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
 2.2 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, 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, 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, 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, 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, 913, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 932, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950 }

B grade: { 555, 759, 858, 860, 912 }

C grade: { }

F grade: { 796, 859, 914, 915, 931, 933}

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, 32, 33, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 111, 113, 115, 116, 117, 118, 119, 120, 121, 122, 124, 126, 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, 161, 162, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 177, 178, 179, 180, 181, 183, 184, 186, 187, 188, 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, 229, 230, 231, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 264, 265, 266, 268, 270, 272, 273, 275, 276, 279, 282, 283, 284, 285, 286, 288, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305, 307, 308, 309, 311, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 326, 327, 328, 330, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 344, 345, 346, 347, 348, 349, 350, 352, 353, 357, 358, 359, 360, 363, 364, 365, 367, 368, 371, 372, 373, 374, 375, 376, 377, 381, 382, 383, 385, 386, 388, 389, 390, 392, 393, 395, 396, 397, 398, 399, 400, 401, 417, 418, 419, 423, 424, 425, 426, 443, 444, 445, 446, 447, 458, 459, 460, 472, 473, 474, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 498, 499, 500, 501, 502, 504, 505, 506, 507, 508, 509, 515, 516, 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, 550, 551, 552, 553, 554, 555, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 582, 583, 584, 585, 586, 587, 589, 590, 591, 592, 593, 594, 595, 596, 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, 637, 639, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 655, 656, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 674, 675, 676, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 706, 707, 708, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 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, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 782, 783, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 804, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 827, 828, 829, 830, 831, 832, 833, 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, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 905, 906, 907, 908, 909, 911, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 946, 947, 948, 949, 950 }

B grade: { 35, 90, 106, 108, 110, 114, 123, 127, 160, 163, 185, 189, 263, 267, 269, 271, 274, 277, 278, 280, 281, 287, 297, 306, 310, 312, 325, 329, 331, 341, 343, 361, 362, 366, 369, 370, 378, 380, 384, 387, 391, 394, 402, 461, 475, 497, 548, 549, 581, 638, 640, 654, 673, 677, 691, 705, 709, 710, 711, 712, 713, 728, 759, 760, 781, 784, 802, 803, 805, 806, 807, 826, 834, 861, 885, 904, 927, 945 }

C grade: { 31, 34, 36, 37, 38, 46, 51, 52, 62, 85, 87, 89, 105, 107, 109, 112, 125, 174, 175, 176, 182, 228, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 351, 354, 355, 356, 379, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 420, 421, 422, 427, 428, 429, 430, 431, 432, 433, 434, 437, 438, 439, 440, 448, 449, 450, 451, 452, 455, 462, 463, 464, 465, 466, 469, 503, 510, 511, 512, 513, 514, 517, 556, 557, 558, 559, 560, 561, 588, 597, 634, 635, 636, 657, 910, 912 }

F grade: { 435, 436, 441, 442, 453, 454, 456, 457, 467, 468, 470, 471}

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, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 143, 144, 150, 151, 152, 159, 162, 180, 184, 185, 186, 187, 188, 189, 190, 191, 192, 201, 202, 203, 204, 206, 207, 208, 209, 211, 212, 213, 216, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 252, 253, 254, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 272, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 353, 354, 356, 357, 358, 359, 360, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 381, 382, 383, 388, 389, 390, 395, 396, 397, 398, 399, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 436, 437, 438, 442, 444, 446, 459, 460, 461, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 490, 491, 492, 496, 499, 500, 504, 505, 506, 510, 511, 514, 516, 518, 519, 520, 522, 523, 524, 526, 527, 528, 530, 531, 533, 534, 567, 568, 569, 570, 571, 576, 582, 583, 584, 590, 591, 593, 599, 600, 602, 603, 604, 605, 606, 611, 612, 613, 614, 637, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 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, 714, 715, 716, 717, 718, 719, 720, 723, 724, 725, 726, 727, 728, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 749, 750, 752, 753, 754, 755, 756, 757, 758, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 794, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 835, 837, 838, 839, 840, 841, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 861, 862, 863, 866, 867, 868, 869, 870, 873, 874, 875, 876, 877, 879, 880, 881, 882, 883, 884, 886, 887, 889, 890, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 905, 906, 907, 908, 909, 910, 911, 913, 915, 916, 917, 919, 920, 921, 922, 923, 924, 925, 928, 929, 930, 931, 932, 934, 935, 936, 937, 938, 939, 942, 943, 944, 945, 946, 947, 948, 949, 950 }

B grade: { 76, 78, 145, 146, 147, 148, 149, 160, 161, 163, 164, 193, 194, 195, 196, 197, 198, 199, 200, 205, 210, 214, 215, 219, 230, 249, 250, 251, 255, 271, 273, 274, 275, 291, 293, 294, 295, 333, 334, 335, 336, 337, 338, 339, 340, 349, 352, 355, 361, 362, 379, 380, 384, 385, 386, 387, 391, 392, 393, 394, 400, 401, 402, 410, 411, 412, 413, 414, 415, 416, 433, 434, 435, 439, 440, 441, 443, 445, 447, 458, 497, 498, 501, 502, 503, 507, 508, 509, 512, 513, 517, 521, 525, 529, 532, 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, 572, 573, 574, 575, 577, 578, 579, 580, 581, 589, 598, 607, 608, 609, 610, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 638, 639, 640, 670, 721, 722, 729, 759, 793, 795, 834, 836, 864, 871, 872, 885, 888, 891, 904, 926, 933, 940, 941 }

C grade: { 34, 139, 140, 141, 142, 153, 154, 155, 156, 157, 158, 319, 320, 321, 403, 404, 405, 406, 407, 408, 409, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 487, 488, 489, 493, 494, 495, 515, 588, 597, 633, 634, 635, 636, 709, 710, 711, 712, 713, 741, 742, 743, 744, 745, 746, 747, 748, 751, 776, 796, 809, 842, 859, 860, 878, 912, 914, 927 }

F grade: { 39, 40, 41, 53, 54, 55, 60, 79, 115, 124, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 217, 218, 318, 566, 585, 586, 587, 592, 594, 595, 596, 601, 657, 865, 918 }

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, 33, 35, 42, 44, 45, 48, 49, 50, 56, 58, 59, 60, 62, 66, 67, 68, 69, 70, 71, 72, 73, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 121, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 180, 184, 185, 186, 187, 188, 191, 192, 193, 194, 195, 196, 201, 202, 203, 204, 207, 208, 212, 213, 220, 221, 222, 223, 224, 225, 227, 229, 231, 252, 253, 254, 255, 256, 263, 264, 265, 266, 267, 274, 276, 277, 279, 283, 284, 285, 286, 287, 296, 297, 299, 300, 301, 302, 303, 304, 305, 306, 308, 310, 312, 322, 323, 324, 325, 327, 329, 331, 333, 341, 342, 343, 344, 345, 346, 347, 348, 355, 356, 357, 358, 359, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 378, 380, 381, 382, 383, 388, 389, 390, 395, 396, 397, 398, 461, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 499, 500, 504, 505, 510, 511, 512, 514, 515, 516, 517, 518, 519, 522, 523, 528, 567, 568, 569, 582, 583, 584, 590, 599, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 650, 651, 652, 653, 655, 656, 658, 659, 660, 661, 662, 663, 664, 665, 667, 668, 669, 671, 672, 673, 674, 675, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 716, 718, 719, 720, 721, 723, 724, 725, 726, 727, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 745, 746, 749, 753, 754, 755, 756, 758, 759, 760, 763, 764, 765, 766, 767, 768, 769, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 798, 799, 800, 801, 802, 803, 806, 807, 808, 809, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 828, 830, 831, 832, 833, 834, 835, 837, 838, 839, 840, 843, 844, 845, 852, 854, 857, 862, 863, 864, 867, 868, 869, 870, 871, 872, 873, 880, 881, 882, 883, 884, 885, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 905, 908, 909, 910, 911, 913, 914, 916, 917, 920, 923, 924, 925, 926, 929, 932, 934, 935, 936, 937, 940, 941, 943, 945, 946, 948, 950

B grade: { 61, 74, 80, 81, 82, 85, 86, 90, 91, 92, 105, 110, 111, 112, 116, 117, 122, 123, 124, 125, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 157, 158, 189, 190, 219, 248, 249, 250, 251, 257, 258, 259, 260, 261, 262, 268, 270, 272, 273, 275, 278, 280, 281, 282, 288, 290, 292, 293, 294, 295, 298, 307, 309, 311, 313, 314, 315, 316, 317, 326, 328, 330, 332, 334, 335, 336, 377, 379, 384, 385, 386, 387, 391, 392, 393, 394, 444, 513, 529, 531, 589, 591, 593, 598, 600, 602, 607, 608, 609, 610, 615, 616, 654, 657, 670, 676, 715, 722, 728, 750, 752, 757, 761, 770, 771, 796, 797, 804, 805, 810, 827, 829, 836, 841, 842, 853, 855, 856, 858, 859, 860, 866, 874, 876, 877, 878, 879, 886, 887, 888, 904, 915, 918, 919, 927, 928, 930, 933, 944, 947, 949 }

C grade: { 751, 907, 921 }

F grade: { 31, 32, 34, 36, 37, 38, 39, 40, 41, 43, 46, 47, 51, 52, 53, 54, 55, 57, 63, 64, 65, 75, 76, 77, 78, 79, 83, 84, 87, 88, 89, 93, 94, 106, 107, 108, 109, 113, 114, 115, 118, 119, 120, 126, 127, 153, 154, 155, 156, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 197, 198, 199, 200, 205, 206, 209, 210, 211, 214, 215, 216, 217, 218, 226, 228, 230, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 269, 271, 289, 291, 318, 319, 320, 321, 337, 338, 339, 340, 349, 350, 351, 352, 353, 354, 360, 361, 362, 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, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 482, 483, 496, 497, 498, 501, 502, 503, 506, 507, 508, 509, 520, 521, 524, 525, 526, 527, 530, 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, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 585, 586, 587, 588, 592, 594, 595, 596, 597, 601, 603, 604, 605, 606, 611, 612, 613, 614, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 649, 666, 693, 717, 743, 744, 747, 748, 762, 846, 847, 848, 849, 850, 851, 861, 865, 875, 906, 912, 922, 931, 938, 939, 942 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 35, 36, 37, 38, 42, 43, 44, 45, 48, 50, 51, 52, 56, 57, 58, 59, 61, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 86, 88, 91, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 107, 111, 113, 117, 121, 124, 126, 129, 130, 132, 134, 136, 138, 147, 148, 149, 150, 151, 152, 153, 155, 157, 158, 183, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 220, 221, 222, 223, 224, 225, 227, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 268, 270, 273, 275, 276, 277, 278, 279, 280, 282, 284, 285, 286, 288, 290, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 305, 307, 309, 310, 311, 313, 314, 315, 316, 317, 321, 322, 323, 324, 326, 333, 334, 335, 336, 337, 341, 342, 344, 345, 346, 348, 355, 356, 357, 358, 359, 360, 363, 364, 365, 370, 371, 372, 373, 374, 375, 376, 381, 382, 383, 388, 389, 390, 395, 396, 397, 398, 417, 418, 419, 423, 424, 425, 426, 430, 431, 432, 433, 437, 438, 439, 444, 447, 461, 472, 473, 474, 476, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 499, 500, 501, 504, 505, 506, 507, 508, 510, 511, 512, 514, 515, 516, 517, 518, 519, 520, 522, 523, 524, 525, 526, 527, 528, 529, 532, 538, 539, 543, 544, 548, 549, 553, 554, 555, 562, 563, 567, 568, 569, 570, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 594, 595, 596, 597, 598, 599, 600, 603, 604, 605, 606, 607, 609, 610, 611, 612, 613, 614, 615, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 635, 636, 637, 641, 642, 644, 645, 646, 647, 648, 649, 654, 656, 658, 659, 660, 661, 662, 663, 664, 665, 666, 672, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 692, 693, 696, 700, 705, 706, 708, 715, 717, 723, 724, 725, 726, 727, 729, 730, 731, 734, 735, 736, 737, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 753, 754, 755, 756, 757, 758, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 792, 794, 796, 799, 800, 802, 803, 804, 806, 807, 808, 809, 811, 812, 813, 814, 815, 817, 819, 820, 821, 822, 823, 824, 827, 828, 829, 830, 831, 832, 833, 834, 835, 837, 838, 839, 840, 841, 842, 843, 844, 845, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 860, 861, 866, 867, 874, 880, 881, 882, 883, 884, 886, 887, 889, 890, 891, 892, 893, 894, 895, 896, 898, 900, 901, 903, 905, 907, 908, 909, 910, 911, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 925, 926, 927, 928, 929, 930, 933, 934, 935, 936, 937, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950 }

B grade: { 49, 62, 64, 65, 74, 78, 80, 81, 82, 83, 84, 85, 87, 89, 90, 92, 93, 94, 105, 106, 108, 109, 110, 112, 114, 116, 118, 119, 120, 122, 123, 125, 127, 128, 131, 133, 135, 137, 139, 140, 141, 142, 143, 144, 145, 146, 154, 156, 159, 160, 162, 163, 195, 196, 197, 198, 209, 214, 215, 216, 219, 226, 228, 229, 230, 231, 267, 269, 271, 272, 274, 281, 283, 287, 289, 291, 304, 306, 308, 312, 318, 319, 320, 325, 327, 328, 329, 330, 331, 332, 338, 339, 340, 343, 347, 349, 350, 351, 352, 353, 354, 361, 362, 366, 367, 368, 369, 377, 378, 379, 380, 384, 385, 386, 387, 391, 392, 393, 394, 399, 400, 401, 402, 420, 421, 422, 427, 428, 429, 443, 445, 446, 458, 459, 460, 475, 477, 478, 479, 480, 496, 497, 502, 503, 509, 513, 521, 530, 531, 533, 534, 535, 536, 537, 540, 541, 542, 545, 546, 547, 550, 551, 552, 564, 565, 571, 572, 581, 592, 593, 601, 602, 608, 616, 633, 634, 638, 639, 640, 643, 650, 651, 652, 653, 655, 657, 667, 668, 669, 670, 671, 673, 674, 675, 676, 677, 690, 691, 694, 695, 697, 698, 699, 701, 702, 703, 704, 707, 709, 710, 711, 712, 713, 714, 716, 718, 719, 720, 721, 722, 728, 732, 733, 738, 752, 759, 775, 791, 793, 795, 797, 798, 801, 805, 810, 816, 818, 825, 826, 836, 846, 847, 859, 862, 863, 864, 868, 871, 877, 885, 888, 897, 899, 902, 904, 906, 912, 913, 924 }

C grade: { 31, 32, 46, 47, 161, 164, 184, 498, 579, 580, 751, 869, 870, 872, 873, 875, 876, 878, 879 }

F grade: { 34, 39, 40, 41, 53, 54, 55, 60, 63, 79, 115, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 217, 218, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 434, 435, 436, 440, 441, 442, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 556, 557, 558, 559, 560, 561, 566, 573, 574, 575, 576, 577, 578, 865, 931, 932, 938, 939 }

2.1.6 Sympy

A grade: { 1, 8, 15, 17, 18, 19, 22, 29, 30, 33, 35, 42, 44, 45, 48, 49, 50, 56, 58, 59, 62, 66, 67, 68, 69, 70, 71, 72, 73, 91, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 124, 135, 136, 137, 138, 180, 185, 186, 187, 188, 203, 204, 219, 220, 221, 222, 223, 224, 225, 248, 249, 250, 251, 252, 253, 254, 255, 256, 264, 265, 266, 267, 268, 270, 272, 274, 276, 277, 285, 286, 287, 296, 303, 304, 305, 322, 323, 324, 341, 342, 343, 344, 355, 356, 357, 358, 363, 364, 365, 366, 370, 371, 372, 374, 375, 376, 377, 381, 382, 383, 384, 388, 389, 390, 391, 395, 396, 397, 398, 444, 479, 480, 481, 482, 483, 499, 500, 510, 511, 526, 527, 528, 529, 538, 539, 543, 544, 548, 549, 553, 554, 562, 567, 568, 569, 582, 589, 590, 598, 599, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 651, 652, 655, 656, 659, 660, 661, 665, 666, 674, 675, 676, 678, 679, 680, 681, 684, 685, 686, 701, 702, 703, 705, 706, 707, 714, 715, 718, 720, 721, 722, 723, 724, 725, 726, 728, 730, 731, 732, 735, 736, 737, 754, 755, 756, 758, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 794, 795, 799, 800, 801, 806, 807, 808, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 824, 825, 826, 827, 830, 831, 832, 833, 834, 835, 837, 838, 839, 840, 842, 843, 844, 845, 847, 852, 855, 856, 884, 887, 889, 890, 891, 892, 894, 895, 901, 902, 905, 907, 908, 911, 913, 916, 920, 921, 923, 924, 925, 926, 929, 932, 933, 934, 935, 936, 937, 943, 944, 946 }

B grade: { 3, 4, 5, 80, 90, 110, 121, 122, 123, 128, 129, 130, 131, 132, 133, 134, 139, 140, 201, 202, 207, 208, 210, 212, 213, 263, 273, 275, 278, 280, 282, 295, 297, 306, 325, 472, 473, 474, 475, 476, 477, 478, 591, 600, 653, 654, 672, 677, 694, 695, 719, 727, 738, 751, 753, 759, 760, 775, 793, 798, 802, 803, 804, 805, 809, 821, 822, 823, 828, 836, 841, 846, 848, 849, 854, 862, 880, 881, 882, 883, 885, 888, 909, 945 }

C grade: { }

F grade: { 2, 6, 7, 9, 10, 11, 12, 13, 14, 16, 20, 21, 23, 24, 25, 26, 27, 28, 31, 32, 34, 36, 37, 38, 39, 40, 41, 43, 46, 47, 51, 52, 53, 54, 55, 57, 60, 61, 63, 64, 65, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 125, 126, 127, 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, 181, 182, 183, 184, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 205, 206, 209, 211, 214, 215, 216, 217, 218, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 257, 258, 259, 260, 261, 262, 269, 271, 279, 281, 283, 284, 288, 289, 290, 291, 292, 293, 294, 298, 299, 300, 301, 302, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 359, 360, 361, 362, 367, 368, 369, 373, 378, 379, 380, 385, 386, 387, 392, 393, 394, 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, 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, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 501, 502, 503, 504, 505, 506, 507, 508, 509, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 530, 531, 532, 533, 534, 535, 536, 537, 540, 541, 542, 545, 546, 547, 550, 551, 552, 555, 556, 557, 558, 559, 560, 561, 563, 564, 565, 566, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 583, 584, 585, 586, 587, 588, 592, 593, 594, 595, 596, 597, 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, 650, 657, 658, 662, 663, 664, 667, 668, 669, 670, 671, 673, 682, 683, 687, 688, 689, 690, 691, 692, 693, 696, 697, 698, 699, 700, 704, 708, 709, 710, 711, 712, 713, 716, 717, 729, 733, 734, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 752, 757, 761, 762, 774, 796, 797, 810, 829, 850, 851, 853, 857, 858, 859, 860, 861, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 886, 893, 896, 897, 898, 899, 900, 903, 904, 906, 910, 912, 914, 915, 917, 918, 919, 922, 927, 928, 930, 931, 938, 939, 940, 941, 942, 947, 948, 949, 950 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 35, 42, 43, 44, 45, 48, 49, 50, 56, 57, 58, 59, 62, 66, 67, 68, 69, 70, 71, 72, 73, 91, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 111, 113, 117, 119, 120, 121, 123, 124, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 150, 151, 152, 159, 180, 186, 187, 188, 189, 190, 191, 192, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 220, 222, 223, 224, 225, 226, 227, 229, 231, 248, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 268, 269, 270, 272, 274, 276, 279, 281, 283, 285, 286, 287, 288, 289, 290, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 305, 306, 308, 310, 312, 322, 323, 324, 326, 327, 328, 329, 330, 331, 332, 344, 345, 346, 348, 349, 350, 351, 352, 353, 355, 356, 357, 358, 359, 360, 361, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 388, 389, 390, 395, 396, 397, 398, 399, 400, 443, 444, 445, 446, 447, 458, 459, 460, 461, 472, 473, 474, 476, 477, 479, 480, 481, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 499, 500, 504, 505, 506, 514, 515, 520, 522, 523, 524, 525, 526, 527, 529, 530, 531, 532, 533, 535, 536, 540, 541, 545, 546, 550, 551, 562, 563, 567, 568, 569, 570, 571, 572, 582, 583, 584, 589, 591, 598, 600, 640, 641, 644, 645, 646, 647, 648, 649, 651, 652, 653, 654, 655, 656, 657, 658, 659, 661, 665, 666, 668, 669, 671, 672, 673, 674, 675, 677, 678, 679, 680, 681, 682, 684, 686, 687, 690, 691, 692, 693, 694, 695, 696, 697, 698, 700, 701, 702, 703, 704, 705, 706, 708, 710, 711, 713, 714, 715, 716, 724, 725, 726, 727, 729, 730, 731, 735, 736, 737, 738, 739, 740, 749, 753, 754, 755, 758, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 794, 795, 798, 799, 800, 802, 803, 804, 806, 807, 808, 810, 811, 812, 813, 814, 817, 818, 819, 820, 821, 822, 823, 824, 826, 828, 830, 831, 832, 833, 834, 835, 837, 838, 839, 840, 841, 843, 844, 845, 846, 847, 848, 849, 851, 852, 853, 854, 855, 856, 857, 866, 867, 880, 881, 882, 883, 884, 887, 889, 891, 893, 894, 895, 896, 897, 898, 899, 901, 903, 908, 909, 911, 913, 916, 919, 920, 921, 922, 923, 924, 925, 926, 928, 929, 932, 934, 935, 936, 937, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950 }

B grade: { 64, 65, 75, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 110, 112, 114, 116, 118, 122, 125, 126, 127, 139, 140, 141, 142, 143, 144, 145, 146, 157, 158, 162, 185, 193, 194, 195, 196, 197, 198, 199, 200, 219, 221, 228, 230, 249, 250, 251, 267, 271, 273, 275, 277, 278, 280, 282, 284, 291, 304, 307, 309, 311, 313, 325, 341, 342, 343, 347, 354, 362, 384, 385, 386, 387, 391, 392, 393, 394, 401, 402, 421, 422, 475, 478, 482, 483, 496, 501, 502, 507, 508, 510, 511, 512, 513, 516, 517, 518, 519, 521, 528, 534, 537, 538, 539, 542, 543, 544, 547, 548, 549, 552, 553, 554, 555, 564, 565, 590, 599, 638, 642, 650, 667, 670, 676, 683, 707, 718, 719, 720, 721, 722, 728, 732, 734, 743, 744, 747, 748, 752, 756, 757, 759, 775, 793, 796, 797, 801, 805, 815, 816, 825, 827, 829, 836, 842, 850, 860, 861, 862, 863, 864, 885, 886, 888, 890, 892, 902, 904, 905, 910, 915, 927, 930, 933 }

C grade: { 428, 429, 585, 586, 587, 588, 594, 595, 596, 597, 712, 751 }

F grade: { 31, 32, 34, 36, 37, 38, 39, 40, 41, 46, 47, 51, 52, 53, 54, 55, 60, 61, 63, 74, 76, 77, 78, 79, 105, 106, 107, 108, 109, 115, 147, 148, 149, 153, 154, 155, 156, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 184, 217, 218, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 314, 315, 316, 317, 318, 319, 320, 321, 333, 334, 335, 336, 337, 338, 339, 340, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 423, 424, 425, 426, 427, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 497, 498, 503, 509, 556, 557, 558, 559, 560, 561, 566, 573, 574, 575, 576, 577, 578, 579, 580, 581, 592, 593, 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, 639, 643, 660, 662, 663, 664, 685, 688, 689, 699, 709, 717, 723, 733, 741, 742, 745, 746, 750, 809, 858, 859, 865, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 900, 906, 907, 912, 914, 917, 918, 931, 938, 939 }

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









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 22 17 35 101 32 77
normalized size 1 1. 0.5 0.39 0.8 2.3 0.73 1.75
time (sec) N/A 0.04 0.036 0.016 1.697 1.426 0.324 1.138


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 22 17 35 101 0 77
normalized size 1 1. 0.5 0.39 0.8 2.3 0. 1.75
time (sec) N/A 0.038 0.028 0.081 1.575 1.454 0. 1.236


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 17 22 127 343 77
normalized size 1 1. 0.46 0.35 0.46 2.65 7.15 1.6
time (sec) N/A 0.022 0.046 0.033 1.566 1.47 8.389 1.12


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 17 22 127 343 77
normalized size 1 1. 0.46 0.35 0.46 2.65 7.15 1.6
time (sec) N/A 0.02 0.059 0.02 1.602 1.421 10.251 1.104


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 17 22 127 343 77
normalized size 1 1. 0.46 0.35 0.46 2.65 7.15 1.6
time (sec) N/A 0.026 0.025 0.04 1.671 1.469 9.454 1.097


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 17 22 127 0 77
normalized size 1 1. 0.46 0.35 0.46 2.65 0. 1.6
time (sec) N/A 0.044 0.019 0.061 1.542 1.532 0. 2.459


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 17 22 127 0 77
normalized size 1 1. 0.46 0.35 0.46 2.65 0. 1.6
time (sec) N/A 0.041 0.018 0.061 1.526 1.459 0. 1.28


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 73 207 42 53
normalized size 1 1. 0.37 0.28 1.22 3.45 0.7 0.88
time (sec) N/A 0.026 0.038 0.012 1.628 1.402 0.39 1.21


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 73 207 0 53
normalized size 1 1. 0.37 0.28 1.22 3.45 0. 0.88
time (sec) N/A 0.046 0.039 0.084 1.665 1.485 0. 1.302


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 46 232 0 53
normalized size 1 1. 0.37 0.28 0.77 3.87 0. 0.88
time (sec) N/A 0.02 0.058 0.029 1.611 1.405 0. 1.172


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 46 232 0 53
normalized size 1 1. 0.37 0.28 0.77 3.87 0. 0.88
time (sec) N/A 0.019 0.07 0.017 1.597 1.311 0. 1.186


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 46 232 0 53
normalized size 1 1. 0.37 0.28 0.77 3.87 0. 0.88
time (sec) N/A 0.03 0.032 0.043 1.6 1.407 0. 1.225


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 46 232 0 53
normalized size 1 1. 0.37 0.28 0.77 3.87 0. 0.88
time (sec) N/A 0.045 0.024 0.061 1.559 1.432 0. 2.534


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 22 17 46 232 0 53
normalized size 1 1. 0.37 0.28 0.77 3.87 0. 0.88
time (sec) N/A 0.046 0.031 0.055 1.613 1.51 0. 1.374


















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 42 42 22 18 36 101 34 77
normalized size 1 1. 0.52 0.43 0.86 2.4 0.81 1.83
time (sec) N/A 0.037 0.029 0.011 1.686 1.221 0.307 1.125


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 22 18 36 101 0 77
normalized size 1 1. 0.52 0.43 0.86 2.4 0. 1.83
time (sec) N/A 0.037 0.022 0.073 1.749 1.849 0. 1.188


















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 48 48 22 18 23 124 76 77
normalized size 1 1. 0.46 0.38 0.48 2.58 1.58 1.6
time (sec) N/A 0.019 0.021 0.024 1.578 1.737 1.204 1.122


















Problem 18 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 48 48 22 18 23 124 76 77
normalized size 1 1. 0.46 0.38 0.48 2.58 1.58 1.6
time (sec) N/A 0.016 0.041 0.017 1.609 1.783 0.949 1.13


















Problem 19 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 48 48 22 18 23 124 76 77
normalized size 1 1. 0.46 0.38 0.48 2.58 1.58 1.6
time (sec) N/A 0.027 0.021 0.039 1.572 1.79 1.275 1.138


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 18 23 124 0 77
normalized size 1 1. 0.46 0.38 0.48 2.58 0. 1.6
time (sec) N/A 0.042 0.018 0.06 1.607 1.867 0. 1.82


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 22 18 23 124 0 77
normalized size 1 1. 0.46 0.38 0.48 2.58 0. 1.6
time (sec) N/A 0.045 0.019 0.087 1.56 1.843 0. 1.463


















Problem 22 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 61 61 22 18 72 207 39 53
normalized size 1 1. 0.36 0.3 1.18 3.39 0.64 0.87
time (sec) N/A 0.03 0.027 0.01 1.555 1.825 0.398 1.21


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 72 207 0 53
normalized size 1 1. 0.36 0.3 1.18 3.39 0. 0.87
time (sec) N/A 0.046 0.035 0.079 1.495 1.755 0. 1.315


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 43 230 0 53
normalized size 1 1. 0.36 0.3 0.7 3.77 0. 0.87
time (sec) N/A 0.02 0.065 0.03 1.604 1.693 0. 1.222


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 43 230 0 53
normalized size 1 1. 0.36 0.3 0.7 3.77 0. 0.87
time (sec) N/A 0.019 0.058 0.018 1.663 1.639 0. 1.207


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 43 230 0 53
normalized size 1 1. 0.36 0.3 0.7 3.77 0. 0.87
time (sec) N/A 0.031 0.031 0.042 1.561 1.625 0. 1.24


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 43 230 0 53
normalized size 1 1. 0.36 0.3 0.7 3.77 0. 0.87
time (sec) N/A 0.043 0.021 0.059 1.648 1.722 0. 1.873


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 22 18 43 230 0 53
normalized size 1 1. 0.36 0.3 0.7 3.77 0. 0.87
time (sec) N/A 0.047 0.035 0.086 1.667 1.796 0. 1.51


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 25 32 76 41 32
normalized size 1 1. 1. 0.83 1.07 2.53 1.37 1.07
time (sec) N/A 0.035 0.062 0.009 1.11 1.715 0.19 1.145


















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 56 56 48 57 65 135 85 62
normalized size 1 1. 0.86 1.02 1.16 2.41 1.52 1.11
time (sec) N/A 0.067 0.088 0.037 1.116 2.026 0.384 1.189


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 172 229 0 377 0 0
normalized size 1 1. 0.81 1.08 0. 1.77 0. 0.
time (sec) N/A 0.536 0.322 0.022 0. 2.131 0. 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 271 271 238 320 0 950 0 0
normalized size 1 1. 0.88 1.18 0. 3.51 0. 0.
time (sec) N/A 0.802 0.579 0.015 0. 2.428 0. 0.


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 28 10 11
normalized size 1 1. 1. 0.9 1.1 2.8 1. 1.1
time (sec) N/A 0.018 0.023 0.011 1.095 1.991 0.334 1.142


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 46 72 0 0 0 0
normalized size 1 1. 1.64 2.57 0. 0. 0. 0.
time (sec) N/A 0.471 0.709 0.046 0. 0. 0. 0.


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 26 12 23 89 15 15
normalized size 1 1. 2.17 1. 1.92 7.42 1.25 1.25
time (sec) N/A 0.029 0.02 0.017 1.099 2.021 2.354 1.113


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 100 100 272 142 0 323 0 0
normalized size 1 1. 2.72 1.42 0. 3.23 0. 0.
time (sec) N/A 0.164 5.519 0.013 0. 2.252 0. 0.


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 401 195 0 351 0 0
normalized size 1 1. 3.75 1.82 0. 3.28 0. 0.
time (sec) N/A 0.192 7.279 0.015 0. 2.251 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 657 295 0 651 0 0
normalized size 1 1. 3.39 1.52 0. 3.36 0. 0.
time (sec) N/A 0.322 7.721 0.015 0. 2.476 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 53 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.096 0.118 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.075 0.07 0. 0. 0. 0.


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.041 0.021 0. 0. 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 5.542 0.04 0. 0. 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 41 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 18.71 0.046 0. 0. 0. 0.


















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 30 30 26 25 32 76 41 32
normalized size 1 1. 0.87 0.83 1.07 2.53 1.37 1.07
time (sec) N/A 0.034 0.069 0.008 1.126 2.299 0.21 1.11


















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 56 56 51 57 62 135 85 62
normalized size 1 1. 0.91 1.02 1.11 2.41 1.52 1.11
time (sec) N/A 0.069 0.104 0.032 1.156 2.323 0.52 1.124


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 172 229 0 398 0 0
normalized size 1 1. 0.81 1.08 0. 1.87 0. 0.
time (sec) N/A 0.308 0.303 0.016 0. 2.496 0. 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 271 271 236 320 0 963 0 0
normalized size 1 1. 0.87 1.18 0. 3.55 0. 0.
time (sec) N/A 0.562 0.542 0.017 0. 2.643 0. 0.


















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 10 10 10 9 11 27 8 11
normalized size 1 1. 1. 0.9 1.1 2.7 0.8 1.1
time (sec) N/A 0.136 0.032 0.011 1.124 2.304 0.902 1.099


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 18 23 112 20 23
normalized size 1 1. 1. 0.82 1.05 5.09 0.91 1.05
time (sec) N/A 0.189 0.053 0.015 1.59 2.336 1.585 1.099


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 20 16 22 46 15 26
normalized size 1 1. 0.83 0.67 0.92 1.92 0.62 1.08
time (sec) N/A 0.493 0.156 0.025 1.139 2.153 7.2 1.098


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 260 142 0 323 0 0
normalized size 1 1. 2.57 1.41 0. 3.2 0. 0.
time (sec) N/A 0.133 5.135 0.016 0. 2.47 0. 0.


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 400 195 0 338 0 0
normalized size 1 1. 3.74 1.82 0. 3.16 0. 0.
time (sec) N/A 0.161 6.113 0.02 0. 2.583 0. 0.


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 53 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.024 0.122 0. 0. 0. 0.


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 51 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.08 0.038 0.088 0. 0. 0. 0.


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.006 0.027 0. 0. 0. 0.


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 2.897 0.031 0. 0. 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 41 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 10.993 0.05 0. 0. 0. 0.


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 41 10 11
normalized size 1 1. 1. 0.89 1. 4.56 1.11 1.22
time (sec) N/A 0.01 0.012 0.003 1.014 2.359 0.991 1.103


















Problem 59 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 16 16 18 13 16 39 14 16
normalized size 1 1. 1.12 0.81 1. 2.44 0.88 1.
time (sec) N/A 0.018 0.034 0.007 1.48 2.29 1.02 1.114


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 70 0 108 0 0 0
normalized size 1 1. 1. 0. 1.54 0. 0. 0.
time (sec) N/A 0.091 0.021 0.026 1.521 0. 0. 0.


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 18 112 59 0 0
normalized size 1 1. 0.95 0.95 5.89 3.11 0. 0.
time (sec) N/A 0.018 0.676 0.03 1.207 2.375 0. 0.


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 26 14 19 88 15 30
normalized size 1 1. 1.62 0.88 1.19 5.5 0.94 1.88
time (sec) N/A 0.018 0.044 0.005 1.498 2.388 0.709 1.121


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 85 150 0 0 0 0
normalized size 1 1. 0.92 1.63 0. 0. 0. 0.
time (sec) N/A 0.164 1.565 0.305 0. 0. 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 48 0 193 0 1280
normalized size 1 1. 1. 1.37 0. 5.51 0. 36.57
time (sec) N/A 0.033 0.037 0.045 0. 2.408 0. 2.547


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 48 0 193 0 1280
normalized size 1 1. 1. 1.37 0. 5.51 0. 36.57
time (sec) N/A 0.033 0.025 0.002 0. 2.486 0. 2.523


















Problem 66 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 15 15 15 7 15 38 20 15
normalized size 1 1. 1. 0.47 1. 2.53 1.33 1.
time (sec) N/A 0.009 0.005 0.01 0.96 2.304 0.549 1.13


















Problem 67 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 17 17 17 14 18 39 20 18
normalized size 1 1. 1. 0.82 1.06 2.29 1.18 1.06
time (sec) N/A 0.008 0.007 0.026 0.971 2.325 0.775 1.109


















Problem 68 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 17 17 17 14 18 59 20 18
normalized size 1 1. 1. 0.82 1.06 3.47 1.18 1.06
time (sec) N/A 0.008 0.007 0.029 1.019 2.232 1.776 1.104


















Problem 69 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 35 35 25 28 38 68 78 39
normalized size 1 1. 0.71 0.8 1.09 1.94 2.23 1.11
time (sec) N/A 0.031 0.043 0.013 0.968 2.273 5.022 1.114


















Problem 70 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 15 15 15 12 15 32 20 15
normalized size 1 1. 1. 0.8 1. 2.13 1.33 1.
time (sec) N/A 0.008 0.005 0.013 0.984 2.227 1.864 1.108


















Problem 71 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 17 17 17 14 18 35 20 18
normalized size 1 1. 1. 0.82 1.06 2.06 1.18 1.06
time (sec) N/A 0.008 0.006 0.035 0.985 2.251 0.897 1.148


















Problem 72 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 17 17 17 14 18 53 20 18
normalized size 1 1. 1. 0.82 1.06 3.12 1.18 1.06
time (sec) N/A 0.008 0.006 0.035 1.006 2.284 0.957 1.09


















Problem 73 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 35 35 24 28 38 66 39 39
normalized size 1 1. 0.69 0.8 1.09 1.89 1.11 1.11
time (sec) N/A 0.027 0.04 0.011 0.98 2.359 3.709 1.143


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 18 190 109 0 0
normalized size 1 1. 1. 0.9 9.5 5.45 0. 0.
time (sec) N/A 0.023 0.013 0.043 1.536 2.364 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 21 38 0 138 0 491
normalized size 1 1. 0.45 0.81 0. 2.94 0. 10.45
time (sec) N/A 0.052 0.028 0.094 0. 2.541 0. 1.251


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 69 115 0 329 0 0
normalized size 1 1. 0.97 1.62 0. 4.63 0. 0.
time (sec) N/A 0.109 0.069 0.166 0. 2.455 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 100 84 0 451 0 0
normalized size 1 1. 0.89 0.75 0. 4.03 0. 0.
time (sec) N/A 0.17 0.151 0.141 0. 2.736 0. 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 84 256 0 435 0 0
normalized size 1 1. 0.94 2.88 0. 4.89 0. 0.
time (sec) N/A 0.271 0.134 0.281 0. 2.78 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 200 0 0 0 0 0
normalized size 1 1. 1.9 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.165 0.174 0. 0. 0. 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 12 50 73 19 26
normalized size 1 1. 1. 1.2 5. 7.3 1.9 2.6
time (sec) N/A 0.022 0.009 0.026 1.496 2.42 1.206 1.13


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 171 109 0 46
normalized size 1 1. 1. 0.85 8.55 5.45 0. 2.3
time (sec) N/A 0.027 0.017 0.046 1.587 2.326 0. 1.157


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 30 234 170 0 68
normalized size 1 1. 1. 1.07 8.36 6.07 0. 2.43
time (sec) N/A 0.051 0.032 0.047 1.579 2.502 0. 1.162


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 76 70 0 423 0 150
normalized size 1 1. 0.93 0.85 0. 5.16 0. 1.83
time (sec) N/A 0.196 0.224 0.103 0. 2.702 0. 1.29


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 49 0 243 0 95
normalized size 1 1. 1. 1.29 0. 6.39 0. 2.5
time (sec) N/A 0.082 0.067 0.069 0. 2.719 0. 1.151


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 174 13 174 97 0 66
normalized size 1 1. 11.6 0.87 11.6 6.47 0. 4.4
time (sec) N/A 0.015 0.368 0.028 1.712 2.46 0. 1.264


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 17 18 109 61 0 68
normalized size 1 1. 0.81 0.86 5.19 2.9 0. 3.24
time (sec) N/A 0.027 0.008 0.061 1.473 2.536 0. 1.232


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 71 71 4845 54 0 394 0 147
normalized size 1 1. 68.24 0.76 0. 5.55 0. 2.07
time (sec) N/A 0.062 56.622 0.066 0. 2.89 0. 1.298


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 57 43 0 230 0 159
normalized size 1 1. 0.92 0.69 0. 3.71 0. 2.56
time (sec) N/A 0.073 0.097 0.079 0. 2.783 0. 1.261


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 85 85 678 80 0 498 0 208
normalized size 1 1. 7.98 0.94 0. 5.86 0. 2.45
time (sec) N/A 0.063 9.28 0.096 0. 2.997 0. 1.319


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 37 9 47 59 15 34
normalized size 1 1. 5.29 1.29 6.71 8.43 2.14 4.86
time (sec) N/A 0.012 0.006 0.018 1.546 2.347 6.401 1.14


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 15 14 169 177 76 42
normalized size 1 1. 0.33 0.31 3.76 3.93 1.69 0.93
time (sec) N/A 0.04 0.02 0.064 1.574 2.349 4.899 1.201


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 28 231 158 0 65
normalized size 1 1. 1. 1.08 8.88 6.08 0. 2.5
time (sec) N/A 0.025 0.023 0.068 1.56 2.583 0. 1.161


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 165 165 84 66 0 759 0 142
normalized size 1 1. 0.51 0.4 0. 4.6 0. 0.86
time (sec) N/A 0.141 0.11 0.107 0. 2.73 0. 1.356


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 30 47 0 231 0 92
normalized size 1 1. 0.83 1.31 0. 6.42 0. 2.56
time (sec) N/A 0.046 0.037 0.093 0. 2.74 0. 1.198


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 6 9 8 28 5 8
normalized size 1 1. 0.75 1.12 1. 3.5 0.62 1.
time (sec) N/A 0.03 0.012 0.032 1.022 2.424 1.683 1.1


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 9 8 19 7 8
normalized size 1 1. 1. 1.12 1. 2.38 0.88 1.
time (sec) N/A 0.014 0.003 0.012 0.992 2.475 4.921 1.155


















Problem 97 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 15 15 15 7 15 20 22 15
normalized size 1 1. 1. 0.47 1. 1.33 1.47 1.
time (sec) N/A 0.009 0.005 0.009 0.995 2.298 0.892 1.125


















Problem 98 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 17 17 17 14 18 35 22 18
normalized size 1 1. 1. 0.82 1.06 2.06 1.29 1.06
time (sec) N/A 0.008 0.006 0.034 1.001 2.477 0.618 1.082


















Problem 99 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 17 17 17 14 18 41 22 18
normalized size 1 1. 1. 0.82 1.06 2.41 1.29 1.06
time (sec) N/A 0.008 0.006 0.02 1.003 2.5 0.69 1.111


















Problem 100 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 35 35 26 28 36 68 44 39
normalized size 1 1. 0.74 0.8 1.03 1.94 1.26 1.11
time (sec) N/A 0.03 0.049 0.008 0.977 2.523 1.246 1.103


















Problem 101 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 15 15 15 12 15 39 20 15
normalized size 1 1. 1. 0.8 1. 2.6 1.33 1.
time (sec) N/A 0.009 0.005 0.018 0.98 2.337 0.786 1.106


















Problem 102 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 17 17 17 14 18 23 20 18
normalized size 1 1. 1. 0.82 1.06 1.35 1.18 1.06
time (sec) N/A 0.009 0.006 0.021 0.987 2.361 0.814 1.108


















Problem 103 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 17 17 17 14 18 59 20 18
normalized size 1 1. 1. 0.82 1.06 3.47 1.18 1.06
time (sec) N/A 0.008 0.005 0.041 1.008 2.269 0.558 1.155


















Problem 104 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 35 35 25 28 38 66 56 39
normalized size 1 1. 0.71 0.8 1.09 1.89 1.6 1.11
time (sec) N/A 0.029 0.039 0.012 1.016 2.429 4.911 1.112


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 183 18 180 109 0 0
normalized size 1 1. 9.15 0.9 9. 5.45 0. 0.
time (sec) N/A 0.025 0.24 0.015 1.577 2.825 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 48 19 0 109 0 0
normalized size 1 1. 2.29 0.9 0. 5.19 0. 0.
time (sec) N/A 0.024 0.053 0.022 0. 2.856 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 71 71 6196 68 0 329 0 0
normalized size 1 1. 87.27 0.96 0. 4.63 0. 0.
time (sec) N/A 0.083 58.347 0.043 0. 2.789 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 215 72 0 421 0 0
normalized size 1 1. 2.56 0.86 0. 5.01 0. 0.
time (sec) N/A 0.098 0.598 0.036 0. 2.634 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 679 104 0 435 0 0
normalized size 1 1. 7.63 1.17 0. 4.89 0. 0.
time (sec) N/A 0.238 8.927 0.049 0. 2.75 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 25 14 50 88 19 26
normalized size 1 1. 2.5 1.4 5. 8.8 1.9 2.6
time (sec) N/A 0.02 0.015 0.025 0.992 2.517 1.489 1.139


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 47 36 177 155 0 53
normalized size 1 1. 1.04 0.8 3.93 3.44 0. 1.18
time (sec) N/A 0.053 0.019 0.101 1.506 2.521 0. 1.142


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 73 30 223 185 0 68
normalized size 1 1. 2.61 1.07 7.96 6.61 0. 2.43
time (sec) N/A 0.049 0.066 0.134 1.541 2.576 0. 1.14


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 133 82 0 466 0 158
normalized size 1 1. 1.21 0.75 0. 4.24 0. 1.44
time (sec) N/A 0.155 0.125 0.153 0. 2.605 0. 1.197


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 87 49 0 259 0 95
normalized size 1 1. 2.29 1.29 0. 6.82 0. 2.5
time (sec) N/A 0.071 0.086 0.2 0. 2.616 0. 1.147


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 179 0 0 0 0 0
normalized size 1 1. 1.95 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.191 0.223 0. 0. 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 13 185 97 0 42
normalized size 1 1. 1. 0.87 12.33 6.47 0. 2.8
time (sec) N/A 0.015 0.007 0.029 1.551 2.29 0. 1.135


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 15 13 103 162 0 42
normalized size 1 1. 0.34 0.3 2.34 3.68 0. 0.95
time (sec) N/A 0.036 0.017 0.054 1.544 2.488 0. 1.157


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 67 54 0 393 0 134
normalized size 1 1. 0.94 0.76 0. 5.54 0. 1.89
time (sec) N/A 0.046 0.107 0.083 0. 2.607 0. 1.31


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 84 68 0 759 0 142
normalized size 1 1. 0.52 0.42 0. 4.66 0. 0.87
time (sec) N/A 0.129 0.104 0.1 0. 2.81 0. 1.357


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 81 80 0 500 0 178
normalized size 1 1. 0.95 0.94 0. 5.88 0. 2.09
time (sec) N/A 0.061 0.087 0.111 0. 2.797 0. 1.335


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 14 26 76 20 28
normalized size 1 1. 1. 1.4 2.6 7.6 2. 2.8
time (sec) N/A 0.018 0.007 0.026 0.995 2.361 2.574 1.095


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 18 174 81 427 34
normalized size 1 1. 1. 1.29 12.43 5.79 30.5 2.43
time (sec) N/A 0.02 0.008 0.034 1.546 2.313 20.535 1.139


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 21 11 47 77 15 11
normalized size 1 1. 3. 1.57 6.71 11. 2.14 1.57
time (sec) N/A 0.011 0.003 0.017 0.989 2.482 7.943 1.115


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 0 174 65 17 41
normalized size 1 1. 1. 0. 8.29 3.1 0.81 1.95
time (sec) N/A 0.026 0.008 180. 1.52 2.538 4.886 1.114


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 66 28 220 174 0 88
normalized size 1 1. 2.54 1.08 8.46 6.69 0. 3.38
time (sec) N/A 0.026 0.058 0.045 1.553 2.473 0. 1.171


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 57 80 0 232 0 177
normalized size 1 1. 0.92 1.29 0. 3.74 0. 2.85
time (sec) N/A 0.07 0.062 0.097 0. 2.567 0. 1.202


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 83 47 0 248 0 136
normalized size 1 1. 2.31 1.31 0. 6.89 0. 3.78
time (sec) N/A 0.041 0.073 0.059 0. 2.659 0. 1.178


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 34 234 63 34
normalized size 1 1. 1. 0.79 1.03 7.09 1.91 1.03
time (sec) N/A 0.031 0.017 0.092 0.994 2.796 11.434 1.12


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 34 117 71 34
normalized size 1 1. 1. 0.79 1.03 3.55 2.15 1.03
time (sec) N/A 0.033 0.017 0.038 1.012 2.446 23.391 1.122


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 20 26 92 48 26
normalized size 1 1. 1. 0.8 1.04 3.68 1.92 1.04
time (sec) N/A 0.028 0.016 0.048 0.982 2.368 12.775 1.121


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 18 23 154 42 23
normalized size 1 1. 1. 0.78 1. 6.7 1.83 1.
time (sec) N/A 0.026 0.012 0.051 1.008 2.489 12.85 1.119


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 34 197 65 34
normalized size 1 1. 1. 0.79 1.03 5.97 1.97 1.03
time (sec) N/A 0.031 0.015 0.059 1.024 2.762 16.104 1.14


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 24 31 297 70 31
normalized size 1 1. 1. 0.77 1. 9.58 2.26 1.
time (sec) N/A 0.03 0.015 0.18 1.007 3.119 11.812 1.104


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 32 42 80 228 42
normalized size 1 1. 1. 0.78 1.02 1.95 5.56 1.02
time (sec) N/A 0.043 0.019 0.066 1.012 2.396 52.917 1.161


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 26 24 31 127 58 31
normalized size 1 1. 0.96 0.89 1.15 4.7 2.15 1.15
time (sec) N/A 0.024 0.048 0.011 1. 2.451 1.392 1.131


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 26 24 31 124 61 31
normalized size 1 1. 0.96 0.89 1.15 4.59 2.26 1.15
time (sec) N/A 0.025 0.034 0.01 1.006 2.416 1.216 1.118


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 26 24 31 127 58 31
normalized size 1 1. 0.96 0.89 1.15 4.7 2.15 1.15
time (sec) N/A 0.017 0.025 0.013 0.982 2.296 1.093 1.107


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 26 24 31 123 58 31
normalized size 1 1. 0.96 0.89 1.15 4.56 2.15 1.15
time (sec) N/A 0.019 0.023 0.012 1.017 2.383 3.505 1.11


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 31 173 501 387 7713 109
normalized size 1 1. 0.79 4.44 12.85 9.92 197.77 2.79
time (sec) N/A 0.066 0.503 0.074 1.131 2.467 10.587 1.163


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 145 392 374 7720 109
normalized size 1 1. 0.82 4.26 11.53 11. 227.06 3.21
time (sec) N/A 0.068 0.517 0.067 1.085 2.57 10.155 1.166


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 31 177 741 315 0 470
normalized size 1 1. 0.79 4.54 19. 8.08 0. 12.05
time (sec) N/A 0.032 0.508 0.076 1.166 2.525 0. 1.243


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 30 149 583 304 0 466
normalized size 1 1. 0.88 4.38 17.15 8.94 0. 13.71
time (sec) N/A 0.034 0.489 0.08 1.156 2.531 0. 1.203


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 28 55 471 273 0 231
normalized size 1 1. 0.78 1.53 13.08 7.58 0. 6.42
time (sec) N/A 0.019 0.224 0.231 1.058 2.603 0. 1.247


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 26 53 435 263 0 228
normalized size 1 1. 0.79 1.61 13.18 7.97 0. 6.91
time (sec) N/A 0.018 0.229 0.221 1.091 2.529 0. 1.242


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 28 169 761 281 0 535
normalized size 1 1. 0.78 4.69 21.14 7.81 0. 14.86
time (sec) N/A 0.018 0.241 0.234 1.115 2.753 0. 1.256


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 29 81 724 270 0 536
normalized size 1 1. 0.88 2.45 21.94 8.18 0. 16.24
time (sec) N/A 0.018 0.219 0.232 1.115 2.67 0. 1.249


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 177 77 63 0 0
normalized size 1 1. 1. 13.62 5.92 4.85 0. 0.
time (sec) N/A 0.032 0.082 0.217 1.539 2.432 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 23 587 77 76 0 0
normalized size 1 1. 0.74 18.94 2.48 2.45 0. 0.
time (sec) N/A 0.053 0.041 0.13 1.555 2.412 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 29 324 111 112 0 0
normalized size 1 1. 0.58 6.48 2.22 2.24 0. 0.
time (sec) N/A 0.075 0.099 0.167 1.607 2.403 0. 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 20 254 53 0 16
normalized size 1 1. 1. 1.54 19.54 4.08 0. 1.23
time (sec) N/A 0.038 0.069 0.132 1.797 2.387 0. 1.146


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 21 26 424 66 0 26
normalized size 1 1. 0.68 0.84 13.68 2.13 0. 0.84
time (sec) N/A 0.068 0.038 0.117 1.855 2.396 0. 1.129


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 29 34 576 103 0 36
normalized size 1 1. 0.58 0.68 11.52 2.06 0. 0.72
time (sec) N/A 0.094 0.1 0.155 1.909 2.543 0. 1.122


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 56 159 0 531 0 0
normalized size 1 1. 0.97 2.74 0. 9.16 0. 0.
time (sec) N/A 0.078 0.14 0.247 0. 2.582 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 84 257 0 1013 0 0
normalized size 1 1. 0.99 3.02 0. 11.92 0. 0.
time (sec) N/A 0.106 0.254 0.412 0. 2.557 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 58 154 0 516 0 0
normalized size 1 1. 0.98 2.61 0. 8.75 0. 0.
time (sec) N/A 0.059 0.104 0.125 0. 2.526 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 85 250 0 944 0 0
normalized size 1 1. 0.97 2.84 0. 10.73 0. 0.
time (sec) N/A 0.103 0.316 0.231 0. 2.687 0. 0.


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 86 338 216 0 435
normalized size 1 1. 0.96 1.72 6.76 4.32 0. 8.7
time (sec) N/A 0.083 0.176 0.164 1.039 2.576 0. 1.362


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 87 338 216 0 435
normalized size 1 1. 0.96 1.74 6.76 4.32 0. 8.7
time (sec) N/A 0.082 0.182 0.147 1.051 2.646 0. 1.303


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 24 0 487 0 54
normalized size 1 1. 1. 0.75 0. 15.22 0. 1.69
time (sec) N/A 0.055 0.097 0.065 0. 2.885 0. 1.466


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 512 1003 0 8015 0 0
normalized size 1 1. 2.43 4.75 0. 37.99 0. 0.
time (sec) N/A 0.528 6.535 0.157 0. 7.232 0. 0.


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 294 1251 0 11173 0 0
normalized size 1 1. 0.87 3.71 0. 33.15 0. 0.
time (sec) N/A 0.9 1.054 0.144 0. 7.13 0. 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 34 0 747 0 103
normalized size 1 1. 1. 0.85 0. 18.68 0. 2.58
time (sec) N/A 0.605 0.263 0.084 0. 2.938 0. 1.428


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 751 1670 0 10267 0 0
normalized size 1 1. 2.81 6.25 0. 38.45 0. 0.
time (sec) N/A 0.719 4.344 0.201 0. 7.029 0. 0.


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 407 407 499 2061 0 14288 0 0
normalized size 1 1. 1.23 5.06 0. 35.11 0. 0.
time (sec) N/A 1.075 2.194 0.173 0. 7.743 0. 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 61 0 0 0 0 0
normalized size 1 1. 0.39 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.512 0.17 0. 0. 0. 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 54 0 0 0 0 0
normalized size 1 1. 0.46 0. 0. 0. 0. 0.
time (sec) N/A 0.176 0.332 0.082 0. 0. 0. 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 44 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.206 0.081 0. 0. 0. 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 52 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 0.183 0.222 0.083 0. 0. 0. 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 65 0 0 0 0 0
normalized size 1 1. 0.53 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.248 0.082 0. 0. 0. 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 87 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 0.226 0.29 0.08 0. 0. 0. 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 393 393 113 0 0 0 0 0
normalized size 1 1. 0.29 0. 0. 0. 0. 0.
time (sec) N/A 0.375 1.159 0.079 0. 0. 0. 0.


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 95 0 0 0 0 0
normalized size 1 1. 0.36 0. 0. 0. 0. 0.
time (sec) N/A 0.274 0.823 0.08 0. 0. 0. 0.


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 73 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 0.143 0.62 0.076 0. 0. 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 150 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.662 1.242 0.078 0. 0. 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 273 231 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.665 1.484 0.079 0. 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 317 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.741 1.817 0.084 0. 0. 0. 0.


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 767 767 247 0 0 0 0 0
normalized size 1 1. 0.32 0. 0. 0. 0. 0.
time (sec) N/A 1.351 2.752 0.092 0. 0. 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 555 555 194 0 0 0 0 0
normalized size 1 1. 0.35 0. 0. 0. 0. 0.
time (sec) N/A 0.877 1.923 0.092 0. 0. 0. 0.


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 355 355 154 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 0.511 1.241 0.188 0. 0. 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 108 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.646 3.58 0.102 0. 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 536 193 0 0 0 0 0
normalized size 1 1. 0.36 0. 0. 0. 0. 0.
time (sec) N/A 3.55 2.05 0.077 0. 0. 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 154 0 0 0 0 0
normalized size 1 1. 0.55 0. 0. 0. 0. 0.
time (sec) N/A 2.155 1.6 0.077 0. 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 150 0 0 180 0 0
normalized size 1 1. 0.88 0. 0. 1.05 0. 0.
time (sec) N/A 0.973 0.622 0.079 0. 2.357 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 300 300 85 154 76 271 0 0
normalized size 1 1. 0.28 0.51 0.25 0.9 0. 0.
time (sec) N/A 0.438 0.084 0.067 1.561 2.43 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 51 24 31 107 27 69
normalized size 1 1. 2.83 1.33 1.72 5.94 1.5 3.83
time (sec) N/A 0.098 0.015 0.038 0.975 2.535 3.579 1.171


















Problem 186 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 67 52 73 170 61 135
normalized size 1 1. 1.18 0.91 1.28 2.98 1.07 2.37
time (sec) N/A 0.202 0.082 0.046 1.014 2.573 8.76 1.183


















Problem 187 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 75 75 80 77 113 213 92 169
normalized size 1 1. 1.07 1.03 1.51 2.84 1.23 2.25
time (sec) N/A 0.297 0.104 0.054 0.992 2.589 37.164 1.159


















Problem 188 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 104 104 97 103 159 255 116 201
normalized size 1 1. 0.93 0.99 1.53 2.45 1.12 1.93
time (sec) N/A 0.403 0.126 0.088 1.008 2.542 174.516 1.169


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 71 46 85 143 0 62
normalized size 1 1. 2.84 1.84 3.4 5.72 0. 2.48
time (sec) N/A 0.093 0.085 0.03 0.992 2.461 0. 1.179


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 76 71 126 248 0 104
normalized size 1 1. 1.58 1.48 2.62 5.17 0. 2.17
time (sec) N/A 0.185 0.204 0.032 1.03 2.436 0. 1.191


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 88 95 161 356 0 138
normalized size 1 1. 1.17 1.27 2.15 4.75 0. 1.84
time (sec) N/A 0.311 0.351 0.035 1.011 2.436 0. 1.165


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 104 119 193 464 0 170
normalized size 1 1. 1.08 1.24 2.01 4.83 0. 1.77
time (sec) N/A 0.414 0.805 0.037 1.1 2.539 0. 1.156


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 78 228 58 354 0 244
normalized size 1 1. 0.8 2.33 0.59 3.61 0. 2.49
time (sec) N/A 0.432 0.165 2.795 1.734 2.484 0. 3.309


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 62 199 35 297 0 209
normalized size 1 1. 0.86 2.76 0.49 4.12 0. 2.9
time (sec) N/A 0.294 0.105 2.882 1.692 2.481 0. 3.235


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 47 152 18 252 0 155
normalized size 1 1. 1.07 3.45 0.41 5.73 0. 3.52
time (sec) N/A 0.16 0.037 2.702 1.67 2.431 0. 3.222


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 52 192 78 354 0 180
normalized size 1 1. 0.76 2.82 1.15 5.21 0. 2.65
time (sec) N/A 0.195 0.051 3.422 1.709 2.601 0. 2.235


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 73 270 0 559 0 227
normalized size 1 1. 0.79 2.93 0. 6.08 0. 2.47
time (sec) N/A 0.336 0.372 3.653 0. 2.49 0. 2.291


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 95 322 0 689 0 269
normalized size 1 1. 0.79 2.68 0. 5.74 0. 2.24
time (sec) N/A 0.482 0.5 3.66 0. 2.615 0. 2.43


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 80 0 93 0 382
normalized size 1 1. 1. 3.2 0. 3.72 0. 15.28
time (sec) N/A 0.053 0.197 0.337 0. 2.534 0. 1.297


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 91 0 93 0 536
normalized size 1 1. 1. 3.79 0. 3.88 0. 22.33
time (sec) N/A 0.056 0.125 0.166 0. 2.529 0. 1.328


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 9 11 42 41 11
normalized size 1 1. 1. 1.12 1.38 5.25 5.12 1.38
time (sec) N/A 0.041 0.008 0.022 1.492 2.214 1.503 1.117


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 24 16 20 107 416 66
normalized size 1 1. 0.67 0.44 0.56 2.97 11.56 1.83
time (sec) N/A 0.041 0.029 0.022 1.482 2.396 77.885 1.118


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 11 14 42 12 22
normalized size 1 1. 1. 1.38 1.75 5.25 1.5 2.75
time (sec) N/A 0.041 0.008 0.037 1.511 2.218 2.488 1.153


















Problem 204 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 37 37 23 17 22 104 61 66
normalized size 1 1. 0.62 0.46 0.59 2.81 1.65 1.78
time (sec) N/A 0.038 0.032 0.03 1.488 2.506 5.674 1.163


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 32 0 30 0 35
normalized size 1 1. 1. 2.29 0. 2.14 0. 2.5
time (sec) N/A 0.128 0.01 0.029 0. 2.388 0. 1.15


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 73 148 0 558 0 149
normalized size 1 1. 0.7 1.41 0. 5.31 0. 1.42
time (sec) N/A 0.26 0.154 0.042 0. 2.722 0. 1.14


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 34 44 39 128 143 84
normalized size 1 1. 0.6 0.77 0.68 2.25 2.51 1.47
time (sec) N/A 0.134 0.089 0.032 1.499 2.569 27.942 1.1


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 20 23 49 24 39
normalized size 1 1. 1. 1.33 1.53 3.27 1.6 2.6
time (sec) N/A 0.089 0.013 0.031 1.56 2.34 1.87 1.169


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 47 78 0 547 0 78
normalized size 1 1. 0.96 1.59 0. 11.16 0. 1.59
time (sec) N/A 0.15 0.16 0.038 0. 2.879 0. 1.145


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 28 0 30 76 30
normalized size 1 1. 1. 2.15 0. 2.31 5.85 2.31
time (sec) N/A 0.119 0.01 0.044 0. 2.413 152.837 1.141


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 72 153 0 571 0 126
normalized size 1 1. 0.72 1.53 0. 5.71 0. 1.26
time (sec) N/A 0.24 0.19 0.033 0. 2.634 0. 1.166


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 31 42 38 131 782 84
normalized size 1 1. 0.55 0.75 0.68 2.34 13.96 1.5
time (sec) N/A 0.197 0.083 0.038 1.499 2.573 98.621 1.153


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 17 19 49 51 31
normalized size 1 1. 1. 1.21 1.36 3.5 3.64 2.21
time (sec) N/A 0.058 0.012 0.029 1.52 2.441 2.204 1.14


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 47 84 0 617 0 95
normalized size 1 1. 0.96 1.71 0. 12.59 0. 1.94
time (sec) N/A 0.161 0.149 0.039 0. 2.732 0. 1.171


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 98 135 0 768 0 169
normalized size 1 1. 1.32 1.82 0. 10.38 0. 2.28
time (sec) N/A 0.246 0.442 0.036 0. 8.934 0. 1.18


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 102 120 0 817 0 149
normalized size 1 1. 1.42 1.67 0. 11.35 0. 2.07
time (sec) N/A 0.238 0.519 0.038 0. 9.015 0. 1.165


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 94 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.228 0.415 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 88 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.177 0.416 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 246 321 347 583 461 427
normalized size 1 1. 1.94 2.53 2.73 4.59 3.63 3.36
time (sec) N/A 0.078 1.038 0.169 1.009 3.085 10.172 1.132


















Problem 220 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 161 161 192 285 321 501 821 317
normalized size 1 1. 1.19 1.77 1.99 3.11 5.1 1.97
time (sec) N/A 0.079 0.707 0.141 1.029 2.915 6.391 1.127


















Problem 221 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 94 94 156 175 232 354 267 252
normalized size 1 1. 1.66 1.86 2.47 3.77 2.84 2.68
time (sec) N/A 0.045 0.467 0.105 0.998 2.496 2.971 1.122


















Problem 222 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 108 108 107 153 184 273 406 165
normalized size 1 1. 0.99 1.42 1.7 2.53 3.76 1.53
time (sec) N/A 0.044 0.318 0.085 1.012 2.492 1.742 1.131


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 81 75 113 173 117 123
normalized size 1 1. 1.4 1.29 1.95 2.98 2.02 2.12
time (sec) N/A 0.024 0.337 0.055 0.988 2.633 0.722 1.132


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 52 70 92 120 128 68
normalized size 1 1. 0.95 1.27 1.67 2.18 2.33 1.24
time (sec) N/A 0.019 0.102 0.041 0.97 2.595 0.34 1.11


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 46 25 32 51 31 32
normalized size 1 1. 1.92 1.04 1.33 2.12 1.29 1.33
time (sec) N/A 0.014 0.012 0.008 0.981 1.928 0.18 1.136


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 45 43 0 312 0 100
normalized size 1 1. 0.96 0.91 0. 6.64 0. 2.13
time (sec) N/A 0.027 0.06 0.075 0. 2.12 0. 1.282


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 21 28 132 0 27
normalized size 1 1. 1. 0.66 0.88 4.12 0. 0.84
time (sec) N/A 0.016 0.04 0.128 0.981 2.159 0. 1.114


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 132 191 0 679 0 298
normalized size 1 1. 1.28 1.85 0. 6.59 0. 2.89
time (sec) N/A 0.057 0.269 0.157 0. 2.262 0. 1.25


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 85 64 115 470 0 68
normalized size 1 1. 0.87 0.65 1.17 4.8 0. 0.69
time (sec) N/A 0.042 0.29 0.181 1.017 2.215 0. 1.173


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 157 514 0 1216 0 794
normalized size 1 1. 1.01 3.29 0. 7.79 0. 5.09
time (sec) N/A 0.086 1.128 0.222 0. 2.535 0. 1.345


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 182 125 235 984 0 159
normalized size 1 1. 1.21 0.83 1.56 6.52 0. 1.05
time (sec) N/A 0.069 0.532 0.225 1.05 2.776 0. 1.129


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 205 183 0 0 0 0
normalized size 1 1. 1.1 0.98 0. 0. 0. 0.
time (sec) N/A 0.096 1.859 1.891 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 256 246 0 0 0 0
normalized size 1 1. 1.95 1.88 0. 0. 0. 0.
time (sec) N/A 0.058 1.613 1.464 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 143 163 0 0 0 0
normalized size 1 1. 1.09 1.24 0. 0. 0. 0.
time (sec) N/A 0.058 1.326 1.221 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 268 159 0 0 0 0
normalized size 1 1. 3.57 2.12 0. 0. 0. 0.
time (sec) N/A 0.03 1.142 1.204 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 92 121 0 0 0 0
normalized size 1 1. 1.23 1.61 0. 0. 0. 0.
time (sec) N/A 0.03 0.186 1.072 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 219 228 0 0 0 0
normalized size 1 1. 1.59 1.65 0. 0. 0. 0.
time (sec) N/A 0.058 3.12 1.742 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 145 178 0 0 0 0
normalized size 1 1. 1.02 1.25 0. 0. 0. 0.
time (sec) N/A 0.055 1.687 1.589 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 277 309 0 0 0 0
normalized size 1 1. 1.41 1.57 0. 0. 0. 0.
time (sec) N/A 0.086 2.421 2.812 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 153 128 0 0 0 0
normalized size 1 1. 1.27 1.07 0. 0. 0. 0.
time (sec) N/A 0.07 0.514 1.334 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 199 174 0 0 0 0
normalized size 1 1. 2.65 2.32 0. 0. 0. 0.
time (sec) N/A 0.045 0.877 1.238 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 133 108 0 0 0 0
normalized size 1 1. 1.77 1.44 0. 0. 0. 0.
time (sec) N/A 0.043 0.318 1.186 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 27 27 184 112 0 0 0 0
normalized size 1 1. 6.81 4.15 0. 0. 0. 0.
time (sec) N/A 0.023 0.864 0.935 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 27 27 88 85 0 0 0 0
normalized size 1 1. 3.26 3.15 0. 0. 0. 0.
time (sec) N/A 0.024 0.109 0.687 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 190 162 0 0 0 0
normalized size 1 1. 2.6 2.22 0. 0. 0. 0.
time (sec) N/A 0.041 1.112 1.253 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 157 118 0 0 0 0
normalized size 1 1. 2.09 1.57 0. 0. 0. 0.
time (sec) N/A 0.042 0.742 1.101 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 224 205 0 0 0 0
normalized size 1 1. 1.87 1.71 0. 0. 0. 0.
time (sec) N/A 0.064 2.102 1.348 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 31 31 80 43 116 31
normalized size 1 1. 0.97 0.97 2.5 1.34 3.62 0.97
time (sec) N/A 0.015 0.084 0.029 1.539 2.028 7.149 1.643


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 151 178 46 37 70
normalized size 1 1. 1. 4.87 5.74 1.48 1.19 2.26
time (sec) N/A 0.018 0.113 0.06 1.003 2.027 0.171 1.154


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 76 112 46 37 70
normalized size 1 1. 1. 2.45 3.61 1.48 1.19 2.26
time (sec) N/A 0.016 0.082 0.058 1.011 2.037 0.167 1.108


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 73 93 46 37 70
normalized size 1 1. 1. 2.35 3. 1.48 1.19 2.26
time (sec) N/A 0.014 0.055 0.047 0.999 2.186 0.161 1.164


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 51 26 32 32 26 32
normalized size 1 1. 1.96 1. 1.23 1.23 1. 1.23
time (sec) N/A 0.014 0.012 0.001 0.987 2.162 0.144 1.129


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 23 39 35 31 28
normalized size 1 1. 1. 0.79 1.34 1.21 1.07 0.97
time (sec) N/A 0.015 0.035 0.074 0.991 2.108 0.161 1.125


















Problem 254 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 31 31 31 23 30 49 46 41
normalized size 1 1. 1. 0.74 0.97 1.58 1.48 1.32
time (sec) N/A 0.016 0.045 0.092 0.983 1.993 0.179 1.116


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 57 39 49 46 49
normalized size 1 1. 1. 1.84 1.26 1.58 1.48 1.58
time (sec) N/A 0.015 0.047 0.108 1.037 2. 0.182 1.107


















Problem 256 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 31 31 31 36 39 49 46 59
normalized size 1 1. 1. 1.16 1.26 1.58 1.48 1.9
time (sec) N/A 0.015 0.049 0.115 1.031 2.065 0.194 1.141


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 28 69 57 0 23
normalized size 1 1. 0.97 0.85 2.09 1.73 0. 0.7
time (sec) N/A 0.016 0.03 0.055 1.573 2.006 0. 2.146


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 28 69 57 0 34
normalized size 1 1. 0.97 0.85 2.09 1.73 0. 1.03
time (sec) N/A 0.016 0.029 0.03 1.548 1.917 0. 1.155


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 30 28 69 54 0 23
normalized size 1 1. 0.97 0.9 2.23 1.74 0. 0.74
time (sec) N/A 0.016 0.022 0.033 1.542 2.019 0. 1.681


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 30 28 69 57 0 50
normalized size 1 1. 0.97 0.9 2.23 1.84 0. 1.61
time (sec) N/A 0.017 0.035 0.029 1.542 1.949 0. 1.707


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 28 69 59 0 50
normalized size 1 1. 0.97 0.85 2.09 1.79 0. 1.52
time (sec) N/A 0.016 0.033 0.03 1.629 2.081 0. 1.707


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 28 69 59 0 50
normalized size 1 1. 0.97 0.85 2.09 1.79 0. 1.52
time (sec) N/A 0.016 0.036 0.029 1.585 1.929 0. 1.795


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 303 199 275 405 308 240
normalized size 1 1. 2.03 1.34 1.85 2.72 2.07 1.61
time (sec) N/A 0.211 1.227 0.075 1.107 2.397 8.312 1.12


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 96 96 97 196 97 177
normalized size 1 1. 0.96 0.96 0.97 1.96 0.97 1.77
time (sec) N/A 0.196 0.193 0.06 1.602 2.187 4.699 1.127


















Problem 265 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 75 75 123 82 128 219 122 116
normalized size 1 1. 1.64 1.09 1.71 2.92 1.63 1.55
time (sec) N/A 0.136 0.575 0.063 1.1 2.327 5.118 1.149


















Problem 266 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 25 26 35 72 22 54
normalized size 1 1. 0.93 0.96 1.3 2.67 0.81 2.
time (sec) N/A 0.054 0.043 0.044 1.566 2.082 1.48 1.146


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 42 16 19 81 24 46
normalized size 1 1. 3.5 1.33 1.58 6.75 2. 3.83
time (sec) N/A 0.007 0.005 0.002 1.002 2.237 0.108 1.148


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 68 28 32 16
normalized size 1 1. 1. 1.09 6.18 2.55 2.91 1.45
time (sec) N/A 0.034 0.006 0.048 1.533 2.284 0.6 1.135


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 66 66 422 106 0 687 0 127
normalized size 1 1. 6.39 1.61 0. 10.41 0. 1.92
time (sec) N/A 0.133 3.755 0.079 0. 2.4 0. 1.142


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 40 57 271 197 508 58
normalized size 1 1. 0.78 1.12 5.31 3.86 9.96 1.14
time (sec) N/A 0.075 0.166 0.085 1.565 2.442 4.611 1.151


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 2677 967 0 2061 0 498
normalized size 1 1. 17.16 6.2 0. 13.21 0. 3.19
time (sec) N/A 0.337 6.369 0.113 0. 2.962 0. 1.17


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 86 130 652 509 1727 123
normalized size 1 1. 0.85 1.29 6.46 5.04 17.1 1.22
time (sec) N/A 0.116 0.332 0.113 1.646 2.561 33.285 1.14


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 54 106 190 119 68 84
normalized size 1 1. 1.8 3.53 6.33 3.97 2.27 2.8
time (sec) N/A 0.05 0.112 0.064 0.996 2.077 8.265 1.126


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 64 71 38 188 44 27
normalized size 1 1. 2.13 2.37 1.27 6.27 1.47 0.9
time (sec) N/A 0.102 0.136 0.048 1.486 2.074 4.465 1.157


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 31 45 70 68 44 65
normalized size 1 1. 1.72 2.5 3.89 3.78 2.44 3.61
time (sec) N/A 0.044 0.026 0.051 0.982 2.03 5.042 1.188


















Problem 276 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 16 16 14 15 19 89 10 19
normalized size 1 1. 0.88 0.94 1.19 5.56 0.62 1.19
time (sec) N/A 0.07 0.012 0.017 1.458 2.05 1.235 1.131


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 9 38 13 14 26 20 42
normalized size 1 0.69 2.92 1. 1.08 2. 1.54 3.23
time (sec) N/A 0.006 0.005 0.001 0.967 2.056 0.113 1.178


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 16 6 42 23 17 30
normalized size 1 1. 3.2 1.2 8.4 4.6 3.4 6.
time (sec) N/A 0.024 0.014 0.051 0.979 2.176 0.166 1.123


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 27 15 38 89 0 19
normalized size 1 1. 1.93 1.07 2.71 6.36 0. 1.36
time (sec) N/A 0.041 0.026 0.059 1.494 2.067 0. 1.098


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 34 17 86 68 306 61
normalized size 1 1. 2.12 1.06 5.38 4.25 19.12 3.81
time (sec) N/A 0.046 0.021 0.085 1.5 2.078 1.345 1.128


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 62 23 86 188 0 27
normalized size 1 1. 2.38 0.88 3.31 7.23 0. 1.04
time (sec) N/A 0.069 0.075 0.072 1.513 2.149 0. 1.171


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 39 23 124 116 1064 86
normalized size 1 1. 1.77 1.05 5.64 5.27 48.36 3.91
time (sec) N/A 0.048 0.047 0.109 1.512 2.096 5.487 1.128


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 143 204 254 703 0 228
normalized size 1 1. 0.94 1.34 1.67 4.62 0. 1.5
time (sec) N/A 0.22 0.736 0.059 1. 2.178 0. 1.116


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 95 93 108 225 0 290
normalized size 1 1. 0.94 0.92 1.07 2.23 0. 2.87
time (sec) N/A 0.215 0.257 0.049 1.504 1.927 0. 1.111


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 79 87 117 313 122 116
normalized size 1 1. 1.03 1.13 1.52 4.06 1.58 1.51
time (sec) N/A 0.136 0.273 0.051 0.988 2.102 46.882 1.183


















Problem 286 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 29 29 24 29 39 72 31 70
normalized size 1 1. 0.83 1. 1.34 2.48 1.07 2.41
time (sec) N/A 0.056 0.13 0.014 1.484 1.95 7.407 1.142


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 25 16 20 97 24 28
normalized size 1 1. 2.08 1.33 1.67 8.08 2. 2.33
time (sec) N/A 0.007 0.009 0.003 0.988 2.017 0.124 1.147


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 61 30 0 18
normalized size 1 1. 1. 1.08 5.08 2.5 0. 1.5
time (sec) N/A 0.035 0.016 0.038 1.462 2.062 0. 1.131


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 71 86 0 689 0 144
normalized size 1 1. 1.06 1.28 0. 10.28 0. 2.15
time (sec) N/A 0.117 0.255 0.051 0. 2.391 0. 1.151


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 77 56 239 181 0 61
normalized size 1 1. 1.54 1.12 4.78 3.62 0. 1.22
time (sec) N/A 0.079 0.111 0.048 1.517 2.311 0. 1.116


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 150 534 0 1945 0 381
normalized size 1 1. 0.94 3.36 0. 12.23 0. 2.4
time (sec) N/A 0.338 0.467 0.062 0. 2.937 0. 1.141


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 138 132 671 409 0 126
normalized size 1 1. 1.38 1.32 6.71 4.09 0. 1.26
time (sec) N/A 0.123 0.339 0.056 1.698 2.538 0. 1.149


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 32 105 169 126 0 30
normalized size 1 1. 1.14 3.75 6.04 4.5 0. 1.07
time (sec) N/A 0.051 0.073 0.048 1.013 2.034 0. 1.14


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 68 76 109 0 27
normalized size 1 1. 1. 2.27 2.53 3.63 0. 0.9
time (sec) N/A 0.101 0.045 0.039 1.479 2.094 0. 1.136


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 49 62 77 44 24
normalized size 1 1. 1. 2.45 3.1 3.85 2.2 1.2
time (sec) N/A 0.048 0.039 0.037 0.958 2.058 82.194 1.142


















Problem 296 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 16 16 12 15 22 47 17 16
normalized size 1 1. 0.75 0.94 1.38 2.94 1.06 1.
time (sec) N/A 0.069 0.024 0.012 1.494 1.953 8.483 1.153


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 20 13 16 32 20 24
normalized size 1 1. 2.22 1.44 1.78 3.56 2.22 2.67
time (sec) N/A 0.005 0.004 0.003 1.011 2.073 0.107 1.175


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 9 8 19 32 0 9
normalized size 1 1. 1.29 1.14 2.71 4.57 0. 1.29
time (sec) N/A 0.027 0.012 0.047 1.456 2.134 0. 1.134


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 12 11 31 55 0 14
normalized size 1 1. 0.86 0.79 2.21 3.93 0. 1.
time (sec) N/A 0.041 0.013 0.044 1.488 2.014 0. 1.153


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 18 15 38 74 0 19
normalized size 1 1. 1.29 1.07 2.71 5.29 0. 1.36
time (sec) N/A 0.047 0.014 0.073 1.512 1.939 0. 1.138


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 30 17 47 123 0 22
normalized size 1 1. 1.15 0.65 1.81 4.73 0. 0.85
time (sec) N/A 0.071 0.014 0.073 1.48 1.931 0. 1.215


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 32 25 53 126 0 30
normalized size 1 1. 1.33 1.04 2.21 5.25 0. 1.25
time (sec) N/A 0.05 0.013 0.08 1.565 2.192 0. 1.134


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 38 39 49 157 44 53
normalized size 1 1. 0.86 0.89 1.11 3.57 1. 1.2
time (sec) N/A 0.034 0.03 0.022 1.006 2.121 18.101 1.165


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 61 32 50 197 42 134
normalized size 1 1. 1.79 0.94 1.47 5.79 1.24 3.94
time (sec) N/A 0.046 0.02 0.019 0.987 2.122 5.871 1.16


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 18 15 22 63 15 31
normalized size 1 1. 0.82 0.68 1. 2.86 0.68 1.41
time (sec) N/A 0.024 0.016 0.016 0.994 2.116 1.979 1.145


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 19 12 15 88 19 12
normalized size 1 1. 2.38 1.5 1.88 11. 2.38 1.5
time (sec) N/A 0.005 0.004 0.003 0.985 2.15 0.104 1.149


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2 2 2 5 23 14 0 23
normalized size 1 1. 1. 2.5 11.5 7. 0. 11.5
time (sec) N/A 0.019 0.004 0.03 0.964 1.976 0. 1.159


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 50 0 8
normalized size 1 1. 1. 0.88 1. 6.25 0. 1.
time (sec) N/A 0.014 0.003 0.036 1.023 1.978 0. 1.134


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 14 139 45 0 80
normalized size 1 1. 1. 0.82 8.18 2.65 0. 4.71
time (sec) N/A 0.038 0.02 0.046 0.999 1.938 0. 1.18


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 37 14 18 85 0 18
normalized size 1 1. 2.18 0.82 1.06 5. 0. 1.06
time (sec) N/A 0.018 0.017 0.043 0.988 2.132 0. 1.15


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 20 252 66 0 136
normalized size 1 1. 1. 0.8 10.08 2.64 0. 5.44
time (sec) N/A 0.04 0.016 0.05 1.048 1.994 0. 1.131


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 57 20 26 135 0 26
normalized size 1 1. 2.28 0.8 1.04 5.4 0. 1.04
time (sec) N/A 0.022 0.018 0.053 0.984 2.07 0. 1.157


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 366 96 0 193
normalized size 1 1. 1. 0.79 11.09 2.91 0. 5.85
time (sec) N/A 0.043 0.017 0.058 1.057 2.218 0. 1.191


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 37 40 780 131 0 0
normalized size 1 1. 0.51 0.55 10.68 1.79 0. 0.
time (sec) N/A 0.148 0.08 0.157 1.972 2.334 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 29 34 576 103 0 0
normalized size 1 1. 0.58 0.68 11.52 2.06 0. 0.
time (sec) N/A 0.112 0.078 0.118 1.876 2.264 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 21 26 424 66 0 0
normalized size 1 1. 0.68 0.84 13.68 2.13 0. 0.
time (sec) N/A 0.081 0.04 0.088 1.87 2.175 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 20 254 53 0 0
normalized size 1 1. 1. 1.54 19.54 4.08 0. 0.
time (sec) N/A 0.049 0.028 0.091 1.801 2.012 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 44 0 0 393 0 0
normalized size 1 1. 0.73 0. 0. 6.55 0. 0.
time (sec) N/A 0.091 0.267 0.121 0. 2.463 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 60 450 0 475 0 0
normalized size 1 1. 0.75 5.62 0. 5.94 0. 0.
time (sec) N/A 0.116 0.155 0.209 0. 2.41 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 69 382 0 512 0 0
normalized size 1 1. 0.7 3.86 0. 5.17 0. 0.
time (sec) N/A 0.151 0.532 0.191 0. 2.672 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 74 487 0 528 0 0
normalized size 1 1. 0.63 4.13 0. 4.47 0. 0.
time (sec) N/A 0.18 0.268 0.227 0. 2.604 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 38 40 35 116 44 47
normalized size 1 1. 0.86 0.91 0.8 2.64 1. 1.07
time (sec) N/A 0.031 0.032 0.023 0.978 2.102 32.136 1.143


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 38 30 50 161 42 53
normalized size 1 1. 1.12 0.88 1.47 4.74 1.24 1.56
time (sec) N/A 0.042 0.011 0.022 0.989 2.276 8.172 1.163


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 16 13 16 68 14 24
normalized size 1 1. 0.73 0.59 0.73 3.09 0.64 1.09
time (sec) N/A 0.021 0.018 0.016 0.974 2.067 2.594 1.16


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 37 12 15 72 19 39
normalized size 1 1. 4.62 1.5 1.88 9. 2.38 4.88
time (sec) N/A 0.005 0.004 0.002 0.995 2.118 0.111 1.148


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 7 28 15 0 8
normalized size 1 1. 1. 1.75 7. 3.75 0. 2.
time (sec) N/A 0.018 0.003 0.03 0.997 1.953 0. 1.105


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 51 0 8
normalized size 1 1. 1. 0.88 1. 6.38 0. 1.
time (sec) N/A 0.014 0.003 0.03 0.98 2.034 0. 1.147


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 14 99 82 0 19
normalized size 1 1. 1. 0.82 5.82 4.82 0. 1.12
time (sec) N/A 0.038 0.009 0.036 0.988 2.095 0. 1.112


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 37 14 19 112 0 19
normalized size 1 1. 2.18 0.82 1.12 6.59 0. 1.12
time (sec) N/A 0.017 0.022 0.037 0.998 2.301 0. 1.17


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 20 163 139 0 27
normalized size 1 1. 1. 0.8 6.52 5.56 0. 1.08
time (sec) N/A 0.041 0.012 0.043 1.016 2.457 0. 1.156


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 57 20 27 173 0 27
normalized size 1 1. 2.28 0.8 1.08 6.92 0. 1.08
time (sec) N/A 0.021 0.02 0.039 0.99 2.455 0. 1.147


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 228 207 0 35
normalized size 1 1. 1. 0.79 6.91 6.27 0. 1.06
time (sec) N/A 0.042 0.013 0.044 1.049 2.302 0. 1.16


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 37 603 111 134 0 0
normalized size 1 1. 0.51 8.26 1.52 1.84 0. 0.
time (sec) N/A 0.113 0.204 0.235 1.574 2.124 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 29 321 111 112 0 0
normalized size 1 1. 0.58 6.42 2.22 2.24 0. 0.
time (sec) N/A 0.086 0.076 0.146 1.585 2.245 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 23 584 77 76 0 0
normalized size 1 1. 0.74 18.84 2.48 2.45 0. 0.
time (sec) N/A 0.064 0.039 0.104 1.577 2.179 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 174 77 63 0 0
normalized size 1 1. 1. 13.38 5.92 4.85 0. 0.
time (sec) N/A 0.041 0.026 0.138 1.541 1.985 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 43 105 0 228 0 0
normalized size 1 1. 0.83 2.02 0. 4.38 0. 0.
time (sec) N/A 0.078 0.246 0.108 0. 2.325 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 56 265 0 371 0 0
normalized size 1 1. 0.78 3.68 0. 5.15 0. 0.
time (sec) N/A 0.094 0.172 0.149 0. 2.479 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 73 454 0 452 0 0
normalized size 1 1. 0.8 4.99 0. 4.97 0. 0.
time (sec) N/A 0.121 0.647 0.15 0. 2.475 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 74 494 0 529 0 0
normalized size 1 1. 0.67 4.49 0. 4.81 0. 0.
time (sec) N/A 0.14 0.369 0.167 0. 2.571 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 129 66 92 255 90 1856
normalized size 1 1. 2.35 1.2 1.67 4.64 1.64 33.75
time (sec) N/A 0.11 0.2 0.022 1.492 2.207 8.14 8.736


















Problem 342 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 38 38 40 39 57 151 46 234
normalized size 1 1. 1.05 1.03 1.5 3.97 1.21 6.16
time (sec) N/A 0.05 0.041 0.02 0.985 2.23 6.665 1.653


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 60 25 38 154 31 239
normalized size 1 1. 2.4 1. 1.52 6.16 1.24 9.56
time (sec) N/A 0.063 0.096 0.016 1.478 2.114 1.841 1.245


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 11 11 32 8 15
normalized size 1 1. 1. 1.1 1.1 3.2 0.8 1.5
time (sec) N/A 0.005 0.003 0.002 0.983 2.267 0.065 1.128


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 35 24 34 132 0 38
normalized size 1 1. 1.46 1. 1.42 5.5 0. 1.58
time (sec) N/A 0.058 0.015 0.037 0.979 2.195 0. 1.124


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 57 32 61 109 0 42
normalized size 1 1. 1.73 0.97 1.85 3.3 0. 1.27
time (sec) N/A 0.127 0.016 0.041 0.996 2.137 0. 1.154


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 83 56 99 424 0 128
normalized size 1 1. 1.38 0.93 1.65 7.07 0. 2.13
time (sec) N/A 0.072 0.018 0.052 1.002 2.248 0. 1.139


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 129 64 131 255 0 88
normalized size 1 1. 1.98 0.98 2.02 3.92 0. 1.35
time (sec) N/A 0.211 0.021 0.054 1.002 2.183 0. 1.148


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 68 150 0 358 0 177
normalized size 1 1. 0.92 2.03 0. 4.84 0. 2.39
time (sec) N/A 0.063 0.186 0.059 0. 2.381 0. 1.333


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 82 108 0 487 0 176
normalized size 1 1. 1.09 1.44 0. 6.49 0. 2.35
time (sec) N/A 0.06 0.297 0.087 0. 2.292 0. 1.251


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 132 177 0 659 0 269
normalized size 1 1. 1.14 1.53 0. 5.68 0. 2.32
time (sec) N/A 0.11 0.363 0.104 0. 2.494 0. 1.32


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 67 150 0 358 0 177
normalized size 1 1. 0.92 2.05 0. 4.9 0. 2.42
time (sec) N/A 0.053 0.138 0.055 0. 2.318 0. 1.331


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 82 109 0 489 0 178
normalized size 1 1. 1.08 1.43 0. 6.43 0. 2.34
time (sec) N/A 0.053 0.226 0.084 0. 2.349 0. 1.33


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 118 204 0 659 0 331
normalized size 1 1. 1.02 1.76 0. 5.68 0. 2.85
time (sec) N/A 0.108 0.313 0.099 0. 2.434 0. 1.396


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 238 514 478 509 882 387
normalized size 1 1. 0.97 2.09 1.94 2.07 3.59 1.57
time (sec) N/A 0.169 1.484 0.124 1.015 2.325 4.224 1.244


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 163 250 279 342 415 269
normalized size 1 1. 0.92 1.4 1.57 1.92 2.33 1.51
time (sec) N/A 0.102 0.661 0.085 1.001 2.255 1.881 1.158


















Problem 357 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 116 116 111 124 153 196 192 124
normalized size 1 1. 0.96 1.07 1.32 1.69 1.66 1.07
time (sec) N/A 0.058 0.222 0.061 0.986 2.196 0.618 1.14


















Problem 358 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 37 37 36 36 47 80 42 47
normalized size 1 1. 0.97 0.97 1.27 2.16 1.14 1.27
time (sec) N/A 0.015 0.037 0.005 0.984 2.142 0.164 1.132


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 50 54 173 0 58
normalized size 1 1. 1. 1.02 1.1 3.53 0. 1.18
time (sec) N/A 0.036 0.1 0.074 1. 2.156 0. 1.143


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 98 233 0 424 0 216
normalized size 1 1. 0.76 1.81 0. 3.29 0. 1.67
time (sec) N/A 0.085 0.248 0.13 0. 2.303 0. 1.158


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 420 496 0 1080 0 467
normalized size 1 1. 2.2 2.6 0. 5.65 0. 2.45
time (sec) N/A 0.133 2.777 0.194 0. 2.985 0. 1.142


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 533 823 0 1643 0 809
normalized size 1 1. 2.06 3.18 0. 6.34 0. 3.12
time (sec) N/A 0.189 2.114 0.318 0. 5.611 0. 1.171


















Problem 363 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 157 157 135 177 258 308 291 204
normalized size 1 1. 0.86 1.13 1.64 1.96 1.85 1.3
time (sec) N/A 0.143 0.422 0.075 1.125 2.216 0.884 1.145


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 92 101 134 162 170 105
normalized size 1 1. 1.14 1.25 1.65 2. 2.1 1.3
time (sec) N/A 0.05 0.146 0.054 1.018 2.08 0.377 1.171


















Problem 365 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 29 29 53 30 39 63 39 39
normalized size 1 1. 1.83 1.03 1.34 2.17 1.34 1.34
time (sec) N/A 0.016 0.016 0.001 0.985 2.145 0.159 1.122


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 57 23 39 157 63 31
normalized size 1 1. 2.28 0.92 1.56 6.28 2.52 1.24
time (sec) N/A 0.022 0.053 0.087 0.997 2.175 1.204 1.163


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 115 91 122 398 0 116
normalized size 1 1. 1.53 1.21 1.63 5.31 0. 1.55
time (sec) N/A 0.049 0.538 0.137 1.03 2.215 0. 1.145


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 186 211 257 986 0 231
normalized size 1 1. 1.39 1.57 1.92 7.36 0. 1.72
time (sec) N/A 0.112 3.08 0.189 1.064 2.353 0. 1.177


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 492 378 414 1782 0 410
normalized size 1 1. 2.38 1.83 2. 8.61 0. 1.98
time (sec) N/A 0.248 1.627 0.222 1.146 2.7 0. 1.142


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 50 21 38 89 36 28
normalized size 1 1. 2.17 0.91 1.65 3.87 1.57 1.22
time (sec) N/A 0.021 0.03 0.065 0.987 2.03 0.719 1.132


















Problem 371 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 75 75 93 60 108 285 168 92
normalized size 1 1. 1.24 0.8 1.44 3.8 2.24 1.23
time (sec) N/A 0.048 0.184 0.086 1.017 2.122 2.487 1.143


















Problem 372 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 123 123 135 100 197 405 423 144
normalized size 1 1. 1.1 0.81 1.6 3.29 3.44 1.17
time (sec) N/A 0.107 0.582 0.099 1.071 2.133 9.654 1.159


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 247 140 281 645 0 188
normalized size 1 1. 1.47 0.83 1.67 3.84 0. 1.12
time (sec) N/A 0.186 0.974 0.112 1.121 2.143 0. 1.149


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 136 178 254 306 291 204
normalized size 1 1. 0.87 1.13 1.62 1.95 1.85 1.3
time (sec) N/A 0.134 0.447 0.075 0.997 2.263 0.907 1.138


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 92 100 132 161 170 105
normalized size 1 1. 1.14 1.23 1.63 1.99 2.1 1.3
time (sec) N/A 0.047 0.155 0.054 0.987 2.291 0.382 1.139


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 53 30 39 63 39 39
normalized size 1 1. 1.83 1.03 1.34 2.17 1.34 1.34
time (sec) N/A 0.014 0.015 0.001 0.979 2.007 0.157 1.134


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 50 42 73 159 95 57
normalized size 1 1. 2. 1.68 2.92 6.36 3.8 2.28
time (sec) N/A 0.021 0.152 0.1 0.987 2.13 1.465 1.147


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 229 110 185 398 0 155
normalized size 1 1. 3.05 1.47 2.47 5.31 0. 2.07
time (sec) N/A 0.053 0.414 0.151 1.017 2.342 0. 1.156


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 350 272 358 987 0 323
normalized size 1 1. 2.61 2.03 2.67 7.37 0. 2.41
time (sec) N/A 0.113 0.611 0.196 1.063 2.469 0. 1.298


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 494 416 516 1783 0 490
normalized size 1 1. 2.39 2.01 2.49 8.61 0. 2.37
time (sec) N/A 0.24 1.089 0.229 1.121 2.642 0. 1.208


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 135 177 258 293 291 204
normalized size 1 1. 0.86 1.13 1.64 1.87 1.85 1.3
time (sec) N/A 0.14 0.464 0.069 0.997 2.308 0.935 1.109


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 92 101 134 162 170 107
normalized size 1 1. 1.14 1.25 1.65 2. 2.1 1.32
time (sec) N/A 0.047 0.151 0.057 0.993 2.067 0.37 1.12


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 53 30 39 63 39 39
normalized size 1 1. 1.83 1.03 1.34 2.17 1.34 1.34
time (sec) N/A 0.016 0.018 0.001 0.969 2. 0.155 1.122


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 93 104 89 136 107 96
normalized size 1 1. 2.82 3.15 2.7 4.12 3.24 2.91
time (sec) N/A 0.022 0.07 0.093 0.989 2.112 61.581 1.152


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 162 166 250 377 0 250
normalized size 1 1. 1.95 2. 3.01 4.54 0. 3.01
time (sec) N/A 0.05 0.507 0.162 1.046 2.361 0. 1.202


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 255 639 666 940 0 653
normalized size 1 1. 1.8 4.5 4.69 6.62 0. 4.6
time (sec) N/A 0.112 2.417 0.178 1.129 2.452 0. 1.192


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 632 1069 1300 1632 0 1368
normalized size 1 1. 2.94 4.97 6.05 7.59 0. 6.36
time (sec) N/A 0.244 2.917 0.223 1.253 2.91 0. 1.19


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 136 176 254 292 291 204
normalized size 1 1. 0.87 1.12 1.62 1.86 1.85 1.3
time (sec) N/A 0.136 0.443 0.07 0.991 2.212 0.975 1.11


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 92 100 132 161 170 107
normalized size 1 1. 1.14 1.23 1.63 1.99 2.1 1.32
time (sec) N/A 0.047 0.152 0.055 0.98 2.149 0.368 1.122


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 53 30 39 63 39 39
normalized size 1 1. 1.83 1.03 1.34 2.17 1.34 1.34
time (sec) N/A 0.014 0.012 0. 0.991 2.149 0.153 1.125


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 96 61 84 136 109 101
normalized size 1 1. 2.91 1.85 2.55 4.12 3.3 3.06
time (sec) N/A 0.022 0.102 0.1 0.996 2.182 61.238 1.195


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 166 178 246 377 0 258
normalized size 1 1. 2. 2.14 2.96 4.54 0. 3.11
time (sec) N/A 0.053 0.557 0.148 1.006 2.278 0. 1.165


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 261 687 663 942 0 659
normalized size 1 1. 1.84 4.84 4.67 6.63 0. 4.64
time (sec) N/A 0.108 2.622 0.17 1.1 2.458 0. 1.208


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 636 1149 1295 1635 0 1373
normalized size 1 1. 2.96 5.34 6.02 7.6 0. 6.39
time (sec) N/A 0.235 1.854 0.224 1.258 2.825 0. 1.182


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 260 237 335 446 576 707 386
normalized size 1 1. 0.91 1.29 1.72 2.22 2.72 1.48
time (sec) N/A 0.4 1.089 0.072 1.024 2.259 2.28 1.123


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 144 177 255 338 294 225
normalized size 1 1. 0.85 1.04 1.5 1.99 1.73 1.32
time (sec) N/A 0.186 0.438 0.06 0.999 2.222 0.903 1.124


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 77 99 135 173 162 109
normalized size 1 1. 0.85 1.09 1.48 1.9 1.78 1.2
time (sec) N/A 0.046 0.171 0.051 0.981 2.237 0.388 1.129


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 49 28 36 61 34 36
normalized size 1 1. 1.81 1.04 1.33 2.26 1.26 1.33
time (sec) N/A 0.016 0.014 0.002 0.978 2.02 0.155 1.119


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 57 61 0 953 0 123
normalized size 1 1. 0.93 1. 0. 15.62 0. 2.02
time (sec) N/A 0.084 0.117 0.079 0. 2.339 0. 1.117


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 116 424 0 1796 0 300
normalized size 1 1. 0.96 3.5 0. 14.84 0. 2.48
time (sec) N/A 0.108 0.341 0.142 0. 2.988 0. 1.142


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 200 3933 0 4077 0 1204
normalized size 1 1. 1.02 19.96 0. 20.7 0. 6.11
time (sec) N/A 0.198 0.909 0.191 0. 3.457 0. 1.179


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 606 16909 0 8541 0 3606
normalized size 1 1. 2.08 57.91 0. 29.25 0. 12.35
time (sec) N/A 0.376 2.085 0.291 0. 5.098 0. 1.491


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 185 185 399 464 0 0 0 0
normalized size 1 1. 2.16 2.51 0. 0. 0. 0.
time (sec) N/A 0.268 6.053 2.494 0. 0. 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 349 449 0 0 0 0
normalized size 1 1. 2.51 3.23 0. 0. 0. 0.
time (sec) N/A 0.139 3.571 2.675 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 45 45 326 316 0 0 0 0
normalized size 1 1. 7.24 7.02 0. 0. 0. 0.
time (sec) N/A 0.031 2.303 2.867 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 45 45 128 158 0 0 0 0
normalized size 1 1. 2.84 3.51 0. 0. 0. 0.
time (sec) N/A 0.037 0.262 2.134 0. 0. 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 528 425 0 0 0 0
normalized size 1 1. 5.62 4.52 0. 0. 0. 0.
time (sec) N/A 0.054 6.141 3.376 0. 0. 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 430 524 0 0 0 0
normalized size 1 1. 2.3 2.8 0. 0. 0. 0.
time (sec) N/A 0.2 3.259 6.476 0. 0. 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 436 589 0 0 0 0
normalized size 1 1. 1.87 2.53 0. 0. 0. 0.
time (sec) N/A 0.26 3.929 5.834 0. 0. 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 347 347 3767 2303 0 0 0 0
normalized size 1 1. 10.86 6.64 0. 0. 0. 0.
time (sec) N/A 0.532 6.595 10.443 0. 0. 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 283 283 2190 1516 0 0 0 0
normalized size 1 1. 7.74 5.36 0. 0. 0. 0.
time (sec) N/A 0.282 6.286 7.295 0. 0. 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 108 108 1408 720 0 0 0 0
normalized size 1 1. 13.04 6.67 0. 0. 0. 0.
time (sec) N/A 0.071 6.274 3.265 0. 0. 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 108 108 285 303 0 0 0 0
normalized size 1 1. 2.64 2.81 0. 0. 0. 0.
time (sec) N/A 0.07 0.648 2.115 0. 0. 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 1540 2388 0 0 0 0
normalized size 1 1. 8.28 12.84 0. 0. 0. 0.
time (sec) N/A 0.104 6.374 8.075 0. 0. 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 382 382 2408 2967 0 0 0 0
normalized size 1 1. 6.3 7.77 0. 0. 0. 0.
time (sec) N/A 0.363 6.386 29.057 0. 0. 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 490 490 4116 3876 0 0 0 0
normalized size 1 1. 8.4 7.91 0. 0. 0. 0.
time (sec) N/A 0.619 6.621 94. 0. 0. 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 130 74 0 293 0 0
normalized size 1 1. 0.94 0.53 0. 2.11 0. 0.
time (sec) N/A 0.065 0.627 1.355 0. 1.826 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 104 60 0 228 0 0
normalized size 1 1. 1.12 0.65 0. 2.45 0. 0.
time (sec) N/A 0.04 0.34 1.44 0. 1.754 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 75 50 0 167 0 0
normalized size 1 1. 1.7 1.14 0. 3.8 0. 0.
time (sec) N/A 0.018 0.038 0.89 0. 1.75 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 101 77 0 428 0 0
normalized size 1 1. 2.1 1.6 0. 8.92 0. 0.
time (sec) N/A 0.065 0.105 0.89 0. 1.774 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 154 117 0 782 0 383
normalized size 1 1. 1.6 1.22 0. 8.15 0. 3.99
time (sec) N/A 0.053 0.299 1.286 0. 1.954 0. 1.958


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 180 190 0 998 0 563
normalized size 1 1. 1.27 1.34 0. 7.03 0. 3.96
time (sec) N/A 0.077 0.403 1.46 0. 1.973 0. 1.972


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 151 86 0 358 0 0
normalized size 1 1. 0.82 0.46 0. 1.94 0. 0.
time (sec) N/A 0.094 1.922 1.25 0. 1.765 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 127 74 0 293 0 0
normalized size 1 1. 0.91 0.53 0. 2.11 0. 0.
time (sec) N/A 0.074 0.523 1.248 0. 1.666 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 103 60 0 225 0 0
normalized size 1 1. 1.11 0.65 0. 2.42 0. 0.
time (sec) N/A 0.038 0.237 1.193 0. 1.71 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 75 50 0 163 0 0
normalized size 1 1. 1.7 1.14 0. 3.7 0. 0.
time (sec) N/A 0.017 0.042 1.077 0. 1.764 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 99 77 0 269 0 0
normalized size 1 1. 2.02 1.57 0. 5.49 0. 0.
time (sec) N/A 0.061 0.089 1.171 0. 1.854 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 152 118 0 614 0 336
normalized size 1 1. 1.58 1.23 0. 6.4 0. 3.5
time (sec) N/A 0.052 0.295 1.116 0. 1.786 0. 1.521


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 178 190 0 830 0 514
normalized size 1 1. 1.25 1.34 0. 5.85 0. 3.62
time (sec) N/A 0.075 0.394 1.611 0. 1.878 0. 1.577


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 258 258 11888 306 0 645 0 0
normalized size 1 1. 46.08 1.19 0. 2.5 0. 0.
time (sec) N/A 0.179 32.745 1.937 0. 2.007 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 190 190 11771 200 0 463 0 0
normalized size 1 1. 61.95 1.05 0. 2.44 0. 0.
time (sec) N/A 0.122 33.091 1.45 0. 1.957 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 126 126 11679 126 0 313 0 0
normalized size 1 1. 92.69 1. 0. 2.48 0. 0.
time (sec) N/A 0.075 21.959 1.641 0. 1.706 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 55 55 11586 113 0 201 0 0
normalized size 1 1. 210.65 2.05 0. 3.65 0. 0.
time (sec) N/A 0.033 21.979 1.319 0. 1.641 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F(-2) F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 63264 172 0 0 0 0
normalized size 1 1. 718.91 1.95 0. 0. 0. 0.
time (sec) N/A 0.12 33.865 1.432 0. 0. 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) F(-2) F F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 160 160 0 350 0 0 0 0
normalized size 1 1. 0. 2.19 0. 0. 0. 0.
time (sec) N/A 0.133 180.001 1.644 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F(-2) F(-2) F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 226 226 0 350 0 0 0 0
normalized size 1 1. 0. 1.55 0. 0. 0. 0.
time (sec) N/A 0.186 180.002 1.552 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 11602 204 0 463 0 0
normalized size 1 1. 59.19 1.04 0. 2.36 0. 0.
time (sec) N/A 0.134 34.231 1.753 0. 1.895 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 11512 130 0 313 0 0
normalized size 1 1. 88.55 1. 0. 2.41 0. 0.
time (sec) N/A 0.081 21.255 1.591 0. 1.883 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 57 57 11415 117 0 201 0 0
normalized size 1 1. 200.26 2.05 0. 3.53 0. 0.
time (sec) N/A 0.038 21.525 1.706 0. 1.861 0. 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F(-2) F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 61904 175 0 0 0 0
normalized size 1 1. 680.26 1.92 0. 0. 0. 0.
time (sec) N/A 0.098 33.882 1.314 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) F(-2) F F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 164 164 0 363 0 0 0 0
normalized size 1 1. 0. 2.21 0. 0. 0. 0.
time (sec) N/A 0.126 180.001 1.934 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F(-2) F(-2) F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 232 232 0 363 0 0 0 0
normalized size 1 1. 0. 1.56 0. 0. 0. 0.
time (sec) N/A 0.17 180.014 2.082 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 80 438 0 1291 0 216
normalized size 1 1. 0.79 4.34 0. 12.78 0. 2.14
time (sec) N/A 0.096 0.224 0.048 0. 2.148 0. 1.154


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 30 22 25 55 39 22 34
normalized size 1 1.36 1. 1.14 2.5 1.77 1. 1.55
time (sec) N/A 0.031 0.047 0.043 1.482 1.868 0.312 1.165


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 79 414 0 1277 0 213
normalized size 1 1. 0.81 4.27 0. 13.16 0. 2.2
time (sec) N/A 0.127 0.193 0.064 0. 2.568 0. 1.174


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 50 53 0 799 0 99
normalized size 1 1. 0.98 1.04 0. 15.67 0. 1.94
time (sec) N/A 0.076 0.045 0.059 0. 2.14 0. 1.165


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 120 430 0 1539 0 217
normalized size 1 1. 0.85 3.03 0. 10.84 0. 1.53
time (sec) N/A 0.515 0.289 0.059 0. 21.925 0. 1.236


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 2490 21265 0 0 0 0
normalized size 1 1. 6.71 57.32 0. 0. 0. 0.
time (sec) N/A 0.447 6.452 2.027 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 1580 12462 0 0 0 0
normalized size 1 1. 13.39 105.61 0. 0. 0. 0.
time (sec) N/A 0.144 6.254 0.666 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 339 722 0 0 0 0
normalized size 1 1. 2.87 6.12 0. 0. 0. 0.
time (sec) N/A 0.166 0.919 0.596 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 1732 12572 0 0 0 0
normalized size 1 1. 7.22 52.38 0. 0. 0. 0.
time (sec) N/A 0.216 6.398 0.589 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 492 492 2708 63949 0 0 0 0
normalized size 1 1. 5.5 129.98 0. 0. 0. 0.
time (sec) N/A 0.519 6.514 1.75 0. 0. 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 371 371 0 21015 0 0 0 0
normalized size 1 1. 0. 56.64 0. 0. 0. 0.
time (sec) N/A 0.39 151.125 0.709 0. 0. 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 118 118 0 12460 0 0 0 0
normalized size 1 1. 0. 105.59 0. 0. 0. 0.
time (sec) N/A 0.147 21.288 0.444 0. 0. 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 506 714 0 0 0 0
normalized size 1 1. 4.29 6.05 0. 0. 0. 0.
time (sec) N/A 0.152 2.944 0.415 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 240 240 0 12562 0 0 0 0
normalized size 1 1. 0. 52.34 0. 0. 0. 0.
time (sec) N/A 0.211 24.569 0.44 0. 0. 0. 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 492 492 0 63939 0 0 0 0
normalized size 1 1. 0. 129.96 0. 0. 0. 0.
time (sec) N/A 0.495 28.201 1.151 0. 0. 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 80 446 0 1277 0 213
normalized size 1 1. 0.82 4.55 0. 13.03 0. 2.17
time (sec) N/A 0.103 0.224 0.051 0. 2.18 0. 1.162


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 50 53 0 799 0 99
normalized size 1 1. 0.98 1.04 0. 15.67 0. 1.94
time (sec) N/A 0.072 0.046 0.042 0. 2.167 0. 1.174


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 104 184 0 1571 0 192
normalized size 1 1. 0.87 1.53 0. 13.09 0. 1.6
time (sec) N/A 0.533 0.286 0.045 0. 23.526 0. 1.179


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 51 10 19 74 0 30
normalized size 1 1. 2.43 0.48 0.9 3.52 0. 1.43
time (sec) N/A 0.048 0.025 0.039 1.483 2.193 0. 1.143


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 2490 20627 0 0 0 0
normalized size 1 1. 6.71 55.6 0. 0. 0. 0.
time (sec) N/A 0.432 6.435 1.618 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 1580 12367 0 0 0 0
normalized size 1 1. 13.39 104.81 0. 0. 0. 0.
time (sec) N/A 0.144 6.256 0.55 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 339 715 0 0 0 0
normalized size 1 1. 2.87 6.06 0. 0. 0. 0.
time (sec) N/A 0.166 0.908 0.587 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 1732 12477 0 0 0 0
normalized size 1 1. 7.22 51.99 0. 0. 0. 0.
time (sec) N/A 0.212 6.415 0.556 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 492 492 2708 64199 0 0 0 0
normalized size 1 1. 5.5 130.49 0. 0. 0. 0.
time (sec) N/A 0.497 6.513 1.804 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 371 371 0 20858 0 0 0 0
normalized size 1 1. 0. 56.22 0. 0. 0. 0.
time (sec) N/A 0.383 53.407 0.677 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 118 118 0 12362 0 0 0 0
normalized size 1 1. 0. 104.76 0. 0. 0. 0.
time (sec) N/A 0.141 12.671 0.435 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 519 705 0 0 0 0
normalized size 1 1. 4.4 5.97 0. 0. 0. 0.
time (sec) N/A 0.149 2.89 0.403 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 240 240 0 12467 0 0 0 0
normalized size 1 1. 0. 51.95 0. 0. 0. 0.
time (sec) N/A 0.205 21.461 0.433 0. 0. 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 492 492 0 64189 0 0 0 0
normalized size 1 1. 0. 130.47 0. 0. 0. 0.
time (sec) N/A 0.491 25.974 1.202 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 2 1 4 10 1
normalized size 1 1. 1. 2. 1. 4. 10. 1.
time (sec) N/A 0.009 0. 0.014 1.473 1.557 0.423 1.147


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 2 1 4 22 1
normalized size 1 1. 1. 2. 1. 4. 22. 1.
time (sec) N/A 0.009 0. 0.016 1.496 1.875 1.088 1.129


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 2 1 4 34 1
normalized size 1 1. 1. 2. 1. 4. 34. 1.
time (sec) N/A 0.009 0. 0.016 1.457 1.636 3.321 1.098


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 23 4 20 84 36 45
normalized size 1 1. 2.09 0.36 1.82 7.64 3.27 4.09
time (sec) N/A 0.015 0.005 0.025 1.031 1.857 0.469 1.122


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 8 18 16 43 48 8
normalized size 1 1. 0.62 1.38 1.23 3.31 3.69 0.62
time (sec) N/A 0.023 0.003 0.031 0.983 1.649 2.396 1.117


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 22 48 51 227 765 50
normalized size 1 1. 0.69 1.5 1.59 7.09 23.91 1.56
time (sec) N/A 0.027 0.007 0.037 1.005 1.889 9.113 1.153


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 88 2011 27
normalized size 1 1. 1. 1.11 1.33 9.78 223.44 3.
time (sec) N/A 0.018 0.034 0.038 1.517 1.832 29.425 1.13


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 15 85 2118 30
normalized size 1 1. 1. 1.09 1.36 7.73 192.55 2.73
time (sec) N/A 0.02 0.032 0.033 1.463 1.915 32.779 1.111


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 99 2866 35
normalized size 1 1. 1. 1.07 1.33 6.6 191.07 2.33
time (sec) N/A 0.026 0.04 0.04 1.482 1.811 49.337 1.164


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 25 18 23 128 87 82
normalized size 1 1. 0.47 0.34 0.43 2.42 1.64 1.55
time (sec) N/A 0.037 0.043 0.055 1.467 1.851 1.291 1.141


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 36 38 0 433 241 151
normalized size 1 1. 0.84 0.88 0. 10.07 5.6 3.51
time (sec) N/A 0.149 0.099 0.051 0. 1.992 2.537 1.215


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 36 36 0 432 267 200
normalized size 1 1. 0.84 0.84 0. 10.05 6.21 4.65
time (sec) N/A 0.109 0.058 0.044 0. 1.94 2.554 1.125


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 19 16 20 107 0 20
normalized size 1 1. 0.53 0.44 0.56 2.97 0. 0.56
time (sec) N/A 0.028 0.047 0.046 1.469 1.773 0. 1.113


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 42 27 36 207 0 36
normalized size 1 1. 0.86 0.55 0.73 4.22 0. 0.73
time (sec) N/A 0.045 0.137 0.057 1.484 1.821 0. 1.124


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 79 40 61 305 0 53
normalized size 1 1. 1.07 0.54 0.82 4.12 0. 0.72
time (sec) N/A 0.055 0.185 0.054 1.485 1.843 0. 1.162


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 4 1 4 0 1
normalized size 1 1. 1. 4. 1. 4. 0. 1.
time (sec) N/A 0.012 0.001 0.024 1.487 1.601 0. 1.114


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 4 1 4 0 1
normalized size 1 1. 1. 4. 1. 4. 0. 1.
time (sec) N/A 0.013 0. 0.024 1.49 1.577 0. 1.141


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 4 1 4 0 1
normalized size 1 1. 1. 4. 1. 4. 0. 1.
time (sec) N/A 0.012 0. 0.028 1.508 1.615 0. 1.117


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 19 17 22 104 0 66
normalized size 1 1. 0.51 0.46 0.59 2.81 0. 1.78
time (sec) N/A 0.031 0.043 0.077 1.482 1.899 0. 1.131


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 64 28 36 201 0 81
normalized size 1 1. 1.36 0.6 0.77 4.28 0. 1.72
time (sec) N/A 0.04 0.106 0.103 1.495 1.915 0. 1.154


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 66 39 57 297 0 93
normalized size 1 1. 0.92 0.54 0.79 4.12 0. 1.29
time (sec) N/A 0.076 0.164 0.121 1.515 1.854 0. 1.131


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 6 4 5 0 4
normalized size 1 1. 1. 2. 1.33 1.67 0. 1.33
time (sec) N/A 0.013 0. 0.023 1.485 1.644 0. 1.126


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 4 1 4 0 1
normalized size 1 1. 1. 4. 1. 4. 0. 1.
time (sec) N/A 0.013 0.001 0.027 1.489 1.762 0. 1.142


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 6 4 5 0 4
normalized size 1 1. 1. 2. 1.33 1.67 0. 1.33
time (sec) N/A 0.013 0.001 0.029 1.487 1.485 0. 1.122


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 27 0 660 0 82
normalized size 1 1. 1. 0.82 0. 20. 0. 2.48
time (sec) N/A 0.05 0.063 0.032 0. 2.147 0. 1.14


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 239 507 820 0 7385 0 0
normalized size 1 1. 2.12 3.43 0. 30.9 0. 0.
time (sec) N/A 0.492 3.15 0.105 0. 4.134 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 258 1161 0 11062 0 0
normalized size 1 1. 0.71 3.18 0. 30.31 0. 0.
time (sec) N/A 0.739 4.032 0.11 0. 4.558 0. 0.


















Problem 499 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 195 195 149 255 332 348 566 213
normalized size 1 1. 0.76 1.31 1.7 1.78 2.9 1.09
time (sec) N/A 0.393 0.943 0.035 1.037 1.826 3.519 1.167


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 77 115 151 182 204 107
normalized size 1 1. 0.71 1.06 1.39 1.67 1.87 0.98
time (sec) N/A 0.099 0.296 0.024 0.991 1.743 0.782 1.139


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 52 0 54 0 70
normalized size 1 1. 1. 2.26 0. 2.35 0. 3.04
time (sec) N/A 0.089 0.062 0.092 0. 1.677 0. 1.196


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 140 1297 0 1705 0 613
normalized size 1 1. 0.89 8.26 0. 10.86 0. 3.9
time (sec) N/A 0.415 0.974 0.118 0. 2.165 0. 1.273


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 286 832 0 13609 0 0
normalized size 1 1. 1.18 3.44 0. 56.24 0. 0.
time (sec) N/A 0.94 0.7 0.095 0. 61.352 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 140 269 751 263 0 323
normalized size 1 1. 0.42 0.81 2.27 0.79 0. 0.98
time (sec) N/A 0.323 0.894 0.306 1.587 1.836 0. 1.334


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 70 107 252 108 0 132
normalized size 1 1. 0.38 0.58 1.36 0.58 0. 0.71
time (sec) N/A 0.109 0.193 0.209 1.559 1.817 0. 1.224


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 85 176 0 462 0 281
normalized size 1 1. 0.62 1.28 0. 3.37 0. 2.05
time (sec) N/A 0.198 0.183 0.164 0. 1.883 0. 1.35


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 144 738 0 1170 0 647
normalized size 1 1. 0.6 3.09 0. 4.9 0. 2.71
time (sec) N/A 0.272 0.353 0.153 0. 2.108 0. 1.597


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 33 0 31 0 43
normalized size 1 1. 1. 3. 0. 2.82 0. 3.91
time (sec) N/A 0.081 0.052 0.037 0. 1.7 0. 1.162


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 241 2556 0 13604 0 0
normalized size 1 1. 0.98 10.39 0. 55.3 0. 0.
time (sec) N/A 0.789 0.579 0.071 0. 65.635 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 153 245 203 342 248 3140
normalized size 1 1. 1.06 1.7 1.41 2.38 1.72 21.81
time (sec) N/A 0.269 2.32 0.008 1.512 1.857 0.741 7.671


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 88 117 100 174 122 957
normalized size 1 1. 1.22 1.62 1.39 2.42 1.69 13.29
time (sec) N/A 0.076 0.334 0.005 1.507 1.793 0.326 2.075


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 187 222 217 417 0 275
normalized size 1 1. 1.85 2.2 2.15 4.13 0. 2.72
time (sec) N/A 0.258 2.041 0.05 1.503 1.74 0. 1.575


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 308 458 566 1266 0 609
normalized size 1 1. 1.56 2.32 2.87 6.43 0. 3.09
time (sec) N/A 0.535 4.898 0.059 1.592 2.079 0. 1.626


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 147 158 224 236 0 328
normalized size 1 1. 0.52 0.56 0.79 0.83 0. 1.15
time (sec) N/A 0.226 1.367 0.088 1.525 1.751 0. 1.522


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 58 75 88 95 0 100
normalized size 1 1. 0.48 0.61 0.72 0.78 0. 0.82
time (sec) N/A 0.101 0.288 0.095 1.558 1.732 0. 1.257


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 88 114 185 163 0 748
normalized size 1 1. 0.64 0.83 1.34 1.18 0. 5.42
time (sec) N/A 0.188 0.704 0.067 1.519 1.652 0. 2.019


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 268 622 672 764 0 2121
normalized size 1 1. 0.85 1.97 2.13 2.42 0. 6.71
time (sec) N/A 0.402 3.186 0.094 1.547 1.738 0. 3.006


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 130 246 404 481 0 635
normalized size 1 1. 0.71 1.34 2.2 2.61 0. 3.45
time (sec) N/A 0.43 0.802 0.073 1.033 1.977 0. 1.28


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 64 110 170 305 0 258
normalized size 1 1. 0.84 1.45 2.24 4.01 0. 3.39
time (sec) N/A 0.078 0.265 0.039 1.021 1.748 0. 1.223


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 97 163 0 670 0 196
normalized size 1 1. 1.05 1.77 0. 7.28 0. 2.13
time (sec) N/A 0.304 0.385 0.093 0. 2.013 0. 1.238


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 276 1118 0 2871 0 662
normalized size 1 1. 1.2 4.86 0. 12.48 0. 2.88
time (sec) N/A 0.833 1.576 0.113 0. 3.055 0. 1.332


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 128 387 594 394 0 880
normalized size 1 1. 0.36 1.08 1.65 1.1 0. 2.45
time (sec) N/A 0.287 0.838 0.264 1.667 2.205 0. 1.667


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 67 208 221 225 0 302
normalized size 1 1. 0.39 1.2 1.28 1.3 0. 1.75
time (sec) N/A 0.119 0.263 0.238 1.592 2.036 0. 1.36


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 92 157 0 421 0 265
normalized size 1 1. 0.65 1.11 0. 2.96 0. 1.87
time (sec) N/A 0.213 0.392 0.238 0. 2.174 0. 1.56


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 216 756 0 1739 0 768
normalized size 1 1. 0.65 2.29 0. 5.27 0. 2.33
time (sec) N/A 0.566 1.011 0.21 0. 2.618 0. 1.886


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 19 8 0 24 8 19
normalized size 1 1. 1.12 0.47 0. 1.41 0.47 1.12
time (sec) N/A 0.04 0.005 0.065 0. 1.788 0.128 1.137


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 19 8 0 24 10 19
normalized size 1 1. 1.12 0.47 0. 1.41 0.59 1.12
time (sec) N/A 0.037 0.005 0.057 0. 1.882 0.103 1.144


















Problem 528 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 6 6 6 7 8 41 7 22
normalized size 1 1. 1. 1.17 1.33 6.83 1.17 3.67
time (sec) N/A 0.023 0.026 0.022 0.99 1.889 0.138 1.148


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 39 111 244 139 360 104
normalized size 1 1. 0.83 2.36 5.19 2.96 7.66 2.21
time (sec) N/A 0.041 0.119 0.059 1.511 1.987 2.46 1.161


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 75 113 0 466 0 178
normalized size 1 1. 1.01 1.53 0. 6.3 0. 2.41
time (sec) N/A 0.068 0.215 0.092 0. 2.039 0. 1.2


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 64 37 269 333 0 35
normalized size 1 1. 0.97 0.56 4.08 5.05 0. 0.53
time (sec) N/A 0.057 0.174 0.098 1.078 1.897 0. 1.21


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 78 222 0 379 0 200
normalized size 1 1. 0.93 2.64 0. 4.51 0. 2.38
time (sec) N/A 0.058 0.219 0.06 0. 2.134 0. 1.292


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 92 124 0 544 0 203
normalized size 1 1. 1.08 1.46 0. 6.4 0. 2.39
time (sec) N/A 0.057 0.24 0.09 0. 2.29 0. 1.191


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 122 218 0 728 0 365
normalized size 1 1. 0.95 1.69 0. 5.64 0. 2.83
time (sec) N/A 0.124 0.585 0.105 0. 2.263 0. 1.296


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 95 544 0 1377 0 240
normalized size 1 1. 0.83 4.73 0. 11.97 0. 2.09
time (sec) N/A 0.13 0.269 0.053 0. 2.798 0. 1.167


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 118 254 0 2691 0 282
normalized size 1 1. 1.04 2.25 0. 23.81 0. 2.5
time (sec) N/A 0.106 0.288 0.094 0. 2.881 0. 1.173


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 326 1109 0 7119 0 1569
normalized size 1 1. 1.63 5.54 0. 35.6 0. 7.84
time (sec) N/A 0.255 0.804 0.115 0. 4.659 0. 1.317


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 147 153 0 173 58 209
normalized size 1 1. 1.75 1.82 0. 2.06 0.69 2.49
time (sec) N/A 0.045 0.21 0.08 0. 2.007 1.715 1.133


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 147 284 0 132 51 209
normalized size 1 1. 1.75 3.38 0. 1.57 0.61 2.49
time (sec) N/A 0.042 0.183 0.08 0. 1.894 0.884 1.156


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 96 542 0 1374 0 239
normalized size 1 1. 0.83 4.67 0. 11.84 0. 2.06
time (sec) N/A 0.108 0.278 0.06 0. 2.851 0. 1.152


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 123 255 0 2739 0 278
normalized size 1 1. 1.08 2.24 0. 24.03 0. 2.44
time (sec) N/A 0.101 0.343 0.091 0. 2.94 0. 1.166


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 361 1088 0 7318 0 1423
normalized size 1 1. 1.8 5.44 0. 36.59 0. 7.12
time (sec) N/A 0.249 0.858 0.125 0. 4.914 0. 1.352


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 152 151 0 167 54 212
normalized size 1 1. 1.79 1.78 0. 1.96 0.64 2.49
time (sec) N/A 0.046 0.26 0.082 0. 1.928 1.759 1.172


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 152 280 0 127 48 212
normalized size 1 1. 1.79 3.29 0. 1.49 0.56 2.49
time (sec) N/A 0.046 0.238 0.077 0. 2.09 0.977 1.129


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 98 824 0 1507 0 252
normalized size 1 1. 0.82 6.92 0. 12.66 0. 2.12
time (sec) N/A 0.113 0.353 0.057 0. 2.667 0. 1.162


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 116 255 0 2799 0 277
normalized size 1 1. 1.05 2.32 0. 25.45 0. 2.52
time (sec) N/A 0.096 0.357 0.1 0. 2.794 0. 1.177


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 311 881 0 6728 0 1396
normalized size 1 1. 1.58 4.47 0. 34.15 0. 7.09
time (sec) N/A 0.232 0.821 0.127 0. 4.524 0. 1.321


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 87 195 212 0 178 75 238
normalized size 1 0.95 2.12 2.3 0. 1.93 0.82 2.59
time (sec) N/A 0.078 0.297 0.079 0. 2.085 1.939 1.165


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 85 195 388 0 153 75 238
normalized size 1 0.94 2.17 4.31 0. 1.7 0.83 2.64
time (sec) N/A 0.078 0.277 0.085 0. 2.055 1.063 1.169


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 110 954 0 1550 0 269
normalized size 1 1. 0.84 7.28 0. 11.83 0. 2.05
time (sec) N/A 0.126 0.333 0.056 0. 2.987 0. 1.15


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 137 329 0 3236 0 325
normalized size 1 1. 1.08 2.59 0. 25.48 0. 2.56
time (sec) N/A 0.123 0.436 0.102 0. 3.057 0. 1.184


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 452 1422 0 8820 0 2033
normalized size 1 1. 1.91 6. 0. 37.22 0. 8.58
time (sec) N/A 0.277 1.194 0.13 0. 5.721 0. 1.349


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 165 257 0 209 87 278
normalized size 1 1. 1.57 2.45 0. 1.99 0.83 2.65
time (sec) N/A 0.074 0.413 0.08 0. 2.147 2.331 1.127


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 167 475 0 169 80 278
normalized size 1 1. 1.62 4.61 0. 1.64 0.78 2.7
time (sec) N/A 0.073 0.421 0.082 0. 2.067 1.38 1.142


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 68 32 70 0 68 0 92
normalized size 1 2.83 1.33 2.92 0. 2.83 0. 3.83
time (sec) N/A 0.068 0.094 0.102 0. 1.943 0. 1.184


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 390 390 7823 3502 0 0 0 0
normalized size 1 1. 20.06 8.98 0. 0. 0. 0.
time (sec) N/A 0.888 6.902 16.03 0. 0. 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 294 294 5218 2238 0 0 0 0
normalized size 1 1. 17.75 7.61 0. 0. 0. 0.
time (sec) N/A 0.555 6.555 10.746 0. 0. 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 3006 1460 0 0 0 0
normalized size 1 1. 13.13 6.38 0. 0. 0. 0.
time (sec) N/A 0.332 6.343 8.033 0. 0. 0. 0.


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 180 180 1319 777 0 0 0 0
normalized size 1 1. 7.33 4.32 0. 0. 0. 0.
time (sec) N/A 0.187 6.261 6.956 0. 0. 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 250 250 3176 2596 0 0 0 0
normalized size 1 1. 12.7 10.38 0. 0. 0. 0.
time (sec) N/A 0.323 6.487 9.936 0. 0. 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 378 378 5554 3164 0 0 0 0
normalized size 1 1. 14.69 8.37 0. 0. 0. 0.
time (sec) N/A 0.561 6.847 43.325 0. 0. 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 80 178 0 763 1151 190
normalized size 1 1. 0.95 2.12 0. 9.08 13.7 2.26
time (sec) N/A 0.152 0.262 0.059 0. 2.638 52.295 1.134


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 114 426 0 995 0 252
normalized size 1 1. 0.97 3.61 0. 8.43 0. 2.14
time (sec) N/A 0.157 0.46 0.16 0. 2.769 0. 1.146


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 174 1891 0 1891 0 805
normalized size 1 1. 0.94 10.22 0. 10.22 0. 4.35
time (sec) N/A 0.246 0.957 0.147 0. 3.337 0. 1.222


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 244 5051 0 3085 0 1809
normalized size 1 1. 0.95 19.58 0. 11.96 0. 7.01
time (sec) N/A 0.405 2.769 0.166 0. 3.838 0. 1.276


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 145 0 0 0 0 0
normalized size 1 1. 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.61 0.521 0. 0. 0. 0.


















Problem 567 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 107 107 75 106 108 228 190 101
normalized size 1 1. 0.7 0.99 1.01 2.13 1.78 0.94
time (sec) N/A 0.082 0.283 0.061 1.006 2.486 4.363 1.131


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 48 69 65 146 129 62
normalized size 1 1. 0.79 1.13 1.07 2.39 2.11 1.02
time (sec) N/A 0.034 0.157 0.049 0.999 2.412 1.159 1.134


















Problem 569 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 20 20 38 19 24 49 24 24
normalized size 1 1. 1.9 0.95 1.2 2.45 1.2 1.2
time (sec) N/A 0.016 0.008 0.001 1.003 2.308 0.199 1.125


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 45 0 653 0 82
normalized size 1 1. 1. 0.94 0. 13.6 0. 1.71
time (sec) N/A 0.066 0.076 0.067 0. 2.413 0. 1.135


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 94 139 0 1116 0 157
normalized size 1 1. 0.99 1.46 0. 11.75 0. 1.65
time (sec) N/A 0.109 0.414 0.113 0. 2.723 0. 1.177


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 120 640 0 2152 0 340
normalized size 1 1. 0.81 4.3 0. 14.44 0. 2.28
time (sec) N/A 0.177 0.95 0.148 0. 3.174 0. 1.149


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 202 1138 0 0 0 0
normalized size 1 1. 0.76 4.29 0. 0. 0. 0.
time (sec) N/A 0.366 1.914 3.159 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 167 844 0 0 0 0
normalized size 1 1. 0.79 3.98 0. 0. 0. 0.
time (sec) N/A 0.22 1.502 2.825 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 75 312 0 0 0 0
normalized size 1 1. 0.99 4.11 0. 0. 0. 0.
time (sec) N/A 0.061 0.114 2.24 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 70 165 0 0 0 0
normalized size 1 1. 0.92 2.17 0. 0. 0. 0.
time (sec) N/A 0.067 0.14 2.135 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 101 570 0 0 0 0
normalized size 1 1. 0.71 3.99 0. 0. 0. 0.
time (sec) N/A 0.094 0.434 3.159 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 201 1554 0 0 0 0
normalized size 1 1. 0.68 5.27 0. 0. 0. 0.
time (sec) N/A 0.301 1.532 3.382 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 461 461 340 2282 0 7900 0 0
normalized size 1 1. 0.74 4.95 0. 17.14 0. 0.
time (sec) N/A 0.63 0.863 0.148 0. 5.089 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 256 1782 0 5913 0 0
normalized size 1 1. 0.75 5.24 0. 17.39 0. 0.
time (sec) N/A 0.537 0.746 0.112 0. 4.789 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 788 1284 0 3969 0 0
normalized size 1 1. 3.5 5.71 0. 17.64 0. 0.
time (sec) N/A 0.319 1.434 0.111 0. 4.885 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 1.628 0.107 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.155 5.515 0.951 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.146 4.919 0.837 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 198 0 0 478 0 9918
normalized size 1 1. 1.13 0. 0. 2.73 0. 56.67
time (sec) N/A 0.297 1.48 180. 0. 2.734 0. 2.587


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 142 0 0 385 0 5636
normalized size 1 1. 1.08 0. 0. 2.94 0. 43.02
time (sec) N/A 0.227 0.997 180. 0. 2.493 0. 1.856


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 77 0 0 209 0 1395
normalized size 1 1. 0.96 0. 0. 2.61 0. 17.44
time (sec) N/A 0.131 0.854 180. 0. 2.23 0. 1.502


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 56 56 242 108 0 138 0 670
normalized size 1 1. 4.32 1.93 0. 2.46 0. 11.96
time (sec) N/A 0.102 7.546 0.666 0. 2.084 0. 1.286


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 24 77 154 54 20 53
normalized size 1 1. 0.69 2.2 4.4 1.54 0.57 1.51
time (sec) N/A 0.024 0.298 0.454 1.062 2.083 3.598 1.149


















Problem 590 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 20 20 20 21 27 47 19 57
normalized size 1 1. 1. 1.05 1.35 2.35 0.95 2.85
time (sec) N/A 0.038 0.031 0.035 1.012 1.966 3.463 1.17


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 32 54 135 80 112 72
normalized size 1 1. 0.91 1.54 3.86 2.29 3.2 2.06
time (sec) N/A 0.039 0.464 0.316 1.025 2.133 5.418 1.128


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 157 0 0 771 0 0
normalized size 1 1. 1.51 0. 0. 7.41 0. 0.
time (sec) N/A 0.091 1.019 1.249 0. 2.332 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 102 172 821 1095 0 0
normalized size 1 1. 0.8 1.35 6.46 8.62 0. 0.
time (sec) N/A 0.181 1.064 0.357 1.27 2.433 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 194 0 0 421 0 9827
normalized size 1 1. 1.1 0. 0. 2.39 0. 55.84
time (sec) N/A 0.299 1.242 180. 0. 2.951 0. 2.494


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 136 0 0 535 0 4226
normalized size 1 1. 1.03 0. 0. 4.05 0. 32.02
time (sec) N/A 0.226 0.808 180. 0. 2.594 0. 1.731


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 71 0 0 203 0 1346
normalized size 1 1. 0.89 0. 0. 2.54 0. 16.82
time (sec) N/A 0.128 0.685 180. 0. 2.292 0. 1.452


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 56 56 237 106 0 219 0 494
normalized size 1 1. 4.23 1.89 0. 3.91 0. 8.82
time (sec) N/A 0.093 7.472 1.171 0. 2.216 0. 1.289


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 22 70 154 54 20 43
normalized size 1 1. 0.65 2.06 4.53 1.59 0.59 1.26
time (sec) N/A 0.022 0.221 0.663 1.06 2.023 3.096 1.148


















Problem 599 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 19 19 19 20 26 49 20 54
normalized size 1 1. 1. 1.05 1.37 2.58 1.05 2.84
time (sec) N/A 0.056 0.02 0.043 0.989 1.995 3.695 1.17


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 31 53 135 81 109 70
normalized size 1 1. 0.94 1.61 4.09 2.45 3.3 2.12
time (sec) N/A 0.038 0.417 0.372 1.023 1.976 5.109 1.152


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 176 0 0 772 0 0
normalized size 1 1. 1.6 0. 0. 7.02 0. 0.
time (sec) N/A 0.093 1.14 1.057 0. 2.32 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 130 141 514 1014 0 0
normalized size 1 1. 1.05 1.14 4.15 8.18 0. 0.
time (sec) N/A 0.183 1.085 0.353 1.653 2.567 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 64 98 0 273 0 0
normalized size 1 1. 0.41 0.62 0. 1.74 0. 0.
time (sec) N/A 0.445 0.234 0.642 0. 2.057 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 62 88 0 216 0 0
normalized size 1 1. 0.56 0.8 0. 1.96 0. 0.
time (sec) N/A 0.276 0.181 0.466 0. 2.091 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 44 78 0 159 0 0
normalized size 1 1. 0.61 1.08 0. 2.21 0. 0.
time (sec) N/A 0.199 0.181 0.445 0. 2.037 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 30 52 0 96 0 0
normalized size 1 1. 0.91 1.58 0. 2.91 0. 0.
time (sec) N/A 0.065 0.085 0.357 0. 2.145 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 73 136 581 525 0 0
normalized size 1 1. 1.62 3.02 12.91 11.67 0. 0.
time (sec) N/A 0.04 0.129 0.317 1.724 2.382 0. 0.


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 92 387 1416 921 0 0
normalized size 1 1. 1.1 4.61 16.86 10.96 0. 0.
time (sec) N/A 0.139 0.245 0.424 2.107 2.401 0. 0.


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 105 649 1918 1092 0 0
normalized size 1 1. 0.81 5.03 14.87 8.47 0. 0.
time (sec) N/A 0.214 0.256 0.451 2.265 2.483 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 116 921 3150 1260 0 0
normalized size 1 1. 0.66 5.23 17.9 7.16 0. 0.
time (sec) N/A 0.288 0.306 0.413 3.386 2.509 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 85 105 0 348 0 0
normalized size 1 1. 0.41 0.5 0. 1.67 0. 0.
time (sec) N/A 0.528 0.367 0.519 0. 2.067 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 73 95 0 290 0 0
normalized size 1 1. 0.49 0.64 0. 1.96 0. 0.
time (sec) N/A 0.348 0.22 0.398 0. 2.057 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 59 85 0 220 0 0
normalized size 1 1. 0.54 0.77 0. 2. 0. 0.
time (sec) N/A 0.268 0.238 0.34 0. 2.032 0. 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 51 61 0 165 0 0
normalized size 1 1. 0.68 0.81 0. 2.2 0. 0.
time (sec) N/A 0.11 0.17 0.429 0. 1.993 0. 0.


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 86 253 1778 770 0 0
normalized size 1 1. 1.08 3.16 22.22 9.62 0. 0.
time (sec) N/A 0.06 0.158 0.514 2.112 2.42 0. 0.


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 93 518 1428 941 0 0
normalized size 1 1. 1.08 6.02 16.6 10.94 0. 0.
time (sec) N/A 0.222 0.249 0.474 2.077 2.541 0. 0.


















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 105 792 0 1126 0 0
normalized size 1 1. 0.79 5.95 0. 8.47 0. 0.
time (sec) N/A 0.256 0.288 0.455 0. 2.376 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 117 1078 0 1310 0 0
normalized size 1 1. 0.64 5.92 0. 7.2 0. 0.
time (sec) N/A 0.312 0.249 0.457 0. 2.566 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 112 980 0 994 0 0
normalized size 1 1. 0.64 5.6 0. 5.68 0. 0.
time (sec) N/A 0.6 0.727 0.577 0. 2.434 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 89 673 0 749 0 0
normalized size 1 1. 0.69 5.22 0. 5.81 0. 0.
time (sec) N/A 0.359 0.392 0.506 0. 2.38 0. 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 67 478 0 626 0 0
normalized size 1 1. 0.76 5.43 0. 7.11 0. 0.
time (sec) N/A 0.238 0.257 0.467 0. 2.407 0. 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 64 236 0 386 0 0
normalized size 1 1. 1.16 4.29 0. 7.02 0. 0.
time (sec) N/A 0.076 0.148 0.388 0. 2.271 0. 0.


















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 94 301 0 807 0 0
normalized size 1 1. 0.94 3.01 0. 8.07 0. 0.
time (sec) N/A 0.09 0.332 0.363 0. 2.14 0. 0.


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 166 1030 0 1274 0 0
normalized size 1 1. 1.2 7.46 0. 9.23 0. 0.
time (sec) N/A 0.279 2.473 0.466 0. 2.292 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 186 1835 0 1503 0 0
normalized size 1 1. 1.02 10.08 0. 8.26 0. 0.
time (sec) N/A 0.37 3.074 0.462 0. 2.327 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 100 1211 0 886 0 0
normalized size 1 1. 0.56 6.73 0. 4.92 0. 0.
time (sec) N/A 0.513 1.361 0.454 0. 2.907 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 94 930 0 711 0 0
normalized size 1 1. 0.73 7.27 0. 5.55 0. 0.
time (sec) N/A 0.306 0.625 0.453 0. 2.857 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 84 433 0 706 0 0
normalized size 1 1. 0.9 4.66 0. 7.59 0. 0.
time (sec) N/A 0.236 0.61 0.423 0. 2.792 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 83 599 0 699 0 0
normalized size 1 1. 0.89 6.44 0. 7.52 0. 0.
time (sec) N/A 0.121 0.651 0.406 0. 2.985 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 196 561 0 1148 0 0
normalized size 1 1. 1.42 4.07 0. 8.32 0. 0.
time (sec) N/A 0.143 3.857 0.388 0. 2.973 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 342 1157 0 1372 0 0
normalized size 1 1. 1.92 6.5 0. 7.71 0. 0.
time (sec) N/A 0.32 6.198 0.43 0. 2.912 0. 0.


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 356 1787 0 1596 0 0
normalized size 1 1. 1.52 7.64 0. 6.82 0. 0.
time (sec) N/A 0.497 6.247 0.395 0. 2.914 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 119 0 97 0 0
normalized size 1 1. 1. 7.44 0. 6.06 0. 0.
time (sec) N/A 0.087 0.033 0.09 0. 2.512 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 119 396 0 431 0 0
normalized size 1 1. 1.72 5.74 0. 6.25 0. 0.
time (sec) N/A 0.364 5.903 0.141 0. 2.648 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 139 396 0 432 0 0
normalized size 1 1. 1.76 5.01 0. 5.47 0. 0.
time (sec) N/A 0.567 4.807 0.116 0. 2.657 0. 0.


















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 188 761 0 501 0 0
normalized size 1 1. 1.98 8.01 0. 5.27 0. 0.
time (sec) N/A 0.576 15.322 0.187 0. 2.633 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 51 31 0 150 0 0
normalized size 1 1. 1.7 1.03 0. 5. 0. 0.
time (sec) N/A 0.059 1.126 0.078 0. 3.092 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 938 137 32 292 129 192
normalized size 1 1. 36.08 5.27 1.23 11.23 4.96 7.38
time (sec) N/A 0.044 6.559 0.2 0.964 2.621 65.903 1.295


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 31 118 32 217 100 0
normalized size 1 1. 1.19 4.54 1.23 8.35 3.85 0.
time (sec) N/A 0.043 1.278 0.172 0.963 2.601 18.267 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 67 57 32 150 73 61
normalized size 1 1. 2.58 2.19 1.23 5.77 2.81 2.35
time (sec) N/A 0.028 0.037 0.119 0.967 2.396 5.013 1.184


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 29 23 30 85 63 57
normalized size 1 1. 1.32 1.05 1.36 3.86 2.86 2.59
time (sec) N/A 0.048 0.462 0.09 0.966 2.763 7.528 1.307


















Problem 642 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 24 24 27 25 32 72 49 146
normalized size 1 1. 1.12 1.04 1.33 3. 2.04 6.08
time (sec) N/A 0.044 0.31 0.139 0.985 2.355 22.534 1.239


















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 29 25 32 149 80 0
normalized size 1 1. 1.12 0.96 1.23 5.73 3.08 0.
time (sec) N/A 0.045 0.727 0.171 0.983 2.987 62.24 0.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 0.043 0.025 0. 0. 0. 0.


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 0.035 0.013 0. 0. 0. 0.


















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.078 0.026 0. 0. 0. 0.


















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.076 0.028 0. 0. 0. 0.


















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 16 31 17 18
normalized size 1 1. 1. 1.08 1.33 2.58 1.42 1.5
time (sec) N/A 0.022 0.018 0.007 0.969 2.068 0.386 1.078


















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 19 21 0 59 63 27
normalized size 1 1. 0.95 1.05 0. 2.95 3.15 1.35
time (sec) N/A 0.025 0.032 0.005 0. 2.08 2.513 1.104


















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 6 7 112 0 19
normalized size 1 1. 1. 1.2 1.4 22.4 0. 3.8
time (sec) N/A 0.023 0.021 0.013 1.427 2.182 0. 1.101


















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 6 7 59 5 7
normalized size 1 1. 1. 1.2 1.4 11.8 1. 1.4
time (sec) N/A 0.009 2.712 0.008 0.963 2.017 0.534 1.096


















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 21 23 23 219 34 23
normalized size 1 1. 0.75 0.82 0.82 7.82 1.21 0.82
time (sec) N/A 0.026 1.512 0.009 0.969 2.05 7.895 1.089


















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 21 27 494 54 27
normalized size 1 1. 1. 0.81 1.04 19. 2.08 1.04
time (sec) N/A 0.046 4.684 0.067 0.962 2.375 70.251 1.094


















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 137 40 139 111 97 53
normalized size 1 1. 3.81 1.11 3.86 3.08 2.69 1.47
time (sec) N/A 0.087 0.301 0.009 0.981 2.215 16.471 1.088


















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 65 7 9
normalized size 1 1. 1. 0.89 1. 7.22 0.78 1.
time (sec) N/A 0.011 2.754 0.006 0.96 1.995 0.533 1.109


















Problem 656 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 31 31 24 26 23 57 26 23
normalized size 1 1. 0.77 0.84 0.74 1.84 0.84 0.74
time (sec) N/A 0.023 0.121 0.005 0.976 1.903 0.82 1.11


















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 162 0 24 82 0 9
normalized size 1 1. 18. 0. 2.67 9.11 0. 1.
time (sec) N/A 0.072 2.252 0.518 1.444 2.855 0. 1.09


















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 59 49 69 140 0 101
normalized size 1 1. 0.83 0.69 0.97 1.97 0. 1.42
time (sec) N/A 0.066 0.158 1.081 0.985 2.186 0. 1.11


















Problem 659 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 18 23 36 39 23
normalized size 1 1. 1. 1. 1.28 2. 2.17 1.28
time (sec) N/A 0.014 0.051 0.005 0.984 2.005 0.512 1.096


















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 24 31 45 54 0
normalized size 1 1. 1. 1.04 1.35 1.96 2.35 0.
time (sec) N/A 0.015 0.237 0.014 0.983 1.889 9.436 0.


















Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 23 24 31 45 51 31
normalized size 1 1. 0.96 1. 1.29 1.88 2.12 1.29
time (sec) N/A 0.014 0.043 0.01 0.96 2.029 2.769 1.149


















Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 16 19 31 0 0
normalized size 1 1. 1. 1.14 1.36 2.21 0. 0.
time (sec) N/A 0.022 0.035 0.01 1.034 2.089 0. 0.


















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 22 27 42 0 0
normalized size 1 1. 1. 1.16 1.42 2.21 0. 0.
time (sec) N/A 0.022 0.061 0.02 1.081 2.329 0. 0.


















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 19 22 27 42 0 0
normalized size 1 1. 0.95 1.1 1.35 2.1 0. 0.
time (sec) N/A 0.023 0.058 0.013 1.07 1.889 0. 0.


















Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 15 28 14 16
normalized size 1 1. 1. 1.09 1.36 2.55 1.27 1.45
time (sec) N/A 0.022 0.006 0.014 0.945 2.072 0.36 1.094


















Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 20 0 58 56 26
normalized size 1 1. 0.95 1.05 0. 3.05 2.95 1.37
time (sec) N/A 0.022 0.02 0.007 0. 2.067 2.57 1.085


















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 119 0 22
normalized size 1 1. 1. 1.33 1.33 39.67 0. 7.33
time (sec) N/A 0.023 0.008 0.016 1.437 2.179 0. 1.08


















Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 6 7 176 0 7
normalized size 1 1. 1. 0.86 1. 25.14 0. 1.
time (sec) N/A 0.025 0.009 0.026 1.442 2.215 0. 1.107


















Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 10 12 200 0 12
normalized size 1 1. 1. 0.77 0.92 15.38 0. 0.92
time (sec) N/A 0.026 0.03 0.031 1.437 2.085 0. 1.166


















Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 48 51 271 0 51
normalized size 1 1. 1. 2.29 2.43 12.9 0. 2.43
time (sec) N/A 0.024 0.015 0.034 0.949 2.03 0. 1.143


















Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 23 30 208 0 30
normalized size 1 1. 1. 0.82 1.07 7.43 0. 1.07
time (sec) N/A 0.026 0.018 0.023 1.498 2.224 0. 1.093


















Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 14 36 27 14
normalized size 1 1. 1. 0.79 1. 2.57 1.93 1.
time (sec) N/A 0.034 0.007 0.006 0.964 2.145 0.878 1.116


















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 40 17 27 115 0 27
normalized size 1 1. 2.11 0.89 1.42 6.05 0. 1.42
time (sec) N/A 0.032 0.018 0.036 0.953 3.79 0. 1.097


















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 51 3 4
normalized size 1 1. 1. 1.33 1.33 17. 1. 1.33
time (sec) N/A 0.008 1.483 0.007 0.97 2.15 0.54 1.075


















Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 5 116 5 5
normalized size 1 1. 1. 1.25 1.25 29. 1.25 1.25
time (sec) N/A 0.022 7.687 0.012 0.952 2.151 12.989 1.099


















Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 9 11 140 10 39
normalized size 1 1. 1. 2.25 2.75 35. 2.5 9.75
time (sec) N/A 0.007 0.005 0.009 0.951 2.085 1.723 1.089


















Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 128 40 53 258 102 53
normalized size 1 1. 3.56 1.11 1.47 7.17 2.83 1.47
time (sec) N/A 0.077 0.425 0.011 0.983 2.226 16.575 1.14


















Problem 678 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 9 13 11 31 12 11
normalized size 1 1. 0.64 0.93 0.79 2.21 0.86 0.79
time (sec) N/A 0.016 0.01 0.004 0.965 2.166 0.837 1.085


















Problem 679 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 20 14 26 88 36 18
normalized size 1 1. 0.8 0.56 1.04 3.52 1.44 0.72
time (sec) N/A 0.049 0.023 0.577 0.988 2.141 3.247 1.089


















Problem 680 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 8 9 24 8 9
normalized size 1 1. 1. 0.8 0.9 2.4 0.8 0.9
time (sec) N/A 0.027 0.013 0.007 0.965 2.034 0.596 1.104


















Problem 681 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 6 6 6 6 7 22 7 7
normalized size 1 1. 1. 1. 1.17 3.67 1.17 1.17
time (sec) N/A 0.01 0.011 0.006 0.958 1.954 0.725 1.118


















Problem 682 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 7 7 9 26 0 16
normalized size 1 1. 0.7 0.7 0.9 2.6 0. 1.6
time (sec) N/A 0.012 0.021 0.015 3.177 2.157 0. 1.099


















Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 13 9 39 0 24
normalized size 1 1. 1. 1.3 0.9 3.9 0. 2.4
time (sec) N/A 0.011 0.009 0.017 0.996 2.057 0. 1.105


















Problem 684 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 17 17 17 17 22 35 36 22
normalized size 1 1. 1. 1. 1.29 2.06 2.12 1.29
time (sec) N/A 0.013 0.017 0.006 0.962 2.027 0.46 1.117


















Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 23 23 30 43 51 0
normalized size 1 1. 1.05 1.05 1.36 1.95 2.32 0.
time (sec) N/A 0.013 0.146 0.015 0.956 2.107 8.674 0.


















Problem 686 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 23 23 23 23 30 43 48 30
normalized size 1 1. 1. 1. 1.3 1.87 2.09 1.3
time (sec) N/A 0.013 0.046 0.008 1.099 2.058 2.574 1.15


















Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 17 18 30 0 18
normalized size 1 1. 1. 1.31 1.38 2.31 0. 1.38
time (sec) N/A 0.02 0.042 0.011 1.07 2.168 0. 1.089


















Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 23 26 41 0 0
normalized size 1 1. 1. 1.28 1.44 2.28 0. 0.
time (sec) N/A 0.021 0.067 0.025 1.062 2.057 0. 0.


















Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 23 26 41 0 0
normalized size 1 1. 0.95 1.21 1.37 2.16 0. 0.
time (sec) N/A 0.02 0.06 0.014 1.064 2.095 0. 0.


















Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 20 12 15 107 0 16
normalized size 1 1. 1.82 1.09 1.36 9.73 0. 1.45
time (sec) N/A 0.034 0.065 0.027 0.953 2.253 0. 1.083


















Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 23 4 20 84 0 23
normalized size 1 1. 2.09 0.36 1.82 7.64 0. 2.09
time (sec) N/A 0.031 0.006 0.029 0.956 2.059 0. 1.116


















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 9 8 9 70 0 9
normalized size 1 1. 0.33 0.3 0.33 2.59 0. 0.33
time (sec) N/A 0.029 0.024 0.031 1.447 2.132 0. 1.087


















Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 20 0 101 0 26
normalized size 1 1. 0.95 1.05 0. 5.32 0. 1.37
time (sec) N/A 0.035 0.178 0.021 0. 2.104 0. 1.141


















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 5 38 27 5
normalized size 1 1. 1. 1.25 1.25 9.5 6.75 1.25
time (sec) N/A 0.043 0.006 0.046 1.459 2.029 0.93 1.111


















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 5 38 27 5
normalized size 1 1. 1. 1.25 1.25 9.5 6.75 1.25
time (sec) N/A 0.063 0.005 0.053 1.491 2.12 0.924 1.087


















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 31 6 7 117 0 7
normalized size 1 1. 0.94 0.18 0.21 3.55 0. 0.21
time (sec) N/A 0.042 0.044 0.06 1.446 2.049 0. 1.093


















Problem 697 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 15 16 18 23 124 0 26
normalized size 1 1.5 1.6 1.8 2.3 12.4 0. 2.6
time (sec) N/A 0.048 0.037 0.055 0.96 2.179 0. 1.134


















Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 15 16 16 20 126 0 23
normalized size 1 1.5 1.6 1.6 2. 12.6 0. 2.3
time (sec) N/A 0.053 0.037 0.058 0.963 2.171 0. 1.111


















Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 74 80 120 1635 0 0
normalized size 1 1. 0.42 0.45 0.68 9.29 0. 0.
time (sec) N/A 0.14 0.121 0.054 1.455 3.069 0. 0.


















Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 22 18 23 188 0 23
normalized size 1 1. 0.42 0.34 0.43 3.55 0. 0.43
time (sec) N/A 0.066 0.055 0.064 1.468 2.103 0. 1.122


















Problem 701 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 54 35 38 194 29 39
normalized size 1 1. 1.93 1.25 1.36 6.93 1.04 1.39
time (sec) N/A 0.087 0.354 0.042 0.959 2.337 3.573 1.111


















Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 62 80 85 302 56 86
normalized size 1 1. 1.17 1.51 1.6 5.7 1.06 1.62
time (sec) N/A 0.138 0.556 0.059 0.991 2.406 4.703 1.097


















Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 133 143 159 459 95 166
normalized size 1 1. 1.71 1.83 2.04 5.88 1.22 2.13
time (sec) N/A 0.15 0.897 0.075 0.977 2.989 7.214 1.088


















Problem 704 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 11 14 109 0 14
normalized size 1 1. 1. 0.92 1.17 9.08 0. 1.17
time (sec) N/A 0.076 0.036 0.072 0.973 2.022 0. 1.107


















Problem 705 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 67 42 34 158 27 34
normalized size 1 1. 2.03 1.27 1.03 4.79 0.82 1.03
time (sec) N/A 0.092 0.026 0.022 0.96 2.228 92.638 1.102


















Problem 706 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 32 24 31 174 41 32
normalized size 1 1. 0.7 0.52 0.67 3.78 0.89 0.7
time (sec) N/A 0.089 0.227 0.108 1.461 2.403 8.212 1.103


















Problem 707 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 5 38 3 20
normalized size 1 1. 1. 1.25 1.25 9.5 0.75 5.
time (sec) N/A 0.018 0.002 0.032 1.465 1.954 23.674 1.12


















Problem 708 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 29 14 18 104 0 20
normalized size 1 1. 1.38 0.67 0.86 4.95 0. 0.95
time (sec) N/A 0.115 0.031 0.057 0.962 2.08 0. 1.148


















Problem 709 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 43 103 11 76 0 0
normalized size 1 1. 4.78 11.44 1.22 8.44 0. 0.
time (sec) N/A 0.047 0.044 0.164 1.419 2.116 0. 0.


















Problem 710 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 47 172 9 135 0 9
normalized size 1 1. 5.22 19.11 1. 15. 0. 1.
time (sec) N/A 0.047 0.062 0.361 1.48 2.249 0. 1.159


















Problem 711 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 46 173 22 224 0 23
normalized size 1 1. 3.29 12.36 1.57 16. 0. 1.64
time (sec) N/A 0.044 0.052 0.394 0.967 2.155 0. 1.175


















Problem 712 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 52 223 41 225 0 192
normalized size 1 1. 2.74 11.74 2.16 11.84 0. 10.11
time (sec) N/A 0.049 0.529 0.318 1.451 2.263 0. 1.207


















Problem 713 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 63 492 27 215 0 27
normalized size 1 1. 2.42 18.92 1.04 8.27 0. 1.04
time (sec) N/A 0.046 0.113 0.21 1.462 2.349 0. 1.107


















Problem 714 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 4 4 26 3 4
normalized size 1 1. 1. 1. 1. 6.5 0.75 1.
time (sec) N/A 0.012 0.06 0.012 0.961 1.984 1.72 1.109


















Problem 715 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 25 20 57 61 19 27
normalized size 1 1. 1.47 1.18 3.35 3.59 1.12 1.59
time (sec) N/A 0.067 0.018 0.013 0.955 2.092 9.181 1.103


















Problem 716 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 20 13 16 123 0 30
normalized size 1 1. 1.67 1.08 1.33 10.25 0. 2.5
time (sec) N/A 0.041 0.059 0.025 0.961 2.267 0. 1.129


















Problem 717 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 19 21 0 103 0 0
normalized size 1 1. 0.95 1.05 0. 5.15 0. 0.
time (sec) N/A 0.041 0.184 0.023 0. 2.415 0. 0.


















Problem 718 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 11 38 3 22
normalized size 1 1. 1. 1.17 1.83 6.33 0.5 3.67
time (sec) N/A 0.016 0.003 0.017 1.473 2.411 13.162 1.104


















Problem 719 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 11 38 27 22
normalized size 1 1. 1. 1.17 1.83 6.33 4.5 3.67
time (sec) N/A 0.047 0.005 0.025 1.442 2.313 0.939 1.119


















Problem 720 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 56 56 62 209 31 92
normalized size 1 1. 2. 2. 2.21 7.46 1.11 3.29
time (sec) N/A 0.082 0.33 0.046 0.98 2.953 11.597 1.154


















Problem 721 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 62 119 124 417 58 188
normalized size 1 1. 1.17 2.25 2.34 7.87 1.09 3.55
time (sec) N/A 0.136 0.505 0.065 0.974 3.292 28.694 1.2


















Problem 722 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 135 202 217 705 97 313
normalized size 1 1. 1.73 2.59 2.78 9.04 1.24 4.01
time (sec) N/A 0.139 1.264 0.078 0.991 3.424 75.33 1.173


















Problem 723 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 6 7 27 5 0
normalized size 1 1. 1. 1. 1.17 4.5 0.83 0.
time (sec) N/A 0.015 0.076 0.011 0.978 2.239 115.646 0.


















Problem 724 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 20 20 12 15 51 14 30
normalized size 1 1.82 1.82 1.09 1.36 4.64 1.27 2.73
time (sec) N/A 0.046 0.018 0.01 0.96 2.482 0.573 1.109


















Problem 725 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 5 5 5 4 7 23 3 7
normalized size 1 1. 1. 0.8 1.4 4.6 0.6 1.4
time (sec) N/A 0.033 0.022 0.025 1.455 2.491 0.27 1.089


















Problem 726 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 8 9 34 8 9
normalized size 1 1. 1. 0.73 0.82 3.09 0.73 0.82
time (sec) N/A 0.035 0.027 0.019 1.454 2.419 0.308 1.107


















Problem 727 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 9 12 9 32 15 9
normalized size 1 1. 1.29 1.71 1.29 4.57 2.14 1.29
time (sec) N/A 0.032 0.006 0.028 0.955 2.414 0.257 1.09


















Problem 728 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 38 6 45 80 5 55
normalized size 1 1. 7.6 1.2 9. 16. 1. 11.
time (sec) N/A 0.045 0.03 0.032 0.954 2.713 0.95 1.129


















Problem 729 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 25 18 51 0 28
normalized size 1 1. 1. 1.92 1.38 3.92 0. 2.15
time (sec) N/A 0.079 0.017 0.033 1.455 2.411 0. 1.116


















Problem 730 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 4 4 4 4 4 19 3 7
normalized size 1 1. 1. 1. 1. 4.75 0.75 1.75
time (sec) N/A 0.022 0.007 0.006 0.956 2.294 0.829 1.12


















Problem 731 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 28 7 15
normalized size 1 1. 1. 1.11 1.33 3.11 0.78 1.67
time (sec) N/A 0.022 0.008 0.006 0.957 2.311 0.927 1.082


















Problem 732 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 20 11 14 76 12 32
normalized size 1 1. 1.67 0.92 1.17 6.33 1. 2.67
time (sec) N/A 0.055 0.077 0.023 0.975 2.395 1.283 1.467


















Problem 733 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 66 47 354 0 0
normalized size 1 1. 1. 1.53 1.09 8.23 0. 0.
time (sec) N/A 0.095 0.057 0.043 1.464 2.769 0. 0.


















Problem 734 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 34 27 50 0 159
normalized size 1 1. 1. 1.55 1.23 2.27 0. 7.23
time (sec) N/A 0.091 0.033 0.032 1.433 2.444 0. 1.247


















Problem 735 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 20 20 13 16 58 17 30
normalized size 1 1.67 1.67 1.08 1.33 4.83 1.42 2.5
time (sec) N/A 0.042 0.019 0.017 0.967 2.497 0.482 1.091


















Problem 736 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 13 16 38 12 19
normalized size 1 1. 1. 0.93 1.14 2.71 0.86 1.36
time (sec) N/A 0.025 0.031 0.01 0.964 2.347 0.822 1.114


















Problem 737 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 3 3 3 6 4 22 5 4
normalized size 1 1. 1. 2. 1.33 7.33 1.67 1.33
time (sec) N/A 0.032 0.015 0.015 1.456 2.371 0.232 1.106


















Problem 738 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 41 35 66 200 151 65
normalized size 1 1. 0.95 0.81 1.53 4.65 3.51 1.51
time (sec) N/A 0.057 0.68 0.033 1.477 2.163 2.602 1.162


















Problem 739 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 15 19 54 0 28
normalized size 1 1. 1. 1.07 1.36 3.86 0. 2.
time (sec) N/A 0.077 0.018 0.463 1.445 2.121 0. 1.099


















Problem 740 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 28 38 50 146 0 65
normalized size 1 1. 0.65 0.88 1.16 3.4 0. 1.51
time (sec) N/A 0.106 0.057 0.973 1.483 2.189 0. 1.182


















Problem 741 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 28 104 50 69 0 0
normalized size 1 1. 0.65 2.42 1.16 1.6 0. 0.
time (sec) N/A 0.037 0.062 0.079 1.078 2.143 0. 0.


















Problem 742 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 28 104 50 69 0 0
normalized size 1 1. 0.65 2.42 1.16 1.6 0. 0.
time (sec) N/A 0.035 0.03 0. 1.069 2.152 0. 0.


















Problem 743 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 36 122 0 90 0 186
normalized size 1 1. 0.56 1.91 0. 1.41 0. 2.91
time (sec) N/A 0.036 0.068 0.081 0. 2.13 0. 1.244


















Problem 744 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 36 122 0 90 0 186
normalized size 1 1. 0.56 1.91 0. 1.41 0. 2.91
time (sec) N/A 0.038 0.03 0. 0. 2.166 0. 1.265


















Problem 745 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 28 106 50 70 0 0
normalized size 1 1. 0.65 2.47 1.16 1.63 0. 0.
time (sec) N/A 0.041 0.149 0.07 1.048 2.089 0. 0.


















Problem 746 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 28 106 50 70 0 0
normalized size 1 1. 0.65 2.47 1.16 1.63 0. 0.
time (sec) N/A 0.035 0.035 0. 1.056 2.039 0. 0.


















Problem 747 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 36 124 0 92 0 263
normalized size 1 1. 0.56 1.94 0. 1.44 0. 4.11
time (sec) N/A 0.037 0.177 0.072 0. 2.095 0. 1.25


















Problem 748 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 36 124 0 92 0 263
normalized size 1 1. 0.56 1.94 0. 1.44 0. 4.11
time (sec) N/A 0.037 0.034 0. 0. 2.177 0. 1.253


















Problem 749 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 35 0 9
normalized size 1 1. 1. 0.89 1. 3.89 0. 1.
time (sec) N/A 0.022 0.006 0.017 0.968 1.923 0. 1.08


















Problem 750 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 358 26 0 0
normalized size 1 1. 1. 0.89 39.78 2.89 0. 0.
time (sec) N/A 0.02 0.011 0.016 1.548 2.014 0. 0.


















Problem 751 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C C B C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 5 5 7 14 5
normalized size 1 1. 1. 1.67 1.67 2.33 4.67 1.67
time (sec) N/A 0.009 0. 0.012 1.457 1.937 0.142 1.091


















Problem 752 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 9 100 55 0 139
normalized size 1 1. 1. 1.12 12.5 6.88 0. 17.38
time (sec) N/A 0.018 0.005 0.005 1.46 2.144 0. 1.133


















Problem 753 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 26 30 73 76 30
normalized size 1 1. 0.82 0.76 0.88 2.15 2.24 0.88
time (sec) N/A 0.022 0.017 0.01 0.957 2.027 1.208 1.086


















Problem 754 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 7 8 26 10 8
normalized size 1 1. 1. 0.7 0.8 2.6 1. 0.8
time (sec) N/A 0.012 0.002 0.003 0.962 2.072 0.284 1.103


















Problem 755 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 9 11 46 15 12
normalized size 1 1. 1. 0.82 1. 4.18 1.36 1.09
time (sec) N/A 0.012 0.008 0.012 0.959 2.065 0.372 1.079


















Problem 756 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 7 7 9 8 9 35 8 23
normalized size 1 1. 1.29 1.14 1.29 5. 1.14 3.29
time (sec) N/A 0.044 0.006 0.033 0.979 2.082 7.664 1.105


















Problem 757 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 16 100 74 0 139
normalized size 1 1. 1. 0.84 5.26 3.89 0. 7.32
time (sec) N/A 0.019 0.008 0.007 1.466 2.003 0. 1.14


















Problem 758 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 37 37 26 31 35 82 32 36
normalized size 1 1. 0.7 0.84 0.95 2.22 0.86 0.97
time (sec) N/A 0.014 0.028 0.01 0.968 1.828 0.486 1.128


















Problem 759 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 129 49 176 11 130 236 50
normalized size 1 10.75 4.08 14.67 0.92 10.83 19.67 4.17
time (sec) N/A 0.324 0.026 0.081 0.983 2.452 0.09 1.117


















Problem 760 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 19 8 9 43 19 16
normalized size 1 1. 2.11 0.89 1. 4.78 2.11 1.78
time (sec) N/A 0.007 0.009 0.002 0.97 2.081 0.152 1.112


















Problem 761 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 47 31 0 8
normalized size 1 1. 1. 0.88 5.88 3.88 0. 1.
time (sec) N/A 0.013 0.016 0.005 0.965 1.975 0. 1.077


















Problem 762 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 12 0 49 0 20
normalized size 1 1. 1. 0.8 0. 3.27 0. 1.33
time (sec) N/A 0.029 0.016 0.05 0. 2.145 0. 1.118


















Problem 763 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 23 23 20 16 20 57 19 20
normalized size 1 1. 0.87 0.7 0.87 2.48 0.83 0.87
time (sec) N/A 0.022 0.013 0.013 1.458 2.001 0.319 1.088


















Problem 764 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 37 37 37 30 39 86 42 39
normalized size 1 1. 1. 0.81 1.05 2.32 1.14 1.05
time (sec) N/A 0.034 0.023 0.024 0.969 2.088 0.609 1.075


















Problem 765 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 12 9 11 45 8 14
normalized size 1 1. 1.2 0.9 1.1 4.5 0.8 1.4
time (sec) N/A 0.033 0.017 0.012 0.954 1.928 0.191 1.109


















Problem 766 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 19 5 8
normalized size 1 1. 1. 0.88 1. 2.38 0.62 1.
time (sec) N/A 0.007 0.001 0.005 0.962 1.894 0.164 1.111


















Problem 767 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 23 7 11
normalized size 1 1. 1. 0.9 1.1 2.3 0.7 1.1
time (sec) N/A 0.012 0.003 0.005 0.967 1.99 0.293 1.105


















Problem 768 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 19 5 8
normalized size 1 1. 1. 0.88 1. 2.38 0.62 1.
time (sec) N/A 0.009 0.002 0.005 0.982 1.948 0.538 1.084


















Problem 769 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 20 7 11
normalized size 1 1. 1. 0.9 1.1 2. 0.7 1.1
time (sec) N/A 0.008 0.01 0.003 0.957 1.855 0.163 1.087


















Problem 770 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 76 19 5 11
normalized size 1 1. 1. 0.88 9.5 2.38 0.62 1.38
time (sec) N/A 0.063 0.006 0.006 0.973 1.952 0.332 1.082


















Problem 771 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 12 11 90 28 7 14
normalized size 1 1. 1.2 1.1 9. 2.8 0.7 1.4
time (sec) N/A 0.018 0.023 0.003 0.961 2.039 0.383 1.095


















Problem 772 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 12 46 12 14
normalized size 1 1. 1. 0.91 1.09 4.18 1.09 1.27
time (sec) N/A 0.01 0.018 0.003 0.964 1.89 0.167 1.113


















Problem 773 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 11 14 35 12 14
normalized size 1 1. 1. 0.92 1.17 2.92 1. 1.17
time (sec) N/A 0.005 0.005 0.005 0.951 1.923 1.045 1.084


















Problem 774 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 25 20 24 88 0 24
normalized size 1 1. 1.19 0.95 1.14 4.19 0. 1.14
time (sec) N/A 0.06 0.018 0.053 0.956 2.016 0. 1.107


















Problem 775 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 16 20 116 32 53
normalized size 1 1. 1. 0.84 1.05 6.11 1.68 2.79
time (sec) N/A 0.037 0.009 0.045 0.965 2.142 7.696 1.084


















Problem 776 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 35 64 43 88 48 43
normalized size 1 1. 0.74 1.36 0.91 1.87 1.02 0.91
time (sec) N/A 0.064 0.032 0.023 0.964 2.065 123.675 1.082


















Problem 777 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 35 35 28 36 34 78 32 34
normalized size 1 1. 0.8 1.03 0.97 2.23 0.91 0.97
time (sec) N/A 0.158 0.047 0.018 0.962 2.031 2.312 1.093


















Problem 778 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 4 4 4 5 5 14 3 5
normalized size 1 1. 1. 1.25 1.25 3.5 0.75 1.25
time (sec) N/A 0.007 0.001 0.001 0.961 2.017 0.164 1.099


















Problem 779 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 6 6 6 7 8 19 5 8
normalized size 1 1. 1. 1.17 1.33 3.17 0.83 1.33
time (sec) N/A 0.013 0.004 0.005 0.963 2.023 0.302 1.091


















Problem 780 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 8 9 27 5 9
normalized size 1 1. 1. 1.14 1.29 3.86 0.71 1.29
time (sec) N/A 0.004 0.008 0.002 1.462 2.168 0.086 1.111


















Problem 781 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 21 9 11 26 8 11
normalized size 1 1. 2.1 0.9 1.1 2.6 0.8 1.1
time (sec) N/A 0.009 0.013 0.003 0.961 2.012 0.169 1.072


















Problem 782 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 24 7 11
normalized size 1 1. 1. 0.9 1.1 2.4 0.7 1.1
time (sec) N/A 0.009 0.002 0.005 0.952 2.042 0.17 1.069


















Problem 783 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 24 7 11
normalized size 1 1. 1. 0.9 1.1 2.4 0.7 1.1
time (sec) N/A 0.01 0.003 0.003 0.949 2.059 0.298 1.081


















Problem 784 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 21 9 11 26 8 11
normalized size 1 1. 2.1 0.9 1.1 2.6 0.8 1.1
time (sec) N/A 0.012 0.014 0.003 0.968 2.132 0.299 1.078


















Problem 785 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 6 6 6 7 8 16 5 8
normalized size 1 1. 1. 1.17 1.33 2.67 0.83 1.33
time (sec) N/A 0.009 0.002 0.001 0.962 2.036 0.296 1.065


















Problem 786 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 15 19 46 15 19
normalized size 1 1. 1. 1.07 1.36 3.29 1.07 1.36
time (sec) N/A 0.011 0.03 0.006 0.966 1.955 0.17 1.084


















Problem 787 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 20 20 20 17 22 45 15 22
normalized size 1 1. 1. 0.85 1.1 2.25 0.75 1.1
time (sec) N/A 0.017 0.01 0.007 0.961 2.028 1.994 1.093


















Problem 788 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 23 23 16 18 20 62 20 20
normalized size 1 1. 0.7 0.78 0.87 2.7 0.87 0.87
time (sec) N/A 0.009 0.013 0.004 0.96 2.172 0.471 1.082


















Problem 789 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 20 20 20 17 22 46 15 22
normalized size 1 1. 1. 0.85 1.1 2.3 0.75 1.1
time (sec) N/A 0.017 0.002 0.003 0.961 2.008 0.546 1.09


















Problem 790 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 20 20 20 17 22 45 15 22
normalized size 1 1. 1. 0.85 1.1 2.25 0.75 1.1
time (sec) N/A 0.017 0.008 0.005 0.975 1.961 0.55 1.095


















Problem 791 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 57 7 9
normalized size 1 1. 1. 0.89 1. 6.33 0.78 1.
time (sec) N/A 0.01 1.371 0.013 0.964 2.031 0.516 1.1


















Problem 792 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 12 41 10 12
normalized size 1 1. 1. 0.91 1.09 3.73 0.91 1.09
time (sec) N/A 0.032 0.028 0.01 0.948 2.054 0.194 1.074


















Problem 793 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 65 11 126 36 82
normalized size 1 1. 1. 6.5 1.1 12.6 3.6 8.2
time (sec) N/A 0.038 0.018 0.036 0.954 2.036 0.613 1.081


















Problem 794 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 12 18 30 8 11
normalized size 1 1. 1. 1.33 2. 3.33 0.89 1.22
time (sec) N/A 0.029 0.004 0.017 0.968 1.905 3.764 1.092


















Problem 795 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 20 9 31 7 9
normalized size 1 1. 1. 4. 1.8 6.2 1.4 1.8
time (sec) N/A 0.016 0.011 0.008 0.957 2.181 0.077 1.093


















Problem 796 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A C B A F(-1) B
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 13 0 13 30 119 43 0 1072
normalized size 1 0. 1. 2.31 9.15 3.31 0. 82.46
time (sec) N/A 0.64 0.276 0.13 2.641 2.015 0. 1.162


















Problem 797 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 140 61 0 70
normalized size 1 1. 1. 1.11 15.56 6.78 0. 7.78
time (sec) N/A 0.016 0.017 0.006 0.97 2.052 0. 1.108


















Problem 798 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 15 19 105 37 19
normalized size 1 1. 1. 0.75 0.95 5.25 1.85 0.95
time (sec) N/A 0.017 0.012 0.031 0.956 2.086 0.534 1.096


















Problem 799 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 15 20 42 22 20
normalized size 1 1. 1. 0.79 1.05 2.21 1.16 1.05
time (sec) N/A 0.015 0.012 0.005 0.96 2.052 0.556 1.079


















Problem 800 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 13 22 39 10 24
normalized size 1 1. 1. 0.93 1.57 2.79 0.71 1.71
time (sec) N/A 0.015 0.006 0.011 0.953 2.071 0.081 1.097


















Problem 801 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 20 29 27 116 20 49
normalized size 1 1. 0.91 1.32 1.23 5.27 0.91 2.23
time (sec) N/A 0.033 0.025 0.015 0.961 2.171 0.096 1.079


















Problem 802 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 36 6 7 23 12 7
normalized size 1 1. 7.2 1.2 1.4 4.6 2.4 1.4
time (sec) N/A 0.015 0.007 0.019 0.955 1.997 2.393 1.093


















Problem 803 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 20 6 7 32 12 9
normalized size 1 1. 2.86 0.86 1. 4.57 1.71 1.29
time (sec) N/A 0.016 0.006 0.013 0.95 1.994 1.985 1.072


















Problem 804 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 8 6 15 20 14 12
normalized size 1 1. 1.6 1.2 3. 4. 2.8 2.4
time (sec) N/A 0.022 0.002 0.016 0.975 1.961 5.975 1.086


















Problem 805 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 61 20 93 149 32 39
normalized size 1 1. 4.07 1.33 6.2 9.93 2.13 2.6
time (sec) N/A 0.045 0.009 0.077 1.477 2.178 1.867 1.137


















Problem 806 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 26 12 15 55 12 20
normalized size 1 1. 2.36 1.09 1.36 5. 1.09 1.82
time (sec) N/A 0.046 0.094 0.027 0.951 2.221 0.216 1.089


















Problem 807 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 82 18 23 61 19 23
normalized size 1 1. 4.1 0.9 1.15 3.05 0.95 1.15
time (sec) N/A 0.053 0.173 0.015 1.462 2.289 0.576 1.078


















Problem 808 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 15 47 10 16
normalized size 1 1. 1. 1.09 1.36 4.27 0.91 1.45
time (sec) N/A 0.021 0.008 0.029 0.998 2.212 0.194 1.078


















Problem 809 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 1856 46 99 82 0
normalized size 1 1. 1. 71.38 1.77 3.81 3.15 0.
time (sec) N/A 0.049 0.042 0.566 1.441 2.423 1.261 0.


















Problem 810 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 39 24 297 132 0 38
normalized size 1 1. 1.62 1. 12.38 5.5 0. 1.58
time (sec) N/A 0.028 0.032 0.054 0.972 2.317 0. 1.074


















Problem 811 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 29 35 51 76 39 35
normalized size 1 1. 0.72 0.88 1.27 1.9 0.98 0.88
time (sec) N/A 0.065 0.046 0.007 0.99 2.284 0.323 1.087


















Problem 812 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 22 22 26 68 26 26
normalized size 1 1. 0.81 0.81 0.96 2.52 0.96 0.96
time (sec) N/A 0.01 0.03 0.007 0.947 2.228 0.466 1.072


















Problem 813 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 23 23 31 18 23 47 26 23
normalized size 1 1. 1.35 0.78 1. 2.04 1.13 1.
time (sec) N/A 0.04 0.024 0.009 0.963 2.234 0.315 1.086


















Problem 814 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 46 41 32 109 27 32
normalized size 1 1. 1.53 1.37 1.07 3.63 0.9 1.07
time (sec) N/A 0.03 0.018 0.007 0.963 2.339 0.068 1.101


















Problem 815 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 6 6 6 7 8 16 3 19
normalized size 1 1. 1. 1.17 1.33 2.67 0.5 3.17
time (sec) N/A 0.011 0.002 0.031 0.953 2.312 1.801 1.112


















Problem 816 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 8 9 39 8 41
normalized size 1 1. 1. 1.14 1.29 5.57 1.14 5.86
time (sec) N/A 0.038 0.004 0.031 0.96 2.367 23.318 1.097


















Problem 817 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 10 10 18 34 14 18
normalized size 1 1. 0.77 0.77 1.38 2.62 1.08 1.38
time (sec) N/A 0.014 0.004 0.007 0.958 2.204 0.07 1.085


















Problem 818 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 15 68 12 15
normalized size 1 1. 1. 0.91 1.36 6.18 1.09 1.36
time (sec) N/A 0.008 0.006 0.005 0.967 2.286 0.066 1.091


















Problem 819 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 17 14 66 10 15
normalized size 1 1. 1. 1.7 1.4 6.6 1. 1.5
time (sec) N/A 0.008 0.01 0.005 0.978 2.466 0.066 1.094


















Problem 820 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 23 8 11
normalized size 1 1. 1. 0.9 1.1 2.3 0.8 1.1
time (sec) N/A 0.008 0.009 0.003 0.953 2.148 0.166 1.073


















Problem 821 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 13 16 42 32 16
normalized size 1 1. 1. 0.72 0.89 2.33 1.78 0.89
time (sec) N/A 0.041 0.034 0.015 0.955 2.436 0.857 1.077


















Problem 822 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 22 31 11
normalized size 1 1. 1. 0.9 1.1 2.2 3.1 1.1
time (sec) N/A 0.012 0.005 0.003 0.95 2.191 1.743 1.067


















Problem 823 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 25 11 14 66 39 14
normalized size 1 1. 1.56 0.69 0.88 4.12 2.44 0.88
time (sec) N/A 0.016 0.021 0.006 0.948 2.326 0.573 1.105


















Problem 824 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 8 9 35 8 12
normalized size 1 1. 1. 1.14 1.29 5. 1.14 1.71
time (sec) N/A 0.007 0.006 0.003 0.962 2.279 0.127 1.067


















Problem 825 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 17 22 76 15 55
normalized size 1 1. 1. 1.31 1.69 5.85 1.15 4.23
time (sec) N/A 0.012 0.018 0.002 0.962 2.329 0.979 1.104


















Problem 826 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 21 11 14 81 10 14
normalized size 1 1. 4.2 2.2 2.8 16.2 2. 2.8
time (sec) N/A 0.009 0.015 0.003 0.962 2.296 1.351 1.144


















Problem 827 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 9 7 8 20 34 8 26
normalized size 1 1.29 1. 1.14 2.86 4.86 1.14 3.71
time (sec) N/A 0.045 0.007 0.04 0.966 2.279 6.479 1.082


















Problem 828 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 5 12 20 5
normalized size 1 1. 1. 1.25 1.25 3. 5. 1.25
time (sec) N/A 0.017 0.001 0.05 0.953 2.223 0.83 1.057


















Problem 829 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 21 14 100 69 0 109
normalized size 1 1. 1.62 1.08 7.69 5.31 0. 8.38
time (sec) N/A 0.02 0.007 0.006 1.47 2.505 0. 1.104


















Problem 830 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 16 16 18 28 27 65 20 27
normalized size 1 1. 1.12 1.75 1.69 4.06 1.25 1.69
time (sec) N/A 0.029 0.025 0.01 1.452 2.393 0.062 1.078


















Problem 831 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 26 34 47 86 36 42
normalized size 1 1. 0.81 1.06 1.47 2.69 1.12 1.31
time (sec) N/A 0.034 0.022 0.01 1.444 2.47 0.066 1.11


















Problem 832 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 16 19 14 53 12 14
normalized size 1 1. 0.89 1.06 0.78 2.94 0.67 0.78
time (sec) N/A 0.028 0.008 0.005 0.959 2.235 0.067 1.075


















Problem 833 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 34 34 32 29 24 78 32 30
normalized size 1 1. 0.94 0.85 0.71 2.29 0.94 0.88
time (sec) N/A 0.05 0.01 0.005 0.96 2.398 0.061 1.082


















Problem 834 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 33 29 18 66 12 18
normalized size 1 1. 2.54 2.23 1.38 5.08 0.92 1.38
time (sec) N/A 0.024 0.009 0.005 0.98 2.291 0.062 1.079


















Problem 835 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 24 36 22 100 31 22
normalized size 1 1. 0.52 0.78 0.48 2.17 0.67 0.48
time (sec) N/A 0.056 0.007 0.007 0.96 2.296 0.069 1.078


















Problem 836 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 21 27 68 20 26
normalized size 1 1. 1. 2.33 3. 7.56 2.22 2.89
time (sec) N/A 0.028 0.005 0.02 0.969 2.128 0.36 1.093


















Problem 837 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 17 13 18 42 12 18
normalized size 1 1. 1.21 0.93 1.29 3. 0.86 1.29
time (sec) N/A 0.017 0.005 0.005 0.95 1.992 0.061 1.08


















Problem 838 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 1 1 1 2 1 4 0 1
normalized size 1 1. 1. 2. 1. 4. 0. 1.
time (sec) N/A 0.01 0. 0.003 0.963 1.826 0.06 1.068


















Problem 839 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 6 6 8 7 8 22 7 8
normalized size 1 1. 1.33 1.17 1.33 3.67 1.17 1.33
time (sec) N/A 0.011 0.002 0.001 0.952 2.091 0.059 1.054


















Problem 840 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 23 7 12
normalized size 1 1. 1. 1.11 1.33 2.56 0.78 1.33
time (sec) N/A 0.009 0.006 0.006 0.96 1.945 0.29 1.069


















Problem 841 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 47 19 22 8
normalized size 1 1. 1. 0.88 5.88 2.38 2.75 1.
time (sec) N/A 0.017 0.005 0.004 0.949 1.925 0.125 1.071


















Problem 842 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 20 69 16 5 35
normalized size 1 1. 1. 3.33 11.5 2.67 0.83 5.83
time (sec) N/A 0.178 0.024 0.035 1.664 1.962 0.553 1.098


















Problem 843 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 11 23 8 11
normalized size 1 1. 1. 0.88 1.38 2.88 1. 1.38
time (sec) N/A 0.197 0.018 0.016 0.953 2.092 0.328 1.062


















Problem 844 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 12 9 11 23 8 11
normalized size 1 1. 1.5 1.12 1.38 2.88 1. 1.38
time (sec) N/A 0.011 0.012 0.007 0.958 1.898 0.305 1.067


















Problem 845 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 11 22 7 11
normalized size 1 1. 1. 0.88 1.38 2.75 0.88 1.38
time (sec) N/A 0.184 0.018 0.01 0.963 2.002 0.347 1.068


















Problem 846 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 70 55 69 0 767 136 104
normalized size 1 1.27 1. 1.25 0. 13.95 2.47 1.89
time (sec) N/A 0.17 0.081 0.072 0. 2.476 9.908 1.093


















Problem 847 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 70 54 69 0 767 136 104
normalized size 1 1.27 0.98 1.25 0. 13.95 2.47 1.89
time (sec) N/A 0.133 0.062 0.061 0. 2.41 10.025 1.086


















Problem 848 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 48 80 0 535 432 93
normalized size 1 1. 0.92 1.54 0. 10.29 8.31 1.79
time (sec) N/A 0.125 0.09 0.045 0. 2.308 63.917 1.089


















Problem 849 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 50 80 0 525 432 96
normalized size 1 1. 0.96 1.54 0. 10.1 8.31 1.85
time (sec) N/A 0.094 0.056 0.03 0. 2.226 63.931 1.087


















Problem 850 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 31 30 0 221 0 82
normalized size 1 1. 1.03 1. 0. 7.37 0. 2.73
time (sec) N/A 0.035 0.039 0.043 0. 2.323 0. 1.233


















Problem 851 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 49 31 0 208 0 42
normalized size 1 1. 1.58 1. 0. 6.71 0. 1.35
time (sec) N/A 0.032 0.062 0.043 0. 2.051 0. 1.134


















Problem 852 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 22 7 8
normalized size 1 1. 1. 0.88 1. 2.75 0.88 1.
time (sec) N/A 0.013 0.003 0.007 0.956 1.985 0.309 1.074


















Problem 853 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 25 55 68 0 19
normalized size 1 1. 0.95 1.32 2.89 3.58 0. 1.
time (sec) N/A 0.03 0.014 1.99 1.489 1.997 0. 1.092


















Problem 854 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 16 24 16 85 476 16
normalized size 1 1. 0.55 0.83 0.55 2.93 16.41 0.55
time (sec) N/A 0.056 0.016 0.009 0.962 2.134 66.341 1.073


















Problem 855 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 37 29 34 139 93 32 46
normalized size 1 1.28 1. 1.17 4.79 3.21 1.1 1.59
time (sec) N/A 0.133 0.103 0.058 1.477 2.171 0.405 1.096


















Problem 856 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 37 29 34 139 93 32 46
normalized size 1 1.28 1. 1.17 4.79 3.21 1.1 1.59
time (sec) N/A 0.091 0.08 0.061 1.466 2.169 0.424 1.122


















Problem 857 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 38 31 41 171 0 46
normalized size 1 1. 0.86 0.7 0.93 3.89 0. 1.05
time (sec) N/A 0.056 0.077 0.071 0.962 1.96 0. 1.066


















Problem 858 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 88 19 16 196 54 0 0
normalized size 1 4.63 1. 0.84 10.32 2.84 0. 0.
time (sec) N/A 2.243 0.067 0.26 1.632 2.193 0. 0.


















Problem 859 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A C B B F F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 44 0 68 917 699 363 0 0
normalized size 1 0. 1.55 20.84 15.89 8.25 0. 0.
time (sec) N/A 2.569 0.392 0.435 2.445 2.158 0. 0.


















Problem 860 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A C B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 72 17 12372 444 5 0 57
normalized size 1 3.79 0.89 651.16 23.37 0.26 0. 3.
time (sec) N/A 1.707 0.013 0.287 1.662 1.964 0. 1.116


















Problem 861 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 37 10 0 72 0 74
normalized size 1 1. 2.85 0.77 0. 5.54 0. 5.69
time (sec) N/A 0.146 0.045 0.058 0. 2.035 0. 1.292


















Problem 862 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 14 74 29 92
normalized size 1 1. 1. 0.79 1. 5.29 2.07 6.57
time (sec) N/A 0.044 0.054 0.018 0.955 2.042 0.911 1.097


















Problem 863 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 30 34 28 111 0 173
normalized size 1 1. 1.2 1.36 1.12 4.44 0. 6.92
time (sec) N/A 0.085 0.19 0.067 0.957 2.039 0. 1.092


















Problem 864 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 18 38 28 135 0 173
normalized size 1 1. 0.72 1.52 1.12 5.4 0. 6.92
time (sec) N/A 0.081 0.039 0.084 0.966 2.075 0. 1.096


















Problem 865 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 17 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.151 0.447 0.188 0. 0. 0. 0.


















Problem 866 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 84 40 54 184 112 0 131
normalized size 1 1.11 0.53 0.71 2.42 1.47 0. 1.72
time (sec) N/A 0.162 0.089 0.194 1.479 2.11 0. 1.098


















Problem 867 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 55 65 116 150 0 138
normalized size 1 1. 0.68 0.8 1.43 1.85 0. 1.7
time (sec) N/A 0.159 0.064 0.157 0.986 2.189 0. 1.09


















Problem 868 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 69 98 107 439 0 0
normalized size 1 1. 0.91 1.29 1.41 5.78 0. 0.
time (sec) N/A 0.535 0.061 0.078 1.528 2.454 0. 0.


















Problem 869 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 99 132 144 788 0 0
normalized size 1 1. 0.77 1.03 1.12 6.16 0. 0.
time (sec) N/A 0.592 0.069 0.066 1.521 2.414 0. 0.


















Problem 870 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 147 172 177 1137 0 0
normalized size 1 1. 0.79 0.92 0.95 6.11 0. 0.
time (sec) N/A 0.57 0.099 0.068 1.561 2.703 0. 0.


















Problem 871 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 50 147 112 459 0 0
normalized size 1 1. 0.62 1.81 1.38 5.67 0. 0.
time (sec) N/A 0.487 0.038 0.077 1.514 3.075 0. 0.


















Problem 872 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 75 183 153 821 0 0
normalized size 1 1. 0.69 1.68 1.4 7.53 0. 0.
time (sec) N/A 0.574 0.06 0.067 1.537 2.688 0. 0.


















Problem 873 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 87 221 185 1180 0 0
normalized size 1 1. 0.61 1.55 1.29 8.25 0. 0.
time (sec) N/A 0.61 0.069 0.069 1.553 2.696 0. 0.


















Problem 874 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 108 86 405 500 0 0
normalized size 1 1. 1.03 0.82 3.86 4.76 0. 0.
time (sec) N/A 0.343 0.079 0.107 1.571 2.412 0. 0.


















Problem 875 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 174 200 0 1210 0 0
normalized size 1 1. 0.77 0.89 0. 5.38 0. 0.
time (sec) N/A 0.531 0.128 0.157 0. 2.676 0. 0.


















Problem 876 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 290 250 790 1906 0 0
normalized size 1 1. 0.85 0.73 2.32 5.59 0. 0.
time (sec) N/A 0.629 0.432 0.226 1.653 3.038 0. 0.


















Problem 877 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 85 165 583 910 0 0
normalized size 1 1. 0.6 1.16 4.11 6.41 0. 0.
time (sec) N/A 0.399 0.237 0.077 1.704 3.121 0. 0.


















Problem 878 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 138 254 882 1823 0 0
normalized size 1 1. 0.63 1.15 4.01 8.29 0. 0.
time (sec) N/A 0.537 0.643 0.098 1.786 3.26 0. 0.


















Problem 879 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 356 191 324 1175 2446 0 0
normalized size 1 1. 0.54 0.91 3.3 6.87 0. 0.
time (sec) N/A 0.637 1.09 0.09 1.912 4.54 0. 0.


















Problem 880 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 20 26 54 116 18
normalized size 1 1. 1. 0.8 1.04 2.16 4.64 0.72
time (sec) N/A 0.031 0.01 0.048 0.946 2.332 14.387 1.065


















Problem 881 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 23 30 81 114 30
normalized size 1 1. 1. 0.77 1. 2.7 3.8 1.
time (sec) N/A 0.033 0.01 0.041 0.967 2.348 14.559 1.093


















Problem 882 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 23 30 82 116 30
normalized size 1 1. 1. 0.77 1. 2.73 3.87 1.
time (sec) N/A 0.033 0.008 0.036 0.94 2.423 14.256 1.071


















Problem 883 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 20 26 61 114 26
normalized size 1 1. 1. 0.8 1.04 2.44 4.56 1.04
time (sec) N/A 0.031 0.009 0.035 0.948 2.386 14.315 1.065


















Problem 884 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 20 7 8
normalized size 1 1. 1. 0.88 1. 2.5 0.88 1.
time (sec) N/A 0.006 0.006 0.002 0.946 2.355 0.159 1.079


















Problem 885 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 25 97 12 101 54 26
normalized size 1 1. 2.27 8.82 1.09 9.18 4.91 2.36
time (sec) N/A 0.021 0.078 0.032 0.944 2.4 2.087 1.071


















Problem 886 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 18 12 180 42 0 70
normalized size 1 1. 1.64 1.09 16.36 3.82 0. 6.36
time (sec) N/A 0.019 0.011 0.01 0.954 2.28 0. 1.086


















Problem 887 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 9 24 43 7 11
normalized size 1 1. 1. 0.75 2. 3.58 0.58 0.92
time (sec) N/A 0.047 0.016 0.047 0.946 2.309 1.683 1.067


















Problem 888 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 17 17 27 35 108 29 42
normalized size 1 1.42 1.42 2.25 2.92 9. 2.42 3.5
time (sec) N/A 0.039 0.015 0.024 0.95 2.311 1.642 1.069


















Problem 889 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 18 27 66 19 27
normalized size 1 1. 1. 0.95 1.42 3.47 1. 1.42
time (sec) N/A 0.04 0.013 0.017 0.958 2.528 33.438 1.073


















Problem 890 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 44 44 52 50 66 182 51 657
normalized size 1 1. 1.18 1.14 1.5 4.14 1.16 14.93
time (sec) N/A 0.038 0.045 0.025 0.943 2.512 0.116 3.069


















Problem 891 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 35 60 45 86 34 45
normalized size 1 1. 0.95 1.62 1.22 2.32 0.92 1.22
time (sec) N/A 0.033 0.031 0.029 0.957 2.405 0.098 1.274


















Problem 892 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 54 54 68 58 77 211 61 890
normalized size 1 1. 1.26 1.07 1.43 3.91 1.13 16.48
time (sec) N/A 0.041 0.092 0.038 0.942 2.552 0.121 2.933


















Problem 893 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 32 42 90 0 45
normalized size 1 1. 1. 0.86 1.14 2.43 0. 1.22
time (sec) N/A 0.039 0.029 0.031 0.947 2.353 0. 1.07


















Problem 894 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 34 34 42 46 62 158 49 57
normalized size 1 1. 1.24 1.35 1.82 4.65 1.44 1.68
time (sec) N/A 0.025 0.01 0.013 0.945 2.599 0.149 1.069


















Problem 895 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 68 55 140 42 55
normalized size 1 1. 1. 1.58 1.28 3.26 0.98 1.28
time (sec) N/A 0.036 0.026 0.054 0.94 2.411 0.099 1.084


















Problem 896 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 87 72 99 275 0 99
normalized size 1 1. 1. 0.83 1.14 3.16 0. 1.14
time (sec) N/A 0.13 0.06 0.056 0.943 2.708 0. 1.181


















Problem 897 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 37 59 220 0 70
normalized size 1 1. 1. 0.88 1.4 5.24 0. 1.67
time (sec) N/A 0.118 0.034 0.05 0.939 2.52 0. 1.093


















Problem 898 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 56 77 238 0 77
normalized size 1 1. 1. 0.89 1.22 3.78 0. 1.22
time (sec) N/A 0.124 0.031 0.051 0.955 2.429 0. 1.098


















Problem 899 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 52 49 70 293 0 81
normalized size 1 1. 0.87 0.82 1.17 4.88 0. 1.35
time (sec) N/A 0.126 0.124 0.056 0.945 2.286 0. 1.129


















Problem 900 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 59 38 55 115 0 0
normalized size 1 1. 1.26 0.81 1.17 2.45 0. 0.
time (sec) N/A 0.102 0.05 0.044 0.95 2.068 0. 0.


















Problem 901 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 71 38 50 140 44 53
normalized size 1 1. 1.65 0.88 1.16 3.26 1.02 1.23
time (sec) N/A 0.116 0.022 0.024 0.944 2.238 4.251 1.116


















Problem 902 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 69 59 220 41 300
normalized size 1 1. 1. 1.64 1.4 5.24 0.98 7.14
time (sec) N/A 0.041 0.028 0.027 0.952 2.238 0.109 1.145


















Problem 903 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 63 55 123 274 0 97
normalized size 1 1. 0.85 0.74 1.66 3.7 0. 1.31
time (sec) N/A 0.246 0.078 0.021 1.436 2.453 0. 1.225


















Problem 904 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 47 32 238 122 0 1592
normalized size 1 1. 3.36 2.29 17. 8.71 0. 113.71
time (sec) N/A 0.011 0.04 0.011 1.465 2.053 0. 1.447


















Problem 905 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 14 14 14 13 16 31 12 136
normalized size 1 1. 1. 0.93 1.14 2.21 0.86 9.71
time (sec) N/A 0.038 0.015 0.018 0.944 2.131 1.26 1.17


















Problem 906 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 0 72 0 0
normalized size 1 1. 1. 0.91 0. 6.55 0. 0.
time (sec) N/A 0.054 0.016 0.033 0. 2.652 0. 0.


















Problem 907 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 32 35 26 72 32 0
normalized size 1 1. 0.94 1.03 0.76 2.12 0.94 0.
time (sec) N/A 0.049 0.025 0.008 1.074 2.023 4.172 0.


















Problem 908 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 21 21 25 24 23 50 22 23
normalized size 1 1. 1.19 1.14 1.1 2.38 1.05 1.1
time (sec) N/A 0.03 0.013 0.013 0.956 1.975 2.073 1.084


















Problem 909 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 55 97 69 177 189 78
normalized size 1 1. 0.56 0.98 0.7 1.79 1.91 0.79
time (sec) N/A 0.06 0.23 0.019 0.984 2.157 1.317 1.076


















Problem 910 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 40 51 80 180 0 95
normalized size 1 1. 1.08 1.38 2.16 4.86 0. 2.57
time (sec) N/A 0.09 0.06 0.045 1.456 2.204 0. 1.166


















Problem 911 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 49 46 55 220 90 55
normalized size 1 1. 0.86 0.81 0.96 3.86 1.58 0.96
time (sec) N/A 0.073 0.091 0.046 0.986 2.255 7.722 1.1


















Problem 912 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 243 68 137 0 275 0 0
normalized size 1 4.26 1.19 2.4 0. 4.82 0. 0.
time (sec) N/A 0.211 0.057 0.157 0. 2.396 0. 0.


















Problem 913 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 8 9 61 7 14
normalized size 1 1. 1. 1.6 1.8 12.2 1.4 2.8
time (sec) N/A 0.023 0.004 0.018 0.947 2.045 5.5 1.089


















Problem 914 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A C A A F(-1) F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 11 0 11 30 15 30 0 0
normalized size 1 0. 1. 2.73 1.36 2.73 0. 0.
time (sec) N/A 0.276 0.319 0.109 1.207 2.158 0. 0.


















Problem 915 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A A B A F B
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 27 0 24 22 100 85 0 126
normalized size 1 0. 0.89 0.81 3.7 3.15 0. 4.67
time (sec) N/A 0.063 0.167 0.14 1.443 2.067 0. 1.144


















Problem 916 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 50 62 89 146 100 69
normalized size 1 1. 0.77 0.95 1.37 2.25 1.54 1.06
time (sec) N/A 0.068 0.087 0.026 0.971 2.06 1.232 1.09


















Problem 917 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 11 14 39 0 0
normalized size 1 1. 1. 1.38 1.75 4.88 0. 0.
time (sec) N/A 0.023 0.016 0.019 0.946 2.113 0. 0.


















Problem 918 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 0 169 101 0 0
normalized size 1 1. 1. 0. 5.28 3.16 0. 0.
time (sec) N/A 0.04 0.081 0.139 1.485 2.306 0. 0.


















Problem 919 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 61 22 0 4
normalized size 1 1. 1. 1.33 20.33 7.33 0. 1.33
time (sec) N/A 0.03 0.018 0.043 0.972 2.095 0. 1.097


















Problem 920 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 35 35 32 36 47 73 39 36
normalized size 1 1. 0.91 1.03 1.34 2.09 1.11 1.03
time (sec) N/A 0.065 0.04 0.002 0.959 1.892 0.337 1.095


















Problem 921 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A C A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 23 31 5 8
normalized size 1 1. 1. 0.88 2.88 3.88 0.62 1.
time (sec) N/A 0.007 0.002 0.005 1.085 1.988 0.572 1.103


















Problem 922 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 29 38 0 176 0 39
normalized size 1 1. 0.78 1.03 0. 4.76 0. 1.05
time (sec) N/A 0.173 0.071 0.01 0. 2.142 0. 1.092


















Problem 923 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 11 14 30 10 14
normalized size 1 1. 1. 0.79 1. 2.14 0.71 1.
time (sec) N/A 0.013 0.007 0.004 0.953 2.154 120.493 1.093


















Problem 924 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 15 11 58 7 11
normalized size 1 1. 1. 1.5 1.1 5.8 0.7 1.1
time (sec) N/A 0.037 0.003 0.022 0.935 2.059 1.731 1.063


















Problem 925 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 17 17 17 16 20 35 27 20
normalized size 1 1. 1. 0.94 1.18 2.06 1.59 1.18
time (sec) N/A 0.024 0.021 0.006 0.96 2.221 30.813 1.173


















Problem 926 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 120 436 170 213 241 170
normalized size 1 1. 0.93 3.38 1.32 1.65 1.87 1.32
time (sec) N/A 0.144 0.547 0.248 1.021 2.188 115.585 1.19


















Problem 927 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 352 160 5171 294 0 1964
normalized size 1 1. 3.2 1.45 47.01 2.67 0. 17.85
time (sec) N/A 0.112 0.883 0.148 2.322 2.314 0. 2.433


















Problem 928 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 49 27 0 8
normalized size 1 1. 1. 1.17 8.17 4.5 0. 1.33
time (sec) N/A 0.02 0.018 0.007 0.962 2.112 0. 1.071


















Problem 929 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 4 4 4 5 5 14 3 5
normalized size 1 1. 1. 1.25 1.25 3.5 0.75 1.25
time (sec) N/A 0.01 0.002 0.002 0.941 2.017 0.293 1.073


















Problem 930 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 30 24 132 104 0 1273
normalized size 1 1. 1.11 0.89 4.89 3.85 0. 47.15
time (sec) N/A 0.023 0.015 0.008 1.45 2.024 0. 1.356


















Problem 931 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A A F F(-2) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 26 0 26 28 0 0 0 0
normalized size 1 0. 1. 1.08 0. 0. 0. 0.
time (sec) N/A 0.811 0.431 0.324 0. 0. 0. 0.


















Problem 932 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 7.654 0.38 0. 0. 0. 0.


















Problem 933 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A B B A A B
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 9 0 9 57 111 35 10 112
normalized size 1 0. 1. 6.33 12.33 3.89 1.11 12.44
time (sec) N/A 0.381 0.123 0.063 1.61 2.12 0.331 1.068


















Problem 934 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 76 60 77 157 150 84
normalized size 1 1. 0.99 0.78 1. 2.04 1.95 1.09
time (sec) N/A 0.126 0.159 0.012 0.968 2.092 1.1 1.078


















Problem 935 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 161 161 134 125 177 321 326 193
normalized size 1 1. 0.83 0.78 1.1 1.99 2.02 1.2
time (sec) N/A 0.27 0.209 0.018 0.971 2.304 8.147 1.123


















Problem 936 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 89 89 105 84 107 181 201 95
normalized size 1 1. 1.18 0.94 1.2 2.03 2.26 1.07
time (sec) N/A 0.109 0.155 0.016 0.97 2.095 1.204 1.088


















Problem 937 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 288 288 167 213 294 420 541 251
normalized size 1 1. 0.58 0.74 1.02 1.46 1.88 0.87
time (sec) N/A 0.4 0.479 0.023 0.978 2.297 8.988 1.15


















Problem 938 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 55 136 0 0 0 0
normalized size 1 1. 0.9 2.23 0. 0. 0. 0.
time (sec) N/A 0.289 0.181 0.924 0. 0. 0. 0.


















Problem 939 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 137 266 0 0 0 0
normalized size 1 1. 0.93 1.8 0. 0. 0. 0.
time (sec) N/A 0.239 0.276 1.197 0. 0. 0. 0.


















Problem 940 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 43 86 68 70 0 42
normalized size 1 1. 1.26 2.53 2. 2.06 0. 1.24
time (sec) N/A 0.097 0.093 0.125 0.989 2.303 0. 1.823


















Problem 941 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 43 86 84 73 0 42
normalized size 1 1. 1.19 2.39 2.33 2.03 0. 1.17
time (sec) N/A 0.097 0.076 0.122 0.996 2.061 0. 2.133


















Problem 942 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 73 184 0 405 0 173
normalized size 1 1. 0.61 1.53 0. 3.38 0. 1.44
time (sec) N/A 0.701 0.595 0.211 0. 2.411 0. 1.259


















Problem 943 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 72 72 25 108 78 193 122 65
normalized size 1 1. 0.35 1.5 1.08 2.68 1.69 0.9
time (sec) N/A 0.151 0.035 0.088 1.434 2.125 28.038 1.233


















Problem 944 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 42 56 208 116 76 70
normalized size 1 1. 0.76 1.02 3.78 2.11 1.38 1.27
time (sec) N/A 0.409 0.204 0.147 1.471 2.238 1.746 1.172


















Problem 945 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 33 17 30 39 32 19
normalized size 1 1. 2.06 1.06 1.88 2.44 2. 1.19
time (sec) N/A 0.054 0.012 0.04 0.952 1.991 0.283 1.087


















Problem 946 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 31 39
normalized size 1 1. 1. 1.06 1.33 3.28 1.72 2.17
time (sec) N/A 0.028 0.043 0.026 0.937 2.052 0.484 1.133


















Problem 947 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 32 95 61 0 39
normalized size 1 1. 1. 1.68 5. 3.21 0. 2.05
time (sec) N/A 0.314 0.058 0.131 1.438 2.121 0. 1.158


















Problem 948 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 33 18 31 41 0 19
normalized size 1 1. 1.94 1.06 1.82 2.41 0. 1.12
time (sec) N/A 0.175 0.014 0.084 0.946 2.022 0. 1.139


















Problem 949 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 42 56 208 117 0 70
normalized size 1 1. 0.78 1.04 3.85 2.17 0. 1.3
time (sec) N/A 0.532 0.237 0.26 1.464 2.232 0. 1.228


















Problem 950 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 26 108 78 193 0 65
normalized size 1 1. 0.36 1.5 1.08 2.68 0. 0.9
time (sec) N/A 1.396 0.025 0.156 1.431 2.249 0. 1.225









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 [341] had the largest ratio of [ 1.286 ]

Table 2.1Rubi 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 2 2 1. 14 0.143







2 A 3 3 1. 27 0.111







3 A 2 2 1. 12 0.167







4 A 2 2 1. 14 0.143







5 A 2 1 1. 21 0.048







6 A 2 2 1. 23 0.087







7 A 2 2 1. 21 0.095







8 A 3 3 1. 14 0.214







9 A 4 4 1. 25 0.16







10 A 2 2 1. 14 0.143







11 A 2 2 1. 14 0.143







12 A 2 1 1. 23 0.043







13 A 2 2 1. 23 0.087







14 A 2 2 1. 23 0.087







15 A 2 2 1. 12 0.167







16 A 3 3 1. 25 0.12







17 A 2 2 1. 14 0.143







18 A 2 2 1. 12 0.167







19 A 2 1 1. 21 0.048







20 A 2 2 1. 21 0.095







21 A 2 2 1. 23 0.087







22 A 3 3 1. 14 0.214







23 A 4 4 1. 25 0.16







24 A 2 2 1. 14 0.143







25 A 2 2 1. 14 0.143







26 A 2 1 1. 21 0.048







27 A 2 2 1. 21 0.095







28 A 2 2 1. 23 0.087







29 A 6 5 1. 6 0.833







30 A 9 6 1. 6 1.







31 A 8 4 1. 16 0.25







32 A 8 4 1. 19 0.21







33 A 3 3 1. 16 0.188







34 A 3 3 1. 27 0.111







35 A 2 1 1. 11 0.091







36 A 5 5 1. 14 0.357







37 A 6 6 1. 16 0.375







38 A 9 5 1. 16 0.312







39 A 5 3 1. 36 0.083







40 A 4 3 1. 36 0.083







41 A 2 2 1. 34 0.059







42 A 0 0 0. 0 0.







43 A 0 0 0. 0 0.







44 A 6 5 1. 6 0.833







45 A 9 6 1. 6 1.







46 A 8 4 1. 16 0.25







47 A 8 4 1. 19 0.21







48 A 4 4 1. 21 0.19







49 A 4 4 1. 27 0.148







50 A 5 4 1. 37 0.108







51 A 5 5 1. 14 0.357







52 A 6 6 1. 16 0.375







53 A 5 3 1. 36 0.083







54 A 4 3 1. 36 0.083







55 A 2 2 1. 34 0.059







56 A 0 0 0. 0 0.







57 A 0 0 0. 0 0.







58 A 2 2 1. 12 0.167







59 A 3 3 1. 14 0.214







60 A 6 6 1. 12 0.5







61 A 2 1 1. 33 0.03







62 A 3 3 1. 14 0.214







63 A 2 2 1. 25 0.08







64 A 4 3 1. 16 0.188







65 A 4 3 1. 15 0.2







66 A 1 1 1. 7 0.143







67 A 1 1 1. 7 0.143







68 A 1 1 1. 7 0.143







69 A 4 2 1. 7 0.286







70 A 1 1 1. 7 0.143







71 A 1 1 1. 7 0.143







72 A 1 1 1. 7 0.143







73 A 4 2 1. 7 0.286







74 A 4 3 1. 7 0.429







75 A 9 4 1. 7 0.571







76 A 5 3 1. 7 0.429







77 A 10 4 1. 7 0.571







78 A 10 5 1. 7 0.714







79 A 6 3 1. 7 0.429







80 A 3 2 1. 7 0.286







81 A 3 2 1. 7 0.286







82 A 6 3 1. 7 0.429







83 A 6 3 1. 7 0.429







84 A 7 3 1. 7 0.429







85 A 2 2 1. 7 0.286







86 A 5 5 1. 7 0.714







87 A 4 3 1. 7 0.429







88 A 7 6 1. 7 0.857







89 A 7 4 1. 7 0.571







90 A 2 2 1. 7 0.286







91 A 2 1 1. 7 0.143







92 A 4 2 1. 7 0.286







93 A 4 2 1. 7 0.286







94 A 7 3 1. 7 0.429







95 A 3 2 1. 7 0.286







96 A 2 2 1. 9 0.222







97 A 1 1 1. 7 0.143







98 A 1 1 1. 7 0.143







99 A 1 1 1. 7 0.143







100 A 4 2 1. 7 0.286







101 A 1 1 1. 7 0.143







102 A 1 1 1. 7 0.143







103 A 1 1 1. 7 0.143







104 A 4 2 1. 7 0.286







105 A 4 3 1. 7 0.429







106 A 3 2 1. 7 0.286







107 A 6 4 1. 7 0.571







108 A 6 3 1. 7 0.429







109 A 10 5 1. 7 0.714







110 A 4 3 1. 7 0.429







111 A 9 4 1. 7 0.571







112 A 6 3 1. 7 0.429







113 A 10 4 1. 7 0.571







114 A 7 3 1. 7 0.429







115 A 6 3 1. 7 0.429







116 A 2 2 1. 7 0.286







117 A 2 1 1. 7 0.143







118 A 4 3 1. 7 0.429







119 A 4 2 1. 7 0.286







120 A 7 4 1. 7 0.571







121 A 3 3 1. 7 0.429







122 A 3 3 1. 9 0.333







123 A 2 2 1. 7 0.286







124 A 5 5 1. 7 0.714







125 A 4 2 1. 7 0.286







126 A 7 6 1. 7 0.857







127 A 7 3 1. 7 0.429







128 A 6 2 1. 9 0.222







129 A 6 2 1. 11 0.182







130 A 5 2 1. 11 0.182







131 A 5 2 1. 9 0.222







132 A 6 2 1. 9 0.222







133 A 6 2 1. 11 0.182







134 A 7 2 1. 13 0.154







135 A 3 2 1. 13 0.154







136 A 3 2 1. 14 0.143







137 A 3 2 1. 13 0.154







138 A 3 2 1. 14 0.143







139 A 4 3 1. 13 0.231







140 A 4 3 1. 14 0.214







141 A 4 3 1. 13 0.231







142 A 4 3 1. 14 0.214







143 A 3 2 1. 13 0.154







144 A 3 2 1. 14 0.143







145 A 3 2 1. 13 0.154







146 A 3 2 1. 14 0.143







147 A 2 2 1. 9 0.222







148 A 3 3 1. 9 0.333







149 A 4 4 1. 9 0.444







150 A 2 2 1. 9 0.222







151 A 3 3 1. 9 0.333







152 A 4 4 1. 9 0.444







153 A 4 4 1. 12 0.333







154 A 6 6 1. 12 0.5







155 A 3 3 1. 12 0.25







156 A 5 5 1. 12 0.417







157 A 3 3 1. 14 0.214







158 A 3 3 1. 14 0.214







159 A 2 2 1. 23 0.087







160 A 9 6 1. 24 0.25







161 A 11 7 1. 26 0.269







162 A 2 1 1. 33 0.03







163 A 9 6 1. 34 0.176







164 A 11 7 1. 36 0.194







165 A 5 3 1. 33 0.091







166 A 4 3 1. 33 0.091







167 A 3 3 1. 31 0.097







168 A 4 4 1. 33 0.121







169 A 5 5 1. 33 0.152







170 A 6 5 1. 33 0.152







171 A 11 9 1. 33 0.273







172 A 8 7 1. 33 0.212







173 A 3 3 1. 31 0.097







174 A 11 7 1. 33 0.212







175 A 13 8 1. 33 0.242







176 A 15 8 1. 33 0.242







177 A 20 11 1. 37 0.297







178 A 17 10 1. 37 0.27







179 A 14 9 1. 35 0.257







180 A 0 0 0. 0 0.







181 A 51 17 1. 33 0.515







182 A 34 14 1. 33 0.424







183 A 26 12 1. 31 0.387







184 A 15 8 1. 22 0.364







185 A 5 5 1. 13 0.385







186 A 6 6 1. 15 0.4







187 A 7 6 1. 15 0.4







188 A 8 6 1. 15 0.4







189 A 4 4 1. 15 0.267







190 A 5 4 1. 15 0.267







191 A 6 4 1. 15 0.267







192 A 7 4 1. 15 0.267







193 A 6 5 1. 17 0.294







194 A 5 5 1. 17 0.294







195 A 4 4 1. 17 0.235







196 A 6 5 1. 17 0.294







197 A 7 6 1. 17 0.353







198 A 8 6 1. 17 0.353







199 A 3 3 1. 16 0.188







200 A 3 3 1. 16 0.188







201 A 4 4 1. 17 0.235







202 A 3 3 1. 17 0.176







203 A 4 4 1. 17 0.235







204 A 3 3 1. 17 0.176







205 A 4 3 1. 22 0.136







206 A 8 5 1. 17 0.294







207 A 5 3 1. 19 0.158







208 A 3 2 1. 20 0.1







209 A 4 3 1. 19 0.158







210 A 4 3 1. 22 0.136







211 A 10 6 1. 17 0.353







212 A 4 2 1. 19 0.105







213 A 3 3 1. 20 0.15







214 A 4 3 1. 19 0.158







215 A 6 6 1. 17 0.353







216 A 7 7 1. 17 0.412







217 A 2 2 1. 19 0.105







218 A 2 2 1. 19 0.105







219 A 3 2 1. 19 0.105







220 A 4 2 1. 19 0.105







221 A 3 2 1. 19 0.105







222 A 3 2 1. 19 0.105







223 A 2 1 1. 19 0.053







224 A 2 2 1. 19 0.105







225 A 3 2 1. 17 0.118







226 A 2 2 1. 19 0.105







227 A 1 1 1. 19 0.053







228 A 3 3 1. 19 0.158







229 A 2 2 1. 19 0.105







230 A 4 3 1. 19 0.158







231 A 3 2 1. 19 0.105







232 A 4 3 1. 21 0.143







233 A 3 3 1. 21 0.143







234 A 3 3 1. 21 0.143







235 A 2 2 1. 21 0.095







236 A 2 2 1. 21 0.095







237 A 3 3 1. 21 0.143







238 A 3 3 1. 21 0.143







239 A 4 3 1. 21 0.143







240 A 4 3 1. 21 0.143







241 A 3 3 1. 21 0.143







242 A 3 3 1. 21 0.143







243 A 2 2 1. 21 0.095







244 A 2 2 1. 21 0.095







245 A 3 3 1. 21 0.143







246 A 3 3 1. 21 0.143







247 A 4 3 1. 21 0.143







248 A 1 1 1. 22 0.045







249 A 1 1 1. 22 0.045







250 A 1 1 1. 22 0.045







251 A 1 1 1. 22 0.045







252 A 3 2 1. 20 0.1







253 A 1 1 1. 22 0.045







254 A 1 1 1. 22 0.045







255 A 1 1 1. 22 0.045







256 A 1 1 1. 22 0.045







257 A 1 1 1. 24 0.042







258 A 1 1 1. 24 0.042







259 A 1 1 1. 24 0.042







260 A 1 1 1. 24 0.042







261 A 1 1 1. 24 0.042







262 A 1 1 1. 24 0.042







263 A 8 7 1. 11 0.636







264 A 4 4 1. 11 0.364







265 A 7 6 1. 11 0.546







266 A 4 3 1. 11 0.273







267 A 3 2 1. 9 0.222







268 A 3 3 1. 11 0.273







269 A 6 6 1. 11 0.546







270 A 4 3 1. 11 0.273







271 A 8 8 1. 11 0.727







272 A 4 3 1. 11 0.273







273 A 4 3 1. 7 0.429







274 A 5 4 1. 7 0.571







275 A 4 3 1. 7 0.429







276 A 4 4 1. 7 0.571







277 A 3 2 0.69 5 0.4







278 A 3 3 1. 7 0.429







279 A 3 3 1. 7 0.429







280 A 4 3 1. 7 0.429







281 A 4 3 1. 7 0.429







282 A 4 3 1. 7 0.429







283 A 8 7 1. 11 0.636







284 A 4 4 1. 11 0.364







285 A 7 6 1. 11 0.546







286 A 4 3 1. 11 0.273







287 A 3 2 1. 9 0.222







288 A 3 3 1. 11 0.273







289 A 5 5 1. 11 0.454







290 A 4 3 1. 11 0.273







291 A 7 7 1. 11 0.636







292 A 4 3 1. 11 0.273







293 A 4 3 1. 7 0.429







294 A 5 4 1. 7 0.571







295 A 4 3 1. 7 0.429







296 A 4 4 1. 7 0.571







297 A 3 2 1. 5 0.4







298 A 3 3 1. 7 0.429







299 A 3 3 1. 7 0.429







300 A 4 3 1. 7 0.429







301 A 4 3 1. 7 0.429







302 A 4 3 1. 7 0.429







303 A 6 3 1. 9 0.333







304 A 6 5 1. 9 0.556







305 A 4 3 1. 9 0.333







306 A 3 2 1. 7 0.286







307 A 3 3 1. 9 0.333







308 A 2 1 1. 9 0.111







309 A 4 3 1. 9 0.333







310 A 2 0 1. 9 0.







311 A 4 3 1. 9 0.333







312 A 3 1 1. 9 0.111







313 A 4 3 1. 9 0.333







314 A 6 5 1. 11 0.454







315 A 5 5 1. 11 0.454







316 A 4 4 1. 11 0.364







317 A 3 3 1. 11 0.273







318 A 8 8 1. 11 0.727







319 A 9 9 1. 11 0.818







320 A 10 10 1. 11 0.909







321 A 11 10 1. 11 0.909







322 A 6 3 1. 9 0.333







323 A 6 5 1. 9 0.556







324 A 4 3 1. 9 0.333







325 A 3 2 1. 7 0.286







326 A 3 3 1. 9 0.333







327 A 2 1 1. 9 0.111







328 A 4 3 1. 9 0.333







329 A 2 0 1. 9 0.







330 A 4 3 1. 9 0.333







331 A 3 1 1. 9 0.111







332 A 4 3 1. 9 0.333







333 A 6 5 1. 11 0.454







334 A 5 5 1. 11 0.454







335 A 4 4 1. 11 0.364







336 A 3 3 1. 11 0.273







337 A 8 8 1. 11 0.727







338 A 9 9 1. 11 0.818







339 A 10 10 1. 11 0.909







340 A 11 10 1. 11 0.909







341 A 18 9 1. 7 1.286







342 A 4 3 1. 7 0.429







343 A 9 7 1. 7 1.







344 A 3 2 1. 5 0.4







345 A 6 6 1. 7 0.857







346 A 11 6 1. 7 0.857







347 A 5 4 1. 7 0.571







348 A 18 6 1. 7 0.857







349 A 3 3 1. 18 0.167







350 A 3 3 1. 18 0.167







351 A 4 4 1. 18 0.222







352 A 3 3 1. 18 0.167







353 A 3 3 1. 18 0.167







354 A 4 4 1. 18 0.222







355 A 6 3 1. 30 0.1







356 A 5 3 1. 30 0.1







357 A 4 3 1. 30 0.1







358 A 3 2 1. 28 0.071







359 A 1 1 1. 30 0.033







360 A 2 2 1. 30 0.067







361 A 3 2 1. 30 0.067







362 A 4 2 1. 30 0.067







363 A 5 4 1. 24 0.167







364 A 4 3 1. 24 0.125







365 A 3 2 1. 22 0.091







366 A 2 2 1. 24 0.083







367 A 4 4 1. 24 0.167







368 A 4 4 1. 24 0.167







369 A 5 5 1. 24 0.208







370 A 2 2 1. 24 0.083







371 A 4 4 1. 24 0.167







372 A 4 4 1. 24 0.167







373 A 5 5 1. 24 0.208







374 A 5 4 1. 24 0.167







375 A 4 3 1. 24 0.125







376 A 3 2 1. 22 0.091







377 A 2 2 1. 24 0.083







378 A 4 4 1. 24 0.167







379 A 4 4 1. 24 0.167







380 A 5 5 1. 24 0.208







381 A 5 4 1. 24 0.167







382 A 4 3 1. 24 0.125







383 A 3 2 1. 22 0.091







384 A 2 2 1. 24 0.083







385 A 4 4 1. 24 0.167







386 A 4 4 1. 24 0.167







387 A 5 5 1. 24 0.208







388 A 5 4 1. 24 0.167







389 A 4 3 1. 24 0.125







390 A 3 2 1. 22 0.091







391 A 2 2 1. 24 0.083







392 A 4 4 1. 24 0.167







393 A 4 4 1. 24 0.167







394 A 5 5 1. 24 0.208







395 A 6 4 1. 20 0.2







396 A 5 4 1. 20 0.2







397 A 4 3 1. 20 0.15







398 A 3 2 1. 18 0.111







399 A 3 3 1. 20 0.15







400 A 5 5 1. 20 0.25







401 A 5 5 1. 20 0.25







402 A 6 6 1. 20 0.3







403 A 7 7 1. 22 0.318







404 A 6 6 1. 22 0.273







405 A 2 2 1. 22 0.091







406 A 2 2 1. 22 0.091







407 A 3 3 1. 22 0.136







408 A 7 7 1. 22 0.318







409 A 8 7 1. 22 0.318







410 A 7 7 1. 22 0.318







411 A 6 6 1. 22 0.273







412 A 2 2 1. 22 0.091







413 A 2 2 1. 22 0.091







414 A 3 3 1. 22 0.136







415 A 7 7 1. 22 0.318







416 A 8 7 1. 22 0.318







417 A 3 2 1. 22 0.091







418 A 2 2 1. 22 0.091







419 A 1 1 1. 22 0.045







420 A 3 3 1. 22 0.136







421 A 4 4 1. 22 0.182







422 A 5 4 1. 22 0.182







423 A 4 2 1. 22 0.091







424 A 3 2 1. 22 0.091







425 A 2 2 1. 22 0.091







426 A 1 1 1. 22 0.045







427 A 3 3 1. 22 0.136







428 A 4 4 1. 22 0.182







429 A 5 4 1. 22 0.182







430 A 4 2 1. 32 0.062







431 A 3 2 1. 32 0.062







432 A 2 2 1. 32 0.062







433 A 1 1 1. 32 0.031







434 A 3 3 1. 32 0.094







435 A 4 4 1. 32 0.125







436 A 5 4 1. 32 0.125







437 A 3 2 1. 34 0.059







438 A 2 2 1. 34 0.059







439 A 1 1 1. 34 0.029







440 A 3 3 1. 34 0.088







441 A 4 4 1. 34 0.118







442 A 5 4 1. 34 0.118







443 A 4 4 1. 15 0.267







444 A 3 3 1.36 11 0.273







445 A 5 5 1. 12 0.417







446 A 4 4 1. 15 0.267







447 A 10 8 1. 17 0.471







448 A 7 7 1. 33 0.212







449 A 3 3 1. 33 0.091







450 A 3 3 1. 33 0.091







451 A 4 4 1. 33 0.121







452 A 8 8 1. 33 0.242







453 A 7 7 1. 33 0.212







454 A 3 3 1. 33 0.091







455 A 3 3 1. 33 0.091







456 A 4 4 1. 33 0.121







457 A 8 8 1. 33 0.242







458 A 5 5 1. 12 0.417







459 A 4 4 1. 15 0.267







460 A 9 7 1. 17 0.412







461 A 4 4 1. 15 0.267







462 A 7 7 1. 33 0.212







463 A 3 3 1. 33 0.091







464 A 3 3 1. 33 0.091







465 A 4 4 1. 33 0.121







466 A 8 8 1. 33 0.242







467 A 7 7 1. 33 0.212







468 A 3 3 1. 33 0.091







469 A 3 3 1. 33 0.091







470 A 4 4 1. 33 0.121







471 A 8 8 1. 33 0.242







472 A 2 2 1. 11 0.182







473 A 2 2 1. 11 0.182







474 A 2 2 1. 11 0.182







475 A 2 1 1. 13 0.077







476 A 2 1 1. 13 0.077







477 A 4 3 1. 13 0.231







478 A 2 1 1. 15 0.067







479 A 2 1 1. 15 0.067







480 A 2 1 1. 19 0.053







481 A 2 1 1. 23 0.043







482 A 4 3 1. 20 0.15







483 A 4 3 1. 20 0.15







484 A 4 2 1. 11 0.182







485 A 6 4 1. 11 0.364







486 A 6 4 1. 11 0.364







487 A 2 2 1. 13 0.154







488 A 2 2 1. 13 0.154







489 A 2 2 1. 13 0.154







490 A 4 2 1. 11 0.182







491 A 6 4 1. 11 0.364







492 A 6 4 1. 11 0.364







493 A 2 2 1. 13 0.154







494 A 2 2 1. 13 0.154







495 A 2 2 1. 13 0.154







496 A 2 1 1. 16 0.062







497 A 9 6 1. 18 0.333







498 A 11 7 1. 20 0.35







499 A 5 3 1. 39 0.077







500 A 2 2 1. 37 0.054







501 A 3 3 1. 39 0.077







502 A 9 6 1. 39 0.154







503 A 7 4 1. 21 0.19







504 A 4 3 1. 41 0.073







505 A 2 2 1. 41 0.049







506 A 5 5 1. 41 0.122







507 A 8 6 1. 41 0.146







508 A 3 3 1. 27 0.111







509 A 5 3 1. 21 0.143







510 A 7 5 1. 39 0.128







511 A 3 3 1. 37 0.081







512 A 4 4 1. 39 0.103







513 A 6 4 1. 39 0.103







514 A 6 5 1. 41 0.122







515 A 3 3 1. 41 0.073







516 A 3 3 1. 41 0.073







517 A 5 4 1. 41 0.098







518 A 8 7 1. 39 0.18







519 A 5 4 1. 37 0.108







520 A 6 6 1. 39 0.154







521 A 8 7 1. 39 0.18







522 A 7 6 1. 41 0.146







523 A 5 5 1. 41 0.122







524 A 5 5 1. 41 0.122







525 A 7 7 1. 41 0.171







526 A 1 1 1. 21 0.048







527 A 1 1 1. 21 0.048







528 A 1 1 1. 15 0.067







529 A 1 1 1. 21 0.048







530 A 3 3 1. 21 0.143







531 A 3 3 1. 21 0.143







532 A 3 3 1. 22 0.136







533 A 3 3 1. 22 0.136







534 A 4 4 1. 22 0.182







535 A 4 4 1. 19 0.21







536 A 4 4 1. 19 0.21







537 A 5 5 1. 19 0.263







538 A 1 1 1. 22 0.045







539 A 1 1 1. 22 0.045







540 A 4 4 1. 19 0.21







541 A 4 4 1. 19 0.21







542 A 5 5 1. 19 0.263







543 A 1 1 1. 22 0.045







544 A 1 1 1. 22 0.045







545 A 4 4 1. 22 0.182







546 A 4 4 1. 22 0.182







547 A 5 5 1. 22 0.227







548 A 1 1 0.95 25 0.04







549 A 1 1 0.94 25 0.04







550 A 4 4 1. 23 0.174







551 A 4 4 1. 23 0.174







552 A 5 5 1. 23 0.217







553 A 1 1 1. 26 0.038







554 A 1 1 1. 26 0.038







555 B 1 1 2.83 30 0.033







556 A 8 6 1. 27 0.222







557 A 7 6 1. 27 0.222







558 A 6 6 1. 27 0.222







559 A 5 5 1. 27 0.185







560 A 6 6 1. 27 0.222







561 A 7 6 1. 27 0.222







562 A 7 7 1. 31 0.226







563 A 8 8 1. 31 0.258







564 A 9 8 1. 31 0.258







565 A 10 8 1. 31 0.258







566 A 4 4 1. 18 0.222







567 A 3 3 1. 18 0.167







568 A 2 2 1. 18 0.111







569 A 3 2 1. 16 0.125







570 A 4 4 1. 18 0.222







571 A 6 6 1. 18 0.333







572 A 7 7 1. 18 0.389







573 A 8 8 1. 20 0.4







574 A 7 7 1. 20 0.35







575 A 3 3 1. 20 0.15







576 A 3 3 1. 20 0.15







577 A 5 5 1. 20 0.25







578 A 8 8 1. 20 0.4







579 A 13 8 1. 14 0.571







580 A 11 7 1. 14 0.5







581 A 9 6 1. 12 0.5







582 A 0 0 0. 0 0.







583 A 0 0 0. 0 0.







584 A 0 0 0. 0 0.







585 A 15 6 1. 26 0.231







586 A 11 5 1. 26 0.192







587 A 6 6 1. 26 0.231







588 A 4 3 1. 26 0.115







589 A 1 1 1. 23 0.043







590 A 1 1 1. 22 0.045







591 A 3 3 1. 20 0.15







592 A 7 5 1. 24 0.208







593 A 9 9 1. 26 0.346







594 A 15 6 1. 24 0.25







595 A 11 5 1. 24 0.208







596 A 6 6 1. 24 0.25







597 A 4 3 1. 24 0.125







598 A 1 1 1. 21 0.048







599 A 1 1 1. 20 0.05







600 A 3 3 1. 18 0.167







601 A 7 5 1. 22 0.227







602 A 9 9 1. 24 0.375







603 A 5 5 1. 31 0.161







604 A 4 4 1. 31 0.129







605 A 3 3 1. 31 0.097







606 A 2 2 1. 29 0.069







607 A 3 3 1. 20 0.15







608 A 4 4 1. 29 0.138







609 A 5 4 1. 31 0.129







610 A 6 4 1. 31 0.129







611 A 7 7 1. 31 0.226







612 A 5 5 1. 31 0.161







613 A 4 4 1. 31 0.129







614 A 3 3 1. 29 0.103







615 A 5 5 1. 20 0.25







616 A 6 6 1. 29 0.207







617 A 6 6 1. 31 0.194







618 A 7 6 1. 31 0.194







619 A 6 6 1. 31 0.194







620 A 5 5 1. 31 0.161







621 A 4 4 1. 31 0.129







622 A 3 3 1. 29 0.103







623 A 6 5 1. 20 0.25







624 A 7 6 1. 29 0.207







625 A 8 7 1. 31 0.226







626 A 6 6 1. 31 0.194







627 A 5 5 1. 31 0.161







628 A 4 4 1. 31 0.129







629 A 4 4 1. 29 0.138







630 A 7 6 1. 20 0.3







631 A 8 7 1. 29 0.241







632 A 9 7 1. 31 0.226







633 A 3 2 1. 13 0.154







634 A 6 4 1. 21 0.19







635 A 6 4 1. 28 0.143







636 A 6 4 1. 30 0.133







637 A 1 1 1. 43 0.023







638 A 1 1 1. 43 0.023







639 A 1 1 1. 43 0.023







640 A 1 1 1. 41 0.024







641 A 1 1 1. 43 0.023







642 A 1 1 1. 43 0.023







643 A 1 1 1. 43 0.023







644 A 0 0 0. 0 0.







645 A 0 0 0. 0 0.







646 A 0 0 0. 0 0.







647 A 0 0 0. 0 0.







648 A 2 2 1. 11 0.182







649 A 2 2 1. 11 0.182







650 A 2 2 1. 13 0.154







651 A 2 2 1. 6 0.333







652 A 4 4 1. 11 0.364







653 A 6 3 1. 13 0.231







654 A 4 3 1. 17 0.176







655 A 2 2 1. 10 0.2







656 A 3 3 1. 21 0.143







657 A 3 3 1. 19 0.158







658 A 3 2 1. 15 0.133







659 A 2 2 1. 17 0.118







660 A 2 2 1. 22 0.091







661 A 2 2 1. 22 0.091







662 A 2 2 1. 17 0.118







663 A 2 2 1. 22 0.091







664 A 2 2 1. 22 0.091







665 A 2 2 1. 11 0.182







666 A 2 2 1. 11 0.182







667 A 2 2 1. 13 0.154







668 A 2 2 1. 15 0.133







669 A 2 2 1. 19 0.105







670 A 4 4 1. 11 0.364







671 A 3 3 1. 15 0.2







672 A 2 2 1. 15 0.133







673 A 3 3 1. 16 0.188







674 A 2 2 1. 6 0.333







675 A 3 2 1. 10 0.2







676 A 2 2 1. 6 0.333







677 A 4 3 1. 17 0.176







678 A 3 3 1. 9 0.333







679 A 4 3 1. 13 0.231







680 A 2 2 1. 17 0.118







681 A 2 2 1. 9 0.222







682 A 2 2 1. 12 0.167







683 A 2 2 1. 18 0.111







684 A 2 2 1. 17 0.118







685 A 2 2 1. 22 0.091







686 A 2 2 1. 22 0.091







687 A 2 2 1. 17 0.118







688 A 2 2 1. 22 0.091







689 A 2 2 1. 22 0.091







690 A 2 2 1. 13 0.154







691 A 2 2 1. 15 0.133







692 A 2 2 1. 13 0.154







693 A 2 2 1. 13 0.154







694 A 3 1 1. 15 0.067







695 A 4 3 1. 19 0.158







696 A 3 3 1. 17 0.176







697 A 3 2 1.5 16 0.125







698 A 3 2 1.5 18 0.111







699 A 7 7 1. 15 0.467







700 A 3 3 1. 19 0.158







701 A 3 2 1. 19 0.105







702 A 3 2 1. 21 0.095







703 A 3 2 1. 21 0.095







704 A 2 2 1. 17 0.118







705 A 4 3 1. 17 0.176







706 A 5 5 1. 19 0.263







707 A 2 2 1. 11 0.182







708 A 4 2 1. 17 0.118







709 A 2 2 1. 17 0.118







710 A 2 2 1. 17 0.118







711 A 3 3 1. 15 0.2







712 A 3 3 1. 17 0.176







713 A 3 3 1. 17 0.176







714 A 2 2 1. 9 0.222







715 A 4 3 1. 15 0.2







716 A 2 2 1. 13 0.154







717 A 2 2 1. 13 0.154







718 A 2 2 1. 11 0.182







719 A 4 2 1. 15 0.133







720 A 3 2 1. 19 0.105







721 A 3 2 1. 21 0.095







722 A 3 2 1. 21 0.095







723 A 2 2 1. 11 0.182







724 A 4 4 1.82 13 0.308







725 A 2 2 1. 13 0.154







726 A 2 2 1. 15 0.133







727 A 2 2 1. 14 0.143







728 A 3 3 1. 15 0.2







729 A 2 1 1. 15 0.067







730 A 2 2 1. 9 0.222







731 A 2 2 1. 9 0.222







732 A 2 2 1. 19 0.105







733 A 3 2 1. 23 0.087







734 A 2 1 1. 23 0.043







735 A 4 4 1.67 13 0.308







736 A 2 2 1. 15 0.133







737 A 2 2 1. 13 0.154







738 A 3 3 1. 21 0.143







739 A 2 1 1. 15 0.067







740 A 3 2 1. 23 0.087







741 A 4 3 1. 20 0.15







742 A 4 3 1. 19 0.158







743 A 4 3 1. 24 0.125







744 A 4 3 1. 21 0.143







745 A 4 3 1. 20 0.15







746 A 4 3 1. 19 0.158







747 A 4 3 1. 24 0.125







748 A 4 3 1. 21 0.143







749 A 1 3 1. 8 0.375







750 A 1 2 1. 8 0.25







751 A 3 2 1. 11 0.182







752 A 2 2 1. 6 0.333







753 A 4 3 1. 8 0.375







754 A 2 2 1. 9 0.222







755 A 2 2 1. 12 0.167







756 A 3 2 1. 13 0.154







757 A 2 2 1. 8 0.25







758 A 1 1 1. 12 0.083







759 B 25 3 10.75 20 0.15







760 A 2 2 1. 6 0.333







761 A 3 3 1. 8 0.375







762 A 4 3 1. 15 0.2







763 A 2 2 1. 15 0.133







764 A 8 4 1. 17 0.235







765 A 3 2 1. 13 0.154







766 A 2 2 1. 6 0.333







767 A 2 2 1. 10 0.2







768 A 2 2 1. 8 0.25







769 A 2 2 1. 10 0.2







770 A 3 3 1. 10 0.3







771 A 3 3 1. 10 0.3







772 A 2 2 1. 8 0.25







773 A 1 1 1. 8 0.125







774 A 3 1 1. 18 0.056







775 A 6 3 1. 16 0.188







776 A 6 3 1. 8 0.375







777 A 2 2 1. 17 0.118







778 A 3 3 1. 7 0.429







779 A 3 3 1. 11 0.273







780 A 3 2 1. 10 0.2







781 A 2 2 1. 8 0.25







782 A 2 2 1. 8 0.25







783 A 3 2 1. 10 0.2







784 A 2 2 1. 10 0.2







785 A 3 3 1. 9 0.333







786 A 2 2 1. 8 0.25







787 A 3 3 1. 8 0.375







788 A 1 1 1. 8 0.125







789 A 3 3 1. 8 0.375







790 A 3 3 1. 8 0.375







791 A 2 2 1. 8 0.25







792 A 2 2 1. 13 0.154







793 A 1 1 1. 11 0.091







794 A 3 3 1. 9 0.333







795 A 3 2 1. 7 0.286







796 F 0 0 N/A 0 N/A







797 A 2 2 1. 6 0.333







798 A 3 2 1. 11 0.182







799 A 3 2 1. 8 0.25







800 A 3 2 1. 7 0.286







801 A 4 3 1. 9 0.333







802 A 2 2 1. 9 0.222







803 A 2 2 1. 7 0.286







804 A 2 2 1. 13 0.154







805 A 6 4 1. 10 0.4







806 A 2 2 1. 21 0.095







807 A 3 3 1. 15 0.2







808 A 2 2 1. 12 0.167







809 A 5 5 1. 16 0.312







810 A 4 2 1. 11 0.182







811 A 8 4 1. 13 0.308







812 A 1 1 1. 10 0.1







813 A 3 2 1. 13 0.154







814 A 4 2 1. 12 0.167







815 A 3 2 1. 8 0.25







816 A 5 4 1. 10 0.4







817 A 6 4 1. 15 0.267







818 A 4 3 1. 11 0.273







819 A 3 2 1. 13 0.154







820 A 2 2 1. 8 0.25







821 A 2 2 1. 28 0.071







822 A 1 1 1. 12 0.083







823 A 2 2 1. 23 0.087







824 A 3 3 1. 7 0.429







825 A 2 2 1. 10 0.2







826 A 2 2 1. 8 0.25







827 A 4 2 1.29 13 0.154







828 A 3 1 1. 20 0.05







829 A 3 3 1. 9 0.333







830 A 5 5 1. 10 0.5







831 A 5 4 1. 9 0.444







832 A 4 4 1. 10 0.4







833 A 5 4 1. 10 0.4







834 A 4 3 1. 10 0.3







835 A 6 4 1. 10 0.4







836 A 5 5 1. 14 0.357







837 A 5 4 1. 13 0.308







838 A 5 2 1. 9 0.222







839 A 5 2 1. 11 0.182







840 A 2 2 1. 7 0.286







841 A 6 2 1. 9 0.222







842 A 13 5 1. 10 0.5







843 A 3 3 1. 18 0.167







844 A 1 1 1. 18 0.056







845 A 3 3 1. 18 0.167







846 A 9 7 1.27 15 0.467







847 A 8 7 1.27 15 0.467







848 A 4 2 1. 15 0.133







849 A 4 2 1. 15 0.133







850 A 3 3 1. 21 0.143







851 A 3 3 1. 21 0.143







852 A 1 1 1. 14 0.071







853 A 4 4 1. 15 0.267







854 A 4 3 1. 14 0.214







855 A 7 5 1.28 16 0.312







856 A 7 5 1.28 16 0.312







857 A 4 2 1. 15 0.133







858 B 5 3 4.63 18 0.167







859 F 0 0 N/A 0 N/A







860 B 17 9 3.79 16 0.562







861 A 4 4 1. 12 0.333







862 A 2 2 1. 15 0.133







863 A 6 5 1. 15 0.333







864 A 6 5 1. 15 0.333







865 A 8 5 1. 18 0.278







866 A 10 8 1.11 23 0.348







867 A 7 6 1. 23 0.261







868 A 6 4 1. 16 0.25







869 A 8 5 1. 18 0.278







870 A 10 6 1. 18 0.333







871 A 5 5 1. 16 0.312







872 A 6 6 1. 18 0.333







873 A 7 7 1. 18 0.389







874 A 10 10 1. 16 0.625







875 A 17 14 1. 18 0.778







876 A 21 13 1. 18 0.722







877 A 12 11 1. 16 0.688







878 A 16 13 1. 18 0.722







879 A 21 17 1. 18 0.944







880 A 5 2 1. 11 0.182







881 A 5 2 1. 11 0.182







882 A 5 2 1. 11 0.182







883 A 5 2 1. 11 0.182







884 A 2 2 1. 6 0.333







885 A 1 1 1. 15 0.067







886 A 4 4 1. 9 0.444







887 A 3 2 1. 15 0.133







888 A 4 3 1.42 16 0.188







889 A 3 2 1. 15 0.133







890 A 5 4 1. 13 0.308







891 A 3 2 1. 13 0.154







892 A 5 4 1. 13 0.308







893 A 4 3 1. 15 0.2







894 A 5 4 1. 7 0.571







895 A 3 2 1. 13 0.154







896 A 5 4 1. 27 0.148







897 A 5 4 1. 27 0.148







898 A 5 4 1. 27 0.148







899 A 5 4 1. 27 0.148







900 A 5 3 1. 21 0.143







901 A 7 5 1. 23 0.217







902 A 4 3 1. 13 0.231







903 A 7 7 1. 15 0.467







904 A 2 2 1. 10 0.2







905 A 3 2 1. 17 0.118







906 A 5 4 1. 17 0.235







907 A 5 3 1. 8 0.375







908 A 3 2 1. 13 0.154







909 A 4 3 1. 16 0.188







910 A 6 5 1. 13 0.385







911 A 8 3 1. 12 0.25







912 B 22 9 4.26 18 0.5







913 A 3 3 1. 9 0.333







914 F 0 0 N/A 0 N/A







915 F 0 0 N/A 0 N/A







916 A 6 4 1. 12 0.333







917 A 2 2 1. 9 0.222







918 A 1 1 1. 21 0.048







919 A 3 3 1. 10 0.3







920 A 8 4 1. 13 0.308







921 A 1 1 1. 8 0.125







922 A 7 5 1. 12 0.417







923 A 1 1 1. 18 0.056







924 A 1 1 1. 14 0.071







925 A 1 1 1. 22 0.045







926 A 7 4 1. 22 0.182







927 A 6 4 1. 22 0.182







928 A 3 3 1. 10 0.3







929 A 3 3 1. 9 0.333







930 A 2 2 1. 14 0.143







931 F 0 0 N/A 0 N/A







932 A 0 0 0. 0 0.







933 F 0 0 N/A 0 N/A







934 A 7 5 1. 28 0.179







935 A 9 6 1. 30 0.2







936 A 7 6 1. 36 0.167







937 A 16 5 1. 38 0.132







938 A 7 6 1. 29 0.207







939 A 11 8 1. 31 0.258







940 A 4 4 1. 27 0.148







941 A 4 4 1. 27 0.148







942 A 7 4 1. 39 0.103







943 A 4 2 1. 39 0.051







944 A 5 3 1. 39 0.077







945 A 6 3 1. 39 0.077







946 A 1 1 1. 31 0.032







947 A 4 2 1. 31 0.065







948 A 2 1 1. 39 0.026







949 A 5 3 1. 39 0.077







950 A 4 2 1. 39 0.051