2 2 1.00 4 0.500
100 A 3 2 1.00 9 0.222
101 A 3 2 1.00 9 0.222
102 A 1 1 1.00 2 0.500
103 A 2 2 1.00 4 0.500
104 A 3 3 1.00 5 0.600
105 A 2 1 1.00 4 0.250
106 A 1 1 1.00 9 0.111
107 A 1 1 1.00 7 0.143
108 A 1 1 1.00 9 0.111
109 A 1 1 1.00 9 0.111
110 A 2 2 1.00 7 0.286
111 A 5 2 1.00 11 0.182
112 A 2 2 1.00 13 0.154
113 A 6 4 1.00 10 0.400
114 A 3 2 1.00 7 0.286
115 A 4 3 1.00 9 0.333
116 A 2 2 1.00 7 0.286
117 A 3 2 1.00 9 0.222
118 A 2 2 1.00 15 0.133
119 A 1 1 1.00 13 0.077
120 A 1 1 1.00 11 0.091
121 A 2 2 1.00 13 0.154
122 A 3 2 1.00 15 0.133
123 A 3 3 1.00 16 0.188
124 A 1 1 1.00 15 0.067
125 A 3 2 1.00 15 0.133
126 A 1 1 1.00 13 0.077
127 A 1 1 1.00 13 0.077
128 A 2 2 1.00 11 0.182
129 A 3 2 1.00 13 0.154
130 A 1 1 1.00 9 0.111
131 A 2 2 1.00 9 0.222
132 A 4 4 1.00 13 0.308
133 A 1 1 1.00 17 0.059
134 A 4 4 1.00 15 0.267
135 A 1 1 1.00 15 0.067
136 A 3 3 1.00 17 0.176
137 A 2 2 1.00 15 0.133
138 A 3 3 1.00 13 0.231
139 A 1 1 1.00 11 0.091
140 A 3 2 1.00 15 0.133
141 A 3 3 1.00 15 0.200
142 A 2 2 1.00 12 0.167
143 A 1 1 1.00 11 0.091
144 A 3 3 1.00 13 0.231
145 A 2 2 1.00 12 0.167
146 A 2 2 1.00 14 0.143
147 A 4 4 1.00 17 0.235
148 A 3 3 1.00 10 0.300
149 A 2 2 1.00 14 0.143
150 A 3 3 1.00 17 0.176
151 A 4 4 1.00 11 0.364
152 A 2 2 1.00 11 0.182
153 A 3 2 1.00 12 0.167
154 A 3 2 1.00 11 0.182
155 A 3 2 1.00 25 0.080
156 A 2 1 1.00 29 0.034
157 A 6 5 1.00 20 0.250
158 A 6 5 1.00 23 0.217
159 A 14 10 1.00 32 0.312
160 A 6 5 1.00 26 0.192
161 A 2 2 1.00 7 0.286
162 A 3 2 1.00 11 0.182
163 A 4 3 1.00 14 0.214
164 A 2 1 1.00 23 0.043
165 A 3 2 1.00 22 0.091
166 A 3 2 1.00 11 0.182
167 A 4 3 1.00 26 0.115
168 A 3 2 1.00 16 0.125
169 A 8 4 1.00 25 0.160
170 A 6 3 1.00 23 0.130
171 A 6 5 1.00 26 0.192
172 A 3 2 1.00 11 0.182
173 A 8 7 1.00 20 0.350
174 A 7 6 1.00 23 0.261
175 A 8 8 1.00 11 0.727
176 A 2 1 1.00 9 0.111
177 A 2 1 1.00 7 0.143
178 A 2 1 1.00 16 0.062
179 A 3 2 1.00 11 0.182
180 A 2 1 1.00 13 0.077
181 A 3 2 1.00 11 0.182
182 A 3 2 1.00 15 0.133
183 A 5 3 1.00 20 0.150
184 A 2 1 1.00 11 0.091
185 A 2 1 1.00 16 0.062
186 A 3 2 1.00 25 0.080
187 A 3 2 1.00 12 0.167
188 A 2 1 1.00 11 0.091
189 A 2 1 1.00 14 0.071
190 A 3 2 1.00 22 0.091
191 A 2 1 1.00 24 0.042
192 A 1 1 1.00 20 0.050
193 A 2 1 1.00 9 0.111
194 A 2 1 1.00 9 0.111
195 A 3 3 1.00 11 0.273
196 A 1 1 1.00 22 0.045
197 A 3 2 1.00 11 0.182
198 A 4 4 1.00 14 0.286
199 A 4 4 1.00 10 0.400
200 A 6 5 1.00 23 0.217
201 A 5 4 1.00 23 0.174
202 A 6 5 1.00 15 0.333
203 A 6 6 1.00 7 0.857
204 A 7 7 1.00 11 0.636
205 A 5 4 1.00 21 0.190
206 A 4 4 1.00 11 0.364
207 A 6 4 1.00 30 0.133
208 A 7 6 1.00 24 0.250
209 A 3 3 1.00 14 0.214
210 A 3 2 1.00 16 0.125
211 A 2 2 1.00 21 0.095
212 A 3 3 1.00 15 0.200
213 A 3 2 1.00 10 0.200
214 A 1 1 1.00 9 0.111
215 A 3 2 1.00 18 0.111
216 A 3 2 1.00 10 0.200
217 A 6 5 1.00 43 0.116
218 A 7 5 1.00 50 0.100
219 A 3 3 1.00 11 0.273
220 A 9 9 1.00 15 0.600
221 A 2 2 1.00 11 0.182
222 A 3 2 1.00 9 0.222
223 A 3 2 1.00 9 0.222
224 A 3 3 1.00 11 0.273
225 A 2 2 1.00 11 0.182
226 A 2 2 1.00 11 0.182
227 A 4 2 1.00 13 0.154
228 A 2 1 1.00 11 0.091
229 A 3 3 1.00 13 0.231
230 A 3 2 1.00 11 0.182
231 A 3 3 1.00 13 0.231
232 A 3 2 1.00 17 0.118
233 A 4 3 1.00 17 0.176
234 A 3 2 1.00 13 0.154
235 A 10 9 1.00 21 0.429
236 A 9 9 1.00 13 0.692
237 A 4 3 1.00 13 0.231
238 A 5 5 1.00 13 0.385
239 A 2 2 1.00 12 0.167
240 A 4 3 1.00 20 0.150
241 A 3 3 1.00 9 0.333
242 A 4 4 1.00 11 0.364
243 A 4 3 1.00 8 0.375
244 A 2 2 1.00 7 0.286
245 A 2 2 1.00 10 0.200
246 A 2 2 1.00 11 0.182
247 A 6 6 1.00 7 0.857
248 A 4 2 1.00 11 0.182
249 A 4 3 1.00 9 0.333
250 A 2 2 1.00 11 0.182
251 A 2 1 1.00 19 0.053
252 A 1 1 1.00 9 0.111
253 A 2 1 1.00 13 0.077
254 A 1 1 1.00 8 0.125
255 A 2 2 1.00 7 0.286
256 A 3 2 1.00 9 0.222
257 A 3 3 1.00 7 0.429
258 A 3 2 1.00 20 0.100
259 A 2 2 1.00 10 0.200
260 A 2 1 1.00 11 0.091
261 A 2 2 1.00 7 0.286
262 A 3 3 1.00 9 0.333
263 A 1 1 1.00 15 0.067
264 A 1 1 1.00 13 0.077
265 A 1 1 1.00 6 0.167
266 A 3 3 1.00 13 0.231
267 A 2 1 1.00 7 0.143
268 A 3 3 1.00 6 0.500
269 A 4 4 1.00 16 0.250
270 A 3 2 1.00 9 0.222
271 A 3 2 1.00 9 0.222
272 A 4 4 1.00 12 0.333
273 A 3 3 1.00 4 0.750
274 A 4 4 1.00 15 0.267
275 A 3 2 1.00 12 0.167
276 A 3 2 1.00 6 0.333
277 A 1 1 1.00 21 0.048
278 A 2 2 1.00 11 0.182
279 A 3 3 1.00 6 0.500
280 A 1 1 1.00 4 0.250
281 A 3 2 1.00 13 0.154
282 A 1 1 1.00 10 0.100
283 A 1 1 1.00 9 0.111
284 A 5 4 1.00 11 0.364
285 A 3 2 1.00 8 0.250
286 A 2 2 1.00 11 0.182
287 A 2 2 1.00 6 0.333
288 A 2 2 1.00 14 0.143
289 A 4 3 1.00 6 0.500
290 A 2 1 1.00 15 0.067
291 A 2 2 1.00 13 0.154
292 A 3 3 1.00 14 0.214
293 A 2 2 1.00 9 0.222
294 A 4 3 1.00 9 0.333
295 A 2 2 1.00 14 0.143
296 A 3 2 1.00 22 0.091
297 A 2 2 1.00 7 0.286
298 A 2 2 1.00 13 0.154
299 A 6 6 1.00 7 0.857
300 A 6 2 1.00 6 0.333
301 A 1 3 1.00 8 0.375
302 A 1 0 1.00 10 0.000
303 A 3 2 1.00 15 0.133
304 A 4 3 1.00 16 0.188
305 A 4 3 1.00 8 0.375
306 A 2 1 1.00 9 0.111
307 A 4 3 1.00 7 0.429
308 A 5 4 1.00 12 0.333
309 A 3 2 1.00 17 0.118
310 A 8 4 1.00 13 0.308
311 A 2 2 1.00 6 0.333
312 A 1 1 1.00 11 0.091
313 A 2 1 1.00 9 0.111
314 A 3 2 1.00 13 0.154
315 A 6 5 1.00 6 0.833
316 A 1 1 1.00 12 0.083
317 A 4 4 1.00 11 0.364
318 A 4 2 1.00 9 0.222
319 A 7 4 1.00 15 0.267
320 A 5 2 1.00 11 0.182
321 A 1 1 1.00 6 0.167
322 A 3 3 1.00 15 0.200
323 A 5 5 1.00 13 0.385
324 A 3 3 1.00 13 0.231
325 A 3 3 1.00 12 0.250
326 A 2 2 1.00 11 0.182
327 A 4 4 1.00 12 0.333
328 A 2 2 1.00 6 0.333
329 A 2 2 1.00 13 0.154
330 A 3 3 1.00 15 0.200
331 A 4 3 1.00 16 0.188
332 A 2 2 1.00 12 0.167
333 A 4 4 1.00 8 0.500
334 A 3 3 1.00 13 0.231
335 A 4 4 1.00 17 0.235
336 A 2 2 1.00 13 0.154
337 A 5 4 1.00 17 0.235
338 A 2 2 1.00 15 0.133
339 A 4 2 1.00 6 0.333
340 A 4 4 1.00 14 0.286
341 A 1 1 1.00 9 0.111
342 A 3 2 1.00 9 0.222
343 A 1 1 1.00 10 0.100
344 A 2 2 1.00 8 0.250
345 A 3 3 1.00 15 0.200
346 A 4 4 1.00 15 0.267
347 A 3 2 1.00 9 0.222
348 A 3 2 1.00 13 0.154
349 A 3 3 1.00 6 0.500
350 A 5 5 1.00 8 0.625
351 A 2 2 1.00 8 0.250
352 A 3 2 1.00 8 0.250
353 A 3 3 1.00 14 0.214
354 A 3 2 1.00 15 0.133
355 A 3 2 1.00 4 0.500
356 A 4 2 1.00 6 0.333
357 A 4 4 1.00 10 0.400
358 A 3 2 1.00 15 0.133
359 A 4 4 1.00 13 0.308
360 A 3 3 1.00 13 0.231
361 A 2 1 1.00 4 0.250
362 A 5 2 1.00 9 0.222
363 A 3 3 1.00 13 0.231
364 A 1 1 1.00 10 0.100
365 A 4 4 1.22 10 0.400
366 A 4 3 1.00 6 0.500
367 A 4 4 1.00 11 0.364
368 A 4 3 1.00 9 0.333
369 A 3 3 1.00 15 0.200
370 A 1 1 1.00 11 0.091
371 A 3 2 1.00 9 0.222
372 A 3 2 1.00 9 0.222
373 A 2 1 1.00 11 0.091
374 A 3 2 1.00 4 0.500
375 A 2 2 1.00 4 0.500
376 A 3 2 1.00 13 0.154

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