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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 227, 229, 230, 231, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 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, 414, 415, 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, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705 }

B grade: { 226, 228, 232, 306, 335, 377, 413, 416, 447, 695 }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 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, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 195, 196, 197, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 218, 219, 220, 223, 224, 225, 227, 229, 230, 233, 234, 235, 236, 237, 238, 239, 240, 241, 243, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 284, 285, 286, 287, 288, 289, 290, 291, 293, 295, 296, 297, 299, 300, 301, 307, 308, 309, 310, 313, 314, 315, 316, 318, 319, 322, 323, 326, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 360, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 398, 400, 402, 403, 404, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 418, 419, 420, 421, 422, 423, 425, 427, 428, 429, 430, 431, 432, 433, 435, 436, 437, 441, 442, 447, 449, 450, 453, 455, 457, 458, 459, 460, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 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, 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, 556, 558, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 575, 576, 577, 578, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 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, 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, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 704 }

B grade: { 3, 4, 41, 63, 76, 99, 311, 338, 357, 361, 438, 439, 444, 445, 451, 452, 456, 488, 553, 554, 555, 557, 559, 574, 579, 622, 623, 689, 705 }

C grade: { 37, 113, 193, 198, 215, 216, 217, 221, 222, 226, 228, 231, 232, 242, 244, 245, 246, 247, 248, 249, 260, 283, 292, 294, 298, 302, 303, 304, 305, 306, 312, 317, 320, 321, 324, 325, 327, 343, 384, 389, 397, 399, 401, 411, 416, 417, 424, 426, 434, 440, 443, 446, 448, 454, 461, 476, 526, 592, 677, 678, 703 }

F grade: { }

2.1.3 Maple

A grade: { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 127, 129, 130, 131, 132, 134, 135, 140, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 195, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 214, 215, 216, 218, 220, 223, 224, 225, 227, 229, 230, 231, 233, 234, 235, 236, 237, 238, 239, 243, 244, 245, 250, 251, 252, 254, 255, 256, 258, 259, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 307, 310, 312, 318, 322, 323, 326, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 356, 357, 358, 360, 361, 362, 364, 365, 366, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 401, 412, 419, 420, 421, 422, 424, 425, 426, 428, 430, 437, 440, 441, 448, 451, 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, 488, 489, 490, 491, 493, 494, 495, 496, 497, 498, 499, 501, 502, 503, 504, 505, 507, 508, 509, 510, 512, 513, 514, 515, 517, 518, 519, 520, 522, 523, 524, 525, 526, 527, 528, 530, 531, 534, 535, 536, 537, 538, 539, 540, 541, 542, 544, 545, 546, 547, 558, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 579, 580, 581, 583, 584, 585, 590, 591, 593, 596, 597, 599, 600, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 633, 634, 635, 636, 637, 638, 639, 640, 645, 646, 647, 648, 649, 650, 651, 652, 654, 655, 659, 660, 663, 664, 665, 666, 668, 669, 670, 671, 673, 675, 676, 677, 678, 679, 680, 681, 682, 689, 695, 696, 697, 698, 700, 701, 702 }

B grade: { 1, 13, 35, 79, 128, 141, 196, 197, 213, 217, 219, 240, 241, 242, 246, 247, 248, 249, 253, 257, 260, 299, 300, 311, 335, 355, 359, 363, 367, 374, 383, 400, 423, 429, 431, 432, 433, 438, 439, 447, 456, 487, 548, 556, 561, 563, 578, 586, 587, 588, 595, 598, 601, 602, 642, 644, 657, 661, 662, 672, 674, 683 }

C grade: { 81, 136, 137, 138, 139, 142, 143, 144, 301, 302, 303, 304, 305, 306, 313, 316, 320, 321, 324, 325, 327, 392, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 413, 416, 417, 427, 434, 435, 436, 457, 492, 543, 589, 592, 594, 641, 643, 653, 656, 658, 667, 684, 685, 686, 687, 688, 690, 691, 692, 693, 694, 704 }

F grade: { 67, 126, 133, 145, 193, 198, 221, 222, 226, 228, 232, 308, 309, 314, 315, 317, 319, 328, 329, 352, 414, 415, 418, 442, 443, 444, 445, 446, 449, 450, 452, 453, 454, 455, 500, 506, 511, 516, 521, 529, 532, 533, 549, 550, 551, 552, 553, 554, 555, 557, 559, 560, 562, 582, 632, 699, 703, 705 }

2.1.4 Maxima

A grade: { 2, 3, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 83, 84, 85, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 127, 129, 130, 131, 132, 134, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 229, 235, 237, 243, 250, 251, 252, 253, 254, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 280, 282, 284, 285, 286, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 310, 312, 313, 316, 326, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 370, 371, 372, 375, 376, 377, 378, 379, 380, 381, 382, 392, 396, 397, 398, 400, 401, 412, 414, 415, 418, 419, 420, 422, 424, 428, 439, 444, 445, 448, 450, 453, 458, 459, 460, 461, 462, 464, 465, 466, 467, 468, 469, 470, 471, 472, 475, 476, 477, 478, 479, 480, 481, 483, 484, 485, 486, 490, 496, 497, 498, 499, 501, 502, 503, 504, 505, 507, 508, 509, 510, 512, 513, 514, 515, 517, 518, 519, 520, 522, 524, 525, 526, 528, 530, 531, 532, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 556, 558, 561, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 585, 590, 591, 598, 600, 602, 604, 605, 606, 607, 610, 611, 612, 613, 614, 615, 616, 617, 620, 622, 623, 624, 628, 629, 630, 631, 632, 633, 634, 635, 636, 638, 639, 640, 641, 642, 644, 645, 646, 647, 648, 649, 651, 652, 653, 654, 655, 656, 658, 659, 660, 661, 662, 663, 664, 666, 667, 669, 670, 671, 673, 676, 677, 678, 679, 680, 681, 682, 685, 686, 687, 690, 692, 694, 697, 698, 700, 702, 705

B grade: { 1, 4, 5, 8, 13, 19, 31, 41, 62, 76, 81, 82, 86, 128, 159, 236, 240, 241, 257, 311, 318, 322, 323, 369, 373, 374, 384, 385, 386, 387, 388, 389, 393, 394, 399, 423, 425, 429, 430, 431, 433, 437, 449, 451, 456, 474, 482, 488, 489, 491, 492, 493, 577, 578, 579, 580, 581, 584, 588, 589, 593, 594, 596, 597, 599, 601, 643, 691, 695, 696, 704 }

C grade: { 421, 426 }

F grade: { 48, 51, 52, 53, 68, 69, 89, 126, 133, 135, 145, 149, 174, 193, 194, 195, 196, 197, 198, 220, 221, 222, 223, 224, 225, 226, 227, 228, 230, 231, 232, 233, 234, 238, 239, 242, 244, 245, 246, 247, 248, 249, 255, 256, 258, 259, 260, 261, 262, 263, 279, 281, 283, 287, 288, 289, 290, 291, 306, 307, 308, 309, 314, 315, 317, 319, 320, 321, 324, 325, 327, 328, 329, 352, 383, 390, 391, 395, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 413, 416, 417, 427, 432, 434, 435, 436, 438, 440, 441, 442, 443, 446, 447, 452, 454, 455, 457, 463, 473, 487, 494, 495, 500, 506, 511, 516, 521, 523, 527, 529, 533, 549, 550, 551, 552, 553, 554, 555, 557, 559, 560, 562, 582, 583, 586, 587, 592, 595, 603, 608, 609, 618, 619, 621, 625, 626, 627, 637, 650, 657, 665, 668, 672, 674, 675, 683, 684, 688, 689, 693, 699, 701, 703 }

2.1.5 FriCAS

A grade: { 1, 2, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 58, 59, 60, 61, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 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, 127, 128, 129, 130, 131, 132, 134, 140, 141, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 162, 163, 164, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 178, 179, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191, 192, 194, 199, 200, 201, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 225, 227, 230, 231, 233, 234, 238, 241, 243, 250, 251, 252, 258, 260, 261, 262, 263, 264, 265, 266, 267, 270, 271, 272, 273, 274, 275, 277, 278, 279, 280, 282, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 304, 305, 306, 308, 309, 310, 312, 313, 316, 318, 320, 325, 326, 327, 330, 331, 332, 333, 334, 336, 339, 341, 344, 345, 346, 347, 348, 349, 350, 351, 356, 359, 360, 362, 364, 366, 368, 370, 373, 374, 375, 376, 378, 380, 381, 385, 386, 387, 395, 396, 398, 409, 412, 414, 415, 418, 419, 420, 422, 425, 428, 436, 437, 439, 440, 441, 448, 450, 454, 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, 492, 493, 494, 495, 496, 497, 498, 499, 501, 502, 503, 504, 507, 508, 509, 512, 513, 514, 515, 517, 518, 519, 520, 522, 523, 524, 525, 526, 527, 528, 530, 531, 532, 534, 535, 536, 537, 538, 539, 540, 541, 542, 544, 545, 546, 547, 548, 556, 558, 561, 563, 564, 565, 566, 567, 568, 569, 570, 571, 576, 583, 585, 590, 598, 599, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 617, 618, 619, 620, 621, 622, 623, 624, 626, 627, 628, 629, 630, 631, 632, 633, 634, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 658, 659, 660, 663, 664, 666, 667, 668, 669, 670, 671, 673, 676, 677, 679, 680, 681, 682, 684, 685, 686, 687, 688, 690, 691, 692, 693, 694, 695, 696, 697, 699, 700, 705 }

B grade: { 3, 4, 5, 19, 30, 31, 36, 37, 41, 53, 54, 55, 56, 57, 62, 63, 76, 99, 135, 149, 159, 161, 165, 174, 180, 187, 195, 196, 197, 202, 221, 222, 223, 224, 226, 228, 229, 232, 235, 236, 237, 239, 240, 242, 244, 245, 246, 247, 249, 253, 254, 255, 256, 257, 259, 268, 269, 276, 281, 283, 284, 303, 311, 314, 315, 317, 319, 321, 322, 323, 324, 328, 335, 337, 338, 340, 342, 343, 353, 354, 355, 357, 358, 361, 363, 365, 367, 369, 371, 372, 377, 379, 382, 383, 384, 388, 389, 390, 391, 392, 393, 394, 397, 399, 400, 402, 403, 404, 405, 406, 407, 408, 410, 411, 416, 423, 424, 427, 429, 430, 431, 432, 433, 434, 435, 438, 443, 447, 451, 452, 456, 457, 490, 491, 505, 510, 572, 573, 574, 575, 577, 578, 579, 580, 581, 582, 584, 586, 587, 588, 589, 591, 592, 593, 594, 595, 596, 597, 600, 601, 602, 603, 625, 635, 661, 662, 701, 702, 703, 704 }

C grade: { 177, 401, 421 }

F grade: { 126, 133, 136, 137, 138, 139, 142, 143, 144, 145, 193, 198, 248, 307, 329, 352, 413, 417, 426, 442, 444, 445, 446, 449, 453, 455, 500, 506, 511, 516, 521, 529, 533, 543, 549, 550, 551, 552, 553, 554, 555, 557, 559, 560, 562, 616, 657, 665, 672, 674, 675, 678, 683, 689, 698 }

2.1.6 Sympy

A grade: { 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 60, 63, 65, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 120, 121, 124, 128, 129, 131, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 199, 200, 201, 202, 203, 204, 205, 206, 208, 209, 210, 212, 240, 241, 250, 251, 292, 293, 300, 322, 323, 330, 331, 332, 333, 334, 336, 337, 338, 339, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 355, 356, 357, 358, 361, 365, 366, 367, 368, 371, 372, 377, 385, 387, 441, 458, 459, 460, 463, 464, 465, 466, 470, 471, 472, 476, 479, 480, 483, 484, 485, 486, 494, 496, 497, 498, 499, 501, 502, 503, 504, 507, 508, 509, 512, 513, 514, 515, 517, 518, 519, 520, 522, 523, 524, 525, 526, 527, 530, 531, 535, 537, 538, 539, 541, 542, 543, 544, 545, 546, 564, 565, 566, 567, 568, 569, 570, 571, 577, 578, 583, 584, 585, 596, 597, 598, 599, 603, 610, 611, 612, 613, 614, 615, 617, 618, 619, 620, 621, 628, 629, 630, 631, 632, 634, 635, 637, 638, 641, 642, 644, 646, 647, 648, 651, 652, 653, 654, 656, 659, 660, 661, 662, 664, 666, 667, 668, 669, 671, 676, 677, 679, 680, 681, 699, 700 }

B grade: { 1, 4, 8, 19, 21, 30, 31, 36, 41, 62, 114, 149, 159, 194, 195, 196, 197, 211, 214, 215, 252, 253, 254, 295, 297, 299, 312, 335, 340, 353, 354, 364, 369, 370, 376, 378, 379, 382, 383, 467, 468, 475, 477, 487, 488, 489, 493, 547, 548, 572, 573, 576, 580, 589, 590, 591, 602, 604, 655, 670, 697 }

C grade: { 2, 118, 119, 122, 123, 125, 126, 127, 130, 132, 133, 134, 145, 175, 207, 216, 294, 296, 298, 301, 302, 303, 304, 305, 313, 316, 461, 462, 536, 616 }

F grade: { 54, 55, 56, 57, 58, 59, 61, 64, 66, 69, 86, 193, 198, 213, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 242, 243, 244, 245, 246, 247, 248, 249, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 306, 307, 308, 309, 310, 311, 314, 315, 317, 318, 319, 320, 321, 324, 325, 326, 327, 328, 329, 352, 359, 360, 362, 363, 373, 374, 375, 380, 381, 384, 386, 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, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 469, 473, 474, 478, 481, 482, 490, 491, 492, 495, 500, 505, 506, 510, 511, 516, 521, 528, 529, 532, 533, 534, 540, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 574, 575, 579, 581, 582, 586, 587, 588, 592, 593, 594, 595, 600, 601, 605, 606, 607, 608, 609, 622, 623, 624, 625, 626, 627, 633, 636, 639, 640, 643, 645, 649, 650, 657, 658, 663, 665, 672, 673, 674, 675, 678, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 698, 701, 702, 703, 704, 705 }

2.1.7 Giac

A grade: { 2, 6, 7, 8, 10, 11, 12, 18, 20, 21, 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, 53, 54, 56, 57, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 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, 127, 129, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 149, 150, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 195, 196, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 227, 229, 230, 235, 236, 237, 241, 250, 251, 252, 253, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 272, 273, 275, 276, 277, 278, 282, 284, 285, 286, 288, 289, 290, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 304, 305, 309, 312, 313, 330, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 344, 345, 346, 347, 348, 349, 350, 351, 354, 355, 356, 358, 359, 360, 361, 362, 363, 364, 366, 368, 369, 370, 373, 375, 376, 377, 378, 379, 380, 381, 382, 385, 387, 394, 397, 398, 400, 401, 419, 420, 422, 423, 424, 425, 429, 430, 433, 440, 441, 442, 443, 450, 451, 452, 454, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 475, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 492, 493, 496, 497, 498, 499, 501, 502, 507, 512, 513, 514, 515, 517, 518, 519, 520, 522, 523, 524, 525, 526, 527, 528, 530, 531, 532, 534, 535, 536, 538, 539, 541, 542, 543, 544, 545, 546, 547, 548, 556, 558, 561, 563, 564, 565, 566, 567, 568, 569, 574, 583, 584, 585, 587, 589, 593, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 609, 610, 611, 612, 613, 614, 617, 618, 619, 621, 622, 624, 627, 628, 629, 630, 631, 633, 634, 637, 638, 639, 640, 641, 642, 643, 644, 646, 647, 651, 652, 653, 654, 655, 656, 659, 660, 661, 662, 663, 664, 667, 668, 669, 670, 671, 676, 677, 686, 687, 688, 691, 696, 697, 700, 701, 705 }

B grade: { 1, 3, 4, 5, 9, 13, 14, 15, 16, 17, 19, 22, 23, 52, 55, 58, 99, 128, 197, 220, 238, 239, 240, 242, 243, 244, 254, 255, 256, 257, 258, 259, 265, 274, 279, 280, 281, 283, 287, 308, 338, 342, 343, 353, 357, 365, 367, 371, 372, 374, 383, 384, 386, 388, 389, 431, 447, 449, 456, 474, 476, 487, 488, 489, 570, 571, 572, 573, 575, 576, 577, 578, 579, 580, 581, 586, 588, 590, 591, 596, 597, 620, 635, 645, 658, 666, 685, 690, 702, 704 }

C grade: { 79, 245, 246, 247, 421, 426, 438, 457, 494, 495, 503, 504, 505, 508, 509, 510, 537 }

F grade: { 64, 86, 126, 133, 145, 154, 177, 193, 198, 221, 222, 223, 224, 225, 226, 228, 231, 232, 233, 234, 248, 249, 291, 296, 306, 307, 310, 311, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 352, 390, 391, 392, 393, 395, 396, 399, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 427, 428, 432, 434, 435, 436, 437, 439, 444, 445, 446, 448, 453, 455, 473, 490, 491, 500, 506, 511, 516, 521, 529, 533, 540, 549, 550, 551, 552, 553, 554, 555, 557, 559, 560, 562, 582, 592, 594, 595, 608, 615, 616, 623, 625, 626, 632, 636, 648, 649, 650, 657, 665, 672, 673, 674, 675, 678, 679, 680, 681, 682, 683, 684, 689, 692, 693, 694, 695, 698, 699, 703 }

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 B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 32 42 55 20 45
normalized size 1 1. 1. 2.29 3. 3.93 1.43 3.21
time (sec) N/A 0.008 0.003 0.007 0.931 1.991 0.131 1.059
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 15 19 28 26 19
normalized size 1 1. 1. 1.07 1.36 2. 1.86 1.36
time (sec) N/A 0.005 0.003 0.003 1.41 1.954 0.125 1.053
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 37 18 23 70 29 54
normalized size 1 1. 2.85 1.38 1.77 5.38 2.23 4.15
time (sec) N/A 0.004 0.008 0.003 0.922 2.032 0.099 1.049
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 23 15 26 88 22 31
normalized size 1 1. 2.09 1.36 2.36 8. 2. 2.82
time (sec) N/A 0.003 0.006 0.006 0.919 2.082 0.098 1.061
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 21 36 90 22 39
normalized size 1 1. 1. 1.4 2.4 6. 1.47 2.6
time (sec) N/A 0.003 0.006 0.006 0.929 2.074 0.198 1.058
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2 2 2 3 5 14 3 5
normalized size 1 1. 1. 1.5 2.5 7. 1.5 2.5
time (sec) N/A 0.006 0.001 0.004 0.925 1.993 0.061 1.056
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 4 4 4 5 8 15 5 8
normalized size 1 1. 1. 1.25 2. 3.75 1.25 2.
time (sec) N/A 0.006 0.002 0. 0.923 1.934 0.062 1.055
Problem 8 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 6 6 6 5 36 16 7 5
normalized size 1 1. 1. 0.83 6. 2.67 1.17 0.83
time (sec) N/A 0.024 0.013 0.014 0.932 1.864 0.717 1.055
Problem 9 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 9 9 6 5 12 28 3 41
normalized size 1 1. 0.67 0.56 1.33 3.11 0.33 4.56
time (sec) N/A 0.007 0.004 0. 0.928 1.84 0.172 1.06
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 12 12 8 9 14 30 7 11
normalized size 1 1. 0.67 0.75 1.17 2.5 0.58 0.92
time (sec) N/A 0.008 0.008 0. 0.936 1.835 0.348 1.058
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 18 30 15 19
normalized size 1 1. 1. 1.08 1.5 2.5 1.25 1.58
time (sec) N/A 0.023 0.019 0.007 0.931 2.169 0.366 1.047
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 35 31 20
normalized size 1 1. 1. 1.07 1.33 2.33 2.07 1.33
time (sec) N/A 0.026 0.01 0.013 1.418 2.099 0.716 1.055
Problem 13 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 15 15 15 34 45 70 44 47
normalized size 1 1. 1. 2.27 3. 4.67 2.93 3.13
time (sec) N/A 0.028 0.009 0.011 0.93 2.16 0.733 1.045
Problem 14 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 17 17 17 18 23 49 32 104
normalized size 1 1. 1. 1.06 1.35 2.88 1.88 6.12
time (sec) N/A 0.035 0.009 0.021 0.956 2.171 3.152 1.117
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 20 27 49 34 104
normalized size 1 1. 1. 1.05 1.42 2.58 1.79 5.47
time (sec) N/A 0.038 0.009 0.021 0.928 2.235 2.928 1.076
Problem 16 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 18 22 22 19 24 41 34 130
normalized size 1 1.22 1.22 1.06 1.33 2.28 1.89 7.22
time (sec) N/A 0.04 0.015 0.016 0.929 2.374 3.034 1.074
Problem 17 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 18 22 22 19 26 39 32 165
normalized size 1 1.22 1.22 1.06 1.44 2.17 1.78 9.17
time (sec) N/A 0.042 0.013 0.017 0.925 2.635 2.947 1.094
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 41 41 19 14 18 104 61 62
normalized size 1 1. 0.46 0.34 0.44 2.54 1.49 1.51
time (sec) N/A 0.017 0.025 0.013 1.419 2.372 0.758 1.046
Problem 19 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 0.018 0.002 0. 0.927 2.265 0.095 1.069
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 18 3 5
normalized size 1 1. 1. 1.33 1.33 6. 1. 1.67
time (sec) N/A 0.012 0.004 0. 0.925 2.157 0.088 1.046
Problem 21 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 3 3 3 4 4 22 15 4
normalized size 1 1. 1. 1.33 1.33 7.33 5. 1.33
time (sec) N/A 0.019 0.01 0.001 1.403 2.268 0.128 1.052
Problem 22 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 9 9 7 10 9 24 7 30
normalized size 1 1. 0.78 1.11 1. 2.67 0.78 3.33
time (sec) N/A 0.02 0.009 0.001 0.927 2.294 0.089 1.064
Problem 23 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 9 9 9 10 12 26 7 77
normalized size 1 1. 1. 1.11 1.33 2.89 0.78 8.56
time (sec) N/A 0.018 0.016 0. 0.932 2.277 0.095 1.053
Problem 24 Optimal Rubi Mathematica Maple 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 22 30 70 22 31
normalized size 1 1. 1. 0.88 1.2 2.8 0.88 1.24
time (sec) N/A 0.018 0.013 0.008 0.93 2.187 0.402 1.051
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 21 27 78 31 28
normalized size 1 1. 1. 0.7 0.9 2.6 1.03 0.93
time (sec) N/A 0.094 0.017 0.006 0.927 2.207 5.277 1.064
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 11 14 27 8 15
normalized size 1 1. 1. 1.1 1.4 2.7 0.8 1.5
time (sec) N/A 0.005 0.002 0.001 0.942 2.071 0.073 1.05
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 47 47 47 24 49 105 42 50
normalized size 1 1. 1. 0.51 1.04 2.23 0.89 1.06
time (sec) N/A 0.023 0.028 0.002 1.409 2.031 0.107 1.071
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 30 30 30 24 31 77 27 28
normalized size 1 1. 1. 0.8 1.03 2.57 0.9 0.93
time (sec) N/A 0.008 0.013 0.002 1.408 2.157 0.104 1.068
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 21 21 21 14 18 77 22 18
normalized size 1 1. 1. 0.67 0.86 3.67 1.05 0.86
time (sec) N/A 0.008 0.011 0.027 0.925 2.412 0.539 1.046
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 12 15 78 26 15
normalized size 1 1. 1. 0.8 1. 5.2 1.73 1.
time (sec) N/A 0.008 0.006 0. 0.939 2.128 0.523 1.063
Problem 31 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 18 251 261 138 24
normalized size 1 1. 1. 0.86 11.95 12.43 6.57 1.14
time (sec) N/A 0.034 0.077 0.036 1.477 2.097 1.312 1.092
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 14 14 14 11 14 38 10 14
normalized size 1 1. 1. 0.79 1. 2.71 0.71 1.
time (sec) N/A 0.005 0.002 0. 0.961 2.004 0.062 1.064
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 14 36 10 14
normalized size 1 1. 1. 0.79 1. 2.57 0.71 1.
time (sec) N/A 0.006 0.002 0. 0.96 2.067 0.07 1.055
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 8 8 8 7 8 20 7 8
normalized size 1 1. 1. 0.88 1. 2.5 0.88 1.
time (sec) N/A 0.012 0.001 0.003 0.925 1.931 0.058 1.06
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 32 19 62 14 19
normalized size 1 1. 1. 2.91 1.73 5.64 1.27 1.73
time (sec) N/A 0.015 0.007 0.006 0.962 1.941 0.087 1.061
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 6 15 12 47 12 12
normalized size 1 1. 0.86 2.14 1.71 6.71 1.71 1.71
time (sec) N/A 0.024 0.007 0. 0.96 1.822 0.07 1.054
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 28 14 16 72 19 24
normalized size 1 1. 2. 1. 1.14 5.14 1.36 1.71
time (sec) N/A 0.006 0.013 0.003 1.46 2.016 0.069 1.064
Problem 38 Optimal Rubi Mathematica Maple 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 26 19 16 61 17 30
normalized size 1 1. 1.62 1.19 1. 3.81 1.06 1.88
time (sec) N/A 0.011 0.011 0.001 1.417 2.001 0.141 1.094
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 11 16 50 10 16
normalized size 1 1. 1. 1.1 1.6 5. 1. 1.6
time (sec) N/A 0.028 0.016 0.014 1.465 2.045 0.393 1.055
Problem 40 Optimal Rubi Mathematica Maple 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 12 15 19 89 10 19
normalized size 1 1. 0.86 1.07 1.36 6.36 0.71 1.36
time (sec) N/A 0.063 0.007 0.013 1.475 2.049 1.118 1.07
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 25 13 38 88 34 16
normalized size 1 1. 2.27 1.18 3.45 8. 3.09 1.45
time (sec) N/A 0.022 0.039 0.011 1.444 1.963 0.538 1.063
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 21 13 31 45 8 16
normalized size 1 1. 1.31 0.81 1.94 2.81 0.5 1.
time (sec) N/A 0.026 0.023 0.01 1.47 1.801 0.48 1.051
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 29 24 70 19 24
normalized size 1 1. 1. 1.16 0.96 2.8 0.76 0.96
time (sec) N/A 0.025 0.013 0.005 0.956 1.915 0.098 1.053
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 14 18 46 12 20
normalized size 1 1. 1. 0.67 0.86 2.19 0.57 0.95
time (sec) N/A 0.004 0.003 0.004 0.967 1.868 0.09 1.065
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 14 36 10 14
normalized size 1 1. 1. 0.79 1. 2.57 0.71 1.
time (sec) N/A 0.016 0.004 0.003 1.44 1.84 0.105 1.071
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 47 29 47 128 42 59
normalized size 1 1. 0.92 0.57 0.92 2.51 0.82 1.16
time (sec) N/A 0.016 0.026 0.002 1.48 1.813 0.105 1.044
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 47 34 86 29 34
normalized size 1 1. 1. 1.42 1.03 2.61 0.88 1.03
time (sec) N/A 0.01 0.012 0.008 0.956 1.879 0.115 1.047
Problem 48 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 29 29 29 19 0 163 94 24
normalized size 1 1. 1. 0.66 0. 5.62 3.24 0.83
time (sec) N/A 0.014 0.007 0.008 0. 2.018 1.583 1.052
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 20 17 30 51 37 26
normalized size 1 1. 0.74 0.63 1.11 1.89 1.37 0.96
time (sec) N/A 0.01 0.006 0.004 1.475 1.984 0.664 1.051
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 53 31 14
normalized size 1 1. 1. 0.86 1.09 2.41 1.41 0.64
time (sec) N/A 0.009 0.003 0.01 1.488 1.761 1.064 1.077
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 22 22 22 41 0 53 24 27
normalized size 1 1. 1. 1.86 0. 2.41 1.09 1.23
time (sec) N/A 0.013 0.004 0.003 0. 1.964 1.087 1.049
Problem 52 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 23 23 23 37 0 45 24 58
normalized size 1 1. 1. 1.61 0. 1.96 1.04 2.52
time (sec) N/A 0.014 0.004 0.005 0. 1.88 1.076 1.072
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 35 0 90 7 50
normalized size 1 1. 1. 1.67 0. 4.29 0.33 2.38
time (sec) N/A 0.013 0.003 0.004 0. 1.869 1.016 1.065
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 7 11 77 0 8
normalized size 1 1. 1. 0.58 0.92 6.42 0. 0.67
time (sec) N/A 0.006 0.005 0.004 1.431 1.781 0. 1.063
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 15 22 111 0 45
normalized size 1 1. 0.95 0.79 1.16 5.84 0. 2.37
time (sec) N/A 0.012 0.008 0.003 1.553 2.036 0. 1.079
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 12 7 8 39 0 8
normalized size 1 1. 1.5 0.88 1. 4.88 0. 1.
time (sec) N/A 0.003 0.009 0.003 1.431 1.807 0. 1.06
Problem 57 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 27 27 27 22 28 111 0 28
normalized size 1 1. 1. 0.81 1.04 4.11 0. 1.04
time (sec) N/A 0.01 0.006 0.007 1.427 1.918 0. 1.072
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 25 45 111 0 96
normalized size 1 1. 1. 0.78 1.41 3.47 0. 3.
time (sec) N/A 0.011 0.006 0.003 1.441 1.922 0. 1.1
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 23 21 16 23 43 0 38
normalized size 1 1.1 1. 0.76 1.1 2.05 0. 1.81
time (sec) N/A 0.005 0.004 0.003 1.415 1.743 0. 1.056
Problem 60 Optimal Rubi Mathematica Maple 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 54 23 45 147 22 42
normalized size 1 1. 1.93 0.82 1.61 5.25 0.79 1.5
time (sec) N/A 0.129 0.06 0.048 0.959 1.978 0.795 1.079
Problem 61 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 48 17 14 18 108 0 62
normalized size 1 1.3 0.46 0.38 0.49 2.92 0. 1.68
time (sec) N/A 0.021 0.049 0.012 1.433 1.963 0. 1.077
Problem 62 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 14 14 21 11 63 101 27 15
normalized size 1 1. 1.5 0.79 4.5 7.21 1.93 1.07
time (sec) N/A 0.034 0.015 0.047 0.954 2.041 1.642 1.077
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 23 4 20 139 15 23
normalized size 1 1. 2.09 0.36 1.82 12.64 1.36 2.09
time (sec) N/A 0.031 0.007 0.007 0.943 1.923 0.148 1.085
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 19 19 15 19 41 0 0
normalized size 1 1.06 1.06 0.83 1.06 2.28 0. 0.
time (sec) N/A 0.047 0.017 0.015 0.941 2.425 0. 0.
Problem 65 Optimal Rubi Mathematica Maple 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 15 19 47 17 35
normalized size 1 1. 1. 0.83 1.06 2.61 0.94 1.94
time (sec) N/A 0.045 0.019 0.02 0.945 2.158 2.574 1.151
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 16 20 46 0 20
normalized size 1 1. 1. 0.94 1.18 2.71 0. 1.18
time (sec) N/A 0.013 0.004 0.007 1.445 2.099 0. 1.088
Problem 67 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 20 20 20 0 24 47 7 22
normalized size 1 1. 1. 0. 1.2 2.35 0.35 1.1
time (sec) N/A 0.026 0.004 0.021 0.966 1.978 0.618 1.15
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 0 42 15 16
normalized size 1 1. 1. 1.08 0. 3.5 1.25 1.33
time (sec) N/A 0.023 0.004 0.003 0. 2.074 4.109 1.112
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 38 0 92 0 16
normalized size 1 1. 1. 0.9 0. 2.19 0. 0.38
time (sec) N/A 0.065 0.04 0.047 0. 1.997 0. 1.27
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 23 7 8
normalized size 1 1. 1. 0.88 1. 2.88 0.88 1.
time (sec) N/A 0.025 0.005 0.004 1.406 1.902 2.797 1.102
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 23 23 61 22 30
normalized size 1 1. 1. 0.82 0.82 2.18 0.79 1.07
time (sec) N/A 0.01 0.001 0.001 0.935 1.946 0.096 1.058
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 14 18 35 15 18
normalized size 1 1. 1. 0.82 1.06 2.06 0.88 1.06
time (sec) N/A 0.007 0.001 0.002 0.934 1.68 0.092 1.052
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 36 38 38 53 38 80 26 39
normalized size 1 1.06 1.06 1.47 1.06 2.22 0.72 1.08
time (sec) N/A 0.026 0.006 0.012 0.94 1.887 0.118 1.057
Problem 74 Optimal Rubi Mathematica Maple 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 23 17 20 58 17 20
normalized size 1 1. 1.21 0.89 1.05 3.05 0.89 1.05
time (sec) N/A 0.008 0.002 0. 0.933 1.901 0.06 1.049
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 34 34 30 26 24 81 31 30
normalized size 1 1. 0.88 0.76 0.71 2.38 0.91 0.88
time (sec) N/A 0.034 0.008 0. 0.936 1.868 0.059 1.067
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 71 26 57 227 46 51
normalized size 1 1. 2.73 1. 2.19 8.73 1.77 1.96
time (sec) N/A 0.012 0.006 0.031 0.933 1.921 0.135 1.054
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 14 18 15 54 17 15
normalized size 1 1. 0.61 0.78 0.65 2.35 0.74 0.65
time (sec) N/A 0.008 0.012 0.004 0.938 2.159 0.46 1.051
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 22 26 65 26 26
normalized size 1 1. 0.81 0.81 0.96 2.41 0.96 0.96
time (sec) N/A 0.009 0.035 0.004 0.931 2.324 0.331 1.056
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 20 71 32 61 107 444
normalized size 1 1. 0.65 2.29 1.03 1.97 3.45 14.32
time (sec) N/A 0.01 0.018 0.017 0.949 2.212 1.061 1.092
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 14 14 53 15 18
normalized size 1 1. 1. 0.82 0.82 3.12 0.88 1.06
time (sec) N/A 0.003 0.002 0. 0.933 2.189 0.37 1.054
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 61 127 68 15 16
normalized size 1 1. 1. 5.08 10.58 5.67 1.25 1.33
time (sec) N/A 0.019 0.015 0.037 1.428 1.868 135.385 1.077
Problem 82 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 15 15 15 20 144 66 19 31
normalized size 1 1. 1. 1.33 9.6 4.4 1.27 2.07
time (sec) N/A 0.014 0.018 0.009 1.428 2.029 0.161 1.072
Problem 83 Optimal Rubi Mathematica Maple 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 45 105 22 51
normalized size 1 1. 1. 0.95 2.05 4.77 1. 2.32
time (sec) N/A 0.015 0.002 0.003 1.42 2.222 1.652 1.06
Problem 84 Optimal Rubi Mathematica Maple 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 31 68 22 31
normalized size 1 1. 1. 0.96 1.24 2.72 0.88 1.24
time (sec) N/A 0.032 0.006 0.019 1.426 1.852 0.177 1.053
Problem 85 Optimal Rubi Mathematica Maple 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 20 32 68 19 26
normalized size 1 1. 1. 0.87 1.39 2.96 0.83 1.13
time (sec) N/A 0.047 0.014 0.006 1.451 2.027 0.381 1.055
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 57 49 44 105 85 0 0
normalized size 1 1.5 1.29 1.16 2.76 2.24 0. 0.
time (sec) N/A 0.031 0.059 0.012 1.426 2.008 0. 0.
Problem 87 Optimal Rubi Mathematica Maple 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 22 28 50 22 28
normalized size 1 1. 1. 0.88 1.12 2. 0.88 1.12
time (sec) N/A 0.007 0.002 0. 0.929 1.571 0.055 1.048
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 30 39 72 34 39
normalized size 1 1. 1. 0.77 1. 1.85 0.87 1.
time (sec) N/A 0.016 0.001 0. 0.931 1.596 0.059 1.063
Problem 89 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 23 23 23 29 0 55 75 31
normalized size 1 1. 1. 1.26 0. 2.39 3.26 1.35
time (sec) N/A 0.008 0.01 0.043 0. 1.938 55.273 1.059
Problem 90 Optimal Rubi Mathematica Maple 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 23 30 63 20 31
normalized size 1 1. 0.9 0.77 1. 2.1 0.67 1.03
time (sec) N/A 0.011 0.006 0.003 0.93 1.778 0.07 1.058
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 35 27 35 112 34 35
normalized size 1 1. 0.85 0.66 0.85 2.73 0.83 0.85
time (sec) N/A 0.012 0.01 0.003 1.417 1.763 0.092 1.054
Problem 92 Optimal Rubi Mathematica Maple 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 16 20 49 14 23
normalized size 1 1. 1. 0.76 0.95 2.33 0.67 1.1
time (sec) N/A 0.006 0.003 0.005 0.934 1.771 0.09 1.049
Problem 93 Optimal Rubi Mathematica Maple 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 29 38 89 36 38
normalized size 1 1. 0.97 0.88 1.15 2.7 1.09 1.15
time (sec) N/A 0.017 0.009 0.003 1.416 1.819 0.101 1.054
Problem 94 Optimal Rubi Mathematica Maple 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 22 28 68 22 28
normalized size 1 1. 1. 0.88 1.12 2.72 0.88 1.12
time (sec) N/A 0.016 0.004 0.003 1.407 1.752 0.097 1.045
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 39 51 115 46 51
normalized size 1 1. 1. 0.83 1.09 2.45 0.98 1.09
time (sec) N/A 0.062 0.016 0.004 1.419 1.858 0.103 1.047
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 18 23 62 17 27
normalized size 1 1. 1. 0.72 0.92 2.48 0.68 1.08
time (sec) N/A 0.037 0.006 0.008 0.932 1.885 0.117 1.06
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 29 26 34 77 26 38
normalized size 1 1. 0.88 0.79 1.03 2.33 0.79 1.15
time (sec) N/A 0.054 0.014 0.008 0.939 1.82 0.371 1.057
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 37 61 37 26 34 92 29 39
normalized size 1 1.65 1. 0.7 0.92 2.49 0.78 1.05
time (sec) N/A 0.037 0.006 0.01 0.929 1.948 0.157 1.058
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 69 26 58 142 60 80
normalized size 1 1. 2.23 0.84 1.87 4.58 1.94 2.58
time (sec) N/A 0.009 0.018 0.008 1.426 2.123 0.477 1.063
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 26 34 92 26 39
normalized size 1 1. 1. 0.63 0.83 2.24 0.63 0.95
time (sec) N/A 0.02 0.007 0.008 0.923 2.204 0.154 1.047
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 25 25 16 20 30 76 17 24
normalized size 1 1. 0.64 0.8 1.2 3.04 0.68 0.96
time (sec) N/A 0.011 0.009 0.004 0.926 2.104 0.089 1.047
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 33 43 117 31 61
normalized size 1 1. 1. 0.92 1.19 3.25 0.86 1.69
time (sec) N/A 0.017 0.014 0.005 0.921 2.106 0.08 1.05
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 37 28 41 138 31 36
normalized size 1 1. 0.9 0.68 1. 3.37 0.76 0.88
time (sec) N/A 0.037 0.02 0.007 0.933 2.085 0.124 1.054
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 28 39 136 26 50
normalized size 1 1. 1. 1.04 1.44 5.04 0.96 1.85
time (sec) N/A 0.036 0.015 0.009 0.943 2.053 0.125 1.059
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 47 32 39 131 31 47
normalized size 1 1. 1.21 0.82 1. 3.36 0.79 1.21
time (sec) N/A 0.036 0.017 0.011 0.956 2.199 0.136 1.049
Problem 106 Optimal Rubi Mathematica Maple 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 40 35 54 150 37 54
normalized size 1 1. 0.87 0.76 1.17 3.26 0.8 1.17
time (sec) N/A 0.022 0.016 0.008 0.93 2.117 0.146 1.051
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 24 31 77 22 32
normalized size 1 1. 1. 0.83 1.07 2.66 0.76 1.1
time (sec) N/A 0.028 0.007 0.006 1.4 2.082 0.108 1.057
Problem 108 Optimal Rubi Mathematica Maple 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 22 28 82 22 31
normalized size 1 1. 1. 0.81 1.04 3.04 0.81 1.15
time (sec) N/A 0.025 0.007 0.004 1.384 2.022 0.157 1.062
Problem 109 Optimal Rubi Mathematica Maple 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 32 26 34 93 29 36
normalized size 1 1. 1.33 1.08 1.42 3.88 1.21 1.5
time (sec) N/A 0.01 0.009 0.007 1.43 2.149 0.131 1.058
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 33 43 142 39 45
normalized size 1 1. 1. 0.8 1.05 3.46 0.95 1.1
time (sec) N/A 0.087 0.021 0.007 1.43 2.177 0.139 1.052
Problem 111 Optimal Rubi Mathematica Maple 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 40 37 49 171 37 84
normalized size 1 1. 0.87 0.8 1.07 3.72 0.8 1.83
time (sec) N/A 0.204 0.019 0.008 1.426 2.114 0.187 1.061
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 37 34 49 171 36 43
normalized size 1 1. 0.79 0.72 1.04 3.64 0.77 0.91
time (sec) N/A 0.043 0.024 0.006 1.454 2.106 0.149 1.053
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 67 67 73 54 72 180 70 72
normalized size 1 1. 1.09 0.81 1.07 2.69 1.04 1.07
time (sec) N/A 0.038 0.058 0.005 1.435 2.073 0.163 1.055
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 67 46 73 190 172 86
normalized size 1 1. 1.4 0.96 1.52 3.96 3.58 1.79
time (sec) N/A 0.053 0.018 0.007 1.415 2.215 1.323 1.072
Problem 115 Optimal Rubi Mathematica Maple 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 46 41 58 203 46 53
normalized size 1 1. 0.79 0.71 1. 3.5 0.79 0.91
time (sec) N/A 0.055 0.024 0.008 1.422 2.159 0.167 1.072
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 47 36 47 146 44 47
normalized size 1 1. 0.92 0.71 0.92 2.86 0.86 0.92
time (sec) N/A 0.284 0.024 0.009 1.413 2.238 0.357 1.061
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 34 45 105 32 45
normalized size 1 1. 1. 0.83 1.1 2.56 0.78 1.1
time (sec) N/A 0.311 0.008 0.01 0.921 2.173 0.162 1.06
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 52 52 66 124 73 68
normalized size 1 1. 0.93 0.93 1.18 2.21 1.3 1.21
time (sec) N/A 0.03 0.012 0.008 1.405 2.054 0.12 1.053
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 50 52 66 122 71 68
normalized size 1 1. 0.89 0.93 1.18 2.18 1.27 1.21
time (sec) N/A 0.028 0.005 0.005 1.399 2.084 0.114 1.052
Problem 120 Optimal Rubi Mathematica Maple 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 15
normalized size 1 1. 1. 0.92 1.17 2.25 0.67 1.25
time (sec) N/A 0.003 0.002 0. 0.918 2.061 0.092 1.058
Problem 121 Optimal Rubi Mathematica Maple 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 34 31 51 19 30
normalized size 1 1. 1. 1.55 1.41 2.32 0.86 1.36
time (sec) N/A 0.008 0.004 0.005 0.922 2.018 0.179 1.055
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 60 60 77 147 83 78
normalized size 1 1. 0.95 0.95 1.22 2.33 1.32 1.24
time (sec) N/A 0.037 0.014 0.007 1.398 2.333 0.299 1.049
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 68 60 77 161 80 78
normalized size 1 1. 1.05 0.92 1.18 2.48 1.23 1.2
time (sec) N/A 0.039 0.015 0.008 1.404 2.221 0.323 1.053
Problem 124 Optimal Rubi Mathematica Maple 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 43 42 77 29 54
normalized size 1 1. 1. 1.3 1.27 2.33 0.88 1.64
time (sec) N/A 0.02 0.005 0.006 0.925 2.037 0.391 1.053
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 74 67 89 178 90 90
normalized size 1 1. 1.01 0.92 1.22 2.44 1.23 1.23
time (sec) N/A 0.044 0.013 0.009 1.411 2.088 0.376 1.073
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 0 0 0 92 0
normalized size 1 1. 0.98 0. 0. 0. 2. 0.
time (sec) N/A 0.01 0.01 0.041 0. 0. 4.574 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 38 33 43 70 37 46
normalized size 1 1. 1.41 1.22 1.59 2.59 1.37 1.7
time (sec) N/A 0.008 0.004 0.008 1.401 2.129 0.131 1.049
Problem 128 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 15 15 15 30 39 59 24 41
normalized size 1 1. 1. 2. 2.6 3.93 1.6 2.73
time (sec) N/A 0.007 0.003 0.004 0.922 1.912 0.137 1.059
Problem 129 Optimal Rubi Mathematica Maple 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 41 34 53 19 35
normalized size 1 1. 1. 1.71 1.42 2.21 0.79 1.46
time (sec) N/A 0.01 0.005 0.008 0.917 1.694 0.212 1.044
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 46 41 54 93 44 57
normalized size 1 1. 1.31 1.17 1.54 2.66 1.26 1.63
time (sec) N/A 0.014 0.007 0.007 1.413 1.977 0.33 1.061
Problem 131 Optimal Rubi Mathematica Maple 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 50 43 50 89 34 51
normalized size 1 1. 1.92 1.65 1.92 3.42 1.31 1.96
time (sec) N/A 0.012 0.007 0.006 0.924 1.82 0.347 1.07
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 48 41 54 112 48 57
normalized size 1 1. 1.3 1.11 1.46 3.03 1.3 1.54
time (sec) N/A 0.012 0.007 0.007 1.406 1.845 0.369 1.049
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 44 0 0 0 95 0
normalized size 1 1. 0.98 0. 0. 0. 2.11 0.
time (sec) N/A 0.008 0.009 0.042 0. 0. 0.879 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 34 29 18
normalized size 1 1. 1. 0.93 1.2 2.27 1.93 1.2
time (sec) N/A 0.006 0.003 0.003 1.413 1.858 0.127 1.072
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 79 101 0 651 19 154
normalized size 1 1. 0.72 0.93 0. 5.97 0.17 1.41
time (sec) N/A 0.062 0.028 0.005 0. 1.944 0.126 1.059
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 204 101 385 0 39 239
normalized size 1 1. 1.01 0.5 1.92 0. 0.19 1.19
time (sec) N/A 0.314 0.15 0.011 1.422 0. 0.127 1.058
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 204 97 358 0 41 239
normalized size 1 1. 1.01 0.48 1.78 0. 0.2 1.19
time (sec) N/A 0.271 0.057 0.005 1.42 0. 0.127 1.087
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 204 101 358 0 41 239
normalized size 1 1. 1.01 0.5 1.78 0. 0.2 1.19
time (sec) N/A 0.317 0.077 0.007 1.425 0. 0.139 1.079
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 204 97 385 0 39 239
normalized size 1 1. 1.01 0.48 1.92 0. 0.19 1.19
time (sec) N/A 0.313 0.046 0.007 1.421 0. 0.134 1.072
Problem 140 Optimal Rubi Mathematica Maple 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 15
normalized size 1 1. 1. 0.92 1.17 2.25 0.67 1.25
time (sec) N/A 0.003 0.002 0.001 0.929 1.798 0.102 1.059
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 49 31 51 19 30
normalized size 1 1. 1. 2.23 1.41 2.32 0.86 1.36
time (sec) N/A 0.008 0.004 0.007 0.927 1.9 0.225 1.067
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 172 109 398 0 48 250
normalized size 1 1. 0.82 0.52 1.9 0. 0.23 1.2
time (sec) N/A 0.329 0.162 0.008 1.427 0. 0.331 1.085
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 174 105 373 0 51 250
normalized size 1 1. 0.82 0.5 1.77 0. 0.24 1.18
time (sec) N/A 0.327 0.145 0.008 1.423 0. 0.364 1.09
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 175 109 373 0 51 250
normalized size 1 1. 0.83 0.52 1.77 0. 0.24 1.18
time (sec) N/A 0.288 0.13 0.008 1.43 0. 0.383 1.079
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 0 0 0 92 0
normalized size 1 1. 0.98 0. 0. 0. 2. 0.
time (sec) N/A 0.01 0.009 0.043 0. 0. 34.013 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 21 28 36 39 8 36
normalized size 1 1. 0.6 0.8 1.03 1.11 0.23 1.03
time (sec) N/A 0.425 0.007 0.024 1.412 2. 0.11 1.046
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 51 52 73 216 63 59
normalized size 1 1. 0.85 0.87 1.22 3.6 1.05 0.98
time (sec) N/A 0.022 0.028 0.003 1.418 1.98 0.152 1.066
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 30 28 51 132 36 38
normalized size 1 1. 0.7 0.65 1.19 3.07 0.84 0.88
time (sec) N/A 0.014 0.012 0.006 1.409 2.044 0.135 1.056
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 88 146 0 932 323 124
normalized size 1 1. 0.98 1.62 0. 10.36 3.59 1.38
time (sec) N/A 0.071 0.087 0.007 0. 1.982 1.111 1.07
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 35 45 140 31 45
normalized size 1 1. 1. 0.92 1.18 3.68 0.82 1.18
time (sec) N/A 0.026 0.013 0.006 1.398 1.981 0.129 1.061
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 49 53 57 171 53 58
normalized size 1 1. 0.86 0.93 1. 3. 0.93 1.02
time (sec) N/A 0.024 0.023 0.01 1.478 2.09 0.141 1.044
Problem 152 Optimal Rubi Mathematica Maple 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 33 29 42 109 32 38
normalized size 1 1. 0.92 0.81 1.17 3.03 0.89 1.06
time (sec) N/A 0.023 0.016 0.009 1.447 1.945 0.133 1.055
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 78 41 54 122 46 54
normalized size 1 1. 1.59 0.84 1.1 2.49 0.94 1.1
time (sec) N/A 0.037 0.014 0.006 1.416 2.101 0.13 1.071
Problem 154 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 13 20 20 17 19 26 14 0
normalized size 1 1.54 1.54 1.31 1.46 2. 1.08 0.
time (sec) N/A 0.046 0.023 0.013 0.939 2.226 2.511 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 38 35 46 103 42 46
normalized size 1 1. 0.93 0.85 1.12 2.51 1.02 1.12
time (sec) N/A 0.04 0.01 0.003 1.405 1.973 0.109 1.043
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 25 32 69 24 34
normalized size 1 1. 1. 0.78 1. 2.16 0.75 1.06
time (sec) N/A 0.025 0.005 0.005 0.926 2.011 0.107 1.059
Problem 157 Optimal Rubi Mathematica Maple 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 18 23 54 15 26
normalized size 1 1. 1. 0.72 0.92 2.16 0.6 1.04
time (sec) N/A 0.017 0.004 0.005 0.928 2.049 0.102 1.059
Problem 158 Optimal Rubi Mathematica Maple 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 24 27 43 123 29 31
normalized size 1 1. 0.67 0.75 1.19 3.42 0.81 0.86
time (sec) N/A 0.022 0.014 0.005 0.928 1.991 0.109 1.052
Problem 159 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 45 45 24 30 97 196 71 30
normalized size 1 1. 0.53 0.67 2.16 4.36 1.58 0.67
time (sec) N/A 0.012 0.006 0.005 0.937 1.895 0.161 1.055
Problem 160 Optimal Rubi Mathematica Maple 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 41 46 65 178 42 74
normalized size 1 1. 0.75 0.84 1.18 3.24 0.76 1.35
time (sec) N/A 0.039 0.012 0.005 0.934 1.942 0.118 1.062
Problem 161 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 36 36 38 35 51 155 41 58
normalized size 1 1. 1.06 0.97 1.42 4.31 1.14 1.61
time (sec) N/A 0.015 0.021 0.008 0.935 1.987 0.125 1.051
Problem 162 Optimal Rubi Mathematica Maple 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 31 28 42 124 29 54
normalized size 1 1. 0.89 0.8 1.2 3.54 0.83 1.54
time (sec) N/A 0.014 0.018 0.008 0.928 1.932 0.119 1.065
Problem 163 Optimal Rubi Mathematica Maple 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 46 42 68 224 51 57
normalized size 1 1. 0.75 0.69 1.11 3.67 0.84 0.93
time (sec) N/A 0.012 0.022 0.009 0.921 1.942 0.145 1.061
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 36 44 59 180 42 46
normalized size 1 1. 0.71 0.86 1.16 3.53 0.82 0.9
time (sec) N/A 0.014 0.016 0.003 1.416 2.122 0.152 1.055
Problem 165 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 54 54 54 49 81 306 58 63
normalized size 1 1. 1. 0.91 1.5 5.67 1.07 1.17
time (sec) N/A 0.026 0.015 0.01 0.929 2.268 0.159 1.053
Problem 166 Optimal Rubi Mathematica Maple 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 42 53 32 54 136 49 65
normalized size 1 1.17 1.47 0.89 1.5 3.78 1.36 1.81
time (sec) N/A 0.015 0.035 0.006 1.406 2.072 0.103 1.054
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 40 32 55 166 39 42
normalized size 1 1. 0.69 0.55 0.95 2.86 0.67 0.72
time (sec) N/A 0.017 0.019 0.007 1.405 1.875 0.141 1.053
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 37 49 140 42 49
normalized size 1 1. 1. 0.86 1.14 3.26 0.98 1.14
time (sec) N/A 0.021 0.034 0.004 1.409 1.964 0.129 1.066
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 62 37 63 184 58 69
normalized size 1 1. 1.44 0.86 1.47 4.28 1.35 1.6
time (sec) N/A 0.023 0.037 0.003 1.477 1.986 0.124 1.061
Problem 170 Optimal Rubi Mathematica Maple 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 25 28 41 92 24 54
normalized size 1 1. 0.68 0.76 1.11 2.49 0.65 1.46
time (sec) N/A 0.013 0.01 0.007 1.446 1.944 0.149 1.067
Problem 171 Optimal Rubi Mathematica Maple 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 39 26 29 38 92 26 38
normalized size 1 1.22 0.81 0.91 1.19 2.88 0.81 1.19
time (sec) N/A 0.026 0.013 0.007 0.95 1.965 0.128 1.058
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 41 20 15
normalized size 1 1. 1. 0.92 1.15 3.15 1.54 1.15
time (sec) N/A 0.002 0.003 0. 0.922 1.874 0.796 1.058
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 46 49 77 181 51 76
normalized size 1 1. 0.85 0.91 1.43 3.35 0.94 1.41
time (sec) N/A 0.03 0.024 0.016 0.928 1.971 2.211 1.054
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 134 152 0 987 65 203
normalized size 1 1. 0.85 0.97 0. 6.29 0.41 1.29
time (sec) N/A 0.101 0.105 0.012 0. 2.116 3.766 1.061
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 75 57 81 173 76 68
normalized size 1 1. 1.17 0.89 1.27 2.7 1.19 1.06
time (sec) N/A 0.03 0.048 0.013 1.414 2.016 6.353 1.063
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 33 34 46 112 27 41
normalized size 1 1. 0.85 0.87 1.18 2.87 0.69 1.05
time (sec) N/A 0.025 0.013 0.009 0.924 1.95 0.171 1.108
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 293 354 452 6294 37 0
normalized size 1 1. 0.92 1.11 1.42 19.73 0.12 0.
time (sec) N/A 0.584 0.304 0.101 1.44 145.437 0.27 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 65 39 76 182 58 74
normalized size 1 1. 1.1 0.66 1.29 3.08 0.98 1.25
time (sec) N/A 0.021 0.064 0.009 1.411 1.782 0.153 1.055
Problem 179 Optimal Rubi Mathematica Maple 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 33 29 42 109 32 38
normalized size 1 1. 0.92 0.81 1.17 3.03 0.89 1.06
time (sec) N/A 0.024 0.006 0. 1.418 1.746 0.132 1.053
Problem 180 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 38 38 32 31 51 154 36 47
normalized size 1 1. 0.84 0.82 1.34 4.05 0.95 1.24
time (sec) N/A 0.062 0.021 0.01 0.926 1.794 0.126 1.045
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 65 61 68 213 60 81
normalized size 1 1. 1.02 0.95 1.06 3.33 0.94 1.27
time (sec) N/A 0.073 0.033 0.011 1.412 2.028 0.198 1.057
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 54 80 277 66 97
normalized size 1 1. 1. 0.86 1.27 4.4 1.05 1.54
time (sec) N/A 0.121 0.035 0.01 1.415 1.991 0.172 1.073
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 36 49 153 34 45
normalized size 1 1. 1.07 0.84 1.14 3.56 0.79 1.05
time (sec) N/A 0.019 0.019 0.01 0.937 1.865 0.136 1.064
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 20 24 58 130 37 24
normalized size 1 1. 0.74 0.89 2.15 4.81 1.37 0.89
time (sec) N/A 0.019 0.007 0.007 0.934 1.747 0.181 1.052
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 46 46 44 39 53 143 34 54
normalized size 1 1. 0.96 0.85 1.15 3.11 0.74 1.17
time (sec) N/A 0.03 0.013 0.01 0.925 1.705 0.121 1.072
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 50 39 35 50 147 34 58
normalized size 1 1.14 0.89 0.8 1.14 3.34 0.77 1.32
time (sec) N/A 0.017 0.021 0.009 0.927 1.763 0.128 1.059
Problem 187 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 54 54 54 49 81 306 58 63
normalized size 1 1. 1. 0.91 1.5 5.67 1.07 1.17
time (sec) N/A 0.018 0.015 0. 0.927 1.756 0.16 1.051
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 33 43 117 31 61
normalized size 1 1. 1. 0.92 1.19 3.25 0.86 1.69
time (sec) N/A 0.015 0.014 0. 0.93 1.585 0.08 1.052
Problem 189 Optimal Rubi Mathematica Maple 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 41 39 51 107 39 53
normalized size 1 1. 0.93 0.89 1.16 2.43 0.89 1.2
time (sec) N/A 0.037 0.012 0.003 0.926 1.471 0.058 1.067
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 91 95 123 252 100 132
normalized size 1 1. 0.95 0.99 1.28 2.62 1.04 1.38
time (sec) N/A 0.104 0.028 0.001 0.933 1.565 0.075 1.058
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 167 237 231 460 189 254
normalized size 1 1. 1. 1.42 1.38 2.75 1.13 1.52
time (sec) N/A 0.188 0.033 0.001 0.933 1.514 0.088 1.063
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 263 363 369 752 313 414
normalized size 1 1. 1. 1.38 1.4 2.86 1.19 1.57
time (sec) N/A 0.337 0.059 0.001 0.937 1.544 0.108 1.051
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 267 0 0 0 0 0
normalized size 1 1. 1.68 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.443 0.145 0. 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 66 95 0 446 246 81
normalized size 1 1. 1.02 1.46 0. 6.86 3.78 1.25
time (sec) N/A 0.042 0.043 0.004 0. 1.75 0.61 1.062
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 88 146 0 964 323 124
normalized size 1 1. 0.99 1.64 0. 10.83 3.63 1.39
time (sec) N/A 0.045 0.08 0.003 0. 1.848 1.045 1.071
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 127 274 0 2279 622 262
normalized size 1 1. 0.98 2.11 0. 17.53 4.78 2.02
time (sec) N/A 0.072 0.139 0.004 0. 1.921 2.034 1.074
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 168 405 0 4097 1027 490
normalized size 1 1. 0.97 2.34 0. 23.68 5.94 2.83
time (sec) N/A 0.11 0.219 0.006 0. 2.103 3.874 1.075
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 264 0 0 0 0 0
normalized size 1 1. 1.56 0. 0. 0. 0. 0.
time (sec) N/A 0.079 0.344 0.081 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 31 55 136 46 62
normalized size 1 1. 0.9 0.63 1.12 2.78 0.94 1.27
time (sec) N/A 0.016 0.021 0.003 1.407 1.672 0.099 1.059
Problem 200 Optimal Rubi Mathematica Maple 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 70 56 90 251 75 82
normalized size 1 1. 1.15 0.92 1.48 4.11 1.23 1.34
time (sec) N/A 0.022 0.046 0.002 1.417 1.624 0.147 1.06
Problem 201 Optimal Rubi Mathematica Maple 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 33 28 41 131 31 43
normalized size 1 1. 0.92 0.78 1.14 3.64 0.86 1.19
time (sec) N/A 0.008 0.017 0.008 0.924 1.729 0.114 1.054
Problem 202 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 87 87 87 70 122 481 88 84
normalized size 1 1. 1. 0.8 1.4 5.53 1.01 0.97
time (sec) N/A 0.023 0.025 0.01 0.928 1.824 0.194 1.057
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 62 93 315 80 90
normalized size 1 1. 0.86 0.77 1.15 3.89 0.99 1.11
time (sec) N/A 0.056 0.035 0.013 1.41 1.761 0.202 1.076
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 87 70 122 505 88 84
normalized size 1 1. 0.84 0.67 1.17 4.86 0.85 0.81
time (sec) N/A 0.074 0.022 0.008 0.935 1.626 0.19 1.056
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 99 80 127 555 90 89
normalized size 1 1. 0.97 0.78 1.25 5.44 0.88 0.87
time (sec) N/A 0.037 0.051 0.01 0.932 1.747 0.209 1.064
Problem 206 Optimal Rubi Mathematica Maple 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 35 53 92 37 63
normalized size 1 1. 1. 0.88 1.32 2.3 0.92 1.58
time (sec) N/A 0.023 0.005 0.007 0.931 1.736 0.378 1.055
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 62 56 112 263 102 78
normalized size 1 1. 0.75 0.67 1.35 3.17 1.23 0.94
time (sec) N/A 0.039 0.022 0.011 1.54 1.769 35.744 1.062
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 32 42 103 42 42
normalized size 1 1. 1. 0.65 0.86 2.1 0.86 0.86
time (sec) N/A 0.057 0.022 0.002 0.958 1.687 2.234 1.051
Problem 209 Optimal Rubi Mathematica Maple 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 32 42 143 48 42
normalized size 1 1. 1. 0.58 0.76 2.6 0.87 0.76
time (sec) N/A 0.238 0.046 0.003 0.941 1.639 2.037 1.073
Problem 210 Optimal Rubi Mathematica Maple 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 31 24 54 19 24
normalized size 1 1. 1. 1.41 1.09 2.45 0.86 1.09
time (sec) N/A 0.009 0.008 0.001 0.932 1.663 0.111 1.051
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 19 13 16 31 22 16
normalized size 1 1. 1.27 0.87 1.07 2.07 1.47 1.07
time (sec) N/A 0.006 0.015 0.002 0.932 1.744 0.751 1.043
Problem 212 Optimal Rubi Mathematica Maple 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 24 21 27 59 20 28
normalized size 1 1. 0.96 0.84 1.08 2.36 0.8 1.12
time (sec) N/A 0.017 0.01 0.002 0.941 1.717 0.139 1.071
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 111 34 84 0 35
normalized size 1 1. 1. 3.36 1.03 2.55 0. 1.06
time (sec) N/A 0.019 0.021 0.031 0.927 1.724 0. 1.084
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 20 26 69 134 26
normalized size 1 1. 0.83 0.69 0.9 2.38 4.62 0.9
time (sec) N/A 0.009 0.008 0.002 0.935 1.786 1.33 1.049
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 53 20 73 74 174 3966 66
normalized size 1 1.02 0.38 1.4 1.42 3.35 76.27 1.27
time (sec) N/A 0.01 0.004 0.012 0.937 1.782 2.695 1.075
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 127 26 157 150 328 971 140
normalized size 1 1.08 0.22 1.33 1.27 2.78 8.23 1.19
time (sec) N/A 0.038 0.006 0.015 0.937 1.808 15.747 1.066
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 22 158 142 282 0 111
normalized size 1 1. 0.21 1.52 1.37 2.71 0. 1.07
time (sec) N/A 0.04 0.005 0.015 1.416 1.696 0. 1.072
Problem 218 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 38 38 67 39 58 90 0 39
normalized size 1 1. 1.76 1.03 1.53 2.37 0. 1.03
time (sec) N/A 0.013 0.023 0.006 1.406 1.781 0. 1.054
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 95 115 208 176 165 0 139
normalized size 1 1.03 1.25 2.26 1.91 1.79 0. 1.51
time (sec) N/A 0.059 0.257 0.019 1.422 1.798 0. 1.091
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 47 64 0 211 0 100
normalized size 1 1. 0.87 1.19 0. 3.91 0. 1.85
time (sec) N/A 0.096 0.102 0.023 0. 1.826 0. 1.082
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 304 319 153 0 0 1611 0 0
normalized size 1 1.05 0.5 0. 0. 5.3 0. 0.
time (sec) N/A 0.823 0.485 0.049 0. 2.191 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD
size 292 522 348 0 0 2724 0 0
normalized size 1 1.79 1.19 0. 0. 9.33 0. 0.
time (sec) N/A 1.846 0.676 0.039 0. 2.664 0. 0.
Problem 223 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 25 29 25 22 0 108 0 0
normalized size 1 1.16 1. 0.88 0. 4.32 0. 0.
time (sec) N/A 0.013 0.008 0.001 0. 1.778 0. 0.
Problem 224 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 25 30 25 22 0 169 0 0
normalized size 1 1.2 1. 0.88 0. 6.76 0. 0.
time (sec) N/A 0.016 0.013 0.003 0. 1.745 0. 0.
Problem 225 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 53 63 30 27 0 184 0 0
normalized size 1 1.19 0.57 0.51 0. 3.47 0. 0.
time (sec) N/A 0.02 0.016 0.001 0. 1.673 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B C F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 188 49 0 0 331 0 0
normalized size 1 2.81 0.73 0. 0. 4.94 0. 0.
time (sec) N/A 0.121 0.011 0.008 0. 1.711 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 133 114 118 0 375 0 230
normalized size 1 1.09 0.93 0.97 0. 3.07 0. 1.89
time (sec) N/A 0.346 0.13 0.018 0. 1.797 0. 1.19
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B C F F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 404 112 0 0 730 0 0
normalized size 1 2.69 0.75 0. 0. 4.87 0. 0.
time (sec) N/A 0.327 0.067 0.028 0. 1.885 0. 0.
Problem 229 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 43 43 27 32 69 159 0 31
normalized size 1 1. 0.63 0.74 1.6 3.7 0. 0.72
time (sec) N/A 0.006 0.011 0.003 0.941 1.712 0. 1.089
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 37 45 0 161 0 46
normalized size 1 1. 0.88 1.07 0. 3.83 0. 1.1
time (sec) N/A 0.043 0.008 0.008 0. 1.729 0. 1.073
Problem 231 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 139 139 35 144 0 355 0 0
normalized size 1 1. 0.25 1.04 0. 2.55 0. 0.
time (sec) N/A 0.127 0.008 0.016 0. 1.744 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B C F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 188 49 0 0 352 0 0
normalized size 1 2.51 0.65 0. 0. 4.69 0. 0.
time (sec) N/A 0.118 0.011 0.01 0. 1.811 0. 0.
Problem 233 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 29 29 23 24 0 59 0 0
normalized size 1 1. 0.79 0.83 0. 2.03 0. 0.
time (sec) N/A 0.033 0.008 0.002 0. 1.748 0. 0.
Problem 234 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 92 92 32 34 0 115 0 0
normalized size 1 1. 0.35 0.37 0. 1.25 0. 0.
time (sec) N/A 0.085 0.008 0.003 0. 1.628 0. 0.
Problem 235 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 19 19 19 15 22 93 0 22
normalized size 1 1. 1. 0.79 1.16 4.89 0. 1.16
time (sec) N/A 0.014 0.01 0.002 1.448 1.752 0. 1.087
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 5 11 74 0 5
normalized size 1 1. 1. 0.62 1.38 9.25 0. 0.62
time (sec) N/A 0.005 0.006 0.003 1.417 1.791 0. 1.06
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 12 15 115 0 15
normalized size 1 1. 1. 1. 1.25 9.58 0. 1.25
time (sec) N/A 0.004 0.007 0.004 1.425 2.039 0. 1.069
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 29 0 70 0 69
normalized size 1 1. 1. 0.94 0. 2.26 0. 2.23
time (sec) N/A 0.008 0.008 0.01 0. 2.079 0. 1.089
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 22 0 157 0 77
normalized size 1 1. 1. 0.71 0. 5.06 0. 2.48
time (sec) N/A 0.01 0.011 0.008 0. 1.98 0. 1.066
Problem 240 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 24 24 24 100 151 126 61 57
normalized size 1 1. 1. 4.17 6.29 5.25 2.54 2.38
time (sec) N/A 0.019 0.009 0.025 1.536 2.107 3.419 1.074
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 100 136 93 24 27
normalized size 1 1. 1. 4. 5.44 3.72 0.96 1.08
time (sec) N/A 0.019 0.009 0.027 1.463 1.991 3.302 1.059
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 96 70 0 189 0 100
normalized size 1 1. 2.23 1.63 0. 4.4 0. 2.33
time (sec) N/A 0.02 0.045 0.018 0. 2.022 0. 1.11
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 61 49 73 211 0 147
normalized size 1 1. 0.98 0.79 1.18 3.4 0. 2.37
time (sec) N/A 0.036 0.025 0.011 1.463 2.021 0. 1.153
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 159 69 0 479 0 221
normalized size 1 1. 1.94 0.84 0. 5.84 0. 2.7
time (sec) N/A 0.121 0.31 0.018 0. 2.148 0. 1.116
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 114 53 0 1057 0 228
normalized size 1 1. 1.81 0.84 0. 16.78 0. 3.62
time (sec) N/A 0.054 0.106 0.011 0. 2.231 0. 1.162
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 80 128 0 1041 0 139
normalized size 1 1. 1.43 2.29 0. 18.59 0. 2.48
time (sec) N/A 0.047 0.025 0.016 0. 2.615 0. 1.112
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 174 158 0 1110 0 261
normalized size 1 1. 2.49 2.26 0. 15.86 0. 3.73
time (sec) N/A 0.064 0.418 0.023 0. 2.842 0. 1.126
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 89 94 192 0 0 0 0
normalized size 1 1.11 1.18 2.4 0. 0. 0. 0.
time (sec) N/A 0.123 0.114 0.02 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 76 94 0 254 0 0
normalized size 1 1. 2. 2.47 0. 6.68 0. 0.
time (sec) N/A 0.024 0.039 0.01 0. 2.106 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 40 49 65 107 155 49
normalized size 1 1. 0.62 0.75 1. 1.65 2.38 0.75
time (sec) N/A 0.017 0.022 0.003 1.542 1.799 4.539 1.065
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 28 25 50 74 41 69
normalized size 1 1. 0.57 0.51 1.02 1.51 0.84 1.41
time (sec) N/A 0.011 0.006 0.003 1.469 1.822 4.003 1.073
Problem 252 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 49 49 28 25 50 109 139 35
normalized size 1 1. 0.57 0.51 1.02 2.22 2.84 0.71
time (sec) N/A 0.008 0.008 0.002 0.959 1.914 75.924 1.091
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 328 14 167 53 15
normalized size 1 1. 1. 27.33 1.17 13.92 4.42 1.25
time (sec) N/A 0.047 0.026 0.04 0.946 1.976 1.713 1.065
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 11 14 86 29 30
normalized size 1 1. 1. 0.92 1.17 7.17 2.42 2.5
time (sec) N/A 0.013 0.011 0.006 1.426 1.827 6.49 1.08
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 23 0 173 0 86
normalized size 1 1. 1. 0.85 0. 6.41 0. 3.19
time (sec) N/A 0.011 0.013 0.01 0. 1.717 0. 1.073
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 74 46 0 215 0 136
normalized size 1 1. 1.54 0.96 0. 4.48 0. 2.83
time (sec) N/A 0.014 0.245 0.014 0. 1.824 0. 1.072
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 100 144 211 0 97
normalized size 1 1. 1. 2.44 3.51 5.15 0. 2.37
time (sec) N/A 0.022 0.028 0.036 1.478 1.89 0. 1.118
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 85 70 0 122 0 166
normalized size 1 1. 1.81 1.49 0. 2.6 0. 3.53
time (sec) N/A 0.021 0.149 0.026 0. 1.852 0. 1.087
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 137 82 0 450 0 182
normalized size 1 1. 1.56 0.93 0. 5.11 0. 2.07
time (sec) N/A 0.239 0.177 0.02 0. 1.981 0. 1.135
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 261 654 0 541 0 238
normalized size 1 1. 1.92 4.81 0. 3.98 0. 1.75
time (sec) N/A 1.496 0.863 0.044 0. 2.007 0. 1.106
Problem 261 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 64 64 72 73 0 108 0 61
normalized size 1 1. 1.12 1.14 0. 1.69 0. 0.95
time (sec) N/A 0.017 0.11 0.007 0. 1.779 0. 1.085
Problem 262 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 89 89 80 91 0 135 0 73
normalized size 1 1. 0.9 1.02 0. 1.52 0. 0.82
time (sec) N/A 0.03 0.102 0.003 0. 2.146 0. 1.081
Problem 263 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 113 113 88 111 0 158 0 85
normalized size 1 1. 0.78 0.98 0. 1.4 0. 0.75
time (sec) N/A 0.043 0.115 0.005 0. 2.033 0. 1.069
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 64 42 73 170 0 96
normalized size 1 1. 1.31 0.86 1.49 3.47 0. 1.96
time (sec) N/A 0.031 0.029 0.012 1.464 2.163 0. 1.118
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 79 79 72 74 89 158 0 198
normalized size 1 1. 0.91 0.94 1.13 2. 0. 2.51
time (sec) N/A 0.044 0.056 0.013 1.486 2.082 0. 1.071
Problem 266 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 12 12 12 10 15 51 0 24
normalized size 1 1. 1. 0.83 1.25 4.25 0. 2.
time (sec) N/A 0.008 0.006 0.003 1.45 2.026 0. 1.072
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 41 47 65 116 0 53
normalized size 1 1. 0.77 0.89 1.23 2.19 0. 1.
time (sec) N/A 0.023 0.017 0.005 1.448 2.125 0. 1.076
Problem 268 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 19 19 19 16 30 90 0 20
normalized size 1 1. 1. 0.84 1.58 4.74 0. 1.05
time (sec) N/A 0.002 0.004 0.004 0.943 2.242 0. 1.073
Problem 269 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 17 17 17 14 30 84 0 18
normalized size 1 1. 1. 0.82 1.76 4.94 0. 1.06
time (sec) N/A 0.004 0.034 0.002 0.959 2.053 0. 1.068
Problem 270 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 48 61 63 184 0 51
normalized size 1 1. 0.86 1.09 1.12 3.29 0. 0.91
time (sec) N/A 0.024 0.012 0.004 1.434 2.045 0. 1.077
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 46 49 76 132 0 59
normalized size 1 1. 0.71 0.75 1.17 2.03 0. 0.91
time (sec) N/A 0.024 0.021 0.005 1.437 2.027 0. 1.069
Problem 272 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 55 55 46 43 76 134 0 59
normalized size 1 1. 0.84 0.78 1.38 2.44 0. 1.07
time (sec) N/A 0.014 0.015 0.002 1.434 2.109 0. 1.069
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 74 74 56 58 104 176 0 73
normalized size 1 1. 0.76 0.78 1.41 2.38 0. 0.99
time (sec) N/A 0.019 0.021 0.003 1.447 2.182 0. 1.067
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 31 50 144 0 90
normalized size 1 1. 1. 0.82 1.32 3.79 0. 2.37
time (sec) N/A 0.013 0.009 0.005 1.45 2.15 0. 1.09
Problem 275 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 57 57 43 44 68 169 0 113
normalized size 1 1. 0.75 0.77 1.19 2.96 0. 1.98
time (sec) N/A 0.024 0.014 0.003 1.438 2.069 0. 1.08
Problem 276 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 62 62 50 56 78 258 0 108
normalized size 1 1. 0.81 0.9 1.26 4.16 0. 1.74
time (sec) N/A 0.027 0.016 0.004 1.462 2.211 0. 1.083
Problem 277 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 79 79 65 69 96 284 0 158
normalized size 1 1. 0.82 0.87 1.22 3.59 0. 2.
time (sec) N/A 0.037 0.013 0.005 1.67 2.114 0. 1.098
Problem 278 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 22 22 22 22 34 86 0 43
normalized size 1 1. 1. 1. 1.55 3.91 0. 1.95
time (sec) N/A 0.009 0.003 0.003 1.682 2.027 0. 1.097
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 83 69 0 319 0 198
normalized size 1 1. 0.97 0.8 0. 3.71 0. 2.3
time (sec) N/A 0.278 0.06 0.01 0. 2.164 0. 1.16
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 61 91 82 263 0 204
normalized size 1 1. 0.98 1.47 1.32 4.24 0. 3.29
time (sec) N/A 0.047 0.038 0.007 1.458 1.901 0. 1.16
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 146 123 0 504 0 317
normalized size 1 1. 1.92 1.62 0. 6.63 0. 4.17
time (sec) N/A 0.068 0.369 0.024 0. 1.883 0. 1.096
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 26 21 38 58 0 41
normalized size 1 1. 0.72 0.58 1.06 1.61 0. 1.14
time (sec) N/A 0.128 0.011 0.005 1.469 1.886 0. 1.071
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 134 69 0 455 0 200
normalized size 1 1. 1.54 0.79 0. 5.23 0. 2.3
time (sec) N/A 0.209 0.147 0.017 0. 1.87 0. 1.08
Problem 284 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 58 58 39 38 103 262 0 45
normalized size 1 1. 0.67 0.66 1.78 4.52 0. 0.78
time (sec) N/A 0.011 0.011 0.003 0.964 1.786 0. 1.098
Problem 285 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 47 47 33 30 80 197 0 36
normalized size 1 1. 0.7 0.64 1.7 4.19 0. 0.77
time (sec) N/A 0.007 0.016 0.002 0.962 1.641 0. 1.079
Problem 286 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 47 47 33 30 80 136 0 53
normalized size 1 1. 0.7 0.64 1.7 2.89 0. 1.13
time (sec) N/A 0.008 0.011 0.003 0.957 1.842 0. 1.096
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 30 40 0 108 0 81
normalized size 1 1. 1.03 1.38 0. 3.72 0. 2.79
time (sec) N/A 0.039 0.02 0.007 0. 1.837 0. 1.085
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 59 59 52 0 193 0 89
normalized size 1 1.31 1.31 1.16 0. 4.29 0. 1.98
time (sec) N/A 0.032 0.03 0.005 0. 1.727 0. 1.09
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 71 59 0 159 0 73
normalized size 1 1. 0.9 0.75 0. 2.01 0. 0.92
time (sec) N/A 0.136 0.074 0.003 0. 1.865 0. 1.07
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 80 80 0 306 0 142
normalized size 1 1. 1. 1. 0. 3.82 0. 1.78
time (sec) N/A 0.343 0.11 0.01 0. 1.935 0. 1.142
Problem 291 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 158 158 151 140 0 460 0 0
normalized size 1 1. 0.96 0.89 0. 2.91 0. 0.
time (sec) N/A 0.526 0.277 0.012 0. 1.883 0. 0.
Problem 292 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 41 41 22 30 51 82 131 39
normalized size 1 1. 0.54 0.73 1.24 2. 3.2 0.95
time (sec) N/A 0.009 0.004 0.007 1.442 1.899 2.672 1.075
Problem 293 Optimal Rubi Mathematica Maple 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 18 15 41 10 15
normalized size 1 1. 1. 1.38 1.15 3.15 0.77 1.15
time (sec) N/A 0.004 0.005 0.001 0.953 1.78 0.916 1.064
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 26 109 103 238 541 103
normalized size 1 1. 0.37 1.54 1.45 3.35 7.62 1.45
time (sec) N/A 0.028 0.005 0.013 1.433 1.776 2.13 1.084
Problem 295 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 40 40 23 20 38 90 180 66
normalized size 1 1. 0.57 0.5 0.95 2.25 4.5 1.65
time (sec) N/A 0.007 0.012 0.003 0.959 1.765 1.718 1.078
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 53 70 180 51 0
normalized size 1 1. 1. 1.1 1.46 3.75 1.06 0.
time (sec) N/A 0.018 0.012 0.007 1.46 1.833 3.489 0.
Problem 297 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 69 69 36 46 61 86 3305 85
normalized size 1 1. 0.52 0.67 0.88 1.25 47.9 1.23
time (sec) N/A 0.02 0.013 0.003 0.955 1.843 2.057 1.079
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 34 130 212 643 44 192
normalized size 1 1. 0.18 0.67 1.1 3.33 0.23 0.99
time (sec) N/A 0.113 0.008 0.013 1.466 1.895 19.928 1.078
Problem 299 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 13 13 13 37 12 30 26 12
normalized size 1 1. 1. 2.85 0.92 2.31 2. 0.92
time (sec) N/A 0.003 0.003 0.006 0.937 1.738 0.56 1.06
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 37 12 31 12 12
normalized size 1 1. 1. 2.85 0.92 2.38 0.92 0.92
time (sec) N/A 0.003 0.003 0.004 0.943 1.779 0.573 1.062
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 84 74 86 217 42 86
normalized size 1 1. 1.42 1.25 1.46 3.68 0.71 1.46
time (sec) N/A 0.037 0.022 0.058 1.444 1.948 1.035 1.093
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 26 76 89 240 34 90
normalized size 1 1. 0.37 1.09 1.27 3.43 0.49 1.29
time (sec) N/A 0.038 0.006 0.039 1.455 1.813 1.896 1.09
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C A B C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 27 35 112 390 41 112
normalized size 1 1. 0.4 0.51 1.65 5.74 0.6 1.65
time (sec) N/A 0.021 0.004 0.04 1.468 26.156 1.053 1.083
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 26 42 176 298 41 149
normalized size 1 1. 0.28 0.45 1.89 3.2 0.44 1.6
time (sec) N/A 0.029 0.005 0.021 1.469 1.867 2.094 1.084
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 43 42 174 302 39 147
normalized size 1 1. 0.46 0.45 1.87 3.25 0.42 1.58
time (sec) N/A 0.029 0.014 0.02 1.439 1.898 1.6 1.107
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B C C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 200 40 15 0 347 0 0
normalized size 1 2.15 0.43 0.16 0. 3.73 0. 0.
time (sec) N/A 0.144 0.009 0.026 0. 3.469 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-1) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 114 83 108 0 0 0 0
normalized size 1 0.9 0.66 0.86 0. 0. 0. 0.
time (sec) N/A 0.115 0.049 0.01 0. 0. 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 29 0 0 128 0 95
normalized size 1 1. 0.85 0. 0. 3.76 0. 2.79
time (sec) N/A 0.032 0.013 0.053 0. 2.406 0. 1.138
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 47 0 0 131 0 66
normalized size 1 1. 0.81 0. 0. 2.26 0. 1.14
time (sec) N/A 0.037 0.017 0.025 0. 2.372 0. 1.076
Problem 310 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 71 71 55 60 70 196 0 0
normalized size 1 1. 0.77 0.85 0.99 2.76 0. 0.
time (sec) N/A 0.052 0.028 0.01 1.469 2.36 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 57 46 70 149 0 0
normalized size 1 1. 2.71 2.19 3.33 7.1 0. 0.
time (sec) N/A 0.029 0.015 0.017 0.979 2.136 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 75 22 18 35 36 18
normalized size 1 1. 4.41 1.29 1.06 2.06 2.12 1.06
time (sec) N/A 0.01 0.055 0.005 0.964 1.996 1.249 1.086
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 116 46 97 221 46
normalized size 1 1. 0.87 2.52 1. 2.11 4.8 1.
time (sec) N/A 0.193 0.081 0.067 0.972 2.035 3.088 1.074
Problem 314 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 78 107 104 0 0 624 0 0
normalized size 1 1.37 1.33 0. 0. 8. 0. 0.
time (sec) N/A 0.071 0.077 0.042 0. 27.472 0. 0.
Problem 315 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 141 141 120 0 0 1062 0 0
normalized size 1 1. 0.85 0. 0. 7.53 0. 0.
time (sec) N/A 0.06 0.048 0.024 0. 49.475 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 91 29 127 252 71 0
normalized size 1 1. 1.44 0.46 2.02 4. 1.13 0.
time (sec) N/A 0.011 0.034 0.027 1.471 1.916 1.828 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 74 74 41 0 0 668 0 0
normalized size 1 1. 0.55 0. 0. 9.03 0. 0.
time (sec) N/A 0.024 0.01 0.033 0. 52.759 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 59 26 23 99 111 0 0
normalized size 1 1.23 0.54 0.48 2.06 2.31 0. 0.
time (sec) N/A 0.012 0.009 0.006 0.959 1.508 0. 0.
Problem 319 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 90 123 120 0 0 1281 0 0
normalized size 1 1.37 1.33 0. 0. 14.23 0. 0.
time (sec) N/A 0.082 0.144 0.022 0. 71.299 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 40 112 0 61 0 0
normalized size 1 1. 1.74 4.87 0. 2.65 0. 0.
time (sec) N/A 0.034 0.096 0.007 0. 1.769 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 36 112 0 111 0 0
normalized size 1 1. 1.57 4.87 0. 4.83 0. 0.
time (sec) N/A 0.036 0.09 0.006 0. 1.77 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 23 21 18 77 123 14 0
normalized size 1 1.44 1.31 1.12 4.81 7.69 0.88 0.
time (sec) N/A 0.024 0.017 0.009 1.512 1.56 3.96 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 23 19 18 77 123 14 0
normalized size 1 1.44 1.19 1.12 4.81 7.69 0.88 0.
time (sec) N/A 0.025 0.014 0.005 1.454 1.497 4.096 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 26 26 522 184 0 119 0 0
normalized size 1 1. 20.08 7.08 0. 4.58 0. 0.
time (sec) N/A 0.043 1.239 0.157 0. 1.73 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 94 188 0 42 0 0
normalized size 1 1. 6.27 12.53 0. 2.8 0. 0.
time (sec) N/A 0.039 0.13 0.023 0. 1.768 0. 0.
Problem 326 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 16 16 16 29 30 31 0 0
normalized size 1 1. 1. 1.81 1.88 1.94 0. 0.
time (sec) N/A 0.018 0.036 0.006 1.153 1.498 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 74 74 17955 247419 0 633 0 0
normalized size 1 1. 242.64 3343.5 0. 8.55 0. 0.
time (sec) N/A 0.204 6.46 0.114 0. 3.1 0. 0.
Problem 328 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 24 0 0 149 0 0
normalized size 1 1. 1.09 0. 0. 6.77 0. 0.
time (sec) N/A 0.064 1.007 0.024 0. 6.079 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 26 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.081 0.079 0. 0. 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 14 36 10 14
normalized size 1 1. 1. 0.79 1. 2.57 0.71 1.
time (sec) N/A 0.007 0.002 0. 1.026 1.541 0.056 1.053
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 15 11 12 36 8 12
normalized size 1 1. 1.36 1. 1.09 3.27 0.73 1.09
time (sec) N/A 0.007 0.002 0.003 0.928 1.481 0.058 1.044
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 22 18 22 59 24 22
normalized size 1 1. 0.92 0.75 0.92 2.46 1. 0.92
time (sec) N/A 0.01 0.002 0. 0.932 1.6 0.057 1.048
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 30 24 32 82 36 30
normalized size 1 1. 0.88 0.71 0.94 2.41 1.06 0.88
time (sec) N/A 0.019 0.002 0.005 0.935 1.59 0.057 1.059
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 38 30 41 111 48 38
normalized size 1 1. 0.86 0.68 0.93 2.52 1.09 0.86
time (sec) N/A 0.021 0.003 0.034 0.94 1.697 0.06 1.072
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 64 21 39 31 112 99 19
normalized size 1 3.2 1.05 1.95 1.55 5.6 4.95 0.95
time (sec) N/A 0.016 0.017 0.01 0.934 1.671 0.616 1.052
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 23 31 70 39 31
normalized size 1 1. 1. 0.74 1. 2.26 1.26 1.
time (sec) N/A 0.011 0.016 0.007 0.936 1.567 0.309 1.061
Problem 337 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 21 21 27 18 27 112 32 27
normalized size 1 1. 1.29 0.86 1.29 5.33 1.52 1.29
time (sec) N/A 0.009 0.003 0.028 0.937 1.583 0.058 1.066
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 95 32 73 302 60 151
normalized size 1 1. 2.64 0.89 2.03 8.39 1.67 4.19
time (sec) N/A 0.02 0.008 0.034 0.923 1.778 0.159 1.057
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 57 37 45 138 66 45
normalized size 1 1. 1.39 0.9 1.1 3.37 1.61 1.1
time (sec) N/A 0.017 0.004 0.033 0.932 1.609 0.06 1.046
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 40 69 198 388 72
normalized size 1 1. 1. 1. 1.72 4.95 9.7 1.8
time (sec) N/A 0.012 0.012 0.036 0.93 1.61 1.291 1.062
Problem 341 Optimal Rubi Mathematica Maple 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 30 19 24 57 31 24
normalized size 1 1. 1.36 0.86 1.09 2.59 1.41 1.09
time (sec) N/A 0.014 0.004 0.002 1.412 1.526 0.069 1.049
Problem 342 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 16 26 30 116 19 50
normalized size 1 1. 0.8 1.3 1.5 5.8 0.95 2.5
time (sec) N/A 0.015 0.003 0.007 0.933 1.721 0.101 1.069
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 40 28 41 207 20 72
normalized size 1 1. 1.25 0.88 1.28 6.47 0.62 2.25
time (sec) N/A 0.014 0.032 0.003 1.427 1.681 0.194 1.091
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 46 42 32 127 56 46
normalized size 1 1. 0.82 0.75 0.57 2.27 1. 0.82
time (sec) N/A 0.062 0.015 0.008 0.93 1.981 0.061 1.058
Problem 345 Optimal Rubi Mathematica Maple 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 55 38 34 85 27 34
normalized size 1 1. 1.67 1.15 1.03 2.58 0.82 1.03
time (sec) N/A 0.03 0.027 0.008 0.934 2.05 0.065 1.049
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 37 54 123 44 51
normalized size 1 1. 1. 0.8 1.17 2.67 0.96 1.11
time (sec) N/A 0.028 0.015 0.01 0.935 2.128 0.09 1.07
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 53 56 50 174 44 35
normalized size 1 1. 1.29 1.37 1.22 4.24 1.07 0.85
time (sec) N/A 0.034 0.036 0.011 0.943 1.932 0.067 1.063
Problem 348 Optimal Rubi Mathematica Maple 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 14 19 14 58 14 14
normalized size 1 1. 0.58 0.79 0.58 2.42 0.58 0.58
time (sec) N/A 0.027 0.004 0.004 0.931 1.823 0.063 1.061
Problem 349 Optimal Rubi Mathematica Maple 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 22 36 22 103 31 22
normalized size 1 1. 0.48 0.78 0.48 2.24 0.67 0.48
time (sec) N/A 0.057 0.007 0. 0.933 1.764 0.067 1.066
Problem 350 Optimal Rubi Mathematica Maple 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 30 52 32 151 46 30
normalized size 1 1. 0.44 0.76 0.47 2.22 0.68 0.44
time (sec) N/A 0.085 0.015 0.008 0.938 2.014 0.066 1.052
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 38 68 41 208 61 38
normalized size 1 1. 0.42 0.76 0.46 2.31 0.68 0.42
time (sec) N/A 0.137 0.015 0.033 0.945 2.004 0.069 1.057
Problem 352 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 68 68 58 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.066 0.298 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 45 25 55 207 54 178
normalized size 1 1. 1.41 0.78 1.72 6.47 1.69 5.56
time (sec) N/A 0.021 0.067 0.019 0.94 1.811 1.743 1.108
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 11 8 50 17 8
normalized size 1 1. 1. 1.38 1. 6.25 2.12 1.
time (sec) N/A 0.022 0.003 0.01 0.933 1.749 0.063 1.073
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 32 19 62 14 19
normalized size 1 1. 1. 2.91 1.73 5.64 1.27 1.73
time (sec) N/A 0.016 0.007 0.009 0.944 1.868 0.089 1.082
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 19 7 8
normalized size 1 1. 1. 0.88 1. 2.38 0.88 1.
time (sec) N/A 0.013 0.005 0.008 0.931 1.827 0.064 1.067
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 71 36 51 221 39 63
normalized size 1 1. 2.73 1.38 1.96 8.5 1.5 2.42
time (sec) N/A 0.031 0.018 0.012 0.934 1.88 0.133 1.09
Problem 358 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 17 17 17 22 19 86 14 24
normalized size 1 1. 1. 1.29 1.12 5.06 0.82 1.41
time (sec) N/A 0.026 0.008 0.008 0.929 1.783 0.096 1.101
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 24 49 26 73 0 31
normalized size 1 1. 0.77 1.58 0.84 2.35 0. 1.
time (sec) N/A 0.026 0.05 0.092 0.939 1.872 0. 1.1
Problem 360 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 21 21 22 26 18 86 0 18
normalized size 1 1. 1.05 1.24 0.86 4.1 0. 0.86
time (sec) N/A 0.024 0.037 0.259 0.936 2.461 0. 1.093
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 95 52 73 297 56 59
normalized size 1 1. 2.5 1.37 1.92 7.82 1.47 1.55
time (sec) N/A 0.053 0.019 0.016 0.932 2.56 0.16 1.087
Problem 362 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 76 76 74 76 100 252 0 128
normalized size 1 1. 0.97 1. 1.32 3.32 0. 1.68
time (sec) N/A 0.039 0.074 0.023 0.948 2.653 0. 1.18
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 84 127 186 155 487 0 201
normalized size 1 0.95 1.44 2.11 1.76 5.53 0. 2.28
time (sec) N/A 0.551 1.78 0.196 1.444 2.782 0. 1.124
Problem 364 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 70 70 74 66 73 194 162 73
normalized size 1 1. 1.06 0.94 1.04 2.77 2.31 1.04
time (sec) N/A 0.153 0.081 0.039 0.942 2.172 1.671 1.1
Problem 365 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 33 33 29 33 49 220 39 101
normalized size 1 1. 0.88 1. 1.48 6.67 1.18 3.06
time (sec) N/A 0.062 0.023 0.004 1.414 2.151 0.612 1.142
Problem 366 Optimal Rubi Mathematica Maple 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 20 21 19 80 24 19
normalized size 1 1. 1.25 1.31 1.19 5. 1.5 1.19
time (sec) N/A 0.043 0.014 0.059 1.431 2.181 110.271 1.066
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 22 28 97 24 31
normalized size 1 1. 1. 1.83 2.33 8.08 2. 2.58
time (sec) N/A 0.023 0.01 0.021 0.931 2.301 1.324 1.068
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 14 18 59 20 18
normalized size 1 1. 1. 0.82 1.06 3.47 1.18 1.06
time (sec) N/A 0.008 0.006 0.046 0.924 2.205 0.516 1.113
Problem 369 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 26 26 26 31 73 142 75 51
normalized size 1 1. 1. 1.19 2.81 5.46 2.88 1.96
time (sec) N/A 0.03 0.05 0.023 0.939 2.452 108.838 1.077
Problem 370 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 38 38 38 29 41 99 144 38
normalized size 1 1. 1. 0.76 1.08 2.61 3.79 1.
time (sec) N/A 0.03 0.01 0.062 0.958 2.475 27.566 1.084
Problem 371 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 35 45 138 22 136
normalized size 1 1. 1. 1.75 2.25 6.9 1.1 6.8
time (sec) N/A 0.046 0.011 0.048 0.942 2.367 105.548 1.102
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 19 26 78 14 96
normalized size 1 1. 1. 1.58 2.17 6.5 1.17 8.
time (sec) N/A 0.021 0.009 0.05 0.937 2.245 15.391 1.081
Problem 373 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 64 65 39 35 281 223 0 101
normalized size 1 1.02 0.61 0.55 4.39 3.48 0. 1.58
time (sec) N/A 0.078 0.036 0.062 1.508 2.467 0. 1.148
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 17 17 27 124 59 0 32
normalized size 1 1.55 1.55 2.45 11.27 5.36 0. 2.91
time (sec) N/A 0.033 0.013 0.044 0.956 2.212 0. 1.111
Problem 375 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 7 7 7 12 12 34 0 12
normalized size 1 1. 1. 1.71 1.71 4.86 0. 1.71
time (sec) N/A 0.039 0.031 0.035 1.423 2.278 0. 1.072
Problem 376 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 53 83 33 43 36 128 107 105
normalized size 1 1.57 0.62 0.81 0.68 2.42 2.02 1.98
time (sec) N/A 0.098 0.059 0.046 1.41 2.369 8.793 1.067
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 94 22 20 53 230 39 50
normalized size 1 2.85 0.67 0.61 1.61 6.97 1.18 1.52
time (sec) N/A 0.074 0.043 0.031 1.411 2.224 1.711 1.151
Problem 378 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 27 27 9 8 9 70 148 27
normalized size 1 1. 0.33 0.3 0.33 2.59 5.48 1.
time (sec) N/A 0.021 0.021 0.026 1.416 2.149 14.474 1.113
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 41 29 38 153 105 39
normalized size 1 1. 1.46 1.04 1.36 5.46 3.75 1.39
time (sec) N/A 0.041 0.04 0.1 1.421 2.162 0.51 1.117
Problem 380 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 67 67 58 39 51 212 0 105
normalized size 1 1. 0.87 0.58 0.76 3.16 0. 1.57
time (sec) N/A 0.046 0.115 0.063 1.423 2.221 0. 1.103
Problem 381 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 55 55 54 29 38 184 0 82
normalized size 1 1. 0.98 0.53 0.69 3.35 0. 1.49
time (sec) N/A 0.032 0.084 0.038 1.416 2.128 0. 1.087
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 70 43 59 243 253 53
normalized size 1 1. 1.67 1.02 1.4 5.79 6.02 1.26
time (sec) N/A 0.096 0.217 0.025 1.417 2.242 0.54 1.13
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 20 0 65 76 28
normalized size 1 1. 1. 2.22 0. 7.22 8.44 3.11
time (sec) N/A 0.022 0.007 0.04 0. 2.192 6.425 1.106
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 174 13 174 97 0 66
normalized size 1 1. 11.6 0.87 11.6 6.47 0. 4.4
time (sec) N/A 0.014 0.372 0.02 1.449 2.167 0. 1.142
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 28 19 173 96 22 27
normalized size 1 1. 1.65 1.12 10.18 5.65 1.29 1.59
time (sec) N/A 0.042 0.015 0.037 1.531 2.209 1.233 1.117
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 18 109 62 0 120
normalized size 1 1. 1. 0.86 5.19 2.95 0. 5.71
time (sec) N/A 0.041 0.015 0.053 1.432 2.32 0. 1.114
Problem 387 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 21 21 21 34 174 65 17 41
normalized size 1 1. 1. 1.62 8.29 3.1 0.81 1.95
time (sec) N/A 0.023 0.007 0.051 1.412 2.222 1.175 1.086
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 28 231 158 0 65
normalized size 1 1. 1. 1.08 8.88 6.08 0. 2.5
time (sec) N/A 0.024 0.023 0.056 1.483 2.065 0. 1.116
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 218 28 231 159 0 65
normalized size 1 1. 8.38 1.08 8.88 6.12 0. 2.5
time (sec) N/A 0.035 0.316 0.066 1.473 2.033 0. 1.126
Problem 390 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 16 16 25 22 0 99 0 0
normalized size 1 1. 1.56 1.38 0. 6.19 0. 0.
time (sec) N/A 0.009 0.014 0.033 0. 1.805 0. 0.
Problem 391 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 17 17 27 31 0 99 0 0
normalized size 1 1. 1.59 1.82 0. 5.82 0. 0.
time (sec) N/A 0.012 0.014 0.033 0. 1.812 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 47 9 55 161 0 0
normalized size 1 1. 1.74 0.33 2.04 5.96 0. 0.
time (sec) N/A 0.013 0.014 0.015 1.588 1.852 0. 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 33 17 136 167 0 0
normalized size 1 1. 1.1 0.57 4.53 5.57 0. 0.
time (sec) N/A 0.013 0.015 0.034 1.613 1.813 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 61 52 585 300 0 80
normalized size 1 1. 1.15 0.98 11.04 5.66 0. 1.51
time (sec) N/A 0.028 0.118 0.047 1.671 1.94 0. 1.206
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 76 47 0 223 0 0
normalized size 1 1. 1.04 0.64 0. 3.05 0. 0.
time (sec) N/A 0.033 0.166 0.037 0. 1.887 0. 0.
Problem 396 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 55 55 36 42 58 127 0 0
normalized size 1 1. 0.65 0.76 1.05 2.31 0. 0.
time (sec) N/A 0.151 0.077 0.436 0.929 2.081 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 24 49 108 572 0 108
normalized size 1 1. 0.24 0.5 1.1 5.84 0. 1.1
time (sec) N/A 0.069 0.012 0.001 1.419 1.889 0. 1.142
Problem 398 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 57 69 69 53 70 192 0 70
normalized size 1 1.21 1.21 0.93 1.23 3.37 0. 1.23
time (sec) N/A 0.058 0.05 0.012 1.415 1.87 0. 1.168
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 73 130 4338 1613 0 0
normalized size 1 1. 0.84 1.49 49.86 18.54 0. 0.
time (sec) N/A 0.113 0.093 0.049 2.499 2.09 0. 0.
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 38 219 41 259 0 42
normalized size 1 1. 0.95 5.48 1.02 6.48 0. 1.05
time (sec) N/A 0.147 1.201 0.461 0.935 2.078 0. 1.203
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A C F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 133 62 97 158 2503 0 150
normalized size 1 1.58 0.74 1.15 1.88 29.8 0. 1.79
time (sec) N/A 0.371 0.293 0.024 1.424 11.726 0. 1.213
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 266 0 455 0 0
normalized size 1 1. 1. 8.58 0. 14.68 0. 0.
time (sec) N/A 0.015 0.038 0.041 0. 2.013 0. 0.
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 29 98 0 455 0 0
normalized size 1 1. 0.94 3.16 0. 14.68 0. 0.
time (sec) N/A 0.015 0.029 0.048 0. 1.983 0. 0.
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 41 171 0 513 0 0
normalized size 1 1. 0.91 3.8 0. 11.4 0. 0.
time (sec) N/A 0.03 0.035 0.053 0. 1.972 0. 0.
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 43 443 0 262 0 0
normalized size 1 1. 0.91 9.43 0. 5.57 0. 0.
time (sec) N/A 0.096 0.062 0.08 0. 1.892 0. 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 50 510 0 594 0 0
normalized size 1 1. 0.82 8.36 0. 9.74 0. 0.
time (sec) N/A 0.08 0.088 0.105 0. 2.073 0. 0.
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 56 1108 0 684 0 0
normalized size 1 1. 0.92 18.16 0. 11.21 0. 0.
time (sec) N/A 0.082 0.074 0.058 0. 2.133 0. 0.
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 508 0 124 0 0
normalized size 1 1. 1. 31.75 0. 7.75 0. 0.
time (sec) N/A 0.022 0.032 0.049 0. 1.935 0. 0.
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 20 286 0 100 0 0
normalized size 1 1. 0.65 9.23 0. 3.23 0. 0.
time (sec) N/A 0.041 0.029 0.05 0. 1.952 0. 0.
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 121 0 130 0 0
normalized size 1 1. 0.83 4.17 0. 4.48 0. 0.
time (sec) N/A 0.048 0.03 0.039 0. 1.889 0. 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 95 150 761 0 506 0 0
normalized size 1 1.4 2.21 11.19 0. 7.44 0. 0.
time (sec) N/A 0.856 6.036 0.215 0. 2.118 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 29 19 16 8 55 0 0
normalized size 1 1.53 1. 0.84 0.42 2.89 0. 0.
time (sec) N/A 0.124 0.007 0.126 1.491 2.127 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 204 66 310 0 0 0 0
normalized size 1 2.22 0.72 3.37 0. 0. 0. 0.
time (sec) N/A 0.239 0.074 0.141 0. 0. 0. 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 63 0 18 96 0 0
normalized size 1 1. 1.34 0. 0.38 2.04 0. 0.
time (sec) N/A 0.144 0.146 0.348 1.522 2.872 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 35 0 104 336 0 0
normalized size 1 1. 0.5 0. 1.49 4.8 0. 0.
time (sec) N/A 0.196 0.054 0.29 1.515 3.102 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 234 105 247 0 2007 0 0
normalized size 1 2.17 0.97 2.29 0. 18.58 0. 0.
time (sec) N/A 1.54 0.261 0.317 0. 76.053 0. 0.
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-2) F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 364 665 475 23475 0 0 0 0
normalized size 1 1.83 1.3 64.49 0. 0. 0. 0.
time (sec) N/A 4.73 14.528 3.754 0. 0. 0. 0.
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 141 58 0 81 182 0 0
normalized size 1 1.13 0.46 0. 0.65 1.46 0. 0.
time (sec) N/A 1.019 0.393 0.75 1.738 2.994 0. 0.
Problem 419 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 73 67 61 56 74 352 0 74
normalized size 1 0.92 0.84 0.77 1.01 4.82 0. 1.01
time (sec) N/A 0.047 0.138 0.012 1.467 3.394 0. 1.085
Problem 420 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 69 69 48 103 72 296 0 55
normalized size 1 1. 0.7 1.49 1.04 4.29 0. 0.8
time (sec) N/A 0.053 0.073 0.092 1.431 3.08 0. 1.088
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A C C F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 61 82 49 431 0 41
normalized size 1 1. 1.05 1.41 0.84 7.43 0. 0.71
time (sec) N/A 0.051 0.075 0.082 1.484 2.789 0. 1.112
Problem 422 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 55 55 37 44 58 155 0 41
normalized size 1 1. 0.67 0.8 1.05 2.82 0. 0.75
time (sec) N/A 0.054 0.092 0.03 0.96 3.544 0. 1.119
Problem 423 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 39 39 39 58 967 302 0 51
normalized size 1 1. 1. 1.49 24.79 7.74 0. 1.31
time (sec) N/A 0.067 0.094 0.113 1.733 3.22 0. 1.102
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 63 53 93 413 0 54
normalized size 1 1. 1.31 1.1 1.94 8.6 0. 1.12
time (sec) N/A 0.072 0.304 0.074 1.489 3.007 0. 1.112
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 28 46 259 4 0 45
normalized size 1 1. 0.57 0.94 5.29 0.08 0. 0.92
time (sec) N/A 0.116 0.083 0.046 1.029 3.177 0. 1.098
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A C F(-2) F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 119 338 130 155 0 0 356
normalized size 1 1.07 3.05 1.17 1.4 0. 0. 3.21
time (sec) N/A 0.575 2.327 0.184 1.511 0. 0. 1.786
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 156 97512 0 632 0 0
normalized size 1 1. 1.39 870.64 0. 5.64 0. 0.
time (sec) N/A 0.444 0.344 4.062 0. 4.091 0. 0.
Problem 428 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 33 33 29 38 34 89 0 0
normalized size 1 1. 0.88 1.15 1.03 2.7 0. 0.
time (sec) N/A 0.061 0.041 0.101 0.97 3.465 0. 0.
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 61 659 242 0 36
normalized size 1 1. 0.97 1.85 19.97 7.33 0. 1.09
time (sec) N/A 0.022 0.018 0.056 1.6 3.213 0. 1.115
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 55 1067 329 0 65
normalized size 1 1. 0.89 1. 19.4 5.98 0. 1.18
time (sec) N/A 0.033 0.095 0.038 1.635 3.43 0. 1.115
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 39 122 109 0 62
normalized size 1 1. 1. 2.44 7.62 6.81 0. 3.88
time (sec) N/A 0.013 0.036 0.075 1.51 3.198 0. 1.274
Problem 432 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 49 100 0 365 0 0
normalized size 1 1. 1. 2.04 0. 7.45 0. 0.
time (sec) N/A 0.057 0.093 0.067 0. 3.844 0. 0.
Problem 433 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 87 91 62 180 1835 506 0 74
normalized size 1 1.05 0.71 2.07 21.09 5.82 0. 0.85
time (sec) N/A 0.208 0.201 0.168 2.033 3.799 0. 1.139
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 115 754 0 417 0 0
normalized size 1 1. 1.69 11.09 0. 6.13 0. 0.
time (sec) N/A 0.055 0.207 0.264 0. 3.727 0. 0.
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 40 40 79 473 0 351 0 0
normalized size 1 1. 1.98 11.82 0. 8.78 0. 0.
time (sec) N/A 0.03 0.124 0.211 0. 3.39 0. 0.
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 131 975 0 285 0 0
normalized size 1 1. 1.39 10.37 0. 3.03 0. 0.
time (sec) N/A 0.189 0.513 0.412 0. 4.15 0. 0.
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 36 61 85 101 0 0
normalized size 1 1. 0.92 1.56 2.18 2.59 0. 0.
time (sec) N/A 0.149 0.078 0.457 0.975 3.441 0. 0.
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 255 1615 0 799 0 231
normalized size 1 1. 3.49 22.12 0. 10.95 0. 3.16
time (sec) N/A 1.23 2.619 0.276 0. 4.455 0. 1.351
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 116 117 63 252 0 0
normalized size 1 1. 2.04 2.05 1.11 4.42 0. 0.
time (sec) N/A 0.849 1.815 0.337 1.428 3.266 0. 0.
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 49 61 0 157 0 70
normalized size 1 1. 0.74 0.92 0. 2.38 0. 1.06
time (sec) N/A 0.071 0.225 0.025 0. 3.067 0. 1.087
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 71 41 0 227 46 49
normalized size 1 1. 1.31 0.76 0. 4.2 0.85 0.91
time (sec) N/A 0.06 0.681 0.02 0. 3.071 5.403 1.074
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 105 0 0 0 0 251
normalized size 1 1. 0.79 0. 0. 0. 0. 1.89
time (sec) N/A 0.156 0.22 0.106 0. 0. 0. 1.233
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 42 0 0 360 0 107
normalized size 1 1. 0.61 0. 0. 5.22 0. 1.55
time (sec) N/A 0.087 0.139 0.05 0. 11.591 0. 1.104
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 256 0 96 0 0 0
normalized size 1 1. 4.92 0. 1.85 0. 0. 0.
time (sec) N/A 0.089 0.407 0.112 1.422 0. 0. 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 245 0 100 0 0 0
normalized size 1 1. 4.54 0. 1.85 0. 0. 0.
time (sec) N/A 0.087 0.445 0.103 1.421 0. 0. 0.
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 133 174 4397 0 0 0 0 0
normalized size 1 1.31 33.06 0. 0. 0. 0. 0.
time (sec) N/A 5.11 56.154 180. 0. 0. 0. 0.
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 208 168 559 0 784 0 265
normalized size 1 2.08 1.68 5.59 0. 7.84 0. 2.65
time (sec) N/A 1.226 4.594 0.482 0. 3.3 0. 1.344
Problem 448 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 112 112 47 137 184 450 0 0
normalized size 1 1. 0.42 1.22 1.64 4.02 0. 0.
time (sec) N/A 0.169 0.042 0.027 1.427 2.951 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 162 154 0 196 0 0 197
normalized size 1 1.71 1.62 0. 2.06 0. 0. 2.07
time (sec) N/A 0.26 0.131 0.11 1.417 0. 0. 1.149
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 30 0 50 158 0 50
normalized size 1 1. 0.61 0. 1.02 3.22 0. 1.02
time (sec) N/A 0.108 0.462 0.61 0.93 3.061 0. 1.086
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 42 26 116 111 0 34
normalized size 1 1. 2.1 1.3 5.8 5.55 0. 1.7
time (sec) N/A 0.225 0.2 0.031 1.17 2.299 0. 1.127
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 35 58 0 0 281 0 55
normalized size 1 1.3 2.15 0. 0. 10.41 0. 2.04
time (sec) N/A 0.967 4.103 0.485 0. 16.919 0. 1.137
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 126 89 0 135 0 0 0
normalized size 1 1.25 0.88 0. 1.34 0. 0. 0.
time (sec) N/A 1.405 0.41 0.742 1.475 0. 0. 0.
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 140 0 0 84 0 34
normalized size 1 1. 5.6 0. 0. 3.36 0. 1.36
time (sec) N/A 0.061 0.304 0.17 0. 2.429 0. 1.185
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 154 153 0 0 0 0 0
normalized size 1 1.51 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.117 0.295 0. 0. 0. 0.
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 18 45 88 350 150 0 115
normalized size 1 1.06 2.65 5.18 20.59 8.82 0. 6.76
time (sec) N/A 0.019 0.069 0.144 1.487 2.875 0. 1.218
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 52 242 0 328 0 188
normalized size 1 1. 1.62 7.56 0. 10.25 0. 5.88
time (sec) N/A 0.039 0.067 0.327 0. 2.67 0. 1.231
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 31 31 31 24 36 84 24 43
normalized size 1 1. 1. 0.77 1.16 2.71 0.77 1.39
time (sec) N/A 0.015 0.004 0.006 0.932 2.292 0.112 1.15
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 29 41 100 34 41
normalized size 1 1. 1. 0.74 1.05 2.56 0.87 1.05
time (sec) N/A 0.014 0.014 0.006 1.443 2.089 0.125 1.115
Problem 460 Optimal Rubi Mathematica Maple 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 40 60 62 201 41 57
normalized size 1 1. 0.69 1.03 1.07 3.47 0.71 0.98
time (sec) N/A 0.032 0.016 0.012 0.925 2.002 0.146 1.138
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 30 37 45 180 986 47
normalized size 1 1. 0.58 0.71 0.87 3.46 18.96 0.9
time (sec) N/A 0.023 0.006 0.005 1.405 2.063 5.233 1.077
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 47 46 57 158 167 62
normalized size 1 1. 0.77 0.75 0.93 2.59 2.74 1.02
time (sec) N/A 0.032 0.018 0.005 1.456 2.056 9.045 1.067
Problem 463 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 15 15 0 36 19 19
normalized size 1 1. 0.94 0.94 0. 2.25 1.19 1.19
time (sec) N/A 0.003 0.002 0.002 0. 2.083 0.055 1.075
Problem 464 Optimal Rubi Mathematica Maple 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 36 33 47 130 32 49
normalized size 1 1. 0.78 0.72 1.02 2.83 0.7 1.07
time (sec) N/A 0.024 0.013 0.009 0.947 1.865 0.112 1.053
Problem 465 Optimal Rubi Mathematica Maple 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 23 58 49 85 34 28
normalized size 1 1. 0.57 1.45 1.22 2.12 0.85 0.7
time (sec) N/A 0.035 0.008 0.01 0.934 1.946 0.129 1.053
Problem 466 Optimal Rubi Mathematica Maple 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 17 26 62 41 26
normalized size 1 1. 0.74 0.63 0.96 2.3 1.52 0.96
time (sec) N/A 0.011 0.006 0.004 0.945 1.955 18.786 1.079
Problem 467 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 38 38 25 28 38 89 82 35
normalized size 1 1. 0.66 0.74 1. 2.34 2.16 0.92
time (sec) N/A 0.015 0.009 0.004 0.976 2.029 6.208 1.064
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 23 20 34 74 61 26
normalized size 1 1. 0.7 0.61 1.03 2.24 1.85 0.79
time (sec) N/A 0.004 0.005 0.001 0.937 2.074 6.525 1.074
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 26 23 69 147 0 28
normalized size 1 1. 0.6 0.53 1.6 3.42 0. 0.65
time (sec) N/A 0.006 0.014 0.003 0.934 2.111 0. 1.063
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 28 23 47 95 151 84
normalized size 1 1. 0.6 0.49 1. 2.02 3.21 1.79
time (sec) N/A 0.009 0.005 0.002 1.405 2.048 4.752 1.078
Problem 471 Optimal Rubi Mathematica Maple 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 19 16 22 43 24 22
normalized size 1 1. 0.68 0.57 0.79 1.54 0.86 0.79
time (sec) N/A 0.006 0.005 0.005 0.932 2.06 8.785 1.068
Problem 472 Optimal Rubi Mathematica Maple 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 49 47 72 189 49 78
normalized size 1 1. 0.94 0.9 1.38 3.63 0.94 1.5
time (sec) N/A 0.028 0.026 0.011 0.942 2.262 0.166 1.075
Problem 473 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 25 25 25 22 0 61 0 0
normalized size 1 1. 1. 0.88 0. 2.44 0. 0.
time (sec) N/A 0.057 0.009 0.004 0. 4.553 0. 0.
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 35 28 107 196 0 132
normalized size 1 1. 0.7 0.56 2.14 3.92 0. 2.64
time (sec) N/A 0.015 0.023 0.032 1.418 2.202 0. 1.166
Problem 475 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 24 24 24 22 28 90 49 39
normalized size 1 1. 1. 0.92 1.17 3.75 2.04 1.62
time (sec) N/A 0.005 0.016 0.005 1.404 2.149 0.516 1.09
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 24 58 61 109 32 104
normalized size 1 1. 0.6 1.45 1.52 2.72 0.8 2.6
time (sec) N/A 0.009 0.003 0.005 1.43 2.017 2.569 1.088
Problem 477 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 49 49 28 25 50 105 291 47
normalized size 1 1. 0.57 0.51 1.02 2.14 5.94 0.96
time (sec) N/A 0.007 0.008 0.002 0.925 2.108 85.665 1.084
Problem 478 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 47 47 29 28 80 120 0 47
normalized size 1 1. 0.62 0.6 1.7 2.55 0. 1.
time (sec) N/A 0.007 0.011 0.003 0.933 2.115 0. 1.083
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 33 43 77 34 43
normalized size 1 1. 1. 0.92 1.19 2.14 0.94 1.19
time (sec) N/A 0.012 0.001 0.001 0.946 1.825 0.055 1.063
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 39 39 39 30 39 74 34 39
normalized size 1 1. 1. 0.77 1. 1.9 0.87 1.
time (sec) N/A 0.014 0.001 0.001 0.93 1.751 0.057 1.063
Problem 481 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 47 47 33 30 80 180 0 36
normalized size 1 1. 0.7 0.64 1.7 3.83 0. 0.77
time (sec) N/A 0.009 0.047 0.003 0.938 2.012 0. 1.088
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 33 30 103 194 0 55
normalized size 1 1. 0.73 0.67 2.29 4.31 0. 1.22
time (sec) N/A 0.022 0.112 0.005 0.956 2.028 0. 1.097
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 67 70 74 190 112 74
normalized size 1 1. 0.81 0.84 0.89 2.29 1.35 0.89
time (sec) N/A 0.094 0.054 0.012 0.961 2.311 3.469 1.079
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 57 66 146 92 66
normalized size 1 1. 0.7 0.78 0.9 2. 1.26 0.9
time (sec) N/A 0.084 0.096 0.023 0.977 2.249 1.953 1.071
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 70 96 89 240 192 89
normalized size 1 1. 0.67 0.91 0.85 2.29 1.83 0.85
time (sec) N/A 0.11 0.086 0.03 0.943 2.315 5.743 1.062
Problem 486 Optimal Rubi Mathematica Maple 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 39 32 47 111 53 47
normalized size 1 1. 0.89 0.73 1.07 2.52 1.2 1.07
time (sec) N/A 0.042 0.122 0.004 0.957 2.251 1.21 1.082
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 125 0 138 507 278
normalized size 1 1. 1. 3.79 0. 4.18 15.36 8.42
time (sec) N/A 0.054 0.029 0.193 0. 2.025 2.542 1.126
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 104 30 836 154 551 460
normalized size 1 1. 3.47 1. 27.87 5.13 18.37 15.33
time (sec) N/A 0.041 0.113 0.122 1.512 1.915 1.816 1.529
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 13 178 47 128 72
normalized size 1 1. 1. 0.81 11.12 2.94 8. 4.5
time (sec) N/A 0.018 0.016 0.005 0.945 1.797 1.053 1.078
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 57 57 89 432 0 0
normalized size 1 1. 0.92 0.92 1.44 6.97 0. 0.
time (sec) N/A 0.072 0.015 0.06 1.446 2.075 0. 0.
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 59 288 473 0 0
normalized size 1 1. 0.92 1. 4.88 8.02 0. 0.
time (sec) N/A 0.061 0.013 0.197 1.56 2.119 0. 0.
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 14 44 105 42 0 14
normalized size 1 1. 1.17 3.67 8.75 3.5 0. 1.17
time (sec) N/A 0.099 0.214 0.711 1.353 1.951 0. 1.067
Problem 493 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 20 20 19 37 93 55 66 53
normalized size 1 1. 0.95 1.85 4.65 2.75 3.3 2.65
time (sec) N/A 0.034 0.208 0.214 0.955 1.821 2.356 1.067
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 23 0 53 42 439
normalized size 1 1. 1. 1.05 0. 2.41 1.91 19.95
time (sec) N/A 0.026 0.014 0.004 0. 1.915 0.655 1.149
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-2) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 41 46 65 0 113 0 589
normalized size 1 1.21 1.35 1.91 0. 3.32 0. 17.32
time (sec) N/A 0.208 0.05 0.017 0. 1.829 0. 1.309
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 8 9 30 7 9
normalized size 1 1. 1. 0.89 1. 3.33 0.78 1.
time (sec) N/A 0.003 0.003 0.002 0.927 1.688 0.083 1.086
Problem 497 Optimal Rubi Mathematica Maple 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 19 22 58 17 32
normalized size 1 1. 1. 0.86 1. 2.64 0.77 1.45
time (sec) N/A 0.018 0.006 0.006 0.926 1.868 0.101 1.058
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 31 31 30 24 31 70 24 34
normalized size 1 1. 0.97 0.77 1. 2.26 0.77 1.1
time (sec) N/A 0.019 0.013 0.005 0.923 1.731 0.126 1.065
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 34 31 38 90 31 49
normalized size 1 1. 0.94 0.86 1.06 2.5 0.86 1.36
time (sec) N/A 0.026 0.021 0.007 0.929 1.804 0.137 1.064
Problem 500 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 48 52 45 0 0 0 0 0
normalized size 1 1.08 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.012 0.127 0. 0. 0. 0.
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 33 56 55 103 54 62
normalized size 1 1. 0.77 1.3 1.28 2.4 1.26 1.44
time (sec) N/A 0.027 0.032 0.019 0.925 1.917 0.218 1.062
Problem 502 Optimal Rubi Mathematica Maple 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 28 36 51 29 36
normalized size 1 1. 1. 1.04 1.33 1.89 1.07 1.33
time (sec) N/A 0.011 0.006 0.003 0.948 1.77 0.286 1.065
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 59 69 138 250 933
normalized size 1 1. 1. 1.11 1.3 2.6 4.72 17.6
time (sec) N/A 0.078 0.042 0.019 0.922 1.92 2.047 1.157
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 65 90 104 278 665 1395
normalized size 1 1. 0.82 1.14 1.32 3.52 8.42 17.66
time (sec) N/A 0.1 0.088 0.03 0.942 1.788 30.886 1.206
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 80 109 134 448 0 1835
normalized size 1 1. 0.82 1.11 1.37 4.57 0. 18.72
time (sec) N/A 0.125 0.091 0.016 0.932 1.907 0. 1.247
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 72 80 73 0 0 0 0 0
normalized size 1 1.11 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.029 0.05 0. 0. 0. 0.
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 28 28 28 29 38 53 29 38
normalized size 1 1. 1. 1.04 1.36 1.89 1.04 1.36
time (sec) N/A 0.008 0.006 0.001 0.934 1.873 0.287 1.125
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 59 69 139 248 933
normalized size 1 1. 1. 1.11 1.3 2.62 4.68 17.6
time (sec) N/A 0.071 0.034 0.012 0.927 1.862 2.033 1.21
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 66 90 104 278 663 1395
normalized size 1 1. 0.84 1.14 1.32 3.52 8.39 17.66
time (sec) N/A 0.083 0.068 0.026 0.937 1.882 31.378 1.248
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 80 109 134 450 0 1835
normalized size 1 1. 0.82 1.11 1.37 4.59 0. 18.72
time (sec) N/A 0.098 0.07 0.015 0.932 1.941 0. 1.357
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 74 82 75 0 0 0 0 0
normalized size 1 1.11 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.026 0.048 0. 0. 0. 0.
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 47 15 20
normalized size 1 1. 1. 1.07 1.33 3.13 1. 1.33
time (sec) N/A 0.006 0.004 0. 0.924 1.827 0.088 1.124
Problem 513 Optimal Rubi Mathematica Maple 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 31 46 42 74 46 41
normalized size 1 1. 0.94 1.39 1.27 2.24 1.39 1.24
time (sec) N/A 0.013 0.01 0.008 0.928 1.814 0.111 1.087
Problem 514 Optimal Rubi Mathematica Maple 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 35 62 62 97 71 54
normalized size 1 1. 0.7 1.24 1.24 1.94 1.42 1.08
time (sec) N/A 0.016 0.026 0.002 0.935 1.808 0.134 1.09
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 49 78 82 122 88 65
normalized size 1 1. 0.75 1.2 1.26 1.88 1.35 1.
time (sec) N/A 0.019 0.02 0.002 0.922 1.673 0.156 1.137
Problem 516 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 40 40 40 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 0.014 0.029 0. 0. 0. 0.
Problem 517 Optimal Rubi Mathematica Maple 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 47 19 22
normalized size 1 1. 1. 1.06 1.38 2.94 1.19 1.38
time (sec) N/A 0.005 0.004 0.001 0.927 1.838 0.091 1.161
Problem 518 Optimal Rubi Mathematica Maple 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 25 46 42 74 46 41
normalized size 1 1. 0.76 1.39 1.27 2.24 1.39 1.24
time (sec) N/A 0.013 0.015 0.002 0.931 1.66 0.11 1.073
Problem 519 Optimal Rubi Mathematica Maple 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 35 62 62 97 71 54
normalized size 1 1. 0.7 1.24 1.24 1.94 1.42 1.08
time (sec) N/A 0.017 0.026 0.002 0.93 1.936 0.137 1.081
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 49 78 82 122 88 65
normalized size 1 1. 0.75 1.2 1.26 1.88 1.35 1.
time (sec) N/A 0.019 0.016 0.002 0.93 1.844 0.155 1.108
Problem 521 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 44 44 44 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.014 0.032 0. 0. 0. 0.
Problem 522 Optimal Rubi Mathematica Maple 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 31 31 46 15 32
normalized size 1 1. 1. 1.29 1.29 1.92 0.62 1.33
time (sec) N/A 0.016 0.006 0.007 0.935 1.842 0.112 1.095
Problem 523 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 100 123 97 95 0 795 22 157
normalized size 1 1.23 0.97 0.95 0. 7.95 0.22 1.57
time (sec) N/A 0.094 0.055 0.007 0. 1.874 0.16 1.127
Problem 524 Optimal Rubi Mathematica Maple 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 14 15 28 8 15
normalized size 1 1. 1. 1.17 1.25 2.33 0.67 1.25
time (sec) N/A 0.022 0.008 0.005 0.927 1.87 0.078 1.12
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 44 38 50 127 22 50
normalized size 1 1. 0.94 0.81 1.06 2.7 0.47 1.06
time (sec) N/A 0.059 0.021 0.007 1.413 1.789 0.134 1.134
Problem 526 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 39 39 51 29 38 97 48 39
normalized size 1 1. 1.31 0.74 0.97 2.49 1.23 1.
time (sec) N/A 0.062 0.042 0.012 1.413 1.949 0.187 1.131
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 33 0 80 94 43
normalized size 1 1. 1. 1.1 0. 2.67 3.13 1.43
time (sec) N/A 0.038 0.038 0.003 0. 1.811 1.207 1.169
Problem 528 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 54 54 54 57 76 192 0 77
normalized size 1 1. 1. 1.06 1.41 3.56 0. 1.43
time (sec) N/A 0.022 0.014 0.006 1.424 1.695 0. 1.146
Problem 529 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 59 59 59 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.021 0.027 0. 0. 0. 0.
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 18 18 18 15 12 45 31 24
normalized size 1 1. 1. 0.83 0.67 2.5 1.72 1.33
time (sec) N/A 0.028 0.005 0.01 0.93 1.885 0.63 1.134
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 27 46 31 27
normalized size 1 1. 1. 0.85 1.35 2.3 1.55 1.35
time (sec) N/A 0.029 0.005 0.009 0.932 1.886 0.648 1.143
Problem 532 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 40 40 40 0 53 154 0 65
normalized size 1 1. 1. 0. 1.32 3.85 0. 1.62
time (sec) N/A 0.103 0.02 0.019 1.416 1.953 0. 1.201
Problem 533 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 37 57 54 0 0 0 0 0
normalized size 1 1.54 1.46 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.016 0.021 0. 0. 0. 0.
Problem 534 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 73 73 44 37 66 101 0 88
normalized size 1 1. 0.6 0.51 0.9 1.38 0. 1.21
time (sec) N/A 0.047 0.02 0.019 0.932 1.836 0. 1.148
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 44 44 23 22 26 55 20 26
normalized size 1 1. 0.52 0.5 0.59 1.25 0.45 0.59
time (sec) N/A 0.032 0.007 0.002 0.938 1.753 0.085 1.089
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 26 31 9 66 32 36
normalized size 1 1. 0.67 0.79 0.23 1.69 0.82 0.92
time (sec) N/A 0.033 0.022 0.001 1.025 1.779 1.442 1.111
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 29 28 36 77 39 1115
normalized size 1 1. 0.66 0.64 0.82 1.75 0.89 25.34
time (sec) N/A 0.022 0.01 0.006 0.942 1.901 0.108 1.183
Problem 538 Optimal Rubi Mathematica Maple 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 24 23 8 24
normalized size 1 1. 1. 0.83 2. 1.92 0.67 2.
time (sec) N/A 0.049 0.005 0.002 0.928 1.783 0.086 1.135
Problem 539 Optimal Rubi Mathematica Maple 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 26 34 89 24 54
normalized size 1 1. 0.97 0.81 1.06 2.78 0.75 1.69
time (sec) N/A 0.055 0.035 0.01 1.435 1.801 0.098 1.154
Problem 540 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 20 28 27 0 0
normalized size 1 1. 1. 1.33 1.87 1.8 0. 0.
time (sec) N/A 0.057 0.026 0.005 1.092 2.077 0. 0.
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 22 26 68 26 26
normalized size 1 1. 0.81 0.81 0.96 2.52 0.96 0.96
time (sec) N/A 0.011 0.026 0.007 0.947 2.195 0.478 1.109
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 26 22 53 80 29 53
normalized size 1 1. 0.74 0.63 1.51 2.29 0.83 1.51
time (sec) N/A 0.111 0.059 0.014 0.93 2.175 0.829 1.083
Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 37 55 42 0 70 53
normalized size 1 1. 0.65 0.96 0.74 0. 1.23 0.93
time (sec) N/A 0.028 0.066 0.05 1.418 0. 3.063 1.14
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 39 45 61 95 265 58
normalized size 1 1. 0.72 0.83 1.13 1.76 4.91 1.07
time (sec) N/A 0.023 0.035 0.02 0.943 2.086 3.428 1.095
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 64 68 99 165 644 85
normalized size 1 1. 0.78 0.83 1.21 2.01 7.85 1.04
time (sec) N/A 0.035 0.167 0.023 0.976 1.894 14.677 1.109
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 36 38 36 138 76 45
normalized size 1 1. 0.46 0.48 0.46 1.75 0.96 0.57
time (sec) N/A 0.045 0.038 0.039 0.951 1.902 2.645 1.111
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 21 28 36 120 70 32
normalized size 1 1. 0.58 0.78 1. 3.33 1.94 0.89
time (sec) N/A 0.044 0.032 0.007 0.961 1.866 5.18 1.128
Problem 548 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 36 36 21 63 36 147 99 32
normalized size 1 1. 0.58 1.75 1. 4.08 2.75 0.89
time (sec) N/A 0.043 0.038 0.017 0.947 1.919 5.62 1.127
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 85 97 0 0 0 0 0
normalized size 1 1.47 1.67 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.237 0.058 0. 0. 0. 0.
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 90 0 0 0 0 0
normalized size 1 1. 2. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.174 0.083 0. 0. 0. 0.
Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 77 66 0 0 0 0 0
normalized size 1 1.51 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.047 0.113 0. 0. 0. 0.
Problem 552 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 28 28 28 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.01 0.028 0. 0. 0. 0.
Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 84 0 0 0 0 0
normalized size 1 1. 3.23 0. 0. 0. 0. 0.
time (sec) N/A 0.032 0.073 0.035 0. 0. 0. 0.
Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 61 0 0 0 0 0
normalized size 1 1. 2.03 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.572 0.044 0. 0. 0. 0.
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 61 0 0 0 0 0
normalized size 1 1. 2.03 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.623 0.054 0. 0. 0. 0.
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 11 33 30 35 0 14
normalized size 1 1. 0.73 2.2 2. 2.33 0. 0.93
time (sec) N/A 0.03 0.218 0.047 1.27 2.17 0. 1.141
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 45 100 0 0 0 0 0
normalized size 1 1.1 2.44 0. 0. 0. 0. 0.
time (sec) N/A 0.113 0.209 0.064 0. 0. 0. 0.
Problem 558 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 12 12 10 8 30 34 0 9
normalized size 1 1. 0.83 0.67 2.5 2.83 0. 0.75
time (sec) N/A 0.028 0.18 0.034 1.21 1.951 0. 1.151
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 44 87 0 0 0 0 0
normalized size 1 1.05 2.07 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.213 0.063 0. 0. 0. 0.
Problem 560 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 46 48 72 0 0 0 0 0
normalized size 1 1.04 1.57 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.701 0.079 0. 0. 0. 0.
Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 23 53 30 74 0 27
normalized size 1 1. 1.64 3.79 2.14 5.29 0. 1.93
time (sec) N/A 0.024 0.075 0.069 1.215 1.819 0. 1.142
Problem 562 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 43 47 73 0 0 0 0 0
normalized size 1 1.09 1.7 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.186 0.069 0. 0. 0. 0.
Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 23 51 30 76 0 28
normalized size 1 1. 1.77 3.92 2.31 5.85 0. 2.15
time (sec) N/A 0.023 0.063 0.056 1.22 1.851 0. 1.106
Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 18 20 23 58 27 20
normalized size 1 1. 0.6 0.67 0.77 1.93 0.9 0.67
time (sec) N/A 0.039 0.026 0.004 0.94 1.923 0.793 1.116
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 25 27 35 81 48 34
normalized size 1 1. 0.5 0.54 0.7 1.62 0.96 0.68
time (sec) N/A 0.108 0.036 0.003 0.979 1.741 2.104 1.09
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 38 36 45 120 80 45
normalized size 1 1. 0.51 0.48 0.6 1.6 1.07 0.6
time (sec) N/A 0.14 0.035 0.006 0.969 1.905 2.228 1.154
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 253 72 78 104 279 202 99
normalized size 1 1.35 0.39 0.42 0.56 1.49 1.08 0.53
time (sec) N/A 0.478 0.149 0.039 0.99 2.019 12.812 1.087
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 40 40 55 123 85 53
normalized size 1 1. 0.46 0.46 0.63 1.41 0.98 0.61
time (sec) N/A 0.157 0.078 0.004 0.956 1.758 2.207 1.122
Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 76 78 104 282 202 99
normalized size 1 1. 0.41 0.42 0.56 1.52 1.09 0.54
time (sec) N/A 0.356 0.211 0.024 0.985 2.259 12.776 1.147
Problem 570 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 2 2 2 3 3 12 2 15
normalized size 1 1. 1. 1.5 1.5 6. 1. 7.5
time (sec) N/A 0.003 0.002 0. 0.933 2.058 0.111 1.127
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 2 2 2 3 3 12 2 15
normalized size 1 1. 1. 1.5 1.5 6. 1. 7.5
time (sec) N/A 0.003 0.001 0.002 0.927 1.992 0.111 1.101
Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 55 7 15
normalized size 1 1. 1. 1.33 1.33 18.33 2.33 5.
time (sec) N/A 0.003 0.002 0.001 0.925 2.085 0.119 1.137
Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 4 55 12 16
normalized size 1 1. 1. 1.33 1.33 18.33 4. 5.33
time (sec) N/A 0.004 0.004 0.001 0.923 2.166 0.29 1.084
Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 9 4 4 39 0 7
normalized size 1 1. 3. 1.33 1.33 13. 0. 2.33
time (sec) N/A 0.003 0.004 0. 0.928 2.082 0. 1.09
Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 7 6 7 78 0 19
normalized size 1 1. 1.4 1.2 1.4 15.6 0. 3.8
time (sec) N/A 0.004 0.004 0.001 0.936 2.123 0. 1.133
Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 11 22 39 24 32
normalized size 1 1. 1. 0.79 1.57 2.79 1.71 2.29
time (sec) N/A 0.007 0.002 0.006 0.926 2.032 0.184 1.099
Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 23 18 47 155 29 50
normalized size 1 1. 1.21 0.95 2.47 8.16 1.53 2.63
time (sec) N/A 0.011 0.002 0.033 0.932 2.102 1.122 1.107
Problem 578 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 14 14 18 26 51 221 10 35
normalized size 1 1. 1.29 1.86 3.64 15.79 0.71 2.5
time (sec) N/A 0.011 0.003 0.002 0.948 2.102 0.216 1.132
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 36 11 61 737 0 61
normalized size 1 1. 2.25 0.69 3.81 46.06 0. 3.81
time (sec) N/A 0.012 0.004 0.036 0.938 2.113 0. 1.091
Problem 580 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 26 26 30 21 82 1547 422 81
normalized size 1 1. 1.15 0.81 3.15 59.5 16.23 3.12
time (sec) N/A 0.017 0.004 0.035 1.415 2.093 3.983 1.161
Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 17 47 863 0 58
normalized size 1 1. 1. 0.94 2.61 47.94 0. 3.22
time (sec) N/A 0.023 0.006 0.013 1.408 2.151 0. 1.127
Problem 582 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 31 31 27 0 0 1253 0 0
normalized size 1 1. 0.87 0. 0. 40.42 0. 0.
time (sec) N/A 0.031 0.053 0.046 0. 2.12 0. 0.
Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 42 41 36 0 460 126 43
normalized size 1 1.02 1. 0.88 0. 11.22 3.07 1.05
time (sec) N/A 0.049 0.032 0.01 0. 2.105 10.628 1.169
Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 16 16 66 211 14 19
normalized size 1 1. 0.64 0.64 2.64 8.44 0.56 0.76
time (sec) N/A 0.017 0.011 0.005 0.939 2.001 0.41 1.127
Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 29 55 55 108 146 58
normalized size 1 1. 0.74 1.41 1.41 2.77 3.74 1.49
time (sec) N/A 0.05 0.057 0.018 0.942 2.233 0.662 1.126
Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 98 0 743 0 107
normalized size 1 1. 1. 3.16 0. 23.97 0. 3.45
time (sec) N/A 0.035 0.064 0.047 0. 2.148 0. 1.105
Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 74 0 945 0 68
normalized size 1 1. 1. 2.11 0. 27. 0. 1.94
time (sec) N/A 0.037 0.045 0.024 0. 2.25 0. 1.125
Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 24 55 93 382 0 65
normalized size 1 1. 0.96 2.2 3.72 15.28 0. 2.6
time (sec) N/A 0.017 0.094 0.021 1.441 2.157 0. 1.166
Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 37 78 95 265 102 30
normalized size 1 1. 1.12 2.36 2.88 8.03 3.09 0.91
time (sec) N/A 0.136 0.129 0.084 1.462 2.227 1.991 1.088
Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 23 57 166 116 65
normalized size 1 1. 1. 0.77 1.9 5.53 3.87 2.17
time (sec) N/A 0.035 0.01 0.039 0.951 2.085 13.005 1.092
Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 23 57 362 138 65
normalized size 1 1. 1. 0.77 1.9 12.07 4.6 2.17
time (sec) N/A 0.034 0.01 0.099 0.952 2.207 12.004 1.085
Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 69 102 392 609 0 1337 0 0
normalized size 1 1.48 5.68 8.83 0. 19.38 0. 0.
time (sec) N/A 0.973 29.616 0.217 0. 2.476 0. 0.
Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 26 30 169 1585 0 54
normalized size 1 1. 0.7 0.81 4.57 42.84 0. 1.46
time (sec) N/A 0.045 0.071 0.012 1.035 2.059 0. 1.141
Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 21 28 239 548 0 0
normalized size 1 1. 0.72 0.97 8.24 18.9 0. 0.
time (sec) N/A 0.108 0.054 0.044 1.65 2.161 0. 0.
Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 63 0 1636 0 0
normalized size 1 1. 1. 4.2 0. 109.07 0. 0.
time (sec) N/A 0.019 0.011 0.048 0. 2.308 0. 0.
Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 28 66 305 17 69
normalized size 1 1. 1. 1.75 4.12 19.06 1.06 4.31
time (sec) N/A 0.019 0.021 0.013 1.561 2.188 0.171 1.168
Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 28 72 305 22 72
normalized size 1 1. 1. 1.75 4.5 19.06 1.38 4.5
time (sec) N/A 0.021 0.019 0.013 1.106 2.242 0.907 1.146
Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 23 38 18 74 26 15
normalized size 1 1. 1.15 1.9 0.9 3.7 1.3 0.75
time (sec) N/A 0.067 0.091 0.101 0.972 2.023 0.344 1.1
Problem 599 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 15 15 20 16 47 74 12 19
normalized size 1 1. 1.33 1.07 3.13 4.93 0.8 1.27
time (sec) N/A 0.13 0.075 0.024 0.963 2.123 0.429 1.109
Problem 600 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 20 20 20 20 30 254 0 32
normalized size 1 1. 1. 1. 1.5 12.7 0. 1.6
time (sec) N/A 0.018 0.015 0.079 0.939 2.142 0. 1.149
Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 52 101 338 0 14
normalized size 1 1. 1. 4. 7.77 26. 0. 1.08
time (sec) N/A 0.017 0.01 0.043 0.976 2.111 0. 1.083
Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 14 8 61 12 8
normalized size 1 1. 1. 1.56 0.89 6.78 1.33 0.89
time (sec) N/A 0.017 0.003 0.002 0.944 2.028 0.38 1.096
Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 19 18 18 0 82 32 22
normalized size 1 1.46 1.38 1.38 0. 6.31 2.46 1.69
time (sec) N/A 0.029 0.03 0.002 0. 2.115 0.547 1.11
Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1 1 1 2 1 4 10 1
normalized size 1 1. 1. 2. 1. 4. 10. 1.
time (sec) N/A 0.015 0.001 0.018 0.936 1.91 0.353 1.083
Problem 605 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 22 22 36 24 22 115 0 23
normalized size 1 1. 1.64 1.09 1. 5.23 0. 1.05
time (sec) N/A 0.024 0.032 0.01 0.949 1.989 0. 1.111
Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 18 18 15 69 0 15
normalized size 1 1. 1.38 1.38 1.15 5.31 0. 1.15
time (sec) N/A 0.031 0.026 0.012 0.981 2.036 0. 1.123
Problem 607 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 15 15 20 18 15 70 0 15
normalized size 1 1. 1.33 1.2 1. 4.67 0. 1.
time (sec) N/A 0.033 0.029 0.017 0.973 1.988 0. 1.092
Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 19 34 0 59 0 0
normalized size 1 1. 0.73 1.31 0. 2.27 0. 0.
time (sec) N/A 0.01 0.008 0.007 0. 2.086 0. 0.
Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 30 61 0 115 0 113
normalized size 1 1. 0.71 1.45 0. 2.74 0. 2.69
time (sec) N/A 0.024 0.01 0.008 0. 2.134 0. 1.098
Problem 610 Optimal Rubi Mathematica Maple 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 21 23 30 59 34 30
normalized size 1 1. 0.62 0.68 0.88 1.74 1. 0.88
time (sec) N/A 0.02 0.007 0.016 0.955 2.158 6.137 1.167
Problem 611 Optimal Rubi Mathematica Maple 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 29 28 25 34 63 22 32
normalized size 1 1.04 1. 0.89 1.21 2.25 0.79 1.14
time (sec) N/A 0.011 0.002 0.002 0.99 2.042 0.102 1.097
Problem 612 Optimal Rubi Mathematica Maple 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 81 72 93 157 71 96
normalized size 1 1. 1.21 1.07 1.39 2.34 1.06 1.43
time (sec) N/A 0.033 0.022 0.001 0.938 2.046 0.133 1.142
Problem 613 Optimal Rubi Mathematica Maple 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 49 69 26 31
normalized size 1 1. 1. 1.04 2.13 3. 1.13 1.35
time (sec) N/A 0.014 0.002 0.002 0.946 2.115 0.102 1.135
Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 73 60 53 89 144 51 70
normalized size 1 1.22 1. 0.88 1.48 2.4 0.85 1.17
time (sec) N/A 0.091 0.004 0.002 0.957 2.064 0.13 1.132
Problem 615 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 43 43 43 37 11 115 32 0
normalized size 1 1. 1. 0.86 0.26 2.67 0.74 0.
time (sec) N/A 0.059 0.016 0.005 1.054 2.046 0.676 0.
Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 30 32 34 0 151 0
normalized size 1 1. 1.03 1.1 1.17 0. 5.21 0.
time (sec) N/A 0.02 0.002 0.007 0.958 0. 7.306 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 29 29 27 30 51 77 24 49
normalized size 1 1. 0.93 1.03 1.76 2.66 0.83 1.69
time (sec) N/A 0.013 0.016 0.005 0.932 2.224 0.358 1.096
Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 13 0 34 15 16
normalized size 1 1. 1. 1.08 0. 2.83 1.25 1.33
time (sec) N/A 0.017 0.003 0.002 0. 2.408 0.865 1.133
Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 20 0 58 36 26
normalized size 1 1. 1. 1.05 0. 3.05 1.89 1.37
time (sec) N/A 0.028 0.012 0.001 0. 2.361 1.259 1.146
Problem 620 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 11 11 11 12 15 28 8 41
normalized size 1 1. 1. 1.09 1.36 2.55 0.73 3.73
time (sec) N/A 0.024 0.015 0.001 0.934 2.396 0.113 1.086
Problem 621 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 23 23 23 24 0 62 71 30
normalized size 1 1. 1. 1.04 0. 2.7 3.09 1.3
time (sec) N/A 0.032 0.012 0. 0. 2.449 37.215 1.097
Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 46 15 12 50 0 24
normalized size 1 1. 2.88 0.94 0.75 3.12 0. 1.5
time (sec) N/A 0.038 0.022 0.004 0.949 2.495 0. 1.119
Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 50 17 27 51 0 0
normalized size 1 1. 2.78 0.94 1.5 2.83 0. 0.
time (sec) N/A 0.042 0.024 0.007 0.935 2.415 0. 0.
Problem 624 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 17 12 63 0 14
normalized size 1 1. 1. 0.94 0.67 3.5 0. 0.78
time (sec) N/A 0.041 0.024 0.006 1.443 2.472 0. 1.385
Problem 625 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 22 22 22 37 0 117 0 0
normalized size 1 1. 1. 1.68 0. 5.32 0. 0.
time (sec) N/A 0.088 0.017 0.005 0. 2.398 0. 0.
Problem 626 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 24 24 24 39 0 58 0 0
normalized size 1 1. 1. 1.62 0. 2.42 0. 0.
time (sec) N/A 0.098 0.016 0.007 0. 2.372 0. 0.
Problem 627 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 23 23 23 43 0 65 0 28
normalized size 1 1. 1. 1.87 0. 2.83 0. 1.22
time (sec) N/A 0.099 0.016 0.005 0. 2.335 0. 1.065
Problem 628 Optimal Rubi Mathematica Maple 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 39 10 15
normalized size 1 1. 1. 1.09 1.36 3.55 0.91 1.36
time (sec) N/A 0.007 0.004 0.002 0.95 2.458 0.275 1.062
Problem 629 Optimal Rubi Mathematica Maple 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 20 76 24 27
normalized size 1 1. 1. 1.05 1. 3.8 1.2 1.35
time (sec) N/A 0.018 0.006 0.003 0.959 2.412 0.316 1.063
Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 30 30 109 36 39
normalized size 1 1. 1. 1.03 1.03 3.76 1.24 1.34
time (sec) N/A 0.022 0.009 0.002 1.044 2.328 0.356 1.062
Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 39 39 147 48 51
normalized size 1 1. 1. 1.03 1.03 3.87 1.26 1.34
time (sec) N/A 0.026 0.006 0.002 0.981 2.755 0.397 1.068
Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 0 39 51 24 0
normalized size 1 1. 1. 0. 1.62 2.12 1. 0.
time (sec) N/A 0.032 0.017 0.023 1.05 2.777 2.767 0.
Problem 633 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 4 4 4 5 5 24 0 7
normalized size 1 1. 1. 1.25 1.25 6. 0. 1.75
time (sec) N/A 0.02 0.011 0.008 0.937 2.38 0. 1.068
Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 10 12 32 7 12
normalized size 1 1. 1. 1.43 1.71 4.57 1. 1.71
time (sec) N/A 0.047 0.004 0.013 0.938 2.448 2.421 1.065
Problem 635 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 11 11 11 12 15 185 10 43
normalized size 1 1. 1. 1.09 1.36 16.82 0.91 3.91
time (sec) N/A 0.011 0.007 0.004 0.948 2.205 0.939 1.065
Problem 636 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 9 9 9 8 9 27 0 0
normalized size 1 1. 1. 0.89 1. 3. 0. 0.
time (sec) N/A 0.015 0.004 0.008 0.942 2.392 0. 0.
Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 23 0 57 20 30
normalized size 1 1. 1. 0.88 0. 2.19 0.77 1.15
time (sec) N/A 0.005 0.02 0.002 0. 2.365 9.296 1.059
Problem 638 Optimal Rubi Mathematica Maple 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 27 26 34 68 26 36
normalized size 1 1. 0.77 0.74 0.97 1.94 0.74 1.03
time (sec) N/A 0.015 0.01 0.011 0.944 2.371 0.128 1.058
Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 24 32 27 72 0 27
normalized size 1 1. 0.75 1. 0.84 2.25 0. 0.84
time (sec) N/A 0.054 0.031 0.016 0.952 2.393 0. 1.061
Problem 640 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 52 52 42 43 57 149 0 58
normalized size 1 1. 0.81 0.83 1.1 2.87 0. 1.12
time (sec) N/A 0.044 0.033 0.023 0.95 2.378 0. 1.071
Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 126 34 90 42 35
normalized size 1 1. 1. 4.2 1.13 3. 1.4 1.17
time (sec) N/A 0.035 0.008 0.035 0.959 2.619 5.091 1.073
Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 29 55 34 117 46 35
normalized size 1 1. 0.97 1.83 1.13 3.9 1.53 1.17
time (sec) N/A 0.058 0.071 0.153 0.944 2.613 160.155 1.066
Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 32 164 76 105 0 58
normalized size 1 1. 1.14 5.86 2.71 3.75 0. 2.07
time (sec) N/A 0.035 0.085 0.163 0.956 2.612 0. 1.087
Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 56 106 116 174 107 49
normalized size 1 1. 0.93 1.77 1.93 2.9 1.78 0.82
time (sec) N/A 0.132 0.148 0.086 1.432 2.491 11.404 1.214
Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 52 52 69 119 0 140
normalized size 1 1. 0.8 0.8 1.06 1.83 0. 2.15
time (sec) N/A 0.109 0.032 0.033 1.429 2.811 0. 1.116
Problem 646 Optimal Rubi Mathematica Maple 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 42 37 63 109 54 77
normalized size 1 1. 0.69 0.61 1.03 1.79 0.89 1.26
time (sec) N/A 0.094 0.022 0.023 1.441 2.442 0.597 1.076
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 53 53 37 42 59 115 44 55
normalized size 1 1. 0.7 0.79 1.11 2.17 0.83 1.04
time (sec) N/A 0.116 0.015 0.01 1.447 2.545 0.614 1.082
Problem 648 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 61 61 56 48 86 140 53 0
normalized size 1 1. 0.92 0.79 1.41 2.3 0.87 0.
time (sec) N/A 0.126 0.021 0.017 1.432 2.519 0.901 0.
Problem 649 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 63 63 42 56 128 115 0 0
normalized size 1 1. 0.67 0.89 2.03 1.83 0. 0.
time (sec) N/A 0.067 0.048 0.034 1.668 2.625 0. 0.
Problem 650 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 148 148 92 165 0 220 0 0
normalized size 1 1. 0.62 1.11 0. 1.49 0. 0.
time (sec) N/A 0.147 0.074 0.062 0. 2.703 0. 0.
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 34 34 30 31 41 81 48 36
normalized size 1 1. 0.88 0.91 1.21 2.38 1.41 1.06
time (sec) N/A 0.029 0.009 0.038 1.433 2.404 18.919 1.082
Problem 652 Optimal Rubi Mathematica Maple 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 30 33 41 81 48 36
normalized size 1 1. 0.88 0.97 1.21 2.38 1.41 1.06
time (sec) N/A 0.03 0.017 0.044 1.424 2.559 19.158 1.068
Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 26 134 30 78 37 30
normalized size 1 1. 0.87 4.47 1. 2.6 1.23 1.
time (sec) N/A 0.031 0.028 0.15 1.418 2.685 1.005 1.087
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 59 59 42 58 68 115 53 68
normalized size 1 1. 0.71 0.98 1.15 1.95 0.9 1.15
time (sec) N/A 0.05 0.034 0.038 1.401 2.562 2.118 1.098
Problem 655 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 37 37 35 37 36 105 63 46
normalized size 1 1. 0.95 1. 0.97 2.84 1.7 1.24
time (sec) N/A 0.037 0.018 0.037 1.426 2.588 3.544 1.084
Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 47 430 66 138 88 81
normalized size 1 1. 0.77 7.05 1.08 2.26 1.44 1.33
time (sec) N/A 0.075 0.057 0.28 1.409 2.459 153.986 1.074
Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 119 227 0 0 0 0
normalized size 1 1. 1.25 2.39 0. 0. 0. 0.
time (sec) N/A 0.158 0.256 0.191 0. 0. 0. 0.
Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 36 201 47 113 0 182
normalized size 1 1. 0.88 4.9 1.15 2.76 0. 4.44
time (sec) N/A 0.059 0.044 0.532 1.452 2.785 0. 1.093
Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 32 43 82 26 36
normalized size 1 1. 0.82 0.94 1.26 2.41 0.76 1.06
time (sec) N/A 0.06 0.011 0.035 1.407 2.591 0.333 1.076
Problem 660 Optimal Rubi Mathematica Maple 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 43 53 70 115 53 68
normalized size 1 1. 0.7 0.87 1.15 1.89 0.87 1.11
time (sec) N/A 0.107 0.025 0.044 1.426 2.441 1.295 1.09
Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 46 34 123 20 36
normalized size 1 1. 1. 2.42 1.79 6.47 1.05 1.89
time (sec) N/A 0.038 0.011 0.035 1.405 2.532 4.896 1.078
Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 32 47 34 122 20 36
normalized size 1 1. 1.88 2.76 2. 7.18 1.18 2.12
time (sec) N/A 0.035 0.054 0.038 1.41 2.408 6.044 1.08
Problem 663 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 62 62 45 63 65 151 0 73
normalized size 1 1. 0.73 1.02 1.05 2.44 0. 1.18
time (sec) N/A 0.039 0.088 0.037 1.411 2.539 0. 1.09
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 36 36 40 61 61 155 37 54
normalized size 1 1. 1.11 1.69 1.69 4.31 1.03 1.5
time (sec) N/A 0.069 0.064 0.219 1.445 2.502 15.3 1.089
Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 62 62 112 97 0 0 0 0
normalized size 1 1. 1.81 1.56 0. 0. 0. 0.
time (sec) N/A 0.116 0.181 0.159 0. 0. 0. 0.
Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 38 43 57 95 60 128
normalized size 1 1. 0.7 0.8 1.06 1.76 1.11 2.37
time (sec) N/A 0.091 0.043 0.043 1.41 2.698 114.909 1.104
Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 50 158 70 119 78 72
normalized size 1 1. 0.76 2.39 1.06 1.8 1.18 1.09
time (sec) N/A 0.072 0.053 0.14 1.452 2.522 2.945 1.112
Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 60 69 0 151 66 81
normalized size 1 1. 0.82 0.95 0. 2.07 0.9 1.11
time (sec) N/A 0.155 0.032 0.053 0. 2.459 1.272 1.117
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 32 32 21 27 35 55 31 35
normalized size 1 1. 0.66 0.84 1.09 1.72 0.97 1.09
time (sec) N/A 0.026 0.02 0.004 1.408 2.363 0.687 1.064
Problem 670 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 44 44 36 37 53 95 88 46
normalized size 1 1. 0.82 0.84 1.2 2.16 2. 1.05
time (sec) N/A 0.029 0.02 0.005 1.4 2.436 1.142 1.063
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 23 23 23 20 32 68 19 26
normalized size 1 1. 1. 0.87 1.39 2.96 0.83 1.13
time (sec) N/A 0.048 0.015 0.009 1.411 2.409 0.385 1.082
Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 57 128 0 0 0 0
normalized size 1 1. 0.85 1.91 0. 0. 0. 0.
time (sec) N/A 0.094 0.032 0.031 0. 0. 0. 0.
Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 29 54 80 0 0
normalized size 1 1. 0.82 0.85 1.59 2.35 0. 0.
time (sec) N/A 0.047 0.026 0.012 1.418 2.526 0. 0.
Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 79 79 64 139 0 0 0 0
normalized size 1 1. 0.81 1.76 0. 0. 0. 0.
time (sec) N/A 0.113 0.067 0.013 0. 0. 0. 0.
Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 70 149 0 0 0 0
normalized size 1 1. 0.79 1.67 0. 0. 0. 0.
time (sec) N/A 0.234 0.201 0.018 0. 0. 0. 0.
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 22 22 22 23 28 72 19 34
normalized size 1 1. 1. 1.05 1.27 3.27 0.86 1.55
time (sec) N/A 0.034 0.006 0.008 1.415 2.312 0.385 1.069
Problem 677 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 31 31 59 30 42 74 34 42
normalized size 1 1. 1.9 0.97 1.35 2.39 1.1 1.35
time (sec) N/A 0.023 0.008 0.008 1.411 2.435 0.86 1.077
Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 81 79 96 0 0 0
normalized size 1 1. 1.29 1.25 1.52 0. 0. 0.
time (sec) N/A 0.084 0.007 0.019 1.575 0. 0. 0.
Problem 679 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 28 28 28 25 36 92 22 0
normalized size 1 1. 1. 0.89 1.29 3.29 0.79 0.
time (sec) N/A 0.057 0.006 0.012 1.439 2.505 0.595 0.
Problem 680 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 39 39 38 34 49 113 32 0
normalized size 1 1. 0.97 0.87 1.26 2.9 0.82 0.
time (sec) N/A 0.07 0.019 0.001 1.426 2.509 0.547 0.
Problem 681 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 60 60 56 57 96 153 61 0
normalized size 1 1. 0.93 0.95 1.6 2.55 1.02 0.
time (sec) N/A 0.078 0.032 0.019 1.44 2.429 0.908 0.
Problem 682 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 82 47 78 127 132 0 0
normalized size 1 1.04 0.59 0.99 1.61 1.67 0. 0.
time (sec) N/A 0.133 0.056 0.025 1.486 2.531 0. 0.
Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 116 116 708 0 0 0 0
normalized size 1 1.08 1.08 6.62 0. 0. 0. 0.
time (sec) N/A 0.154 0.172 0.391 0. 0. 0. 0.
Problem 684 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 133 86 305 0 146 0 0
normalized size 1 1.25 0.81 2.88 0. 1.38 0. 0.
time (sec) N/A 0.196 0.295 0.322 0. 2.752 0. 0.
Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 48 602 36 69 0 101
normalized size 1 1. 1.17 14.68 0.88 1.68 0. 2.46
time (sec) N/A 0.052 0.053 0.383 1.477 2.338 0. 1.105
Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A NO Yes TBD TBD TBD TBD TBD
size 65 67 67 128 65 198 0 78
normalized size 1 1.03 1.03 1.97 1. 3.05 0. 1.2
time (sec) N/A 0.031 0.13 0.24 1.182 2.354 0. 1.116
Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A NO Yes TBD TBD TBD TBD TBD
size 51 53 61 121 62 180 0 72
normalized size 1 1.04 1.2 2.37 1.22 3.53 0. 1.41
time (sec) N/A 0.064 0.117 0.248 1.156 2.644 0. 1.092
Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F(-1) A
verified N/A NO Yes TBD TBD TBD TBD TBD
size 82 84 72 197 0 186 0 86
normalized size 1 1.02 0.88 2.4 0. 2.27 0. 1.05
time (sec) N/A 0.09 0.175 0.403 0. 2.629 0. 1.119
Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 175 232 383 240 0 0 0 0
normalized size 1 1.33 2.19 1.37 0. 0. 0. 0.
time (sec) N/A 0.317 1.87 0.372 0. 0. 0. 0.
Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 35 186 23 45 0 68
normalized size 1 1. 1.52 8.09 1. 1.96 0. 2.96
time (sec) N/A 0.048 0.034 0.223 1.472 2.577 0. 1.105
Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A F(-1) A
verified N/A NO Yes TBD TBD TBD TBD TBD
size 70 91 79 702 166 223 0 142
normalized size 1 1.3 1.13 10.03 2.37 3.19 0. 2.03
time (sec) N/A 0.086 0.128 0.475 2.579 2.536 0. 1.13
Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 101 76 443 78 117 0 0
normalized size 1 1.36 1.03 5.99 1.05 1.58 0. 0.
time (sec) N/A 0.179 0.059 0.405 1.507 2.581 0. 0.
Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 172 84 327 0 163 0 0
normalized size 1 1.29 0.63 2.46 0. 1.23 0. 0.
time (sec) N/A 0.201 0.241 0.355 0. 2.398 0. 0.
Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 146 92 1153 126 163 0 0
normalized size 1 1.33 0.84 10.48 1.15 1.48 0. 0.
time (sec) N/A 0.2 0.09 0.588 2.538 2.432 0. 0.
Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 118 99 85 139 132 0 0
normalized size 1 2.15 1.8 1.55 2.53 2.4 0. 0.
time (sec) N/A 0.843 0.144 0.025 1.449 2.535 0. 0.
Problem 696 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 40 40 71 64 120 154 0 66
normalized size 1 1. 1.78 1.6 3. 3.85 0. 1.65
time (sec) N/A 0.043 0.049 0.013 1.417 2.88 0. 1.116
Problem 697 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 39 39 35 32 42 146 153 43
normalized size 1 1. 0.9 0.82 1.08 3.74 3.92 1.1
time (sec) N/A 0.029 0.028 0.009 1.411 2.799 0.662 1.076
Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 105 102 159 0 0 0
normalized size 1 1. 0.86 0.84 1.3 0. 0. 0.
time (sec) N/A 0.091 0.03 0.013 1.625 0. 0. 0.
Problem 699 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 28 28 28 0 0 42 27 0
normalized size 1 1. 1. 0. 0. 1.5 0.96 0.
time (sec) N/A 0.033 0.017 0.056 0. 2.551 2.921 0.
Problem 700 Optimal Rubi Mathematica Maple 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 26 34 76 26 34
normalized size 1 1. 1. 0.84 1.1 2.45 0.84 1.1
time (sec) N/A 0.038 0.027 0.007 0.942 2.527 3.328 1.072
Problem 701 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 61 70 0 235 0 78
normalized size 1 1. 1.07 1.23 0. 4.12 0. 1.37
time (sec) N/A 0.032 0.111 0.006 0. 2.716 0. 1.098
Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 140 72 76 157 347 0 266
normalized size 1 1.71 0.88 0.93 1.91 4.23 0. 3.24
time (sec) N/A 0.078 0.081 0.015 3.699 2.476 0. 1.247
Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 66 0 0 1785 0 0
normalized size 1 1. 1.35 0. 0. 36.43 0. 0.
time (sec) N/A 0.14 0.228 0.046 0. 2.554 0. 0.
Problem 704 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 40 854 73 1422 0 95
normalized size 1 1. 1.11 23.72 2.03 39.5 0. 2.64
time (sec) N/A 0.12 0.167 0.462 1.448 2.305 0. 1.092
Problem 705 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 28 28 64 0 22 100 0 51
normalized size 1 1. 2.29 0. 0.79 3.57 0. 1.82
time (sec) N/A 0.077 0.837 0.046 1.647 2.213 0. 1.079

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 [397] had the largest ratio of [ 1.333 ]

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 1 1 1. 14 0.071
2 A 1 1 1. 13 0.077
3 A 1 1 1. 5 0.2
4 A 2 2 1. 10 0.2
5 A 1 1 1. 12 0.083
6 A 2 2 1. 5 0.4
7 A 2 2 1. 5 0.4
8 A 2 1 1. 7 0.143
9 A 1 1 1. 6 0.167
10 A 1 1 1. 8 0.125
11 A 2 2 1. 12 0.167
12 A 2 2 1. 17 0.118
13 A 2 2 1. 18 0.111
14 A 3 2 1. 19 0.105
15 A 3 2 1. 20 0.1
16 A 3 2 1.22 19 0.105
17 A 3 2 1.22 20 0.1
18 A 2 2 1. 10 0.2
19 A 2 2 1. 13 0.154
20 A 2 2 1. 8 0.25
21 A 2 1 1. 12 0.083
22 A 2 2 1. 12 0.167
23 A 2 2 1. 14 0.143
24 A 3 2 1. 16 0.125
25 A 4 2 1. 22 0.091
26 A 2 1 1. 13 0.077
27 A 3 2 1. 15 0.133
28 A 3 3 1. 15 0.2
29 A 1 1 1. 9 0.111
30 A 1 1 1. 9 0.111
31 A 4 3 1. 10 0.3
32 A 2 2 1. 4 0.5
33 A 2 2 1. 4 0.5
34 A 2 2 1. 7 0.286
35 A 2 1 1. 7 0.143
36 A 3 2 1. 9 0.222
37 A 2 2 1. 8 0.25
38 A 2 2 1. 8 0.25
39 A 4 2 1. 9 0.222
40 A 4 4 1. 9 0.444
41 A 2 2 1. 9 0.222
42 A 2 2 1. 11 0.182
43 A 3 2 1. 19 0.105
44 A 3 2 1. 10 0.2
45 A 3 3 1. 16 0.188
46 A 3 2 1. 14 0.143
47 A 4 3 1. 11 0.273
48 A 2 2 1. 13 0.154
49 A 3 2 1. 13 0.154
50 A 3 3 1. 15 0.2
51 A 3 3 1. 17 0.176
52 A 3 3 1. 17 0.176
53 A 3 3 1. 15 0.2
54 A 2 2 1. 12 0.167
55 A 2 2 1. 14 0.143
56 A 2 2 1. 11 0.182
57 A 3 3 1. 18 0.167
58 A 2 2 1. 16 0.125
59 A 1 1 1.1 18 0.056
60 A 7 5 1. 17 0.294
61 A 2 2 1.3 10 0.2
62 A 3 1 1. 11 0.091
63 A 2 1 1. 17 0.059
64 A 3 2 1.06 19 0.105
65 A 3 2 1. 19 0.105
66 A 3 3 1. 11 0.273
67 A 3 3 1. 17 0.176
68 A 1 1 1. 12 0.083
69 A 2 2 1. 24 0.083
70 A 1 1 1. 16 0.062
71 A 2 2 1. 6 0.333
72 A 1 1 1. 6 0.167
73 A 5 4 1.06 12 0.333
74 A 2 1 1. 4 0.25
75 A 4 3 1. 9 0.333
76 A 3 2 1. 4 0.5
77 A 1 1 1. 8 0.125
78 A 1 1 1. 10 0.1
79 A 1 1 1. 6 0.167
80 A 1 1 1. 3 0.333
81 A 3 4 1. 8 0.5
82 A 3 3 1. 6 0.5
83 A 4 4 1. 6 0.667
84 A 3 3 1. 4 0.75
85 A 4 4 1. 13 0.308
86 A 6 6 1.5 12 0.5
87 A 2 1 1. 11 0.091
88 A 2 1 1. 16 0.062
89 A 1 1 1. 15 0.067
90 A 2 1 1. 11 0.091
91 A 3 2 1. 13 0.154
92 A 3 2 1. 12 0.167
93 A 4 4 1. 16 0.25
94 A 5 5 1. 14 0.357
95 A 7 6 1. 29 0.207
96 A 3 2 1. 19 0.105
97 A 2 1 1. 39 0.026
98 A 12 5 1.65 21 0.238
99 A 3 2 1. 20 0.1
100 A 2 1 1. 21 0.048
101 A 2 1 1. 11 0.091
102 A 2 1 1. 9 0.111
103 A 2 1 1. 25 0.04
104 A 2 1 1. 24 0.042
105 A 3 2 1. 19 0.105
106 A 2 1 1. 19 0.053
107 A 5 4 1. 19 0.21
108 A 5 4 1. 16 0.25
109 A 3 3 1. 14 0.214
110 A 6 5 1. 33 0.152
111 A 5 4 1. 21 0.19
112 A 5 4 1. 21 0.19
113 A 9 5 1. 10 0.5
114 A 10 9 1. 17 0.529
115 A 6 5 1. 26 0.192
116 A 6 2 1. 29 0.069
117 A 3 2 1. 30 0.067
118 A 6 6 1. 9 0.667
119 A 6 6 1. 11 0.546
120 A 1 1 1. 13 0.077
121 A 4 4 1. 13 0.308
122 A 7 7 1. 13 0.538
123 A 7 7 1. 13 0.538
124 A 3 2 1. 13 0.154
125 A 8 7 1. 13 0.538
126 A 1 1 1. 15 0.067
127 A 3 3 1. 11 0.273
128 A 2 2 1. 13 0.154
129 A 4 4 1. 15 0.267
130 A 4 4 1. 15 0.267
131 A 3 3 1. 15 0.2
132 A 4 4 1. 15 0.267
133 A 1 1 1. 17 0.059
134 A 2 2 1. 11 0.182
135 A 9 6 1. 13 0.462
136 A 6 6 1. 9 0.667
137 A 6 6 1. 11 0.546
138 A 6 6 1. 13 0.462
139 A 6 6 1. 13 0.462
140 A 1 1 1. 13 0.077
141 A 4 4 1. 13 0.308
142 A 7 7 1. 13 0.538
143 A 7 7 1. 13 0.538
144 A 7 7 1. 13 0.538
145 A 1 1 1. 15 0.067
146 A 22 8 1. 13 0.615
147 A 4 3 1. 10 0.3
148 A 4 4 1. 16 0.25
149 A 3 3 1. 19 0.158
150 A 5 5 1. 26 0.192
151 A 7 7 1. 7 1.
152 A 4 4 1. 18 0.222
153 A 7 7 1. 9 0.778
154 A 5 4 1.54 18 0.222
155 A 5 5 1. 18 0.278
156 A 5 4 1. 16 0.25
157 A 4 3 1. 16 0.188
158 A 2 1 1. 16 0.062
159 A 2 1 1. 9 0.111
160 A 3 2 1. 15 0.133
161 A 3 2 1. 11 0.182
162 A 2 1 1. 11 0.091
163 A 5 3 1. 10 0.3
164 A 4 3 1. 10 0.3
165 A 2 1 1. 11 0.091
166 A 4 3 1.17 11 0.273
167 A 5 3 1. 11 0.273
168 A 3 3 1. 18 0.167
169 A 3 3 1. 18 0.167
170 A 4 4 1. 11 0.364
171 A 3 3 1.22 21 0.143
172 A 1 1 1. 13 0.077
173 A 3 2 1. 13 0.154
174 A 12 8 1. 13 0.615
175 A 5 4 1. 13 0.308
176 A 3 2 1. 13 0.154
177 A 8 8 1. 13 0.615
178 A 5 4 1. 16 0.25
179 A 4 4 1. 18 0.222
180 A 2 1 1. 44 0.023
181 A 7 6 1. 16 0.375
182 A 7 6 1. 22 0.273
183 A 2 1 1. 15 0.067
184 A 3 2 1. 13 0.154
185 A 3 2 1. 13 0.154
186 A 2 1 1.14 11 0.091
187 A 2 1 1. 11 0.091
188 A 2 1 1. 9 0.111
189 A 2 1 1. 17 0.059
190 A 2 1 1. 19 0.053
191 A 2 1 1. 19 0.053
192 A 2 1 1. 19 0.053
193 A 2 2 1. 19 0.105
194 A 4 4 1. 19 0.21
195 A 3 3 1. 19 0.158
196 A 4 4 1. 19 0.21
197 A 5 4 1. 19 0.21
198 A 2 2 1. 21 0.095
199 A 3 2 1. 14 0.143
200 A 4 4 1. 18 0.222
201 A 4 3 1. 14 0.214
202 A 7 3 1. 10 0.3
203 A 7 6 1. 16 0.375
204 A 8 5 1. 14 0.357
205 A 7 5 1. 20 0.25
206 A 3 2 1. 14 0.143
207 A 6 4 1. 13 0.308
208 A 9 4 1. 24 0.167
209 A 5 3 1. 33 0.091
210 A 4 3 1. 11 0.273
211 A 2 1 1. 13 0.077
212 A 4 3 1. 21 0.143
213 A 5 4 1. 19 0.21
214 A 3 2 1. 17 0.118
215 A 5 3 1.02 11 0.273
216 A 9 3 1.08 13 0.231
217 A 8 5 1. 11 0.454
218 A 3 3 1. 15 0.2
219 A 4 4 1.03 19 0.21
220 A 6 6 1. 27 0.222
221 A 33 16 1.05 52 0.308
222 A 46 21 1.79 56 0.375
223 A 2 2 1.16 15 0.133
224 A 2 2 1.2 15 0.133
225 A 3 3 1.19 15 0.2
226 B 3 3 2.81 13 0.231
227 A 9 9 1.09 19 0.474
228 B 6 6 2.69 17 0.353
229 A 2 2 1. 12 0.167
230 A 4 4 1. 17 0.235
231 A 7 5 1. 17 0.294
232 B 3 3 2.51 17 0.176
233 A 3 3 1. 17 0.176
234 A 5 4 1. 17 0.235
235 A 2 2 1. 14 0.143
236 A 2 2 1. 14 0.143
237 A 2 2 1. 14 0.143
238 A 2 2 1. 19 0.105
239 A 2 2 1. 19 0.105
240 A 3 3 1. 22 0.136
241 A 3 3 1. 22 0.136
242 A 5 4 1. 17 0.235
243 A 5 5 1. 21 0.238
244 A 9 7 1. 20 0.35
245 A 5 5 1. 24 0.208
246 A 5 4 1. 21 0.19
247 A 5 4 1. 30 0.133
248 A 5 4 1.11 32 0.125
249 A 2 2 1. 30 0.067
250 A 4 3 1. 15 0.2
251 A 3 2 1. 13 0.154
252 A 3 2 1. 11 0.182
253 A 3 2 1. 20 0.1
254 A 2 2 1. 18 0.111
255 A 4 4 1. 17 0.235
256 A 3 3 1. 17 0.176
257 A 5 5 1. 20 0.25
258 A 4 4 1. 24 0.167
259 A 15 9 1. 33 0.273
260 A 32 14 1. 44 0.318
261 A 4 4 1. 16 0.25
262 A 5 5 1. 18 0.278
263 A 6 5 1. 18 0.278
264 A 5 5 1. 19 0.263
265 A 4 4 1. 24 0.167
266 A 2 2 1. 10 0.2
267 A 4 4 1. 14 0.286
268 A 1 1 1. 10 0.1
269 A 1 1 1. 12 0.083
270 A 4 4 1. 14 0.286
271 A 5 5 1. 14 0.357
272 A 4 3 1. 10 0.3
273 A 5 3 1. 10 0.3
274 A 3 3 1. 14 0.214
275 A 4 4 1. 14 0.286
276 A 4 4 1. 14 0.286
277 A 5 5 1. 14 0.357
278 A 2 2 1. 16 0.125
279 A 10 7 1. 22 0.318
280 A 6 6 1. 18 0.333
281 A 6 6 1. 28 0.214
282 A 4 4 1. 34 0.118
283 A 14 10 1. 24 0.417
284 A 3 2 1. 12 0.167
285 A 2 2 1. 14 0.143
286 A 2 2 1. 14 0.143
287 A 5 4 1. 16 0.25
288 A 3 2 1.31 14 0.143
289 A 7 6 1. 23 0.261
290 A 26 8 1. 29 0.276
291 A 36 8 1. 31 0.258
292 A 4 3 1. 11 0.273
293 A 1 1 1. 15 0.067
294 A 6 6 1. 13 0.462
295 A 2 1 1. 13 0.077
296 A 6 6 1. 17 0.353
297 A 3 2 1. 15 0.133
298 A 13 9 1. 17 0.529
299 A 1 1 1. 13 0.077
300 A 1 1 1. 13 0.077
301 A 5 5 1. 15 0.333
302 A 6 6 1. 13 0.462
303 A 5 5 1. 15 0.333
304 A 6 5 1. 15 0.333
305 A 6 6 1. 15 0.4
306 B 12 12 2.15 13 0.923
307 A 8 6 0.9 13 0.462
308 A 3 3 1. 22 0.136
309 A 5 5 1. 16 0.312
310 A 5 5 1. 18 0.278
311 A 3 3 1. 23 0.13
312 A 1 1 1. 23 0.043
313 A 9 4 1. 39 0.103
314 A 7 7 1.37 17 0.412
315 A 10 7 1. 17 0.412
316 A 2 2 1. 15 0.133
317 A 5 5 1. 17 0.294
318 A 3 2 1.23 17 0.118
319 A 9 9 1.37 32 0.281
320 A 2 2 1. 24 0.083
321 A 2 2 1. 24 0.083
322 A 6 6 1.44 18 0.333
323 A 6 6 1.44 18 0.333
324 A 2 2 1. 27 0.074
325 A 2 2 1. 27 0.074
326 A 1 1 1. 21 0.048
327 A 1 1 1. 44 0.023
328 A 2 2 1. 27 0.074
329 A 2 2 1. 31 0.065
330 A 2 2 1. 4 0.5
331 A 2 1 1. 4 0.25
332 A 3 2 1. 4 0.5
333 A 4 2 1. 4 0.5
334 A 5 2 1. 4 0.5
335 B 3 2 3.2 14 0.143
336 A 2 1 1. 14 0.071
337 A 2 1 1. 4 0.25
338 A 4 2 1. 4 0.5
339 A 2 1 1. 4 0.25
340 A 2 2 1. 12 0.167
341 A 4 2 1. 4 0.5
342 A 3 2 1. 4 0.5
343 A 3 2 1. 14 0.143
344 A 6 3 1. 9 0.333
345 A 3 2 1. 9 0.222
346 A 4 3 1. 7 0.429
347 A 3 2 1. 9 0.222
348 A 3 3 1. 9 0.333
349 A 5 3 1. 9 0.333
350 A 7 3 1. 9 0.333
351 A 9 3 1. 9 0.333
352 A 1 1 1. 13 0.077
353 A 3 2 1. 23 0.087
354 A 2 2 1. 9 0.222
355 A 2 1 1. 7 0.143
356 A 2 2 1. 7 0.286
357 A 3 3 1. 9 0.333
358 A 3 2 1. 9 0.222
359 A 3 2 1. 11 0.182
360 A 3 2 1. 11 0.182
361 A 4 3 1. 9 0.333
362 A 3 3 1. 29 0.103
363 A 8 5 0.95 22 0.227
364 A 15 7 1. 17 0.412
365 A 4 3 1. 17 0.176
366 A 4 2 1. 9 0.222
367 A 4 3 1. 7 0.429
368 A 1 1 1. 7 0.143
369 A 4 4 1. 9 0.444
370 A 6 2 1. 9 0.222
371 A 4 3 1. 9 0.333
372 A 3 1 1. 9 0.111
373 A 7 6 1.02 11 0.546
374 A 5 5 1.55 9 0.556
375 A 5 4 1. 16 0.25
376 A 3 3 1.57 14 0.214
377 B 3 3 2.85 12 0.25
378 A 2 1 1. 16 0.062
379 A 6 4 1. 10 0.4
380 A 4 3 1. 9 0.333
381 A 3 2 1. 9 0.222
382 A 4 4 1. 21 0.19
383 A 2 1 1. 9 0.111
384 A 2 2 1. 7 0.286
385 A 4 3 1. 9 0.333
386 A 4 3 1. 9 0.333
387 A 5 5 1. 7 0.714
388 A 4 2 1. 7 0.286
389 A 4 2 1. 9 0.222
390 A 1 1 1. 10 0.1
391 A 1 1 1. 12 0.083
392 A 2 2 1. 10 0.2
393 A 2 2 1. 12 0.167
394 A 3 3 1. 12 0.25
395 A 3 2 1. 14 0.143
396 A 4 2 1. 32 0.062
397 A 11 8 1. 6 1.333
398 A 9 9 1.21 8 1.125
399 A 6 5 1. 12 0.417
400 A 4 2 1. 32 0.062
401 A 19 13 1.58 13 1.
402 A 1 1 1. 11 0.091
403 A 1 1 1. 11 0.091
404 A 2 2 1. 11 0.182
405 A 6 5 1. 16 0.312
406 A 4 3 1. 13 0.231
407 A 4 3 1. 13 0.231
408 A 1 1 1. 13 0.077
409 A 2 2 1. 13 0.154
410 A 3 3 1. 11 0.273
411 A 6 4 1.4 35 0.114
412 A 5 4 1.53 11 0.364
413 B 13 9 2.22 11 0.818
414 A 4 2 1. 13 0.154
415 A 4 2 1. 13 0.154
416 B 27 11 2.17 27 0.407
417 A 66 21 1.83 41 0.512
418 A 13 4 1.13 28 0.143
419 A 5 3 0.92 15 0.2
420 A 5 3 1. 18 0.167
421 A 5 4 1. 20 0.2
422 A 4 3 1. 20 0.15
423 A 3 3 1. 19 0.158
424 A 4 3 1. 22 0.136
425 A 4 3 1. 23 0.13
426 A 18 13 1.07 33 0.394
427 A 27 6 1. 39 0.154
428 A 5 3 1. 17 0.176
429 A 3 3 1. 11 0.273
430 A 5 4 1. 11 0.364
431 A 1 1 1. 11 0.091
432 A 6 6 1. 13 0.462
433 A 11 9 1.05 28 0.321
434 A 7 6 1. 12 0.5
435 A 4 4 1. 12 0.333
436 A 10 10 1. 22 0.454
437 A 5 4 1. 23 0.174
438 A 16 12 1. 31 0.387
439 A 10 7 1. 48 0.146
440 A 7 5 1. 15 0.333
441 A 6 5 1. 15 0.333
442 A 6 6 1. 19 0.316
443 A 7 7 1. 15 0.467
444 A 6 6 1. 19 0.316
445 A 6 6 1. 20 0.3
446 A 29 16 1.31 61 0.262
447 B 21 10 2.08 29 0.345
448 A 7 7 1. 20 0.35
449 A 14 10 1.71 15 0.667
450 A 4 3 1. 19 0.158
451 A 2 2 1. 33 0.061
452 A 15 9 1.3 31 0.29
453 A 14 10 1.25 52 0.192
454 A 4 3 1. 15 0.2
455 A 14 10 1.51 15 0.667
456 A 3 3 1.06 11 0.273
457 A 6 5 1. 11 0.454
458 A 3 2 1. 11 0.182
459 A 4 2 1. 11 0.182
460 A 3 2 1. 11 0.182
461 A 5 4 1. 13 0.308
462 A 6 4 1. 13 0.308
463 A 1 1 1. 7 0.143
464 A 3 2 1. 11 0.182
465 A 4 3 1. 19 0.158
466 A 3 2 1. 13 0.154
467 A 3 2 1. 13 0.154
468 A 2 2 1. 11 0.182
469 A 2 2 1. 12 0.167
470 A 3 2 1. 13 0.154
471 A 2 1 1. 13 0.077
472 A 3 2 1. 11 0.182
473 A 3 3 1. 23 0.13
474 A 2 2 1. 19 0.105
475 A 2 2 1. 15 0.133
476 A 3 2 1. 15 0.133
477 A 3 2 1. 11 0.182
478 A 2 2 1. 14 0.143
479 A 2 1 1. 12 0.083
480 A 2 1 1. 16 0.062
481 A 2 2 1. 20 0.1
482 A 2 2 1. 25 0.08
483 A 9 4 1. 8 0.5
484 A 8 4 1. 8 0.5
485 A 13 4 1. 8 0.5
486 A 4 4 1. 10 0.4
487 A 6 5 1. 10 0.5
488 A 5 4 1. 8 0.5
489 A 3 3 1. 8 0.375
490 A 8 8 1. 8 1.
491 A 7 7 1. 6 1.167
492 A 2 2 1. 18 0.111
493 A 3 3 1. 15 0.2
494 A 2 2 1. 11 0.182
495 A 9 4 1.21 22 0.182
496 A 3 1 1. 11 0.091
497 A 4 3 1. 13 0.231
498 A 3 2 1. 13 0.154
499 A 4 3 1. 13 0.231
500 A 4 4 1.08 13 0.308
501 A 4 3 1. 15 0.2
502 A 3 1 1. 11 0.091
503 A 6 2 1. 13 0.154
504 A 7 2 1. 13 0.154
505 A 8 2 1. 13 0.154
506 A 2 2 1.11 13 0.154
507 A 3 1 1. 13 0.077
508 A 6 2 1. 15 0.133
509 A 7 2 1. 15 0.133
510 A 8 2 1. 15 0.133
511 A 2 2 1.11 15 0.133
512 A 2 1 1. 7 0.143
513 A 3 2 1. 9 0.222
514 A 3 2 1. 9 0.222
515 A 3 2 1. 9 0.222
516 A 2 2 1. 9 0.222
517 A 2 1 1. 9 0.111
518 A 3 2 1. 11 0.182
519 A 3 2 1. 11 0.182
520 A 3 2 1. 11 0.182
521 A 2 2 1. 11 0.182
522 A 4 4 1. 11 0.364
523 A 7 7 1.23 15 0.467
524 A 3 2 1. 13 0.154
525 A 5 5 1. 24 0.208
526 A 6 5 1. 29 0.172
527 A 2 2 1. 21 0.095
528 A 6 6 1. 15 0.4
529 A 2 2 1. 15 0.133
530 A 3 3 1. 17 0.176
531 A 3 3 1. 19 0.158
532 A 3 3 1. 39 0.077
533 A 4 4 1.54 17 0.235
534 A 3 2 1. 21 0.095
535 A 4 2 1. 11 0.182
536 A 3 2 1. 11 0.182
537 A 3 2 1. 9 0.222
538 A 5 3 1. 12 0.25
539 A 6 6 1. 13 0.462
540 A 1 1 1. 25 0.04
541 A 1 1 1. 10 0.1
542 A 6 4 1. 21 0.19
543 A 2 2 1. 16 0.125
544 A 2 2 1. 10 0.2
545 A 2 2 1. 10 0.2
546 A 3 3 1. 16 0.188
547 A 4 3 1. 14 0.214
548 A 4 3 1. 22 0.136
549 A 5 3 1.47 10 0.3
550 A 1 1 1. 10 0.1
551 A 2 2 1.51 10 0.2
552 A 2 2 1. 10 0.2
553 A 2 2 1. 12 0.167
554 A 2 2 1. 10 0.2
555 A 2 2 1. 12 0.167
556 A 1 1 1. 18 0.056
557 A 7 6 1.1 16 0.375
558 A 1 1 1. 14 0.071
559 A 7 6 1.05 16 0.375
560 A 7 6 1.04 18 0.333
561 A 1 1 1. 16 0.062
562 A 7 6 1.09 14 0.429
563 A 1 1 1. 16 0.062
564 A 4 3 1. 7 0.429
565 A 11 5 1. 9 0.556
566 A 11 5 1. 11 0.454
567 A 31 8 1.35 15 0.533
568 A 11 5 1. 13 0.385
569 A 24 6 1. 17 0.353
570 A 1 1 1. 2 0.5
571 A 1 1 1. 2 0.5
572 A 1 1 1. 2 0.5
573 A 1 1 1. 2 0.5
574 A 1 1 1. 2 0.5
575 A 1 1 1. 2 0.5
576 A 2 2 1. 4 0.5
577 A 2 1 1. 4 0.25
578 A 3 2 1. 4 0.5
579 A 2 2 1. 4 0.5
580 A 3 2 1. 4 0.5
581 A 4 3 1. 7 0.429
582 A 3 2 1. 11 0.182
583 A 2 2 1.02 8 0.25
584 A 2 2 1. 6 0.333
585 A 2 2 1. 8 0.25
586 A 2 2 1. 14 0.143
587 A 2 2 1. 15 0.133
588 A 3 3 1. 10 0.3
589 A 5 3 1. 23 0.13
590 A 5 2 1. 11 0.182
591 A 5 2 1. 15 0.133
592 A 8 4 1.48 31 0.129
593 A 3 3 1. 15 0.2
594 A 5 3 1. 21 0.143
595 A 2 2 1. 11 0.182
596 A 3 3 1. 6 0.5
597 A 3 3 1. 6 0.5
598 A 13 7 1. 16 0.438
599 A 8 4 1. 13 0.308
600 A 3 3 1. 10 0.3
601 A 3 3 1. 10 0.3
602 A 2 2 1. 13 0.154
603 A 3 3 1.46 13 0.231
604 A 2 2 1. 11 0.182
605 A 4 3 1. 12 0.25
606 A 3 2 1. 14 0.143
607 A 3 2 1. 18 0.111
608 A 1 1 1. 6 0.167
609 A 2 2 1. 8 0.25
610 A 2 2 1. 10 0.2
611 A 2 1 1.04 8 0.125
612 A 4 4 1. 10 0.4
613 A 6 2 1. 14 0.143
614 A 13 8 1.22 16 0.5
615 A 5 3 1. 8 0.375
616 A 2 2 1. 10 0.2
617 A 2 2 1. 10 0.2
618 A 2 2 1. 8 0.25
619 A 2 2 1. 12 0.167
620 A 2 2 1. 12 0.167
621 A 2 2 1. 14 0.143
622 A 3 2 1. 16 0.125
623 A 3 2 1. 18 0.111
624 A 3 2 1. 18 0.111
625 A 4 3 1. 20 0.15
626 A 4 3 1. 22 0.136
627 A 4 3 1. 22 0.136
628 A 1 1 1. 7 0.143
629 A 3 2 1. 9 0.222
630 A 4 2 1. 9 0.222
631 A 5 2 1. 9 0.222
632 A 3 2 1. 9 0.222
633 A 3 3 1. 8 0.375
634 A 3 1 1. 8 0.125
635 A 2 2 1. 6 0.333
636 A 2 3 1. 6 0.5
637 A 2 2 1. 14 0.143
638 A 3 2 1. 8 0.25
639 A 8 6 1. 20 0.3
640 A 6 6 1. 14 0.429
641 A 4 4 1. 8 0.5
642 A 4 3 1. 8 0.375
643 A 4 5 1. 14 0.357
644 A 6 7 1. 12 0.583
645 A 5 5 1. 8 0.625
646 A 5 5 1. 8 0.625
647 A 10 7 1. 8 0.875
648 A 13 8 1. 8 1.
649 A 5 5 1. 8 0.625
650 A 10 5 1. 8 0.625
651 A 3 3 1. 14 0.214
652 A 3 3 1. 14 0.214
653 A 2 1 1. 15 0.067
654 A 6 5 1. 14 0.357
655 A 3 2 1. 15 0.133
656 A 4 5 1. 17 0.294
657 A 10 7 1. 17 0.412
658 A 4 3 1. 17 0.176
659 A 3 3 1. 17 0.176
660 A 5 3 1. 17 0.176
661 A 2 2 1. 15 0.133
662 A 2 2 1. 15 0.133
663 A 4 4 1. 14 0.286
664 A 3 5 1. 17 0.294
665 A 8 6 1. 17 0.353
666 A 4 4 1. 17 0.235
667 A 5 4 1. 17 0.235
668 A 6 4 1. 19 0.21
669 A 3 3 1. 11 0.273
670 A 4 3 1. 11 0.273
671 A 4 4 1. 13 0.308
672 A 8 8 1. 13 0.615
673 A 2 2 1. 13 0.154
674 A 8 8 1. 13 0.615
675 A 17 11 1. 13 0.846
676 A 8 8 1. 11 0.727
677 A 3 2 1. 11 0.182
678 A 12 6 1. 13 0.462
679 A 7 7 1. 13 0.538
680 A 8 7 1. 8 0.875
681 A 11 8 1. 13 0.615
682 A 4 4 1.04 15 0.267
683 A 9 7 1.08 15 0.467
684 A 11 8 1.25 15 0.533
685 A 4 4 1. 15 0.267
686 A 4 6 1.03 12 0.5
687 A 4 5 1.04 15 0.333
688 A 5 6 1.02 15 0.4
689 A 16 11 1.33 15 0.733
690 A 2 3 1. 15 0.2
691 A 5 8 1.3 15 0.533
692 A 6 4 1.36 17 0.235
693 A 11 9 1.29 17 0.529
694 A 8 5 1.33 17 0.294
695 B 8 7 2.15 16 0.438
696 A 4 4 1. 16 0.25
697 A 5 4 1. 8 0.5
698 A 5 5 1. 13 0.385
699 A 2 2 1. 24 0.083
700 A 2 3 1. 21 0.143
701 A 5 5 1. 12 0.417
702 A 7 6 1.71 10 0.6
703 A 5 6 1. 8 0.75
704 A 6 6 1. 10 0.6
705 A 5 6 1. 7 0.857

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