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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

B grade: { 615 }

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, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 48, 50, 51, 52, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 114, 115, 116, 117, 118, 119, 120, 121, 123, 127, 128, 129, 130, 131, 132, 133, 134, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 149, 150, 152, 156, 157, 158, 159, 160, 161, 162, 169, 170, 171, 172, 173, 174, 175, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 196, 198, 200, 202, 276, 277, 278, 279, 285, 286, 287, 288, 294, 295, 296, 297, 301, 302, 303, 304, 308, 309, 310, 311, 312, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344, 345, 346, 347, 350, 351, 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, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 403, 404, 406, 407, 408, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 447, 448, 449, 450, 451, 452, 453, 454, 455, 458, 459, 460, 461, 462, 463, 464, 465, 466, 468, 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, 522, 523, 524, 525, 526, 527, 528, 529, 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, 616, 623, 624, 625, 626, 627, 628, 630, 631, 632, 633, 634, 635, 636, 647, 648, 649, 650 }

B grade: { 18, 32, 45, 53, 55, 68, 88, 122, 135, 151, 348, 349, 389, 402, 405, 415, 431, 432, 433, 444, 445, 446, 456, 457, 467, 469, 470, 619, 620, 621 }

C grade: { 34, 47, 49, 79, 108, 109, 110, 111, 112, 113, 124, 125, 126, 137, 138, 148, 153, 154, 155, 163, 164, 165, 166, 167, 168, 176, 177, 178, 179, 180, 181, 192, 193, 194, 195, 197, 199, 201, 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 330, 338, 352, 353, 519, 520, 521, 530, 531, 532, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 617, 618 }

F grade: { 622, 629, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 651, 652, 653 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 44, 45, 46, 52, 54, 56, 57, 58, 59, 61, 63, 65, 67, 68, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 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, 204, 205, 206, 207, 208, 209, 210, 214, 215, 216, 217, 218, 219, 220, 224, 225, 226, 227, 228, 233, 234, 235, 236, 237, 238, 243, 244, 245, 246, 247, 253, 254, 255, 256, 257, 263, 264, 265, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 346, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 406, 407, 408, 409, 410, 411, 412, 415, 416, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 434, 437, 438, 439, 440, 441, 442, 443, 446, 447, 449, 450, 451, 452, 453, 454, 455, 461, 462, 463, 464, 465, 466, 473, 474, 475, 476, 477, 483, 484, 485, 494, 495, 496, 506, 507, 508, 509, 510, 516, 517, 518, 519, 520, 527, 528, 529, 530, 531, 539, 541, 542, 543, 544, 545, 551, 552, 559, 560, 568, 569, 633 }

B grade: { 21, 23, 28, 30, 35, 36, 37, 39, 40, 41, 42, 43, 47, 48, 49, 50, 51, 53, 55, 60, 62, 64, 66, 75, 77, 81, 90, 203, 211, 212, 213, 221, 222, 223, 229, 230, 231, 232, 239, 240, 241, 242, 248, 249, 250, 251, 252, 258, 259, 260, 261, 262, 266, 267, 268, 269, 270, 271, 272, 292, 293, 314, 315, 391, 405, 413, 414, 417, 418, 424, 431, 432, 433, 435, 436, 444, 445, 448, 456, 457, 458, 459, 460, 467, 468, 469, 470, 471, 472, 478, 479, 480, 481, 482, 486, 487, 488, 489, 490, 491, 492, 493, 497, 498, 499, 500, 501, 502, 503, 504, 505, 511, 512, 513, 514, 515, 521, 522, 523, 524, 525, 526, 532, 533, 534, 535, 536, 537, 538, 540, 546, 547, 548, 549, 550, 553, 554, 555, 556, 557, 558, 561, 562, 563, 564, 565, 566, 567, 570, 571, 572, 573, 615 }

C grade: { 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614 }

F grade: { 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, 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, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 52, 54, 56, 57, 59, 61, 63, 65, 67, 68, 69, 70, 72, 74, 78, 80, 82, 83, 85, 87, 91, 95, 96, 98, 100, 101, 103, 105, 107, 108, 110, 112, 114, 116, 118, 120, 121, 123, 125, 127, 129, 131, 132, 134, 136, 138, 139, 141, 143, 145, 146, 148, 150, 152, 154, 160, 162, 163, 165, 167, 169, 171, 173, 175, 176, 178, 180, 183, 185, 187, 189, 191, 192, 194, 346, 363, 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, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443, 449, 450, 451, 452, 453, 461, 462, 464, 473, 474, 475, 483, 484, 485, 494, 495, 496, 506, 507, 508, 516, 517, 518, 527, 528, 529, 631, 632, 633 }

B grade: { 36, 41, 43, 51, 53, 55, 58, 60, 62, 64, 66, 71, 73, 75, 76, 77, 79, 81, 84, 86, 88, 89, 90, 92, 93, 94, 97, 99, 122, 133, 135, 147, 149, 151, 156, 158, 276, 277, 278, 279, 285, 286, 287, 288, 294, 295, 296, 297, 301, 302, 303, 304, 308, 309, 310, 311, 312, 316, 317, 318, 319, 320, 343, 344, 345, 367, 368, 369, 413, 414, 454, 455, 463, 465, 466, 630 }

C grade: { }

F grade: { 102, 104, 106, 109, 111, 113, 115, 117, 119, 124, 126, 128, 130, 137, 140, 142, 144, 153, 155, 157, 159, 161, 164, 166, 168, 170, 172, 174, 177, 179, 181, 182, 184, 186, 188, 190, 193, 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 364, 365, 366, 370, 371, 372, 373, 374, 375, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 456, 457, 458, 459, 460, 467, 468, 469, 470, 471, 472, 476, 477, 478, 479, 480, 481, 482, 486, 487, 488, 489, 490, 491, 492, 493, 497, 498, 499, 500, 501, 502, 503, 504, 505, 509, 510, 511, 512, 513, 514, 515, 519, 520, 521, 522, 523, 524, 525, 526, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 40, 42, 44, 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, 77, 78, 79, 80, 82, 84, 85, 86, 87, 91, 94, 97, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 130, 132, 133, 134, 135, 136, 138, 139, 140, 142, 144, 146, 147, 148, 149, 150, 152, 154, 155, 156, 157, 158, 160, 162, 163, 165, 166, 167, 168, 169, 171, 173, 175, 176, 178, 179, 180, 181, 183, 185, 187, 189, 192, 193, 194, 195, 276, 277, 278, 279, 285, 286, 287, 288, 295, 296, 297, 301, 302, 303, 304, 309, 310, 311, 312, 318, 319, 320, 343, 344, 345, 346, 360, 361, 362, 363, 368, 369, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 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, 444, 445, 446, 447, 448, 449, 450, 451, 456, 458, 461, 473, 474, 475, 483, 484, 494, 506, 507, 508, 516, 517, 518, 527, 528, 632, 633 }

B grade: { 18, 23, 32, 36, 39, 41, 43, 45, 76, 81, 83, 88, 89, 90, 92, 93, 95, 96, 98, 109, 124, 129, 131, 137, 141, 143, 145, 151, 153, 159, 161, 164, 170, 172, 174, 177, 182, 184, 186, 188, 190, 191, 294, 308, 316, 317, 367, 389, 402, 413, 414, 415, 442, 443, 452, 453, 454, 455, 457, 459, 460, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 476, 477, 485, 487, 495, 496, 497, 498, 499, 529, 530, 630, 631 }

C grade: { }

F grade: { 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 364, 365, 366, 370, 371, 372, 373, 374, 375, 478, 479, 480, 481, 482, 486, 488, 489, 490, 491, 492, 493, 500, 501, 502, 503, 504, 505, 509, 510, 511, 512, 513, 514, 515, 519, 520, 521, 522, 523, 524, 525, 526, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 13, 14, 15, 16, 17, 18, 27, 28, 29, 30, 31, 32, 41, 42, 43, 44, 45, 51, 52, 53, 54, 55, 56, 62, 63, 64, 65, 66, 67, 68, 69, 76, 77, 78, 79, 80, 81, 82, 89, 91, 93, 95, 107, 118, 120, 162, 175, 189, 191, 344, 345, 346, 376, 377, 378, 382, 383, 387, 388, 389, 393, 394, 395, 400, 401, 402, 406, 407, 413, 414, 415, 419, 427, 439, 440, 451, 452, 461, 462, 463, 464, 475, 484, 485, 508, 518, 528, 529, 633 }

B grade: { }

C grade: { }

F grade: { 8, 9, 10, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 33, 34, 35, 36, 37, 38, 39, 40, 46, 47, 48, 49, 50, 57, 58, 59, 60, 61, 70, 71, 72, 73, 74, 75, 83, 84, 85, 86, 87, 88, 90, 92, 94, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 119, 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, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 190, 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, 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, 379, 380, 381, 384, 385, 386, 390, 391, 392, 396, 397, 398, 399, 403, 404, 405, 408, 409, 410, 411, 412, 416, 417, 418, 420, 421, 422, 423, 424, 425, 426, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 453, 454, 455, 456, 457, 458, 459, 460, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 476, 477, 478, 479, 480, 481, 482, 483, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 509, 510, 511, 512, 513, 514, 515, 516, 517, 519, 520, 521, 522, 523, 524, 525, 526, 527, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 29, 30, 31, 32, 34, 36, 38, 39, 40, 42, 44, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 102, 104, 106, 109, 111, 113, 160, 162, 173, 175, 189, 191, 346, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 415, 416, 417, 418, 419, 421, 422, 423, 425, 426, 427, 428, 429, 430, 432, 433, 434, 437, 438, 439, 440, 441, 442, 443, 445, 446, 449, 450, 451, 452, 453, 454, 455, 458, 461, 462, 463, 464, 474, 475, 507, 508, 517, 518, 528, 529, 633 }

B grade: { 8, 19, 26, 28, 33, 35, 37, 41, 43, 48, 50, 60, 76, 78, 90, 91, 101, 103, 105, 107, 110, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 127, 128, 129, 130, 131, 133, 139, 140, 141, 142, 143, 144, 145, 156, 157, 158, 159, 161, 163, 164, 165, 166, 169, 170, 171, 172, 174, 176, 177, 179, 180, 182, 183, 184, 185, 186, 187, 188, 190, 193, 194, 195, 345, 386, 399, 411, 412, 413, 414, 420, 424, 431, 435, 436, 444, 447, 448, 456, 457, 459, 460, 465, 466, 467, 468, 469, 470, 471, 472, 632 }

C grade: { }

F grade: { 108, 123, 124, 125, 126, 132, 134, 135, 136, 137, 138, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 167, 168, 178, 181, 192, 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, 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, 473, 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, 509, 510, 511, 512, 513, 514, 515, 516, 519, 520, 521, 522, 523, 524, 525, 526, 527, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.8 Mupad

A grade: { }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 107, 120, 122, 131, 133, 135, 145, 149, 151, 162, 175, 191, 200, 276, 277, 278, 279, 285, 286, 287, 288, 294, 295, 296, 297, 301, 302, 303, 304, 308, 309, 310, 311, 312, 316, 317, 318, 319, 320, 343, 344, 345, 346, 360, 361, 362, 363, 367, 368, 369, 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, 475, 485, 496, 508, 518, 528, 529, 543, 630, 631, 632, 633 }

C grade: { }

F grade: { 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 150, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198, 199, 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 364, 365, 366, 370, 371, 372, 373, 374, 375, 472, 473, 474, 476, 477, 478, 479, 480, 481, 482, 483, 484, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 509, 510, 511, 512, 513, 514, 515, 516, 517, 519, 520, 521, 522, 523, 524, 525, 526, 527, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 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, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 74 56 92 62 105 118 90
normalized size 1 1.00 0.85 0.64 1.06 0.71 1.21 1.36 1.03
time (sec) N/A 0.056 0.043 0.135 0.402 0.787 10.287 2.685 0.087
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 57 62 63 62 172 107 226
normalized size 1 1.00 0.66 0.71 0.72 0.71 1.98 1.23 2.60
time (sec) N/A 0.061 0.158 0.145 0.626 0.619 6.702 1.292 8.231
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 60 46 70 51 83 88 68
normalized size 1 1.00 0.94 0.72 1.09 0.80 1.30 1.38 1.06
time (sec) N/A 0.044 0.023 0.135 0.324 0.764 3.649 0.750 0.051
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 62 52 48 51 124 77 165
normalized size 1 1.00 0.95 0.80 0.74 0.78 1.91 1.18 2.54
time (sec) N/A 0.045 0.084 0.143 0.327 0.612 2.176 0.694 7.991
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 44 36 48 39 60 48 46
normalized size 1 1.00 0.98 0.80 1.07 0.87 1.33 1.07 1.02
time (sec) N/A 0.037 0.015 0.131 0.320 0.741 1.016 0.596 0.058
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 46 41 37 37 71 47 103
normalized size 1 1.00 1.07 0.95 0.86 0.86 1.65 1.09 2.40
time (sec) N/A 0.033 0.048 0.083 0.324 0.565 0.534 0.805 6.761
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 28 39 25 20 25 34 25 20
normalized size 1 1.27 1.77 1.14 0.91 1.14 1.55 1.14 0.91
time (sec) N/A 0.016 0.013 0.043 0.355 0.694 0.219 0.496 0.040
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 26 16 15 17 0 37 15
normalized size 1 1.00 1.53 0.94 0.88 1.00 0.00 2.18 0.88
time (sec) N/A 0.020 0.014 0.083 0.353 0.673 0.000 0.935 0.047
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 24 23 40 0 19 19
normalized size 1 1.00 1.00 1.04 1.00 1.74 0.00 0.83 0.83
time (sec) N/A 0.032 0.014 0.135 0.487 0.553 0.000 0.470 4.688
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 52 54 42 67 0 54 30
normalized size 1 1.00 1.33 1.38 1.08 1.72 0.00 1.38 0.77
time (sec) N/A 0.042 0.018 0.168 0.328 1.046 0.000 0.544 0.061
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 41 38 35 52 0 66 63
normalized size 1 1.00 0.93 0.86 0.80 1.18 0.00 1.50 1.43
time (sec) N/A 0.036 0.061 0.164 0.379 0.639 0.000 0.364 4.604
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 68 74 86 136 0 92 71
normalized size 1 1.00 0.81 0.88 1.02 1.62 0.00 1.10 0.85
time (sec) N/A 0.064 0.079 0.175 0.528 0.796 0.000 0.515 4.501
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 171 129 115 85 398 123 461
normalized size 1 1.00 1.36 1.02 0.91 0.67 3.16 0.98 3.66
time (sec) N/A 0.107 1.520 0.176 0.607 0.959 14.952 0.522 6.916
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 58 99 95 71 158 117 92
normalized size 1 1.00 0.87 1.48 1.42 1.06 2.36 1.75 1.37
time (sec) N/A 0.061 0.074 0.172 0.491 0.711 8.340 2.271 4.536
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 151 109 89 72 287 106 349
normalized size 1 1.00 1.48 1.07 0.87 0.71 2.81 1.04 3.42
time (sec) N/A 0.093 0.544 0.177 0.321 0.978 5.219 0.612 6.792
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 46 79 56 58 107 56 53
normalized size 1 1.00 1.02 1.76 1.24 1.29 2.38 1.24 1.18
time (sec) N/A 0.046 0.084 0.165 0.408 0.725 3.051 0.886 0.064
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 131 87 65 59 180 72 237
normalized size 1 1.00 1.68 1.12 0.83 0.76 2.31 0.92 3.04
time (sec) N/A 0.089 0.296 0.120 0.320 0.550 1.998 0.443 6.708
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 47 21 20 44 53 20 32
normalized size 1 1.00 2.14 0.95 0.91 2.00 2.41 0.91 1.45
time (sec) N/A 0.024 0.021 0.071 0.342 0.690 0.818 0.743 4.545
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 29 53 30 32 0 91 26
normalized size 1 1.00 0.85 1.56 0.88 0.94 0.00 2.68 0.76
time (sec) N/A 0.042 0.020 0.144 0.394 0.596 0.000 0.874 0.054
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 75 47 47 74 0 33 28
normalized size 1 1.00 1.97 1.24 1.24 1.95 0.00 0.87 0.74
time (sec) N/A 0.082 0.055 0.183 0.666 0.596 0.000 0.555 4.561
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 32 75 18 19 0 30 18
normalized size 1 1.00 1.60 3.75 0.90 0.95 0.00 1.50 0.90
time (sec) N/A 0.038 0.136 0.213 0.324 0.767 0.000 0.740 0.042
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 58 63 52 97 0 54 81
normalized size 1 1.00 0.92 1.00 0.83 1.54 0.00 0.86 1.29
time (sec) N/A 0.069 0.009 0.216 0.605 0.593 0.000 1.687 4.558
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 56 144 71 125 0 77 58
normalized size 1 1.00 0.88 2.25 1.11 1.95 0.00 1.20 0.91
time (sec) N/A 0.066 0.068 0.227 0.349 0.667 0.000 0.623 4.466
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 82 93 77 85 0 106 156
normalized size 1 1.00 1.28 1.45 1.20 1.33 0.00 1.66 2.44
time (sec) N/A 0.056 0.011 0.223 0.372 0.609 0.000 0.649 4.634
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 85 190 108 203 0 119 94
normalized size 1 1.00 0.78 1.74 0.99 1.86 0.00 1.09 0.86
time (sec) N/A 0.089 0.145 0.242 0.955 0.740 0.000 0.501 4.338
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 110 121 98 115 0 171 276
normalized size 1 1.00 1.34 1.48 1.20 1.40 0.00 2.09 3.37
time (sec) N/A 0.059 0.024 0.237 0.332 0.596 0.000 0.650 5.066
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 181 163 141 98 439 157 501
normalized size 1 1.00 1.18 1.06 0.92 0.64 2.85 1.02 3.25
time (sec) N/A 0.154 1.995 0.184 0.385 0.843 21.327 0.862 6.806
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 58 133 108 85 196 134 106
normalized size 1 1.00 0.87 1.99 1.61 1.27 2.93 2.00 1.58
time (sec) N/A 0.066 0.093 0.171 0.369 0.645 13.396 0.985 4.539
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 161 143 115 85 335 123 389
normalized size 1 1.00 1.24 1.10 0.88 0.65 2.58 0.95 2.99
time (sec) N/A 0.140 0.779 0.181 0.322 0.598 9.999 0.843 6.711
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 113 82 72 146 82 80
normalized size 1 1.00 0.96 2.51 1.82 1.60 3.24 1.82 1.78
time (sec) N/A 0.047 0.151 0.171 0.438 0.694 5.778 0.713 4.472
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 141 121 91 72 226 89 277
normalized size 1 1.00 1.33 1.14 0.86 0.68 2.13 0.84 2.61
time (sec) N/A 0.124 0.408 0.125 0.536 0.853 3.722 1.068 6.532
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 65 21 20 57 70 20 53
normalized size 1 1.00 2.95 0.95 0.91 2.59 3.18 0.91 2.41
time (sec) N/A 0.025 0.027 0.073 0.320 0.761 1.114 0.828 0.056
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 41 69 43 45 0 128 36
normalized size 1 1.00 0.79 1.33 0.83 0.87 0.00 2.46 0.69
time (sec) N/A 0.047 0.029 0.135 0.387 0.661 0.000 0.900 0.053
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 55 87 68 101 0 91 138
normalized size 1 1.00 1.10 1.74 1.36 2.02 0.00 1.82 2.76
time (sec) N/A 0.136 0.034 0.220 0.415 0.685 0.000 0.545 4.776
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 59 128 33 51 0 92 35
normalized size 1 1.00 1.48 3.20 0.82 1.28 0.00 2.30 0.88
time (sec) N/A 0.052 0.042 0.224 1.105 0.603 0.000 0.499 4.521
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 28 120 78 99 0 38 55
normalized size 1 1.00 0.90 3.87 2.52 3.19 0.00 1.23 1.77
time (sec) N/A 0.085 0.025 0.263 0.477 0.668 0.000 1.518 4.592
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 35 146 28 30 0 63 18
normalized size 1 1.00 1.52 6.35 1.22 1.30 0.00 2.74 0.78
time (sec) N/A 0.040 0.232 0.240 0.664 0.529 0.000 0.702 0.066
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 110 171 103 149 0 86 135
normalized size 1 1.00 1.20 1.86 1.12 1.62 0.00 0.93 1.47
time (sec) N/A 0.093 0.018 0.261 0.427 0.523 0.000 0.821 4.694
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 67 238 96 185 0 90 81
normalized size 1 1.00 0.77 2.74 1.10 2.13 0.00 1.03 0.93
time (sec) N/A 0.072 0.103 0.246 0.397 0.636 0.000 0.557 4.536
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 134 217 122 112 0 138 228
normalized size 1 1.00 1.35 2.19 1.23 1.13 0.00 1.39 2.30
time (sec) N/A 0.083 0.012 0.271 0.477 0.535 0.000 0.519 4.865
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 58 513 173 149 558 219 134
normalized size 1 1.00 0.87 7.66 2.58 2.22 8.33 3.27 2.00
time (sec) N/A 0.084 0.416 0.182 0.610 0.791 127.889 1.959 0.179
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 211 535 339 150 1280 208 684
normalized size 1 1.00 0.74 1.87 1.19 0.52 4.48 0.73 2.39
time (sec) N/A 0.403 3.203 0.196 0.660 0.643 94.802 1.971 7.051
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 463 134 136 422 134 132
normalized size 1 1.00 0.96 10.29 2.98 3.02 9.38 2.98 2.93
time (sec) N/A 0.047 1.089 0.189 0.325 0.746 50.556 1.569 0.117
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 191 480 319 137 1018 174 572
normalized size 1 1.00 0.73 1.83 1.22 0.52 3.89 0.66 2.18
time (sec) N/A 0.374 1.494 0.141 0.377 0.744 37.274 1.503 7.258
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 147 21 20 122 148 20 118
normalized size 1 1.00 6.68 0.95 0.91 5.55 6.73 0.91 5.36
time (sec) N/A 0.024 0.090 0.079 0.660 0.699 19.839 0.901 4.746
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 95 149 109 114 0 288 109
normalized size 1 1.00 0.59 0.92 0.67 0.70 0.00 1.78 0.67
time (sec) N/A 0.077 0.170 0.167 0.626 0.710 0.000 0.954 4.648
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 55 389 331 231 0 231 513
normalized size 1 1.00 0.27 1.94 1.65 1.15 0.00 1.15 2.55
time (sec) N/A 0.342 0.062 0.382 0.671 0.679 0.000 1.901 8.733
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 111 345 97 130 0 275 97
normalized size 1 1.00 0.92 2.85 0.80 1.07 0.00 2.27 0.80
time (sec) N/A 0.094 0.270 0.279 0.310 0.681 0.000 0.938 4.623
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 59 478 311 247 0 200 437
normalized size 1 1.00 0.33 2.67 1.74 1.38 0.00 1.12 2.44
time (sec) N/A 0.319 0.052 0.418 0.639 0.706 0.000 0.890 9.129
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 73 503 95 139 0 243 96
normalized size 1 1.00 0.66 4.57 0.86 1.26 0.00 2.21 0.87
time (sec) N/A 0.091 0.444 0.279 0.348 0.642 0.000 0.815 4.602
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 141 245 258 50 1355 114 107
normalized size 1 1.00 1.93 3.36 3.53 0.68 18.56 1.56 1.47
time (sec) N/A 0.068 0.799 0.146 0.665 1.111 34.038 0.608 8.155
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 46 45 47 37 530 47 54
normalized size 1 1.00 0.98 0.96 1.00 0.79 11.28 1.00 1.15
time (sec) N/A 0.056 0.091 0.135 0.312 0.839 18.773 0.349 4.660
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 119 141 156 37 558 75 66
normalized size 1 1.00 2.43 2.88 3.18 0.76 11.39 1.53 1.35
time (sec) N/A 0.055 0.320 0.138 0.597 0.649 11.380 0.856 6.874
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 24 28 25 25 158 25 22
normalized size 1 1.00 0.75 0.88 0.78 0.78 4.94 0.78 0.69
time (sec) N/A 0.046 0.038 0.077 0.329 0.637 5.796 0.401 4.488
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 97 43 52 17 88 34 29
normalized size 1 1.00 5.11 2.26 2.74 0.89 4.63 1.79 1.53
time (sec) N/A 0.043 0.122 0.125 0.596 0.603 3.018 0.594 4.532
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 19 18 16 24 19 16
normalized size 1 1.00 1.00 1.19 1.12 1.00 1.50 1.19 1.00
time (sec) N/A 0.026 0.011 0.057 0.314 0.738 0.504 0.399 0.042
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 30 54 47 58 0 58 33
normalized size 1 1.00 0.81 1.46 1.27 1.57 0.00 1.57 0.89
time (sec) N/A 0.051 0.040 0.145 0.394 0.648 0.000 0.449 0.066
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 45 70 129 49 0 67 71
normalized size 1 1.00 1.07 1.67 3.07 1.17 0.00 1.60 1.69
time (sec) N/A 0.052 0.056 0.148 0.611 0.673 0.000 0.647 4.560
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 75 90 91 125 0 96 74
normalized size 1 1.00 0.97 1.17 1.18 1.62 0.00 1.25 0.96
time (sec) N/A 0.076 0.099 0.161 0.320 0.568 0.000 0.853 4.656
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 66 130 294 75 0 119 125
normalized size 1 1.00 1.06 2.10 4.74 1.21 0.00 1.92 2.02
time (sec) N/A 0.059 0.098 0.164 0.480 0.674 0.000 0.685 5.941
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 97 126 130 147 0 116 115
normalized size 1 1.00 0.81 1.05 1.08 1.22 0.00 0.97 0.96
time (sec) N/A 0.107 0.154 0.168 0.301 0.640 0.000 0.753 0.142
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 151 415 393 60 2531 179 172
normalized size 1 1.00 1.45 3.99 3.78 0.58 24.34 1.72 1.65
time (sec) N/A 0.112 1.116 0.225 0.629 0.808 148.509 0.802 8.223
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 46 45 47 47 1037 47 54
normalized size 1 1.00 0.98 0.96 1.00 1.00 22.06 1.00 1.15
time (sec) N/A 0.052 0.162 0.187 0.347 0.729 92.863 1.011 4.662
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 131 279 267 50 1243 127 65
normalized size 1 1.00 1.64 3.49 3.34 0.62 15.54 1.59 0.81
time (sec) N/A 0.100 0.509 0.179 0.725 0.596 58.826 0.647 4.746
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 34 19 35 37 394 35 32
normalized size 1 1.00 1.48 0.83 1.52 1.61 17.13 1.52 1.39
time (sec) N/A 0.043 0.063 0.167 0.332 0.688 37.355 1.971 4.610
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 109 142 140 35 403 73 32
normalized size 1 1.00 1.95 2.54 2.50 0.62 7.20 1.30 0.57
time (sec) N/A 0.085 0.176 0.189 0.489 0.730 22.409 0.362 4.653
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 26 33 30 27 150 54 27
normalized size 1 1.00 0.81 1.03 0.94 0.84 4.69 1.69 0.84
time (sec) N/A 0.049 0.033 0.176 0.349 0.639 1.788 0.425 0.060
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 104 41 56 61 95 33 28
normalized size 1 1.00 3.06 1.21 1.65 1.79 2.79 0.97 0.82
time (sec) N/A 0.043 0.184 0.200 0.762 0.863 6.925 0.488 4.641
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 31 21 20 21 32 20 18
normalized size 1 1.00 1.48 1.00 0.95 1.00 1.52 0.95 0.86
time (sec) N/A 0.026 0.066 0.073 0.304 0.624 1.121 0.425 0.048
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 38 72 72 105 0 71 60
normalized size 1 1.00 0.63 1.20 1.20 1.75 0.00 1.18 1.00
time (sec) N/A 0.058 0.097 0.185 0.808 0.742 0.000 0.748 4.519
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 53 98 204 79 0 93 156
normalized size 1 1.00 0.75 1.38 2.87 1.11 0.00 1.31 2.20
time (sec) N/A 0.093 0.075 0.192 0.424 0.636 0.000 0.381 4.770
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 85 108 108 178 0 106 93
normalized size 1 1.00 0.82 1.04 1.04 1.71 0.00 1.02 0.89
time (sec) N/A 0.082 0.115 0.232 0.368 0.731 0.000 0.806 0.103
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 78 158 396 103 0 145 276
normalized size 1 1.00 0.84 1.70 4.26 1.11 0.00 1.56 2.97
time (sec) N/A 0.098 0.057 0.233 0.778 0.692 0.000 0.784 5.184
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 137 144 167 198 0 126 151
normalized size 1 1.00 0.94 0.99 1.14 1.36 0.00 0.86 1.03
time (sec) N/A 0.110 0.333 0.233 0.373 0.851 0.000 0.536 0.186
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 141 313 310 60 0 140 81
normalized size 1 1.00 1.37 3.04 3.01 0.58 0.00 1.36 0.79
time (sec) N/A 0.109 1.076 0.214 0.774 0.539 0.000 0.388 4.721
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 44 19 45 45 654 45 53
normalized size 1 1.00 1.91 0.83 1.96 1.96 28.43 1.96 2.30
time (sec) N/A 0.043 0.160 0.178 0.449 0.550 161.609 0.745 4.548
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 121 177 184 45 690 88 57
normalized size 1 1.00 1.57 2.30 2.39 0.58 8.96 1.14 0.74
time (sec) N/A 0.100 0.465 0.203 0.466 0.613 108.266 0.424 4.638
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 38 49 41 36 564 115 36
normalized size 1 1.00 0.76 0.98 0.82 0.72 11.28 2.30 0.72
time (sec) N/A 0.050 0.055 0.185 0.309 0.732 64.192 2.669 4.560
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 59 64 139 78 478 80 69
normalized size 1 1.00 1.20 1.31 2.84 1.59 9.76 1.63 1.41
time (sec) N/A 0.085 0.044 0.214 0.589 0.542 40.794 2.084 4.852
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 58 37 37 41 299 35 36
normalized size 1 1.00 1.49 0.95 0.95 1.05 7.67 0.90 0.92
time (sec) N/A 0.051 0.059 0.199 0.368 0.796 1.947 1.252 4.543
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 28 55 99 95 153 36 53
normalized size 1 1.00 1.04 2.04 3.67 3.52 5.67 1.33 1.96
time (sec) N/A 0.039 0.019 0.223 0.427 0.472 15.149 0.553 4.580
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 33 21 20 36 51 20 18
normalized size 1 1.00 1.50 0.95 0.91 1.64 2.32 0.91 0.82
time (sec) N/A 0.025 0.059 0.070 0.384 0.704 1.893 2.911 4.460
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 61 90 98 154 0 81 83
normalized size 1 1.00 0.74 1.10 1.20 1.88 0.00 0.99 1.01
time (sec) N/A 0.063 0.088 0.213 0.501 0.818 0.000 1.442 4.595
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 63 130 310 106 0 119 228
normalized size 1 1.00 0.64 1.31 3.13 1.07 0.00 1.20 2.30
time (sec) N/A 0.135 0.109 0.219 0.455 0.816 0.000 0.476 5.079
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 95 126 146 228 0 116 129
normalized size 1 1.00 0.75 1.00 1.16 1.81 0.00 0.92 1.02
time (sec) N/A 0.095 0.166 0.260 0.326 0.613 0.000 0.744 0.149
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 85 190 482 130 0 171 167
normalized size 1 1.00 0.69 1.54 3.92 1.06 0.00 1.39 1.36
time (sec) N/A 0.145 0.114 0.268 0.444 0.617 0.000 0.749 5.563
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 145 162 188 248 0 136 173
normalized size 1 1.00 0.85 0.95 1.10 1.45 0.00 0.80 1.01
time (sec) N/A 0.128 0.519 0.270 0.603 0.841 0.000 0.705 4.765
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 275 146 295 244 0 99 91
normalized size 1 1.00 2.17 1.15 2.32 1.92 0.00 0.78 0.72
time (sec) N/A 0.182 6.081 0.283 0.641 0.757 0.000 1.179 7.770
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 28 55 74 82 2006 68 64
normalized size 1 1.00 0.78 1.53 2.06 2.28 55.72 1.89 1.78
time (sec) N/A 0.046 0.080 0.250 0.324 0.625 42.650 1.398 0.072
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 36 145 375 239 0 125 118
normalized size 1 1.00 0.62 2.50 6.47 4.12 0.00 2.16 2.03
time (sec) N/A 0.080 0.107 0.279 0.388 0.590 0.000 0.610 6.628
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 58 43 93 100 1120 137 54
normalized size 1 1.00 0.89 0.66 1.43 1.54 17.23 2.11 0.83
time (sec) N/A 0.059 0.129 0.253 0.315 0.654 42.110 1.443 4.712
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 58 175 461 291 0 151 140
normalized size 1 1.00 0.49 1.48 3.91 2.47 0.00 1.28 1.19
time (sec) N/A 0.168 0.090 0.300 0.425 0.690 0.000 0.596 7.148
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 33 96 105 493 28 28
normalized size 1 1.00 0.96 0.73 2.13 2.33 10.96 0.62 0.62
time (sec) N/A 0.053 0.173 0.266 0.320 0.615 41.537 0.586 0.097
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 78 205 547 339 0 177 162
normalized size 1 1.00 0.43 1.12 2.99 1.85 0.00 0.97 0.89
time (sec) N/A 0.272 0.130 0.302 0.521 0.731 0.000 0.782 8.117
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 33 21 20 108 128 20 18
normalized size 1 1.00 1.50 0.95 0.91 4.91 5.82 0.91 0.82
time (sec) N/A 0.025 0.229 0.095 0.308 0.582 42.269 0.491 4.668
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 122 180 213 374 0 131 198
normalized size 1 1.00 0.63 0.93 1.10 1.93 0.00 0.68 1.02
time (sec) N/A 0.112 0.833 0.294 0.323 0.520 0.000 0.470 0.303
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 113 280 740 225 0 249 233
normalized size 1 1.00 0.46 1.14 3.02 0.92 0.00 1.02 0.95
time (sec) N/A 0.404 0.402 0.264 0.596 0.765 0.000 1.524 8.035
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 175 216 248 446 0 166 231
normalized size 1 1.00 0.74 0.91 1.04 1.87 0.00 0.70 0.97
time (sec) N/A 0.171 1.830 0.341 0.537 0.837 0.000 0.574 0.489
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 125 340 866 249 0 301 277
normalized size 1 1.00 0.45 1.22 3.10 0.89 0.00 1.08 0.99
time (sec) N/A 0.419 0.433 0.350 0.628 0.857 0.000 1.051 9.231
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 195 252 305 466 0 186 290
normalized size 1 1.00 0.69 0.89 1.07 1.64 0.00 0.65 1.02
time (sec) N/A 0.216 2.610 0.361 0.978 0.949 0.000 0.624 0.798
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 74 57 72 88 0 249 -1
normalized size 1 1.00 0.76 0.59 0.74 0.91 0.00 2.57 -0.01
time (sec) N/A 0.083 4.324 0.198 0.376 0.641 0.000 2.627 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 99 75 0 172 0 219 -1
normalized size 1 1.00 0.78 0.59 0.00 1.35 0.00 1.72 -0.01
time (sec) N/A 0.258 3.943 0.200 0.000 0.670 0.000 1.119 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 64 41 55 68 0 189 -1
normalized size 1 1.00 0.88 0.56 0.75 0.93 0.00 2.59 -0.01
time (sec) N/A 0.073 1.025 0.161 0.305 0.568 0.000 1.696 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 89 65 0 132 0 159 -1
normalized size 1 1.00 0.94 0.68 0.00 1.39 0.00 1.67 -0.01
time (sec) N/A 0.179 0.768 0.197 0.000 0.630 0.000 1.094 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 54 31 38 46 0 129 -1
normalized size 1 1.00 1.10 0.63 0.78 0.94 0.00 2.63 -0.02
time (sec) N/A 0.065 0.231 0.150 0.440 0.784 0.000 0.690 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 79 55 0 92 0 99 -1
normalized size 1 1.00 1.25 0.87 0.00 1.46 0.00 1.57 -0.02
time (sec) N/A 0.111 0.170 0.181 0.000 0.646 0.000 0.398 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 44 21 20 25 58 68 20
normalized size 1 1.00 1.83 0.88 0.83 1.04 2.42 2.83 0.83
time (sec) N/A 0.033 0.083 0.041 0.667 0.632 0.679 0.920 4.566
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 95 32 58 92 0 0 -1
normalized size 1 1.00 2.38 0.80 1.45 2.30 0.00 0.00 -0.02
time (sec) N/A 0.060 0.101 0.099 0.938 0.589 0.000 0.000 0.000
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 106 83 0 159 0 102 -1
normalized size 1 1.00 1.47 1.15 0.00 2.21 0.00 1.42 -0.01
time (sec) N/A 0.079 0.231 0.232 0.000 0.548 0.000 0.523 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 271 90 117 99 0 282 -1
normalized size 1 1.00 2.85 0.95 1.23 1.04 0.00 2.97 -0.01
time (sec) N/A 0.123 0.378 0.263 0.600 0.614 0.000 0.871 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 302 153 0 188 0 178 -1
normalized size 1 1.00 2.20 1.12 0.00 1.37 0.00 1.30 -0.01
time (sec) N/A 0.159 0.418 0.243 0.000 0.695 0.000 0.773 0.000
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 149 149 179 118 168 121 0 442 -1
normalized size 1 1.00 1.20 0.79 1.13 0.81 0.00 2.97 -0.01
time (sec) N/A 0.203 0.489 0.334 1.006 0.798 0.000 2.747 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 191 244 0 210 0 239 -1
normalized size 1 1.00 0.97 1.24 0.00 1.07 0.00 1.21 -0.01
time (sec) N/A 0.294 0.645 0.349 0.000 0.617 0.000 2.531 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 61 57 72 110 0 505 -1
normalized size 1 1.00 0.63 0.59 0.74 1.13 0.00 5.21 -0.01
time (sec) N/A 0.086 0.450 0.175 0.331 0.564 0.000 1.114 0.000
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 79 87 0 210 0 474 -1
normalized size 1 1.00 0.50 0.55 0.00 1.32 0.00 2.98 -0.01
time (sec) N/A 0.302 0.656 0.206 0.000 0.571 0.000 1.340 0.000
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 51 41 55 88 0 381 -1
normalized size 1 1.00 0.70 0.56 0.75 1.21 0.00 5.22 -0.01
time (sec) N/A 0.076 0.170 0.166 0.321 0.640 0.000 1.025 0.000
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 69 77 0 166 0 350 -1
normalized size 1 1.00 0.54 0.61 0.00 1.31 0.00 2.76 -0.01
time (sec) N/A 0.235 0.161 0.185 0.000 0.476 0.000 1.185 0.000
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 41 31 38 66 252 257 -1
normalized size 1 1.00 0.84 0.63 0.78 1.35 5.14 5.24 -0.02
time (sec) N/A 0.068 0.087 0.150 0.316 0.695 127.617 0.704 0.000
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 59 67 0 122 0 226 -1
normalized size 1 1.00 0.62 0.71 0.00 1.28 0.00 2.38 -0.01
time (sec) N/A 0.167 0.150 0.266 0.000 0.646 0.000 0.636 0.000
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 40 90 133 20
normalized size 1 1.00 1.00 0.88 0.83 1.67 3.75 5.54 0.83
time (sec) N/A 0.034 0.042 0.042 1.512 0.720 29.542 0.395 4.624
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 60 49 80 72 0 1021 -1
normalized size 1 1.00 0.97 0.79 1.29 1.16 0.00 16.47 -0.02
time (sec) N/A 0.068 0.105 0.137 0.929 0.695 0.000 12.200 0.000
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 67 37 98 26 0 3663 37
normalized size 1 1.00 2.58 1.42 3.77 1.00 0.00 140.88 1.42
time (sec) N/A 0.058 0.159 0.138 2.507 0.647 0.000 155.910 4.773
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 72 70 94 99 0 0 -1
normalized size 1 1.00 0.99 0.96 1.29 1.36 0.00 0.00 -0.01
time (sec) N/A 0.112 0.259 0.191 1.407 0.605 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 130 107 0 215 0 0 -1
normalized size 1 1.00 1.21 1.00 0.00 2.01 0.00 0.00 -0.01
time (sec) N/A 0.135 0.395 0.234 0.000 0.638 0.000 0.000 0.000
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 44 101 151 155 0 0 -1
normalized size 1 1.00 0.35 0.80 1.19 1.22 0.00 0.00 -0.01
time (sec) N/A 0.181 0.074 0.329 0.608 0.765 0.000 0.000 0.000
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 288 172 0 248 0 0 -1
normalized size 1 1.00 1.70 1.02 0.00 1.47 0.00 0.00 -0.01
time (sec) N/A 0.221 0.428 0.253 0.000 0.766 0.000 0.000 0.000
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 51 41 55 114 0 471 -1
normalized size 1 1.00 0.70 0.56 0.75 1.56 0.00 6.45 -0.01
time (sec) N/A 0.074 0.224 0.165 0.520 0.756 0.000 2.765 0.000
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 79 87 0 219 0 438 -1
normalized size 1 1.00 0.50 0.55 0.00 1.38 0.00 2.75 -0.01
time (sec) N/A 0.293 0.332 0.190 0.000 0.616 0.000 1.392 0.000
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 41 31 38 88 0 339 -1
normalized size 1 1.00 0.84 0.63 0.78 1.80 0.00 6.92 -0.02
time (sec) N/A 0.067 0.141 0.161 0.474 0.776 0.000 4.542 0.000
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 69 77 0 167 0 306 -1
normalized size 1 1.00 0.54 0.61 0.00 1.31 0.00 2.41 -0.01
time (sec) N/A 0.224 0.309 0.198 0.000 0.608 0.000 1.368 0.000
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 61 0 207 20
normalized size 1 1.00 1.00 0.88 0.83 2.54 0.00 8.62 0.83
time (sec) N/A 0.034 0.066 0.044 0.565 0.727 0.000 0.555 4.782
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 73 66 97 89 0 0 -1
normalized size 1 1.00 0.85 0.77 1.13 1.03 0.00 0.00 -0.01
time (sec) N/A 0.075 0.204 0.167 0.519 0.572 0.000 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 36 45 191 41 0 6622 88
normalized size 1 1.00 0.65 0.82 3.47 0.75 0.00 120.40 1.60
time (sec) N/A 0.117 4.617 0.168 1.075 0.734 0.000 54.374 5.460
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 75 66 94 102 0 0 -1
normalized size 1 1.00 1.09 0.96 1.36 1.48 0.00 0.00 -0.01
time (sec) N/A 0.110 0.459 0.197 0.532 0.683 0.000 0.000 0.000
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 69 47 184 43 0 0 225
normalized size 1 1.00 2.30 1.57 6.13 1.43 0.00 0.00 7.50
time (sec) N/A 0.059 5.159 0.163 0.518 0.837 0.000 0.000 7.589
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 110 107 134 147 0 0 -1
normalized size 1 1.00 1.07 1.04 1.30 1.43 0.00 0.00 -0.01
time (sec) N/A 0.172 0.286 0.262 0.421 0.615 0.000 0.000 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 129 120 0 263 0 0 -1
normalized size 1 1.00 0.93 0.86 0.00 1.89 0.00 0.00 -0.01
time (sec) N/A 0.197 5.307 0.300 0.000 0.664 0.000 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 44 113 185 208 0 0 -1
normalized size 1 1.00 0.28 0.71 1.16 1.31 0.00 0.00 -0.01
time (sec) N/A 0.242 0.109 0.500 0.730 0.680 0.000 0.000 0.000
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 64 57 72 154 0 669 -1
normalized size 1 1.00 0.66 0.59 0.74 1.59 0.00 6.90 -0.01
time (sec) N/A 0.079 0.634 0.220 0.837 0.775 0.000 6.140 0.000
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 102 107 0 296 0 636 -1
normalized size 1 1.00 0.46 0.48 0.00 1.33 0.00 2.85 -0.00
time (sec) N/A 0.430 0.547 0.232 0.000 0.658 0.000 8.968 0.000
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 54 41 55 128 0 537 -1
normalized size 1 1.00 0.74 0.56 0.75 1.75 0.00 7.36 -0.01
time (sec) N/A 0.075 0.305 0.171 0.324 0.840 0.000 3.130 0.000
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 92 97 0 244 0 504 -1
normalized size 1 1.00 0.48 0.51 0.00 1.28 0.00 2.64 -0.01
time (sec) N/A 0.365 0.259 0.203 0.000 0.698 0.000 2.281 0.000
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 44 31 38 102 0 405 -1
normalized size 1 1.00 0.90 0.63 0.78 2.08 0.00 8.27 -0.02
time (sec) N/A 0.066 0.147 0.156 0.403 0.636 0.000 2.375 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 82 87 0 192 0 372 -1
normalized size 1 1.00 0.52 0.55 0.00 1.21 0.00 2.34 -0.01
time (sec) N/A 0.292 0.229 0.202 0.000 0.450 0.000 1.850 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 74 0 273 20
normalized size 1 1.00 1.00 0.88 0.83 3.08 0.00 11.38 0.83
time (sec) N/A 0.033 0.086 0.040 0.517 0.578 0.000 0.974 4.844
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 85 83 115 102 0 0 -1
normalized size 1 1.00 0.77 0.75 1.05 0.93 0.00 0.00 -0.01
time (sec) N/A 0.085 0.345 0.168 0.812 0.737 0.000 0.000 0.000
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 48 55 237 54 0 0 -1
normalized size 1 1.00 0.54 0.62 2.66 0.61 0.00 0.00 -0.01
time (sec) N/A 0.174 5.485 0.175 0.547 0.726 0.000 0.000 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 42 83 112 116 0 0 -1
normalized size 1 1.00 0.46 0.91 1.23 1.27 0.00 0.00 -0.01
time (sec) N/A 0.127 0.097 0.266 0.482 0.725 0.000 0.000 0.000
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 82 57 320 57 0 0 118
normalized size 1 1.00 1.34 0.93 5.25 0.93 0.00 0.00 1.93
time (sec) N/A 0.113 5.299 0.192 0.598 0.708 0.000 0.000 8.531
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 108 75 132 145 0 0 -1
normalized size 1 1.00 1.02 0.71 1.25 1.37 0.00 0.00 -0.01
time (sec) N/A 0.171 0.294 0.276 0.426 0.781 0.000 0.000 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 69 47 270 54 0 0 86
normalized size 1 1.00 2.30 1.57 9.00 1.80 0.00 0.00 2.87
time (sec) N/A 0.057 5.272 0.178 0.533 0.678 0.000 0.000 8.427
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 120 144 168 193 0 0 -1
normalized size 1 1.00 0.89 1.07 1.24 1.43 0.00 0.00 -0.01
time (sec) N/A 0.232 0.555 0.352 0.464 0.642 0.000 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 139 139 0 312 0 0 -1
normalized size 1 1.00 0.81 0.81 0.00 1.82 0.00 0.00 -0.01
time (sec) N/A 0.268 5.497 0.238 0.000 0.652 0.000 0.000 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 44 129 219 254 0 0 -1
normalized size 1 1.00 0.23 0.68 1.15 1.33 0.00 0.00 -0.01
time (sec) N/A 0.312 0.108 0.416 0.451 0.556 0.000 0.000 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 388 205 0 346 0 0 -1
normalized size 1 1.00 1.67 0.88 0.00 1.48 0.00 0.00 -0.00
time (sec) N/A 0.354 5.678 0.276 0.000 0.723 0.000 0.000 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 61 57 281 82 0 430 -1
normalized size 1 1.00 0.63 0.59 2.90 0.85 0.00 4.43 -0.01
time (sec) N/A 0.076 0.298 0.158 0.409 0.693 0.000 2.699 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 59 64 0 155 0 402 -1
normalized size 1 1.00 0.62 0.67 0.00 1.63 0.00 4.23 -0.01
time (sec) N/A 0.170 0.258 0.199 0.000 0.617 0.000 4.623 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 51 41 160 62 0 310 -1
normalized size 1 1.00 0.70 0.56 2.19 0.85 0.00 4.25 -0.01
time (sec) N/A 0.067 0.142 0.154 0.717 0.811 0.000 1.588 0.000
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 49 54 0 115 0 278 -1
normalized size 1 1.00 0.78 0.86 0.00 1.83 0.00 4.41 -0.02
time (sec) N/A 0.111 0.071 0.176 0.000 0.684 0.000 1.925 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 34 31 75 40 0 75 -1
normalized size 1 1.00 0.69 0.63 1.53 0.82 0.00 1.53 -0.02
time (sec) N/A 0.063 0.062 0.142 0.531 0.679 0.000 1.164 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 44 0 71 0 143 -1
normalized size 1 1.00 1.00 1.47 0.00 2.37 0.00 4.77 -0.03
time (sec) N/A 0.051 0.068 0.188 0.000 0.781 0.000 1.098 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 20 32 20 20
normalized size 1 1.00 1.00 0.95 0.91 0.91 1.45 0.91 0.91
time (sec) N/A 0.030 0.026 0.026 0.551 0.667 1.212 0.845 4.824
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 39 54 78 90 0 211 -1
normalized size 1 1.00 0.65 0.90 1.30 1.50 0.00 3.52 -0.02
time (sec) N/A 0.062 0.050 0.148 1.247 0.592 0.000 1.437 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 118 130 0 200 0 419 -1
normalized size 1 1.00 1.16 1.27 0.00 1.96 0.00 4.11 -0.01
time (sec) N/A 0.093 0.263 0.204 0.000 0.684 0.000 2.319 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 42 107 132 145 0 587 -1
normalized size 1 1.00 0.36 0.92 1.14 1.25 0.00 5.06 -0.01
time (sec) N/A 0.133 0.072 0.267 0.745 0.588 0.000 2.812 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 117 231 0 230 0 745 -1
normalized size 1 1.00 0.72 1.43 0.00 1.42 0.00 4.60 -0.01
time (sec) N/A 0.218 0.635 0.245 0.000 0.843 0.000 4.085 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 44 135 183 167 0 0 -1
normalized size 1 1.00 0.25 0.77 1.05 0.95 0.00 0.00 -0.01
time (sec) N/A 0.263 0.082 0.346 0.814 0.597 0.000 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 140 308 0 250 0 0 -1
normalized size 1 1.00 0.63 1.39 0.00 1.13 0.00 0.00 -0.00
time (sec) N/A 0.357 0.718 0.276 0.000 0.564 0.000 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 54 57 72 72 0 370 -1
normalized size 1 1.00 0.56 0.59 0.74 0.74 0.00 3.81 -0.01
time (sec) N/A 0.082 0.239 0.156 0.310 0.565 0.000 2.564 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 49 57 0 142 0 340 -1
normalized size 1 1.00 0.78 0.90 0.00 2.25 0.00 5.40 -0.02
time (sec) N/A 0.116 0.198 0.195 0.000 0.758 0.000 1.716 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 44 41 55 52 0 250 -1
normalized size 1 1.00 0.60 0.56 0.75 0.71 0.00 3.42 -0.01
time (sec) N/A 0.075 0.098 0.156 0.411 0.727 0.000 2.209 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 42 47 0 98 0 199 -1
normalized size 1 1.00 1.40 1.57 0.00 3.27 0.00 6.63 -0.03
time (sec) N/A 0.058 0.061 0.168 0.000 0.706 0.000 1.735 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 32 29 36 28 0 56 -1
normalized size 1 1.00 0.68 0.62 0.77 0.60 0.00 1.19 -0.02
time (sec) N/A 0.067 0.053 0.132 0.376 0.552 0.000 1.678 0.000
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 84 94 0 196 0 190 -1
normalized size 1 1.00 1.11 1.24 0.00 2.58 0.00 2.50 -0.01
time (sec) N/A 0.081 0.150 0.213 0.000 0.846 0.000 1.933 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 33 56 20 50
normalized size 1 1.00 1.00 0.95 0.91 1.50 2.55 0.91 2.27
time (sec) N/A 0.034 0.032 0.023 0.459 0.567 3.461 1.882 4.876
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 41 71 91 132 0 379 -1
normalized size 1 1.00 0.46 0.80 1.02 1.48 0.00 4.26 -0.01
time (sec) N/A 0.077 0.070 0.172 0.709 0.586 0.000 2.049 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 224 202 0 240 0 591 -1
normalized size 1 1.00 1.67 1.51 0.00 1.79 0.00 4.41 -0.01
time (sec) N/A 0.162 0.315 0.247 0.000 0.696 0.000 2.655 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 42 124 146 187 0 0 -1
normalized size 1 1.00 0.28 0.83 0.97 1.25 0.00 0.00 -0.01
time (sec) N/A 0.202 0.077 0.270 0.751 0.807 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 334 289 0 270 0 914 -1
normalized size 1 1.00 1.71 1.48 0.00 1.38 0.00 4.69 -0.01
time (sec) N/A 0.291 0.346 0.310 0.000 0.789 0.000 9.618 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 44 152 197 207 0 1076 -1
normalized size 1 1.00 0.21 0.72 0.93 0.98 0.00 5.10 -0.00
time (sec) N/A 0.343 0.092 0.363 0.463 0.597 0.000 7.406 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 444 367 0 290 0 0 -1
normalized size 1 1.00 1.73 1.43 0.00 1.13 0.00 0.00 -0.00
time (sec) N/A 0.429 1.509 0.292 0.000 0.637 0.000 0.000 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 59 67 0 201 0 526 -1
normalized size 1 1.00 0.62 0.71 0.00 2.12 0.00 5.54 -0.01
time (sec) N/A 0.195 0.770 0.204 0.000 0.773 0.000 2.360 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 64 67 89 82 0 430 -1
normalized size 1 1.00 0.53 0.55 0.74 0.68 0.00 3.55 -0.01
time (sec) N/A 0.090 0.290 0.166 0.666 0.531 0.000 2.949 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 49 57 0 161 0 402 -1
normalized size 1 1.00 0.78 0.90 0.00 2.56 0.00 6.38 -0.02
time (sec) N/A 0.119 0.354 0.208 0.000 0.760 0.000 3.162 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 54 57 72 62 0 310 -1
normalized size 1 1.00 0.56 0.59 0.74 0.64 0.00 3.20 -0.01
time (sec) N/A 0.083 0.188 0.170 1.311 0.608 0.000 10.721 0.000
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 42 47 0 117 0 255 -1
normalized size 1 1.00 1.40 1.57 0.00 3.90 0.00 8.50 -0.03
time (sec) N/A 0.057 0.109 0.162 0.000 0.645 0.000 5.637 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 44 41 55 40 0 172 -1
normalized size 1 1.00 0.62 0.58 0.77 0.56 0.00 2.42 -0.01
time (sec) N/A 0.075 0.072 0.368 0.325 0.670 0.000 5.243 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 96 112 0 215 0 255 -1
normalized size 1 1.00 0.89 1.04 0.00 1.99 0.00 2.36 -0.01
time (sec) N/A 0.144 0.184 0.234 0.000 0.682 0.000 3.119 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 30 29 42 41 267 39 -1
normalized size 1 1.00 0.67 0.64 0.93 0.91 5.93 0.87 -0.02
time (sec) N/A 0.068 0.061 0.134 1.156 0.829 26.903 1.446 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 100 123 0 252 0 293 -1
normalized size 1 1.00 1.33 1.64 0.00 3.36 0.00 3.91 -0.01
time (sec) N/A 0.082 0.246 0.212 0.000 0.649 0.000 1.632 0.000
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 48 65 20 72
normalized size 1 1.00 1.00 0.88 0.83 2.00 2.71 0.83 3.00
time (sec) N/A 0.035 0.047 0.025 0.614 0.774 25.471 1.429 7.521
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 41 88 114 169 0 0 -1
normalized size 1 1.00 0.36 0.78 1.01 1.50 0.00 0.00 -0.01
time (sec) N/A 0.089 0.090 0.169 1.433 0.739 0.000 0.000 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 284 266 0 280 0 751 -1
normalized size 1 1.00 1.70 1.59 0.00 1.68 0.00 4.50 -0.01
time (sec) N/A 0.230 0.457 0.236 0.000 0.715 0.000 5.626 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 42 141 167 225 0 916 -1
normalized size 1 1.00 0.23 0.76 0.90 1.22 0.00 4.95 -0.01
time (sec) N/A 0.275 0.093 0.296 1.226 0.570 0.000 11.917 0.000
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-1) A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 394 355 0 308 0 1074 -1
normalized size 1 1.00 1.69 1.52 0.00 1.32 0.00 4.61 -0.00
time (sec) N/A 0.364 0.552 0.289 0.000 0.750 0.000 9.341 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 98 249 0 0 0 0 -1
normalized size 1 1.00 0.79 2.01 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.084 0.630 0.662 0.000 0.606 0.000 0.000 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 264 214 0 0 0 0 -1
normalized size 1 1.00 2.78 2.25 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.067 2.838 0.643 0.000 0.815 0.000 0.000 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 75 179 0 0 0 0 -1
normalized size 1 1.00 0.79 1.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.377 0.615 0.000 0.708 0.000 0.000 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 260 120 0 0 0 0 -1
normalized size 1 1.00 4.13 1.90 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 1.061 0.601 0.000 0.654 0.000 0.000 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 48 103 0 0 0 0 45
normalized size 1 1.00 0.79 1.69 0.00 0.00 0.00 0.00 0.74
time (sec) N/A 0.046 22.316 0.384 0.000 0.529 0.000 0.000 0.546
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 188 117 0 0 0 0 -1
normalized size 1 1.00 2.07 1.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.068 0.979 0.779 0.000 0.667 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 86 189 0 0 0 0 -1
normalized size 1 1.00 0.89 1.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.461 0.883 0.000 0.592 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 144 304 0 0 0 0 -1
normalized size 1 1.00 1.14 2.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 1.275 1.402 0.000 0.699 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 66 295 0 0 0 0 -1
normalized size 1 1.00 0.39 1.76 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.144 0.109 0.750 0.000 0.829 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 66 260 0 0 0 0 -1
normalized size 1 1.00 0.48 1.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.122 0.118 0.864 0.000 0.910 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 66 203 0 0 0 0 -1
normalized size 1 1.00 0.48 1.48 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.125 0.079 0.747 0.000 0.604 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 66 188 0 0 0 0 -1
normalized size 1 1.00 0.63 1.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.092 0.046 0.789 0.000 0.758 0.000 0.000 0.000
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 64 152 0 0 0 0 -1
normalized size 1 1.00 0.61 1.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.035 0.571 0.000 0.758 0.000 0.000 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 64 120 0 0 0 0 -1
normalized size 1 1.00 0.75 1.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.132 0.065 0.813 0.000 0.596 0.000 0.000 0.000
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 66 193 0 0 0 0 -1
normalized size 1 1.00 0.74 2.17 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.129 0.068 1.041 0.000 0.890 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 66 305 0 0 0 0 -1
normalized size 1 1.00 0.52 2.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.181 0.086 1.380 0.000 0.581 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 66 375 0 0 0 0 -1
normalized size 1 1.00 0.58 3.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 0.115 1.591 0.000 0.692 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 66 488 0 0 0 0 -1
normalized size 1 1.00 0.46 3.37 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.112 0.156 2.438 0.000 0.693 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 66 321 0 0 0 0 -1
normalized size 1 1.00 0.33 1.58 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.211 0.078 0.941 0.000 0.625 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 66 264 0 0 0 0 -1
normalized size 1 1.00 0.39 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.189 0.107 1.029 0.000 0.711 0.000 0.000 0.000
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 66 251 0 0 0 0 -1
normalized size 1 1.00 0.38 1.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.188 0.073 1.265 0.000 0.754 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 66 214 0 0 0 0 -1
normalized size 1 1.00 0.47 1.53 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.147 0.046 0.847 0.000 0.729 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 64 178 0 0 0 0 -1
normalized size 1 1.00 0.47 1.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.147 0.036 0.767 0.000 0.633 0.000 0.000 0.000
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 64 146 0 0 0 0 -1
normalized size 1 1.00 0.60 1.38 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.198 0.057 1.182 0.000 0.590 0.000 0.000 0.000
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 66 219 0 0 0 0 -1
normalized size 1 1.00 0.60 1.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.054 1.266 0.000 0.638 0.000 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 66 332 0 0 0 0 -1
normalized size 1 1.00 0.52 2.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.088 1.884 0.000 0.753 0.000 0.000 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 66 401 0 0 0 0 -1
normalized size 1 1.00 0.52 3.16 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.198 0.087 2.002 0.000 0.807 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 66 514 0 0 0 0 -1
normalized size 1 1.00 0.40 3.12 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.243 0.127 2.684 0.000 0.545 0.000 0.000 0.000
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 66 295 0 0 0 0 -1
normalized size 1 1.00 0.31 1.40 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.248 0.113 0.938 0.000 0.777 0.000 0.000 0.000
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 66 258 0 0 0 0 -1
normalized size 1 1.00 0.37 1.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.201 0.065 0.982 0.000 0.862 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 64 222 0 0 0 0 -1
normalized size 1 1.00 0.36 1.25 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.213 0.058 0.863 0.000 0.771 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 64 190 0 0 0 0 -1
normalized size 1 1.00 0.41 1.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.234 0.073 1.146 0.000 0.787 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 66 263 0 0 0 0 -1
normalized size 1 1.00 0.43 1.73 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.224 0.078 1.282 0.000 0.714 0.000 0.000 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 66 332 0 0 0 0 -1
normalized size 1 1.00 0.52 2.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.199 0.101 1.795 0.000 0.709 0.000 0.000 0.000
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 66 401 0 0 0 0 -1
normalized size 1 1.00 0.52 3.16 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.198 0.110 2.001 0.000 0.885 0.000 0.000 0.000
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 66 514 0 0 0 0 -1
normalized size 1 1.00 0.39 3.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.250 0.140 2.935 0.000 0.584 0.000 0.000 0.000
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 66 583 0 0 0 0 -1
normalized size 1 1.00 0.39 3.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.259 0.244 3.241 0.000 0.713 0.000 0.000 0.000
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 66 251 0 0 0 0 -1
normalized size 1 1.00 0.50 1.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 0.143 0.888 0.000 0.699 0.000 0.000 0.000
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 66 216 0 0 0 0 -1
normalized size 1 1.00 0.65 2.14 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.098 0.793 0.000 0.881 0.000 0.000 0.000
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 66 181 0 0 0 0 -1
normalized size 1 1.00 0.65 1.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.073 1.086 0.000 0.517 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 66 122 0 0 0 0 -1
normalized size 1 1.00 0.97 1.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.075 0.099 0.711 0.000 0.718 0.000 0.000 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 66 110 0 0 0 0 -1
normalized size 1 1.00 1.00 1.67 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.076 0.076 0.517 0.000 0.711 0.000 0.000 0.000
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 66 115 0 0 0 0 -1
normalized size 1 1.00 0.89 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.068 0.042 1.143 0.000 0.679 0.000 0.000 0.000
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 64 190 0 0 0 0 -1
normalized size 1 1.00 0.82 2.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.072 0.039 1.479 0.000 0.781 0.000 0.000 0.000
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 63 304 0 0 0 0 -1
normalized size 1 1.00 0.56 2.71 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 0.058 2.003 0.000 0.706 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 66 375 0 0 0 0 -1
normalized size 1 1.00 0.59 3.35 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.094 0.076 2.248 0.000 0.878 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 66 488 0 0 0 0 -1
normalized size 1 1.00 0.46 3.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.114 0.102 2.719 0.000 0.689 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 66 203 0 0 0 0 -1
normalized size 1 1.00 0.46 1.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.110 0.178 0.921 0.000 0.849 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 66 190 0 0 0 0 -1
normalized size 1 1.00 0.58 1.67 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.092 0.101 1.001 0.000 0.717 0.000 0.000 0.000
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 66 155 0 0 0 0 -1
normalized size 1 1.00 0.59 1.38 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 0.075 0.755 0.000 0.586 0.000 0.000 0.000
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 66 120 0 0 0 0 -1
normalized size 1 1.00 0.84 1.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.078 0.095 1.152 0.000 0.848 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 66 193 0 0 0 0 -1
normalized size 1 1.00 0.80 2.33 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.075 0.077 1.395 0.000 0.624 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 66 303 0 0 0 0 -1
normalized size 1 1.00 0.57 2.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.119 0.042 2.172 0.000 0.720 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 64 372 0 0 0 0 -1
normalized size 1 1.00 0.55 3.21 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.127 0.043 2.245 0.000 0.773 0.000 0.000 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 66 488 0 0 0 0 -1
normalized size 1 1.00 0.44 3.25 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 0.073 3.078 0.000 0.741 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 66 557 0 0 0 0 -1
normalized size 1 1.00 0.44 3.71 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.162 0.076 3.652 0.000 0.776 0.000 0.000 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 66 670 0 0 0 0 -1
normalized size 1 1.00 0.36 3.70 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.183 0.112 4.586 0.000 0.593 0.000 0.000 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 66 251 0 0 0 0 -1
normalized size 1 1.00 0.39 1.49 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.179 0.395 1.191 0.000 0.749 0.000 0.000 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 66 216 0 0 0 0 -1
normalized size 1 1.00 0.48 1.57 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.152 0.237 1.104 0.000 0.983 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 66 181 0 0 0 0 -1
normalized size 1 1.00 0.50 1.37 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.151 0.164 0.927 0.000 0.687 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 66 146 0 0 0 0 -1
normalized size 1 1.00 0.64 1.42 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.155 0.104 1.262 0.000 0.638 0.000 0.000 0.000
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 66 219 0 0 0 0 -1
normalized size 1 1.00 0.62 2.05 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.136 0.081 1.369 0.000 0.734 0.000 0.000 0.000
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 66 330 0 0 0 0 -1
normalized size 1 1.00 0.56 2.80 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.131 0.081 2.142 0.000 0.661 0.000 0.000 0.000
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 66 401 0 0 0 0 -1
normalized size 1 1.00 0.56 3.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.076 2.316 0.000 0.549 0.000 0.000 0.000
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 66 512 0 0 0 0 -1
normalized size 1 1.00 0.43 3.35 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.173 0.043 3.409 0.000 0.658 0.000 0.000 0.000
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 66 580 0 0 0 0 -1
normalized size 1 1.00 0.43 3.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.184 0.049 3.991 0.000 0.762 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 66 696 0 0 0 0 -1
normalized size 1 1.00 0.35 3.72 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.225 0.064 4.732 0.000 0.624 0.000 0.000 0.000
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 66 225 0 0 0 0 -1
normalized size 1 1.00 0.37 1.25 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.175 0.322 1.081 0.000 0.785 0.000 0.000 0.000
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 66 190 0 0 0 0 -1
normalized size 1 1.00 0.44 1.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.153 0.189 1.653 0.000 0.667 0.000 0.000 0.000
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 66 263 0 0 0 0 -1
normalized size 1 1.00 0.46 1.81 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.152 0.165 1.683 0.000 0.689 0.000 0.000 0.000
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 66 332 0 0 0 0 -1
normalized size 1 1.00 0.55 2.77 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.094 2.471 0.000 0.722 0.000 0.000 0.000
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 66 401 0 0 0 0 -1
normalized size 1 1.00 0.55 3.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.081 2.692 0.000 0.600 0.000 0.000 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 66 514 0 0 0 0 -1
normalized size 1 1.00 0.43 3.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.182 0.088 3.403 0.000 0.603 0.000 0.000 0.000
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 66 583 0 0 0 0 -1
normalized size 1 1.00 0.43 3.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.185 0.071 4.367 0.000 0.862 0.000 0.000 0.000
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 66 694 0 0 0 0 -1
normalized size 1 1.00 0.35 3.63 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.228 0.046 5.337 0.000 0.658 0.000 0.000 0.000
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 66 762 0 0 0 0 -1
normalized size 1 1.00 0.35 3.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.242 0.058 5.291 0.000 0.722 0.000 0.000 0.000
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 66 878 0 0 0 0 -1
normalized size 1 1.00 0.29 3.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.299 0.088 6.760 0.000 0.722 0.000 0.000 0.000
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 269 241 0 0 0 0 -1
normalized size 1 1.00 1.14 1.02 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.357 0.955 0.350 0.000 0.000 0.000 0.000 0.000
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 195 213 0 0 0 0 -1
normalized size 1 1.00 1.01 1.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.270 0.740 0.271 0.000 0.000 0.000 0.000 0.000
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 108 142 0 0 0 0 -1
normalized size 1 1.00 0.67 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 0.472 0.190 0.000 0.000 0.000 0.000 0.000
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 34 131 38 0 0 30
normalized size 1 1.00 1.00 1.00 3.85 1.12 0.00 0.00 0.88
time (sec) N/A 0.068 0.113 0.206 0.965 0.936 0.000 0.000 5.311
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 46 44 206 48 0 0 61
normalized size 1 1.00 0.62 0.59 2.78 0.65 0.00 0.00 0.82
time (sec) N/A 0.146 0.250 0.211 0.970 0.886 0.000 0.000 5.666
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 56 54 282 58 0 0 97
normalized size 1 1.00 0.49 0.47 2.45 0.50 0.00 0.00 0.84
time (sec) N/A 0.224 0.344 0.211 0.983 1.076 0.000 0.000 6.060
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 74 70 357 70 0 0 129
normalized size 1 1.00 0.48 0.45 2.32 0.45 0.00 0.00 0.84
time (sec) N/A 0.307 0.796 0.228 0.983 0.755 0.000 0.000 7.243
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 319 78 314 0 0 0 0 -1
normalized size 1 1.00 0.24 0.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.564 0.168 0.340 0.000 0.000 0.000 0.000 0.000
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 278 278 78 288 0 0 0 0 -1
normalized size 1 1.00 0.28 1.04 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.475 0.132 0.326 0.000 0.000 0.000 0.000 0.000
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 77 262 0 0 0 0 -1
normalized size 1 1.00 0.32 1.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.358 0.121 0.298 0.000 0.000 0.000 0.000 0.000
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 75 228 0 0 0 0 -1
normalized size 1 1.00 0.38 1.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.284 0.106 0.261 0.000 0.000 0.000 0.000 0.000
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 75 323 0 0 0 0 -1
normalized size 1 1.00 0.36 1.54 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.293 0.113 0.209 0.000 0.000 0.000 0.000 0.000
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 34 131 45 0 0 47
normalized size 1 1.00 1.00 0.94 3.64 1.25 0.00 0.00 1.31
time (sec) N/A 0.073 0.096 0.178 1.745 0.843 0.000 0.000 5.622
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 72 44 207 69 0 0 71
normalized size 1 1.00 0.97 0.59 2.80 0.93 0.00 0.00 0.96
time (sec) N/A 0.148 0.135 0.193 0.968 0.719 0.000 0.000 5.985
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 105 54 281 84 0 0 116
normalized size 1 1.00 0.93 0.48 2.49 0.74 0.00 0.00 1.03
time (sec) N/A 0.230 0.202 0.201 1.129 0.659 0.000 0.000 6.810
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 74 70 357 98 0 0 261
normalized size 1 1.00 0.49 0.46 2.35 0.64 0.00 0.00 1.72
time (sec) N/A 0.309 0.237 0.203 1.014 0.802 0.000 0.000 10.956
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 77 344 0 0 0 0 -1
normalized size 1 1.00 0.24 1.07 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.543 0.297 0.326 0.000 0.000 0.000 0.000 0.000
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 78 318 0 0 0 0 -1
normalized size 1 1.00 0.27 1.11 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.437 0.119 0.338 0.000 0.000 0.000 0.000 0.000
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 76 284 0 0 0 0 -1
normalized size 1 1.00 0.31 1.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.359 0.102 0.299 0.000 0.000 0.000 0.000 0.000
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 75 445 0 0 0 0 -1
normalized size 1 1.00 0.31 1.86 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.364 0.165 0.250 0.000 0.000 0.000 0.000 0.000
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 77 545 0 0 0 0 -1
normalized size 1 1.00 0.38 2.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.296 0.190 0.242 0.000 0.000 0.000 0.000 0.000
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 34 131 107 0 0 65
normalized size 1 1.00 1.00 0.94 3.64 2.97 0.00 0.00 1.81
time (sec) N/A 0.075 0.144 0.177 1.151 1.215 0.000 0.000 6.058
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 54 44 207 75 0 0 96
normalized size 1 1.00 0.71 0.58 2.72 0.99 0.00 0.00 1.26
time (sec) N/A 0.148 0.172 0.205 1.002 1.162 0.000 0.000 6.336
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 64 54 282 100 0 0 119
normalized size 1 1.00 0.57 0.48 2.50 0.88 0.00 0.00 1.05
time (sec) N/A 0.223 0.232 0.199 1.009 0.992 0.000 0.000 6.694
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 74 70 357 120 0 0 232
normalized size 1 1.00 0.49 0.47 2.38 0.80 0.00 0.00 1.55
time (sec) N/A 0.305 0.236 0.211 1.125 1.278 0.000 0.000 11.173
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 77 239 0 0 0 0 -1
normalized size 1 1.00 0.32 0.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.367 0.163 0.282 0.000 0.000 0.000 0.000 0.000
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 77 212 0 0 0 0 -1
normalized size 1 1.00 0.38 1.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.279 0.107 0.237 0.000 0.000 0.000 0.000 0.000
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 77 141 0 0 0 0 -1
normalized size 1 1.00 0.46 0.83 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.196 0.079 0.182 0.000 0.000 0.000 0.000 0.000
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 34 130 41 0 0 46
normalized size 1 1.00 1.00 1.00 3.82 1.21 0.00 0.00 1.35
time (sec) N/A 0.060 0.066 0.174 0.808 0.820 0.000 0.000 5.662
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 46 44 210 67 0 0 77
normalized size 1 1.00 0.61 0.58 2.76 0.88 0.00 0.00 1.01
time (sec) N/A 0.133 0.106 0.177 1.033 0.736 0.000 0.000 6.007
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 56 54 287 81 0 0 120
normalized size 1 1.00 0.49 0.47 2.50 0.70 0.00 0.00 1.04
time (sec) N/A 0.209 0.090 0.196 1.021 0.576 0.000 0.000 6.680
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 66 70 363 93 0 0 261
normalized size 1 1.00 0.43 0.45 2.36 0.60 0.00 0.00 1.69
time (sec) N/A 0.288 0.170 0.191 0.870 0.896 0.000 0.000 11.008
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 80 266 0 0 0 0 -1
normalized size 1 1.00 0.32 1.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.372 0.130 0.272 0.000 0.000 0.000 0.000 0.000
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 80 232 0 0 0 0 -1
normalized size 1 1.00 0.37 1.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.287 0.147 0.240 0.000 0.000 0.000 0.000 0.000
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 80 321 0 0 0 0 -1
normalized size 1 1.00 0.34 1.36 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.362 0.125 0.199 0.000 0.000 0.000 0.000 0.000
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 49 34 131 100 0 0 82
normalized size 1 1.00 1.36 0.94 3.64 2.78 0.00 0.00 2.28
time (sec) N/A 0.064 0.069 0.187 0.833 0.989 0.000 0.000 5.992
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 59 44 211 71 0 0 95
normalized size 1 1.00 0.78 0.58 2.78 0.93 0.00 0.00 1.25
time (sec) N/A 0.130 0.112 0.186 1.095 0.916 0.000 0.000 6.379
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 56 54 294 99 0 0 119
normalized size 1 1.00 0.49 0.47 2.56 0.86 0.00 0.00 1.03
time (sec) N/A 0.210 0.102 0.173 0.894 1.041 0.000 0.000 6.823
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 66 70 373 115 0 0 230
normalized size 1 1.00 0.43 0.45 2.42 0.75 0.00 0.00 1.49
time (sec) N/A 0.289 0.171 0.184 0.575 0.980 0.000 0.000 11.102
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 76 80 451 125 0 0 413
normalized size 1 1.00 0.39 0.41 2.34 0.65 0.00 0.00 2.14
time (sec) N/A 0.372 0.300 0.215 1.036 0.517 0.000 0.000 11.651
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 80 282 0 0 0 0 -1
normalized size 1 1.00 0.31 1.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.469 0.176 0.285 0.000 0.000 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 80 443 0 0 0 0 -1
normalized size 1 1.00 0.33 1.85 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.366 0.122 0.234 0.000 0.000 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 80 545 0 0 0 0 -1
normalized size 1 1.00 0.37 2.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.296 0.138 0.224 0.000 0.000 0.000 0.000 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 49 34 131 70 0 0 102
normalized size 1 1.00 1.36 0.94 3.64 1.94 0.00 0.00 2.83
time (sec) N/A 0.071 0.119 0.191 0.955 0.667 0.000 0.000 6.567
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 59 44 207 148 0 0 145
normalized size 1 1.00 0.78 0.58 2.72 1.95 0.00 0.00 1.91
time (sec) N/A 0.131 0.097 0.200 0.698 0.635 0.000 0.000 7.047
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 69 54 287 98 0 0 137
normalized size 1 1.00 0.60 0.47 2.50 0.85 0.00 0.00 1.19
time (sec) N/A 0.202 0.155 0.194 0.528 0.883 0.000 0.000 7.662
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 66 70 373 130 0 0 261
normalized size 1 1.00 0.43 0.45 2.42 0.84 0.00 0.00 1.69
time (sec) N/A 0.297 0.152 0.189 0.540 0.538 0.000 0.000 11.167
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 76 80 451 144 0 0 379
normalized size 1 1.00 0.39 0.41 2.34 0.75 0.00 0.00 1.96
time (sec) N/A 0.375 0.275 0.199 0.792 0.466 0.000 0.000 11.537
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 77 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.157 0.236 0.000 0.499 0.000 0.000 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 77 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 0.113 0.221 0.000 0.547 0.000 0.000 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 77 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 0.078 0.221 0.000 0.529 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 77 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 0.085 0.225 0.000 0.455 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.087 0.080 0.210 0.000 0.513 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.093 0.204 0.000 0.517 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.081 0.198 14.571 0.000 0.458 0.000 0.000 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.080 0.110 5.356 0.000 0.436 0.000 0.000 0.000
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 0.106 4.298 0.000 0.469 0.000 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 93 93 245 0 0 0 0 0 -1
normalized size 1 1.00 2.63 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.057 1.397 1.487 0.000 0.497 0.000 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.161 0.290 0.000 0.449 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 94 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.090 0.175 0.693 0.000 0.466 0.000 0.000 0.000
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 94 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.092 0.164 0.658 0.000 0.482 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 94 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 0.207 3.306 0.000 0.497 0.000 0.000 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 102 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.123 0.224 0.210 0.000 0.469 0.000 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 102 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 0.184 0.198 0.000 0.452 0.000 0.000 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 101 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.114 0.187 0.210 0.000 0.439 0.000 0.000 0.000
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 310 0 0 0 0 0 -1
normalized size 1 1.00 3.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.105 3.886 0.202 0.000 0.443 0.000 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 97 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.109 0.103 0.170 0.000 0.444 0.000 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 101 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.121 0.170 0.168 0.000 0.444 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 102 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.123 0.136 0.167 0.000 0.479 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 112 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.115 0.198 1.345 0.000 0.480 0.000 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 89 0 520 153 0 0 555
normalized size 1 1.00 0.82 0.00 4.77 1.40 0.00 0.00 5.09
time (sec) N/A 0.086 0.702 6.771 0.710 0.493 0.000 0.000 10.480
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 68 0 266 102 5534 0 195
normalized size 1 1.00 0.84 0.00 3.28 1.26 68.32 0.00 2.41
time (sec) N/A 0.069 0.320 3.224 0.816 0.467 172.269 0.000 1.971
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 52 0 111 61 1114 152 85
normalized size 1 1.00 0.95 0.00 2.02 1.11 20.25 2.76 1.55
time (sec) N/A 0.058 0.118 1.738 0.934 0.577 21.470 1.471 0.726
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 27 26 28 80 26 29
normalized size 1 1.00 1.00 1.04 1.00 1.08 3.08 1.00 1.12
time (sec) N/A 0.028 0.037 0.024 0.541 0.459 2.472 0.921 0.215
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 63 0 0 0 0 0 -1
normalized size 1 1.00 1.58 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.049 0.101 0.921 0.000 0.465 0.000 0.000 0.000
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 111 0 0 0 0 0 -1
normalized size 1 1.00 2.36 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.055 0.356 0.203 0.000 0.437 0.000 0.000 0.000
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 163 0 0 0 0 0 -1
normalized size 1 1.00 3.20 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.056 0.736 0.231 0.000 0.460 0.000 0.000 0.000
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 78 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.075 0.125 2.444 0.000 0.455 0.000 0.000 0.000
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 78 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 0.100 1.342 0.000 0.444 0.000 0.000 0.000
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 3917 0 0 0 0 0 -1
normalized size 1 1.00 53.66 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.083 16.116 0.156 0.000 0.474 0.000 0.000 0.000
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 83 83 9400 0 0 0 0 0 -1
normalized size 1 1.00 113.25 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.084 21.277 0.196 0.000 0.490 0.000 0.000 0.000
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 85 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.096 0.205 0.204 0.000 0.458 0.000 0.000 0.000
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 85 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.093 0.154 0.196 0.000 0.494 0.000 0.000 0.000
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 85 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.084 0.219 0.000 0.447 0.000 0.000 0.000
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 83 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.078 0.189 0.000 0.471 0.000 0.000 0.000
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 82 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.099 0.181 0.000 0.456 0.000 0.000 0.000
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.094 0.101 0.186 0.000 0.450 0.000 0.000 0.000
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 101 0 0 104 0 0 137
normalized size 1 1.00 0.50 0.00 0.00 0.52 0.00 0.00 0.68
time (sec) N/A 0.321 0.193 0.344 0.000 0.476 0.000 0.000 6.828
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 76 0 0 75 0 0 103
normalized size 1 1.00 0.54 0.00 0.00 0.53 0.00 0.00 0.73
time (sec) N/A 0.222 0.127 0.309 0.000 0.464 0.000 0.000 6.126
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 53 0 0 61 0 0 71
normalized size 1 1.00 0.60 0.00 0.00 0.69 0.00 0.00 0.80
time (sec) N/A 0.124 0.116 0.320 0.000 0.469 0.000 0.000 5.605
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 0 65 39 0 0 34
normalized size 1 1.00 1.00 0.00 1.91 1.15 0.00 0.00 1.00
time (sec) N/A 0.051 0.051 0.303 0.459 0.457 0.000 0.000 0.288
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 108 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.109 0.120 0.565 0.000 0.466 0.000 0.000 0.000
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.106 0.256 0.308 0.000 0.477 0.000 0.000 0.000
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 113 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 0.239 0.314 0.000 0.479 0.000 0.000 0.000
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 105 0 624 314 0 0 601
normalized size 1 1.00 0.70 0.00 4.16 2.09 0.00 0.00 4.01
time (sec) N/A 0.240 0.387 1.678 1.386 0.481 0.000 0.000 13.477
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 72 0 351 170 0 0 241
normalized size 1 1.00 0.77 0.00 3.73 1.81 0.00 0.00 2.56
time (sec) N/A 0.141 0.221 1.573 1.381 0.455 0.000 0.000 8.768
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 144 80 0 0 58
normalized size 1 1.00 0.98 0.00 3.27 1.82 0.00 0.00 1.32
time (sec) N/A 0.055 0.150 2.197 0.954 0.486 0.000 0.000 5.582
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.067 0.062 1.332 0.000 0.472 0.000 0.000 0.000
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 76 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.075 0.132 1.368 0.000 0.494 0.000 0.000 0.000
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 96 0 0 0 0 0 -1
normalized size 1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.096 0.204 1.843 0.000 0.472 0.000 0.000 0.000
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 96 0 0 0 0 0 -1
normalized size 1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 0.195 1.711 0.000 0.473 0.000 0.000 0.000
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 90 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.090 0.083 0.753 0.000 0.468 0.000 0.000 0.000
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 87 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.218 1.287 0.000 0.474 0.000 0.000 0.000
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 46 70 51 83 88 68
normalized size 1 1.00 1.00 0.77 1.17 0.85 1.38 1.47 1.13
time (sec) N/A 0.042 0.021 0.146 0.339 0.459 4.424 0.920 0.065
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 36 48 39 60 48 46
normalized size 1 1.00 1.00 0.82 1.09 0.89 1.36 1.09 1.05
time (sec) N/A 0.032 0.013 0.143 0.316 0.471 1.225 0.444 0.057
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 28 39 25 20 25 34 25 23
normalized size 1 1.27 1.77 1.14 0.91 1.14 1.55 1.14 1.05
time (sec) N/A 0.016 0.011 0.053 0.354 0.450 0.245 0.404 0.042
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 26 34 35 37 0 37 54
normalized size 1 1.00 0.60 0.79 0.81 0.86 0.00 0.86 1.26
time (sec) N/A 0.040 0.011 0.099 0.356 0.456 0.000 0.746 0.072
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 52 54 53 67 0 55 44
normalized size 1 1.00 1.27 1.32 1.29 1.63 0.00 1.34 1.07
time (sec) N/A 0.038 0.020 0.166 0.324 0.483 0.000 0.661 0.075
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 68 74 78 82 0 70 64
normalized size 1 1.00 1.11 1.21 1.28 1.34 0.00 1.15 1.05
time (sec) N/A 0.044 0.149 0.168 0.328 0.459 0.000 0.579 5.145
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 62 52 48 51 124 77 111
normalized size 1 1.00 0.95 0.80 0.74 0.78 1.91 1.18 1.71
time (sec) N/A 0.045 0.106 0.149 0.371 0.464 2.339 2.015 8.694
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 46 41 37 37 71 47 68
normalized size 1 1.00 1.07 0.95 0.86 0.86 1.65 1.09 1.58
time (sec) N/A 0.033 0.061 0.087 0.333 0.431 0.643 0.347 7.381
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 24 23 22 0 33 22
normalized size 1 1.00 1.00 1.04 1.00 0.96 0.00 1.43 0.96
time (sec) N/A 0.031 0.011 0.150 0.331 0.432 0.000 0.821 5.132
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 41 38 35 35 0 76 42
normalized size 1 1.00 0.93 0.86 0.80 0.80 0.00 1.73 0.95
time (sec) N/A 0.036 0.073 0.159 0.329 0.433 0.000 0.413 5.265
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 53 48 48 50 0 120 75
normalized size 1 1.00 0.88 0.80 0.80 0.83 0.00 2.00 1.25
time (sec) N/A 0.040 0.175 0.160 0.329 0.437 0.000 1.274 5.299
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 104 98 106 87 158 136 104
normalized size 1 1.00 1.05 0.99 1.07 0.88 1.60 1.37 1.05
time (sec) N/A 0.089 0.205 0.202 0.321 0.482 7.448 0.748 0.074
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 56 78 73 69 107 80 74
normalized size 1 1.00 0.73 1.01 0.95 0.90 1.39 1.04 0.96
time (sec) N/A 0.071 0.119 0.200 0.321 0.485 3.163 0.631 0.050
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 46 21 20 48 53 20 39
normalized size 1 1.00 2.09 0.95 0.91 2.18 2.41 0.91 1.77
time (sec) N/A 0.027 0.013 0.085 0.330 0.490 0.770 0.663 0.058
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 54 72 60 62 0 62 50
normalized size 1 1.00 0.89 1.18 0.98 1.02 0.00 1.02 0.82
time (sec) N/A 0.082 0.063 0.145 0.329 0.493 0.000 0.509 5.156
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 113 118 78 90 0 86 62
normalized size 1 1.00 1.92 2.00 1.32 1.53 0.00 1.46 1.05
time (sec) N/A 0.061 0.923 0.254 0.325 0.473 0.000 1.152 0.107
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 166 165 115 118 0 118 93
normalized size 1 1.00 1.68 1.67 1.16 1.19 0.00 1.19 0.94
time (sec) N/A 0.088 0.737 0.253 0.320 0.479 0.000 0.973 5.098
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 141 128 114 108 398 162 178
normalized size 1 1.00 0.97 0.88 0.78 0.74 2.73 1.11 1.22
time (sec) N/A 0.134 0.345 0.227 0.328 0.485 13.093 0.620 5.466
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 133 108 88 89 287 123 134
normalized size 1 1.00 1.15 0.93 0.76 0.77 2.47 1.06 1.16
time (sec) N/A 0.116 0.195 0.217 0.317 0.463 4.686 0.935 5.307
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 85 86 64 70 180 76 71
normalized size 1 1.00 0.99 1.00 0.74 0.81 2.09 0.88 0.83
time (sec) N/A 0.095 0.231 0.153 0.334 0.448 1.410 1.007 5.380
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 55 46 46 45 0 63 53
normalized size 1 1.00 1.12 0.94 0.94 0.92 0.00 1.29 1.08
time (sec) N/A 0.048 0.058 0.191 0.480 0.459 0.000 0.780 5.207
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 105 62 51 52 0 102 71
normalized size 1 1.00 1.40 0.83 0.68 0.69 0.00 1.36 0.95
time (sec) N/A 0.096 0.327 0.283 0.330 0.430 0.000 0.510 5.258
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 84 92 76 77 0 181 103
normalized size 1 1.00 0.82 0.89 0.74 0.75 0.00 1.76 1.00
time (sec) N/A 0.101 0.435 0.250 0.372 0.458 0.000 0.544 5.364
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 110 120 97 99 0 260 135
normalized size 1 1.00 0.85 0.93 0.75 0.77 0.00 2.02 1.05
time (sec) N/A 0.123 0.811 0.296 0.322 0.448 0.000 0.405 5.547
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 120 135 144 117 202 185 141
normalized size 1 1.00 0.83 0.94 1.00 0.81 1.40 1.28 0.98
time (sec) N/A 0.133 0.516 0.233 0.336 0.487 12.917 0.996 0.092
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 56 115 100 95 151 112 98
normalized size 1 1.00 0.73 1.49 1.30 1.23 1.96 1.45 1.27
time (sec) N/A 0.080 0.141 0.230 0.322 0.445 4.868 0.499 5.128
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 57 21 20 71 73 20 55
normalized size 1 1.00 2.59 0.95 0.91 3.23 3.32 0.91 2.50
time (sec) N/A 0.026 0.064 0.096 0.314 0.434 1.274 0.474 0.060
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 67 108 91 93 0 93 65
normalized size 1 1.00 0.84 1.35 1.14 1.16 0.00 1.16 0.81
time (sec) N/A 0.105 0.118 0.184 0.330 0.477 0.000 0.527 5.129
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 176 154 98 112 0 114 99
normalized size 1 1.00 1.59 1.39 0.88 1.01 0.00 1.03 0.89
time (sec) N/A 0.134 1.336 0.285 0.331 0.475 0.000 1.135 5.211
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 318 195 136 138 0 139 114
normalized size 1 1.00 3.38 2.07 1.45 1.47 0.00 1.48 1.21
time (sec) N/A 0.080 4.037 0.268 0.324 0.482 0.000 0.789 5.166
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 182 145 117 117 348 173 474
normalized size 1 1.00 1.15 0.92 0.74 0.74 2.20 1.09 3.00
time (sec) N/A 0.217 0.379 0.277 0.416 0.473 8.674 1.262 6.926
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 107 123 93 98 236 113 356
normalized size 1 1.00 0.82 0.94 0.71 0.75 1.80 0.86 2.72
time (sec) N/A 0.194 0.514 0.205 1.017 0.498 3.157 0.622 6.627
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 68 89 70 70 0 123 103
normalized size 1 1.00 0.86 1.13 0.89 0.89 0.00 1.56 1.30
time (sec) N/A 0.070 0.314 0.396 0.513 0.455 0.000 0.735 5.814
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 136 122 80 77 0 128 81
normalized size 1 1.00 1.62 1.45 0.95 0.92 0.00 1.52 0.96
time (sec) N/A 0.088 0.422 0.404 0.333 0.466 0.000 1.921 5.249
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 190 173 105 101 0 243 119
normalized size 1 1.00 1.41 1.28 0.78 0.75 0.00 1.80 0.88
time (sec) N/A 0.192 0.540 0.318 0.335 0.434 0.000 1.414 5.407
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 245 219 124 124 0 358 152
normalized size 1 1.00 1.48 1.33 0.75 0.75 0.00 2.17 0.92
time (sec) N/A 0.207 0.897 0.366 0.335 0.453 0.000 1.884 5.604
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 299 265 145 146 0 473 275
normalized size 1 1.00 1.56 1.38 0.76 0.76 0.00 2.46 1.43
time (sec) N/A 0.221 1.520 0.383 0.337 0.459 0.000 1.596 6.132
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 120 530 311 356 614 464 306
normalized size 1 1.00 0.83 3.68 2.16 2.47 4.26 3.22 2.12
time (sec) N/A 0.221 1.991 0.266 0.328 0.563 119.111 3.939 5.454
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 56 480 233 310 468 272 231
normalized size 1 1.00 0.73 6.23 3.03 4.03 6.08 3.53 3.00
time (sec) N/A 0.151 0.847 0.257 0.326 0.520 54.458 1.971 5.374
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 137 21 20 257 168 20 135
normalized size 1 1.00 6.23 0.95 0.91 11.68 7.64 0.91 6.14
time (sec) N/A 0.026 0.361 0.109 0.341 0.508 20.961 2.932 5.266
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 227 465 317 327 0 378 212
normalized size 1 1.00 0.93 1.90 1.29 1.33 0.00 1.54 0.87
time (sec) N/A 0.182 0.214 0.232 0.326 0.524 0.000 1.992 5.362
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 366 645 323 368 0 408 257
normalized size 1 1.00 1.29 2.27 1.14 1.30 0.00 1.44 0.90
time (sec) N/A 0.242 2.347 0.334 0.332 0.542 0.000 0.596 5.389
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 514 760 348 366 0 429 305
normalized size 1 1.00 1.61 2.38 1.09 1.14 0.00 1.34 0.95
time (sec) N/A 0.304 4.118 0.347 0.328 0.539 0.000 0.998 5.484
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 423 457 497 336 315 1115 364 467
normalized size 1 1.00 1.08 1.17 0.79 0.74 2.64 0.86 1.10
time (sec) N/A 1.217 1.012 0.201 0.338 0.521 39.897 3.190 7.344
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 313 406 348 266 0 799 767
normalized size 1 1.00 0.90 1.16 1.00 0.76 0.00 2.29 2.20
time (sec) N/A 0.563 1.089 0.422 0.432 0.516 0.000 0.783 7.734
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 414 495 328 268 0 684 726
normalized size 1 1.00 1.12 1.34 0.89 0.73 0.00 1.85 1.97
time (sec) N/A 0.646 1.111 0.457 0.431 0.498 0.000 0.759 7.823
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 472 544 315 281 0 663 665
normalized size 1 1.00 1.24 1.43 0.83 0.74 0.00 1.74 1.75
time (sec) N/A 0.724 1.334 0.523 0.443 0.502 0.000 1.188 7.598
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 404 404 479 567 310 306 0 726 546
normalized size 1 1.00 1.19 1.40 0.77 0.76 0.00 1.80 1.35
time (sec) N/A 0.821 1.435 0.410 0.432 0.528 0.000 0.697 8.853
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 313 662 315 336 0 892 659
normalized size 1 1.00 1.33 2.81 1.33 1.42 0.00 3.78 2.79
time (sec) N/A 0.385 4.460 0.395 0.334 0.513 0.000 1.922 6.680
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 103 163 108 107 0 120 109
normalized size 1 1.00 0.87 1.38 0.92 0.91 0.00 1.02 0.92
time (sec) N/A 0.105 0.226 0.147 0.311 0.486 0.000 1.089 5.072
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 54 72 55 53 0 56 55
normalized size 1 1.00 0.89 1.18 0.90 0.87 0.00 0.92 0.90
time (sec) N/A 0.066 0.065 0.144 0.310 0.474 0.000 0.796 0.077
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 18 18 41 19 18
normalized size 1 1.00 1.00 1.06 1.00 1.00 2.28 1.06 1.00
time (sec) N/A 0.027 0.006 0.085 0.328 0.466 1.056 0.374 5.085
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 64 76 64 62 0 71 69
normalized size 1 1.00 0.85 1.01 0.85 0.83 0.00 0.95 0.92
time (sec) N/A 0.083 0.056 0.149 0.329 0.467 0.000 0.409 5.133
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 170 164 139 153 0 177 148
normalized size 1 1.00 1.38 1.33 1.13 1.24 0.00 1.44 1.20
time (sec) N/A 0.164 0.583 0.181 0.333 0.577 0.000 0.428 5.388
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 266 305 278 253 0 332 322
normalized size 1 1.00 1.36 1.56 1.43 1.30 0.00 1.70 1.65
time (sec) N/A 0.255 0.948 0.179 0.337 0.641 0.000 0.472 0.586
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 2827 1055 0 483 0 496 3075
normalized size 1 1.00 15.04 5.61 0.00 2.57 0.00 2.64 16.36
time (sec) N/A 0.462 6.306 0.164 0.000 0.504 0.000 0.490 7.655
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 428 450 0 332 0 226 364
normalized size 1 1.00 3.37 3.54 0.00 2.61 0.00 1.78 2.87
time (sec) N/A 0.252 4.510 0.148 0.000 0.503 0.000 2.808 6.116
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 361 142 0 214 0 95 318
normalized size 1 1.00 5.16 2.03 0.00 3.06 0.00 1.36 4.54
time (sec) N/A 0.114 1.411 0.145 0.000 0.496 0.000 0.966 5.373
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 152 117 0 305 0 107 149
normalized size 1 1.00 1.81 1.39 0.00 3.63 0.00 1.27 1.77
time (sec) N/A 0.094 0.323 0.157 0.000 0.500 0.000 1.168 5.255
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 202 270 0 466 0 273 387
normalized size 1 1.00 1.47 1.97 0.00 3.40 0.00 1.99 2.82
time (sec) N/A 0.251 1.340 0.188 0.000 0.506 0.000 0.527 7.946
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 370 525 0 666 0 584 774
normalized size 1 1.00 1.88 2.66 0.00 3.38 0.00 2.96 3.93
time (sec) N/A 0.495 2.527 0.184 0.000 0.519 0.000 1.226 8.061
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 235 305 190 243 0 251 259
normalized size 1 1.00 1.28 1.66 1.03 1.32 0.00 1.36 1.41
time (sec) N/A 0.173 0.476 0.246 0.315 0.542 0.000 0.977 0.121
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 127 174 116 156 0 150 118
normalized size 1 1.00 1.06 1.45 0.97 1.30 0.00 1.25 0.98
time (sec) N/A 0.101 0.631 0.252 0.315 0.489 0.000 0.840 0.083
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 52 78 61 78 221 91 69
normalized size 1 1.00 0.83 1.24 0.97 1.24 3.51 1.44 1.10
time (sec) N/A 0.065 0.035 0.239 0.311 0.464 1.882 1.693 0.085
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 21 20 20 51 20 20
normalized size 1 1.00 1.00 1.05 1.00 1.00 2.55 1.00 1.00
time (sec) N/A 0.027 0.024 0.127 0.308 0.445 1.244 0.362 5.065
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 102 101 118 188 0 147 98
normalized size 1 1.00 0.98 0.97 1.13 1.81 0.00 1.41 0.94
time (sec) N/A 0.115 0.211 0.265 0.317 0.536 0.000 1.285 0.210
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 222 192 275 381 0 244 227
normalized size 1 1.00 1.25 1.08 1.55 2.15 0.00 1.38 1.28
time (sec) N/A 0.209 1.755 0.325 0.342 0.576 0.000 0.992 5.474
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 406 331 505 527 0 460 449
normalized size 1 1.00 1.51 1.23 1.88 1.96 0.00 1.71 1.67
time (sec) N/A 0.321 6.109 0.309 0.338 0.766 0.000 0.437 5.944
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 3679 1021 0 599 0 469 2530
normalized size 1 1.00 19.67 5.46 0.00 3.20 0.00 2.51 13.53
time (sec) N/A 0.371 6.523 0.254 0.000 0.539 0.000 2.499 7.583
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 448 385 0 411 0 235 601
normalized size 1 1.00 3.50 3.01 0.00 3.21 0.00 1.84 4.70
time (sec) N/A 0.213 5.112 0.243 0.000 0.481 0.000 1.396 6.397
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 414 153 0 388 0 126 329
normalized size 1 1.00 4.93 1.82 0.00 4.62 0.00 1.50 3.92
time (sec) N/A 0.110 2.692 0.231 0.000 0.502 0.000 1.376 5.559
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 162 222 0 538 0 271 303
normalized size 1 1.00 1.25 1.71 0.00 4.14 0.00 2.08 2.33
time (sec) N/A 0.208 1.150 0.225 0.000 0.504 0.000 2.550 7.396
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 336 370 0 782 0 427 727
normalized size 1 1.00 1.74 1.92 0.00 4.05 0.00 2.21 3.77
time (sec) N/A 0.367 1.863 0.318 0.000 0.526 0.000 0.667 8.511
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 282 320 200 304 0 245 234
normalized size 1 1.00 1.48 1.68 1.05 1.60 0.00 1.29 1.23
time (sec) N/A 0.159 0.640 0.285 0.328 0.546 0.000 0.473 0.122
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 143 183 131 212 0 142 142
normalized size 1 1.00 1.13 1.44 1.03 1.67 0.00 1.12 1.12
time (sec) N/A 0.105 0.984 0.289 0.317 0.481 0.000 0.514 5.136
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 55 85 76 110 398 62 80
normalized size 1 1.00 0.76 1.18 1.06 1.53 5.53 0.86 1.11
time (sec) N/A 0.072 0.118 0.260 0.318 0.448 2.392 1.017 0.092
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 43 73 20 39
normalized size 1 1.00 1.00 0.95 0.91 1.95 3.32 0.91 1.77
time (sec) N/A 0.026 0.027 0.110 0.311 0.420 1.971 0.408 0.058
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 135 166 223 462 0 242 169
normalized size 1 1.00 0.93 1.14 1.54 3.19 0.00 1.67 1.17
time (sec) N/A 0.154 0.589 0.290 0.340 0.531 0.000 0.692 5.400
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 283 258 438 707 0 413 388
normalized size 1 1.00 1.25 1.14 1.94 3.13 0.00 1.83 1.72
time (sec) N/A 0.277 3.952 0.324 0.356 0.743 0.000 1.376 5.776
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 388 398 725 895 0 575 688
normalized size 1 1.00 1.18 1.21 2.21 2.73 0.00 1.75 2.10
time (sec) N/A 0.420 2.735 0.336 0.373 1.442 0.000 0.725 6.565
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 3889 1060 0 752 0 457 1226
normalized size 1 1.00 19.74 5.38 0.00 3.82 0.00 2.32 6.22
time (sec) N/A 0.367 6.572 0.308 0.000 0.877 0.000 0.699 8.583
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 2641 560 0 716 0 272 1360
normalized size 1 1.00 19.00 4.03 0.00 5.15 0.00 1.96 9.78
time (sec) N/A 0.208 6.275 0.306 0.000 0.776 0.000 0.421 7.550
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 93 443 0 501 0 207 282
normalized size 1 1.00 0.81 3.85 0.00 4.36 0.00 1.80 2.45
time (sec) N/A 0.128 0.254 0.298 0.000 0.641 0.000 0.547 7.369
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 193 705 0 894 0 385 650
normalized size 1 1.00 1.01 3.67 0.00 4.66 0.00 2.01 3.39
time (sec) N/A 0.391 3.060 0.276 0.000 0.738 0.000 4.780 8.820
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 380 854 0 1200 0 622 1167
normalized size 1 1.00 1.44 3.23 0.00 4.55 0.00 2.36 4.42
time (sec) N/A 0.640 2.809 0.338 0.000 0.878 0.000 9.089 9.369
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 171 208 279 382 2530 215 276
normalized size 1 1.00 0.83 1.00 1.35 1.85 12.22 1.04 1.33
time (sec) N/A 0.171 1.144 0.357 0.330 0.840 47.443 3.884 0.242
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 107 127 206 309 1425 117 206
normalized size 1 1.00 0.76 0.90 1.46 2.19 10.11 0.83 1.46
time (sec) N/A 0.109 0.272 0.342 0.331 0.732 43.300 6.194 0.136
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 54 67 151 254 636 52 152
normalized size 1 1.00 0.70 0.87 1.96 3.30 8.26 0.68 1.97
time (sec) N/A 0.072 0.190 0.335 1.518 0.711 41.333 4.464 5.217
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 218 167 20 119
normalized size 1 1.00 1.00 0.95 0.91 9.91 7.59 0.91 5.41
time (sec) N/A 0.027 0.080 0.138 0.309 0.765 40.650 2.567 5.203
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 365 699 1160 3165 0 1010 937
normalized size 1 1.00 0.95 1.82 3.01 8.22 0.00 2.62 2.43
time (sec) N/A 0.528 2.688 0.438 0.396 4.678 0.000 2.068 7.635
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 527 527 770 804 1670 3678 0 1327 1443
normalized size 1 1.00 1.46 1.53 3.17 6.98 0.00 2.52 2.74
time (sec) N/A 0.736 6.748 0.481 0.438 8.070 0.000 4.381 9.887
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 491 491 6570 9454 0 3721 0 2326 9647
normalized size 1 1.00 13.38 19.25 0.00 7.58 0.00 4.74 19.65
time (sec) N/A 1.274 8.505 0.424 0.000 1.872 0.000 9.879 32.217
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 386 6933 0 2250 0 1650 1868
normalized size 1 1.00 0.95 17.03 0.00 5.53 0.00 4.05 4.59
time (sec) N/A 0.792 6.001 0.408 0.000 1.440 0.000 9.949 12.465
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 411 411 1167 9171 0 2657 0 1932 2184
normalized size 1 1.00 2.84 22.31 0.00 6.46 0.00 4.70 5.31
time (sec) N/A 0.791 6.077 0.391 0.000 1.381 0.000 5.093 10.854
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B F(-2) B F(-1) B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 422 422 1896 11250 0 2972 0 2207 2440
normalized size 1 1.00 4.49 26.66 0.00 7.04 0.00 5.23 5.78
time (sec) N/A 0.746 6.204 0.407 0.000 1.523 0.000 3.819 10.339
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 529 529 494 7675 0 3882 0 2610 3273
normalized size 1 1.00 0.93 14.51 0.00 7.34 0.00 4.93 6.19
time (sec) N/A 1.765 5.248 0.385 0.000 1.710 0.000 7.973 53.316
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 653 653 597 7823 0 4500 0 3047 -1
normalized size 1 1.00 0.91 11.98 0.00 6.89 0.00 4.67 -0.00
time (sec) N/A 2.137 5.995 0.587 0.000 2.232 0.000 20.509 0.000
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 117 126 116 142 0 0 -1
normalized size 1 1.00 0.76 0.82 0.75 0.92 0.00 0.00 -0.01
time (sec) N/A 0.117 0.344 0.605 0.321 0.777 0.000 0.000 0.000
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 55 61 78 0 78 -1
normalized size 1 1.00 0.70 0.66 0.73 0.94 0.00 0.94 -0.01
time (sec) N/A 0.082 0.128 0.376 0.323 0.916 0.000 2.172 0.000
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 20 83 20 20
normalized size 1 1.00 1.00 0.88 0.83 0.83 3.46 0.83 0.83
time (sec) N/A 0.036 0.016 0.043 0.332 1.022 0.553 1.447 5.204
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 63 0 1729 0 0 -1
normalized size 1 1.00 1.00 0.85 0.00 23.36 0.00 0.00 -0.01
time (sec) N/A 0.116 0.052 0.389 0.000 1.190 0.000 0.000 0.000
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 143 185 0 2101 0 0 -1
normalized size 1 1.00 1.15 1.49 0.00 16.94 0.00 0.00 -0.01
time (sec) N/A 0.167 0.706 0.609 0.000 1.320 0.000 0.000 0.000
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 224 509 0 0 0 0 -1
normalized size 1 1.00 1.08 2.46 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.323 1.525 0.880 0.000 1.613 0.000 0.000 0.000
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 233 1189 0 0 0 0 -1
normalized size 1 1.00 0.78 3.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.565 0.911 0.690 0.000 1.044 0.000 0.000 0.000
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 185 792 0 0 0 0 -1
normalized size 1 1.00 0.86 3.68 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.261 0.828 0.715 0.000 1.007 0.000 0.000 0.000
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 127 614 0 0 0 0 -1
normalized size 1 1.00 0.85 4.12 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.171 2.812 1.007 0.000 1.139 0.000 0.000 0.000
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 270 1259 0 0 0 0 -1
normalized size 1 1.00 1.09 5.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.371 3.362 0.846 0.000 0.764 0.000 0.000 0.000
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 131 126 116 184 0 0 -1
normalized size 1 1.00 0.85 0.82 0.75 1.19 0.00 0.00 -0.01
time (sec) N/A 0.123 0.718 0.696 0.345 0.785 0.000 0.000 0.000
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 55 61 111 314 0 -1
normalized size 1 1.00 0.70 0.66 0.73 1.34 3.78 0.00 -0.01
time (sec) N/A 0.091 0.180 0.327 0.319 1.012 121.573 0.000 0.000
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 53 116 0 20
normalized size 1 1.00 1.00 0.88 0.83 2.21 4.83 0.00 0.83
time (sec) N/A 0.039 0.022 0.045 0.323 0.936 26.321 0.000 5.410
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 89 218 0 0 0 0 -1
normalized size 1 1.00 0.95 2.32 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.167 0.095 0.477 0.000 1.898 0.000 0.000 0.000
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 121 279 0 1969 0 0 -1
normalized size 1 1.00 0.93 2.15 0.00 15.15 0.00 0.00 -0.01
time (sec) N/A 0.274 0.700 0.683 0.000 0.977 0.000 0.000 0.000
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 297 409 0 0 0 0 -1
normalized size 1 1.00 1.58 2.18 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.318 2.604 1.019 0.000 1.107 0.000 0.000 0.000
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 329 278 1355 0 0 0 0 -1
normalized size 1 1.00 0.84 4.12 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.692 1.090 0.802 0.000 1.196 0.000 0.000 0.000
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 222 943 0 0 0 0 -1
normalized size 1 1.00 0.90 3.82 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.462 1.041 0.722 0.000 0.784 0.000 0.000 0.000
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 163 635 0 0 0 0 -1
normalized size 1 1.00 0.97 3.78 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.203 0.657 0.789 0.000 1.019 0.000 0.000 0.000
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 211 938 0 0 0 0 -1
normalized size 1 1.00 0.97 4.30 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.438 2.553 1.196 0.000 0.776 0.000 0.000 0.000
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 364 1519 0 0 0 0 -1
normalized size 1 1.00 1.10 4.60 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.698 6.278 1.035 0.000 1.275 0.000 0.000 0.000
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 113 126 116 224 0 0 -1
normalized size 1 1.00 0.73 0.82 0.75 1.45 0.00 0.00 -0.01
time (sec) N/A 0.120 0.576 0.642 0.328 1.001 0.000 0.000 0.000
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 55 61 143 0 0 -1
normalized size 1 1.00 0.70 0.66 0.73 1.72 0.00 0.00 -0.01
time (sec) N/A 0.091 0.098 0.485 0.361 1.076 0.000 0.000 0.000
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 77 0 0 20
normalized size 1 1.00 1.00 0.88 0.83 3.21 0.00 0.00 0.83
time (sec) N/A 0.037 0.034 0.041 0.338 0.762 0.000 0.000 5.569
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 105 312 0 1937 0 0 -1
normalized size 1 1.00 0.90 2.67 0.00 16.56 0.00 0.00 -0.01
time (sec) N/A 0.232 0.161 0.522 0.000 3.096 0.000 0.000 0.000
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 147 356 0 2071 0 0 -1
normalized size 1 1.00 0.95 2.30 0.00 13.36 0.00 0.00 -0.01
time (sec) N/A 0.270 0.890 0.672 0.000 1.743 0.000 0.000 0.000
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 307 538 0 2229 0 0 -1
normalized size 1 1.00 1.54 2.70 0.00 11.20 0.00 0.00 -0.01
time (sec) N/A 0.282 3.384 1.787 0.000 1.534 0.000 0.000 0.000
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 398 398 321 1619 0 0 0 0 -1
normalized size 1 1.00 0.81 4.07 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.937 1.296 0.965 0.000 1.133 0.000 0.000 0.000
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 239 1190 0 0 0 0 -1
normalized size 1 1.00 0.80 3.98 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.669 1.037 0.888 0.000 1.019 0.000 0.000 0.000
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 203 1042 0 0 0 0 -1
normalized size 1 1.00 1.00 5.13 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.280 0.896 0.876 0.000 0.707 0.000 0.000 0.000
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 259 1249 0 0 0 0 -1
normalized size 1 1.00 1.09 5.25 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.394 3.520 0.910 0.000 0.628 0.000 0.000 0.000
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 351 1360 0 0 0 0 -1
normalized size 1 1.00 1.09 4.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.672 6.274 0.945 0.000 1.171 0.000 0.000 0.000
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 439 439 338 1888 0 0 0 0 -1
normalized size 1 1.00 0.77 4.30 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.944 4.441 8.633 0.000 0.878 0.000 0.000 0.000
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 118 126 160 111 0 0 -1
normalized size 1 1.00 0.78 0.83 1.05 0.73 0.00 0.00 -0.01
time (sec) N/A 0.114 0.315 0.334 0.340 0.777 0.000 0.000 0.000
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 58 55 75 54 0 75 -1
normalized size 1 1.00 0.72 0.68 0.93 0.67 0.00 0.93 -0.01
time (sec) N/A 0.085 0.098 0.296 0.317 0.892 0.000 1.884 0.000
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 20 54 20 20
normalized size 1 1.00 1.00 0.95 0.91 0.91 2.45 0.91 0.91
time (sec) N/A 0.035 0.013 0.021 0.318 1.316 1.144 1.790 6.224
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 62 0 0 0 0 -1
normalized size 1 1.00 1.00 0.84 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.094 0.054 0.473 0.000 0.683 0.000 0.000 0.000
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 176 218 0 0 0 0 -1
normalized size 1 1.00 1.22 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.305 0.512 0.816 0.000 0.000 0.000 0.000 0.000
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 244 618 0 0 0 0 -1
normalized size 1 1.00 1.06 2.69 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.389 1.903 1.112 0.000 0.000 0.000 0.000 0.000
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 219 942 0 0 0 0 -1
normalized size 1 1.00 0.89 3.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.365 1.073 0.853 0.000 1.368 0.000 0.000 0.000
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 145 462 0 0 0 0 -1
normalized size 1 1.00 0.83 2.64 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.188 0.816 0.743 0.000 0.809 0.000 0.000 0.000
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 177 640 0 0 0 0 -1
normalized size 1 1.00 0.97 3.50 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.203 0.634 0.798 0.000 0.974 0.000 0.000 0.000
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 306 1314 0 0 0 0 -1
normalized size 1 1.00 1.05 4.52 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.439 4.143 2.258 0.000 0.852 0.000 0.000 0.000
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 116 116 124 125 0 0 -1
normalized size 1 1.00 0.77 0.77 0.83 0.83 0.00 0.00 -0.01
time (sec) N/A 0.121 0.256 0.354 0.321 0.542 0.000 0.000 0.000
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 57 54 67 67 0 72 -1
normalized size 1 1.00 0.72 0.68 0.85 0.85 0.00 0.91 -0.01
time (sec) N/A 0.094 0.064 0.326 0.325 0.799 0.000 0.563 0.000
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 20 32 56 20 51
normalized size 1 1.00 1.00 0.95 0.91 1.45 2.55 0.91 2.32
time (sec) N/A 0.038 0.015 0.020 0.320 0.642 3.009 1.901 6.145
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 91 99 0 0 0 0 -1
normalized size 1 1.00 0.87 0.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.158 0.086 0.558 0.000 0.963 0.000 0.000 0.000
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-2) F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 221 250 0 0 0 0 -1
normalized size 1 1.00 1.19 1.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.334 1.199 0.894 0.000 0.000 0.000 0.000 0.000
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 324 649 0 0 0 0 -1
normalized size 1 1.00 1.14 2.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.521 2.240 1.101 0.000 1.492 0.000 0.000 0.000
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 273 1195 0 0 0 0 -1
normalized size 1 1.00 0.87 3.82 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.539 1.512 0.825 0.000 0.916 0.000 0.000 0.000
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 187 797 0 0 0 0 -1
normalized size 1 1.00 0.82 3.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.333 1.121 0.697 0.000 0.930 0.000 0.000 0.000
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 125 434 0 0 0 0 -1
normalized size 1 1.00 0.78 2.71 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.187 2.770 0.749 0.000 0.776 0.000 0.000 0.000
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 205 1062 0 0 0 0 -1
normalized size 1 1.00 0.82 4.23 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.365 1.748 1.121 0.000 0.775 0.000 0.000 0.000
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 348 1646 0 0 0 0 -1
normalized size 1 1.00 0.97 4.58 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.613 3.110 4.731 0.000 0.733 0.000 0.000 0.000
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 117 116 122 147 0 0 -1
normalized size 1 1.00 0.78 0.77 0.81 0.98 0.00 0.00 -0.01
time (sec) N/A 0.122 0.303 0.432 0.754 0.807 0.000 0.000 0.000
Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 56 55 64 91 304 61 1402
normalized size 1 1.00 0.71 0.70 0.81 1.15 3.85 0.77 17.75
time (sec) N/A 0.094 0.056 0.392 0.733 0.900 23.930 0.856 11.891
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 55 87 20 157
normalized size 1 1.00 1.00 0.88 0.83 2.29 3.62 0.83 6.54
time (sec) N/A 0.042 0.019 0.024 0.468 0.567 22.735 0.887 7.246
Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 94 130 0 3225 0 0 -1
normalized size 1 1.00 0.68 0.94 0.00 23.20 0.00 0.00 -0.01
time (sec) N/A 0.243 0.081 0.747 0.000 1.654 0.000 0.000 0.000
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 245 283 0 0 0 0 -1
normalized size 1 1.00 1.06 1.23 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.416 0.881 0.934 0.000 1.592 0.000 0.000 0.000
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F(-2) F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 339 339 296 682 0 0 0 0 -1
normalized size 1 1.00 0.87 2.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.645 3.432 1.054 0.000 2.356 0.000 0.000 0.000
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 384 384 356 2253 0 0 0 0 -1
normalized size 1 1.00 0.93 5.87 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.761 1.787 0.887 0.000 1.104 0.000 0.000 0.000
Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 244 1642 0 0 0 0 -1
normalized size 1 1.00 0.83 5.60 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.513 1.221 0.783 0.000 0.867 0.000 0.000 0.000
Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 174 1047 0 0 0 0 -1
normalized size 1 1.00 0.79 4.74 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.320 1.026 0.778 0.000 0.814 0.000 0.000 0.000
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 167 864 0 0 0 0 -1
normalized size 1 1.00 0.76 3.95 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.263 1.029 0.822 0.000 0.674 0.000 0.000 0.000
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 241 1653 0 0 0 0 -1
normalized size 1 1.00 0.74 5.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.609 1.893 3.851 0.000 0.743 0.000 0.000 0.000
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 425 425 341 2585 0 0 0 0 -1
normalized size 1 1.00 0.80 6.08 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.876 2.503 5.841 0.000 0.969 0.000 0.000 0.000
Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 104 259 0 0 0 0 -1
normalized size 1 1.00 0.84 2.09 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.092 0.901 1.395 0.000 0.658 0.000 0.000 0.000
Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 79 222 0 0 0 0 -1
normalized size 1 1.00 0.83 2.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.073 0.493 1.412 0.000 0.878 0.000 0.000 0.000
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 79 185 0 0 0 0 -1
normalized size 1 1.00 0.83 1.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.071 0.483 1.288 0.000 1.240 0.000 0.000 0.000
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 56 123 0 0 0 0 -1
normalized size 1 1.00 0.89 1.95 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.100 1.116 0.000 0.818 0.000 0.000 0.000
Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 50 106 0 0 0 0 47
normalized size 1 1.00 0.82 1.74 0.00 0.00 0.00 0.00 0.77
time (sec) N/A 0.052 0.199 0.844 0.000 0.988 0.000 0.000 6.494
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 54 119 0 0 0 0 -1
normalized size 1 1.00 0.59 1.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 0.109 1.623 0.000 0.907 0.000 0.000 0.000
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 55 193 0 0 0 0 -1
normalized size 1 1.00 0.57 1.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.072 0.145 2.084 0.000 0.723 0.000 0.000 0.000
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 70 310 0 0 0 0 -1
normalized size 1 1.00 0.56 2.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 0.345 3.237 0.000 0.616 0.000 0.000 0.000
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 160 473 0 0 0 0 -1
normalized size 1 1.00 0.85 2.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.191 1.978 1.751 0.000 0.788 0.000 0.000 0.000
Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 113 408 0 0 0 0 -1
normalized size 1 1.00 0.76 2.74 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.167 0.918 1.514 0.000 0.982 0.000 0.000 0.000
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 115 343 0 0 0 0 -1
normalized size 1 1.00 0.77 2.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.164 1.179 1.725 0.000 1.005 0.000 0.000 0.000
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 80 251 0 0 0 0 -1
normalized size 1 1.00 0.73 2.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.130 0.335 1.727 0.000 0.844 0.000 0.000 0.000
Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 75 210 0 0 0 0 -1
normalized size 1 1.00 0.69 1.93 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.129 0.428 1.069 0.000 1.086 0.000 0.000 0.000
Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 71 197 0 0 0 0 -1
normalized size 1 1.00 0.63 1.74 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.135 0.241 1.799 0.000 0.732 0.000 0.000 0.000
Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 72 333 0 0 0 0 -1
normalized size 1 1.00 0.61 2.80 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.139 0.256 2.181 0.000 0.739 0.000 0.000 0.000
Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 105 564 0 0 0 0 -1
normalized size 1 1.00 0.66 3.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.172 0.560 3.995 0.000 0.714 0.000 0.000 0.000
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 205 618 0 0 0 0 -1
normalized size 1 1.00 0.86 2.61 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.308 2.087 3.471 0.000 0.829 0.000 0.000 0.000
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 150 534 0 0 0 0 -1
normalized size 1 1.00 0.76 2.71 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.286 1.413 3.090 0.000 1.010 0.000 0.000 0.000
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 153 450 0 0 0 0 -1
normalized size 1 1.00 0.78 2.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.289 1.448 2.625 0.000 0.920 0.000 0.000 0.000
Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 101 339 0 0 0 0 -1
normalized size 1 1.00 0.65 2.17 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.241 0.630 2.122 0.000 1.277 0.000 0.000 0.000
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 94 279 0 0 0 0 -1
normalized size 1 1.00 0.62 1.84 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.240 0.790 1.760 0.000 0.885 0.000 0.000 0.000
Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 98 248 0 0 0 0 -1
normalized size 1 1.00 0.61 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.241 0.412 2.693 0.000 1.086 0.000 0.000 0.000
Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 103 384 0 0 0 0 -1
normalized size 1 1.00 0.63 2.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.249 0.709 2.600 0.000 0.760 0.000 0.000 0.000
Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 126 618 0 0 0 0 -1
normalized size 1 1.00 0.67 3.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.264 0.735 5.149 0.000 0.830 0.000 0.000 0.000
Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 140 750 0 0 0 0 -1
normalized size 1 1.00 0.74 3.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.267 0.653 5.731 0.000 1.423 0.000 0.000 0.000
Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 251 863 0 0 0 0 -1
normalized size 1 1.00 0.82 2.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.551 4.805 3.413 0.000 0.777 0.000 0.000 0.000
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 209 776 0 0 0 0 -1
normalized size 1 1.00 0.81 3.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.508 2.151 2.999 0.000 1.022 0.000 0.000 0.000
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 189 639 0 0 0 0 -1
normalized size 1 1.00 0.73 2.48 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.509 2.810 2.756 0.000 0.869 0.000 0.000 0.000
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 137 525 0 0 0 0 -1
normalized size 1 1.00 0.65 2.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.442 1.098 2.593 0.000 1.269 0.000 0.000 0.000
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 130 412 0 0 0 0 -1
normalized size 1 1.00 0.62 1.96 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.445 1.129 2.022 0.000 0.741 0.000 0.000 0.000
Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 135 378 0 0 0 0 -1
normalized size 1 1.00 0.62 1.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.438 0.599 3.015 0.000 0.606 0.000 0.000 0.000
Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 137 575 0 0 0 0 -1
normalized size 1 1.00 0.63 2.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.445 1.189 2.661 0.000 0.623 0.000 0.000 0.000
Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 152 874 0 0 0 0 -1
normalized size 1 1.00 0.64 3.69 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.465 0.628 5.958 0.000 0.775 0.000 0.000 0.000
Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 177 1067 0 0 0 0 -1
normalized size 1 1.00 0.73 4.43 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.463 0.932 7.290 0.000 0.795 0.000 0.000 0.000
Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 219 1416 0 0 0 0 -1
normalized size 1 1.00 0.83 5.36 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.479 1.623 9.879 0.000 0.850 0.000 0.000 0.000
Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 531 531 2035 3711 0 0 0 0 -1
normalized size 1 1.00 3.83 6.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.908 28.305 5.135 0.000 0.000 0.000 0.000 0.000
Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 446 446 834 2126 0 0 0 0 -1
normalized size 1 1.00 1.87 4.77 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.286 27.172 3.569 0.000 0.000 0.000 0.000 0.000
Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 461 461 1955 2329 0 0 0 0 -1
normalized size 1 1.00 4.24 5.05 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.323 29.041 4.467 0.000 0.000 0.000 0.000 0.000
Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 384 384 709 1131 0 0 0 0 -1
normalized size 1 1.00 1.85 2.95 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.870 21.806 3.668 0.000 0.000 0.000 0.000 0.000
Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 397 397 219 1266 0 0 0 0 -1
normalized size 1 1.00 0.55 3.19 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.882 4.671 3.233 0.000 0.000 0.000 0.000 0.000
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 292 292 361 682 0 0 0 0 -1
normalized size 1 1.00 1.24 2.34 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.582 16.034 2.844 0.000 167.625 0.000 0.000 0.000
Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 558 678 0 0 0 0 -1
normalized size 1 1.00 1.87 2.27 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.574 16.126 2.766 0.000 0.000 0.000 0.000 0.000
Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 411 411 791 1103 0 0 0 0 -1
normalized size 1 1.00 1.92 2.68 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.928 22.854 4.299 0.000 0.000 0.000 0.000 0.000
Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 434 434 1192 1083 0 0 0 0 -1
normalized size 1 1.00 2.75 2.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.999 24.597 4.960 0.000 0.000 0.000 0.000 0.000
Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 486 486 881 2399 0 0 0 0 -1
normalized size 1 1.00 1.81 4.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.328 6.759 7.173 0.000 0.000 0.000 0.000 0.000
Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 543 543 2030 19829 0 0 0 0 -1
normalized size 1 1.00 3.74 36.52 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.519 27.802 13.797 0.000 0.000 0.000 0.000 0.000
Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 459 459 835 20346 0 0 0 0 -1
normalized size 1 1.00 1.82 44.33 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.120 26.817 10.696 0.000 0.000 0.000 0.000 0.000
Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 473 473 1956 14392 0 0 0 0 -1
normalized size 1 1.00 4.14 30.43 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.118 27.039 10.765 0.000 0.000 0.000 0.000 0.000
Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 390 390 371 13221 0 0 0 0 -1
normalized size 1 1.00 0.95 33.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.819 37.946 8.143 0.000 0.000 0.000 0.000 0.000
Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 404 404 614 9301 0 0 0 0 -1
normalized size 1 1.00 1.52 23.02 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.892 12.530 8.237 0.000 123.481 0.000 0.000 0.000
Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 422 422 787 7033 0 0 0 0 -1
normalized size 1 1.00 1.86 16.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.868 16.382 9.147 0.000 113.335 0.000 0.000 0.000
Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 429 429 1181 4457 0 0 0 0 -1
normalized size 1 1.00 2.75 10.39 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.898 23.762 8.897 0.000 0.000 0.000 0.000 0.000
Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 492 492 777 8216 0 0 0 0 -1
normalized size 1 1.00 1.58 16.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.219 6.411 13.270 0.000 0.000 0.000 0.000 0.000
Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 514 514 1258 6022 0 0 0 0 -1
normalized size 1 1.00 2.45 11.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.309 24.344 17.258 0.000 0.000 0.000 0.000 0.000
Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 574 574 949 10743 0 0 0 0 -1
normalized size 1 1.00 1.65 18.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.623 6.772 25.885 0.000 0.000 0.000 0.000 0.000
Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 575 575 932 111631 0 0 0 0 -1
normalized size 1 1.00 1.62 194.14 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.415 27.052 36.489 0.000 0.000 0.000 0.000 0.000
Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 589 589 2024 85607 0 0 0 0 -1
normalized size 1 1.00 3.44 145.34 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.487 27.621 39.143 0.000 0.000 0.000 0.000 0.000
Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 483 483 777 85489 0 0 0 0 -1
normalized size 1 1.00 1.61 177.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.075 25.990 29.464 0.000 0.000 0.000 0.000 0.000
Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 497 497 1954 65216 0 0 0 0 -1
normalized size 1 1.00 3.93 131.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.079 26.371 29.355 0.000 0.000 0.000 0.000 0.000
Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 505 505 831 63272 0 0 0 0 -1
normalized size 1 1.00 1.65 125.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.105 24.058 31.065 0.000 0.000 0.000 0.000 0.000
Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 519 519 1211 45147 0 0 0 0 -1
normalized size 1 1.00 2.33 86.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.138 23.748 30.135 0.000 0.000 0.000 0.000 0.000
Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 514 514 837 36688 0 0 0 0 -1
normalized size 1 1.00 1.63 71.38 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.187 24.334 30.272 0.000 0.000 0.000 0.000 0.000
Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 520 520 1226 25322 0 0 0 0 -1
normalized size 1 1.00 2.36 48.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.226 24.548 28.635 0.000 0.000 0.000 0.000 0.000
Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 596 596 922 46134 0 0 0 0 -1
normalized size 1 1.00 1.55 77.41 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.593 6.727 57.541 0.000 0.000 0.000 0.000 0.000
Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 614 614 1308 32645 0 0 0 0 -1
normalized size 1 1.00 2.13 53.17 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.721 23.490 78.670 0.000 0.000 0.000 0.000 0.000
Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 685 685 1014 49016 0 0 0 0 -1
normalized size 1 1.00 1.48 71.56 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.028 6.904 111.396 0.000 0.000 0.000 0.000 0.000
Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 671 671 2102 300244 0 0 0 0 -1
normalized size 1 1.00 3.13 447.46 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.832 27.814 139.890 0.000 0.000 0.000 0.000 0.000
Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 557 557 937 180834 0 0 0 0 -1
normalized size 1 1.00 1.68 324.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.364 26.846 94.455 0.000 0.000 0.000 0.000 0.000
Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 571 571 2020 144252 0 0 0 0 -1
normalized size 1 1.00 3.54 252.63 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.378 26.497 111.918 0.000 0.000 0.000 0.000 0.000
Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 591 591 900 237416 0 0 0 0 -1
normalized size 1 1.00 1.52 401.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.430 26.826 100.678 0.000 0.000 0.000 0.000 0.000
Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 597 597 1263 192036 0 0 0 0 -1
normalized size 1 1.00 2.12 321.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.520 24.063 114.161 0.000 0.000 0.000 0.000 0.000
Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 574 574 892 179434 0 0 0 0 -1
normalized size 1 1.00 1.55 312.60 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.447 26.718 115.350 0.000 0.000 0.000 0.000 0.000
Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 592 592 1263 138380 0 0 0 0 -1
normalized size 1 1.00 2.13 233.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.471 23.847 116.408 0.000 0.000 0.000 0.000 0.000
Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 579 579 900 112960 0 0 0 0 -1
normalized size 1 1.00 1.55 195.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.532 6.630 110.043 0.000 0.000 0.000 0.000 0.000
Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 593 593 1276 85165 0 0 0 0 -1
normalized size 1 1.00 2.15 143.62 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.570 24.457 104.026 0.000 0.000 0.000 0.000 0.000
Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F(-1) F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 674 674 996 150599 0 0 0 0 -1
normalized size 1 1.00 1.48 223.44 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.952 6.819 184.058 0.000 0.000 0.000 0.000 0.000
Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B C B F F F F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 183 374 117 442 0 0 0 0 -1
normalized size 1 2.04 0.64 2.42 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.428 0.320 0.609 0.000 1.071 0.000 0.000 0.000
Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 229 229 290 0 0 0 0 0 -1
normalized size 1 1.00 1.27 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.370 54.884 6.004 0.000 0.761 0.000 0.000 0.000
Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 285 0 0 0 0 0 -1
normalized size 1 1.00 1.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.149 1.050 4.431 0.000 0.628 0.000 0.000 0.000
Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 97 97 240 0 0 0 0 0 -1
normalized size 1 1.00 2.47 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.993 1.772 0.000 0.581 0.000 0.000 0.000
Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 3815 0 0 0 0 0 -1
normalized size 1 1.00 24.15 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 20.267 1.054 0.000 0.734 0.000 0.000 0.000
Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 170 170 4727 0 0 0 0 0 -1
normalized size 1 1.00 27.81 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.069 25.541 1.115 0.000 0.801 0.000 0.000 0.000
Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 170 170 7781 0 0 0 0 0 -1
normalized size 1 1.00 45.77 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.069 28.256 1.398 0.000 0.744 0.000 0.000 0.000
Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F(-1) F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 170 170 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.070 67.681 8.120 0.000 1.039 0.000 0.000 0.000
Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 187 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 7.464 0.276 0.000 0.954 0.000 0.000 0.000
Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 187 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.116 0.791 0.219 0.000 0.668 0.000 0.000 0.000
Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 187 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.106 0.962 0.215 0.000 0.714 0.000 0.000 0.000
Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 154 154 185 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 1.076 0.174 0.000 0.634 0.000 0.000 0.000
Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 154 154 185 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 2.748 0.197 0.000 0.756 0.000 0.000 0.000
Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 187 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.118 3.038 0.181 0.000 0.936 0.000 0.000 0.000
Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 158 158 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 2.412 1.331 0.000 0.837 0.000 0.000 0.000
Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 459 0 558 814 0 0 1196
normalized size 1 1.00 1.81 0.00 2.20 3.20 0.00 0.00 4.71
time (sec) N/A 0.164 6.114 0.735 0.997 0.921 0.000 0.000 19.094
Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 169 0 286 381 0 0 641
normalized size 1 1.00 1.01 0.00 1.71 2.28 0.00 0.00 3.84
time (sec) N/A 0.112 0.902 0.613 1.063 0.730 0.000 0.000 11.621
Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 74 0 117 142 0 340 197
normalized size 1 1.00 0.80 0.00 1.27 1.54 0.00 3.70 2.14
time (sec) N/A 0.072 0.177 0.489 0.784 0.766 0.000 0.355 7.512
Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 27 26 33 99 26 26
normalized size 1 1.00 1.00 1.04 1.00 1.27 3.81 1.00 1.00
time (sec) N/A 0.027 0.024 0.027 0.294 0.716 2.206 1.273 6.322
Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 99 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.115 0.118 1.010 0.000 0.577 0.000 0.000 0.000
Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 157 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.226 0.621 0.515 0.000 0.774 0.000 0.000 0.000
Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 260 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.421 3.996 0.845 0.000 0.608 0.000 0.000 0.000
Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.094 4.218 0.391 0.000 0.685 0.000 0.000 0.000
Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 127 127 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 5.883 0.313 0.000 0.867 0.000 0.000 0.000
Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 2.229 0.149 0.000 0.790 0.000 0.000 0.000
Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 4.916 0.328 0.000 0.693 0.000 0.000 0.000
Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 55.454 0.204 0.000 0.887 0.000 0.000 0.000
Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 5.697 0.188 0.000 0.832 0.000 0.000 0.000
Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 1.931 0.204 0.000 0.705 0.000 0.000 0.000
Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.094 1.771 0.176 0.000 0.714 0.000 0.000 0.000
Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.099 1.924 0.173 0.000 0.687 0.000 0.000 0.000
Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.100 2.104 0.181 0.000 0.907 0.000 0.000 0.000
Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 598 598 826 0 0 0 0 0 -1
normalized size 1 1.00 1.38 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.018 6.095 0.365 0.000 0.892 0.000 0.000 0.000
Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 311 420 319 0 0 0 0 0 -1
normalized size 1 1.35 1.03 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.512 5.047 0.332 0.000 1.043 0.000 0.000 0.000
Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 168 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.293 0.959 0.336 0.000 1.032 0.000 0.000 0.000
Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 132 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.388 0.322 0.000 0.786 0.000 0.000 0.000
Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 1.669 0.594 0.000 0.667 0.000 0.000 0.000
Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 142 142 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 5.632 0.327 0.000 0.771 0.000 0.000 0.000
Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.104 4.727 0.328 0.000 0.839 0.000 0.000 0.000

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [594] had the largest ratio of [.5200]

Table 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 3 2 1.00 19 0.105
2 A 5 3 1.00 19 0.158
3 A 3 2 1.00 19 0.105
4 A 4 3 1.00 19 0.158
5 A 3 2 1.00 19 0.105
6 A 3 3 1.00 19 0.158
7 A 2 1 1.27 17 0.059
8 A 2 2 1.00 17 0.118
9 A 3 3 1.00 19 0.158
10 A 4 3 1.00 19 0.158
11 A 3 2 1.00 19 0.105
12 A 4 3 1.00 19 0.158
13 A 6 4 1.00 21 0.190
14 A 3 2 1.00 21 0.095
15 A 5 4 1.00 21 0.190
16 A 3 2 1.00 21 0.095
17 A 4 4 1.00 21 0.190
18 A 2 2 1.00 19 0.105
19 A 3 2 1.00 19 0.105
20 A 3 3 1.00 21 0.143
21 A 2 2 1.00 21 0.095
22 A 3 3 1.00 21 0.143
23 A 4 3 1.00 21 0.143
24 A 3 2 1.00 21 0.095
25 A 4 3 1.00 21 0.143
26 A 3 2 1.00 21 0.095
27 A 7 4 1.00 21 0.190
28 A 3 2 1.00 21 0.095
29 A 6 4 1.00 21 0.190
30 A 3 2 1.00 21 0.095
31 A 5 4 1.00 21 0.190
32 A 2 2 1.00 19 0.105
33 A 3 2 1.00 19 0.105
34 A 4 4 1.00 21 0.190
35 A 3 2 1.00 21 0.095
36 A 2 2 1.00 21 0.095
37 A 2 2 1.00 21 0.095
38 A 4 3 1.00 21 0.143
39 A 4 3 1.00 21 0.143
40 A 4 3 1.00 21 0.143
41 A 3 2 1.00 21 0.095
42 A 11 4 1.00 21 0.190
43 A 3 2 1.00 21 0.095
44 A 10 4 1.00 21 0.190
45 A 2 2 1.00 19 0.105
46 A 3 2 1.00 19 0.105
47 A 9 6 1.00 21 0.286
48 A 3 2 1.00 21 0.095
49 A 8 6 1.00 21 0.286
50 A 3 2 1.00 21 0.095
51 A 4 3 1.00 21 0.143
52 A 3 2 1.00 21 0.095
53 A 3 3 1.00 21 0.143
54 A 2 1 1.00 21 0.048
55 A 2 2 1.00 21 0.095
56 A 2 2 1.00 19 0.105
57 A 4 3 1.00 19 0.158
58 A 3 3 1.00 21 0.143
59 A 4 3 1.00 21 0.143
60 A 3 2 1.00 21 0.095
61 A 4 3 1.00 21 0.143
62 A 5 4 1.00 21 0.190
63 A 3 2 1.00 21 0.095
64 A 4 4 1.00 21 0.190
65 A 2 2 1.00 21 0.095
66 A 3 3 1.00 21 0.143
67 A 3 2 1.00 21 0.095
68 A 2 2 1.00 21 0.095
69 A 2 2 1.00 19 0.105
70 A 4 3 1.00 19 0.158
71 A 4 3 1.00 21 0.143
72 A 4 3 1.00 21 0.143
73 A 4 2 1.00 21 0.095
74 A 4 3 1.00 21 0.143
75 A 5 4 1.00 21 0.190
76 A 2 2 1.00 21 0.095
77 A 4 4 1.00 21 0.190
78 A 3 2 1.00 21 0.095
79 A 3 3 1.00 21 0.143
80 A 3 2 1.00 21 0.095
81 A 1 1 1.00 21 0.048
82 A 2 2 1.00 19 0.105
83 A 4 3 1.00 19 0.158
84 A 5 3 1.00 21 0.143
85 A 4 3 1.00 21 0.143
86 A 5 2 1.00 21 0.095
87 A 4 3 1.00 21 0.143
88 A 5 2 1.00 21 0.095
89 A 2 2 1.00 21 0.095
90 A 2 2 1.00 21 0.095
91 A 3 2 1.00 21 0.095
92 A 4 2 1.00 21 0.095
93 A 3 2 1.00 21 0.095
94 A 6 2 1.00 21 0.095
95 A 2 2 1.00 19 0.105
96 A 4 3 1.00 19 0.158
97 A 10 3 1.00 21 0.143
98 A 4 3 1.00 21 0.143
99 A 10 2 1.00 21 0.095
100 A 4 3 1.00 21 0.143
101 A 3 2 1.00 23 0.087
102 A 4 2 1.00 23 0.087
103 A 3 2 1.00 23 0.087
104 A 3 2 1.00 23 0.087
105 A 3 2 1.00 23 0.087
106 A 2 2 1.00 23 0.087
107 A 2 2 1.00 21 0.095
108 A 3 3 1.00 21 0.143
109 A 3 3 1.00 23 0.130
110 A 5 5 1.00 23 0.217
111 A 5 5 1.00 23 0.217
112 A 7 6 1.00 23 0.261
113 A 7 6 1.00 23 0.261
114 A 3 2 1.00 23 0.087
115 A 5 2 1.00 23 0.087
116 A 3 2 1.00 23 0.087
117 A 4 2 1.00 23 0.087
118 A 3 2 1.00 23 0.087
119 A 3 2 1.00 23 0.087
120 A 2 2 1.00 21 0.095
121 A 4 4 1.00 21 0.190
122 A 1 1 1.00 23 0.043
123 A 4 4 1.00 23 0.174
124 A 4 3 1.00 23 0.130
125 A 6 5 1.00 23 0.217
126 A 6 5 1.00 23 0.217
127 A 3 2 1.00 23 0.087
128 A 5 2 1.00 23 0.087
129 A 3 2 1.00 23 0.087
130 A 4 2 1.00 23 0.087
131 A 2 2 1.00 21 0.095
132 A 5 4 1.00 21 0.190
133 A 2 2 1.00 23 0.087
134 A 4 4 1.00 23 0.174
135 A 1 1 1.00 23 0.043
136 A 5 4 1.00 23 0.174
137 A 5 3 1.00 23 0.130
138 A 7 5 1.00 23 0.217
139 A 3 2 1.00 23 0.087
140 A 7 2 1.00 23 0.087
141 A 3 2 1.00 23 0.087
142 A 6 2 1.00 23 0.087
143 A 3 2 1.00 23 0.087
144 A 5 2 1.00 23 0.087
145 A 2 2 1.00 21 0.095
146 A 6 4 1.00 21 0.190
147 A 3 2 1.00 23 0.087
148 A 5 5 1.00 23 0.217
149 A 2 2 1.00 23 0.087
150 A 5 5 1.00 23 0.217
151 A 1 1 1.00 23 0.043
152 A 6 4 1.00 23 0.174
153 A 6 3 1.00 23 0.130
154 A 8 5 1.00 23 0.217
155 A 8 5 1.00 23 0.217
156 A 3 2 1.00 23 0.087
157 A 3 2 1.00 23 0.087
158 A 3 2 1.00 23 0.087
159 A 2 2 1.00 23 0.087
160 A 3 2 1.00 23 0.087
161 A 1 1 1.00 23 0.043
162 A 2 2 1.00 21 0.095
163 A 4 4 1.00 21 0.190
164 A 4 4 1.00 23 0.174
165 A 6 5 1.00 23 0.217
166 A 6 5 1.00 23 0.217
167 A 8 6 1.00 23 0.261
168 A 8 5 1.00 23 0.217
169 A 3 2 1.00 23 0.087
170 A 2 2 1.00 23 0.087
171 A 3 2 1.00 23 0.087
172 A 1 1 1.00 23 0.043
173 A 3 2 1.00 23 0.087
174 A 3 3 1.00 23 0.130
175 A 2 2 1.00 21 0.095
176 A 5 4 1.00 21 0.190
177 A 5 5 1.00 23 0.217
178 A 7 6 1.00 23 0.261
179 A 7 5 1.00 23 0.217
180 A 9 6 1.00 23 0.261
181 A 9 5 1.00 23 0.217
182 A 3 2 1.00 23 0.087
183 A 3 2 1.00 23 0.087
184 A 2 2 1.00 23 0.087
185 A 3 2 1.00 23 0.087
186 A 1 1 1.00 23 0.043
187 A 3 2 1.00 23 0.087
188 A 4 3 1.00 23 0.130
189 A 3 2 1.00 23 0.087
190 A 3 3 1.00 23 0.130
191 A 2 2 1.00 21 0.095
192 A 6 4 1.00 21 0.190
193 A 6 5 1.00 23 0.217
194 A 8 6 1.00 23 0.261
195 A 8 5 1.00 23 0.217
196 A 5 4 1.00 23 0.174
197 A 4 4 1.00 23 0.174
198 A 4 4 1.00 23 0.174
199 A 3 3 1.00 23 0.130
200 A 3 3 1.00 23 0.130
201 A 4 4 1.00 23 0.174
202 A 4 4 1.00 23 0.174
203 A 5 4 1.00 23 0.174
204 A 6 5 1.00 25 0.200
205 A 5 5 1.00 25 0.200
206 A 5 5 1.00 25 0.200
207 A 4 4 1.00 25 0.160
208 A 4 4 1.00 25 0.160
209 A 4 4 1.00 25 0.160
210 A 4 4 1.00 25 0.160
211 A 5 5 1.00 25 0.200
212 A 4 4 1.00 25 0.160
213 A 5 4 1.00 25 0.160
214 A 7 5 1.00 25 0.200
215 A 6 5 1.00 25 0.200
216 A 6 5 1.00 25 0.200
217 A 5 4 1.00 25 0.160
218 A 5 4 1.00 25 0.160
219 A 5 5 1.00 25 0.200
220 A 5 5 1.00 25 0.200
221 A 5 5 1.00 25 0.200
222 A 5 5 1.00 25 0.200
223 A 6 5 1.00 25 0.200
224 A 7 5 1.00 25 0.200
225 A 6 4 1.00 25 0.160
226 A 6 4 1.00 25 0.160
227 A 6 5 1.00 25 0.200
228 A 6 5 1.00 25 0.200
229 A 5 4 1.00 25 0.160
230 A 5 4 1.00 25 0.160
231 A 6 6 1.00 25 0.240
232 A 6 6 1.00 25 0.240
233 A 5 4 1.00 25 0.160
234 A 4 4 1.00 25 0.160
235 A 4 4 1.00 25 0.160
236 A 3 3 1.00 25 0.120
237 A 3 3 1.00 25 0.120
238 A 3 3 1.00 25 0.120
239 A 3 3 1.00 25 0.120
240 A 4 4 1.00 25 0.160
241 A 4 4 1.00 25 0.160
242 A 5 4 1.00 25 0.160
243 A 5 4 1.00 25 0.160
244 A 4 4 1.00 25 0.160
245 A 4 4 1.00 25 0.160
246 A 3 3 1.00 25 0.120
247 A 3 3 1.00 25 0.120
248 A 4 4 1.00 25 0.160
249 A 4 4 1.00 25 0.160
250 A 5 5 1.00 25 0.200
251 A 5 5 1.00 25 0.200
252 A 6 5 1.00 25 0.200
253 A 6 5 1.00 25 0.200
254 A 5 5 1.00 25 0.200
255 A 5 5 1.00 25 0.200
256 A 4 4 1.00 25 0.160
257 A 4 4 1.00 25 0.160
258 A 4 4 1.00 25 0.160
259 A 4 4 1.00 25 0.160
260 A 5 4 1.00 25 0.160
261 A 5 4 1.00 25 0.160
262 A 6 5 1.00 25 0.200
263 A 6 4 1.00 25 0.160
264 A 5 4 1.00 25 0.160
265 A 5 4 1.00 25 0.160
266 A 4 3 1.00 25 0.120
267 A 4 3 1.00 25 0.120
268 A 5 5 1.00 25 0.200
269 A 5 5 1.00 25 0.200
270 A 6 4 1.00 25 0.160
271 A 6 4 1.00 25 0.160
272 A 7 5 1.00 25 0.200
273 A 8 8 1.00 27 0.296
274 A 7 7 1.00 27 0.259
275 A 6 6 1.00 27 0.222
276 A 1 1 1.00 27 0.037
277 A 2 2 1.00 27 0.074
278 A 3 2 1.00 27 0.074
279 A 4 2 1.00 27 0.074
280 A 10 9 1.00 27 0.333
281 A 9 8 1.00 27 0.296
282 A 8 7 1.00 27 0.259
283 A 7 7 1.00 27 0.259
284 A 7 7 1.00 27 0.259
285 A 1 1 1.00 27 0.037
286 A 2 2 1.00 27 0.074
287 A 3 2 1.00 27 0.074
288 A 4 2 1.00 27 0.074
289 A 10 8 1.00 27 0.296
290 A 9 7 1.00 27 0.259
291 A 8 7 1.00 27 0.259
292 A 8 8 1.00 27 0.296
293 A 7 7 1.00 27 0.259
294 A 1 1 1.00 27 0.037
295 A 2 2 1.00 27 0.074
296 A 3 2 1.00 27 0.074
297 A 4 2 1.00 27 0.074
298 A 8 8 1.00 27 0.296
299 A 7 7 1.00 27 0.259
300 A 6 6 1.00 27 0.222
301 A 1 1 1.00 27 0.037
302 A 2 2 1.00 27 0.074
303 A 3 2 1.00 27 0.074
304 A 4 2 1.00 27 0.074
305 A 8 8 1.00 27 0.296
306 A 7 7 1.00 27 0.259
307 A 8 8 1.00 27 0.296
308 A 1 1 1.00 27 0.037
309 A 2 2 1.00 27 0.074
310 A 3 2 1.00 27 0.074
311 A 4 2 1.00 27 0.074
312 A 5 2 1.00 27 0.074
313 A 9 9 1.00 27 0.333
314 A 8 8 1.00 27 0.296
315 A 7 7 1.00 27 0.259
316 A 1 1 1.00 27 0.037
317 A 2 2 1.00 27 0.074
318 A 3 2 1.00 27 0.074
319 A 4 2 1.00 27 0.074
320 A 5 2 1.00 27 0.074
321 A 3 3 1.00 27 0.111
322 A 3 3 1.00 27 0.111
323 A 3 3 1.00 27 0.111
324 A 3 3 1.00 27 0.111
325 A 3 3 1.00 27 0.111
326 A 3 3 1.00 27 0.111
327 A 2 2 1.00 23 0.087
328 A 2 2 1.00 23 0.087
329 A 2 2 1.00 23 0.087
330 A 2 2 1.00 21 0.095
331 A 2 2 1.00 23 0.087
332 A 2 2 1.00 23 0.087
333 A 2 2 1.00 23 0.087
334 A 2 2 1.00 23 0.087
335 A 3 3 1.00 25 0.120
336 A 3 3 1.00 25 0.120
337 A 3 3 1.00 25 0.120
338 A 3 3 1.00 25 0.120
339 A 3 3 1.00 25 0.120
340 A 3 3 1.00 25 0.120
341 A 3 3 1.00 25 0.120
342 A 3 3 1.00 23 0.130
343 A 3 2 1.00 21 0.095
344 A 3 2 1.00 21 0.095
345 A 3 2 1.00 21 0.095
346 A 2 2 1.00 19 0.105
347 A 2 2 1.00 19 0.105
348 A 2 2 1.00 21 0.095
349 A 2 2 1.00 21 0.095
350 A 3 3 1.00 21 0.143
351 A 3 3 1.00 21 0.143
352 A 3 3 1.00 21 0.143
353 A 3 3 1.00 21 0.143
354 A 3 3 1.00 25 0.120
355 A 3 3 1.00 25 0.120
356 A 3 3 1.00 25 0.120
357 A 3 3 1.00 25 0.120
358 A 3 3 1.00 25 0.120
359 A 3 3 1.00 25 0.120
360 A 4 2 1.00 27 0.074
361 A 3 2 1.00 27 0.074
362 A 2 2 1.00 27 0.074
363 A 1 1 1.00 27 0.037
364 A 3 3 1.00 25 0.120
365 A 3 3 1.00 27 0.111
366 A 3 3 1.00 27 0.111
367 A 3 2 1.00 27 0.074
368 A 2 2 1.00 27 0.074
369 A 1 1 1.00 27 0.037
370 A 3 3 1.00 27 0.111
371 A 3 3 1.00 27 0.111
372 A 4 4 1.00 27 0.148
373 A 4 4 1.00 27 0.148
374 A 4 4 1.00 25 0.160
375 A 4 4 1.00 27 0.148
376 A 4 3 1.00 19 0.158
377 A 3 2 1.00 19 0.105
378 A 2 1 1.27 17 0.059
379 A 4 3 1.00 17 0.176
380 A 3 3 1.00 19 0.158
381 A 4 4 1.00 19 0.210
382 A 4 3 1.00 19 0.158
383 A 3 3 1.00 19 0.158
384 A 3 3 1.00 19 0.158
385 A 3 2 1.00 19 0.105
386 A 3 2 1.00 19 0.105
387 A 4 3 1.00 21 0.143
388 A 3 2 1.00 21 0.095
389 A 2 2 1.00 19 0.105
390 A 6 4 1.00 19 0.210
391 A 3 3 1.00 21 0.143
392 A 4 4 1.00 21 0.190
393 A 6 4 1.00 21 0.190
394 A 5 4 1.00 21 0.190
395 A 4 4 1.00 21 0.190
396 A 3 2 1.00 21 0.095
397 A 4 4 1.00 21 0.190
398 A 4 3 1.00 21 0.143
399 A 4 3 1.00 21 0.143
400 A 3 2 1.00 21 0.095
401 A 3 2 1.00 21 0.095
402 A 2 2 1.00 19 0.105
403 A 6 4 1.00 19 0.210
404 A 6 5 1.00 21 0.238
405 A 4 4 1.00 21 0.190
406 A 6 5 1.00 21 0.238
407 A 5 5 1.00 21 0.238
408 A 2 2 1.00 21 0.095
409 A 5 5 1.00 21 0.238
410 A 5 5 1.00 21 0.238
411 A 5 4 1.00 21 0.190
412 A 5 4 1.00 21 0.190
413 A 3 2 1.00 21 0.095
414 A 3 2 1.00 21 0.095
415 A 2 2 1.00 19 0.105
416 A 6 4 1.00 19 0.210
417 A 7 5 1.00 21 0.238
418 A 8 6 1.00 21 0.286
419 A 10 5 1.00 21 0.238
420 A 7 3 1.00 21 0.143
421 A 7 4 1.00 21 0.190
422 A 7 4 1.00 21 0.190
423 A 7 4 1.00 21 0.190
424 A 10 6 1.00 21 0.286
425 A 3 2 1.00 21 0.095
426 A 3 2 1.00 21 0.095
427 A 2 2 1.00 19 0.105
428 A 6 4 1.00 19 0.210
429 A 4 3 1.00 21 0.143
430 A 5 4 1.00 21 0.190
431 A 7 6 1.00 21 0.286
432 A 6 6 1.00 21 0.286
433 A 5 5 1.00 21 0.238
434 A 5 5 1.00 21 0.238
435 A 6 6 1.00 21 0.286
436 A 7 6 1.00 21 0.286
437 A 3 2 1.00 21 0.095
438 A 3 2 1.00 21 0.095
439 A 3 2 1.00 21 0.095
440 A 2 2 1.00 19 0.105
441 A 4 3 1.00 19 0.158
442 A 4 3 1.00 21 0.143
443 A 5 4 1.00 21 0.190
444 A 7 6 1.00 21 0.286
445 A 6 6 1.00 21 0.286
446 A 5 5 1.00 21 0.238
447 A 6 6 1.00 21 0.286
448 A 7 6 1.00 21 0.286
449 A 3 2 1.00 21 0.095
450 A 3 2 1.00 21 0.095
451 A 3 2 1.00 21 0.095
452 A 2 2 1.00 19 0.105
453 A 4 3 1.00 19 0.158
454 A 4 3 1.00 21 0.143
455 A 5 4 1.00 21 0.190
456 A 7 7 1.00 21 0.333
457 A 6 6 1.00 21 0.286
458 A 6 6 1.00 21 0.286
459 A 7 7 1.00 21 0.333
460 A 8 7 1.00 21 0.333
461 A 3 2 1.00 21 0.095
462 A 3 2 1.00 21 0.095
463 A 3 2 1.00 21 0.095
464 A 2 2 1.00 19 0.105
465 A 4 3 1.00 19 0.158
466 A 4 3 1.00 21 0.143
467 A 11 7 1.00 21 0.333
468 A 11 7 1.00 21 0.333
469 A 11 7 1.00 21 0.333
470 A 11 6 1.00 21 0.286
471 A 12 7 1.00 21 0.333
472 A 13 7 1.00 21 0.333
473 A 3 2 1.00 23 0.087
474 A 3 2 1.00 23 0.087
475 A 2 2 1.00 21 0.095
476 A 5 4 1.00 21 0.190
477 A 6 5 1.00 23 0.217
478 A 7 6 1.00 23 0.261
479 A 8 8 1.00 23 0.348
480 A 7 7 1.00 23 0.304
481 A 7 7 1.00 23 0.304
482 A 7 7 1.00 23 0.304
483 A 3 2 1.00 23 0.087
484 A 3 2 1.00 23 0.087
485 A 2 2 1.00 21 0.095
486 A 6 5 1.00 21 0.238
487 A 6 5 1.00 23 0.217
488 A 7 6 1.00 23 0.261
489 A 8 7 1.00 23 0.304
490 A 7 7 1.00 23 0.304
491 A 6 6 1.00 23 0.261
492 A 7 7 1.00 23 0.304
493 A 8 7 1.00 23 0.304
494 A 3 2 1.00 23 0.087
495 A 3 2 1.00 23 0.087
496 A 2 2 1.00 21 0.095
497 A 7 6 1.00 21 0.286
498 A 7 6 1.00 23 0.261
499 A 7 6 1.00 23 0.261
500 A 9 8 1.00 23 0.348
501 A 8 8 1.00 23 0.348
502 A 7 7 1.00 23 0.304
503 A 7 7 1.00 23 0.304
504 A 8 8 1.00 23 0.348
505 A 9 8 1.00 23 0.348
506 A 3 2 1.00 23 0.087
507 A 3 2 1.00 23 0.087
508 A 2 2 1.00 21 0.095
509 A 5 4 1.00 21 0.190
510 A 6 5 1.00 23 0.217
511 A 7 6 1.00 23 0.261
512 A 7 7 1.00 23 0.304
513 A 6 6 1.00 23 0.261
514 A 6 6 1.00 23 0.261
515 A 7 7 1.00 23 0.304
516 A 3 2 1.00 23 0.087
517 A 3 2 1.00 23 0.087
518 A 2 2 1.00 21 0.095
519 A 6 5 1.00 21 0.238
520 A 7 6 1.00 23 0.261
521 A 8 7 1.00 23 0.304
522 A 8 7 1.00 23 0.304
523 A 7 7 1.00 23 0.304
524 A 6 6 1.00 23 0.261
525 A 7 7 1.00 23 0.304
526 A 8 7 1.00 23 0.304
527 A 3 2 1.00 23 0.087
528 A 3 2 1.00 23 0.087
529 A 2 2 1.00 21 0.095
530 A 7 6 1.00 21 0.286
531 A 8 6 1.00 23 0.261
532 A 9 7 1.00 23 0.304
533 A 9 8 1.00 23 0.348
534 A 8 8 1.00 23 0.348
535 A 7 7 1.00 23 0.304
536 A 7 7 1.00 23 0.304
537 A 8 8 1.00 23 0.348
538 A 9 8 1.00 23 0.348
539 A 5 4 1.00 23 0.174
540 A 4 4 1.00 23 0.174
541 A 4 4 1.00 23 0.174
542 A 3 3 1.00 23 0.130
543 A 3 3 1.00 23 0.130
544 A 4 4 1.00 23 0.174
545 A 4 4 1.00 23 0.174
546 A 5 4 1.00 23 0.174
547 A 6 5 1.00 25 0.200
548 A 5 5 1.00 25 0.200
549 A 5 5 1.00 25 0.200
550 A 4 4 1.00 25 0.160
551 A 4 4 1.00 25 0.160
552 A 4 4 1.00 25 0.160
553 A 4 4 1.00 25 0.160
554 A 5 5 1.00 25 0.200
555 A 7 6 1.00 25 0.240
556 A 6 6 1.00 25 0.240
557 A 6 6 1.00 25 0.240
558 A 5 5 1.00 25 0.200
559 A 5 5 1.00 25 0.200
560 A 5 5 1.00 25 0.200
561 A 5 5 1.00 25 0.200
562 A 5 5 1.00 25 0.200
563 A 5 5 1.00 25 0.200
564 A 8 6 1.00 25 0.240
565 A 7 6 1.00 25 0.240
566 A 7 6 1.00 25 0.240
567 A 6 5 1.00 25 0.200
568 A 6 5 1.00 25 0.200
569 A 6 5 1.00 25 0.200
570 A 6 5 1.00 25 0.200
571 A 6 6 1.00 25 0.240
572 A 6 6 1.00 25 0.240
573 A 6 5 1.00 25 0.200
574 A 15 12 1.00 25 0.480
575 A 14 12 1.00 25 0.480
576 A 14 12 1.00 25 0.480
577 A 13 11 1.00 25 0.440
578 A 13 11 1.00 25 0.440
579 A 9 7 1.00 25 0.280
580 A 9 7 1.00 25 0.280
581 A 13 11 1.00 25 0.440
582 A 13 11 1.00 25 0.440
583 A 14 12 1.00 25 0.480
584 A 15 12 1.00 25 0.480
585 A 14 12 1.00 25 0.480
586 A 14 12 1.00 25 0.480
587 A 13 11 1.00 25 0.440
588 A 13 11 1.00 25 0.440
589 A 13 11 1.00 25 0.440
590 A 13 11 1.00 25 0.440
591 A 14 12 1.00 25 0.480
592 A 14 12 1.00 25 0.480
593 A 15 12 1.00 25 0.480
594 A 15 13 1.00 25 0.520
595 A 15 13 1.00 25 0.520
596 A 14 12 1.00 25 0.480
597 A 14 12 1.00 25 0.480
598 A 14 12 1.00 25 0.480
599 A 14 12 1.00 25 0.480
600 A 14 12 1.00 25 0.480
601 A 14 12 1.00 25 0.480
602 A 15 13 1.00 25 0.520
603 A 15 13 1.00 25 0.520
604 A 16 13 1.00 25 0.520
605 A 16 13 1.00 25 0.520
606 A 15 12 1.00 25 0.480
607 A 15 12 1.00 25 0.480
608 A 15 13 1.00 25 0.520
609 A 15 13 1.00 25 0.520
610 A 15 12 1.00 25 0.480
611 A 15 12 1.00 25 0.480
612 A 15 12 1.00 25 0.480
613 A 15 12 1.00 25 0.480
614 A 16 13 1.00 25 0.520
615 B 2 2 2.04 27 0.074
616 A 4 4 1.00 23 0.174
617 A 3 3 1.00 23 0.130
618 A 2 2 1.00 21 0.095
619 A 1 1 1.00 23 0.043
620 A 1 1 1.00 23 0.043
621 A 1 1 1.00 23 0.043
622 A 1 1 1.00 23 0.043
623 A 2 2 1.00 25 0.080
624 A 2 2 1.00 25 0.080
625 A 2 2 1.00 25 0.080
626 A 2 2 1.00 25 0.080
627 A 2 2 1.00 25 0.080
628 A 2 2 1.00 25 0.080
629 A 2 2 1.00 23 0.087
630 A 3 2 1.00 21 0.095
631 A 3 2 1.00 21 0.095
632 A 3 2 1.00 21 0.095
633 A 2 2 1.00 19 0.105
634 A 5 3 1.00 19 0.158
635 A 6 4 1.00 21 0.190
636 A 7 5 1.00 21 0.238
637 A 2 2 1.00 21 0.095
638 A 2 2 1.00 21 0.095
639 A 2 2 1.00 21 0.095
640 A 2 2 1.00 21 0.095
641 A 2 2 1.00 25 0.080
642 A 2 2 1.00 25 0.080
643 A 2 2 1.00 25 0.080
644 A 2 2 1.00 25 0.080
645 A 2 2 1.00 25 0.080
646 A 2 2 1.00 25 0.080
647 A 9 7 1.00 27 0.259
648 A 5 5 1.35 27 0.185
649 A 3 3 1.00 27 0.111
650 A 1 1 1.00 27 0.037
651 A 2 2 1.00 25 0.080
652 A 2 2 1.00 27 0.074
653 A 2 2 1.00 27 0.074

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