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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, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413 }

B grade: { }

C grade: { }

F grade: { 174 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 22, 24, 34, 35, 36, 37, 41, 42, 43, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 94, 95, 96, 97, 104, 105, 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, 170, 175, 176, 177, 178, 179, 182, 183, 184, 185, 189, 190, 191, 192, 193, 194, 195, 196, 197, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 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, 399, 400, 401, 402, 403, 404, 405 }

B grade: { 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 65, 80, 88 }

C grade: { 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 44, 45, 46, 48, 49, 73, 92, 93, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 172, 173, 198, 199, 200, 201, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 241, 242, 243, 286, 287, 288, 289, 290, 291, 292, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 406, 407, 408, 409, 410, 411, 412, 413 }

F grade: { 174, 180, 181, 186, 187, 188, 238, 239, 240, 293, 294, 295, 307, 308, 309, 310, 311, 324, 325, 326, 327, 339, 340, 341, 342, 343, 344, 356, 357, 358, 359, 372, 373, 374, 375 }

2.1.3 Maple

A grade: { 1, 2, 7, 8, 13, 17, 26, 27, 28, 29, 30, 31, 32, 33, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 72, 73, 75, 76, 77, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 98, 99, 102, 103, 106, 107, 108, 109, 110, 111, 112, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 158, 159, 160, 164, 165, 175, 182, 183, 184, 185, 189, 190, 191, 192, 193, 194, 199, 200, 201, 205, 206, 207, 211, 212, 213, 215, 216, 217, 218, 219, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 260, 261, 262, 267, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 316, 323, 324, 325, 331, 338, 347, 382, 383, 384, 386, 387, 388, 390, 391, 392, 393, 399, 404, 405, 407, 412, 413 }

B grade: { 3, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 23, 25, 34, 35, 36, 39, 40, 41, 53, 54, 55, 67, 68, 69, 70, 71, 74, 78, 79, 80, 81, 82, 83, 91, 96, 97, 100, 101, 104, 105, 113, 114, 115, 116, 117, 118, 137, 144, 157, 161, 162, 163, 166, 167, 170, 172, 195, 196, 197, 198, 202, 203, 204, 208, 209, 210, 214, 220, 221, 222, 223, 224, 256, 257, 258, 259, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274, 275, 317, 318, 319, 320, 321, 322, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344, 345, 346, 380, 381, 385, 389 }

C grade: { 18, 19, 20, 21, 22, 24, 150, 151, 152, 153, 154, 155, 156, 168, 169, 171, 173, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 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, 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, 377, 378, 379, 394, 395, 396, 397, 398, 406, 408, 409, 410, 411 }

F grade: { 174, 176, 177, 178, 179, 180, 181, 186, 187, 188, 400, 401, 402, 403 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 37, 42, 43, 44, 47, 51, 52, 56, 57, 58, 61, 66, 72, 73, 74, 76, 77, 84, 85, 86, 89, 92, 93, 94, 96, 98, 99, 108, 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, 175, 189, 190, 191, 192, 193, 194, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 276, 277, 278, 279, 280, 281, 284, 285, 399, 404, 405 }

B grade: { 7, 65, 88, 95, 282, 283 }

C grade: { }

F grade: { 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 45, 46, 48, 49, 50, 53, 54, 55, 59, 60, 62, 63, 64, 67, 68, 69, 70, 71, 75, 78, 79, 80, 81, 82, 83, 87, 90, 91, 97, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 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, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 413 }

2.1.5 FriCAS

A grade: { 5, 6, 8, 9, 10, 11, 12, 13, 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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 98, 99, 108, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 141, 147, 175, 189, 190, 191, 192, 193, 195, 196, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 215, 216, 217, 218, 220, 221, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 261, 262, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 399, 404, 405 }

B grade: { 1, 2, 3, 4, 7, 65, 88, 94, 95, 96, 97, 100, 101, 104, 105, 106, 107, 109, 110, 111, 112, 137, 138, 139, 140, 142, 143, 144, 145, 146, 148, 194, 197, 198, 211, 212, 213, 214, 219, 222, 223, 224, 258, 259, 260, 264, 265, 266, 267, 270, 271, 272, 273, 408, 409, 410, 411 }

C grade: { 102, 103 }

F grade: { 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 263, 268, 269, 274, 275, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 412, 413 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 16, 17, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 97, 100, 101, 106, 109, 120, 121, 122, 123, 127, 128, 129, 130, 131, 134, 135, 136, 137, 138, 139, 140, 141, 144, 145, 146, 147, 157, 158, 159, 164, 166, 189, 190, 191, 244, 245, 246, 247, 250, 251, 252, 253, 254, 255, 258, 259, 266, 267, 273, 279, 280 }

B grade: { 7, 14, 15, 23, 25, 38, 42, 65, 88, 95, 96, 104, 105, 124, 125, 126, 132, 133, 167, 192, 193, 194, 214, 215, 216, 217, 248, 249, 256, 257, 261, 262, 276, 277, 278, 281, 282, 283 }

C grade: { 18, 19, 20, 21, 98, 99, 108, 150, 151, 152, 153, 168, 176, 177, 178, 179, 182, 183, 184, 185 }

F grade: { 22, 24, 102, 103, 107, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 142, 143, 148, 149, 154, 155, 156, 160, 161, 162, 163, 165, 169, 170, 171, 172, 173, 174, 175, 180, 181, 186, 187, 188, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 260, 263, 264, 265, 268, 269, 270, 271, 272, 274, 275, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413 }

2.1.7 Giac

A grade: { 1, 2, 5, 6, 8, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 97, 98, 99, 102, 103, 108, 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, 175, 195, 197, 220, 221, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 399, 404, 405 }

B grade: { 3, 4, 7, 11, 12, 13, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 47, 50, 53, 65, 88, 95, 96, 100, 101, 104, 105, 189, 190, 191, 192, 196, 214, 215, 216, 217, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273 }

C grade: { }

F grade: { 9, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 68, 80, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 193, 194, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 218, 219, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 274, 275, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 413 }

2.1.8 Mupad

A grade: { 175, 399, 404, 405 }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 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, 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, 179, 185, 189, 190, 191, 192, 193, 194, 214, 215, 216, 217, 218, 219, 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, 282, 283, 284, 285 }

C grade: { }

F grade: { 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 180, 181, 182, 183, 184, 186, 187, 188, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 276, 277, 278, 279, 280, 281, 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, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 413 }

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 B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 183 260 221 767 109 241 599
normalized size 1 1.00 0.74 1.05 0.89 3.11 0.44 0.98 2.43
time (sec) N/A 0.151 0.078 0.009 2.395 0.659 0.691 0.188 0.377
Problem 2 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 247 247 184 260 221 767 110 241 603
normalized size 1 1.00 0.74 1.05 0.89 3.11 0.45 0.98 2.44
time (sec) N/A 0.138 0.045 0.003 2.342 0.940 0.680 0.172 0.257
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 95 122 109 755 110 230 579
normalized size 1 1.00 1.10 1.42 1.27 8.78 1.28 2.67 6.73
time (sec) N/A 0.045 0.030 0.005 2.288 0.624 0.726 0.182 4.643
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 95 122 109 755 110 228 579
normalized size 1 1.00 1.10 1.42 1.27 8.78 1.28 2.65 6.73
time (sec) N/A 0.040 0.023 0.003 2.339 0.768 0.943 0.325 4.578
Problem 5 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 40 40 33 122 39 33 41 52 29
normalized size 1 1.00 0.82 3.05 0.98 0.82 1.02 1.30 0.72
time (sec) N/A 0.020 0.014 0.006 2.388 0.516 0.124 0.201 0.090
Problem 6 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 51 51 44 82 39 42 49 40 21
normalized size 1 1.00 0.86 1.61 0.76 0.82 0.96 0.78 0.41
time (sec) N/A 0.021 0.014 0.003 2.417 0.693 0.125 0.170 4.433
Problem 7 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 16 16 32 13 25 29 32 29 12
normalized size 1 1.00 2.00 0.81 1.56 1.81 2.00 1.81 0.75
time (sec) N/A 0.003 0.015 0.002 2.393 0.670 0.115 0.159 0.092
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 15 12 12
normalized size 1 1.00 1.00 0.81 0.75 0.75 0.94 0.75 0.75
time (sec) N/A 0.003 0.005 0.003 2.310 0.663 0.113 0.159 0.027
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 60 254 100 148 138 0 57
normalized size 1 1.00 0.80 3.39 1.33 1.97 1.84 0.00 0.76
time (sec) N/A 0.037 0.021 0.005 2.305 0.639 0.394 0.000 4.793
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 91 254 70 151 131 0 43
normalized size 1 1.00 0.86 2.40 0.66 1.42 1.24 0.00 0.41
time (sec) N/A 0.047 0.022 0.004 2.369 0.464 0.457 0.000 4.757
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 60 290 74 137 87 222 57
normalized size 1 1.00 0.80 3.87 0.99 1.83 1.16 2.96 0.76
time (sec) N/A 0.050 0.035 0.010 2.476 0.409 0.223 0.171 4.406
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 75 290 62 140 80 222 41
normalized size 1 1.00 0.83 3.22 0.69 1.56 0.89 2.47 0.46
time (sec) N/A 0.047 0.023 0.004 2.412 0.409 0.234 0.224 0.086
Problem 13 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 13 13 25 18 17 17 22 19 9
normalized size 1 1.00 1.92 1.38 1.31 1.31 1.69 1.46 0.69
time (sec) N/A 0.006 0.006 0.006 2.350 0.405 0.197 0.159 0.040
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 45 100 0 0 70 0 -1
normalized size 1 1.00 2.81 6.25 0.00 0.00 4.38 0.00 -0.06
time (sec) N/A 0.016 0.012 0.017 0.000 0.418 2.552 0.000 0.000
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 45 99 0 0 70 0 -1
normalized size 1 1.00 1.29 2.83 0.00 0.00 2.00 0.00 -0.03
time (sec) N/A 0.033 0.012 0.007 0.000 0.438 2.927 0.000 0.000
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 74 107 0 0 61 0 -1
normalized size 1 1.00 1.72 2.49 0.00 0.00 1.42 0.00 -0.02
time (sec) N/A 0.025 0.023 0.013 0.000 0.418 2.317 0.000 0.000
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 74 108 0 0 60 0 -1
normalized size 1 1.00 0.83 1.21 0.00 0.00 0.67 0.00 -0.01
time (sec) N/A 0.046 0.020 0.006 0.000 0.419 2.190 0.000 0.000
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 47 120 0 0 66 0 -1
normalized size 1 1.00 0.53 1.35 0.00 0.00 0.74 0.00 -0.01
time (sec) N/A 0.014 0.012 0.013 0.000 0.412 2.200 0.000 0.000
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 47 120 0 0 66 0 -1
normalized size 1 1.00 0.31 0.79 0.00 0.00 0.43 0.00 -0.01
time (sec) N/A 0.031 0.010 0.004 0.000 0.453 2.603 0.000 0.000
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 76 122 0 0 70 0 -1
normalized size 1 1.00 0.84 1.36 0.00 0.00 0.78 0.00 -0.01
time (sec) N/A 0.015 0.027 0.012 0.000 0.445 2.098 0.000 0.000
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 76 122 0 0 71 0 -1
normalized size 1 1.00 0.49 0.78 0.00 0.00 0.46 0.00 -0.01
time (sec) N/A 0.032 0.018 0.004 0.000 0.418 2.057 0.000 0.000
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 15 0 0 0 0 -1
normalized size 1 1.00 1.00 1.50 0.00 0.00 0.00 0.00 -0.10
time (sec) N/A 0.009 0.006 0.031 0.000 0.434 0.000 0.000 0.000
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 47 118 0 0 71 0 -1
normalized size 1 1.00 4.70 11.80 0.00 0.00 7.10 0.00 -0.10
time (sec) N/A 0.016 0.012 0.014 0.000 0.424 2.048 0.000 0.000
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 24 28 0 0 0 0 -1
normalized size 1 1.00 1.04 1.22 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.026 0.008 0.015 0.000 0.418 0.000 0.000 0.000
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 47 117 0 0 71 0 -1
normalized size 1 1.00 2.04 5.09 0.00 0.00 3.09 0.00 -0.04
time (sec) N/A 0.033 0.012 0.008 0.000 0.448 2.031 0.000 0.000
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 181 71 0 162 122 1642 94
normalized size 1 1.00 2.21 0.87 0.00 1.98 1.49 20.02 1.15
time (sec) N/A 0.100 0.110 0.039 0.000 0.430 0.538 1.119 4.433
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 181 71 0 162 122 1642 98
normalized size 1 1.00 2.21 0.87 0.00 1.98 1.49 20.02 1.20
time (sec) N/A 0.110 0.111 0.037 0.000 0.419 0.561 1.087 4.515
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 189 75 0 176 110 1676 30
normalized size 1 1.00 2.42 0.96 0.00 2.26 1.41 21.49 0.38
time (sec) N/A 0.098 0.105 0.034 0.000 0.415 0.572 1.122 0.128
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 189 75 0 179 121 1676 88
normalized size 1 1.00 2.20 0.87 0.00 2.08 1.41 19.49 1.02
time (sec) N/A 0.104 0.107 0.032 0.000 0.425 0.550 1.139 4.394
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 182 88 0 172 121 1642 99
normalized size 1 1.00 2.33 1.13 0.00 2.21 1.55 21.05 1.27
time (sec) N/A 0.052 0.121 0.023 0.000 0.399 0.583 1.163 0.087
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 182 69 0 173 110 1642 57
normalized size 1 1.00 2.33 0.88 0.00 2.22 1.41 21.05 0.73
time (sec) N/A 0.048 0.125 0.025 0.000 0.417 0.568 1.254 4.436
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 190 61 0 168 112 1676 29
normalized size 1 1.00 2.71 0.87 0.00 2.40 1.60 23.94 0.41
time (sec) N/A 0.044 0.130 0.023 0.000 0.424 0.598 1.127 4.442
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 190 61 0 168 112 1676 29
normalized size 1 1.00 2.71 0.87 0.00 2.40 1.60 23.94 0.41
time (sec) N/A 0.047 0.128 0.024 0.000 0.444 0.609 1.081 0.110
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 250 582 0 244 158 2202 129
normalized size 1 1.00 1.87 4.34 0.00 1.82 1.18 16.43 0.96
time (sec) N/A 0.101 0.161 0.081 0.000 0.420 0.862 1.372 0.181
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 248 582 0 232 160 2202 232
normalized size 1 1.00 1.91 4.48 0.00 1.78 1.23 16.94 1.78
time (sec) N/A 0.166 0.120 0.027 0.000 0.427 0.772 1.402 4.522
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 248 582 0 232 160 2202 232
normalized size 1 1.00 1.91 4.48 0.00 1.78 1.23 16.94 1.78
time (sec) N/A 0.131 0.044 0.013 0.000 0.421 0.794 1.350 0.129
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 29 29 29 26 25 25 26 25 12
normalized size 1 1.00 1.00 0.90 0.86 0.86 0.90 0.86 0.41
time (sec) N/A 0.026 0.019 0.012 1.043 0.399 0.470 0.245 4.410
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 138 52 0 164 117 51 55
normalized size 1 1.00 2.30 0.87 0.00 2.73 1.95 0.85 0.92
time (sec) N/A 0.069 0.202 0.007 0.000 0.456 0.464 0.176 0.075
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 126 277 0 110 95 77 66
normalized size 1 1.00 2.03 4.47 0.00 1.77 1.53 1.24 1.06
time (sec) N/A 0.058 0.060 0.045 0.000 0.419 0.378 0.308 4.385
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 134 277 0 120 83 80 24
normalized size 1 1.00 2.03 4.20 0.00 1.82 1.26 1.21 0.36
time (sec) N/A 0.058 0.059 0.032 0.000 0.427 0.385 0.312 4.407
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 83 136 0 31 42 39 29
normalized size 1 1.00 1.84 3.02 0.00 0.69 0.93 0.87 0.64
time (sec) N/A 0.059 0.077 0.052 0.000 0.399 0.147 0.170 0.087
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 15 15 17 12 11 19 22 11 19
normalized size 1 1.00 1.13 0.80 0.73 1.27 1.47 0.73 1.27
time (sec) N/A 0.009 0.007 0.009 2.495 0.393 0.122 0.151 0.066
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 14 14 14 12 11 11 14 11 11
normalized size 1 1.00 1.00 0.86 0.79 0.79 1.00 0.79 0.79
time (sec) N/A 0.007 0.005 0.002 2.299 0.402 0.118 0.162 0.026
Problem 44 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 38 38 97 34 33 33 44 33 29
normalized size 1 1.00 2.55 0.89 0.87 0.87 1.16 0.87 0.76
time (sec) N/A 0.035 0.184 0.008 2.392 0.402 0.135 0.174 0.086
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 99 40 0 29 42 45 29
normalized size 1 1.00 2.06 0.83 0.00 0.60 0.88 0.94 0.60
time (sec) N/A 0.040 0.104 0.033 0.000 0.389 0.129 0.190 4.391
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 97 40 0 33 44 52 29
normalized size 1 1.00 2.11 0.87 0.00 0.72 0.96 1.13 0.63
time (sec) N/A 0.043 0.224 0.032 0.000 0.408 0.131 0.257 4.355
Problem 47 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 21 21 17 18 17 15 14 46 15
normalized size 1 1.00 0.81 0.86 0.81 0.71 0.67 2.19 0.71
time (sec) N/A 0.013 0.006 0.006 2.240 0.421 0.113 0.158 4.288
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 101 40 0 31 42 52 29
normalized size 1 1.00 2.20 0.87 0.00 0.67 0.91 1.13 0.63
time (sec) N/A 0.041 0.275 0.033 0.000 0.384 0.144 0.242 4.372
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 99 40 0 26 29 46 21
normalized size 1 1.00 2.25 0.91 0.00 0.59 0.66 1.05 0.48
time (sec) N/A 0.034 0.101 0.036 0.000 0.400 0.135 0.175 0.057
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 14 20 0 15 12 42 15
normalized size 1 1.00 0.61 0.87 0.00 0.65 0.52 1.83 0.65
time (sec) N/A 0.026 0.007 0.035 0.000 0.381 0.115 0.193 4.347
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 11 11 12 11 12 12 8 12 12
normalized size 1 1.00 1.09 1.00 1.09 1.09 0.73 1.09 1.09
time (sec) N/A 0.005 0.005 0.006 0.929 0.405 0.091 0.158 4.298
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 39 39 29 30 29 25 26 33 14
normalized size 1 1.00 0.74 0.77 0.74 0.64 0.67 0.85 0.36
time (sec) N/A 0.018 0.006 0.009 1.045 0.386 0.126 0.171 0.297
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 42 82 0 47 46 77 20
normalized size 1 1.00 0.95 1.86 0.00 1.07 1.05 1.75 0.45
time (sec) N/A 0.035 0.015 0.043 0.000 0.385 0.123 0.340 0.224
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 127 279 0 109 94 73 63
normalized size 1 1.00 1.92 4.23 0.00 1.65 1.42 1.11 0.95
time (sec) N/A 0.029 0.073 0.019 0.000 0.398 0.378 0.314 0.068
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 84 136 0 28 39 39 30
normalized size 1 1.00 1.83 2.96 0.00 0.61 0.85 0.85 0.65
time (sec) N/A 0.031 0.073 0.017 0.000 0.387 0.132 0.176 4.380
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 9 9 12 10 9 17 14 9 17
normalized size 1 1.00 1.33 1.11 1.00 1.89 1.56 1.00 1.89
time (sec) N/A 0.009 0.007 0.007 2.356 0.409 0.118 0.174 4.363
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 11 11 11 11 11 11 7 11 11
normalized size 1 1.00 1.00 1.00 1.00 1.00 0.64 1.00 1.00
time (sec) N/A 0.005 0.004 0.008 1.079 0.381 0.090 0.157 4.299
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 29 29 29 26 25 25 26 25 12
normalized size 1 1.00 1.00 0.90 0.86 0.86 0.90 0.86 0.41
time (sec) N/A 0.016 0.006 0.004 1.002 0.390 0.114 0.154 0.063
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 45 46 34 20
normalized size 1 1.00 0.84 0.78 0.00 0.90 0.92 0.68 0.40
time (sec) N/A 0.023 0.014 0.010 0.000 0.395 0.114 0.172 4.369
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 43 46 41 20
normalized size 1 1.00 0.84 0.78 0.00 0.86 0.92 0.82 0.40
time (sec) N/A 0.023 0.015 0.011 0.000 0.394 0.120 0.262 0.074
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 31 31 31 28 27 27 22 34 15
normalized size 1 1.00 1.00 0.90 0.87 0.87 0.71 1.10 0.48
time (sec) N/A 0.015 0.005 0.004 1.061 0.396 0.112 0.157 0.068
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 45 46 41 20
normalized size 1 1.00 0.84 0.78 0.00 0.90 0.92 0.82 0.40
time (sec) N/A 0.023 0.014 0.011 0.000 0.401 0.116 0.242 4.350
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 45 46 40 20
normalized size 1 1.00 0.84 0.78 0.00 0.90 0.92 0.80 0.40
time (sec) N/A 0.024 0.020 0.010 0.000 0.394 0.119 0.178 0.068
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 45 46 41 20
normalized size 1 1.00 0.84 0.78 0.00 0.90 0.92 0.82 0.40
time (sec) N/A 0.022 0.016 0.010 0.000 0.417 0.130 0.206 4.390
Problem 65 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 14 14 32 12 25 29 32 29 11
normalized size 1 1.00 2.29 0.86 1.79 2.07 2.29 2.07 0.79
time (sec) N/A 0.006 0.009 0.002 2.355 0.403 0.107 0.158 4.328
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 39 39 31 30 29 27 29 33 15
normalized size 1 1.00 0.79 0.77 0.74 0.69 0.74 0.85 0.38
time (sec) N/A 0.017 0.006 0.009 0.957 0.399 0.122 0.153 0.101
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 42 82 0 45 46 77 20
normalized size 1 1.00 0.88 1.71 0.00 0.94 0.96 1.60 0.42
time (sec) N/A 0.039 0.019 0.017 0.000 0.420 0.118 0.322 0.127
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 124 277 0 101 88 0 73
normalized size 1 1.00 2.00 4.47 0.00 1.63 1.42 0.00 1.18
time (sec) N/A 0.056 0.058 0.043 0.000 0.412 0.376 0.000 0.065
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 83 136 0 31 41 26 29
normalized size 1 1.00 1.69 2.78 0.00 0.63 0.84 0.53 0.59
time (sec) N/A 0.088 0.139 0.050 0.000 0.419 0.124 0.177 0.083
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 81 110 0 31 41 26 29
normalized size 1 1.00 1.88 2.56 0.00 0.72 0.95 0.60 0.67
time (sec) N/A 0.050 0.070 0.048 0.000 0.396 0.141 0.186 0.085
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 83 104 0 31 41 26 29
normalized size 1 1.00 1.69 2.12 0.00 0.63 0.84 0.53 0.59
time (sec) N/A 0.062 0.104 0.043 0.000 0.398 0.127 0.163 4.391
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 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 0.003 0.002 2.419 0.395 0.100 0.155 4.332
Problem 73 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 38 38 99 34 33 31 41 26 29
normalized size 1 1.00 2.61 0.89 0.87 0.82 1.08 0.68 0.76
time (sec) N/A 0.027 0.195 0.006 2.403 0.417 0.123 0.162 0.077
Problem 74 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 35 35 30 88 39 29 39 39 29
normalized size 1 1.00 0.86 2.51 1.11 0.83 1.11 1.11 0.83
time (sec) N/A 0.018 0.015 0.004 2.418 0.404 0.123 0.192 4.368
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 12 20 0 7 7 30 7
normalized size 1 1.00 0.52 0.87 0.00 0.30 0.30 1.30 0.30
time (sec) N/A 0.020 0.007 0.019 0.000 0.451 0.110 0.168 4.315
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 10 16 10 10 7 11 10
normalized size 1 1.00 0.91 1.45 0.91 0.91 0.64 1.00 0.91
time (sec) N/A 0.003 0.004 0.005 1.063 0.603 0.087 0.152 4.341
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 65 65 29 22 21 21 19 43 12
normalized size 1 1.00 0.45 0.34 0.32 0.32 0.29 0.66 0.18
time (sec) N/A 0.032 0.006 0.006 0.992 0.713 0.113 0.165 0.256
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 40 70 0 36 39 39 18
normalized size 1 1.00 0.93 1.63 0.00 0.84 0.91 0.91 0.42
time (sec) N/A 0.033 0.014 0.040 0.000 0.619 0.114 0.215 4.395
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 82 0 39 39 39 18
normalized size 1 1.00 0.87 1.78 0.00 0.85 0.85 0.85 0.39
time (sec) N/A 0.036 0.014 0.036 0.000 0.595 0.119 0.244 4.474
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 125 279 0 100 87 0 76
normalized size 1 1.00 2.02 4.50 0.00 1.61 1.40 0.00 1.23
time (sec) N/A 0.029 0.073 0.018 0.000 0.647 0.348 0.000 4.338
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 87 136 0 31 42 26 31
normalized size 1 1.00 1.74 2.72 0.00 0.62 0.84 0.52 0.62
time (sec) N/A 0.040 0.135 0.017 0.000 0.646 0.130 0.167 0.079
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 82 111 0 31 42 26 31
normalized size 1 1.00 1.86 2.52 0.00 0.70 0.95 0.59 0.70
time (sec) N/A 0.029 0.071 0.017 0.000 0.648 0.131 0.162 0.079
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 10 104 0 13 10 26 13
normalized size 1 1.00 0.26 2.67 0.00 0.33 0.26 0.67 0.33
time (sec) N/A 0.033 0.007 0.018 0.000 0.437 0.119 0.183 4.308
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 5 7 9
normalized size 1 1.00 1.00 1.11 1.00 1.00 0.56 0.78 1.00
time (sec) N/A 0.004 0.004 0.007 0.998 0.383 0.095 0.181 0.030
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 25 25 25 22 21 21 19 35 10
normalized size 1 1.00 1.00 0.88 0.84 0.84 0.76 1.40 0.40
time (sec) N/A 0.013 0.006 0.004 1.038 0.392 0.116 0.149 0.060
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 40 62 34 34 39 34 18
normalized size 1 1.00 0.87 1.35 0.74 0.74 0.85 0.74 0.39
time (sec) N/A 0.019 0.013 0.003 2.263 0.406 0.113 0.150 0.060
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 35 0 39 39 39 18
normalized size 1 1.00 0.87 0.76 0.00 0.85 0.85 0.85 0.39
time (sec) N/A 0.021 0.013 0.012 0.000 0.408 0.121 0.179 4.305
Problem 88 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 2 2 19 3 13 13 12 15 2
normalized size 1 1.00 9.50 1.50 6.50 6.50 6.00 7.50 1.00
time (sec) N/A 0.002 0.002 0.001 1.072 0.403 0.109 0.148 4.305
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 40 34 55 39 39 39 18
normalized size 1 1.00 1.05 0.89 1.45 1.03 1.03 1.03 0.47
time (sec) N/A 0.029 0.014 0.004 2.458 0.389 0.116 0.182 0.112
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 40 70 0 39 39 39 18
normalized size 1 1.00 0.85 1.49 0.00 0.83 0.83 0.83 0.38
time (sec) N/A 0.036 0.018 0.018 0.000 0.394 0.118 0.322 4.323
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 82 0 39 39 39 18
normalized size 1 1.00 0.87 1.78 0.00 0.85 0.85 0.85 0.39
time (sec) N/A 0.035 0.016 0.018 0.000 0.395 0.142 0.225 4.388
Problem 92 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 43 43 99 34 33 33 46 33 29
normalized size 1 1.00 2.30 0.79 0.77 0.77 1.07 0.77 0.67
time (sec) N/A 0.035 0.102 0.008 2.354 0.390 0.142 0.160 4.378
Problem 93 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 43 43 99 34 33 33 46 33 29
normalized size 1 1.00 2.30 0.79 0.77 0.77 1.07 0.77 0.67
time (sec) N/A 0.032 0.033 0.004 2.487 0.402 0.150 0.177 0.002
Problem 94 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 21 21 27 28 23 34 22 25 17
normalized size 1 1.00 1.29 1.33 1.10 1.62 1.05 1.19 0.81
time (sec) N/A 0.005 0.010 0.009 1.104 0.392 0.129 0.173 0.033
Problem 95 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 28 28 53 26 38 49 53 44 17
normalized size 1 1.00 1.89 0.93 1.36 1.75 1.89 1.57 0.61
time (sec) N/A 0.013 0.019 0.006 2.356 0.405 0.606 0.174 4.385
Problem 96 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 36 36 72 56 51 55 474 60 290
normalized size 1 1.00 2.00 1.56 1.42 1.53 13.17 1.67 8.06
time (sec) N/A 0.040 0.041 0.008 2.407 0.454 1.502 0.155 4.389
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 73 104 0 137 46 41 117
normalized size 1 1.00 0.99 1.41 0.00 1.85 0.62 0.55 1.58
time (sec) N/A 0.045 0.098 0.025 0.000 0.439 0.209 0.158 0.108
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A C A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 83 83 97 114 69 69 740 69 827
normalized size 1 1.00 1.17 1.37 0.83 0.83 8.92 0.83 9.96
time (sec) N/A 0.055 0.127 0.005 2.427 0.432 1.264 0.154 4.496
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A C A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 119 119 147 168 105 185 874 109 897
normalized size 1 1.00 1.24 1.41 0.88 1.55 7.34 0.92 7.54
time (sec) N/A 0.091 0.249 0.014 2.349 0.413 1.895 0.157 4.495
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 111 710 0 3406 122 544 771
normalized size 1 1.00 0.47 3.03 0.00 14.56 0.52 2.32 3.29
time (sec) N/A 0.230 0.116 0.099 0.000 0.554 1.322 0.878 4.490
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 165 756 0 4346 165 988 1491
normalized size 1 1.00 0.52 2.39 0.00 13.75 0.52 3.13 4.72
time (sec) N/A 0.289 0.216 0.313 0.000 0.614 1.801 0.946 4.499
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F C F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 53 199 0 97 0 122 121
normalized size 1 1.00 0.33 1.24 0.00 0.61 0.00 0.76 0.76
time (sec) N/A 0.146 0.045 0.089 0.000 0.423 0.000 0.378 4.956
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F C F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 53 199 0 97 0 126 121
normalized size 1 1.00 0.31 1.16 0.00 0.56 0.00 0.73 0.70
time (sec) N/A 0.137 0.035 0.088 0.000 0.446 0.000 0.328 4.953
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 137 285 0 451 1469 1501 1227
normalized size 1 1.00 0.86 1.78 0.00 2.82 9.18 9.38 7.67
time (sec) N/A 0.119 0.090 0.023 0.000 0.487 2.862 0.322 1.067
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 136 283 0 455 1467 1501 1227
normalized size 1 1.00 0.85 1.77 0.00 2.84 9.17 9.38 7.67
time (sec) N/A 0.103 0.057 0.019 0.000 0.488 2.729 0.353 5.246
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 115 92 0 517 27 0 133
normalized size 1 1.00 1.01 0.81 0.00 4.54 0.24 0.00 1.17
time (sec) N/A 0.076 0.172 0.037 0.000 0.431 0.253 0.000 4.484
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 115 96 0 251 0 0 159
normalized size 1 1.00 0.94 0.79 0.00 2.06 0.00 0.00 1.30
time (sec) N/A 0.080 0.153 0.048 0.000 0.418 0.000 0.000 5.060
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 115 89 88 264 143 92 133
normalized size 1 1.00 0.93 0.72 0.71 2.13 1.15 0.74 1.07
time (sec) N/A 0.077 0.131 0.026 2.287 0.457 0.313 0.177 0.237
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 130 190 0 4551 172 0 1007
normalized size 1 1.00 0.96 1.40 0.00 33.46 1.26 0.00 7.40
time (sec) N/A 0.104 0.150 0.026 0.000 1.094 1.907 0.000 4.587
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 138 198 0 1141 0 0 1155
normalized size 1 1.00 0.86 1.24 0.00 7.13 0.00 0.00 7.22
time (sec) N/A 0.116 0.135 0.041 0.000 0.539 0.000 0.000 4.986
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 414 414 247 404 0 1457 0 0 3285
normalized size 1 1.00 0.60 0.98 0.00 3.52 0.00 0.00 7.93
time (sec) N/A 0.453 0.202 0.064 0.000 0.657 0.000 0.000 5.219
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 163 320 0 1469 0 0 1575
normalized size 1 1.00 0.70 1.37 0.00 6.28 0.00 0.00 6.73
time (sec) N/A 0.172 0.186 0.071 0.000 1.169 0.000 0.000 5.290
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 103 200 0 0 0 0 -1
normalized size 1 1.00 1.07 2.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.123 0.135 0.110 0.000 0.422 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 25 25 19 113 0 0 0 0 -1
normalized size 1 1.00 0.76 4.52 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.032 0.055 0.016 0.000 0.446 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 103 204 0 0 0 0 -1
normalized size 1 1.00 1.07 2.12 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.178 0.168 0.099 0.000 0.420 0.000 0.000 0.000
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0 -1
normalized size 1 1.00 1.16 2.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.120 0.134 0.100 0.000 0.411 0.000 0.000 0.000
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 35 95 0 0 0 0 -1
normalized size 1 1.00 1.30 3.52 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.039 0.063 0.010 0.000 0.441 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0 -1
normalized size 1 1.00 1.16 2.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.165 0.167 0.094 0.000 0.420 0.000 0.000 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 296 187 515 0 0 0 0 -1
normalized size 1 1.00 0.63 1.74 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.119 0.301 0.050 0.000 0.443 0.000 0.000 0.000
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 106 106 106 97 94 98 110 94 95
normalized size 1 1.00 1.00 0.92 0.89 0.92 1.04 0.89 0.90
time (sec) N/A 0.083 0.020 0.002 1.051 0.355 0.093 0.153 4.350
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 79 72 71 73 78 71 71
normalized size 1 1.00 1.00 0.91 0.90 0.92 0.99 0.90 0.90
time (sec) N/A 0.056 0.016 0.002 1.037 0.351 0.088 0.149 0.030
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 56 56 56 49 48 50 56 50 49
normalized size 1 1.00 1.00 0.88 0.86 0.89 1.00 0.89 0.88
time (sec) N/A 0.032 0.011 0.000 0.967 0.351 0.077 0.199 0.024
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 26 29 28 26
normalized size 1 1.00 1.00 0.84 0.81 0.81 0.91 0.88 0.81
time (sec) N/A 0.014 0.002 0.001 1.061 0.350 0.076 0.178 0.042
Problem 124 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 55 55 55 57 47 131 104 44 45
normalized size 1 1.00 1.00 1.04 0.85 2.38 1.89 0.80 0.82
time (sec) N/A 0.035 0.036 0.008 2.546 0.396 0.324 0.169 0.069
Problem 125 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 74 74 78 82 74 222 138 62 68
normalized size 1 1.00 1.05 1.11 1.00 3.00 1.86 0.84 0.92
time (sec) N/A 0.052 0.051 0.011 2.238 0.427 0.510 0.157 4.442
Problem 126 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 93 93 92 99 102 306 219 77 97
normalized size 1 1.00 0.99 1.06 1.10 3.29 2.35 0.83 1.04
time (sec) N/A 0.067 0.064 0.009 2.559 0.431 0.755 0.160 4.481
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 113 122 137 424 204 100 129
normalized size 1 1.00 0.92 0.99 1.11 3.45 1.66 0.81 1.05
time (sec) N/A 0.114 0.081 0.009 2.355 0.421 0.952 0.154 4.483
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 133 133 133 130 129 131 144 128 127
normalized size 1 1.00 1.00 0.98 0.97 0.98 1.08 0.96 0.95
time (sec) N/A 0.107 0.022 0.002 1.066 0.353 0.095 0.159 0.058
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 97 97 97 90 89 91 104 91 89
normalized size 1 1.00 1.00 0.93 0.92 0.94 1.07 0.94 0.92
time (sec) N/A 0.068 0.018 0.002 1.027 0.350 0.088 0.149 0.048
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 60 51 50 50 60 53 50
normalized size 1 1.00 1.00 0.85 0.83 0.83 1.00 0.88 0.83
time (sec) N/A 0.030 0.003 0.002 1.037 0.348 0.076 0.152 0.026
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 25 25 25 22 21 21 22 21 21
normalized size 1 1.00 1.00 0.88 0.84 0.84 0.88 0.84 0.84
time (sec) N/A 0.008 0.001 0.000 1.004 0.344 0.065 0.166 0.028
Problem 132 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 108 108 97 136 113 268 236 105 141
normalized size 1 1.00 0.90 1.26 1.05 2.48 2.19 0.97 1.31
time (sec) N/A 0.077 0.079 0.005 2.453 0.400 0.498 0.156 4.394
Problem 133 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 131 131 134 170 142 394 314 128 183
normalized size 1 1.00 1.02 1.30 1.08 3.01 2.40 0.98 1.40
time (sec) N/A 0.188 0.108 0.011 2.283 0.404 0.932 0.171 4.399
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 155 155 154 211 167 516 257 145 164
normalized size 1 1.00 0.99 1.36 1.08 3.33 1.66 0.94 1.06
time (sec) N/A 0.252 0.110 0.011 2.313 0.408 1.713 0.172 4.410
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 184 184 174 262 205 662 292 167 199
normalized size 1 1.00 0.95 1.42 1.11 3.60 1.59 0.91 1.08
time (sec) N/A 0.297 0.138 0.014 2.392 0.448 2.612 0.164 4.486
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 223 223 200 231 244 806 335 198 240
normalized size 1 1.00 0.90 1.04 1.09 3.61 1.50 0.89 1.08
time (sec) N/A 0.339 0.189 0.012 2.413 0.453 4.114 0.252 4.492
Problem 137 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 437 437 444 741 432 2878 500 498 4022
normalized size 1 1.00 1.02 1.70 0.99 6.59 1.14 1.14 9.20
time (sec) N/A 0.453 0.339 0.011 2.453 4.262 3.752 0.185 5.081
Problem 138 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 370 370 360 572 342 2133 350 405 2712
normalized size 1 1.00 0.97 1.55 0.92 5.76 0.95 1.09 7.33
time (sec) N/A 0.501 0.277 0.004 2.484 1.267 2.273 0.205 4.877
Problem 139 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 297 297 269 412 288 1480 238 318 1479
normalized size 1 1.00 0.91 1.39 0.97 4.98 0.80 1.07 4.98
time (sec) N/A 0.293 0.257 0.004 2.361 0.609 1.478 0.179 4.794
Problem 140 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 247 247 183 260 221 767 109 245 599
normalized size 1 1.00 0.74 1.05 0.89 3.11 0.44 0.99 2.43
time (sec) N/A 0.152 0.054 0.003 2.533 0.427 0.680 0.176 4.682
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 185 185 134 128 169 121 20 179 33
normalized size 1 1.00 0.72 0.69 0.91 0.65 0.11 0.97 0.18
time (sec) N/A 0.111 0.018 0.003 2.439 0.407 0.174 0.181 4.409
Problem 142 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 336 336 234 363 268 4084 0 339 4802
normalized size 1 1.00 0.70 1.08 0.80 12.15 0.00 1.01 14.29
time (sec) N/A 0.270 0.154 0.007 2.385 1.049 0.000 0.207 5.706
Problem 143 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 453 453 362 650 403 8409 0 517 16369
normalized size 1 1.00 0.80 1.43 0.89 18.56 0.00 1.14 36.13
time (sec) N/A 0.384 0.468 0.012 2.445 16.306 0.000 0.253 6.548
Problem 144 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 363 363 371 624 292 2116 352 425 2560
normalized size 1 1.00 1.02 1.72 0.80 5.83 0.97 1.17 7.05
time (sec) N/A 0.410 0.260 0.011 2.364 0.554 3.371 0.188 4.940
Problem 145 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 349 349 295 464 324 1596 275 350 1565
normalized size 1 1.00 0.85 1.33 0.93 4.57 0.79 1.00 4.48
time (sec) N/A 0.313 0.167 0.009 2.589 0.627 2.069 0.190 4.786
Problem 146 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 275 275 267 303 253 873 136 273 637
normalized size 1 1.00 0.97 1.10 0.92 3.17 0.49 0.99 2.32
time (sec) N/A 0.203 0.273 0.006 2.267 0.425 1.032 0.440 0.396
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 183 143 189 173 39 194 58
normalized size 1 1.00 0.91 0.71 0.94 0.86 0.19 0.96 0.29
time (sec) N/A 0.133 0.115 0.005 2.430 0.409 0.348 0.182 0.084
Problem 148 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 689 689 429 873 506 9892 0 603 17945
normalized size 1 1.00 0.62 1.27 0.73 14.36 0.00 0.88 26.04
time (sec) N/A 0.623 0.295 0.017 2.449 19.109 0.000 0.209 6.781
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 864 864 540 1169 732 0 0 855 28923
normalized size 1 1.00 0.62 1.35 0.85 0.00 0.00 0.99 33.48
time (sec) N/A 0.906 0.584 0.020 2.607 0.000 0.000 0.247 8.330
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 388 386 203 506 0 0 214 0 -1
normalized size 1 0.99 0.52 1.30 0.00 0.00 0.55 0.00 -0.00
time (sec) N/A 0.415 0.212 0.017 0.000 0.610 6.167 0.000 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 140 388 0 0 173 0 -1
normalized size 1 1.00 0.43 1.19 0.00 0.00 0.53 0.00 -0.00
time (sec) N/A 0.287 0.138 0.010 0.000 0.917 4.730 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 120 266 0 0 124 0 -1
normalized size 1 1.00 0.45 1.01 0.00 0.00 0.47 0.00 -0.00
time (sec) N/A 0.129 0.089 0.007 0.000 0.486 3.574 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 77 169 0 0 78 0 -1
normalized size 1 1.00 0.34 0.75 0.00 0.00 0.35 0.00 -0.00
time (sec) N/A 0.069 0.032 0.004 0.000 0.653 2.061 0.000 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 334 334 95 107 0 0 0 0 -1
normalized size 1 1.00 0.28 0.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.266 0.150 0.038 0.000 11.319 0.000 0.000 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 581 581 522 556 0 0 0 0 -1
normalized size 1 1.00 0.90 0.96 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.762 0.764 0.031 0.000 0.000 0.000 0.000 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 729 729 332 1018 0 0 0 0 -1
normalized size 1 1.00 0.46 1.40 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.250 1.097 0.031 0.000 0.000 0.000 0.000 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 141 360 0 0 180 0 -1
normalized size 1 1.00 0.66 1.69 0.00 0.00 0.85 0.00 -0.00
time (sec) N/A 0.282 0.160 0.031 0.000 0.916 4.890 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 121 246 0 0 129 0 -1
normalized size 1 1.00 0.75 1.52 0.00 0.00 0.80 0.00 -0.01
time (sec) N/A 0.145 0.102 0.009 0.000 0.667 3.774 0.000 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 77 154 0 0 82 0 -1
normalized size 1 1.00 0.62 1.24 0.00 0.00 0.66 0.00 -0.01
time (sec) N/A 0.089 0.031 0.005 0.000 0.851 2.236 0.000 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 91 97 0 0 0 0 -1
normalized size 1 1.00 1.26 1.35 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.041 0.149 0.029 0.000 10.029 0.000 0.000 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 508 523 0 0 0 0 -1
normalized size 1 1.00 1.70 1.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.356 0.958 0.030 0.000 0.000 0.000 0.000 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 425 425 321 961 0 0 0 0 -1
normalized size 1 1.00 0.76 2.26 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.751 1.236 0.032 0.000 0.000 0.000 0.000 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 563 458 1420 0 0 0 0 -1
normalized size 1 1.00 0.81 2.52 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.206 1.927 0.035 0.000 0.000 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 78 160 0 0 73 0 -1
normalized size 1 1.00 0.62 1.27 0.00 0.00 0.58 0.00 -0.01
time (sec) N/A 0.083 0.035 0.010 0.000 1.054 2.182 0.000 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 92 99 0 0 0 0 -1
normalized size 1 1.00 1.26 1.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.042 0.146 0.022 0.000 13.112 0.000 0.000 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 86 158 0 0 70 0 -1
normalized size 1 1.00 1.59 2.93 0.00 0.00 1.30 0.00 -0.02
time (sec) N/A 0.049 0.037 0.053 0.000 0.700 2.414 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 85 165 0 0 76 0 -1
normalized size 1 1.00 1.63 3.17 0.00 0.00 1.46 0.00 -0.02
time (sec) N/A 0.046 0.030 0.044 0.000 0.669 2.296 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 80 175 0 0 83 0 -1
normalized size 1 1.00 0.34 0.74 0.00 0.00 0.35 0.00 -0.00
time (sec) N/A 0.069 0.036 0.011 0.000 0.624 2.098 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 347 347 98 110 0 0 0 0 -1
normalized size 1 1.00 0.28 0.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.295 0.149 0.022 0.000 10.931 0.000 0.000 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 79 0 0 0 0 -1
normalized size 1 1.00 1.00 1.98 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.063 0.126 0.065 0.000 7.828 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 50 86 0 0 0 0 -1
normalized size 1 1.00 0.16 0.28 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.273 0.102 0.084 0.000 7.289 0.000 0.000 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 59 78 0 0 0 0 -1
normalized size 1 1.00 1.48 1.95 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.018 0.124 0.034 0.000 177.333 0.000 0.000 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 300 300 65 86 0 0 0 0 -1
normalized size 1 1.00 0.22 0.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.223 0.111 0.033 0.000 0.000 0.000 0.000 0.000
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 112 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.009 0.060 0.101 0.000 0.948 0.000 0.000 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.008 0.076 0.097 0.000 1.067 0.000 0.000 0.000
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 196 136 0 0 0 167 0 -1
normalized size 1 0.96 0.67 0.00 0.00 0.00 0.82 0.00 -0.00
time (sec) N/A 0.230 0.074 0.087 0.000 0.678 139.104 0.000 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 142 106 0 0 0 119 0 -1
normalized size 1 0.95 0.71 0.00 0.00 0.00 0.79 0.00 -0.01
time (sec) N/A 0.132 0.043 0.086 0.000 0.900 79.159 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 75 0 0 0 75 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.78 0.00 -0.01
time (sec) N/A 0.051 0.023 0.082 0.000 0.947 42.838 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 0 0 0 34 0 41
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.77 0.00 0.93
time (sec) N/A 0.010 0.003 0.082 0.000 0.765 9.182 0.000 4.364
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 123 123 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.127 0.127 0.091 0.000 0.559 0.000 0.000 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 189 189 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.194 0.243 0.090 0.000 0.537 0.000 0.000 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 103 86 75 0 0 129 0 -1
normalized size 1 0.95 0.80 0.69 0.00 0.00 1.19 0.00 -0.01
time (sec) N/A 0.115 0.017 0.150 0.000 0.823 120.366 0.000 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 79 65 56 0 0 94 0 -1
normalized size 1 0.92 0.76 0.65 0.00 0.00 1.09 0.00 -0.01
time (sec) N/A 0.068 0.011 0.093 0.000 0.665 69.116 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 37 0 0 61 0 -1
normalized size 1 1.00 1.00 0.88 0.00 0.00 1.45 0.00 -0.02
time (sec) N/A 0.021 0.007 0.084 0.000 0.614 35.982 0.000 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 0 0 29 0 15
normalized size 1 1.00 1.00 0.94 0.00 0.00 1.61 0.00 0.83
time (sec) N/A 0.004 0.002 0.084 0.000 0.680 7.707 0.000 0.070
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 50 50 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.054 0.081 0.113 0.000 0.636 0.000 0.000 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 77 77 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.143 0.095 0.000 0.725 0.000 0.000 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.114 0.257 0.093 0.000 0.640 0.000 0.000 0.000
Problem 189 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 51 51 51 42 56 116 75 144 42
normalized size 1 1.00 1.00 0.82 1.10 2.27 1.47 2.82 0.82
time (sec) N/A 0.041 0.023 0.003 2.248 0.819 0.241 0.213 0.091
Problem 190 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 38 38 38 31 45 90 58 123 28
normalized size 1 1.00 1.00 0.82 1.18 2.37 1.53 3.24 0.74
time (sec) N/A 0.034 0.018 0.003 2.453 0.647 0.201 0.232 0.055
Problem 191 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 29 29 29 22 36 73 34 118 21
normalized size 1 1.00 1.00 0.76 1.24 2.52 1.17 4.07 0.72
time (sec) N/A 0.023 0.009 0.002 2.451 0.805 0.183 0.206 4.432
Problem 192 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 24 16 31 68 46 116 16
normalized size 1 1.00 1.00 0.67 1.29 2.83 1.92 4.83 0.67
time (sec) N/A 0.012 0.005 0.002 2.351 0.539 0.155 0.290 0.058
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 65 55 71 189 226 0 74
normalized size 1 1.00 0.90 0.76 0.99 2.62 3.14 0.00 1.03
time (sec) N/A 0.057 0.037 0.011 2.445 0.687 0.452 0.000 0.159
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 76 73 92 278 257 0 96
normalized size 1 1.00 0.85 0.82 1.03 3.12 2.89 0.00 1.08
time (sec) N/A 0.083 0.059 0.011 2.493 0.857 0.715 0.000 0.163
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 61 1442 0 199 0 24 -1
normalized size 1 1.00 0.98 23.26 0.00 3.21 0.00 0.39 -0.02
time (sec) N/A 0.044 0.029 0.059 0.000 0.737 0.000 0.246 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 986 0 138 0 131 -1
normalized size 1 1.00 1.00 25.95 0.00 3.63 0.00 3.45 -0.03
time (sec) N/A 0.026 0.155 0.024 0.000 0.622 0.000 0.528 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 108 441 0 209 0 1 -1
normalized size 1 1.00 1.77 7.23 0.00 3.43 0.00 0.02 -0.02
time (sec) N/A 0.039 0.126 0.022 0.000 0.609 0.000 0.328 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 80 80 345 911 0 279 0 0 -1
normalized size 1 1.00 4.31 11.39 0.00 3.49 0.00 0.00 -0.01
time (sec) N/A 0.069 3.343 0.028 0.000 0.772 0.000 0.000 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 98 132 0 251 0 0 -1
normalized size 1 1.00 0.64 0.86 0.00 1.64 0.00 0.00 -0.01
time (sec) N/A 0.055 0.165 0.073 0.000 0.728 0.000 0.000 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 86 107 0 223 0 0 -1
normalized size 1 1.00 0.78 0.97 0.00 2.03 0.00 0.00 -0.01
time (sec) N/A 0.035 0.072 0.022 0.000 0.716 0.000 0.000 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 50 69 0 121 0 0 -1
normalized size 1 1.00 0.77 1.06 0.00 1.86 0.00 0.00 -0.02
time (sec) N/A 0.022 0.043 0.024 0.000 0.851 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 78 249 0 152 0 0 -1
normalized size 1 1.00 1.00 3.19 0.00 1.95 0.00 0.00 -0.01
time (sec) N/A 0.036 0.052 0.055 0.000 0.990 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 111 488 0 297 0 0 -1
normalized size 1 1.00 0.89 3.90 0.00 2.38 0.00 0.00 -0.01
time (sec) N/A 0.051 0.085 0.056 0.000 0.907 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 123 711 0 365 0 0 -1
normalized size 1 1.00 0.73 4.23 0.00 2.17 0.00 0.00 -0.01
time (sec) N/A 0.086 0.107 0.059 0.000 0.931 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 123 105 0 265 0 0 -1
normalized size 1 1.00 0.81 0.69 0.00 1.74 0.00 0.00 -0.01
time (sec) N/A 0.055 0.200 0.020 0.000 0.954 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 110 85 0 236 0 0 -1
normalized size 1 1.00 1.01 0.78 0.00 2.17 0.00 0.00 -0.01
time (sec) N/A 0.035 0.110 0.014 0.000 1.009 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 67 54 0 125 0 0 -1
normalized size 1 1.00 1.05 0.84 0.00 1.95 0.00 0.00 -0.02
time (sec) N/A 0.025 0.040 0.014 0.000 0.938 0.000 0.000 0.000
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 267 0 155 0 0 -1
normalized size 1 1.00 1.00 3.47 0.00 2.01 0.00 0.00 -0.01
time (sec) N/A 0.036 0.050 0.063 0.000 0.735 0.000 0.000 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 110 510 0 302 0 0 -1
normalized size 1 1.00 0.89 4.11 0.00 2.44 0.00 0.00 -0.01
time (sec) N/A 0.054 0.082 0.042 0.000 0.648 0.000 0.000 0.000
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 122 739 0 376 0 0 -1
normalized size 1 1.00 0.73 4.43 0.00 2.25 0.00 0.00 -0.01
time (sec) N/A 0.087 0.106 0.053 0.000 0.960 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 38 25 0 73 0 0 -1
normalized size 1 1.00 1.27 0.83 0.00 2.43 0.00 0.00 -0.03
time (sec) N/A 0.010 0.023 0.013 0.000 0.952 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 40 34 33 0 65 0 0 -1
normalized size 1 1.67 1.42 1.38 0.00 2.71 0.00 0.00 -0.04
time (sec) N/A 0.011 0.020 0.011 0.000 0.882 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 72 71 59 0 137 0 0 -1
normalized size 1 0.99 0.97 0.81 0.00 1.88 0.00 0.00 -0.01
time (sec) N/A 0.118 0.056 0.002 0.000 1.376 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 121 226 0 446 345 10312 182
normalized size 1 1.00 1.00 1.87 0.00 3.69 2.85 85.22 1.50
time (sec) N/A 0.160 0.075 0.010 0.000 0.754 0.996 5.854 4.532
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 84 142 0 311 275 8680 113
normalized size 1 1.00 0.98 1.65 0.00 3.62 3.20 100.93 1.31
time (sec) N/A 0.107 0.046 0.005 0.000 0.948 0.720 5.304 4.522
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 63 79 0 210 212 7051 52
normalized size 1 1.00 0.98 1.23 0.00 3.28 3.31 110.17 0.81
time (sec) N/A 0.078 0.055 0.004 0.000 1.011 0.485 4.818 0.069
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 48 33 0 134 124 3276 38
normalized size 1 1.00 0.98 0.67 0.00 2.73 2.53 66.86 0.78
time (sec) N/A 0.029 0.012 0.002 0.000 0.900 0.325 6.095 4.491
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 133 155 0 895 0 0 3901
normalized size 1 1.00 0.98 1.14 0.00 6.58 0.00 0.00 28.68
time (sec) N/A 0.178 0.201 0.013 0.000 1.534 0.000 0.000 5.403
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 177 319 0 1765 0 0 6267
normalized size 1 1.00 0.95 1.71 0.00 9.44 0.00 0.00 33.51
time (sec) N/A 0.278 0.411 0.013 0.000 2.909 0.000 0.000 6.453
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 134 7043 0 1079 0 54 -1
normalized size 1 1.00 0.96 50.67 0.00 7.76 0.00 0.39 -0.01
time (sec) N/A 0.276 0.257 0.063 0.000 1.971 0.000 2.394 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 103 4308 0 940 0 27 -1
normalized size 1 1.00 0.95 39.89 0.00 8.70 0.00 0.25 -0.01
time (sec) N/A 0.126 0.086 0.023 0.000 1.218 0.000 2.385 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 76 2252 0 432 0 0 -1
normalized size 1 1.00 1.00 29.63 0.00 5.68 0.00 0.00 -0.01
time (sec) N/A 0.070 0.065 0.023 0.000 0.796 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 106 106 418 771 0 701 0 0 -1
normalized size 1 1.00 3.94 7.27 0.00 6.61 0.00 0.00 -0.01
time (sec) N/A 0.117 1.049 0.021 0.000 1.174 0.000 0.000 0.000
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 149 149 1058 1637 0 1063 0 0 -1
normalized size 1 1.00 7.10 10.99 0.00 7.13 0.00 0.00 -0.01
time (sec) N/A 0.269 4.136 0.021 0.000 2.638 0.000 0.000 0.000
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 169 263 0 0 0 0 -1
normalized size 1 1.00 0.92 1.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.316 0.155 0.000 0.861 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 162 248 0 0 0 0 -1
normalized size 1 1.00 0.99 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.061 0.155 0.009 0.000 0.938 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 168 233 0 0 0 0 -1
normalized size 1 1.00 1.16 1.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.043 0.182 0.005 0.000 0.826 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 117 293 0 0 0 0 -1
normalized size 1 1.00 0.85 2.14 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 0.095 0.107 0.000 0.966 0.000 0.000 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 164 224 0 0 0 0 -1
normalized size 1 1.00 3.35 4.57 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.011 0.347 0.020 0.000 0.942 0.000 0.000 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 176 333 0 0 0 0 -1
normalized size 1 1.00 1.89 3.58 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.508 0.304 0.025 0.000 0.839 0.000 0.000 0.000
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 240 438 0 0 0 0 -1
normalized size 1 1.00 1.45 2.64 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.615 0.408 0.026 0.000 0.564 0.000 0.000 0.000
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 157 233 0 0 0 0 -1
normalized size 1 1.00 0.99 1.47 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.071 0.170 0.031 0.000 0.660 0.000 0.000 0.000
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 143 218 0 0 0 0 -1
normalized size 1 1.00 1.04 1.59 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.045 0.140 0.009 0.000 0.689 0.000 0.000 0.000
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 94 205 0 0 0 0 -1
normalized size 1 1.00 0.82 1.78 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.022 0.071 0.007 0.000 0.796 0.000 0.000 0.000
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 72 104 0 0 0 0 -1
normalized size 1 1.00 1.04 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.065 0.020 0.000 0.807 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 226 397 0 0 0 0 -1
normalized size 1 1.00 1.92 3.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.135 0.405 0.024 0.000 0.783 0.000 0.000 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 235 418 0 0 0 0 -1
normalized size 1 1.00 1.65 2.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.277 0.343 0.024 0.000 0.918 0.000 0.000 0.000
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 144 144 0 268 0 0 0 0 -1
normalized size 1 1.00 0.00 1.86 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.045 0.000 0.037 0.000 0.689 0.000 0.000 0.000
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 98 98 0 268 0 0 0 0 -1
normalized size 1 1.00 0.00 2.73 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.025 0.000 0.008 0.000 0.729 0.000 0.000 0.000
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 96 96 0 247 0 0 0 0 -1
normalized size 1 1.00 0.00 2.57 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.021 0.000 0.009 0.000 0.650 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 204 398 0 0 0 0 -1
normalized size 1 1.00 1.23 2.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.104 0.205 0.022 0.000 0.569 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 168 419 0 0 0 0 -1
normalized size 1 1.00 1.51 3.77 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.278 0.385 0.026 0.000 0.773 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 192 439 0 0 0 0 -1
normalized size 1 1.00 1.01 2.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.571 0.337 0.028 0.000 0.657 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 135 136 135 148 156 142 131
normalized size 1 1.00 1.00 1.01 1.00 1.10 1.16 1.05 0.97
time (sec) N/A 0.126 0.037 0.001 0.962 0.683 0.113 0.154 0.063
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 104 103 102 111 112 108 101
normalized size 1 1.00 1.01 1.00 0.99 1.08 1.09 1.05 0.98
time (sec) N/A 0.095 0.028 0.001 1.034 0.587 0.291 0.155 4.628
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 70 69 76 78 76 70
normalized size 1 1.00 1.00 0.96 0.95 1.04 1.07 1.04 0.96
time (sec) N/A 0.060 0.020 0.001 1.074 0.492 0.108 0.149 4.587
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 37 36 40 39 43 38
normalized size 1 1.00 1.00 0.88 0.86 0.95 0.93 1.02 0.90
time (sec) N/A 0.027 0.009 0.001 0.904 0.480 0.101 0.148 0.044
Problem 248 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 66 66 65 84 58 159 117 56 57
normalized size 1 1.00 0.98 1.27 0.88 2.41 1.77 0.85 0.86
time (sec) N/A 0.045 0.052 0.004 2.409 0.609 0.729 0.151 0.085
Problem 249 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 83 83 88 118 84 268 153 75 77
normalized size 1 1.00 1.06 1.42 1.01 3.23 1.84 0.90 0.93
time (sec) N/A 0.093 0.056 0.009 2.245 0.745 1.233 0.170 4.670
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 110 131 121 391 196 101 112
normalized size 1 1.00 0.96 1.14 1.05 3.40 1.70 0.88 0.97
time (sec) N/A 0.107 0.097 0.008 2.253 0.595 2.266 0.232 4.847
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 142 158 162 530 241 134 144
normalized size 1 1.00 0.95 1.05 1.08 3.53 1.61 0.89 0.96
time (sec) N/A 0.205 0.133 0.009 2.507 0.572 4.409 0.159 4.509
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 223 223 223 219 218 261 272 255 220
normalized size 1 1.00 1.00 0.98 0.98 1.17 1.22 1.14 0.99
time (sec) N/A 0.199 0.087 0.001 1.044 0.437 0.220 0.157 4.484
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 156 155 147 181 192 181 148
normalized size 1 1.00 1.01 1.00 0.95 1.17 1.24 1.17 0.95
time (sec) N/A 0.141 0.054 0.000 1.136 0.496 0.155 0.169 4.516
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 96 96 96 91 90 100 107 106 90
normalized size 1 1.00 1.00 0.95 0.94 1.04 1.11 1.10 0.94
time (sec) N/A 0.068 0.024 0.000 1.009 0.527 0.247 0.170 0.038
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy 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 49 42 45 43 48 43 42
normalized size 1 1.00 1.00 0.86 0.92 0.88 0.98 0.88 0.86
time (sec) N/A 0.025 0.006 0.001 1.103 0.471 0.154 0.144 0.022
Problem 256 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 143 143 144 267 176 406 371 185 229
normalized size 1 1.00 1.01 1.87 1.23 2.84 2.59 1.29 1.60
time (sec) N/A 0.140 0.066 0.005 2.377 0.691 1.530 0.162 4.469
Problem 257 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 166 166 183 320 205 600 484 207 293
normalized size 1 1.00 1.10 1.93 1.23 3.61 2.92 1.25 1.77
time (sec) N/A 0.298 0.101 0.011 2.416 0.795 3.786 0.180 4.563
Problem 258 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 201 201 217 402 245 794 398 244 257
normalized size 1 1.00 1.08 2.00 1.22 3.95 1.98 1.21 1.28
time (sec) N/A 0.419 0.113 0.013 2.363 0.649 17.717 0.182 0.118
Problem 259 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 250 250 267 506 300 1016 457 296 308
normalized size 1 1.00 1.07 2.02 1.20 4.06 1.83 1.18 1.23
time (sec) N/A 0.543 0.148 0.014 2.390 0.585 94.000 0.182 4.599
Problem 260 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 317 317 345 412 366 1266 0 364 375
normalized size 1 1.00 1.09 1.30 1.15 3.99 0.00 1.15 1.18
time (sec) N/A 0.650 0.225 0.013 2.519 0.738 0.000 0.195 4.574
Problem 261 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 83 83 88 118 84 268 153 75 77
normalized size 1 1.00 1.06 1.42 1.01 3.23 1.84 0.90 0.93
time (sec) N/A 0.093 0.017 0.000 2.342 0.675 0.820 0.162 0.002
Problem 262 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 83 83 88 118 84 268 153 75 77
normalized size 1 1.00 1.06 1.42 1.01 3.23 1.84 0.90 0.93
time (sec) N/A 0.084 0.017 0.009 2.369 0.613 0.862 0.154 0.115
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 570 1888 0 0 0 9285 29551
normalized size 1 1.00 1.24 4.11 0.00 0.00 0.00 20.23 64.38
time (sec) N/A 1.537 0.687 0.049 0.000 0.000 0.000 1.628 9.313
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 402 1211 0 9584 0 6407 17954
normalized size 1 1.00 1.27 3.83 0.00 30.33 0.00 20.28 56.82
time (sec) N/A 0.786 0.550 0.037 0.000 29.064 0.000 1.355 7.290
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 269 695 0 4690 0 4107 9600
normalized size 1 1.00 1.13 2.92 0.00 19.71 0.00 17.26 40.34
time (sec) N/A 0.635 0.322 0.028 0.000 3.331 0.000 1.136 6.484
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 172 328 0 1525 314 1402 4109
normalized size 1 1.00 0.99 1.89 0.00 8.76 1.80 8.06 23.61
time (sec) N/A 0.202 0.139 0.020 0.000 0.906 20.947 0.872 5.382
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 129 116 0 613 87 1024 763
normalized size 1 1.00 0.86 0.77 0.00 4.09 0.58 6.83 5.09
time (sec) N/A 0.098 0.085 0.014 0.000 0.740 1.272 0.599 0.514
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 274 480 0 0 0 7650 23640
normalized size 1 1.00 1.08 1.89 0.00 0.00 0.00 30.12 93.07
time (sec) N/A 0.586 0.272 0.022 0.000 0.000 0.000 2.535 9.446
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 429 429 354 1141 0 0 0 13225 91169
normalized size 1 1.00 0.83 2.66 0.00 0.00 0.00 30.83 212.52
time (sec) N/A 1.415 0.753 0.029 0.000 0.000 0.000 2.510 10.280
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 563 540 1846 0 12117 0 8983 29030
normalized size 1 1.00 0.96 3.28 0.00 21.52 0.00 15.96 51.56
time (sec) N/A 3.519 1.630 0.050 0.000 84.432 0.000 2.459 8.793
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 415 1223 0 7338 0 6390 18785
normalized size 1 1.00 1.08 3.17 0.00 19.01 0.00 16.55 48.67
time (sec) N/A 2.079 1.111 0.042 0.000 11.077 0.000 1.846 9.845
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 310 1761 0 4573 0 4433 12350
normalized size 1 1.00 1.06 6.01 0.00 15.61 0.00 15.13 42.15
time (sec) N/A 0.789 0.749 0.085 0.000 2.832 0.000 1.764 9.387
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 243 733 0 2309 394 2682 6404
normalized size 1 1.00 0.96 2.91 0.00 9.16 1.56 10.64 25.41
time (sec) N/A 0.517 0.425 0.060 0.000 1.099 170.284 0.602 6.257
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 660 660 708 3841 0 0 0 0 237586
normalized size 1 1.00 1.07 5.82 0.00 0.00 0.00 0.00 359.98
time (sec) N/A 2.873 2.789 0.064 0.000 0.000 0.000 0.000 16.455
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1077 1077 1020 5709 0 0 0 0 97073
normalized size 1 1.00 0.95 5.30 0.00 0.00 0.00 0.00 90.13
time (sec) N/A 12.639 5.843 0.084 0.000 0.000 0.000 0.000 17.810
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 190 283 261 370 505 180 -1
normalized size 1 1.00 0.88 1.32 1.21 1.72 2.35 0.84 -0.00
time (sec) N/A 0.161 0.388 0.010 1.123 1.131 63.830 0.226 0.000
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 157 229 207 304 413 145 -1
normalized size 1 1.00 0.90 1.31 1.18 1.74 2.36 0.83 -0.01
time (sec) N/A 0.122 0.320 0.010 1.018 1.131 31.095 0.222 0.000
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 121 175 153 232 272 106 -1
normalized size 1 1.00 0.92 1.33 1.16 1.76 2.06 0.80 -0.01
time (sec) N/A 0.109 0.234 0.010 0.984 0.989 12.265 0.219 0.000
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 82 122 100 174 230 79 -1
normalized size 1 1.00 0.85 1.26 1.03 1.79 2.37 0.81 -0.01
time (sec) N/A 0.061 0.064 0.009 1.066 1.071 7.045 0.193 0.000
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 98 112 97 249 134 80 -1
normalized size 1 1.00 1.10 1.26 1.09 2.80 1.51 0.90 -0.01
time (sec) N/A 0.073 0.105 0.009 1.130 0.883 9.984 0.205 0.000
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 112 124 135 289 450 88 -1
normalized size 1 1.00 1.11 1.23 1.34 2.86 4.46 0.87 -0.01
time (sec) N/A 0.071 0.190 0.008 1.007 0.753 18.951 0.225 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 67 66 173 93 639 75 133
normalized size 1 1.00 0.78 0.77 2.01 1.08 7.43 0.87 1.55
time (sec) N/A 0.107 0.052 0.005 1.156 0.667 45.985 0.211 4.704
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 101 100 227 136 1989 113 154
normalized size 1 1.00 0.80 0.79 1.80 1.08 15.79 0.90 1.22
time (sec) N/A 0.146 0.093 0.004 1.199 0.895 119.187 0.270 4.667
Problem 284 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 165 164 132 136 281 177 0 148 189
normalized size 1 0.99 0.80 0.82 1.70 1.07 0.00 0.90 1.15
time (sec) N/A 0.210 0.117 0.006 1.202 0.732 0.000 0.228 4.752
Problem 285 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 210 210 167 172 335 224 0 189 226
normalized size 1 1.00 0.80 0.82 1.60 1.07 0.00 0.90 1.08
time (sec) N/A 0.222 0.142 0.008 1.111 1.096 0.000 0.235 4.760
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 119 172 0 0 0 0 -1
normalized size 1 1.00 0.62 0.89 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.102 0.025 0.000 0.725 0.000 0.000 0.000
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 114 155 0 0 0 0 -1
normalized size 1 1.00 0.68 0.92 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.068 0.079 0.007 0.000 0.508 0.000 0.000 0.000
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 109 137 0 0 0 0 -1
normalized size 1 1.00 0.73 0.92 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.048 0.063 0.008 0.000 0.841 0.000 0.000 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 102 121 0 0 0 0 -1
normalized size 1 1.00 0.72 0.86 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.042 0.036 0.004 0.000 0.782 0.000 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 232 90 138 0 0 0 0 -1
normalized size 1 1.30 0.51 0.78 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.124 0.145 0.035 0.000 0.877 0.000 0.000 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 208 162 0 0 0 0 -1
normalized size 1 1.00 1.00 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.123 0.275 0.021 0.000 0.738 0.000 0.000 0.000
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 174 186 0 0 0 0 -1
normalized size 1 1.00 0.73 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.595 0.355 0.023 0.000 0.484 0.000 0.000 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 219 219 0 206 0 0 0 0 -1
normalized size 1 1.00 0.00 0.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.124 0.000 0.020 0.000 0.468 0.000 0.000 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 198 198 0 189 0 0 0 0 -1
normalized size 1 1.00 0.00 0.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 0.000 0.009 0.000 0.423 0.000 0.000 0.000
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 179 179 0 172 0 0 0 0 -1
normalized size 1 1.00 0.00 0.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 0.000 0.005 0.000 0.409 0.000 0.000 0.000
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 114 155 0 0 0 0 -1
normalized size 1 1.00 0.66 0.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.043 0.005 0.000 0.423 0.000 0.000 0.000
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 148 170 0 0 0 0 -1
normalized size 1 1.00 0.71 0.82 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.199 0.177 0.016 0.000 0.476 0.000 0.000 0.000
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 333 213 177 0 0 0 0 -1
normalized size 1 1.50 0.96 0.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.444 0.293 0.022 0.000 0.478 0.000 0.000 0.000
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 288 174 186 0 0 0 0 -1
normalized size 1 1.25 0.75 0.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.668 0.379 0.022 0.000 0.510 0.000 0.000 0.000
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 106 138 0 0 0 0 -1
normalized size 1 1.00 0.68 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.084 0.103 0.018 0.000 0.414 0.000 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 104 121 0 0 0 0 -1
normalized size 1 1.00 0.73 0.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.054 0.088 0.007 0.000 0.417 0.000 0.000 0.000
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 69 106 0 0 0 0 -1
normalized size 1 1.00 0.57 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.032 0.060 0.004 0.000 0.429 0.000 0.000 0.000
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 50 46 0 0 0 0 -1
normalized size 1 1.00 1.04 0.96 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.006 0.015 0.004 0.000 0.426 0.000 0.000 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 55 47 0 0 0 0 -1
normalized size 1 1.00 0.52 0.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.072 0.096 0.014 0.000 0.477 0.000 0.000 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 208 162 0 0 0 0 -1
normalized size 1 1.00 1.00 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.188 0.257 0.020 0.000 0.469 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 186 186 0 0 0 0 -1
normalized size 1 1.00 0.78 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.250 0.343 0.021 0.000 0.494 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 189 189 0 274 0 0 0 0 -1
normalized size 1 1.00 0.00 1.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.000 0.036 0.000 0.418 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 170 170 0 234 0 0 0 0 -1
normalized size 1 1.00 0.00 1.38 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.083 0.000 0.009 0.000 0.417 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 149 149 0 196 0 0 0 0 -1
normalized size 1 1.00 0.00 1.32 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.000 0.008 0.000 0.411 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 149 149 0 173 0 0 0 0 -1
normalized size 1 1.00 0.00 1.16 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.051 0.000 0.008 0.000 0.423 0.000 0.000 0.000
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 145 145 0 150 0 0 0 0 -1
normalized size 1 1.00 0.00 1.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.041 0.000 0.006 0.000 0.430 0.000 0.000 0.000
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 99 129 0 0 0 0 -1
normalized size 1 1.00 0.66 0.87 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.042 0.041 0.005 0.000 0.440 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 207 138 161 0 0 0 0 -1
normalized size 1 1.20 0.80 0.93 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.141 0.169 0.019 0.000 0.470 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 208 185 0 0 0 0 -1
normalized size 1 1.00 0.89 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.429 0.281 0.024 0.000 0.475 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 159 209 0 0 0 0 -1
normalized size 1 1.00 0.60 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.760 0.501 0.025 0.000 0.465 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 112 193 0 0 0 0 -1
normalized size 1 1.00 0.97 1.66 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.112 0.132 0.025 0.000 0.420 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 107 176 0 0 0 0 -1
normalized size 1 1.00 1.13 1.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.087 0.104 0.009 0.000 0.422 0.000 0.000 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0 -1
normalized size 1 1.00 1.38 2.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.061 0.089 0.008 0.000 0.420 0.000 0.000 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 94 141 0 0 0 0 -1
normalized size 1 1.00 2.04 3.07 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 0.081 0.006 0.000 0.418 0.000 0.000 0.000
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 90 125 0 0 0 0 -1
normalized size 1 1.00 2.05 2.84 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.040 0.045 0.004 0.000 0.416 0.000 0.000 0.000
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 51 141 0 0 0 0 -1
normalized size 1 1.00 1.11 3.07 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.079 0.131 0.019 0.000 0.491 0.000 0.000 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0 -1
normalized size 1 1.00 2.65 2.23 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.080 0.283 0.022 0.000 0.478 0.000 0.000 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0 -1
normalized size 1 1.00 2.39 1.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.414 0.357 0.020 0.000 0.471 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) A F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 142 142 0 227 0 0 0 0 -1
normalized size 1 1.00 0.00 1.60 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.132 0.000 0.023 0.000 0.408 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) A F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 121 121 0 210 0 0 0 0 -1
normalized size 1 1.00 0.00 1.74 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.000 0.007 0.000 0.435 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 100 100 0 193 0 0 0 0 -1
normalized size 1 1.00 0.00 1.93 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 0.000 0.009 0.000 0.429 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 81 81 0 176 0 0 0 0 -1
normalized size 1 1.00 0.00 2.17 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 0.000 0.007 0.000 0.416 0.000 0.000 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0 -1
normalized size 1 1.00 1.38 2.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.055 0.004 0.000 0.415 0.000 0.000 0.000
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 130 173 0 0 0 0 -1
normalized size 1 1.00 1.81 2.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.136 0.196 0.017 0.000 0.484 0.000 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 201 180 0 0 0 0 -1
normalized size 1 1.00 2.16 1.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.320 0.314 0.020 0.000 0.478 0.000 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0 -1
normalized size 1 1.00 2.39 1.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.497 0.407 0.022 0.000 0.477 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 97 142 0 0 0 0 -1
normalized size 1 1.00 1.49 2.18 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.076 0.114 0.018 0.000 0.402 0.000 0.000 0.000
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 92 125 0 0 0 0 -1
normalized size 1 1.00 2.00 2.72 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.097 0.009 0.000 0.436 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 34 110 0 0 0 0 -1
normalized size 1 1.00 1.36 4.40 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.038 0.059 0.005 0.000 0.439 0.000 0.000 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 19 47 0 0 0 0 -1
normalized size 1 1.00 1.90 4.70 0.00 0.00 0.00 0.00 -0.10
time (sec) N/A 0.011 0.016 0.004 0.000 0.410 0.000 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 24 48 0 0 0 0 -1
normalized size 1 1.00 1.41 2.82 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.033 0.098 0.015 0.000 0.479 0.000 0.000 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0 -1
normalized size 1 1.00 2.65 2.23 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.285 0.020 0.000 0.482 0.000 0.000 0.000
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 108 189 0 0 0 0 -1
normalized size 1 1.00 1.06 1.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.192 0.416 0.021 0.000 0.486 0.000 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 93 93 0 280 0 0 0 0 -1
normalized size 1 1.00 0.00 3.01 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.000 0.037 0.000 0.452 0.000 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 74 74 0 240 0 0 0 0 -1
normalized size 1 1.00 0.00 3.24 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.076 0.000 0.008 0.000 0.433 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 55 55 0 202 0 0 0 0 -1
normalized size 1 1.00 0.00 3.67 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.000 0.008 0.000 0.424 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 55 55 0 179 0 0 0 0 -1
normalized size 1 1.00 0.00 3.25 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.000 0.008 0.000 0.433 0.000 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 55 55 0 156 0 0 0 0 -1
normalized size 1 1.00 0.00 2.84 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.045 0.000 0.007 0.000 0.413 0.000 0.000 0.000
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) B F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 55 55 0 133 0 0 0 0 -1
normalized size 1 1.00 0.00 2.42 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.041 0.000 0.005 0.000 0.435 0.000 0.000 0.000
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 101 164 0 0 0 0 -1
normalized size 1 1.00 1.40 2.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.090 0.218 0.015 0.000 0.487 0.000 0.000 0.000
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 196 188 0 0 0 0 -1
normalized size 1 1.00 1.96 1.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.297 0.329 0.023 0.000 0.496 0.000 0.000 0.000
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 244 212 0 0 0 0 -1
normalized size 1 1.00 1.91 1.66 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.570 0.397 0.025 0.000 0.487 0.000 0.000 0.000
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 354 292 0 0 0 0 -1
normalized size 1 1.00 1.46 1.21 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.150 0.585 0.167 0.000 0.418 0.000 0.000 0.000
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 349 275 0 0 0 0 -1
normalized size 1 1.00 1.58 1.24 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.112 0.505 0.010 0.000 0.418 0.000 0.000 0.000
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 343 258 0 0 0 0 -1
normalized size 1 1.00 1.73 1.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.077 0.470 0.009 0.000 0.409 0.000 0.000 0.000
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 338 240 0 0 0 0 -1
normalized size 1 1.00 1.91 1.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.054 0.431 0.006 0.000 0.407 0.000 0.000 0.000
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 331 224 0 0 0 0 -1
normalized size 1 1.00 1.96 1.33 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.051 0.352 0.004 0.000 0.412 0.000 0.000 0.000
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 283 386 0 0 0 0 -1
normalized size 1 1.00 0.88 1.20 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.152 0.251 0.118 0.000 0.494 0.000 0.000 0.000
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 481 410 0 0 0 0 -1
normalized size 1 1.00 1.69 1.44 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.151 0.768 0.025 0.000 0.503 0.000 0.000 0.000
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 308 434 0 0 0 0 -1
normalized size 1 1.00 0.99 1.39 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.711 0.680 0.029 0.000 0.496 0.000 0.000 0.000
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 268 268 0 326 0 0 0 0 -1
normalized size 1 1.00 0.00 1.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.174 0.000 0.041 0.000 0.418 0.000 0.000 0.000
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 247 247 0 309 0 0 0 0 -1
normalized size 1 1.00 0.00 1.25 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.130 0.000 0.008 0.000 0.425 0.000 0.000 0.000
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 226 226 0 292 0 0 0 0 -1
normalized size 1 1.00 0.00 1.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.098 0.000 0.009 0.000 0.421 0.000 0.000 0.000
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 207 207 0 275 0 0 0 0 -1
normalized size 1 1.00 0.00 1.33 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.071 0.000 0.008 0.000 0.444 0.000 0.000 0.000
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 343 258 0 0 0 0 -1
normalized size 1 1.00 1.73 1.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.069 0.420 0.004 0.000 0.414 0.000 0.000 0.000
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 477 418 0 0 0 0 -1
normalized size 1 1.00 1.68 1.47 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.236 0.724 0.021 0.000 0.494 0.000 0.000 0.000
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 372 309 425 0 0 0 0 -1
normalized size 1 1.22 1.01 1.39 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.534 0.569 0.028 0.000 0.479 0.000 0.000 0.000
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 440 440 309 434 0 0 0 0 -1
normalized size 1 1.00 0.70 0.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.800 0.688 0.027 0.000 0.522 0.000 0.000 0.000
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 337 241 0 0 0 0 -1
normalized size 1 1.00 1.80 1.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.093 0.479 0.031 0.000 0.414 0.000 0.000 0.000
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 331 224 0 0 0 0 -1
normalized size 1 1.00 1.95 1.32 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.427 0.008 0.000 0.447 0.000 0.000 0.000
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 214 209 0 0 0 0 -1
normalized size 1 1.00 1.42 1.38 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.036 0.176 0.005 0.000 0.414 0.000 0.000 0.000
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 142 85 0 0 0 0 -1
normalized size 1 1.00 2.22 1.33 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.007 0.055 0.003 0.000 0.412 0.000 0.000 0.000
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 159 107 0 0 0 0 -1
normalized size 1 1.00 0.95 0.64 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.139 0.018 0.000 0.483 0.000 0.000 0.000
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 481 410 0 0 0 0 -1
normalized size 1 1.00 1.68 1.43 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.225 0.779 0.024 0.000 0.494 0.000 0.000 0.000
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 314 308 434 0 0 0 0 -1
normalized size 1 1.00 0.98 1.38 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.290 0.891 0.025 0.000 0.490 0.000 0.000 0.000
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 339 379 0 0 0 0 -1
normalized size 1 1.00 1.55 1.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.121 0.518 0.054 0.000 0.418 0.000 0.000 0.000
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 200 200 0 339 0 0 0 0 -1
normalized size 1 1.00 0.00 1.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.089 0.000 0.009 0.000 0.416 0.000 0.000 0.000
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 181 181 0 301 0 0 0 0 -1
normalized size 1 1.00 0.00 1.66 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.000 0.008 0.000 0.416 0.000 0.000 0.000
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 181 181 0 278 0 0 0 0 -1
normalized size 1 1.00 0.00 1.54 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.000 0.008 0.000 0.417 0.000 0.000 0.000
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) C F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 181 181 0 255 0 0 0 0 -1
normalized size 1 1.00 0.00 1.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.000 0.007 0.000 0.418 0.000 0.000 0.000
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 328 232 0 0 0 0 -1
normalized size 1 1.00 1.81 1.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.050 0.354 0.005 0.000 0.413 0.000 0.000 0.000
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 483 409 0 0 0 0 -1
normalized size 1 1.00 1.70 1.44 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.163 0.550 0.023 0.000 0.497 0.000 0.000 0.000
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 311 433 0 0 0 0 -1
normalized size 1 1.00 1.00 1.39 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.505 0.600 0.029 0.000 0.493 0.000 0.000 0.000
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 320 457 0 0 0 0 -1
normalized size 1 1.00 0.94 1.34 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.872 0.750 0.030 0.000 0.498 0.000 0.000 0.000
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 467 467 584 1186 0 0 0 0 -1
normalized size 1 1.00 1.25 2.54 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.425 2.871 0.022 0.000 0.449 0.000 0.000 0.000
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 488 756 0 0 0 0 -1
normalized size 1 1.00 1.37 2.12 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.191 1.615 0.008 0.000 0.414 0.000 0.000 0.000
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 302 362 0 0 0 0 -1
normalized size 1 1.00 1.07 1.28 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.083 0.257 0.005 0.000 0.409 0.000 0.000 0.000
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 401 401 214 200 0 0 0 0 -1
normalized size 1 1.00 0.53 0.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.346 0.220 0.036 0.000 45.979 0.000 0.000 0.000
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 718 718 1069 1279 0 0 0 0 -1
normalized size 1 1.00 1.49 1.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.081 1.863 0.036 0.000 125.492 0.000 0.000 0.000
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 553 553 596 1195 0 0 0 0 -1
normalized size 1 1.00 1.08 2.16 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.280 2.470 0.023 0.000 0.528 0.000 0.000 0.000
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 454 454 503 761 0 0 0 0 -1
normalized size 1 1.00 1.11 1.68 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.794 1.390 0.009 0.000 0.657 0.000 0.000 0.000
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 293 364 0 0 0 0 -1
normalized size 1 1.00 0.76 0.95 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.337 0.259 0.006 0.000 0.721 0.000 0.000 0.000
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 205 201 0 0 0 0 -1
normalized size 1 1.00 1.04 1.02 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 0.227 0.038 0.000 0.000 0.000 0.000 0.000
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 718 718 464 1293 0 0 0 0 -1
normalized size 1 1.00 0.65 1.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.015 5.530 0.036 0.000 0.000 0.000 0.000 0.000
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 479 479 304 355 0 0 0 0 -1
normalized size 1 1.00 0.63 0.74 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.475 0.302 0.033 0.000 1.105 0.000 0.000 0.000
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 216 198 0 0 0 0 -1
normalized size 1 1.00 1.06 0.97 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.192 0.223 0.033 0.000 76.165 0.000 0.000 0.000
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 295 357 0 0 0 0 -1
normalized size 1 1.00 1.01 1.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.090 0.306 0.035 0.000 0.634 0.000 0.000 0.000
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 207 199 0 0 0 0 -1
normalized size 1 1.00 0.50 0.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.363 0.221 0.033 0.000 0.000 0.000 0.000 0.000
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 154 380 0 0 0 0 -1
normalized size 1 1.00 0.67 1.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.154 0.230 0.011 0.000 0.550 0.000 0.000 0.000
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 127 235 0 0 0 0 -1
normalized size 1 1.00 0.76 1.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 0.157 0.010 0.000 0.549 0.000 0.000 0.000
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 73 108 0 0 0 0 -1
normalized size 1 1.00 0.60 0.89 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.034 0.074 0.005 0.000 0.831 0.000 0.000 0.000
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 59 55 0 0 0 0 -1
normalized size 1 1.00 0.48 0.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 0.110 0.025 0.000 1.120 0.000 0.000 0.000
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 399 175 443 0 0 0 0 -1
normalized size 1 1.26 0.55 1.40 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.327 0.599 0.031 0.000 1.926 0.000 0.000 0.000
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.011 0.098 0.096 0.000 1.215 0.000 0.000 0.000
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 498 498 373 0 0 0 0 0 -1
normalized size 1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.814 0.509 0.088 0.000 0.629 0.000 0.000 0.000
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 358 345 303 0 0 0 0 0 -1
normalized size 1 0.96 0.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.356 0.370 0.086 0.000 0.593 0.000 0.000 0.000
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 274 274 232 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.222 0.255 0.027 0.000 0.611 0.000 0.000 0.000
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 133 133 161 0 0 0 0 0 -1
normalized size 1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.156 0.015 0.000 0.427 0.000 0.000 0.000
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.011 0.129 0.093 0.000 0.454 0.000 0.000 0.000
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.011 0.260 0.115 0.000 0.457 0.000 0.000 0.000
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 446 446 258 251 0 0 0 0 -1
normalized size 1 1.00 0.58 0.56 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.497 0.684 0.021 0.000 0.000 0.000 0.000 0.000
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 719 247 0 0 0 0 -1
normalized size 1 1.00 3.30 1.13 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.295 1.260 0.020 0.000 0.000 0.000 0.000 0.000
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 65 65 685 327 0 323 0 0 -1
normalized size 1 1.00 10.54 5.03 0.00 4.97 0.00 0.00 -0.02
time (sec) N/A 0.145 3.068 0.166 0.000 1.583 0.000 0.000 0.000
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 63 63 876 311 0 112 0 0 -1
normalized size 1 1.00 13.90 4.94 0.00 1.78 0.00 0.00 -0.02
time (sec) N/A 0.141 7.827 0.161 0.000 1.267 0.000 0.000 0.000
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 623 336 0 328 0 0 -1
normalized size 1 1.00 8.65 4.67 0.00 4.56 0.00 0.00 -0.01
time (sec) N/A 0.133 1.732 0.161 0.000 1.551 0.000 0.000 0.000
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 70 70 881 337 0 114 0 0 -1
normalized size 1 1.00 12.59 4.81 0.00 1.63 0.00 0.00 -0.01
time (sec) N/A 0.129 6.386 0.154 0.000 1.411 0.000 0.000 0.000
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 560 560 3652 437 0 0 0 0 -1
normalized size 1 1.00 6.52 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.617 7.869 0.025 0.000 0.000 0.000 0.000 0.000
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 527 527 3658 439 0 0 0 0 -1
normalized size 1 1.00 6.94 0.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.717 7.866 0.024 0.000 0.000 0.000 0.000 0.000

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [147] had the largest ratio of [.7778]

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 9 6 1.00 17 0.353
2 A 9 6 1.00 18 0.333
3 A 3 3 1.00 18 0.167
4 A 3 3 1.00 19 0.158
5 A 5 3 1.00 17 0.176
6 A 3 2 1.00 17 0.118
7 A 2 2 1.00 17 0.118
8 A 2 2 1.00 17 0.118
9 A 5 3 1.00 27 0.111
10 A 3 2 1.00 28 0.071
11 A 5 3 1.00 21 0.143
12 A 3 2 1.00 22 0.091
13 A 3 3 1.00 15 0.200
14 A 2 2 1.00 22 0.091
15 A 5 5 1.00 23 0.217
16 A 3 3 1.00 21 0.143
17 A 6 6 1.00 22 0.273
18 A 1 1 1.00 22 0.045
19 A 3 3 1.00 21 0.143
20 A 1 1 1.00 23 0.043
21 A 3 3 1.00 22 0.136
22 A 1 1 1.00 28 0.036
23 A 2 2 1.00 24 0.083
24 A 4 4 1.00 28 0.143
25 A 5 5 1.00 25 0.200
26 A 5 3 1.00 26 0.115
27 A 5 3 1.00 26 0.115
28 A 5 3 1.00 27 0.111
29 A 5 3 1.00 27 0.111
30 A 3 2 1.00 27 0.074
31 A 3 2 1.00 27 0.074
32 A 3 2 1.00 28 0.071
33 A 3 2 1.00 28 0.071
34 A 3 2 1.00 30 0.067
35 A 5 3 1.00 29 0.103
36 A 6 4 1.00 29 0.138
37 A 3 2 1.00 32 0.062
38 A 5 3 1.00 31 0.097
39 A 5 3 1.00 22 0.136
40 A 5 3 1.00 23 0.130
41 A 3 2 1.00 22 0.091
42 A 3 2 1.00 22 0.091
43 A 3 3 1.00 22 0.136
44 A 5 3 1.00 22 0.136
45 A 5 3 1.00 22 0.136
46 A 5 3 1.00 20 0.150
47 A 5 3 1.00 17 0.176
48 A 5 3 1.00 22 0.136
49 A 5 3 1.00 22 0.136
50 A 5 3 1.00 22 0.136
51 A 2 2 1.00 22 0.091
52 A 7 3 1.00 22 0.136
53 A 5 3 1.00 22 0.136
54 A 3 2 1.00 22 0.091
55 A 3 2 1.00 22 0.091
56 A 3 2 1.00 22 0.091
57 A 2 2 1.00 22 0.091
58 A 3 2 1.00 22 0.091
59 A 3 2 1.00 22 0.091
60 A 3 2 1.00 20 0.100
61 A 3 2 1.00 17 0.118
62 A 3 2 1.00 22 0.091
63 A 3 2 1.00 22 0.091
64 A 3 2 1.00 22 0.091
65 A 3 3 1.00 22 0.136
66 A 7 3 1.00 22 0.136
67 A 5 3 1.00 22 0.136
68 A 5 3 1.00 18 0.167
69 A 3 2 1.00 18 0.111
70 A 3 2 1.00 18 0.111
71 A 3 2 1.00 18 0.111
72 A 2 2 1.00 18 0.111
73 A 5 3 1.00 16 0.188
74 A 5 3 1.00 13 0.231
75 A 5 3 1.00 18 0.167
76 A 2 2 1.00 18 0.111
77 A 7 3 1.00 18 0.167
78 A 5 3 1.00 18 0.167
79 A 5 3 1.00 18 0.167
80 A 3 2 1.00 20 0.100
81 A 3 2 1.00 20 0.100
82 A 3 2 1.00 20 0.100
83 A 3 2 1.00 20 0.100
84 A 2 2 1.00 20 0.100
85 A 3 2 1.00 18 0.111
86 A 3 2 1.00 15 0.133
87 A 3 2 1.00 20 0.100
88 A 3 3 1.00 20 0.150
89 A 5 3 1.00 20 0.150
90 A 5 3 1.00 20 0.150
91 A 5 3 1.00 20 0.150
92 A 5 3 1.00 23 0.130
93 A 5 3 1.00 22 0.136
94 A 3 3 1.00 20 0.150
95 A 3 2 1.00 22 0.091
96 A 3 2 1.00 22 0.091
97 A 3 2 1.00 18 0.111
98 A 9 5 1.00 18 0.278
99 A 10 6 1.00 18 0.333
100 A 9 5 1.00 18 0.278
101 A 10 6 1.00 18 0.333
102 A 9 5 1.00 29 0.172
103 A 9 5 1.00 26 0.192
104 A 9 5 1.00 24 0.208
105 A 9 5 1.00 22 0.227
106 A 9 5 1.00 25 0.200
107 A 9 5 1.00 31 0.161
108 A 9 5 1.00 32 0.156
109 A 9 5 1.00 23 0.217
110 A 9 5 1.00 25 0.200
111 A 9 5 1.00 29 0.172
112 A 9 5 1.00 32 0.156
113 A 4 4 1.00 22 0.182
114 A 5 5 1.00 24 0.208
115 A 4 4 1.00 24 0.167
116 A 4 4 1.00 24 0.167
117 A 4 4 1.00 24 0.167
118 A 4 4 1.00 24 0.167
119 A 3 3 1.00 39 0.077
120 A 2 1 1.00 17 0.059
121 A 2 1 1.00 17 0.059
122 A 2 1 1.00 17 0.059
123 A 2 1 1.00 15 0.067
124 A 3 2 1.00 17 0.118
125 A 3 3 1.00 17 0.176
126 A 3 3 1.00 17 0.176
127 A 4 4 1.00 17 0.235
128 A 2 1 1.00 19 0.053
129 A 2 1 1.00 19 0.053
130 A 2 1 1.00 17 0.059
131 A 2 1 1.00 9 0.111
132 A 3 2 1.00 19 0.105
133 A 4 3 1.00 19 0.158
134 A 5 4 1.00 19 0.210
135 A 5 5 1.00 19 0.263
136 A 5 5 1.00 19 0.263
137 A 11 7 1.00 19 0.368
138 A 11 7 1.00 19 0.368
139 A 11 7 1.00 19 0.368
140 A 9 6 1.00 17 0.353
141 A 9 6 1.00 9 0.667
142 A 12 8 1.00 19 0.421
143 A 14 9 1.00 19 0.474
144 A 11 8 1.00 19 0.421
145 A 11 8 1.00 19 0.421
146 A 10 7 1.00 17 0.412
147 A 10 7 1.00 9 0.778
148 A 22 9 1.00 19 0.474
149 A 24 10 1.00 19 0.526
150 A 6 5 0.99 21 0.238
151 A 5 5 1.00 21 0.238
152 A 4 4 1.00 21 0.190
153 A 3 3 1.00 19 0.158
154 A 3 3 1.00 21 0.143
155 A 6 6 1.00 21 0.286
156 A 7 7 1.00 21 0.333
157 A 8 8 1.00 22 0.364
158 A 7 7 1.00 22 0.318
159 A 6 6 1.00 20 0.300
160 A 2 2 1.00 22 0.091
161 A 10 10 1.00 22 0.454
162 A 11 11 1.00 22 0.500
163 A 12 11 1.00 22 0.500
164 A 6 6 1.00 21 0.286
165 A 2 2 1.00 23 0.087
166 A 3 3 1.00 29 0.103
167 A 3 3 1.00 29 0.103
168 A 3 3 1.00 22 0.136
169 A 3 3 1.00 24 0.125
170 A 2 2 1.00 21 0.095
171 A 3 3 1.00 21 0.143
172 A 1 1 1.00 22 0.045
173 A 3 3 1.00 21 0.143
174 F 0 0 N/A 0 N/A
175 A 0 0 0.00 0 0.000
176 A 9 6 0.96 19 0.316
177 A 7 6 0.95 19 0.316
178 A 6 5 1.00 17 0.294
179 A 2 2 1.00 9 0.222
180 A 6 5 1.00 19 0.263
181 A 8 5 1.00 19 0.263
182 A 6 4 0.95 19 0.210
183 A 5 4 0.92 19 0.210
184 A 4 3 1.00 17 0.176
185 A 1 1 1.00 9 0.111
186 A 4 3 1.00 19 0.158
187 A 5 3 1.00 19 0.158
188 A 6 3 1.00 19 0.158
189 A 4 3 1.00 24 0.125
190 A 4 3 1.00 24 0.125
191 A 3 3 1.00 24 0.125
192 A 2 2 1.00 22 0.091
193 A 5 5 1.00 24 0.208
194 A 6 6 1.00 24 0.250
195 A 6 6 1.00 26 0.231
196 A 3 3 1.00 26 0.115
197 A 4 4 1.00 26 0.154
198 A 6 6 1.00 26 0.231
199 A 5 5 1.00 28 0.179
200 A 4 4 1.00 28 0.143
201 A 3 3 1.00 28 0.107
202 A 3 3 1.00 28 0.107
203 A 4 4 1.00 28 0.143
204 A 6 6 1.00 28 0.214
205 A 5 5 1.00 29 0.172
206 A 4 4 1.00 29 0.138
207 A 3 3 1.00 29 0.103
208 A 3 3 1.00 29 0.103
209 A 4 4 1.00 29 0.138
210 A 6 6 1.00 29 0.207
211 A 2 2 1.00 19 0.105
212 A 3 3 1.67 19 0.158
213 A 7 5 0.99 31 0.161
214 A 4 3 1.00 39 0.077
215 A 4 3 1.00 39 0.077
216 A 3 3 1.00 39 0.077
217 A 2 2 1.00 37 0.054
218 A 5 5 1.00 39 0.128
219 A 6 6 1.00 39 0.154
220 A 7 7 1.00 41 0.171
221 A 6 6 1.00 41 0.146
222 A 3 3 1.00 41 0.073
223 A 4 4 1.00 41 0.098
224 A 6 6 1.00 41 0.146
225 A 6 6 1.00 20 0.300
226 A 5 5 1.00 20 0.250
227 A 4 4 1.00 18 0.222
228 A 8 7 1.00 20 0.350
229 A 1 1 1.00 20 0.050
230 A 23 13 1.00 20 0.650
231 A 26 14 1.00 20 0.700
232 A 5 5 1.00 20 0.250
233 A 4 4 1.00 20 0.200
234 A 3 3 1.00 18 0.167
235 A 4 4 1.00 20 0.200
236 A 8 8 1.00 20 0.400
237 A 9 9 1.00 20 0.450
238 A 4 4 1.00 20 0.200
239 A 2 2 1.00 20 0.100
240 A 2 2 1.00 18 0.111
241 A 9 8 1.00 20 0.400
242 A 16 11 1.00 20 0.550
243 A 23 14 1.00 20 0.700
244 A 2 1 1.00 22 0.045
245 A 2 1 1.00 22 0.045
246 A 2 1 1.00 22 0.045
247 A 2 1 1.00 20 0.050
248 A 3 2 1.00 22 0.091
249 A 3 3 1.00 22 0.136
250 A 3 3 1.00 22 0.136
251 A 4 4 1.00 22 0.182
252 A 2 1 1.00 24 0.042
253 A 2 1 1.00 24 0.042
254 A 2 1 1.00 22 0.045
255 A 2 1 1.00 14 0.071
256 A 3 2 1.00 24 0.083
257 A 4 3 1.00 24 0.125
258 A 5 4 1.00 24 0.167
259 A 5 4 1.00 24 0.167
260 A 5 4 1.00 24 0.167
261 A 3 3 1.00 22 0.136
262 A 3 3 1.00 23 0.130
263 A 5 3 1.00 24 0.125
264 A 5 3 1.00 24 0.125
265 A 5 3 1.00 24 0.125
266 A 3 2 1.00 22 0.091
267 A 3 2 1.00 14 0.143
268 A 6 3 1.00 24 0.125
269 A 8 4 1.00 24 0.167
270 A 4 3 1.00 24 0.125
271 A 4 3 1.00 24 0.125
272 A 4 3 1.00 22 0.136
273 A 4 3 1.00 14 0.214
274 A 10 4 1.00 24 0.167
275 A 12 5 1.00 24 0.208
276 A 7 5 1.00 24 0.208
277 A 6 5 1.00 24 0.208
278 A 5 5 1.00 24 0.208
279 A 4 4 1.00 24 0.167
280 A 4 4 1.00 24 0.167
281 A 4 4 1.00 24 0.167
282 A 4 4 1.00 24 0.167
283 A 5 5 1.00 24 0.208
284 A 6 5 0.99 24 0.208
285 A 7 5 1.00 24 0.208
286 A 6 6 1.00 24 0.250
287 A 5 5 1.00 24 0.208
288 A 4 4 1.00 22 0.182
289 A 4 4 1.00 14 0.286
290 A 8 7 1.30 24 0.292
291 A 8 7 1.00 24 0.292
292 A 25 10 1.00 24 0.417
293 A 7 6 1.00 24 0.250
294 A 6 5 1.00 24 0.208
295 A 5 4 1.00 22 0.182
296 A 5 5 1.00 14 0.357
297 A 13 8 1.00 24 0.333
298 A 21 10 1.50 24 0.417
299 A 27 10 1.25 24 0.417
300 A 5 5 1.00 24 0.208
301 A 4 4 1.00 24 0.167
302 A 3 3 1.00 22 0.136
303 A 1 1 1.00 14 0.071
304 A 4 4 1.00 24 0.167
305 A 9 8 1.00 24 0.333
306 A 10 9 1.00 24 0.375
307 A 6 5 1.00 24 0.208
308 A 5 5 1.00 24 0.208
309 A 4 4 1.00 24 0.167
310 A 4 4 1.00 24 0.167
311 A 4 4 1.00 22 0.182
312 A 4 4 1.00 14 0.286
313 A 9 8 1.20 24 0.333
314 A 19 10 1.00 24 0.417
315 A 29 11 1.00 24 0.458
316 A 8 7 1.00 24 0.292
317 A 7 7 1.00 24 0.292
318 A 6 6 1.00 24 0.250
319 A 5 5 1.00 22 0.227
320 A 5 5 1.00 14 0.357
321 A 7 7 1.00 24 0.292
322 A 7 7 1.00 24 0.292
323 A 21 10 1.00 24 0.417
324 A 9 7 1.00 24 0.292
325 A 8 7 1.00 24 0.292
326 A 7 6 1.00 24 0.250
327 A 6 5 1.00 22 0.227
328 A 6 6 1.00 14 0.429
329 A 13 8 1.00 24 0.333
330 A 21 13 1.00 24 0.542
331 A 27 13 1.00 24 0.542
332 A 6 6 1.00 24 0.250
333 A 5 5 1.00 24 0.208
334 A 4 4 1.00 22 0.182
335 A 2 2 1.00 14 0.143
336 A 2 2 1.00 24 0.083
337 A 8 8 1.00 24 0.333
338 A 9 9 1.00 24 0.375
339 A 7 6 1.00 24 0.250
340 A 6 6 1.00 24 0.250
341 A 5 5 1.00 24 0.208
342 A 5 5 1.00 24 0.208
343 A 5 5 1.00 22 0.227
344 A 5 5 1.00 14 0.357
345 A 8 8 1.00 24 0.333
346 A 17 10 1.00 24 0.417
347 A 26 11 1.00 24 0.458
348 A 7 6 1.00 24 0.250
349 A 6 6 1.00 24 0.250
350 A 5 5 1.00 24 0.208
351 A 4 4 1.00 22 0.182
352 A 4 4 1.00 14 0.286
353 A 7 6 1.00 24 0.250
354 A 7 6 1.00 24 0.250
355 A 18 9 1.00 24 0.375
356 A 8 6 1.00 24 0.250
357 A 7 6 1.00 24 0.250
358 A 6 5 1.00 24 0.208
359 A 5 4 1.00 22 0.182
360 A 5 5 1.00 14 0.357
361 A 12 7 1.00 24 0.292
362 A 19 11 1.22 24 0.458
363 A 22 10 1.00 24 0.417
364 A 5 5 1.00 24 0.208
365 A 4 4 1.00 24 0.167
366 A 3 3 1.00 22 0.136
367 A 1 1 1.00 14 0.071
368 A 3 3 1.00 24 0.125
369 A 6 6 1.00 24 0.250
370 A 7 7 1.00 24 0.292
371 A 6 5 1.00 24 0.208
372 A 5 5 1.00 24 0.208
373 A 4 4 1.00 24 0.167
374 A 4 4 1.00 24 0.167
375 A 4 4 1.00 22 0.182
376 A 4 4 1.00 14 0.286
377 A 8 7 1.00 24 0.292
378 A 15 10 1.00 24 0.417
379 A 22 11 1.00 24 0.458
380 A 5 5 1.00 26 0.192
381 A 4 4 1.00 26 0.154
382 A 3 3 1.00 24 0.125
383 A 3 3 1.00 26 0.115
384 A 6 6 1.00 26 0.231
385 A 6 6 1.00 27 0.222
386 A 5 5 1.00 27 0.185
387 A 4 4 1.00 25 0.160
388 A 2 2 1.00 27 0.074
389 A 8 8 1.00 27 0.296
390 A 5 5 1.00 26 0.192
391 A 2 2 1.00 28 0.071
392 A 3 3 1.00 27 0.111
393 A 3 3 1.00 29 0.103
394 A 5 5 1.00 24 0.208
395 A 4 4 1.00 24 0.167
396 A 3 3 1.00 22 0.136
397 A 4 4 1.00 24 0.167
398 A 9 8 1.26 24 0.333
399 A 0 0 0.00 0 0.000
400 A 8 7 1.00 24 0.292
401 A 7 6 0.96 24 0.250
402 A 6 5 1.00 22 0.227
403 A 2 2 1.00 14 0.143
404 A 0 0 0.00 0 0.000
405 A 0 0 0.00 0 0.000
406 A 8 8 1.00 24 0.333
407 A 10 10 1.00 26 0.385
408 A 2 2 1.00 40 0.050
409 A 2 2 1.00 40 0.050
410 A 2 2 1.00 46 0.043
411 A 2 2 1.00 46 0.043
412 A 8 8 1.00 29 0.276
413 A 10 10 1.00 31 0.323

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