Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,
51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75,
76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138,
139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157,
158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214,
215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233,
234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252,
253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271,
272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290,
291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309,
310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328,
329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347,
348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366,
367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385,
386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404,
405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423,
424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442,
443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 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, 495, 496, 497, 498, 499,
500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518,
519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537,
538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556,
557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575,
576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30,
31, 37, 38, 39, 40, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 115,
116, 117, 118, 119, 120, 121, 122, 123, 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, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175,
176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194,
195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 215, 216, 217, 218,
219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240,
241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259,
260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278,
279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297,
298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316,
317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335,
336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354,
355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 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, 474, 475, 476, 477, 478,
479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 551, 552, 553,
554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 568, 569, 570, 571, 572, 573, 574,
575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 591, 592, 593, 594
}
B grade: { 21, 32, 33, 34, 35, 36, 41, 44, 45, 46, 47, 369, 370, 371, 372, 557 }
C grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 124, 161, 210, 211, 212, 213, 214, 220, 221, 222, 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, 495,
496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514,
515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533,
534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 567, 590
}
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 33, 36, 39,
42, 44, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 76, 77, 78, 80, 93, 94, 97, 98,
107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 126, 128,
130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
151, 152, 153, 154, 155, 157, 159, 160, 161, 162, 163, 165, 166, 167, 170, 173, 174, 175, 176,
177, 178, 179, 180, 181, 182, 183, 184, 185, 189, 195, 198, 201, 202, 203, 204, 205, 206, 207,
208, 209, 211, 212, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232,
233, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 273, 274, 275, 276, 277, 278, 279,
280, 281, 282, 283, 284, 285, 286, 288, 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, 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, 422, 423, 424, 425, 430, 431,
432, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 477, 478, 479, 480, 481, 482, 483,
484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562,
563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 589, 593
}
B grade: { 6, 20, 21, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 43, 45, 46, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
69, 73, 74, 75, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 95, 96, 99, 100, 101, 102, 103, 104, 105, 106,
123, 125, 127, 129, 149, 150, 156, 158, 164, 168, 169, 171, 172, 186, 187, 188, 190, 191, 192, 193, 194, 196,
197, 199, 200, 221, 222, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 261,
262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 287, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298,
299, 300, 370, 371, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418,
419, 420, 421, 426, 427, 428, 429, 440, 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, 557
}
C grade: { 210, 213, 214, 220, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509,
510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531,
532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 592, 594
}
F grade: { 474, 475, 476, 551, 552, 553, 576, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591
}
2.1.4 Maxima
A grade: { 1, 2, 4, 5, 13, 14, 15, 16, 17, 18, 19, 27, 28, 39, 42, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78,
123, 124, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 152,
153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 180, 181, 182, 183,
184, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 251, 252, 253,
254, 255, 256, 257, 258, 259, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 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, 365, 366, 367, 368, 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, 477, 478, 479, 480, 481, 482, 483, 484, 554, 555, 556, 558,
559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 589, 592,
593
B grade: { 3, 6, 161, 179, 185, 557, 594 }
C grade: { }
F grade: { 7, 8, 9, 10, 11, 12, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 43, 44,
45, 46, 47, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 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, 125, 126, 127, 128, 129, 130, 131, 132, 149, 150,
151, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 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, 220, 221, 222, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246,
247, 248, 249, 250, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274,
275, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303,
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, 369, 370, 371, 372, 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, 485, 486, 487, 488, 489, 490, 491, 492,
493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511,
512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530,
531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549,
550, 551, 552, 553, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 5, 6, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
38, 39, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78, 123, 133, 134, 135, 136, 137, 138, 139, 140, 141,
142, 143, 144, 145, 146, 147, 148, 153, 159, 161, 167, 180, 181, 182, 183, 184, 215, 216, 217, 218, 219, 223,
224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242,
243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261,
262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280,
281, 282, 284, 285, 286, 287, 288, 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, 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, 477, 478, 479, 480, 481, 482, 483, 484, 554, 555, 556, 558, 559, 560,
561, 562, 563, 564, 565, 566, 567, 568, 571, 572, 573, 574, 575, 579, 580, 585, 589, 593, 594
}
B grade: { 40, 41, 44, 45, 46, 47, 152, 155, 156, 160, 163, 164, 168, 179, 185, 221, 222, 283,
289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 557, 569, 570, 577, 578, 591, 592
}
C grade: { 7, 8, 9, 10, 11, 12, 24, 25, 26, 57, 58, 70, 71, 72, 73, 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, 414, 415, 416,
417, 419, 421, 422, 423, 424, 425, 428 }
F grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 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, 124, 125, 126, 127, 128, 129, 130, 131, 132,
149, 150, 151, 154, 157, 158, 162, 165, 166, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178,
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, 220, 403, 404, 405, 406, 407, 408, 409, 410,
411, 412, 413, 418, 420, 426, 427, 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, 485, 486,
487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505,
506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524,
525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543,
544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 576, 581, 582, 583, 584, 586, 587, 588, 590
}
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 22, 23, 24, 25, 26, 29, 31, 37, 38, 39, 42, 43, 48,
50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 70, 71, 72, 76, 77, 78, 79, 80, 81, 82, 83, 84,
85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 126, 128, 130, 132,
133, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155,
156, 157, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 180, 181, 182, 183, 184, 211, 212,
217, 218, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 233, 234, 235, 236, 237, 238, 239,
240, 241, 242, 243, 244, 245, 246, 251, 252, 253, 254, 255, 260, 261, 262, 263, 264, 265, 266,
267, 268, 269, 294, 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, 344, 345, 346, 351, 352, 353, 358, 359, 360, 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, 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, 477, 478, 479, 480, 481, 482, 483,
484, 489, 490, 491, 495, 496, 497, 498, 499, 510, 511, 512, 513, 514, 515, 516, 517, 518, 529,
530, 531, 532, 533, 540, 541, 542, 543, 544, 545, 546, 552, 554, 555, 556, 558, 559, 560, 561,
562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 581
}
B grade: { 73, 74, 125, 127, 129, 131, 140, 149, 150, 158, 166, 171, 172, 175, 176, 179, 185, 403, 404, 405,
406, 407, 485, 486, 487, 488, 557 }
C grade: { 18, 19, 20, 21, 27, 28, 30, 32, 33, 34, 35, 36, 49, 123, 161, 210, 213, 214, 215, 216, 219, 365,
366, 367, 368, 369, 370, 371, 372, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 519, 520,
521, 522, 523, 524, 525, 526, 527, 528, 534, 535, 536, 537, 538, 539, 547, 548, 549, 550, 582
}
F grade: { 6, 40, 41, 44, 45, 46, 47, 65, 68, 69, 75, 151, 173, 174, 177, 178, 186, 187, 188, 189, 190, 191,
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 230, 231, 232, 247,
248, 249, 250, 256, 257, 258, 259, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282,
283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 301, 302,
303, 341, 342, 343, 347, 348, 349, 350, 354, 355, 356, 357, 361, 362, 363, 364, 408, 409, 410,
411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429,
476, 492, 493, 494, 551, 553, 576, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594
}
2.1.7 Giac
A grade: { 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 35, 36,
39, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 116, 118, 120,
122, 124, 126, 128, 130, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 170, 175, 176, 177, 178, 180,
181, 182, 183, 184, 185, 189, 190, 191, 195, 196, 197, 201, 202, 203, 207, 208, 209, 215, 216,
217, 218, 219, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236,
237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 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, 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, 477,
478, 479, 480, 481, 482, 483, 484, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558,
559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 579, 580
}
B grade: { 3, 6, 30, 32, 33, 34, 44, 45, 115, 117, 119, 121, 123, 125, 127, 129, 131, 149, 150, 151, 161, 169,
171, 172, 173, 174, 179, 186, 187, 188, 192, 193, 194, 198, 199, 200, 204, 205, 206, 254, 369, 370, 371, 485,
486, 557, 577, 578, 591, 592, 593, 594 }
C grade: { }
F grade: { 29, 31, 37, 38, 40, 41, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 210, 211, 212, 213, 214, 220, 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, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505,
506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526,
527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545,
546, 547, 548, 549, 550, 551, 552, 553, 576, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590
}
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 \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 53 | 53 | 104 | 127 | 223 | 105 |
normalized size | 1 | 1. | 0.74 | 0.74 | 1.44 | 1.76 | 3.1 | 1.46 |
time (sec) |
N/A |
0.033 |
0.071 |
0.023 |
0.954 |
1.262 |
7.773 |
1.108 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 155 | 194 | 320 | 433 | 644 | 320 |
normalized size | 1 | 1. | 0.96 | 1.2 | 1.99 | 2.69 | 4. | 1.99 |
time (sec) |
N/A |
0.105 |
0.152 |
0.005 |
0.931 |
1.283 |
50.669 |
1.107 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 274 | 274 | 294 | 495 | 709 | 1067 | 1406 | 710 |
normalized size | 1 | 1. | 1.07 | 1.81 | 2.59 | 3.89 | 5.13 | 2.59 |
time (sec) |
N/A |
0.194 |
0.538 |
0.006 |
0.958 |
1.281 |
116.817 |
1.111 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 82 | 91 | 173 | 216 | 354 | 174 |
normalized size | 1 | 1. | 0.72 | 0.8 | 1.52 | 1.89 | 3.11 | 1.53 |
time (sec) |
N/A |
0.071 |
0.126 |
0.045 |
0.962 |
1.191 |
15.201 |
1.08 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 320 | 320 | 303 | 447 | 675 | 1000 | 1365 | 697 |
normalized size | 1 | 1. | 0.95 | 1.4 | 2.11 | 3.12 | 4.27 | 2.18 |
time (sec) |
N/A |
0.244 |
0.457 |
0.007 |
0.991 |
1.269 |
117.588 |
1.115 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 708 | 708 | 678 | 1417 | 1836 | 2993 | 0 | 1909 |
normalized size |
1 |
1. |
0.96 |
2. |
2.59 |
4.23 |
0. |
2.7 |
time (sec) |
N/A |
0.625 |
2.263 |
0.007 |
1.053 |
1.385 |
0. |
1.181 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 124 | 186 | 0 | 4590 | 76 | 216 |
normalized size |
1 |
1. |
0.77 |
1.16 |
0. |
28.51 |
0.47 |
1.34 |
time (sec) |
N/A |
0.111 |
0.055 |
0.044 |
0. |
7.861 |
0.634 |
1.115 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 189 | 189 | 180 | 238 | 0 | 4961 | 105 | 252 |
normalized size |
1 |
1. |
0.95 |
1.26 |
0. |
26.25 |
0.56 |
1.33 |
time (sec) |
N/A |
0.139 |
0.151 |
0.003 |
0. |
7.973 |
1.103 |
1.109 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 205 | 272 | 0 | 5554 | 146 | 279 |
normalized size |
1 |
1. |
0.95 |
1.27 |
0. |
25.83 |
0.68 |
1.3 |
time (sec) |
N/A |
0.187 |
0.154 |
0.004 |
0. |
8.437 |
1.904 |
1.124 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 240 | 240 | 229 | 306 | 0 | 5960 | 185 | 312 |
normalized size |
1 |
1. |
0.95 |
1.27 |
0. |
24.83 |
0.77 |
1.3 |
time (sec) |
N/A |
0.223 |
0.192 |
0.004 |
0. |
7.257 |
3.36 |
1.103 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 125 | 186 | 0 | 4590 | 76 | 197 |
normalized size |
1 |
1. |
0.78 |
1.16 |
0. |
28.51 |
0.47 |
1.22 |
time (sec) |
N/A |
0.121 |
0.058 |
0.048 |
0. |
6.319 |
1.243 |
1.113 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 125 | 188 | 0 | 4563 | 78 | 155 |
normalized size |
1 |
1. |
0.78 |
1.17 |
0. |
28.34 |
0.48 |
0.96 |
time (sec) |
N/A |
0.1 |
0.049 |
0.004 |
0. |
6.228 |
1.211 |
1.079 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 17 | 22 | 58 | 26 | 22 |
normalized size | 1 | 1. | 1. | 0.89 | 1.16 | 3.05 | 1.37 | 1.16 |
time (sec) |
N/A |
0.015 |
0.005 |
0.022 |
1.446 |
0.954 |
0.104 |
1.079 |
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Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 17 | 22 | 58 | 26 | 22 |
normalized size | 1 | 1. | 1. | 0.89 | 1.16 | 3.05 | 1.37 | 1.16 |
time (sec) |
N/A |
0.013 |
0.004 |
0.001 |
1.432 |
0.892 |
0.097 |
1.159 |
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Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 17 | 22 | 53 | 17 | 23 |
normalized size | 1 | 1. | 1. | 0.77 | 1. | 2.41 | 0.77 | 1.05 |
time (sec) |
N/A |
0.012 |
0.004 |
0.004 |
1.439 |
0.917 |
0.096 |
1.192 |
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Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 19 | 24 | 54 | 17 | 26 |
normalized size | 1 | 1. | 1. | 0.86 | 1.09 | 2.45 | 0.77 | 1.18 |
time (sec) |
N/A |
0.013 |
0.004 |
0.004 |
1.472 |
1.009 |
0.092 |
1.119 |
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Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 33 | 43 | 112 | 44 | 45 |
normalized size | 1 | 1. | 1. | 0.8 | 1.05 | 2.73 | 1.07 | 1.1 |
time (sec) |
N/A |
0.027 |
0.008 |
0.004 |
1.442 |
0.948 |
0.135 |
1.088 |
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Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 31 | 35 | 46 | 72 | 54 | 38 |
normalized size | 1 | 1. | 1.07 | 1.21 | 1.59 | 2.48 | 1.86 | 1.31 |
time (sec) |
N/A |
0.022 |
0.01 |
0.067 |
1.459 |
0.903 |
0.157 |
1.119 |
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Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 34 | 45 | 72 | 53 | 35 |
normalized size | 1 | 1. | 1. | 1.17 | 1.55 | 2.48 | 1.83 | 1.21 |
time (sec) |
N/A |
0.02 |
0.007 |
0.002 |
1.437 |
1.027 |
0.213 |
1.059 |
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Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
F(-2) |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 35 | 195 | 0 | 323 | 88 | 65 |
normalized size |
1 |
1. |
0.9 |
5. |
0. |
8.28 |
2.26 |
1.67 |
time (sec) |
N/A |
0.027 |
0.017 |
0.043 |
0. |
1.091 |
0.431 |
1.117 |
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Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
B |
B |
F(-2) |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 129 | 228 | 0 | 339 | 105 | 78 |
normalized size |
1 |
1. |
3.15 |
5.56 |
0. |
8.27 |
2.56 |
1.9 |
time (sec) |
N/A |
0.043 |
0.049 |
0.01 |
0. |
1.083 |
0.477 |
1.098 |
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Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 90 | 94 | 0 | 760 | 26 | 155 |
normalized size |
1 |
1. |
0.76 |
0.8 |
0. |
6.44 |
0.22 |
1.31 |
time (sec) |
N/A |
0.126 |
0.011 |
0.041 |
0. |
0.99 |
0.135 |
1.079 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 90 | 94 | 0 | 765 | 22 | 155 |
normalized size |
1 |
1. |
0.76 |
0.8 |
0. |
6.48 |
0.19 |
1.31 |
time (sec) |
N/A |
0.106 |
0.012 |
0.043 |
0. |
1.009 |
0.156 |
1.116 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 124 | 186 | 0 | 4590 | 76 | 224 |
normalized size |
1 |
1. |
0.77 |
1.16 |
0. |
28.51 |
0.47 |
1.39 |
time (sec) |
N/A |
0.166 |
0.039 |
0.043 |
0. |
6.199 |
0.658 |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 122 | 108 | 0 | 2425 | 75 | 162 |
normalized size |
1 |
1. |
0.91 |
0.81 |
0. |
18.1 |
0.56 |
1.21 |
time (sec) |
N/A |
0.113 |
0.023 |
0.043 |
0. |
6.385 |
0.299 |
1.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 123 | 111 | 0 | 2820 | 70 | 128 |
normalized size |
1 |
1. |
0.92 |
0.83 |
0. |
21.04 |
0.52 |
0.96 |
time (sec) |
N/A |
0.089 |
0.03 |
0.041 |
0. |
6.3 |
0.414 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 72 | 43 | 57 | 95 | 60 | 50 |
normalized size | 1 | 1. | 1.95 | 1.16 | 1.54 | 2.57 | 1.62 | 1.35 |
time (sec) |
N/A |
0.058 |
0.02 |
0.048 |
1.468 |
0.878 |
0.513 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 71 | 45 | 59 | 95 | 60 | 51 |
normalized size | 1 | 1. | 1.82 | 1.15 | 1.51 | 2.44 | 1.54 | 1.31 |
time (sec) |
N/A |
0.042 |
0.018 |
0.007 |
1.43 |
0.999 |
0.434 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 76 | 117 | 0 | 387 | 58 | 0 |
normalized size |
1 |
1. |
1.58 |
2.44 |
0. |
8.06 |
1.21 |
0. |
time (sec) |
N/A |
0.037 |
0.019 |
0.044 |
0. |
1.081 |
0.491 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 72 | 84 | 0 | 122 | 85 | 150 |
normalized size |
1 |
1. |
1.53 |
1.79 |
0. |
2.6 |
1.81 |
3.19 |
time (sec) |
N/A |
0.034 |
0.024 |
0.047 |
0. |
1.02 |
0.443 |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 99 | 122 | 0 | 466 | 58 | 0 |
normalized size |
1 |
1. |
1.74 |
2.14 |
0. |
8.18 |
1.02 |
0. |
time (sec) |
N/A |
0.069 |
0.029 |
0.006 |
0. |
1.053 |
0.583 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 106 | 110 | 0 | 130 | 95 | 132 |
normalized size |
1 |
1. |
2.26 |
2.34 |
0. |
2.77 |
2.02 |
2.81 |
time (sec) |
N/A |
0.061 |
0.039 |
0.007 |
0. |
1.025 |
0.468 |
1.138 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 146 | 87 | 0 | 138 | 100 | 224 |
normalized size |
1 |
1. |
2.92 |
1.74 |
0. |
2.76 |
2. |
4.48 |
time (sec) |
N/A |
0.077 |
0.052 |
0.044 |
0. |
1.05 |
0.536 |
1.126 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 150 | 135 | 0 | 140 | 110 | 219 |
normalized size |
1 |
1. |
2.83 |
2.55 |
0. |
2.64 |
2.08 |
4.13 |
time (sec) |
N/A |
0.081 |
0.059 |
0.007 |
0. |
1.033 |
0.554 |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 149 | 132 | 0 | 140 | 109 | 123 |
normalized size |
1 |
1. |
2.76 |
2.44 |
0. |
2.59 |
2.02 |
2.28 |
time (sec) |
N/A |
0.06 |
0.047 |
0.003 |
0. |
0.983 |
0.523 |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 147 | 90 | 0 | 138 | 102 | 115 |
normalized size |
1 |
1. |
2.77 |
1.7 |
0. |
2.6 |
1.92 |
2.17 |
time (sec) |
N/A |
0.058 |
0.043 |
0.005 |
0. |
1.044 |
0.623 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 95 | 117 | 0 | 463 | 70 | 0 |
normalized size |
1 |
1. |
1.56 |
1.92 |
0. |
7.59 |
1.15 |
0. |
time (sec) |
N/A |
0.041 |
0.017 |
0.005 |
0. |
1.051 |
0.669 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 116 | 122 | 0 | 539 | 73 | 0 |
normalized size |
1 |
1. |
1.66 |
1.74 |
0. |
7.7 |
1.04 |
0. |
time (sec) |
N/A |
0.072 |
0.028 |
0.007 |
0. |
1.087 |
0.766 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 50 | 32 | 42 | 107 | 42 | 43 |
normalized size | 1 | 1. | 1.25 | 0.8 | 1.05 | 2.68 | 1.05 | 1.08 |
time (sec) |
N/A |
0.03 |
0.01 |
0.005 |
1.457 |
1.001 |
0.123 |
1.204 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 122 | 310 | 0 | 1058 | 0 | 0 |
normalized size |
1 |
1. |
1.74 |
4.43 |
0. |
15.11 |
0. |
0. |
time (sec) |
N/A |
0.067 |
0.046 |
0.004 |
0. |
11.304 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F(-2) |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 238 | 345 | 0 | 1129 | 0 | 0 |
normalized size |
1 |
1. |
2.7 |
3.92 |
0. |
12.83 |
0. |
0. |
time (sec) |
N/A |
0.112 |
0.526 |
0.006 |
0. |
9.575 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 12 | 12 | 16 | 22 | 7 | 18 |
normalized size | 1 | 1. | 1.09 | 1.09 | 1.45 | 2. | 0.64 | 1.64 |
time (sec) |
N/A |
0.011 |
0.002 |
0.039 |
0.995 |
0.918 |
0.069 |
1.502 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 218 | 0 | 51 | 20 | 22 |
normalized size |
1 |
1. |
1. |
10.38 |
0. |
2.43 |
0.95 |
1.05 |
time (sec) |
N/A |
0.015 |
0.003 |
0.005 |
0. |
1.018 |
0.312 |
1.472 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
B |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 247 | 121 | 0 | 948 | 0 | 362 |
normalized size |
1 |
1. |
3.48 |
1.7 |
0. |
13.35 |
0. |
5.1 |
time (sec) |
N/A |
0.094 |
0.267 |
0.005 |
0. |
5.691 |
0. |
1.249 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F(-2) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 288 | 345 | 0 | 972 | 0 | 351 |
normalized size |
1 |
1. |
3.79 |
4.54 |
0. |
12.79 |
0. |
4.62 |
time (sec) |
N/A |
0.102 |
0.177 |
0.006 |
0. |
5.776 |
0. |
1.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
B |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 253 | 340 | 0 | 968 | 0 | 180 |
normalized size |
1 |
1. |
3.24 |
4.36 |
0. |
12.41 |
0. |
2.31 |
time (sec) |
N/A |
0.108 |
0.251 |
0.005 |
0. |
5.751 |
0. |
1.13 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
B |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 244 | 124 | 0 | 952 | 0 | 169 |
normalized size |
1 |
1. |
3.25 |
1.65 |
0. |
12.69 |
0. |
2.25 |
time (sec) |
N/A |
0.105 |
0.261 |
0.007 |
0. |
5.992 |
0. |
1.089 |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 31 | 36 | 35 | 77 | 24 | 36 |
normalized size | 1 | 1. | 0.97 | 1.12 | 1.09 | 2.41 | 0.75 | 1.12 |
time (sec) |
N/A |
0.034 |
0.012 |
0.045 |
1.443 |
1.28 |
0.31 |
1.064 |
|
|
|
|
|
|
|
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|
|
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|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 62 | 87 | 63 | 158 | 323 | 70 |
normalized size | 1 | 1. | 1.13 | 1.58 | 1.15 | 2.87 | 5.87 | 1.27 |
time (sec) |
N/A |
0.057 |
0.033 |
0.043 |
1.454 |
1.344 |
0.891 |
1.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 18 | 5 | 9 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 2.25 | 0.62 | 1.12 |
time (sec) |
N/A |
0.006 |
0.001 |
0.001 |
0.978 |
1.196 |
0.072 |
1.079 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 33 | 43 | 101 | 5 | 45 |
normalized size | 1 | 1. | 1. | 1.1 | 1.43 | 3.37 | 0.17 | 1.5 |
time (sec) |
N/A |
0.03 |
0.009 |
0.005 |
1.446 |
1.238 |
0.121 |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 17 | 22 | 46 | 15 | 23 |
normalized size | 1 | 1. | 1. | 0.94 | 1.22 | 2.56 | 0.83 | 1.28 |
time (sec) |
N/A |
0.019 |
0.005 |
0.004 |
1.443 |
1.401 |
0.112 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 113 | 98 | 131 | 232 | 117 | 131 |
normalized size | 1 | 1. | 1. | 0.87 | 1.16 | 2.05 | 1.04 | 1.16 |
time (sec) |
N/A |
0.099 |
0.004 |
0.001 |
0.985 |
1.118 |
0.087 |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 88 | 75 | 100 | 180 | 90 | 100 |
normalized size | 1 | 1. | 1. | 0.85 | 1.14 | 2.05 | 1.02 | 1.14 |
time (sec) |
N/A |
0.06 |
0.003 |
0.001 |
0.96 |
1.108 |
0.079 |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 60 | 51 | 68 | 120 | 58 | 68 |
normalized size | 1 | 1. | 1. | 0.85 | 1.13 | 2. | 0.97 | 1.13 |
time (sec) |
N/A |
0.038 |
0.002 |
0.001 |
0.99 |
1.08 |
0.076 |
1.063 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 11 | 14 | 23 | 8 | 14 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 1.92 | 0.67 | 1.17 |
time (sec) |
N/A |
0.014 |
0.001 |
0.002 |
0.949 |
1.253 |
0.069 |
1.063 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 124 | 186 | 0 | 4590 | 76 | 216 |
normalized size |
1 |
1. |
0.77 |
1.16 |
0. |
28.51 |
0.47 |
1.34 |
time (sec) |
N/A |
0.098 |
0.045 |
0.002 |
0. |
8.105 |
0.688 |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 189 | 189 | 180 | 238 | 0 | 4961 | 105 | 252 |
normalized size |
1 |
1. |
0.95 |
1.26 |
0. |
26.25 |
0.56 |
1.33 |
time (sec) |
N/A |
0.127 |
0.148 |
0.004 |
0. |
7.999 |
1.111 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 585 | 585 | 78 | 1618 | 0 | 0 | 265 | 0 |
normalized size | 1 | 1. | 0.13 | 2.77 | 0. | 0. | 0.45 | 0. |
time (sec) |
N/A |
0.464 |
0.04 |
0.009 |
0. |
0. |
5.448 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 556 | 556 | 76 | 1546 | 0 | 0 | 170 | 0 |
normalized size | 1 | 1. | 0.14 | 2.78 | 0. | 0. | 0.31 | 0. |
time (sec) |
N/A |
0.327 |
0.032 |
0.008 |
0. |
0. |
3.5 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 525 | 525 | 75 | 1480 | 0 | 0 | 163 | 0 |
normalized size | 1 | 1. | 0.14 | 2.82 | 0. | 0. | 0.31 | 0. |
time (sec) |
N/A |
0.239 |
0.029 |
0.009 |
0. |
0. |
2.861 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 490 | 490 | 75 | 1536 | 0 | 0 | 78 | 0 |
normalized size | 1 | 1. | 0.15 | 3.13 | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.158 |
0.032 |
0.011 |
0. |
0. |
2.872 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 522 | 522 | 96 | 1662 | 0 | 0 | 163 | 0 |
normalized size | 1 | 1. | 0.18 | 3.18 | 0. | 0. | 0.31 | 0. |
time (sec) |
N/A |
0.249 |
0.051 |
0.009 |
0. |
0. |
12.033 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 554 | 554 | 123 | 1782 | 0 | 0 | 163 | 0 |
normalized size | 1 | 1. | 0.22 | 3.22 | 0. | 0. | 0.29 | 0. |
time (sec) |
N/A |
0.317 |
0.089 |
0.088 |
0. |
0. |
102.473 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 581 | 581 | 138 | 1902 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.24 |
3.27 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.41 |
0.117 |
0.057 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 590 | 590 | 135 | 1491 | 0 | 0 | 187 | 0 |
normalized size | 1 | 1. | 0.23 | 2.53 | 0. | 0. | 0.32 | 0. |
time (sec) |
N/A |
0.556 |
0.121 |
0.046 |
0. |
0. |
3.088 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 594 | 594 | 130 | 1547 | 0 | 0 | 189 | 0 |
normalized size | 1 | 1. | 0.22 | 2.6 | 0. | 0. | 0.32 | 0. |
time (sec) |
N/A |
0.433 |
0.121 |
0.005 |
0. |
0. |
18.522 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 628 | 628 | 170 | 1673 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.27 |
2.66 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.5 |
0.185 |
0.006 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 676 | 676 | 196 | 1793 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.29 |
2.65 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.675 |
0.253 |
0.006 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 186 | 186 | 200 | 211 | 0 | 10904 | 156 | 262 |
normalized size |
1 |
1. |
1.08 |
1.13 |
0. |
58.62 |
0.84 |
1.41 |
time (sec) |
N/A |
0.178 |
0.084 |
0.002 |
0. |
8.11 |
1.034 |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 222 | 222 | 214 | 325 | 0 | 15101 | 245 | 327 |
normalized size |
1 |
1. |
0.96 |
1.46 |
0. |
68.02 |
1.1 |
1.47 |
time (sec) |
N/A |
0.319 |
0.17 |
0.005 |
0. |
14.948 |
2.644 |
1.092 |
|
|
|
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Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 282 | 280 | 277 | 446 | 0 | 18692 | 325 | 427 |
normalized size |
1 |
0.99 |
0.98 |
1.58 |
0. |
66.28 |
1.15 |
1.51 |
time (sec) |
N/A |
0.443 |
0.244 |
0.003 |
0. |
57.848 |
5.48 |
1.085 |
|
|
|
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Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 272 | 270 | 269 | 444 | 0 | 26617 | 546 | 383 |
normalized size |
1 |
0.99 |
0.99 |
1.63 |
0. |
97.86 |
2.01 |
1.41 |
time (sec) |
N/A |
0.49 |
0.284 |
0.004 |
0. |
15.671 |
8.799 |
1.07 |
|
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Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 416 | 416 | 439 | 837 | 0 | 0 | 1314 | 648 |
normalized size |
1 |
1. |
1.06 |
2.01 |
0. |
0. |
3.16 |
1.56 |
time (sec) |
N/A |
0.7 |
0.451 |
0.005 |
0. |
0. |
86.1 |
1.068 |
|
|
|
|
|
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Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 645 | 643 | 678 | 1339 | 0 | 0 | 0 | 1060 |
normalized size |
1 |
1. |
1.05 |
2.08 |
0. |
0. |
0. |
1.64 |
time (sec) |
N/A |
1.097 |
0.349 |
0.007 |
0. |
0. |
0. |
1.088 |
|
|
|
|
|
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|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 54 | 38 | 50 | 120 | 44 | 51 |
normalized size | 1 | 1. | 1.26 | 0.88 | 1.16 | 2.79 | 1.02 | 1.19 |
time (sec) |
N/A |
0.078 |
0.012 |
0.005 |
1.401 |
1.556 |
0.124 |
1.087 |
|
|
|
|
|
|
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|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 54 | 38 | 50 | 122 | 46 | 51 |
normalized size | 1 | 1. | 1.17 | 0.83 | 1.09 | 2.65 | 1. | 1.11 |
time (sec) |
N/A |
0.084 |
0.012 |
0.005 |
1.416 |
1.516 |
0.121 |
1.08 |
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 44 | 38 | 50 | 122 | 48 | 51 |
normalized size | 1 | 1. | 1. | 0.86 | 1.14 | 2.77 | 1.09 | 1.16 |
time (sec) |
N/A |
0.043 |
0.008 |
0.004 |
1.426 |
1.549 |
0.12 |
1.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 230 | 230 | 47 | 407 | 0 | 0 | 92 | 0 |
normalized size | 1 | 1. | 0.2 | 1.77 | 0. | 0. | 0.4 | 0. |
time (sec) |
N/A |
0.06 |
0.02 |
0.013 |
0. |
0. |
1.639 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 43 | 368 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.17 | 1.43 | 0. | 0. | 0.38 | 0. |
time (sec) |
N/A |
0.067 |
0.016 |
0.016 |
0. |
0. |
2.356 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 63 | 407 | 0 | 0 | 82 | 0 |
normalized size | 1 | 1. | 0.44 | 2.83 | 0. | 0. | 0.57 | 0. |
time (sec) |
N/A |
0.027 |
0.024 |
0.013 |
0. |
0. |
2.362 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 67 | 370 | 0 | 0 | 99 | 0 |
normalized size | 1 | 1. | 0.5 | 2.74 | 0. | 0. | 0.73 | 0. |
time (sec) |
N/A |
0.033 |
0.026 |
0.011 |
0. |
0. |
1.65 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 468 | 468 | 90 | 1003 | 0 | 0 | 122 | 0 |
normalized size | 1 | 1. | 0.19 | 2.14 | 0. | 0. | 0.26 | 0. |
time (sec) |
N/A |
0.121 |
0.056 |
0.068 |
0. |
0. |
3.347 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 481 | 481 | 91 | 949 | 0 | 0 | 128 | 0 |
normalized size | 1 | 1. | 0.19 | 1.97 | 0. | 0. | 0.27 | 0. |
time (sec) |
N/A |
0.139 |
0.057 |
0.087 |
0. |
0. |
3.507 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 92 | 952 | 0 | 0 | 112 | 0 |
normalized size | 1 | 1. | 0.34 | 3.51 | 0. | 0. | 0.41 | 0. |
time (sec) |
N/A |
0.066 |
0.04 |
0.035 |
0. |
0. |
3.547 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 266 | 93 | 1012 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.35 | 3.8 | 0. | 0. | 0.48 | 0. |
time (sec) |
N/A |
0.062 |
0.043 |
0.028 |
0. |
0. |
3.535 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 520 | 520 | 89 | 1004 | 0 | 0 | 124 | 0 |
normalized size | 1 | 1. | 0.17 | 1.93 | 0. | 0. | 0.24 | 0. |
time (sec) |
N/A |
0.213 |
0.048 |
0.034 |
0. |
0. |
2.167 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 533 | 533 | 89 | 950 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.17 | 1.78 | 0. | 0. | 0.24 | 0. |
time (sec) |
N/A |
0.172 |
0.044 |
0.036 |
0. |
0. |
2.77 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 256 | 256 | 90 | 953 | 0 | 0 | 114 | 0 |
normalized size | 1 | 1. | 0.35 | 3.72 | 0. | 0. | 0.45 | 0. |
time (sec) |
N/A |
0.083 |
0.032 |
0.019 |
0. |
0. |
2.753 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 251 | 251 | 92 | 1013 | 0 | 0 | 131 | 0 |
normalized size | 1 | 1. | 0.37 | 4.04 | 0. | 0. | 0.52 | 0. |
time (sec) |
N/A |
0.064 |
0.034 |
0.012 |
0. |
0. |
2.279 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 49 | 407 | 0 | 0 | 92 | 0 |
normalized size | 1 | 1. | 0.39 | 3.2 | 0. | 0. | 0.72 | 0. |
time (sec) |
N/A |
0.019 |
0.021 |
0.013 |
0. |
0. |
1.597 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 45 | 368 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.32 | 2.59 | 0. | 0. | 0.68 | 0. |
time (sec) |
N/A |
0.025 |
0.016 |
0.011 |
0. |
0. |
2.419 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 264 | 264 | 63 | 407 | 0 | 0 | 82 | 0 |
normalized size | 1 | 1. | 0.24 | 1.54 | 0. | 0. | 0.31 | 0. |
time (sec) |
N/A |
0.054 |
0.026 |
0.008 |
0. |
0. |
2.439 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 247 | 247 | 67 | 370 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.27 | 1.5 | 0. | 0. | 0.39 | 0. |
time (sec) |
N/A |
0.054 |
0.024 |
0.008 |
0. |
0. |
1.669 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 47 | 407 | 0 | 0 | 92 | 0 |
normalized size | 1 | 1. | 0.37 | 3.23 | 0. | 0. | 0.73 | 0. |
time (sec) |
N/A |
0.025 |
0.015 |
0.01 |
0. |
0. |
2.302 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 43 | 368 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.3 | 2.57 | 0. | 0. | 0.68 | 0. |
time (sec) |
N/A |
0.025 |
0.011 |
0.009 |
0. |
0. |
1.719 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 263 | 263 | 63 | 407 | 0 | 0 | 82 | 0 |
normalized size | 1 | 1. | 0.24 | 1.55 | 0. | 0. | 0.31 | 0. |
time (sec) |
N/A |
0.05 |
0.02 |
0.009 |
0. |
0. |
1.689 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 248 | 248 | 67 | 370 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.27 | 1.49 | 0. | 0. | 0.39 | 0. |
time (sec) |
N/A |
0.052 |
0.019 |
0.011 |
0. |
0. |
2.395 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 256 | 256 | 90 | 1003 | 0 | 0 | 122 | 0 |
normalized size | 1 | 1. | 0.35 | 3.92 | 0. | 0. | 0.48 | 0. |
time (sec) |
N/A |
0.045 |
0.062 |
0.038 |
0. |
0. |
3.327 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 263 | 263 | 90 | 949 | 0 | 0 | 128 | 0 |
normalized size | 1 | 1. | 0.34 | 3.61 | 0. | 0. | 0.49 | 0. |
time (sec) |
N/A |
0.042 |
0.062 |
0.04 |
0. |
0. |
3.556 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 497 | 497 | 91 | 952 | 0 | 0 | 112 | 0 |
normalized size | 1 | 1. | 0.18 | 1.92 | 0. | 0. | 0.23 | 0. |
time (sec) |
N/A |
0.133 |
0.039 |
0.014 |
0. |
0. |
3.545 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 488 | 488 | 93 | 1012 | 0 | 0 | 128 | 0 |
normalized size | 1 | 1. | 0.19 | 2.07 | 0. | 0. | 0.26 | 0. |
time (sec) |
N/A |
0.115 |
0.05 |
0.017 |
0. |
0. |
3.563 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 89 | 1004 | 0 | 0 | 124 | 0 |
normalized size | 1 | 1. | 0.37 | 4.17 | 0. | 0. | 0.51 | 0. |
time (sec) |
N/A |
0.069 |
0.051 |
0.03 |
0. |
0. |
2.175 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 248 | 248 | 89 | 950 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.36 | 3.83 | 0. | 0. | 0.52 | 0. |
time (sec) |
N/A |
0.061 |
0.044 |
0.033 |
0. |
0. |
2.77 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 549 | 549 | 90 | 953 | 0 | 0 | 114 | 0 |
normalized size | 1 | 1. | 0.16 | 1.74 | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.218 |
0.032 |
0.014 |
0. |
0. |
2.731 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 540 | 540 | 92 | 1013 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.17 | 1.88 | 0. | 0. | 0.24 | 0. |
time (sec) |
N/A |
0.163 |
0.039 |
0.016 |
0. |
0. |
2.293 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 490 | 490 | 75 | 720 | 0 | 0 | 78 | 0 |
normalized size | 1 | 1. | 0.15 | 1.47 | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.148 |
0.029 |
0.003 |
0. |
0. |
1.626 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 503 | 503 | 75 | 681 | 0 | 0 | 82 | 0 |
normalized size | 1 | 1. | 0.15 | 1.35 | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.149 |
0.035 |
0.004 |
0. |
0. |
1.722 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 515 | 515 | 76 | 683 | 0 | 0 | 73 | 0 |
normalized size | 1 | 1. | 0.15 | 1.33 | 0. | 0. | 0.14 | 0. |
time (sec) |
N/A |
0.163 |
0.025 |
0.004 |
0. |
0. |
1.701 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 508 | 508 | 78 | 726 | 0 | 0 | 83 | 0 |
normalized size | 1 | 1. | 0.15 | 1.43 | 0. | 0. | 0.16 | 0. |
time (sec) |
N/A |
0.154 |
0.025 |
0.005 |
0. |
0. |
1.722 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 246 | 246 | 42 | 291 | 0 | 0 | 61 | 0 |
normalized size | 1 | 1. | 0.17 | 1.18 | 0. | 0. | 0.25 | 0. |
time (sec) |
N/A |
0.081 |
0.01 |
0.004 |
0. |
0. |
1.385 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 38 | 267 | 0 | 0 | 65 | 0 |
normalized size | 1 | 1. | 0.14 | 0.99 | 0. | 0. | 0.24 | 0. |
time (sec) |
N/A |
0.087 |
0.009 |
0.005 |
0. |
0. |
1.461 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 275 | 275 | 58 | 291 | 0 | 0 | 56 | 0 |
normalized size | 1 | 1. | 0.21 | 1.06 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.087 |
0.022 |
0.004 |
0. |
0. |
1.43 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 261 | 261 | 62 | 269 | 0 | 0 | 66 | 0 |
normalized size | 1 | 1. | 0.24 | 1.03 | 0. | 0. | 0.25 | 0. |
time (sec) |
N/A |
0.078 |
0.022 |
0.004 |
0. |
0. |
1.448 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 134 | 101 | 0 | 0 | 126 | 304 |
normalized size |
1 |
1. |
1.54 |
1.16 |
0. |
0. |
1.45 |
3.49 |
time (sec) |
N/A |
0.065 |
0.035 |
0.004 |
0. |
0. |
0.77 |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 219 | 219 | 184 | 151 | 0 | 0 | 124 | 288 |
normalized size |
1 |
1. |
0.84 |
0.69 |
0. |
0. |
0.57 |
1.32 |
time (sec) |
N/A |
0.171 |
0.082 |
0.003 |
0. |
0. |
0.759 |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 168 | 142 | 0 | 0 | 155 | 343 |
normalized size |
1 |
1. |
1.53 |
1.29 |
0. |
0. |
1.41 |
3.12 |
time (sec) |
N/A |
0.082 |
0.16 |
0.004 |
0. |
0. |
1.276 |
1.091 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 224 | 188 | 0 | 0 | 155 | 321 |
normalized size |
1 |
1. |
0.93 |
0.78 |
0. |
0. |
0.64 |
1.33 |
time (sec) |
N/A |
0.202 |
0.204 |
0.004 |
0. |
0. |
1.258 |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 193 | 180 | 0 | 0 | 194 | 367 |
normalized size |
1 |
1. |
1.42 |
1.32 |
0. |
0. |
1.43 |
2.7 |
time (sec) |
N/A |
0.11 |
0.146 |
0.006 |
0. |
0. |
2.194 |
1.089 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 266 | 249 | 222 | 0 | 0 | 192 | 346 |
normalized size |
1 |
1. |
0.94 |
0.83 |
0. |
0. |
0.72 |
1.3 |
time (sec) |
N/A |
0.23 |
0.207 |
0.006 |
0. |
0. |
2.155 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 217 | 177 | 0 | 0 | 231 | 400 |
normalized size |
1 |
1. |
1.34 |
1.09 |
0. |
0. |
1.43 |
2.47 |
time (sec) |
N/A |
0.13 |
0.178 |
0.013 |
0. |
0. |
6.646 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 291 | 291 | 274 | 225 | 0 | 0 | 231 | 378 |
normalized size |
1 |
1. |
0.94 |
0.77 |
0. |
0. |
0.79 |
1.3 |
time (sec) |
N/A |
0.268 |
0.284 |
0.014 |
0. |
0. |
6.626 |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 42 | 44 | 47 | 119 | 313 | 50 |
normalized size | 1 | 1. | 1.75 | 1.83 | 1.96 | 4.96 | 13.04 | 2.08 |
time (sec) |
N/A |
0.018 |
0.015 |
0.004 |
1.442 |
1.293 |
0.459 |
1.053 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 99 | 68 | 116 | 0 | 83 | 116 |
normalized size |
1 |
1. |
1.01 |
0.69 |
1.18 |
0. |
0.85 |
1.18 |
time (sec) |
N/A |
0.067 |
0.067 |
0.004 |
1.536 |
0. |
0.411 |
1.064 |
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 187 | 161 | 0 | 0 | 471 | 396 |
normalized size |
1 |
1. |
1.61 |
1.39 |
0. |
0. |
4.06 |
3.41 |
time (sec) |
N/A |
0.095 |
0.051 |
0.002 |
0. |
0. |
5.494 |
1.083 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 277 | 277 | 229 | 280 | 0 | 0 | 466 | 371 |
normalized size |
1 |
1. |
0.83 |
1.01 |
0. |
0. |
1.68 |
1.34 |
time (sec) |
N/A |
0.197 |
0.1 |
0.003 |
0. |
0. |
5.469 |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 211 | 228 | 0 | 0 | 507 | 440 |
normalized size |
1 |
1. |
1.45 |
1.56 |
0. |
0. |
3.47 |
3.01 |
time (sec) |
N/A |
0.128 |
0.201 |
0.003 |
0. |
0. |
7.278 |
1.086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 308 | 308 | 305 | 344 | 0 | 0 | 505 | 413 |
normalized size |
1 |
1. |
0.99 |
1.12 |
0. |
0. |
1.64 |
1.34 |
time (sec) |
N/A |
0.255 |
0.33 |
0.004 |
0. |
0. |
7.284 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 179 | 179 | 244 | 286 | 0 | 0 | 563 | 481 |
normalized size |
1 |
1. |
1.36 |
1.6 |
0. |
0. |
3.15 |
2.69 |
time (sec) |
N/A |
0.167 |
0.213 |
0.005 |
0. |
0. |
10.206 |
1.101 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 341 | 341 | 337 | 396 | 0 | 0 | 558 | 454 |
normalized size |
1 |
1. |
0.99 |
1.16 |
0. |
0. |
1.64 |
1.33 |
time (sec) |
N/A |
0.311 |
0.307 |
0.006 |
0. |
0. |
10.127 |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 211 | 211 | 276 | 274 | 0 | 0 | 612 | 531 |
normalized size |
1 |
1. |
1.31 |
1.3 |
0. |
0. |
2.9 |
2.52 |
time (sec) |
N/A |
0.211 |
0.258 |
0.013 |
0. |
0. |
16.479 |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 372 | 372 | 369 | 394 | 0 | 0 | 610 | 504 |
normalized size |
1 |
1. |
0.99 |
1.06 |
0. |
0. |
1.64 |
1.35 |
time (sec) |
N/A |
0.379 |
0.394 |
0.013 |
0. |
0. |
16.342 |
1.089 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 27 | 24 | 34 | 55 | 27 | 34 |
normalized size | 1 | 1. | 0.96 | 0.86 | 1.21 | 1.96 | 0.96 | 1.21 |
time (sec) |
N/A |
0.011 |
0.002 |
0.04 |
0.956 |
1.056 |
0.06 |
1.069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 27 | 36 | 66 | 29 | 36 |
normalized size | 1 | 1. | 0.97 | 0.82 | 1.09 | 2. | 0.88 | 1.09 |
time (sec) |
N/A |
0.014 |
0.001 |
0.039 |
1.055 |
1.065 |
0.061 |
1.044 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 60 | 51 | 68 | 123 | 58 | 68 |
normalized size | 1 | 1. | 1. | 0.85 | 1.13 | 2.05 | 0.97 | 1.13 |
time (sec) |
N/A |
0.062 |
0.002 |
0.039 |
0.982 |
1. |
0.066 |
1.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 27 | 36 | 66 | 31 | 36 |
normalized size | 1 | 1. | 1. | 0.82 | 1.09 | 2. | 0.94 | 1.09 |
time (sec) |
N/A |
0.013 |
0.001 |
0.041 |
0.986 |
1.053 |
0.059 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 60 | 51 | 68 | 123 | 60 | 68 |
normalized size | 1 | 1. | 1. | 0.85 | 1.13 | 2.05 | 1. | 1.13 |
time (sec) |
N/A |
0.027 |
0.002 |
0.041 |
0.975 |
1.056 |
0.069 |
1.047 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 65 | 54 | 72 | 134 | 61 | 72 |
normalized size | 1 | 1. | 1. | 0.83 | 1.11 | 2.06 | 0.94 | 1.11 |
time (sec) |
N/A |
0.098 |
0.003 |
0.04 |
1.01 |
1.087 |
0.068 |
1.057 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 92 | 77 | 103 | 190 | 90 | 103 |
normalized size | 1 | 1. | 1. | 0.84 | 1.12 | 2.07 | 0.98 | 1.12 |
time (sec) |
N/A |
0.053 |
0.003 |
0.041 |
0.981 |
1.123 |
0.07 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 33 | 27 | 20 | 66 | 29 | 22 |
normalized size | 1 | 1. | 1.94 | 1.59 | 1.18 | 3.88 | 1.71 | 1.29 |
time (sec) |
N/A |
0.005 |
0.001 |
0.039 |
1.014 |
1.055 |
0.059 |
1.061 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 60 | 51 | 68 | 123 | 58 | 68 |
normalized size | 1 | 1. | 1.33 | 1.13 | 1.51 | 2.73 | 1.29 | 1.51 |
time (sec) |
N/A |
0.019 |
0.002 |
0.038 |
0.993 |
1.044 |
0.065 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 65 | 54 | 72 | 134 | 60 | 72 |
normalized size | 1 | 1. | 1.3 | 1.08 | 1.44 | 2.68 | 1.2 | 1.44 |
time (sec) |
N/A |
0.02 |
0.003 |
0.042 |
1.002 |
1.025 |
0.066 |
1.054 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 92 | 77 | 103 | 190 | 88 | 103 |
normalized size | 1 | 1. | 1.19 | 1. | 1.34 | 2.47 | 1.14 | 1.34 |
time (sec) |
N/A |
0.051 |
0.003 |
0.04 |
1.004 |
1.096 |
0.068 |
1.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 65 | 54 | 72 | 134 | 61 | 72 |
normalized size | 1 | 1. | 1.3 | 1.08 | 1.44 | 2.68 | 1.22 | 1.44 |
time (sec) |
N/A |
0.023 |
0.003 |
0.039 |
1.044 |
1.089 |
0.066 |
1.056 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 92 | 77 | 103 | 190 | 90 | 103 |
normalized size | 1 | 1. | 1.19 | 1. | 1.34 | 2.47 | 1.17 | 1.34 |
time (sec) |
N/A |
0.042 |
0.004 |
0.039 |
0.942 |
0.986 |
0.068 |
1.051 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 97 | 80 | 107 | 201 | 92 | 107 |
normalized size | 1 | 1. | 1.18 | 0.98 | 1.3 | 2.45 | 1.12 | 1.3 |
time (sec) |
N/A |
0.084 |
0.004 |
0.04 |
0.942 |
1.071 |
0.071 |
1.06 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 124 | 103 | 138 | 258 | 121 | 142 |
normalized size | 1 | 1. | 1.14 | 0.94 | 1.27 | 2.37 | 1.11 | 1.3 |
time (sec) |
N/A |
0.08 |
0.006 |
0. |
0.933 |
1.154 |
0.073 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 180 | 151 | 203 | 375 | 180 | 208 |
normalized size | 1 | 1. | 1.19 | 1. | 1.34 | 2.48 | 1.19 | 1.38 |
time (sec) |
N/A |
0.106 |
0.004 |
0.001 |
0.95 |
0.924 |
0.085 |
1.054 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 155 | 155 | 220 | 248 | 0 | 0 | 518 | 452 |
normalized size |
1 |
1. |
1.42 |
1.6 |
0. |
0. |
3.34 |
2.92 |
time (sec) |
N/A |
0.118 |
0.139 |
0.003 |
0. |
0. |
15.127 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 253 | 326 | 0 | 0 | 583 | 505 |
normalized size |
1 |
1. |
1.35 |
1.73 |
0. |
0. |
3.1 |
2.69 |
time (sec) |
N/A |
0.155 |
0.219 |
0.006 |
0. |
0. |
66.184 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 286 | 280 | 0 | 0 | 0 | 555 |
normalized size |
1 |
1. |
1.3 |
1.27 |
0. |
0. |
0. |
2.52 |
time (sec) |
N/A |
0.189 |
0.308 |
0.012 |
0. |
0. |
0. |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 78 | 114 | 166 | 882 | 88 | 131 |
normalized size | 1 | 1. | 0.77 | 1.13 | 1.64 | 8.73 | 0.87 | 1.3 |
time (sec) |
N/A |
0.096 |
0.029 |
0.043 |
1.477 |
1.666 |
0.359 |
1.111 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 16 | 20 | 54 | 19 | 20 |
normalized size | 1 | 1. | 1. | 0.73 | 0.91 | 2.45 | 0.86 | 0.91 |
time (sec) |
N/A |
0.013 |
0.009 |
0.04 |
1.424 |
1.498 |
0.09 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 107 | 129 | 198 | 0 | 88 | 155 |
normalized size |
1 |
1. |
0.87 |
1.05 |
1.61 |
0. |
0.72 |
1.26 |
time (sec) |
N/A |
0.103 |
0.049 |
0.003 |
1.486 |
0. |
0.454 |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 78 | 114 | 166 | 869 | 88 | 131 |
normalized size | 1 | 1. | 0.77 | 1.13 | 1.64 | 8.6 | 0.87 | 1.3 |
time (sec) |
N/A |
0.077 |
0.015 |
0.041 |
1.455 |
1.444 |
0.362 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 113 | 226 | 225 | 5063 | 68 | 177 |
normalized size | 1 | 1. | 0.8 | 1.6 | 1.6 | 35.91 | 0.48 | 1.26 |
time (sec) |
N/A |
0.098 |
0.051 |
0.002 |
1.456 |
1.62 |
0.365 |
1.108 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 99 | 129 | 198 | 0 | 85 | 154 |
normalized size |
1 |
1. |
0.8 |
1.05 |
1.61 |
0. |
0.69 |
1.25 |
time (sec) |
N/A |
0.118 |
0.044 |
0.022 |
1.46 |
0. |
0.459 |
1.11 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 129 | 241 | 252 | 0 | 292 | 193 |
normalized size |
1 |
1. |
0.79 |
1.48 |
1.55 |
0. |
1.79 |
1.18 |
time (sec) |
N/A |
0.124 |
0.071 |
0.003 |
1.447 |
0. |
3.075 |
1.113 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 12 | 15 | 31 | 10 | 15 |
normalized size | 1 | 1. | 1. | 0.92 | 1.15 | 2.38 | 0.77 | 1.15 |
time (sec) |
N/A |
0.004 |
0.003 |
0.039 |
0.943 |
1.392 |
0.076 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 108 | 125 | 201 | 1041 | 51 | 147 |
normalized size | 1 | 1. | 0.95 | 1.1 | 1.76 | 9.13 | 0.45 | 1.29 |
time (sec) |
N/A |
0.099 |
0.031 |
0.043 |
1.452 |
1.61 |
0.3 |
1.131 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
B |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 65 | 28 | 153 | 86 | 53 | 126 |
normalized size | 1 | 1. | 1.81 | 0.78 | 4.25 | 2.39 | 1.47 | 3.5 |
time (sec) |
N/A |
0.031 |
0.03 |
0.042 |
1.47 |
1.476 |
0.306 |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 128 | 140 | 231 | 0 | 199 | 169 |
normalized size |
1 |
1. |
0.94 |
1.03 |
1.7 |
0. |
1.46 |
1.24 |
time (sec) |
N/A |
0.118 |
0.058 |
0.041 |
1.455 |
0. |
1.189 |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 108 | 125 | 205 | 743 | 70 | 147 |
normalized size | 1 | 1. | 0.95 | 1.1 | 1.8 | 6.52 | 0.61 | 1.29 |
time (sec) |
N/A |
0.121 |
0.028 |
0.001 |
1.45 |
1.647 |
0.273 |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 154 | 154 | 148 | 237 | 263 | 5162 | 148 | 185 |
normalized size | 1 | 1. | 0.96 | 1.54 | 1.71 | 33.52 | 0.96 | 1.2 |
time (sec) |
N/A |
0.117 |
0.092 |
0.041 |
1.458 |
1.951 |
1.078 |
1.105 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 125 | 140 | 235 | 0 | 189 | 167 |
normalized size |
1 |
1. |
0.92 |
1.03 |
1.73 |
0. |
1.39 |
1.23 |
time (sec) |
N/A |
0.14 |
0.063 |
0.046 |
1.454 |
0. |
1.171 |
1.103 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 164 | 252 | 279 | 0 | 580 | 201 |
normalized size |
1 |
1. |
0.93 |
1.43 |
1.59 |
0. |
3.3 |
1.14 |
time (sec) |
N/A |
0.144 |
0.105 |
0.003 |
1.481 |
0. |
6.537 |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 18 | 5 | 9 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 2.25 | 0.62 | 1.12 |
time (sec) |
N/A |
0.008 |
0.001 |
0. |
0.954 |
1.487 |
0.056 |
1.05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 50 | 102 | 103 | 440 | 73 | 95 |
normalized size | 1 | 1. | 0.94 | 1.92 | 1.94 | 8.3 | 1.38 | 1.79 |
time (sec) |
N/A |
0.042 |
0.035 |
0.003 |
1.437 |
1.561 |
0.324 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 203 | 171 | 0 | 0 | 187 | 392 |
normalized size |
1 |
1. |
1.64 |
1.38 |
0. |
0. |
1.51 |
3.16 |
time (sec) |
N/A |
0.087 |
0.05 |
0.004 |
0. |
0. |
1.029 |
1.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 277 | 277 | 283 | 286 | 0 | 0 | 187 | 365 |
normalized size |
1 |
1. |
1.02 |
1.03 |
0. |
0. |
0.68 |
1.32 |
time (sec) |
N/A |
0.196 |
0.188 |
0.003 |
0. |
0. |
0.997 |
1.063 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 249 | 244 | 0 | 0 | 2394 | 539 |
normalized size |
1 |
1. |
1.68 |
1.65 |
0. |
0. |
16.18 |
3.64 |
time (sec) |
N/A |
0.203 |
0.081 |
0.005 |
0. |
0. |
156.777 |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 172 | 172 | 221 | 289 | 0 | 0 | 1406 | 528 |
normalized size |
1 |
1. |
1.28 |
1.68 |
0. |
0. |
8.17 |
3.07 |
time (sec) |
N/A |
0.165 |
0.314 |
0.008 |
0. |
0. |
169.346 |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 221 | 221 | 263 | 328 | 0 | 0 | 0 | 595 |
normalized size |
1 |
1. |
1.19 |
1.48 |
0. |
0. |
0. |
2.69 |
time (sec) |
N/A |
0.263 |
0.492 |
0.011 |
0. |
0. |
0. |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 266 | 313 | 368 | 0 | 0 | 0 | 662 |
normalized size |
1 |
1. |
1.18 |
1.38 |
0. |
0. |
0. |
2.49 |
time (sec) |
N/A |
0.32 |
0.324 |
0.012 |
0. |
0. |
0. |
1.099 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 319 | 319 | 311 | 429 | 0 | 0 | 2392 | 459 |
normalized size |
1 |
1. |
0.97 |
1.34 |
0. |
0. |
7.5 |
1.44 |
time (sec) |
N/A |
0.351 |
0.318 |
0.005 |
0. |
0. |
158.354 |
1.104 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 341 | 341 | 319 | 482 | 0 | 0 | 1406 | 493 |
normalized size |
1 |
1. |
0.94 |
1.41 |
0. |
0. |
4.12 |
1.45 |
time (sec) |
N/A |
0.305 |
0.196 |
0.009 |
0. |
0. |
170.756 |
1.079 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 394 | 394 | 366 | 519 | 0 | 0 | 0 | 562 |
normalized size |
1 |
1. |
0.93 |
1.32 |
0. |
0. |
0. |
1.43 |
time (sec) |
N/A |
0.439 |
0.278 |
0.01 |
0. |
0. |
0. |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 437 | 437 | 411 | 560 | 0 | 0 | 0 | 629 |
normalized size |
1 |
1. |
0.94 |
1.28 |
0. |
0. |
0. |
1.44 |
time (sec) |
N/A |
0.531 |
0.366 |
0.014 |
0. |
0. |
0. |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 9 | 8 | 20 | 41 | 15 | 20 |
normalized size | 1 | 1. | 0.82 | 0.73 | 1.82 | 3.73 | 1.36 | 1.82 |
time (sec) |
N/A |
0.013 |
0.001 |
0.002 |
0.964 |
1.728 |
0.076 |
1.103 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 14 | 8 | 16 | 26 | 8 | 16 |
normalized size | 1 | 1. | 1.27 | 0.73 | 1.45 | 2.36 | 0.73 | 1.45 |
time (sec) |
N/A |
0.012 |
0.001 |
0.001 |
0.94 |
1.682 |
0.066 |
1.065 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 8 | 9 | 19 | 5 | 9 |
normalized size | 1 | 1. | 1. | 0.89 | 1. | 2.11 | 0.56 | 1. |
time (sec) |
N/A |
0.009 |
0. |
0.001 |
0.936 |
1.671 |
0.057 |
1.05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 18 | 5 | 9 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 2.25 | 0.62 | 1.12 |
time (sec) |
N/A |
0.007 |
0.001 |
0. |
0.943 |
1.702 |
0.057 |
1.053 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 8 | 9 | 16 | 5 | 9 |
normalized size | 1 | 1. | 1. | 1.14 | 1.29 | 2.29 | 0.71 | 1.29 |
time (sec) |
N/A |
0.016 |
0.001 |
0.001 |
0.96 |
1.664 |
0.08 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 9 | 8 | 16 | 28 | 10 | 9 |
normalized size | 1 | 1. | 0.82 | 0.73 | 1.45 | 2.55 | 0.91 | 0.82 |
time (sec) |
N/A |
0.018 |
0.001 |
0.002 |
0.937 |
1.661 |
0.097 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 9 | 8 | 23 | 41 | 17 | 9 |
normalized size | 1 | 1. | 0.82 | 0.73 | 2.09 | 3.73 | 1.55 | 0.82 |
time (sec) |
N/A |
0.019 |
0.001 |
0. |
0.942 |
1.695 |
0.103 |
1.053 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 165 | 165 | 256 | 296 | 0 | 0 | 0 | 539 |
normalized size |
1 |
1. |
1.55 |
1.79 |
0. |
0. |
0. |
3.27 |
time (sec) |
N/A |
0.261 |
0.257 |
0.045 |
0. |
0. |
0. |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 188 | 188 | 301 | 367 | 0 | 0 | 0 | 807 |
normalized size |
1 |
1. |
1.6 |
1.95 |
0. |
0. |
0. |
4.29 |
time (sec) |
N/A |
0.327 |
0.376 |
0.045 |
0. |
0. |
0. |
1.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 318 | 393 | 0 | 0 | 0 | 828 |
normalized size |
1 |
1. |
1.55 |
1.92 |
0. |
0. |
0. |
4.04 |
time (sec) |
N/A |
0.313 |
0.351 |
0.045 |
0. |
0. |
0. |
1.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 337 | 337 | 342 | 462 | 0 | 0 | 0 | 506 |
normalized size |
1 |
1. |
1.01 |
1.37 |
0. |
0. |
0. |
1.5 |
time (sec) |
N/A |
0.399 |
0.325 |
0.003 |
0. |
0. |
0. |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 384 | 384 | 427 | 603 | 0 | 0 | 0 | 759 |
normalized size |
1 |
1. |
1.11 |
1.57 |
0. |
0. |
0. |
1.98 |
time (sec) |
N/A |
0.565 |
0.307 |
0.004 |
0. |
0. |
0. |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 402 | 402 | 445 | 627 | 0 | 0 | 0 | 780 |
normalized size |
1 |
1. |
1.11 |
1.56 |
0. |
0. |
0. |
1.94 |
time (sec) |
N/A |
0.567 |
0.309 |
0.006 |
0. |
0. |
0. |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 184 | 184 | 257 | 340 | 0 | 0 | 0 | 574 |
normalized size |
1 |
1. |
1.4 |
1.85 |
0. |
0. |
0. |
3.12 |
time (sec) |
N/A |
0.204 |
0.163 |
0.008 |
0. |
0. |
0. |
1.076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 302 | 409 | 0 | 0 | 0 | 848 |
normalized size |
1 |
1. |
1.49 |
2.01 |
0. |
0. |
0. |
4.18 |
time (sec) |
N/A |
0.274 |
0.222 |
0.009 |
0. |
0. |
0. |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 338 | 431 | 0 | 0 | 0 | 884 |
normalized size |
1 |
1. |
1.5 |
1.92 |
0. |
0. |
0. |
3.93 |
time (sec) |
N/A |
0.31 |
0.24 |
0.011 |
0. |
0. |
0. |
1.12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 353 | 353 | 359 | 515 | 0 | 0 | 0 | 537 |
normalized size |
1 |
1. |
1.02 |
1.46 |
0. |
0. |
0. |
1.52 |
time (sec) |
N/A |
0.34 |
0.242 |
0.009 |
0. |
0. |
0. |
1.107 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 395 | 395 | 415 | 654 | 0 | 0 | 0 | 795 |
normalized size |
1 |
1. |
1.05 |
1.66 |
0. |
0. |
0. |
2.01 |
time (sec) |
N/A |
0.492 |
0.344 |
0.01 |
0. |
0. |
0. |
1.096 |
|
|
|
|
|
|
|
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Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 417 | 417 | 460 | 675 | 0 | 0 | 0 | 833 |
normalized size |
1 |
1. |
1.1 |
1.62 |
0. |
0. |
0. |
2. |
time (sec) |
N/A |
0.536 |
0.328 |
0.011 |
0. |
0. |
0. |
1.112 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 241 | 241 | 309 | 389 | 0 | 0 | 0 | 656 |
normalized size |
1 |
1. |
1.28 |
1.61 |
0. |
0. |
0. |
2.72 |
time (sec) |
N/A |
0.339 |
0.287 |
0.011 |
0. |
0. |
0. |
1.129 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 268 | 268 | 359 | 472 | 0 | 0 | 0 | 942 |
normalized size |
1 |
1. |
1.34 |
1.76 |
0. |
0. |
0. |
3.51 |
time (sec) |
N/A |
0.435 |
0.352 |
0.011 |
0. |
0. |
0. |
1.12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 285 | 285 | 380 | 488 | 0 | 0 | 0 | 986 |
normalized size |
1 |
1. |
1.33 |
1.71 |
0. |
0. |
0. |
3.46 |
time (sec) |
N/A |
0.391 |
0.277 |
0.012 |
0. |
0. |
0. |
1.124 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 413 | 413 | 411 | 561 | 0 | 0 | 0 | 620 |
normalized size |
1 |
1. |
1. |
1.36 |
0. |
0. |
0. |
1.5 |
time (sec) |
N/A |
0.486 |
0.364 |
0.012 |
0. |
0. |
0. |
1.108 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 463 | 463 | 473 | 716 | 0 | 0 | 0 | 892 |
normalized size |
1 |
1. |
1.02 |
1.55 |
0. |
0. |
0. |
1.93 |
time (sec) |
N/A |
0.686 |
0.531 |
0.011 |
0. |
0. |
0. |
1.124 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 480 | 480 | 500 | 731 | 0 | 0 | 0 | 936 |
normalized size |
1 |
1. |
1.04 |
1.52 |
0. |
0. |
0. |
1.95 |
time (sec) |
N/A |
0.666 |
0.429 |
0.013 |
0. |
0. |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 293 | 293 | 360 | 434 | 0 | 0 | 0 | 738 |
normalized size |
1 |
1. |
1.23 |
1.48 |
0. |
0. |
0. |
2.52 |
time (sec) |
N/A |
0.431 |
0.395 |
0.013 |
0. |
0. |
0. |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 331 | 331 | 422 | 522 | 0 | 0 | 0 | 1044 |
normalized size |
1 |
1. |
1.27 |
1.58 |
0. |
0. |
0. |
3.15 |
time (sec) |
N/A |
0.567 |
0.368 |
0.015 |
0. |
0. |
0. |
1.103 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 349 | 349 | 439 | 538 | 0 | 0 | 0 | 1087 |
normalized size |
1 |
1. |
1.26 |
1.54 |
0. |
0. |
0. |
3.11 |
time (sec) |
N/A |
0.524 |
0.368 |
0.015 |
0. |
0. |
0. |
1.112 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 462 | 462 | 461 | 607 | 0 | 0 | 0 | 703 |
normalized size |
1 |
1. |
1. |
1.31 |
0. |
0. |
0. |
1.52 |
time (sec) |
N/A |
0.619 |
0.462 |
0.014 |
0. |
0. |
0. |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 516 | 516 | 530 | 767 | 0 | 0 | 0 | 992 |
normalized size |
1 |
1. |
1.03 |
1.49 |
0. |
0. |
0. |
1.92 |
time (sec) |
N/A |
0.85 |
0.703 |
0.014 |
0. |
0. |
0. |
1.107 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 534 | 534 | 555 | 783 | 0 | 0 | 0 | 1035 |
normalized size |
1 |
1. |
1.04 |
1.47 |
0. |
0. |
0. |
1.94 |
time (sec) |
N/A |
0.824 |
0.553 |
0.014 |
0. |
0. |
0. |
1.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 79 | 96 | 0 | 0 | 61 | 0 |
normalized size | 1 | 1. | 0.65 | 0.79 | 0. | 0. | 0.5 | 0. |
time (sec) |
N/A |
0.068 |
0.047 |
0.073 |
0. |
0. |
1.84 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 81 | 90 | 0 | 0 | 97 | 0 |
normalized size | 1 | 1. | 0.93 | 1.03 | 0. | 0. | 1.11 | 0. |
time (sec) |
N/A |
0.062 |
0.047 |
0.015 |
0. |
0. |
1.962 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 83 | 95 | 0 | 0 | 92 | 0 |
normalized size | 1 | 1. | 0.93 | 1.07 | 0. | 0. | 1.03 | 0. |
time (sec) |
N/A |
0.06 |
0.042 |
0.019 |
0. |
0. |
1.965 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 85 | 101 | 0 | 0 | 66 | 0 |
normalized size | 1 | 1. | 0.67 | 0.8 | 0. | 0. | 0.52 | 0. |
time (sec) |
N/A |
0.072 |
0.045 |
0.018 |
0. |
0. |
1.965 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 131 | 193 | 0 | 0 | 102 | 0 |
normalized size | 1 | 1. | 0.51 | 0.75 | 0. | 0. | 0.4 | 0. |
time (sec) |
N/A |
0.124 |
0.103 |
0.005 |
0. |
0. |
2.157 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 13 | 16 | 28 | 80 | 16 |
normalized size | 1 | 1. | 1. | 0.93 | 1.14 | 2. | 5.71 | 1.14 |
time (sec) |
N/A |
0.006 |
0.009 |
0.043 |
1.059 |
1.387 |
7.557 |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 27 | 24 | 34 | 74 | 104 | 43 |
normalized size | 1 | 1. | 0.93 | 0.83 | 1.17 | 2.55 | 3.59 | 1.48 |
time (sec) |
N/A |
0.023 |
0.037 |
0.042 |
1.073 |
1.35 |
11.095 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 27 | 24 | 31 | 69 | 109 | 30 |
normalized size | 1 | 1. | 1.08 | 0.96 | 1.24 | 2.76 | 4.36 | 1.2 |
time (sec) |
N/A |
0.028 |
0.037 |
0.043 |
1.082 |
1.505 |
10.461 |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 35 | 59 | 93 | 133 | 42 |
normalized size | 1 | 1. | 1. | 0.92 | 1.55 | 2.45 | 3.5 | 1.11 |
time (sec) |
N/A |
0.03 |
0.042 |
0.042 |
1.078 |
1.302 |
13.776 |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 11 | 14 | 24 | 58 | 14 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 2. | 4.83 | 1.17 |
time (sec) |
N/A |
0.003 |
0.005 |
0.004 |
1.544 |
1.309 |
2.615 |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 385 | 385 | 281 | 516 | 0 | 0 | 260 | 0 |
normalized size | 1 | 1. | 0.73 | 1.34 | 0. | 0. | 0.68 | 0. |
time (sec) |
N/A |
0.424 |
0.224 |
0.017 |
0. |
0. |
5.734 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 51 | 173 | 0 | 2955 | 36 | 136 |
normalized size | 1 | 1. | 0.47 | 1.59 | 0. | 27.11 | 0.33 | 1.25 |
time (sec) |
N/A |
0.064 |
0.01 |
0.019 |
0. |
8.737 |
0.372 |
1.107 |
|
|
|
|
|
|
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|
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|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 47 | 169 | 0 | 2493 | 36 | 136 |
normalized size | 1 | 1. | 0.43 | 1.55 | 0. | 22.87 | 0.33 | 1.25 |
time (sec) |
N/A |
0.041 |
0.009 |
0.017 |
0. |
8.558 |
0.373 |
1.093 |
|
|
|
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Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 208 | 208 | 187 | 266 | 282 | 429 | 192 | 332 |
normalized size | 1 | 1. | 0.9 | 1.28 | 1.36 | 2.06 | 0.92 | 1.6 |
time (sec) |
N/A |
0.316 |
0.09 |
0.005 |
0.956 |
1.273 |
1.167 |
1.057 |
|
|
|
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|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 170 | 170 | 154 | 218 | 228 | 351 | 155 | 266 |
normalized size | 1 | 1. | 0.91 | 1.28 | 1.34 | 2.06 | 0.91 | 1.56 |
time (sec) |
N/A |
0.242 |
0.066 |
0.004 |
0.955 |
1.234 |
1.137 |
1.064 |
|
|
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Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 119 | 170 | 174 | 267 | 117 | 200 |
normalized size | 1 | 1. | 0.9 | 1.29 | 1.32 | 2.02 | 0.89 | 1.52 |
time (sec) |
N/A |
0.183 |
0.053 |
0.003 |
0.953 |
1.273 |
1.082 |
1.069 |
|
|
|
|
|
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|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 88 | 124 | 123 | 190 | 83 | 136 |
normalized size | 1 | 1. | 0.92 | 1.29 | 1.28 | 1.98 | 0.86 | 1.42 |
time (sec) |
N/A |
0.14 |
0.043 |
0.003 |
0.949 |
1.195 |
1.007 |
1.069 |
|
|
|
|
|
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|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 75 | 97 | 104 | 171 | 68 | 107 |
normalized size | 1 | 1. | 0.94 | 1.21 | 1.3 | 2.14 | 0.85 | 1.34 |
time (sec) |
N/A |
0.12 |
0.031 |
0.005 |
0.958 |
1.588 |
4.913 |
1.058 |
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 77 | 94 | 104 | 180 | 70 | 128 |
normalized size | 1 | 1. | 0.95 | 1.16 | 1.28 | 2.22 | 0.86 | 1.58 |
time (sec) |
N/A |
0.116 |
0.043 |
0.007 |
0.966 |
1.503 |
11.439 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 88 | 116 | 126 | 213 | 85 | 170 |
normalized size | 1 | 1. | 0.93 | 1.22 | 1.33 | 2.24 | 0.89 | 1.79 |
time (sec) |
N/A |
0.129 |
0.069 |
0.007 |
0.948 |
1.527 |
51.496 |
1.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 128 | 161 | 169 | 269 | 0 | 248 |
normalized size |
1 |
1. |
1. |
1.26 |
1.32 |
2.1 |
0. |
1.94 |
time (sec) |
N/A |
0.162 |
0.064 |
0.007 |
0.953 |
1.471 |
0. |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 164 | 210 | 224 | 355 | 0 | 317 |
normalized size |
1 |
1. |
1. |
1.28 |
1.37 |
2.16 |
0. |
1.93 |
time (sec) |
N/A |
0.181 |
0.062 |
0.009 |
0.955 |
1.513 |
0. |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 194 | 260 | 281 | 441 | 0 | 387 |
normalized size |
1 |
1. |
0.95 |
1.27 |
1.37 |
2.15 |
0. |
1.89 |
time (sec) |
N/A |
0.209 |
0.144 |
0.01 |
0.959 |
1.667 |
0. |
1.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 348 | 348 | 351 | 592 | 0 | 767 | 450 | 613 |
normalized size |
1 |
1. |
1.01 |
1.7 |
0. |
2.2 |
1.29 |
1.76 |
time (sec) |
N/A |
0.333 |
0.079 |
0.003 |
0. |
1.398 |
1.874 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 316 | 316 | 311 | 554 | 0 | 726 | 496 | 595 |
normalized size |
1 |
1. |
0.98 |
1.75 |
0. |
2.3 |
1.57 |
1.88 |
time (sec) |
N/A |
0.306 |
0.098 |
0.003 |
0. |
1.444 |
1.451 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 312 | 312 | 306 | 544 | 0 | 679 | 411 | 541 |
normalized size |
1 |
1. |
0.98 |
1.74 |
0. |
2.18 |
1.32 |
1.73 |
time (sec) |
N/A |
0.298 |
0.093 |
0.004 |
0. |
1.376 |
1.822 |
1.072 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 279 | 279 | 266 | 502 | 0 | 635 | 459 | 521 |
normalized size |
1 |
1. |
0.95 |
1.8 |
0. |
2.28 |
1.65 |
1.87 |
time (sec) |
N/A |
0.273 |
0.092 |
0.004 |
0. |
1.407 |
1.383 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 274 | 274 | 264 | 492 | 0 | 566 | 371 | 467 |
normalized size |
1 |
1. |
0.96 |
1.8 |
0. |
2.07 |
1.35 |
1.7 |
time (sec) |
N/A |
0.267 |
0.091 |
0.003 |
0. |
1.297 |
1.719 |
1.089 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 245 | 245 | 231 | 450 | 0 | 1289 | 422 | 466 |
normalized size |
1 |
1. |
0.94 |
1.84 |
0. |
5.26 |
1.72 |
1.9 |
time (sec) |
N/A |
0.216 |
0.16 |
0.003 |
0. |
1.519 |
1.473 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 240 | 240 | 229 | 442 | 0 | 1350 | 340 | 414 |
normalized size |
1 |
1. |
0.95 |
1.84 |
0. |
5.62 |
1.42 |
1.72 |
time (sec) |
N/A |
0.153 |
0.147 |
0.004 |
0. |
1.361 |
1.89 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 227 | 227 | 224 | 419 | 0 | 1260 | 406 | 428 |
normalized size |
1 |
1. |
0.99 |
1.85 |
0. |
5.55 |
1.79 |
1.89 |
time (sec) |
N/A |
0.193 |
0.128 |
0.004 |
0. |
1.444 |
2.515 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 224 | 224 | 218 | 414 | 0 | 1280 | 326 | 378 |
normalized size |
1 |
1. |
0.97 |
1.85 |
0. |
5.71 |
1.46 |
1.69 |
time (sec) |
N/A |
0.17 |
0.117 |
0.005 |
0. |
1.537 |
3.058 |
1.076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 227 | 227 | 220 | 412 | 0 | 1251 | 411 | 417 |
normalized size |
1 |
1. |
0.97 |
1.81 |
0. |
5.51 |
1.81 |
1.84 |
time (sec) |
N/A |
0.186 |
0.111 |
0.007 |
0. |
1.386 |
8.047 |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 220 | 410 | 0 | 1312 | 328 | 370 |
normalized size |
1 |
1. |
0.98 |
1.82 |
0. |
5.83 |
1.46 |
1.64 |
time (sec) |
N/A |
0.17 |
0.082 |
0.005 |
0. |
1.308 |
9.841 |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 242 | 242 | 231 | 440 | 0 | 1359 | 432 | 444 |
normalized size |
1 |
1. |
0.95 |
1.82 |
0. |
5.62 |
1.79 |
1.83 |
time (sec) |
N/A |
0.188 |
0.111 |
0.007 |
0. |
1.435 |
30.419 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 244 | 244 | 231 | 441 | 0 | 1353 | 348 | 401 |
normalized size |
1 |
1. |
0.95 |
1.81 |
0. |
5.55 |
1.43 |
1.64 |
time (sec) |
N/A |
0.174 |
0.112 |
0.008 |
0. |
1.378 |
52.712 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 277 | 277 | 266 | 491 | 0 | 597 | 473 | 508 |
normalized size |
1 |
1. |
0.96 |
1.77 |
0. |
2.16 |
1.71 |
1.83 |
time (sec) |
N/A |
0.222 |
0.112 |
0.009 |
0. |
1.41 |
142.622 |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 280 | 280 | 266 | 493 | 0 | 667 | 0 | 456 |
normalized size |
1 |
1. |
0.95 |
1.76 |
0. |
2.38 |
0. |
1.63 |
time (sec) |
N/A |
0.199 |
0.115 |
0.008 |
0. |
1.396 |
0. |
1.072 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 313 | 313 | 308 | 546 | 0 | 711 | 0 | 566 |
normalized size |
1 |
1. |
0.98 |
1.74 |
0. |
2.27 |
0. |
1.81 |
time (sec) |
N/A |
0.238 |
0.099 |
0.009 |
0. |
1.343 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 249 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 315 | 315 | 311 | 548 | 0 | 759 | 0 | 531 |
normalized size |
1 |
1. |
0.99 |
1.74 |
0. |
2.41 |
0. |
1.69 |
time (sec) |
N/A |
0.229 |
0.097 |
0.009 |
0. |
1.384 |
0. |
1.077 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 351 | 351 | 346 | 600 | 0 | 798 | 0 | 640 |
normalized size |
1 |
1. |
0.99 |
1.71 |
0. |
2.27 |
0. |
1.82 |
time (sec) |
N/A |
0.258 |
0.11 |
0.01 |
0. |
1.272 |
0. |
1.104 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 220 | 220 | 205 | 288 | 300 | 656 | 224 | 405 |
normalized size | 1 | 1. | 0.93 | 1.31 | 1.36 | 2.98 | 1.02 | 1.84 |
time (sec) |
N/A |
0.341 |
0.139 |
0.012 |
0.958 |
1.244 |
11.509 |
1.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 167 | 240 | 243 | 555 | 180 | 335 |
normalized size | 1 | 1. | 0.93 | 1.33 | 1.35 | 3.08 | 1. | 1.86 |
time (sec) |
N/A |
0.265 |
0.111 |
0.013 |
0.965 |
1.259 |
11.093 |
1.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 140 | 140 | 129 | 192 | 186 | 432 | 138 | 293 |
normalized size | 1 | 1. | 0.92 | 1.37 | 1.33 | 3.09 | 0.99 | 2.09 |
time (sec) |
N/A |
0.199 |
0.098 |
0.01 |
0.959 |
1.305 |
10.644 |
1.064 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 93 | 142 | 132 | 305 | 97 | 278 |
normalized size | 1 | 1. | 0.9 | 1.38 | 1.28 | 2.96 | 0.94 | 2.7 |
time (sec) |
N/A |
0.145 |
0.058 |
0.01 |
0.959 |
1.135 |
9.22 |
1.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 255 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 95 | 125 | 135 | 293 | 95 | 169 |
normalized size | 1 | 1. | 0.95 | 1.25 | 1.35 | 2.93 | 0.95 | 1.69 |
time (sec) |
N/A |
0.125 |
0.122 |
0.011 |
0.956 |
1.435 |
33.825 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 97 | 132 | 157 | 340 | 0 | 177 |
normalized size |
1 |
1. |
0.89 |
1.21 |
1.44 |
3.12 |
0. |
1.62 |
time (sec) |
N/A |
0.142 |
0.077 |
0.014 |
0.955 |
1.494 |
0. |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 118 | 167 | 186 | 431 | 0 | 271 |
normalized size |
1 |
1. |
0.91 |
1.28 |
1.43 |
3.32 |
0. |
2.08 |
time (sec) |
N/A |
0.154 |
0.115 |
0.015 |
0.979 |
1.428 |
0. |
1.07 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 175 | 160 | 229 | 244 | 549 | 0 | 371 |
normalized size |
1 |
1. |
0.91 |
1.31 |
1.39 |
3.14 |
0. |
2.12 |
time (sec) |
N/A |
0.203 |
0.105 |
0.018 |
1.049 |
1.62 |
0. |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 214 | 214 | 198 | 282 | 305 | 670 | 0 | 447 |
normalized size |
1 |
1. |
0.93 |
1.32 |
1.43 |
3.13 |
0. |
2.09 |
time (sec) |
N/A |
0.234 |
0.203 |
0.02 |
1.017 |
1.608 |
0. |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 260 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 369 | 369 | 364 | 622 | 0 | 1145 | 490 | 609 |
normalized size |
1 |
1. |
0.99 |
1.69 |
0. |
3.1 |
1.33 |
1.65 |
time (sec) |
N/A |
0.467 |
0.353 |
0.01 |
0. |
1.413 |
10.508 |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 261 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 335 | 335 | 319 | 584 | 0 | 1057 | 530 | 597 |
normalized size |
1 |
1. |
0.95 |
1.74 |
0. |
3.16 |
1.58 |
1.78 |
time (sec) |
N/A |
0.705 |
0.166 |
0.01 |
0. |
1.298 |
37.454 |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 262 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 328 | 328 | 315 | 567 | 0 | 992 | 440 | 532 |
normalized size |
1 |
1. |
0.96 |
1.73 |
0. |
3.02 |
1.34 |
1.62 |
time (sec) |
N/A |
0.369 |
0.248 |
0.01 |
0. |
1.366 |
10.915 |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 263 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 298 | 298 | 282 | 529 | 0 | 2094 | 484 | 537 |
normalized size |
1 |
1. |
0.95 |
1.78 |
0. |
7.03 |
1.62 |
1.8 |
time (sec) |
N/A |
0.463 |
0.157 |
0.009 |
0. |
1.705 |
35.782 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 288 | 288 | 277 | 514 | 0 | 2125 | 398 | 471 |
normalized size |
1 |
1. |
0.96 |
1.78 |
0. |
7.38 |
1.38 |
1.64 |
time (sec) |
N/A |
0.326 |
0.157 |
0.01 |
0. |
1.447 |
10.133 |
1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 255 | 495 | 0 | 1935 | 461 | 494 |
normalized size |
1 |
1. |
0.94 |
1.83 |
0. |
7.14 |
1.7 |
1.82 |
time (sec) |
N/A |
0.289 |
0.153 |
0.009 |
0. |
1.482 |
16.851 |
1.076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 266 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 264 | 264 | 251 | 482 | 0 | 1917 | 376 | 433 |
normalized size |
1 |
1. |
0.95 |
1.83 |
0. |
7.26 |
1.42 |
1.64 |
time (sec) |
N/A |
0.264 |
0.145 |
0.009 |
0. |
1.524 |
6.359 |
1.072 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 267 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 265 | 265 | 255 | 474 | 0 | 1877 | 457 | 477 |
normalized size |
1 |
1. |
0.96 |
1.79 |
0. |
7.08 |
1.72 |
1.8 |
time (sec) |
N/A |
0.253 |
0.153 |
0.012 |
0. |
1.48 |
26.608 |
1.076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 268 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 260 | 260 | 250 | 463 | 0 | 1952 | 381 | 417 |
normalized size |
1 |
1. |
0.96 |
1.78 |
0. |
7.51 |
1.47 |
1.6 |
time (sec) |
N/A |
0.246 |
0.152 |
0.011 |
0. |
1.463 |
58.686 |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 269 | 269 | 255 | 486 | 0 | 1968 | 473 | 483 |
normalized size |
1 |
1. |
0.95 |
1.81 |
0. |
7.32 |
1.76 |
1.8 |
time (sec) |
N/A |
0.288 |
0.168 |
0.013 |
0. |
1.525 |
138.391 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 253 | 477 | 0 | 1991 | 0 | 429 |
normalized size |
1 |
1. |
0.94 |
1.77 |
0. |
7.37 |
0. |
1.59 |
time (sec) |
N/A |
0.272 |
0.162 |
0.011 |
0. |
1.559 |
0. |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 281 | 529 | 0 | 2159 | 0 | 522 |
normalized size |
1 |
1. |
0.95 |
1.78 |
0. |
7.27 |
0. |
1.76 |
time (sec) |
N/A |
0.384 |
0.179 |
0.015 |
0. |
1.465 |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 280 | 520 | 0 | 2182 | 0 | 468 |
normalized size |
1 |
1. |
0.94 |
1.75 |
0. |
7.35 |
0. |
1.58 |
time (sec) |
N/A |
0.37 |
0.178 |
0.014 |
0. |
1.555 |
0. |
1.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 273 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 334 | 334 | 319 | 575 | 0 | 1034 | 0 | 590 |
normalized size |
1 |
1. |
0.96 |
1.72 |
0. |
3.1 |
0. |
1.77 |
time (sec) |
N/A |
0.457 |
0.181 |
0.016 |
0. |
1.372 |
0. |
1.101 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 335 | 335 | 317 | 566 | 0 | 1099 | 0 | 528 |
normalized size |
1 |
1. |
0.95 |
1.69 |
0. |
3.28 |
0. |
1.58 |
time (sec) |
N/A |
0.434 |
0.187 |
0.017 |
0. |
1.384 |
0. |
1.086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 275 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 375 | 375 | 370 | 631 | 0 | 1188 | 0 | 651 |
normalized size |
1 |
1. |
0.99 |
1.68 |
0. |
3.17 |
0. |
1.74 |
time (sec) |
N/A |
0.534 |
0.36 |
0.016 |
0. |
1.361 |
0. |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 276 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 266 | 246 | 361 | 371 | 883 | 0 | 471 |
normalized size |
1 |
1. |
0.92 |
1.36 |
1.39 |
3.32 |
0. |
1.77 |
time (sec) |
N/A |
0.436 |
0.143 |
0.015 |
0.954 |
1.234 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 277 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 226 | 226 | 208 | 313 | 315 | 765 | 0 | 402 |
normalized size |
1 |
1. |
0.92 |
1.38 |
1.39 |
3.38 |
0. |
1.78 |
time (sec) |
N/A |
0.331 |
0.12 |
0.013 |
0.963 |
1.346 |
0. |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 186 | 186 | 170 | 266 | 258 | 635 | 0 | 319 |
normalized size |
1 |
1. |
0.91 |
1.43 |
1.39 |
3.41 |
0. |
1.72 |
time (sec) |
N/A |
0.269 |
0.099 |
0.012 |
0.95 |
1.294 |
0. |
1.079 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 145 | 213 | 198 | 470 | 0 | 197 |
normalized size |
1 |
1. |
0.99 |
1.46 |
1.36 |
3.22 |
0. |
1.35 |
time (sec) |
N/A |
0.201 |
0.074 |
0.013 |
0.953 |
1.26 |
0. |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 280 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 105 | 156 | 147 | 329 | 0 | 135 |
normalized size |
1 |
1. |
0.96 |
1.43 |
1.35 |
3.02 |
0. |
1.24 |
time (sec) |
N/A |
0.152 |
0.054 |
0.01 |
0.951 |
1.165 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 104 | 147 | 174 | 374 | 0 | 173 |
normalized size |
1 |
1. |
0.91 |
1.29 |
1.53 |
3.28 |
0. |
1.52 |
time (sec) |
N/A |
0.155 |
0.106 |
0.015 |
0.953 |
1.368 |
0. |
1.07 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 282 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 134 | 134 | 121 | 163 | 194 | 497 | 0 | 234 |
normalized size |
1 |
1. |
0.9 |
1.22 |
1.45 |
3.71 |
0. |
1.75 |
time (sec) |
N/A |
0.171 |
0.091 |
0.014 |
0.962 |
1.4 |
0. |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 283 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 149 | 213 | 246 | 652 | 0 | 255 |
normalized size |
1 |
1. |
0.91 |
1.31 |
1.51 |
4. |
0. |
1.56 |
time (sec) |
N/A |
0.2 |
0.106 |
0.017 |
0.98 |
1.31 |
0. |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 218 | 218 | 200 | 293 | 313 | 837 | 0 | 437 |
normalized size |
1 |
1. |
0.92 |
1.34 |
1.44 |
3.84 |
0. |
2. |
time (sec) |
N/A |
0.264 |
0.137 |
0.02 |
0.981 |
1.443 |
0. |
1.101 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 258 | 238 | 349 | 378 | 984 | 0 | 513 |
normalized size |
1 |
1. |
0.92 |
1.35 |
1.47 |
3.81 |
0. |
1.99 |
time (sec) |
N/A |
0.304 |
0.18 |
0.019 |
0.988 |
1.64 |
0. |
1.077 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 286 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 416 | 416 | 411 | 706 | 0 | 1589 | 0 | 675 |
normalized size |
1 |
1. |
0.99 |
1.7 |
0. |
3.82 |
0. |
1.62 |
time (sec) |
N/A |
0.742 |
0.482 |
0.013 |
0. |
1.326 |
0. |
1.091 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 287 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 384 | 384 | 380 | 668 | 0 | 1496 | 0 | 663 |
normalized size |
1 |
1. |
0.99 |
1.74 |
0. |
3.9 |
0. |
1.73 |
time (sec) |
N/A |
1.05 |
0.402 |
0.013 |
0. |
1.352 |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 288 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 375 | 375 | 362 | 651 | 0 | 1424 | 0 | 598 |
normalized size |
1 |
1. |
0.97 |
1.74 |
0. |
3.8 |
0. |
1.59 |
time (sec) |
N/A |
0.606 |
0.374 |
0.012 |
0. |
1.443 |
0. |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 289 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 329 | 611 | 0 | 2915 | 0 | 601 |
normalized size |
1 |
1. |
0.95 |
1.77 |
0. |
8.45 |
0. |
1.74 |
time (sec) |
N/A |
0.763 |
0.224 |
0.013 |
0. |
1.481 |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 290 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 336 | 336 | 323 | 596 | 0 | 2986 | 0 | 539 |
normalized size |
1 |
1. |
0.96 |
1.77 |
0. |
8.89 |
0. |
1.6 |
time (sec) |
N/A |
0.509 |
0.313 |
0.012 |
0. |
1.461 |
0. |
1.108 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 316 | 316 | 300 | 574 | 0 | 2723 | 0 | 558 |
normalized size |
1 |
1. |
0.95 |
1.82 |
0. |
8.62 |
0. |
1.77 |
time (sec) |
N/A |
0.505 |
0.206 |
0.011 |
0. |
1.535 |
0. |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 292 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 307 | 307 | 294 | 561 | 0 | 2716 | 0 | 495 |
normalized size |
1 |
1. |
0.96 |
1.83 |
0. |
8.85 |
0. |
1.61 |
time (sec) |
N/A |
0.412 |
0.202 |
0.011 |
0. |
1.608 |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 301 | 301 | 284 | 550 | 0 | 2538 | 0 | 522 |
normalized size |
1 |
1. |
0.94 |
1.83 |
0. |
8.43 |
0. |
1.73 |
time (sec) |
N/A |
0.368 |
0.2 |
0.011 |
0. |
1.493 |
0. |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 292 | 292 | 279 | 539 | 0 | 2587 | 418 | 463 |
normalized size |
1 |
1. |
0.96 |
1.85 |
0. |
8.86 |
1.43 |
1.59 |
time (sec) |
N/A |
0.307 |
0.19 |
0.011 |
0. |
1.499 |
170.751 |
1.097 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 295 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 303 | 303 | 286 | 547 | 0 | 2591 | 0 | 525 |
normalized size |
1 |
1. |
0.94 |
1.81 |
0. |
8.55 |
0. |
1.73 |
time (sec) |
N/A |
0.339 |
0.223 |
0.014 |
0. |
1.505 |
0. |
1.112 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 296 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 301 | 301 | 283 | 539 | 0 | 2618 | 0 | 486 |
normalized size |
1 |
1. |
0.94 |
1.79 |
0. |
8.7 |
0. |
1.61 |
time (sec) |
N/A |
0.329 |
0.213 |
0.013 |
0. |
1.844 |
0. |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 317 | 317 | 303 | 574 | 0 | 2773 | 0 | 547 |
normalized size |
1 |
1. |
0.96 |
1.81 |
0. |
8.75 |
0. |
1.73 |
time (sec) |
N/A |
0.37 |
0.232 |
0.013 |
0. |
2.072 |
0. |
1.101 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 316 | 316 | 299 | 566 | 0 | 2785 | 0 | 491 |
normalized size |
1 |
1. |
0.95 |
1.79 |
0. |
8.81 |
0. |
1.55 |
time (sec) |
N/A |
0.368 |
0.233 |
0.017 |
0. |
1.83 |
0. |
1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 343 | 343 | 328 | 611 | 0 | 3031 | 0 | 586 |
normalized size |
1 |
1. |
0.96 |
1.78 |
0. |
8.84 |
0. |
1.71 |
time (sec) |
N/A |
0.569 |
0.238 |
0.02 |
0. |
1.761 |
0. |
1.099 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 300 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 341 | 341 | 324 | 603 | 0 | 3013 | 0 | 532 |
normalized size |
1 |
1. |
0.95 |
1.77 |
0. |
8.84 |
0. |
1.56 |
time (sec) |
N/A |
0.547 |
0.236 |
0.017 |
0. |
1.777 |
0. |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 301 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 381 | 381 | 366 | 659 | 0 | 1472 | 0 | 656 |
normalized size |
1 |
1. |
0.96 |
1.73 |
0. |
3.86 |
0. |
1.72 |
time (sec) |
N/A |
0.714 |
0.392 |
0.019 |
0. |
1.619 |
0. |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 302 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 380 | 380 | 376 | 651 | 0 | 1543 | 0 | 594 |
normalized size |
1 |
1. |
0.99 |
1.71 |
0. |
4.06 |
0. |
1.56 |
time (sec) |
N/A |
0.669 |
0.429 |
0.018 |
0. |
1.625 |
0. |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 303 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 424 | 424 | 419 | 716 | 0 | 1638 | 0 | 717 |
normalized size |
1 |
1. |
0.99 |
1.69 |
0. |
3.86 |
0. |
1.69 |
time (sec) |
N/A |
0.853 |
0.466 |
0.022 |
0. |
1.686 |
0. |
1.105 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 304 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 59 | 45 | 59 | 140 | 53 | 61 |
normalized size | 1 | 1. | 1.09 | 0.83 | 1.09 | 2.59 | 0.98 | 1.13 |
time (sec) |
N/A |
0.072 |
0.014 |
0.005 |
1.415 |
1.555 |
0.129 |
1.05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 305 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 25 | 32 | 73 | 24 | 34 |
normalized size | 1 | 1. | 1. | 0.83 | 1.07 | 2.43 | 0.8 | 1.13 |
time (sec) |
N/A |
0.04 |
0.004 |
0.004 |
1.423 |
1.515 |
0.09 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 306 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 53 | 38 | 50 | 117 | 44 | 51 |
normalized size | 1 | 1. | 1.2 | 0.86 | 1.14 | 2.66 | 1. | 1.16 |
time (sec) |
N/A |
0.06 |
0.009 |
0.003 |
1.412 |
1.499 |
0.123 |
1.061 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 307 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 50 | 35 | 46 | 112 | 42 | 47 |
normalized size | 1 | 1. | 1.22 | 0.85 | 1.12 | 2.73 | 1.02 | 1.15 |
time (sec) |
N/A |
0.042 |
0.007 |
0.004 |
1.412 |
1.546 |
0.131 |
1.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 308 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 53 | 37 | 49 | 126 | 46 | 51 |
normalized size | 1 | 1. | 1.26 | 0.88 | 1.17 | 3. | 1.1 | 1.21 |
time (sec) |
N/A |
0.049 |
0.008 |
0.006 |
1.423 |
1.493 |
0.175 |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 309 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 60 | 44 | 58 | 144 | 49 | 61 |
normalized size | 1 | 1. | 1.22 | 0.9 | 1.18 | 2.94 | 1. | 1.24 |
time (sec) |
N/A |
0.05 |
0.015 |
0.008 |
1.472 |
1.534 |
0.195 |
1.065 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 310 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 27 | 38 | 85 | 27 | 39 |
normalized size | 1 | 1. | 1. | 0.84 | 1.19 | 2.66 | 0.84 | 1.22 |
time (sec) |
N/A |
0.033 |
0.004 |
0.007 |
1.401 |
1.423 |
0.109 |
1.047 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 311 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 47 | 35 | 46 | 112 | 42 | 47 |
normalized size | 1 | 1. | 1.15 | 0.85 | 1.12 | 2.73 | 1.02 | 1.15 |
time (sec) |
N/A |
0.041 |
0.007 |
0.004 |
1.407 |
1.548 |
0.138 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 312 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 53 | 33 | 43 | 108 | 41 | 45 |
normalized size | 1 | 1. | 1.36 | 0.85 | 1.1 | 2.77 | 1.05 | 1.15 |
time (sec) |
N/A |
0.04 |
0.01 |
0.005 |
1.408 |
1.501 |
0.128 |
1.056 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 313 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 55 | 44 | 58 | 112 | 49 | 61 |
normalized size | 1 | 1. | 1. | 0.8 | 1.05 | 2.04 | 0.89 | 1.11 |
time (sec) |
N/A |
0.055 |
0.003 |
0.002 |
0.928 |
1.295 |
0.064 |
1.064 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 314 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 55 | 44 | 58 | 112 | 49 | 61 |
normalized size | 1 | 1. | 1. | 0.8 | 1.05 | 2.04 | 0.89 | 1.11 |
time (sec) |
N/A |
0.038 |
0.002 |
0.001 |
0.946 |
1.284 |
0.064 |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 315 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 50 | 41 | 54 | 104 | 46 | 57 |
normalized size | 1 | 1. | 1. | 0.82 | 1.08 | 2.08 | 0.92 | 1.14 |
time (sec) |
N/A |
0.025 |
0.002 |
0.002 |
0.95 |
1.283 |
0.065 |
1.049 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 316 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 46 | 39 | 51 | 103 | 44 | 55 |
normalized size | 1 | 1. | 1. | 0.85 | 1.11 | 2.24 | 0.96 | 1.2 |
time (sec) |
N/A |
0.025 |
0.004 |
0.003 |
0.949 |
1.491 |
0.272 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 317 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 44 | 39 | 51 | 113 | 41 | 55 |
normalized size | 1 | 1. | 1. | 0.89 | 1.16 | 2.57 | 0.93 | 1.25 |
time (sec) |
N/A |
0.035 |
0.005 |
0.004 |
0.943 |
1.439 |
0.296 |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 318 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 44 | 39 | 51 | 111 | 42 | 55 |
normalized size | 1 | 1. | 1. | 0.89 | 1.16 | 2.52 | 0.95 | 1.25 |
time (sec) |
N/A |
0.034 |
0.004 |
0.005 |
0.937 |
1.504 |
0.366 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 319 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 97 | 80 | 107 | 198 | 92 | 111 |
normalized size | 1 | 1. | 1.18 | 0.98 | 1.3 | 2.41 | 1.12 | 1.35 |
time (sec) |
N/A |
0.059 |
0.004 |
0.002 |
0.939 |
1.221 |
0.074 |
1.08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 320 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 97 | 80 | 107 | 196 | 94 | 111 |
normalized size | 1 | 1. | 1.18 | 0.98 | 1.3 | 2.39 | 1.15 | 1.35 |
time (sec) |
N/A |
0.051 |
0.003 |
0. |
0.933 |
1.316 |
0.071 |
1.06 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 321 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 77 | 77 | 92 | 77 | 103 | 185 | 88 | 107 |
normalized size | 1 | 1. | 1.19 | 1. | 1.34 | 2.4 | 1.14 | 1.39 |
time (sec) |
N/A |
0.061 |
0.003 |
0.001 |
0.939 |
1.362 |
0.098 |
1.063 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 322 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 88 | 75 | 100 | 184 | 88 | 105 |
normalized size | 1 | 1. | 1. | 0.85 | 1.14 | 2.09 | 1. | 1.19 |
time (sec) |
N/A |
0.052 |
0.008 |
0.001 |
0.949 |
1.495 |
0.353 |
1.051 |
|
|
|
|
|
|
|
|
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|
|
Problem 323 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 83 | 74 | 99 | 204 | 82 | 104 |
normalized size | 1 | 1. | 1. | 0.89 | 1.19 | 2.46 | 0.99 | 1.25 |
time (sec) |
N/A |
0.063 |
0.008 |
0.005 |
0.948 |
1.534 |
0.34 |
1.052 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 324 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 84 | 75 | 100 | 198 | 85 | 105 |
normalized size | 1 | 1. | 1. | 0.89 | 1.19 | 2.36 | 1.01 | 1.25 |
time (sec) |
N/A |
0.064 |
0.008 |
0.006 |
0.943 |
1.466 |
0.395 |
1.053 |
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 325 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 139 | 116 | 155 | 288 | 138 | 161 |
normalized size | 1 | 1. | 1.26 | 1.05 | 1.41 | 2.62 | 1.25 | 1.46 |
time (sec) |
N/A |
0.079 |
0.004 |
0.001 |
0.941 |
1.307 |
0.075 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 326 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 139 | 116 | 155 | 285 | 138 | 161 |
normalized size | 1 | 1. | 1.26 | 1.05 | 1.41 | 2.59 | 1.25 | 1.46 |
time (sec) |
N/A |
0.069 |
0.004 |
0.001 |
0.919 |
1.268 |
0.076 |
1.082 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 327 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 134 | 113 | 151 | 274 | 134 | 157 |
normalized size | 1 | 1. | 1.28 | 1.08 | 1.44 | 2.61 | 1.28 | 1.5 |
time (sec) |
N/A |
0.097 |
0.004 |
0.001 |
0.934 |
1.284 |
0.075 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 328 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 127 | 110 | 147 | 265 | 131 | 154 |
normalized size | 1 | 1. | 1. | 0.87 | 1.16 | 2.09 | 1.03 | 1.21 |
time (sec) |
N/A |
0.074 |
0.009 |
0.001 |
0.953 |
1.492 |
0.376 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 329 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 125 | 110 | 147 | 305 | 128 | 154 |
normalized size | 1 | 1. | 1. | 0.88 | 1.18 | 2.44 | 1.02 | 1.23 |
time (sec) |
N/A |
0.092 |
0.008 |
0.006 |
0.94 |
1.453 |
0.399 |
1.058 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 330 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 126 | 126 | 111 | 149 | 308 | 129 | 155 |
normalized size | 1 | 1. | 1. | 0.88 | 1.18 | 2.44 | 1.02 | 1.23 |
time (sec) |
N/A |
0.086 |
0.009 |
0.006 |
0.936 |
1.467 |
0.461 |
1.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 331 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 181 | 152 | 204 | 373 | 184 | 211 |
normalized size | 1 | 1. | 1.31 | 1.1 | 1.48 | 2.7 | 1.33 | 1.53 |
time (sec) |
N/A |
0.099 |
0.005 |
0.001 |
0.949 |
1.304 |
0.087 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 332 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 181 | 152 | 204 | 371 | 185 | 211 |
normalized size | 1 | 1. | 1.31 | 1.1 | 1.48 | 2.69 | 1.34 | 1.53 |
time (sec) |
N/A |
0.093 |
0.004 |
0.002 |
0.94 |
1.301 |
0.087 |
1.051 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 333 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 173 | 148 | 198 | 355 | 178 | 205 |
normalized size | 1 | 1. | 1.33 | 1.14 | 1.52 | 2.73 | 1.37 | 1.58 |
time (sec) |
N/A |
0.145 |
0.004 |
0.001 |
0.935 |
1.283 |
0.084 |
1.064 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 334 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 166 | 145 | 194 | 347 | 175 | 203 |
normalized size | 1 | 1. | 1. | 0.87 | 1.17 | 2.09 | 1.05 | 1.22 |
time (sec) |
N/A |
0.109 |
0.009 |
0.003 |
0.936 |
1.468 |
0.456 |
1.061 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 335 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 162 | 145 | 194 | 433 | 168 | 203 |
normalized size | 1 | 1. | 1. | 0.9 | 1.2 | 2.67 | 1.04 | 1.25 |
time (sec) |
N/A |
0.133 |
0.009 |
0.006 |
0.942 |
1.49 |
0.473 |
1.046 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 336 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 166 | 147 | 197 | 413 | 173 | 205 |
normalized size | 1 | 1. | 1. | 0.89 | 1.19 | 2.49 | 1.04 | 1.23 |
time (sec) |
N/A |
0.125 |
0.009 |
0.006 |
0.949 |
1.527 |
0.558 |
1.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 337 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 205 | 205 | 191 | 231 | 0 | 10954 | 178 | 302 |
normalized size |
1 |
1. |
0.93 |
1.13 |
0. |
53.43 |
0.87 |
1.47 |
time (sec) |
N/A |
0.261 |
0.105 |
0.003 |
0. |
9.928 |
1.597 |
1.081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 338 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 193 | 184 | 221 | 0 | 9513 | 150 | 285 |
normalized size |
1 |
1. |
0.95 |
1.15 |
0. |
49.29 |
0.78 |
1.48 |
time (sec) |
N/A |
0.248 |
0.089 |
0.003 |
0. |
9.578 |
1.501 |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 339 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 183 | 183 | 200 | 209 | 0 | 9754 | 160 | 257 |
normalized size |
1 |
1. |
1.09 |
1.14 |
0. |
53.3 |
0.87 |
1.4 |
time (sec) |
N/A |
0.226 |
0.056 |
0.003 |
0. |
9.561 |
1.653 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 340 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 177 | 177 | 176 | 200 | 0 | 10437 | 160 | 246 |
normalized size |
1 |
1. |
0.99 |
1.13 |
0. |
58.97 |
0.9 |
1.39 |
time (sec) |
N/A |
0.132 |
0.092 |
0.003 |
0. |
9.515 |
1.272 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 341 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 184 | 184 | 176 | 207 | 0 | 10657 | 0 | 267 |
normalized size |
1 |
1. |
0.96 |
1.12 |
0. |
57.92 |
0. |
1.45 |
time (sec) |
N/A |
0.206 |
0.089 |
0.005 |
0. |
10.685 |
0. |
1.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 342 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 192 | 192 | 184 | 216 | 0 | 10066 | 0 | 279 |
normalized size |
1 |
1. |
0.96 |
1.12 |
0. |
52.43 |
0. |
1.45 |
time (sec) |
N/A |
0.214 |
0.239 |
0.007 |
0. |
9.231 |
0. |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 343 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 203 | 192 | 225 | 0 | 9917 | 0 | 285 |
normalized size |
1 |
1. |
0.95 |
1.11 |
0. |
48.85 |
0. |
1.4 |
time (sec) |
N/A |
0.194 |
0.178 |
0.005 |
0. |
8.22 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 344 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 190 | 190 | 174 | 219 | 0 | 4988 | 109 | 258 |
normalized size |
1 |
1. |
0.92 |
1.15 |
0. |
26.25 |
0.57 |
1.36 |
time (sec) |
N/A |
0.166 |
0.129 |
0.009 |
0. |
6.236 |
2.422 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 345 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 200 | 200 | 186 | 228 | 0 | 5293 | 124 | 273 |
normalized size |
1 |
1. |
0.93 |
1.14 |
0. |
26.46 |
0.62 |
1.36 |
time (sec) |
N/A |
0.153 |
0.174 |
0.007 |
0. |
6.774 |
1.667 |
1.103 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 346 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 189 | 253 | 0 | 5011 | 116 | 266 |
normalized size |
1 |
1. |
0.95 |
1.27 |
0. |
25.18 |
0.58 |
1.34 |
time (sec) |
N/A |
0.132 |
0.179 |
0.002 |
0. |
6.246 |
1.284 |
1.079 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 347 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 222 | 222 | 199 | 274 | 0 | 12189 | 0 | 311 |
normalized size |
1 |
1. |
0.9 |
1.23 |
0. |
54.91 |
0. |
1.4 |
time (sec) |
N/A |
0.313 |
0.157 |
0.01 |
0. |
7.164 |
0. |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 348 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 231 | 231 | 213 | 275 | 0 | 11634 | 0 | 328 |
normalized size |
1 |
1. |
0.92 |
1.19 |
0. |
50.36 |
0. |
1.42 |
time (sec) |
N/A |
0.343 |
0.262 |
0.012 |
0. |
7.342 |
0. |
1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 349 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 242 | 242 | 221 | 276 | 0 | 12122 | 0 | 344 |
normalized size |
1 |
1. |
0.91 |
1.14 |
0. |
50.09 |
0. |
1.42 |
time (sec) |
N/A |
0.345 |
0.169 |
0.013 |
0. |
9.802 |
0. |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 350 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 262 | 262 | 225 | 289 | 0 | 12670 | 0 | 373 |
normalized size |
1 |
1. |
0.86 |
1.1 |
0. |
48.36 |
0. |
1.42 |
time (sec) |
N/A |
0.404 |
0.175 |
0.013 |
0. |
10.179 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 351 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 198 | 255 | 0 | 5122 | 148 | 288 |
normalized size |
1 |
1. |
0.92 |
1.19 |
0. |
23.82 |
0.69 |
1.34 |
time (sec) |
N/A |
0.197 |
0.179 |
0.01 |
0. |
9.744 |
5.124 |
1.113 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 352 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 239 | 239 | 214 | 256 | 0 | 5632 | 170 | 306 |
normalized size |
1 |
1. |
0.9 |
1.07 |
0. |
23.56 |
0.71 |
1.28 |
time (sec) |
N/A |
0.204 |
0.282 |
0.01 |
0. |
9.66 |
3.385 |
1.103 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 353 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 225 | 225 | 213 | 308 | 0 | 5612 | 163 | 301 |
normalized size |
1 |
1. |
0.95 |
1.37 |
0. |
24.94 |
0.72 |
1.34 |
time (sec) |
N/A |
0.188 |
0.286 |
0.003 |
0. |
8.387 |
2.117 |
1.127 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 354 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 229 | 331 | 0 | 13407 | 0 | 359 |
normalized size |
1 |
1. |
0.89 |
1.29 |
0. |
52.17 |
0. |
1.4 |
time (sec) |
N/A |
0.414 |
0.178 |
0.013 |
0. |
10.692 |
0. |
1.116 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 355 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 267 | 267 | 248 | 334 | 0 | 13300 | 0 | 377 |
normalized size |
1 |
1. |
0.93 |
1.25 |
0. |
49.81 |
0. |
1.41 |
time (sec) |
N/A |
0.462 |
0.221 |
0.017 |
0. |
10.085 |
0. |
1.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 356 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 276 | 253 | 337 | 0 | 13346 | 0 | 390 |
normalized size |
1 |
1. |
0.92 |
1.22 |
0. |
48.36 |
0. |
1.41 |
time (sec) |
N/A |
0.5 |
0.21 |
0.016 |
0. |
9.171 |
0. |
1.093 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 357 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 298 | 298 | 255 | 351 | 0 | 14256 | 0 | 421 |
normalized size |
1 |
1. |
0.86 |
1.18 |
0. |
47.84 |
0. |
1.41 |
time (sec) |
N/A |
0.589 |
0.37 |
0.017 |
0. |
12.219 |
0. |
1.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 358 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 248 | 248 | 230 | 275 | 0 | 5952 | 201 | 333 |
normalized size |
1 |
1. |
0.93 |
1.11 |
0. |
24. |
0.81 |
1.34 |
time (sec) |
N/A |
0.242 |
0.233 |
0.01 |
0. |
8.785 |
13.595 |
1.075 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 359 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 241 | 278 | 0 | 6597 | 214 | 346 |
normalized size |
1 |
1. |
0.89 |
1.03 |
0. |
24.43 |
0.79 |
1.28 |
time (sec) |
N/A |
0.254 |
0.346 |
0.012 |
0. |
8.837 |
7.049 |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 360 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 250 | 250 | 239 | 360 | 0 | 6020 | 202 | 333 |
normalized size |
1 |
1. |
0.96 |
1.44 |
0. |
24.08 |
0.81 |
1.33 |
time (sec) |
N/A |
0.222 |
0.232 |
0.004 |
0. |
6.224 |
4.049 |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 361 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 291 | 291 | 259 | 394 | 0 | 15555 | 0 | 409 |
normalized size |
1 |
1. |
0.89 |
1.35 |
0. |
53.45 |
0. |
1.41 |
time (sec) |
N/A |
0.517 |
0.228 |
0.016 |
0. |
7.407 |
0. |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 362 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 301 | 301 | 279 | 397 | 0 | 15244 | 0 | 427 |
normalized size |
1 |
1. |
0.93 |
1.32 |
0. |
50.64 |
0. |
1.42 |
time (sec) |
N/A |
0.601 |
0.292 |
0.018 |
0. |
7.531 |
0. |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 363 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 310 | 310 | 284 | 400 | 0 | 15485 | 0 | 441 |
normalized size |
1 |
1. |
0.92 |
1.29 |
0. |
49.95 |
0. |
1.42 |
time (sec) |
N/A |
0.656 |
0.286 |
0.019 |
0. |
7.404 |
0. |
1.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 364 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 340 | 340 | 284 | 415 | 0 | 15115 | 0 | 459 |
normalized size |
1 |
1. |
0.84 |
1.22 |
0. |
44.46 |
0. |
1.35 |
time (sec) |
N/A |
0.773 |
0.478 |
0.019 |
0. |
12.297 |
0. |
1.069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 365 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 57 | 29 | 35 | 80 | 54 | 36 |
normalized size | 1 | 1. | 1.97 | 1. | 1.21 | 2.76 | 1.86 | 1.24 |
time (sec) |
N/A |
0.058 |
0.014 |
0.007 |
1.419 |
0.992 |
0.287 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 366 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 57 | 29 | 35 | 80 | 54 | 36 |
normalized size | 1 | 1. | 1.97 | 1. | 1.21 | 2.76 | 1.86 | 1.24 |
time (sec) |
N/A |
0.035 |
0.005 |
0.006 |
1.423 |
1.005 |
0.286 |
1.077 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 367 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 58 | 29 | 38 | 81 | 54 | 39 |
normalized size | 1 | 1. | 1.87 | 0.94 | 1.23 | 2.61 | 1.74 | 1.26 |
time (sec) |
N/A |
0.056 |
0.013 |
0.006 |
1.432 |
1.024 |
0.287 |
1.057 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 368 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 58 | 29 | 38 | 81 | 54 | 39 |
normalized size | 1 | 1. | 1.87 | 0.94 | 1.23 | 2.61 | 1.74 | 1.26 |
time (sec) |
N/A |
0.037 |
0.006 |
0.005 |
1.417 |
0.941 |
0.289 |
1.057 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 369 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 146 | 87 | 0 | 139 | 100 | 235 |
normalized size |
1 |
1. |
2.92 |
1.74 |
0. |
2.78 |
2. |
4.7 |
time (sec) |
N/A |
0.087 |
0.041 |
0.004 |
0. |
1.082 |
0.414 |
1.111 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 370 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 149 | 135 | 0 | 142 | 110 | 223 |
normalized size |
1 |
1. |
2.81 |
2.55 |
0. |
2.68 |
2.08 |
4.21 |
time (sec) |
N/A |
0.093 |
0.069 |
0.006 |
0. |
1.101 |
0.436 |
1.094 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 371 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-2) |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 148 | 132 | 0 | 142 | 109 | 131 |
normalized size |
1 |
1. |
2.74 |
2.44 |
0. |
2.63 |
2.02 |
2.43 |
time (sec) |
N/A |
0.077 |
0.042 |
0.003 |
0. |
1.122 |
0.421 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 372 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
F(-2) |
A |
C |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 147 | 90 | 0 | 139 | 102 | 122 |
normalized size |
1 |
1. |
2.77 |
1.7 |
0. |
2.62 |
1.92 |
2.3 |
time (sec) |
N/A |
0.076 |
0.053 |
0.005 |
0. |
1.032 |
0.431 |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 373 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 97 | 80 | 107 | 239 | 90 | 117 |
normalized size | 1 | 1. | 1. | 0.82 | 1.1 | 2.46 | 0.93 | 1.21 |
time (sec) |
N/A |
0.121 |
0.028 |
0.001 |
0.954 |
0.844 |
0.071 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 374 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 97 | 80 | 107 | 234 | 90 | 117 |
normalized size | 1 | 1. | 1. | 0.82 | 1.1 | 2.41 | 0.93 | 1.21 |
time (sec) |
N/A |
0.101 |
0.028 |
0.001 |
0.936 |
0.875 |
0.072 |
1.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 375 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 97 | 80 | 107 | 231 | 90 | 117 |
normalized size | 1 | 1. | 1. | 0.82 | 1.1 | 2.38 | 0.93 | 1.21 |
time (sec) |
N/A |
0.091 |
0.024 |
0.001 |
0.941 |
0.839 |
0.071 |
1.321 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 376 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 97 | 80 | 107 | 228 | 90 | 117 |
normalized size | 1 | 1. | 1. | 0.82 | 1.1 | 2.35 | 0.93 | 1.21 |
time (sec) |
N/A |
0.08 |
0.017 |
0.002 |
0.951 |
0.893 |
0.071 |
1.054 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 377 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 92 | 77 | 103 | 217 | 87 | 113 |
normalized size | 1 | 1. | 1. | 0.84 | 1.12 | 2.36 | 0.95 | 1.23 |
time (sec) |
N/A |
0.073 |
0.013 |
0. |
0.933 |
0.847 |
0.07 |
1.067 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 378 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 88 | 81 | 100 | 192 | 85 | 112 |
normalized size | 1 | 1. | 1. | 0.92 | 1.14 | 2.18 | 0.97 | 1.27 |
time (sec) |
N/A |
0.058 |
0.029 |
0.003 |
0.944 |
0.993 |
0.34 |
1.057 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 379 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 86 | 81 | 100 | 212 | 82 | 112 |
normalized size | 1 | 1. | 1. | 0.94 | 1.16 | 2.47 | 0.95 | 1.3 |
time (sec) |
N/A |
0.066 |
0.041 |
0.004 |
0.948 |
1.02 |
0.348 |
1.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 380 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 78 | 78 | 100 | 205 | 82 | 108 |
normalized size | 1 | 1. | 0.91 | 0.91 | 1.16 | 2.38 | 0.95 | 1.26 |
time (sec) |
N/A |
0.072 |
0.06 |
0.005 |
0.94 |
1.113 |
0.456 |
1.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 381 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 76 | 76 | 101 | 205 | 82 | 107 |
normalized size | 1 | 1. | 0.88 | 0.88 | 1.17 | 2.38 | 0.95 | 1.24 |
time (sec) |
N/A |
0.071 |
0.061 |
0.006 |
0.943 |
1.246 |
0.732 |
1.052 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 382 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 77 | 76 | 101 | 197 | 82 | 104 |
normalized size | 1 | 1. | 0.9 | 0.88 | 1.17 | 2.29 | 0.95 | 1.21 |
time (sec) |
N/A |
0.073 |
0.061 |
0.005 |
1.205 |
1.235 |
2.885 |
1.076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 383 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 163 | 152 | 204 | 414 | 167 | 216 |
normalized size | 1 | 1. | 1. | 0.93 | 1.25 | 2.54 | 1.02 | 1.33 |
time (sec) |
N/A |
0.21 |
0.04 |
0.001 |
0.956 |
1.117 |
0.095 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 384 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 163 | 163 | 163 | 152 | 204 | 409 | 167 | 216 |
normalized size | 1 | 1. | 1. | 0.93 | 1.25 | 2.51 | 1.02 | 1.33 |
time (sec) |
N/A |
0.159 |
0.028 |
0.001 |
0.936 |
1.084 |
0.14 |
1.066 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 385 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 150 | 152 | 204 | 405 | 167 | 216 |
normalized size | 1 | 1. | 0.95 | 0.96 | 1.29 | 2.56 | 1.06 | 1.37 |
time (sec) |
N/A |
0.126 |
0.076 |
0.001 |
0.959 |
0.862 |
0.1 |
1.073 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 386 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 163 | 152 | 204 | 400 | 167 | 216 |
normalized size | 1 | 1. | 1.03 | 0.96 | 1.29 | 2.53 | 1.06 | 1.37 |
time (sec) |
N/A |
0.129 |
0.024 |
0.001 |
0.947 |
0.862 |
0.102 |
1.052 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 387 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 153 | 153 | 125 | 149 | 200 | 387 | 163 | 212 |
normalized size | 1 | 1. | 0.82 | 0.97 | 1.31 | 2.53 | 1.07 | 1.39 |
time (sec) |
N/A |
0.127 |
0.074 |
0.002 |
0.947 |
0.9 |
0.087 |
1.057 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 388 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 154 | 153 | 197 | 351 | 162 | 211 |
normalized size | 1 | 1. | 1.03 | 1.03 | 1.32 | 2.36 | 1.09 | 1.42 |
time (sec) |
N/A |
0.106 |
0.044 |
0.003 |
0.934 |
0.938 |
0.473 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 389 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 152 | 152 | 197 | 379 | 156 | 209 |
normalized size | 1 | 1. | 1.03 | 1.03 | 1.34 | 2.58 | 1.06 | 1.42 |
time (sec) |
N/A |
0.128 |
0.061 |
0.006 |
0.958 |
0.992 |
0.5 |
1.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 390 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 127 | 150 | 197 | 383 | 156 | 207 |
normalized size | 1 | 1. | 0.86 | 1.02 | 1.34 | 2.61 | 1.06 | 1.41 |
time (sec) |
N/A |
0.128 |
0.071 |
0.006 |
0.939 |
1. |
0.551 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 391 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 123 | 149 | 198 | 375 | 156 | 207 |
normalized size | 1 | 1. | 0.81 | 0.98 | 1.3 | 2.47 | 1.03 | 1.36 |
time (sec) |
N/A |
0.118 |
0.081 |
0.005 |
0.926 |
0.991 |
0.873 |
1.07 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 392 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 152 | 152 | 125 | 149 | 198 | 371 | 155 | 205 |
normalized size | 1 | 1. | 0.82 | 0.98 | 1.3 | 2.44 | 1.02 | 1.35 |
time (sec) |
N/A |
0.117 |
0.073 |
0.006 |
0.948 |
0.991 |
2.775 |
1.064 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 393 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 223 | 223 | 223 | 224 | 293 | 591 | 246 | 315 |
normalized size | 1 | 1. | 1. | 1. | 1.31 | 2.65 | 1.1 | 1.41 |
time (sec) |
N/A |
0.293 |
0.051 |
0.001 |
0.957 |
0.873 |
0.1 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 394 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 223 | 223 | 223 | 224 | 293 | 586 | 246 | 315 |
normalized size | 1 | 1. | 1. | 1. | 1.31 | 2.63 | 1.1 | 1.41 |
time (sec) |
N/A |
0.228 |
0.047 |
0.002 |
0.932 |
0.87 |
0.101 |
1.077 |
|
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Problem 395 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 212 | 212 | 223 | 224 | 293 | 583 | 246 | 315 |
normalized size | 1 | 1. | 1.05 | 1.06 | 1.38 | 2.75 | 1.16 | 1.49 |
time (sec) |
N/A |
0.179 |
0.048 |
0.001 |
0.943 |
0.828 |
0.099 |
1.079 |
|
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Problem 396 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 212 | 212 | 223 | 224 | 293 | 578 | 246 | 315 |
normalized size | 1 | 1. | 1.05 | 1.06 | 1.38 | 2.73 | 1.16 | 1.49 |
time (sec) |
N/A |
0.177 |
0.033 |
0. |
0.955 |
0.877 |
0.1 |
1.078 |
|
|
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Problem 397 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 207 | 207 | 170 | 221 | 289 | 564 | 243 | 311 |
normalized size | 1 | 1. | 0.82 | 1.07 | 1.4 | 2.72 | 1.17 | 1.5 |
time (sec) |
N/A |
0.177 |
0.101 |
0.001 |
0.948 |
0.833 |
0.095 |
1.065 |
|
|
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Problem 398 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 200 | 200 | 214 | 224 | 286 | 497 | 240 | 308 |
normalized size | 1 | 1. | 1.07 | 1.12 | 1.43 | 2.48 | 1.2 | 1.54 |
time (sec) |
N/A |
0.146 |
0.078 |
0.004 |
0.961 |
0.997 |
0.605 |
1.069 |
|
|
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Problem 399 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 172 | 224 | 286 | 570 | 236 | 308 |
normalized size | 1 | 1. | 0.87 | 1.13 | 1.44 | 2.88 | 1.19 | 1.56 |
time (sec) |
N/A |
0.182 |
0.137 |
0.007 |
0.946 |
1.021 |
0.633 |
1.061 |
|
|
|
|
|
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Problem 400 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 174 | 222 | 286 | 551 | 236 | 305 |
normalized size | 1 | 1. | 0.88 | 1.12 | 1.44 | 2.78 | 1.19 | 1.54 |
time (sec) |
N/A |
0.197 |
0.117 |
0.008 |
0.951 |
1.011 |
0.716 |
1.063 |
|
|
|
|
|
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Problem 401 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 172 | 220 | 286 | 551 | 235 | 304 |
normalized size | 1 | 1. | 0.82 | 1.05 | 1.37 | 2.64 | 1.12 | 1.45 |
time (sec) |
N/A |
0.18 |
0.126 |
0.006 |
0.947 |
1.006 |
1.061 |
1.062 |
|
|
|
|
|
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Problem 402 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 170 | 220 | 286 | 528 | 233 | 302 |
normalized size | 1 | 1. | 0.81 | 1.05 | 1.37 | 2.53 | 1.11 | 1.44 |
time (sec) |
N/A |
0.177 |
0.121 |
0.007 |
0.948 |
0.977 |
2.979 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 403 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 331 | 331 | 334 | 533 | 0 | 0 | 874 | 513 |
normalized size |
1 |
1. |
1.01 |
1.61 |
0. |
0. |
2.64 |
1.55 |
time (sec) |
N/A |
1.07 |
0.438 |
0.006 |
0. |
0. |
29.166 |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 404 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 313 | 313 | 299 | 505 | 0 | 0 | 842 | 477 |
normalized size |
1 |
1. |
0.96 |
1.61 |
0. |
0. |
2.69 |
1.52 |
time (sec) |
N/A |
0.988 |
0.238 |
0.005 |
0. |
0. |
29.526 |
1.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 405 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 294 | 294 | 290 | 483 | 0 | 0 | 789 | 450 |
normalized size |
1 |
1. |
0.99 |
1.64 |
0. |
0. |
2.68 |
1.53 |
time (sec) |
N/A |
0.976 |
0.262 |
0.003 |
0. |
0. |
63.182 |
1.083 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 406 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 275 | 275 | 272 | 455 | 0 | 0 | 811 | 428 |
normalized size |
1 |
1. |
0.99 |
1.65 |
0. |
0. |
2.95 |
1.56 |
time (sec) |
N/A |
0.921 |
0.373 |
0.003 |
0. |
0. |
33.016 |
1.083 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
Problem 407 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 259 | 257 | 254 | 429 | 0 | 0 | 804 | 397 |
normalized size |
1 |
0.99 |
0.98 |
1.66 |
0. |
0. |
3.1 |
1.53 |
time (sec) |
N/A |
0.373 |
0.294 |
0.003 |
0. |
0. |
28.682 |
1.08 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 408 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 258 | 256 | 258 | 426 | 0 | 0 | 0 | 409 |
normalized size |
1 |
0.99 |
1. |
1.65 |
0. |
0. |
0. |
1.59 |
time (sec) |
N/A |
0.471 |
0.212 |
0.006 |
0. |
0. |
0. |
1.063 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 409 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 253 | 253 | 257 | 423 | 0 | 0 | 0 | 404 |
normalized size |
1 |
1. |
1.02 |
1.67 |
0. |
0. |
0. |
1.6 |
time (sec) |
N/A |
0.454 |
0.28 |
0.007 |
0. |
0. |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
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|
Problem 410 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 260 | 258 | 257 | 423 | 0 | 0 | 0 | 393 |
normalized size |
1 |
0.99 |
0.99 |
1.63 |
0. |
0. |
0. |
1.51 |
time (sec) |
N/A |
0.38 |
0.321 |
0.007 |
0. |
0. |
0. |
1.082 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 411 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 274 | 264 | 442 | 0 | 0 | 0 | 423 |
normalized size |
1 |
0.99 |
0.96 |
1.6 |
0. |
0. |
0. |
1.53 |
time (sec) |
N/A |
0.436 |
0.44 |
0.006 |
0. |
0. |
0. |
1.096 |
|
|
|
|
|
|
|
|
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|
Problem 412 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 337 | 337 | 334 | 562 | 0 | 0 | 0 | 512 |
normalized size |
1 |
1. |
0.99 |
1.67 |
0. |
0. |
0. |
1.52 |
time (sec) |
N/A |
0.717 |
0.398 |
0.011 |
0. |
0. |
0. |
1.091 |
|
|
|
|
|
|
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|
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|
Problem 413 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 311 | 311 | 294 | 533 | 0 | 0 | 0 | 475 |
normalized size |
1 |
1. |
0.95 |
1.71 |
0. |
0. |
0. |
1.53 |
time (sec) |
N/A |
0.64 |
0.212 |
0.011 |
0. |
0. |
0. |
1.086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 414 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 290 | 288 | 280 | 506 | 0 | 27702 | 0 | 444 |
normalized size |
1 |
0.99 |
0.97 |
1.74 |
0. |
95.52 |
0. |
1.53 |
time (sec) |
N/A |
0.498 |
0.198 |
0.01 |
0. |
11.473 |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 415 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 289 | 289 | 285 | 502 | 0 | 27753 | 0 | 451 |
normalized size |
1 |
1. |
0.99 |
1.74 |
0. |
96.03 |
0. |
1.56 |
time (sec) |
N/A |
0.505 |
0.196 |
0.01 |
0. |
13.028 |
0. |
1.088 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 416 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 276 | 268 | 462 | 0 | 27752 | 0 | 429 |
normalized size |
1 |
1. |
0.97 |
1.67 |
0. |
100.55 |
0. |
1.55 |
time (sec) |
N/A |
0.37 |
0.176 |
0.008 |
0. |
12.37 |
0. |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 417 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 289 | 287 | 269 | 507 | 0 | 28260 | 0 | 452 |
normalized size |
1 |
0.99 |
0.93 |
1.75 |
0. |
97.79 |
0. |
1.56 |
time (sec) |
N/A |
0.559 |
0.198 |
0.012 |
0. |
156.896 |
0. |
1.086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 418 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 301 | 301 | 285 | 517 | 0 | 0 | 0 | 473 |
normalized size |
1 |
1. |
0.95 |
1.72 |
0. |
0. |
0. |
1.57 |
time (sec) |
N/A |
0.593 |
0.299 |
0.014 |
0. |
0. |
0. |
1.102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 419 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 306 | 304 | 292 | 527 | 0 | 28467 | 0 | 483 |
normalized size |
1 |
0.99 |
0.95 |
1.72 |
0. |
93.03 |
0. |
1.58 |
time (sec) |
N/A |
0.577 |
0.488 |
0.013 |
0. |
121.35 |
0. |
1.078 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 420 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 338 | 336 | 303 | 561 | 0 | 0 | 0 | 520 |
normalized size |
1 |
0.99 |
0.9 |
1.66 |
0. |
0. |
0. |
1.54 |
time (sec) |
N/A |
0.727 |
0.454 |
0.014 |
0. |
0. |
0. |
1.096 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 421 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 342 | 619 | 0 | 30286 | 0 | 541 |
normalized size |
1 |
1. |
0.99 |
1.79 |
0. |
87.79 |
0. |
1.57 |
time (sec) |
N/A |
0.891 |
0.305 |
0.011 |
0. |
34.187 |
0. |
1.084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 422 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 325 | 325 | 315 | 515 | 0 | 29083 | 0 | 512 |
normalized size |
1 |
1. |
0.97 |
1.58 |
0. |
89.49 |
0. |
1.58 |
time (sec) |
N/A |
0.642 |
0.253 |
0.012 |
0. |
28.726 |
0. |
1.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 423 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 287 | 490 | 0 | 15354 | 0 | 454 |
normalized size |
1 |
1. |
0.97 |
1.65 |
0. |
51.7 |
0. |
1.53 |
time (sec) |
N/A |
0.43 |
0.234 |
0.011 |
0. |
19.229 |
0. |
1.122 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 424 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 297 | 498 | 0 | 15553 | 0 | 481 |
normalized size |
1 |
1. |
0.92 |
1.54 |
0. |
48.15 |
0. |
1.49 |
time (sec) |
N/A |
0.482 |
0.3 |
0.011 |
0. |
22.23 |
0. |
1.091 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 425 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 313 | 313 | 295 | 506 | 0 | 15406 | 0 | 467 |
normalized size |
1 |
1. |
0.94 |
1.62 |
0. |
49.22 |
0. |
1.49 |
time (sec) |
N/A |
0.429 |
0.238 |
0.008 |
0. |
20.815 |
0. |
1.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 426 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 347 | 345 | 311 | 618 | 0 | 0 | 0 | 529 |
normalized size |
1 |
0.99 |
0.9 |
1.78 |
0. |
0. |
0. |
1.52 |
time (sec) |
N/A |
0.723 |
0.274 |
0.017 |
0. |
0. |
0. |
1.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 427 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 362 | 362 | 336 | 622 | 0 | 0 | 0 | 556 |
normalized size |
1 |
1. |
0.93 |
1.72 |
0. |
0. |
0. |
1.54 |
time (sec) |
N/A |
0.83 |
0.57 |
0.016 |
0. |
0. |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 428 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
C |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 360 | 357 | 337 | 626 | 0 | 31293 | 0 | 568 |
normalized size |
1 |
0.99 |
0.94 |
1.74 |
0. |
86.92 |
0. |
1.58 |
time (sec) |
N/A |
0.814 |
0.606 |
0.017 |
0. |
139.296 |
0. |
1.115 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 429 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 395 | 392 | 352 | 680 | 0 | 0 | 0 | 612 |
normalized size |
1 |
0.99 |
0.89 |
1.72 |
0. |
0. |
0. |
1.55 |
time (sec) |
N/A |
1.006 |
0.591 |
0.017 |
0. |
0. |
0. |
1.096 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 430 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 583 | 583 | 132 | 793 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.23 | 1.36 | 0. | 0. | 0.22 | 0. |
time (sec) |
N/A |
0.733 |
0.129 |
0.016 |
0. |
0. |
3.132 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 431 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 560 | 560 | 121 | 773 | 0 | 0 | 107 | 0 |
normalized size | 1 | 1. | 0.22 | 1.38 | 0. | 0. | 0.19 | 0. |
time (sec) |
N/A |
0.484 |
0.079 |
0.007 |
0. |
0. |
2.87 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 432 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 537 | 537 | 114 | 753 | 0 | 0 | 107 | 0 |
normalized size | 1 | 1. | 0.21 | 1.4 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.323 |
0.062 |
0.006 |
0. |
0. |
2.689 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 433 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 509 | 509 | 107 | 735 | 0 | 0 | 105 | 0 |
normalized size | 1 | 1. | 0.21 | 1.44 | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.173 |
0.046 |
0.004 |
0. |
0. |
1.981 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 434 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 518 | 518 | 128 | 740 | 0 | 0 | 105 | 0 |
normalized size | 1 | 1. | 0.25 | 1.43 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.205 |
0.141 |
0.007 |
0. |
0. |
3.335 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 435 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 547 | 547 | 126 | 759 | 0 | 0 | 107 | 0 |
normalized size | 1 | 1. | 0.23 | 1.39 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.343 |
0.124 |
0.007 |
0. |
0. |
2.948 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 436 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 569 | 569 | 131 | 778 | 0 | 0 | 112 | 0 |
normalized size | 1 | 1. | 0.23 | 1.37 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.464 |
0.194 |
0.009 |
0. |
0. |
2.966 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 437 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 594 | 594 | 134 | 836 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.23 | 1.41 | 0. | 0. | 0.22 | 0. |
time (sec) |
N/A |
0.641 |
0.111 |
0.02 |
0. |
0. |
27.031 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 438 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 574 | 574 | 127 | 817 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.22 | 1.42 | 0. | 0. | 0.22 | 0. |
time (sec) |
N/A |
0.469 |
0.103 |
0.009 |
0. |
0. |
18.138 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 439 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 542 | 542 | 118 | 800 | 0 | 0 | 129 | 0 |
normalized size | 1 | 1. | 0.22 | 1.48 | 0. | 0. | 0.24 | 0. |
time (sec) |
N/A |
0.327 |
0.095 |
0.007 |
0. |
0. |
13.504 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 440 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 522 | 522 | 107 | 779 | 0 | 0 | 109 | 0 |
normalized size | 1 | 1. | 0.2 | 1.49 | 0. | 0. | 0.21 | 0. |
time (sec) |
N/A |
0.262 |
0.088 |
0.007 |
0. |
0. |
11.561 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 441 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 561 | 561 | 108 | 782 | 0 | 0 | 109 | 0 |
normalized size | 1 | 1. | 0.19 | 1.39 | 0. | 0. | 0.19 | 0. |
time (sec) |
N/A |
0.321 |
0.064 |
0.005 |
0. |
0. |
11.124 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 442 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 532 | 532 | 109 | 785 | 0 | 0 | 107 | 0 |
normalized size | 1 | 1. | 0.2 | 1.48 | 0. | 0. | 0.2 | 0. |
time (sec) |
N/A |
0.246 |
0.047 |
0.004 |
0. |
0. |
11.264 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 443 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 579 | 579 | 119 | 810 | 0 | 0 | 265 | 0 |
normalized size | 1 | 1. | 0.21 | 1.4 | 0. | 0. | 0.46 | 0. |
time (sec) |
N/A |
0.4 |
0.103 |
0.007 |
0. |
0. |
22.444 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 444 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 607 | 607 | 121 | 825 | 0 | 0 | 267 | 0 |
normalized size | 1 | 1. | 0.2 | 1.36 | 0. | 0. | 0.44 | 0. |
time (sec) |
N/A |
0.56 |
0.098 |
0.008 |
0. |
0. |
34.63 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 445 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 733 | 733 | 172 | 1674 | 0 | 0 | 238 | 0 |
normalized size | 1 | 1. | 0.23 | 2.28 | 0. | 0. | 0.32 | 0. |
time (sec) |
N/A |
1.91 |
0.299 |
0.019 |
0. |
0. |
5.106 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 446 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 681 | 681 | 158 | 1197 | 0 | 0 | 223 | 0 |
normalized size | 1 | 1. | 0.23 | 1.76 | 0. | 0. | 0.33 | 0. |
time (sec) |
N/A |
1.422 |
0.254 |
0.008 |
0. |
0. |
4.524 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 447 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 667 | 667 | 143 | 1311 | 0 | 0 | 223 | 0 |
normalized size | 1 | 1. | 0.21 | 1.97 | 0. | 0. | 0.33 | 0. |
time (sec) |
N/A |
1.047 |
0.194 |
0.006 |
0. |
0. |
4.307 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 448 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 639 | 639 | 135 | 1557 | 0 | 0 | 194 | 0 |
normalized size | 1 | 1. | 0.21 | 2.44 | 0. | 0. | 0.3 | 0. |
time (sec) |
N/A |
0.719 |
0.148 |
0.005 |
0. |
0. |
3.902 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 449 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 620 | 620 | 185 | 1118 | 0 | 0 | 235 | 0 |
normalized size | 1 | 1. | 0.3 | 1.8 | 0. | 0. | 0.38 | 0. |
time (sec) |
N/A |
0.547 |
0.317 |
0.008 |
0. |
0. |
9.255 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 450 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 638 | 638 | 211 | 1248 | 0 | 0 | 236 | 0 |
normalized size | 1 | 1. | 0.33 | 1.96 | 0. | 0. | 0.37 | 0. |
time (sec) |
N/A |
0.65 |
0.244 |
0.009 |
0. |
0. |
5.507 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 451 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 640 | 640 | 218 | 1529 | 0 | 0 | 255 | 0 |
normalized size | 1 | 1. | 0.34 | 2.39 | 0. | 0. | 0.4 | 0. |
time (sec) |
N/A |
0.765 |
0.411 |
0.009 |
0. |
0. |
6.011 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 452 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 637 | 637 | 254 | 1114 | 0 | 0 | 265 | 0 |
normalized size | 1 | 1. | 0.4 | 1.75 | 0. | 0. | 0.42 | 0. |
time (sec) |
N/A |
0.844 |
0.387 |
0.01 |
0. |
0. |
6.899 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 453 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 694 | 694 | 253 | 1286 | 0 | 0 | 274 | 0 |
normalized size | 1 | 1. | 0.36 | 1.85 | 0. | 0. | 0.39 | 0. |
time (sec) |
N/A |
1.084 |
0.387 |
0.01 |
0. |
0. |
7.315 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 454 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 652 | 652 | 180 | 1571 | 0 | 0 | 240 | 0 |
normalized size | 1 | 1. | 0.28 | 2.41 | 0. | 0. | 0.37 | 0. |
time (sec) |
N/A |
0.787 |
0.26 |
0.009 |
0. |
0. |
6.551 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 455 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 659 | 659 | 211 | 1180 | 0 | 0 | 304 | 0 |
normalized size |
1 |
1. |
0.32 |
1.79 |
0. |
0. |
0.46 |
0. |
time (sec) |
N/A |
0.98 |
0.425 |
0.008 |
0. |
0. |
9.384 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 456 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 711 | 711 | 213 | 1376 | 0 | 0 | 308 | 0 |
normalized size | 1 | 1. | 0.3 | 1.94 | 0. | 0. | 0.43 | 0. |
time (sec) |
N/A |
1.123 |
0.452 |
0.01 |
0. |
0. |
10.029 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 457 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 743 | 743 | 192 | 1679 | 0 | 0 | 304 | 0 |
normalized size | 1 | 1. | 0.26 | 2.26 | 0. | 0. | 0.41 | 0. |
time (sec) |
N/A |
1.331 |
0.191 |
0.009 |
0. |
0. |
9.386 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 458 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 791 | 791 | 179 | 1764 | 0 | 0 | 512 | 0 |
normalized size | 1 | 1. | 0.23 | 2.23 | 0. | 0. | 0.65 | 0. |
time (sec) |
N/A |
2.111 |
0.527 |
0.017 |
0. |
0. |
10.768 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 459 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 742 | 742 | 162 | 1269 | 0 | 0 | 525 | 0 |
normalized size | 1 | 1. | 0.22 | 1.71 | 0. | 0. | 0.71 | 0. |
time (sec) |
N/A |
1.552 |
0.35 |
0.008 |
0. |
0. |
9.442 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 460 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 723 | 723 | 148 | 1383 | 0 | 0 | 525 | 0 |
normalized size | 1 | 1. | 0.2 | 1.91 | 0. | 0. | 0.73 | 0. |
time (sec) |
N/A |
1.239 |
0.272 |
0.006 |
0. |
0. |
8.804 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 461 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 694 | 694 | 139 | 1629 | 0 | 0 | 444 | 0 |
normalized size | 1 | 1. | 0.2 | 2.35 | 0. | 0. | 0.64 | 0. |
time (sec) |
N/A |
0.899 |
0.177 |
0.006 |
0. |
0. |
7.325 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 462 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 676 | 676 | 215 | 1188 | 0 | 0 | 473 | 0 |
normalized size | 1 | 1. | 0.32 | 1.76 | 0. | 0. | 0.7 | 0. |
time (sec) |
N/A |
0.707 |
0.439 |
0.009 |
0. |
0. |
21.367 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 463 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 692 | 692 | 224 | 1317 | 0 | 0 | 474 | 0 |
normalized size | 1 | 1. | 0.32 | 1.9 | 0. | 0. | 0.68 | 0. |
time (sec) |
N/A |
0.791 |
0.34 |
0.009 |
0. |
0. |
10.297 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 464 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 694 | 694 | 232 | 1613 | 0 | 0 | 462 | 0 |
normalized size | 1 | 1. | 0.33 | 2.32 | 0. | 0. | 0.67 | 0. |
time (sec) |
N/A |
0.888 |
0.356 |
0.009 |
0. |
0. |
10.501 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 465 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 692 | 692 | 243 | 1193 | 0 | 0 | 484 | 0 |
normalized size | 1 | 1. | 0.35 | 1.72 | 0. | 0. | 0.7 | 0. |
time (sec) |
N/A |
0.957 |
0.612 |
0.01 |
0. |
0. |
11.966 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 466 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 741 | 741 | 246 | 1342 | 0 | 0 | 495 | 0 |
normalized size | 1 | 1. | 0.33 | 1.81 | 0. | 0. | 0.67 | 0. |
time (sec) |
N/A |
1.24 |
0.603 |
0.01 |
0. |
0. |
12.167 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 467 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 689 | 689 | 191 | 1606 | 0 | 0 | 476 | 0 |
normalized size | 1 | 1. | 0.28 | 2.33 | 0. | 0. | 0.69 | 0. |
time (sec) |
N/A |
0.921 |
0.244 |
0.009 |
0. |
0. |
11.759 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 468 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 692 | 692 | 240 | 1196 | 0 | 0 | 524 | 0 |
normalized size |
1 |
1. |
0.35 |
1.73 |
0. |
0. |
0.76 |
0. |
time (sec) |
N/A |
1.004 |
0.507 |
0.01 |
0. |
0. |
15.539 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 469 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 746 | 746 | 240 | 1375 | 0 | 0 | 536 | 0 |
normalized size | 1 | 1. | 0.32 | 1.84 | 0. | 0. | 0.72 | 0. |
time (sec) |
N/A |
1.284 |
0.781 |
0.009 |
0. |
0. |
16.457 |
0. |
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Problem 470 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 705 | 705 | 202 | 1663 | 0 | 0 | 527 | 0 |
normalized size | 1 | 1. | 0.29 | 2.36 | 0. | 0. | 0.75 | 0. |
time (sec) |
N/A |
1.008 |
0.461 |
0.01 |
0. |
0. |
15.513 |
0. |
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Problem 471 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
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|
|
|
grade |
A |
A |
C |
B |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 714 | 714 | 226 | 1273 | 0 | 0 | 573 | 0 |
normalized size |
1 |
1. |
0.32 |
1.78 |
0. |
0. |
0.8 |
0. |
time (sec) |
N/A |
1.123 |
0.645 |
0.025 |
0. |
0. |
23.72 |
0. |
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Problem 472 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 764 | 764 | 227 | 1470 | 0 | 0 | 576 | 0 |
normalized size | 1 | 1. | 0.3 | 1.92 | 0. | 0. | 0.75 | 0. |
time (sec) |
N/A |
1.33 |
0.507 |
0.008 |
0. |
0. |
24.308 |
0. |
|
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Problem 473 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 796 | 796 | 194 | 1773 | 0 | 0 | 541 | 0 |
normalized size | 1 | 1. | 0.24 | 2.23 | 0. | 0. | 0.68 | 0. |
time (sec) |
N/A |
1.534 |
0.4 |
0.025 |
0. |
0. |
22.843 |
0. |
|
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Problem 474 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
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|
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|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 120 | 114 | 0 | 0 | 0 | 112 | 0 |
normalized size | 1 | 1.18 | 1.12 | 0. | 0. | 0. | 1.1 | 0. |
time (sec) |
N/A |
0.076 |
0.062 |
0.264 |
0. |
0. |
91.678 |
0. |
|
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Problem 475 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 125 | 116 | 0 | 0 | 0 | 114 | 0 |
normalized size | 1 | 1.17 | 1.08 | 0. | 0. | 0. | 1.07 | 0. |
time (sec) |
N/A |
0.091 |
0.062 |
0.227 |
0. |
0. |
145.318 |
0. |
|
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Problem 476 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 125 | 116 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1.17 |
1.08 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.106 |
0.076 |
0.234 |
0. |
0. |
0. |
0. |
|
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Problem 477 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 68 | 55 | 73 | 142 | 63 | 76 |
normalized size | 1 | 1. | 1. | 0.81 | 1.07 | 2.09 | 0.93 | 1.12 |
time (sec) |
N/A |
0.044 |
0.005 |
0.001 |
0.917 |
1.381 |
0.063 |
1.088 |
|
|
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Problem 478 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 73 | 58 | 77 | 155 | 66 | 80 |
normalized size | 1 | 1. | 1. | 0.79 | 1.05 | 2.12 | 0.9 | 1.1 |
time (sec) |
N/A |
0.064 |
0.003 |
0. |
0.919 |
1.433 |
0.066 |
1.058 |
|
|
|
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Problem 479 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 124 | 103 | 138 | 258 | 121 | 142 |
normalized size | 1 | 1. | 1.14 | 0.94 | 1.27 | 2.37 | 1.11 | 1.3 |
time (sec) |
N/A |
0.074 |
0.004 |
0. |
0.915 |
1.489 |
0.075 |
1.085 |
|
|
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Problem 480 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 114 | 114 | 129 | 106 | 142 | 273 | 124 | 146 |
normalized size | 1 | 1. | 1.13 | 0.93 | 1.25 | 2.39 | 1.09 | 1.28 |
time (sec) |
N/A |
0.084 |
0.004 |
0.001 |
0.917 |
1.438 |
0.079 |
1.083 |
|
|
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Problem 481 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 151 | 151 | 180 | 151 | 203 | 375 | 180 | 208 |
normalized size | 1 | 1. | 1.19 | 1. | 1.34 | 2.48 | 1.19 | 1.38 |
time (sec) |
N/A |
0.108 |
0.005 |
0. |
0.911 |
1.382 |
0.088 |
1.063 |
|
|
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Problem 482 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 156 | 156 | 185 | 154 | 207 | 390 | 184 | 212 |
normalized size | 1 | 1. | 1.19 | 0.99 | 1.33 | 2.5 | 1.18 | 1.36 |
time (sec) |
N/A |
0.113 |
0.005 |
0.001 |
0.916 |
1.441 |
0.084 |
1.078 |
|
|
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Problem 483 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 193 | 236 | 199 | 267 | 490 | 241 | 274 |
normalized size | 1 | 1. | 1.22 | 1.03 | 1.38 | 2.54 | 1.25 | 1.42 |
time (sec) |
N/A |
0.156 |
0.006 |
0.001 |
0.931 |
1.481 |
0.09 |
1.106 |
|
|
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Problem 484 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 241 | 202 | 271 | 504 | 245 | 278 |
normalized size | 1 | 1. | 1.22 | 1.02 | 1.37 | 2.55 | 1.24 | 1.4 |
time (sec) |
N/A |
0.15 |
0.006 |
0.001 |
0.92 |
1.498 |
0.095 |
1.088 |
|
|
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Problem 485 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 214 | 177 | 0 | 0 | 952 | 419 |
normalized size |
1 |
1. |
1.61 |
1.33 |
0. |
0. |
7.16 |
3.15 |
time (sec) |
N/A |
0.124 |
0.066 |
0.004 |
0. |
0. |
13.139 |
1.075 |
|
|
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Problem 486 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 221 | 208 | 0 | 0 | 887 | 443 |
normalized size |
1 |
1. |
1.36 |
1.28 |
0. |
0. |
5.48 |
2.73 |
time (sec) |
N/A |
0.203 |
0.084 |
0.004 |
0. |
0. |
12.548 |
1.076 |
|
|
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Problem 487 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 293 | 293 | 296 | 294 | 0 | 0 | 950 | 392 |
normalized size |
1 |
1. |
1.01 |
1. |
0. |
0. |
3.24 |
1.34 |
time (sec) |
N/A |
0.222 |
0.215 |
0.004 |
0. |
0. |
13.21 |
1.081 |
|
|
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Problem 488 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
B |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 321 | 321 | 311 | 325 | 0 | 0 | 886 | 416 |
normalized size |
1 |
1. |
0.97 |
1.01 |
0. |
0. |
2.76 |
1.3 |
time (sec) |
N/A |
0.334 |
0.173 |
0.004 |
0. |
0. |
12.174 |
1.101 |
|
|
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Problem 489 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 318 | 318 | 315 | 362 | 0 | 0 | 517 | 427 |
normalized size |
1 |
1. |
0.99 |
1.14 |
0. |
0. |
1.63 |
1.34 |
time (sec) |
N/A |
0.27 |
0.34 |
0.005 |
0. |
0. |
16.141 |
1.088 |
|
|
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Problem 490 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 310 | 310 | 294 | 334 | 0 | 0 | 508 | 409 |
normalized size |
1 |
1. |
0.95 |
1.08 |
0. |
0. |
1.64 |
1.32 |
time (sec) |
N/A |
0.274 |
0.269 |
0.009 |
0. |
0. |
31.183 |
1.093 |
|
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Problem 491 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 351 | 351 | 347 | 432 | 0 | 0 | 578 | 478 |
normalized size |
1 |
1. |
0.99 |
1.23 |
0. |
0. |
1.65 |
1.36 |
time (sec) |
N/A |
0.318 |
0.328 |
0.005 |
0. |
0. |
68.514 |
1.101 |
|
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Problem 492 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 340 | 340 | 329 | 373 | 0 | 0 | 0 | 456 |
normalized size |
1 |
1. |
0.97 |
1.1 |
0. |
0. |
0. |
1.34 |
time (sec) |
N/A |
0.328 |
0.35 |
0.012 |
0. |
0. |
0. |
1.096 |
|
|
|
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Problem 493 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 382 | 382 | 379 | 400 | 0 | 0 | 0 | 528 |
normalized size |
1 |
1. |
0.99 |
1.05 |
0. |
0. |
0. |
1.38 |
time (sec) |
N/A |
0.406 |
0.409 |
0.014 |
0. |
0. |
0. |
1.081 |
|
|
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|
|
|
|
|
Problem 494 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 380 | 380 | 366 | 403 | 0 | 0 | 0 | 513 |
normalized size |
1 |
1. |
0.96 |
1.06 |
0. |
0. |
0. |
1.35 |
time (sec) |
N/A |
0.402 |
0.421 |
0.012 |
0. |
0. |
0. |
1.092 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 495 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 418 | 418 | 202 | 390 | 0 | 0 | 252 | 0 |
normalized size | 1 | 1. | 0.48 | 0.93 | 0. | 0. | 0.6 | 0. |
time (sec) |
N/A |
0.381 |
0.636 |
0.032 |
0. |
0. |
7.096 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 496 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 394 | 394 | 215 | 380 | 0 | 0 | 212 | 0 |
normalized size | 1 | 1. | 0.55 | 0.96 | 0. | 0. | 0.54 | 0. |
time (sec) |
N/A |
0.334 |
0.63 |
0.008 |
0. |
0. |
6.297 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 497 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 369 | 369 | 182 | 361 | 0 | 0 | 212 | 0 |
normalized size | 1 | 1. | 0.49 | 0.98 | 0. | 0. | 0.57 | 0. |
time (sec) |
N/A |
0.298 |
0.721 |
0.01 |
0. |
0. |
6.005 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 498 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 354 | 354 | 211 | 337 | 0 | 0 | 158 | 0 |
normalized size |
1 |
1. |
0.6 |
0.95 |
0. |
0. |
0.45 |
0. |
time (sec) |
N/A |
0.273 |
0.184 |
0.013 |
0. |
0. |
4.281 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 499 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 331 | 331 | 171 | 313 | 0 | 0 | 156 | 0 |
normalized size | 1 | 1. | 0.52 | 0.95 | 0. | 0. | 0.47 | 0. |
time (sec) |
N/A |
0.194 |
0.128 |
0.007 |
0. |
0. |
4.143 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 500 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 345 | 345 | 208 | 339 | 0 | 0 | 204 | 0 |
normalized size | 1 | 1. | 0.6 | 0.98 | 0. | 0. | 0.59 | 0. |
time (sec) |
N/A |
0.255 |
0.357 |
0.015 |
0. |
0. |
8.392 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 501 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 341 | 341 | 208 | 339 | 0 | 0 | 206 | 0 |
normalized size | 1 | 1. | 0.61 | 0.99 | 0. | 0. | 0.6 | 0. |
time (sec) |
N/A |
0.263 |
0.391 |
0.012 |
0. |
0. |
5.704 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 502 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 342 | 342 | 204 | 360 | 0 | 0 | 230 | 0 |
normalized size | 1 | 1. | 0.6 | 1.05 | 0. | 0. | 0.67 | 0. |
time (sec) |
N/A |
0.262 |
0.233 |
0.016 |
0. |
0. |
5.271 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 503 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 357 | 357 | 205 | 362 | 0 | 0 | 235 | 0 |
normalized size | 1 | 1. | 0.57 | 1.01 | 0. | 0. | 0.66 | 0. |
time (sec) |
N/A |
0.295 |
0.301 |
0.013 |
0. |
0. |
5.414 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 504 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 329 | 329 | 175 | 385 | 0 | 0 | 211 | 0 |
normalized size |
1 |
1. |
0.53 |
1.17 |
0. |
0. |
0.64 |
0. |
time (sec) |
N/A |
0.281 |
0.234 |
0.016 |
0. |
0. |
5.735 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 505 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 360 | 360 | 179 | 404 | 0 | 0 | 216 | 0 |
normalized size | 1 | 1. | 0.5 | 1.12 | 0. | 0. | 0.6 | 0. |
time (sec) |
N/A |
0.324 |
0.234 |
0.015 |
0. |
0. |
6.044 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 506 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 352 | 352 | 145 | 361 | 0 | 0 | 189 | 0 |
normalized size | 1 | 1. | 0.41 | 1.03 | 0. | 0. | 0.54 | 0. |
time (sec) |
N/A |
0.316 |
0.243 |
0.017 |
0. |
0. |
5.702 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 507 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 375 | 375 | 145 | 385 | 0 | 0 | 192 | 0 |
normalized size | 1 | 1. | 0.39 | 1.03 | 0. | 0. | 0.51 | 0. |
time (sec) |
N/A |
0.362 |
0.24 |
0.018 |
0. |
0. |
6.313 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 508 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 400 | 400 | 146 | 408 | 0 | 0 | 246 | 0 |
normalized size |
1 |
1. |
0.36 |
1.02 |
0. |
0. |
0.62 |
0. |
time (sec) |
N/A |
0.386 |
0.165 |
0.019 |
0. |
0. |
7.904 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 509 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 425 | 425 | 148 | 429 | 0 | 0 | 246 | 0 |
normalized size | 1 | 1. | 0.35 | 1.01 | 0. | 0. | 0.58 | 0. |
time (sec) |
N/A |
0.433 |
0.167 |
0.018 |
0. |
0. |
8.464 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 510 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 476 | 476 | 225 | 462 | 0 | 0 | 462 | 0 |
normalized size | 1 | 1. | 0.47 | 0.97 | 0. | 0. | 0.97 | 0. |
time (sec) |
N/A |
0.44 |
0.865 |
0.039 |
0. |
0. |
18.042 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 511 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 452 | 452 | 238 | 434 | 0 | 0 | 398 | 0 |
normalized size | 1 | 1. | 0.53 | 0.96 | 0. | 0. | 0.88 | 0. |
time (sec) |
N/A |
0.408 |
0.747 |
0.007 |
0. |
0. |
15.031 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 512 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 427 | 427 | 205 | 413 | 0 | 0 | 398 | 0 |
normalized size | 1 | 1. | 0.48 | 0.97 | 0. | 0. | 0.93 | 0. |
time (sec) |
N/A |
0.353 |
0.863 |
0.01 |
0. |
0. |
14.209 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 513 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 409 | 409 | 196 | 392 | 0 | 0 | 396 | 0 |
normalized size |
1 |
1. |
0.48 |
0.96 |
0. |
0. |
0.97 |
0. |
time (sec) |
N/A |
0.324 |
0.701 |
0.015 |
0. |
0. |
10.174 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 514 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 382 | 382 | 175 | 368 | 0 | 0 | 394 | 0 |
normalized size | 1 | 1. | 0.46 | 0.96 | 0. | 0. | 1.03 | 0. |
time (sec) |
N/A |
0.255 |
0.553 |
0.006 |
0. |
0. |
9.642 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 515 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 403 | 403 | 224 | 411 | 0 | 0 | 405 | 0 |
normalized size | 1 | 1. | 0.56 | 1.02 | 0. | 0. | 1. | 0. |
time (sec) |
N/A |
0.353 |
0.512 |
0.019 |
0. |
0. |
26.863 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 516 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 404 | 404 | 222 | 411 | 0 | 0 | 406 | 0 |
normalized size | 1 | 1. | 0.55 | 1.02 | 0. | 0. | 1. | 0. |
time (sec) |
N/A |
0.348 |
0.523 |
0.013 |
0. |
0. |
11.26 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 517 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 406 | 406 | 194 | 409 | 0 | 0 | 377 | 0 |
normalized size | 1 | 1. | 0.48 | 1.01 | 0. | 0. | 0.93 | 0. |
time (sec) |
N/A |
0.343 |
0.362 |
0.02 |
0. |
0. |
9.062 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 518 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 408 | 408 | 194 | 408 | 0 | 0 | 381 | 0 |
normalized size | 1 | 1. | 0.48 | 1. | 0. | 0. | 0.93 | 0. |
time (sec) |
N/A |
0.336 |
0.358 |
0.014 |
0. |
0. |
9.128 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 519 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 386 | 386 | 163 | 409 | 0 | 0 | 379 | 0 |
normalized size |
1 |
1. |
0.42 |
1.06 |
0. |
0. |
0.98 |
0. |
time (sec) |
N/A |
0.347 |
0.219 |
0.021 |
0. |
0. |
10.707 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 520 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 387 | 387 | 165 | 409 | 0 | 0 | 386 | 0 |
normalized size | 1 | 1. | 0.43 | 1.06 | 0. | 0. | 1. | 0. |
time (sec) |
N/A |
0.349 |
0.223 |
0.015 |
0. |
0. |
11.021 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 521 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 392 | 392 | 163 | 408 | 0 | 0 | 406 | 0 |
normalized size |
1 |
1. |
0.42 |
1.04 |
0. |
0. |
1.04 |
0. |
time (sec) |
N/A |
0.342 |
0.202 |
0.02 |
0. |
0. |
9.893 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 522 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 412 | 412 | 164 | 411 | 0 | 0 | 415 | 0 |
normalized size | 1 | 1. | 0.4 | 1. | 0. | 0. | 1.01 | 0. |
time (sec) |
N/A |
0.394 |
0.221 |
0.015 |
0. |
0. |
11.456 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 523 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 377 | 377 | 174 | 416 | 0 | 0 | 444 | 0 |
normalized size |
1 |
1. |
0.46 |
1.1 |
0. |
0. |
1.18 |
0. |
time (sec) |
N/A |
0.371 |
0.294 |
0.023 |
0. |
0. |
12.967 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 524 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 405 | 405 | 174 | 437 | 0 | 0 | 449 | 0 |
normalized size | 1 | 1. | 0.43 | 1.08 | 0. | 0. | 1.11 | 0. |
time (sec) |
N/A |
0.425 |
0.314 |
0.018 |
0. |
0. |
13.571 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 525 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 399 | 399 | 171 | 417 | 0 | 0 | 398 | 0 |
normalized size | 1 | 1. | 0.43 | 1.05 | 0. | 0. | 1. | 0. |
time (sec) |
N/A |
0.42 |
0.326 |
0.019 |
0. |
0. |
15.602 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 526 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 424 | 424 | 172 | 441 | 0 | 0 | 401 | 0 |
normalized size | 1 | 1. | 0.41 | 1.04 | 0. | 0. | 0.95 | 0. |
time (sec) |
N/A |
0.462 |
0.381 |
0.02 |
0. |
0. |
15.493 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 527 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 449 | 449 | 149 | 462 | 0 | 0 | 403 | 0 |
normalized size |
1 |
1. |
0.33 |
1.03 |
0. |
0. |
0.9 |
0. |
time (sec) |
N/A |
0.49 |
0.191 |
0.023 |
0. |
0. |
20.177 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 528 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 474 | 474 | 151 | 483 | 0 | 0 | 403 | 0 |
normalized size | 1 | 1. | 0.32 | 1.02 | 0. | 0. | 0.85 | 0. |
time (sec) |
N/A |
0.549 |
0.184 |
0.02 |
0. |
0. |
21.79 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 529 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 361 | 361 | 212 | 335 | 0 | 0 | 177 | 0 |
normalized size | 1 | 1. | 0.59 | 0.93 | 0. | 0. | 0.49 | 0. |
time (sec) |
N/A |
0.3 |
0.131 |
0.018 |
0. |
0. |
6.138 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 530 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 336 | 336 | 212 | 325 | 0 | 0 | 156 | 0 |
normalized size | 1 | 1. | 0.63 | 0.97 | 0. | 0. | 0.46 | 0. |
time (sec) |
N/A |
0.265 |
0.145 |
0.007 |
0. |
0. |
5.023 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 531 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 308 | 308 | 193 | 248 | 0 | 0 | 156 | 0 |
normalized size | 1 | 1. | 0.63 | 0.81 | 0. | 0. | 0.51 | 0. |
time (sec) |
N/A |
0.222 |
0.169 |
0.006 |
0. |
0. |
4.724 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 532 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 299 | 299 | 160 | 229 | 0 | 0 | 129 | 0 |
normalized size |
1 |
1. |
0.54 |
0.77 |
0. |
0. |
0.43 |
0. |
time (sec) |
N/A |
0.198 |
0.095 |
0.005 |
0. |
0. |
3.56 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 533 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 276 | 276 | 150 | 208 | 0 | 0 | 128 | 0 |
normalized size | 1 | 1. | 0.54 | 0.75 | 0. | 0. | 0.46 | 0. |
time (sec) |
N/A |
0.142 |
0.094 |
0.004 |
0. |
0. |
2.627 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 534 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 285 | 285 | 159 | 222 | 0 | 0 | 126 | 0 |
normalized size | 1 | 1. | 0.56 | 0.78 | 0. | 0. | 0.44 | 0. |
time (sec) |
N/A |
0.18 |
0.227 |
0.013 |
0. |
0. |
4.07 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 535 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 309 | 309 | 157 | 299 | 0 | 0 | 128 | 0 |
normalized size | 1 | 1. | 0.51 | 0.97 | 0. | 0. | 0.41 | 0. |
time (sec) |
N/A |
0.224 |
0.227 |
0.009 |
0. |
0. |
3.31 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 536 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 300 | 300 | 148 | 293 | 0 | 0 | 126 | 0 |
normalized size | 1 | 1. | 0.49 | 0.98 | 0. | 0. | 0.42 | 0. |
time (sec) |
N/A |
0.216 |
0.14 |
0.015 |
0. |
0. |
3.096 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 537 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 149 | 316 | 0 | 0 | 131 | 0 |
normalized size | 1 | 1. | 0.46 | 0.98 | 0. | 0. | 0.41 | 0. |
time (sec) |
N/A |
0.258 |
0.158 |
0.01 |
0. |
0. |
3.441 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 538 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 346 | 346 | 147 | 335 | 0 | 0 | 158 | 0 |
normalized size |
1 |
1. |
0.42 |
0.97 |
0. |
0. |
0.46 |
0. |
time (sec) |
N/A |
0.281 |
0.147 |
0.017 |
0. |
0. |
4.537 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 539 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 377 | 377 | 134 | 354 | 0 | 0 | 163 | 0 |
normalized size | 1 | 1. | 0.36 | 0.94 | 0. | 0. | 0.43 | 0. |
time (sec) |
N/A |
0.327 |
0.208 |
0.01 |
0. |
0. |
4.883 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 540 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 365 | 365 | 220 | 378 | 0 | 0 | 202 | 0 |
normalized size | 1 | 1. | 0.6 | 1.04 | 0. | 0. | 0.55 | 0. |
time (sec) |
N/A |
0.523 |
0.173 |
0.027 |
0. |
0. |
34.669 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 541 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 343 | 343 | 176 | 358 | 0 | 0 | 172 | 0 |
normalized size |
1 |
1. |
0.51 |
1.04 |
0. |
0. |
0.5 |
0. |
time (sec) |
N/A |
0.367 |
0.152 |
0.016 |
0. |
0. |
25.754 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 542 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 314 | 314 | 166 | 340 | 0 | 0 | 172 | 0 |
normalized size | 1 | 1. | 0.53 | 1.08 | 0. | 0. | 0.55 | 0. |
time (sec) |
N/A |
0.268 |
0.146 |
0.008 |
0. |
0. |
19.986 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 543 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 181 | 331 | 0 | 0 | 156 | 0 |
normalized size | 1 | 1. | 0.61 | 1.11 | 0. | 0. | 0.53 | 0. |
time (sec) |
N/A |
0.2 |
0.129 |
0.007 |
0. |
0. |
17.232 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 544 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 333 | 333 | 165 | 331 | 0 | 0 | 156 | 0 |
normalized size | 1 | 1. | 0.5 | 0.99 | 0. | 0. | 0.47 | 0. |
time (sec) |
N/A |
0.251 |
0.196 |
0.009 |
0. |
0. |
15.565 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 545 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 303 | 303 | 116 | 250 | 0 | 0 | 133 | 0 |
normalized size | 1 | 1. | 0.38 | 0.83 | 0. | 0. | 0.44 | 0. |
time (sec) |
N/A |
0.193 |
0.077 |
0.011 |
0. |
0. |
14.639 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 546 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 275 | 275 | 116 | 250 | 0 | 0 | 131 | 0 |
normalized size | 1 | 1. | 0.42 | 0.91 | 0. | 0. | 0.48 | 0. |
time (sec) |
N/A |
0.117 |
0.054 |
0.006 |
0. |
0. |
13.983 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 547 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 125 | 336 | 0 | 0 | 289 | 0 |
normalized size | 1 | 1. | 0.39 | 1.04 | 0. | 0. | 0.89 | 0. |
time (sec) |
N/A |
0.292 |
0.127 |
0.017 |
0. |
0. |
24.447 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 548 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 344 | 344 | 123 | 355 | 0 | 0 | 291 | 0 |
normalized size | 1 | 1. | 0.36 | 1.03 | 0. | 0. | 0.85 | 0. |
time (sec) |
N/A |
0.383 |
0.114 |
0.01 |
0. |
0. |
34.144 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 549 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 367 | 367 | 140 | 363 | 0 | 0 | 316 | 0 |
normalized size | 1 | 1. | 0.38 | 0.99 | 0. | 0. | 0.86 | 0. |
time (sec) |
N/A |
0.478 |
0.106 |
0.016 |
0. |
0. |
42.437 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 550 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 387 | 387 | 136 | 383 | 0 | 0 | 321 | 0 |
normalized size | 1 | 1. | 0.35 | 0.99 | 0. | 0. | 0.83 | 0. |
time (sec) |
N/A |
0.606 |
0.119 |
0.011 |
0. |
0. |
41.397 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 551 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 269 | 269 | 174 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.256 |
0.214 |
0.314 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 552 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 170 | 147 | 0 | 0 | 0 | 141 | 0 |
normalized size | 1 | 1.19 | 1.03 | 0. | 0. | 0. | 0.99 | 0. |
time (sec) |
N/A |
0.131 |
0.111 |
0.25 |
0. |
0. |
70.572 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 553 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-2) |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 175 | 145 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.182 |
0.115 |
0.222 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 554 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 18 | 5 | 9 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 2.25 | 0.62 | 1.12 |
time (sec) |
N/A |
0.01 |
0.001 |
0. |
0.916 |
1.346 |
0.06 |
1.054 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 555 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 11 | 24 | 7 | 12 |
normalized size | 1 | 1. | 1. | 0.9 | 1.1 | 2.4 | 0.7 | 1.2 |
time (sec) |
N/A |
0.015 |
0.001 |
0.001 |
0.928 |
1.346 |
0.07 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 556 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 9 | 11 | 26 | 8 | 12 |
normalized size | 1 | 1. | 1. | 0.9 | 1.1 | 2.6 | 0.8 | 1.2 |
time (sec) |
N/A |
0.013 |
0.001 |
0.001 |
0.921 |
1.359 |
0.068 |
1.052 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 557 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 21 | 18 | 23 | 53 | 15 | 20 |
normalized size | 1 | 1. | 2.1 | 1.8 | 2.3 | 5.3 | 1.5 | 2. |
time (sec) |
N/A |
0.01 |
0.003 |
0.006 |
0.895 |
1.353 |
0.093 |
1.048 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 558 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 17 | 22 | 58 | 24 | 22 |
normalized size | 1 | 1. | 1. | 0.71 | 0.92 | 2.42 | 1. | 0.92 |
time (sec) |
N/A |
0.024 |
0.006 |
0.003 |
1.372 |
1.355 |
0.114 |
1.052 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 559 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 50 | 39 | 51 | 128 | 46 | 53 |
normalized size | 1 | 1. | 1. | 0.78 | 1.02 | 2.56 | 0.92 | 1.06 |
time (sec) |
N/A |
0.049 |
0.017 |
0.007 |
1.388 |
1.433 |
0.162 |
1.083 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 560 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 46 | 39 | 51 | 128 | 46 | 53 |
normalized size | 1 | 1. | 0.92 | 0.78 | 1.02 | 2.56 | 0.92 | 1.06 |
time (sec) |
N/A |
0.048 |
0.013 |
0.007 |
1.387 |
1.405 |
0.165 |
1.049 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 561 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 56 | 47 | 62 | 157 | 56 | 65 |
normalized size | 1 | 1. | 0.93 | 0.78 | 1.03 | 2.62 | 0.93 | 1.08 |
time (sec) |
N/A |
0.051 |
0.013 |
0.007 |
1.374 |
1.435 |
0.181 |
1.046 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 562 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 52 | 47 | 62 | 157 | 56 | 65 |
normalized size | 1 | 1. | 0.87 | 0.78 | 1.03 | 2.62 | 0.93 | 1.08 |
time (sec) |
N/A |
0.049 |
0.011 |
0.006 |
1.384 |
1.434 |
0.18 |
1.072 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 563 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 50 | 39 | 51 | 126 | 48 | 47 |
normalized size | 1 | 1. | 1. | 0.78 | 1.02 | 2.52 | 0.96 | 0.94 |
time (sec) |
N/A |
0.026 |
0.006 |
0.005 |
1.373 |
1.375 |
0.138 |
1.044 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 564 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 50 | 39 | 51 | 124 | 48 | 53 |
normalized size | 1 | 1. | 1. | 0.78 | 1.02 | 2.48 | 0.96 | 1.06 |
time (sec) |
N/A |
0.043 |
0.01 |
0.004 |
1.367 |
1.415 |
0.146 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 565 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 100 | 85 | 113 | 342 | 105 | 116 |
normalized size | 1 | 1. | 0.91 | 0.77 | 1.03 | 3.11 | 0.95 | 1.05 |
time (sec) |
N/A |
0.118 |
0.087 |
0.01 |
1.405 |
1.497 |
0.359 |
1.072 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 566 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 97 | 85 | 113 | 342 | 105 | 116 |
normalized size | 1 | 1. | 0.88 | 0.77 | 1.03 | 3.11 | 0.95 | 1.05 |
time (sec) |
N/A |
0.117 |
0.077 |
0.009 |
1.381 |
1.438 |
0.351 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 567 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 122 | 68 | 82 | 259 | 70 | 85 |
normalized size | 1 | 1. | 1.51 | 0.84 | 1.01 | 3.2 | 0.86 | 1.05 |
time (sec) |
N/A |
0.069 |
0.431 |
0.01 |
1.375 |
1.527 |
0.201 |
1.061 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 568 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 84 | 73 | 100 | 338 | 82 | 103 |
normalized size | 1 | 1. | 0.91 | 0.79 | 1.09 | 3.67 | 0.89 | 1.12 |
time (sec) |
N/A |
0.116 |
0.03 |
0.01 |
1.386 |
1.654 |
0.285 |
1.056 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 569 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 119 | 115 | 142 | 736 | 124 | 150 |
normalized size | 1 | 1. | 0.8 | 0.78 | 0.96 | 4.97 | 0.84 | 1.01 |
time (sec) |
N/A |
0.172 |
0.057 |
0.016 |
1.374 |
1.683 |
0.503 |
1.07 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 570 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 121 | 115 | 142 | 736 | 124 | 150 |
normalized size | 1 | 1. | 0.83 | 0.79 | 0.97 | 5.04 | 0.85 | 1.03 |
time (sec) |
N/A |
0.173 |
0.082 |
0.013 |
1.381 |
1.506 |
0.501 |
1.062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 571 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 111 | 111 | 128 | 539 | 116 | 143 |
normalized size | 1 | 1. | 0.78 | 0.78 | 0.9 | 3.8 | 0.82 | 1.01 |
time (sec) |
N/A |
0.148 |
0.063 |
0.013 |
1.376 |
1.462 |
0.475 |
1.065 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 572 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 142 | 142 | 111 | 111 | 128 | 539 | 116 | 143 |
normalized size | 1 | 1. | 0.78 | 0.78 | 0.9 | 3.8 | 0.82 | 1.01 |
time (sec) |
N/A |
0.145 |
0.062 |
0.013 |
1.377 |
1.461 |
0.469 |
1.06 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 573 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 103 | 102 | 117 | 377 | 110 | 120 |
normalized size | 1 | 1. | 0.91 | 0.9 | 1.04 | 3.34 | 0.97 | 1.06 |
time (sec) |
N/A |
0.082 |
0.05 |
0.013 |
1.381 |
1.427 |
0.384 |
1.059 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 574 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 111 | 102 | 128 | 531 | 119 | 134 |
normalized size | 1 | 1. | 0.85 | 0.78 | 0.98 | 4.05 | 0.91 | 1.02 |
time (sec) |
N/A |
0.148 |
0.064 |
0.013 |
1.395 |
1.443 |
0.468 |
1.05 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 575 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 99 | 99 | 91 | 76 | 101 | 257 | 102 | 93 |
normalized size | 1 | 1. | 0.92 | 0.77 | 1.02 | 2.6 | 1.03 | 0.94 |
time (sec) |
N/A |
0.063 |
0.014 |
0.007 |
1.375 |
1.444 |
0.328 |
1.063 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 576 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 130 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.8 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.167 |
0.341 |
0.384 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 577 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 108 | 130 | 0 | 660 | 1251 | 529 |
normalized size |
1 |
1. |
1.29 |
1.55 |
0. |
7.86 |
14.89 |
6.3 |
time (sec) |
N/A |
0.056 |
0.163 |
0.015 |
0. |
1.545 |
6.769 |
1.069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 578 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 120 | 87 | 0 | 347 | 552 | 265 |
normalized size |
1 |
1. |
1.97 |
1.43 |
0. |
5.69 |
9.05 |
4.34 |
time (sec) |
N/A |
0.04 |
0.112 |
0.012 |
0. |
1.537 |
3.252 |
1.074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 579 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 42 | 45 | 0 | 128 | 163 | 88 |
normalized size |
1 |
1. |
1.02 |
1.1 |
0. |
3.12 |
3.98 |
2.15 |
time (sec) |
N/A |
0.023 |
0.096 |
0.011 |
0. |
1.485 |
1.509 |
1.056 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 580 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 0 | 36 | 15 | 16 |
normalized size |
1 |
1. |
1. |
1.08 |
0. |
3. |
1.25 |
1.33 |
time (sec) |
N/A |
0.003 |
0.001 |
0.041 |
0. |
1.501 |
0.058 |
1.041 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 581 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 42 | 0 | 0 | 0 | 65 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 1.55 | 0. |
time (sec) |
N/A |
0.03 |
0.056 |
0.339 |
0. |
0. |
9.521 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 582 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 44 | 0 | 0 | 0 | 313 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 7.11 | 0. |
time (sec) |
N/A |
0.029 |
0.075 |
0.36 |
0. |
0. |
22.753 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 583 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 63 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.37 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.03 |
0.074 |
0.355 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 584 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 305 | 305 | 206 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.232 |
0.374 |
0.464 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 585 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 45 | 0 | 0 | 153 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0. |
0. |
3.4 |
0. |
0. |
time (sec) |
N/A |
0.395 |
0.215 |
0.487 |
0. |
1.895 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 586 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 273 | 273 | 178 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.185 |
0.243 |
0.437 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 587 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 297 | 297 | 204 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.208 |
0.273 |
0.385 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 588 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 162 | 162 | 147 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.124 |
0.338 |
0.432 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 589 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 21 | 27 | 47 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 1.12 | 1.96 | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.148 |
0.009 |
1.105 |
1.618 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 590 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 93 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.103 |
0.168 |
0.387 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 591 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 0 | 0 | 128 | 0 | 308 |
normalized size |
1 |
1. |
1. |
0. |
0. |
4.57 |
0. |
11. |
time (sec) |
N/A |
0.101 |
0.307 |
0.817 |
0. |
2.001 |
0. |
1.119 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 592 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 46 | 138 | 104 | 312 | 0 | 320 |
normalized size |
1 |
1. |
1.02 |
3.07 |
2.31 |
6.93 |
0. |
7.11 |
time (sec) |
N/A |
0.157 |
0.355 |
0.51 |
1.365 |
2.007 |
0. |
1.146 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 593 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 52 | 80 | 115 | 0 | 155 |
normalized size |
1 |
1. |
1. |
1.68 |
2.58 |
3.71 |
0. |
5. |
time (sec) |
N/A |
0.205 |
0.524 |
0.153 |
1.257 |
1.798 |
0. |
1.171 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 594 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
B |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 41 | 136 | 124 | 223 | 0 | 209 |
normalized size |
1 |
1. |
0.91 |
3.02 |
2.76 |
4.96 |
0. |
4.64 |
time (sec) |
N/A |
0.553 |
0.767 |
0.429 |
1.367 |
1.734 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
|
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 [124] had the largest ratio of [ 0.6923
]
|
|
|
|
|
|
|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
2 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
2 |
A |
2 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
3 |
A |
2 |
1 |
1. |
22 |
0.045 |
|
|
|
|
|
|
|
4 |
A |
2 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
5 |
A |
2 |
1 |
1. |
27 |
0.037 |
|
|
|
|
|
|
|
6 |
A |
2 |
1 |
1. |
27 |
0.037 |
|
|
|
|
|
|
|
7 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
8 |
A |
7 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
9 |
A |
8 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
10 |
A |
9 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
11 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
12 |
A |
6 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
13 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
14 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
15 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
16 |
A |
3 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
17 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
18 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
19 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
20 |
A |
3 |
3 |
1. |
31 |
0.097 |
|
|
|
|
|
|
|
|
21 |
A |
3 |
3 |
1. |
36 |
0.083 |
|
|
|
|
|
|
|
22 |
A |
12 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
23 |
A |
11 |
9 |
1. |
33 |
0.273 |
|
|
|
|
|
|
|
24 |
A |
10 |
8 |
1. |
36 |
0.222 |
|
|
|
|
|
|
|
25 |
A |
10 |
10 |
1. |
19 |
0.526 |
|
|
|
|
|
|
|
26 |
A |
9 |
9 |
1. |
18 |
0.5 |
|
|
|
|
|
|
|
27 |
A |
4 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
28 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
29 |
A |
4 |
4 |
1. |
24 |
0.167 |
|
|
|
|
|
|
|
30 |
A |
4 |
4 |
1. |
24 |
0.167 |
|
|
|
|
|
|
|
31 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
32 |
A |
4 |
4 |
1. |
26 |
0.154 |
|
|
|
|
|
|
|
33 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
34 |
A |
4 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
35 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
36 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
37 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
38 |
A |
4 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
39 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
40 |
A |
4 |
4 |
1. |
49 |
0.082 |
|
|
|
|
|
|
|
|
41 |
A |
4 |
4 |
1. |
57 |
0.07 |
|
|
|
|
|
|
|
42 |
A |
2 |
2 |
1. |
31 |
0.065 |
|
|
|
|
|
|
|
43 |
A |
2 |
2 |
1. |
42 |
0.048 |
|
|
|
|
|
|
|
44 |
A |
4 |
4 |
1. |
42 |
0.095 |
|
|
|
|
|
|
|
45 |
A |
4 |
4 |
1. |
45 |
0.089 |
|
|
|
|
|
|
|
46 |
A |
4 |
4 |
1. |
45 |
0.089 |
|
|
|
|
|
|
|
47 |
A |
4 |
4 |
1. |
44 |
0.091 |
|
|
|
|
|
|
|
48 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
49 |
A |
6 |
6 |
1. |
20 |
0.3 |
|
|
|
|
|
|
|
50 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
51 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
52 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
53 |
A |
2 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
54 |
A |
2 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
55 |
A |
2 |
1 |
1. |
28 |
0.036 |
|
|
|
|
|
|
|
56 |
A |
2 |
1 |
1. |
30 |
0.033 |
|
|
|
|
|
|
|
57 |
A |
7 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
58 |
A |
8 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
59 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
60 |
A |
6 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
|
61 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
62 |
A |
4 |
4 |
1. |
32 |
0.125 |
|
|
|
|
|
|
|
63 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
64 |
A |
6 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
65 |
A |
7 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
66 |
A |
7 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
67 |
A |
6 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
68 |
A |
5 |
5 |
1. |
32 |
0.156 |
|
|
|
|
|
|
|
69 |
A |
6 |
6 |
1. |
32 |
0.188 |
|
|
|
|
|
|
|
70 |
A |
8 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
71 |
A |
10 |
9 |
1. |
17 |
0.529 |
|
|
|
|
|
|
|
72 |
A |
10 |
9 |
0.99 |
17 |
0.529 |
|
|
|
|
|
|
|
73 |
A |
10 |
9 |
0.99 |
22 |
0.409 |
|
|
|
|
|
|
|
74 |
A |
10 |
9 |
1. |
22 |
0.409 |
|
|
|
|
|
|
|
75 |
A |
10 |
9 |
1. |
22 |
0.409 |
|
|
|
|
|
|
|
76 |
A |
9 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
77 |
A |
9 |
8 |
1. |
19 |
0.421 |
|
|
|
|
|
|
|
78 |
A |
8 |
7 |
1. |
18 |
0.389 |
|
|
|
|
|
|
|
79 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
80 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
|
81 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
82 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
83 |
A |
3 |
3 |
1. |
33 |
0.091 |
|
|
|
|
|
|
|
84 |
A |
3 |
3 |
1. |
35 |
0.086 |
|
|
|
|
|
|
|
85 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
86 |
A |
1 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
87 |
A |
3 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
88 |
A |
3 |
3 |
1. |
32 |
0.094 |
|
|
|
|
|
|
|
89 |
A |
1 |
1 |
1. |
33 |
0.03 |
|
|
|
|
|
|
|
90 |
A |
1 |
1 |
1. |
33 |
0.03 |
|
|
|
|
|
|
|
91 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
92 |
A |
1 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
93 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
94 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
95 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
96 |
A |
1 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
97 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
98 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
99 |
A |
1 |
1 |
1. |
35 |
0.029 |
|
|
|
|
|
|
|
100 |
A |
1 |
1 |
1. |
37 |
0.027 |
|
|
|
|
|
|
|
|
101 |
A |
3 |
3 |
1. |
38 |
0.079 |
|
|
|
|
|
|
|
102 |
A |
3 |
3 |
1. |
38 |
0.079 |
|
|
|
|
|
|
|
103 |
A |
1 |
1 |
1. |
32 |
0.031 |
|
|
|
|
|
|
|
104 |
A |
1 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
105 |
A |
3 |
3 |
1. |
35 |
0.086 |
|
|
|
|
|
|
|
106 |
A |
3 |
3 |
1. |
35 |
0.086 |
|
|
|
|
|
|
|
107 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
108 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
109 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
110 |
A |
3 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
111 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
112 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
113 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
114 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
115 |
A |
7 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
116 |
A |
13 |
9 |
1. |
15 |
0.6 |
|
|
|
|
|
|
|
117 |
A |
8 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
118 |
A |
14 |
10 |
1. |
15 |
0.667 |
|
|
|
|
|
|
|
119 |
A |
9 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
120 |
A |
15 |
10 |
1. |
15 |
0.667 |
|
|
|
|
|
|
|
|
121 |
A |
10 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
122 |
A |
16 |
10 |
1. |
15 |
0.667 |
|
|
|
|
|
|
|
123 |
A |
7 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
124 |
A |
13 |
9 |
1. |
13 |
0.692 |
|
|
|
|
|
|
|
125 |
A |
7 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
126 |
A |
13 |
9 |
1. |
20 |
0.45 |
|
|
|
|
|
|
|
127 |
A |
8 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
128 |
A |
14 |
10 |
1. |
20 |
0.5 |
|
|
|
|
|
|
|
129 |
A |
9 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
130 |
A |
15 |
10 |
1. |
20 |
0.5 |
|
|
|
|
|
|
|
131 |
A |
10 |
6 |
1. |
21 |
0.286 |
|
|
|
|
|
|
|
132 |
A |
16 |
10 |
1. |
20 |
0.5 |
|
|
|
|
|
|
|
133 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
134 |
A |
3 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
135 |
A |
2 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
136 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
137 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
138 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
139 |
A |
2 |
1 |
1. |
20 |
0.05 |
|
|
|
|
|
|
|
140 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
|
141 |
A |
4 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
142 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
143 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
144 |
A |
4 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
145 |
A |
3 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
146 |
A |
4 |
3 |
1. |
24 |
0.125 |
|
|
|
|
|
|
|
147 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
148 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
149 |
A |
8 |
6 |
1. |
26 |
0.231 |
|
|
|
|
|
|
|
150 |
A |
9 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
151 |
A |
10 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
152 |
A |
10 |
7 |
1. |
11 |
0.636 |
|
|
|
|
|
|
|
153 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
154 |
A |
13 |
9 |
1. |
15 |
0.6 |
|
|
|
|
|
|
|
155 |
A |
10 |
7 |
1. |
14 |
0.5 |
|
|
|
|
|
|
|
156 |
A |
9 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
157 |
A |
14 |
10 |
1. |
19 |
0.526 |
|
|
|
|
|
|
|
158 |
A |
13 |
9 |
1. |
20 |
0.45 |
|
|
|
|
|
|
|
159 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
160 |
A |
12 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
|
161 |
A |
5 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
162 |
A |
15 |
11 |
1. |
20 |
0.55 |
|
|
|
|
|
|
|
163 |
A |
13 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
164 |
A |
12 |
8 |
1. |
22 |
0.364 |
|
|
|
|
|
|
|
165 |
A |
16 |
12 |
1. |
24 |
0.5 |
|
|
|
|
|
|
|
166 |
A |
15 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
167 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
168 |
A |
11 |
8 |
1. |
17 |
0.471 |
|
|
|
|
|
|
|
169 |
A |
9 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
170 |
A |
15 |
11 |
1. |
19 |
0.579 |
|
|
|
|
|
|
|
171 |
A |
11 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
172 |
A |
8 |
6 |
1. |
31 |
0.194 |
|
|
|
|
|
|
|
173 |
A |
9 |
7 |
1. |
31 |
0.226 |
|
|
|
|
|
|
|
174 |
A |
10 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
175 |
A |
17 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
176 |
A |
14 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
177 |
A |
15 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
178 |
A |
16 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
179 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
180 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
|
181 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
182 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
183 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
184 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
185 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
186 |
A |
13 |
9 |
1. |
36 |
0.25 |
|
|
|
|
|
|
|
187 |
A |
13 |
9 |
1. |
41 |
0.22 |
|
|
|
|
|
|
|
188 |
A |
13 |
9 |
1. |
46 |
0.196 |
|
|
|
|
|
|
|
189 |
A |
19 |
13 |
1. |
35 |
0.371 |
|
|
|
|
|
|
|
190 |
A |
19 |
13 |
1. |
40 |
0.325 |
|
|
|
|
|
|
|
191 |
A |
19 |
13 |
1. |
45 |
0.289 |
|
|
|
|
|
|
|
192 |
A |
8 |
6 |
1. |
36 |
0.167 |
|
|
|
|
|
|
|
193 |
A |
8 |
6 |
1. |
41 |
0.146 |
|
|
|
|
|
|
|
194 |
A |
10 |
8 |
1. |
46 |
0.174 |
|
|
|
|
|
|
|
195 |
A |
14 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
196 |
A |
14 |
10 |
1. |
40 |
0.25 |
|
|
|
|
|
|
|
197 |
A |
16 |
12 |
1. |
45 |
0.267 |
|
|
|
|
|
|
|
198 |
A |
9 |
7 |
1. |
36 |
0.194 |
|
|
|
|
|
|
|
199 |
A |
9 |
7 |
1. |
41 |
0.171 |
|
|
|
|
|
|
|
200 |
A |
9 |
7 |
1. |
46 |
0.152 |
|
|
|
|
|
|
|
|
201 |
A |
15 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
202 |
A |
15 |
11 |
1. |
40 |
0.275 |
|
|
|
|
|
|
|
203 |
A |
15 |
11 |
1. |
45 |
0.244 |
|
|
|
|
|
|
|
204 |
A |
10 |
8 |
1. |
36 |
0.222 |
|
|
|
|
|
|
|
205 |
A |
10 |
8 |
1. |
41 |
0.195 |
|
|
|
|
|
|
|
206 |
A |
10 |
8 |
1. |
46 |
0.174 |
|
|
|
|
|
|
|
207 |
A |
16 |
12 |
1. |
35 |
0.343 |
|
|
|
|
|
|
|
208 |
A |
16 |
12 |
1. |
40 |
0.3 |
|
|
|
|
|
|
|
209 |
A |
16 |
12 |
1. |
45 |
0.267 |
|
|
|
|
|
|
|
210 |
A |
6 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
211 |
A |
7 |
6 |
1. |
18 |
0.333 |
|
|
|
|
|
|
|
212 |
A |
7 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
213 |
A |
6 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
214 |
A |
8 |
7 |
1. |
22 |
0.318 |
|
|
|
|
|
|
|
215 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
216 |
A |
1 |
1 |
1. |
26 |
0.038 |
|
|
|
|
|
|
|
217 |
A |
1 |
1 |
1. |
28 |
0.036 |
|
|
|
|
|
|
|
218 |
A |
1 |
1 |
1. |
31 |
0.032 |
|
|
|
|
|
|
|
219 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
220 |
A |
12 |
10 |
1. |
42 |
0.238 |
|
|
|
|
|
|
|
|
221 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
222 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
223 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
224 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
225 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
226 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
227 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
228 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
229 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
230 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
231 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
232 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
233 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
234 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
235 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
236 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
237 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
238 |
A |
9 |
8 |
1. |
28 |
0.286 |
|
|
|
|
|
|
|
239 |
A |
8 |
7 |
1. |
27 |
0.259 |
|
|
|
|
|
|
|
240 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
|
241 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
242 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
243 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
244 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
245 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
246 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
247 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
248 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
249 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
250 |
A |
8 |
7 |
1. |
30 |
0.233 |
|
|
|
|
|
|
|
251 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
252 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
253 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
254 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
255 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
256 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
257 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
258 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
259 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
260 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
|
261 |
A |
12 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
262 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
263 |
A |
11 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
264 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
265 |
A |
10 |
9 |
1. |
28 |
0.321 |
|
|
|
|
|
|
|
266 |
A |
9 |
9 |
1. |
27 |
0.333 |
|
|
|
|
|
|
|
267 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
268 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
269 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
270 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
271 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
272 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
273 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
274 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
275 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
276 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
277 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
278 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
279 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
280 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
|
281 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
282 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
283 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
284 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
285 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
286 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
287 |
A |
14 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
288 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
289 |
A |
13 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
290 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
291 |
A |
12 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
292 |
A |
10 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
293 |
A |
10 |
10 |
1. |
28 |
0.357 |
|
|
|
|
|
|
|
294 |
A |
9 |
9 |
1. |
27 |
0.333 |
|
|
|
|
|
|
|
295 |
A |
9 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
296 |
A |
9 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
297 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
298 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
299 |
A |
10 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
300 |
A |
10 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
|
301 |
A |
10 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
302 |
A |
10 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
303 |
A |
10 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
304 |
A |
8 |
7 |
1. |
16 |
0.438 |
|
|
|
|
|
|
|
305 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
306 |
A |
8 |
7 |
1. |
16 |
0.438 |
|
|
|
|
|
|
|
307 |
A |
6 |
6 |
1. |
14 |
0.429 |
|
|
|
|
|
|
|
308 |
A |
6 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
309 |
A |
6 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
310 |
A |
3 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
311 |
A |
6 |
6 |
1. |
14 |
0.429 |
|
|
|
|
|
|
|
312 |
A |
6 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
313 |
A |
2 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
314 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
315 |
A |
2 |
1 |
1. |
18 |
0.056 |
|
|
|
|
|
|
|
316 |
A |
2 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
317 |
A |
2 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
318 |
A |
2 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
319 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
320 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
|
321 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
322 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
323 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
324 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
325 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
326 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
327 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
328 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
329 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
330 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
331 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
332 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
333 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
334 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
335 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
336 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
337 |
A |
10 |
9 |
1. |
23 |
0.391 |
|
|
|
|
|
|
|
338 |
A |
10 |
9 |
1. |
23 |
0.391 |
|
|
|
|
|
|
|
339 |
A |
10 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
340 |
A |
8 |
8 |
1. |
20 |
0.4 |
|
|
|
|
|
|
|
|
341 |
A |
10 |
9 |
1. |
23 |
0.391 |
|
|
|
|
|
|
|
342 |
A |
10 |
9 |
1. |
23 |
0.391 |
|
|
|
|
|
|
|
343 |
A |
10 |
9 |
1. |
23 |
0.391 |
|
|
|
|
|
|
|
344 |
A |
7 |
7 |
1. |
23 |
0.304 |
|
|
|
|
|
|
|
345 |
A |
7 |
7 |
1. |
21 |
0.333 |
|
|
|
|
|
|
|
346 |
A |
7 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
347 |
A |
11 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
348 |
A |
11 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
349 |
A |
11 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
350 |
A |
11 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
351 |
A |
8 |
8 |
1. |
23 |
0.348 |
|
|
|
|
|
|
|
352 |
A |
8 |
8 |
1. |
21 |
0.381 |
|
|
|
|
|
|
|
353 |
A |
8 |
8 |
1. |
20 |
0.4 |
|
|
|
|
|
|
|
354 |
A |
12 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
355 |
A |
12 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
356 |
A |
12 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
357 |
A |
12 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
358 |
A |
9 |
8 |
1. |
23 |
0.348 |
|
|
|
|
|
|
|
359 |
A |
9 |
9 |
1. |
21 |
0.429 |
|
|
|
|
|
|
|
360 |
A |
9 |
8 |
1. |
20 |
0.4 |
|
|
|
|
|
|
|
|
361 |
A |
13 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
362 |
A |
13 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
363 |
A |
13 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
364 |
A |
13 |
10 |
1. |
23 |
0.435 |
|
|
|
|
|
|
|
365 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
366 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
367 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
368 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
369 |
A |
4 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
370 |
A |
4 |
4 |
1. |
29 |
0.138 |
|
|
|
|
|
|
|
371 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
372 |
A |
4 |
4 |
1. |
28 |
0.143 |
|
|
|
|
|
|
|
373 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
374 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
375 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
376 |
A |
2 |
1 |
1. |
34 |
0.029 |
|
|
|
|
|
|
|
377 |
A |
2 |
1 |
1. |
33 |
0.03 |
|
|
|
|
|
|
|
378 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
379 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
380 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
|
381 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
382 |
A |
2 |
1 |
1. |
36 |
0.028 |
|
|
|
|
|
|
|
383 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
384 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
385 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
386 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
387 |
A |
3 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
388 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
389 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
390 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
391 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
392 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
393 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
394 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
395 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
396 |
A |
3 |
2 |
1. |
36 |
0.056 |
|
|
|
|
|
|
|
397 |
A |
3 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
398 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
399 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
400 |
A |
3 |
2 |
1. |
38 |
0.053 |
|
|
|
|
|
|
|
|
401 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
402 |
A |
2 |
1 |
1. |
38 |
0.026 |
|
|
|
|
|
|
|
403 |
A |
13 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
404 |
A |
13 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
405 |
A |
13 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
406 |
A |
13 |
10 |
1. |
36 |
0.278 |
|
|
|
|
|
|
|
407 |
A |
10 |
9 |
0.99 |
35 |
0.257 |
|
|
|
|
|
|
|
408 |
A |
10 |
9 |
0.99 |
38 |
0.237 |
|
|
|
|
|
|
|
409 |
A |
10 |
9 |
1. |
38 |
0.237 |
|
|
|
|
|
|
|
410 |
A |
10 |
9 |
0.99 |
38 |
0.237 |
|
|
|
|
|
|
|
411 |
A |
10 |
9 |
0.99 |
38 |
0.237 |
|
|
|
|
|
|
|
412 |
A |
11 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
413 |
A |
11 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
414 |
A |
11 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
415 |
A |
11 |
10 |
1. |
36 |
0.278 |
|
|
|
|
|
|
|
416 |
A |
9 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
417 |
A |
11 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
418 |
A |
11 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
419 |
A |
11 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
420 |
A |
11 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
|
421 |
A |
12 |
11 |
1. |
38 |
0.29 |
|
|
|
|
|
|
|
422 |
A |
10 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
423 |
A |
8 |
8 |
1. |
38 |
0.21 |
|
|
|
|
|
|
|
424 |
A |
8 |
8 |
1. |
36 |
0.222 |
|
|
|
|
|
|
|
425 |
A |
8 |
8 |
1. |
35 |
0.229 |
|
|
|
|
|
|
|
426 |
A |
12 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
427 |
A |
12 |
10 |
1. |
38 |
0.263 |
|
|
|
|
|
|
|
428 |
A |
12 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
429 |
A |
12 |
10 |
0.99 |
38 |
0.263 |
|
|
|
|
|
|
|
430 |
A |
10 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
431 |
A |
8 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
432 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
433 |
A |
5 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
434 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
435 |
A |
8 |
8 |
1. |
25 |
0.32 |
|
|
|
|
|
|
|
436 |
A |
9 |
8 |
1. |
25 |
0.32 |
|
|
|
|
|
|
|
437 |
A |
8 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
438 |
A |
7 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
439 |
A |
6 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
440 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
|
441 |
A |
6 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
442 |
A |
4 |
4 |
1. |
22 |
0.182 |
|
|
|
|
|
|
|
443 |
A |
10 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
444 |
A |
11 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
445 |
A |
13 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
446 |
A |
11 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
447 |
A |
9 |
8 |
1. |
33 |
0.242 |
|
|
|
|
|
|
|
448 |
A |
8 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
449 |
A |
11 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
450 |
A |
11 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
451 |
A |
10 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
452 |
A |
11 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
453 |
A |
12 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
454 |
A |
10 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
455 |
A |
11 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
456 |
A |
12 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
457 |
A |
13 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
458 |
A |
14 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
459 |
A |
12 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
460 |
A |
10 |
8 |
1. |
33 |
0.242 |
|
|
|
|
|
|
|
|
461 |
A |
9 |
7 |
1. |
32 |
0.219 |
|
|
|
|
|
|
|
462 |
A |
12 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
463 |
A |
12 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
464 |
A |
11 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
465 |
A |
12 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
466 |
A |
13 |
9 |
1. |
35 |
0.257 |
|
|
|
|
|
|
|
467 |
A |
11 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
468 |
A |
12 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
469 |
A |
13 |
11 |
1. |
35 |
0.314 |
|
|
|
|
|
|
|
470 |
A |
11 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
471 |
A |
12 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
472 |
A |
13 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
473 |
A |
14 |
10 |
1. |
35 |
0.286 |
|
|
|
|
|
|
|
474 |
A |
8 |
7 |
1.18 |
20 |
0.35 |
|
|
|
|
|
|
|
475 |
A |
7 |
4 |
1.17 |
21 |
0.19 |
|
|
|
|
|
|
|
476 |
A |
7 |
4 |
1.17 |
23 |
0.174 |
|
|
|
|
|
|
|
477 |
A |
2 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
478 |
A |
2 |
1 |
1. |
26 |
0.038 |
|
|
|
|
|
|
|
479 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
480 |
A |
3 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
|
481 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
482 |
A |
3 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
483 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
484 |
A |
3 |
2 |
1. |
28 |
0.071 |
|
|
|
|
|
|
|
485 |
A |
9 |
7 |
1. |
26 |
0.269 |
|
|
|
|
|
|
|
486 |
A |
12 |
9 |
1. |
29 |
0.31 |
|
|
|
|
|
|
|
487 |
A |
15 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
488 |
A |
18 |
13 |
1. |
28 |
0.464 |
|
|
|
|
|
|
|
489 |
A |
14 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
490 |
A |
14 |
10 |
1. |
28 |
0.357 |
|
|
|
|
|
|
|
491 |
A |
15 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
492 |
A |
15 |
11 |
1. |
28 |
0.393 |
|
|
|
|
|
|
|
493 |
A |
16 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
494 |
A |
16 |
11 |
1. |
28 |
0.393 |
|
|
|
|
|
|
|
495 |
A |
14 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
496 |
A |
13 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
497 |
A |
12 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
498 |
A |
12 |
11 |
1. |
28 |
0.393 |
|
|
|
|
|
|
|
499 |
A |
11 |
10 |
1. |
27 |
0.37 |
|
|
|
|
|
|
|
500 |
A |
14 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
|
501 |
A |
14 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
502 |
A |
14 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
503 |
A |
15 |
14 |
1. |
30 |
0.467 |
|
|
|
|
|
|
|
504 |
A |
13 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
505 |
A |
14 |
14 |
1. |
30 |
0.467 |
|
|
|
|
|
|
|
506 |
A |
12 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
507 |
A |
13 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
508 |
A |
14 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
509 |
A |
15 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
510 |
A |
16 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
511 |
A |
15 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
512 |
A |
14 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
513 |
A |
14 |
11 |
1. |
28 |
0.393 |
|
|
|
|
|
|
|
514 |
A |
13 |
10 |
1. |
27 |
0.37 |
|
|
|
|
|
|
|
515 |
A |
16 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
516 |
A |
16 |
14 |
1. |
30 |
0.467 |
|
|
|
|
|
|
|
517 |
A |
16 |
15 |
1. |
30 |
0.5 |
|
|
|
|
|
|
|
518 |
A |
16 |
14 |
1. |
30 |
0.467 |
|
|
|
|
|
|
|
519 |
A |
15 |
15 |
1. |
30 |
0.5 |
|
|
|
|
|
|
|
520 |
A |
15 |
15 |
1. |
30 |
0.5 |
|
|
|
|
|
|
|
|
521 |
A |
15 |
15 |
1. |
30 |
0.5 |
|
|
|
|
|
|
|
522 |
A |
16 |
16 |
1. |
30 |
0.533 |
|
|
|
|
|
|
|
523 |
A |
14 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
524 |
A |
15 |
14 |
1. |
30 |
0.467 |
|
|
|
|
|
|
|
525 |
A |
13 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
526 |
A |
14 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
527 |
A |
15 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
528 |
A |
16 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
529 |
A |
12 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
530 |
A |
11 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
531 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
532 |
A |
10 |
9 |
1. |
28 |
0.321 |
|
|
|
|
|
|
|
533 |
A |
9 |
8 |
1. |
27 |
0.296 |
|
|
|
|
|
|
|
534 |
A |
12 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
535 |
A |
13 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
536 |
A |
11 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
537 |
A |
12 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
538 |
A |
13 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
539 |
A |
14 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
540 |
A |
12 |
11 |
1. |
30 |
0.367 |
|
|
|
|
|
|
|
|
541 |
A |
11 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
542 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
543 |
A |
9 |
8 |
1. |
30 |
0.267 |
|
|
|
|
|
|
|
544 |
A |
10 |
9 |
1. |
30 |
0.3 |
|
|
|
|
|
|
|
545 |
A |
7 |
6 |
1. |
28 |
0.214 |
|
|
|
|
|
|
|
546 |
A |
4 |
4 |
1. |
27 |
0.148 |
|
|
|
|
|
|
|
547 |
A |
11 |
10 |
1. |
30 |
0.333 |
|
|
|
|
|
|
|
548 |
A |
13 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
549 |
A |
15 |
12 |
1. |
30 |
0.4 |
|
|
|
|
|
|
|
550 |
A |
17 |
13 |
1. |
30 |
0.433 |
|
|
|
|
|
|
|
551 |
A |
14 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
552 |
A |
12 |
8 |
1.19 |
25 |
0.32 |
|
|
|
|
|
|
|
553 |
A |
13 |
7 |
1. |
28 |
0.25 |
|
|
|
|
|
|
|
554 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
555 |
A |
2 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
556 |
A |
2 |
2 |
1. |
35 |
0.057 |
|
|
|
|
|
|
|
557 |
A |
2 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
558 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
559 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
560 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
|
561 |
A |
7 |
6 |
1. |
20 |
0.3 |
|
|
|
|
|
|
|
562 |
A |
7 |
6 |
1. |
20 |
0.3 |
|
|
|
|
|
|
|
563 |
A |
7 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
564 |
A |
7 |
6 |
1. |
25 |
0.24 |
|
|
|
|
|
|
|
565 |
A |
11 |
6 |
1. |
35 |
0.171 |
|
|
|
|
|
|
|
566 |
A |
11 |
6 |
1. |
35 |
0.171 |
|
|
|
|
|
|
|
567 |
A |
8 |
5 |
1. |
22 |
0.227 |
|
|
|
|
|
|
|
568 |
A |
11 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
569 |
A |
17 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
570 |
A |
17 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
571 |
A |
14 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
572 |
A |
14 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
573 |
A |
15 |
9 |
1. |
17 |
0.529 |
|
|
|
|
|
|
|
574 |
A |
14 |
7 |
1. |
25 |
0.28 |
|
|
|
|
|
|
|
575 |
A |
13 |
7 |
1. |
18 |
0.389 |
|
|
|
|
|
|
|
576 |
A |
7 |
4 |
1. |
36 |
0.111 |
|
|
|
|
|
|
|
577 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
578 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
579 |
A |
4 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
580 |
A |
1 |
0 |
1. |
9 |
0. |
|
|
|
|
|
|
|
|
581 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
582 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
583 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
584 |
A |
13 |
4 |
1. |
38 |
0.105 |
|
|
|
|
|
|
|
585 |
A |
2 |
2 |
1. |
58 |
0.034 |
|
|
|
|
|
|
|
586 |
A |
10 |
3 |
1. |
30 |
0.1 |
|
|
|
|
|
|
|
587 |
A |
13 |
4 |
1. |
36 |
0.111 |
|
|
|
|
|
|
|
588 |
A |
4 |
4 |
1. |
35 |
0.114 |
|
|
|
|
|
|
|
589 |
A |
1 |
1 |
1. |
46 |
0.022 |
|
|
|
|
|
|
|
590 |
A |
10 |
8 |
1. |
24 |
0.333 |
|
|
|
|
|
|
|
591 |
A |
1 |
1 |
1. |
48 |
0.021 |
|
|
|
|
|
|
|
592 |
A |
1 |
1 |
1. |
45 |
0.022 |
|
|
|
|
|
|
|
593 |
A |
1 |
1 |
1. |
69 |
0.014 |
|
|
|
|
|
|
|
594 |
A |
1 |
1 |
1. |
86 |
0.012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|