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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 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, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 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, 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, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 214, 215, 216, 217, 218, 219, 220, 223, 226, 227, 228, 229, 230, 232, 233, 241, 242, 243, 245, 246, 247, 249, 250, 251, 252, 253, 260, 261, 262, 263, 264, 265, 272, 273, 274, 275, 276, 277, 278, 282, 283, 284, 285, 286, 287, 288, 289, 293, 294, 295, 296, 297, 298, 299, 300, 305, 306, 307, 308, 309, 310, 311, 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, 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, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 432, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456 }

B grade: { 56, 65, 115, 121, 213, 236, 237, 238, 239, 240, 244, 363, 430, 431 }

C grade: { 221, 222, 224, 225, 231, 234, 235, 248, 254, 255, 256, 257, 258, 259, 266, 267, 268, 269, 270, 271, 279, 280, 281, 290, 291, 292, 301, 302, 303, 304, 312 }

F grade: { 433, 434, 435, 436, 437, 438, 439 }

2.1.3 Maple

A grade: { 4, 5, 74, 75, 127, 128, 129, 147, 157, 158, 159, 160, 161, 166, 167, 168, 170, 241, 243, 244, 249, 250, 275, 322, 323, 327, 328, 337, 338, 339, 340, 341, 343, 344, 345, 346, 347, 348, 349, 406, 407, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 420, 444, 445, 452, 453 }

B grade: { 245, 342 }

C grade: { 1, 2, 3, 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, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 95, 96, 103, 109, 110, 115, 116, 117, 121, 162, 163, 164, 165, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 242, 246, 317, 318, 319, 320, 321, 326, 329, 330, 331, 332, 333, 334, 335, 336, 351, 352, 353, 354, 359, 360, 361, 362, 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, 408, 415, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 440, 441, 442, 443, 454, 455 }

F grade: { 92, 93, 94, 97, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 111, 112, 113, 114, 118, 119, 120, 122, 123, 124, 125, 126, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 148, 149, 150, 151, 152, 153, 154, 155, 156, 169, 247, 248, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 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, 324, 325, 350, 355, 356, 357, 358, 363, 364, 365, 366, 431, 432, 433, 434, 435, 436, 437, 438, 439, 446, 447, 448, 449, 450, 451, 456 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 42, 49, 57, 58, 67, 68, 69, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 120, 127, 128, 129, 130, 131, 132, 133, 137, 138, 139, 140, 144, 145, 146, 147, 151, 152, 153, 154, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 223, 233, 244, 249, 250, 251, 252, 253, 260, 263, 264, 265, 272, 275, 276, 277, 278, 283, 286, 287, 288, 289, 293, 297, 298, 299, 300, 309, 310, 315, 317, 318, 319, 320, 321, 322, 323, 327, 328, 337, 338, 339, 340, 341, 342, 343, 344, 351, 352, 353, 354, 356, 357, 358, 359, 360, 361, 362, 367, 368, 369, 370, 373, 374, 375, 379, 380, 381, 382, 385, 386, 387, 392, 393, 394, 395, 398, 399, 400, 406, 407, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 421, 422, 423, 427, 428, 429, 440, 441, 442, 443, 444, 445 }

B grade: { 48, 56, 65, 66, 70, 74, 75, 232, 241, 242, 243, 345, 346, 347, 348, 349, 454 }

C grade: { }

F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 59, 60, 61, 62, 63, 64, 71, 72, 73, 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, 121, 122, 123, 124, 125, 126, 134, 135, 136, 141, 142, 143, 148, 149, 150, 155, 156, 169, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 229, 230, 231, 234, 235, 236, 237, 238, 239, 240, 245, 246, 247, 248, 254, 255, 256, 257, 258, 259, 261, 262, 266, 267, 268, 269, 270, 271, 273, 274, 279, 280, 281, 282, 284, 285, 290, 291, 292, 294, 295, 296, 301, 302, 303, 304, 305, 306, 307, 308, 311, 312, 313, 314, 316, 324, 325, 326, 329, 330, 331, 332, 333, 334, 335, 336, 350, 355, 363, 364, 365, 366, 371, 372, 376, 377, 378, 383, 384, 388, 389, 390, 391, 396, 397, 401, 402, 403, 404, 405, 408, 415, 420, 424, 425, 426, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 446, 447, 448, 449, 450, 451, 452, 453, 455, 456 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 42, 49, 57, 58, 67, 68, 74, 75, 81, 82, 83, 130, 131, 132, 133, 137, 138, 139, 140, 144, 145, 146, 147, 151, 152, 153, 154, 157, 158, 159, 160, 161, 165, 166, 167, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 223, 233, 241, 242, 249, 250, 251, 252, 253, 260, 261, 262, 263, 264, 265, 272, 273, 274, 275, 276, 277, 278, 283, 284, 285, 286, 287, 288, 289, 293, 294, 295, 296, 297, 298, 299, 300, 305, 306, 307, 308, 309, 310, 315, 316, 317, 321, 322, 323, 327, 328, 348, 349, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 364, 370, 382, 395, 406, 407, 408, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 420, 421, 422, 423, 424, 443, 444, 445, 452, 453 }

B grade: { 22, 48, 56, 65, 66, 69, 70, 76, 77, 78, 79, 80, 84, 85, 86, 87, 88, 89, 90, 91, 162, 163, 164, 198, 232, 318, 319, 320, 345, 346, 347, 350, 365, 366, 367, 368, 369, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 415, 425, 426, 427, 428, 429, 440, 441, 442, 454 }

C grade: { 363, 430, 431, 432 }

F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 59, 60, 61, 62, 63, 64, 71, 72, 73, 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, 134, 135, 136, 141, 142, 143, 148, 149, 150, 155, 156, 169, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 229, 230, 231, 234, 235, 236, 237, 238, 239, 240, 243, 244, 245, 246, 247, 248, 254, 255, 256, 257, 258, 259, 266, 267, 268, 269, 270, 271, 279, 280, 281, 282, 290, 291, 292, 301, 302, 303, 304, 311, 312, 313, 314, 324, 325, 326, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 433, 434, 435, 436, 437, 438, 439, 446, 447, 448, 449, 450, 451, 455, 456 }

2.1.6 Sympy

A grade: { 4, 5, 6, 7, 8, 13, 14, 15, 16, 17, 18, 21, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 80, 89, 120, 127, 128, 129, 131, 132, 133, 140, 147, 151, 152, 153, 154, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 179, 180, 181, 182, 186, 187, 188, 191, 192, 193, 194, 195, 197, 199, 200, 201, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 221, 223, 231, 242, 249, 253, 275, 278, 288, 289, 299, 317, 319, 320, 321, 322, 329, 330, 331, 332, 335, 336, 337, 338, 339, 340, 343, 344, 354, 362, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 380, 381, 382, 383, 384, 387, 388, 389, 395, 396, 400, 401, 402, 406, 407, 409, 410, 411, 412, 413, 414, 417, 418, 419, 421, 422, 423, 427, 428, 429, 442, 443, 444, 445, 454 }

B grade: { 1, 2, 3, 9, 10, 11, 12, 19, 20, 22, 27, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 130, 137, 138, 139, 171, 172, 173, 177, 178, 183, 184, 185, 189, 190, 196, 198, 202, 203, 300 }

C grade: { 35, 241, 334, 342, 348, 349 }

F grade: { 34, 41, 43, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 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, 121, 122, 123, 124, 125, 126, 134, 135, 136, 141, 142, 143, 144, 145, 146, 148, 149, 150, 155, 156, 214, 215, 216, 217, 218, 219, 220, 222, 224, 225, 226, 227, 228, 229, 230, 232, 233, 234, 235, 236, 237, 238, 239, 240, 243, 244, 245, 246, 247, 248, 250, 251, 252, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 276, 277, 279, 280, 281, 282, 283, 284, 285, 286, 287, 290, 291, 292, 293, 294, 295, 296, 297, 298, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 318, 323, 324, 325, 326, 327, 328, 333, 341, 345, 346, 347, 350, 351, 352, 353, 355, 356, 357, 358, 359, 360, 361, 363, 364, 365, 366, 379, 385, 386, 390, 391, 392, 393, 394, 397, 398, 399, 403, 404, 405, 408, 415, 416, 420, 424, 425, 426, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 446, 447, 448, 449, 450, 451, 452, 453, 455, 456 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 42, 49, 57, 67, 127, 128, 129, 144, 145, 146, 147, 153, 154, 157, 158, 159, 160, 161, 166, 167, 168, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 223, 233, 249, 250, 251, 252, 253, 275, 317, 322, 323, 327, 328, 352, 353, 370, 382, 395, 406, 407, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 421, 422, 423, 444, 445, 452, 453 }

B grade: { 22, 48, 56, 58, 65, 66, 68, 69, 70, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 162, 163, 164, 165, 198, 232, 318, 319, 320, 321, 351, 354, 356, 357, 358, 359, 360, 361, 362, 367, 368, 369, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 385, 386, 387, 392, 393, 394, 398, 399, 400, 427, 428, 429, 440, 441, 442, 443, 454 }

C grade: { }

F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 59, 60, 61, 62, 63, 64, 71, 72, 73, 74, 75, 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, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 148, 149, 150, 151, 152, 155, 156, 169, 170, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 229, 230, 231, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 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, 324, 325, 326, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 355, 363, 364, 365, 366, 383, 384, 388, 389, 390, 391, 396, 397, 401, 402, 403, 404, 405, 408, 415, 420, 424, 425, 426, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 446, 447, 448, 449, 450, 451, 455, 456 }

2.1.8 Mupad

A grade: { 127, 128, 129, 157, 158, 159, 160, 161, 166, 167, 168, 170, 249, 250, 322, 323, 327, 328, 406, 407, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 444, 445, 452, 453 }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 42, 48, 49, 56, 57, 58, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 223, 232, 233, 241, 242, 243, 244, 345, 346, 347, 348, 349, 454 }

C grade: { }

F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 59, 60, 61, 62, 63, 64, 71, 72, 73, 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, 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, 162, 163, 164, 165, 169, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 229, 230, 231, 234, 235, 236, 237, 238, 239, 240, 245, 246, 247, 248, 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, 324, 325, 326, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 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, 408, 415, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 446, 447, 448, 449, 450, 451, 455, 456 }

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 C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 264 57 69 87 73 51
normalized size 1 1.00 1.00 5.50 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.052 0.045 0.207 0.570 0.435 2.291 0.302 3.643
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 45 264 57 69 87 73 51
normalized size 1 1.00 0.94 5.50 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.050 0.025 0.212 0.509 0.489 1.463 0.361 3.588
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 264 57 69 87 73 51
normalized size 1 1.00 1.00 5.50 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.036 0.022 0.220 0.514 0.432 0.875 0.307 3.631
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 41 55 52 49 61 73 62 43
normalized size 1 0.85 1.15 1.08 1.02 1.27 1.52 1.29 0.90
time (sec) N/A 0.016 0.002 0.055 0.729 0.428 0.509 0.273 3.608
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 46 41 45 58 49 40
normalized size 1 1.00 0.98 1.05 0.93 1.02 1.32 1.11 0.91
time (sec) N/A 0.049 0.002 0.058 0.740 0.424 0.513 0.234 3.590
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 43 48 250 49 50 53 56 59
normalized size 1 0.90 1.00 5.21 1.02 1.04 1.10 1.17 1.23
time (sec) N/A 0.050 0.027 0.236 0.829 0.468 4.977 0.334 3.568
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 41 232 57 53 75 57 47
normalized size 1 1.00 0.68 3.87 0.95 0.88 1.25 0.95 0.78
time (sec) N/A 0.049 0.024 0.149 0.643 0.464 1.039 0.319 3.702
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 48 47 235 57 57 88 58 49
normalized size 1 0.84 0.82 4.12 1.00 1.00 1.54 1.02 0.86
time (sec) N/A 0.045 0.025 0.155 0.608 0.440 1.644 0.260 3.465
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 81 432 100 118 158 123 82
normalized size 1 1.00 1.09 5.84 1.35 1.59 2.14 1.66 1.11
time (sec) N/A 0.090 0.054 0.223 0.667 0.437 3.917 0.389 3.688
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 81 432 100 118 151 123 82
normalized size 1 1.00 1.09 5.84 1.35 1.59 2.04 1.66 1.11
time (sec) N/A 0.080 0.041 0.221 0.604 0.417 2.543 0.262 3.490
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 81 432 100 118 158 123 82
normalized size 1 1.00 1.09 5.84 1.35 1.59 2.14 1.66 1.11
time (sec) N/A 0.063 0.040 0.229 0.757 0.553 1.623 0.286 3.634
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 77 414 90 110 133 109 73
normalized size 1 1.00 1.10 5.91 1.29 1.57 1.90 1.56 1.04
time (sec) N/A 0.038 0.046 0.257 0.872 0.570 0.984 0.233 3.605
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 63 83 410 84 98 128 100 75
normalized size 1 0.79 1.04 5.12 1.05 1.22 1.60 1.25 0.94
time (sec) N/A 0.071 0.049 0.323 0.596 0.615 0.996 0.279 3.568
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 61 76 419 83 98 109 101 99
normalized size 1 0.78 0.97 5.37 1.06 1.26 1.40 1.29 1.27
time (sec) N/A 0.076 0.059 0.319 0.529 0.643 1.009 0.298 3.659
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 67 84 418 90 101 99 105 99
normalized size 1 0.80 1.00 4.98 1.07 1.20 1.18 1.25 1.18
time (sec) N/A 0.079 0.059 0.244 0.507 0.506 6.465 0.287 3.693
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 76 401 100 103 134 108 82
normalized size 1 1.00 1.01 5.35 1.33 1.37 1.79 1.44 1.09
time (sec) N/A 0.071 0.042 0.169 0.596 0.593 1.818 0.288 3.591
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 74 80 403 100 106 160 108 85
normalized size 1 0.78 0.84 4.24 1.05 1.12 1.68 1.14 0.89
time (sec) N/A 0.076 0.044 0.169 0.640 0.723 2.753 0.323 3.732
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 74 80 403 100 106 153 108 85
normalized size 1 0.78 0.84 4.24 1.05 1.12 1.61 1.14 0.89
time (sec) N/A 0.076 0.041 0.169 0.618 0.887 4.201 0.283 3.632
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 133 600 143 167 223 173 113
normalized size 1 1.00 1.33 6.00 1.43 1.67 2.23 1.73 1.13
time (sec) N/A 0.106 0.067 0.225 0.859 0.953 6.490 0.251 3.577
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 133 600 143 167 230 173 113
normalized size 1 1.00 1.33 6.00 1.43 1.67 2.30 1.73 1.13
time (sec) N/A 0.102 0.052 0.230 0.604 0.546 4.311 0.287 3.643
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 130 598 141 167 218 170 112
normalized size 1 1.00 1.07 4.90 1.16 1.37 1.79 1.39 0.92
time (sec) N/A 0.091 0.124 0.238 0.744 0.507 2.829 0.395 3.612
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 110 571 133 159 204 159 104
normalized size 1 1.00 1.29 6.72 1.56 1.87 2.40 1.87 1.22
time (sec) N/A 0.043 0.046 0.264 0.697 0.506 1.805 0.317 3.570
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 94 123 579 127 149 199 150 106
normalized size 1 0.77 1.01 4.75 1.04 1.22 1.63 1.23 0.87
time (sec) N/A 0.088 0.063 0.304 0.629 0.543 1.863 0.295 3.642
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 92 118 588 127 149 182 154 154
normalized size 1 0.77 0.99 4.94 1.07 1.25 1.53 1.29 1.29
time (sec) N/A 0.088 0.082 0.332 0.566 0.573 1.869 0.299 3.652
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 91 115 586 125 150 182 154 139
normalized size 1 0.77 0.97 4.97 1.06 1.27 1.54 1.31 1.18
time (sec) N/A 0.091 0.081 0.334 0.630 0.560 1.970 0.285 3.594
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 98 122 589 133 151 144 155 136
normalized size 1 0.78 0.97 4.67 1.06 1.20 1.14 1.23 1.08
time (sec) N/A 0.108 0.081 0.258 0.616 0.409 8.054 0.289 3.722
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 109 569 143 152 206 158 118
normalized size 1 1.00 1.21 6.32 1.59 1.69 2.29 1.76 1.31
time (sec) N/A 0.082 0.055 0.178 0.668 0.424 2.990 0.322 3.711
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 133 113 571 143 155 219 158 120
normalized size 1 0.94 0.80 4.02 1.01 1.09 1.54 1.11 0.85
time (sec) N/A 0.098 0.054 0.185 0.533 0.487 4.654 0.364 3.584
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 100 113 571 143 155 231 158 121
normalized size 1 0.75 0.85 4.29 1.08 1.17 1.74 1.19 0.91
time (sec) N/A 0.096 0.055 0.184 0.613 0.483 7.116 0.309 3.739
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 100 113 571 143 155 224 158 121
normalized size 1 0.75 0.85 4.29 1.08 1.17 1.68 1.19 0.91
time (sec) N/A 0.106 0.057 0.184 0.566 0.470 10.561 0.459 3.593
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 142 693 0 0 248 0 -1
normalized size 1 1.00 0.96 4.68 0.00 0.00 1.68 0.00 -0.01
time (sec) N/A 0.177 0.081 0.230 0.000 0.490 38.895 0.000 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 105 521 0 0 199 0 -1
normalized size 1 1.00 0.98 4.87 0.00 0.00 1.86 0.00 -0.01
time (sec) N/A 0.136 0.050 0.208 0.000 0.497 32.811 0.000 0.000
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 66 343 0 0 144 0 -1
normalized size 1 1.00 0.96 4.97 0.00 0.00 2.09 0.00 -0.01
time (sec) N/A 0.094 0.033 0.232 0.000 0.487 13.683 0.000 0.000
Problem 34 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 39 39 37 195 0 0 0 0 -1
normalized size 1 1.00 0.95 5.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.026 0.007 0.206 0.000 0.483 0.000 0.000 0.000
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 66 63 336 0 0 158 0 -1
normalized size 1 1.50 1.43 7.64 0.00 0.00 3.59 0.00 -0.02
time (sec) N/A 0.091 0.035 0.180 0.000 0.517 14.873 0.000 0.000
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 95 88 504 0 0 197 0 -1
normalized size 1 1.28 1.19 6.81 0.00 0.00 2.66 0.00 -0.01
time (sec) N/A 0.145 0.089 0.188 0.000 0.535 61.192 0.000 0.000
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 135 124 689 0 0 246 0 -1
normalized size 1 1.23 1.13 6.26 0.00 0.00 2.24 0.00 -0.01
time (sec) N/A 0.171 0.209 0.193 0.000 0.512 77.202 0.000 0.000
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 173 159 868 0 0 296 0 -1
normalized size 1 1.15 1.06 5.79 0.00 0.00 1.97 0.00 -0.01
time (sec) N/A 0.212 0.208 0.195 0.000 0.523 91.862 0.000 0.000
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 151 141 739 0 0 304 0 -1
normalized size 1 0.99 0.93 4.86 0.00 0.00 2.00 0.00 -0.01
time (sec) N/A 0.181 0.141 0.210 0.000 0.506 58.730 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 106 98 558 0 0 250 0 -1
normalized size 1 1.08 1.00 5.69 0.00 0.00 2.55 0.00 -0.01
time (sec) N/A 0.143 0.091 0.203 0.000 0.465 30.047 0.000 0.000
Problem 41 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 65 74 71 389 0 0 0 0 -1
normalized size 1 1.14 1.09 5.98 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.108 0.062 0.179 0.000 0.470 0.000 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 41 173 63 51 187 58 54
normalized size 1 1.00 1.05 4.44 1.62 1.31 4.79 1.49 1.38
time (sec) N/A 0.019 0.030 0.198 0.535 0.472 2.349 0.293 4.557
Problem 43 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 80 102 96 521 0 0 0 0 -1
normalized size 1 1.28 1.20 6.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.160 0.078 0.191 0.000 0.469 0.000 0.000 0.000
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 134 120 703 0 0 299 0 -1
normalized size 1 1.18 1.05 6.17 0.00 0.00 2.62 0.00 -0.01
time (sec) N/A 0.179 0.140 0.197 0.000 0.473 65.880 0.000 0.000
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 178 165 910 0 0 357 0 -1
normalized size 1 1.16 1.07 5.91 0.00 0.00 2.32 0.00 -0.01
time (sec) N/A 0.213 0.219 0.205 0.000 0.548 124.815 0.000 0.000
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 167 150 764 0 0 372 0 -1
normalized size 1 1.12 1.01 5.13 0.00 0.00 2.50 0.00 -0.01
time (sec) N/A 0.216 0.140 0.210 0.000 0.562 48.374 0.000 0.000
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 132 122 596 0 0 328 0 -1
normalized size 1 1.23 1.14 5.57 0.00 0.00 3.07 0.00 -0.01
time (sec) N/A 0.183 0.116 0.180 0.000 0.555 45.234 0.000 0.000
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 75 349 114 115 456 122 108
normalized size 1 1.00 1.21 5.63 1.84 1.85 7.35 1.97 1.74
time (sec) N/A 0.050 0.120 0.217 0.605 0.576 6.044 0.390 4.029
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 53 235 99 107 515 120 91
normalized size 1 1.00 0.70 3.09 1.30 1.41 6.78 1.58 1.20
time (sec) N/A 0.034 0.058 0.198 0.561 0.593 6.632 0.304 4.055
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 156 141 703 0 0 335 0 -1
normalized size 1 1.16 1.05 5.25 0.00 0.00 2.50 0.00 -0.01
time (sec) N/A 0.250 0.131 0.197 0.000 0.771 98.139 0.000 0.000
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 193 173 894 0 0 425 0 -1
normalized size 1 1.13 1.01 5.23 0.00 0.00 2.49 0.00 -0.01
time (sec) N/A 0.248 0.177 0.204 0.000 0.764 104.143 0.000 0.000
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 239 227 1119 0 0 478 0 -1
normalized size 1 1.10 1.05 5.16 0.00 0.00 2.20 0.00 -0.00
time (sec) N/A 0.274 0.432 0.217 0.000 0.668 110.201 0.000 0.000
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 260 249 1153 0 0 598 0 -1
normalized size 1 1.14 1.09 5.03 0.00 0.00 2.61 0.00 -0.00
time (sec) N/A 0.320 0.311 0.228 0.000 0.578 133.883 0.000 0.000
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 211 207 969 0 0 544 0 -1
normalized size 1 1.15 1.13 5.30 0.00 0.00 2.97 0.00 -0.01
time (sec) N/A 0.281 0.227 0.220 0.000 0.717 71.889 0.000 0.000
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 178 179 801 0 0 500 0 -1
normalized size 1 1.26 1.27 5.68 0.00 0.00 3.55 0.00 -0.01
time (sec) N/A 0.254 0.238 0.190 0.000 0.763 70.469 0.000 0.000
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 172 553 179 178 748 193 167
normalized size 1 1.00 2.18 7.00 2.27 2.25 9.47 2.44 2.11
time (sec) N/A 0.071 0.120 0.234 0.665 0.699 15.670 0.296 4.021
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 135 403 150 162 796 176 141
normalized size 1 1.00 1.15 3.44 1.28 1.38 6.80 1.50 1.21
time (sec) N/A 0.087 0.098 0.242 0.661 0.642 15.687 0.292 3.859
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 66 284 144 160 882 179 127
normalized size 1 1.00 0.69 2.99 1.52 1.68 9.28 1.88 1.34
time (sec) N/A 0.041 0.086 0.205 0.576 0.768 16.080 0.299 3.853
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 196 222 884 0 0 493 0 -1
normalized size 1 1.13 1.28 5.08 0.00 0.00 2.83 0.00 -0.01
time (sec) N/A 0.357 0.182 0.203 0.000 0.769 147.344 0.000 0.000
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 231 231 1083 0 0 595 0 -1
normalized size 1 1.09 1.09 5.13 0.00 0.00 2.82 0.00 -0.00
time (sec) N/A 0.300 0.276 0.207 0.000 0.589 141.375 0.000 0.000
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 285 276 1324 0 0 649 0 -1
normalized size 1 1.08 1.05 5.03 0.00 0.00 2.47 0.00 -0.00
time (sec) N/A 0.346 0.381 0.214 0.000 0.709 148.347 0.000 0.000
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 394 403 1768 0 0 0 0 -1
normalized size 1 1.20 1.22 5.37 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.639 0.467 0.242 0.000 0.867 0.000 0.000 0.000
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 351 356 1584 0 0 0 0 -1
normalized size 1 1.23 1.25 5.56 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.571 0.517 0.237 0.000 0.638 0.000 0.000 0.000
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 316 333 1416 0 0 0 0 -1
normalized size 1 1.30 1.37 5.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.538 0.457 0.202 0.000 0.770 0.000 0.000 0.000
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 335 1165 377 361 0 388 341
normalized size 1 1.00 2.46 8.57 2.77 2.65 0.00 2.85 2.51
time (sec) N/A 0.110 0.294 0.285 0.656 0.785 0.000 0.307 4.479
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 316 1022 358 356 0 382 320
normalized size 1 1.00 1.94 6.27 2.20 2.18 0.00 2.34 1.96
time (sec) N/A 0.129 0.322 0.270 0.759 0.774 0.000 0.345 4.259
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 281 867 338 343 0 372 296
normalized size 1 1.00 1.24 3.84 1.50 1.52 0.00 1.65 1.31
time (sec) N/A 0.204 0.236 0.288 0.868 0.542 0.000 0.360 4.230
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 192 712 316 333 0 362 275
normalized size 1 1.00 0.96 3.58 1.59 1.67 0.00 1.82 1.38
time (sec) N/A 0.165 0.215 0.273 0.675 0.764 0.000 0.338 3.931
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 160 557 294 323 0 352 251
normalized size 1 1.00 0.92 3.20 1.69 1.86 0.00 2.02 1.44
time (sec) N/A 0.118 0.148 0.250 0.597 0.805 0.000 0.337 4.043
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 99 431 276 310 0 344 232
normalized size 1 1.00 0.65 2.84 1.82 2.04 0.00 2.26 1.53
time (sec) N/A 0.065 0.146 0.211 0.892 0.846 0.000 0.306 3.929
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 316 349 1427 0 0 0 0 -1
normalized size 1 1.07 1.19 4.85 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.726 0.372 0.217 0.000 0.823 0.000 0.000 0.000
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 339 361 401 1650 0 0 0 0 -1
normalized size 1 1.06 1.18 4.87 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.581 0.613 0.230 0.000 0.735 0.000 0.000 0.000
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 401 423 486 1939 0 0 0 0 -1
normalized size 1 1.05 1.21 4.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.637 0.627 0.232 0.000 0.881 0.000 0.000 0.000
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 48 11 0 0 8
normalized size 1 1.00 1.00 0.75 4.00 0.92 0.00 0.00 0.67
time (sec) N/A 0.011 0.003 0.036 0.540 0.839 0.000 0.000 3.462
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 11 7 45 9 0 0 6
normalized size 1 1.00 1.10 0.70 4.50 0.90 0.00 0.00 0.60
time (sec) N/A 0.011 0.002 0.033 0.571 0.597 0.000 0.000 3.503
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 82 1622 151 219 309 251 116
normalized size 1 1.00 0.75 14.88 1.39 2.01 2.83 2.30 1.06
time (sec) N/A 0.143 0.060 0.284 0.595 0.706 2.748 0.389 3.583
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 82 1621 150 219 304 248 116
normalized size 1 1.00 0.75 14.87 1.38 2.01 2.79 2.28 1.06
time (sec) N/A 0.112 0.056 0.270 0.559 0.688 1.799 0.258 3.531
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 77 1548 136 200 270 225 104
normalized size 1 1.00 0.76 15.33 1.35 1.98 2.67 2.23 1.03
time (sec) N/A 0.072 0.049 0.277 0.594 0.449 1.102 0.348 3.678
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 59 1555 101 144 204 169 85
normalized size 1 1.00 0.84 22.21 1.44 2.06 2.91 2.41 1.21
time (sec) N/A 0.083 0.022 0.450 0.730 0.443 1.048 0.347 3.432
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 63 1544 114 149 182 172 138
normalized size 1 1.00 0.88 21.44 1.58 2.07 2.53 2.39 1.92
time (sec) N/A 0.117 0.038 0.429 0.833 0.431 6.634 0.305 3.733
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 90 1483 150 179 272 205 109
normalized size 1 1.00 0.87 14.40 1.46 1.74 2.64 1.99 1.06
time (sec) N/A 0.134 0.048 0.242 0.567 0.833 1.284 0.290 3.537
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 82 1486 151 187 306 206 114
normalized size 1 1.00 0.75 13.63 1.39 1.72 2.81 1.89 1.05
time (sec) N/A 0.133 0.060 0.249 0.611 0.561 2.028 0.337 3.794
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 82 1486 151 188 311 206 114
normalized size 1 1.00 0.75 13.63 1.39 1.72 2.85 1.89 1.05
time (sec) N/A 0.135 0.057 0.259 0.742 0.667 3.068 0.306 3.508
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 149 2597 250 364 517 408 180
normalized size 1 1.00 0.84 14.59 1.40 2.04 2.90 2.29 1.01
time (sec) N/A 0.218 0.100 0.316 0.597 0.429 4.825 0.383 3.742
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 134 2597 250 363 510 408 179
normalized size 1 1.00 0.75 14.59 1.40 2.04 2.87 2.29 1.01
time (sec) N/A 0.181 0.095 0.319 0.523 0.475 3.269 0.324 3.620
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 141 135 2565 235 347 478 385 166
normalized size 1 0.82 0.78 14.83 1.36 2.01 2.76 2.23 0.96
time (sec) N/A 0.127 0.084 0.418 0.588 0.782 2.185 0.363 3.495
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 114 2543 198 293 398 321 152
normalized size 1 1.00 0.83 18.56 1.45 2.14 2.91 2.34 1.11
time (sec) N/A 0.231 0.040 0.512 0.592 0.702 2.107 0.343 3.775
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 107 2521 200 291 384 329 228
normalized size 1 1.00 0.80 18.95 1.50 2.19 2.89 2.47 1.71
time (sec) N/A 0.172 0.043 0.559 0.630 0.608 2.063 0.405 3.744
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 117 2520 210 291 357 325 221
normalized size 1 1.00 0.85 18.39 1.53 2.12 2.61 2.37 1.61
time (sec) N/A 0.192 0.085 0.512 0.690 0.605 9.290 0.443 3.767
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 131 2473 250 326 479 366 184
normalized size 1 1.00 0.78 14.72 1.49 1.94 2.85 2.18 1.10
time (sec) N/A 0.208 0.096 0.305 0.739 0.814 2.406 0.443 3.896
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 134 2475 251 332 512 366 188
normalized size 1 1.00 0.75 13.90 1.41 1.87 2.88 2.06 1.06
time (sec) N/A 0.205 0.098 0.327 0.803 0.590 3.495 0.363 3.670
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 211 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.276 0.173 0.722 0.000 0.483 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 158 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.217 0.105 0.713 0.000 0.673 0.000 0.000 0.000
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 103 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.155 0.068 0.677 0.000 0.600 0.000 0.000 0.000
Problem 95 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 72 72 68 1412 0 0 0 0 -1
normalized size 1 1.00 0.94 19.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.061 0.026 0.358 0.000 0.558 0.000 0.000 0.000
Problem 96 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 79 98 94 2315 0 0 0 0 -1
normalized size 1 1.24 1.19 29.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 0.066 0.474 0.000 0.503 0.000 0.000 0.000
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 155 130 0 0 0 0 0 -1
normalized size 1 1.15 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.242 0.123 0.711 0.000 0.492 0.000 0.000 0.000
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 226 185 0 0 0 0 0 -1
normalized size 1 1.11 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.292 0.139 0.749 0.000 0.804 0.000 0.000 0.000
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 273 295 237 0 0 0 0 0 -1
normalized size 1 1.08 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.357 0.137 0.768 0.000 0.490 0.000 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 240 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 0.310 0.205 0.693 0.000 0.667 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 186 0 0 0 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.261 0.162 0.776 0.000 0.536 0.000 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 142 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.125 0.730 0.000 0.565 0.000 0.000 0.000
Problem 103 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 77 77 81 755 0 0 0 0 -1
normalized size 1 1.00 1.05 9.81 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.048 0.266 0.000 0.549 0.000 0.000 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 170 166 0 0 0 0 0 -1
normalized size 1 1.13 1.10 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.308 0.167 0.763 0.000 0.546 0.000 0.000 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 231 223 0 0 0 0 0 -1
normalized size 1 1.09 1.06 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.315 0.318 0.726 0.000 0.573 0.000 0.000 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 304 268 0 0 0 0 0 -1
normalized size 1 1.07 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.377 0.190 0.764 0.000 0.558 0.000 0.000 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 296 258 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.490 0.269 0.747 0.000 0.624 0.000 0.000 0.000
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 232 232 212 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.446 0.280 0.773 0.000 0.471 0.000 0.000 0.000
Problem 109 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 112 176 155 1199 0 0 0 0 -1
normalized size 1 1.57 1.38 10.71 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.357 0.236 0.315 0.000 0.660 0.000 0.000 0.000
Problem 110 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 126 145 146 990 0 0 0 0 -1
normalized size 1 1.15 1.16 7.86 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.201 0.103 0.276 0.000 0.528 0.000 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 232 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.594 0.256 0.829 0.000 0.581 0.000 0.000 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 290 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.538 0.414 0.770 0.000 0.506 0.000 0.000 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 398 398 344 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.826 0.654 0.886 0.000 0.523 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 298 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.786 0.498 0.858 0.000 0.593 0.000 0.000 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 274 371 1658 0 0 0 0 -1
normalized size 1 1.70 2.30 10.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.716 0.513 0.312 0.000 0.474 0.000 0.000 0.000
Problem 116 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 210 229 281 1400 0 0 0 0 -1
normalized size 1 1.09 1.34 6.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.620 0.246 0.297 0.000 0.484 0.000 0.000 0.000
Problem 117 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 203 221 211 1227 0 0 0 0 -1
normalized size 1 1.09 1.04 6.04 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.312 0.156 0.276 0.000 0.476 0.000 0.000 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 318 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.012 0.432 0.919 0.000 0.476 0.000 0.000 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 420 420 378 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.893 0.670 0.861 0.000 0.472 0.000 0.000 0.000
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 157 96 0 132 0 357 0 -1
normalized size 1 1.47 0.90 0.00 1.23 0.00 3.34 0.00 -0.01
time (sec) N/A 0.407 0.144 0.230 0.715 0.541 55.500 0.000 0.000
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 130 243 9909 0 0 0 0 -1
normalized size 1 1.15 2.15 87.69 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.208 0.197 0.870 0.000 0.485 0.000 0.000 0.000
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 234 432 0 0 0 0 0 -1
normalized size 1 1.08 1.99 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.396 0.498 1.053 0.000 0.670 0.000 0.000 0.000
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 706 0 0 0 0 0 -1
normalized size 1 1.00 1.96 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.852 0.921 1.291 0.000 0.548 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 169 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.266 0.281 0.295 0.000 0.000 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 287 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.467 0.398 0.408 0.000 0.000 0.000 0.000 0.000
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 402 402 366 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.615 0.509 0.397 0.000 0.000 0.000 0.000 0.000
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.048 6.362 0.447 0.000 0.000 0.000 0.000 0.000
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 61 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.101 6.800 0.414 0.000 0.000 0.000 0.000 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 66 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.198 13.347 0.426 0.000 0.000 0.000 0.000 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 183 0 227 495 518 0 -1
normalized size 1 1.00 0.76 0.00 0.94 2.05 2.14 0.00 -0.00
time (sec) N/A 0.220 0.465 0.490 1.374 0.735 16.486 0.000 0.000
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 151 0 184 396 364 0 -1
normalized size 1 1.00 0.79 0.00 0.96 2.06 1.90 0.00 -0.01
time (sec) N/A 0.176 0.218 0.474 1.359 0.720 11.157 0.000 0.000
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 116 0 143 291 224 0 -1
normalized size 1 1.00 0.82 0.00 1.01 2.05 1.58 0.00 -0.01
time (sec) N/A 0.101 0.126 0.462 1.578 0.551 6.856 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 77 0 93 184 102 0 -1
normalized size 1 1.00 0.82 0.00 0.99 1.96 1.09 0.00 -0.01
time (sec) N/A 0.042 0.072 0.461 1.402 0.584 3.792 0.000 0.000
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 331 0 0 0 0 0 -1
normalized size 1 1.00 1.57 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.331 0.218 0.385 0.000 0.609 0.000 0.000 0.000
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 392 0 0 0 0 0 -1
normalized size 1 1.00 1.77 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.278 0.335 0.400 0.000 0.639 0.000 0.000 0.000
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 500 0 0 0 0 0 -1
normalized size 1 1.00 1.68 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.339 0.546 0.391 0.000 0.535 0.000 0.000 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 187 0 239 595 1188 0 -1
normalized size 1 1.00 0.71 0.00 0.91 2.26 4.52 0.00 -0.00
time (sec) N/A 0.240 0.341 0.470 1.330 0.700 148.736 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 153 0 196 496 870 0 -1
normalized size 1 1.00 0.72 0.00 0.92 2.33 4.08 0.00 -0.00
time (sec) N/A 0.197 0.238 0.452 1.532 0.799 105.830 0.000 0.000
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 120 0 155 391 583 0 -1
normalized size 1 1.00 0.74 0.00 0.95 2.40 3.58 0.00 -0.01
time (sec) N/A 0.117 0.178 0.450 1.246 0.445 69.886 0.000 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 87 0 105 288 333 0 -1
normalized size 1 1.00 0.76 0.00 0.91 2.50 2.90 0.00 -0.01
time (sec) N/A 0.051 0.106 0.430 1.324 0.439 38.358 0.000 0.000
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 375 0 0 0 0 0 -1
normalized size 1 1.00 1.47 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.456 0.302 0.364 0.000 0.417 0.000 0.000 0.000
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 480 0 0 0 0 0 -1
normalized size 1 1.00 1.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.324 0.341 0.354 0.000 0.425 0.000 0.000 0.000
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 501 0 0 0 0 0 -1
normalized size 1 1.00 1.71 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.384 0.603 0.379 0.000 0.459 0.000 0.000 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 150 0 215 395 0 275 -1
normalized size 1 1.00 0.69 0.00 0.99 1.82 0.00 1.27 -0.00
time (sec) N/A 0.204 0.232 0.429 1.449 0.481 0.000 0.835 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 118 0 172 296 0 210 -1
normalized size 1 1.00 0.70 0.00 1.02 1.75 0.00 1.24 -0.01
time (sec) N/A 0.169 0.180 0.433 1.329 0.453 0.000 0.935 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 80 0 127 189 0 145 -1
normalized size 1 1.00 0.67 0.00 1.07 1.59 0.00 1.22 -0.01
time (sec) N/A 0.091 0.111 0.423 1.231 0.462 0.000 0.755 0.000
Problem 147 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 69 69 55 70 82 116 252 78 -1
normalized size 1 1.00 0.80 1.01 1.19 1.68 3.65 1.13 -0.01
time (sec) N/A 0.034 0.043 0.041 1.352 0.496 27.884 0.339 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 249 0 0 0 0 0 -1
normalized size 1 1.00 1.64 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.199 0.099 0.388 0.000 0.463 0.000 0.000 0.000
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 392 0 0 0 0 0 -1
normalized size 1 1.00 1.73 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.270 0.261 0.365 0.000 0.459 0.000 0.000 0.000
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 501 0 0 0 0 0 -1
normalized size 1 1.00 1.65 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.336 0.426 0.366 0.000 0.451 0.000 0.000 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 159 0 200 435 384 0 -1
normalized size 1 1.00 0.82 0.00 1.03 2.24 1.98 0.00 -0.01
time (sec) N/A 0.195 0.131 0.370 1.255 0.503 56.705 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 124 0 157 330 262 0 -1
normalized size 1 1.00 0.85 0.00 1.08 2.26 1.79 0.00 -0.01
time (sec) N/A 0.162 0.097 0.364 1.446 0.584 39.945 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 83 0 112 223 153 105 -1
normalized size 1 1.00 0.88 0.00 1.19 2.37 1.63 1.12 -0.01
time (sec) N/A 0.087 0.071 0.371 1.425 0.613 58.816 0.344 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 53 0 71 155 66 57 -1
normalized size 1 1.00 1.00 0.00 1.34 2.92 1.25 1.08 -0.02
time (sec) N/A 0.032 0.043 0.339 1.559 0.644 13.888 0.338 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 295 0 0 0 0 0 -1
normalized size 1 1.00 1.47 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.320 0.279 0.370 0.000 0.499 0.000 0.000 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 255 506 0 0 0 0 0 -1
normalized size 1 1.01 2.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.517 0.493 0.371 0.000 0.502 0.000 0.000 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.086 1.345 0.507 0.000 0.500 0.000 0.000 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.061 0.761 0.509 0.000 0.507 0.000 0.000 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.030 0.022 0.502 0.000 0.689 0.000 0.000 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.082 0.273 0.508 0.000 0.460 0.000 0.000 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.089 0.641 0.536 0.000 0.772 0.000 0.000 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 152 5021 271 1222 8381 531 -1
normalized size 1 1.00 0.72 23.80 1.28 5.79 39.72 2.52 -0.00
time (sec) N/A 0.228 0.236 0.689 0.877 0.581 40.640 0.499 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 108 2702 195 633 3815 374 -1
normalized size 1 1.00 0.71 17.66 1.27 4.14 24.93 2.44 -0.01
time (sec) N/A 0.173 0.145 0.382 0.868 0.463 20.290 0.547 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 64 1122 119 235 1238 217 -1
normalized size 1 1.00 0.67 11.81 1.25 2.47 13.03 2.28 -0.01
time (sec) N/A 0.081 0.071 0.240 0.643 0.726 10.294 0.367 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 32 371 57 52 192 95 -1
normalized size 1 1.00 0.70 8.07 1.24 1.13 4.17 2.07 -0.02
time (sec) N/A 0.017 0.013 0.156 0.673 0.515 10.176 0.360 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 72 0 0 0 0 0 -1
normalized size 1 0.00 2.77 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.055 0.105 0.623 0.000 0.528 0.000 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 72 0 0 0 0 0 -1
normalized size 1 0.00 2.77 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.053 0.107 0.655 0.000 0.525 0.000 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 18 0 173 0 0 0 0 0 -1
normalized size 1 0.00 9.61 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.019 0.251 0.651 0.000 0.524 0.000 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 61 0 0 0 233 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 3.43 0.00 -0.01
time (sec) N/A 0.028 0.022 0.541 0.000 0.634 27.793 0.000 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A F(-2) A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 20 0 89 0 0 0 0 0 -1
normalized size 1 0.00 4.45 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.029 0.064 0.558 0.000 0.595 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 69 266 57 69 87 73 51
normalized size 1 1.00 1.44 5.54 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.043 0.003 0.214 0.468 0.777 9.202 0.357 3.417
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 69 266 57 69 87 73 51
normalized size 1 1.00 1.44 5.54 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.042 0.002 0.207 0.460 0.427 3.667 0.267 3.395
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 69 265 57 67 87 73 51
normalized size 1 1.00 1.47 5.64 1.21 1.43 1.85 1.55 1.09
time (sec) N/A 0.037 0.002 0.225 0.469 0.510 1.442 0.360 3.386
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 57 257 49 55 71 60 48
normalized size 1 1.00 1.10 4.94 0.94 1.06 1.37 1.15 0.92
time (sec) N/A 0.064 0.003 0.272 0.608 0.545 0.910 0.320 3.342
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 47 57 266 49 59 63 63 66
normalized size 1 0.90 1.10 5.12 0.94 1.13 1.21 1.21 1.27
time (sec) N/A 0.049 0.004 0.232 0.554 0.491 4.574 0.315 3.402
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 47 69 248 57 60 88 65 51
normalized size 1 0.82 1.21 4.35 1.00 1.05 1.54 1.14 0.89
time (sec) N/A 0.047 0.003 0.155 0.468 0.443 2.568 0.278 3.383
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 69 266 57 69 87 73 51
normalized size 1 1.00 1.44 5.54 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.043 0.003 0.201 0.466 0.526 5.844 0.378 3.345
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 69 266 57 69 87 73 51
normalized size 1 1.00 1.44 5.54 1.19 1.44 1.81 1.52 1.06
time (sec) N/A 0.042 0.003 0.209 0.462 0.518 2.309 0.365 3.315
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 41 55 247 49 61 73 62 43
normalized size 1 0.85 1.15 5.15 1.02 1.27 1.52 1.29 0.90
time (sec) N/A 0.018 0.002 0.208 0.478 0.526 0.857 0.243 3.315
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 37 49 249 49 58 60 62 51
normalized size 1 0.84 1.11 5.66 1.11 1.32 1.36 1.41 1.16
time (sec) N/A 0.039 0.002 0.217 0.473 0.431 0.894 0.355 3.340
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 45 63 249 57 59 75 65 51
normalized size 1 0.85 1.19 4.70 1.08 1.11 1.42 1.23 0.96
time (sec) N/A 0.047 0.003 0.151 0.466 0.467 1.642 0.270 3.630
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 48 69 251 57 63 88 66 53
normalized size 1 0.84 1.21 4.40 1.00 1.11 1.54 1.16 0.93
time (sec) N/A 0.046 0.003 0.155 0.475 0.453 3.913 0.280 3.609
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 84 434 100 118 151 123 82
normalized size 1 1.00 1.14 5.86 1.35 1.59 2.04 1.66 1.11
time (sec) N/A 0.087 0.043 0.211 0.479 0.579 21.661 0.242 3.703
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 87 434 100 118 151 123 82
normalized size 1 1.00 1.18 5.86 1.35 1.59 2.04 1.66 1.11
time (sec) N/A 0.088 0.059 0.213 0.528 0.462 9.636 0.331 3.646
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 85 433 100 116 151 123 82
normalized size 1 1.00 1.12 5.70 1.32 1.53 1.99 1.62 1.08
time (sec) N/A 0.068 0.048 0.223 0.460 0.530 3.913 0.331 3.633
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 73 82 423 88 104 129 105 80
normalized size 1 0.82 0.92 4.75 0.99 1.17 1.45 1.18 0.90
time (sec) N/A 0.082 0.082 0.297 0.470 0.471 2.610 0.301 3.664
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 71 83 433 91 108 136 112 110
normalized size 1 0.78 0.91 4.76 1.00 1.19 1.49 1.23 1.21
time (sec) N/A 0.099 0.061 0.319 0.485 0.467 2.755 0.261 3.745
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 73 82 434 90 108 105 113 102
normalized size 1 0.81 0.91 4.82 1.00 1.20 1.17 1.26 1.13
time (sec) N/A 0.089 0.057 0.247 0.517 0.590 6.166 0.312 3.574
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 95 434 100 118 158 123 82
normalized size 1 1.00 1.28 5.86 1.35 1.59 2.14 1.66 1.11
time (sec) N/A 0.072 0.036 0.217 0.480 0.580 14.499 0.386 3.695
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 95 434 100 118 158 123 82
normalized size 1 1.00 1.28 5.86 1.35 1.59 2.14 1.66 1.11
time (sec) N/A 0.071 0.035 0.217 0.509 0.636 6.175 0.277 3.591
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 68 89 416 92 112 144 112 74
normalized size 1 0.79 1.03 4.84 1.07 1.30 1.67 1.30 0.86
time (sec) N/A 0.035 0.035 0.219 0.469 0.445 2.535 0.407 3.444
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 66 86 419 94 109 131 116 102
normalized size 1 0.80 1.04 5.05 1.13 1.31 1.58 1.40 1.23
time (sec) N/A 0.071 0.035 0.208 0.493 0.478 2.624 0.306 3.456
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 65 80 417 92 110 131 116 90
normalized size 1 0.79 0.98 5.09 1.12 1.34 1.60 1.41 1.10
time (sec) N/A 0.073 0.040 0.233 0.466 0.630 2.764 0.281 3.482
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 72 86 419 100 111 146 116 88
normalized size 1 0.79 0.95 4.60 1.10 1.22 1.60 1.27 0.97
time (sec) N/A 0.083 0.042 0.167 0.468 0.898 4.211 0.263 3.511
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 74 95 419 100 112 160 116 89
normalized size 1 0.78 1.00 4.41 1.05 1.18 1.68 1.22 0.94
time (sec) N/A 0.083 0.046 0.172 0.462 0.550 10.080 0.286 3.549
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 120 602 143 167 230 173 113
normalized size 1 1.00 1.20 6.02 1.43 1.67 2.30 1.73 1.13
time (sec) N/A 0.106 0.055 0.217 0.478 0.534 47.088 0.296 3.515
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 120 602 143 167 223 173 113
normalized size 1 1.00 0.92 4.63 1.10 1.28 1.72 1.33 0.87
time (sec) N/A 0.152 0.054 0.217 0.539 0.621 22.603 0.325 3.482
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 118 601 143 165 223 173 113
normalized size 1 1.00 1.30 6.60 1.57 1.81 2.45 1.90 1.24
time (sec) N/A 0.075 0.051 0.243 0.489 0.672 9.986 0.283 3.491
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 100 116 595 133 155 212 158 112
normalized size 1 0.77 0.89 4.58 1.02 1.19 1.63 1.22 0.86
time (sec) N/A 0.104 0.065 0.301 0.486 0.767 6.659 0.274 3.666
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 100 115 604 133 155 209 160 163
normalized size 1 0.76 0.88 4.61 1.02 1.18 1.60 1.22 1.24
time (sec) N/A 0.125 0.087 0.326 0.490 0.861 6.849 0.418 3.641
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 99 115 602 133 157 209 162 149
normalized size 1 0.76 0.88 4.60 1.02 1.20 1.60 1.24 1.14
time (sec) N/A 0.123 0.085 0.332 0.500 0.816 6.919 0.290 3.664
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 133 602 143 167 223 173 113
normalized size 1 1.00 1.33 6.02 1.43 1.67 2.23 1.73 1.13
time (sec) N/A 0.088 0.050 0.216 0.490 0.655 32.867 0.307 3.726
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 133 602 143 167 230 173 113
normalized size 1 1.00 1.33 6.02 1.43 1.67 2.30 1.73 1.13
time (sec) N/A 0.087 0.047 0.217 0.538 0.873 15.398 0.319 3.625
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 94 124 582 133 161 204 159 104
normalized size 1 0.78 1.02 4.81 1.10 1.33 1.69 1.31 0.86
time (sec) N/A 0.048 0.045 0.217 0.459 0.721 6.603 0.315 3.717
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 92 123 587 135 159 190 166 145
normalized size 1 0.78 1.04 4.97 1.14 1.35 1.61 1.41 1.23
time (sec) N/A 0.082 0.057 0.244 0.517 0.596 6.772 0.418 3.515
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 91 112 585 137 156 202 166 141
normalized size 1 0.75 0.93 4.83 1.13 1.29 1.67 1.37 1.17
time (sec) N/A 0.091 0.055 0.247 0.500 0.469 6.919 0.258 3.531
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 91 115 585 135 160 190 166 125
normalized size 1 0.77 0.97 4.96 1.14 1.36 1.61 1.41 1.06
time (sec) N/A 0.086 0.056 0.257 0.645 0.655 6.972 0.387 3.584
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 98 127 587 143 160 206 166 123
normalized size 1 0.77 1.00 4.62 1.13 1.26 1.62 1.31 0.97
time (sec) N/A 0.101 0.061 0.178 0.681 0.622 10.392 0.273 3.795
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 100 133 587 143 161 231 166 125
normalized size 1 0.75 1.00 4.41 1.08 1.21 1.74 1.25 0.94
time (sec) N/A 0.098 0.061 0.185 0.631 0.494 23.036 0.288 3.699
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 174 641 0 0 235 0 -1
normalized size 1 1.00 1.44 5.30 0.00 0.00 1.94 0.00 -0.01
time (sec) N/A 0.173 0.123 0.220 0.000 0.770 90.776 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 135 460 0 0 180 0 -1
normalized size 1 1.00 1.63 5.54 0.00 0.00 2.17 0.00 -0.01
time (sec) N/A 0.143 0.073 0.212 0.000 0.626 34.149 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 94 299 0 0 119 0 -1
normalized size 1 1.00 1.92 6.10 0.00 0.00 2.43 0.00 -0.02
time (sec) N/A 0.048 0.034 0.178 0.000 0.631 7.825 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 126 439 0 0 124 0 -1
normalized size 1 1.00 2.57 8.96 0.00 0.00 2.53 0.00 -0.02
time (sec) N/A 0.065 0.101 0.192 0.000 0.614 16.736 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 109 157 611 0 0 0 0 -1
normalized size 1 1.31 1.89 7.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.176 0.134 0.194 0.000 0.594 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 149 196 805 0 0 0 0 -1
normalized size 1 1.23 1.62 6.65 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.214 0.200 0.206 0.000 0.692 0.000 0.000 0.000
Problem 216 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 167 167 208 693 0 0 0 0 -1
normalized size 1 1.00 1.25 4.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.207 0.164 0.241 0.000 0.585 0.000 0.000 0.000
Problem 217 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 132 132 170 512 0 0 0 0 -1
normalized size 1 1.00 1.29 3.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.165 0.110 0.237 0.000 0.483 0.000 0.000 0.000
Problem 218 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 105 105 107 332 0 0 0 0 -1
normalized size 1 1.00 1.02 3.16 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.066 0.047 0.269 0.000 0.591 0.000 0.000 0.000
Problem 219 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 134 134 173 531 0 0 0 0 -1
normalized size 1 1.00 1.29 3.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.175 0.142 0.292 0.000 0.681 0.000 0.000 0.000
Problem 220 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 165 165 211 706 0 0 0 0 -1
normalized size 1 1.00 1.28 4.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.197 0.185 0.301 0.000 0.500 0.000 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 287 687 0 0 294 0 -1
normalized size 1 1.00 2.22 5.33 0.00 0.00 2.28 0.00 -0.01
time (sec) N/A 0.220 0.509 0.224 0.000 0.663 112.338 0.000 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 321 511 0 0 0 0 -1
normalized size 1 1.00 3.38 5.38 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.188 0.243 0.192 0.000 0.574 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 74 179 71 61 366 70 73
normalized size 1 1.00 1.48 3.58 1.42 1.22 7.32 1.40 1.46
time (sec) N/A 0.042 0.066 0.197 0.479 0.736 59.946 0.246 3.498
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 279 644 0 0 0 0 -1
normalized size 1 1.00 3.40 7.85 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.140 0.424 0.199 0.000 0.600 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(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 159 334 817 0 0 0 0 -1
normalized size 1 1.26 2.65 6.48 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.289 0.569 0.202 0.000 0.549 0.000 0.000 0.000
Problem 226 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 191 191 296 913 0 0 0 0 -1
normalized size 1 1.00 1.55 4.78 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.297 0.559 0.301 0.000 0.624 0.000 0.000 0.000
Problem 227 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 164 164 258 752 0 0 0 0 -1
normalized size 1 1.00 1.57 4.59 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.269 0.493 0.336 0.000 0.536 0.000 0.000 0.000
Problem 228 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 164 164 289 685 0 0 0 0 -1
normalized size 1 1.00 1.76 4.18 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.577 0.337 0.000 0.481 0.000 0.000 0.000
Problem 229 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 183 183 328 933 0 0 0 0 -1
normalized size 1 1.00 1.79 5.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.284 0.730 0.369 0.000 0.600 0.000 0.000 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 361 1133 0 0 0 0 -1
normalized size 1 1.00 1.61 5.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.309 0.711 0.342 0.000 0.553 0.000 0.000 0.000
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 498 727 0 0 381 0 -1
normalized size 1 1.00 3.28 4.78 0.00 0.00 2.51 0.00 -0.01
time (sec) N/A 0.287 0.601 0.207 0.000 0.568 163.085 0.000 0.000
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 129 369 128 126 0 140 129
normalized size 1 1.00 1.90 5.43 1.88 1.85 0.00 2.06 1.90
time (sec) N/A 0.080 0.151 0.244 0.508 0.755 0.000 0.301 3.736
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 111 243 109 118 0 136 109
normalized size 1 1.00 1.35 2.96 1.33 1.44 0.00 1.66 1.33
time (sec) N/A 0.066 0.071 0.207 0.525 0.674 0.000 0.292 3.679
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 396 841 0 0 0 0 -1
normalized size 1 1.00 3.44 7.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.218 1.021 0.213 0.000 0.822 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(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 195 507 1030 0 0 0 0 -1
normalized size 1 1.20 3.13 6.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.390 1.272 0.218 0.000 0.681 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 495 1311 0 0 0 0 -1
normalized size 1 1.00 2.35 6.21 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.458 1.268 0.359 0.000 0.455 0.000 0.000 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 497 1247 0 0 0 0 -1
normalized size 1 1.00 2.66 6.67 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.369 1.081 0.358 0.000 0.427 0.000 0.000 0.000
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 544 1047 0 0 0 0 -1
normalized size 1 1.00 2.59 4.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.146 0.955 0.336 0.000 0.400 0.000 0.000 0.000
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 552 1518 0 0 0 0 -1
normalized size 1 1.00 2.52 6.93 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.366 1.613 0.391 0.000 0.405 0.000 0.000 0.000
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 584 1729 0 0 0 0 -1
normalized size 1 1.00 2.25 6.65 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.421 1.668 0.403 0.000 0.404 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 76 14 78 0 11
normalized size 1 1.00 1.00 0.71 4.47 0.82 4.59 0.00 0.65
time (sec) N/A 0.043 0.005 0.033 0.490 0.380 8.245 0.000 3.382
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 17 52 58 13 102 0 10
normalized size 1 1.00 1.06 3.25 3.62 0.81 6.38 0.00 0.62
time (sec) N/A 0.043 0.004 0.140 0.479 0.406 6.185 0.000 3.345
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 31 20 48 0 0 0 18
normalized size 1 1.00 1.41 0.91 2.18 0.00 0.00 0.00 0.82
time (sec) N/A 0.022 0.006 0.036 0.465 0.430 0.000 0.000 0.041
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 65 46 26 0 0 0 24
normalized size 1 1.00 2.03 1.44 0.81 0.00 0.00 0.00 0.75
time (sec) N/A 0.036 0.008 0.038 1.175 0.448 0.000 0.000 3.329
Problem 245 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 62 62 68 103 0 0 0 0 -1
normalized size 1 1.00 1.10 1.66 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.031 0.065 0.000 0.434 0.000 0.000 0.000
Problem 246 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 66 66 72 200 0 0 0 0 -1
normalized size 1 1.00 1.09 3.03 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.026 0.204 0.000 0.466 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 509 509 432 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 0.612 0.784 27.054 0.000 0.454 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 711 711 1073 0 0 0 0 0 -1
normalized size 1 1.00 1.51 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.846 2.462 31.293 0.000 0.429 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.033 2.879 0.584 0.000 0.420 0.000 0.000 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.032 14.493 3.522 0.000 0.426 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 251 0 220 414 0 296 -1
normalized size 1 1.00 1.21 0.00 1.06 1.99 0.00 1.42 -0.00
time (sec) N/A 0.250 0.205 0.417 1.026 0.518 0.000 0.749 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 204 0 167 309 0 221 -1
normalized size 1 1.00 1.32 0.00 1.08 2.01 0.00 1.44 -0.01
time (sec) N/A 0.175 0.156 0.409 1.032 0.482 0.000 0.528 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 136 0 85 202 155 145 -1
normalized size 1 1.00 1.33 0.00 0.83 1.98 1.52 1.42 -0.01
time (sec) N/A 0.088 0.111 0.395 0.479 0.495 23.110 0.512 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 203 0 0 0 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.334 0.332 0.372 0.000 0.471 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 303 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.376 0.558 0.375 0.000 0.432 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 469 276 0 0 0 0 0 -1
normalized size 1 1.00 0.59 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.598 0.614 0.373 0.000 0.452 0.000 0.000 0.000
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 409 410 250 0 0 0 0 0 -1
normalized size 1 1.00 0.61 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.413 0.462 0.366 0.000 0.464 0.000 0.000 0.000
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 237 0 0 0 0 0 -1
normalized size 1 1.00 0.72 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.201 0.361 0.376 0.000 0.421 0.000 0.000 0.000
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 183 0 0 0 0 0 -1
normalized size 1 1.00 0.53 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.394 0.659 0.376 0.000 0.429 0.000 0.000 0.000
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 99 0 118 212 0 0 -1
normalized size 1 1.00 0.88 0.00 1.05 1.89 0.00 0.00 -0.01
time (sec) N/A 0.104 0.147 0.416 0.608 0.479 0.000 0.000 0.000
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 145 0 0 323 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 1.90 0.00 0.00 -0.01
time (sec) N/A 0.152 0.197 0.452 0.000 0.494 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 180 0 0 426 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 1.85 0.00 0.00 -0.00
time (sec) N/A 0.199 0.244 0.463 0.000 0.544 0.000 0.000 0.000
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 256 0 234 514 0 0 -1
normalized size 1 1.00 1.11 0.00 1.01 2.23 0.00 0.00 -0.00
time (sec) N/A 0.277 0.359 0.390 1.452 0.528 0.000 0.000 0.000
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 227 0 181 409 0 0 -1
normalized size 1 1.00 1.28 0.00 1.02 2.31 0.00 0.00 -0.01
time (sec) N/A 0.205 0.210 0.382 1.327 0.497 0.000 0.000 0.000
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 181 0 99 304 0 0 -1
normalized size 1 1.00 1.45 0.00 0.79 2.43 0.00 0.00 -0.01
time (sec) N/A 0.106 0.153 0.374 0.673 0.465 0.000 0.000 0.000
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 301 0 0 0 0 0 -1
normalized size 1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.392 0.838 0.336 0.000 0.413 0.000 0.000 0.000
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 349 0 0 0 0 0 -1
normalized size 1 1.00 1.18 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.442 0.964 0.342 0.000 0.424 0.000 0.000 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 464 464 331 0 0 0 0 0 -1
normalized size 1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.593 1.194 0.329 0.000 0.430 0.000 0.000 0.000
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 378 378 314 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.269 1.032 0.337 0.000 0.419 0.000 0.000 0.000
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 329 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.481 1.154 0.347 0.000 0.441 0.000 0.000 0.000
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 269 0 0 0 0 0 -1
normalized size 1 1.00 0.67 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.444 0.775 0.338 0.000 0.432 0.000 0.000 0.000
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 114 0 156 314 0 0 -1
normalized size 1 1.00 0.83 0.00 1.13 2.28 0.00 0.00 -0.01
time (sec) N/A 0.122 0.213 0.418 0.643 0.483 0.000 0.000 0.000
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 145 0 0 423 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 2.16 0.00 0.00 -0.01
time (sec) N/A 0.172 0.239 0.463 0.000 0.523 0.000 0.000 0.000
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 178 0 0 526 0 0 -1
normalized size 1 1.00 0.70 0.00 0.00 2.05 0.00 0.00 -0.00
time (sec) N/A 0.221 0.281 0.510 0.000 0.580 0.000 0.000 0.000
Problem 275 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 60 60 53 75 39 54 65 54 -1
normalized size 1 1.00 0.88 1.25 0.65 0.90 1.08 0.90 -0.02
time (sec) N/A 0.045 0.045 0.272 1.302 0.420 25.551 0.316 0.000
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 204 0 206 314 0 0 -1
normalized size 1 1.00 1.12 0.00 1.13 1.73 0.00 0.00 -0.01
time (sec) N/A 0.228 0.208 0.378 1.339 0.467 0.000 0.000 0.000
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 145 0 149 207 0 0 -1
normalized size 1 1.00 1.12 0.00 1.16 1.60 0.00 0.00 -0.01
time (sec) N/A 0.164 0.166 0.359 1.532 0.462 0.000 0.000 0.000
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 91 0 69 124 126 0 -1
normalized size 1 1.00 1.25 0.00 0.95 1.70 1.73 0.00 -0.01
time (sec) N/A 0.078 0.090 0.349 0.673 0.440 4.813 0.000 0.000
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 162 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.262 0.210 0.341 0.000 0.407 0.000 0.000 0.000
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 229 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.373 1.105 0.346 0.000 0.410 0.000 0.000 0.000
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 205 0 0 0 0 0 -1
normalized size 1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.410 0.790 0.336 0.000 0.418 0.000 0.000 0.000
Problem 282 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 250 250 186 0 0 0 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.139 0.608 0.329 0.000 0.411 0.000 0.000 0.000
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 77 0 77 127 0 0 -1
normalized size 1 1.00 0.95 0.00 0.95 1.57 0.00 0.00 -0.01
time (sec) N/A 0.091 0.107 0.366 0.711 0.446 0.000 0.000 0.000
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 110 0 0 223 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 1.55 0.00 0.00 -0.01
time (sec) N/A 0.133 0.152 0.389 0.000 0.451 0.000 0.000 0.000
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 147 0 0 326 0 0 -1
normalized size 1 1.00 0.72 0.00 0.00 1.60 0.00 0.00 -0.00
time (sec) N/A 0.177 0.234 0.398 0.000 0.494 0.000 0.000 0.000
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 195 0 244 461 0 0 -1
normalized size 1 1.00 0.93 0.00 1.17 2.21 0.00 0.00 -0.00
time (sec) N/A 0.296 0.221 0.332 1.468 0.556 0.000 0.000 0.000
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 160 0 189 356 0 0 -1
normalized size 1 1.00 1.01 0.00 1.20 2.25 0.00 0.00 -0.01
time (sec) N/A 0.218 0.187 0.348 1.490 0.516 0.000 0.000 0.000
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 118 0 132 245 163 0 -1
normalized size 1 1.00 1.18 0.00 1.32 2.45 1.63 0.00 -0.01
time (sec) N/A 0.160 0.149 0.337 1.684 0.461 47.867 0.000 0.000
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 77 0 59 169 80 0 -1
normalized size 1 1.00 1.35 0.00 1.04 2.96 1.40 0.00 -0.02
time (sec) N/A 0.078 0.143 0.360 0.596 0.465 12.773 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 241 0 0 0 0 0 -1
normalized size 1 1.00 1.15 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.334 0.386 0.339 0.000 0.420 0.000 0.000 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 287 286 218 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.386 0.359 0.338 0.000 0.428 0.000 0.000 0.000
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 217 0 0 0 0 0 -1
normalized size 1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.474 0.479 0.320 0.000 0.418 0.000 0.000 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 70 0 56 172 0 0 -1
normalized size 1 1.00 1.21 0.00 0.97 2.97 0.00 0.00 -0.02
time (sec) N/A 0.034 0.104 0.330 0.651 0.444 0.000 0.000 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 103 0 0 241 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 2.19 0.00 0.00 -0.01
time (sec) N/A 0.130 0.131 0.342 0.000 0.459 0.000 0.000 0.000
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 144 0 0 370 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 2.10 0.00 0.00 -0.01
time (sec) N/A 0.166 0.168 0.334 0.000 0.487 0.000 0.000 0.000
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 180 0 0 473 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 2.00 0.00 0.00 -0.00
time (sec) N/A 0.270 0.204 0.337 0.000 0.523 0.000 0.000 0.000
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 240 0 246 504 0 0 -1
normalized size 1 1.00 1.13 0.00 1.16 2.38 0.00 0.00 -0.00
time (sec) N/A 0.324 0.265 0.347 1.611 0.538 0.000 0.000 0.000
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 205 0 193 401 0 0 -1
normalized size 1 1.00 1.32 0.00 1.25 2.59 0.00 0.00 -0.01
time (sec) N/A 0.235 0.219 0.326 1.337 0.511 0.000 0.000 0.000
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 137 0 137 325 333 0 -1
normalized size 1 1.00 1.27 0.00 1.27 3.01 3.08 0.00 -0.01
time (sec) N/A 0.161 0.281 0.329 1.428 0.480 57.188 0.000 0.000
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 97 0 75 267 245 0 -1
normalized size 1 1.00 1.15 0.00 0.89 3.18 2.92 0.00 -0.01
time (sec) N/A 0.088 0.241 0.361 0.700 0.476 33.604 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 273 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.404 0.447 0.349 0.000 0.433 0.000 0.000 0.000
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 337 341 227 0 0 0 0 0 -1
normalized size 1 1.01 0.67 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.488 0.285 0.335 0.000 0.435 0.000 0.000 0.000
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 443 443 199 0 0 0 0 0 -1
normalized size 1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.539 0.281 0.333 0.000 0.439 0.000 0.000 0.000
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 383 383 244 0 0 0 0 0 -1
normalized size 1 1.00 0.64 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.557 0.867 0.345 0.000 0.427 0.000 0.000 0.000
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 101 0 0 277 0 0 -1
normalized size 1 1.00 1.13 0.00 0.00 3.11 0.00 0.00 -0.01
time (sec) N/A 0.109 0.155 0.331 0.000 0.468 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 116 0 0 337 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 2.98 0.00 0.00 -0.01
time (sec) N/A 0.069 0.139 0.344 0.000 0.466 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 144 0 0 399 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 2.40 0.00 0.00 -0.01
time (sec) N/A 0.169 0.191 0.341 0.000 0.495 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 182 0 0 520 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 2.26 0.00 0.00 -0.00
time (sec) N/A 0.259 0.226 0.332 0.000 0.563 0.000 0.000 0.000
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 163 0 199 125 0 0 -1
normalized size 1 1.00 0.65 0.00 0.79 0.50 0.00 0.00 -0.00
time (sec) N/A 0.520 0.404 0.545 1.543 0.484 0.000 0.000 0.000
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 113 0 105 66 0 0 -1
normalized size 1 1.00 0.76 0.00 0.71 0.45 0.00 0.00 -0.01
time (sec) N/A 0.296 0.184 0.502 1.457 0.444 0.000 0.000 0.000
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 310 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.605 1.826 0.475 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 F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 489 489 255 0 0 0 0 0 -1
normalized size 1 1.00 0.52 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.724 0.884 0.500 0.000 0.420 0.000 0.000 0.000
Problem 313 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 406 406 316 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.612 2.791 0.504 0.000 0.422 0.000 0.000 0.000
Problem 314 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 248 248 217 0 0 0 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.216 0.549 0.483 0.000 0.406 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 70 0 88 73 0 0 -1
normalized size 1 1.00 0.49 0.00 0.62 0.51 0.00 0.00 -0.01
time (sec) N/A 0.400 0.228 0.500 1.242 0.438 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 116 0 0 135 0 0 -1
normalized size 1 1.00 0.46 0.00 0.00 0.54 0.00 0.00 -0.00
time (sec) N/A 0.475 0.308 0.552 0.000 0.465 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 27 119 27 27 29 28 -1
normalized size 1 1.00 0.79 3.50 0.79 0.79 0.85 0.82 -0.03
time (sec) N/A 0.040 0.027 0.269 1.291 0.416 2.682 0.342 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 156 5139 271 1222 0 553 -1
normalized size 1 1.00 0.74 24.36 1.28 5.79 0.00 2.62 -0.00
time (sec) N/A 1.684 0.269 0.622 0.827 0.447 0.000 0.623 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 112 2790 195 633 3850 396 -1
normalized size 1 1.00 0.73 18.24 1.27 4.14 25.16 2.59 -0.01
time (sec) N/A 0.180 0.198 0.395 0.849 0.429 64.063 0.421 0.000
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 68 1180 119 235 1261 239 -1
normalized size 1 1.00 0.72 12.42 1.25 2.47 13.27 2.52 -0.01
time (sec) N/A 0.085 0.080 0.253 1.117 0.412 15.804 0.386 0.000
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 32 371 57 52 192 95 -1
normalized size 1 1.00 0.70 8.07 1.24 1.13 4.17 2.07 -0.02
time (sec) N/A 0.017 0.013 0.072 1.020 0.411 9.891 0.360 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 28 0 108 0 0 0 0 0 -1
normalized size 1 0.00 3.86 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.067 0.208 0.701 0.000 0.412 0.000 0.000 0.000
Problem 323 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 NO TBD TBD TBD TBD TBD TBD
size 28 0 108 0 0 0 0 0 -1
normalized size 1 0.00 3.86 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 0.129 0.821 0.000 0.431 0.000 0.000 0.000
Problem 324 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 1198 1198 2215 0 0 0 0 0 -1
normalized size 1 1.00 1.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.435 7.802 31.117 0.000 0.394 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 860 860 1379 0 0 0 0 0 -1
normalized size 1 1.00 1.60 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.771 6.158 41.436 0.000 0.400 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 520 520 571 1388 0 0 0 0 -1
normalized size 1 1.00 1.10 2.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.457 1.874 0.371 0.000 0.413 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.032 5.628 0.676 0.000 0.411 0.000 0.000 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.030 25.674 2.488 0.000 0.412 0.000 0.000 0.000
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 171 867 0 0 298 0 -1
normalized size 1 1.00 0.92 4.69 0.00 0.00 1.61 0.00 -0.01
time (sec) N/A 0.200 0.107 0.229 0.000 0.395 164.128 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 142 693 0 0 248 0 -1
normalized size 1 1.00 0.96 4.68 0.00 0.00 1.68 0.00 -0.01
time (sec) N/A 0.168 0.073 0.220 0.000 0.413 138.052 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 105 521 0 0 199 0 -1
normalized size 1 1.00 0.98 4.87 0.00 0.00 1.86 0.00 -0.01
time (sec) N/A 0.120 0.050 0.205 0.000 0.395 114.155 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 66 343 0 0 144 0 -1
normalized size 1 1.00 0.96 4.97 0.00 0.00 2.09 0.00 -0.01
time (sec) N/A 0.078 0.033 0.240 0.000 0.414 72.457 0.000 0.000
Problem 333 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 39 39 37 195 0 0 0 0 -1
normalized size 1 1.00 0.95 5.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.075 0.007 0.192 0.000 0.402 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 63 336 0 0 156 0 -1
normalized size 1 1.00 1.43 7.64 0.00 0.00 3.55 0.00 -0.02
time (sec) N/A 0.066 0.034 0.179 0.000 0.406 14.689 0.000 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 88 504 0 0 197 0 -1
normalized size 1 1.00 0.93 5.31 0.00 0.00 2.07 0.00 -0.01
time (sec) N/A 0.147 0.088 0.200 0.000 0.418 64.250 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 124 689 0 0 246 0 -1
normalized size 1 1.00 0.92 5.10 0.00 0.00 1.82 0.00 -0.01
time (sec) N/A 0.177 0.208 0.197 0.000 0.398 88.475 0.000 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 156 209 210 0 280 0 -1
normalized size 1 1.00 0.92 1.23 1.24 0.00 1.65 0.00 -0.01
time (sec) N/A 0.181 0.082 0.069 0.870 0.397 161.983 0.000 0.000
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 125 171 164 0 235 0 -1
normalized size 1 1.00 0.92 1.26 1.21 0.00 1.73 0.00 -0.01
time (sec) N/A 0.152 0.066 0.046 0.936 0.407 136.434 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 99 129 112 0 189 0 -1
normalized size 1 1.00 1.01 1.32 1.14 0.00 1.93 0.00 -0.01
time (sec) N/A 0.110 0.043 0.041 0.942 0.408 112.583 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 64 91 69 0 138 0 -1
normalized size 1 1.00 1.02 1.44 1.10 0.00 2.19 0.00 -0.02
time (sec) N/A 0.070 0.029 0.043 0.887 0.411 71.222 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 34 62 43 0 0 0 -1
normalized size 1 1.00 0.94 1.72 1.19 0.00 0.00 0.00 -0.03
time (sec) N/A 0.071 0.007 0.040 0.848 0.414 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 54 86 67 0 153 0 -1
normalized size 1 1.00 1.32 2.10 1.63 0.00 3.73 0.00 -0.02
time (sec) N/A 0.062 0.025 0.049 0.852 0.413 14.258 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 77 120 96 0 187 0 -1
normalized size 1 1.00 0.92 1.43 1.14 0.00 2.23 0.00 -0.01
time (sec) N/A 0.131 0.089 0.051 0.934 0.410 62.911 0.000 0.000
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 110 163 151 0 233 0 -1
normalized size 1 1.00 0.91 1.35 1.25 0.00 1.93 0.00 -0.01
time (sec) N/A 0.156 0.147 0.053 0.984 0.398 86.814 0.000 0.000
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 52 39 0 0 13
normalized size 1 1.00 1.00 0.82 3.06 2.29 0.00 0.00 0.76
time (sec) N/A 0.065 0.011 0.040 1.562 0.409 0.000 0.000 3.526
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 17 13 45 50 0 0 12
normalized size 1 1.00 1.06 0.81 2.81 3.12 0.00 0.00 0.75
time (sec) N/A 0.063 0.010 0.042 1.642 0.424 0.000 0.000 3.478
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 21 19 64 55 0 0 18
normalized size 1 1.00 1.05 0.95 3.20 2.75 0.00 0.00 0.90
time (sec) N/A 0.069 0.010 0.039 1.674 0.425 0.000 0.000 3.526
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 16 11 72 13 71 0 10
normalized size 1 1.00 1.14 0.79 5.14 0.93 5.07 0.00 0.71
time (sec) N/A 0.077 0.004 0.039 0.753 0.394 9.320 0.000 3.463
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 21 12 81 14 78 0 11
normalized size 1 1.00 1.24 0.71 4.76 0.82 4.59 0.00 0.65
time (sec) N/A 0.087 0.005 0.043 0.612 0.397 11.314 0.000 3.501
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 23 0 0 89 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 3.42 0.00 0.00 -0.04
time (sec) N/A 0.090 0.010 0.931 0.000 0.416 0.000 0.000 0.000
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 140 806 253 193 0 351 -1
normalized size 1 1.00 0.82 4.71 1.48 1.13 0.00 2.05 -0.01
time (sec) N/A 0.215 0.157 0.317 0.746 0.427 0.000 0.780 0.000
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 101 616 180 135 0 257 -1
normalized size 1 1.00 0.71 4.34 1.27 0.95 0.00 1.81 -0.01
time (sec) N/A 0.195 0.116 0.254 0.700 0.426 0.000 0.735 0.000
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 113 61 426 109 76 0 166 -1
normalized size 1 1.26 0.68 4.73 1.21 0.84 0.00 1.84 -0.01
time (sec) N/A 0.117 0.066 0.226 0.735 0.435 0.000 0.545 0.000
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 29 281 48 42 148 80 -1
normalized size 1 1.00 0.76 7.39 1.26 1.11 3.89 2.11 -0.03
time (sec) N/A 0.017 0.010 0.158 0.717 0.421 22.251 0.317 0.000
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 77 77 141 0 0 77 0 0 -1
normalized size 1 1.00 1.83 0.00 0.00 1.00 0.00 0.00 -0.01
time (sec) N/A 0.191 0.146 1.058 0.000 0.441 0.000 0.000 0.000
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 89 0 97 89 0 206 -1
normalized size 1 1.00 1.29 0.00 1.41 1.29 0.00 2.99 -0.01
time (sec) N/A 0.107 0.122 1.266 0.716 0.413 0.000 0.452 0.000
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 137 0 152 167 0 628 -1
normalized size 1 1.00 0.91 0.00 1.01 1.11 0.00 4.19 -0.01
time (sec) N/A 0.215 0.150 1.245 0.770 0.412 0.000 0.477 0.000
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 178 0 210 242 0 1080 -1
normalized size 1 1.00 0.95 0.00 1.12 1.29 0.00 5.74 -0.01
time (sec) N/A 0.234 0.161 1.089 0.814 0.422 0.000 0.639 0.000
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 372 294 285 4156 578 592 0 1009 -1
normalized size 1 0.79 0.77 11.17 1.55 1.59 0.00 2.71 -0.00
time (sec) N/A 0.481 0.259 0.714 1.181 0.446 0.000 1.570 0.000
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 245 207 3038 417 419 0 739 -1
normalized size 1 0.82 0.69 10.19 1.40 1.41 0.00 2.48 -0.00
time (sec) N/A 0.440 0.200 0.510 0.730 0.433 0.000 0.959 0.000
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 195 125 1920 257 244 0 469 -1
normalized size 1 0.86 0.55 8.50 1.14 1.08 0.00 2.08 -0.00
time (sec) N/A 0.303 0.132 0.381 1.143 0.427 0.000 0.753 0.000
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 67 1008 117 124 490 222 -1
normalized size 1 1.00 0.97 14.61 1.70 1.80 7.10 3.22 -0.01
time (sec) N/A 0.050 0.023 0.230 1.068 0.460 68.772 0.593 0.000
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 129 129 502 0 0 178 0 0 -1
normalized size 1 1.00 3.89 0.00 0.00 1.38 0.00 0.00 -0.01
time (sec) N/A 0.301 0.265 1.108 0.000 0.466 0.000 0.000 0.000
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 157 0 0 266 0 0 -1
normalized size 1 1.00 1.14 0.00 0.00 1.93 0.00 0.00 -0.01
time (sec) N/A 0.340 0.452 0.965 0.000 0.441 0.000 0.000 0.000
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 214 214 207 0 0 535 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 2.50 0.00 0.00 -0.00
time (sec) N/A 0.512 0.356 0.953 0.000 0.433 0.000 0.000 0.000
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 346 346 240 0 0 810 0 0 -1
normalized size 1 1.00 0.69 0.00 0.00 2.34 0.00 0.00 -0.00
time (sec) N/A 0.714 0.532 0.980 0.000 0.486 0.000 0.000 0.000
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 613 76 159 525 137 -1
normalized size 1 1.00 1.24 10.39 1.29 2.69 8.90 2.32 -0.02
time (sec) N/A 0.079 0.108 0.272 0.963 0.467 141.142 0.354 0.000
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 613 76 159 525 137 -1
normalized size 1 1.00 1.24 10.39 1.29 2.69 8.90 2.32 -0.02
time (sec) N/A 0.080 0.096 0.267 0.987 0.442 30.317 0.359 0.000
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 613 76 159 525 137 -1
normalized size 1 1.00 1.24 10.39 1.29 2.69 8.90 2.32 -0.02
time (sec) N/A 0.063 0.094 0.264 1.050 0.462 5.849 0.343 0.000
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 54 278 56 64 112 69 -1
normalized size 1 1.00 1.02 5.25 1.06 1.21 2.11 1.30 -0.02
time (sec) N/A 0.088 0.090 0.263 1.017 0.428 9.855 0.376 0.000
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 63 72 613 0 140 644 396 -1
normalized size 1 0.89 1.01 8.63 0.00 1.97 9.07 5.58 -0.01
time (sec) N/A 0.074 0.113 0.232 0.000 0.458 8.939 0.399 0.000
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 63 72 613 0 140 644 397 -1
normalized size 1 0.89 1.01 8.63 0.00 1.97 9.07 5.59 -0.01
time (sec) N/A 0.074 0.116 0.235 0.000 0.490 27.559 0.507 0.000
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 614 76 159 525 137 -1
normalized size 1 1.00 1.24 10.41 1.29 2.69 8.90 2.32 -0.02
time (sec) N/A 0.080 0.093 0.269 1.120 0.428 69.726 0.410 0.000
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 614 76 159 525 137 -1
normalized size 1 1.00 1.24 10.41 1.29 2.69 8.90 2.32 -0.02
time (sec) N/A 0.080 0.095 0.269 0.995 0.465 13.461 0.369 0.000
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 49 53 606 68 138 423 115 -1
normalized size 1 0.86 0.93 10.63 1.19 2.42 7.42 2.02 -0.02
time (sec) N/A 0.034 0.128 0.269 0.961 0.414 2.370 0.387 0.000
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 58 67 614 0 130 449 193 -1
normalized size 1 0.87 1.00 9.16 0.00 1.94 6.70 2.88 -0.01
time (sec) N/A 0.077 0.109 0.222 0.000 0.502 6.862 0.417 0.000
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 63 72 614 0 140 644 397 -1
normalized size 1 0.89 1.01 8.65 0.00 1.97 9.07 5.59 -0.01
time (sec) N/A 0.073 0.117 0.227 0.000 0.436 14.945 0.423 0.000
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 63 72 614 0 140 644 397 -1
normalized size 1 0.89 1.01 8.65 0.00 1.97 9.07 5.59 -0.01
time (sec) N/A 0.072 0.097 0.235 0.000 0.464 53.332 0.468 0.000
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 118 1924 148 489 0 744 -1
normalized size 1 1.00 1.15 18.68 1.44 4.75 0.00 7.22 -0.01
time (sec) N/A 0.156 0.279 0.352 1.093 0.469 0.000 0.497 0.000
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 118 1924 148 488 2162 744 -1
normalized size 1 1.00 1.15 18.68 1.44 4.74 20.99 7.22 -0.01
time (sec) N/A 0.154 0.260 0.345 1.004 0.450 116.276 0.515 0.000
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 116 1922 148 488 2159 744 -1
normalized size 1 1.00 1.14 18.84 1.45 4.78 21.17 7.29 -0.01
time (sec) N/A 0.132 0.240 0.351 1.003 0.488 18.568 0.439 0.000
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 87 90 487 114 115 199 140 -1
normalized size 1 0.84 0.87 4.68 1.10 1.11 1.91 1.35 -0.01
time (sec) N/A 0.134 0.216 0.263 0.992 0.483 13.998 0.431 0.000
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 114 120 1923 0 457 2807 0 -1
normalized size 1 0.84 0.89 14.24 0.00 3.39 20.79 0.00 -0.01
time (sec) N/A 0.163 0.316 0.330 0.000 0.485 15.655 0.000 0.000
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 115 121 1924 0 457 2815 0 -1
normalized size 1 0.85 0.90 14.25 0.00 3.39 20.85 0.00 -0.01
time (sec) N/A 0.164 0.316 0.318 0.000 0.489 49.703 0.000 0.000
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 124 1930 152 497 0 746 -1
normalized size 1 1.00 1.18 18.38 1.45 4.73 0.00 7.10 -0.01
time (sec) N/A 0.160 0.262 0.368 1.063 0.432 0.000 0.403 0.000
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 124 1930 152 497 0 746 -1
normalized size 1 1.00 1.18 18.38 1.45 4.73 0.00 7.10 -0.01
time (sec) N/A 0.160 0.267 0.356 1.059 0.473 0.000 0.377 0.000
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 95 107 1921 144 466 211 244 -1
normalized size 1 0.84 0.95 17.00 1.27 4.12 1.87 2.16 -0.01
time (sec) N/A 0.076 0.167 0.342 1.022 0.477 13.917 0.362 0.000
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 104 121 1927 0 455 204 0 -1
normalized size 1 0.85 0.98 15.67 0.00 3.70 1.66 0.00 -0.01
time (sec) N/A 0.167 0.299 0.334 0.000 0.472 36.634 0.000 0.000
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 109 127 1930 0 466 235 0 -1
normalized size 1 0.86 1.00 15.20 0.00 3.67 1.85 0.00 -0.01
time (sec) N/A 0.173 0.311 0.349 0.000 0.461 93.827 0.000 0.000
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 109 127 1930 0 466 0 0 -1
normalized size 1 0.86 1.00 15.20 0.00 3.67 0.00 0.00 -0.01
time (sec) N/A 0.173 0.313 0.320 0.000 0.478 0.000 0.000 0.000
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 109 127 1930 0 466 0 0 -1
normalized size 1 0.86 1.00 15.20 0.00 3.67 0.00 0.00 -0.01
time (sec) N/A 0.177 0.303 0.339 0.000 0.482 0.000 0.000 0.000
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 172 4021 218 1011 0 1586 -1
normalized size 1 1.00 1.17 27.35 1.48 6.88 0.00 10.79 -0.01
time (sec) N/A 0.381 0.390 0.493 1.034 0.510 0.000 0.567 0.000
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 178 4027 222 1022 0 1588 -1
normalized size 1 1.00 1.19 27.03 1.49 6.86 0.00 10.66 -0.01
time (sec) N/A 0.385 0.357 0.488 1.040 0.511 0.000 0.491 0.000
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 178 4027 222 1024 0 1588 -1
normalized size 1 1.00 1.19 27.03 1.49 6.87 0.00 10.66 -0.01
time (sec) N/A 0.348 0.360 0.488 1.009 0.459 0.000 0.538 0.000
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 124 132 693 172 169 286 210 -1
normalized size 1 0.82 0.87 4.56 1.13 1.11 1.88 1.38 -0.01
time (sec) N/A 0.171 0.374 0.285 1.038 0.438 19.733 0.366 0.000
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 161 181 4027 0 981 350 0 -1
normalized size 1 0.84 0.95 21.08 0.00 5.14 1.83 0.00 -0.01
time (sec) N/A 0.408 0.419 0.490 0.000 0.515 141.143 0.000 0.000
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 161 181 4027 0 980 0 0 -1
normalized size 1 0.84 0.95 21.08 0.00 5.13 0.00 0.00 -0.01
time (sec) N/A 0.397 0.413 0.492 0.000 0.513 0.000 0.000 0.000
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 184 4031 228 1023 0 1588 -1
normalized size 1 1.00 1.22 26.70 1.51 6.77 0.00 10.52 -0.01
time (sec) N/A 0.381 0.367 0.506 1.384 0.497 0.000 0.602 0.000
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 176 4027 224 1022 0 1588 -1
normalized size 1 1.00 1.19 27.21 1.51 6.91 0.00 10.73 -0.01
time (sec) N/A 0.381 0.357 0.502 1.353 0.522 0.000 0.459 0.000
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 141 159 4023 220 983 325 374 -1
normalized size 1 0.83 0.94 23.80 1.30 5.82 1.92 2.21 -0.01
time (sec) N/A 0.103 0.236 0.486 1.442 0.526 22.758 0.329 0.000
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 150 181 4031 0 967 314 0 -1
normalized size 1 0.84 1.01 22.52 0.00 5.40 1.75 0.00 -0.01
time (sec) N/A 0.397 0.416 0.506 0.000 0.468 62.803 0.000 0.000
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 160 180 4027 0 980 350 0 -1
normalized size 1 0.84 0.94 21.08 0.00 5.13 1.83 0.00 -0.01
time (sec) N/A 0.393 0.394 0.489 0.000 0.484 178.894 0.000 0.000
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 155 187 4031 0 981 0 0 -1
normalized size 1 0.85 1.02 22.03 0.00 5.36 0.00 0.00 -0.01
time (sec) N/A 0.412 0.420 0.521 0.000 0.441 0.000 0.000 0.000
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 155 188 4031 0 981 0 0 -1
normalized size 1 0.85 1.03 22.03 0.00 5.36 0.00 0.00 -0.01
time (sec) N/A 0.413 0.411 0.513 0.000 0.442 0.000 0.000 0.000
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F(-2) B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 161 182 4027 0 981 0 0 -1
normalized size 1 0.84 0.95 21.08 0.00 5.14 0.00 0.00 -0.01
time (sec) N/A 0.419 0.415 0.523 0.000 0.441 0.000 0.000 0.000
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 87 0 0 0 0 0 -1
normalized size 1 0.00 3.35 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 0.124 0.785 0.000 0.401 0.000 0.000 0.000
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 24 0 87 0 0 0 0 0 -1
normalized size 1 0.00 3.62 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.041 0.107 0.694 0.000 0.401 0.000 0.000 0.000
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 108 451 0 93 0 0 -1
normalized size 1 1.00 2.00 8.35 0.00 1.72 0.00 0.00 -0.02
time (sec) N/A 0.078 0.121 0.246 0.000 0.411 0.000 0.000 0.000
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 86 0 0 0 0 0 -1
normalized size 1 0.00 3.31 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 0.117 0.763 0.000 0.451 0.000 0.000 0.000
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 87 0 0 0 0 0 -1
normalized size 1 0.00 3.35 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.065 0.115 0.717 0.000 0.446 0.000 0.000 0.000
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 23 0 69 0 0 0 0 0 -1
normalized size 1 0.00 3.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.018 0.086 0.639 0.000 0.430 0.000 0.000 0.000
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 83 0 0 0 0 0 -1
normalized size 1 0.00 3.19 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.066 0.103 0.725 0.000 0.430 0.000 0.000 0.000
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 140 0 0 0 0 0 -1
normalized size 1 0.00 5.38 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 0.262 0.668 0.000 0.447 0.000 0.000 0.000
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 24 0 140 0 0 0 0 0 -1
normalized size 1 0.00 5.83 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.040 0.239 0.743 0.000 0.430 0.000 0.000 0.000
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 102 102 132 715 0 214 0 0 -1
normalized size 1 1.00 1.29 7.01 0.00 2.10 0.00 0.00 -0.01
time (sec) N/A 0.233 0.377 0.298 0.000 0.435 0.000 0.000 0.000
Problem 416 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 NO TBD TBD TBD TBD TBD TBD
size 26 0 205 0 0 0 0 0 -1
normalized size 1 0.00 7.88 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.063 3.160 0.666 0.000 0.408 0.000 0.000 0.000
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 140 0 0 0 0 0 -1
normalized size 1 0.00 5.38 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.063 0.250 0.815 0.000 0.439 0.000 0.000 0.000
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 23 0 161 0 0 0 0 0 -1
normalized size 1 0.00 7.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.017 2.620 0.688 0.000 0.411 0.000 0.000 0.000
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 26 0 135 0 0 0 0 0 -1
normalized size 1 0.00 5.19 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.062 0.205 0.792 0.000 0.414 0.000 0.000 0.000
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 33 0 45 0 0 -1
normalized size 1 1.00 1.00 0.89 0.00 1.22 0.00 0.00 -0.03
time (sec) N/A 0.144 0.019 0.039 0.000 0.442 0.000 0.000 0.000
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 124 132 693 172 169 286 210 -1
normalized size 1 0.82 0.87 4.56 1.13 1.11 1.88 1.38 -0.01
time (sec) N/A 0.154 0.339 0.096 1.021 0.427 20.729 0.305 0.000
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 87 90 487 114 115 199 140 -1
normalized size 1 0.84 0.87 4.68 1.10 1.11 1.91 1.35 -0.01
time (sec) N/A 0.127 0.217 0.075 1.241 0.424 13.252 0.383 0.000
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 54 278 56 64 112 69 -1
normalized size 1 1.00 1.02 5.25 1.06 1.21 2.11 1.30 -0.02
time (sec) N/A 0.085 0.087 0.069 1.101 0.413 10.087 0.369 0.000
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 108 451 0 93 0 0 -1
normalized size 1 1.00 2.00 8.35 0.00 1.72 0.00 0.00 -0.02
time (sec) N/A 0.075 0.108 0.060 0.000 0.437 0.000 0.000 0.000
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 102 102 132 715 0 214 0 0 -1
normalized size 1 1.00 1.29 7.01 0.00 2.10 0.00 0.00 -0.01
time (sec) N/A 0.229 0.299 0.065 0.000 0.418 0.000 0.000 0.000
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 169 169 170 1012 0 401 0 0 -1
normalized size 1 1.00 1.01 5.99 0.00 2.37 0.00 0.00 -0.01
time (sec) N/A 0.409 0.238 0.305 0.000 0.747 0.000 0.000 0.000
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 262 3984 391 521 816 634 -1
normalized size 1 1.00 1.07 16.26 1.60 2.13 3.33 2.59 -0.00
time (sec) N/A 0.303 0.449 0.617 1.356 0.790 50.701 0.468 0.000
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 179 2844 259 353 546 421 -1
normalized size 1 1.00 1.11 17.66 1.61 2.19 3.39 2.61 -0.01
time (sec) N/A 0.237 0.273 0.530 1.375 0.693 33.782 0.320 0.000
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 109 1712 131 193 309 219 -1
normalized size 1 1.00 1.36 21.40 1.64 2.41 3.86 2.74 -0.01
time (sec) N/A 0.139 0.148 0.469 1.259 0.818 25.983 0.318 0.000
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 94 94 270 3012 0 228 0 0 -1
normalized size 1 1.00 2.87 32.04 0.00 2.43 0.00 0.00 -0.01
time (sec) N/A 0.135 0.308 0.338 0.000 0.637 0.000 0.000 0.000
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 182 182 397 0 0 600 0 0 -1
normalized size 1 1.00 2.18 0.00 0.00 3.30 0.00 0.00 -0.01
time (sec) N/A 0.427 0.397 0.985 0.000 0.624 0.000 0.000 0.000
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 267 267 459 0 0 1165 0 0 -1
normalized size 1 1.00 1.72 0.00 0.00 4.36 0.00 0.00 -0.00
time (sec) N/A 0.892 0.607 0.852 0.000 0.799 0.000 0.000 0.000
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 327 327 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.480 0.551 0.594 0.000 0.000 0.000 0.000 0.000
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 284 284 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.391 0.443 0.536 0.000 0.000 0.000 0.000 0.000
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 240 240 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.317 0.350 0.579 0.000 0.000 0.000 0.000 0.000
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 174 174 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 0.269 0.118 0.680 0.000 0.000 0.000 0.000 0.000
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 225 225 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.343 0.300 0.403 0.000 0.000 0.000 0.000 0.000
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 271 271 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.416 0.365 0.416 0.000 0.000 0.000 0.000 0.000
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F(-2) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 314 314 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.471 0.424 0.421 0.000 0.000 0.000 0.000 0.000
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 178 22706 343 4918 0 766 -1
normalized size 1 1.00 0.76 97.45 1.47 21.11 0.00 3.29 -0.00
time (sec) N/A 1.987 0.481 2.055 1.596 1.242 0.000 0.788 0.000
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 124 8737 240 1875 0 528 -1
normalized size 1 1.00 0.75 52.95 1.45 11.36 0.00 3.20 -0.01
time (sec) N/A 0.185 0.260 0.966 1.637 0.846 0.000 0.548 0.000
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 70 2152 137 431 6356 291 -1
normalized size 1 1.00 0.72 22.19 1.41 4.44 65.53 3.00 -0.01
time (sec) N/A 0.103 0.125 0.468 1.102 0.878 116.667 0.517 0.000
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 32 371 57 52 192 95 -1
normalized size 1 1.00 0.70 8.07 1.24 1.13 4.17 2.07 -0.02
time (sec) N/A 0.017 0.014 0.070 1.010 0.972 10.367 0.296 0.000
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 28 0 111 0 0 0 0 0 -1
normalized size 1 0.00 3.96 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.070 0.156 1.096 0.000 0.787 0.000 0.000 0.000
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A A A A
verified N/A N/A NO TBD TBD TBD TBD TBD TBD
size 28 0 177 0 0 0 0 0 -1
normalized size 1 0.00 6.32 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.069 0.386 1.258 0.000 0.770 0.000 0.000 0.000
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 143 0 0 0 0 0 -1
normalized size 1 1.00 1.40 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.590 0.664 0.000 0.834 0.000 0.000 0.000
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 98 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.133 0.345 0.742 0.000 0.759 0.000 0.000 0.000
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 480 480 408 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 0.660 1.898 1.561 0.000 0.664 0.000 0.000 0.000
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 304 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.413 0.970 1.321 0.000 0.636 0.000 0.000 0.000
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 200 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.256 0.462 1.623 0.000 0.881 0.000 0.000 0.000
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 107 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.067 0.067 1.684 0.000 0.717 0.000 0.000 0.000
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-2) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.100 3.068 0.881 0.000 0.797 0.000 0.000 0.000
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A F(-2) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.102 3.252 0.885 0.000 0.743 0.000 0.000 0.000
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 151 108 624 218 215 1090 252 174
normalized size 1 1.31 0.94 5.43 1.90 1.87 9.48 2.19 1.51
time (sec) N/A 0.146 0.179 0.319 1.117 0.849 8.299 0.359 4.002
Problem 455 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 202 278 244 2163 0 0 0 0 -1
normalized size 1 1.38 1.21 10.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.405 0.251 0.389 0.000 0.627 0.000 0.000 0.000
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 408 339 0 0 0 0 0 -1
normalized size 1 1.38 1.15 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.624 0.388 1.747 0.000 0.734 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 [120] had the largest ratio of [.7692]

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 4 3 1.00 19 0.158
2 A 4 3 1.00 19 0.158
3 A 4 3 1.00 17 0.176
4 A 2 1 0.85 16 0.062
5 A 4 3 1.00 19 0.158
6 A 4 4 0.90 19 0.210
7 A 4 4 1.00 19 0.210
8 A 4 3 0.84 19 0.158
9 A 4 4 1.00 21 0.190
10 A 4 4 1.00 21 0.190
11 A 4 4 1.00 19 0.210
12 A 4 4 1.00 18 0.222
13 A 3 3 0.79 21 0.143
14 A 3 3 0.78 21 0.143
15 A 4 4 0.80 21 0.190
16 A 4 4 1.00 21 0.190
17 A 4 4 0.78 21 0.190
18 A 4 4 0.78 21 0.190
19 A 4 4 1.00 21 0.190
20 A 4 4 1.00 21 0.190
21 A 5 4 1.00 19 0.210
22 A 4 4 1.00 18 0.222
23 A 4 3 0.77 21 0.143
24 A 3 3 0.77 21 0.143
25 A 3 3 0.77 21 0.143
26 A 5 4 0.78 21 0.190
27 A 4 4 1.00 21 0.190
28 A 5 6 0.94 21 0.286
29 A 4 4 0.75 21 0.190
30 A 4 4 0.75 21 0.190
31 A 8 6 1.00 21 0.286
32 A 7 6 1.00 21 0.286
33 A 6 5 1.00 19 0.263
34 A 2 2 1.00 18 0.111
35 A 4 4 1.50 21 0.190
36 A 6 6 1.28 21 0.286
37 A 7 6 1.23 21 0.286
38 A 8 6 1.15 21 0.286
39 A 9 8 0.99 21 0.381
40 A 8 7 1.08 21 0.333
41 A 6 6 1.14 19 0.316
42 A 2 2 1.00 18 0.111
43 A 7 7 1.28 21 0.333
44 A 8 8 1.18 21 0.381
45 A 9 8 1.16 21 0.381
46 A 11 9 1.12 21 0.429
47 A 9 8 1.23 21 0.381
48 A 3 2 1.00 19 0.105
49 A 3 2 1.00 18 0.111
50 A 11 9 1.16 21 0.429
51 A 11 9 1.13 21 0.429
52 A 12 9 1.10 21 0.429
53 A 15 10 1.14 21 0.476
54 A 14 9 1.15 21 0.429
55 A 12 8 1.26 21 0.381
56 A 3 2 1.00 21 0.095
57 A 4 4 1.00 19 0.210
58 A 3 2 1.00 18 0.111
59 A 15 9 1.13 21 0.429
60 A 14 9 1.09 21 0.429
61 A 15 9 1.08 21 0.429
62 A 24 10 1.20 21 0.476
63 A 23 9 1.23 21 0.429
64 A 21 8 1.30 21 0.381
65 A 3 2 1.00 21 0.095
66 A 5 6 1.00 21 0.286
67 A 4 4 1.00 21 0.190
68 A 4 4 1.00 21 0.190
69 A 4 4 1.00 19 0.210
70 A 3 2 1.00 18 0.111
71 A 27 9 1.07 21 0.429
72 A 23 9 1.06 21 0.429
73 A 24 9 1.05 21 0.429
74 A 1 1 1.00 13 0.077
75 A 1 1 1.00 14 0.071
76 A 6 3 1.00 21 0.143
77 A 6 3 1.00 19 0.158
78 A 7 5 1.00 18 0.278
79 A 6 5 1.00 21 0.238
80 A 6 5 1.00 21 0.238
81 A 6 3 1.00 21 0.143
82 A 6 3 1.00 21 0.143
83 A 6 3 1.00 21 0.143
84 A 8 3 1.00 23 0.130
85 A 8 3 1.00 21 0.143
86 A 5 4 0.82 20 0.200
87 A 14 8 1.00 23 0.348
88 A 9 7 1.00 23 0.304
89 A 8 5 1.00 23 0.217
90 A 8 3 1.00 23 0.130
91 A 8 3 1.00 23 0.130
92 A 12 8 1.00 23 0.348
93 A 10 8 1.00 23 0.348
94 A 8 6 1.00 21 0.286
95 A 3 3 1.00 20 0.150
96 A 6 6 1.24 23 0.261
97 A 9 8 1.15 23 0.348
98 A 11 8 1.11 23 0.348
99 A 13 8 1.08 23 0.348
100 A 13 10 1.00 23 0.435
101 A 11 8 1.00 23 0.348
102 A 8 6 1.00 21 0.286
103 A 3 3 1.00 20 0.150
104 A 10 9 1.13 23 0.391
105 A 12 10 1.09 23 0.435
106 A 14 10 1.07 23 0.435
107 A 19 14 1.00 23 0.609
108 A 16 12 1.00 23 0.522
109 A 13 10 1.57 21 0.476
110 A 8 8 1.15 20 0.400
111 A 19 13 1.00 23 0.565
112 A 20 16 1.00 23 0.696
113 A 31 15 1.00 23 0.652
114 A 28 13 1.00 23 0.565
115 A 25 11 1.70 23 0.478
116 A 22 10 1.09 21 0.476
117 A 12 9 1.09 20 0.450
118 A 32 14 1.00 23 0.609
119 A 32 17 1.00 23 0.739
120 A 22 10 1.47 13 0.769
121 A 7 7 1.15 23 0.304
122 A 12 9 1.08 23 0.391
123 A 24 11 1.00 23 0.478
124 A 10 7 1.00 20 0.350
125 A 14 7 1.00 22 0.318
126 A 18 7 1.00 22 0.318
127 A 0 0 0.00 0 0.000
128 A 0 0 0.00 0 0.000
129 A 0 0 0.00 0 0.000
130 A 8 7 1.00 23 0.304
131 A 6 6 1.00 23 0.261
132 A 7 7 1.00 21 0.333
133 A 5 4 1.00 20 0.200
134 A 12 11 1.00 23 0.478
135 A 11 9 1.00 23 0.391
136 A 16 11 1.00 23 0.478
137 A 9 7 1.00 23 0.304
138 A 6 6 1.00 23 0.261
139 A 8 7 1.00 21 0.333
140 A 6 4 1.00 20 0.200
141 A 18 11 1.00 23 0.478
142 A 14 10 1.00 23 0.435
143 A 16 11 1.00 23 0.478
144 A 7 7 1.00 23 0.304
145 A 6 6 1.00 23 0.261
146 A 6 7 1.00 21 0.333
147 A 4 4 1.00 20 0.200
148 A 7 8 1.00 23 0.348
149 A 11 10 1.00 23 0.435
150 A 16 11 1.00 23 0.478
151 A 6 6 1.00 23 0.261
152 A 6 6 1.00 23 0.261
153 A 5 6 1.00 21 0.286
154 A 3 3 1.00 20 0.150
155 A 11 10 1.00 23 0.435
156 A 15 12 1.01 23 0.522
157 A 0 0 0.00 0 0.000
158 A 0 0 0.00 0 0.000
159 A 0 0 0.00 0 0.000
160 A 0 0 0.00 0 0.000
161 A 0 0 0.00 0 0.000
162 A 3 3 1.00 23 0.130
163 A 4 4 1.00 23 0.174
164 A 3 2 1.00 21 0.095
165 A 1 1 1.00 16 0.062
166 A 0 0 0.00 0 0.000
167 A 0 0 0.00 0 0.000
168 A 0 0 0.00 0 0.000
169 A 2 2 1.00 14 0.143
170 A 0 0 0.00 0 0.000
171 A 2 2 1.00 21 0.095
172 A 2 2 1.00 21 0.095
173 A 4 3 1.00 19 0.158
174 A 4 4 1.00 21 0.190
175 A 3 3 0.90 21 0.143
176 A 4 3 0.82 21 0.143
177 A 2 2 1.00 21 0.095
178 A 2 2 1.00 21 0.095
179 A 2 1 0.85 18 0.056
180 A 2 2 0.84 21 0.095
181 A 4 3 0.85 21 0.143
182 A 4 3 0.84 21 0.143
183 A 4 5 1.00 23 0.217
184 A 4 5 1.00 23 0.217
185 A 5 5 1.00 21 0.238
186 A 3 4 0.82 23 0.174
187 A 7 6 0.78 23 0.261
188 A 5 5 0.81 23 0.217
189 A 2 2 1.00 23 0.087
190 A 2 2 1.00 23 0.087
191 A 2 2 0.79 20 0.100
192 A 2 2 0.80 23 0.087
193 A 2 2 0.79 23 0.087
194 A 4 4 0.79 23 0.174
195 A 4 4 0.78 23 0.174
196 A 4 5 1.00 23 0.217
197 A 6 6 1.00 23 0.261
198 A 5 5 1.00 21 0.238
199 A 5 5 0.77 23 0.217
200 A 7 6 0.76 23 0.261
201 A 7 6 0.76 23 0.261
202 A 2 2 1.00 23 0.087
203 A 2 2 1.00 23 0.087
204 A 2 2 0.78 20 0.100
205 A 2 2 0.78 23 0.087
206 A 3 3 0.75 23 0.130
207 A 2 2 0.77 23 0.087
208 A 4 4 0.77 23 0.174
209 A 4 4 0.75 23 0.174
210 A 6 6 1.00 23 0.261
211 A 5 6 1.00 23 0.261
212 A 2 2 1.00 21 0.095
213 A 2 2 1.00 23 0.087
214 A 6 7 1.31 23 0.304
215 A 7 7 1.23 23 0.304
216 A 10 9 1.00 23 0.391
217 A 9 8 1.00 23 0.348
218 A 5 5 1.00 20 0.250
219 A 8 8 1.00 23 0.348
220 A 9 8 1.00 23 0.348
221 A 7 8 1.00 23 0.348
222 A 6 7 1.00 23 0.304
223 A 2 2 1.00 21 0.095
224 A 3 3 1.00 23 0.130
225 A 7 8 1.26 23 0.348
226 A 16 10 1.00 23 0.435
227 A 14 8 1.00 23 0.348
228 A 7 6 1.00 20 0.300
229 A 9 9 1.00 23 0.391
230 A 10 9 1.00 23 0.391
231 A 10 9 1.00 23 0.391
232 A 4 3 1.00 23 0.130
233 A 4 3 1.00 21 0.143
234 A 4 3 1.00 23 0.130
235 A 8 8 1.20 23 0.348
236 A 24 9 1.00 23 0.391
237 A 19 9 1.00 23 0.391
238 A 10 7 1.00 20 0.350
239 A 10 9 1.00 23 0.391
240 A 11 9 1.00 23 0.391
241 A 2 2 1.00 18 0.111
242 A 2 2 1.00 19 0.105
243 A 2 3 1.00 12 0.250
244 A 4 4 1.00 10 0.400
245 A 3 4 1.00 19 0.210
246 A 3 4 1.00 21 0.190
247 A 16 6 1.00 22 0.273
248 A 20 6 1.00 22 0.273
249 A 0 0 0.00 0 0.000
250 A 0 0 0.00 0 0.000
251 A 7 8 1.00 25 0.320
252 A 8 9 1.00 25 0.360
253 A 6 5 1.00 23 0.217
254 A 12 9 1.00 25 0.360
255 A 14 11 1.00 25 0.440
256 A 19 13 1.00 25 0.520
257 A 11 12 1.00 25 0.480
258 A 11 11 1.00 22 0.500
259 A 11 10 1.00 25 0.400
260 A 5 4 1.00 25 0.160
261 A 7 8 1.00 25 0.320
262 A 8 9 1.00 25 0.360
263 A 7 8 1.00 25 0.320
264 A 9 9 1.00 25 0.360
265 A 7 5 1.00 23 0.217
266 A 17 9 1.00 25 0.360
267 A 18 12 1.00 25 0.480
268 A 19 13 1.00 25 0.520
269 A 16 11 1.00 22 0.500
270 A 14 12 1.00 25 0.480
271 A 11 10 1.00 25 0.400
272 A 6 4 1.00 25 0.160
273 A 8 8 1.00 25 0.320
274 A 9 9 1.00 25 0.360
275 A 6 5 1.00 13 0.385
276 A 7 8 1.00 25 0.320
277 A 7 9 1.00 25 0.360
278 A 5 5 1.00 23 0.217
279 A 8 9 1.00 25 0.360
280 A 14 12 1.00 25 0.480
281 A 12 12 1.00 25 0.480
282 A 7 7 1.00 22 0.318
283 A 4 4 1.00 25 0.160
284 A 6 8 1.00 25 0.320
285 A 7 9 1.00 25 0.360
286 A 7 8 1.00 25 0.320
287 A 7 8 1.00 25 0.320
288 A 6 8 1.00 25 0.320
289 A 4 4 1.00 23 0.174
290 A 11 9 1.00 25 0.360
291 A 12 11 1.00 25 0.440
292 A 11 11 1.00 25 0.440
293 A 3 3 1.00 22 0.136
294 A 5 7 1.00 25 0.280
295 A 6 8 1.00 25 0.320
296 A 8 10 1.00 25 0.400
297 A 9 8 1.00 25 0.320
298 A 7 8 1.00 25 0.320
299 A 6 8 1.00 25 0.320
300 A 5 5 1.00 23 0.217
301 A 15 9 1.00 25 0.360
302 A 13 13 1.01 25 0.520
303 A 12 13 1.00 25 0.520
304 A 11 11 1.00 25 0.440
305 A 4 4 1.00 25 0.160
306 A 5 5 1.00 22 0.227
307 A 6 9 1.00 25 0.360
308 A 7 10 1.00 25 0.400
309 A 8 10 1.00 33 0.303
310 A 6 6 1.00 31 0.194
311 A 8 9 1.00 33 0.273
312 A 13 11 1.00 33 0.333
313 A 12 12 1.00 33 0.364
314 A 7 7 1.00 30 0.233
315 A 4 4 1.00 33 0.121
316 A 6 8 1.00 33 0.242
317 A 5 5 1.00 13 0.385
318 A 3 3 1.00 25 0.120
319 A 4 4 1.00 25 0.160
320 A 3 2 1.00 23 0.087
321 A 1 1 1.00 16 0.062
322 A 0 0 0.00 0 0.000
323 A 0 0 0.00 0 0.000
324 A 26 6 1.00 22 0.273
325 A 20 6 1.00 22 0.273
326 A 14 11 1.00 20 0.550
327 A 0 0 0.00 0 0.000
328 A 0 0 0.00 0 0.000
329 A 9 7 1.00 23 0.304
330 A 8 7 1.00 23 0.304
331 A 7 7 1.00 21 0.333
332 A 6 6 1.00 20 0.300
333 A 3 3 1.00 23 0.130
334 A 2 2 1.00 23 0.087
335 A 6 7 1.00 23 0.304
336 A 7 7 1.00 23 0.304
337 A 9 7 1.00 21 0.333
338 A 8 7 1.00 21 0.333
339 A 7 7 1.00 19 0.368
340 A 6 6 1.00 18 0.333
341 A 3 3 1.00 21 0.143
342 A 2 2 1.00 21 0.095
343 A 6 7 1.00 21 0.333
344 A 7 7 1.00 21 0.333
345 A 2 2 1.00 22 0.091
346 A 2 2 1.00 23 0.087
347 A 2 2 1.00 25 0.080
348 A 4 4 1.00 18 0.222
349 A 4 4 1.00 18 0.222
350 A 3 3 1.00 22 0.136
351 A 5 4 1.00 27 0.148
352 A 5 4 1.00 27 0.148
353 A 5 4 1.26 25 0.160
354 A 1 1 1.00 18 0.056
355 A 3 3 1.00 27 0.111
356 A 3 3 1.00 27 0.111
357 A 5 4 1.00 27 0.148
358 A 5 4 1.00 27 0.148
359 A 7 7 0.79 29 0.241
360 A 7 8 0.82 29 0.276
361 A 7 8 0.86 27 0.296
362 A 2 2 1.00 20 0.100
363 A 4 4 1.00 29 0.138
364 A 4 4 1.00 29 0.138
365 A 7 7 1.00 29 0.241
366 A 12 9 1.00 29 0.310
367 A 4 3 1.00 21 0.143
368 A 4 3 1.00 21 0.143
369 A 4 3 1.00 19 0.158
370 A 4 4 1.00 21 0.190
371 A 2 2 0.89 21 0.095
372 A 2 2 0.89 21 0.095
373 A 4 3 1.00 21 0.143
374 A 4 3 1.00 21 0.143
375 A 3 2 0.86 18 0.111
376 A 4 3 0.87 21 0.143
377 A 2 2 0.89 21 0.095
378 A 2 2 0.89 21 0.095
379 A 4 4 1.00 23 0.174
380 A 4 4 1.00 23 0.174
381 A 4 4 1.00 21 0.190
382 A 5 6 0.84 23 0.261
383 A 4 4 0.84 23 0.174
384 A 4 4 0.85 23 0.174
385 A 4 4 1.00 23 0.174
386 A 4 4 1.00 23 0.174
387 A 2 2 0.84 20 0.100
388 A 3 3 0.85 23 0.130
389 A 4 4 0.86 23 0.174
390 A 4 4 0.86 23 0.174
391 A 4 4 0.86 23 0.174
392 A 4 4 1.00 23 0.174
393 A 4 4 1.00 23 0.174
394 A 4 4 1.00 21 0.190
395 A 5 6 0.82 23 0.261
396 A 4 4 0.84 23 0.174
397 A 4 4 0.84 23 0.174
398 A 4 4 1.00 23 0.174
399 A 4 4 1.00 23 0.174
400 A 2 2 0.83 20 0.100
401 A 3 3 0.84 23 0.130
402 A 4 4 0.84 23 0.174
403 A 4 4 0.85 23 0.174
404 A 4 4 0.85 23 0.174
405 A 4 4 0.84 23 0.174
406 A 0 0 0.00 0 0.000
407 A 0 0 0.00 0 0.000
408 A 2 2 1.00 23 0.087
409 A 0 0 0.00 0 0.000
410 A 0 0 0.00 0 0.000
411 A 0 0 0.00 0 0.000
412 A 0 0 0.00 0 0.000
413 A 0 0 0.00 0 0.000
414 A 0 0 0.00 0 0.000
415 A 5 5 1.00 23 0.217
416 A 0 0 0.00 0 0.000
417 A 0 0 0.00 0 0.000
418 A 0 0 0.00 0 0.000
419 A 0 0 0.00 0 0.000
420 A 4 4 1.00 25 0.160
421 A 5 6 0.82 23 0.261
422 A 5 6 0.84 23 0.261
423 A 4 4 1.00 21 0.190
424 A 2 2 1.00 23 0.087
425 A 5 5 1.00 23 0.217
426 A 10 8 1.00 23 0.348
427 A 10 5 1.00 25 0.200
428 A 8 5 1.00 25 0.200
429 A 6 5 1.00 23 0.217
430 A 3 3 1.00 25 0.120
431 A 7 6 1.00 25 0.240
432 A 14 8 1.00 25 0.320
433 A 23 9 1.00 25 0.360
434 A 17 9 1.00 25 0.360
435 A 12 9 1.00 25 0.360
436 A 8 9 1.00 25 0.360
437 A 11 9 1.00 25 0.360
438 A 15 9 1.00 25 0.360
439 A 20 9 1.00 25 0.360
440 A 9 5 1.00 25 0.200
441 A 7 5 1.00 25 0.200
442 A 5 4 1.00 23 0.174
443 A 1 1 1.00 16 0.062
444 A 0 0 0.00 0 0.000
445 A 0 0 0.00 0 0.000
446 A 3 3 1.00 26 0.115
447 A 3 3 1.00 32 0.094
448 A 13 4 1.00 27 0.148
449 A 10 4 1.00 27 0.148
450 A 7 4 1.00 25 0.160
451 A 2 2 1.00 18 0.111
452 A 0 0 0.00 0 0.000
453 A 0 0 0.00 0 0.000
454 A 7 5 1.31 23 0.217
455 A 13 10 1.38 25 0.400
456 A 17 11 1.38 25 0.440

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