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, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 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, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 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, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 283, 284, 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, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 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, 693, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774 }

B grade: { }

C grade: { 70, 71, 96, 97, 126, 127, 139, 140, 165, 166, 255, 256, 281, 282, 312, 313, 325, 326, 351, 352, 368, 369 }

F grade: { 595, 596, 597, 610, 611, 612, 692, 694}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 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, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 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, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 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, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 283, 284, 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, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 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, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 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, 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, 525, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 543, 547, 548, 549, 550, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 569, 570, 571, 574, 575, 576, 577, 579, 580, 581, 582, 583, 584, 585, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 632, 633, 634, 635, 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, 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, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774 }

B grade: { 572, 573, 578, 631, 636 }

C grade: { 70, 71, 96, 97, 126, 127, 139, 140, 165, 166, 183, 184, 255, 256, 281, 282, 312, 313, 325, 326, 351, 352, 368, 369, 370, 371, 372, 462, 463, 464, 465, 466, 663, 728 }

F grade: { 16, 17, 399, 400, 408, 423, 424, 425, 524, 526, 541, 542, 544, 545, 546, 551, 552, 553, 567, 568, 586, 587, 602}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 38, 39, 40, 41, 42, 44, 47, 48, 51, 52, 54, 55, 58, 59, 60, 61, 62, 63, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 101, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 161, 162, 163, 164, 165, 166, 179, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 205, 206, 207, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 237, 238, 239, 240, 241, 243, 244, 245, 246, 251, 252, 253, 258, 259, 260, 261, 262, 263, 264, 273, 274, 275, 276, 277, 278, 279, 285, 286, 305, 306, 307, 308, 309, 310, 311, 319, 320, 321, 331, 332, 333, 334, 335, 336, 337, 338, 339, 347, 364, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 380, 381, 386, 387, 388, 389, 390, 395, 396, 397, 398, 399, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 420, 421, 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, 469, 473, 474, 475, 476, 477, 478, 479, 480, 487, 488, 493, 494, 495, 496, 497, 498, 499, 500, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 520, 523, 525, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 543, 547, 548, 549, 550, 555, 556, 563, 564, 565, 569, 570, 571, 576, 577, 594, 599, 600, 601, 609, 614, 615, 616, 617, 618, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 637, 638, 639, 640, 641, 642, 643, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 666, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766 }

B grade: { 12, 33, 35, 37, 43, 69, 80, 81, 95, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 128, 129, 130, 154, 155, 156, 157, 158, 159, 160, 167, 168, 169, 170, 171, 172, 173, 242, 255, 256, 257, 265, 266, 267, 268, 269, 270, 271, 272, 281, 282, 283, 284, 302, 303, 304, 312, 313, 315, 316, 317, 318, 322, 323, 324, 325, 326, 327, 328, 329, 330, 348, 349, 350, 351, 352, 378, 379, 382, 383, 384, 385, 400, 401, 402, 422, 423, 424, 425, 444, 465, 466, 467, 468, 470, 471, 472, 481, 482, 483, 484, 485, 486, 521, 522, 524, 527, 528, 540, 541, 554, 574, 575, 578, 636, 644, 665, 692, 704 }

C grade: { 566, 567, 568, 767 }

F grade: { 17, 45, 46, 49, 50, 53, 56, 57, 64, 65, 66, 67, 68, 174, 175, 176, 177, 178, 180, 181, 182, 202, 203, 204, 208, 209, 210, 211, 212, 232, 233, 234, 235, 236, 247, 248, 249, 250, 254, 280, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 314, 340, 341, 342, 343, 344, 345, 346, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 365, 366, 367, 391, 392, 393, 394, 416, 417, 418, 419, 489, 490, 491, 492, 501, 502, 503, 504, 517, 518, 519, 526, 539, 542, 544, 545, 546, 551, 552, 553, 557, 558, 559, 560, 561, 562, 572, 573, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 595, 596, 597, 598, 602, 603, 604, 605, 606, 607, 608, 610, 611, 612, 613, 619, 667, 726, 768, 769, 770, 771, 772, 773, 774 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 8, 9, 10, 18, 19, 22, 23, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 40, 41, 42, 58, 59, 60, 61, 65, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 108, 109, 110, 111, 112, 113, 114, 115, 118, 119, 120, 121, 122, 128, 131, 132, 133, 134, 135, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 157, 158, 159, 160, 161, 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, 198, 199, 200, 201, 205, 206, 207, 213, 214, 215, 229, 230, 231, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 251, 252, 253, 260, 273, 286, 299, 300, 308, 321, 322, 347, 368, 369, 370, 371, 372, 373, 387, 388, 389, 390, 395, 396, 413, 414, 415, 420, 421, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 447, 448, 449, 452, 458, 473, 474, 475, 476, 477, 478, 479, 480, 493, 494, 495, 496, 497, 498, 499, 500, 505, 506, 507, 508, 510, 511, 515, 516, 520, 523, 525, 529, 530, 531, 532, 533, 534, 535, 536, 543, 547, 548, 549, 550, 555, 556, 563, 564, 566, 567, 568, 571, 576, 577, 594, 599, 600, 601, 609, 614, 615, 616, 617, 618, 623, 637, 639, 640, 641, 642, 643, 645, 647, 648, 649, 650, 651, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 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, 702, 703, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 719, 721, 722, 723, 724, 725, 727, 728, 730, 732, 733, 734, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 774

B grade: { 20, 21, 24, 25, 35, 39, 197, 267, 268, 269, 270, 271, 272, 281, 282, 283, 284, 285, 323, 324, 325, 326, 348, 349, 350, 351, 352, 382, 383, 384, 385, 386, 444, 445, 446, 451, 457, 554, 636, 638, 644, 652, 665, 704, 718, 720, 731 }

C grade: { 123, 124, 125, 126, 127, 136, 137, 138, 139, 140, 162, 163, 164, 165, 166, 255, 256, 257, 258, 259, 450, 456, 620, 621, 622, 735 }

F grade: { 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 62, 63, 64, 66, 67, 68, 80, 81, 106, 107, 116, 117, 129, 130, 155, 156, 202, 203, 204, 208, 209, 210, 211, 212, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 232, 233, 234, 235, 236, 247, 248, 249, 250, 254, 261, 262, 263, 264, 265, 266, 274, 275, 276, 277, 278, 279, 280, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 301, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 374, 375, 376, 377, 378, 379, 380, 381, 391, 392, 393, 394, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 416, 417, 418, 419, 422, 423, 424, 425, 453, 454, 455, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 501, 502, 503, 504, 509, 512, 513, 514, 517, 518, 519, 521, 522, 524, 526, 527, 528, 537, 538, 539, 540, 541, 542, 544, 545, 546, 551, 552, 553, 557, 558, 559, 560, 561, 562, 565, 569, 570, 572, 573, 574, 575, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 595, 596, 597, 598, 602, 603, 604, 605, 606, 607, 608, 610, 611, 612, 613, 619, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 646, 698, 699, 700, 701, 726, 729, 771, 772, 773 }

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, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 43, 44, 47, 51, 54, 55, 58, 59, 60, 62, 65, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 108, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 179, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 251, 252, 253, 254, 257, 258, 259, 260, 261, 267, 268, 270, 271, 272, 273, 274, 275, 280, 284, 285, 286, 294, 295, 299, 300, 304, 305, 306, 307, 308, 309, 310, 311, 317, 318, 319, 320, 322, 329, 330, 331, 332, 333, 334, 338, 339, 356, 357, 364, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 403, 404, 405, 406, 407, 409, 410, 411, 412, 413, 414, 415, 416, 417, 420, 421, 422, 423, 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, 520, 521, 522, 523, 524, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 540, 541, 547, 548, 554, 555, 557, 558, 559, 560, 563, 564, 565, 566, 567, 568, 569, 570, 571, 574, 575, 576, 577, 578, 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, 637, 640, 641, 642, 643, 645, 646, 647, 649, 650, 651, 653, 654, 655, 656, 658, 659, 660, 661, 662, 663, 664, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 682, 683, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 705, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 721, 722, 723, 724, 725, 726, 727, 729, 730, 731, 733, 734, 735, 737, 738, 739, 740, 741, 742, 743, 757, 758, 760, 761, 762, 763, 764, 765, 766, 773 }

B grade: { 20, 24, 39, 48, 52, 63, 236, 255, 256, 262, 263, 264, 269, 276, 277, 278, 279, 281, 282, 283, 287, 288, 289, 290, 293, 296, 297, 298, 312, 313, 321, 323, 324, 325, 326, 327, 328, 335, 336, 337, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 358, 399, 400, 408, 418, 419, 424, 425, 636, 638, 639, 644, 648, 652, 657, 665, 681, 684, 704, 706, 720, 728 }

C grade: { 41, 42, 45, 46, 49, 50, 53, 56, 57, 61, 64, 515, 516, 517, 518, 519, 525, 526, 539, 542, 572, 573 }

F grade: { 66, 67, 68, 80, 81, 106, 107, 115, 116, 117, 128, 129, 130, 154, 155, 156, 174, 175, 176, 177, 178, 180, 181, 182, 193, 194, 216, 217, 247, 248, 249, 250, 265, 266, 291, 292, 301, 302, 303, 314, 315, 316, 340, 341, 342, 359, 360, 361, 362, 363, 365, 366, 367, 378, 379, 401, 402, 543, 544, 545, 546, 549, 550, 551, 552, 553, 556, 561, 562, 579, 580, 581, 582, 583, 584, 585, 627, 628, 629, 630, 631, 632, 633, 634, 635, 732, 736, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 759, 767, 768, 769, 770, 771, 772, 774 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 8, 9, 10, 11, 14, 18, 19, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 43, 47, 51, 54, 58, 59, 62, 70, 71, 72, 73, 74, 75, 96, 97, 98, 99, 100, 101, 114, 122, 123, 124, 125, 126, 127, 135, 136, 137, 138, 139, 140, 161, 162, 163, 164, 165, 166, 185, 194, 199, 200, 201, 205, 206, 207, 213, 215, 229, 237, 241, 243, 246, 251, 252, 253, 255, 256, 257, 258, 259, 260, 281, 282, 283, 284, 285, 286, 299, 308, 309, 310, 311, 321, 322, 347, 388, 389, 395, 430, 431, 435, 436, 437, 442, 443, 447, 448, 449, 450, 452, 456, 458, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 497, 498, 499, 500, 505, 506, 507, 508, 509, 520, 521, 522, 527, 528, 529, 530, 532, 533, 535, 536, 537, 540, 555, 563, 564, 565, 569, 571, 575, 590, 598, 617, 618, 620, 621, 622, 623, 624, 630, 632, 636, 639, 640, 641, 642, 644, 645, 646, 647, 648, 650, 651, 654, 655, 656, 657, 658, 663, 664, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 682, 683, 685, 686, 687, 688, 690, 691, 692, 693, 694, 695, 696, 697, 702, 706, 707, 708, 709, 710, 711, 712, 714, 715, 716, 717, 719, 721, 722, 723, 724, 725, 727, 729, 730, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 747, 748, 749, 751, 752, 754, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766 }

B grade: { 20, 24, 35, 37, 38, 39, 312, 313, 323, 324, 325, 326, 348, 349, 350, 351, 352, 547, 554, 631, 637, 638, 649, 652, 653, 662, 665, 666, 703, 704, 718, 720, 728 }

C grade: { 769 }

F grade: { 6, 7, 12, 13, 15, 16, 17, 26, 40, 41, 42, 44, 45, 46, 48, 49, 50, 52, 53, 55, 56, 57, 60, 61, 63, 64, 65, 66, 67, 68, 69, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 128, 129, 130, 131, 132, 133, 134, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 193, 195, 196, 197, 198, 202, 203, 204, 208, 209, 210, 211, 212, 214, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 242, 244, 245, 247, 248, 249, 250, 254, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 300, 301, 302, 303, 304, 305, 306, 307, 314, 315, 316, 317, 318, 319, 320, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 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, 390, 391, 392, 393, 394, 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, 432, 433, 434, 438, 439, 440, 441, 444, 445, 446, 451, 453, 454, 455, 457, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 493, 494, 495, 496, 501, 502, 503, 504, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 523, 524, 525, 526, 531, 534, 538, 539, 541, 542, 543, 544, 545, 546, 548, 549, 550, 551, 552, 553, 556, 557, 558, 559, 560, 561, 562, 566, 567, 568, 570, 572, 573, 574, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 591, 592, 593, 594, 595, 596, 597, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 619, 625, 626, 627, 628, 629, 633, 634, 635, 643, 659, 660, 661, 681, 684, 689, 698, 699, 700, 701, 705, 713, 726, 731, 744, 745, 746, 750, 753, 755, 756, 767, 768, 770, 771, 772, 773, 774 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 43, 47, 51, 54, 58, 62, 65, 70, 71, 72, 73, 75, 82, 83, 84, 85, 86, 87, 88, 97, 98, 99, 101, 114, 122, 135, 161, 185, 194, 195, 196, 197, 198, 199, 200, 201, 205, 206, 207, 213, 214, 215, 229, 230, 231, 237, 238, 239, 240, 241, 243, 244, 245, 246, 251, 252, 253, 255, 256, 257, 258, 259, 260, 267, 268, 269, 270, 271, 272, 273, 286, 308, 321, 347, 373, 382, 383, 384, 385, 386, 387, 388, 389, 390, 395, 396, 413, 414, 415, 420, 421, 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, 456, 457, 458, 474, 476, 478, 480, 482, 484, 486, 488, 490, 492, 494, 496, 498, 500, 502, 504, 505, 506, 507, 508, 509, 529, 530, 535, 536, 537, 543, 548, 549, 550, 555, 556, 575, 576, 577, 586, 590, 594, 598, 599, 600, 601, 605, 609, 613, 614, 615, 616, 617, 618, 621, 622, 623, 630, 637, 640, 641, 642, 643, 645, 646, 647, 648, 649, 650, 651, 653, 654, 655, 656, 658, 659, 660, 661, 662, 663, 664, 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, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 705, 707, 708, 709, 710, 711, 712, 713, 714, 715, 717, 718, 719, 721, 722, 723, 727, 728, 730, 731, 732, 733, 735, 737, 738, 739, 740, 741, 742, 743, 747, 748, 749, 751, 752, 754, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766 }

B grade: { 39, 74, 100, 283, 284, 285, 299, 300, 323, 554, 563, 564, 565, 569, 570, 571, 620, 636, 638, 639, 644, 652, 657, 665, 704, 706, 720, 729, 736 }

C grade: { }

F grade: { 17, 33, 40, 41, 42, 44, 45, 46, 48, 49, 50, 52, 53, 55, 56, 57, 59, 60, 61, 63, 64, 66, 67, 68, 69, 76, 77, 78, 79, 80, 81, 89, 90, 91, 92, 93, 94, 95, 96, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 193, 202, 203, 204, 208, 209, 210, 211, 212, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 232, 233, 234, 235, 236, 242, 247, 248, 249, 250, 254, 261, 262, 263, 264, 265, 266, 274, 275, 276, 277, 278, 279, 280, 281, 282, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 301, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 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, 374, 375, 376, 377, 378, 379, 380, 381, 391, 392, 393, 394, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 416, 417, 418, 419, 422, 423, 424, 425, 453, 454, 455, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499, 501, 503, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 531, 532, 533, 534, 538, 539, 540, 541, 542, 544, 545, 546, 547, 551, 552, 553, 557, 558, 559, 560, 561, 562, 566, 567, 568, 572, 573, 574, 578, 579, 580, 581, 582, 583, 584, 585, 587, 588, 589, 591, 592, 593, 595, 596, 597, 602, 603, 604, 606, 607, 608, 610, 611, 612, 619, 624, 625, 626, 627, 628, 629, 631, 632, 633, 634, 635, 692, 716, 724, 725, 726, 734, 744, 745, 746, 750, 753, 755, 756, 767, 768, 769, 770, 771, 772, 773, 774 }

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 12 12 12 10 12 27 8 12
normalized size 1 1. 1. 0.83 1. 2.25 0.67 1.
time (sec) N/A 0.017 0.006 0.001 1.137 1.448 0.123 1.284


















Problem 2 Optimal Rubi Mathematica Maple 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 12 15 24 8 16
normalized size 1 1. 1. 1. 1.25 2. 0.67 1.33
time (sec) N/A 0.02 0.005 0.002 1.051 1.439 0.124 1.205


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 23 30 50 19 31
normalized size 1 1. 1. 0.96 1.25 2.08 0.79 1.29
time (sec) N/A 0.069 0.012 0.004 1.064 1.466 0.177 1.203


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 19 24 41 14 26
normalized size 1 1. 1. 1. 1.26 2.16 0.74 1.37
time (sec) N/A 0.036 0.006 0.003 1.101 1.472 0.219 1.281


















Problem 5 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 20 0 50 56 26
normalized size 1 1. 0.95 1. 0. 2.5 2.8 1.3
time (sec) N/A 0.02 0.019 0.002 0. 1.541 1.263 1.305


















Problem 6 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 32 32 31 31 0 81 0 41
normalized size 1 1. 0.97 0.97 0. 2.53 0. 1.28
time (sec) N/A 0.07 0.034 0.002 0. 1.547 0. 1.214


















Problem 7 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 27 27 26 27 0 77 0 35
normalized size 1 1. 0.96 1. 0. 2.85 0. 1.3
time (sec) N/A 0.035 0.024 0.003 0. 1.555 0. 1.285


















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 16 16 16 17 22 36 12 23
normalized size 1 1. 1. 1.06 1.38 2.25 0.75 1.44
time (sec) N/A 0.021 0.006 0.001 1.151 1.5 0.128 1.284


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 33 38 55 24 41
normalized size 1 1. 1. 1.18 1.36 1.96 0.86 1.46
time (sec) N/A 0.071 0.009 0.009 1.063 1.479 0.516 1.274


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 24 31 50 17 32
normalized size 1 1. 1. 1.04 1.35 2.17 0.74 1.39
time (sec) N/A 0.036 0.005 0. 1.034 1.505 0.182 1.226


















Problem 11 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 24 24 24 25 0 62 82 32
normalized size 1 1. 1. 1.04 0. 2.58 3.42 1.33
time (sec) N/A 0.023 0.024 0.003 0. 1.551 1.425 1.267


















Problem 12 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 36 36 35 81 0 100 0 82
normalized size 1 1. 0.97 2.25 0. 2.78 0. 2.28
time (sec) N/A 0.073 0.043 0.025 0. 1.597 0. 1.269


















Problem 13 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 31 31 30 32 0 89 0 42
normalized size 1 1. 0.97 1.03 0. 2.87 0. 1.35
time (sec) N/A 0.035 0.03 0.001 0. 1.539 0. 1.228


















Problem 14 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 25 25 24 25 0 66 80 32
normalized size 1 1. 0.96 1. 0. 2.64 3.2 1.28
time (sec) N/A 0.037 0.065 0.001 0. 1.508 3.214 1.212


















Problem 15 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 37 37 36 52 0 66 0 32
normalized size 1 1. 0.97 1.41 0. 1.78 0. 0.86
time (sec) N/A 0.059 0.042 0.015 0. 1.579 0. 1.264


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F(-2) A F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 41 41 0 42 0 122 0 58
normalized size 1 1. 0. 1.02 0. 2.98 0. 1.41
time (sec) N/A 0.065 0.29 0.008 0. 1.561 0. 1.352


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 80 80 0 0 0 186 0 0
normalized size 1 1. 0. 0. 0. 2.32 0. 0.
time (sec) N/A 0.135 0.303 0.802 0. 1.589 0. 0.


















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 22 22 22 21 27 43 20 28
normalized size 1 1. 1. 0.95 1.23 1.95 0.91 1.27
time (sec) N/A 0.032 0.015 0.005 1.195 1.521 0.134 1.344


















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 27 27 24 26 38 70 24 35
normalized size 1 1. 0.89 0.96 1.41 2.59 0.89 1.3
time (sec) N/A 0.034 0.024 0.007 1.064 1.456 0.164 1.303


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 29 82 78 37 27
normalized size 1 1. 1. 1.38 3.9 3.71 1.76 1.29
time (sec) N/A 0.023 0.009 0.006 1.116 1.416 0.124 1.246


















Problem 21 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 34 34 24 29 115 105 51 27
normalized size 1 1. 0.71 0.85 3.38 3.09 1.5 0.79
time (sec) N/A 0.036 0.021 0.006 1.089 1.529 0.147 1.202


















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 31 31 30 26 34 59 29 35
normalized size 1 1. 0.97 0.84 1.1 1.9 0.94 1.13
time (sec) N/A 0.034 0.016 0.003 1.136 1.491 0.141 1.299


















Problem 23 Optimal Rubi Mathematica Maple 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 31 32 46 92 32 43
normalized size 1 1. 0.84 0.86 1.24 2.49 0.86 1.16
time (sec) N/A 0.038 0.026 0.006 1.05 1.488 0.134 1.271


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 33 90 89 41 32
normalized size 1 1. 1. 1.43 3.91 3.87 1.78 1.39
time (sec) N/A 0.027 0.009 0.006 1.029 1.457 0.159 1.25


















Problem 25 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 38 38 28 33 123 117 54 32
normalized size 1 1. 0.74 0.87 3.24 3.08 1.42 0.84
time (sec) N/A 0.037 0.018 0.004 1.12 1.483 0.178 1.342


















Problem 26 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 31 27 43 66 0 39
normalized size 1 1. 0.74 0.64 1.02 1.57 0. 0.93
time (sec) N/A 0.048 0.019 0.016 1.154 1.45 0. 1.264


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 24 20 43 15 20
normalized size 1 1. 1. 1.5 1.25 2.69 0.94 1.25
time (sec) N/A 0.019 0.008 0.009 1.124 1.479 0.126 1.251


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 31 39 41 73 39 41
normalized size 1 1. 0.97 1.22 1.28 2.28 1.22 1.28
time (sec) N/A 0.034 0.018 0.006 1.151 1.485 0.184 1.271


















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 52 52 48 57 63 111 73 63
normalized size 1 1. 0.92 1.1 1.21 2.13 1.4 1.21
time (sec) N/A 0.042 0.025 0.006 1.159 1.492 0.191 1.3


















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 40 40 34 47 43 95 49 51
normalized size 1 1. 0.85 1.18 1.08 2.38 1.22 1.27
time (sec) N/A 0.044 0.038 0.01 1.043 1.534 0.362 1.263


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 49 67 77 198 78 80
normalized size 1 1. 0.8 1.1 1.26 3.25 1.28 1.31
time (sec) N/A 0.057 0.108 0.01 1.101 1.521 0.202 1.286


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 69 86 115 328 114 103
normalized size 1 1. 0.83 1.04 1.39 3.95 1.37 1.24
time (sec) N/A 0.068 0.133 0.01 1.151 1.598 0.236 1.277


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 91 100 397 51 0
normalized size 1 1. 1. 1.82 2. 7.94 1.02 0.
time (sec) N/A 0.078 0.025 0.046 1.591 1.797 1.603 0.


















Problem 34 Optimal Rubi Mathematica Maple 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 34 47 43 72 42 50
normalized size 1 1. 1. 1.38 1.26 2.12 1.24 1.47
time (sec) N/A 0.081 0.017 0.01 1.156 1.785 0.915 1.47


















Problem 35 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 88 88 67 171 171 374 253 104
normalized size 1 1. 0.76 1.94 1.94 4.25 2.88 1.18
time (sec) N/A 0.068 0.064 0.062 1.737 1.887 1.656 1.235


















Problem 36 Optimal Rubi Mathematica Maple 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 76 112 123 218 89
normalized size 1 1. 0.79 1.25 1.84 2.02 3.57 1.46
time (sec) N/A 0.06 0.042 0.016 1.131 1.624 1.676 1.21


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 86 212 211 501 366 165
normalized size 1 1. 0.68 1.67 1.66 3.94 2.88 1.3
time (sec) N/A 0.08 0.062 0.066 1.733 1.627 2.286 1.214


















Problem 38 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 4 4 18 15 4
normalized size 1 1. 1. 1. 1. 4.5 3.75 1.
time (sec) N/A 0.017 0.003 0.003 1.8 1.501 0.105 1.227


















Problem 39 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 4 4 4 4 20 50 15 22
normalized size 1 1. 1. 1. 5. 12.5 3.75 5.5
time (sec) N/A 0.019 0.003 0.002 1.208 1.5 0.107 1.191


















Problem 40 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 27 27 45 34 42 104 0 0
normalized size 1 1. 1.67 1.26 1.56 3.85 0. 0.
time (sec) N/A 0.058 0.032 0.007 1.211 1.524 0. 0.


















Problem 41 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 40 40 60 51 65 154 0 0
normalized size 1 1. 1.5 1.27 1.62 3.85 0. 0.
time (sec) N/A 0.1 0.033 0.006 1.138 1.456 0. 0.


















Problem 42 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 69 69 89 74 96 236 0 0
normalized size 1 1. 1.29 1.07 1.39 3.42 0. 0.
time (sec) N/A 0.121 0.038 0.005 1.203 1.499 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 53 0 190 24 28
normalized size 1 1. 1. 1.77 0. 6.33 0.8 0.93
time (sec) N/A 0.029 0.008 0.028 0. 1.566 0.465 1.249


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 108 134 0 247 0 0
normalized size 1 1. 0.98 1.22 0. 2.25 0. 0.
time (sec) N/A 0.106 0.063 0.041 0. 1.528 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 168 0 0 402 0 0
normalized size 1 1. 0.91 0. 0. 2.18 0. 0.
time (sec) N/A 0.179 0.05 0.04 0. 1.557 0. 0.


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 224 0 0 552 0 0
normalized size 1 1. 0.84 0. 0. 2.06 0. 0.
time (sec) N/A 0.23 0.051 0.036 0. 1.587 0. 0.


















Problem 47 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 59 59 53 82 0 373 53 66
normalized size 1 1. 0.9 1.39 0. 6.32 0.9 1.12
time (sec) N/A 0.039 0.05 0.031 0. 1.53 0.378 1.173


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 271 195 0 670 0 0
normalized size 1 1. 1.58 1.13 0. 3.9 0. 0.
time (sec) N/A 0.158 0.117 0.053 0. 1.537 0. 0.


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 333 333 477 0 0 873 0 0
normalized size 1 1. 1.43 0. 0. 2.62 0. 0.
time (sec) N/A 0.365 0.122 0.133 0. 1.592 0. 0.


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 501 501 434 0 0 1245 0 0
normalized size 1 1. 0.87 0. 0. 2.49 0. 0.
time (sec) N/A 0.514 0.26 0.161 0. 1.642 0. 0.


















Problem 51 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 84 84 68 94 0 593 85 82
normalized size 1 1. 0.81 1.12 0. 7.06 1.01 0.98
time (sec) N/A 0.051 0.05 0.043 0. 1.569 0.469 1.225


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 184 223 0 1068 0 0
normalized size 1 1. 0.83 1. 0. 4.79 0. 0.
time (sec) N/A 0.217 0.306 0.069 0. 1.604 0. 0.


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 420 353 0 0 1747 0 0
normalized size 1 1. 0.84 0. 0. 4.16 0. 0.
time (sec) N/A 0.582 0.49 0.143 0. 1.685 0. 0.


















Problem 54 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 30 30 30 22 0 190 26 28
normalized size 1 1. 1. 0.73 0. 6.33 0.87 0.93
time (sec) N/A 0.021 0.008 0.004 0. 1.622 0.264 1.212


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 108 134 0 247 0 0
normalized size 1 1. 0.98 1.22 0. 2.25 0. 0.
time (sec) N/A 0.095 0.062 0.041 0. 1.729 0. 0.


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 168 0 0 402 0 0
normalized size 1 1. 0.91 0. 0. 2.18 0. 0.
time (sec) N/A 0.167 0.05 0.029 0. 1.928 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 224 0 0 552 0 0
normalized size 1 1. 0.84 0. 0. 2.06 0. 0.
time (sec) N/A 0.22 0.051 0.033 0. 1.783 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 22 22 23 21 31 54 22 27
normalized size 1 1. 1.05 0.95 1.41 2.45 1. 1.23
time (sec) N/A 0.02 0.02 0.001 1.099 1.547 0.247 1.239


















Problem 59 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 63 63 48 56 73 144 54 0
normalized size 1 1. 0.76 0.89 1.16 2.29 0.86 0.
time (sec) N/A 0.078 0.057 0.016 1.064 1.504 0.297 0.


















Problem 60 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 98 98 90 91 117 370 0 0
normalized size 1 1. 0.92 0.93 1.19 3.78 0. 0.
time (sec) N/A 0.169 0.062 0.029 1.109 1.536 0. 0.


















Problem 61 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 128 128 124 119 149 582 0 0
normalized size 1 1. 0.97 0.93 1.16 4.55 0. 0.
time (sec) N/A 0.225 0.081 0.035 1.181 1.51 0. 0.


















Problem 62 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 87 87 70 78 0 586 87 89
normalized size 1 1. 0.8 0.9 0. 6.74 1. 1.02
time (sec) N/A 0.046 0.053 0.008 0. 1.556 0.299 1.244


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 209 209 0 774 0 0
normalized size 1 1. 1.07 1.07 0. 3.95 0. 0.
time (sec) N/A 0.503 0.209 0.062 0. 1.601 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 254 0 0 1474 0 0
normalized size 1 1. 0.8 0. 0. 4.66 0. 0.
time (sec) N/A 1.163 0.467 0.132 0. 1.67 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 93 0 122 385 0 177
normalized size 1 1. 0.98 0. 1.28 4.05 0. 1.86
time (sec) N/A 0.181 0.065 0.027 1.08 1.554 0. 1.194


















Problem 66 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 106 106 92 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.045 0.092 0. 0. 0. 0.


















Problem 67 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 75 75 75 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.135 0.16 0.025 0. 0. 0. 0.


















Problem 68 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 85 85 84 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.132 0.144 0.037 0. 0. 0. 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 140 51 126 0 0
normalized size 1 1. 1. 3.04 1.11 2.74 0. 0.
time (sec) N/A 0.024 0.012 0.035 1.226 1.567 0. 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 24 24 76 124 194 95 107
normalized size 1 0.31 0.31 0.97 1.59 2.49 1.22 1.37
time (sec) N/A 0.025 0.003 0.01 1.166 1.547 0.161 1.322


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 24 24 64 104 161 82 90
normalized size 1 0.37 0.37 0.98 1.6 2.48 1.26 1.38
time (sec) N/A 0.024 0.003 0.008 1.127 1.528 0.253 1.259


















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 86 86 53 52 84 128 68 74
normalized size 1 1. 0.62 0.6 0.98 1.49 0.79 0.86
time (sec) N/A 0.093 0.011 0.006 1.137 1.502 0.142 1.25


















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 62 62 41 40 63 100 54 58
normalized size 1 1. 0.66 0.65 1.02 1.61 0.87 0.94
time (sec) N/A 0.063 0.008 0.007 1.167 1.535 0.125 1.275


















Problem 74 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 29 28 43 72 41 932
normalized size 1 1. 0.66 0.64 0.98 1.64 0.93 21.18
time (sec) N/A 0.038 0.007 0.002 1.131 1.525 0.115 1.291


















Problem 75 Optimal Rubi Mathematica Maple 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 19 24 41 24 24
normalized size 1 1. 1. 0.95 1.2 2.05 1.2 1.2
time (sec) N/A 0.013 0.002 0.002 1.047 1.523 0.121 1.171


















Problem 76 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 15 15 15 16 18 35 0 0
normalized size 1 1. 1. 1.07 1.2 2.33 0. 0.
time (sec) N/A 0.021 0.002 0.011 1.287 1.731 0. 0.


















Problem 77 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 35 35 32 35 24 82 0 0
normalized size 1 1. 0.91 1. 0.69 2.34 0. 0.
time (sec) N/A 0.045 0.01 0.02 1.172 1.836 0. 0.


















Problem 78 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 58 58 48 57 30 113 0 0
normalized size 1 1. 0.83 0.98 0.52 1.95 0. 0.
time (sec) N/A 0.066 0.018 0.026 1.222 1.754 0. 0.


















Problem 79 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 81 81 59 79 30 140 0 0
normalized size 1 1. 0.73 0.98 0.37 1.73 0. 0.
time (sec) N/A 0.091 0.024 0.033 1.249 1.851 0. 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 101 0 0 0 0
normalized size 1 1. 1. 4.21 0. 0. 0. 0.
time (sec) N/A 0.022 0.002 0.044 0. 0. 0. 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 123 0 0 0 0
normalized size 1 1. 1. 5.12 0. 0. 0. 0.
time (sec) N/A 0.023 0.002 0.066 0. 0. 0. 0.


















Problem 82 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 34 34 34 164 171 320 0 157
normalized size 1 1. 1. 4.82 5.03 9.41 0. 4.62
time (sec) N/A 0.023 0.006 0.123 1.048 1.804 0. 1.2


















Problem 83 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 34 34 34 142 151 275 0 140
normalized size 1 1. 1. 4.18 4.44 8.09 0. 4.12
time (sec) N/A 0.023 0.006 0.054 1.077 1.737 0. 1.246


















Problem 84 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 128 128 95 120 131 243 0 124
normalized size 1 1. 0.74 0.94 1.02 1.9 0. 0.97
time (sec) N/A 0.142 0.042 0.039 1.079 1.755 0. 1.221


















Problem 85 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 105 105 83 98 111 209 0 108
normalized size 1 1. 0.79 0.93 1.06 1.99 0. 1.03
time (sec) N/A 0.088 0.035 0.029 1.034 1.753 0. 1.247


















Problem 86 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 82 82 71 76 90 177 0 92
normalized size 1 1. 0.87 0.93 1.1 2.16 0. 1.12
time (sec) N/A 0.059 0.027 0.023 1.141 1.713 0. 1.331


















Problem 87 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 59 59 59 54 72 139 0 77
normalized size 1 1. 1. 0.92 1.22 2.36 0. 1.31
time (sec) N/A 0.034 0.023 0.022 1.056 1.83 0. 1.257


















Problem 88 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 37 26 34 93 0 35
normalized size 1 1. 1. 0.7 0.92 2.51 0. 0.95
time (sec) N/A 0.007 0.005 0.016 1.06 1.784 0. 1.223


















Problem 89 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 49 49 49 44 38 103 0 0
normalized size 1 1. 1. 0.9 0.78 2.1 0. 0.
time (sec) N/A 0.031 0.014 0.022 1.234 1.787 0. 0.


















Problem 90 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 73 73 62 67 38 157 0 0
normalized size 1 1. 0.85 0.92 0.52 2.15 0. 0.
time (sec) N/A 0.055 0.041 0.027 1.207 1.783 0. 0.


















Problem 91 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 96 96 77 89 38 192 0 0
normalized size 1 1. 0.8 0.93 0.4 2. 0. 0.
time (sec) N/A 0.081 0.034 0.034 1.231 1.732 0. 0.


















Problem 92 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 119 119 89 111 38 223 0 0
normalized size 1 1. 0.75 0.93 0.32 1.87 0. 0.
time (sec) N/A 0.108 0.041 0.044 1.176 1.741 0. 0.


















Problem 93 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 34 34 34 133 38 258 0 0
normalized size 1 1. 1. 3.91 1.12 7.59 0. 0.
time (sec) N/A 0.021 0.006 0.058 1.194 1.748 0. 0.


















Problem 94 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 34 34 34 155 38 297 0 0
normalized size 1 1. 1. 4.56 1.12 8.74 0. 0.
time (sec) N/A 0.021 0.005 0.091 1.302 1.827 0. 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 140 51 126 0 0
normalized size 1 1. 1. 3.04 1.11 2.74 0. 0.
time (sec) N/A 0.021 0.011 0.033 1.225 1.772 0. 0.


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 24 24 76 124 196 95 0
normalized size 1 0.31 0.31 0.97 1.59 2.51 1.22 0.
time (sec) N/A 0.022 0.003 0.013 1.232 1.732 0.161 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 24 24 64 104 162 82 142
normalized size 1 0.37 0.37 0.98 1.6 2.49 1.26 2.18
time (sec) N/A 0.023 0.003 0.01 1.033 1.726 0.148 1.236


















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 84 84 53 52 84 128 68 112
normalized size 1 1. 0.63 0.62 1. 1.52 0.81 1.33
time (sec) N/A 0.095 0.011 0.008 1.313 1.795 0.136 1.228


















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 67 67 41 40 63 100 54 82
normalized size 1 1. 0.61 0.6 0.94 1.49 0.81 1.22
time (sec) N/A 0.07 0.009 0.008 1.09 1.825 0.128 1.239


















Problem 100 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 29 28 43 72 41 932
normalized size 1 1. 0.66 0.64 0.98 1.64 0.93 21.18
time (sec) N/A 0.044 0.007 0.005 1.144 1.83 0.122 1.355


















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 20 20 20 19 24 41 24 24
normalized size 1 1. 1. 0.95 1.2 2.05 1.2 1.2
time (sec) N/A 0.022 0.002 0.003 1.072 1.89 0.11 1.246


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 41 18 35 0 0
normalized size 1 1. 1. 2.73 1.2 2.33 0. 0.
time (sec) N/A 0.021 0.002 0.017 1.217 1.71 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 32 97 24 82 0 0
normalized size 1 1. 0.91 2.77 0.69 2.34 0. 0.
time (sec) N/A 0.042 0.009 0.027 1.233 1.795 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 48 141 30 113 0 0
normalized size 1 1. 0.83 2.43 0.52 1.95 0. 0.
time (sec) N/A 0.066 0.019 0.035 1.172 1.767 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 59 177 30 140 0 0
normalized size 1 1. 0.73 2.19 0.37 1.73 0. 0.
time (sec) N/A 0.09 0.023 0.041 1.18 1.735 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 213 0 0 0 0
normalized size 1 1. 1. 8.88 0. 0. 0. 0.
time (sec) N/A 0.021 0.002 0.054 0. 0. 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 249 0 0 0 0
normalized size 1 1. 1. 10.38 0. 0. 0. 0.
time (sec) N/A 0.021 0.002 0.06 0. 0. 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 106 38 139 0 0
normalized size 1 1. 1. 3.12 1.12 4.09 0. 0.
time (sec) N/A 0.023 0.006 0.022 1.204 1.656 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 109 38 134 0 0
normalized size 1 1. 1. 3.21 1.12 3.94 0. 0.
time (sec) N/A 0.022 0.006 0.025 1.272 1.83 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 75 38 86 0 0
normalized size 1 1. 1. 2.21 1.12 2.53 0. 0.
time (sec) N/A 0.013 0.005 0.016 1.298 1.701 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 78 35 86 0 0
normalized size 1 1. 1. 2.44 1.09 2.69 0. 0.
time (sec) N/A 0.004 0.004 0.015 1.29 1.789 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 100 38 96 0 0
normalized size 1 1. 1. 2.94 1.12 2.82 0. 0.
time (sec) N/A 0.022 0.004 0.022 1.232 1.811 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 102 38 107 0 0
normalized size 1 1. 1. 3. 1.12 3.15 0. 0.
time (sec) N/A 0.021 0.004 0.023 1.216 1.71 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple 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 22 7 11
normalized size 1 1. 1. 0.82 1. 2. 0.64 1.
time (sec) N/A 0.014 0.002 0.003 1.184 1.797 0.085 1.241


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 136 47 0 0 0
normalized size 1 1. 1. 3.89 1.34 0. 0. 0.
time (sec) N/A 0.018 0.007 0.036 1.271 0. 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 121 0 0 0 0
normalized size 1 1. 1. 5.5 0. 0. 0. 0.
time (sec) N/A 0.019 0.002 0.073 0. 0. 0. 0.


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 99 0 0 0 0
normalized size 1 1. 1. 4.71 0. 0. 0. 0.
time (sec) N/A 0.02 0.002 0.064 0. 0. 0. 0.


















Problem 118 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 79 79 53 77 30 135 0 0
normalized size 1 1. 0.67 0.97 0.38 1.71 0. 0.
time (sec) N/A 0.059 0.024 0.066 1.169 1.776 0. 0.


















Problem 119 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 56 56 40 55 28 107 0 0
normalized size 1 1. 0.71 0.98 0.5 1.91 0. 0.
time (sec) N/A 0.035 0.017 0.062 1.216 1.754 0. 0.


















Problem 120 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 28 28 28 31 24 68 0 0
normalized size 1 1. 1. 1.11 0.86 2.43 0. 0.
time (sec) N/A 0.022 0.007 0.059 1.364 1.766 0. 0.


















Problem 121 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 13 13 13 15 18 28 0 0
normalized size 1 1. 1. 1.15 1.38 2.15 0. 0.
time (sec) N/A 0.018 0.002 0.056 1.192 1.735 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple 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 39 20 24
normalized size 1 1. 1. 1.06 1.33 2.17 1.11 1.33
time (sec) N/A 0.018 0.003 0. 1.129 1.694 0.113 1.299


















Problem 123 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 39 39 27 49 28 68 22 0
normalized size 1 1. 0.69 1.26 0.72 1.74 0.56 0.
time (sec) N/A 0.036 0.006 0.008 1.193 1.89 0.117 0.


















Problem 124 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 61 61 41 73 30 101 39 0
normalized size 1 1. 0.67 1.2 0.49 1.66 0.64 0.
time (sec) N/A 0.06 0.008 0.012 1.272 1.72 0.134 0.


















Problem 125 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 82 82 53 96 28 130 53 0
normalized size 1 1. 0.65 1.17 0.34 1.59 0.65 0.
time (sec) N/A 0.082 0.01 0.013 1.229 1.696 0.145 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 22 22 119 30 162 66 0
normalized size 1 0.34 0.34 1.83 0.46 2.49 1.02 0.
time (sec) N/A 0.018 0.003 0.013 1.288 1.828 0.156 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 21 21 142 28 194 80 0
normalized size 1 0.27 0.27 1.84 0.36 2.52 1.04 0.
time (sec) N/A 0.019 0.003 0.016 1.161 1.931 0.162 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 169 51 0 0 0
normalized size 1 1. 1. 3.67 1.11 0. 0. 0.
time (sec) N/A 0.024 0.01 0.038 1.392 0. 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 123 0 0 0 0
normalized size 1 1. 1. 5.12 0. 0. 0. 0.
time (sec) N/A 0.025 0.002 0.063 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 101 0 0 0 0
normalized size 1 1. 1. 4.21 0. 0. 0. 0.
time (sec) N/A 0.025 0.002 0.042 0. 0. 0. 0.


















Problem 131 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 81 81 57 79 30 149 0 0
normalized size 1 1. 0.7 0.98 0.37 1.84 0. 0.
time (sec) N/A 0.089 0.02 0.031 1.27 1.917 0. 0.


















Problem 132 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 58 58 44 57 30 117 0 0
normalized size 1 1. 0.76 0.98 0.52 2.02 0. 0.
time (sec) N/A 0.063 0.014 0.026 1.204 1.772 0. 0.


















Problem 133 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 35 35 32 35 24 89 0 0
normalized size 1 1. 0.91 1. 0.69 2.54 0. 0.
time (sec) N/A 0.036 0.005 0.024 1.297 1.693 0. 0.


















Problem 134 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 15 15 15 16 18 36 0 0
normalized size 1 1. 1. 1.07 1.2 2.4 0. 0.
time (sec) N/A 0.023 0.002 0.019 1.267 1.76 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 19 24 50 29 24
normalized size 1 1. 1. 0.95 1.2 2.5 1.45 1.2
time (sec) N/A 0.021 0.004 0.002 1.009 1.765 0.118 1.731


















Problem 136 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 44 44 32 52 30 82 29 0
normalized size 1 1. 0.73 1.18 0.68 1.86 0.66 0.
time (sec) N/A 0.045 0.007 0.011 1.175 1.664 0.122 0.


















Problem 137 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 62 62 45 74 30 115 44 0
normalized size 1 1. 0.73 1.19 0.48 1.85 0.71 0.
time (sec) N/A 0.069 0.009 0.016 1.166 1.655 0.136 0.


















Problem 138 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 86 86 58 98 30 142 58 0
normalized size 1 1. 0.67 1.14 0.35 1.65 0.67 0.
time (sec) N/A 0.096 0.01 0.017 1.262 1.729 0.143 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 24 24 121 30 176 71 0
normalized size 1 0.35 0.35 1.75 0.43 2.55 1.03 0.
time (sec) N/A 0.022 0.003 0.02 1.181 1.652 0.159 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 24 24 144 30 209 85 0
normalized size 1 0.29 0.29 1.76 0.37 2.55 1.04 0.
time (sec) N/A 0.024 0.003 0.023 1.184 1.752 0.169 0.


















Problem 141 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 34 34 34 155 38 298 0 0
normalized size 1 1. 1. 4.56 1.12 8.76 0. 0.
time (sec) N/A 0.024 0.004 0.101 1.206 1.854 0. 0.


















Problem 142 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 34 34 34 133 38 259 0 0
normalized size 1 1. 1. 3.91 1.12 7.62 0. 0.
time (sec) N/A 0.024 0.004 0.054 1.204 1.75 0. 0.


















Problem 143 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 119 119 86 111 38 224 0 0
normalized size 1 1. 0.72 0.93 0.32 1.88 0. 0.
time (sec) N/A 0.125 0.036 0.04 1.226 1.786 0. 0.


















Problem 144 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 96 96 74 89 38 192 0 0
normalized size 1 1. 0.77 0.93 0.4 2. 0. 0.
time (sec) N/A 0.088 0.032 0.033 1.282 1.821 0. 0.


















Problem 145 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 73 73 60 67 38 153 0 0
normalized size 1 1. 0.82 0.92 0.52 2.1 0. 0.
time (sec) N/A 0.061 0.024 0.028 1.166 1.807 0. 0.


















Problem 146 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 49 49 49 44 35 104 0 0
normalized size 1 1. 1. 0.9 0.71 2.12 0. 0.
time (sec) N/A 0.034 0.011 0.024 1.232 1.785 0. 0.


















Problem 147 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 39 39 39 28 46 92 0 0
normalized size 1 1. 1. 0.72 1.18 2.36 0. 0.
time (sec) N/A 0.027 0.006 0.023 1.146 2.025 0. 0.


















Problem 148 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 63 63 63 58 38 151 0 0
normalized size 1 1. 1. 0.92 0.6 2.4 0. 0.
time (sec) N/A 0.053 0.019 0.03 1.225 2.056 0. 0.


















Problem 149 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 86 86 74 80 38 192 0 0
normalized size 1 1. 0.86 0.93 0.44 2.23 0. 0.
time (sec) N/A 0.079 0.049 0.035 1.164 2.049 0. 0.


















Problem 150 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 109 109 86 102 38 227 0 0
normalized size 1 1. 0.79 0.94 0.35 2.08 0. 0.
time (sec) N/A 0.112 0.056 0.044 1.244 2.117 0. 0.


















Problem 151 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 132 132 100 124 38 258 0 0
normalized size 1 1. 0.76 0.94 0.29 1.95 0. 0.
time (sec) N/A 0.16 0.086 0.058 1.224 1.913 0. 0.


















Problem 152 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 34 34 34 146 38 293 0 0
normalized size 1 1. 1. 4.29 1.12 8.62 0. 0.
time (sec) N/A 0.026 0.005 0.08 1.254 1.788 0. 0.


















Problem 153 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 34 34 34 168 38 338 0 0
normalized size 1 1. 1. 4.94 1.12 9.94 0. 0.
time (sec) N/A 0.024 0.006 0.125 1.195 1.82 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 169 51 0 0 0
normalized size 1 1. 1. 3.67 1.11 0. 0. 0.
time (sec) N/A 0.025 0.01 0.037 1.343 0. 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 249 0 0 0 0
normalized size 1 1. 1. 10.38 0. 0. 0. 0.
time (sec) N/A 0.028 0.002 0.056 0. 0. 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 213 0 0 0 0
normalized size 1 1. 1. 8.88 0. 0. 0. 0.
time (sec) N/A 0.033 0.002 0.052 0. 0. 0. 0.


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 57 177 30 149 0 0
normalized size 1 1. 0.7 2.19 0.37 1.84 0. 0.
time (sec) N/A 0.115 0.02 0.043 1.299 1.807 0. 0.


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 44 141 30 117 0 0
normalized size 1 1. 0.76 2.43 0.52 2.02 0. 0.
time (sec) N/A 0.076 0.015 0.04 1.189 1.775 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 32 97 24 88 0 0
normalized size 1 1. 0.91 2.77 0.69 2.51 0. 0.
time (sec) N/A 0.048 0.005 0.034 1.173 1.771 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 41 18 36 0 0
normalized size 1 1. 1. 2.73 1.2 2.4 0. 0.
time (sec) N/A 0.022 0.002 0.029 1.275 1.708 0. 0.


















Problem 161 Optimal Rubi Mathematica Maple 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 19 24 50 29 24
normalized size 1 1. 1. 0.95 1.2 2.5 1.45 1.2
time (sec) N/A 0.022 0.004 0.001 1.115 1.778 0.109 1.334


















Problem 162 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 44 44 32 52 30 82 29 0
normalized size 1 1. 0.73 1.18 0.68 1.86 0.66 0.
time (sec) N/A 0.046 0.007 0.013 1.301 1.762 0.116 0.


















Problem 163 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 67 67 45 75 30 115 44 0
normalized size 1 1. 0.67 1.12 0.45 1.72 0.66 0.
time (sec) N/A 0.07 0.009 0.018 1.122 1.766 0.129 0.


















Problem 164 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 83 83 58 97 30 142 58 0
normalized size 1 1. 0.7 1.17 0.36 1.71 0.7 0.
time (sec) N/A 0.094 0.011 0.022 1.28 1.73 0.144 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 24 24 121 30 178 71 0
normalized size 1 0.35 0.35 1.75 0.43 2.58 1.03 0.
time (sec) N/A 0.023 0.003 0.028 1.308 1.655 0.152 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A C A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 24 24 84 30 211 85 0
normalized size 1 0.29 0.29 1.02 0.37 2.57 1.04 0.
time (sec) N/A 0.023 0.003 0.029 1.187 2.015 0.161 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 120 38 157 0 0
normalized size 1 1. 1. 3.53 1.12 4.62 0. 0.
time (sec) N/A 0.025 0.004 0.036 1.248 2.106 0. 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 115 38 149 0 0
normalized size 1 1. 1. 3.38 1.12 4.38 0. 0.
time (sec) N/A 0.025 0.004 0.034 1.187 2.047 0. 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 105 38 112 0 0
normalized size 1 1. 1. 3.09 1.12 3.29 0. 0.
time (sec) N/A 0.014 0.004 0.029 1.17 2.14 0. 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 98 35 100 0 0
normalized size 1 1. 1. 3.06 1.09 3.12 0. 0.
time (sec) N/A 0.005 0.003 0.029 1.248 1.809 0. 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 82 38 88 0 0
normalized size 1 1. 1. 2.41 1.12 2.59 0. 0.
time (sec) N/A 0.024 0.005 0.03 1.202 1.594 0. 0.


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 78 38 88 0 0
normalized size 1 1. 1. 2.29 1.12 2.59 0. 0.
time (sec) N/A 0.022 0.005 0.03 1.226 1.595 0. 0.


















Problem 173 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 34 34 34 112 38 144 0 0
normalized size 1 1. 1. 3.29 1.12 4.24 0. 0.
time (sec) N/A 0.023 0.005 0.037 1.229 1.634 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 0 63 0 0 0
normalized size 1 1. 1. 0. 1.37 0. 0. 0.
time (sec) N/A 0.026 0.012 0.056 1.228 0. 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0
normalized size 1 1. 1. 0. 1.41 0. 0. 0.
time (sec) N/A 0.025 0.006 0.027 1.229 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0
normalized size 1 1. 1. 0. 1.41 0. 0. 0.
time (sec) N/A 0.025 0.006 0.044 1.246 0. 0. 0.


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0
normalized size 1 1. 1. 0. 1.41 0. 0. 0.
time (sec) N/A 0.015 0.006 0.036 1.265 0. 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 0 47 0 0 0
normalized size 1 1. 1. 0. 1.34 0. 0. 0.
time (sec) N/A 0.004 0.005 0.025 1.24 0. 0. 0.


















Problem 179 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 15 15 15 19 20 32 0 0
normalized size 1 1. 1. 1.27 1.33 2.13 0. 0.
time (sec) N/A 0.023 0.002 0.157 1.141 1.514 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 0 50 0 0 0
normalized size 1 1. 1. 0. 1.35 0. 0. 0.
time (sec) N/A 0.024 0.004 0.038 1.202 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 53 0 0 0
normalized size 1 1. 1. 0. 1.36 0. 0. 0.
time (sec) N/A 0.025 0.004 0.02 1.215 0. 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 53 0 0 0
normalized size 1 1. 1. 0. 1.36 0. 0. 0.
time (sec) N/A 0.024 0.004 0.023 1.198 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 24 44 69 122 0 0
normalized size 1 1. 0.34 0.62 0.97 1.72 0. 0.
time (sec) N/A 0.076 0.004 0.02 1.128 1.534 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 25 56 46 88 0 0
normalized size 1 1. 0.56 1.24 1.02 1.96 0. 0.
time (sec) N/A 0.048 0.004 0.031 1.147 1.556 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple 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 25 27 57 39 27
normalized size 1 1. 1. 1.25 1.35 2.85 1.95 1.35
time (sec) N/A 0.023 0.004 0.022 1.163 1.568 161.134 1.254


















Problem 186 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 15 15 15 19 20 32 0 0
normalized size 1 1. 1. 1.27 1.33 2.13 0. 0.
time (sec) N/A 0.023 0.002 0. 1.269 1.554 0. 0.


















Problem 187 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 38 38 20 43 27 101 0 0
normalized size 1 1. 0.53 1.13 0.71 2.66 0. 0.
time (sec) N/A 0.049 0.004 0.09 1.223 1.579 0. 0.


















Problem 188 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 71 71 25 70 34 149 0 0
normalized size 1 1. 0.35 0.99 0.48 2.1 0. 0.
time (sec) N/A 0.075 0.004 0.098 1.233 1.499 0. 0.


















Problem 189 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 104 104 39 96 45 228 0 0
normalized size 1 1. 0.38 0.92 0.43 2.19 0. 0.
time (sec) N/A 0.11 0.011 0.084 1.204 1.645 0. 0.


















Problem 190 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 74 74 39 67 45 182 0 0
normalized size 1 1. 0.53 0.91 0.61 2.46 0. 0.
time (sec) N/A 0.065 0.009 0.043 1.284 1.603 0. 0.


















Problem 191 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 43 43 43 32 51 109 0 0
normalized size 1 1. 1. 0.74 1.19 2.53 0. 0.
time (sec) N/A 0.036 0.009 0.05 1.142 1.525 0. 0.


















Problem 192 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 66 66 39 59 47 208 0 0
normalized size 1 1. 0.59 0.89 0.71 3.15 0. 0.
time (sec) N/A 0.065 0.007 0.061 1.208 1.61 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 39 88 47 0 0 0
normalized size 1 1. 0.41 0.92 0.49 0. 0. 0.
time (sec) N/A 0.096 0.008 0.054 1.337 0. 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 11 10 12 0 10 14
normalized size 1 1. 0.69 0.62 0.75 0. 0.62 0.88
time (sec) N/A 0.008 0.005 0.003 1.045 0. 0.09 1.217


















Problem 195 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 203 203 96 249 370 270 0 184
normalized size 1 1. 0.47 1.23 1.82 1.33 0. 0.91
time (sec) N/A 0.229 0.106 0.073 1.328 1.6 0. 1.246


















Problem 196 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 140 140 83 168 302 239 0 144
normalized size 1 1. 0.59 1.2 2.16 1.71 0. 1.03
time (sec) N/A 0.129 0.066 0.033 1.401 1.524 0. 1.242


















Problem 197 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 68 68 63 80 182 173 0 104
normalized size 1 1. 0.93 1.18 2.68 2.54 0. 1.53
time (sec) N/A 0.058 0.028 0.027 1.344 1.514 0. 1.227


















Problem 198 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 41 41 41 41 54 117 0 45
normalized size 1 1. 1. 1. 1.32 2.85 0. 1.1
time (sec) N/A 0.008 0.004 0.026 1.141 1.554 0. 1.206


















Problem 199 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.114 0.016 0. 0. 0. 0.


















Problem 200 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 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.307 0.023 0. 0. 0. 0.


















Problem 201 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 135 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.409 0.029 0. 0. 0. 0.


















Problem 202 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 120 120 111 0 0 373 0 0
normalized size 1 1. 0.92 0. 0. 3.11 0. 0.
time (sec) N/A 0.089 0.2 0.025 0. 1.555 0. 0.


















Problem 203 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 92 92 86 0 0 288 0 0
normalized size 1 1. 0.93 0. 0. 3.13 0. 0.
time (sec) N/A 0.049 0.047 0.018 0. 1.567 0. 0.


















Problem 204 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 44 44 44 0 0 151 0 0
normalized size 1 1. 1. 0. 0. 3.43 0. 0.
time (sec) N/A 0.006 0.009 0.016 0. 1.523 0. 0.


















Problem 205 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.296 0.016 0. 0. 0. 0.


















Problem 206 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 132 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.302 1.088 0.023 0. 0. 0. 0.


















Problem 207 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 261 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.449 1.389 0.03 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 164 0 0 348 0 0
normalized size 1 1. 0.9 0. 0. 1.9 0. 0.
time (sec) N/A 0.183 0.18 0.025 0. 1.511 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 138 0 0 312 0 0
normalized size 1 1. 1. 0. 0. 2.26 0. 0.
time (sec) N/A 0.149 0.135 0.019 0. 1.515 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 89 0 0 277 0 0
normalized size 1 1. 0.9 0. 0. 2.8 0. 0.
time (sec) N/A 0.121 0.081 0.017 0. 1.551 0. 0.


















Problem 211 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 80 80 74 0 0 203 0 0
normalized size 1 1. 0.92 0. 0. 2.54 0. 0.
time (sec) N/A 0.068 0.031 0.015 0. 1.467 0. 0.


















Problem 212 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 38 38 38 0 0 101 0 0
normalized size 1 1. 1. 0. 0. 2.66 0. 0.
time (sec) N/A 0.009 0.005 0.011 0. 1.478 0. 0.


















Problem 213 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.24 0.013 0. 0. 0. 0.


















Problem 214 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.181 0.027 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple 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 26 29 26 58 34 28
normalized size 1 1. 0.65 0.72 0.65 1.45 0.85 0.7
time (sec) N/A 0.012 0.012 0.003 1.051 1.452 0.182 1.265


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 241 517 0 0 0 0
normalized size 1 1. 0.83 1.78 0. 0. 0. 0.
time (sec) N/A 0.288 0.19 0.112 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 179 359 0 0 0 0
normalized size 1 1. 0.67 1.33 0. 0. 0. 0.
time (sec) N/A 0.254 0.154 0.081 0. 0. 0. 0.


















Problem 218 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 229 229 128 227 0 263 0 0
normalized size 1 1. 0.56 0.99 0. 1.15 0. 0.
time (sec) N/A 0.223 0.113 0.072 0. 1.546 0. 0.


















Problem 219 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 120 120 82 126 0 163 0 0
normalized size 1 1. 0.68 1.05 0. 1.36 0. 0.
time (sec) N/A 0.116 0.066 0.068 0. 1.552 0. 0.


















Problem 220 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 41 41 41 52 0 89 0 0
normalized size 1 1. 1. 1.27 0. 2.17 0. 0.
time (sec) N/A 0.029 0.015 0.06 0. 1.517 0. 0.


















Problem 221 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 41 41 41 47 0 89 0 0
normalized size 1 1. 1. 1.15 0. 2.17 0. 0.
time (sec) N/A 0.131 0.031 0.112 0. 1.567 0. 0.


















Problem 222 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 68 68 68 80 0 131 0 0
normalized size 1 1. 1. 1.18 0. 1.93 0. 0.
time (sec) N/A 0.397 0.102 0.093 0. 1.54 0. 0.


















Problem 223 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 166 166 115 226 0 238 0 0
normalized size 1 1. 0.69 1.36 0. 1.43 0. 0.
time (sec) N/A 0.718 0.185 0.097 0. 1.547 0. 0.


















Problem 224 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 415 415 195 343 0 481 0 0
normalized size 1 1. 0.47 0.83 0. 1.16 0. 0.
time (sec) N/A 0.435 0.203 0.076 0. 1.856 0. 0.


















Problem 225 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 291 291 148 228 0 366 0 0
normalized size 1 1. 0.51 0.78 0. 1.26 0. 0.
time (sec) N/A 0.304 0.137 0.046 0. 1.935 0. 0.


















Problem 226 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 206 206 131 175 0 312 0 0
normalized size 1 1. 0.64 0.85 0. 1.51 0. 0.
time (sec) N/A 0.215 0.103 0.04 0. 1.888 0. 0.


















Problem 227 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 111 111 89 93 0 248 0 0
normalized size 1 1. 0.8 0.84 0. 2.23 0. 0.
time (sec) N/A 0.119 0.053 0.032 0. 1.827 0. 0.


















Problem 228 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 62 62 62 65 0 158 0 0
normalized size 1 1. 1. 1.05 0. 2.55 0. 0.
time (sec) N/A 0.039 0.02 0.025 0. 1.565 0. 0.


















Problem 229 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.07 0.034 0. 0. 0. 0.


















Problem 230 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.214 0.048 0. 0. 0. 0.


















Problem 231 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.576 0.064 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 219 0 0 585 0 0
normalized size 1 1. 0.92 0. 0. 2.45 0. 0.
time (sec) N/A 0.201 0.193 0.046 0. 1.609 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 167 0 0 516 0 0
normalized size 1 1. 0.91 0. 0. 2.8 0. 0.
time (sec) N/A 0.149 0.363 0.042 0. 1.638 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 127 0 0 450 0 0
normalized size 1 1. 0.89 0. 0. 3.17 0. 0.
time (sec) N/A 0.118 0.064 0.037 0. 1.599 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 86 0 0 354 0 0
normalized size 1 1. 0.93 0. 0. 3.85 0. 0.
time (sec) N/A 0.052 0.067 0.033 0. 1.579 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 0 0 208 0 0
normalized size 1 1. 1. 0. 0. 4.73 0. 0.
time (sec) N/A 0.005 0.008 0.025 0. 1.549 0. 0.


















Problem 237 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.061 0.03 0. 0. 0. 0.


















Problem 238 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.29 0.042 0. 0. 0. 0.


















Problem 239 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.036 0.059 0. 0. 0. 0.


















Problem 240 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.241 0.036 0. 0. 0. 0.


















Problem 241 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 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.14 0.033 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 36 117 49 105 0 0
normalized size 1 1. 0.88 2.85 1.2 2.56 0. 0.
time (sec) N/A 0.022 0.008 0.036 1.26 1.532 0. 0.


















Problem 243 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.042 0.039 0. 0. 0. 0.


















Problem 244 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.082 0.043 0. 0. 0. 0.


















Problem 245 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.077 0.051 0. 0. 0. 0.


















Problem 246 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.052 0.027 0. 0. 0. 0.


















Problem 247 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 207 207 183 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.15 0.018 0. 0. 0. 0.


















Problem 248 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 154 154 136 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.108 0.069 0.043 0. 0. 0. 0.


















Problem 249 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 99 99 91 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.033 0.031 0. 0. 0. 0.


















Problem 250 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 47 47 47 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.006 0.006 0.023 0. 0. 0. 0.


















Problem 251 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.035 0.015 0. 0. 0. 0.


















Problem 252 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.032 0.04 0. 0. 0. 0.


















Problem 253 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 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.035 0.013 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 0 0 163 0 0
normalized size 1 1. 1. 0. 0. 2.67 0. 0.
time (sec) N/A 0.065 0.036 0.057 0. 1.587 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B C B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 31 31 579 7426 999 796 196
normalized size 1 0.3 0.3 5.51 70.72 9.51 7.58 1.87
time (sec) N/A 0.073 0.008 0.021 3.58 1.548 0.399 1.331


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B C B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 31 31 396 5261 687 558 167
normalized size 1 0.35 0.35 4.5 59.78 7.81 6.34 1.9
time (sec) N/A 0.069 0.008 0.015 3.095 1.564 0.319 1.318


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B C A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 72 249 3461 446 366 139
normalized size 1 1. 0.57 1.98 27.47 3.54 2.9 1.1
time (sec) N/A 0.256 0.041 0.009 2.707 1.58 0.262 1.673


















Problem 258 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 91 91 56 138 2030 265 214 111
normalized size 1 1. 0.62 1.52 22.31 2.91 2.35 1.22
time (sec) N/A 0.176 0.033 0.005 2.152 1.543 0.213 1.27


















Problem 259 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 62 62 40 63 965 142 100 82
normalized size 1 1. 0.65 1.02 15.56 2.29 1.61 1.32
time (sec) N/A 0.105 0.022 0.007 1.688 1.497 0.172 1.271


















Problem 260 Optimal Rubi Mathematica Maple 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 27 36 34 76 36 34
normalized size 1 1. 1. 1.33 1.26 2.81 1.33 1.26
time (sec) N/A 0.036 0.007 0.003 1.016 1.536 0.137 1.223


















Problem 261 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 22 22 22 23 0 73 0 0
normalized size 1 1. 1. 1.05 0. 3.32 0. 0.
time (sec) N/A 0.068 0.006 0.021 0. 1.509 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 47 53 0 220 0 0
normalized size 1 1. 0.89 1. 0. 4.15 0. 0.
time (sec) N/A 0.132 0.039 0.034 0. 1.533 0. 0.


















Problem 263 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 87 87 64 86 0 389 0 0
normalized size 1 1. 0.74 0.99 0. 4.47 0. 0.
time (sec) N/A 0.198 0.077 0.048 0. 1.55 0. 0.


















Problem 264 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 121 121 79 119 0 616 0 0
normalized size 1 1. 0.65 0.98 0. 5.09 0. 0.
time (sec) N/A 0.258 0.094 0.064 0. 1.525 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 152 0 0 0 0
normalized size 1 1. 1. 4.9 0. 0. 0. 0.
time (sec) N/A 0.063 0.007 0.091 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 185 0 0 0 0
normalized size 1 1. 1. 5.97 0. 0. 0. 0.
time (sec) N/A 0.064 0.007 0.137 0. 0. 0. 0.


















Problem 267 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 49 49 49 1896 8659 1355 0 263
normalized size 1 1. 1. 38.69 176.71 27.65 0. 5.37
time (sec) N/A 0.066 0.028 0.504 3.669 1.639 0. 1.299


















Problem 268 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 49 49 49 1359 6310 992 0 235
normalized size 1 1. 1. 27.73 128.78 20.24 0. 4.8
time (sec) N/A 0.067 0.025 0.222 3.17 1.6 0. 1.223


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 153 914 4327 713 0 207
normalized size 1 1. 0.85 5.11 24.17 3.98 0. 1.16
time (sec) N/A 0.331 0.371 0.123 2.636 1.596 0. 1.303


















Problem 270 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 145 145 126 561 2712 493 0 178
normalized size 1 1. 0.87 3.87 18.7 3.4 0. 1.23
time (sec) N/A 0.23 0.144 0.081 2.161 1.524 0. 1.271


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 90 300 1463 331 0 150
normalized size 1 1. 0.81 2.7 13.18 2.98 0. 1.35
time (sec) N/A 0.154 0.094 0.056 1.786 1.537 0. 1.34


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 131 583 220 0 123
normalized size 1 1. 1. 1.7 7.57 2.86 0. 1.6
time (sec) N/A 0.082 0.043 0.043 1.402 1.578 0. 1.211


















Problem 273 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 44 58 78 123 0 49
normalized size 1 1. 1. 1.32 1.77 2.8 0. 1.11
time (sec) N/A 0.011 0.006 0.028 1.028 1.546 0. 1.227


















Problem 274 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 67 67 63 62 0 192 0 0
normalized size 1 1. 0.94 0.93 0. 2.87 0. 0.
time (sec) N/A 0.079 0.045 0.049 0. 1.53 0. 0.


















Problem 275 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 102 102 81 96 0 373 0 0
normalized size 1 1. 0.79 0.94 0. 3.66 0. 0.
time (sec) N/A 0.145 0.097 0.049 0. 1.564 0. 0.


















Problem 276 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 136 136 97 129 0 621 0 0
normalized size 1 1. 0.71 0.95 0. 4.57 0. 0.
time (sec) N/A 0.219 0.12 0.064 0. 1.525 0. 0.


















Problem 277 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 170 170 112 162 0 913 0 0
normalized size 1 1. 0.66 0.95 0. 5.37 0. 0.
time (sec) N/A 0.286 0.152 0.09 0. 1.609 0. 0.


















Problem 278 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 49 49 49 195 0 1273 0 0
normalized size 1 1. 1. 3.98 0. 25.98 0. 0.
time (sec) N/A 0.061 0.03 0.122 0. 1.77 0. 0.


















Problem 279 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 49 49 49 228 0 1729 0 0
normalized size 1 1. 1. 4.65 0. 35.29 0. 0.
time (sec) N/A 0.062 0.03 0.182 0. 2.059 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 0 0 188 0 0
normalized size 1 1. 1. 0. 0. 3.08 0. 0.
time (sec) N/A 0.061 0.04 0.057 0. 1.906 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 31 31 857 1712 1513 1171 0
normalized size 1 0.3 0.3 8.16 16.3 14.41 11.15 0.
time (sec) N/A 0.067 0.01 0.023 1.671 1.891 0.549 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 31 31 584 1180 1019 823 0
normalized size 1 0.35 0.35 6.64 13.41 11.58 9.35 0.
time (sec) N/A 0.067 0.009 0.019 1.714 1.848 0.44 0.


















Problem 283 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 124 124 75 365 749 640 537 1782
normalized size 1 1. 0.6 2.94 6.04 5.16 4.33 14.37
time (sec) N/A 0.284 0.061 0.013 1.603 1.735 0.349 1.324


















Problem 284 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 96 96 56 200 416 371 306 952
normalized size 1 1. 0.58 2.08 4.33 3.86 3.19 9.92
time (sec) N/A 0.209 0.042 0.008 1.589 1.535 0.275 1.281


















Problem 285 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 62 62 40 89 180 190 144 1203
normalized size 1 1. 0.65 1.44 2.9 3.06 2.32 19.4
time (sec) N/A 0.138 0.025 0.007 1.566 1.563 0.21 1.421


















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 27 27 27 48 34 100 46 34
normalized size 1 1. 1. 1.78 1.26 3.7 1.7 1.26
time (sec) N/A 0.067 0.008 0.005 1.025 1.549 0.159 1.228


















Problem 287 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 22 22 22 0 0 97 0 0
normalized size 1 1. 1. 0. 0. 4.41 0. 0.
time (sec) N/A 0.066 0.006 0.036 0. 1.631 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 47 0 0 315 0 0
normalized size 1 1. 0.89 0. 0. 5.94 0. 0.
time (sec) N/A 0.125 0.032 0.054 0. 1.498 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 64 0 0 567 0 0
normalized size 1 1. 0.74 0. 0. 6.52 0. 0.
time (sec) N/A 0.193 0.076 0.084 0. 1.589 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 80 0 0 907 0 0
normalized size 1 1. 0.66 0. 0. 7.5 0. 0.
time (sec) N/A 0.26 0.1 0.101 0. 1.555 0. 0.


















Problem 291 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 31 31 31 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.008 0.154 0. 0. 0. 0.


















Problem 292 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 31 31 31 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.008 0.187 0. 0. 0. 0.


















Problem 293 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 49 49 49 0 0 282 0 0
normalized size 1 1. 1. 0. 0. 5.76 0. 0.
time (sec) N/A 0.064 0.025 0.047 0. 1.626 0. 0.


















Problem 294 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 49 49 49 0 0 157 0 0
normalized size 1 1. 1. 0. 0. 3.2 0. 0.
time (sec) N/A 0.041 0.023 0.026 0. 1.581 0. 0.


















Problem 295 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 47 47 47 0 0 157 0 0
normalized size 1 1. 1. 0. 0. 3.34 0. 0.
time (sec) N/A 0.007 0.016 0.017 0. 1.544 0. 0.


















Problem 296 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 49 49 49 0 0 250 0 0
normalized size 1 1. 1. 0. 0. 5.1 0. 0.
time (sec) N/A 0.064 0.016 0.04 0. 1.549 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 301 0 0
normalized size 1 1. 1. 0. 0. 6.14 0. 0.
time (sec) N/A 0.063 0.017 0.044 0. 1.541 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 501 0 0
normalized size 1 1. 1. 0. 0. 10.22 0. 0.
time (sec) N/A 0.063 0.023 0.054 0. 1.618 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 42 0 58 117 76 1436
normalized size 1 1. 0.66 0. 0.91 1.83 1.19 22.44
time (sec) N/A 0.032 0.034 0.005 1.013 1.522 0.757 2.132


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 60 0 84 167 0 1804
normalized size 1 1. 0.6 0. 0.84 1.67 0. 18.04
time (sec) N/A 0.064 0.041 0.005 1.014 1.573 0. 1.528


















Problem 301 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 50 50 50 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.018 0.069 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 534 0 0 0 0
normalized size 1 1. 1. 18.41 0. 0. 0. 0.
time (sec) N/A 0.045 0.006 0.122 0. 0. 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 368 0 0 0 0
normalized size 1 1. 1. 13.14 0. 0. 0. 0.
time (sec) N/A 0.044 0.006 0.086 0. 0. 0. 0.


















Problem 304 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 119 119 76 234 0 270 0 0
normalized size 1 1. 0.64 1.97 0. 2.27 0. 0.
time (sec) N/A 0.133 0.068 0.085 0. 1.567 0. 0.


















Problem 305 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 85 85 58 133 0 180 0 0
normalized size 1 1. 0.68 1.56 0. 2.12 0. 0.
time (sec) N/A 0.08 0.046 0.083 0. 1.597 0. 0.


















Problem 306 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 46 46 42 61 0 116 0 0
normalized size 1 1. 0.91 1.33 0. 2.52 0. 0.
time (sec) N/A 0.052 0.025 0.076 0. 1.539 0. 0.


















Problem 307 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 20 20 20 22 0 42 0 0
normalized size 1 1. 1. 1.1 0. 2.1 0. 0.
time (sec) N/A 0.044 0.005 0.079 0. 1.602 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 26 34 63 34 34
normalized size 1 1. 1. 1.04 1.36 2.52 1.36 1.36
time (sec) N/A 0.042 0.007 0.003 1. 1.542 0.372 1.34


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 41 106 0 117 44 0
normalized size 1 1. 0.72 1.86 0. 2.05 0.77 0.
time (sec) N/A 0.085 0.017 0.021 0. 1.592 0.198 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 60 169 0 212 102 0
normalized size 1 1. 0.67 1.88 0. 2.36 1.13 0.
time (sec) N/A 0.133 0.025 0.028 0. 1.625 0.236 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 76 243 0 328 177 0
normalized size 1 1. 0.62 1.99 0. 2.69 1.45 0.
time (sec) N/A 0.185 0.034 0.038 0. 1.574 0.275 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 29 29 329 0 479 272 0
normalized size 1 0.32 0.32 3.58 0. 5.21 2.96 0.
time (sec) N/A 0.049 0.006 0.048 0. 1.662 0.318 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 28 28 427 0 663 388 0
normalized size 1 0.26 0.26 3.95 0. 6.14 3.59 0.
time (sec) N/A 0.053 0.006 0.059 0. 1.654 0.361 0.


















Problem 314 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 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.034 0.08 0. 0. 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 961 0 0 0 0
normalized size 1 1. 1. 31. 0. 0. 0. 0.
time (sec) N/A 0.052 0.008 0.096 0. 0. 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 646 0 0 0 0
normalized size 1 1. 1. 20.84 0. 0. 0. 0.
time (sec) N/A 0.051 0.008 0.064 0. 0. 0. 0.


















Problem 317 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 121 121 96 395 0 486 0 0
normalized size 1 1. 0.79 3.26 0. 4.02 0. 0.
time (sec) N/A 0.186 0.166 0.05 0. 1.666 0. 0.


















Problem 318 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 87 87 71 208 0 315 0 0
normalized size 1 1. 0.82 2.39 0. 3.62 0. 0.
time (sec) N/A 0.124 0.042 0.04 0. 1.621 0. 0.


















Problem 319 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 53 53 47 86 0 211 0 0
normalized size 1 1. 0.89 1.62 0. 3.98 0. 0.
time (sec) N/A 0.071 0.023 0.03 0. 1.6 0. 0.


















Problem 320 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 22 22 22 23 0 69 0 0
normalized size 1 1. 1. 1.05 0. 3.14 0. 0.
time (sec) N/A 0.045 0.006 0.026 0. 1.61 0. 0.


















Problem 321 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 27 26 34 115 54 34
normalized size 1 1. 1. 0.96 1.26 4.26 2. 1.26
time (sec) N/A 0.043 0.009 0.005 0.991 1.577 0.44 1.183


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 47 185 136 217 82 0
normalized size 1 1. 0.76 2.98 2.19 3.5 1.32 0.
time (sec) N/A 0.087 0.025 0.037 1.074 1.544 0.27 0.


















Problem 323 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 91 91 64 301 281 386 189 2236
normalized size 1 1. 0.7 3.31 3.09 4.24 2.08 24.57
time (sec) N/A 0.137 0.033 0.061 1.028 1.811 0.351 1.342


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 81 444 471 610 333 0
normalized size 1 1. 0.64 3.52 3.74 4.84 2.64 0.
time (sec) N/A 0.191 0.042 0.093 1.05 2.007 0.431 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 31 31 609 710 907 518 0
normalized size 1 0.32 0.32 6.34 7.4 9.45 5.4 0.
time (sec) N/A 0.045 0.007 0.145 1.084 1.975 0.537 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 31 31 797 999 1283 745 0
normalized size 1 0.27 0.27 7.05 8.84 11.35 6.59 0.
time (sec) N/A 0.046 0.007 0.189 1.074 2.178 0.763 0.


















Problem 327 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 49 49 49 1173 0 1285 0 0
normalized size 1 1. 1. 23.94 0. 26.22 0. 0.
time (sec) N/A 0.048 0.029 0.14 0. 1.683 0. 0.


















Problem 328 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 49 49 49 826 0 934 0 0
normalized size 1 1. 1. 16.86 0. 19.06 0. 0.
time (sec) N/A 0.049 0.026 0.079 0. 1.641 0. 0.


















Problem 329 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 170 170 113 543 0 663 0 0
normalized size 1 1. 0.66 3.19 0. 3.9 0. 0.
time (sec) N/A 0.234 0.128 0.059 0. 1.61 0. 0.


















Problem 330 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 136 136 97 324 0 458 0 0
normalized size 1 1. 0.71 2.38 0. 3.37 0. 0.
time (sec) N/A 0.168 0.096 0.046 0. 1.688 0. 0.


















Problem 331 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 102 102 79 169 0 306 0 0
normalized size 1 1. 0.77 1.66 0. 3. 0. 0.
time (sec) N/A 0.116 0.076 0.036 0. 1.554 0. 0.


















Problem 332 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 67 67 63 74 0 209 0 0
normalized size 1 1. 0.94 1.1 0. 3.12 0. 0.
time (sec) N/A 0.064 0.034 0.029 0. 1.542 0. 0.


















Problem 333 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 46 46 46 35 0 116 0 0
normalized size 1 1. 1. 0.76 0. 2.52 0. 0.
time (sec) N/A 0.054 0.009 0.031 0. 1.54 0. 0.


















Problem 334 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 81 81 81 76 0 275 0 0
normalized size 1 1. 1. 0.94 0. 3.4 0. 0.
time (sec) N/A 0.102 0.046 0.054 0. 1.544 0. 0.


















Problem 335 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 115 115 95 109 0 443 0 0
normalized size 1 1. 0.83 0.95 0. 3.85 0. 0.
time (sec) N/A 0.151 0.093 0.078 0. 1.651 0. 0.


















Problem 336 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 149 149 111 142 0 670 0 0
normalized size 1 1. 0.74 0.95 0. 4.5 0. 0.
time (sec) N/A 0.208 0.128 0.113 0. 1.685 0. 0.


















Problem 337 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 183 183 127 175 0 950 0 0
normalized size 1 1. 0.69 0.96 0. 5.19 0. 0.
time (sec) N/A 0.265 0.154 0.155 0. 1.792 0. 0.


















Problem 338 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 49 49 49 208 0 1300 0 0
normalized size 1 1. 1. 4.24 0. 26.53 0. 0.
time (sec) N/A 0.045 0.041 0.254 0. 2.011 0. 0.


















Problem 339 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 49 49 49 241 0 1750 0 0
normalized size 1 1. 1. 4.92 0. 35.71 0. 0.
time (sec) N/A 0.045 0.026 0.341 0. 2.082 0. 0.


















Problem 340 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 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.038 0.094 0. 0. 0. 0.


















Problem 341 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 31 31 31 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.01 0.146 0. 0. 0. 0.


















Problem 342 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 31 31 31 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.009 0.114 0. 0. 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 96 0 0 707 0 0
normalized size 1 1. 0.79 0. 0. 5.84 0. 0.
time (sec) N/A 0.191 0.207 0.095 0. 1.688 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 71 0 0 454 0 0
normalized size 1 1. 0.82 0. 0. 5.22 0. 0.
time (sec) N/A 0.139 0.06 0.083 0. 1.692 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 47 0 0 300 0 0
normalized size 1 1. 0.89 0. 0. 5.66 0. 0.
time (sec) N/A 0.091 0.036 0.07 0. 1.672 0. 0.


















Problem 346 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 22 22 22 0 0 90 0 0
normalized size 1 1. 1. 0. 0. 4.09 0. 0.
time (sec) N/A 0.044 0.007 0.048 0. 1.623 0. 0.


















Problem 347 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 27 26 34 161 66 34
normalized size 1 1. 1. 0.96 1.26 5.96 2.44 1.26
time (sec) N/A 0.043 0.012 0.003 0.974 1.578 0.521 1.388


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 47 261 194 312 114 0
normalized size 1 1. 0.76 4.21 3.13 5.03 1.84 0.
time (sec) N/A 0.087 0.029 0.061 1.034 1.593 0.339 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 64 434 405 563 270 0
normalized size 1 1. 0.67 4.52 4.22 5.86 2.81 0.
time (sec) N/A 0.135 0.044 0.112 1.051 1.625 0.47 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 73 641 684 900 484 0
normalized size 1 1. 0.59 5.21 5.56 7.32 3.93 0.
time (sec) N/A 0.186 0.033 0.185 1.085 1.816 0.629 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 31 31 889 1040 1381 760 0
normalized size 1 0.32 0.32 9.26 10.83 14.39 7.92 0.
time (sec) N/A 0.044 0.009 0.29 1.11 2.02 1.066 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 31 31 733 1465 1979 1096 0
normalized size 1 0.27 0.27 6.49 12.96 17.51 9.7 0.
time (sec) N/A 0.045 0.008 0.041 1.175 2.42 3.413 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 402 0 0
normalized size 1 1. 1. 0. 0. 8.2 0. 0.
time (sec) N/A 0.048 0.028 0.072 0. 1.589 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 313 0 0
normalized size 1 1. 1. 0. 0. 6.39 0. 0.
time (sec) N/A 0.027 0.021 0.058 0. 1.633 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 0 0 284 0 0
normalized size 1 1. 1. 0. 0. 6.04 0. 0.
time (sec) N/A 0.007 0.012 0.029 0. 1.625 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 147 0 0
normalized size 1 1. 1. 0. 0. 3. 0. 0.
time (sec) N/A 0.046 0.028 0.053 0. 1.624 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 144 0 0
normalized size 1 1. 1. 0. 0. 2.94 0. 0.
time (sec) N/A 0.044 0.028 0.059 0. 1.591 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 0 0 350 0 0
normalized size 1 1. 1. 0. 0. 7.14 0. 0.
time (sec) N/A 0.044 0.036 0.077 0. 1.683 0. 0.


















Problem 359 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 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.021 0.067 0. 0. 0. 0.


















Problem 360 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.015 0.046 0. 0. 0. 0.


















Problem 361 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.013 0.067 0. 0. 0. 0.


















Problem 362 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 0.012 0.052 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.007 0.009 0.024 0. 0. 0. 0.


















Problem 364 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 22 22 22 26 0 49 0 0
normalized size 1 1. 1. 1.18 0. 2.23 0. 0.
time (sec) N/A 0.035 0.004 0.31 0. 1.571 0. 0.


















Problem 365 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 52 52 52 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.012 0.066 0. 0. 0. 0.


















Problem 366 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.01 0.032 0. 0. 0. 0.


















Problem 367 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.01 0.031 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 32 32 113 174 298 0 0
normalized size 1 0.28 0.28 0.99 1.53 2.61 0. 0.
time (sec) N/A 0.038 0.007 0.027 1.024 1.62 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 31 31 95 146 250 0 0
normalized size 1 0.33 0.33 1.01 1.55 2.66 0. 0.
time (sec) N/A 0.04 0.007 0.022 1.032 1.574 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 32 77 117 201 0 0
normalized size 1 1. 0.23 0.56 0.85 1.47 0. 0.
time (sec) N/A 0.168 0.006 0.019 1.043 1.602 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 31 59 89 157 0 0
normalized size 1 1. 0.31 0.59 0.89 1.57 0. 0.
time (sec) N/A 0.12 0.007 0.02 1.045 1.567 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 32 74 61 112 0 0
normalized size 1 1. 0.51 1.17 0.97 1.78 0. 0.
time (sec) N/A 0.074 0.006 0.056 1.015 1.578 0. 0.


















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 27 27 27 32 36 70 0 36
normalized size 1 1. 1. 1.19 1.33 2.59 0. 1.33
time (sec) N/A 0.037 0.007 0.034 0.968 1.531 0. 1.408


















Problem 374 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 22 22 22 26 0 49 0 0
normalized size 1 1. 1. 1.18 0. 2.23 0. 0.
time (sec) N/A 0.036 0.002 0. 0. 1.58 0. 0.


















Problem 375 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 56 56 27 61 0 147 0 0
normalized size 1 1. 0.48 1.09 0. 2.62 0. 0.
time (sec) N/A 0.073 0.006 0.12 0. 1.506 0. 0.


















Problem 376 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 100 100 32 99 0 205 0 0
normalized size 1 1. 0.32 0.99 0. 2.05 0. 0.
time (sec) N/A 0.114 0.007 0.129 0. 1.583 0. 0.


















Problem 377 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 139 139 31 137 0 247 0 0
normalized size 1 1. 0.22 0.99 0. 1.78 0. 0.
time (sec) N/A 0.164 0.007 0.089 0. 1.55 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 175 0 0 0 0
normalized size 1 1. 1. 5.47 0. 0. 0. 0.
time (sec) N/A 0.043 0.007 0.089 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 213 0 0 0 0
normalized size 1 1. 1. 6.87 0. 0. 0. 0.
time (sec) N/A 0.039 0.007 0.095 0. 0. 0. 0.


















Problem 380 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 47 47 47 36 0 128 0 0
normalized size 1 1. 1. 0.77 0. 2.72 0. 0.
time (sec) N/A 0.065 0.012 0.177 0. 1.652 0. 0.


















Problem 381 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 47 47 47 34 0 124 0 0
normalized size 1 1. 1. 0.72 0. 2.64 0. 0.
time (sec) N/A 0.048 0.007 0.079 0. 1.603 0. 0.


















Problem 382 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 518 518 412 1657 2030 1118 0 1272
normalized size 1 1. 0.8 3.2 3.92 2.16 0. 2.46
time (sec) N/A 0.943 0.606 0.089 1.906 1.667 0. 1.297


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 389 220 1063 1463 775 0 869
normalized size 1 1. 0.57 2.73 3.76 1.99 0. 2.23
time (sec) N/A 0.654 0.419 0.075 1.717 1.666 0. 1.247


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 148 617 965 467 0 575
normalized size 1 1. 0.57 2.39 3.74 1.81 0. 2.23
time (sec) N/A 0.436 0.227 0.063 1.538 1.558 0. 1.306


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 105 324 583 324 0 348
normalized size 1 1. 0.62 1.91 3.43 1.91 0. 2.05
time (sec) N/A 0.314 0.142 0.045 1.377 1.579 0. 1.269


















Problem 386 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 81 81 74 132 269 201 0 171
normalized size 1 1. 0.91 1.63 3.32 2.48 0. 2.11
time (sec) N/A 0.147 0.067 0.035 1.217 1.542 0. 1.274


















Problem 387 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 44 58 78 123 0 49
normalized size 1 1. 1. 1.32 1.77 2.8 0. 1.11
time (sec) N/A 0.012 0.006 0.002 1.016 1.583 0. 1.252


















Problem 388 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 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 0.288 0.04 0. 0. 0. 0.


















Problem 389 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 108 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.156 0.748 0.044 0. 0. 0. 0.


















Problem 390 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 198 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.314 1.121 0.052 0. 0. 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 167 0 0 514 0 0
normalized size 1 1. 0.94 0. 0. 2.9 0. 0.
time (sec) N/A 0.156 0.213 0.046 0. 1.538 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 117 0 0 385 0 0
normalized size 1 1. 0.93 0. 0. 3.06 0. 0.
time (sec) N/A 0.107 0.085 0.033 0. 1.532 0. 0.


















Problem 393 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 92 92 86 0 0 250 0 0
normalized size 1 1. 0.93 0. 0. 2.72 0. 0.
time (sec) N/A 0.06 0.06 0.023 0. 1.496 0. 0.


















Problem 394 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 40 40 40 0 0 120 0 0
normalized size 1 1. 1. 0. 0. 3. 0. 0.
time (sec) N/A 0.005 0.006 0.012 0. 1.539 0. 0.


















Problem 395 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.385 0.044 0. 0. 0. 0.


















Problem 396 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 152 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.35 2.055 0.041 0. 0. 0. 0.


















Problem 397 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 71 71 66 106 0 185 0 0
normalized size 1 1. 0.93 1.49 0. 2.61 0. 0.
time (sec) N/A 0.405 0.124 0.162 0. 1.578 0. 0.


















Problem 398 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 116 116 116 191 0 375 0 0
normalized size 1 1. 1. 1.65 0. 3.23 0. 0.
time (sec) N/A 1.011 0.34 0.128 0. 1.644 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 267 267 0 506 0 1116 0 0
normalized size 1 1. 0. 1.9 0. 4.18 0. 0.
time (sec) N/A 1.914 0.653 0.15 0. 1.636 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 460 460 0 922 0 2736 0 0
normalized size 1 1. 0. 2. 0. 5.95 0. 0.
time (sec) N/A 3.751 0.627 0.2 0. 1.814 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 346 346 468 1146 0 0 0 0
normalized size 1 1. 1.35 3.31 0. 0. 0. 0.
time (sec) N/A 0.362 0.487 0.013 0. 0. 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 292 682 0 0 0 0
normalized size 1 1. 0.91 2.13 0. 0. 0. 0.
time (sec) N/A 0.317 0.316 0.01 0. 0. 0. 0.


















Problem 403 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 255 255 170 356 0 408 0 0
normalized size 1 1. 0.67 1.4 0. 1.6 0. 0.
time (sec) N/A 0.256 0.2 0.007 0. 1.541 0. 0.


















Problem 404 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 125 125 91 150 0 178 0 0
normalized size 1 1. 0.73 1.2 0. 1.42 0. 0.
time (sec) N/A 0.128 0.094 0.006 0. 1.551 0. 0.


















Problem 405 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 37 37 37 42 0 70 0 0
normalized size 1 1. 1. 1.14 0. 1.89 0. 0.
time (sec) N/A 0.03 0.013 0.002 0. 1.526 0. 0.


















Problem 406 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 62 62 56 79 0 138 0 0
normalized size 1 1. 0.9 1.27 0. 2.23 0. 0.
time (sec) N/A 0.203 0.063 0.011 0. 1.573 0. 0.


















Problem 407 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 107 107 105 97 0 312 0 0
normalized size 1 1. 0.98 0.91 0. 2.92 0. 0.
time (sec) N/A 0.545 0.163 0.01 0. 1.59 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 240 240 0 240 0 1007 0 0
normalized size 1 1. 0. 1. 0. 4.2 0. 0.
time (sec) N/A 1.037 0.401 0.01 0. 1.645 0. 0.


















Problem 409 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 322 322 243 560 0 635 0 0
normalized size 1 1. 0.75 1.74 0. 1.97 0. 0.
time (sec) N/A 0.339 0.308 0.018 0. 1.646 0. 0.


















Problem 410 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 215 215 176 313 0 420 0 0
normalized size 1 1. 0.82 1.46 0. 1.95 0. 0.
time (sec) N/A 0.233 0.188 0.009 0. 1.575 0. 0.


















Problem 411 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 111 111 85 140 0 265 0 0
normalized size 1 1. 0.77 1.26 0. 2.39 0. 0.
time (sec) N/A 0.129 0.116 0.007 0. 1.476 0. 0.


















Problem 412 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 50 50 50 48 0 139 0 0
normalized size 1 1. 1. 0.96 0. 2.78 0. 0.
time (sec) N/A 0.04 0.016 0.005 0. 1.545 0. 0.


















Problem 413 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.037 0.091 0. 0. 0. 0.


















Problem 414 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.216 0.103 0. 0. 0. 0.


















Problem 415 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.083 0.14 0. 0. 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 195 0 0 736 0 0
normalized size 1 1. 0.95 0. 0. 3.57 0. 0.
time (sec) N/A 0.189 0.146 0.098 0. 1.648 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 136 0 0 551 0 0
normalized size 1 1. 0.9 0. 0. 3.65 0. 0.
time (sec) N/A 0.133 0.076 0.076 0. 1.573 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 85 0 0 370 0 0
normalized size 1 1. 0.92 0. 0. 4.02 0. 0.
time (sec) N/A 0.057 0.085 0.059 0. 1.531 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 0 0 189 0 0
normalized size 1 1. 1. 0. 0. 4.72 0. 0.
time (sec) N/A 0.006 0.006 0.017 0. 1.574 0. 0.


















Problem 420 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.031 0.076 0. 0. 0. 0.


















Problem 421 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.298 0.083 0. 0. 0. 0.


















Problem 422 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 104 104 103 432 0 270 0 0
normalized size 1 1. 0.99 4.15 0. 2.6 0. 0.
time (sec) N/A 1.046 0.317 0.242 0. 1.609 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 159 159 0 580 0 456 0 0
normalized size 1 1. 0. 3.65 0. 2.87 0. 0.
time (sec) N/A 2.559 0.985 0.17 0. 1.539 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 366 366 0 2014 0 1507 0 0
normalized size 1 1. 0. 5.5 0. 4.12 0. 0.
time (sec) N/A 4.757 0.503 0.213 0. 1.732 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 634 634 0 4671 0 4427 0 0
normalized size 1 1. 0. 7.37 0. 6.98 0. 0.
time (sec) N/A 9.405 0.951 0.27 0. 1.946 0. 0.


















Problem 426 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 217 217 122 218 271 278 0 185
normalized size 1 1. 0.56 1. 1.25 1.28 0. 0.85
time (sec) N/A 0.231 0.177 0.086 1.162 1.571 0. 1.251


















Problem 427 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 164 164 104 163 224 238 0 146
normalized size 1 1. 0.63 0.99 1.37 1.45 0. 0.89
time (sec) N/A 0.093 0.116 0.031 1.176 1.557 0. 1.223


















Problem 428 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 81 81 81 79 144 184 0 108
normalized size 1 1. 1. 0.98 1.78 2.27 0. 1.33
time (sec) N/A 0.038 0.064 0.029 1.124 1.538 0. 1.199


















Problem 429 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 56 56 56 50 68 142 0 68
normalized size 1 1. 1. 0.89 1.21 2.54 0. 1.21
time (sec) N/A 0.015 0.013 0.025 0.984 1.554 0. 1.273


















Problem 430 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 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.111 0.014 0. 0. 0. 0.


















Problem 431 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 93 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.257 0.021 0. 0. 0. 0.


















Problem 432 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 181 181 91 194 244 217 0 140
normalized size 1 1. 0.5 1.07 1.35 1.2 0. 0.77
time (sec) N/A 0.179 0.218 0.011 1.152 1.543 0. 1.266


















Problem 433 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 134 134 79 111 204 181 0 108
normalized size 1 1. 0.59 0.83 1.52 1.35 0. 0.81
time (sec) N/A 0.082 0.114 0.004 1.161 1.535 0. 1.267


















Problem 434 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 66 66 68 53 132 149 0 78
normalized size 1 1. 1.03 0.8 2. 2.26 0. 1.18
time (sec) N/A 0.032 0.046 0.003 1.128 1.528 0. 1.383


















Problem 435 Optimal Rubi Mathematica Maple 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 46 34 43 101 41 51
normalized size 1 1. 1.05 0.77 0.98 2.3 0.93 1.16
time (sec) N/A 0.011 0.012 0.003 0.979 1.512 0.79 1.342


















Problem 436 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 0.028 0.121 0.012 0. 0. 0. 0.


















Problem 437 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 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.221 0.016 0. 0. 0. 0.


















Problem 438 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 297 297 191 368 360 460 0 338
normalized size 1 1. 0.64 1.24 1.21 1.55 0. 1.14
time (sec) N/A 0.636 0.354 0.011 1.198 1.511 0. 1.164


















Problem 439 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 216 216 144 212 298 328 0 205
normalized size 1 1. 0.67 0.98 1.38 1.52 0. 0.95
time (sec) N/A 0.271 0.178 0.006 1.179 1.582 0. 1.24


















Problem 440 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 107 107 116 102 193 251 0 140
normalized size 1 1. 1.08 0.95 1.8 2.35 0. 1.31
time (sec) N/A 0.104 0.088 0.004 1.169 1.528 0. 1.224


















Problem 441 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 68 68 68 60 78 171 0 92
normalized size 1 1. 1. 0.88 1.15 2.51 0. 1.35
time (sec) N/A 0.025 0.016 0.003 1.009 1.531 0. 1.214


















Problem 442 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.139 0.545 0.015 0. 0. 0. 0.


















Problem 443 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 127 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.265 0.379 0.017 0. 0. 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 169 550 728 458 0 541
normalized size 1 1. 0.64 2.07 2.74 1.72 0. 2.03
time (sec) N/A 0.324 0.275 0.052 1.359 1.56 0. 1.364


















Problem 445 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 189 189 123 307 448 311 0 340
normalized size 1 1. 0.65 1.62 2.37 1.65 0. 1.8
time (sec) N/A 0.108 0.175 0.043 1.247 1.59 0. 1.286


















Problem 446 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 90 90 96 131 216 203 0 184
normalized size 1 1. 1.07 1.46 2.4 2.26 0. 2.04
time (sec) N/A 0.041 0.103 0.033 1.142 1.568 0. 1.254


















Problem 447 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 0.031 0.209 0.037 0. 0. 0. 0.


















Problem 448 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 119 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.103 0.583 0.04 0. 0. 0. 0.


















Problem 449 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 205 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.208 0.833 0.049 0. 0. 0. 0.


















Problem 450 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 45 45 31 45 728 99 85 59
normalized size 1 1. 0.69 1. 16.18 2.2 1.89 1.31
time (sec) N/A 0.056 0.125 0.004 1.321 1.519 0.153 1.296


















Problem 451 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 78 78 86 99 448 190 0 119
normalized size 1 1. 1.1 1.27 5.74 2.44 0. 1.53
time (sec) N/A 0.056 0.105 0.039 1.255 1.539 0. 1.338


















Problem 452 Optimal Rubi Mathematica Maple 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 18 23 38 24 23
normalized size 1 1. 1. 1.06 1.35 2.24 1.41 1.35
time (sec) N/A 0.017 0.038 0.001 0.97 1.557 0.116 1.233


















Problem 453 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 39 39 39 40 0 105 0 0
normalized size 1 1. 1. 1.03 0. 2.69 0. 0.
time (sec) N/A 0.037 0.055 0.023 0. 1.507 0. 0.


















Problem 454 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 84 84 96 101 0 205 0 0
normalized size 1 1. 1.14 1.2 0. 2.44 0. 0.
time (sec) N/A 0.055 0.098 0.062 0. 1.543 0. 0.


















Problem 455 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 69 69 79 88 0 234 0 0
normalized size 1 1. 1.14 1.28 0. 3.39 0. 0.
time (sec) N/A 0.071 0.088 0.031 0. 1.567 0. 0.


















Problem 456 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 43 43 29 44 724 93 83 54
normalized size 1 1. 0.67 1.02 16.84 2.16 1.93 1.26
time (sec) N/A 0.043 0.095 0.004 1.341 1.527 0.15 1.319


















Problem 457 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 75 75 84 90 444 171 0 104
normalized size 1 1. 1.12 1.2 5.92 2.28 0. 1.39
time (sec) N/A 0.058 0.062 0.036 1.242 1.54 0. 1.236


















Problem 458 Optimal Rubi Mathematica Maple 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 16 17 22 32 22 22
normalized size 1 1. 1. 1.06 1.38 2. 1.38 1.38
time (sec) N/A 0.014 0.027 0.002 0.994 1.52 0.113 1.261


















Problem 459 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 37 37 37 33 0 92 0 0
normalized size 1 1. 1. 0.89 0. 2.49 0. 0.
time (sec) N/A 0.029 0.033 0.017 0. 1.562 0. 0.


















Problem 460 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 81 81 94 87 0 186 0 0
normalized size 1 1. 1.16 1.07 0. 2.3 0. 0.
time (sec) N/A 0.049 0.059 0.034 0. 1.63 0. 0.


















Problem 461 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 66 66 77 74 0 215 0 0
normalized size 1 1. 1.17 1.12 0. 3.26 0. 0.
time (sec) N/A 0.063 0.049 0.027 0. 1.53 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 133 142 0 266 0 0
normalized size 1 1. 0.92 0.98 0. 1.83 0. 0.
time (sec) N/A 0.352 0.244 0.023 0. 1.529 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 93 112 0 167 0 0
normalized size 1 1. 0.84 1.01 0. 1.5 0. 0.
time (sec) N/A 0.247 0.121 0.018 0. 1.559 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 94 102 0 192 0 0
normalized size 1 1. 0.8 0.86 0. 1.63 0. 0.
time (sec) N/A 0.119 0.054 0.01 0. 1.513 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 83 323 0 144 0 0
normalized size 1 1. 0.83 3.23 0. 1.44 0. 0.
time (sec) N/A 0.129 0.054 0.012 0. 1.574 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 120 660 0 212 0 0
normalized size 1 1. 0.91 5. 0. 1.61 0. 0.
time (sec) N/A 0.235 0.122 0.017 0. 1.57 0. 0.


















Problem 467 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 212 212 232 561 0 682 0 0
normalized size 1 1. 1.09 2.65 0. 3.22 0. 0.
time (sec) N/A 0.62 1.131 0.023 0. 1.582 0. 0.


















Problem 468 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 169 169 163 369 0 533 0 0
normalized size 1 1. 0.96 2.18 0. 3.15 0. 0.
time (sec) N/A 0.411 0.555 0.018 0. 1.617 0. 0.


















Problem 469 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 138 138 127 169 0 420 0 0
normalized size 1 1. 0.92 1.22 0. 3.04 0. 0.
time (sec) N/A 0.194 0.153 0.011 0. 1.572 0. 0.


















Problem 470 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 158 158 153 685 0 491 0 0
normalized size 1 1. 0.97 4.34 0. 3.11 0. 0.
time (sec) N/A 0.214 0.179 0.011 0. 1.533 0. 0.


















Problem 471 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 186 186 217 1730 0 583 0 0
normalized size 1 1. 1.17 9.3 0. 3.13 0. 0.
time (sec) N/A 0.408 0.519 0.017 0. 1.643 0. 0.


















Problem 472 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 232 232 268 3532 0 709 0 0
normalized size 1 1. 1.16 15.22 0. 3.06 0. 0.
time (sec) N/A 0.51 0.639 0.022 0. 1.651 0. 0.


















Problem 473 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 30 30 27 35 41 55 41 0
normalized size 1 1. 0.9 1.17 1.37 1.83 1.37 0.
time (sec) N/A 0.037 0.019 0.013 1.44 1.565 0.311 0.


















Problem 474 Optimal Rubi Mathematica Maple 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 27 35 41 55 31 42
normalized size 1 1. 0.9 1.17 1.37 1.83 1.03 1.4
time (sec) N/A 0.034 0.012 0.009 0.965 1.545 0.152 1.211


















Problem 475 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 32 32 26 37 45 57 44 0
normalized size 1 1. 0.81 1.16 1.41 1.78 1.38 0.
time (sec) N/A 0.038 0.022 0.017 1.466 1.574 0.321 0.


















Problem 476 Optimal Rubi Mathematica Maple 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 37 45 57 34 46
normalized size 1 1. 0.81 1.16 1.41 1.78 1.06 1.44
time (sec) N/A 0.035 0.013 0.009 0.967 1.597 0.155 1.174


















Problem 477 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 58 58 36 54 80 90 76 0
normalized size 1 1. 0.62 0.93 1.38 1.55 1.31 0.
time (sec) N/A 0.058 0.033 0.015 1.451 1.587 0.362 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 36 54 80 90 68 65
normalized size 1 1. 0.62 0.93 1.38 1.55 1.17 1.12
time (sec) N/A 0.051 0.018 0.01 0.992 1.577 0.192 1.217


















Problem 479 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 58 58 38 55 78 90 76 0
normalized size 1 1. 0.66 0.95 1.34 1.55 1.31 0.
time (sec) N/A 0.054 0.029 0.012 1.453 1.543 0.36 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 38 55 78 90 68 68
normalized size 1 1. 0.66 0.95 1.34 1.55 1.17 1.17
time (sec) N/A 0.052 0.017 0.011 0.982 1.526 0.194 1.241


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 53 0 190 29 0
normalized size 1 1. 1. 1.77 0. 6.33 0.97 0.
time (sec) N/A 0.03 0.007 0.029 0. 1.565 0.326 0.


















Problem 482 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 30 30 30 53 0 190 24 28
normalized size 1 1. 1. 1.77 0. 6.33 0.8 0.93
time (sec) N/A 0.029 0.004 0.026 0. 1.513 0.17 1.146


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 49 0 189 29 0
normalized size 1 1. 1. 1.63 0. 6.3 0.97 0.
time (sec) N/A 0.028 0.007 0.026 0. 1.554 0.34 0.


















Problem 484 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 30 30 30 49 0 189 24 32
normalized size 1 1. 1. 1.63 0. 6.3 0.8 1.07
time (sec) N/A 0.03 0.005 0.024 0. 1.559 0.182 1.267


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 40 74 0 212 39 0
normalized size 1 1. 0.93 1.72 0. 4.93 0.91 0.
time (sec) N/A 0.043 0.02 0.029 0. 1.553 0.202 0.


















Problem 486 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 43 43 40 74 0 212 39 51
normalized size 1 1. 0.93 1.72 0. 4.93 0.91 1.19
time (sec) N/A 0.04 0.008 0.029 0. 1.551 0.202 1.229


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 40 70 0 211 39 0
normalized size 1 1. 0.93 1.63 0. 4.91 0.91 0.
time (sec) N/A 0.043 0.018 0.032 0. 1.627 0.205 0.


















Problem 488 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 43 43 40 70 0 211 39 53
normalized size 1 1. 0.93 1.63 0. 4.91 0.91 1.23
time (sec) N/A 0.043 0.009 0.029 0. 1.654 0.206 1.37


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 33 0 0 198 85 0
normalized size 1 1. 1.06 0. 0. 6.39 2.74 0.
time (sec) N/A 0.039 0.013 0.028 0. 1.626 0.756 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 33 0 0 198 85 42
normalized size 1 1. 1.06 0. 0. 6.39 2.74 1.35
time (sec) N/A 0.038 0.004 0.02 0. 1.622 0.824 1.246


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 34 0 0 224 82 0
normalized size 1 1. 1.06 0. 0. 7. 2.56 0.
time (sec) N/A 0.04 0.013 0.027 0. 1.582 0.771 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 34 0 0 224 82 49
normalized size 1 1. 1.06 0. 0. 7. 2.56 1.53
time (sec) N/A 0.04 0.004 0.02 0. 1.655 0.855 1.372


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 35 40 26 62 0 0
normalized size 1 1. 1.46 1.67 1.08 2.58 0. 0.
time (sec) N/A 0.048 0.031 0.029 1.651 1.53 0. 0.


















Problem 494 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 40 32 62 0 39
normalized size 1 1. 1.46 1.67 1.33 2.58 0. 1.62
time (sec) N/A 0.047 0.006 0.016 0.967 1.575 0. 1.297


















Problem 495 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 25 25 38 44 28 62 0 0
normalized size 1 1. 1.52 1.76 1.12 2.48 0. 0.
time (sec) N/A 0.05 0.031 0.024 1.65 1.614 0. 0.


















Problem 496 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 25 25 38 44 34 62 0 45
normalized size 1 1. 1.52 1.76 1.36 2.48 0. 1.8
time (sec) N/A 0.05 0.007 0.016 0.98 1.499 0. 1.314


















Problem 497 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 44 44 29 29 92 65 56 0
normalized size 1 1. 0.66 0.66 2.09 1.48 1.27 0.
time (sec) N/A 0.04 0.022 0.015 1.462 1.551 0.969 0.


















Problem 498 Optimal Rubi Mathematica Maple 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 29 29 51 65 58 42
normalized size 1 1. 0.66 0.66 1.16 1.48 1.32 0.95
time (sec) N/A 0.041 0.012 0.01 0.974 1.564 0.956 1.289


















Problem 499 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 46 46 30 29 96 68 58 0
normalized size 1 1. 0.65 0.63 2.09 1.48 1.26 0.
time (sec) N/A 0.043 0.022 0.015 1.483 1.519 0.986 0.


















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 46 46 30 29 54 68 60 45
normalized size 1 1. 0.65 0.63 1.17 1.48 1.3 0.98
time (sec) N/A 0.044 0.012 0.01 0.978 1.499 0.953 1.156


















Problem 501 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 93 93 111 0 0 373 0 0
normalized size 1 1. 1.19 0. 0. 4.01 0. 0.
time (sec) N/A 0.074 0.086 0.024 0. 1.54 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 111 0 0 373 0 127
normalized size 1 1. 1.19 0. 0. 4.01 0. 1.37
time (sec) N/A 0.073 0.035 0.01 0. 1.588 0. 1.343


















Problem 503 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 96 96 115 0 0 374 0 0
normalized size 1 1. 1.2 0. 0. 3.9 0. 0.
time (sec) N/A 0.076 0.081 0.022 0. 1.531 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 115 0 0 374 0 136
normalized size 1 1. 1.2 0. 0. 3.9 0. 1.42
time (sec) N/A 0.077 0.013 0.013 0. 1.596 0. 1.377


















Problem 505 Optimal Rubi Mathematica Maple 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 18 20 70 14 20
normalized size 1 1. 1. 1.06 1.18 4.12 0.82 1.18
time (sec) N/A 0.015 0.014 0.008 0.978 1.56 0.08 1.33


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 24 55 17 24
normalized size 1 1. 1. 0.88 1. 2.29 0.71 1.
time (sec) N/A 0.02 0.01 0.007 0.963 1.495 0.106 1.272


















Problem 507 Optimal Rubi Mathematica Maple 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 44 35 58 163 22 62
normalized size 1 1. 0.79 0.62 1.04 2.91 0.39 1.11
time (sec) N/A 0.032 0.025 0.006 1.472 1.528 0.122 1.296


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 37 46 117 24 46
normalized size 1 1. 1. 0.84 1.05 2.66 0.55 1.05
time (sec) N/A 0.036 0.018 0.006 1.463 1.525 0.121 1.269


















Problem 509 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 67 67 66 66 0 518 63 85
normalized size 1 1. 0.99 0.99 0. 7.73 0.94 1.27
time (sec) N/A 0.065 0.108 0.008 0. 1.536 0.285 1.212


















Problem 510 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 44 44 38 38 50 140 0 0
normalized size 1 1. 0.86 0.86 1.14 3.18 0. 0.
time (sec) N/A 0.128 0.055 0.012 0.986 1.517 0. 0.


















Problem 511 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 54 54 49 41 51 117 0 0
normalized size 1 1. 0.91 0.76 0.94 2.17 0. 0.
time (sec) N/A 0.124 0.003 0.006 0.981 1.562 0. 0.


















Problem 512 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 180 180 120 183 0 302 0 0
normalized size 1 1. 0.67 1.02 0. 1.68 0. 0.
time (sec) N/A 0.188 0.088 0.01 0. 1.576 0. 0.


















Problem 513 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 204 204 144 235 0 317 0 0
normalized size 1 1. 0.71 1.15 0. 1.55 0. 0.
time (sec) N/A 0.195 0.09 0.01 0. 1.609 0. 0.


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 205 378 0 649 0 0
normalized size 1 1. 0.74 1.37 0. 2.35 0. 0.
time (sec) N/A 0.429 0.21 0.013 0. 1.529 0. 0.


















Problem 515 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 72 72 57 65 84 212 0 0
normalized size 1 1. 0.79 0.9 1.17 2.94 0. 0.
time (sec) N/A 0.23 0.092 0.033 0.986 1.5 0. 0.


















Problem 516 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 77 77 77 62 80 185 0 0
normalized size 1 1. 1. 0.81 1.04 2.4 0. 0.
time (sec) N/A 0.222 0.01 0.006 0.989 1.486 0. 0.


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 172 0 0 468 0 0
normalized size 1 1. 0.66 0. 0. 1.81 0. 0.
time (sec) N/A 0.296 0.151 0.028 0. 1.499 0. 0.


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 216 0 0 520 0 0
normalized size 1 1. 0.74 0. 0. 1.77 0. 0.
time (sec) N/A 0.309 0.165 0.026 0. 1.654 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 407 0 0 977 0 0
normalized size 1 1. 1.04 0. 0. 2.5 0. 0.
time (sec) N/A 0.665 0.184 0.029 0. 1.554 0. 0.


















Problem 520 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 40 40 37 68 74 159 34 0
normalized size 1 1. 0.92 1.7 1.85 3.98 0.85 0.
time (sec) N/A 0.027 0.034 0.013 0.99 1.603 0.116 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 93 547 0 711 104 0
normalized size 1 1. 0.99 5.82 0. 7.56 1.11 0.
time (sec) N/A 0.108 0.138 0.085 0. 1.684 0.421 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 93 546 0 711 104 0
normalized size 1 1. 0.99 5.81 0. 7.56 1.11 0.
time (sec) N/A 0.093 0.144 0.076 0. 1.801 0.424 0.


















Problem 523 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 96 96 88 143 154 356 0 0
normalized size 1 1. 0.92 1.49 1.6 3.71 0. 0.
time (sec) N/A 0.268 0.176 0.059 1.005 1.541 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) A F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 338 338 0 855 0 1176 0 0
normalized size 1 1. 0. 2.53 0. 3.48 0. 0.
time (sec) N/A 0.686 5.06 0.078 0. 1.512 0. 0.


















Problem 525 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 145 145 123 232 211 522 0 0
normalized size 1 1. 0.85 1.6 1.46 3.6 0. 0.
time (sec) N/A 0.421 0.231 0.061 1.012 1.368 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-2) C F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 484 484 0 0 0 1623 0 0
normalized size 1 1. 0. 0. 0. 3.35 0. 0.
time (sec) N/A 0.875 2.776 0.126 0. 1.493 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 102 993 0 755 139 0
normalized size 1 1. 0.99 9.64 0. 7.33 1.35 0.
time (sec) N/A 0.157 0.158 0.134 0. 1.338 0.879 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 102 993 0 755 139 0
normalized size 1 1. 0.99 9.64 0. 7.33 1.35 0.
time (sec) N/A 0.141 0.033 0.002 0. 1.429 0.894 0.


















Problem 529 Optimal Rubi Mathematica Maple 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 9 11 19 7 11
normalized size 1 1. 1. 1. 1.22 2.11 0.78 1.22
time (sec) N/A 0.011 0.008 0.004 0.961 1.246 0.071 1.229


















Problem 530 Optimal Rubi Mathematica Maple 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 19 24 59 14 38
normalized size 1 1. 1. 0.95 1.2 2.95 0.7 1.9
time (sec) N/A 0.134 0.025 0.009 0.988 1.383 0.089 1.422


















Problem 531 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 34 34 33 32 41 103 0 0
normalized size 1 1. 0.97 0.94 1.21 3.03 0. 0.
time (sec) N/A 0.25 0.047 0.02 0.981 1.318 0. 0.


















Problem 532 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 20 20 20 25 30 51 19 0
normalized size 1 1. 1. 1.25 1.5 2.55 0.95 0.
time (sec) N/A 0.02 0.017 0.011 0.954 1.252 0.102 0.


















Problem 533 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 50 50 44 64 77 147 42 0
normalized size 1 1. 0.88 1.28 1.54 2.94 0.84 0.
time (sec) N/A 0.288 0.065 0.014 0.99 1.291 0.137 0.


















Problem 534 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 75 75 63 134 109 274 0 0
normalized size 1 1. 0.84 1.79 1.45 3.65 0. 0.
time (sec) N/A 0.491 0.112 0.06 1.033 1.349 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 14 19 35 12 18
normalized size 1 1. 1. 1.08 1.46 2.69 0.92 1.38
time (sec) N/A 0.012 0.01 0.003 0.987 1.228 0.088 1.199


















Problem 536 Optimal Rubi Mathematica Maple 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 26 53 17 24
normalized size 1 1. 0.7 0.78 1.13 2.3 0.74 1.04
time (sec) N/A 0.019 0.011 0.006 0.988 1.177 0.112 1.226


















Problem 537 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 36 36 36 36 0 298 36 47
normalized size 1 1. 1. 1. 0. 8.28 1. 1.31
time (sec) N/A 0.057 0.024 0.006 0. 1.261 0.23 1.144


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 123 181 0 504 0 0
normalized size 1 1. 0.77 1.14 0. 3.17 0. 0.
time (sec) N/A 0.304 0.067 0.008 0. 1.362 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 185 0 0 759 0 0
normalized size 1 1. 0.76 0. 0. 3.11 0. 0.
time (sec) N/A 0.499 0.037 0.017 0. 1.385 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 135 0 424 66 0
normalized size 1 1. 1. 2.87 0. 9.02 1.4 0.
time (sec) N/A 0.064 0.054 0.029 0. 1.376 0.328 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 203 203 0 433 0 845 0 0
normalized size 1 1. 0. 2.13 0. 4.16 0. 0.
time (sec) N/A 0.407 0.45 0.067 0. 1.396 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-2) C F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 310 310 0 0 0 1164 0 0
normalized size 1 1. 0. 0. 0. 3.75 0. 0.
time (sec) N/A 0.66 0.192 0.115 0. 1.413 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 52 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.663 0.092 0. 0. 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 154 154 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.265 1.51 0.076 0. 0. 0. 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 112 112 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.227 1.388 0.071 0. 0. 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 70 70 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.122 0.508 0.086 0. 0. 0. 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 26 37 49 58 128 0
normalized size 1 1. 0.72 1.03 1.36 1.61 3.56 0.
time (sec) N/A 0.015 0.01 0.007 0.975 1.615 0.307 0.


















Problem 548 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 52 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.152 0.378 0.076 0. 0. 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 52 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.149 1.272 0.072 0. 0. 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 49 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.23 0.719 0.04 0. 0. 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.327 1.319 0.023 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 110 110 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.303 1.268 0.02 0. 0. 0. 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 68 68 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.18 0.454 0.024 0. 0. 0. 0.


















Problem 554 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 14 14 14 32 42 55 20 51
normalized size 1 1. 1. 2.29 3. 3.93 1.43 3.64
time (sec) N/A 0.008 0.003 0.006 0.975 1.201 0.133 1.307


















Problem 555 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 49 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.233 0.47 0.021 0. 0. 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 49 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.225 1.407 0.021 0. 0. 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 0 0 62 0 0
normalized size 1 1. 1. 0. 0. 0.81 0. 0.
time (sec) N/A 0.241 0.317 0.064 0. 2.878 0. 0.


















Problem 558 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 29 29 29 0 0 62 0 0
normalized size 1 1. 1. 0. 0. 2.14 0. 0.
time (sec) N/A 0.106 0.253 0.02 0. 2.497 0. 0.


















Problem 559 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 29 29 29 0 0 62 0 0
normalized size 1 1. 1. 0. 0. 2.14 0. 0.
time (sec) N/A 0.108 0.246 0.018 0. 2.43 0. 0.


















Problem 560 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 28 28 28 0 0 59 0 0
normalized size 1 1. 1. 0. 0. 2.11 0. 0.
time (sec) N/A 0.096 0.23 0.019 0. 2.452 0. 0.


















Problem 561 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 29 29 29 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.243 0.019 0. 0. 0. 0.


















Problem 562 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 29 29 29 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.245 0.02 0. 0. 0. 0.


















Problem 563 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 49 49 35 69 90 197 279 3617
normalized size 1 1. 0.71 1.41 1.84 4.02 5.69 73.82
time (sec) N/A 0.064 0.029 0.007 0.977 1.284 2.36 1.431


















Problem 564 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 31 31 26 25 50 101 97 1377
normalized size 1 1. 0.84 0.81 1.61 3.26 3.13 44.42
time (sec) N/A 0.029 0.012 0.005 0.992 1.357 1.178 1.266


















Problem 565 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 14 14 14 15 0 36 24 327
normalized size 1 1. 1. 1.07 0. 2.57 1.71 23.36
time (sec) N/A 0.012 0.006 0.003 0. 1.248 0.565 1.255


















Problem 566 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 8 8 10 56 11 34 0 0
normalized size 1 1. 1.25 7. 1.38 4.25 0. 0.
time (sec) N/A 0.042 0.011 0.034 1.093 1.226 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C A A F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 26 26 0 160 22 84 0 0
normalized size 1 1. 0. 6.15 0.85 3.23 0. 0.
time (sec) N/A 0.062 0.049 0.036 1.111 1.272 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C A A F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 51 51 0 225 26 167 0 0
normalized size 1 1. 0. 4.41 0.51 3.27 0. 0.
time (sec) N/A 0.085 0.057 0.044 1.097 1.332 0. 0.


















Problem 569 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 19 19 21 20 0 54 41 429
normalized size 1 1. 1.11 1.05 0. 2.84 2.16 22.58
time (sec) N/A 0.041 0.016 0.005 0. 1.288 2.651 1.48


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 19 0 39 0 312
normalized size 1 1. 1. 1.06 0. 2.17 0. 17.33
time (sec) N/A 0.021 0.01 0.003 0. 1.284 0. 1.496


















Problem 571 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 61 61 43 73 97 200 333 2510
normalized size 1 1. 0.7 1.2 1.59 3.28 5.46 41.15
time (sec) N/A 0.07 0.028 0.007 1.033 1.312 1.66 1.316


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 770 770 2441 0 0 4178 0 0
normalized size 1 1. 3.17 0. 0. 5.43 0. 0.
time (sec) N/A 1.374 4.479 0.331 0. 1.766 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 599 599 1412 0 0 2732 0 0
normalized size 1 1. 2.36 0. 0. 4.56 0. 0.
time (sec) N/A 1.002 2.523 0.208 0. 1.591 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 428 428 677 1261 0 1513 0 0
normalized size 1 1. 1.58 2.95 0. 3.54 0. 0.
time (sec) N/A 0.583 1.762 0.032 0. 1.348 0. 0.


















Problem 575 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 95 95 94 183 0 686 116 161
normalized size 1 1. 0.99 1.93 0. 7.22 1.22 1.69
time (sec) N/A 0.151 0.167 0.003 0. 1.441 0.711 1.292


















Problem 576 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 82 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.018 0.412 0.156 0. 0. 0. 0.


















Problem 577 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 82 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.87 5.761 0.197 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 398 285 0 593 0 0
normalized size 1 1. 2.65 1.9 0. 3.95 0. 0.
time (sec) N/A 0.672 0.413 0.037 0. 1.314 0. 0.


















Problem 579 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 65 65 85 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.141 0.043 0. 0. 0. 0.


















Problem 580 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 65 65 85 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.108 0.042 0. 0. 0. 0.


















Problem 581 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 56 56 83 0 0 0 0 0
normalized size 1 1. 1.48 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.087 0.069 0. 0. 0. 0.


















Problem 582 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 57 57 50 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.102 0.086 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 81 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.118 0.044 0. 0. 0. 0.


















Problem 584 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 68 68 85 0 0 0 0 0
normalized size 1 1. 1.25 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.118 0.044 0. 0. 0. 0.


















Problem 585 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 77 77 94 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.159 0.072 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F A F A
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 76 76 0 0 0 151 0 76
normalized size 1 1. 0. 0. 0. 1.99 0. 1.
time (sec) N/A 0.157 0.085 0.079 0. 1.022 0. 1.328


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 137 136 0 0 0 382 0 0
normalized size 1 0.99 0. 0. 0. 2.79 0. 0.
time (sec) N/A 0.39 0.157 80.773 0. 1.027 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 123 0 0 316 0 0
normalized size 1 1. 1. 0. 0. 2.57 0. 0.
time (sec) N/A 0.249 0.236 0.302 0. 1.066 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 115 0 0 293 0 0
normalized size 1 1. 1. 0. 0. 2.55 0. 0.
time (sec) N/A 0.207 0.491 0.307 0. 0.995 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 118 0 0 309 532 136
normalized size 1 1. 1. 0. 0. 2.62 4.51 1.15
time (sec) N/A 0.127 0.095 0.125 0. 1.021 107.124 1.291


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 67 0 0 146 0 0
normalized size 1 1. 1. 0. 0. 2.18 0. 0.
time (sec) N/A 0.144 0.037 180. 0. 0.981 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 121 0 0 315 0 0
normalized size 1 1. 1. 0. 0. 2.6 0. 0.
time (sec) N/A 0.234 0.202 0.533 0. 1.034 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 117 0 0 296 0 0
normalized size 1 1. 0.99 0. 0. 2.51 0. 0.
time (sec) N/A 0.231 0.207 0.614 0. 1.06 0. 0.


















Problem 594 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 1.775 0.861 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 502 0 396 0 0 1319 0 0
normalized size 1 0. 0.79 0. 0. 2.63 0. 0.
time (sec) N/A 0.376 1.551 0.552 0. 1.093 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 372 0 303 0 0 961 0 0
normalized size 1 0. 0.81 0. 0. 2.58 0. 0.
time (sec) N/A 0.306 0.703 0.458 0. 1.038 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 242 0 204 0 0 610 0 0
normalized size 1 0. 0.84 0. 0. 2.52 0. 0.
time (sec) N/A 0.23 0.374 0.372 0. 1.06 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 118 0 0 309 532 136
normalized size 1 1. 1. 0. 0. 2.62 4.51 1.15
time (sec) N/A 0.094 0.023 0.013 0. 0.986 105.909 1.361


















Problem 599 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.517 0.386 0. 0. 0. 0.


















Problem 600 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 2.484 0.468 0. 0. 0. 0.


















Problem 601 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 3.302 0.657 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 153 152 0 0 0 443 0 0
normalized size 1 0.99 0. 0. 0. 2.9 0. 0.
time (sec) N/A 0.757 0.238 180. 0. 1.029 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 129 0 0 355 0 0
normalized size 1 1. 0.97 0. 0. 2.67 0. 0.
time (sec) N/A 0.411 0.343 0.441 0. 1.003 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 120 0 0 333 0 0
normalized size 1 1. 0.98 0. 0. 2.73 0. 0.
time (sec) N/A 0.369 0.704 0.353 0. 1.076 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 123 0 0 350 0 157
normalized size 1 1. 0.98 0. 0. 2.78 0. 1.25
time (sec) N/A 0.232 0.092 0.194 0. 1.009 0. 1.346


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 59 0 0 159 0 0
normalized size 1 1. 0.84 0. 0. 2.27 0. 0.
time (sec) N/A 0.268 0.046 180. 0. 1.002 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 126 0 0 354 0 0
normalized size 1 1. 0.98 0. 0. 2.77 0. 0.
time (sec) N/A 0.412 0.257 0.521 0. 1.014 0. 0.


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 121 0 0 335 0 0
normalized size 1 1. 0.96 0. 0. 2.66 0. 0.
time (sec) N/A 0.405 0.245 0.665 0. 1.091 0. 0.


















Problem 609 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 1.402 0.888 0. 0. 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 535 0 434 0 0 1469 0 0
normalized size 1 0. 0.81 0. 0. 2.75 0. 0.
time (sec) N/A 0.493 2.38 0.517 0. 1.099 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 397 0 331 0 0 1076 0 0
normalized size 1 0. 0.83 0. 0. 2.71 0. 0.
time (sec) N/A 0.367 1.047 0.483 0. 1.121 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F F A F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 257 0 221 0 0 689 0 0
normalized size 1 0. 0.86 0. 0. 2.68 0. 0.
time (sec) N/A 0.306 0.506 0.373 0. 1.356 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 123 0 0 350 0 157
normalized size 1 1. 0.98 0. 0. 2.78 0. 1.25
time (sec) N/A 0.143 0.06 0.037 0. 1.318 0. 1.305


















Problem 614 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 0.959 0.553 0. 0. 0. 0.


















Problem 615 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 4.509 0.579 0. 0. 0. 0.


















Problem 616 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.099 6.77 0.786 0. 0. 0. 0.


















Problem 617 Optimal Rubi Mathematica Maple 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 18 23 38 24 23
normalized size 1 1. 1. 1.06 1.35 2.24 1.41 1.35
time (sec) N/A 0.052 0.052 0.043 0.96 0.924 0.124 1.339


















Problem 618 Optimal Rubi Mathematica Maple 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 19 21 27 45 32 27
normalized size 1 1. 0.95 1.05 1.35 2.25 1.6 1.35
time (sec) N/A 0.166 0.384 0.042 0.978 0.779 0.679 1.301


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 0 0 57 0 0
normalized size 1 1. 0.9 0. 0. 1.16 0. 0.
time (sec) N/A 0.2 0.052 1.413 0. 0.732 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 49 145 3214 261 160 360
normalized size 1 1. 0.54 1.61 35.71 2.9 1.78 4.
time (sec) N/A 0.182 0.037 0.039 2.137 0.832 0.236 1.264


















Problem 621 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 64 64 36 64 1651 136 68 161
normalized size 1 1. 0.56 1. 25.8 2.12 1.06 2.52
time (sec) N/A 0.161 0.031 0.039 1.683 0.809 0.181 1.312


















Problem 622 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 38 38 23 24 676 58 22 59
normalized size 1 1. 0.61 0.63 17.79 1.53 0.58 1.55
time (sec) N/A 0.096 0.029 0.037 1.37 0.825 0.135 1.193


















Problem 623 Optimal Rubi Mathematica Maple 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 12 15 28 10 15
normalized size 1 1. 1. 1. 1.25 2.33 0.83 1.25
time (sec) N/A 0.019 0.037 0.036 0.974 0.706 0.101 1.257


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 10 19 0 28 10 0
normalized size 1 1. 0.91 1.73 0. 2.55 0.91 0.
time (sec) N/A 0.177 0.024 0.036 0. 0.806 34.115 0.


















Problem 625 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 38 38 35 45 0 109 0 0
normalized size 1 1. 0.92 1.18 0. 2.87 0. 0.
time (sec) N/A 0.197 0.05 0.037 0. 0.809 0. 0.


















Problem 626 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 72 72 50 70 0 252 0 0
normalized size 1 1. 0.69 0.97 0. 3.5 0. 0.
time (sec) N/A 0.241 0.069 0.041 0. 0.906 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 47 119 0 0 0 0
normalized size 1 1. 0.33 0.84 0. 0. 0. 0.
time (sec) N/A 0.633 0.196 0.042 0. 0. 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 46 94 0 0 0 0
normalized size 1 1. 0.41 0.84 0. 0. 0. 0.
time (sec) N/A 0.457 0.124 0.041 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 47 69 0 0 0 0
normalized size 1 1. 0.57 0.84 0. 0. 0. 0.
time (sec) N/A 0.363 0.11 0.041 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 46 44 0 0 78 63
normalized size 1 1. 0.88 0.85 0. 0. 1.5 1.21
time (sec) N/A 0.235 0.048 0.04 0. 0. 12.855 1.255


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 46 18 0 0 49 0
normalized size 1 1. 2.19 0.86 0. 0. 2.33 0.
time (sec) N/A 0.264 0.059 0.043 0. 0. 5.721 0.


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 62 45 0 0 80 0
normalized size 1 1. 1.22 0.88 0. 0. 1.57 0.
time (sec) N/A 0.315 0.095 0.039 0. 0. 9.462 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 77 70 0 0 0 0
normalized size 1 1. 0.91 0.82 0. 0. 0. 0.
time (sec) N/A 0.348 0.127 0.041 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 91 95 0 0 0 0
normalized size 1 1. 0.79 0.83 0. 0. 0. 0.
time (sec) N/A 0.355 0.151 0.051 0. 0. 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 103 120 0 0 0 0
normalized size 1 1. 0.71 0.83 0. 0. 0. 0.
time (sec) N/A 0.379 0.194 0.041 0. 0. 0. 0.


















Problem 636 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 8 8 42 37 19 55 7 19
normalized size 1 1. 5.25 4.62 2.38 6.88 0.88 2.38
time (sec) N/A 0.028 0.017 0.073 1.458 0.756 0.895 1.327


















Problem 637 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 12 12 12 8 9 28 15 9
normalized size 1 1. 1. 0.67 0.75 2.33 1.25 0.75
time (sec) N/A 0.019 0.003 0.02 1.46 0.811 0.107 1.237


















Problem 638 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 4 4 4 4 20 50 15 22
normalized size 1 1. 1. 1. 5. 12.5 3.75 5.5
time (sec) N/A 0.02 0.003 0.018 0.962 0.736 0.1 1.275


















Problem 639 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 20 20 20 14 35 90 15 41
normalized size 1 1. 1. 0.7 1.75 4.5 0.75 2.05
time (sec) N/A 0.022 0.006 0.019 1.46 0.709 0.116 1.314


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 26 34 103 42 34
normalized size 1 1. 1. 0.72 0.94 2.86 1.17 0.94
time (sec) N/A 0.029 0.015 0.059 1.461 0.825 1.483 1.214


















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 14 12 15 31 10 15
normalized size 1 1. 0.64 0.55 0.68 1.41 0.45 0.68
time (sec) N/A 0.021 0.002 0.019 0.973 0.721 0.084 1.142


















Problem 642 Optimal Rubi Mathematica Maple 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 26 21 27 95 24 27
normalized size 1 1. 0.9 0.72 0.93 3.28 0.83 0.93
time (sec) N/A 0.027 0.012 0.054 1.46 0.892 1.277 1.216


















Problem 643 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 11 16 61 0 28
normalized size 1 1. 1. 0.79 1.14 4.36 0. 2.
time (sec) N/A 0.036 0.01 0.062 1.443 0.882 0. 1.284


















Problem 644 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 12 12 12 16 20 51 15 22
normalized size 1 1. 1. 1.33 1.67 4.25 1.25 1.83
time (sec) N/A 0.02 0.003 0.027 0.962 0.741 0.102 1.249


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 11 14 26 8 14
normalized size 1 1. 1. 0.85 1.08 2. 0.62 1.08
time (sec) N/A 0.009 0.002 0.018 0.963 0.763 0.084 1.268


















Problem 646 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 16 16 16 16 0 43 10 20
normalized size 1 1. 1. 1. 0. 2.69 0.62 1.25
time (sec) N/A 0.005 0.005 0.036 0. 0.862 0.08 1.165


















Problem 647 Optimal Rubi Mathematica Maple 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 18 42 14 18
normalized size 1 1. 1. 1. 1. 2.33 0.78 1.
time (sec) N/A 0.026 0.009 0.025 0.958 0.947 0.087 1.201


















Problem 648 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 59 3 4
normalized size 1 1. 1. 1. 1. 14.75 0.75 1.
time (sec) N/A 0.023 0.004 0.058 1.45 0.77 0.672 1.365


















Problem 649 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 8 9 28 17 9
normalized size 1 1. 1. 0.8 0.9 2.8 1.7 0.9
time (sec) N/A 0.02 0.003 0.02 1.497 0.751 0.109 1.177


















Problem 650 Optimal Rubi Mathematica Maple 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 23 20 23 59 17 24
normalized size 1 1. 0.85 0.74 0.85 2.19 0.63 0.89
time (sec) N/A 0.019 0.018 0.027 0.975 0.774 0.1 1.248


















Problem 651 Optimal Rubi Mathematica Maple 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 30 10 14
normalized size 1 1. 1. 0.92 1.17 2.5 0.83 1.17
time (sec) N/A 0.035 0.01 0.02 1.006 0.771 0.093 1.286


















Problem 652 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 6 6 6 6 20 51 15 22
normalized size 1 1. 1. 1. 3.33 8.5 2.5 3.67
time (sec) N/A 0.019 0.002 0.018 0.978 0.909 0.102 1.233


















Problem 653 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 4 4 18 15 4
normalized size 1 1. 1. 1. 1. 4.5 3.75 1.
time (sec) N/A 0.019 0.003 0.02 1.882 0.87 0.105 1.253


















Problem 654 Optimal Rubi Mathematica Maple 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 14 14 17 14 31 8 16
normalized size 1 1.17 1.17 1.42 1.17 2.58 0.67 1.33
time (sec) N/A 0.04 0.008 0.027 0.964 0.962 0.092 1.264


















Problem 655 Optimal Rubi Mathematica Maple 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 12 12 14 11 31 8 15
normalized size 1 1.2 1.2 1.4 1.1 3.1 0.8 1.5
time (sec) N/A 0.037 0.008 0.026 0.979 0.8 0.09 1.331


















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 18 18 18 30 19 36 10 19
normalized size 1 1. 1. 1.67 1.06 2. 0.56 1.06
time (sec) N/A 0.044 0.008 0.03 0.982 0.852 0.095 1.207


















Problem 657 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 4 4 42 3 22
normalized size 1 1. 1. 1. 1. 10.5 0.75 5.5
time (sec) N/A 0.021 0.004 0.065 1.457 0.771 0.62 1.226


















Problem 658 Optimal Rubi Mathematica Maple 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 26 8 11
normalized size 1 1. 1. 0.82 1. 2.36 0.73 1.
time (sec) N/A 0.024 0.003 0.024 0.968 0.679 0.193 1.259


















Problem 659 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 18 18 18 14 18 45 0 18
normalized size 1 1. 1. 0.78 1. 2.5 0. 1.
time (sec) N/A 0.061 0.016 0.06 1.459 0.789 0. 1.236


















Problem 660 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 31 31 30 21 27 84 0 39
normalized size 1 1. 0.97 0.68 0.87 2.71 0. 1.26
time (sec) N/A 0.025 0.01 0.059 1.46 0.778 0. 1.247


















Problem 661 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 24 19 24 84 0 39
normalized size 1 1. 0.89 0.7 0.89 3.11 0. 1.44
time (sec) N/A 0.023 0.009 0.058 1.488 0.658 0. 1.226


















Problem 662 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 8 9 28 17 9
normalized size 1 1. 1. 0.8 0.9 2.8 1.7 0.9
time (sec) N/A 0.126 0.016 0.021 1.495 0.815 0.129 1.259


















Problem 663 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 28 28 13 17 15 42 24 15
normalized size 1 1. 0.46 0.61 0.54 1.5 0.86 0.54
time (sec) N/A 0.042 0.001 0.016 0.969 0.695 4.295 1.244


















Problem 664 Optimal Rubi Mathematica Maple 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 16 13 22 42 10 22
normalized size 1 1. 1. 0.81 1.38 2.62 0.62 1.38
time (sec) N/A 0.024 0.004 0.06 0.966 0.738 0.802 1.224


















Problem 665 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 12 12 16 20 50 15 22
normalized size 1 1. 1. 1.33 1.67 4.17 1.25 1.83
time (sec) N/A 0.022 0.003 0.023 0.967 0.788 0.106 1.217


















Problem 666 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 8 9 28 17 9
normalized size 1 1. 1. 0.8 0.9 2.8 1.7 0.9
time (sec) N/A 0.021 0.003 0.02 1.456 0.857 0.113 1.739


















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 0 12 54 8 24
normalized size 1 1. 1. 0. 0.86 3.86 0.57 1.71
time (sec) N/A 0.023 0.004 0.122 1.457 0.597 0.946 1.232


















Problem 668 Optimal Rubi Mathematica Maple 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 53 39 77 32 34
normalized size 1 1. 0.8 1.51 1.11 2.2 0.91 0.97
time (sec) N/A 0.179 0.053 0.052 0.969 0.868 2.243 1.239


















Problem 669 Optimal Rubi Mathematica Maple 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 23 7 11
normalized size 1 1. 1. 0.82 1. 2.09 0.64 1.
time (sec) N/A 0.009 0.002 0.019 0.968 0.866 0.085 1.268


















Problem 670 Optimal Rubi Mathematica Maple 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 23 7 11
normalized size 1 1. 1. 0.82 1. 2.09 0.64 1.
time (sec) N/A 0.016 0.002 0.019 0.956 0.862 0.084 1.254


















Problem 671 Optimal Rubi Mathematica Maple 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 7 8 18 7 8
normalized size 1 1. 1. 0.78 0.89 2. 0.78 0.89
time (sec) N/A 0.01 0.002 0.023 0.962 0.82 0.192 1.185


















Problem 672 Optimal Rubi Mathematica Maple 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 7 8 20 7 8
normalized size 1 1. 1. 0.78 0.89 2.22 0.78 0.89
time (sec) N/A 0.011 0.002 0.02 0.959 0.804 0.372 1.27


















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 34 32 80 92 31 42
normalized size 1 1. 0.5 0.47 1.18 1.35 0.46 0.62
time (sec) N/A 0.107 0.021 0.024 0.984 0.853 0.101 1.254


















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 26 22 26 53 20 26
normalized size 1 1. 0.93 0.79 0.93 1.89 0.71 0.93
time (sec) N/A 0.024 0.015 0.019 0.981 0.863 0.096 1.235


















Problem 675 Optimal Rubi Mathematica Maple 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 23 20 26 53 22 24
normalized size 1 1. 0.88 0.77 1. 2.04 0.85 0.92
time (sec) N/A 0.022 0.011 0.021 0.976 0.76 0.105 1.213


















Problem 676 Optimal Rubi Mathematica Maple 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 9 11 19 7 11
normalized size 1 1. 1. 1. 1.22 2.11 0.78 1.22
time (sec) N/A 0.024 0.007 0.023 0.971 0.806 0.079 1.243


















Problem 677 Optimal Rubi Mathematica Maple 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 20 22 23 62 20 23
normalized size 1 1. 0.74 0.81 0.85 2.3 0.74 0.85
time (sec) N/A 0.01 0.027 0.03 0.963 0.824 0.484 1.24


















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 17 17 17 16 20 42 14 20
normalized size 1 1. 1. 0.94 1.18 2.47 0.82 1.18
time (sec) N/A 0.032 0.013 0.026 0.98 0.809 0.121 1.265


















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 12 12 12 11 14 27 8 14
normalized size 1 1. 1. 0.92 1.17 2.25 0.67 1.17
time (sec) N/A 0.022 0.008 0.02 0.978 0.872 0.086 1.225


















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 27 27 22 22 26 63 26 26
normalized size 1 1. 0.81 0.81 0.96 2.33 0.96 0.96
time (sec) N/A 0.011 0.027 0.026 0.985 0.921 0.308 1.239


















Problem 681 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 5 5 5 5 5 82 0 8
normalized size 1 1. 1. 1. 1. 16.4 0. 1.6
time (sec) N/A 0.014 0.006 0.02 0.97 0.908 0. 1.207


















Problem 682 Optimal Rubi Mathematica Maple 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 21 22 22 62 17 26
normalized size 1 1. 1. 1.05 1.05 2.95 0.81 1.24
time (sec) N/A 0.025 0.015 0.025 0.976 0.958 0.097 1.197


















Problem 683 Optimal Rubi Mathematica Maple 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 63 24 26
normalized size 1 1. 0.81 0.81 0.96 2.33 0.89 0.96
time (sec) N/A 0.01 0.042 0.023 0.972 0.679 0.311 1.225


















Problem 684 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 34 34 34 28 53 157 0 55
normalized size 1 1. 1. 0.82 1.56 4.62 0. 1.62
time (sec) N/A 0.03 0.016 0.305 0.965 0.736 0. 1.206


















Problem 685 Optimal Rubi Mathematica Maple 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 20 23 22 46 14 22
normalized size 1 1. 0.77 0.88 0.85 1.77 0.54 0.85
time (sec) N/A 0.017 0.021 0.021 0.966 0.848 0.096 1.218


















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 15 15 10 14 18 41 12 18
normalized size 1 1. 0.67 0.93 1.2 2.73 0.8 1.2
time (sec) N/A 0.029 0.007 0.026 0.973 0.896 0.111 1.211


















Problem 687 Optimal Rubi Mathematica Maple 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 20 18 23 46 22 23
normalized size 1 1. 0.74 0.67 0.85 1.7 0.81 0.85
time (sec) N/A 0.026 0.01 0.02 0.992 0.781 1.896 1.195


















Problem 688 Optimal Rubi Mathematica Maple 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 20 18 23 46 22 23
normalized size 1 1. 0.74 0.67 0.85 1.7 0.81 0.85
time (sec) N/A 0.026 0.01 0.021 0.96 0.772 2.628 1.235


















Problem 689 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 62 62 54 50 65 173 0 66
normalized size 1 1. 0.87 0.81 1.05 2.79 0. 1.06
time (sec) N/A 0.052 0.041 0.068 1.46 0.82 0. 1.208


















Problem 690 Optimal Rubi Mathematica Maple 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 12 12 26 28 10 15
normalized size 1 1. 0.63 0.63 1.37 1.47 0.53 0.79
time (sec) N/A 0.043 0.027 0.022 0.981 0.721 0.087 1.263


















Problem 691 Optimal Rubi Mathematica Maple 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 19 17 38 45 15 22
normalized size 1 1. 0.59 0.53 1.19 1.41 0.47 0.69
time (sec) N/A 0.051 0.028 0.022 0.976 0.808 0.096 1.216


















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A B A A A F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 11 0 11 22 14 26 8 0
normalized size 1 0. 1. 2. 1.27 2.36 0.73 0.
time (sec) N/A 0.145 0.043 0.04 1.142 0.826 0.516 0.


















Problem 693 Optimal Rubi Mathematica Maple 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 7 8 18 5 8
normalized size 1 1. 1. 0.78 0.89 2. 0.56 0.89
time (sec) N/A 0.026 0.001 0.023 0.99 0.823 0.116 1.213


















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A A A A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 9 0 9 18 12 30 12 22
normalized size 1 0. 1. 2. 1.33 3.33 1.33 2.44
time (sec) N/A 0.073 0.02 0.032 1.168 0.815 0.338 1.298


















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 24 28 50 22 28
normalized size 1 1. 1. 0.96 1.12 2. 0.88 1.12
time (sec) N/A 0.014 0.009 0.037 0.968 0.832 0.118 1.3


















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 36 45 80 37 45
normalized size 1 1. 1. 0.9 1.12 2. 0.92 1.12
time (sec) N/A 0.02 0.012 0.039 0.955 0.769 0.141 1.237


















Problem 697 Optimal Rubi Mathematica Maple 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 53 48 61 107 51 61
normalized size 1 1. 1. 0.91 1.15 2.02 0.96 1.15
time (sec) N/A 0.026 0.017 0.036 0.978 0.865 0.162 1.559


















Problem 698 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 32 32 32 26 0 208 0 39
normalized size 1 1. 1. 0.81 0. 6.5 0. 1.22
time (sec) N/A 0.027 0.013 0.189 0. 0.909 0. 1.235


















Problem 699 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 34 34 34 28 0 207 0 36
normalized size 1 1. 1. 0.82 0. 6.09 0. 1.06
time (sec) N/A 0.029 0.013 0.191 0. 0.816 0. 1.318


















Problem 700 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 53 53 51 42 0 278 0 59
normalized size 1 1. 0.96 0.79 0. 5.25 0. 1.11
time (sec) N/A 0.035 0.017 0.182 0. 0.791 0. 1.304


















Problem 701 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 57 57 55 48 0 277 0 61
normalized size 1 1. 0.96 0.84 0. 4.86 0. 1.07
time (sec) N/A 0.036 0.017 0.155 0. 0.786 0. 1.257


















Problem 702 Optimal Rubi Mathematica Maple 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 20 22 23 65 24 23
normalized size 1 1. 0.74 0.81 0.85 2.41 0.89 0.85
time (sec) N/A 0.011 0.023 0.022 0.957 0.917 0.319 1.261


















Problem 703 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 27 19 11
normalized size 1 1. 1. 0.9 1.1 2.7 1.9 1.1
time (sec) N/A 0.023 0.006 0.021 1.449 0.857 0.121 1.196


















Problem 704 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 10 10 10 18 23 58 19 24
normalized size 1 1. 1. 1.8 2.3 5.8 1.9 2.4
time (sec) N/A 0.024 0.006 0.022 0.959 0.871 0.116 1.222


















Problem 705 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 18 18 18 15 19 28 0 28
normalized size 1 1. 1. 0.83 1.06 1.56 0. 1.56
time (sec) N/A 0.026 0.012 0.06 1. 0.92 0. 1.312


















Problem 706 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 20 20 19 18 35 127 17 45
normalized size 1 1. 0.95 0.9 1.75 6.35 0.85 2.25
time (sec) N/A 0.043 0.012 0.021 1.459 0.917 0.133 1.273


















Problem 707 Optimal Rubi Mathematica Maple 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 24 22 28 63 20 28
normalized size 1 1. 0.55 0.5 0.64 1.43 0.45 0.64
time (sec) N/A 0.035 0.007 0.021 0.964 0.808 0.089 1.408


















Problem 708 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 26 24 41 61 24 31
normalized size 1 1. 0.5 0.46 0.79 1.17 0.46 0.6
time (sec) N/A 0.039 0.01 0.02 0.962 0.83 0.094 1.275


















Problem 709 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 23 30 97 29 30
normalized size 1 1. 0.97 0.7 0.91 2.94 0.88 0.91
time (sec) N/A 0.026 0.012 0.057 1.439 0.714 1.353 1.287


















Problem 710 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 33 46 50 95 41 72
normalized size 1 1. 0.66 0.92 1. 1.9 0.82 1.44
time (sec) N/A 0.036 0.02 0.021 0.975 0.873 3.564 1.313


















Problem 711 Optimal Rubi Mathematica Maple 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 48 62 82 163 61 101
normalized size 1 1. 0.59 0.77 1.01 2.01 0.75 1.25
time (sec) N/A 0.045 0.027 0.057 0.983 0.863 60.025 1.285


















Problem 712 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 47 59 131 49 59
normalized size 1 1. 1. 0.85 1.07 2.38 0.89 1.07
time (sec) N/A 0.086 0.029 0.021 0.974 0.926 0.142 1.266


















Problem 713 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 35 35 32 27 35 113 0 35
normalized size 1 1. 0.91 0.77 1. 3.23 0. 1.
time (sec) N/A 0.16 0.028 0.058 1.468 0.932 0. 1.306


















Problem 714 Optimal Rubi Mathematica Maple 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 29 24 31 63 24 31
normalized size 1 1. 0.91 0.75 0.97 1.97 0.75 0.97
time (sec) N/A 0.209 0.024 0.021 0.959 0.87 0.144 1.254


















Problem 715 Optimal Rubi Mathematica Maple 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 4 12 3 4
normalized size 1 1. 1. 0.8 0.8 2.4 0.6 0.8
time (sec) N/A 0.005 0.005 0.017 0.964 0.798 0.638 1.295


















Problem 716 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 7 7 7 5 5 18 5 0
normalized size 1 1. 1. 0.71 0.71 2.57 0.71 0.
time (sec) N/A 0.015 0.011 0.021 0.964 0.84 0.975 0.


















Problem 717 Optimal Rubi Mathematica Maple 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 20 17 22 57 17 32
normalized size 1 1. 0.91 0.77 1. 2.59 0.77 1.45
time (sec) N/A 0.018 0.012 0.02 0.968 0.737 0.1 1.204


















Problem 718 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 4 4 4 4 9 18 15 4
normalized size 1 1. 1. 1. 2.25 4.5 3.75 1.
time (sec) N/A 0.011 0.003 0.02 1.451 0.761 0.103 1.222


















Problem 719 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 11 14 27 10 14
normalized size 1 1. 1. 0.85 1.08 2.08 0.77 1.08
time (sec) N/A 0.012 0.009 0.022 0.966 0.798 0.075 1.316


















Problem 720 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 6 6 6 6 26 51 15 22
normalized size 1 1. 1. 1. 4.33 8.5 2.5 3.67
time (sec) N/A 0.01 0.002 0.02 0.968 0.795 0.101 1.27


















Problem 721 Optimal Rubi Mathematica Maple 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 11 11 14 27 10 14
normalized size 1 1. 0.73 0.73 0.93 1.8 0.67 0.93
time (sec) N/A 0.014 0.011 0.018 0.961 0.889 0.075 1.299


















Problem 722 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 18 28 51 15 23
normalized size 1 1. 1. 0.82 1.27 2.32 0.68 1.05
time (sec) N/A 0.028 0.007 0.023 0.967 0.843 0.111 1.303


















Problem 723 Optimal Rubi Mathematica Maple 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 29 25 32 74 26 41
normalized size 1 1. 0.94 0.81 1.03 2.39 0.84 1.32
time (sec) N/A 0.037 0.013 0.026 0.968 0.856 0.134 1.205


















Problem 724 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 21 27 30 57 29 0
normalized size 1 1. 0.95 1.23 1.36 2.59 1.32 0.
time (sec) N/A 0.027 0.012 0.027 1.453 0.651 0.29 0.


















Problem 725 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 34 34 23 40 54 63 42 0
normalized size 1 1. 0.68 1.18 1.59 1.85 1.24 0.
time (sec) N/A 0.031 0.021 0.03 1.455 0.843 0.316 0.


















Problem 726 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 23 23 23 0 0 70 0 0
normalized size 1 1. 1. 0. 0. 3.04 0. 0.
time (sec) N/A 0.048 0.075 0.137 0. 0.734 0. 0.


















Problem 727 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 41 51 100 101 54 47
normalized size 1 1. 0.62 0.77 1.52 1.53 0.82 0.71
time (sec) N/A 0.184 0.023 0.025 0.976 0.755 158.37 1.224


















Problem 728 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 19 20 26 74 20 27
normalized size 1 1. 1.58 1.67 2.17 6.17 1.67 2.25
time (sec) N/A 0.013 0.006 0.026 0.968 0.822 0.112 1.223


















Problem 729 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 12 12 0 28 8 43
normalized size 1 1. 0.75 0.75 0. 1.75 0.5 2.69
time (sec) N/A 0.074 0.033 0.019 0. 0.788 0.094 1.248


















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 16 16 16 14 18 31 10 18
normalized size 1 1. 1. 0.88 1.12 1.94 0.62 1.12
time (sec) N/A 0.058 0.035 0.02 0.975 0.883 0.092 1.305


















Problem 731 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 33 33 33 23 100 103 0 45
normalized size 1 1. 1. 0.7 3.03 3.12 0. 1.36
time (sec) N/A 0.032 0.016 0.065 1.017 0.887 0. 1.247


















Problem 732 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 9 11 0 8 11
normalized size 1 1. 1. 0.82 1. 0. 0.73 1.
time (sec) N/A 0.025 0.008 0.066 0.966 0. 0.148 1.287


















Problem 733 Optimal Rubi Mathematica Maple 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 19 5 7
normalized size 1 1. 1. 1. 1.17 3.17 0.83 1.17
time (sec) N/A 0.02 0.03 0.017 0.98 0.899 0.095 1.225


















Problem 734 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 19 19 19 17 26 46 14 0
normalized size 1 1. 1. 0.89 1.37 2.42 0.74 0.
time (sec) N/A 0.015 0.004 0.022 1.057 0.801 0.745 0.


















Problem 735 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 19 19 16 16 49 31 12 27
normalized size 1 1. 0.84 0.84 2.58 1.63 0.63 1.42
time (sec) N/A 0.1 0.014 0.019 1.059 0.854 0.088 1.245


















Problem 736 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 41 60 85 0 94 1910
normalized size 1 1. 0.73 1.07 1.52 0. 1.68 34.11
time (sec) N/A 0.041 0.039 0.043 1.01 0. 0.148 1.306


















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 15 15 12 14 18 32 10 18
normalized size 1 1. 0.8 0.93 1.2 2.13 0.67 1.2
time (sec) N/A 0.009 0.002 0.024 0.965 0.761 0.094 1.191


















Problem 738 Optimal Rubi Mathematica Maple 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 12 16 27 10 15
normalized size 1 1. 1. 0.86 1.14 1.93 0.71 1.07
time (sec) N/A 0.011 0.003 0.018 0.963 0.648 0.139 1.23


















Problem 739 Optimal Rubi Mathematica Maple 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 23 8 15
normalized size 1 1. 1. 1.09 1.36 2.09 0.73 1.36
time (sec) N/A 0.011 0.002 0.022 0.974 0.722 0.098 1.296


















Problem 740 Optimal Rubi Mathematica Maple 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 21 27 38 17 27
normalized size 1 1. 1. 1.05 1.35 1.9 0.85 1.35
time (sec) N/A 0.006 0.003 0.018 0.98 0.795 0.113 1.209


















Problem 741 Optimal Rubi Mathematica Maple 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 19 19 46 49 15 22
normalized size 1 1. 0.59 0.59 1.44 1.53 0.47 0.69
time (sec) N/A 0.044 0.019 0.019 1.008 0.701 0.092 1.264


















Problem 742 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 28 36 111 36 36
normalized size 1 1. 1. 0.85 1.09 3.36 1.09 1.09
time (sec) N/A 0.009 0.016 0.037 0.977 0.792 0.102 1.274


















Problem 743 Optimal Rubi Mathematica Maple 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 21 12 15 30 10 15
normalized size 1 1. 1. 0.57 0.71 1.43 0.48 0.71
time (sec) N/A 0.011 0.003 0.019 0.949 0.883 0.139 1.215


















Problem 744 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 9 11 0 0 0
normalized size 1 1. 1. 0.82 1. 0. 0. 0.
time (sec) N/A 0.041 0.005 0.042 1.094 0. 0. 0.


















Problem 745 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0
normalized size 1 1. 1. 0.83 1.83 0. 0. 0.
time (sec) N/A 0.259 0.092 0.048 1.138 0. 0. 0.


















Problem 746 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 10 12 0 0 0
normalized size 1 1. 1. 0.83 1. 0. 0. 0.
time (sec) N/A 0.13 0.045 0.039 1.083 0. 0. 0.


















Problem 747 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.183 0.122 0.033 0. 0. 0. 0.


















Problem 748 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.07 0.032 0. 0. 0. 0.


















Problem 749 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 50 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.097 0.029 0. 0. 0. 0.


















Problem 750 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 16 31 0 0 0
normalized size 1 1. 1. 0.8 1.55 0. 0. 0.
time (sec) N/A 0.597 0.161 0.085 1.135 0. 0. 0.


















Problem 751 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 65 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.166 0.188 0.041 0. 0. 0. 0.


















Problem 752 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 9 11 0 12 11
normalized size 1 1. 1. 0.69 0.85 0. 0.92 0.85
time (sec) N/A 0.024 0.009 0.028 0.947 0. 0.221 1.238


















Problem 753 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 9 11 0 0 0
normalized size 1 1. 1. 0.69 0.85 0. 0. 0.
time (sec) N/A 0.066 0.005 0.042 1.1 0. 0. 0.


















Problem 754 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.048 0.017 0. 0. 0. 0.


















Problem 755 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0
normalized size 1 1. 1. 0.83 1.83 0. 0. 0.
time (sec) N/A 0.337 0.092 0.029 1.084 0. 0. 0.


















Problem 756 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0
normalized size 1 1. 1. 0.83 1.83 0. 0. 0.
time (sec) N/A 0.144 0.047 0.043 1.105 0. 0. 0.


















Problem 757 Optimal Rubi Mathematica Maple 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 32 74 22 38
normalized size 1 1. 1. 0.74 1.03 2.39 0.71 1.23
time (sec) N/A 0.049 0.008 0.02 0.977 0.674 0.117 1.257


















Problem 758 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 11 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 2.354 0.024 0. 0. 0. 0.


















Problem 759 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 15 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.048 0.028 0. 0. 0. 0.


















Problem 760 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 13 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.018 0.029 0. 0. 0. 0.


















Problem 761 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 15 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.033 0.028 0. 0. 0. 0.


















Problem 762 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 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.038 0.02 0. 0. 0. 0.


















Problem 763 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 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.044 0.021 0. 0. 0. 0.


















Problem 764 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.017 0.02 0. 0. 0. 0.


















Problem 765 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.019 0.022 0. 0. 0. 0.


















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 36 36 36 37 88 124 143 63
normalized size 1 1. 1. 1.03 2.44 3.44 3.97 1.75
time (sec) N/A 0.099 0.046 0.038 1.155 0.914 65.84 1.681


















Problem 767 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 241 49 0 0 0
normalized size 1 1. 1. 6.51 1.32 0. 0. 0.
time (sec) N/A 0.035 0.016 0.24 1.09 0. 0. 0.


















Problem 768 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 0 68 0 0 0
normalized size 1 1. 1. 0. 1.36 0. 0. 0.
time (sec) N/A 0.044 0.022 0.352 1.245 0. 0. 0.


















Problem 769 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 0 51 0 105 0
normalized size 1 1. 1. 0. 1.38 0. 2.84 0.
time (sec) N/A 0.017 0.008 0.165 1.049 0. 1.875 0.


















Problem 770 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 41 41 41 0 57 0 0 0
normalized size 1 1. 1. 0. 1.39 0. 0. 0.
time (sec) N/A 0.016 0.008 0.181 1.119 0. 0. 0.


















Problem 771 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 52 52 52 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.014 0.294 0. 0. 0. 0.


















Problem 772 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 56 56 56 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.014 0.34 0. 0. 0. 0.


















Problem 773 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 80 80 74 0 0 203 0 0
normalized size 1 1. 0.92 0. 0. 2.54 0. 0.
time (sec) N/A 0.044 0.038 0.051 0. 0.754 0. 0.


















Problem 774 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 0 28 0 0 0
normalized size 1 1. 1. 0. 1.65 0. 0. 0.
time (sec) N/A 0.635 0.22 0.026 1.092 0. 0. 0.









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 [64] had the largest ratio of [ 0.7368 ]

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. 13 0.154







2 A 2 2 1. 13 0.154







3 A 3 3 1. 19 0.158







4 A 2 2 1. 21 0.095







5 A 2 2 1. 13 0.154







6 A 3 3 1. 19 0.158







7 A 2 2 1. 21 0.095







8 A 2 2 1. 13 0.154







9 A 3 3 1. 19 0.158







10 A 2 2 1. 21 0.095







11 A 2 2 1. 13 0.154







12 A 3 3 1. 19 0.158







13 A 2 2 1. 21 0.095







14 A 2 2 1. 17 0.118







15 A 3 3 1. 17 0.176







16 A 2 2 1. 29 0.069







17 A 3 3 1. 44 0.068







18 A 3 2 1. 15 0.133







19 A 3 2 1. 15 0.133







20 A 2 2 1. 15 0.133







21 A 3 2 1. 15 0.133







22 A 3 2 1. 17 0.118







23 A 3 2 1. 17 0.118







24 A 2 2 1. 17 0.118







25 A 3 2 1. 17 0.118







26 A 3 2 1. 19 0.105







27 A 3 2 1. 16 0.125







28 A 3 2 1. 18 0.111







29 A 3 2 1. 18 0.111







30 A 3 2 1. 18 0.111







31 A 3 2 1. 18 0.111







32 A 3 2 1. 18 0.111







33 A 2 2 1. 22 0.091







34 A 3 3 1. 23 0.13







35 A 3 3 1. 23 0.13







36 A 3 2 1. 23 0.087







37 A 4 3 1. 23 0.13







38 A 2 2 1. 13 0.154







39 A 2 2 1. 15 0.133







40 A 3 5 1. 16 0.312







41 A 8 7 1. 18 0.389







42 A 10 8 1. 18 0.444







43 A 2 2 1. 15 0.133







44 A 6 7 1. 16 0.438







45 A 9 8 1. 18 0.444







46 A 11 9 1. 18 0.5







47 A 3 3 1. 15 0.2







48 A 8 7 1. 16 0.438







49 A 16 12 1. 18 0.667







50 A 21 11 1. 18 0.611







51 A 4 3 1. 15 0.2







52 A 11 7 1. 16 0.438







53 A 24 12 1. 18 0.667







54 A 2 2 1. 15 0.133







55 A 6 6 1. 17 0.353







56 A 9 7 1. 19 0.368







57 A 11 8 1. 19 0.421







58 A 2 2 1. 15 0.133







59 A 6 6 1. 17 0.353







60 A 6 6 1. 19 0.316







61 A 7 7 1. 19 0.368







62 A 4 4 1. 15 0.267







63 A 22 9 1. 17 0.529







64 A 43 14 1. 19 0.737







65 A 3 3 1. 25 0.12







66 A 2 2 1. 25 0.08







67 A 2 2 1. 34 0.059







68 A 2 2 1. 34 0.059







69 A 1 1 1. 13 0.077







70 C 1 1 0.31 13 0.077







71 C 1 1 0.37 13 0.077







72 A 4 2 1. 13 0.154







73 A 3 2 1. 13 0.154







74 A 2 2 1. 13 0.154







75 A 1 1 1. 11 0.091







76 A 1 1 1. 13 0.077







77 A 2 2 1. 13 0.154







78 A 3 2 1. 13 0.154







79 A 4 2 1. 13 0.154







80 A 1 1 1. 13 0.077







81 A 1 1 1. 13 0.077







82 A 1 1 1. 13 0.077







83 A 1 1 1. 13 0.077







84 A 5 2 1. 13 0.154







85 A 4 2 1. 13 0.154







86 A 3 2 1. 13 0.154







87 A 2 2 1. 13 0.154







88 A 1 1 1. 9 0.111







89 A 2 2 1. 13 0.154







90 A 3 2 1. 13 0.154







91 A 4 2 1. 13 0.154







92 A 5 2 1. 13 0.154







93 A 1 1 1. 13 0.077







94 A 1 1 1. 13 0.077







95 A 1 1 1. 13 0.077







96 C 1 1 0.31 13 0.077







97 C 1 1 0.37 13 0.077







98 A 4 2 1. 13 0.154







99 A 3 2 1. 13 0.154







100 A 2 2 1. 13 0.154







101 A 1 1 1. 13 0.077







102 A 1 1 1. 13 0.077







103 A 2 2 1. 13 0.154







104 A 3 2 1. 13 0.154







105 A 4 2 1. 13 0.154







106 A 1 1 1. 13 0.077







107 A 1 1 1. 13 0.077







108 A 1 1 1. 13 0.077







109 A 1 1 1. 13 0.077







110 A 1 1 1. 11 0.091







111 A 1 1 1. 9 0.111







112 A 1 1 1. 13 0.077







113 A 1 1 1. 13 0.077







114 A 1 1 1. 11 0.091







115 A 1 1 1. 13 0.077







116 A 1 1 1. 13 0.077







117 A 1 1 1. 13 0.077







118 A 4 3 1. 13 0.231







119 A 3 3 1. 11 0.273







120 A 2 2 1. 9 0.222







121 A 1 1 1. 13 0.077







122 A 1 1 1. 13 0.077







123 A 2 2 1. 13 0.154







124 A 3 2 1. 13 0.154







125 A 4 2 1. 13 0.154







126 C 1 1 0.34 13 0.077







127 C 1 1 0.27 13 0.077







128 A 1 1 1. 13 0.077







129 A 1 1 1. 13 0.077







130 A 1 1 1. 13 0.077







131 A 4 2 1. 13 0.154







132 A 3 2 1. 13 0.154







133 A 2 2 1. 11 0.182







134 A 1 1 1. 13 0.077







135 A 1 1 1. 13 0.077







136 A 2 2 1. 13 0.154







137 A 3 2 1. 13 0.154







138 A 4 2 1. 13 0.154







139 C 1 1 0.35 13 0.077







140 C 1 1 0.29 13 0.077







141 A 1 1 1. 13 0.077







142 A 1 1 1. 13 0.077







143 A 6 4 1. 13 0.308







144 A 5 4 1. 13 0.308







145 A 4 4 1. 13 0.308







146 A 3 3 1. 9 0.333







147 A 2 2 1. 13 0.154







148 A 3 3 1. 13 0.231







149 A 4 3 1. 13 0.231







150 A 5 3 1. 13 0.231







151 A 6 3 1. 13 0.231







152 A 1 1 1. 13 0.077







153 A 1 1 1. 13 0.077







154 A 1 1 1. 13 0.077







155 A 1 1 1. 13 0.077







156 A 1 1 1. 13 0.077







157 A 4 2 1. 13 0.154







158 A 3 2 1. 13 0.154







159 A 2 2 1. 13 0.154







160 A 1 1 1. 13 0.077







161 A 1 1 1. 13 0.077







162 A 2 2 1. 13 0.154







163 A 3 2 1. 13 0.154







164 A 4 2 1. 13 0.154







165 C 1 1 0.35 13 0.077







166 C 1 1 0.29 13 0.077







167 A 1 1 1. 13 0.077







168 A 1 1 1. 13 0.077







169 A 1 1 1. 11 0.091







170 A 1 1 1. 9 0.111







171 A 1 1 1. 13 0.077







172 A 1 1 1. 13 0.077







173 A 1 1 1. 13 0.077







174 A 1 1 1. 13 0.077







175 A 1 1 1. 13 0.077







176 A 1 1 1. 13 0.077







177 A 1 1 1. 11 0.091







178 A 1 1 1. 9 0.111







179 A 1 1 1. 13 0.077







180 A 1 1 1. 13 0.077







181 A 1 1 1. 13 0.077







182 A 1 1 1. 13 0.077







183 A 3 2 1. 17 0.118







184 A 2 2 1. 17 0.118







185 A 1 1 1. 15 0.067







186 A 1 1 1. 13 0.077







187 A 2 2 1. 17 0.118







188 A 3 2 1. 17 0.118







189 A 4 3 1. 19 0.158







190 A 3 3 1. 19 0.158







191 A 2 2 1. 19 0.105







192 A 3 3 1. 19 0.158







193 A 4 3 1. 19 0.158







194 A 2 2 1. 7 0.286







195 A 8 4 1. 15 0.267







196 A 6 4 1. 15 0.267







197 A 4 3 1. 13 0.231







198 A 1 1 1. 11 0.091







199 A 0 0 0. 0 0.







200 A 0 0 0. 0 0.







201 A 0 0 0. 0 0.







202 A 5 4 1. 15 0.267







203 A 4 3 1. 13 0.231







204 A 1 1 1. 11 0.091







205 A 0 0 0. 0 0.







206 A 0 0 0. 0 0.







207 A 0 0 0. 0 0.







208 A 8 5 1. 33 0.152







209 A 7 5 1. 33 0.152







210 A 6 5 1. 33 0.152







211 A 5 4 1. 31 0.129







212 A 2 2 1. 29 0.069







213 A 0 0 0. 0 0.







214 A 0 0 0. 0 0.







215 A 3 3 1. 11 0.273







216 A 13 5 1. 15 0.333







217 A 12 5 1. 15 0.333







218 A 11 4 1. 15 0.267







219 A 7 4 1. 13 0.308







220 A 2 2 1. 11 0.182







221 A 4 4 1. 15 0.267







222 A 9 7 1. 15 0.467







223 A 18 7 1. 15 0.467







224 A 19 6 1. 15 0.4







225 A 14 6 1. 15 0.4







226 A 11 6 1. 15 0.4







227 A 7 6 1. 13 0.462







228 A 3 3 1. 11 0.273







229 A 0 0 0. 0 0.







230 A 0 0 0. 0 0.







231 A 0 0 0. 0 0.







232 A 8 5 1. 15 0.333







233 A 7 5 1. 15 0.333







234 A 6 5 1. 15 0.333







235 A 4 3 1. 13 0.231







236 A 1 1 1. 11 0.091







237 A 0 0 0. 0 0.







238 A 0 0 0. 0 0.







239 A 0 0 0. 0 0.







240 A 0 0 0. 0 0.







241 A 0 0 0. 0 0.







242 A 1 1 1. 13 0.077







243 A 0 0 0. 0 0.







244 A 0 0 0. 0 0.







245 A 0 0 0. 0 0.







246 A 0 0 0. 0 0.







247 A 6 3 1. 15 0.2







248 A 5 3 1. 15 0.2







249 A 4 3 1. 13 0.231







250 A 1 1 1. 11 0.091







251 A 0 0 0. 0 0.







252 A 0 0 0. 0 0.







253 A 0 0 0. 0 0.







254 A 1 1 1. 21 0.048







255 C 1 1 0.3 21 0.048







256 C 1 1 0.35 21 0.048







257 A 4 2 1. 21 0.095







258 A 3 2 1. 21 0.095







259 A 2 2 1. 21 0.095







260 A 1 1 1. 19 0.053







261 A 1 1 1. 21 0.048







262 A 2 2 1. 21 0.095







263 A 3 2 1. 21 0.095







264 A 4 2 1. 21 0.095







265 A 1 1 1. 21 0.048







266 A 1 1 1. 21 0.048







267 A 1 1 1. 21 0.048







268 A 1 1 1. 21 0.048







269 A 5 2 1. 21 0.095







270 A 4 2 1. 21 0.095







271 A 3 2 1. 21 0.095







272 A 2 2 1. 21 0.095







273 A 1 1 1. 13 0.077







274 A 2 2 1. 21 0.095







275 A 3 2 1. 21 0.095







276 A 4 2 1. 21 0.095







277 A 5 2 1. 21 0.095







278 A 1 1 1. 21 0.048







279 A 1 1 1. 21 0.048







280 A 1 1 1. 21 0.048







281 C 1 1 0.3 21 0.048







282 C 1 1 0.35 21 0.048







283 A 4 2 1. 21 0.095







284 A 3 2 1. 21 0.095







285 A 2 2 1. 21 0.095







286 A 1 1 1. 21 0.048







287 A 1 1 1. 21 0.048







288 A 2 2 1. 21 0.095







289 A 3 2 1. 21 0.095







290 A 4 2 1. 21 0.095







291 A 1 1 1. 21 0.048







292 A 1 1 1. 21 0.048







293 A 1 1 1. 21 0.048







294 A 1 1 1. 19 0.053







295 A 1 1 1. 13 0.077







296 A 1 1 1. 21 0.048







297 A 1 1 1. 21 0.048







298 A 1 1 1. 21 0.048







299 A 3 3 1. 15 0.2







300 A 4 3 1. 15 0.2







301 A 1 1 1. 21 0.048







302 A 1 1 1. 21 0.048







303 A 1 1 1. 21 0.048







304 A 4 3 1. 21 0.143







305 A 3 3 1. 19 0.158







306 A 2 2 1. 13 0.154







307 A 1 1 1. 21 0.048







308 A 1 1 1. 21 0.048







309 A 2 2 1. 21 0.095







310 A 3 2 1. 21 0.095







311 A 4 2 1. 21 0.095







312 C 1 1 0.32 21 0.048







313 C 1 1 0.26 21 0.048







314 A 1 1 1. 21 0.048







315 A 1 1 1. 21 0.048







316 A 1 1 1. 21 0.048







317 A 4 2 1. 21 0.095







318 A 3 2 1. 21 0.095







319 A 2 2 1. 19 0.105







320 A 1 1 1. 21 0.048







321 A 1 1 1. 21 0.048







322 A 2 2 1. 21 0.095







323 A 3 2 1. 21 0.095







324 A 4 2 1. 21 0.095







325 C 1 1 0.32 21 0.048







326 C 1 1 0.27 21 0.048







327 A 1 1 1. 21 0.048







328 A 1 1 1. 21 0.048







329 A 6 4 1. 21 0.19







330 A 5 4 1. 21 0.19







331 A 4 4 1. 21 0.19







332 A 3 3 1. 13 0.231







333 A 2 2 1. 21 0.095







334 A 3 3 1. 21 0.143







335 A 4 3 1. 21 0.143







336 A 5 3 1. 21 0.143







337 A 6 3 1. 21 0.143







338 A 1 1 1. 21 0.048







339 A 1 1 1. 21 0.048







340 A 1 1 1. 21 0.048







341 A 1 1 1. 21 0.048







342 A 1 1 1. 21 0.048







343 A 4 2 1. 21 0.095







344 A 3 2 1. 21 0.095







345 A 2 2 1. 21 0.095







346 A 1 1 1. 21 0.048







347 A 1 1 1. 21 0.048







348 A 2 2 1. 21 0.095







349 A 3 2 1. 21 0.095







350 A 4 2 1. 21 0.095







351 C 1 1 0.32 21 0.048







352 C 1 1 0.27 21 0.048







353 A 1 1 1. 21 0.048







354 A 1 1 1. 19 0.053







355 A 1 1 1. 13 0.077







356 A 1 1 1. 21 0.048







357 A 1 1 1. 21 0.048







358 A 1 1 1. 21 0.048







359 A 1 1 1. 21 0.048







360 A 1 1 1. 21 0.048







361 A 1 1 1. 21 0.048







362 A 1 1 1. 19 0.053







363 A 1 1 1. 13 0.077







364 A 1 1 1. 21 0.048







365 A 1 1 1. 21 0.048







366 A 1 1 1. 21 0.048







367 A 1 1 1. 21 0.048







368 C 1 1 0.28 25 0.04







369 C 1 1 0.33 25 0.04







370 A 4 2 1. 25 0.08







371 A 3 2 1. 25 0.08







372 A 2 2 1. 25 0.08







373 A 1 1 1. 23 0.043







374 A 1 1 1. 21 0.048







375 A 2 2 1. 25 0.08







376 A 3 2 1. 25 0.08







377 A 4 2 1. 25 0.08







378 A 1 1 1. 25 0.04







379 A 1 1 1. 25 0.04







380 A 2 2 1. 25 0.08







381 A 2 2 1. 26 0.077







382 A 14 4 1. 21 0.19







383 A 11 4 1. 21 0.19







384 A 8 4 1. 21 0.19







385 A 6 4 1. 21 0.19







386 A 4 3 1. 19 0.158







387 A 1 1 1. 13 0.077







388 A 0 0 0. 0 0.







389 A 0 0 0. 0 0.







390 A 0 0 0. 0 0.







391 A 6 4 1. 19 0.21







392 A 5 4 1. 19 0.21







393 A 4 3 1. 17 0.176







394 A 1 1 1. 11 0.091







395 A 0 0 0. 0 0.







396 A 0 0 0. 0 0.







397 A 4 4 1. 21 0.19







398 A 9 7 1. 21 0.333







399 A 18 7 1. 21 0.333







400 A 36 7 1. 21 0.333







401 A 13 5 1. 19 0.263







402 A 12 5 1. 19 0.263







403 A 11 4 1. 19 0.21







404 A 7 4 1. 17 0.235







405 A 2 2 1. 11 0.182







406 A 4 4 1. 19 0.21







407 A 9 7 1. 19 0.368







408 A 18 7 1. 19 0.368







409 A 14 6 1. 19 0.316







410 A 11 6 1. 19 0.316







411 A 7 6 1. 17 0.353







412 A 3 3 1. 11 0.273







413 A 0 0 0. 0 0.







414 A 0 0 0. 0 0.







415 A 0 0 0. 0 0.







416 A 7 5 1. 19 0.263







417 A 6 5 1. 19 0.263







418 A 4 3 1. 17 0.176







419 A 1 1 1. 11 0.091







420 A 0 0 0. 0 0.







421 A 0 0 0. 0 0.







422 A 5 5 1. 26 0.192







423 A 12 8 1. 26 0.308







424 A 24 8 1. 26 0.308







425 A 48 8 1. 26 0.308







426 A 10 4 1. 16 0.25







427 A 6 4 1. 16 0.25







428 A 3 3 1. 14 0.214







429 A 2 2 1. 12 0.167







430 A 0 0 0. 0 0.







431 A 0 0 0. 0 0.







432 A 10 4 1. 17 0.235







433 A 6 4 1. 17 0.235







434 A 3 3 1. 15 0.2







435 A 2 2 1. 13 0.154







436 A 0 0 0. 0 0.







437 A 0 0 0. 0 0.







438 A 11 5 1. 17 0.294







439 A 7 5 1. 17 0.294







440 A 4 4 1. 15 0.267







441 A 3 3 1. 13 0.231







442 A 0 0 0. 0 0.







443 A 0 0 0. 0 0.







444 A 10 4 1. 20 0.2







445 A 6 4 1. 20 0.2







446 A 3 3 1. 18 0.167







447 A 0 0 0. 0 0.







448 A 0 0 0. 0 0.







449 A 0 0 0. 0 0.







450 A 2 2 1. 21 0.095







451 A 3 3 1. 21 0.143







452 A 1 1 1. 19 0.053







453 A 1 1 1. 21 0.048







454 A 3 3 1. 21 0.143







455 A 2 2 1. 21 0.095







456 A 2 2 1. 20 0.1







457 A 3 3 1. 20 0.15







458 A 1 1 1. 18 0.056







459 A 1 1 1. 20 0.05







460 A 3 3 1. 20 0.15







461 A 2 2 1. 20 0.1







462 A 8 4 1. 20 0.2







463 A 7 2 1. 20 0.1







464 A 4 2 1. 17 0.118







465 A 4 2 1. 18 0.111







466 A 7 4 1. 20 0.2







467 A 9 3 1. 23 0.13







468 A 7 2 1. 23 0.087







469 A 4 2 1. 20 0.1







470 A 4 2 1. 21 0.095







471 A 7 3 1. 23 0.13







472 A 9 4 1. 23 0.174







473 A 3 2 1. 13 0.154







474 A 3 2 1. 15 0.133







475 A 3 2 1. 14 0.143







476 A 3 2 1. 16 0.125







477 A 3 2 1. 15 0.133







478 A 3 2 1. 17 0.118







479 A 3 2 1. 16 0.125







480 A 3 2 1. 18 0.111







481 A 2 2 1. 13 0.154







482 A 2 2 1. 15 0.133







483 A 2 2 1. 14 0.143







484 A 2 2 1. 16 0.125







485 A 4 4 1. 15 0.267







486 A 4 4 1. 15 0.267







487 A 4 4 1. 16 0.25







488 A 4 4 1. 16 0.25







489 A 3 3 1. 15 0.2







490 A 3 3 1. 17 0.176







491 A 3 3 1. 16 0.188







492 A 3 3 1. 18 0.167







493 A 2 2 1. 17 0.118







494 A 2 2 1. 17 0.118







495 A 2 2 1. 18 0.111







496 A 2 2 1. 18 0.111







497 A 3 2 1. 15 0.133







498 A 3 2 1. 17 0.118







499 A 3 2 1. 16 0.125







500 A 3 2 1. 18 0.111







501 A 5 4 1. 17 0.235







502 A 5 4 1. 19 0.21







503 A 5 4 1. 18 0.222







504 A 5 4 1. 20 0.2







505 A 3 2 1. 14 0.143







506 A 6 5 1. 14 0.357







507 A 6 5 1. 12 0.417







508 A 7 7 1. 14 0.5







509 A 7 7 1. 16 0.438







510 A 11 11 1. 16 0.688







511 A 9 5 1. 16 0.312







512 A 9 5 1. 14 0.357







513 A 9 5 1. 16 0.312







514 A 9 5 1. 18 0.278







515 A 12 10 1. 18 0.556







516 A 11 6 1. 18 0.333







517 A 11 6 1. 16 0.375







518 A 11 6 1. 18 0.333







519 A 11 6 1. 20 0.3







520 A 3 2 1. 23 0.087







521 A 7 7 1. 25 0.28







522 A 7 7 1. 24 0.292







523 A 11 11 1. 25 0.44







524 A 9 5 1. 27 0.185







525 A 12 10 1. 27 0.37







526 A 11 6 1. 29 0.207







527 A 7 6 1. 37 0.162







528 A 7 6 1. 36 0.167







529 A 2 2 1. 12 0.167







530 A 7 7 1. 14 0.5







531 A 7 7 1. 16 0.438







532 A 2 2 1. 21 0.095







533 A 7 7 1. 23 0.304







534 A 7 7 1. 25 0.28







535 A 2 2 1. 12 0.167







536 A 4 3 1. 16 0.188







537 A 4 4 1. 16 0.25







538 A 8 5 1. 18 0.278







539 A 10 6 1. 20 0.3







540 A 4 4 1. 25 0.16







541 A 8 5 1. 27 0.185







542 A 10 6 1. 29 0.207







543 A 0 0 0. 0 0.







544 A 6 3 1. 50 0.06







545 A 5 3 1. 50 0.06







546 A 4 3 1. 48 0.062







547 A 3 2 1. 21 0.095







548 A 0 0 0. 0 0.







549 A 0 0 0. 0 0.







550 A 0 0 0. 0 0.







551 A 6 3 1. 47 0.064







552 A 5 3 1. 47 0.064







553 A 4 3 1. 45 0.067







554 A 1 1 1. 14 0.071







555 A 0 0 0. 0 0.







556 A 0 0 0. 0 0.







557 A 3 3 1. 37 0.081







558 A 2 2 1. 36 0.056







559 A 2 2 1. 36 0.056







560 A 2 2 1. 35 0.057







561 A 2 2 1. 36 0.056







562 A 2 2 1. 36 0.056







563 A 4 3 1. 10 0.3







564 A 3 3 1. 8 0.375







565 A 2 2 1. 7 0.286







566 A 2 2 1. 10 0.2







567 A 3 3 1. 10 0.3







568 A 4 3 1. 10 0.3







569 A 3 2 1. 10 0.2







570 A 2 2 1. 9 0.222







571 A 4 3 1. 12 0.25







572 A 13 7 1. 44 0.159







573 A 11 6 1. 44 0.136







574 A 9 5 1. 42 0.119







575 A 7 6 1. 37 0.162







576 A 0 0 0. 0 0.







577 A 0 0 0. 0 0.







578 A 9 5 1. 47 0.106







579 A 4 4 1. 18 0.222







580 A 4 4 1. 16 0.25







581 A 4 4 1. 14 0.286







582 A 4 4 1. 18 0.222







583 A 4 4 1. 18 0.222







584 A 4 4 1. 18 0.222







585 A 4 4 1. 20 0.2







586 A 4 3 1. 20 0.15







587 A 4 3 0.99 31 0.097







588 A 5 4 1. 31 0.129







589 A 5 4 1. 29 0.138







590 A 4 3 1. 20 0.15







591 A 4 3 1. 31 0.097







592 A 5 4 1. 31 0.129







593 A 5 4 1. 31 0.129







594 A 0 0 0. 0 0.







595 F 0 0 N/A 0 N/A







596 F 0 0 N/A 0 N/A







597 F 0 0 N/A 0 N/A







598 A 4 3 1. 20 0.15







599 A 0 0 0. 0 0.







600 A 0 0 0. 0 0.







601 A 0 0 0. 0 0.







602 A 8 7 0.99 31 0.226







603 A 8 7 1. 31 0.226







604 A 8 7 1. 29 0.241







605 A 7 6 1. 20 0.3







606 A 8 7 1. 31 0.226







607 A 8 7 1. 31 0.226







608 A 8 7 1. 31 0.226







609 A 0 0 0. 0 0.







610 F 0 0 N/A 0 N/A







611 F 0 0 N/A 0 N/A







612 F 0 0 N/A 0 N/A







613 A 7 6 1. 20 0.3







614 A 0 0 0. 0 0.







615 A 0 0 0. 0 0.







616 A 0 0 0. 0 0.







617 A 1 1 1. 21 0.048







618 A 1 1 1. 33 0.03







619 A 2 2 1. 31 0.065







620 A 5 3 1. 31 0.097







621 A 4 3 1. 31 0.097







622 A 3 3 1. 29 0.103







623 A 1 1 1. 19 0.053







624 A 2 2 1. 31 0.065







625 A 3 3 1. 31 0.097







626 A 4 3 1. 31 0.097







627 A 7 4 1. 33 0.121







628 A 6 4 1. 33 0.121







629 A 5 4 1. 33 0.121







630 A 4 4 1. 33 0.121







631 A 3 3 1. 33 0.091







632 A 4 4 1. 33 0.121







633 A 5 4 1. 33 0.121







634 A 6 4 1. 33 0.121







635 A 7 4 1. 33 0.121







636 A 2 2 1. 19 0.105







637 A 2 2 1. 13 0.154







638 A 2 2 1. 15 0.133







639 A 2 2 1. 15 0.133







640 A 3 3 1. 17 0.176







641 A 2 2 1. 9 0.222







642 A 3 3 1. 17 0.176







643 A 3 3 1. 18 0.167







644 A 2 2 1. 13 0.154







645 A 1 1 1. 11 0.091







646 A 2 1 1. 9 0.111







647 A 3 2 1. 17 0.118







648 A 2 2 1. 17 0.118







649 A 2 2 1. 15 0.133







650 A 3 2 1. 13 0.154







651 A 3 2 1. 16 0.125







652 A 2 2 1. 13 0.154







653 A 2 2 1. 13 0.154







654 A 4 3 1.17 23 0.13







655 A 4 3 1.2 23 0.13







656 A 4 3 1. 27 0.111







657 A 2 2 1. 15 0.133







658 A 1 1 1. 17 0.059







659 A 4 4 1. 15 0.267







660 A 3 3 1. 15 0.2







661 A 3 3 1. 15 0.2







662 A 3 3 1. 18 0.167







663 A 3 3 1. 11 0.273







664 A 3 3 1. 15 0.2







665 A 2 2 1. 15 0.133







666 A 2 2 1. 15 0.133







667 A 2 2 1. 17 0.118







668 A 2 2 1. 17 0.118







669 A 1 1 1. 9 0.111







670 A 1 1 1. 11 0.091







671 A 1 1 1. 13 0.077







672 A 1 1 1. 13 0.077







673 A 13 3 1. 16 0.188







674 A 5 3 1. 7 0.429







675 A 3 2 1. 20 0.1







676 A 2 2 1. 18 0.111







677 A 1 1 1. 10 0.1







678 A 4 3 1. 20 0.15







679 A 3 2 1. 13 0.154







680 A 1 1 1. 10 0.1







681 A 2 2 1. 8 0.25







682 A 3 2 1. 15 0.133







683 A 1 1 1. 10 0.1







684 A 3 3 1. 14 0.214







685 A 6 3 1. 11 0.273







686 A 4 3 1. 18 0.167







687 A 3 2 1. 15 0.133







688 A 3 2 1. 15 0.133







689 A 4 4 1. 32 0.125







690 A 8 4 1. 11 0.364







691 A 8 4 1. 13 0.308







692 F 0 0 N/A 0 N/A







693 A 2 2 1. 23 0.087







694 F 0 0 N/A 0 N/A







695 A 3 2 1. 9 0.222







696 A 3 2 1. 9 0.222







697 A 3 2 1. 9 0.222







698 A 3 3 1. 15 0.2







699 A 3 3 1. 17 0.176







700 A 4 4 1. 15 0.267







701 A 4 4 1. 17 0.235







702 A 1 1 1. 10 0.1







703 A 3 3 1. 15 0.2







704 A 3 3 1. 15 0.2







705 A 2 2 1. 17 0.118







706 A 3 3 1. 18 0.167







707 A 4 2 1. 9 0.222







708 A 4 2 1. 11 0.182







709 A 3 3 1. 17 0.176







710 A 3 2 1. 19 0.105







711 A 3 2 1. 17 0.118







712 A 4 3 1. 15 0.2







713 A 4 4 1. 22 0.182







714 A 4 3 1. 22 0.136







715 A 2 2 1. 7 0.286







716 A 3 2 1. 12 0.167







717 A 4 3 1. 11 0.273







718 A 2 2 1. 11 0.182







719 A 2 2 1. 11 0.182







720 A 2 2 1. 13 0.154







721 A 2 2 1. 13 0.154







722 A 3 2 1. 17 0.118







723 A 4 3 1. 17 0.176







724 A 3 2 1. 13 0.154







725 A 3 2 1. 15 0.133







726 A 3 2 1. 25 0.08







727 A 15 4 1. 18 0.222







728 A 3 3 1. 13 0.231







729 A 6 4 1. 15 0.267







730 A 1 1 1. 16 0.062







731 A 3 3 1. 19 0.158







732 A 1 1 1. 15 0.067







733 A 1 1 1. 13 0.077







734 A 2 2 1. 9 0.222







735 A 6 4 1. 16 0.25







736 A 3 2 1. 15 0.133







737 A 1 1 1. 9 0.111







738 A 1 1 1. 13 0.077







739 A 1 1 1. 9 0.111







740 A 3 1 1. 9 0.111







741 A 8 3 1. 14 0.214







742 A 2 1 1. 15 0.067







743 A 1 1 1. 13 0.077







744 A 2 1 1. 23 0.043







745 A 6 3 1. 28 0.107







746 A 4 2 1. 37 0.054







747 A 0 0 0. 0 0.







748 A 0 0 0. 0 0.







749 A 0 0 0. 0 0.







750 A 4 2 1. 50 0.04







751 A 0 0 0. 0 0.







752 A 1 1 1. 16 0.062







753 A 2 1 1. 34 0.029







754 A 0 0 0. 0 0.







755 A 8 4 1. 23 0.174







756 A 4 2 1. 39 0.051







757 A 3 2 1. 26 0.077







758 A 0 0 0. 0 0.







759 A 0 0 0. 0 0.







760 A 0 0 0. 0 0.







761 A 0 0 0. 0 0.







762 A 0 0 0. 0 0.







763 A 0 0 0. 0 0.







764 A 0 0 0. 0 0.







765 A 0 0 0. 0 0.







766 A 4 3 1. 23 0.13







767 A 2 2 1. 15 0.133







768 A 2 2 1. 19 0.105







769 A 1 1 1. 9 0.111







770 A 1 1 1. 9 0.111







771 A 1 1 1. 17 0.059







772 A 1 1 1. 17 0.059







773 A 4 3 1. 11 0.273







774 A 8 4 1. 43 0.093