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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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 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, 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, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492 }

B grade: { 65, 77, 221, 222, 233, 424 }

C grade: { 174 }

F grade: { 393, 493, 494 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 39, 40, 41, 42, 45, 46, 47, 48, 51, 52, 53, 54, 57, 58, 59, 60, 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, 93, 94, 96, 97, 98, 99, 100, 101, 102, 106, 113, 116, 117, 118, 119, 123, 124, 125, 126, 130, 131, 132, 133, 158, 159, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 177, 178, 179, 180, 181, 182, 183, 186, 187, 188, 189, 190, 191, 193, 194, 208, 209, 216, 217, 218, 219, 220, 223, 224, 225, 226, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 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, 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, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 492, 493, 494 }

B grade: { 65, 92, 95, 160, 161, 162, 192, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 221, 222, 421 }

C grade: { 12, 13, 14, 32, 37, 38, 43, 44, 49, 50, 55, 56, 61, 62, 103, 104, 105, 107, 108, 109, 110, 111, 112, 114, 115, 120, 121, 122, 127, 128, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 173, 174, 175, 176, 184, 185, 227, 250, 251, 252, 253, 254, 255, 256, 257, 387, 388, 389, 390, 391, 392, 393, 491 }

F grade: { }

2.1.3 Maple

A grade: { 2, 5, 6, 7, 8, 10, 11, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 33, 34, 35, 36, 39, 40, 41, 42, 45, 46, 47, 48, 51, 52, 53, 54, 57, 58, 59, 60, 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, 93, 94, 96, 97, 98, 99, 100, 117, 118, 119, 123, 124, 125, 126, 130, 131, 132, 133, 158, 159, 164, 165, 166, 167, 172, 173, 175, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 208, 209, 216, 217, 218, 219, 220, 223, 224, 225, 226, 228, 229, 230, 231, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 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, 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, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 422, 423, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 492 }

B grade: { 3, 4, 9, 15, 20, 63, 64, 65, 92, 95, 101, 102, 116, 160, 161, 162, 163, 168, 169, 170, 171, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 221, 222, 227, 232, 337, 338, 400, 421, 424, 443, 491, 494 }

C grade: { 1, 12, 13, 14, 37, 38, 43, 44, 49, 50, 55, 56, 61, 62, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 120, 121, 122, 127, 128, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 174, 250, 251, 252, 253, 254, 255, 256, 257, 387, 388, 389, 390, 391, 392, 393, 493 }

F grade: { 29, 30, 31, 32, 176 }

2.1.4 Maxima

A grade: { 2, 5, 6, 10, 11, 15, 16, 17, 18, 21, 22, 23, 24, 25, 27, 28, 33, 34, 35, 36, 39, 40, 41, 42, 45, 46, 47, 48, 51, 52, 53, 54, 57, 58, 59, 60, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 89, 90, 93, 96, 97, 98, 99, 100, 116, 117, 118, 119, 123, 124, 125, 126, 130, 131, 132, 133, 158, 159, 160, 164, 165, 166, 168, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 195, 196, 198, 199, 208, 209, 216, 217, 218, 219, 220, 223, 224, 225, 226, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 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, 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, 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, 422, 423, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 492 }

B grade: { 3, 4, 7, 8, 9, 19, 20, 63, 64, 65, 66, 67, 68, 74, 87, 88, 91, 92, 94, 95, 101, 102, 161, 162, 163, 167, 169, 170, 171, 194, 197, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 221, 222, 421, 424, 477, 493, 494 }

C grade: { }

F grade: { 1, 12, 13, 14, 26, 29, 30, 31, 32, 37, 38, 43, 44, 49, 50, 55, 56, 61, 62, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 120, 121, 122, 127, 128, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 227, 228, 250, 251, 252, 253, 254, 255, 256, 257, 335, 336, 337, 338, 387, 388, 389, 390, 391, 392, 393, 490, 491 }

2.1.5 FriCAS

A grade: { 1, 2, 5, 6, 10, 11, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 33, 34, 35, 36, 39, 40, 41, 42, 45, 46, 47, 48, 51, 52, 53, 54, 57, 58, 59, 60, 69, 70, 71, 72, 73, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 96, 98, 99, 100, 101, 102, 106, 113, 117, 118, 119, 123, 124, 125, 126, 130, 131, 132, 133, 158, 159, 164, 165, 166, 167, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 208, 209, 216, 217, 218, 219, 220, 224, 225, 226, 228, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 275, 276, 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, 335, 336, 339, 340, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 397, 404, 411, 415, 416, 417, 418, 419, 420, 422, 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, 454, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 478, 479, 480, 481, 482, 485, 486, 487, 488, 489, 490, 491, 492 }

B grade: { 3, 4, 7, 8, 9, 12, 13, 14, 15, 37, 38, 43, 44, 63, 64, 65, 66, 67, 68, 74, 75, 76, 77, 87, 91, 92, 93, 94, 95, 97, 116, 120, 121, 122, 146, 154, 160, 161, 162, 163, 168, 169, 170, 171, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 221, 222, 223, 229, 233, 250, 251, 252, 253, 254, 255, 256, 257, 268, 277, 343, 344, 387, 388, 389, 390, 421, 423, 424, 453, 455, 477, 484, 493, 494 }

C grade: { 49, 50, 55, 56, 103, 104, 105, 107, 108, 109, 334, 341, 368, 393 }

F grade: { 19, 20, 29, 30, 31, 32, 61, 62, 110, 111, 112, 114, 115, 127, 128, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 155, 156, 157, 227, 337, 338, 342, 391, 392, 394, 395, 396, 398, 399, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 483 }

2.1.6 Sympy

A grade: { 1, 5, 10, 11, 12, 13, 14, 16, 17, 21, 22, 23, 24, 25, 27, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 57, 58, 59, 60, 61, 69, 70, 71, 72, 73, 75, 76, 93, 96, 97, 98, 99, 103, 104, 105, 106, 110, 111, 112, 113, 116, 117, 118, 119, 120, 123, 124, 125, 126, 127, 130, 131, 132, 133, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 164, 165, 166, 167, 172, 177, 178, 187, 188, 189, 191, 208, 219, 220, 224, 225, 226, 228, 229, 230, 231, 232, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 256, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 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, 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, 401, 402, 403, 404, 408, 409, 410, 411, 415, 416, 417, 418, 419, 420, 422, 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, 457, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 491, 492 }

B grade: { 3, 4, 6, 7, 8, 9, 15, 26, 50, 55, 56, 62, 63, 64, 65, 66, 67, 68, 74, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 92, 94, 95, 121, 122, 128, 129, 134, 135, 160, 161, 162, 168, 169, 170, 179, 184, 185, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 216, 221, 222, 223, 233, 251, 268, 339, 421, 423, 424, 459, 477, 489, 490, 493, 494 }

C grade: { 32, 89, 90, 91, 257, 279, 458 }

F grade: { 2, 18, 19, 20, 28, 29, 30, 31, 44, 100, 101, 102, 107, 108, 109, 114, 115, 136, 137, 138, 139, 140, 141, 142, 163, 171, 173, 174, 175, 176, 180, 181, 182, 183, 186, 190, 209, 217, 218, 227, 234, 235, 236, 237, 238, 239, 240, 241, 255, 337, 338, 340, 341, 342, 398, 399, 400, 405, 406, 407, 412, 413, 414 }

2.1.7 Giac

A grade: { 1, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 96, 97, 98, 99, 100, 101, 102, 106, 113, 117, 118, 119, 123, 124, 125, 126, 130, 131, 132, 133, 158, 160, 164, 165, 166, 168, 169, 170, 172, 177, 178, 179, 180, 181, 183, 184, 185, 186, 187, 189, 190, 191, 193, 194, 196, 197, 199, 200, 201, 206, 208, 209, 210, 212, 214, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 228, 229, 230, 231, 232, 233, 242, 243, 244, 245, 246, 247, 248, 249, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 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, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 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, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 414, 415, 416, 417, 418, 419, 420, 422, 423, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 486, 487, 488, 489, 490, 491, 492 }

B grade: { 2, 3, 4, 9, 15, 19, 20, 63, 64, 65, 74, 92, 95, 116, 159, 161, 162, 163, 173, 174, 175, 182, 188, 192, 195, 198, 202, 203, 204, 205, 207, 211, 213, 215, 234, 235, 236, 237, 238, 257, 268, 282, 324, 337, 338, 359, 421, 424, 485, 493, 494 }

C grade: { 55, 56 }

F grade: { 29, 30, 31, 32, 43, 44, 49, 50, 61, 62, 103, 104, 105, 107, 108, 109, 110, 111, 112, 114, 115, 120, 121, 122, 127, 128, 129, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 167, 171, 176, 227, 239, 240, 241, 250, 251, 252, 253, 254, 255, 256, 387, 388, 389, 390, 391, 392, 393, 413 }

2.1.8 Mupad

A grade: { }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 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, 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, 168, 169, 170, 172, 173, 175, 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, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494 }

C grade: { }

F grade: { 31, 100, 101, 102, 167, 171, 174, 176, 227 }

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 F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 143 43 0 76 60 55 51
normalized size 1 1.00 1.86 0.56 0.00 0.99 0.78 0.71 0.66
time (sec) N/A 0.134 0.074 0.054 0.000 0.586 0.334 0.221 0.196
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 23 46 25 43 0 73 52
normalized size 1 1.00 0.77 1.53 0.83 1.43 0.00 2.43 1.73
time (sec) N/A 0.018 0.105 0.012 0.489 0.864 0.000 0.196 2.132
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 98 216 97 107 97 97
normalized size 1 1.00 1.00 7.00 15.43 6.93 7.64 6.93 6.93
time (sec) N/A 0.007 0.001 0.003 0.686 0.458 0.088 0.254 2.073
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 65 99 64 66 64 64
normalized size 1 1.00 1.00 4.64 7.07 4.57 4.71 4.57 4.57
time (sec) N/A 0.007 0.001 0.001 0.657 0.425 0.079 0.375 0.028
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 35 35 35 32 31 31 32 31 31
normalized size 1 1.00 1.00 0.91 0.89 0.89 0.91 0.89 0.89
time (sec) N/A 0.007 0.000 0.001 0.735 0.518 0.066 0.283 0.037
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 24 24 26 12 26
normalized size 1 1.00 1.00 0.93 1.71 1.71 1.86 0.86 1.86
time (sec) N/A 0.009 0.005 0.023 0.649 0.590 0.183 0.264 0.034
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 57 57 61 12 59
normalized size 1 1.00 1.00 0.93 4.07 4.07 4.36 0.86 4.21
time (sec) N/A 0.009 0.004 0.003 0.714 0.733 0.349 0.295 2.048
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 90 90 97 12 92
normalized size 1 1.00 1.00 0.93 6.43 6.43 6.93 0.86 6.57
time (sec) N/A 0.008 0.003 0.005 0.538 0.830 0.543 0.392 2.069
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 159 295 204 166 175 166 149
normalized size 1 1.00 1.89 3.51 2.43 1.98 2.08 1.98 1.77
time (sec) N/A 0.125 0.025 0.002 0.676 0.516 0.101 0.273 2.077
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 82 84 93 83 87 83 79
normalized size 1 1.00 1.46 1.50 1.66 1.48 1.55 1.48 1.41
time (sec) N/A 0.068 0.010 0.002 0.636 0.693 0.083 0.344 0.039
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 29 28 28 31 28 28
normalized size 1 1.00 1.00 0.91 0.88 0.88 0.97 0.88 0.88
time (sec) N/A 0.006 0.000 0.001 0.550 0.601 0.064 0.270 0.038
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 63 57 0 387 53 212 174
normalized size 1 1.00 0.34 0.30 0.00 2.06 0.28 1.13 0.93
time (sec) N/A 0.312 0.021 0.005 0.000 0.860 0.406 0.358 0.494
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 112 136 0 704 192 289 247
normalized size 1 1.00 0.46 0.56 0.00 2.87 0.78 1.18 1.01
time (sec) N/A 0.249 0.066 0.020 0.000 0.821 1.225 0.357 2.645
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 149 276 0 1268 474 366 483
normalized size 1 1.00 0.49 0.90 0.00 4.16 1.55 1.20 1.58
time (sec) N/A 0.302 0.090 0.018 0.000 0.779 2.542 0.397 2.983
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 653 861 461 987 1018 971 787
normalized size 1 1.00 1.81 2.39 1.28 2.73 2.82 2.69 2.18
time (sec) N/A 0.658 0.224 0.002 0.680 0.668 0.246 0.268 2.226
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 241 188 180 346 345 346 270
normalized size 1 1.00 1.25 0.97 0.93 1.79 1.79 1.79 1.40
time (sec) N/A 0.231 0.086 0.002 0.625 0.562 0.135 0.415 0.084
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 76 51 50 62 63 54 54
normalized size 1 1.00 1.36 0.91 0.89 1.11 1.12 0.96 0.96
time (sec) N/A 0.016 0.000 0.000 0.827 0.696 0.073 0.232 0.045
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 80 87 112 112 0 137 106
normalized size 1 1.00 0.93 1.01 1.30 1.30 0.00 1.59 1.23
time (sec) N/A 0.073 0.057 0.011 0.647 10.239 0.000 0.307 2.335
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 232 398 2096 0 0 1414 1940
normalized size 1 1.00 0.99 1.70 8.96 0.00 0.00 6.04 8.29
time (sec) N/A 0.405 0.552 0.026 1.539 0.000 0.000 0.392 8.176
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 495 495 490 1076 11005 0 0 6908 82532
normalized size 1 1.00 0.99 2.17 22.23 0.00 0.00 13.96 166.73
time (sec) N/A 1.462 1.192 0.034 5.723 0.000 0.000 1.103 20.456
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 20 25
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.80 1.00
time (sec) N/A 0.015 0.009 0.013 1.453 0.615 0.131 0.305 2.201
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 25 25 24 26 25
normalized size 1 1.00 1.00 0.84 0.81 0.81 0.77 0.84 0.81
time (sec) N/A 0.020 0.007 0.007 1.280 0.753 0.146 0.352 0.053
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 9 8 8 8 8 8
normalized size 1 1.00 1.00 0.90 0.80 0.80 0.80 0.80 0.80
time (sec) N/A 0.001 0.000 0.001 0.626 0.698 0.064 0.274 0.034
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 28 26 19 30 25
normalized size 1 1.00 1.00 1.04 1.00 0.93 0.68 1.07 0.89
time (sec) N/A 0.015 0.006 0.009 0.587 0.890 0.180 0.362 0.060
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 18 15 24 18
normalized size 1 1.00 1.00 0.95 0.91 0.82 0.68 1.09 0.82
time (sec) N/A 0.012 0.007 0.005 0.793 0.776 0.205 0.296 2.134
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 61 62 0 211 564 62 213
normalized size 1 1.00 0.98 1.00 0.00 3.40 9.10 1.00 3.44
time (sec) N/A 0.055 0.082 0.009 0.000 0.864 4.193 0.294 0.465
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 89 91 98 299 20 112 99
normalized size 1 1.00 0.77 0.79 0.85 2.60 0.17 0.97 0.86
time (sec) N/A 0.063 0.036 0.008 1.281 0.832 0.157 0.264 0.233
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 17 16 0 16 16
normalized size 1 1.00 1.00 1.06 1.06 1.00 0.00 1.00 1.00
time (sec) N/A 0.004 0.002 0.002 0.574 0.846 0.000 0.309 2.500
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 53 0 0 0 0 0 56
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 1.02
time (sec) N/A 0.019 0.012 0.089 0.000 0.461 0.000 0.000 2.206
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 59 61 0 0 0 0 0 56
normalized size 1 1.11 1.15 0.00 0.00 0.00 0.00 0.00 1.06
time (sec) N/A 0.023 0.016 0.092 0.000 0.454 0.000 0.000 2.217
Problem 31 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 132 132 157 0 0 0 0 0 -1
normalized size 1 1.00 1.19 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.158 0.360 0.024 0.000 0.453 0.000 0.000 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F C F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 35 44 196 0 0 0 34 0 41
normalized size 1 1.26 5.60 0.00 0.00 0.00 0.97 0.00 1.17
time (sec) N/A 0.009 0.195 0.085 0.000 0.445 10.544 0.000 2.176
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 285 392 372 277 299 277 261
normalized size 1 1.00 1.06 1.45 1.38 1.03 1.11 1.03 0.97
time (sec) N/A 0.539 0.040 0.002 0.628 0.386 0.127 0.235 2.298
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 171 231 205 166 180 166 160
normalized size 1 1.00 1.00 1.35 1.20 0.97 1.05 0.97 0.94
time (sec) N/A 0.092 0.028 0.002 0.802 0.548 0.102 0.243 2.160
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 92 84 94 83 95 83 82
normalized size 1 1.00 1.00 0.91 1.02 0.90 1.03 0.90 0.89
time (sec) N/A 0.043 0.021 0.001 0.570 0.399 0.085 0.252 0.036
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 29 28 28 31 28 28
normalized size 1 1.00 1.00 0.91 0.88 0.88 0.97 0.88 0.88
time (sec) N/A 0.006 0.000 0.002 0.651 0.385 0.067 0.268 0.037
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 529 529 71 64 0 905 88 603 1551
normalized size 1 1.00 0.13 0.12 0.00 1.71 0.17 1.14 2.93
time (sec) N/A 0.896 0.027 0.059 0.000 0.491 1.149 0.336 4.541
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 746 746 182 232 0 3222 427 1057 5844
normalized size 1 1.00 0.24 0.31 0.00 4.32 0.57 1.42 7.83
time (sec) N/A 1.328 0.116 0.018 0.000 0.545 109.971 0.367 4.304
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 345 500 383 353 366 323 331
normalized size 1 1.00 1.17 1.69 1.30 1.20 1.24 1.09 1.12
time (sec) N/A 0.532 0.055 0.002 0.745 0.387 0.137 0.308 0.268
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 207 288 214 205 218 187 201
normalized size 1 1.00 1.02 1.42 1.05 1.01 1.07 0.92 0.99
time (sec) N/A 0.123 0.029 0.001 0.598 0.377 0.109 0.238 2.243
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 109 100 101 99 112 90 98
normalized size 1 1.00 1.02 0.93 0.94 0.93 1.05 0.84 0.92
time (sec) N/A 0.051 0.015 0.000 0.607 0.391 0.087 0.293 0.044
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 34 33 33 36 30 33
normalized size 1 1.00 1.00 0.92 0.89 0.89 0.97 0.81 0.89
time (sec) N/A 0.007 0.000 0.000 0.667 0.377 0.068 0.380 0.043
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 71 67 0 1115 122 0 1264
normalized size 1 1.00 0.46 0.44 0.00 7.29 0.80 0.00 8.26
time (sec) N/A 0.254 0.033 0.066 0.000 0.481 1.835 0.000 3.731
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 234 288 0 4285 0 0 10351
normalized size 1 1.00 0.68 0.84 0.00 12.53 0.00 0.00 30.27
time (sec) N/A 0.532 0.193 0.023 0.000 0.734 0.000 0.000 7.109
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 96 85 84 84 94 84 84
normalized size 1 1.00 1.00 0.89 0.88 0.88 0.98 0.88 0.88
time (sec) N/A 0.030 0.003 0.002 1.248 0.349 0.075 0.307 0.185
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 65 64 64 71 64 64
normalized size 1 1.00 1.00 0.88 0.86 0.86 0.96 0.86 0.86
time (sec) N/A 0.023 0.001 0.001 0.939 0.347 0.070 0.334 0.076
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 45 44 44 49 44 44
normalized size 1 1.00 1.00 0.83 0.81 0.81 0.91 0.81 0.81
time (sec) N/A 0.017 0.001 0.000 0.884 0.377 0.062 0.332 0.032
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 20 19 19 19 19 19
normalized size 1 1.00 1.00 0.87 0.83 0.83 0.83 0.83 0.83
time (sec) N/A 0.003 0.000 0.000 0.911 0.346 0.057 0.315 0.031
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 45 41 0 1015 41 0 123
normalized size 1 1.00 0.17 0.15 0.00 3.79 0.15 0.00 0.46
time (sec) N/A 0.396 0.010 0.015 0.000 1.731 0.955 0.000 2.445
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 357 113 83 0 1201 3834 0 176
normalized size 1 1.00 0.32 0.23 0.00 3.36 10.74 0.00 0.49
time (sec) N/A 0.397 0.018 0.013 0.000 2.233 3.224 0.000 0.207
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 78 77 77 94 77 77
normalized size 1 1.00 1.00 0.80 0.79 0.79 0.97 0.79 0.79
time (sec) N/A 0.028 0.002 0.003 0.570 0.343 0.071 0.364 0.150
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 69 58 57 57 66 57 57
normalized size 1 1.00 1.00 0.84 0.83 0.83 0.96 0.83 0.83
time (sec) N/A 0.020 0.001 0.001 0.455 0.357 0.066 0.362 0.063
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 38 37 37 42 37 37
normalized size 1 1.00 1.00 0.84 0.82 0.82 0.93 0.82 0.82
time (sec) N/A 0.015 0.001 0.001 0.568 0.337 0.062 0.255 0.026
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 19 17 17
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.90 0.81 0.81
time (sec) N/A 0.003 0.000 0.000 0.569 0.344 0.056 0.361 0.028
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 47 41 0 499 3432 265 87
normalized size 1 1.00 0.20 0.18 0.00 2.13 14.67 1.13 0.37
time (sec) N/A 0.315 0.016 0.007 0.000 1.330 2.572 0.520 2.359
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C B C B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 317 108 79 0 704 3834 315 174
normalized size 1 1.00 0.34 0.25 0.00 2.22 12.09 0.99 0.55
time (sec) N/A 0.335 0.024 0.013 0.000 1.345 3.665 0.724 2.207
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 104 85 84 84 100 84 84
normalized size 1 1.00 1.00 0.82 0.81 0.81 0.96 0.81 0.81
time (sec) N/A 0.034 0.002 0.002 0.661 0.368 0.081 0.364 2.230
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 76 65 64 64 73 64 64
normalized size 1 1.00 1.00 0.86 0.84 0.84 0.96 0.84 0.84
time (sec) N/A 0.024 0.001 0.000 0.646 0.344 0.076 0.384 0.078
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 45 44 44 49 44 44
normalized size 1 1.00 1.00 0.87 0.85 0.85 0.94 0.85 0.85
time (sec) N/A 0.016 0.001 0.002 0.610 0.343 0.066 0.357 0.033
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 24 24 27 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.90 0.80 0.80
time (sec) N/A 0.004 0.000 0.001 0.462 0.342 0.058 0.300 0.019
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 55 49 0 0 41 0 123
normalized size 1 1.00 0.21 0.19 0.00 0.00 0.16 0.00 0.47
time (sec) N/A 0.493 0.015 0.008 0.000 0.000 2.372 0.000 0.411
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 366 366 128 96 0 0 3839 0 181
normalized size 1 1.00 0.35 0.26 0.00 0.00 10.49 0.00 0.49
time (sec) N/A 0.508 0.029 0.011 0.000 0.000 3.946 0.000 0.205
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 164 592 163 185 163 163
normalized size 1 1.00 1.00 11.71 42.29 11.64 13.21 11.64 11.64
time (sec) N/A 0.017 0.002 0.003 0.683 0.707 0.114 0.283 0.167
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 109 228 108 114 108 108
normalized size 1 1.00 1.00 7.79 16.29 7.71 8.14 7.71 7.71
time (sec) N/A 0.018 0.001 0.002 0.491 0.684 0.101 0.242 0.061
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 61 61 54 53 53 60 53 53
normalized size 1 4.36 4.36 3.86 3.79 3.79 4.29 3.79 3.79
time (sec) N/A 0.014 0.000 0.001 0.458 0.563 0.074 0.292 0.024
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 46 46 49 12 48
normalized size 1 1.00 1.00 0.93 3.29 3.29 3.50 0.86 3.43
time (sec) N/A 0.018 0.004 0.006 0.690 0.831 0.288 0.354 0.047
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 101 101 109 12 103
normalized size 1 1.00 1.00 0.93 7.21 7.21 7.79 0.86 7.36
time (sec) N/A 0.017 0.004 0.005 0.602 0.616 0.593 0.276 2.105
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 156 156 168 12 158
normalized size 1 1.00 1.00 0.93 11.14 11.14 12.00 0.86 11.29
time (sec) N/A 0.018 0.005 0.005 0.544 0.786 0.936 0.355 3.033
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 31 30 30 29 31 36
normalized size 1 1.00 1.00 0.82 0.79 0.79 0.76 0.82 0.95
time (sec) N/A 0.025 0.008 0.009 1.113 0.793 0.154 0.295 2.165
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 84 65 64 64 80 64 64
normalized size 1 1.00 1.00 0.77 0.76 0.76 0.95 0.76 0.76
time (sec) N/A 0.086 0.002 0.000 0.488 0.488 0.077 0.380 2.166
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 50 49 49 60 49 49
normalized size 1 1.00 1.00 0.79 0.78 0.78 0.95 0.78 0.78
time (sec) N/A 0.076 0.002 0.002 0.727 0.776 0.070 0.365 0.053
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 35 34 34 41 34 34
normalized size 1 1.00 1.00 0.80 0.77 0.77 0.93 0.77 0.77
time (sec) N/A 0.069 0.001 0.003 0.749 0.650 0.064 0.362 0.024
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 22 19 19
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.88 0.76 0.76
time (sec) N/A 0.003 0.000 0.002 0.639 0.716 0.057 0.279 0.032
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 62 42 54 56 63 62 27
normalized size 1 1.00 2.00 1.35 1.74 1.81 2.03 2.00 0.87
time (sec) N/A 0.023 0.018 0.011 1.055 0.878 0.154 0.282 0.066
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 103 84 89 177 104 97 64
normalized size 1 1.00 1.16 0.94 1.00 1.99 1.17 1.09 0.72
time (sec) N/A 0.061 0.063 0.023 1.289 0.819 1.359 0.278 0.084
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 137 126 119 282 134 112 93
normalized size 1 1.00 0.85 0.78 0.74 1.75 0.83 0.70 0.58
time (sec) N/A 0.119 0.092 0.023 1.320 0.884 1.453 0.308 0.089
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 205 132 116 114 223 296 134 126
normalized size 1 2.25 1.45 1.27 1.25 2.45 3.25 1.47 1.38
time (sec) N/A 0.130 0.103 0.022 1.271 0.872 1.426 0.435 2.184
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 73 127 81 198 209 77 87
normalized size 1 1.00 0.94 1.63 1.04 2.54 2.68 0.99 1.12
time (sec) N/A 0.063 0.067 0.012 1.458 0.869 0.694 0.341 2.269
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 54 89 61 157 153 54 206
normalized size 1 1.00 1.08 1.78 1.22 3.14 3.06 1.08 4.12
time (sec) N/A 0.039 0.033 0.007 1.648 0.803 0.462 0.308 0.090
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 38 54 50 136 124 43 46
normalized size 1 1.00 0.93 1.32 1.22 3.32 3.02 1.05 1.12
time (sec) N/A 0.021 0.016 0.003 1.362 0.822 0.250 0.356 2.076
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 28 24 83 54 17 17
normalized size 1 1.00 1.00 1.33 1.14 3.95 2.57 0.81 0.81
time (sec) N/A 0.008 0.004 0.003 1.520 0.659 0.186 0.377 0.043
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 48 72 68 154 738 62 173
normalized size 1 1.00 0.81 1.22 1.15 2.61 12.51 1.05 2.93
time (sec) N/A 0.035 0.041 0.007 1.518 0.841 3.403 0.377 2.588
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 81 123 123 229 1620 117 425
normalized size 1 1.00 1.03 1.56 1.56 2.90 20.51 1.48 5.38
time (sec) N/A 0.086 0.053 0.011 1.591 0.920 11.116 0.367 2.583
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 106 198 197 371 3284 195 573
normalized size 1 1.00 0.88 1.64 1.63 3.07 27.14 1.61 4.74
time (sec) N/A 0.125 0.166 0.010 1.612 0.846 38.258 0.415 2.771
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 34 30 109 61 24 27
normalized size 1 1.00 1.00 1.10 0.97 3.52 1.97 0.77 0.87
time (sec) N/A 0.024 0.012 0.006 1.561 0.723 0.207 0.453 0.057
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 60 86 75 253 117 65 76
normalized size 1 1.00 0.95 1.37 1.19 4.02 1.86 1.03 1.21
time (sec) N/A 0.033 0.035 0.004 1.560 0.562 0.580 0.359 0.098
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 75 147 184 595 257 103 181
normalized size 1 1.00 0.82 1.62 2.02 6.54 2.82 1.13 1.99
time (sec) N/A 0.048 0.071 0.005 1.585 1.008 1.248 0.409 2.221
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 42 66 279 92 30 31
normalized size 1 1.00 1.00 1.20 1.89 7.97 2.63 0.86 0.89
time (sec) N/A 0.035 0.019 0.010 1.404 0.873 0.218 0.446 0.103
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 18 10 24 10 10
normalized size 1 1.00 1.00 1.10 1.80 1.00 2.40 1.00 1.00
time (sec) N/A 0.003 0.005 0.003 1.569 0.850 0.168 0.318 0.040
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 31 59 51 55 56 41 42
normalized size 1 1.00 0.84 1.59 1.38 1.49 1.51 1.11 1.14
time (sec) N/A 0.010 0.014 0.006 1.315 0.815 0.437 0.377 2.066
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 94 115 153 146 73 111
normalized size 1 1.00 0.87 1.57 1.92 2.55 2.43 1.22 1.85
time (sec) N/A 0.016 0.020 0.006 1.505 0.839 0.931 0.304 0.121
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 32 26 25 22 22 27 10
normalized size 1 1.00 3.20 2.60 2.50 2.20 2.20 2.70 1.00
time (sec) N/A 0.003 0.006 0.010 0.490 0.792 0.177 0.384 2.050
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 45 52 56 85 54 56 43
normalized size 1 1.00 1.15 1.33 1.44 2.18 1.38 1.44 1.10
time (sec) N/A 0.013 0.026 0.010 0.624 0.831 0.469 0.351 2.064
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 65 78 122 220 141 88 114
normalized size 1 1.00 1.02 1.22 1.91 3.44 2.20 1.38 1.78
time (sec) N/A 0.022 0.032 0.010 0.641 0.845 1.030 0.357 2.118
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 15 12 11 11 10 13 4
normalized size 1 1.00 3.75 3.00 2.75 2.75 2.50 3.25 1.00
time (sec) N/A 0.002 0.002 0.005 0.571 0.888 0.099 0.355 0.149
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 24 25 39 24 27 23
normalized size 1 1.00 0.96 0.89 0.93 1.44 0.89 1.00 0.85
time (sec) N/A 0.007 0.018 0.008 0.649 0.792 0.117 0.325 0.066
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 37 36 44 71 44 39 36
normalized size 1 1.00 0.82 0.80 0.98 1.58 0.98 0.87 0.80
time (sec) N/A 0.012 0.018 0.010 0.644 0.828 0.144 0.339 2.090
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 64 64 54 54 58 62 55
normalized size 1 1.00 1.08 1.08 0.92 0.92 0.98 1.05 0.93
time (sec) N/A 0.055 0.028 0.004 0.542 0.844 0.171 0.310 0.050
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 11 12 11 11 10 11 11
normalized size 1 1.00 1.10 1.20 1.10 1.10 1.00 1.10 1.10
time (sec) N/A 0.011 0.007 0.001 0.678 0.677 0.086 0.353 0.032
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 51 35 36 35 0 23 -1
normalized size 1 1.00 1.16 0.80 0.82 0.80 0.00 0.52 -0.02
time (sec) N/A 0.026 0.032 0.006 1.289 0.869 0.000 0.386 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 55 152 139 92 0 55 -1
normalized size 1 1.00 0.82 2.27 2.07 1.37 0.00 0.82 -0.01
time (sec) N/A 0.049 0.086 0.020 1.462 0.934 0.000 0.486 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 51 146 135 70 0 70 -1
normalized size 1 1.00 0.81 2.32 2.14 1.11 0.00 1.11 -0.02
time (sec) N/A 0.040 0.088 0.011 0.587 0.849 0.000 0.417 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 132 108 0 6315 238 0 374
normalized size 1 1.00 0.56 0.46 0.00 26.99 1.02 0.00 1.60
time (sec) N/A 0.372 0.055 0.006 0.000 30.343 2.901 0.000 2.460
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 81 74 0 4759 158 0 437
normalized size 1 1.00 0.39 0.35 0.00 22.66 0.75 0.00 2.08
time (sec) N/A 0.228 0.035 0.004 0.000 2.967 0.992 0.000 2.300
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 79 72 0 1950 83 0 145
normalized size 1 1.00 0.44 0.40 0.00 10.83 0.46 0.00 0.81
time (sec) N/A 0.156 0.022 0.003 0.000 2.568 0.700 0.000 0.257
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 116 71 0 442 26 160 144
normalized size 1 1.00 0.83 0.51 0.00 3.16 0.19 1.14 1.03
time (sec) N/A 0.107 0.033 0.002 0.000 0.924 0.261 0.452 2.311
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 238 119 105 0 4370 0 0 553
normalized size 1 1.06 0.53 0.47 0.00 19.51 0.00 0.00 2.47
time (sec) N/A 0.482 0.055 0.010 0.000 2.819 0.000 0.000 0.123
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 312 173 144 0 8919 0 0 1588
normalized size 1 0.99 0.55 0.46 0.00 28.40 0.00 0.00 5.06
time (sec) N/A 0.545 0.105 0.010 0.000 4.139 0.000 0.000 2.329
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F C F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 244 217 0 14765 0 0 1328
normalized size 1 1.00 0.62 0.55 0.00 37.57 0.00 0.00 3.38
time (sec) N/A 0.604 0.170 0.012 0.000 11.496 0.000 0.000 2.489
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 106 97 0 0 374 0 1003
normalized size 1 1.00 0.30 0.27 0.00 0.00 1.05 0.00 2.82
time (sec) N/A 0.426 0.055 0.016 0.000 0.000 3.736 0.000 2.692
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 106 97 0 0 274 0 625
normalized size 1 1.00 0.33 0.31 0.00 0.00 0.86 0.00 1.97
time (sec) N/A 0.312 0.036 0.005 0.000 0.000 2.671 0.000 2.588
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 104 95 0 0 131 0 205
normalized size 1 1.00 0.40 0.36 0.00 0.00 0.50 0.00 0.79
time (sec) N/A 0.264 0.034 0.007 0.000 0.000 0.879 0.000 2.357
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 161 94 0 189 26 103 60
normalized size 1 1.00 0.73 0.43 0.00 0.86 0.12 0.47 0.27
time (sec) N/A 0.185 0.099 0.005 0.000 0.492 0.301 0.501 0.116
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 163 139 0 0 0 0 882
normalized size 1 1.00 0.41 0.35 0.00 0.00 0.00 0.00 2.24
time (sec) N/A 0.466 0.073 0.008 0.000 0.000 0.000 0.000 2.183
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 496 496 238 188 0 0 0 0 2440
normalized size 1 1.00 0.48 0.38 0.00 0.00 0.00 0.00 4.92
time (sec) N/A 0.894 0.132 0.013 0.000 0.000 0.000 0.000 2.479
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 195 264 192 219 199 219 175
normalized size 1 1.00 1.59 2.15 1.56 1.78 1.62 1.78 1.42
time (sec) N/A 0.240 0.037 0.003 0.692 0.365 0.118 0.328 0.215
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 114 138 119 128 114 128 108
normalized size 1 1.00 0.95 1.15 0.99 1.07 0.95 1.07 0.90
time (sec) N/A 0.063 0.020 0.000 0.667 0.364 0.090 0.296 0.095
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 66 63 65 65 65 65 61
normalized size 1 1.00 0.92 0.88 0.90 0.90 0.90 0.90 0.85
time (sec) N/A 0.030 0.008 0.000 0.707 0.371 0.076 0.313 0.039
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 23 22 22 22 22 22
normalized size 1 1.00 1.00 0.88 0.85 0.85 0.85 0.85 0.85
time (sec) N/A 0.004 0.000 0.000 0.627 0.354 0.061 0.303 0.018
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 57 49 0 457 66 0 571
normalized size 1 1.00 0.64 0.55 0.00 5.13 0.74 0.00 6.42
time (sec) N/A 0.087 0.023 0.016 0.000 0.452 0.933 0.000 2.576
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 150 158 0 1948 294 0 4591
normalized size 1 1.00 0.89 0.93 0.00 11.53 1.74 0.00 27.17
time (sec) N/A 0.291 0.075 0.013 0.000 0.437 6.317 0.000 5.352
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 254 398 0 3971 697 0 8242
normalized size 1 1.00 1.01 1.58 0.00 15.76 2.77 0.00 32.71
time (sec) N/A 0.532 0.150 0.023 0.000 0.517 15.616 0.000 6.405
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 204 267 182 222 212 222 178
normalized size 1 1.00 0.97 1.27 0.87 1.06 1.01 1.06 0.85
time (sec) N/A 0.226 0.035 0.003 0.621 0.360 0.123 0.390 0.217
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 130 143 113 133 128 133 113
normalized size 1 1.00 0.97 1.07 0.84 0.99 0.96 0.99 0.84
time (sec) N/A 0.140 0.020 0.002 0.624 0.348 0.098 0.351 2.120
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 75 66 59 68 70 68 64
normalized size 1 1.00 0.95 0.84 0.75 0.86 0.89 0.86 0.81
time (sec) N/A 0.076 0.008 0.000 0.616 0.386 0.077 0.348 0.038
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 27 27 29 27 27
normalized size 1 1.00 1.00 0.80 0.77 0.77 0.83 0.77 0.77
time (sec) N/A 0.010 0.002 0.000 0.611 0.397 0.061 0.360 0.022
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 59 50 0 0 155 0 275
normalized size 1 1.00 0.51 0.43 0.00 0.00 1.34 0.00 2.37
time (sec) N/A 0.083 0.017 0.004 0.000 0.000 4.430 0.000 2.582
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 166 162 0 0 539 0 1167
normalized size 1 1.00 0.72 0.70 0.00 0.00 2.33 0.00 5.05
time (sec) N/A 0.241 0.072 0.012 0.000 0.000 31.420 0.000 2.817
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 284 405 0 0 1102 0 2200
normalized size 1 1.00 0.81 1.16 0.00 0.00 3.16 0.00 6.30
time (sec) N/A 0.369 0.164 0.023 0.000 0.000 88.090 0.000 3.394
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 204 267 182 222 219 222 178
normalized size 1 1.00 0.97 1.27 0.87 1.06 1.04 1.06 0.85
time (sec) N/A 0.164 0.036 0.001 0.639 0.357 0.145 0.243 2.294
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 132 143 113 133 134 133 113
normalized size 1 1.00 0.96 1.04 0.82 0.96 0.97 0.96 0.82
time (sec) N/A 0.121 0.019 0.003 0.563 0.342 0.097 0.285 0.092
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 73 66 59 68 73 68 64
normalized size 1 1.00 0.92 0.84 0.75 0.86 0.92 0.86 0.81
time (sec) N/A 0.077 0.010 0.001 0.546 0.357 0.077 0.287 0.042
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 27 27 29 27 27
normalized size 1 1.00 1.00 0.80 0.77 0.77 0.83 0.77 0.77
time (sec) N/A 0.009 0.004 0.000 0.609 0.345 0.062 0.313 0.021
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 61 52 0 0 172 0 878
normalized size 1 1.00 0.62 0.53 0.00 0.00 1.74 0.00 8.87
time (sec) N/A 0.087 0.016 0.004 0.000 0.000 7.607 0.000 2.783
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 182 160 0 0 561 0 1218
normalized size 1 1.00 0.81 0.71 0.00 0.00 2.49 0.00 5.41
time (sec) N/A 0.213 0.076 0.014 0.000 0.000 43.733 0.000 2.846
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 545 545 99 93 0 0 0 0 1563
normalized size 1 1.00 0.18 0.17 0.00 0.00 0.00 0.00 2.87
time (sec) N/A 1.476 0.069 0.015 0.000 0.000 0.000 0.000 3.175
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-2) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 487 487 99 93 0 0 0 0 1354
normalized size 1 1.00 0.20 0.19 0.00 0.00 0.00 0.00 2.78
time (sec) N/A 0.756 0.049 0.003 0.000 0.000 0.000 0.000 3.104
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 334 334 97 93 0 0 0 0 825
normalized size 1 1.00 0.29 0.28 0.00 0.00 0.00 0.00 2.47
time (sec) N/A 0.470 0.059 0.005 0.000 0.000 0.000 0.000 3.342
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 469 95 91 0 0 0 0 1057
normalized size 1 1.00 0.20 0.19 0.00 0.00 0.00 0.00 2.25
time (sec) N/A 0.684 0.047 0.005 0.000 0.000 0.000 0.000 2.903
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 99 90 0 0 0 0 1394
normalized size 1 1.00 0.19 0.17 0.00 0.00 0.00 0.00 2.67
time (sec) N/A 0.861 0.066 0.005 0.000 0.000 0.000 0.000 0.711
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 563 157 134 0 0 0 0 4002
normalized size 1 1.00 0.28 0.24 0.00 0.00 0.00 0.00 7.11
time (sec) N/A 1.157 0.115 0.009 0.000 0.000 0.000 0.000 2.546
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 645 640 163 133 0 0 0 0 2663
normalized size 1 0.99 0.25 0.21 0.00 0.00 0.00 0.00 4.13
time (sec) N/A 1.380 0.139 0.008 0.000 0.000 0.000 0.000 2.721
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 395 395 61 56 0 0 70 0 427
normalized size 1 1.00 0.15 0.14 0.00 0.00 0.18 0.00 1.08
time (sec) N/A 1.438 0.023 0.008 0.000 0.000 0.257 0.000 0.651
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 61 56 0 0 65 0 390
normalized size 1 1.00 0.16 0.15 0.00 0.00 0.17 0.00 1.03
time (sec) N/A 0.910 0.014 0.009 0.000 0.000 0.275 0.000 2.704
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 61 56 0 0 61 0 276
normalized size 1 1.00 0.17 0.16 0.00 0.00 0.17 0.00 0.76
time (sec) N/A 0.515 0.015 0.009 0.000 0.000 0.247 0.000 0.522
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 59 56 0 1277 48 0 247
normalized size 1 1.00 0.24 0.23 0.00 5.15 0.19 0.00 1.00
time (sec) N/A 0.323 0.013 0.008 0.000 2.004 0.205 0.000 2.679
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 57 54 0 0 61 0 176
normalized size 1 1.00 0.16 0.15 0.00 0.00 0.17 0.00 0.49
time (sec) N/A 0.548 0.016 0.008 0.000 0.000 0.257 0.000 2.423
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 62 53 0 0 65 0 306
normalized size 1 1.00 0.16 0.14 0.00 0.00 0.17 0.00 0.81
time (sec) N/A 0.721 0.013 0.007 0.000 0.000 0.274 0.000 2.675
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 415 415 103 75 0 0 82 0 432
normalized size 1 1.00 0.25 0.18 0.00 0.00 0.20 0.00 1.04
time (sec) N/A 0.902 0.019 0.013 0.000 0.000 0.417 0.000 2.328
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 448 448 109 74 0 0 70 0 340
normalized size 1 1.00 0.24 0.17 0.00 0.00 0.16 0.00 0.76
time (sec) N/A 1.102 0.021 0.011 0.000 0.000 0.319 0.000 0.292
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1064 1064 167 122 0 0 112 0 388
normalized size 1 1.00 0.16 0.11 0.00 0.00 0.11 0.00 0.36
time (sec) N/A 2.504 0.040 0.015 0.000 0.000 0.397 0.000 2.341
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1005 1005 167 122 0 0 112 0 387
normalized size 1 1.00 0.17 0.12 0.00 0.00 0.11 0.00 0.39
time (sec) N/A 2.403 0.030 0.016 0.000 0.000 0.403 0.000 2.304
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 677 677 167 122 0 0 112 0 388
normalized size 1 1.00 0.25 0.18 0.00 0.00 0.17 0.00 0.57
time (sec) N/A 1.553 0.045 0.015 0.000 0.000 0.378 0.000 2.328
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 682 682 167 122 0 1445 104 0 299
normalized size 1 1.00 0.24 0.18 0.00 2.12 0.15 0.00 0.44
time (sec) N/A 1.235 0.026 0.012 0.000 2.972 0.307 0.000 0.314
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 850 850 167 122 0 0 112 0 388
normalized size 1 1.00 0.20 0.14 0.00 0.00 0.13 0.00 0.46
time (sec) N/A 1.470 0.036 0.013 0.000 0.000 0.388 0.000 2.420
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 873 873 167 122 0 0 112 0 387
normalized size 1 1.00 0.19 0.14 0.00 0.00 0.13 0.00 0.44
time (sec) N/A 1.916 0.028 0.013 0.000 0.000 0.397 0.000 2.416
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 986 986 167 122 0 0 112 0 388
normalized size 1 1.00 0.17 0.12 0.00 0.00 0.11 0.00 0.39
time (sec) N/A 1.927 0.035 0.014 0.000 0.000 0.387 0.000 2.478
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 21 21 22 21 21
normalized size 1 1.00 1.00 0.88 0.84 0.84 0.88 0.84 0.84
time (sec) N/A 0.055 0.002 0.000 0.443 0.708 0.094 0.370 0.037
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 79 114 105 105 88 365 106
normalized size 1 1.00 0.84 1.21 1.12 1.12 0.94 3.88 1.13
time (sec) N/A 0.127 0.037 0.005 0.439 0.963 0.308 0.263 0.059
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 172 155 13 154 175 13 154
normalized size 1 1.00 11.47 10.33 0.87 10.27 11.67 0.87 10.27
time (sec) N/A 0.018 0.006 0.003 0.436 0.655 0.131 0.300 2.224
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 182 157 156 156 182 156 156
normalized size 1 1.00 11.38 9.81 9.75 9.75 11.38 9.75 9.75
time (sec) N/A 0.055 0.006 0.002 0.608 0.816 0.136 0.313 0.143
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 186 157 156 156 185 156 156
normalized size 1 1.00 11.62 9.81 9.75 9.75 11.56 9.75 9.75
time (sec) N/A 0.050 0.006 0.002 0.552 0.684 0.139 0.332 2.171
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 230 229 262 0 189 229
normalized size 1 1.00 1.00 10.95 10.90 12.48 0.00 9.00 10.90
time (sec) N/A 0.031 0.118 0.052 0.645 1.042 0.000 1.857 4.019
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 9 9 10 10 8 11 8
normalized size 1 1.00 0.90 0.90 1.00 1.00 0.80 1.10 0.80
time (sec) N/A 0.004 0.004 0.000 0.555 0.776 0.127 0.230 0.050
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 12 18 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 1.20 0.87
time (sec) N/A 0.026 0.006 0.004 0.644 0.854 0.179 0.334 2.081
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 12 15 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 1.00 0.87
time (sec) N/A 0.027 0.005 0.006 0.525 1.003 0.197 0.314 0.060
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 47 23 29 0 -1
normalized size 1 1.00 1.00 1.20 3.13 1.53 1.93 0.00 -0.07
time (sec) N/A 0.025 0.011 0.018 0.577 0.801 1.483 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 14 177 13 81 87 13 12
normalized size 1 1.00 0.93 11.80 0.87 5.40 5.80 0.87 0.80
time (sec) N/A 0.004 0.021 0.018 0.528 0.743 0.933 0.270 4.377
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 197 81 81 87 15 14
normalized size 1 1.00 1.00 12.31 5.06 5.06 5.44 0.94 0.88
time (sec) N/A 0.023 0.029 0.019 0.670 0.821 1.428 0.406 2.225
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 197 81 81 87 15 14
normalized size 1 1.00 1.00 12.31 5.06 5.06 5.44 0.94 0.88
time (sec) N/A 0.023 0.036 0.016 0.800 0.815 2.061 0.304 7.220
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 203 612 143 0 0 -1
normalized size 1 1.00 1.00 9.67 29.14 6.81 0.00 0.00 -0.05
time (sec) N/A 0.032 0.178 0.064 1.034 1.011 0.000 0.000 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 17 24 19 26 46 19 23
normalized size 1 1.00 0.89 1.26 1.00 1.37 2.42 1.00 1.21
time (sec) N/A 0.005 0.009 0.005 0.559 0.785 0.710 0.374 2.095
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 97 31 35 32 0 54 45
normalized size 1 1.00 3.59 1.15 1.30 1.19 0.00 2.00 1.67
time (sec) N/A 0.023 0.075 0.004 0.990 1.213 0.000 0.334 2.213
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C C A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 116 97 142 35 33 0 54 -1
normalized size 1 4.30 3.59 5.26 1.30 1.22 0.00 2.00 -0.04
time (sec) N/A 0.102 0.027 0.259 1.073 0.748 0.000 0.494 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 99 33 35 34 0 58 49
normalized size 1 1.00 3.41 1.14 1.21 1.17 0.00 2.00 1.69
time (sec) N/A 0.024 0.077 0.005 1.013 1.007 0.000 0.346 2.205
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 108 0 39 42 0 0 -1
normalized size 1 1.00 3.00 0.00 1.08 1.17 0.00 0.00 -0.03
time (sec) N/A 0.086 0.166 0.135 1.072 0.872 0.000 0.000 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 26 26 29 26 26
normalized size 1 1.00 1.00 0.84 0.81 0.81 0.91 0.81 0.81
time (sec) N/A 0.034 0.002 0.001 0.781 0.845 0.095 0.313 2.142
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.049 0.001 0.001 0.472 0.820 0.095 0.396 0.019
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 32 31 98 124 31 32
normalized size 1 1.00 1.00 0.76 0.74 2.33 2.95 0.74 0.76
time (sec) N/A 0.057 0.015 0.005 1.489 1.012 0.297 0.404 2.130
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 26 25 38 0 25 54
normalized size 1 1.00 0.92 1.04 1.00 1.52 0.00 1.00 2.16
time (sec) N/A 0.024 0.015 0.003 0.672 0.836 0.000 0.294 2.191
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 21 34 24 36 0 24 46
normalized size 1 1.00 0.88 1.42 1.00 1.50 0.00 1.00 1.92
time (sec) N/A 0.018 0.047 0.005 0.629 0.868 0.000 0.307 2.124
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 24 26 39 35 0 65 51
normalized size 1 1.00 0.96 1.04 1.56 1.40 0.00 2.60 2.04
time (sec) N/A 0.021 0.022 0.006 0.862 1.016 0.000 0.395 2.155
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 21 20 28 0 20 39
normalized size 1 1.00 1.00 1.05 1.00 1.40 0.00 1.00 1.95
time (sec) N/A 0.010 0.008 0.004 0.651 0.831 0.000 0.282 2.143
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 106 26 19 26 73 19 25
normalized size 1 1.00 5.58 1.37 1.00 1.37 3.84 1.00 1.32
time (sec) N/A 0.009 0.066 0.005 0.534 0.913 11.344 0.341 2.127
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 108 23 31 27 76 39 26
normalized size 1 1.00 4.91 1.05 1.41 1.23 3.45 1.77 1.18
time (sec) N/A 0.008 0.036 0.003 1.209 1.072 52.838 0.338 2.161
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 21 23 22 32 0 22 43
normalized size 1 1.00 0.95 1.05 1.00 1.45 0.00 1.00 1.95
time (sec) N/A 0.018 0.012 0.004 0.661 0.767 0.000 0.345 2.138
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 28 21 30 53 21 27
normalized size 1 1.00 0.90 1.33 1.00 1.43 2.52 1.00 1.29
time (sec) N/A 0.012 0.011 0.004 0.594 0.805 1.160 0.310 2.162
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 28 32 31 56 51 28
normalized size 1 1.00 0.92 1.17 1.33 1.29 2.33 2.12 1.17
time (sec) N/A 0.023 0.014 0.003 0.826 0.914 6.170 0.460 2.199
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 23 32 29 53 41 26
normalized size 1 1.00 1.00 1.05 1.45 1.32 2.41 1.86 1.18
time (sec) N/A 0.009 0.010 0.005 0.895 0.981 6.154 0.314 2.188
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 21 23 32 32 0 22 43
normalized size 1 1.00 0.95 1.05 1.45 1.45 0.00 1.00 1.95
time (sec) N/A 0.013 0.006 0.004 0.751 1.228 0.000 0.323 2.142
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 28 32 30 53 21 27
normalized size 1 1.00 0.90 1.33 1.52 1.43 2.52 1.00 1.29
time (sec) N/A 0.012 0.005 0.003 0.930 0.757 1.142 0.398 2.148
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 143 25686 19 1956 1771 160 1576
normalized size 1 1.00 6.81 1223.14 0.90 93.14 84.33 7.62 75.05
time (sec) N/A 0.125 0.151 0.004 0.740 0.558 0.420 0.299 2.979
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 18 5596 18 496 469 18 418
normalized size 1 1.00 0.90 279.80 0.90 24.80 23.45 0.90 20.90
time (sec) N/A 0.052 0.036 0.002 0.633 0.498 0.182 0.314 2.320
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 18 5596 441 496 469 18 418
normalized size 1 1.00 0.95 294.53 23.21 26.11 24.68 0.95 22.00
time (sec) N/A 0.069 0.017 0.002 0.601 0.524 0.170 0.297 2.267
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 127 2185 14 486 483 120 438
normalized size 1 1.00 7.94 136.56 0.88 30.38 30.19 7.50 27.38
time (sec) N/A 0.024 0.056 0.001 0.549 0.529 0.170 0.413 2.628
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 98 89 13 88 97 13 88
normalized size 1 1.00 6.53 5.93 0.87 5.87 6.47 0.87 5.87
time (sec) N/A 0.013 0.003 0.000 0.511 0.647 0.096 0.301 0.050
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 98 89 88 88 97 13 88
normalized size 1 1.00 6.12 5.56 5.50 5.50 6.06 0.81 5.50
time (sec) N/A 0.028 0.003 0.000 0.645 0.774 0.088 0.268 0.040
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 115 2205 16 488 484 136 440
normalized size 1 1.00 6.39 122.50 0.89 27.11 26.89 7.56 24.44
time (sec) N/A 0.044 0.053 0.003 0.623 0.725 0.173 0.430 2.632
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 98 89 15 88 97 15 88
normalized size 1 1.00 5.76 5.24 0.88 5.18 5.71 0.88 5.18
time (sec) N/A 0.025 0.003 0.001 0.661 0.571 0.098 0.373 2.072
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 98 89 88 88 97 15 88
normalized size 1 1.00 7.00 6.36 6.29 6.29 6.93 1.07 6.29
time (sec) N/A 0.227 0.003 0.001 0.525 0.728 0.095 0.234 0.047
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 98 89 88 88 97 15 88
normalized size 1 1.00 7.00 6.36 6.29 6.29 6.93 1.07 6.29
time (sec) N/A 0.011 0.003 0.002 0.659 0.625 0.088 0.256 0.041
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 115 2205 458 488 484 488 440
normalized size 1 1.00 6.39 122.50 25.44 27.11 26.89 27.11 24.44
time (sec) N/A 0.060 0.011 0.002 0.595 1.061 0.169 0.317 0.568
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 98 89 88 88 97 88 88
normalized size 1 1.00 7.00 6.36 6.29 6.29 6.93 6.29 6.29
time (sec) N/A 0.022 0.003 0.001 0.598 0.711 0.094 0.306 0.040
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 98 89 88 88 97 88 88
normalized size 1 1.00 5.44 4.94 4.89 4.89 5.39 4.89 4.89
time (sec) N/A 0.019 0.003 0.002 0.570 0.559 0.096 0.294 0.040
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 98 89 88 88 97 88 88
normalized size 1 1.00 7.00 6.36 6.29 6.29 6.93 6.29 6.29
time (sec) N/A 0.002 0.002 0.000 0.670 0.794 0.088 0.243 0.039
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 80 67 66 66 70 24 66
normalized size 1 1.00 2.86 2.39 2.36 2.36 2.50 0.86 2.36
time (sec) N/A 0.027 0.005 0.002 0.610 0.713 0.086 0.366 0.051
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 108 325 187 208 194 88 180
normalized size 1 1.00 3.48 10.48 6.03 6.71 6.26 2.84 5.81
time (sec) N/A 0.031 0.035 0.001 0.438 0.554 0.114 0.366 0.105
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 31 52 48 230 30 31
normalized size 1 1.00 1.00 0.91 1.53 1.41 6.76 0.88 0.91
time (sec) N/A 0.008 0.059 0.004 1.133 0.793 50.746 0.403 2.121
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 33 54 52 0 32 58
normalized size 1 1.00 1.00 0.94 1.54 1.49 0.00 0.91 1.66
time (sec) N/A 0.009 0.056 0.003 1.159 0.947 0.000 0.251 2.110
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 93 78 77 77 87 24 77
normalized size 1 1.00 3.10 2.60 2.57 2.57 2.90 0.80 2.57
time (sec) N/A 0.020 0.006 0.002 0.438 0.759 0.095 0.220 0.055
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 140 618 280 291 314 105 266
normalized size 1 1.00 4.52 19.94 9.03 9.39 10.13 3.39 8.58
time (sec) N/A 0.038 0.046 0.002 0.455 0.993 0.143 0.336 2.266
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 98 81 80 80 90 30 80
normalized size 1 1.00 2.88 2.38 2.35 2.35 2.65 0.88 2.35
time (sec) N/A 0.033 0.008 0.002 0.439 0.682 0.098 0.294 0.065
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 146 646 289 298 321 126 273
normalized size 1 1.00 3.56 15.76 7.05 7.27 7.83 3.07 6.66
time (sec) N/A 0.045 0.051 0.001 0.446 0.931 0.150 0.312 2.283
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 244 1523 289 309 323 37 270
normalized size 1 1.00 5.30 33.11 6.28 6.72 7.02 0.80 5.87
time (sec) N/A 0.047 0.063 0.002 0.453 0.682 0.157 0.307 2.237
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 248 4284 773 928 930 153 753
normalized size 1 1.00 5.28 91.15 16.45 19.74 19.79 3.26 16.02
time (sec) N/A 0.091 0.123 0.002 0.480 0.627 0.269 0.442 2.450
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 36 31 54 48 201 30 33
normalized size 1 1.00 1.06 0.91 1.59 1.41 5.91 0.88 0.97
time (sec) N/A 0.009 0.068 0.004 1.143 1.017 112.002 0.417 2.111
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 42 37 71 57 0 36 37
normalized size 1 1.00 0.95 0.84 1.61 1.30 0.00 0.82 0.84
time (sec) N/A 0.010 0.086 0.003 1.173 0.643 0.000 0.392 2.210
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 49 43 83 72 0 42 73
normalized size 1 1.00 0.98 0.86 1.66 1.44 0.00 0.84 1.46
time (sec) N/A 0.009 0.193 0.003 1.218 0.831 0.000 0.391 2.170
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 33 30 17 29 29 30 29
normalized size 1 1.00 1.74 1.58 0.89 1.53 1.53 1.58 1.53
time (sec) N/A 0.009 0.002 0.001 0.434 0.773 0.061 0.346 0.025
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 21 18 14 17 17 22 17
normalized size 1 1.00 1.31 1.12 0.88 1.06 1.06 1.38 1.06
time (sec) N/A 0.007 0.002 0.000 0.439 0.816 0.057 0.233 0.034
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 96 96 87 86 86 94 28 86
normalized size 1 2.91 2.91 2.64 2.61 2.61 2.85 0.85 2.61
time (sec) N/A 0.198 0.006 0.001 0.437 0.718 0.082 0.288 0.218
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 96 96 87 86 86 94 28 86
normalized size 1 2.91 2.91 2.64 2.61 2.61 2.85 0.85 2.61
time (sec) N/A 0.154 0.005 0.001 0.449 0.723 0.091 0.360 0.191
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 12 57 56 12 12
normalized size 1 1.00 1.00 0.93 0.86 4.07 4.00 0.86 0.86
time (sec) N/A 0.008 0.006 0.001 0.436 0.829 0.189 0.316 2.100
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 12 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 0.93 0.87
time (sec) N/A 0.009 0.004 0.002 0.442 0.786 0.089 0.371 0.049
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 20 14 15 15 14 18 13
normalized size 1 1.00 1.18 0.82 0.88 0.88 0.82 1.06 0.76
time (sec) N/A 0.010 0.006 0.003 0.448 0.799 0.099 0.270 0.066
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 23 28 23 23 22 24 23
normalized size 1 1.00 0.58 0.70 0.58 0.58 0.55 0.60 0.58
time (sec) N/A 0.097 0.059 0.013 0.503 0.856 32.564 0.536 0.108
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 605 605 98 2105 0 0 0 0 -1
normalized size 1 1.00 0.16 3.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.535 0.069 0.088 0.000 0.000 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 55 82 0 83 58 58 75
normalized size 1 1.00 0.87 1.30 0.00 1.32 0.92 0.92 1.19
time (sec) N/A 0.066 0.029 0.049 0.000 0.756 0.126 0.274 0.185
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 22 38 20 13 12
normalized size 1 1.00 1.00 0.93 1.57 2.71 1.43 0.93 0.86
time (sec) N/A 0.050 0.008 0.007 0.436 0.892 0.096 0.289 0.040
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 24 27 32 46 29 23 21
normalized size 1 1.00 0.86 0.96 1.14 1.64 1.04 0.82 0.75
time (sec) N/A 0.028 0.013 0.006 0.446 1.000 0.109 0.392 0.037
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 28 30 38 38 36 28 28
normalized size 1 1.00 0.47 0.51 0.64 0.64 0.61 0.47 0.47
time (sec) N/A 0.091 0.012 0.006 0.463 0.838 0.181 1.436 0.054
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 41 11 11 8 11 11
normalized size 1 1.00 1.00 3.73 1.00 1.00 0.73 1.00 1.00
time (sec) N/A 0.007 0.007 0.009 0.438 0.733 0.117 0.331 2.301
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 205 132 116 114 223 272 134 124
normalized size 1 2.25 1.45 1.27 1.25 2.45 2.99 1.47 1.36
time (sec) N/A 0.149 0.090 0.019 0.987 0.941 1.362 0.372 2.369
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 26 44 40 0 99 49
normalized size 1 1.00 0.92 1.04 1.76 1.60 0.00 3.96 1.96
time (sec) N/A 0.025 0.375 0.010 0.699 1.247 0.000 2.090 2.656
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 39 39 0 89 39
normalized size 1 1.00 0.91 1.04 1.70 1.70 0.00 3.87 1.70
time (sec) N/A 0.082 0.233 0.010 0.656 0.707 0.000 1.887 2.549
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 39 39 0 89 39
normalized size 1 1.00 0.91 1.04 1.70 1.70 0.00 3.87 1.70
time (sec) N/A 0.059 0.177 0.008 0.629 0.892 0.000 0.728 2.319
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 22 37 37 0 87 37
normalized size 1 1.00 0.90 1.05 1.76 1.76 0.00 4.14 1.76
time (sec) N/A 0.044 0.122 0.005 0.608 0.871 0.000 1.083 2.273
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 17 20 33 33 0 52 19
normalized size 1 1.00 0.89 1.05 1.74 1.74 0.00 2.74 1.00
time (sec) N/A 0.043 0.010 0.006 0.621 0.898 0.000 0.296 2.193
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 36 36 0 0 23
normalized size 1 1.00 0.91 1.04 1.57 1.57 0.00 0.00 1.00
time (sec) N/A 0.034 0.176 0.009 0.619 0.811 0.000 0.000 3.202
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 36 36 0 0 23
normalized size 1 1.00 0.91 1.04 1.57 1.57 0.00 0.00 1.00
time (sec) N/A 0.035 0.199 0.008 0.636 1.041 0.000 0.000 3.319
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 36 36 0 0 23
normalized size 1 1.00 0.91 1.04 1.57 1.57 0.00 0.00 1.00
time (sec) N/A 0.036 0.188 0.008 0.642 1.035 0.000 0.000 3.355
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 83 74 73 79 97 73 97
normalized size 1 1.00 0.86 0.76 0.75 0.81 1.00 0.75 1.00
time (sec) N/A 0.138 0.036 0.007 1.520 0.687 0.245 0.309 0.194
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 78 69 68 74 92 68 92
normalized size 1 1.00 0.87 0.77 0.76 0.82 1.02 0.76 1.02
time (sec) N/A 0.123 0.023 0.006 1.880 0.800 0.247 0.378 0.178
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 72 62 61 67 78 61 85
normalized size 1 1.00 0.94 0.81 0.79 0.87 1.01 0.79 1.10
time (sec) N/A 0.121 0.031 0.005 1.441 0.545 0.232 0.391 2.290
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 69 57 56 62 75 56 80
normalized size 1 1.00 0.96 0.79 0.78 0.86 1.04 0.78 1.11
time (sec) N/A 0.093 0.023 0.005 1.586 1.037 0.232 0.307 2.292
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 65 56 55 61 75 55 79
normalized size 1 1.00 0.92 0.79 0.77 0.86 1.06 0.77 1.11
time (sec) N/A 0.078 0.017 0.006 1.316 0.800 0.225 0.287 0.147
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 69 60 59 65 78 60 83
normalized size 1 1.00 0.92 0.80 0.79 0.87 1.04 0.80 1.11
time (sec) N/A 0.135 0.019 0.007 1.571 0.965 0.288 0.307 0.149
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 78 65 64 76 87 65 88
normalized size 1 1.00 0.93 0.77 0.76 0.90 1.04 0.77 1.05
time (sec) N/A 0.152 0.033 0.009 1.441 0.885 0.315 0.257 2.280
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 82 70 69 89 94 70 92
normalized size 1 1.00 0.90 0.77 0.76 0.98 1.03 0.77 1.01
time (sec) N/A 0.157 0.055 0.010 1.264 0.966 0.321 0.286 0.152
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 307 307 109 74 0 1202 61 0 128
normalized size 1 1.00 0.36 0.24 0.00 3.92 0.20 0.00 0.42
time (sec) N/A 0.578 0.021 0.008 0.000 2.942 0.985 0.000 2.169
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 101 67 0 1145 3662 0 188
normalized size 1 1.00 0.38 0.25 0.00 4.26 13.61 0.00 0.70
time (sec) N/A 0.392 0.016 0.007 0.000 3.031 2.732 0.000 0.134
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 94 62 0 1190 48 0 183
normalized size 1 1.00 0.41 0.27 0.00 5.17 0.21 0.00 0.80
time (sec) N/A 0.357 0.015 0.008 0.000 3.070 0.950 0.000 0.193
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 90 58 0 1189 46 0 181
normalized size 1 1.00 0.45 0.29 0.00 6.01 0.23 0.00 0.91
time (sec) N/A 0.194 0.013 0.007 0.000 3.226 0.914 0.000 2.342
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 101 67 0 1143 60 0 237
normalized size 1 1.00 0.41 0.27 0.00 4.67 0.24 0.00 0.97
time (sec) N/A 0.473 0.020 0.011 0.000 3.241 12.657 0.000 2.342
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 109 72 0 1245 0 0 242
normalized size 1 1.00 0.39 0.26 0.00 4.43 0.00 0.00 0.86
time (sec) N/A 0.467 0.018 0.013 0.000 3.268 0.000 0.000 2.302
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 317 116 77 0 1274 70 0 246
normalized size 1 1.00 0.37 0.24 0.00 4.02 0.22 0.00 0.78
time (sec) N/A 0.539 0.019 0.012 0.000 3.434 2.705 0.000 2.248
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 87 75 0 83 44 87 252
normalized size 1 1.00 4.58 3.95 0.00 4.37 2.32 4.58 13.26
time (sec) N/A 0.105 0.047 0.095 0.000 0.756 1.045 4.080 2.270
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 57 34 33 47 37 34 38
normalized size 1 1.00 1.33 0.79 0.77 1.09 0.86 0.79 0.88
time (sec) N/A 0.067 0.023 0.009 2.104 0.808 0.170 0.254 0.052
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 14 18 21
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.82 1.06 1.24
time (sec) N/A 0.037 0.005 0.008 1.116 0.936 0.131 0.311 2.200
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 21 21 20 24 30
normalized size 1 1.00 1.00 0.88 0.84 0.84 0.80 0.96 1.20
time (sec) N/A 0.037 0.006 0.006 1.147 0.761 0.132 0.254 0.054
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 20 19 18 24 14 28 18
normalized size 1 1.00 0.91 0.86 0.82 1.09 0.64 1.27 0.82
time (sec) N/A 0.013 0.010 0.007 1.095 0.567 0.111 0.366 0.036
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 38 22 21 21 26 22 25
normalized size 1 1.00 1.41 0.81 0.78 0.78 0.96 0.81 0.93
time (sec) N/A 0.039 0.011 0.007 2.309 0.949 0.144 0.286 2.260
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 15 17 17
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.71 0.81 0.81
time (sec) N/A 0.015 0.004 0.001 2.281 0.819 0.082 0.270 0.031
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 24 23 23 22 23 23
normalized size 1 1.00 1.00 0.89 0.85 0.85 0.81 0.85 0.85
time (sec) N/A 0.026 0.007 0.005 2.077 1.073 0.109 0.278 2.140
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 26 25 25 26 29 25
normalized size 1 1.00 1.00 0.67 0.64 0.64 0.67 0.74 0.64
time (sec) N/A 0.020 0.018 0.009 1.273 0.781 0.241 0.317 2.141
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 23 19 18 18 17 19 18
normalized size 1 1.00 1.05 0.86 0.82 0.82 0.77 0.86 0.82
time (sec) N/A 0.015 0.004 0.002 1.133 0.916 0.075 0.281 0.027
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 14 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.93 0.87 0.87
time (sec) N/A 0.029 0.005 0.003 2.301 0.823 0.091 0.341 2.131
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 24 21 20 26 17 22 10
normalized size 1 1.00 2.00 1.75 1.67 2.17 1.42 1.83 0.83
time (sec) N/A 0.021 0.011 0.008 1.078 0.726 0.098 0.297 0.072
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 21 22 19 23 19
normalized size 1 1.00 1.00 0.88 0.84 0.88 0.76 0.92 0.76
time (sec) N/A 0.036 0.006 0.007 1.129 0.872 0.102 0.269 2.139
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 11 11 10 11 11
normalized size 1 1.00 1.00 0.92 0.85 0.85 0.77 0.85 0.85
time (sec) N/A 0.028 0.006 0.005 2.157 0.828 0.114 0.309 0.038
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 31 35 55 36 30 35
normalized size 1 1.00 1.00 0.89 1.00 1.57 1.03 0.86 1.00
time (sec) N/A 0.034 0.017 0.007 2.223 0.778 0.147 0.329 2.125
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 17 17 17 20 17
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.74 0.87 0.74
time (sec) N/A 0.037 0.005 0.009 1.405 0.688 0.138 0.239 2.188
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 20 19 19 19 20 19
normalized size 1 1.00 1.00 0.87 0.83 0.83 0.83 0.87 0.83
time (sec) N/A 0.054 0.007 0.006 1.115 0.922 0.109 0.295 0.055
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 25 24 23 32 20 23 25
normalized size 1 1.00 0.86 0.83 0.79 1.10 0.69 0.79 0.86
time (sec) N/A 0.014 0.010 0.006 2.335 0.893 0.119 0.374 2.125
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 42 41 58 49 43 55
normalized size 1 1.00 1.00 0.95 0.93 1.32 1.11 0.98 1.25
time (sec) N/A 0.243 0.024 0.010 2.248 0.875 0.212 0.363 0.129
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 41 38 38 51 38 88
normalized size 1 1.00 1.00 0.89 0.83 0.83 1.11 0.83 1.91
time (sec) N/A 0.133 0.020 0.005 2.287 0.883 0.213 0.304 0.160
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 34 44 72 41 44 56
normalized size 1 1.00 1.00 1.03 1.33 2.18 1.24 1.33 1.70
time (sec) N/A 0.166 0.022 0.012 1.156 0.852 0.186 0.301 2.162
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 11 11 10 11 11
normalized size 1 1.00 1.00 0.71 0.65 0.65 0.59 0.65 0.65
time (sec) N/A 0.007 0.006 0.007 2.200 0.643 0.141 0.288 0.032
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 21 20 20 34 20 20
normalized size 1 1.00 0.92 0.88 0.83 0.83 1.42 0.83 0.83
time (sec) N/A 0.018 0.009 0.003 2.255 0.757 0.166 0.288 2.134
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 23 18 17 17 17 20 19
normalized size 1 1.00 1.53 1.20 1.13 1.13 1.13 1.33 1.27
time (sec) N/A 0.060 0.006 0.008 2.313 0.959 0.137 0.319 0.056
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 18 17 17 19 17 17
normalized size 1 1.00 1.00 0.90 0.85 0.85 0.95 0.85 0.85
time (sec) N/A 0.012 0.009 0.007 2.398 0.872 0.148 0.375 0.050
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 28 27 44 29 60 35
normalized size 1 1.00 0.89 0.76 0.73 1.19 0.78 1.62 0.95
time (sec) N/A 0.040 0.023 0.007 2.224 0.507 0.164 0.287 2.144
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 22 21 21 26 21 21
normalized size 1 1.00 1.00 0.85 0.81 0.81 1.00 0.81 0.81
time (sec) N/A 0.011 0.008 0.002 2.216 0.595 0.094 0.309 0.030
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 16 10 11 10
normalized size 1 1.00 1.00 0.92 0.83 1.33 0.83 0.92 0.83
time (sec) N/A 0.032 0.004 0.006 1.105 0.700 0.095 0.287 2.125
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 15 20 21
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.71 0.95 1.00
time (sec) N/A 0.030 0.007 0.008 1.092 0.793 0.132 0.282 2.144
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 34 17 20 20
normalized size 1 1.00 1.00 0.95 0.91 1.55 0.77 0.91 0.91
time (sec) N/A 0.015 0.008 0.005 2.231 0.722 0.112 0.282 2.124
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 32 19 20 22
normalized size 1 1.00 1.00 0.88 0.83 1.33 0.79 0.83 0.92
time (sec) N/A 0.016 0.011 0.007 2.176 0.789 0.116 0.405 0.029
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 34 33 33 39 33 56
normalized size 1 1.00 1.00 0.94 0.92 0.92 1.08 0.92 1.56
time (sec) N/A 0.026 0.015 0.005 2.057 0.802 0.188 0.245 0.103
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 28 27 27 29 27 37
normalized size 1 1.00 1.00 0.76 0.73 0.73 0.78 0.73 1.00
time (sec) N/A 0.024 0.008 0.003 2.003 0.752 0.174 0.285 2.136
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 21 21 22 23 21
normalized size 1 1.00 1.00 0.76 0.72 0.72 0.76 0.79 0.72
time (sec) N/A 0.017 0.006 0.006 1.083 0.612 0.109 0.367 2.214
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 15 15 14 16 15
normalized size 1 1.00 1.00 0.84 0.79 0.79 0.74 0.84 0.79
time (sec) N/A 0.013 0.004 0.002 1.066 0.803 0.081 0.266 0.034
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 35 34 34 46 34 36
normalized size 1 1.00 1.00 0.85 0.83 0.83 1.12 0.83 0.88
time (sec) N/A 0.028 0.014 0.005 2.178 0.916 0.118 0.288 0.043
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 39 32 31 31 34 31 31
normalized size 1 1.00 0.95 0.78 0.76 0.76 0.83 0.76 0.76
time (sec) N/A 0.028 0.007 0.004 2.074 1.114 0.118 0.278 2.116
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 24 21 20 20 24 23 20
normalized size 1 1.00 0.80 0.70 0.67 0.67 0.80 0.77 0.67
time (sec) N/A 0.058 0.011 0.007 1.038 0.962 0.152 0.250 2.125
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 27 27 31 30 27
normalized size 1 1.00 1.00 0.80 0.77 0.77 0.89 0.86 0.77
time (sec) N/A 0.040 0.008 0.008 1.118 0.746 0.149 0.324 0.044
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 32 25 24 34 27 34 26
normalized size 1 1.00 0.94 0.74 0.71 1.00 0.79 1.00 0.76
time (sec) N/A 0.057 0.014 0.008 1.133 0.602 0.145 0.387 2.109
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 35 33 44 36 33 39
normalized size 1 1.00 1.00 0.83 0.79 1.05 0.86 0.79 0.93
time (sec) N/A 0.021 0.021 0.006 2.355 0.792 0.131 0.297 2.187
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 38 37 37 46 37 41
normalized size 1 1.00 1.00 0.78 0.76 0.76 0.94 0.76 0.84
time (sec) N/A 0.157 0.013 0.006 2.803 0.624 0.227 0.315 0.072
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 20 19 19 24 22 19
normalized size 1 1.00 1.00 0.69 0.66 0.66 0.83 0.76 0.66
time (sec) N/A 0.053 0.007 0.008 1.166 0.582 0.142 0.275 2.182
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 43 34 33 33 41 34 50
normalized size 1 1.00 0.93 0.74 0.72 0.72 0.89 0.74 1.09
time (sec) N/A 0.044 0.016 0.006 2.161 0.992 0.144 0.317 0.086
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 14 15 14 17 10 15 14
normalized size 1 1.00 0.88 0.94 0.88 1.06 0.62 0.94 0.88
time (sec) N/A 0.025 0.007 0.004 1.085 0.800 0.093 0.397 0.043
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 14 16 17 17 14 12 12
normalized size 1 1.00 0.67 0.76 0.81 0.81 0.67 0.57 0.57
time (sec) N/A 0.019 0.003 0.004 1.088 0.882 0.087 0.301 2.085
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 16 23 23 17 30 15
normalized size 1 1.00 1.00 1.07 1.53 1.53 1.13 2.00 1.00
time (sec) N/A 0.027 0.011 0.005 1.268 0.881 0.114 0.262 2.089
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 29 28 28 3 29 57
normalized size 1 1.00 1.00 0.94 0.90 0.90 0.10 0.94 1.84
time (sec) N/A 0.042 0.012 0.005 2.357 0.889 0.130 0.278 0.112
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 22 19
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.88 0.76
time (sec) N/A 0.042 0.006 0.007 1.088 0.804 0.141 0.287 0.060
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 29 25 24 36 20 26 22
normalized size 1 1.00 0.97 0.83 0.80 1.20 0.67 0.87 0.73
time (sec) N/A 0.030 0.015 0.006 1.212 0.874 0.098 0.276 2.108
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 17 17 17 18 21
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.74 0.78 0.91
time (sec) N/A 0.038 0.005 0.005 2.075 0.733 0.137 0.331 2.121
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 93 73 77 136 88 74 96
normalized size 1 1.00 0.90 0.71 0.75 1.32 0.85 0.72 0.93
time (sec) N/A 0.476 0.043 0.013 2.248 0.702 0.515 0.344 2.200
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 30 28 25 36 24 25 32
normalized size 1 1.00 0.91 0.85 0.76 1.09 0.73 0.76 0.97
time (sec) N/A 0.017 0.011 0.005 2.149 0.916 0.127 0.317 0.035
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 29 44 27 30 33
normalized size 1 1.00 1.00 0.85 0.88 1.33 0.82 0.91 1.00
time (sec) N/A 0.041 0.019 0.008 2.254 0.778 0.149 0.379 2.113
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 24 23 19 17 26 19
normalized size 1 1.00 1.00 0.96 0.92 0.76 0.68 1.04 0.76
time (sec) N/A 0.041 0.005 0.007 1.046 0.564 0.096 0.291 0.043
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 32 31 31 36 31 56
normalized size 1 1.00 1.00 0.89 0.86 0.86 1.00 0.86 1.56
time (sec) N/A 0.115 0.015 0.004 2.096 0.842 0.202 0.336 0.106
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 21 33 22 21 23
normalized size 1 1.00 1.00 0.76 0.72 1.14 0.76 0.72 0.79
time (sec) N/A 0.107 0.017 0.009 2.089 0.990 0.174 0.227 0.042
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 36 35 39 46 36 49
normalized size 1 1.00 1.00 0.78 0.76 0.85 1.00 0.78 1.07
time (sec) N/A 0.058 0.026 0.008 2.093 0.806 0.162 0.296 2.169
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 26 26 19 18 18 17 20 14
normalized size 1 1.18 1.18 0.86 0.82 0.82 0.77 0.91 0.64
time (sec) N/A 0.015 0.006 0.005 0.974 0.853 0.098 0.284 0.039
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 15 18 15
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.88 1.06 0.88
time (sec) N/A 0.039 0.006 0.007 0.850 1.135 0.136 0.381 0.065
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 14 18 14 16 14
normalized size 1 1.00 1.00 1.07 1.00 1.29 1.00 1.14 1.00
time (sec) N/A 0.025 0.004 0.007 0.999 0.773 0.115 0.373 2.120
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 25 18 17 17 17 20 17
normalized size 1 1.00 1.32 0.95 0.89 0.89 0.89 1.05 0.89
time (sec) N/A 0.027 0.007 0.007 1.029 1.139 0.131 0.292 2.116
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 17 17 19 17 33
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.83 0.74 1.43
time (sec) N/A 0.029 0.009 0.006 2.122 1.002 0.183 0.364 0.054
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 57 51 50 50 68 53 58
normalized size 1 1.00 0.90 0.81 0.79 0.79 1.08 0.84 0.92
time (sec) N/A 0.088 0.027 0.010 2.112 0.980 0.346 0.306 2.213
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 86 67 54 59 103 65 59 71
normalized size 1 1.25 0.97 0.78 0.86 1.49 0.94 0.86 1.03
time (sec) N/A 0.099 0.047 0.014 2.070 0.786 0.213 0.236 2.177
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 19 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 1.12 0.71 0.76 0.76
time (sec) N/A 0.013 0.006 0.006 2.043 0.889 0.106 0.302 0.033
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 18 17 17 15 17 17
normalized size 1 1.00 1.00 0.95 0.89 0.89 0.79 0.89 0.89
time (sec) N/A 0.027 0.005 0.004 2.030 0.908 0.101 0.269 2.098
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 7 7 7 28 19
normalized size 1 1.00 1.00 0.89 0.78 0.78 0.78 3.11 2.11
time (sec) N/A 0.075 0.006 0.005 2.166 0.888 0.138 0.292 2.104
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 12 12 12 12
normalized size 1 1.00 1.00 1.08 1.00 1.00 1.00 1.00 1.00
time (sec) N/A 0.016 0.005 0.002 1.375 0.635 0.087 0.295 0.028
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 58 41 51 66 99 55 48
normalized size 1 1.00 0.89 0.63 0.78 1.02 1.52 0.85 0.74
time (sec) N/A 0.062 0.036 0.008 1.771 0.601 0.448 0.295 0.099
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 28 46 24 28 28
normalized size 1 1.00 1.00 1.04 1.00 1.64 0.86 1.00 1.00
time (sec) N/A 0.022 0.011 0.006 1.656 0.625 0.131 0.285 0.038
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 26 26 29 26 26
normalized size 1 1.00 1.00 0.84 0.81 0.81 0.91 0.81 0.81
time (sec) N/A 0.040 0.023 0.004 1.515 0.809 0.103 0.374 0.025
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 41 39 24 23 23 26 27 23
normalized size 1 1.32 1.26 0.77 0.74 0.74 0.84 0.87 0.74
time (sec) N/A 0.049 0.007 0.008 0.797 0.845 0.194 0.308 0.050
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 23 22 26 19 23 30
normalized size 1 1.00 1.00 0.96 0.92 1.08 0.79 0.96 1.25
time (sec) N/A 0.167 0.009 0.006 1.223 0.761 0.155 0.292 2.129
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 19 24 35 20 19 23
normalized size 1 1.00 1.00 0.83 1.04 1.52 0.87 0.83 1.00
time (sec) N/A 0.025 0.011 0.006 1.431 0.845 0.130 0.391 0.033
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 19 24 35 20 19 23
normalized size 1 1.00 1.00 0.83 1.04 1.52 0.87 0.83 1.00
time (sec) N/A 0.039 0.006 0.005 1.416 1.244 0.127 0.274 0.030
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 14 13 15 10 13 13
normalized size 1 1.00 1.00 1.08 1.00 1.15 0.77 1.00 1.00
time (sec) N/A 0.049 0.005 0.005 0.708 0.811 0.100 0.283 2.144
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 193 236 199 4545 138 208 357
normalized size 1 1.00 0.94 1.15 0.97 22.06 0.67 1.01 1.73
time (sec) N/A 0.274 0.107 0.008 1.652 2.993 1.238 0.442 0.231
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 41 0 47 44 38 42
normalized size 1 1.00 1.00 0.91 0.00 1.04 0.98 0.84 0.93
time (sec) N/A 0.067 0.025 0.009 0.000 0.931 0.154 1.109 2.191
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 44 41 0 75 46 42 47
normalized size 1 1.00 0.75 0.69 0.00 1.27 0.78 0.71 0.80
time (sec) N/A 0.064 0.021 0.010 0.000 0.776 0.184 1.803 0.049
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 234 616 0 0 0 1587 3942
normalized size 1 1.00 1.12 2.95 0.00 0.00 0.00 7.59 18.86
time (sec) N/A 0.371 0.255 0.061 0.000 0.000 0.000 4.697 3.437
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 245 633 0 0 0 1625 3046
normalized size 1 1.00 1.09 2.83 0.00 0.00 0.00 7.25 13.60
time (sec) N/A 0.389 0.248 0.060 0.000 0.000 0.000 4.563 3.220
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 57 60 65 190 62 61
normalized size 1 1.00 1.00 1.02 1.07 1.16 3.39 1.11 1.09
time (sec) N/A 0.047 0.027 0.007 0.685 0.709 1.065 0.313 0.213
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 73 87 84 162 0 85 347
normalized size 1 1.00 0.76 0.91 0.88 1.69 0.00 0.89 3.61
time (sec) N/A 0.108 0.035 0.008 1.222 0.735 0.000 0.257 1.131
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 228 336 279 5975 0 320 570
normalized size 1 1.00 0.86 1.27 1.06 22.63 0.00 1.21 2.16
time (sec) N/A 0.472 0.090 0.007 1.706 2.990 0.000 0.302 2.496
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 417 370 422 349 0 0 401 823
normalized size 1 1.00 0.89 1.01 0.84 0.00 0.00 0.96 1.97
time (sec) N/A 0.547 0.230 0.014 1.481 0.000 0.000 0.567 2.449
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 24 21 20 26 19 21 12
normalized size 1 1.00 1.50 1.31 1.25 1.62 1.19 1.31 0.75
time (sec) N/A 0.008 0.009 0.007 0.753 0.674 0.105 0.239 0.039
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 27 24 23 34 20 30 17
normalized size 1 1.00 1.42 1.26 1.21 1.79 1.05 1.58 0.89
time (sec) N/A 0.013 0.011 0.009 0.651 0.484 0.118 0.303 2.138
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 85 90 75 106 92 77 103
normalized size 1 1.00 0.88 0.93 0.77 1.09 0.95 0.79 1.06
time (sec) N/A 0.071 0.050 0.012 1.934 0.697 0.361 0.314 0.177
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 0.87 0.87
time (sec) N/A 0.106 0.008 0.005 1.400 0.633 0.120 0.289 2.120
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 11 11 10 11 11
normalized size 1 1.00 1.00 0.92 0.85 0.85 0.77 0.85 0.85
time (sec) N/A 0.094 0.007 0.004 1.327 0.547 0.117 0.298 0.035
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 25 24 24 29 24 51
normalized size 1 1.00 1.00 0.86 0.83 0.83 1.00 0.83 1.76
time (sec) N/A 0.118 0.014 0.004 1.479 0.574 0.193 0.259 2.153
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 14 17 10 14 14
normalized size 1 1.00 1.00 1.07 1.00 1.21 0.71 1.00 1.00
time (sec) N/A 0.011 0.008 0.004 2.074 0.571 0.138 0.253 0.042
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 12 7 11 10
normalized size 1 1.00 1.00 0.92 0.83 1.00 0.58 0.92 0.83
time (sec) N/A 0.011 0.003 0.004 0.752 0.597 0.091 0.418 0.037
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 9 9 8 10 17
normalized size 1 1.00 1.00 0.91 0.82 0.82 0.73 0.91 1.55
time (sec) N/A 0.034 0.005 0.006 1.608 0.646 0.131 0.292 2.166
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 13 8 11 10
normalized size 1 1.00 1.00 0.92 0.83 1.08 0.67 0.92 0.83
time (sec) N/A 0.021 0.003 0.005 0.714 0.516 0.091 0.384 0.039
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 12 12 14 12
normalized size 1 1.00 1.00 1.08 1.00 1.00 1.00 1.17 1.00
time (sec) N/A 0.018 0.003 0.005 0.596 0.564 0.105 0.229 0.047
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 15 16 23
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.88 0.94 1.35
time (sec) N/A 0.037 0.005 0.005 1.532 0.570 0.133 0.243 2.284
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 14 13 13 10 14 19
normalized size 1 1.00 1.00 1.08 1.00 1.00 0.77 1.08 1.46
time (sec) N/A 0.035 0.008 0.006 1.410 0.631 0.132 0.343 0.060
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 22 21 20 26 20 22 20
normalized size 1 1.00 0.79 0.75 0.71 0.93 0.71 0.79 0.71
time (sec) N/A 0.011 0.015 0.007 0.662 0.593 0.112 0.297 0.069
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 26 37 26 43 22
normalized size 1 1.00 1.00 0.84 0.81 1.16 0.81 1.34 0.69
time (sec) N/A 0.026 0.017 0.009 0.746 0.530 0.134 0.298 2.226
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 28 20 19 19 19 20 25
normalized size 1 1.00 1.22 0.87 0.83 0.83 0.83 0.87 1.09
time (sec) N/A 0.034 0.008 0.005 1.558 0.712 0.136 0.310 0.049
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 21 20 36 20 47 28
normalized size 1 1.00 0.92 0.88 0.83 1.50 0.83 1.96 1.17
time (sec) N/A 0.035 0.014 0.007 1.600 0.566 0.141 0.303 2.111
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 40 39 37 44 39 41
normalized size 1 1.00 1.00 0.82 0.80 0.76 0.90 0.80 0.84
time (sec) N/A 0.142 0.014 0.007 1.708 0.657 0.224 0.283 2.156
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 19 20 19 19 19 22 19
normalized size 1 1.00 0.76 0.80 0.76 0.76 0.76 0.88 0.76
time (sec) N/A 0.055 0.008 0.006 1.067 0.520 0.145 0.392 2.135
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 54 48 47 60 63 60 61
normalized size 1 1.00 0.90 0.80 0.78 1.00 1.05 1.00 1.02
time (sec) N/A 0.246 0.053 0.009 2.798 0.732 0.252 0.343 0.130
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 9 9 5 9 6
normalized size 1 1.00 1.00 0.91 0.82 0.82 0.45 0.82 0.55
time (sec) N/A 0.007 0.000 0.000 0.845 0.731 0.060 0.227 0.016
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 21 21 22 23 21
normalized size 1 1.00 1.00 0.76 0.72 0.72 0.76 0.79 0.72
time (sec) N/A 0.016 0.005 0.005 1.096 0.615 0.108 0.355 2.124
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 37 37 52 37 37 49
normalized size 1 1.00 1.00 0.82 0.82 1.16 0.82 0.82 1.09
time (sec) N/A 0.025 0.013 0.007 1.839 0.709 0.137 0.299 0.041
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 29 28 52 29 29 44
normalized size 1 1.00 1.00 0.91 0.88 1.62 0.91 0.91 1.38
time (sec) N/A 0.254 0.019 0.010 2.025 0.626 0.263 0.325 0.069
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 159 110 132 178 146 122 124
normalized size 1 1.00 1.07 0.74 0.89 1.20 0.99 0.82 0.84
time (sec) N/A 0.136 0.068 0.011 2.009 0.758 0.429 0.388 2.189
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 101 79 99 515 61 92 170
normalized size 1 1.00 0.90 0.71 0.88 4.60 0.54 0.82 1.52
time (sec) N/A 0.114 0.049 0.007 2.058 2.414 0.965 0.390 2.228
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 12 12 10 14 12
normalized size 1 1.00 1.00 0.93 0.86 0.86 0.71 1.00 0.86
time (sec) N/A 0.016 0.003 0.005 0.907 0.751 0.103 0.262 0.044
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 12 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 1.00 0.83
time (sec) N/A 0.029 0.005 0.004 1.005 0.628 0.098 0.372 2.138
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 21 14 17 15
normalized size 1 1.00 1.00 0.94 0.88 1.24 0.82 1.00 0.88
time (sec) N/A 0.030 0.004 0.007 0.892 0.697 0.108 0.319 0.027
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 14 17 15
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.82 1.00 0.88
time (sec) N/A 0.029 0.004 0.005 0.900 0.620 0.100 0.260 0.033
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 16 25 15 23 16
normalized size 1 1.00 1.00 0.94 0.89 1.39 0.83 1.28 0.89
time (sec) N/A 0.030 0.004 0.006 1.921 0.666 0.105 0.267 0.050
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 14 7 11 10
normalized size 1 1.00 1.00 1.10 1.00 1.40 0.70 1.10 1.00
time (sec) N/A 0.019 0.005 0.005 0.892 0.784 0.086 0.361 0.034
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 31 30 30 36 33 30
normalized size 1 1.00 1.00 0.74 0.71 0.71 0.86 0.79 0.71
time (sec) N/A 0.040 0.007 0.008 0.878 0.592 0.151 0.287 0.053
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 41 38 38 51 38 88
normalized size 1 1.00 1.00 0.89 0.83 0.83 1.11 0.83 1.91
time (sec) N/A 0.125 0.017 0.002 1.972 0.769 0.212 0.355 0.002
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 15 15 14 17 8
normalized size 1 1.00 1.00 0.84 0.79 0.79 0.74 0.89 0.42
time (sec) N/A 0.062 0.003 0.007 1.026 0.522 0.109 0.281 0.084
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 31 30 30 34 32 26
normalized size 1 1.00 1.00 0.78 0.75 0.75 0.85 0.80 0.65
time (sec) N/A 0.021 0.005 0.007 0.995 0.627 0.119 0.284 2.093
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 26 25 25 27 27 21
normalized size 1 1.00 1.00 0.79 0.76 0.76 0.82 0.82 0.64
time (sec) N/A 0.020 0.004 0.006 1.020 0.646 0.117 0.343 0.033
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 21 20 20 20 22 16
normalized size 1 1.00 1.00 0.81 0.77 0.77 0.77 0.85 0.62
time (sec) N/A 0.015 0.005 0.006 1.027 0.832 0.117 0.270 2.117
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 17 19 13
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.81 0.90 0.62
time (sec) N/A 0.007 0.003 0.003 1.173 0.599 0.109 0.286 2.110
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 15 19 8
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.71 0.90 0.38
time (sec) N/A 0.010 0.003 0.005 0.926 0.731 0.110 0.275 0.078
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 22 21 21 24 24 17
normalized size 1 1.00 1.00 0.81 0.78 0.78 0.89 0.89 0.63
time (sec) N/A 0.016 0.004 0.008 0.916 0.732 0.148 0.373 0.095
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 27 26 30 31 29 22
normalized size 1 1.00 1.00 0.79 0.76 0.88 0.91 0.85 0.65
time (sec) N/A 0.030 0.004 0.008 1.062 0.537 0.162 0.266 0.035
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 32 31 39 36 34 26
normalized size 1 1.00 1.00 0.78 0.76 0.95 0.88 0.83 0.63
time (sec) N/A 0.034 0.005 0.008 1.015 0.591 0.170 0.276 0.036
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 37 36 44 41 39 32
normalized size 1 1.00 1.00 0.77 0.75 0.92 0.85 0.81 0.67
time (sec) N/A 0.041 0.005 0.009 1.071 0.883 0.182 0.238 0.037
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 61 54 0 1506 41 0 144
normalized size 1 1.00 0.39 0.34 0.00 9.59 0.26 0.00 0.92
time (sec) N/A 0.168 0.016 0.014 0.000 2.684 0.225 0.000 2.745
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 61 56 0 1546 41 0 142
normalized size 1 1.00 0.39 0.36 0.00 9.85 0.26 0.00 0.90
time (sec) N/A 0.112 0.017 0.015 0.000 2.520 0.227 0.000 2.805
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 61 54 0 2271 39 0 142
normalized size 1 1.00 0.32 0.29 0.00 12.08 0.21 0.00 0.76
time (sec) N/A 0.276 0.013 0.008 0.000 2.944 0.211 0.000 2.780
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 61 56 0 2259 39 0 142
normalized size 1 1.00 0.32 0.30 0.00 12.02 0.21 0.00 0.76
time (sec) N/A 0.156 0.013 0.010 0.000 2.704 0.212 0.000 2.740
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 663 663 63 69 0 0 133 0 328
normalized size 1 1.00 0.10 0.10 0.00 0.00 0.20 0.00 0.49
time (sec) N/A 1.108 0.037 0.074 0.000 0.000 3.924 0.000 2.699
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 663 663 63 69 0 0 133 0 328
normalized size 1 1.00 0.10 0.10 0.00 0.00 0.20 0.00 0.49
time (sec) N/A 0.648 0.031 0.002 0.000 0.000 3.920 0.000 0.002
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F C C F C A F B
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 168 0 95 67 0 5653 42 0 504
normalized size 1 0.00 0.57 0.40 0.00 33.65 0.25 0.00 3.00
time (sec) N/A 0.380 0.061 0.278 0.000 2.699 1.866 0.000 3.082
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 322 314 310 0 384 311 894
normalized size 1 1.00 1.01 0.98 0.97 0.00 1.20 0.97 2.79
time (sec) N/A 0.256 0.249 0.011 1.956 0.000 5.289 0.361 2.843
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 243 292 275 0 277 285 556
normalized size 1 1.00 0.84 1.00 0.95 0.00 0.95 0.98 1.91
time (sec) N/A 0.198 0.100 0.003 2.047 0.000 2.678 0.336 2.657
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 184 151 207 0 124 215 160
normalized size 1 1.00 0.84 0.69 0.95 0.00 0.57 0.98 0.73
time (sec) N/A 0.174 0.059 0.002 2.666 0.000 0.823 0.316 2.323
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 134 128 169 121 20 179 33
normalized size 1 1.00 0.72 0.69 0.91 0.65 0.11 0.97 0.18
time (sec) N/A 0.098 0.018 0.003 2.367 0.421 0.161 0.325 0.083
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 404 433 345 0 0 371 874
normalized size 1 1.00 0.97 1.04 0.83 0.00 0.00 0.89 2.10
time (sec) N/A 0.428 0.149 0.007 2.727 0.000 0.000 0.422 0.418
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 552 552 524 866 561 0 0 646 2436
normalized size 1 1.00 0.95 1.57 1.02 0.00 0.00 1.17 4.41
time (sec) N/A 0.808 0.606 0.010 2.109 0.000 0.000 2.780 2.779
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 680 680 738 1201 817 0 0 901 1955
normalized size 1 1.00 1.09 1.77 1.20 0.00 0.00 1.32 2.88
time (sec) N/A 0.950 0.929 0.012 2.342 0.000 0.000 0.892 3.674
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 347 390 332 0 350 342 670
normalized size 1 1.00 0.99 1.12 0.95 0.00 1.00 0.98 1.92
time (sec) N/A 0.298 0.374 0.004 2.200 0.000 8.334 0.342 0.433
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 321 362 318 0 318 323 391
normalized size 1 1.00 1.00 1.12 0.99 0.00 0.99 1.00 1.21
time (sec) N/A 0.269 0.316 0.007 2.630 0.000 3.521 0.364 2.483
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 224 188 238 0 155 241 282
normalized size 1 1.00 0.93 0.78 0.99 0.00 0.64 1.00 1.17
time (sec) N/A 0.189 0.189 0.005 2.433 0.000 1.092 0.339 0.274
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 183 143 189 173 39 194 58
normalized size 1 1.00 0.91 0.71 0.94 0.86 0.19 0.96 0.29
time (sec) N/A 0.116 0.107 0.005 2.108 0.632 0.297 0.246 0.089
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 855 855 558 1122 601 0 0 771 1591
normalized size 1 1.00 0.65 1.31 0.70 0.00 0.00 0.90 1.86
time (sec) N/A 0.849 0.391 0.019 2.291 0.000 0.000 0.504 2.995
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1141 1141 807 1636 961 0 0 1104 2246
normalized size 1 1.00 0.71 1.43 0.84 0.00 0.00 0.97 1.97
time (sec) N/A 1.659 0.865 0.023 2.541 0.000 0.000 103.636 4.104
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1384 1384 996 2121 1394 0 0 1488 3256
normalized size 1 1.00 0.72 1.53 1.01 0.00 0.00 1.08 2.35
time (sec) N/A 1.963 1.357 0.026 2.602 0.000 0.000 1.148 5.038
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 388 470 392 0 413 389 721
normalized size 1 1.00 0.98 1.19 0.99 0.00 1.05 0.99 1.83
time (sec) N/A 0.346 0.351 0.007 2.373 0.000 8.013 0.354 0.478
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 358 419 364 0 374 356 676
normalized size 1 1.00 0.99 1.16 1.01 0.00 1.04 0.99 1.88
time (sec) N/A 0.326 0.294 0.007 2.181 0.000 4.878 0.433 0.471
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 249 222 269 0 192 260 315
normalized size 1 1.00 0.94 0.83 1.01 0.00 0.72 0.98 1.18
time (sec) N/A 0.249 0.206 0.007 2.204 0.000 1.483 0.320 0.303
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 200 158 212 232 63 204 80
normalized size 1 1.00 0.91 0.72 0.97 1.06 0.29 0.93 0.37
time (sec) N/A 0.142 0.083 0.005 2.704 0.641 0.461 0.358 0.096
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1352 1352 835 2098 1015 0 0 1259 2720
normalized size 1 1.00 0.62 1.55 0.75 0.00 0.00 0.93 2.01
time (sec) N/A 1.412 0.738 0.025 2.408 0.000 0.000 0.910 4.406
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1830 1830 1115 2769 1564 0 0 0 3572
normalized size 1 1.00 0.61 1.51 0.85 0.00 0.00 0.00 1.95
time (sec) N/A 2.781 1.551 0.033 3.097 0.000 0.000 0.000 5.754
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2204 2204 1338 3334 2198 0 0 2119 6280
normalized size 1 1.00 0.61 1.51 1.00 0.00 0.00 0.96 2.85
time (sec) N/A 3.165 2.873 0.038 3.988 0.000 0.000 1.534 7.785
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 33 29 28 28 34 28 30
normalized size 1 1.00 1.03 0.91 0.88 0.88 1.06 0.88 0.94
time (sec) N/A 0.019 0.010 0.002 2.532 0.980 0.112 0.295 0.041
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 33 29 28 28 34 28 30
normalized size 1 1.00 1.03 0.91 0.88 0.88 1.06 0.88 0.94
time (sec) N/A 0.029 0.006 0.002 2.530 1.088 0.115 0.380 0.035
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 31 29 26 26 36 26 30
normalized size 1 1.00 0.97 0.91 0.81 0.81 1.12 0.81 0.94
time (sec) N/A 0.017 0.009 0.003 2.156 0.800 0.116 0.388 0.043
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 31 29 26 26 36 26 30
normalized size 1 1.00 0.97 0.91 0.81 0.81 1.12 0.81 0.94
time (sec) N/A 0.035 0.005 0.003 2.329 0.877 0.120 0.335 0.032
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 42 29 35 45 39 44 34
normalized size 1 1.00 0.93 0.64 0.78 1.00 0.87 0.98 0.76
time (sec) N/A 0.012 0.022 0.003 2.621 0.901 0.111 0.415 2.319
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 42 29 35 45 39 44 34
normalized size 1 1.00 0.93 0.64 0.78 1.00 0.87 0.98 0.76
time (sec) N/A 0.021 0.005 0.003 2.332 0.755 0.118 0.315 0.047
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 23 18 17 17 15 15 6
normalized size 1 1.00 3.83 3.00 2.83 2.83 2.50 2.50 1.00
time (sec) N/A 0.002 0.003 0.005 1.061 0.673 0.094 0.310 2.270
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 23 18 17 17 15 19 6
normalized size 1 1.00 1.10 0.86 0.81 0.81 0.71 0.90 0.29
time (sec) N/A 0.004 0.003 0.002 0.942 0.516 0.098 0.416 0.146
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 11 10 9 24 22 9 9
normalized size 1 1.00 0.85 0.77 0.69 1.85 1.69 0.69 0.69
time (sec) N/A 0.002 0.003 0.001 0.882 0.593 0.125 0.335 2.319
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 81 11 58 57 24 22 57 9
normalized size 1 6.23 0.85 4.46 4.38 1.85 1.69 4.38 0.69
time (sec) N/A 0.012 0.002 0.002 0.937 0.641 0.314 0.312 0.025
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 78 67 66 66 85 68 94
normalized size 1 1.00 1.13 0.97 0.96 0.96 1.23 0.99 1.36
time (sec) N/A 0.111 0.014 0.009 2.014 0.593 0.250 0.293 0.102
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 78 67 66 66 85 68 94
normalized size 1 1.00 1.13 0.97 0.96 0.96 1.23 0.99 1.36
time (sec) N/A 0.124 0.006 0.003 1.990 0.614 0.254 0.307 0.039
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 31 21 20 20 20 21 20
normalized size 1 1.00 1.29 0.88 0.83 0.83 0.83 0.88 0.83
time (sec) N/A 0.019 0.006 0.003 0.631 0.546 0.078 0.307 0.037
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 25 21 20 20 19 21 20
normalized size 1 1.00 0.96 0.81 0.77 0.77 0.73 0.81 0.77
time (sec) N/A 0.016 0.004 0.002 0.686 0.634 0.073 0.295 0.033
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 22 16 15 18 15 15 17
normalized size 1 1.00 1.29 0.94 0.88 1.06 0.88 0.88 1.00
time (sec) N/A 0.006 0.000 0.000 0.664 0.530 0.057 0.388 0.024
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 22 20 20 18 15 20 17
normalized size 1 1.00 0.92 0.83 0.83 0.75 0.62 0.83 0.71
time (sec) N/A 0.005 0.001 0.001 0.568 0.450 0.058 0.368 0.021
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 24 23 22 25 20 23 28
normalized size 1 1.00 1.09 1.05 1.00 1.14 0.91 1.05 1.27
time (sec) N/A 0.019 0.006 0.007 1.378 0.624 0.132 0.393 0.045
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 27 16 15 15 15 18 15
normalized size 1 1.00 1.59 0.94 0.88 0.88 0.88 1.06 0.88
time (sec) N/A 0.013 0.004 0.007 0.755 0.710 0.130 0.327 0.057
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 14 13 13 12 16 13
normalized size 1 1.00 1.00 0.74 0.68 0.68 0.63 0.84 0.68
time (sec) N/A 0.021 0.004 0.006 0.659 0.632 0.096 0.305 2.336
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 17 11 10 10 8 13 10
normalized size 1 1.00 1.42 0.92 0.83 0.83 0.67 1.08 0.83
time (sec) N/A 0.006 0.004 0.001 0.621 0.639 0.089 0.398 2.269
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 11 11 10 10 8 11 10
normalized size 1 1.00 1.10 1.10 1.00 1.00 0.80 1.10 1.00
time (sec) N/A 0.009 0.006 0.002 0.610 0.711 0.132 0.332 0.056
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 15 15 15 18 15
normalized size 1 1.00 1.00 0.94 0.88 0.88 0.88 1.06 0.88
time (sec) N/A 0.018 0.006 0.005 0.614 0.693 0.125 0.356 0.056
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 17 17 17 18 21
normalized size 1 1.00 1.00 0.78 0.74 0.74 0.74 0.78 0.91
time (sec) N/A 0.021 0.004 0.005 1.640 0.637 0.128 0.376 0.049
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 13 10 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.87 0.87
time (sec) N/A 0.009 0.004 0.000 0.655 0.467 0.092 0.278 0.042
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 17 17 20 20 17
normalized size 1 1.00 1.00 0.86 0.81 0.81 0.95 0.95 0.81
time (sec) N/A 0.021 0.005 0.006 0.586 0.610 0.131 0.369 0.067
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 9 14 9 9 7 9 10
normalized size 1 1.00 0.90 1.40 0.90 0.90 0.70 0.90 1.00
time (sec) N/A 0.010 0.005 0.003 0.781 0.700 0.083 0.261 2.204
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 18 17 17 20 20 17
normalized size 1 1.00 1.00 0.72 0.68 0.68 0.80 0.80 0.68
time (sec) N/A 0.021 0.005 0.006 0.646 0.764 0.132 0.362 0.107
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 14 14 12 14 14
normalized size 1 1.00 1.00 1.07 1.00 1.00 0.86 1.00 1.00
time (sec) N/A 0.025 0.004 0.001 1.557 0.525 0.105 0.252 2.219
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 14 30 11 16 17 11 20
normalized size 1 1.00 1.08 2.31 0.85 1.23 1.31 0.85 1.54
time (sec) N/A 0.007 0.007 0.010 0.582 0.604 0.130 0.371 2.245
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 25 32 26 25 20 27 25
normalized size 1 1.00 0.96 1.23 1.00 0.96 0.77 1.04 0.96
time (sec) N/A 0.045 0.008 0.003 0.717 0.611 0.154 0.283 2.234
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 4 5 4 4 3 5 4
normalized size 1 1.00 0.67 0.83 0.67 0.67 0.50 0.83 0.67
time (sec) N/A 0.008 0.001 0.001 0.570 0.665 0.064 0.280 0.018
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 20 25 19 27 18
normalized size 1 1.00 1.00 0.95 1.00 1.25 0.95 1.35 0.90
time (sec) N/A 0.015 0.005 0.007 0.718 0.671 0.105 0.381 0.039
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 40 28 27 27 31 28 44
normalized size 1 1.00 1.05 0.74 0.71 0.71 0.82 0.74 1.16
time (sec) N/A 0.025 0.010 0.005 1.973 0.655 0.141 0.389 0.158
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 18 16 15 15 14 16 15
normalized size 1 1.00 1.06 0.94 0.88 0.88 0.82 0.94 0.88
time (sec) N/A 0.008 0.004 0.002 0.440 0.579 0.073 0.367 0.031
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 36 22 21 21 22 22 25
normalized size 1 1.00 1.16 0.71 0.68 0.68 0.71 0.71 0.81
time (sec) N/A 0.012 0.005 0.005 0.995 0.466 0.141 0.274 0.053
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 17 15 17 17 13
normalized size 1 1.00 1.00 0.84 0.89 0.79 0.89 0.89 0.68
time (sec) N/A 0.017 0.006 0.006 0.474 0.482 0.114 0.408 0.090
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 9 9 9 9 8 11 9
normalized size 1 1.00 0.82 0.82 0.82 0.82 0.73 1.00 0.82
time (sec) N/A 0.005 0.004 0.000 0.447 0.583 0.088 0.287 2.217
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 13 12 12 14 12 12
normalized size 1 1.00 1.00 0.72 0.67 0.67 0.78 0.67 0.67
time (sec) N/A 0.014 0.009 0.006 1.008 0.642 0.143 0.371 2.216
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 44 39 46 83 46 52 45
normalized size 1 1.00 0.96 0.85 1.00 1.80 1.00 1.13 0.98
time (sec) N/A 0.023 0.019 0.010 0.448 0.631 0.195 0.363 0.042
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 10 14 8 8 7 9 8
normalized size 1 1.00 0.83 1.17 0.67 0.67 0.58 0.75 0.67
time (sec) N/A 0.002 0.001 0.002 0.438 0.650 0.076 0.275 0.042
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 27 28 23 34 20 25 17
normalized size 1 1.00 1.29 1.33 1.10 1.62 0.95 1.19 0.81
time (sec) N/A 0.003 0.008 0.008 0.451 0.721 0.108 0.271 2.216
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 15 21 12 15 17
normalized size 1 1.00 1.00 0.84 0.79 1.11 0.63 0.79 0.89
time (sec) N/A 0.004 0.008 0.006 0.996 0.551 0.101 0.290 0.027
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 9 8 8 7 9 6
normalized size 1 1.00 1.00 0.90 0.80 0.80 0.70 0.90 0.60
time (sec) N/A 0.001 0.001 0.001 0.453 0.495 0.058 0.382 0.068
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 10 10 20 10 10
normalized size 1 1.00 1.00 1.10 1.00 1.00 2.00 1.00 1.00
time (sec) N/A 0.003 0.002 0.003 0.995 0.579 0.112 0.261 2.245
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 16 15 67 53 15 16
normalized size 1 1.00 1.00 0.67 0.62 2.79 2.21 0.62 0.67
time (sec) N/A 0.007 0.004 0.002 0.982 0.780 0.134 0.379 2.243
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 17 16 16 26 16 16
normalized size 1 1.00 1.00 0.89 0.84 0.84 1.37 0.84 0.84
time (sec) N/A 0.011 0.006 0.002 0.955 0.598 0.108 0.380 0.032
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 17 16 17
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.77 0.73 0.77
time (sec) N/A 0.007 0.001 0.000 0.460 0.409 0.057 0.310 0.024
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 15 16 17
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.68 0.73 0.77
time (sec) N/A 0.005 0.001 0.000 0.456 0.514 0.056 0.287 0.029
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 14 15 10 14 15
normalized size 1 1.00 1.00 0.94 0.88 0.94 0.62 0.88 0.94
time (sec) N/A 0.005 0.001 0.003 0.456 0.720 0.069 0.306 0.028
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 30 30 39 30 30
normalized size 1 1.00 1.00 0.84 0.81 0.81 1.05 0.81 0.81
time (sec) N/A 0.021 0.010 0.005 0.976 0.599 0.118 0.266 2.219
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 12 12 10 12 13
normalized size 1 1.00 1.00 0.93 0.86 0.86 0.71 0.86 0.93
time (sec) N/A 0.004 0.000 0.001 0.466 0.494 0.054 0.364 0.024
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 9 9 7 9 6
normalized size 1 1.00 1.00 0.91 0.82 0.82 0.64 0.82 0.55
time (sec) N/A 0.004 0.000 0.001 0.450 0.603 0.058 0.286 0.016
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 20 20 25
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.80 0.80 1.00
time (sec) N/A 0.010 0.006 0.005 0.994 0.690 0.136 0.365 0.049
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 20 25
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.80 1.00
time (sec) N/A 0.010 0.005 0.003 1.359 0.630 0.129 0.292 2.228
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 19 19 19 20 25
normalized size 1 1.00 1.00 0.80 0.76 0.76 0.76 0.80 1.00
time (sec) N/A 0.017 0.006 0.005 1.432 0.801 0.123 0.249 2.209
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 7 7 8 7 12 5 8 7
normalized size 1 0.78 0.78 0.89 0.78 1.33 0.56 0.89 0.78
time (sec) N/A 0.006 0.003 0.003 0.951 0.543 0.073 0.298 0.023
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 20 16 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.73
time (sec) N/A 0.011 0.013 0.007 1.579 0.482 0.149 0.292 0.055
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 30 30 44 30 30
normalized size 1 1.00 1.00 0.84 0.81 0.81 1.19 0.81 0.81
time (sec) N/A 0.022 0.013 0.003 1.393 0.681 0.122 0.384 0.045
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 15 19 14 16 13
normalized size 1 1.00 1.00 0.93 1.00 1.27 0.93 1.07 0.87
time (sec) N/A 0.004 0.002 0.004 0.969 0.495 0.086 0.269 0.026
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 15 10 14 13
normalized size 1 1.00 1.00 0.93 0.87 1.00 0.67 0.93 0.87
time (sec) N/A 0.004 0.001 0.005 0.948 0.646 0.076 0.280 0.023
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 13 11 8 13 11
normalized size 1 1.00 1.00 1.09 1.18 1.00 0.73 1.18 1.00
time (sec) N/A 0.011 0.003 0.005 0.692 0.455 0.095 0.287 0.056
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 19 18 17 17 17 17 17
normalized size 1 1.00 0.86 0.82 0.77 0.77 0.77 0.77 0.77
time (sec) N/A 0.004 0.001 0.000 0.876 0.491 0.056 0.356 0.030
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 19 19 19 9 9
normalized size 1 1.00 1.00 0.91 1.73 1.73 1.73 0.82 0.82
time (sec) N/A 0.001 0.001 0.000 0.862 0.602 0.057 0.216 0.142
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 16 14 13 13 12 14 11
normalized size 1 1.00 1.23 1.08 1.00 1.00 0.92 1.08 0.85
time (sec) N/A 0.010 0.004 0.002 0.643 0.843 0.076 0.361 2.211
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 14 18 14 16 12
normalized size 1 1.00 1.00 0.94 0.88 1.12 0.88 1.00 0.75
time (sec) N/A 0.006 0.003 0.007 0.588 0.620 0.100 0.360 0.034
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 24 25 39 24 27 23
normalized size 1 1.00 0.96 0.89 0.93 1.44 0.89 1.00 0.85
time (sec) N/A 0.011 0.016 0.008 0.815 0.566 0.111 0.379 2.228
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 18 16 15 15 12 16 15
normalized size 1 1.00 1.06 0.94 0.88 0.88 0.71 0.94 0.88
time (sec) N/A 0.008 0.003 0.002 0.740 0.585 0.073 0.357 0.026
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 16 20 15 17 16
normalized size 1 1.00 1.00 0.94 0.89 1.11 0.83 0.94 0.89
time (sec) N/A 0.006 0.001 0.005 0.728 0.619 0.078 0.371 0.029
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 28 14 0 14 14 13
normalized size 1 1.00 1.00 1.56 0.78 0.00 0.78 0.78 0.72
time (sec) N/A 0.010 0.001 0.001 1.708 0.000 0.057 0.351 0.024
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 22 34 46 31 25 23
normalized size 1 1.00 1.00 0.96 1.48 2.00 1.35 1.09 1.00
time (sec) N/A 0.018 0.010 0.006 0.738 0.556 0.109 0.369 0.032
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 12 13 12 15 10 32 12
normalized size 1 1.00 0.75 0.81 0.75 0.94 0.62 2.00 0.75
time (sec) N/A 0.012 0.006 0.004 1.789 0.734 0.107 0.262 2.219
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 30 26 25 25 24 26 25
normalized size 1 1.00 1.03 0.90 0.86 0.86 0.83 0.90 0.86
time (sec) N/A 0.020 0.008 0.001 0.765 0.667 0.080 0.283 0.026
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 12 12 10 12 13
normalized size 1 1.00 1.00 0.81 0.75 0.75 0.62 0.75 0.81
time (sec) N/A 0.006 0.000 0.000 0.891 0.628 0.059 0.348 0.021
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 17 25 14 12 17
normalized size 1 1.00 1.00 0.94 1.00 1.47 0.82 0.71 1.00
time (sec) N/A 0.015 0.012 0.006 1.745 0.688 0.124 0.237 0.031
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 47 43 68 190 151 48 42
normalized size 1 1.00 1.00 0.91 1.45 4.04 3.21 1.02 0.89
time (sec) N/A 0.066 0.025 0.006 1.021 0.753 0.296 0.281 0.097
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 61 61 0 240 294 60 82
normalized size 1 1.00 1.07 1.07 0.00 4.21 5.16 1.05 1.44
time (sec) N/A 0.082 0.027 0.004 0.000 0.630 0.350 0.358 2.227
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 39 308 0 247 24 147 101
normalized size 1 1.00 0.21 1.64 0.00 1.31 0.13 0.78 0.54
time (sec) N/A 0.189 0.031 0.102 0.000 0.521 0.517 1.488 2.300
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 27 28 65 65 60 30 27
normalized size 1 1.00 0.45 0.47 1.08 1.08 1.00 0.50 0.45
time (sec) N/A 0.136 0.015 0.007 1.249 0.459 0.229 0.397 2.337
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A C B B B B B
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 27 0 27 250 65 65 60 197 27
normalized size 1 0.00 1.00 9.26 2.41 2.41 2.22 7.30 1.00
time (sec) N/A 0.311 0.010 0.030 1.199 0.679 0.324 0.397 0.045
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A B B B B B B
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 27 0 27 112 65 65 60 111 27
normalized size 1 0.00 1.00 4.15 2.41 2.41 2.22 4.11 1.00
time (sec) N/A 0.433 0.010 0.019 0.975 0.660 0.288 0.447 0.043

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 [412] had the largest ratio of [.8824]

Table 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 3 2 1.00 24 0.083
2 A 3 3 1.00 29 0.103
3 A 2 2 1.00 29 0.069
4 A 2 2 1.00 29 0.069
5 A 1 0 1.00 27 0.000
6 A 2 2 1.00 29 0.069
7 A 2 2 1.00 29 0.069
8 A 2 2 1.00 29 0.069
9 A 3 2 1.00 27 0.074
10 A 3 2 1.00 27 0.074
11 A 1 0 1.00 25 0.000
12 A 7 7 1.00 27 0.259
13 A 8 8 1.00 27 0.296
14 A 9 8 1.00 27 0.296
15 A 3 2 1.00 46 0.043
16 A 3 2 1.00 46 0.043
17 A 1 0 1.00 44 0.000
18 A 2 1 1.00 46 0.022
19 A 2 1 1.00 46 0.022
20 A 2 1 1.00 46 0.022
21 A 5 4 1.00 11 0.364
22 A 5 4 1.00 17 0.235
23 A 2 2 1.00 7 0.286
24 A 3 2 1.00 13 0.154
25 A 5 5 1.00 11 0.454
26 A 7 7 1.00 16 0.438
27 A 6 6 1.00 9 0.667
28 A 2 2 1.00 7 0.286
29 A 3 3 1.00 13 0.231
30 A 3 3 1.11 11 0.273
31 A 3 3 1.00 16 0.188
32 A 2 2 1.26 9 0.222
33 A 3 2 1.00 29 0.069
34 A 2 1 1.00 29 0.034
35 A 2 1 1.00 29 0.034
36 A 1 0 1.00 27 0.000
37 A 10 6 1.00 29 0.207
38 A 11 7 1.00 29 0.241
39 A 3 2 1.00 32 0.062
40 A 2 1 1.00 32 0.031
41 A 2 1 1.00 32 0.031
42 A 1 0 1.00 30 0.000
43 A 4 3 1.00 32 0.094
44 A 5 4 1.00 32 0.125
45 A 2 1 1.00 17 0.059
46 A 2 1 1.00 17 0.059
47 A 2 1 1.00 17 0.059
48 A 1 0 1.00 15 0.000
49 A 16 9 1.00 17 0.529
50 A 18 11 1.00 17 0.647
51 A 2 1 1.00 17 0.059
52 A 2 1 1.00 17 0.059
53 A 2 1 1.00 17 0.059
54 A 1 0 1.00 15 0.000
55 A 15 9 1.00 17 0.529
56 A 17 11 1.00 17 0.647
57 A 2 1 1.00 22 0.045
58 A 2 1 1.00 22 0.045
59 A 2 1 1.00 22 0.045
60 A 1 0 1.00 20 0.000
61 A 16 9 1.00 22 0.409
62 A 18 11 1.00 22 0.500
63 A 2 2 1.00 51 0.039
64 A 2 2 1.00 51 0.039
65 B 1 0 4.36 49 0.000
66 A 2 2 1.00 51 0.039
67 A 2 2 1.00 51 0.039
68 A 2 2 1.00 51 0.039
69 A 6 5 1.00 13 0.385
70 A 5 3 1.00 19 0.158
71 A 5 3 1.00 19 0.158
72 A 5 3 1.00 19 0.158
73 A 1 0 1.00 17 0.000
74 A 5 2 1.00 19 0.105
75 A 7 3 1.00 19 0.158
76 A 10 3 1.00 19 0.158
77 B 15 7 2.25 17 0.412
78 A 6 5 1.00 15 0.333
79 A 6 5 1.00 15 0.333
80 A 4 4 1.00 13 0.308
81 A 2 2 1.00 11 0.182
82 A 6 6 1.00 15 0.400
83 A 7 6 1.00 15 0.400
84 A 7 6 1.00 15 0.400
85 A 2 2 1.00 13 0.154
86 A 3 3 1.00 13 0.231
87 A 4 3 1.00 13 0.231
88 A 2 2 1.00 19 0.105
89 A 2 2 1.00 11 0.182
90 A 3 3 1.00 11 0.273
91 A 4 3 1.00 11 0.273
92 A 2 2 1.00 13 0.154
93 A 3 3 1.00 13 0.231
94 A 4 3 1.00 13 0.231
95 A 2 2 1.00 11 0.182
96 A 3 3 1.00 11 0.273
97 A 4 3 1.00 11 0.273
98 A 3 2 1.00 15 0.133
99 A 4 3 1.00 13 0.231
100 A 4 4 1.00 17 0.235
101 A 4 4 1.00 19 0.210
102 A 4 4 1.00 17 0.235
103 A 11 10 1.00 17 0.588
104 A 9 9 1.00 17 0.529
105 A 7 7 1.00 15 0.467
106 A 7 7 1.00 13 0.538
107 A 11 10 1.06 17 0.588
108 A 11 10 0.99 17 0.588
109 A 11 10 1.00 17 0.588
110 A 16 12 1.00 17 0.706
111 A 14 10 1.00 17 0.588
112 A 14 10 1.00 15 0.667
113 A 10 7 1.00 13 0.538
114 A 18 13 1.00 17 0.765
115 A 18 13 1.00 17 0.765
116 A 3 2 1.00 22 0.091
117 A 2 1 1.00 22 0.045
118 A 2 1 1.00 22 0.045
119 A 1 0 1.00 20 0.000
120 A 4 3 1.00 22 0.136
121 A 5 4 1.00 22 0.182
122 A 6 5 1.00 22 0.227
123 A 2 1 1.00 24 0.042
124 A 2 1 1.00 24 0.042
125 A 2 1 1.00 24 0.042
126 A 2 1 1.00 22 0.045
127 A 8 7 1.00 24 0.292
128 A 10 9 1.00 24 0.375
129 A 12 10 1.00 24 0.417
130 A 2 1 1.00 26 0.038
131 A 2 1 1.00 26 0.038
132 A 2 1 1.00 26 0.038
133 A 2 1 1.00 24 0.042
134 A 9 8 1.00 26 0.308
135 A 11 10 1.00 26 0.385
136 A 14 5 1.00 46 0.109
137 A 14 5 1.00 46 0.109
138 A 8 3 1.00 46 0.065
139 A 14 5 1.00 44 0.114
140 A 14 5 1.00 42 0.119
141 A 14 5 1.00 46 0.109
142 A 14 5 0.99 46 0.109
143 A 14 6 1.00 26 0.231
144 A 14 6 1.00 26 0.231
145 A 14 6 1.00 26 0.231
146 A 8 4 1.00 26 0.154
147 A 14 6 1.00 24 0.250
148 A 14 6 1.00 22 0.273
149 A 14 6 1.00 26 0.231
150 A 14 6 1.00 26 0.231
151 A 23 7 1.00 26 0.269
152 A 23 7 1.00 26 0.269
153 A 14 6 1.00 26 0.231
154 A 17 5 1.00 26 0.192
155 A 23 7 1.00 26 0.269
156 A 23 7 1.00 26 0.269
157 A 23 7 1.00 26 0.269
158 A 2 1 1.00 52 0.019
159 A 4 3 1.00 52 0.058
160 A 1 1 1.00 18 0.056
161 A 3 3 1.00 23 0.130
162 A 3 3 1.00 23 0.130
163 A 3 3 1.00 29 0.103
164 A 1 1 1.00 18 0.056
165 A 4 3 1.00 20 0.150
166 A 4 3 1.00 20 0.150
167 A 4 3 1.00 22 0.136
168 A 1 1 1.00 18 0.056
169 A 3 3 1.00 23 0.130
170 A 3 3 1.00 23 0.130
171 A 3 3 1.00 29 0.103
172 A 1 1 1.00 18 0.056
173 A 1 1 1.00 25 0.040
174 C 7 3 4.30 38 0.079
175 A 1 1 1.00 27 0.037
176 A 1 1 1.00 31 0.032
177 A 2 1 1.00 54 0.019
178 A 3 1 1.00 54 0.019
179 A 5 4 1.00 54 0.074
180 A 1 1 1.00 30 0.033
181 A 1 1 1.00 29 0.034
182 A 1 1 1.00 28 0.036
183 A 1 1 1.00 21 0.048
184 A 1 1 1.00 20 0.050
185 A 1 1 1.00 21 0.048
186 A 1 1 1.00 26 0.038
187 A 1 1 1.00 25 0.040
188 A 2 2 1.00 26 0.077
189 A 1 1 1.00 24 0.042
190 A 1 1 1.00 24 0.042
191 A 1 1 1.00 23 0.043
192 A 1 1 1.00 30 0.033
193 A 1 1 1.00 29 0.034
194 A 1 1 1.00 28 0.036
195 A 1 1 1.00 21 0.048
196 A 1 1 1.00 20 0.050
197 A 2 2 1.00 21 0.095
198 A 1 1 1.00 26 0.038
199 A 1 1 1.00 25 0.040
200 A 2 2 1.00 26 0.077
201 A 1 1 1.00 22 0.045
202 A 1 1 1.00 24 0.042
203 A 2 2 1.00 23 0.087
204 A 1 1 1.00 23 0.043
205 A 1 1 1.00 19 0.053
206 A 2 1 1.00 22 0.045
207 A 2 1 1.00 23 0.043
208 A 2 1 1.00 22 0.045
209 A 2 1 1.00 23 0.043
210 A 2 1 1.00 24 0.042
211 A 2 1 1.00 25 0.040
212 A 2 1 1.00 31 0.032
213 A 2 1 1.00 32 0.031
214 A 2 1 1.00 35 0.029
215 A 2 1 1.00 36 0.028
216 A 2 1 1.00 24 0.042
217 A 2 1 1.00 31 0.032
218 A 2 1 1.00 35 0.029
219 A 1 1 1.00 22 0.045
220 A 1 1 1.00 18 0.056
221 B 3 2 2.91 26 0.077
222 B 2 1 2.91 28 0.036
223 A 1 1 1.00 18 0.056
224 A 1 1 1.00 20 0.050
225 A 1 1 1.00 21 0.048
226 A 3 3 1.00 52 0.058
227 A 9 5 1.00 38 0.132
228 A 3 2 1.00 32 0.062
229 A 4 3 1.00 33 0.091
230 A 3 2 1.00 34 0.059
231 A 6 6 1.00 43 0.140
232 A 1 1 1.00 16 0.062
233 B 15 7 2.25 25 0.280
234 A 1 1 1.00 56 0.018
235 A 1 1 1.00 51 0.020
236 A 1 1 1.00 49 0.020
237 A 1 1 1.00 46 0.022
238 A 2 2 1.00 48 0.042
239 A 1 1 1.00 49 0.020
240 A 1 1 1.00 48 0.021
241 A 1 1 1.00 48 0.021
242 A 10 5 1.00 35 0.143
243 A 10 5 1.00 35 0.143
244 A 10 5 1.00 35 0.143
245 A 10 5 1.00 33 0.152
246 A 10 5 1.00 32 0.156
247 A 13 6 1.00 35 0.171
248 A 13 6 1.00 35 0.171
249 A 13 6 1.00 35 0.171
250 A 13 6 1.00 35 0.171
251 A 13 6 1.00 35 0.171
252 A 11 6 1.00 33 0.182
253 A 9 5 1.00 32 0.156
254 A 13 6 1.00 35 0.171
255 A 13 6 1.00 35 0.171
256 A 13 6 1.00 35 0.171
257 A 2 2 1.00 40 0.050
258 A 6 5 1.00 20 0.250
259 A 3 2 1.00 20 0.100
260 A 3 2 1.00 20 0.100
261 A 2 1 1.00 16 0.062
262 A 5 4 1.00 22 0.182
263 A 3 2 1.00 21 0.095
264 A 6 5 1.00 26 0.192
265 A 2 1 1.00 20 0.050
266 A 2 1 1.00 11 0.091
267 A 4 3 1.00 22 0.136
268 A 3 2 1.00 21 0.095
269 A 3 2 1.00 25 0.080
270 A 6 6 1.00 22 0.273
271 A 5 5 1.00 31 0.161
272 A 3 2 1.00 21 0.095
273 A 4 3 1.00 33 0.091
274 A 4 4 1.00 14 0.286
275 A 7 6 1.00 33 0.182
276 A 7 6 1.00 29 0.207
277 A 6 5 1.00 44 0.114
278 A 3 2 1.00 15 0.133
279 A 5 4 1.00 15 0.267
280 A 4 3 1.00 18 0.167
281 A 3 2 1.00 20 0.100
282 A 5 4 1.00 26 0.154
283 A 3 2 1.00 13 0.154
284 A 3 2 1.00 18 0.111
285 A 2 1 1.00 26 0.038
286 A 5 5 1.00 19 0.263
287 A 5 5 1.00 24 0.208
288 A 8 6 1.00 20 0.300
289 A 8 6 1.00 18 0.333
290 A 5 3 1.00 19 0.158
291 A 4 3 1.00 13 0.231
292 A 6 5 1.00 22 0.227
293 A 6 5 1.00 24 0.208
294 A 2 1 1.00 29 0.034
295 A 2 1 1.00 30 0.033
296 A 2 1 1.00 19 0.053
297 A 4 4 1.00 16 0.250
298 A 10 5 1.00 36 0.139
299 A 2 1 1.00 21 0.048
300 A 5 4 1.00 16 0.250
301 A 2 1 1.00 24 0.042
302 A 2 1 1.00 21 0.048
303 A 2 1 1.00 24 0.042
304 A 6 5 1.00 26 0.192
305 A 3 2 1.00 25 0.080
306 A 2 1 1.00 29 0.034
307 A 6 5 1.00 20 0.250
308 A 14 10 1.00 32 0.312
309 A 4 4 1.00 23 0.174
310 A 6 5 1.00 26 0.192
311 A 4 3 1.00 26 0.115
312 A 8 4 1.00 25 0.160
313 A 6 3 1.00 23 0.130
314 A 7 6 1.00 23 0.261
315 A 5 3 1.18 20 0.150
316 A 3 2 1.00 25 0.080
317 A 3 2 1.00 22 0.091
318 A 2 1 1.00 24 0.042
319 A 7 6 1.00 24 0.250
320 A 6 5 1.00 43 0.116
321 A 7 5 1.25 50 0.100
322 A 3 2 1.00 16 0.125
323 A 6 5 1.00 15 0.333
324 A 5 4 1.00 20 0.200
325 A 3 2 1.00 24 0.083
326 A 5 3 1.00 27 0.111
327 A 5 5 1.00 26 0.192
328 A 3 2 1.00 16 0.125
329 A 11 8 1.32 22 0.364
330 A 5 4 1.00 24 0.167
331 A 4 3 1.00 26 0.115
332 A 5 3 1.00 36 0.083
333 A 4 3 1.00 26 0.115
334 A 10 9 1.00 20 0.450
335 A 6 6 1.00 27 0.222
336 A 7 7 1.00 20 0.350
337 A 8 7 1.00 25 0.280
338 A 8 7 1.00 22 0.318
339 A 2 1 1.00 18 0.056
340 A 5 4 1.00 20 0.200
341 A 10 9 1.00 20 0.450
342 A 16 12 1.00 20 0.600
343 A 3 2 1.00 14 0.143
344 A 2 2 1.00 20 0.100
345 A 14 8 1.00 20 0.400
346 A 4 3 1.00 26 0.115
347 A 4 3 1.00 24 0.125
348 A 6 4 1.00 30 0.133
349 A 4 4 1.00 21 0.190
350 A 2 1 1.00 15 0.067
351 A 4 3 1.00 18 0.167
352 A 3 2 1.00 22 0.091
353 A 3 2 1.00 16 0.125
354 A 6 5 1.00 16 0.312
355 A 3 2 1.00 25 0.080
356 A 3 2 1.00 19 0.105
357 A 2 1 1.00 23 0.043
358 A 5 4 1.00 23 0.174
359 A 5 4 1.00 21 0.190
360 A 10 6 1.00 28 0.214
361 A 2 1 1.00 24 0.042
362 A 6 5 1.00 26 0.192
363 A 2 1 1.00 14 0.071
364 A 5 3 1.00 16 0.188
365 A 5 5 1.00 16 0.312
366 A 7 5 1.00 43 0.116
367 A 17 13 1.00 26 0.500
368 A 18 13 1.00 16 0.812
369 A 3 2 1.00 15 0.133
370 A 3 2 1.00 15 0.133
371 A 3 2 1.00 17 0.118
372 A 3 2 1.00 15 0.133
373 A 4 3 1.00 15 0.200
374 A 4 3 1.00 18 0.167
375 A 3 2 1.00 20 0.100
376 A 7 6 1.00 29 0.207
377 A 4 3 1.00 22 0.136
378 A 6 4 1.00 16 0.250
379 A 6 4 1.00 16 0.250
380 A 5 4 1.00 14 0.286
381 A 4 3 1.00 12 0.250
382 A 4 3 1.00 16 0.188
383 A 6 5 1.00 16 0.312
384 A 4 3 1.00 16 0.188
385 A 4 3 1.00 16 0.188
386 A 4 3 1.00 16 0.188
387 A 8 5 1.00 17 0.294
388 A 8 5 1.00 19 0.263
389 A 8 5 1.00 15 0.333
390 A 8 5 1.00 17 0.294
391 A 16 10 1.00 23 0.435
392 A 17 10 1.00 21 0.476
393 F 0 0 N/A 0 N/A
394 A 15 11 1.00 17 0.647
395 A 13 9 1.00 17 0.529
396 A 13 9 1.00 15 0.600
397 A 9 6 1.00 9 0.667
398 A 17 12 1.00 17 0.706
399 A 17 12 1.00 17 0.706
400 A 17 12 1.00 17 0.706
401 A 16 12 1.00 17 0.706
402 A 14 10 1.00 17 0.588
403 A 14 10 1.00 15 0.667
404 A 10 7 1.00 9 0.778
405 A 31 14 1.00 17 0.824
406 A 31 14 1.00 17 0.824
407 A 31 14 1.00 17 0.824
408 A 15 11 1.00 17 0.647
409 A 15 10 1.00 17 0.588
410 A 15 10 1.00 15 0.667
411 A 11 7 1.00 9 0.778
412 A 46 15 1.00 17 0.882
413 A 46 15 1.00 17 0.882
414 A 46 15 1.00 17 0.882
415 A 4 4 1.00 14 0.286
416 A 5 5 1.00 13 0.385
417 A 4 4 1.00 16 0.250
418 A 5 5 1.00 18 0.278
419 A 3 2 1.00 14 0.143
420 A 4 3 1.00 16 0.188
421 A 2 2 1.00 11 0.182
422 A 1 0 1.00 17 0.000
423 A 1 1 1.00 11 0.091
424 B 1 0 6.23 73 0.000
425 A 11 7 1.00 13 0.538
426 A 13 9 1.00 19 0.474
427 A 3 2 1.00 15 0.133
428 A 3 2 1.00 11 0.182
429 A 1 0 1.00 11 0.000
430 A 1 0 1.00 11 0.000
431 A 5 4 1.00 16 0.250
432 A 2 1 1.00 16 0.062
433 A 4 3 1.00 15 0.200
434 A 1 1 1.00 15 0.067
435 A 1 1 1.00 20 0.050
436 A 3 2 1.00 15 0.133
437 A 6 5 1.00 13 0.385
438 A 1 1 1.00 22 0.045
439 A 3 2 1.00 18 0.111
440 A 3 3 1.00 20 0.150
441 A 3 2 1.00 16 0.125
442 A 6 6 1.00 17 0.353
443 A 1 1 1.00 17 0.059
444 A 4 3 1.00 25 0.120
445 A 2 2 1.00 20 0.100
446 A 3 2 1.00 18 0.111
447 A 6 5 1.00 15 0.333
448 A 2 1 1.00 11 0.091
449 A 5 5 1.00 13 0.385
450 A 3 2 1.00 20 0.100
451 A 2 1 1.00 16 0.062
452 A 4 3 1.00 16 0.188
453 A 2 1 1.00 16 0.062
454 A 1 1 1.00 9 0.111
455 A 2 2 1.00 7 0.286
456 A 2 2 1.00 11 0.182
457 A 1 1 1.00 7 0.143
458 A 1 1 1.00 9 0.111
459 A 1 1 1.00 9 0.111
460 A 2 2 1.00 10 0.200
461 A 2 1 1.00 13 0.077
462 A 2 1 1.00 11 0.091
463 A 2 1 1.00 14 0.071
464 A 4 4 1.00 16 0.250
465 A 2 1 1.00 7 0.143
466 A 2 1 1.00 11 0.091
467 A 5 5 1.00 13 0.385
468 A 5 5 1.00 13 0.385
469 A 5 4 1.00 14 0.286
470 A 2 1 0.78 13 0.077
471 A 3 2 1.00 20 0.100
472 A 4 4 1.00 18 0.222
473 A 2 1 1.00 12 0.083
474 A 2 1 1.00 10 0.100
475 A 3 2 1.00 16 0.125
476 A 2 1 1.00 11 0.091
477 A 1 1 1.00 7 0.143
478 A 2 1 1.00 15 0.067
479 A 2 1 1.00 12 0.083
480 A 3 3 1.00 16 0.188
481 A 2 1 1.00 11 0.091
482 A 2 1 1.00 17 0.059
483 A 2 1 1.00 29 0.034
484 A 2 1 1.00 18 0.056
485 A 3 2 1.00 14 0.143
486 A 2 1 1.00 24 0.042
487 A 2 1 1.00 11 0.091
488 A 3 2 1.00 18 0.111
489 A 3 3 1.00 15 0.200
490 A 3 3 1.00 16 0.188
491 A 10 7 1.00 15 0.467
492 A 5 2 1.00 50 0.040
493 F 0 0 N/A 0 N/A
494 F 0 0 N/A 0 N/A

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