Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133,
134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152,
153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171,
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, 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, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648,
649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667,
668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686,
687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705,
706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724,
725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743,
744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762,
763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781,
782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800,
801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819,
820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838,
839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857,
858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876,
877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895,
896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914,
915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 929, 930, 932, 933, 934, 935
}
B grade: { }
C grade: { 172, 542, 928, 931 }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 62, 63, 65, 66, 68, 69, 70, 71, 77, 78, 80, 81, 83, 84, 86, 87, 89, 95, 96, 98, 99, 101, 102, 104, 105,
107, 113, 114, 121, 122, 124, 127, 132, 134, 137, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 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, 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, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378,
379, 380, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 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, 427, 428, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442,
443, 444, 445, 446, 447, 448, 449, 450, 455, 456, 457, 459, 460, 461, 462, 463, 464, 465, 466,
467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 484, 489, 490, 491, 492, 493, 494, 495, 496,
497, 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, 550, 552, 555, 556, 557, 558, 559, 560, 561, 562, 563,
564, 565, 566, 567, 568, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583,
585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 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, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642,
643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661,
662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680,
681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699,
700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718,
719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 732, 733, 735, 738, 739, 740, 741,
742, 743, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761,
762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780,
781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799,
800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818,
819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837,
838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856,
857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875,
876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894,
895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913,
914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932
}
B grade: { 365, 381, 398, 426, 584, 736, 737, 744 }
C grade: { 61, 64, 67, 72, 73, 74, 75, 76, 79, 82, 85, 88, 90, 91, 92, 93, 94, 97, 100, 103, 106, 108, 109, 110,
111, 112, 115, 116, 117, 118, 119, 120, 123, 125, 126, 128, 129, 130, 131, 133, 135, 136, 138, 172, 267, 268,
269, 429, 430, 431, 432, 451, 452, 453, 454, 458, 477, 478, 479, 480, 481, 482, 483, 485, 486, 487, 488, 498,
499, 569, 602, 731, 734 }
F grade: { 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 545, 546, 547, 548, 549, 551, 553, 554, 933,
934, 935}
2.1.3 Maple
A grade: { 10, 11, 12, 13, 14, 15, 16, 17, 25, 26, 27, 28, 29, 30, 31, 32, 42, 43, 44, 45, 46, 47, 48, 49, 158,
159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 179, 180, 183, 184, 185, 186, 187,
188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 202, 203, 204, 205, 207, 208, 209, 210, 211, 213, 214, 215,
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, 292, 294, 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, 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, 369, 370, 371,
387, 388, 389, 390, 391, 392, 393, 394, 395, 397, 404, 405, 406, 407, 408, 409, 410, 411, 412,
417, 421, 422, 423, 424, 425, 426, 427, 428, 435, 438, 439, 440, 441, 442, 443, 444, 445, 446,
447, 448, 449, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470,
475, 476, 480, 481, 482, 483, 484, 485, 486, 487, 488, 490, 491, 492, 493, 494, 495, 496, 497,
498, 499, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 517, 518, 519, 520,
521, 522, 523, 524, 525, 533, 534, 535, 536, 537, 538, 539, 540, 541, 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, 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, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641,
642, 643, 644, 645, 646, 647, 648, 649, 650, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661,
662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 676, 682, 683, 684, 685, 686, 687,
688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706,
707, 708, 709, 710, 711, 712, 713, 715, 716, 721, 722, 723, 724, 725, 726, 727, 728, 729, 732,
733, 740, 741, 742, 743, 747, 748, 749, 750, 753, 754, 757, 758, 759, 760, 763, 764, 772, 773,
774, 775, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 797, 798, 799, 800, 801,
802, 803, 804, 805, 806, 807, 808, 809, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824,
830, 831, 832, 833, 834, 835, 836, 837, 841, 842, 846, 847, 848, 849, 850, 851, 852, 853, 854,
855, 856, 857, 858, 859, 860, 861, 862, 866, 867, 871, 872, 873, 874, 875, 876, 877, 878, 879,
880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 895, 896, 897, 898, 899, 900, 901, 902, 903,
904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 919, 920, 921, 922, 923, 924, 925, 926, 927
}
B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 18, 19, 20, 21, 22, 23, 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 50, 51,
52, 53, 54, 55, 56, 57, 58, 161, 162, 174, 178, 181, 182, 199, 200, 201, 212, 217, 218, 219, 220,
289, 290, 291, 293, 379, 380, 381, 382, 383, 384, 385, 386, 396, 398, 399, 400, 401, 402, 403,
413, 414, 415, 416, 418, 419, 420, 429, 430, 431, 432, 433, 434, 436, 437, 450, 451, 452, 453,
454, 471, 472, 473, 474, 477, 478, 479, 500, 501, 502, 526, 527, 528, 529, 530, 531, 532, 586,
623, 624, 625, 626, 651, 674, 675, 677, 678, 679, 680, 681, 714, 717, 718, 719, 720, 776, 777,
778, 779, 792, 793, 794, 795, 796, 810, 811, 812, 813, 825, 826, 827, 828, 829, 838, 839, 840,
843, 844, 845, 863, 864, 865, 868, 869, 870, 890, 891, 892, 893, 894, 914, 915, 916, 917, 918
}
C grade: { 132, 134, 137 }
F grade: { 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, 133, 135, 136, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149,
150, 151, 152, 153, 154, 155, 156, 157, 177, 197, 206, 216, 295, 335, 362, 363, 364, 365, 366,
367, 368, 372, 373, 374, 375, 376, 377, 378, 489, 516, 542, 543, 544, 545, 546, 547, 548, 549,
550, 551, 552, 553, 554, 555, 730, 731, 734, 735, 736, 737, 738, 739, 744, 745, 746, 751, 752,
755, 756, 761, 762, 765, 766, 767, 768, 769, 770, 771, 928, 929, 930, 931, 932, 933, 934, 935
}
2.1.4 Maxima
A grade: { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 42, 43, 44, 45,
46, 47, 48, 49, 50, 51, 52, 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, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,
127, 128, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 182, 183,
184, 185, 186, 188, 189, 190, 191, 192, 193, 195, 196, 202, 203, 204, 205, 207, 208, 209, 210,
211, 213, 214, 215, 217, 218, 219, 220, 221, 223, 224, 225, 226, 227, 228, 229, 230, 235, 236,
237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 252, 253, 254, 255, 256, 257, 270, 271, 272,
273, 274, 275, 276, 279, 280, 283, 284, 287, 288, 289, 290, 291, 292, 293, 294, 296, 297, 298,
301, 302, 303, 304, 319, 320, 323, 324, 327, 328, 336, 337, 338, 350, 351, 352, 353, 383, 384,
385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 400, 401, 402, 403, 404, 405, 406, 407,
408, 409, 410, 411, 412, 413, 415, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429,
430, 431, 432, 433, 434, 436, 437, 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, 585, 586, 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, 633, 634, 635, 659, 660, 661, 732, 733, 740, 763, 764, 772, 773,
774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792,
793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811,
812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 880,
904
B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 21, 33, 34, 35, 36, 37, 38, 39, 40, 41, 53, 54, 158, 159, 160, 161, 178, 179,
180, 181, 187, 194, 198, 199, 200, 201, 212, 222, 281, 282, 285, 286, 379, 380, 381, 382, 396, 397, 398, 399,
414, 416, 417, 435, 584, 587, 636, 662 }
C grade: { 321, 322, 325, 326 }
F grade: { 116, 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, 177, 197, 206, 216, 231, 232, 233, 234, 247, 248, 249,
250, 251, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 277, 278, 295, 299, 300, 305, 306, 307,
308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 329, 330, 331, 332, 333, 334, 335, 339, 340, 341, 342,
343, 344, 345, 346, 347, 348, 349, 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, 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, 614, 615,
616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 637, 638,
639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657,
658, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680,
681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699,
700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718,
719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 734, 735, 736, 737, 738, 739,
741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759,
760, 761, 762, 765, 766, 767, 768, 769, 770, 771, 830, 831, 832, 833, 834, 835, 836, 837, 838,
839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857,
858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876,
877, 878, 879, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896,
897, 898, 899, 900, 901, 902, 903, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916,
917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935
}
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30,
31, 32, 33, 34, 35, 36, 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, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172,
173, 174, 175, 176, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193,
195, 196, 198, 199, 200, 202, 203, 204, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 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, 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, 291, 292, 293, 294, 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,
336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354,
355, 356, 357, 358, 369, 370, 371, 379, 380, 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, 443, 446, 447, 448, 449, 450, 451,
452, 453, 454, 455, 456, 457, 458, 461, 462, 463, 464, 465, 469, 470, 471, 472, 473, 474, 475,
476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 488, 490, 491, 494, 495, 496, 497, 498,
499, 500, 501, 502, 503, 504, 505, 506, 507, 509, 512, 513, 514, 515, 517, 518, 521, 522, 523,
524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 556,
557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 573, 574, 575, 576,
578, 579, 580, 581, 582, 583, 585, 586, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598,
599, 600, 601, 602, 603, 604, 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, 633, 634, 635, 636, 637,
638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656,
657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675,
676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694,
695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713,
714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 732, 733, 740,
741, 742, 743, 747, 748, 749, 750, 753, 754, 757, 758, 759, 760, 763, 764, 772, 773, 774, 775,
776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794,
795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813,
814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832,
833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851,
852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870,
871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889,
890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908,
909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927
}
B grade: { 5, 6, 21, 37, 38, 129, 130, 131, 183, 194, 201, 242, 290, 381, 442, 466, 467, 492, 493, 519, 520,
572, 577, 584, 587, 605 }
C grade: { }
F grade: { 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, 177, 197, 206, 216, 295, 335, 359, 360, 361, 362, 363, 364, 365, 366, 367,
368, 372, 373, 374, 375, 376, 377, 378, 444, 445, 459, 460, 468, 487, 489, 508, 510, 511, 516, 542, 543, 544,
545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 730, 731, 734, 735, 736, 737, 738, 739, 744, 745, 746,
751, 752, 755, 756, 761, 762, 765, 766, 767, 768, 769, 770, 771, 928, 929, 930, 931, 932, 933, 934, 935
}
2.1.6 Sympy
A grade: { 10, 11, 12, 13, 14, 15, 16, 17, 25, 26, 27, 28, 29, 30, 31, 32, 42, 43, 44, 45, 46, 47, 48, 49, 167,
169, 170, 171, 172, 173, 174, 175, 187, 188, 189, 190, 191, 192, 193, 195, 196, 207, 208, 209, 210, 211, 212,
213, 214, 215, 235, 236, 237, 238, 239, 240, 241, 242, 262, 263, 264, 265, 266, 267, 268, 269, 288, 292, 301,
302, 303, 304, 305, 324, 327, 328, 341, 342, 343, 344, 345, 387, 388, 389, 390, 391, 392, 393, 394, 395, 404,
405, 406, 407, 408, 409, 410, 411, 412, 421, 422, 423, 424, 425, 427, 428, 502, 528, 564, 565, 566, 567, 568,
569, 570, 571, 572, 585, 588, 589, 598, 599, 600, 601, 602, 603, 604, 605, 780, 781, 782, 783, 784, 785, 786,
787, 788, 797, 798, 799, 800, 801, 802, 803, 804, 805, 814, 815, 816, 817, 818, 819, 820, 821
}
B grade: { 134, 168, 176, 194, 306, 307, 308, 309, 346, 347, 348, 349, 426, 581, 582, 583, 584, 586, 587
}
C grade: { 137, 323, 325, 326, 338, 447, 552, 624, 625, 626, 651, 652, 767, 770, 838, 839, 840, 863, 864,
865 }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 18, 19, 20, 21, 22, 23, 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 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, 135, 136, 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, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 197, 198, 199,
200, 201, 202, 203, 204, 205, 206, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
228, 229, 230, 231, 232, 233, 234, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254,
255, 256, 257, 258, 259, 260, 261, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281,
282, 283, 284, 285, 286, 287, 289, 290, 291, 293, 294, 295, 296, 297, 298, 299, 300, 310, 311,
312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 329, 330, 331, 332, 333, 334, 335, 336,
337, 339, 340, 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, 396, 397, 398, 399, 400, 401, 402, 403, 413, 414, 415, 416, 417, 418, 419, 420, 429,
430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 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, 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, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546,
547, 548, 549, 550, 551, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 573, 574, 575,
576, 577, 578, 579, 580, 590, 591, 592, 593, 594, 595, 596, 597, 606, 607, 608, 609, 610, 611,
612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 627, 628, 629, 630, 631, 632, 633,
634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 653, 654,
655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673,
674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692,
693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711,
712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730,
731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749,
750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 768, 769,
771, 772, 773, 774, 775, 776, 777, 778, 779, 789, 790, 791, 792, 793, 794, 795, 796, 806, 807,
808, 809, 810, 811, 812, 813, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834,
835, 836, 837, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856,
857, 858, 859, 860, 861, 862, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878,
879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897,
898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916,
917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935
}
2.1.7 Giac
A grade: { 1, 4, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36,
42, 43, 44, 45, 46, 47, 48, 49, 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, 162, 163, 164, 165, 166, 168, 169, 170, 171, 172, 173, 175, 176, 182, 183, 184,
185, 186, 188, 189, 190, 192, 193, 195, 196, 198, 199, 200, 201, 203, 204, 205, 207, 208, 209,
210, 211, 213, 214, 215, 222, 226, 227, 228, 229, 230, 232, 233, 234, 237, 238, 239, 240, 241,
242, 243, 244, 245, 246, 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,
283, 284, 287, 288, 290, 291, 292, 293, 294, 296, 297, 298, 301, 302, 303, 304, 305, 306, 307,
308, 309, 333, 334, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350,
351, 352, 353, 354, 355, 356, 357, 358, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394,
395, 400, 401, 402, 403, 409, 410, 411, 412, 415, 416, 417, 419, 420, 421, 422, 423, 424, 425,
427, 428, 435, 452, 453, 454, 475, 476, 477, 478, 479, 498, 499, 500, 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, 585, 587, 588, 589, 590, 591, 592, 593, 598, 599, 600, 601, 602, 603, 604, 605,
606, 607, 608, 609, 611, 623, 624, 625, 626, 627, 651, 652, 653, 673, 674, 675, 676, 677, 678,
712, 713, 714, 715, 716, 717, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784,
785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 801, 802, 803, 804, 805,
806, 807, 808, 809, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 838,
839, 840, 841, 863, 864, 865, 866, 886, 887, 888, 889, 890, 892, 910, 911, 912, 913, 914, 916
}
B grade: { 2, 3, 5, 6, 7, 8, 9, 20, 21, 29, 37, 38, 39, 40, 41, 158, 159, 160, 161, 174, 178, 179, 180, 181, 191,
194, 212, 235, 236, 281, 282, 285, 286, 289, 379, 380, 381, 382, 383, 396, 397, 398, 399, 404, 405, 406, 407,
408, 413, 414, 426, 450, 451, 501, 530, 531, 532, 583, 584, 586, 610, 629, 655, 679, 680, 681, 718, 719, 720,
799, 800, 891, 893, 894, 915, 917, 918 }
C grade: { 231, 247, 299, 300, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324,
325, 326, 327, 328 }
F grade: { 50, 51, 52, 53, 54, 55, 56, 57, 58, 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, 167, 177, 187, 197, 202, 206, 216, 217,
218, 219, 220, 221, 223, 224, 225, 295, 329, 330, 331, 332, 335, 359, 360, 361, 362, 363, 364, 365, 366, 367,
368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 418, 429, 430, 431, 432, 433, 434, 436, 437,
438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 455, 456, 457, 458, 459, 460, 461,
462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 480, 481, 482, 483, 484, 485,
486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 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, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549,
550, 551, 552, 553, 554, 555, 594, 595, 596, 597, 612, 613, 614, 615, 616, 617, 618, 619, 620,
621, 622, 628, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645,
646, 647, 648, 649, 650, 654, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668,
669, 670, 671, 672, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696,
697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 721, 722, 723, 724,
725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743,
744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762,
763, 764, 765, 766, 767, 768, 769, 770, 771, 810, 811, 812, 813, 828, 829, 830, 831, 832, 833,
834, 835, 836, 837, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856,
857, 858, 859, 860, 861, 862, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879,
880, 881, 882, 883, 884, 885, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907,
908, 909, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935
}
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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| Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
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|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 114 | 114 | 68 | 193 | 274 | 227 | 0 | 246 |
| normalized size | 1 | 1. | 0.6 | 1.69 | 2.4 | 1.99 | 0. | 2.16 |
| time (sec) |
N/A |
0.123 |
0.069 |
0.187 |
1.03 |
1.686 |
0. |
1.181 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 90 | 90 | 60 | 173 | 224 | 204 | 0 | 204 |
| normalized size | 1 | 1. | 0.67 | 1.92 | 2.49 | 2.27 | 0. | 2.27 |
| time (sec) |
N/A |
0.093 |
0.047 |
0.128 |
1.088 |
1.691 |
0. |
1.197 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 63 | 63 | 49 | 152 | 173 | 180 | 0 | 159 |
| normalized size | 1 | 1. | 0.78 | 2.41 | 2.75 | 2.86 | 0. | 2.52 |
| time (sec) |
N/A |
0.064 |
0.036 |
0.123 |
0.982 |
1.569 |
0. |
1.163 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 36 | 36 | 41 | 97 | 122 | 155 | 0 | 77 |
| normalized size | 1 | 1. | 1.14 | 2.69 | 3.39 | 4.31 | 0. | 2.14 |
| time (sec) |
N/A |
0.036 |
0.022 |
0.12 |
1.025 |
1.569 |
0. |
1.157 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 22 | 22 | 36 | 132 | 93 | 150 | 0 | 95 |
| normalized size | 1 | 1. | 1.64 | 6. | 4.23 | 6.82 | 0. | 4.32 |
| time (sec) |
N/A |
0.043 |
0.013 |
0.128 |
1.563 |
1.531 |
0. |
1.174 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 24 | 24 | 27 | 220 | 72 | 112 | 0 | 72 |
| normalized size | 1 | 1. | 1.12 | 9.17 | 3. | 4.67 | 0. | 3. |
| time (sec) |
N/A |
0.025 |
0.019 |
0.13 |
1.543 |
1.635 |
0. |
1.154 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 38 | 38 | 42 | 257 | 123 | 144 | 0 | 117 |
| normalized size | 1 | 1. | 1.11 | 6.76 | 3.24 | 3.79 | 0. | 3.08 |
| time (sec) |
N/A |
0.031 |
0.042 |
0.126 |
1.525 |
1.728 |
0. |
1.136 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 75 | 75 | 51 | 284 | 184 | 161 | 0 | 176 |
| normalized size | 1 | 1. | 0.68 | 3.79 | 2.45 | 2.15 | 0. | 2.35 |
| time (sec) |
N/A |
0.062 |
0.078 |
0.135 |
1.552 |
1.559 |
0. |
1.173 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F(-1) |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 88 | 88 | 59 | 308 | 232 | 185 | 0 | 221 |
| normalized size |
1 |
1. |
0.67 |
3.5 |
2.64 |
2.1 |
0. |
2.51 |
| time (sec) |
N/A |
0.083 |
0.094 |
0.138 |
1.561 |
1.966 |
0. |
1.159 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 43 | 43 | 43 | 39 | 58 | 100 | 37 | 63 |
| normalized size | 1 | 1. | 1. | 0.91 | 1.35 | 2.33 | 0.86 | 1.47 |
| time (sec) |
N/A |
0.053 |
0.019 |
0.042 |
1.018 |
1.872 |
1.905 |
1.165 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 33 | 33 | 33 | 31 | 46 | 76 | 27 | 51 |
| normalized size | 1 | 1. | 1. | 0.94 | 1.39 | 2.3 | 0.82 | 1.55 |
| time (sec) |
N/A |
0.049 |
0.014 |
0.039 |
1.009 |
1.802 |
0.72 |
1.139 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 26 | 26 | 26 | 24 | 35 | 59 | 20 | 41 |
| normalized size | 1 | 1. | 1. | 0.92 | 1.35 | 2.27 | 0.77 | 1.58 |
| time (sec) |
N/A |
0.033 |
0.012 |
0.037 |
1.167 |
1.825 |
1.214 |
1.141 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 14 | 14 | 14 | 14 | 18 | 35 | 10 | 19 |
| normalized size | 1 | 1. | 1. | 1. | 1.29 | 2.5 | 0.71 | 1.36 |
| time (sec) |
N/A |
0.014 |
0.011 |
0.042 |
1.018 |
1.785 |
0.098 |
1.127 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 14 | 14 | 14 | 14 | 18 | 34 | 10 | 20 |
| normalized size | 1 | 1. | 1. | 1. | 1.29 | 2.43 | 0.71 | 1.43 |
| time (sec) |
N/A |
0.04 |
0.009 |
0.043 |
1.007 |
1.793 |
0.179 |
1.164 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 19 | 19 | 19 | 19 | 24 | 58 | 15 | 27 |
| normalized size | 1 | 1. | 1. | 1. | 1.26 | 3.05 | 0.79 | 1.42 |
| time (sec) |
N/A |
0.045 |
0.011 |
0.044 |
1.13 |
1.942 |
2.053 |
1.167 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 33 | 33 | 33 | 31 | 41 | 88 | 26 | 43 |
| normalized size | 1 | 1. | 1. | 0.94 | 1.24 | 2.67 | 0.79 | 1.3 |
| time (sec) |
N/A |
0.047 |
0.014 |
0.047 |
0.983 |
1.837 |
2.127 |
1.148 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 40 | 40 | 40 | 38 | 51 | 104 | 34 | 54 |
| normalized size | 1 | 1. | 1. | 0.95 | 1.27 | 2.6 | 0.85 | 1.35 |
| time (sec) |
N/A |
0.051 |
0.015 |
0.044 |
0.983 |
1.973 |
1.614 |
1.123 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 118 | 118 | 75 | 471 | 246 | 267 | 0 | 231 |
| normalized size | 1 | 1. | 0.64 | 3.99 | 2.08 | 2.26 | 0. | 1.96 |
| time (sec) |
N/A |
1.071 |
0.08 |
0.166 |
1. |
1.982 |
0. |
1.177 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 92 | 92 | 66 | 421 | 196 | 243 | 0 | 189 |
| normalized size | 1 | 1. | 0.72 | 4.58 | 2.13 | 2.64 | 0. | 2.05 |
| time (sec) |
N/A |
0.872 |
0.063 |
0.165 |
1.007 |
1.956 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 62 | 62 | 54 | 247 | 149 | 217 | 0 | 161 |
| normalized size | 1 | 1. | 0.87 | 3.98 | 2.4 | 3.5 | 0. | 2.6 |
| time (sec) |
N/A |
0.811 |
0.047 |
0.136 |
1.009 |
1.841 |
0. |
1.167 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 46 | 46 | 53 | 363 | 122 | 262 | 0 | 123 |
| normalized size | 1 | 1. | 1.15 | 7.89 | 2.65 | 5.7 | 0. | 2.67 |
| time (sec) |
N/A |
0.783 |
0.059 |
0.173 |
1.483 |
1.861 |
0. |
1.207 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 51 | 51 | 41 | 593 | 97 | 162 | 0 | 115 |
| normalized size | 1 | 1. | 0.8 | 11.63 | 1.9 | 3.18 | 0. | 2.25 |
| time (sec) |
N/A |
0.074 |
0.082 |
0.169 |
1.473 |
1.9 |
0. |
1.186 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 91 | 91 | 56 | 642 | 149 | 194 | 0 | 146 |
| normalized size | 1 | 1. | 0.62 | 7.05 | 1.64 | 2.13 | 0. | 1.6 |
| time (sec) |
N/A |
0.453 |
0.093 |
0.171 |
1.528 |
1.945 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 93 | 93 | 66 | 666 | 208 | 213 | 0 | 203 |
| normalized size |
1 |
1. |
0.71 |
7.16 |
2.24 |
2.29 |
0. |
2.18 |
| time (sec) |
N/A |
0.743 |
0.112 |
0.171 |
1.493 |
1.95 |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 57 | 57 | 57 | 52 | 78 | 155 | 49 | 105 |
| normalized size | 1 | 1. | 1. | 0.91 | 1.37 | 2.72 | 0.86 | 1.84 |
| time (sec) |
N/A |
0.066 |
0.046 |
0.047 |
0.985 |
1.706 |
0.353 |
1.21 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 47 | 47 | 47 | 44 | 66 | 130 | 39 | 93 |
| normalized size | 1 | 1. | 1. | 0.94 | 1.4 | 2.77 | 0.83 | 1.98 |
| time (sec) |
N/A |
0.06 |
0.036 |
0.043 |
1.072 |
1.712 |
0.32 |
1.118 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 39 | 39 | 39 | 36 | 55 | 109 | 31 | 86 |
| normalized size | 1 | 1. | 1. | 0.92 | 1.41 | 2.79 | 0.79 | 2.21 |
| time (sec) |
N/A |
0.041 |
0.028 |
0.045 |
1.082 |
1.84 |
0.327 |
1.129 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 27 | 27 | 26 | 26 | 35 | 81 | 19 | 62 |
| normalized size | 1 | 1. | 0.96 | 0.96 | 1.3 | 3. | 0.7 | 2.3 |
| time (sec) |
N/A |
0.019 |
0.019 |
0.046 |
0.998 |
1.712 |
0.319 |
1.124 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 13 | 13 | 13 | 13 | 16 | 46 | 8 | 77 |
| normalized size | 1 | 1. | 1. | 1. | 1.23 | 3.54 | 0.62 | 5.92 |
| time (sec) |
N/A |
0.039 |
0.01 |
0.046 |
1.02 |
1.787 |
0.356 |
1.12 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 32 | 32 | 32 | 31 | 46 | 116 | 26 | 54 |
| normalized size | 1 | 1. | 1. | 0.97 | 1.44 | 3.62 | 0.81 | 1.69 |
| time (sec) |
N/A |
0.051 |
0.024 |
0.047 |
0.97 |
1.786 |
0.412 |
1.138 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 46 | 46 | 46 | 43 | 65 | 155 | 41 | 84 |
| normalized size | 1 | 1. | 1. | 0.93 | 1.41 | 3.37 | 0.89 | 1.83 |
| time (sec) |
N/A |
0.054 |
0.03 |
0.053 |
1.019 |
1.813 |
0.459 |
1.157 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 54 | 54 | 54 | 51 | 76 | 173 | 49 | 100 |
| normalized size | 1 | 1. | 1. | 0.94 | 1.41 | 3.2 | 0.91 | 1.85 |
| time (sec) |
N/A |
0.061 |
0.042 |
0.049 |
1.002 |
1.893 |
0.463 |
1.182 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 114 | 114 | 68 | 193 | 274 | 220 | 0 | 136 |
| normalized size | 1 | 1. | 0.6 | 1.69 | 2.4 | 1.93 | 0. | 1.19 |
| time (sec) |
N/A |
0.127 |
0.067 |
0.125 |
1.052 |
1.963 |
0. |
1.16 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 90 | 90 | 60 | 173 | 224 | 198 | 0 | 116 |
| normalized size | 1 | 1. | 0.67 | 1.92 | 2.49 | 2.2 | 0. | 1.29 |
| time (sec) |
N/A |
0.1 |
0.049 |
0.128 |
1.015 |
1.927 |
0. |
1.197 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 64 | 64 | 49 | 152 | 176 | 177 | 0 | 96 |
| normalized size | 1 | 1. | 0.77 | 2.38 | 2.75 | 2.77 | 0. | 1.5 |
| time (sec) |
N/A |
0.068 |
0.035 |
0.128 |
1.002 |
1.84 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 37 | 37 | 42 | 98 | 122 | 155 | 0 | 70 |
| normalized size | 1 | 1. | 1.14 | 2.65 | 3.3 | 4.19 | 0. | 1.89 |
| time (sec) |
N/A |
0.039 |
0.024 |
0.118 |
1.048 |
1.859 |
0. |
1.155 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 20 | 20 | 34 | 130 | 95 | 151 | 0 | 80 |
| normalized size | 1 | 1. | 1.7 | 6.5 | 4.75 | 7.55 | 0. | 4. |
| time (sec) |
N/A |
0.048 |
0.015 |
0.125 |
1.599 |
1.848 |
0. |
1.161 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 25 | 25 | 26 | 220 | 74 | 112 | 0 | 84 |
| normalized size | 1 | 1. | 1.04 | 8.8 | 2.96 | 4.48 | 0. | 3.36 |
| time (sec) |
N/A |
0.027 |
0.02 |
0.128 |
1.505 |
1.864 |
0. |
1.152 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 40 | 40 | 41 | 260 | 126 | 143 | 0 | 212 |
| normalized size | 1 | 1. | 1.02 | 6.5 | 3.15 | 3.58 | 0. | 5.3 |
| time (sec) |
N/A |
0.037 |
0.046 |
0.138 |
1.574 |
1.854 |
0. |
1.194 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 76 | 76 | 52 | 284 | 185 | 155 | 0 | 219 |
| normalized size | 1 | 1. | 0.68 | 3.74 | 2.43 | 2.04 | 0. | 2.88 |
| time (sec) |
N/A |
0.066 |
0.079 |
0.13 |
1.57 |
1.854 |
0. |
1.169 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 88 | 88 | 59 | 308 | 234 | 180 | 0 | 348 |
| normalized size | 1 | 1. | 0.67 | 3.5 | 2.66 | 2.05 | 0. | 3.95 |
| time (sec) |
N/A |
0.09 |
0.094 |
0.138 |
1.519 |
1.937 |
0. |
1.188 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 42 | 42 | 42 | 39 | 58 | 100 | 37 | 63 |
| normalized size | 1 | 1. | 1. | 0.93 | 1.38 | 2.38 | 0.88 | 1.5 |
| time (sec) |
N/A |
0.057 |
0.019 |
0.039 |
0.986 |
1.746 |
0.277 |
1.137 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 33 | 33 | 33 | 32 | 46 | 76 | 27 | 51 |
| normalized size | 1 | 1. | 1. | 0.97 | 1.39 | 2.3 | 0.82 | 1.55 |
| time (sec) |
N/A |
0.051 |
0.014 |
0.039 |
1.02 |
1.585 |
0.271 |
1.147 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 25 | 25 | 25 | 24 | 35 | 59 | 20 | 41 |
| normalized size | 1 | 1. | 1. | 0.96 | 1.4 | 2.36 | 0.8 | 1.64 |
| time (sec) |
N/A |
0.032 |
0.012 |
0.039 |
1.052 |
1.841 |
0.261 |
1.118 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 13 | 13 | 13 | 14 | 18 | 35 | 10 | 19 |
| normalized size | 1 | 1. | 1. | 1.08 | 1.38 | 2.69 | 0.77 | 1.46 |
| time (sec) |
N/A |
0.013 |
0.011 |
0.039 |
1.013 |
1.732 |
0.094 |
1.149 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 13 | 13 | 13 | 14 | 18 | 34 | 10 | 20 |
| normalized size | 1 | 1. | 1. | 1.08 | 1.38 | 2.62 | 0.77 | 1.54 |
| time (sec) |
N/A |
0.04 |
0.007 |
0.043 |
1.011 |
1.754 |
0.136 |
1.14 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 18 | 18 | 18 | 19 | 24 | 59 | 15 | 27 |
| normalized size | 1 | 1. | 1. | 1.06 | 1.33 | 3.28 | 0.83 | 1.5 |
| time (sec) |
N/A |
0.043 |
0.009 |
0.045 |
1.001 |
1.522 |
0.319 |
1.145 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 32 | 32 | 32 | 31 | 41 | 88 | 26 | 43 |
| normalized size | 1 | 1. | 1. | 0.97 | 1.28 | 2.75 | 0.81 | 1.34 |
| time (sec) |
N/A |
0.046 |
0.012 |
0.043 |
1.021 |
1.537 |
0.34 |
1.144 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 40 | 40 | 40 | 39 | 51 | 105 | 34 | 54 |
| normalized size | 1 | 1. | 1. | 0.98 | 1.27 | 2.62 | 0.85 | 1.35 |
| time (sec) |
N/A |
0.05 |
0.013 |
0.046 |
0.985 |
1.472 |
0.361 |
1.151 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F(-1) |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 136 | 136 | 83 | 539 | 301 | 227 | 0 | 0 |
| normalized size |
1 |
1. |
0.61 |
3.96 |
2.21 |
1.67 |
0. |
0. |
| time (sec) |
N/A |
1.019 |
0.088 |
0.138 |
1.043 |
1.476 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F(-1) |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 116 | 116 | 75 | 471 | 251 | 209 | 0 | 0 |
| normalized size |
1 |
1. |
0.65 |
4.06 |
2.16 |
1.8 |
0. |
0. |
| time (sec) |
N/A |
0.869 |
0.076 |
0.132 |
1.015 |
1.698 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 90 | 90 | 66 | 421 | 204 | 186 | 0 | 0 |
| normalized size | 1 | 1. | 0.73 | 4.68 | 2.27 | 2.07 | 0. | 0. |
| time (sec) |
N/A |
0.842 |
0.062 |
0.128 |
0.996 |
1.729 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 60 | 60 | 54 | 248 | 150 | 161 | 0 | 0 |
| normalized size | 1 | 1. | 0.9 | 4.13 | 2.5 | 2.68 | 0. | 0. |
| time (sec) |
N/A |
0.779 |
0.047 |
0.129 |
1.032 |
1.701 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
A |
F |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 46 | 46 | 55 | 369 | 120 | 192 | 0 | 0 |
| normalized size | 1 | 1. | 1.2 | 8.02 | 2.61 | 4.17 | 0. | 0. |
| time (sec) |
N/A |
0.761 |
0.052 |
0.132 |
1.555 |
1.583 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 53 | 53 | 41 | 592 | 97 | 116 | 0 | 0 |
| normalized size | 1 | 1. | 0.77 | 11.17 | 1.83 | 2.19 | 0. | 0. |
| time (sec) |
N/A |
0.078 |
0.067 |
0.131 |
1.545 |
1.511 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 87 | 87 | 56 | 642 | 151 | 147 | 0 | 0 |
| normalized size | 1 | 1. | 0.64 | 7.38 | 1.74 | 1.69 | 0. | 0. |
| time (sec) |
N/A |
0.445 |
0.137 |
0.131 |
1.499 |
1.594 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F(-1) |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 96 | 96 | 66 | 666 | 212 | 166 | 0 | 0 |
| normalized size |
1 |
1. |
0.69 |
6.94 |
2.21 |
1.73 |
0. |
0. |
| time (sec) |
N/A |
0.766 |
0.101 |
0.147 |
1.523 |
1.619 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
A |
F(-1) |
F |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 133 | 133 | 75 | 690 | 261 | 184 | 0 | 0 |
| normalized size |
1 |
1. |
0.56 |
5.19 |
1.96 |
1.38 |
0. |
0. |
| time (sec) |
N/A |
0.839 |
0.05 |
0.138 |
1.53 |
1.515 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 253 | 253 | 173 | 0 | 350 | 331 | 0 | 316 |
| normalized size | 1 | 1. | 0.68 | 0. | 1.38 | 1.31 | 0. | 1.25 |
| time (sec) |
N/A |
0.154 |
5.216 |
0.18 |
1.534 |
1.63 |
0. |
1.178 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 216 | 216 | 149 | 0 | 302 | 302 | 0 | 274 |
| normalized size | 1 | 1. | 0.69 | 0. | 1.4 | 1.4 | 0. | 1.27 |
| time (sec) |
N/A |
0.119 |
5.174 |
0.132 |
1.523 |
1.682 |
0. |
1.216 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 179 | 179 | 399 | 0 | 252 | 275 | 0 | 232 |
| normalized size | 1 | 1. | 2.23 | 0. | 1.41 | 1.54 | 0. | 1.3 |
| time (sec) |
N/A |
0.095 |
5.133 |
0.135 |
1.484 |
1.762 |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 142 | 142 | 66 | 0 | 201 | 247 | 0 | 188 |
| normalized size | 1 | 1. | 0.46 | 0. | 1.42 | 1.74 | 0. | 1.32 |
| time (sec) |
N/A |
0.06 |
0.163 |
0.132 |
1.485 |
1.721 |
0. |
1.196 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 96 | 96 | 51 | 0 | 150 | 225 | 0 | 146 |
| normalized size | 1 | 1. | 0.53 | 0. | 1.56 | 2.34 | 0. | 1.52 |
| time (sec) |
N/A |
0.037 |
0.088 |
0.138 |
1.473 |
1.609 |
0. |
1.24 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 291 | 291 | 30 | 0 | 302 | 807 | 0 | 313 |
| normalized size | 1 | 1. | 0.1 | 0. | 1.04 | 2.77 | 0. | 1.08 |
| time (sec) |
N/A |
0.246 |
0.04 |
0.124 |
1.568 |
1.733 |
0. |
1.187 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 267 | 267 | 148 | 0 | 251 | 1027 | 0 | 251 |
| normalized size | 1 | 1. | 0.55 | 0. | 0.94 | 3.85 | 0. | 0.94 |
| time (sec) |
N/A |
0.225 |
0.24 |
0.138 |
1.56 |
1.798 |
0. |
1.203 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 319 | 319 | 173 | 0 | 305 | 1067 | 0 | 301 |
| normalized size | 1 | 1. | 0.54 | 0. | 0.96 | 3.34 | 0. | 0.94 |
| time (sec) |
N/A |
0.249 |
0.216 |
0.137 |
1.486 |
1.773 |
0. |
1.156 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 356 | 356 | 93 | 0 | 365 | 1160 | 0 | 366 |
| normalized size | 1 | 1. | 0.26 | 0. | 1.03 | 3.26 | 0. | 1.03 |
| time (sec) |
N/A |
0.292 |
0.106 |
0.137 |
1.493 |
1.67 |
0. |
1.174 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 253 | 253 | 173 | 0 | 350 | 333 | 0 | 316 |
| normalized size | 1 | 1. | 0.68 | 0. | 1.38 | 1.32 | 0. | 1.25 |
| time (sec) |
N/A |
0.14 |
5.236 |
0.158 |
1.471 |
1.682 |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 216 | 216 | 149 | 0 | 302 | 302 | 0 | 274 |
| normalized size | 1 | 1. | 0.69 | 0. | 1.4 | 1.4 | 0. | 1.27 |
| time (sec) |
N/A |
0.118 |
5.209 |
0.148 |
1.484 |
1.711 |
0. |
1.221 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 179 | 179 | 125 | 0 | 252 | 279 | 0 | 232 |
| normalized size | 1 | 1. | 0.7 | 0. | 1.41 | 1.56 | 0. | 1.3 |
| time (sec) |
N/A |
0.094 |
5.16 |
0.138 |
1.503 |
1.703 |
0. |
1.208 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 142 | 142 | 70 | 0 | 205 | 254 | 0 | 190 |
| normalized size | 1 | 1. | 0.49 | 0. | 1.44 | 1.79 | 0. | 1.34 |
| time (sec) |
N/A |
0.059 |
0.172 |
0.13 |
1.504 |
1.766 |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 98 | 98 | 56 | 0 | 151 | 231 | 0 | 147 |
| normalized size | 1 | 1. | 0.57 | 0. | 1.54 | 2.36 | 0. | 1.5 |
| time (sec) |
N/A |
0.037 |
0.06 |
0.126 |
1.518 |
1.586 |
0. |
1.162 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 291 | 291 | 30 | 0 | 302 | 807 | 0 | 313 |
| normalized size | 1 | 1. | 0.1 | 0. | 1.04 | 2.77 | 0. | 1.08 |
| time (sec) |
N/A |
0.228 |
0.045 |
0.122 |
1.579 |
1.825 |
0. |
1.157 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 268 | 268 | 46 | 0 | 252 | 1014 | 0 | 252 |
| normalized size | 1 | 1. | 0.17 | 0. | 0.94 | 3.78 | 0. | 0.94 |
| time (sec) |
N/A |
0.215 |
0.07 |
0.136 |
1.568 |
1.683 |
0. |
1.137 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 319 | 319 | 76 | 0 | 309 | 1072 | 0 | 304 |
| normalized size | 1 | 1. | 0.24 | 0. | 0.97 | 3.36 | 0. | 0.95 |
| time (sec) |
N/A |
0.246 |
0.081 |
0.132 |
1.531 |
1.767 |
0. |
1.161 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 356 | 356 | 93 | 0 | 374 | 1133 | 0 | 366 |
| normalized size |
1 |
1. |
0.26 |
0. |
1.05 |
3.18 |
0. |
1.03 |
| time (sec) |
N/A |
0.282 |
0.117 |
0.135 |
1.496 |
1.784 |
0. |
1.135 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 287 | 287 | 198 | 0 | 371 | 423 | 0 | 343 |
| normalized size | 1 | 1. | 0.69 | 0. | 1.29 | 1.47 | 0. | 1.2 |
| time (sec) |
N/A |
0.165 |
5.25 |
0.319 |
1.546 |
1.705 |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 250 | 250 | 161 | 0 | 321 | 389 | 0 | 301 |
| normalized size | 1 | 1. | 0.64 | 0. | 1.28 | 1.56 | 0. | 1.2 |
| time (sec) |
N/A |
0.136 |
5.239 |
0.325 |
1.494 |
1.704 |
0. |
1.207 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 213 | 213 | 441 | 0 | 274 | 358 | 0 | 259 |
| normalized size | 1 | 1. | 2.07 | 0. | 1.29 | 1.68 | 0. | 1.22 |
| time (sec) |
N/A |
0.112 |
9.056 |
0.322 |
1.552 |
1.585 |
0. |
1.182 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 176 | 176 | 80 | 0 | 224 | 332 | 0 | 217 |
| normalized size | 1 | 1. | 0.45 | 0. | 1.27 | 1.89 | 0. | 1.23 |
| time (sec) |
N/A |
0.068 |
0.212 |
0.325 |
1.487 |
1.679 |
0. |
1.169 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 130 | 130 | 67 | 0 | 177 | 304 | 0 | 190 |
| normalized size | 1 | 1. | 0.52 | 0. | 1.36 | 2.34 | 0. | 1.46 |
| time (sec) |
N/A |
0.044 |
0.133 |
0.322 |
1.485 |
1.601 |
0. |
1.209 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 320 | 320 | 30 | 0 | 329 | 975 | 0 | 340 |
| normalized size | 1 | 1. | 0.09 | 0. | 1.03 | 3.05 | 0. | 1.06 |
| time (sec) |
N/A |
0.297 |
0.071 |
0.135 |
1.535 |
1.676 |
0. |
1.194 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 299 | 299 | 173 | 0 | 275 | 1169 | 0 | 293 |
| normalized size |
1 |
1. |
0.58 |
0. |
0.92 |
3.91 |
0. |
0.98 |
| time (sec) |
N/A |
0.257 |
0.373 |
0.355 |
1.559 |
1.814 |
0. |
1.209 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 351 | 351 | 186 | 0 | 329 | 1247 | 0 | 328 |
| normalized size |
1 |
1. |
0.53 |
0. |
0.94 |
3.55 |
0. |
0.93 |
| time (sec) |
N/A |
0.285 |
0.262 |
0.336 |
1.526 |
1.76 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 385 | 385 | 104 | 0 | 389 | 1319 | 0 | 393 |
| normalized size |
1 |
1. |
0.27 |
0. |
1.01 |
3.43 |
0. |
1.02 |
| time (sec) |
N/A |
0.313 |
0.143 |
0.336 |
1.678 |
1.71 |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 253 | 253 | 173 | 0 | 350 | 323 | 0 | 316 |
| normalized size | 1 | 1. | 0.68 | 0. | 1.38 | 1.28 | 0. | 1.25 |
| time (sec) |
N/A |
0.14 |
5.28 |
0.137 |
1.51 |
1.607 |
0. |
1.231 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 216 | 216 | 149 | 0 | 302 | 296 | 0 | 274 |
| normalized size | 1 | 1. | 0.69 | 0. | 1.4 | 1.37 | 0. | 1.27 |
| time (sec) |
N/A |
0.115 |
5.229 |
0.131 |
1.632 |
1.657 |
0. |
1.293 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 179 | 179 | 389 | 0 | 252 | 270 | 0 | 232 |
| normalized size | 1 | 1. | 2.17 | 0. | 1.41 | 1.51 | 0. | 1.3 |
| time (sec) |
N/A |
0.092 |
8.387 |
0.128 |
1.538 |
1.67 |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 142 | 142 | 66 | 0 | 204 | 244 | 0 | 189 |
| normalized size | 1 | 1. | 0.46 | 0. | 1.44 | 1.72 | 0. | 1.33 |
| time (sec) |
N/A |
0.06 |
0.155 |
0.128 |
1.533 |
1.636 |
0. |
1.192 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 97 | 97 | 33 | 0 | 150 | 225 | 0 | 146 |
| normalized size | 1 | 1. | 0.34 | 0. | 1.55 | 2.32 | 0. | 1.51 |
| time (sec) |
N/A |
0.036 |
0.043 |
0.123 |
1.484 |
1.658 |
0. |
1.15 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 291 | 291 | 30 | 0 | 302 | 806 | 0 | 313 |
| normalized size | 1 | 1. | 0.1 | 0. | 1.04 | 2.77 | 0. | 1.08 |
| time (sec) |
N/A |
0.228 |
0.044 |
0.124 |
1.548 |
1.607 |
0. |
1.174 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 268 | 268 | 33 | 0 | 251 | 990 | 0 | 251 |
| normalized size | 1 | 1. | 0.12 | 0. | 0.94 | 3.69 | 0. | 0.94 |
| time (sec) |
N/A |
0.218 |
0.05 |
0.141 |
1.504 |
1.722 |
0. |
1.172 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 319 | 319 | 56 | 0 | 306 | 1035 | 0 | 301 |
| normalized size | 1 | 1. | 0.18 | 0. | 0.96 | 3.24 | 0. | 0.94 |
| time (sec) |
N/A |
0.25 |
0.069 |
0.137 |
1.541 |
1.723 |
0. |
1.147 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 356 | 356 | 93 | 0 | 374 | 1106 | 0 | 366 |
| normalized size | 1 | 1. | 0.26 | 0. | 1.05 | 3.11 | 0. | 1.03 |
| time (sec) |
N/A |
0.277 |
0.127 |
0.138 |
1.487 |
1.668 |
0. |
1.193 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 253 | 253 | 173 | 0 | 350 | 331 | 0 | 316 |
| normalized size |
1 |
1. |
0.68 |
0. |
1.38 |
1.31 |
0. |
1.25 |
| time (sec) |
N/A |
0.14 |
5.313 |
0.141 |
1.503 |
1.643 |
0. |
1.252 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 216 | 216 | 149 | 0 | 302 | 300 | 0 | 274 |
| normalized size |
1 |
1. |
0.69 |
0. |
1.4 |
1.39 |
0. |
1.27 |
| time (sec) |
N/A |
0.116 |
5.255 |
0.135 |
1.52 |
1.646 |
0. |
1.23 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 179 | 179 | 389 | 0 | 252 | 277 | 0 | 232 |
| normalized size |
1 |
1. |
2.17 |
0. |
1.41 |
1.55 |
0. |
1.3 |
| time (sec) |
N/A |
0.092 |
8.141 |
0.138 |
1.503 |
1.617 |
0. |
1.23 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 142 | 142 | 70 | 0 | 205 | 254 | 0 | 190 |
| normalized size |
1 |
1. |
0.49 |
0. |
1.44 |
1.79 |
0. |
1.34 |
| time (sec) |
N/A |
0.059 |
0.187 |
0.134 |
1.503 |
1.646 |
0. |
1.202 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
F |
A |
A |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 98 | 98 | 55 | 0 | 151 | 231 | 0 | 147 |
| normalized size | 1 | 1. | 0.56 | 0. | 1.54 | 2.36 | 0. | 1.5 |
| time (sec) |
N/A |
0.035 |
0.11 |
0.128 |
1.505 |
1.669 |
0. |
1.2 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |