Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703 }

B grade: { }

C grade: { }

F grade: { 276, 277, 278}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 33, 35, 37, 40, 42, 43, 44, 45, 47, 49, 51, 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, 120, 122, 123, 124, 125, 126, 127, 128, 129, 131, 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, 185, 186, 187, 188, 189, 190, 194, 195, 196, 197, 199, 201, 202, 203, 204, 205, 206, 208, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 435, 440, 444, 445, 446, 449, 450, 453, 454, 457, 458, 459, 462, 463, 468, 469, 470, 473, 474, 475, 476, 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, 522, 523, 524, 525, 526, 527, 528, 530, 531, 532, 533, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 552, 553, 554, 555, 558, 559, 560, 562, 563, 565, 566, 567, 569, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 589, 590, 592, 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, 637, 638, 639, 640, 641, 642, 643, 646, 647, 648, 649, 650, 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, 689, 690, 693, 694, 698, 699, 702, 703 }

B grade: { 29, 31, 32, 34, 36, 38, 39, 41, 46, 48, 50, 52, 184, 191, 192, 193, 198, 200, 207, 209, 294, 521, 529, 534, 551, 556, 557, 561, 564, 568, 570, 571, 588, 591, 593 }

C grade: { 119, 121, 130, 132, 431, 432, 433, 434, 436, 437, 438, 439, 442, 443, 447, 448, 451, 452, 455, 456, 460, 461, 464, 465, 466, 467, 471, 472, 477, 478, 651, 652, 653, 686, 687, 688, 691, 692, 695, 696, 697, 700, 701 }

F grade: { 276, 277, 278, 441, 635, 636, 644, 645, 654}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 48, 50, 52, 54, 65, 67, 81, 84, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 114, 115, 125, 127, 136, 138, 146, 147, 148, 156, 157, 158, 159, 160, 162, 164, 165, 166, 167, 168, 169, 171, 173, 174, 175, 176, 177, 178, 180, 182, 184, 186, 189, 191, 240, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 293, 294, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 444, 445, 446, 449, 450, 453, 454, 457, 458, 459, 462, 463, 464, 468, 469, 470, 474, 475, 476, 479, 480, 481, 485, 486, 490, 491, 495, 496, 497, 501, 502, 503, 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, 649, 650, 657, 658, 661, 662, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703 }

B grade: { 32, 33, 35, 42, 47, 49, 51, 53, 55, 56, 57, 66, 68, 69, 70, 82, 83, 85, 86, 104, 110, 112, 117, 161, 163, 170, 172, 179, 181, 187, 188, 190, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 211, 213, 214, 215, 216, 217, 219, 221, 222, 223, 224, 225, 227, 229, 230, 231, 232, 233, 235, 237, 239, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 634, 642, 643, 659, 660, 691, 692 }

C grade: { 58, 59, 60, 61, 62, 63, 64, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 87, 88, 89, 90, 91, 92, 93, 94, 95, 109, 111, 113, 116, 118, 119, 120, 121, 122, 123, 124, 126, 128, 129, 130, 131, 132, 133, 134, 135, 137, 139, 140, 210, 212, 218, 220, 226, 228, 234, 236, 238, 295, 296, 297, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 635, 636, 637, 638, 639, 640, 641, 644, 645, 646, 647, 648 }

F grade: { 141, 142, 143, 144, 145, 149, 150, 151, 152, 153, 154, 155, 183, 185, 276, 277, 278, 292, 379, 441, 442, 443, 447, 448, 451, 452, 455, 456, 460, 461, 465, 466, 467, 471, 472, 473, 477, 478, 482, 483, 484, 487, 488, 489, 492, 493, 494, 498, 499, 500, 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, 651, 652, 653, 654, 655, 656, 663 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 7, 9, 12, 14, 16, 18, 23, 25, 27, 64, 80, 95, 99, 101, 102, 103, 104, 105, 107, 113, 124, 132, 133, 135, 140, 146, 147, 148, 156, 158, 212, 220, 228, 238, 265, 267, 268, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 299, 300, 302, 304, 306, 307, 314, 315, 321, 322, 323, 324, 329, 330, 331, 332, 337, 338, 339, 340, 346, 347, 348, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 385, 386, 387, 388, 394, 395, 396, 397, 404, 405, 406, 407, 413, 414, 415, 422, 425, 429, 430, 435, 440, 458, 459, 463, 485, 486, 490, 491, 495, 496, 532, 539, 596, 597, 598, 599, 600, 602, 604, 605, 606, 607, 608, 609, 611, 613, 614, 615, 616, 617, 618, 620, 622, 623, 657, 658, 659, 660, 661, 662, 667, 671, 672, 673, 674, 675, 676, 690, 694, 699, 702, 703

B grade: { 10, 11, 13, 19, 20, 21, 22, 40, 160, 165, 167, 169, 174, 176, 178, 195, 379 }

C grade: { }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 100, 106, 108, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 130, 131, 134, 136, 137, 138, 139, 141, 142, 143, 144, 145, 149, 150, 151, 152, 153, 154, 155, 157, 159, 161, 162, 163, 164, 166, 168, 170, 171, 172, 173, 175, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 213, 214, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 226, 227, 229, 230, 231, 232, 233, 234, 235, 236, 237, 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, 266, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 295, 296, 297, 298, 301, 303, 305, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 325, 326, 327, 328, 333, 334, 335, 336, 341, 342, 343, 344, 345, 349, 350, 351, 352, 353, 374, 375, 376, 377, 378, 380, 381, 382, 383, 384, 389, 390, 391, 392, 393, 398, 399, 400, 401, 402, 403, 408, 409, 410, 411, 412, 416, 417, 418, 419, 420, 421, 423, 424, 426, 427, 428, 431, 432, 433, 434, 436, 437, 438, 439, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 460, 461, 462, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 487, 488, 489, 492, 493, 494, 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, 533, 534, 535, 536, 537, 538, 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, 601, 603, 610, 612, 619, 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, 663, 664, 665, 666, 668, 669, 670, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 691, 692, 693, 695, 696, 697, 698, 700, 701 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23, 25, 27, 40, 47, 49, 60, 61, 62, 63, 64, 73, 74, 75, 76, 77, 78, 79, 80, 90, 91, 92, 93, 94, 95, 99, 101, 102, 103, 104, 105, 107, 109, 111, 113, 116, 118, 119, 121, 123, 130, 132, 134, 146, 147, 148, 156, 157, 158, 159, 160, 165, 166, 167, 168, 169, 174, 175, 176, 177, 178, 195, 202, 204, 210, 212, 218, 220, 226, 228, 234, 236, 238, 264, 265, 266, 267, 268, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 302, 303, 304, 305, 306, 307, 314, 315, 321, 322, 323, 324, 329, 330, 331, 332, 337, 338, 339, 340, 346, 347, 348, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 377, 378, 379, 380, 385, 386, 387, 388, 389, 394, 395, 396, 397, 398, 403, 404, 405, 406, 407, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 457, 462, 474, 479, 485, 486, 490, 491, 495, 496, 497, 501, 502, 503, 509, 526, 527, 531, 536, 537, 577, 582, 587, 596, 597, 598, 599, 600, 602, 604, 605, 606, 607, 608, 609, 611, 613, 614, 615, 616, 617, 618, 620, 622, 623, 649, 650, 657, 658, 659, 660, 661, 662, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 680, 681, 682, 683, 684, 685 }

B grade: { 59, 634, 642, 643, 651, 652, 653 }

C grade: { }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 65, 66, 67, 68, 69, 70, 71, 72, 81, 82, 83, 84, 85, 86, 87, 88, 89, 96, 97, 98, 100, 106, 108, 110, 112, 114, 115, 117, 120, 122, 124, 125, 126, 127, 128, 129, 131, 133, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 149, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 170, 171, 172, 173, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 203, 205, 206, 207, 208, 209, 211, 213, 214, 215, 216, 217, 219, 221, 222, 223, 224, 225, 227, 229, 230, 231, 232, 233, 235, 237, 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, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 325, 326, 327, 328, 333, 334, 335, 336, 341, 342, 343, 344, 345, 349, 350, 351, 352, 353, 374, 375, 376, 381, 382, 383, 384, 390, 391, 392, 393, 399, 400, 401, 402, 408, 409, 410, 411, 412, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 458, 459, 460, 461, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 475, 476, 477, 478, 480, 481, 482, 483, 484, 487, 488, 489, 492, 493, 494, 498, 499, 500, 504, 505, 506, 507, 508, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 528, 529, 530, 532, 533, 534, 535, 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, 578, 579, 580, 581, 583, 584, 585, 586, 588, 589, 590, 591, 592, 593, 594, 595, 601, 603, 610, 612, 619, 621, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 635, 636, 637, 638, 639, 640, 641, 644, 645, 646, 647, 648, 654, 655, 656, 663, 668, 669, 670, 677, 678, 679, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23, 25, 27, 99, 101, 102, 103, 104, 105, 146, 147, 156, 157, 158, 159, 160, 165, 166, 167, 168, 169, 174, 175, 176, 177, 178, 264, 265, 266, 267, 268, 279, 280, 285, 286, 288, 289, 290, 291, 302, 303, 304, 305, 306, 307, 314, 315, 321, 322, 323, 324, 329, 330, 331, 332, 346, 347, 348, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 373, 377, 378, 380, 385, 386, 387, 388, 394, 395, 396, 407, 414, 415, 417, 418, 419, 420, 421, 424, 425, 426, 427, 430, 435, 440, 445, 458, 469, 485, 486, 497, 501, 502, 503, 596, 597, 598, 599, 600, 602, 604, 605, 606, 607, 608, 609, 611, 613, 614, 615, 616, 617, 618, 620, 622, 623, 649, 650, 657, 659, 660, 661, 662, 664, 665, 666, 671, 673, 674, 675, 676, 682, 683, 684, 689, 690, 693, 698, 702 }

B grade: { }

C grade: { }

F grade: { 6, 8, 15, 17, 24, 26, 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, 100, 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, 148, 149, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 170, 171, 172, 173, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 281, 282, 283, 284, 287, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 325, 326, 327, 328, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 349, 350, 351, 352, 353, 354, 367, 372, 374, 375, 376, 379, 381, 382, 383, 384, 389, 390, 391, 392, 393, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 408, 409, 410, 411, 412, 413, 416, 422, 423, 428, 429, 431, 432, 433, 434, 436, 437, 438, 439, 441, 442, 443, 444, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 498, 499, 500, 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, 601, 603, 610, 612, 619, 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, 651, 652, 653, 654, 655, 656, 658, 663, 667, 668, 669, 670, 672, 677, 678, 679, 680, 681, 685, 686, 687, 688, 691, 692, 694, 695, 696, 697, 699, 700, 701, 703 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 40, 47, 99, 101, 102, 103, 104, 105, 140, 146, 147, 148, 156, 158, 159, 160, 166, 168, 169, 175, 177, 264, 265, 266, 267, 268, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 302, 303, 304, 305, 306, 307, 311, 312, 313, 314, 315, 319, 320, 321, 322, 323, 324, 328, 329, 330, 331, 332, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 353, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 380, 385, 386, 387, 388, 389, 394, 395, 396, 397, 398, 403, 404, 405, 406, 407, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 425, 427, 430, 435, 440, 445, 446, 450, 454, 457, 458, 459, 462, 463, 469, 470, 475, 476, 480, 481, 485, 486, 490, 491, 495, 496, 501, 502, 503, 599, 600, 609, 649, 650, 657, 658, 662, 664, 665, 666, 667, 668, 669, 670, 671, 673, 674, 675, 676, 680, 682, 683, 684, 685, 689, 693, 698, 702 }

B grade: { 7, 9, 16, 25, 49, 107, 157, 165, 167, 174, 176, 178, 195, 202, 204, 316, 317, 318, 325, 326, 327, 333, 334, 335, 336, 349, 381, 382, 383, 384, 390, 391, 392, 393, 399, 400, 401, 402, 408, 409, 410, 411, 412, 577, 582, 596, 597, 598, 602, 604, 605, 606, 607, 608, 611, 613, 614, 615, 616, 617, 618, 620, 623, 659, 660, 661, 677, 678, 679 }

C grade: { 354, 464, 686, 687, 688, 691, 692, 695, 696, 697 }

F grade: { 6, 8, 15, 17, 18, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 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, 100, 106, 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, 141, 142, 143, 144, 145, 149, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 170, 171, 172, 173, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 203, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 308, 309, 310, 379, 424, 426, 428, 429, 431, 432, 433, 434, 436, 437, 438, 439, 441, 442, 443, 444, 447, 448, 449, 451, 452, 453, 455, 456, 460, 461, 465, 466, 467, 468, 471, 472, 473, 474, 477, 478, 479, 482, 483, 484, 487, 488, 489, 492, 493, 494, 497, 498, 499, 500, 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, 578, 579, 580, 581, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 601, 603, 610, 612, 619, 621, 622, 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, 651, 652, 653, 654, 655, 656, 663, 672, 681, 690, 694, 699, 700, 701, 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 A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 87 130 255 244 151 263
normalized size 1 1. 0.68 1.02 1.99 1.91 1.18 2.05
time (sec) N/A 0.12 0.136 0.008 1.621 2.14 12.675 1.427


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 89 118 261 221 138 220
normalized size 1 1. 0.72 0.96 2.12 1.8 1.12 1.79
time (sec) N/A 0.096 0.09 0.008 1.529 2.041 13.766 1.375


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 85 110 200 213 126 192
normalized size 1 1. 0.81 1.05 1.9 2.03 1.2 1.83
time (sec) N/A 0.103 0.096 0.006 1.522 2.148 3.554 1.35


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 77 98 205 200 117 124
normalized size 1 1. 0.86 1.09 2.28 2.22 1.3 1.38
time (sec) N/A 0.042 0.086 0.004 1.583 2.171 7.073 1.353


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 88 82 131 163 90 108
normalized size 1 1. 1.14 1.06 1.7 2.12 1.17 1.4
time (sec) N/A 0.061 0.069 0.006 1.688 2.166 3.523 1.325


















Problem 6 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 121 121 99 178 0 0 0 0
normalized size 1 1. 0.82 1.47 0. 0. 0. 0.
time (sec) N/A 0.116 0.119 0.158 0. 0. 0. 0.


















Problem 7 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 69 69 78 67 111 236 82 1156
normalized size 1 1. 1.13 0.97 1.61 3.42 1.19 16.75
time (sec) N/A 0.076 0.036 0.007 1.566 2.566 5.354 6.151


















Problem 8 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 139 139 110 195 0 0 0 0
normalized size 1 1. 0.79 1.4 0. 0. 0. 0.
time (sec) N/A 0.121 0.105 0.23 0. 0. 0. 0.


















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 81 81 93 91 166 259 178 400
normalized size 1 1. 1.15 1.12 2.05 3.2 2.2 4.94
time (sec) N/A 0.086 0.04 0.011 1.607 2.958 7.588 22.481


















Problem 10 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 186 186 119 172 443 366 230 383
normalized size 1 1. 0.64 0.92 2.38 1.97 1.24 2.06
time (sec) N/A 0.207 0.107 0.01 1.576 2.567 34.093 1.304


















Problem 11 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 184 184 115 160 451 351 218 286
normalized size 1 1. 0.62 0.87 2.45 1.91 1.18 1.55
time (sec) N/A 0.17 0.1 0.007 1.584 2.537 20.734 1.274


















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 161 161 111 152 360 329 202 306
normalized size 1 1. 0.69 0.94 2.24 2.04 1.25 1.9
time (sec) N/A 0.17 0.092 0.006 1.587 2.554 14.912 1.305


















Problem 13 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 124 124 94 140 369 306 190 182
normalized size 1 1. 0.76 1.13 2.98 2.47 1.53 1.47
time (sec) N/A 0.065 0.064 0.006 1.691 2.155 7.703 1.274


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 95 122 265 274 165 213
normalized size 1 1. 0.73 0.93 2.02 2.09 1.26 1.63
time (sec) N/A 0.104 0.092 0.004 1.71 2.092 4.835 1.212


















Problem 15 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 184 184 142 250 0 0 0 0
normalized size 1 1. 0.77 1.36 0. 0. 0. 0.
time (sec) N/A 0.202 0.161 0.219 0. 0. 0. 0.


















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 123 123 126 117 216 343 182 3668
normalized size 1 1. 1.02 0.95 1.76 2.79 1.48 29.82
time (sec) N/A 0.155 0.09 0.007 1.562 2.464 10.357 31.369


















Problem 17 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 201 201 162 278 0 0 0 0
normalized size 1 1. 0.81 1.38 0. 0. 0. 0.
time (sec) N/A 0.208 0.167 0.375 0. 0. 0. 0.


















Problem 18 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 128 128 136 115 230 358 235 0
normalized size 1 1. 1.06 0.9 1.8 2.8 1.84 0.
time (sec) N/A 0.162 0.093 0.01 1.585 2.529 12.142 0.


















Problem 19 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 232 232 143 214 647 489 289 477
normalized size 1 1. 0.62 0.92 2.79 2.11 1.25 2.06
time (sec) N/A 0.291 0.189 0.016 1.579 2.218 91.578 1.289


















Problem 20 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 206 206 139 202 657 454 280 331
normalized size 1 1. 0.67 0.98 3.19 2.2 1.36 1.61
time (sec) N/A 0.179 0.189 0.013 1.649 2.085 69.103 1.267


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 135 194 537 428 265 400
normalized size 1 1. 0.65 0.94 2.59 2.07 1.28 1.93
time (sec) N/A 0.258 0.162 0.006 1.641 2.263 26.984 1.203


















Problem 22 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 150 150 110 182 548 404 253 227
normalized size 1 1. 0.73 1.21 3.65 2.69 1.69 1.51
time (sec) N/A 0.076 0.081 0.004 1.771 2.122 17.473 1.25


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 119 164 414 367 221 302
normalized size 1 1. 0.68 0.94 2.37 2.1 1.26 1.73
time (sec) N/A 0.171 0.205 0.004 1.636 2.199 20.578 1.235


















Problem 24 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 235 235 183 302 0 0 0 0
normalized size 1 1. 0.78 1.29 0. 0. 0. 0.
time (sec) N/A 0.283 0.21 0.275 0. 0. 0. 0.


















Problem 25 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 164 164 166 155 338 427 287 7443
normalized size 1 1. 1.01 0.95 2.06 2.6 1.75 45.38
time (sec) N/A 0.231 0.112 0.006 1.6 2.815 40.478 145.438


















Problem 26 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 263 263 203 330 0 0 0 0
normalized size 1 1. 0.77 1.25 0. 0. 0. 0.
time (sec) N/A 0.298 0.178 0.473 0. 0. 0. 0.


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 175 161 327 440 326 0
normalized size 1 1. 0.98 0.9 1.84 2.47 1.83 0.
time (sec) N/A 0.251 0.153 0.01 1.568 2.804 17.558 0.


















Problem 28 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 172 172 286 270 0 0 0 0
normalized size 1 1. 1.66 1.57 0. 0. 0. 0.
time (sec) N/A 0.238 0.305 0.253 0. 0. 0. 0.


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 294 181 0 0 0 0
normalized size 1 1. 2.04 1.26 0. 0. 0. 0.
time (sec) N/A 0.188 0.125 0.148 0. 0. 0. 0.


















Problem 30 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 124 124 238 218 0 0 0 0
normalized size 1 1. 1.92 1.76 0. 0. 0. 0.
time (sec) N/A 0.137 0.102 0.096 0. 0. 0. 0.


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 244 118 0 0 0 0
normalized size 1 1. 2.98 1.44 0. 0. 0. 0.
time (sec) N/A 0.105 0.076 0.042 0. 0. 0. 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 207 426 0 0 0 0
normalized size 1 1. 2.46 5.07 0. 0. 0. 0.
time (sec) N/A 0.067 0.23 0.102 0. 0. 0. 0.


















Problem 33 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 71 71 105 215 0 0 0 0
normalized size 1 1. 1.48 3.03 0. 0. 0. 0.
time (sec) N/A 0.11 0.076 0.073 0. 0. 0. 0.


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 259 236 0 0 0 0
normalized size 1 1. 2.23 2.03 0. 0. 0. 0.
time (sec) N/A 0.151 0.344 0.133 0. 0. 0. 0.


















Problem 35 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 124 124 149 296 0 0 0 0
normalized size 1 1. 1.2 2.39 0. 0. 0. 0.
time (sec) N/A 0.187 0.334 0.171 0. 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 173 173 350 303 0 0 0 0
normalized size 1 1. 2.02 1.75 0. 0. 0. 0.
time (sec) N/A 0.244 0.147 0.177 0. 0. 0. 0.


















Problem 37 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 187 187 332 305 0 0 0 0
normalized size 1 1. 1.78 1.63 0. 0. 0. 0.
time (sec) N/A 0.237 0.453 0.267 0. 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 155 155 334 251 0 0 0 0
normalized size 1 1. 2.15 1.62 0. 0. 0. 0.
time (sec) N/A 0.184 0.52 0.263 0. 0. 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 463 263 0 0 0 0
normalized size 1 1. 3.22 1.83 0. 0. 0. 0.
time (sec) N/A 0.136 0.173 0.171 0. 0. 0. 0.


















Problem 40 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 57 57 50 98 225 115 0 120
normalized size 1 1. 0.88 1.72 3.95 2.02 0. 2.11
time (sec) N/A 0.048 0.047 0.011 1.742 2.042 0. 1.409


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 334 260 0 0 0 0
normalized size 1 1. 2.37 1.84 0. 0. 0. 0.
time (sec) N/A 0.096 0.808 0.087 0. 0. 0. 0.


















Problem 42 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 122 122 153 335 0 0 0 0
normalized size 1 1. 1.25 2.75 0. 0. 0. 0.
time (sec) N/A 0.173 0.357 0.169 0. 0. 0. 0.


















Problem 43 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 186 186 348 330 0 0 0 0
normalized size 1 1. 1.87 1.77 0. 0. 0. 0.
time (sec) N/A 0.193 0.798 0.193 0. 0. 0. 0.


















Problem 44 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 159 159 213 367 0 0 0 0
normalized size 1 1. 1.34 2.31 0. 0. 0. 0.
time (sec) N/A 0.264 0.722 0.184 0. 0. 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 259 285 426 426 0 0 0 0
normalized size 1 1.1 1.64 1.64 0. 0. 0. 0.
time (sec) N/A 0.308 0.929 0.23 0. 0. 0. 0.


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 445 389 0 0 0 0
normalized size 1 1. 2.18 1.91 0. 0. 0. 0.
time (sec) N/A 0.241 1.071 0.378 0. 0. 0. 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 79 212 0 188 0 167
normalized size 1 1. 0.79 2.12 0. 1.88 0. 1.67
time (sec) N/A 0.084 0.073 0.02 0. 2.097 0. 1.368


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 445 386 0 0 0 0
normalized size 1 1. 2.2 1.91 0. 0. 0. 0.
time (sec) N/A 0.184 0.707 0.3 0. 0. 0. 0.


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 62 151 0 186 0 232
normalized size 1 1. 0.75 1.82 0. 2.24 0. 2.8
time (sec) N/A 0.054 0.101 0.01 0. 2.27 0. 1.325


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 501 384 0 0 0 0
normalized size 1 1. 2.56 1.96 0. 0. 0. 0.
time (sec) N/A 0.134 1.544 0.145 0. 0. 0. 0.


















Problem 51 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 173 173 201 503 0 0 0 0
normalized size 1 1. 1.16 2.91 0. 0. 0. 0.
time (sec) N/A 0.252 0.936 0.199 0. 0. 0. 0.


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 242 242 512 461 0 0 0 0
normalized size 1 1. 2.12 1.9 0. 0. 0. 0.
time (sec) N/A 0.242 1.512 0.223 0. 0. 0. 0.


















Problem 53 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 248 248 256 635 0 0 0 0
normalized size 1 1. 1.03 2.56 0. 0. 0. 0.
time (sec) N/A 0.346 1.479 0.264 0. 0. 0. 0.


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 317 369 587 576 0 0 0 0
normalized size 1 1.16 1.85 1.82 0. 0. 0. 0.
time (sec) N/A 0.382 1.52 0.304 0. 0. 0. 0.


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 169 482 0 0 0 0
normalized size 1 1. 0.65 1.84 0. 0. 0. 0.
time (sec) N/A 0.282 0.124 0.448 0. 0. 0. 0.


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 140 373 0 0 0 0
normalized size 1 1. 0.74 1.97 0. 0. 0. 0.
time (sec) N/A 0.191 0.096 0.206 0. 0. 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 111 260 0 0 0 0
normalized size 1 1. 0.96 2.24 0. 0. 0. 0.
time (sec) N/A 0.055 0.05 0.112 0. 0. 0. 0.


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 142 308 0 0 0 0
normalized size 1 1. 1.29 2.8 0. 0. 0. 0.
time (sec) N/A 0.11 0.328 0.172 0. 0. 0. 0.


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 134 1117 0 883 0 0
normalized size 1 1. 1.21 10.06 0. 7.95 0. 0.
time (sec) N/A 0.093 0.133 0.243 0. 2.6 0. 0.


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 162 1902 0 1056 0 0
normalized size 1 1. 0.87 10.17 0. 5.65 0. 0.
time (sec) N/A 0.134 0.138 0.302 0. 2.713 0. 0.


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 187 2748 0 1218 0 0
normalized size 1 1. 0.71 10.45 0. 4.63 0. 0.
time (sec) N/A 0.169 0.159 0.361 0. 3.317 0. 0.


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 157 953 0 393 0 0
normalized size 1 1. 0.61 3.72 0. 1.54 0. 0.
time (sec) N/A 0.208 0.164 0.4 0. 2.441 0. 0.


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 134 617 0 319 0 0
normalized size 1 1. 0.73 3.37 0. 1.74 0. 0.
time (sec) N/A 0.168 0.085 0.277 0. 2.444 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 70 343 101 248 0 0
normalized size 1 1. 0.64 3.12 0.92 2.25 0. 0.
time (sec) N/A 0.068 0.084 0.137 1.68 2.322 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 187 413 0 0 0 0
normalized size 1 1. 0.92 2.03 0. 0. 0. 0.
time (sec) N/A 0.21 0.518 0.154 0. 0. 0. 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 239 462 0 0 0 0
normalized size 1 1. 1.06 2.05 0. 0. 0. 0.
time (sec) N/A 0.208 2.028 0.222 0. 0. 0. 0.


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 301 301 321 571 0 0 0 0
normalized size 1 1. 1.07 1.9 0. 0. 0. 0.
time (sec) N/A 0.294 3.932 0.293 0. 0. 0. 0.


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 193 600 0 0 0 0
normalized size 1 1. 0.57 1.76 0. 0. 0. 0.
time (sec) N/A 0.405 0.192 0.339 0. 0. 0. 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 170 489 0 0 0 0
normalized size 1 1. 0.64 1.85 0. 0. 0. 0.
time (sec) N/A 0.32 0.159 0.28 0. 0. 0. 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 210 371 0 0 0 0
normalized size 1 1. 1.12 1.97 0. 0. 0. 0.
time (sec) N/A 0.105 0.55 0.14 0. 0. 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 222 464 0 0 0 0
normalized size 1 1. 1.2 2.51 0. 0. 0. 0.
time (sec) N/A 0.168 0.537 0.201 0. 0. 0. 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 211 1289 0 0 0 0
normalized size 1 1. 1.1 6.75 0. 0. 0. 0.
time (sec) N/A 0.229 0.738 0.251 0. 0. 0. 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 144 2350 0 1103 0 0
normalized size 1 1. 0.94 15.26 0. 7.16 0. 0.
time (sec) N/A 0.114 0.17 0.283 0. 2.515 0. 0.


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 173 3383 0 1296 0 0
normalized size 1 1. 0.75 14.65 0. 5.61 0. 0.
time (sec) N/A 0.164 0.182 0.361 0. 2.577 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 197 4560 0 1517 0 0
normalized size 1 1. 0.64 14.81 0. 4.93 0. 0.
time (sec) N/A 0.213 0.257 0.457 0. 2.658 0. 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 221 5881 0 1702 0 0
normalized size 1 1. 0.57 15.28 0. 4.42 0. 0.
time (sec) N/A 0.301 0.24 0.598 0. 2.968 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 375 174 1781 0 613 0 0
normalized size 1 1. 0.46 4.75 0. 1.63 0. 0.
time (sec) N/A 0.293 0.187 0.585 0. 1.96 0. 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 150 1327 0 513 0 0
normalized size 1 1. 0.5 4.41 0. 1.7 0. 0.
time (sec) N/A 0.238 0.158 0.41 0. 1.915 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 126 931 0 427 0 0
normalized size 1 1. 0.56 4.1 0. 1.88 0. 0.
time (sec) N/A 0.2 0.129 0.264 0. 1.933 0. 0.


















Problem 80 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 153 153 84 597 117 344 0 0
normalized size 1 1. 0.55 3.9 0.76 2.25 0. 0.
time (sec) N/A 0.087 0.056 0.175 1.576 2.274 0. 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 278 525 0 0 0 0
normalized size 1 1. 1. 1.89 0. 0. 0. 0.
time (sec) N/A 0.327 1.077 0.187 0. 0. 0. 0.


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 297 297 389 574 0 0 0 0
normalized size 1 1. 1.31 1.93 0. 0. 0. 0.
time (sec) N/A 0.33 2.093 0.227 0. 0. 0. 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 307 307 494 601 0 0 0 0
normalized size 1 1. 1.61 1.96 0. 0. 0. 0.
time (sec) N/A 0.324 5.753 0.273 0. 0. 0. 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 430 430 220 735 0 0 0 0
normalized size 1 1. 0.51 1.71 0. 0. 0. 0.
time (sec) N/A 0.553 0.237 0.471 0. 0. 0. 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 196 620 0 0 0 0
normalized size 1 1. 0.56 1.77 0. 0. 0. 0.
time (sec) N/A 0.473 0.198 0.313 0. 0. 0. 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 266 495 0 0 0 0
normalized size 1 1. 1. 1.87 0. 0. 0. 0.
time (sec) N/A 0.157 0.912 0.186 0. 0. 0. 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 257 593 0 0 0 0
normalized size 1 1. 0.96 2.21 0. 0. 0. 0.
time (sec) N/A 0.24 0.888 0.25 0. 0. 0. 0.


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 243 1527 0 0 0 0
normalized size 1 1. 0.88 5.51 0. 0. 0. 0.
time (sec) N/A 0.304 1.514 0.295 0. 0. 0. 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 234 2615 0 0 0 0
normalized size 1 1. 0.84 9.44 0. 0. 0. 0.
time (sec) N/A 0.354 1.265 0.319 0. 0. 0. 0.


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 156 4031 0 1368 0 0
normalized size 1 1. 0.77 19.86 0. 6.74 0. 0.
time (sec) N/A 0.125 0.212 0.36 0. 2.916 0. 0.


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 184 5323 0 1609 0 0
normalized size 1 1. 0.65 18.88 0. 5.71 0. 0.
time (sec) N/A 0.179 0.218 0.477 0. 3.124 0. 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 361 209 6758 0 1871 0 0
normalized size 1 1. 0.58 18.72 0. 5.18 0. 0.
time (sec) N/A 0.223 0.237 0.648 0. 3.61 0. 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 354 354 160 1775 0 666 0 0
normalized size 1 1. 0.45 5.01 0. 1.88 0. 0.
time (sec) N/A 0.246 0.2 0.47 0. 2.314 0. 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 137 1063 0 548 0 0
normalized size 1 1. 0.49 3.82 0. 1.97 0. 0.
time (sec) N/A 0.203 0.167 0.311 0. 2.253 0. 0.


















Problem 95 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 202 202 93 921 132 448 0 0
normalized size 1 1. 0.46 4.56 0.65 2.22 0. 0.
time (sec) N/A 0.091 0.069 0.223 1.654 2.253 0. 0.


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 361 361 394 652 0 0 0 0
normalized size 1 1. 1.09 1.81 0. 0. 0. 0.
time (sec) N/A 0.463 1.715 0.237 0. 0. 0. 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 386 386 484 704 0 0 0 0
normalized size 1 1. 1.25 1.82 0. 0. 0. 0.
time (sec) N/A 0.458 5.3 0.273 0. 0. 0. 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 389 389 640 727 0 0 0 0
normalized size 1 1. 1.65 1.87 0. 0. 0. 0.
time (sec) N/A 0.455 6.132 0.312 0. 0. 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 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 0.031 0.008 0.044 1.57 2.085 22.196 1.195


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 116 87 101 0 0 0 0
normalized size 1 1.71 1.28 1.49 0. 0. 0. 0.
time (sec) N/A 0.059 0.051 0.043 0. 0. 0. 0.


















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 88 88 64 74 140 142 82 123
normalized size 1 1. 0.73 0.84 1.59 1.61 0.93 1.4
time (sec) N/A 0.152 0.034 0.057 1.626 2.084 2.88 1.277


















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 72 72 49 95 82 103 65 72
normalized size 1 1. 0.68 1.32 1.14 1.43 0.9 1.
time (sec) N/A 0.107 0.025 0.046 1.568 2.076 1.577 1.222


















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 50 50 43 40 101 100 42 72
normalized size 1 1. 0.86 0.8 2.02 2. 0.84 1.44
time (sec) N/A 0.082 0.011 0.046 1.589 2.048 0.932 1.382


















Problem 104 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 29 29 29 62 36 59 24 36
normalized size 1 1. 1. 2.14 1.24 2.03 0.83 1.24
time (sec) N/A 0.041 0.008 0.038 1.539 2.133 0.522 1.402


















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 13 13 13 12 15 28 10 15
normalized size 1 1. 1. 0.92 1.15 2.15 0.77 1.15
time (sec) N/A 0.02 0.005 0.004 1.585 1.953 0.439 1.27


















Problem 106 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 52 52 71 103 0 0 0 0
normalized size 1 1. 1.37 1.98 0. 0. 0. 0.
time (sec) N/A 0.084 0.092 0.085 0. 0. 0. 0.


















Problem 107 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 28 28 28 32 35 66 0 99
normalized size 1 1. 1. 1.14 1.25 2.36 0. 3.54
time (sec) N/A 0.061 0.024 0.045 1.573 2.198 0. 1.388


















Problem 108 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 98 98 137 178 0 0 0 0
normalized size 1 1. 1.4 1.82 0. 0. 0. 0.
time (sec) N/A 0.147 0.838 0.172 0. 0. 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 119 665 0 328 0 0
normalized size 1 1. 0.53 2.97 0. 1.46 0. 0.
time (sec) N/A 0.265 0.072 0.369 0. 2.158 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 161 400 0 0 0 0
normalized size 1 1. 0.8 2. 0. 0. 0. 0.
time (sec) N/A 0.25 0.805 0.332 0. 0. 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 92 381 0 255 0 0
normalized size 1 1. 0.62 2.57 0. 1.72 0. 0.
time (sec) N/A 0.159 0.052 0.24 0. 1.839 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 134 285 0 0 0 0
normalized size 1 1. 1.08 2.3 0. 0. 0. 0.
time (sec) N/A 0.146 1.031 0.186 0. 0. 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 64 159 78 188 0 0
normalized size 1 1. 0.96 2.37 1.16 2.81 0. 0.
time (sec) N/A 0.061 0.032 0.093 1.681 1.802 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 50 86 0 0 0 0
normalized size 1 1. 1.02 1.76 0. 0. 0. 0.
time (sec) N/A 0.051 0.062 0.038 0. 0. 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 145 145 146 180 0 0 0 0
normalized size 1 1. 1.01 1.24 0. 0. 0. 0.
time (sec) N/A 0.194 0.29 0.101 0. 0. 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 69 216 0 487 0 0
normalized size 1 1. 1.05 3.27 0. 7.38 0. 0.
time (sec) N/A 0.09 0.124 0.148 0. 2.098 0. 0.


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 244 461 0 0 0 0
normalized size 1 1. 1.07 2.01 0. 0. 0. 0.
time (sec) N/A 0.299 2.299 0.221 0. 0. 0. 0.


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 152 849 0 895 0 0
normalized size 1 1. 1.03 5.78 0. 6.09 0. 0.
time (sec) N/A 0.188 0.203 0.237 0. 2.251 0. 0.


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 229 166 423 0 942 0 0
normalized size 1 1.04 0.75 1.91 0. 4.26 0. 0.
time (sec) N/A 0.291 0.289 0.334 0. 2.229 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 173 436 0 0 0 0
normalized size 1 1. 0.81 2.04 0. 0. 0. 0.
time (sec) N/A 0.287 0.468 0.301 0. 0. 0. 0.


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 146 136 306 0 810 0 0
normalized size 1 1.03 0.96 2.15 0. 5.7 0. 0.
time (sec) N/A 0.18 0.207 0.214 0. 2.119 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 160 274 0 0 0 0
normalized size 1 1. 1.19 2.03 0. 0. 0. 0.
time (sec) N/A 0.159 0.196 0.164 0. 0. 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 194 0 595 0 0
normalized size 1 1. 0.7 2.66 0. 8.15 0. 0.
time (sec) N/A 0.07 0.027 0.095 0. 2.115 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 77 177 93 0 0 0
normalized size 1 1. 0.96 2.21 1.16 0. 0. 0.
time (sec) N/A 0.036 0.203 0.086 1.702 0. 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 300 344 0 0 0 0
normalized size 1 1. 1.36 1.56 0. 0. 0. 0.
time (sec) N/A 0.311 0.998 0.132 0. 0. 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 117 239 0 0 0 0
normalized size 1 1. 0.78 1.59 0. 0. 0. 0.
time (sec) N/A 0.155 0.228 0.147 0. 0. 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 404 474 0 0 0 0
normalized size 1 1. 1.28 1.5 0. 0. 0. 0.
time (sec) N/A 0.441 2.12 0.23 0. 0. 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 162 1045 0 0 0 0
normalized size 1 1. 0.68 4.39 0. 0. 0. 0.
time (sec) N/A 0.292 0.312 0.25 0. 0. 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 253 1716 0 0 0 0
normalized size 1 1. 0.86 5.86 0. 0. 0. 0.
time (sec) N/A 0.443 0.634 0.403 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 234 169 459 0 1045 0 0
normalized size 1 1.07 0.77 2.1 0. 4.77 0. 0.
time (sec) N/A 0.316 0.307 0.316 0. 2.424 0. 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 213 1510 0 0 0 0
normalized size 1 1. 1. 7.12 0. 0. 0. 0.
time (sec) N/A 0.302 0.424 0.277 0. 0. 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 155 143 307 216 913 0 0
normalized size 1 1.03 0.95 2.05 1.44 6.09 0. 0.
time (sec) N/A 0.197 0.229 0.218 1.621 2.3 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 103 1219 207 0 0 0
normalized size 1 1. 0.82 9.75 1.66 0. 0. 0.
time (sec) N/A 0.131 0.193 0.204 1.674 0. 0. 0.


















Problem 134 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 119 119 85 259 0 815 0 0
normalized size 1 1. 0.71 2.18 0. 6.85 0. 0.
time (sec) N/A 0.081 0.046 0.13 0. 2.198 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 113 1071 190 0 0 0
normalized size 1 1. 0.73 6.95 1.23 0. 0. 0.
time (sec) N/A 0.079 0.238 0.125 1.769 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 291 291 456 449 0 0 0 0
normalized size 1 1. 1.57 1.54 0. 0. 0. 0.
time (sec) N/A 0.437 2.001 0.154 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 188 1346 0 0 0 0
normalized size 1 1. 0.84 6.01 0. 0. 0. 0.
time (sec) N/A 0.22 0.297 0.204 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 433 537 624 0 0 0 0
normalized size 1 1. 1.24 1.44 0. 0. 0. 0.
time (sec) N/A 0.582 7.483 0.279 0. 0. 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 213 1875 0 0 0 0
normalized size 1 1. 0.69 6.05 0. 0. 0. 0.
time (sec) N/A 0.387 0.345 0.261 0. 0. 0. 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 111 409 209 0 0 173
normalized size 1 1. 0.53 1.95 1. 0. 0. 0.82
time (sec) N/A 0.115 0.216 0.217 1.706 0. 0. 1.431


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 68 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.051 0.247 0. 0. 0. 0.


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 97 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.216 0.042 0.529 0. 0. 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 256 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 2.164 0.55 8.282 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 187 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.306 0.015 5.034 0. 0. 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 118 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.082 2.898 0. 0. 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 3.924 0.539 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 116 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.155 5.701 0.54 0. 0. 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 207 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.248 6.113 0.606 0. 0. 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 635 635 338 0 0 0 0 0
normalized size 1 1. 0.53 0. 0. 0. 0. 0.
time (sec) N/A 0.559 1.316 4.455 0. 0. 0. 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 399 399 237 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.332 0.604 2.572 0. 0. 0. 0.


















Problem 151 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 245 245 181 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.073 1.957 0. 0. 0. 0.


















Problem 152 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 163 163 129 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.197 0.063 0.905 0. 0. 0. 0.


















Problem 153 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 272 272 207 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.315 0.247 0.575 0. 0. 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 408 408 279 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.455 0.381 0.602 0. 0. 0. 0.


















Problem 155 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 100 100 95 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.037 0.513 0. 0. 0. 0.


















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 290 290 203 276 612 559 388 668
normalized size 1 1. 0.7 0.95 2.11 1.93 1.34 2.3
time (sec) N/A 0.461 0.265 0.111 1.68 1.895 17.71 1.469


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 192 306 0 470 332 535
normalized size 1 1. 0.95 1.51 0. 2.33 1.64 2.65
time (sec) N/A 0.537 0.162 0.044 0. 1.903 12.183 1.372


















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 211 211 179 280 478 456 313 481
normalized size 1 1. 0.85 1.33 2.27 2.16 1.48 2.28
time (sec) N/A 0.337 0.219 0.087 1.658 1.8 6.337 1.514


















Problem 159 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 138 138 157 206 0 396 269 321
normalized size 1 1. 1.14 1.49 0. 2.87 1.95 2.33
time (sec) N/A 0.133 0.288 0.078 0. 1.94 4.003 1.451


















Problem 160 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 128 128 137 173 315 335 224 265
normalized size 1 1. 1.07 1.35 2.46 2.62 1.75 2.07
time (sec) N/A 0.137 0.203 0.033 1.677 1.817 1.745 1.454


















Problem 161 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 178 178 236 459 0 0 0 0
normalized size 1 1. 1.33 2.58 0. 0. 0. 0.
time (sec) N/A 0.238 0.453 0.229 0. 0. 0. 0.


















Problem 162 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 149 149 203 269 0 0 0 0
normalized size 1 1. 1.36 1.81 0. 0. 0. 0.
time (sec) N/A 0.298 0.41 0.221 0. 0. 0. 0.


















Problem 163 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 193 193 236 564 0 0 0 0
normalized size 1 1. 1.22 2.92 0. 0. 0. 0.
time (sec) N/A 0.287 0.393 0.337 0. 0. 0. 0.


















Problem 164 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 176 176 266 291 0 0 0 0
normalized size 1 1. 1.51 1.65 0. 0. 0. 0.
time (sec) N/A 0.377 0.743 0.361 0. 0. 0. 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 395 253 531 1054 810 563 948
normalized size 1 1. 0.64 1.34 2.67 2.05 1.43 2.4
time (sec) N/A 0.724 0.247 0.159 1.766 1.9 57.558 1.583


















Problem 166 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 302 302 239 424 0 729 515 711
normalized size 1 1. 0.79 1.4 0. 2.41 1.71 2.35
time (sec) N/A 1.008 0.239 0.139 0. 1.882 38.141 1.572


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 229 400 856 697 483 747
normalized size 1 1. 0.74 1.29 2.76 2.25 1.56 2.41
time (sec) N/A 0.571 0.217 0.044 1.868 1.901 19.886 1.47


















Problem 168 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 209 209 209 283 0 609 430 482
normalized size 1 1. 1. 1.35 0. 2.91 2.06 2.31
time (sec) N/A 0.198 0.286 0.038 0. 1.803 13.713 1.485


















Problem 169 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 219 219 193 275 628 560 389 505
normalized size 1 1. 0.88 1.26 2.87 2.56 1.78 2.31
time (sec) N/A 0.256 0.258 0.037 1.758 1.876 7.153 1.446


















Problem 170 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 271 271 353 623 0 0 0 0
normalized size 1 1. 1.3 2.3 0. 0. 0. 0.
time (sec) N/A 0.415 0.479 0.307 0. 0. 0. 0.


















Problem 171 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 249 249 322 417 0 0 0 0
normalized size 1 1. 1.29 1.67 0. 0. 0. 0.
time (sec) N/A 0.493 1.03 0.257 0. 0. 0. 0.


















Problem 172 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 287 287 343 767 0 0 0 0
normalized size 1 1. 1.2 2.67 0. 0. 0. 0.
time (sec) N/A 0.475 0.881 0.525 0. 0. 0. 0.


















Problem 173 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 268 268 374 425 0 0 0 0
normalized size 1 1. 1.4 1.59 0. 0. 0. 0.
time (sec) N/A 0.675 0.822 0.421 0. 0. 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 476 476 301 672 1540 1071 702 1168
normalized size 1 1. 0.63 1.41 3.24 2.25 1.47 2.45
time (sec) N/A 1.018 0.435 0.116 1.949 1.987 123.868 1.441


















Problem 175 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 384 384 287 519 0 938 654 840
normalized size 1 1. 0.75 1.35 0. 2.44 1.7 2.19
time (sec) N/A 1.594 0.438 0.105 0. 2.028 95.649 1.393


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 277 525 1277 903 626 967
normalized size 1 1. 0.71 1.34 3.27 2.31 1.6 2.47
time (sec) N/A 0.823 0.382 0.054 1.822 2.002 55.645 1.417


















Problem 177 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 268 268 257 358 0 799 573 610
normalized size 1 1. 0.96 1.34 0. 2.98 2.14 2.28
time (sec) N/A 0.247 0.337 0.041 0. 2.024 38.386 1.471


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 241 384 984 759 524 713
normalized size 1 1. 0.81 1.29 3.3 2.55 1.76 2.39
time (sec) N/A 0.372 0.431 0.042 1.701 1.931 21.189 1.486


















Problem 179 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 354 354 448 743 0 0 0 0
normalized size 1 1. 1.27 2.1 0. 0. 0. 0.
time (sec) N/A 0.658 0.826 0.382 0. 0. 0. 0.


















Problem 180 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 329 329 483 535 0 0 0 0
normalized size 1 1. 1.47 1.63 0. 0. 0. 0.
time (sec) N/A 0.706 1.25 0.336 0. 0. 0. 0.


















Problem 181 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 371 371 494 888 0 0 0 0
normalized size 1 1. 1.33 2.39 0. 0. 0. 0.
time (sec) N/A 0.723 1.385 0.682 0. 0. 0. 0.


















Problem 182 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 348 348 480 547 0 0 0 0
normalized size 1 1. 1.38 1.57 0. 0. 0. 0.
time (sec) N/A 0.981 0.999 0.526 0. 0. 0. 0.


















Problem 183 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 297 297 508 0 0 0 0 0
normalized size 1 1. 1.71 0. 0. 0. 0. 0.
time (sec) N/A 0.549 0.825 0.418 0. 0. 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 210 210 441 416 0 0 0 0
normalized size 1 1. 2.1 1.98 0. 0. 0. 0.
time (sec) N/A 0.378 0.397 0.243 0. 0. 0. 0.


















Problem 185 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 218 218 317 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 0.287 0.304 0.209 0. 0. 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 117 117 143 258 0 0 0 0
normalized size 1 1. 1.22 2.21 0. 0. 0. 0.
time (sec) N/A 0.172 0.08 0.063 0. 0. 0. 0.


















Problem 187 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 156 156 207 404 0 0 0 0
normalized size 1 1. 1.33 2.59 0. 0. 0. 0.
time (sec) N/A 0.127 0.509 0.106 0. 0. 0. 0.


















Problem 188 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 131 131 254 529 0 0 0 0
normalized size 1 1. 1.94 4.04 0. 0. 0. 0.
time (sec) N/A 0.197 0.195 0.092 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 238 238 391 575 0 0 0 0
normalized size 1 1. 1.64 2.42 0. 0. 0. 0.
time (sec) N/A 0.348 0.714 0.21 0. 0. 0. 0.


















Problem 190 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 210 210 353 793 0 0 0 0
normalized size 1 1. 1.68 3.78 0. 0. 0. 0.
time (sec) N/A 0.383 1.196 0.262 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 333 333 849 725 0 0 0 0
normalized size 1 1. 2.55 2.18 0. 0. 0. 0.
time (sec) N/A 0.654 7.819 0.312 0. 0. 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 300 300 614 705 0 0 0 0
normalized size 1 1. 2.05 2.35 0. 0. 0. 0.
time (sec) N/A 0.525 3.104 0.409 0. 0. 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 502 585 0 0 0 0
normalized size 1 1. 2.21 2.58 0. 0. 0. 0.
time (sec) N/A 0.395 1.059 0.327 0. 0. 0. 0.


















Problem 194 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 233 233 383 599 0 0 0 0
normalized size 1 1. 1.64 2.57 0. 0. 0. 0.
time (sec) N/A 0.299 2.631 0.267 0. 0. 0. 0.


















Problem 195 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 89 89 75 205 495 230 0 275
normalized size 1 1. 0.84 2.3 5.56 2.58 0. 3.09
time (sec) N/A 0.099 0.19 0.03 1.678 2.65 0. 1.56


















Problem 196 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 230 230 359 593 0 0 0 0
normalized size 1 1. 1.56 2.58 0. 0. 0. 0.
time (sec) N/A 0.236 2.604 0.15 0. 0. 0. 0.


















Problem 197 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 211 211 365 829 0 0 0 0
normalized size 1 1. 1.73 3.93 0. 0. 0. 0.
time (sec) N/A 0.365 1.271 0.244 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 1059 778 0 0 0 0
normalized size 1 1. 3.27 2.4 0. 0. 0. 0.
time (sec) N/A 0.563 9.57 0.301 0. 0. 0. 0.


















Problem 199 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 270 270 430 903 0 0 0 0
normalized size 1 1. 1.59 3.34 0. 0. 0. 0.
time (sec) N/A 0.551 1.558 0.246 0. 0. 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 439 439 1514 1019 0 0 0 0
normalized size 1 1. 3.45 2.32 0. 0. 0. 0.
time (sec) N/A 0.949 12.927 0.382 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 343 343 667 903 0 0 0 0
normalized size 1 1. 1.94 2.63 0. 0. 0. 0.
time (sec) N/A 0.536 6.377 0.547 0. 0. 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 192 472 0 421 0 429
normalized size 1 1. 1.12 2.74 0. 2.45 0. 2.49
time (sec) N/A 0.334 0.186 0.353 0. 2.651 0. 2.136


















Problem 203 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 341 341 446 894 0 0 0 0
normalized size 1 1. 1.31 2.62 0. 0. 0. 0.
time (sec) N/A 0.422 4.379 0.437 0. 0. 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 162 335 0 360 0 533
normalized size 1 1. 1.08 2.23 0. 2.4 0. 3.55
time (sec) N/A 0.137 0.197 0.036 0. 2.716 0. 1.465


















Problem 205 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 332 332 556 890 0 0 0 0
normalized size 1 1. 1.67 2.68 0. 0. 0. 0.
time (sec) N/A 0.351 5.804 0.233 0. 0. 0. 0.


















Problem 206 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 296 296 459 1224 0 0 0 0
normalized size 1 1. 1.55 4.14 0. 0. 0. 0.
time (sec) N/A 0.491 3.681 0.31 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 429 429 1351 1093 0 0 0 0
normalized size 1 1. 3.15 2.55 0. 0. 0. 0.
time (sec) N/A 0.759 11.566 0.392 0. 0. 0. 0.


















Problem 208 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 403 403 569 1547 0 0 0 0
normalized size 1 1. 1.41 3.84 0. 0. 0. 0.
time (sec) N/A 0.784 6.613 0.396 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 572 572 1657 1352 0 0 0 0
normalized size 1 1. 2.9 2.36 0. 0. 0. 0.
time (sec) N/A 1.321 12.034 0.494 0. 0. 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 374 374 242 1238 0 610 0 0
normalized size 1 1. 0.65 3.31 0. 1.63 0. 0.
time (sec) N/A 0.47 0.283 0.428 0. 2.671 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 246 812 0 0 0 0
normalized size 1 1. 0.81 2.68 0. 0. 0. 0.
time (sec) N/A 0.384 0.321 0.331 0. 0. 0. 0.


















Problem 212 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 188 188 120 700 254 450 0 0
normalized size 1 1. 0.64 3.72 1.35 2.39 0. 0.
time (sec) N/A 0.159 0.259 0.226 1.688 2.491 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 128 564 0 0 0 0
normalized size 1 1. 0.67 2.94 0. 0. 0. 0.
time (sec) N/A 0.115 0.214 0.169 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 378 378 391 1017 0 0 0 0
normalized size 1 1. 1.03 2.69 0. 0. 0. 0.
time (sec) N/A 0.349 1.116 0.274 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 257 762 0 0 0 0
normalized size 1 1. 1.13 3.36 0. 0. 0. 0.
time (sec) N/A 0.32 0.977 0.27 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 398 398 480 1082 0 0 0 0
normalized size 1 1. 1.21 2.72 0. 0. 0. 0.
time (sec) N/A 0.382 5.063 0.342 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 314 314 248 3017 0 0 0 0
normalized size 1 1. 0.79 9.61 0. 0. 0. 0.
time (sec) N/A 0.272 1.189 0.361 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 503 244 1882 0 853 0 0
normalized size 1 1. 0.49 3.74 0. 1.7 0. 0.
time (sec) N/A 0.78 0.304 0.497 0. 2.794 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 421 421 297 1075 0 0 0 0
normalized size 1 1. 0.71 2.55 0. 0. 0. 0.
time (sec) N/A 0.71 0.313 0.48 0. 0. 0. 0.


















Problem 220 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 279 279 159 1224 319 657 0 0
normalized size 1 1. 0.57 4.39 1.14 2.35 0. 0.
time (sec) N/A 0.228 0.18 0.306 1.678 2.955 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 307 329 820 0 0 0 0
normalized size 1 1.01 1.08 2.69 0. 0. 0. 0.
time (sec) N/A 0.24 1.117 0.243 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 545 545 576 1276 0 0 0 0
normalized size 1 1. 1.06 2.34 0. 0. 0. 0.
time (sec) N/A 0.604 2.482 0.322 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 424 424 396 1148 0 0 0 0
normalized size 1 1. 0.93 2.71 0. 0. 0. 0.
time (sec) N/A 0.404 2.419 0.324 0. 0. 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 590 590 854 1372 0 0 0 0
normalized size 1 1. 1.45 2.33 0. 0. 0. 0.
time (sec) N/A 0.612 7.056 0.398 0. 0. 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 400 400 493 3281 0 0 0 0
normalized size 1 1. 1.23 8.2 0. 0. 0. 0.
time (sec) N/A 0.555 1.82 0.388 0. 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 651 651 270 2146 0 1088 0 0
normalized size 1 1. 0.41 3.3 0. 1.67 0. 0.
time (sec) N/A 1.246 0.417 0.518 0. 2.468 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 556 556 348 1375 0 0 0 0
normalized size 1 1. 0.63 2.47 0. 0. 0. 0.
time (sec) N/A 1.107 0.463 0.571 0. 0. 0. 0.


















Problem 228 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 382 382 216 1888 379 888 0 0
normalized size 1 1. 0.57 4.94 0.99 2.32 0. 0.
time (sec) N/A 0.293 0.324 0.402 1.625 1.979 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 438 438 407 1107 0 0 0 0
normalized size 1 1. 0.93 2.53 0. 0. 0. 0.
time (sec) N/A 0.387 1.818 0.326 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 687 687 775 1574 0 0 0 0
normalized size 1 1. 1.13 2.29 0. 0. 0. 0.
time (sec) N/A 0.886 4.532 0.415 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 561 561 586 1446 0 0 0 0
normalized size 1 1. 1.04 2.58 0. 0. 0. 0.
time (sec) N/A 0.603 2.079 0.411 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 740 740 1073 1674 0 0 0 0
normalized size 1 1. 1.45 2.26 0. 0. 0. 0.
time (sec) N/A 0.955 7.193 0.481 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 591 591 690 3855 0 0 0 0
normalized size 1 1. 1.17 6.52 0. 0. 0. 0.
time (sec) N/A 0.883 3.563 0.465 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 400 400 230 1304 0 628 0 0
normalized size 1 1. 0.57 3.26 0. 1.57 0. 0.
time (sec) N/A 0.583 0.168 0.597 0. 2.005 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 283 871 0 0 0 0
normalized size 1 1. 0.84 2.58 0. 0. 0. 0.
time (sec) N/A 0.484 1.387 0.476 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 176 750 0 456 0 0
normalized size 1 1. 0.64 2.71 0. 1.65 0. 0.
time (sec) N/A 0.329 0.124 0.394 0. 2.019 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 213 210 612 0 0 0 0
normalized size 1 1.03 1.02 2.97 0. 0. 0. 0.
time (sec) N/A 0.269 1.185 0.271 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 86 316 176 312 0 0
normalized size 1 1. 0.59 2.16 1.21 2.14 0. 0.
time (sec) N/A 0.122 0.086 0.142 1.591 1.862 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 64 143 0 0 0 0
normalized size 1 1. 1.31 2.92 0. 0. 0. 0.
time (sec) N/A 0.091 0.168 0.053 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 257 257 301 387 0 0 0 0
normalized size 1 1. 1.17 1.51 0. 0. 0. 0.
time (sec) N/A 0.341 0.614 0.152 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 183 183 159 638 0 0 0 0
normalized size 1 1. 0.87 3.49 0. 0. 0. 0.
time (sec) N/A 0.22 0.385 0.209 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 402 402 487 1107 0 0 0 0
normalized size 1 1. 1.21 2.75 0. 0. 0. 0.
time (sec) N/A 0.519 5.418 0.322 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 269 2320 0 0 0 0
normalized size 1 1. 0.84 7.27 0. 0. 0. 0.
time (sec) N/A 0.39 0.671 0.336 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 549 549 453 1089 0 0 0 0
normalized size 1 1. 0.83 1.98 0. 0. 0. 0.
time (sec) N/A 0.741 0.682 0.546 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 424 424 312 976 0 0 0 0
normalized size 1 1. 0.74 2.3 0. 0. 0. 0.
time (sec) N/A 0.643 2.185 0.546 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 412 412 369 830 0 0 0 0
normalized size 1 1. 0.9 2.01 0. 0. 0. 0.
time (sec) N/A 0.454 0.534 0.346 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 250 250 295 581 0 0 0 0
normalized size 1 1. 1.18 2.32 0. 0. 0. 0.
time (sec) N/A 0.357 0.568 0.237 0. 0. 0. 0.


















Problem 248 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 208 208 276 540 0 0 0 0
normalized size 1 1. 1.33 2.6 0. 0. 0. 0.
time (sec) N/A 0.186 0.542 0.133 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 195 195 165 425 0 0 0 0
normalized size 1 1. 0.85 2.18 0. 0. 0. 0.
time (sec) N/A 0.161 0.502 0.119 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 467 467 667 1096 0 0 0 0
normalized size 1 1. 1.43 2.35 0. 0. 0. 0.
time (sec) N/A 0.573 1.943 0.244 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 333 333 322 807 0 0 0 0
normalized size 1 1. 0.97 2.42 0. 0. 0. 0.
time (sec) N/A 0.437 0.704 0.207 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 634 634 844 1490 0 0 0 0
normalized size 1 1. 1.33 2.35 0. 0. 0. 0.
time (sec) N/A 0.928 8.161 0.383 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 483 483 462 2845 0 0 0 0
normalized size 1 1. 0.96 5.89 0. 0. 0. 0.
time (sec) N/A 0.804 0.853 0.372 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 546 546 594 1201 0 0 0 0
normalized size 1 1. 1.09 2.2 0. 0. 0. 0.
time (sec) N/A 0.865 1.542 0.523 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 421 421 374 3907 0 0 0 0
normalized size 1 1. 0.89 9.28 0. 0. 0. 0.
time (sec) N/A 0.726 1.485 0.556 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 332 332 511 829 0 0 0 0
normalized size 1 1. 1.54 2.5 0. 0. 0. 0.
time (sec) N/A 0.489 0.834 0.283 0. 0. 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 332 332 303 3277 0 0 0 0
normalized size 1 1. 0.91 9.87 0. 0. 0. 0.
time (sec) N/A 0.352 0.803 0.303 0. 0. 0. 0.


















Problem 258 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 294 294 461 762 0 0 0 0
normalized size 1 1. 1.57 2.59 0. 0. 0. 0.
time (sec) N/A 0.218 1.177 0.187 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 311 311 320 2896 0 0 0 0
normalized size 1 1. 1.03 9.31 0. 0. 0. 0.
time (sec) N/A 0.276 0.992 0.205 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 577 577 935 1373 0 0 0 0
normalized size 1 1. 1.62 2.38 0. 0. 0. 0.
time (sec) N/A 0.86 8.644 0.319 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 452 452 352 3777 0 0 0 0
normalized size 1 1. 0.78 8.36 0. 0. 0. 0.
time (sec) N/A 0.617 2.585 0.316 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 752 752 1090 1876 0 0 0 0
normalized size 1 1. 1.45 2.49 0. 0. 0. 0.
time (sec) N/A 1.256 10.64 0.468 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 538 538 441 5229 0 0 0 0
normalized size 1 1. 0.82 9.72 0. 0. 0. 0.
time (sec) N/A 1.053 3.587 0.381 0. 0. 0. 0.


















Problem 264 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 157 157 100 129 0 205 146 193
normalized size 1 1. 0.64 0.82 0. 1.31 0.93 1.23
time (sec) N/A 0.271 0.052 0.063 0. 1.738 4.832 1.266


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 81 127 142 154 121 138
normalized size 1 1. 0.64 1.01 1.13 1.22 0.96 1.1
time (sec) N/A 0.202 0.045 0.055 1.551 1.785 2.701 1.227


















Problem 266 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 89 89 73 71 0 150 78 109
normalized size 1 1. 0.82 0.8 0. 1.69 0.88 1.22
time (sec) N/A 0.137 0.024 0.062 0. 1.732 1.502 1.248


















Problem 267 Optimal Rubi Mathematica Maple 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 51 80 66 89 49 66
normalized size 1 1. 0.93 1.45 1.2 1.62 0.89 1.2
time (sec) N/A 0.072 0.013 0.044 1.497 1.686 0.875 1.276


















Problem 268 Optimal Rubi Mathematica Maple 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 28 10 15
normalized size 1 1. 1. 0.92 1.15 2.15 0.77 1.15
time (sec) N/A 0.034 0.004 0.003 1.519 1.624 0.475 1.254


















Problem 269 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 92 92 116 161 0 0 0 0
normalized size 1 1. 1.26 1.75 0. 0. 0. 0.
time (sec) N/A 0.143 0.103 0.06 0. 0. 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 72 148 0 0 0 0
normalized size 1 1. 0.95 1.95 0. 0. 0. 0.
time (sec) N/A 0.144 0.261 0.107 0. 0. 0. 0.


















Problem 271 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 163 163 194 269 0 0 0 0
normalized size 1 1. 1.19 1.65 0. 0. 0. 0.
time (sec) N/A 0.255 1.336 0.155 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 52 0 0 0 0
normalized size 1 1. 1. 1.24 0. 0. 0. 0.
time (sec) N/A 0.068 0.054 0.039 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 108 169 0 0 0 0
normalized size 1 1. 0.6 0.94 0. 0. 0. 0.
time (sec) N/A 0.129 0.221 0.102 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 149 365 0 0 0 0
normalized size 1 1. 0.53 1.29 0. 0. 0. 0.
time (sec) N/A 0.217 0.586 0.167 0. 0. 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 390 390 234 556 0 0 0 0
normalized size 1 1. 0.6 1.43 0. 0. 0. 0.
time (sec) N/A 0.329 0.81 0.207 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F F F F(-2) F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 1312 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 3.468 14.642 0. 0. 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F F F F(-2) F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 756 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.142 7.016 0. 0. 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F F F F(-2) F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 371 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.092 2.915 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 6.466 0.463 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 279 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.408 7.96 0.526 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 668 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.913 9.125 0.605 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 957 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.157 4.441 7.355 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 499 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.152 0.154 3.022 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 203 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.139 0.101 1.239 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.151 3.131 0.637 0. 0. 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.166 4.27 0.595 0. 0. 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.166 4.319 0.622 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.862 0.497 0. 0. 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 370 370 171 278 383 512 355 512
normalized size 1 1. 0.46 0.75 1.04 1.38 0.96 1.38
time (sec) N/A 0.7 0.323 0.078 1.567 1.797 25.739 1.46


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 273 139 206 292 375 262 360
normalized size 1 1. 0.51 0.75 1.07 1.37 0.96 1.32
time (sec) N/A 0.407 0.216 0.052 1.572 1.713 8.794 1.442


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 101 132 173 225 150 188
normalized size 1 1. 0.64 0.84 1.09 1.42 0.95 1.19
time (sec) N/A 0.211 0.09 0.041 1.586 1.616 2.451 1.383


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 162 0 49 0 0 0
normalized size 1 1. 0.81 0. 0.24 0. 0. 0.
time (sec) N/A 0.134 0.182 0.1 2.247 0. 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 234 486 77 0 0 0
normalized size 1 1. 0.69 1.44 0.23 0. 0. 0.
time (sec) N/A 0.296 0.404 0.149 2.654 0. 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 455 455 1544 726 105 0 0 0
normalized size 1 1. 3.39 1.6 0.23 0. 0. 0.
time (sec) N/A 0.507 12.441 0.224 3.319 0. 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 533 533 179 875 0 0 0 0
normalized size 1 1. 0.34 1.64 0. 0. 0. 0.
time (sec) N/A 0.547 0.8 0.247 0. 0. 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 138 533 0 0 0 0
normalized size 1 1. 0.38 1.46 0. 0. 0. 0.
time (sec) N/A 0.322 0.313 0.161 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 114 260 0 0 0 0
normalized size 1 1. 0.53 1.21 0. 0. 0. 0.
time (sec) N/A 0.165 0.057 0.139 0. 0. 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 52 0 0 0 0
normalized size 1 1. 1. 1.24 0. 0. 0. 0.
time (sec) N/A 0.069 0.043 0.03 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 157 203 76 0 0 0
normalized size 1 1. 0.66 0.85 0.32 0. 0. 0.
time (sec) N/A 0.175 0.252 0.101 4.002 0. 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 388 388 211 661 143 0 0 0
normalized size 1 1. 0.54 1.7 0.37 0. 0. 0.
time (sec) N/A 0.306 0.559 0.207 2.705 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 547 547 319 1017 0 0 0 0
normalized size 1 1. 0.58 1.86 0. 0. 0. 0.
time (sec) N/A 0.481 0.727 0.283 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 0.861 0.485 0. 0. 0. 0.


















Problem 303 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 191 191 125 159 0 273 185 259
normalized size 1 1. 0.65 0.83 0. 1.43 0.97 1.36
time (sec) N/A 0.468 0.062 0.068 0. 1.672 8.675 1.46


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 100 180 177 209 148 174
normalized size 1 1. 0.64 1.15 1.13 1.33 0.94 1.11
time (sec) N/A 0.321 0.052 0.056 1.61 1.697 4.781 1.471


















Problem 305 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 107 107 85 85 0 185 100 146
normalized size 1 1. 0.79 0.79 0. 1.73 0.93 1.36
time (sec) N/A 0.207 0.03 0.066 0. 1.649 2.788 1.436


















Problem 306 Optimal Rubi Mathematica Maple 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 61 107 86 119 61 84
normalized size 1 1. 0.91 1.6 1.28 1.78 0.91 1.25
time (sec) N/A 0.105 0.017 0.046 1.512 1.929 1.416 1.415


















Problem 307 Optimal Rubi Mathematica Maple 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 28 10 15
normalized size 1 1. 1. 0.92 1.15 2.15 0.77 1.15
time (sec) N/A 0.03 0.004 0.005 1.473 1.819 0.862 1.38


















Problem 308 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 138 138 180 221 0 0 0 0
normalized size 1 1. 1.3 1.6 0. 0. 0. 0.
time (sec) N/A 0.16 0.15 0.066 0. 0. 0. 0.


















Problem 309 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 99 99 108 208 0 0 0 0
normalized size 1 1. 1.09 2.1 0. 0. 0. 0.
time (sec) N/A 0.182 0.209 0.105 0. 0. 0. 0.


















Problem 310 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 264 264 317 428 0 0 0 0
normalized size 1 1. 1.2 1.62 0. 0. 0. 0.
time (sec) N/A 0.357 4.432 0.167 0. 0. 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 43 42 0 0 0 80
normalized size 1 1. 0.64 0.63 0. 0. 0. 1.19
time (sec) N/A 0.105 0.116 0.044 0. 0. 0. 1.406


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 34 33 0 0 0 59
normalized size 1 1. 0.68 0.66 0. 0. 0. 1.18
time (sec) N/A 0.09 0.078 0.028 0. 0. 0. 1.356


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 23 22 0 0 0 34
normalized size 1 1. 0.79 0.76 0. 0. 0. 1.17
time (sec) N/A 0.064 0.019 0.028 0. 0. 0. 1.325


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 2.533 0.099 0. 0. 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 7.68 0.259 0. 0. 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 152 193 0 0 0 637
normalized size 1 1. 0.74 0.94 0. 0. 0. 3.09
time (sec) N/A 0.46 0.423 0.057 0. 0. 0. 1.489


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 179 135 138 0 0 0 486
normalized size 1 0.98 0.74 0.75 0. 0. 0. 2.66
time (sec) N/A 0.43 0.323 0.048 0. 0. 0. 1.374


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 66 77 0 0 0 228
normalized size 1 1. 0.8 0.94 0. 0. 0. 2.78
time (sec) N/A 0.251 0.182 0.046 0. 0. 0. 1.376


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 117 91 92 0 0 0 232
normalized size 1 0.97 0.75 0.76 0. 0. 0. 1.92
time (sec) N/A 0.262 0.207 0.041 0. 0. 0. 1.4


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 62 77 0 0 0 138
normalized size 1 1. 0.76 0.94 0. 0. 0. 1.68
time (sec) N/A 0.166 0.152 0.041 0. 0. 0. 1.422


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.399 2.864 0.267 0. 0. 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 46 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.298 0.859 0.317 0. 0. 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 5.283 2.18 0. 0. 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.75 3.641 0. 0. 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 241 179 184 0 0 0 829
normalized size 1 0.98 0.73 0.75 0. 0. 0. 3.38
time (sec) N/A 0.499 0.752 0.053 0. 0. 0. 1.39


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 165 193 0 0 0 639
normalized size 1 1. 0.8 0.94 0. 0. 0. 3.1
time (sec) N/A 0.423 0.595 0.05 0. 0. 0. 1.372


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 179 136 139 0 0 0 486
normalized size 1 0.98 0.74 0.76 0. 0. 0. 2.66
time (sec) N/A 0.344 0.494 0.046 0. 0. 0. 1.423


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 121 135 0 0 0 340
normalized size 1 1. 0.84 0.94 0. 0. 0. 2.36
time (sec) N/A 0.242 0.324 0.043 0. 0. 0. 1.405


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 139 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.752 2.916 0.268 0. 0. 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.576 1.151 0.273 0. 0. 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.139 5.206 2.187 0. 0. 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 0.758 3.401 0. 0. 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 241 180 185 0 0 0 1007
normalized size 1 0.98 0.73 0.76 0. 0. 0. 4.11
time (sec) N/A 0.512 1.136 0.054 0. 0. 0. 1.45


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 209 251 0 0 0 1022
normalized size 1 1. 0.78 0.94 0. 0. 0. 3.81
time (sec) N/A 0.53 1.03 0.055 0. 0. 0. 1.392


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 241 180 185 0 0 0 829
normalized size 1 0.98 0.73 0.76 0. 0. 0. 3.38
time (sec) N/A 0.447 0.914 0.048 0. 0. 0. 1.424


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 165 193 0 0 0 637
normalized size 1 1. 0.8 0.94 0. 0. 0. 3.09
time (sec) N/A 0.321 0.682 0.044 0. 0. 0. 1.41


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 195 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.145 2.93 0.323 0. 0. 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 160 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.933 1.065 0.335 0. 0. 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.143 5.226 2.24 0. 0. 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.145 0.848 3.553 0. 0. 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 31 36 0 0 0 47
normalized size 1 1. 0.76 0.88 0. 0. 0. 1.15
time (sec) N/A 0.159 0.072 0.055 0. 0. 0. 1.315


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 24 21 0 0 0 31
normalized size 1 1. 0.89 0.78 0. 0. 0. 1.15
time (sec) N/A 0.145 0.06 0.049 0. 0. 0. 1.357


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 24 0 0 0 31
normalized size 1 1. 0.81 0.89 0. 0. 0. 1.15
time (sec) N/A 0.136 0.058 0.043 0. 0. 0. 1.315


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 24 0 0 0 31
normalized size 1 1. 0.81 0.89 0. 0. 0. 1.15
time (sec) N/A 0.135 0.014 0. 0. 0. 0. 1.316


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 0 0 0 12
normalized size 1 1. 1. 1.11 0. 0. 0. 1.33
time (sec) N/A 0.075 0.048 0.037 0. 0. 0. 1.374


















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 9 9 9 10 12 28 7 14
normalized size 1 1. 1. 1.11 1.33 3.11 0.78 1.56
time (sec) N/A 0.033 0.019 0.003 1.876 1.851 0.496 1.291


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 1.181 0.092 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.108 0.134 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 179 136 139 0 0 0 486
normalized size 1 0.98 0.74 0.76 0. 0. 0. 2.66
time (sec) N/A 0.373 0.319 0.048 0. 0. 0. 1.432


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 108 135 0 0 0 343
normalized size 1 1. 0.75 0.94 0. 0. 0. 2.38
time (sec) N/A 0.331 0.235 0.046 0. 0. 0. 1.388


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 117 92 93 0 0 0 232
normalized size 1 0.97 0.76 0.77 0. 0. 0. 1.92
time (sec) N/A 0.31 0.196 0.043 0. 0. 0. 1.411


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 64 77 0 0 0 140
normalized size 1 1. 0.78 0.94 0. 0. 0. 1.71
time (sec) N/A 0.25 0.158 0.043 0. 0. 0. 1.317


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 50 45 46 0 0 0 68
normalized size 1 0.93 0.83 0.85 0. 0. 0. 1.26
time (sec) N/A 0.154 0.105 0.039 0. 0. 0. 1.426


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 17 22 42 0 43
normalized size 1 1. 1. 1.06 1.38 2.62 0. 2.69
time (sec) N/A 0.048 0.048 0.006 1.506 1.936 0. 1.337


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.124 2.651 0.117 0. 0. 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.069 0.085 0. 0. 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 3.714 0.281 0. 0. 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 9.683 0.202 0. 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.094 0.142 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.134 2.559 1.931 0. 0. 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.136 1.882 0.385 0. 0. 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 4.276 1.955 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 24.043 1.76 0. 0. 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.102 1.447 0. 0. 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.135 5.639 4.153 0. 0. 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.136 5.745 4.325 0. 0. 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.904 0.967 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.484 0.854 0. 0. 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.113 0.065 0.664 0. 0. 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.562 0.2 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 1.065 0.435 0. 0. 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 1.615 0.551 0. 0. 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.384 0.2 0. 0. 0. 0.


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 83 105 0 0 0 128
normalized size 1 1. 0.87 1.11 0. 0. 0. 1.35
time (sec) N/A 0.174 0.58 0.05 0. 0. 0. 1.403


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 70 83 0 0 0 109
normalized size 1 1. 0.9 1.06 0. 0. 0. 1.4
time (sec) N/A 0.161 0.487 0.034 0. 0. 0. 1.44


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 59 0 0 0 66
normalized size 1 1. 1. 1.07 0. 0. 0. 1.2
time (sec) N/A 0.118 0.222 0.032 0. 0. 0. 1.384


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 58 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 3.763 0.102 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 59 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 14.533 0.289 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 0 50 51 0 0
normalized size 1 1. 1. 0. 2.94 3. 0. 0.
time (sec) N/A 0.125 0.15 1.068 3.109 1.677 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.503 0.668 0. 0. 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 210 175 340 0 0 0 1686
normalized size 1 0.98 0.82 1.59 0. 0. 0. 7.88
time (sec) N/A 0.633 0.544 0.056 0. 0. 0. 1.703


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 82 136 0 0 0 760
normalized size 1 1. 0.87 1.45 0. 0. 0. 8.09
time (sec) N/A 0.468 0.322 0.046 0. 0. 0. 1.53


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 198 125 223 0 0 0 821
normalized size 1 1.32 0.83 1.49 0. 0. 0. 5.47
time (sec) N/A 0.37 0.283 0.049 0. 0. 0. 1.517


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 72 134 0 0 0 392
normalized size 1 1. 0.84 1.56 0. 0. 0. 4.56
time (sec) N/A 0.162 0.198 0.046 0. 0. 0. 1.555


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 104 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.204 10.226 0.532 0. 0. 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 56 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.149 2.323 0.43 0. 0. 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 15.611 3.499 0. 0. 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 3.445 5.385 0. 0. 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.135 0.536 0.869 0. 0. 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 274 399 455 0 0 0 2788
normalized size 1 0.99 1.44 1.64 0. 0. 0. 10.03
time (sec) N/A 0.89 1.054 0.061 0. 0. 0. 1.744


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 306 364 0 0 0 2097
normalized size 1 1. 1.39 1.65 0. 0. 0. 9.53
time (sec) N/A 0.636 0.809 0.058 0. 0. 0. 1.702


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 210 295 341 0 0 0 1640
normalized size 1 0.98 1.38 1.59 0. 0. 0. 7.66
time (sec) N/A 0.666 0.517 0.051 0. 0. 0. 1.709


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 122 250 0 0 0 1008
normalized size 1 1. 0.81 1.67 0. 0. 0. 6.72
time (sec) N/A 0.273 0.624 0.048 0. 0. 0. 1.651


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 176 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.404 10.335 0.343 0. 0. 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 100 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.246 4.342 0.341 0. 0. 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 15.925 0.921 0. 0. 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.197 2.626 4.744 0. 0. 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.137 0.562 0.935 0. 0. 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 274 408 455 0 0 0 3347
normalized size 1 0.99 1.47 1.64 0. 0. 0. 12.04
time (sec) N/A 1.155 1.508 0.06 0. 0. 0. 1.774


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 414 478 0 0 0 3322
normalized size 1 1. 1.47 1.7 0. 0. 0. 11.78
time (sec) N/A 0.933 1.082 0.061 0. 0. 0. 1.818


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 272 404 455 0 0 0 2735
normalized size 1 0.99 1.46 1.65 0. 0. 0. 9.91
time (sec) N/A 0.872 0.945 0.057 0. 0. 0. 1.724


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 311 364 0 0 0 1882
normalized size 1 1. 1.43 1.68 0. 0. 0. 8.67
time (sec) N/A 0.4 0.825 0.054 0. 0. 0. 1.595


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 234 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.534 12.721 0.424 0. 0. 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 104 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.312 3.44 0.443 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 15.979 3.508 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.138 3.146 5.251 0. 0. 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 48 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.162 0.597 0.233 0. 0. 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 200 157 341 0 0 0 1725
normalized size 1 0.98 0.77 1.67 0. 0. 0. 8.46
time (sec) N/A 0.441 0.345 0.054 0. 0. 0. 1.649


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 117 250 0 0 0 1183
normalized size 1 1. 0.83 1.77 0. 0. 0. 8.39
time (sec) N/A 0.359 0.301 0.05 0. 0. 0. 1.569


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 138 113 227 0 0 0 859
normalized size 1 0.97 0.8 1.6 0. 0. 0. 6.05
time (sec) N/A 0.34 0.269 0.046 0. 0. 0. 1.552


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 70 136 0 0 0 467
normalized size 1 1. 0.89 1.72 0. 0. 0. 5.91
time (sec) N/A 0.244 0.157 0.047 0. 0. 0. 1.481


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 59 108 0 0 0 270
normalized size 1 1. 0.82 1.5 0. 0. 0. 3.75
time (sec) N/A 0.15 0.107 0.042 0. 0. 0. 1.473


















Problem 413 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 18 18 18 19 24 43 0 24
normalized size 1 1. 1. 1.06 1.33 2.39 0. 1.33
time (sec) N/A 0.044 0.008 0.006 1.493 2.263 0. 1.134


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 46 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.152 7.292 0.13 0. 0. 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 46 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.149 1.288 0.093 0. 0. 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.136 1.117 0.448 0. 0. 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 59.009 0.482 0. 0. 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.201 7.82 0.327 0. 0. 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 58.237 0.223 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 63 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.108 2.569 0.194 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 46.907 2.224 0. 0. 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 31.424 0.642 0. 0. 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.133 1.631 0.564 0. 0. 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.134 100.053 3.177 0. 0. 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.136 11.39 2.841 0. 0. 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 103.175 2.423 0. 0. 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 63 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 4.014 0.462 0. 0. 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.131 77.64 6.138 0. 0. 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 23.673 6.249 0. 0. 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple 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 32 12 15
normalized size 1 1. 1. 0.92 1.15 2.46 0.92 1.15
time (sec) N/A 0.031 0.005 0.01 1.44 2.041 1.158 1.434


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 251 251 287 287 0 0 0 0
normalized size 1 1. 1.14 1.14 0. 0. 0. 0.
time (sec) N/A 1.444 1.41 0.097 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 591 591 514 441 0 0 0 0
normalized size 1 1. 0.87 0.75 0. 0. 0. 0.
time (sec) N/A 1.668 1.541 0.106 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 241 241 375 283 0 0 0 0
normalized size 1 1. 1.56 1.17 0. 0. 0. 0.
time (sec) N/A 0.787 2.224 0.079 0. 0. 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 253 253 348 297 0 0 0 0
normalized size 1 1. 1.38 1.17 0. 0. 0. 0.
time (sec) N/A 0.592 1.096 0.074 0. 0. 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 170 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.779 1.836 0.3 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 485 485 540 551 0 0 0 0
normalized size 1 1. 1.11 1.14 0. 0. 0. 0.
time (sec) N/A 1.662 2.745 0.105 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 511 511 686 590 0 0 0 0
normalized size 1 1. 1.34 1.15 0. 0. 0. 0.
time (sec) N/A 2.124 2.756 0.112 0. 0. 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 373 373 509 426 0 0 0 0
normalized size 1 1. 1.36 1.14 0. 0. 0. 0.
time (sec) N/A 1.401 3.07 0.086 0. 0. 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 390 390 522 446 0 0 0 0
normalized size 1 1. 1.34 1.14 0. 0. 0. 0.
time (sec) N/A 0.816 2.401 0.087 0. 0. 0. 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 288 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.463 3.508 0.404 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-2) F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 42 42 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.151 3.527 0.218 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 166 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.283 0.22 0.197 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 138 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.118 0.067 0.231 0. 0. 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 38 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.075 0.047 0.039 0. 0. 0. 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 90 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.619 0.235 0. 0. 0. 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 185 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.189 1.721 0.296 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 363 363 186 0 0 0 0 0
normalized size 1 1. 0.51 0. 0. 0. 0. 0.
time (sec) N/A 0.434 0.425 0.179 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 219 219 158 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.225 0.108 0.234 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 38 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.072 0.056 0.037 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 90 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.7 0.208 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 431 431 180 0 0 0 0 0
normalized size 1 1. 0.42 0. 0. 0. 0. 0.
time (sec) N/A 0.578 0.317 0.18 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 247 247 158 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 0.249 0.123 0.234 0. 0. 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 38 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.069 0.053 0.038 0. 0. 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 90 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 0.676 0.238 0. 0. 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 183 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.237 0.201 0.256 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 126 126 148 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.072 0.267 0. 0. 0. 0.


















Problem 457 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 90 0 20
normalized size 1 1. 1. 0.9 0. 2.14 0. 0.48
time (sec) N/A 0.061 0.032 0.043 0. 2.279 0. 1.225


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 89 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.573 0.227 0. 0. 0. 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 183 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.156 1.758 0.273 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 359 359 209 0 0 0 0 0
normalized size 1 1. 0.58 0. 0. 0. 0. 0.
time (sec) N/A 0.421 0.435 0.184 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 215 215 173 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.232 0.136 0.236 0. 0. 0. 0.


















Problem 462 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 0.036 0.038 0. 2.305 0. 1.407


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 89 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.658 0.188 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 25 25 53 20 0 0 0 50
normalized size 1 1. 2.12 0.8 0. 0. 0. 2.
time (sec) N/A 0.061 0.076 0.067 0. 0. 0. 1.356


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 244 244 336 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.193 0.629 0.182 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 182 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.305 0.181 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 99 99 118 0 0 0 0 0
normalized size 1 1. 1.19 0. 0. 0. 0. 0.
time (sec) N/A 0.122 0.129 0.235 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 38 0 0 0 0
normalized size 1 1. 1. 0.9 0. 0. 0. 0.
time (sec) N/A 0.07 0.047 0.034 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.852 0.207 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 2.036 0.284 0. 0. 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 237 237 404 0 0 0 0 0
normalized size 1 1. 1.7 0. 0. 0. 0. 0.
time (sec) N/A 0.186 1.056 0.178 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 211 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.134 0.376 0.177 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 83 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.08 0.17 0.234 0. 0. 0. 0.


















Problem 474 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 42 42 42 38 0 109 0 0
normalized size 1 1. 1. 0.9 0. 2.6 0. 0.
time (sec) N/A 0.07 0.044 0.036 0. 2.152 0. 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 102 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.841 0.211 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 102 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 1.878 0.291 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 206 206 251 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.297 1.333 0.183 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 142 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.47 0.236 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 38 0 112 0 0
normalized size 1 1. 1. 0.86 0. 2.55 0. 0.
time (sec) N/A 0.069 0.053 0.036 0. 1.951 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.838 0.206 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 1.929 0.293 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 189 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.456 0.833 0.36 0. 0. 0. 0.


















Problem 483 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 391 391 272 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.44 0.841 0.225 0. 0. 0. 0.


















Problem 484 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 259 259 182 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.293 0.753 0.21 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 218 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.138 0.192 0.434 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 0.257 0.217 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 684 684 436 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 0.81 3.21 0.267 0. 0. 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 595 595 464 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.586 2.092 0.171 0. 0. 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 466 466 326 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.407 1.66 0.133 0. 0. 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 426 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.159 0.205 0.162 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 297 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.715 0.196 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 906 906 989 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.96 4.218 0.259 0. 0. 0. 0.


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 815 815 603 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.735 3.974 0.174 0. 0. 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 698 698 477 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.577 4.335 0.13 0. 0. 0. 0.


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 826 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.155 0.225 0.161 0. 0. 0. 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 501 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.16 0.722 0.19 0. 0. 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.477 0.355 0. 0. 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 153 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.246 0.32 0.248 0. 0. 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 109 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.254 0.217 0. 0. 0. 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 70 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.074 0.097 0. 0. 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 18 0 50 34 23
normalized size 1 1. 1. 1.06 0. 2.94 2. 1.35
time (sec) N/A 0.036 0.007 0.003 0. 2.087 1.039 1.235


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 3.219 0.099 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.936 0.127 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 293 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.537 1.234 0.338 0. 0. 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 273 260 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.297 0.944 0.232 0. 0. 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 158 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.165 0.933 0.237 0. 0. 0. 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 200 0 0 0 0 0
normalized size 1 1. 1.42 0. 0. 0. 0. 0.
time (sec) N/A 0.264 0.785 0.243 0. 0. 0. 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 248 0 0 0 0 0
normalized size 1 1. 1.53 0. 0. 0. 0. 0.
time (sec) N/A 0.36 1.325 0.285 0. 0. 0. 0.


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 114 0 0 1137 0 0
normalized size 1 1. 0.7 0. 0. 6.98 0. 0.
time (sec) N/A 0.269 0.483 0.239 0. 2.817 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 305 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.39 1.523 0.224 0. 0. 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 247 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.224 1.044 0.224 0. 0. 0. 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 273 260 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.312 1.003 0.236 0. 0. 0. 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 238 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.425 1.224 0.23 0. 0. 0. 0.


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 291 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.436 3.157 0.238 0. 0. 0. 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 599 0 0 0 0 0
normalized size 1 1. 1.85 0. 0. 0. 0. 0.
time (sec) N/A 0.353 5.101 0.233 0. 0. 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 303 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.265 1.513 0.226 0. 0. 0. 0.


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 305 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.382 1.455 0.224 0. 0. 0. 0.


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 293 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.539 1.203 0.235 0. 0. 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 274 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.592 1.734 0.23 0. 0. 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 465 465 685 0 0 0 0 0
normalized size 1 1. 1.47 0. 0. 0. 0. 0.
time (sec) N/A 0.375 3.562 0.247 0. 0. 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 420 847 0 0 0 0 0
normalized size 1 1. 2.02 0. 0. 0. 0. 0.
time (sec) N/A 0.394 6.721 0.242 0. 0. 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 270 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.587 2.079 0.233 0. 0. 0. 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 238 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.42 1.124 0.23 0. 0. 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 200 0 0 0 0 0
normalized size 1 1. 1.42 0. 0. 0. 0. 0.
time (sec) N/A 0.258 0.705 0.243 0. 0. 0. 0.


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 110 0 0 0 0 0
normalized size 1 1. 2. 0. 0. 0. 0. 0.
time (sec) N/A 0.144 0.498 0.21 0. 0. 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 79 0 0 803 0 0
normalized size 1 1. 0.8 0. 0. 8.11 0. 0.
time (sec) N/A 0.213 0.364 0.231 0. 2.599 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 118 0 0 1157 0 0
normalized size 1 1. 0.45 0. 0. 4.37 0. 0.
time (sec) N/A 0.3 0.454 0.235 0. 3.114 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 463 768 0 0 0 0 0
normalized size 1 1. 1.66 0. 0. 0. 0. 0.
time (sec) N/A 0.37 3.995 0.245 0. 0. 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 252 252 514 0 0 0 0 0
normalized size 1 1. 2.04 0. 0. 0. 0. 0.
time (sec) N/A 0.422 2.668 0.238 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 281 0 0 0 0 0
normalized size 1 1. 1.73 0. 0. 0. 0. 0.
time (sec) N/A 0.347 1.502 0.263 0. 0. 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 106 0 0 803 0 0
normalized size 1 1. 1.08 0. 0. 8.19 0. 0.
time (sec) N/A 0.21 0.429 0.231 0. 2.505 0. 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 105 0 117 0 0 0
normalized size 1 1. 1.09 0. 1.22 0. 0. 0.
time (sec) N/A 0.175 0.454 0.227 1.522 0. 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 180 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.262 0.598 0.227 0. 0. 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 419 419 850 0 0 0 0 0
normalized size 1 1. 2.03 0. 0. 0. 0. 0.
time (sec) N/A 0.38 5.793 0.247 0. 0. 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 601 0 0 0 0 0
normalized size 1 1. 1.85 0. 0. 0. 0. 0.
time (sec) N/A 0.341 4.432 0.232 0. 0. 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 126 0 0 1137 0 0
normalized size 1 1. 0.77 0. 0. 6.93 0. 0.
time (sec) N/A 0.256 0.487 0.242 0. 3.246 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 130 0 0 1157 0 0
normalized size 1 1. 0.49 0. 0. 4.37 0. 0.
time (sec) N/A 0.286 0.462 0.229 0. 3.435 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 184 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.252 0.624 0.23 0. 0. 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 178 0 239 0 0 0
normalized size 1 1. 0.95 0. 1.27 0. 0. 0.
time (sec) N/A 0.202 0.582 0.228 1.54 0. 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 613 613 555 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 1.01 2.291 0.311 0. 0. 0. 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 455 455 437 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.571 1.786 0.262 0. 0. 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 288 0 0 0 0 0
normalized size 1 1. 1.3 0. 0. 0. 0. 0.
time (sec) N/A 0.299 1.013 0.266 0. 0. 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 296 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.441 1.148 0.271 0. 0. 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 530 530 547 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.948 3.712 0.214 0. 0. 0. 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 486 486 694 0 0 0 0 0
normalized size 1 1. 1.43 0. 0. 0. 0. 0.
time (sec) N/A 1.119 7.947 0.267 0. 0. 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 697 697 574 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.8 3.525 0.256 0. 0. 0. 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 362 362 373 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.431 1.839 0.25 0. 0. 0. 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 455 455 440 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.592 1.808 0.267 0. 0. 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 398 398 358 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.578 2.237 0.262 0. 0. 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 714 714 1086 0 0 0 0 0
normalized size 1 1. 1.52 0. 0. 0. 0. 0.
time (sec) N/A 1.085 7.328 0.201 0. 0. 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 1430 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 1.154 9.594 0.204 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 502 502 450 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.568 2.836 0.256 0. 0. 0. 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 697 697 574 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.794 3.667 0.259 0. 0. 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 613 613 555 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 1.003 2.329 0.275 0. 0. 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 559 559 473 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.688 3.263 0.266 0. 0. 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 918 918 2279 0 0 0 0 0
normalized size 1 1. 2.48 0. 0. 0. 0. 0.
time (sec) N/A 1.273 10.767 0.217 0. 0. 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 729 729 2326 0 0 0 0 0
normalized size 1 1. 3.19 0. 0. 0. 0. 0.
time (sec) N/A 1.303 12.45 0.204 0. 0. 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 559 559 434 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.66 3.562 0.263 0. 0. 0. 0.


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 398 398 344 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.562 2.159 0.265 0. 0. 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 298 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.442 1.127 0.273 0. 0. 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 159 0 0 0 0 0
normalized size 1 1. 2.89 0. 0. 0. 0. 0.
time (sec) N/A 0.238 0.921 0.24 0. 0. 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 455 455 225 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 0.672 1.726 0.267 0. 0. 0. 0.


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 896 896 536 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.239 7.394 0.263 0. 0. 0. 0.


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 918 918 2029 0 0 0 0 0
normalized size 1 1. 2.21 0. 0. 0. 0. 0.
time (sec) N/A 1.275 13.589 0.207 0. 0. 0. 0.


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 713 713 1247 0 0 0 0 0
normalized size 1 1. 1.75 0. 0. 0. 0. 0.
time (sec) N/A 1.049 10.44 0.202 0. 0. 0. 0.


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 530 530 513 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.909 5.926 0.217 0. 0. 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 454 454 221 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 0.659 1.689 0.26 0. 0. 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 550 0 0 0 0 0
normalized size 1 1. 2.53 0. 0. 0. 0. 0.
time (sec) N/A 0.377 1.336 0.253 0. 0. 0. 0.


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 709 709 735 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.839 8.233 0.257 0. 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 730 730 2300 0 0 0 0 0
normalized size 1 1. 3.15 0. 0. 0. 0. 0.
time (sec) N/A 1.291 12.896 0.202 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 1411 0 0 0 0 0
normalized size 1 1. 2.59 0. 0. 0. 0. 0.
time (sec) N/A 1.145 9.92 0.206 0. 0. 0. 0.


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 486 486 683 0 0 0 0 0
normalized size 1 1. 1.41 0. 0. 0. 0. 0.
time (sec) N/A 1.07 8.236 0.273 0. 0. 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 896 896 388 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 1.231 6.602 0.257 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 709 709 760 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.836 8.29 0.257 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 366 366 722 0 0 0 0 0
normalized size 1 1. 1.97 0. 0. 0. 0. 0.
time (sec) N/A 0.474 9.408 0.259 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 297 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.705 1.139 0.648 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 178 0 0 435 0 610
normalized size 1 1. 0.79 0. 0. 1.93 0. 2.71
time (sec) N/A 0.395 0.585 0.361 0. 2.448 0. 1.6


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 288 0 0 0 0 0
normalized size 1 1. 1.3 0. 0. 0. 0. 0.
time (sec) N/A 0.29 1.099 0. 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 432 432 434 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.681 2.292 0.296 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 257 257 373 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 0.594 1.188 0.431 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 509 509 452 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 1.026 2.157 0.616 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 338 207 0 0 691 0 1897
normalized size 1 1. 0.61 0. 0. 2.04 0. 5.61
time (sec) N/A 0.507 0.816 0.35 0. 2.533 0. 2.153


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 362 362 373 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.422 1.631 0. 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 647 647 632 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.941 4.943 0.279 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 505 505 538 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.807 2.266 0.419 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 326 0 0 0 0 0
normalized size 1 1. 1.3 0. 0. 0. 0. 0.
time (sec) N/A 0.582 1.302 0.331 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 150 0 0 302 0 0
normalized size 1 1. 0.85 0. 0. 1.71 0. 0.
time (sec) N/A 0.377 0.66 0.365 0. 2.332 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 159 0 0 0 0 0
normalized size 1 1. 2.89 0. 0. 0. 0. 0.
time (sec) N/A 0.232 0.647 0. 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 287 287 336 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.58 1.503 0.289 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 189 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.584 1.12 0.526 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 636 0 0 0 0 0
normalized size 1 1. 2.16 0. 0. 0. 0. 0.
time (sec) N/A 0.743 2.53 0.338 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 453 0 0 0 0 0
normalized size 1 1. 1.86 0. 0. 0. 0. 0.
time (sec) N/A 0.488 1.347 0.38 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 550 0 0 0 0 0
normalized size 1 1. 2.53 0. 0. 0. 0. 0.
time (sec) N/A 0.383 0.776 0. 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 548 548 877 0 0 0 0 0
normalized size 1 1. 1.6 0. 0. 0. 0. 0.
time (sec) N/A 0.853 5.747 0.284 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 396 396 564 0 0 0 0 0
normalized size 1 1. 1.42 0. 0. 0. 0. 0.
time (sec) N/A 0.858 2.476 0.49 0. 0. 0. 0.


















Problem 596 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 152 152 115 201 247 308 223 439
normalized size 1 1. 0.76 1.32 1.62 2.03 1.47 2.89
time (sec) N/A 0.15 0.114 0.005 1.463 2.278 7.818 1.216


















Problem 597 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 149 149 116 177 252 286 206 454
normalized size 1 1. 0.78 1.19 1.69 1.92 1.38 3.05
time (sec) N/A 0.117 0.082 0.006 1.475 2.345 5.268 1.268


















Problem 598 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 120 120 96 161 192 250 172 293
normalized size 1 1. 0.8 1.34 1.6 2.08 1.43 2.44
time (sec) N/A 0.127 0.091 0.004 1.447 2.387 2.593 1.324


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 95 137 197 234 153 273
normalized size 1 1. 0.78 1.12 1.61 1.92 1.25 2.24
time (sec) N/A 0.088 0.064 0.005 1.449 2.347 1.395 1.272


















Problem 600 Optimal Rubi Mathematica Maple 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 71 111 123 186 109 154
normalized size 1 1. 0.88 1.37 1.52 2.3 1.35 1.9
time (sec) N/A 0.065 0.065 0.003 1.442 2.498 0.689 1.232


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 108 177 0 0 0 0
normalized size 1 1. 0.82 1.34 0. 0. 0. 0.
time (sec) N/A 0.239 0.2 0.205 0. 0. 0. 0.


















Problem 602 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 66 66 71 79 107 244 75 1399
normalized size 1 1. 1.08 1.2 1.62 3.7 1.14 21.2
time (sec) N/A 0.077 0.055 0.008 1.437 3.09 4.115 1.753


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 104 174 0 0 0 0
normalized size 1 1. 0.87 1.46 0. 0. 0. 0.
time (sec) N/A 0.223 0.11 0.287 0. 0. 0. 0.


















Problem 604 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 85 85 109 120 161 277 170 581
normalized size 1 1. 1.28 1.41 1.89 3.26 2. 6.84
time (sec) N/A 0.087 0.047 0.01 1.439 2.457 5.272 13.46


















Problem 605 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 241 241 187 339 424 540 415 805
normalized size 1 1. 0.78 1.41 1.76 2.24 1.72 3.34
time (sec) N/A 0.318 0.205 0.005 1.475 2.083 23.995 1.261


















Problem 606 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 241 241 190 303 432 517 382 861
normalized size 1 1. 0.79 1.26 1.79 2.15 1.59 3.57
time (sec) N/A 0.251 0.163 0.007 1.475 2.145 15.678 1.25


















Problem 607 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 198 198 158 279 342 450 333 576
normalized size 1 1. 0.8 1.41 1.73 2.27 1.68 2.91
time (sec) N/A 0.221 0.184 0.004 1.467 2.041 8.288 1.261


















Problem 608 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 183 183 159 243 350 414 299 571
normalized size 1 1. 0.87 1.33 1.91 2.26 1.63 3.12
time (sec) N/A 0.176 0.143 0.004 1.461 2.113 5.862 1.351


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 125 209 246 348 240 355
normalized size 1 1. 0.83 1.39 1.64 2.32 1.6 2.37
time (sec) N/A 0.136 0.151 0.006 1.457 2.035 2.859 1.25


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 184 272 0 0 0 0
normalized size 1 1. 0.8 1.19 0. 0. 0. 0.
time (sec) N/A 0.335 0.465 0.208 0. 0. 0. 0.


















Problem 611 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 126 126 129 168 204 385 167 5733
normalized size 1 1. 1.02 1.33 1.62 3.06 1.33 45.5
time (sec) N/A 0.184 0.138 0.008 1.462 2.755 5.774 3.077


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 159 248 0 0 0 0
normalized size 1 1. 0.86 1.34 0. 0. 0. 0.
time (sec) N/A 0.338 0.333 0.371 0. 0. 0. 0.


















Problem 613 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 126 126 140 156 215 393 219 3429
normalized size 1 1. 1.11 1.24 1.71 3.12 1.74 27.21
time (sec) N/A 0.201 0.163 0.01 1.451 2.867 7.151 84.875


















Problem 614 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 341 341 271 497 628 846 631 1253
normalized size 1 1. 0.79 1.46 1.84 2.48 1.85 3.67
time (sec) N/A 0.435 0.262 0.016 1.495 2.065 65.626 1.362


















Problem 615 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 380 380 276 449 639 776 597 1386
normalized size 1 1. 0.73 1.18 1.68 2.04 1.57 3.65
time (sec) N/A 0.508 0.242 0.006 1.489 2.211 46.39 1.329


















Problem 616 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 287 287 231 417 518 679 525 942
normalized size 1 1. 0.8 1.45 1.8 2.37 1.83 3.28
time (sec) N/A 0.373 0.226 0.006 1.474 2.063 24.827 1.29


















Problem 617 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 258 258 232 369 529 636 483 987
normalized size 1 1. 0.9 1.43 2.05 2.47 1.87 3.83
time (sec) N/A 0.268 0.2 0.005 1.489 2.158 16.905 1.239


















Problem 618 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 225 225 187 325 394 537 389 633
normalized size 1 1. 0.83 1.44 1.75 2.39 1.73 2.81
time (sec) N/A 0.251 0.244 0.005 1.468 2.057 8.864 1.299


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 278 392 0 0 0 0
normalized size 1 1. 0.78 1.1 0. 0. 0. 0.
time (sec) N/A 0.476 0.371 0.342 0. 0. 0. 0.


















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 190 190 183 264 325 539 272 14533
normalized size 1 1. 0.96 1.39 1.71 2.84 1.43 76.49
time (sec) N/A 0.271 0.202 0.01 1.45 3.295 9.288 6.895


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 220 345 0 0 0 0
normalized size 1 1. 0.84 1.32 0. 0. 0. 0.
time (sec) N/A 0.779 0.415 0.599 0. 0. 0. 0.


















Problem 622 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 186 186 194 249 312 541 311 0
normalized size 1 1. 1.04 1.34 1.68 2.91 1.67 0.
time (sec) N/A 0.315 0.252 0.01 1.471 4.128 10.327 0.


















Problem 623 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 317 317 260 465 572 782 593 1004
normalized size 1 1. 0.82 1.47 1.8 2.47 1.87 3.17
time (sec) N/A 0.34 0.307 0.004 1.495 2.482 25.235 1.392


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 653 653 515 363 0 0 0 0
normalized size 1 1. 0.79 0.56 0. 0. 0. 0.
time (sec) N/A 1.053 0.93 1.555 0. 0. 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 559 559 454 2854 0 0 0 0
normalized size 1 1. 0.81 5.11 0. 0. 0. 0.
time (sec) N/A 0.911 0.358 0.512 0. 0. 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 579 579 456 285 0 0 0 0
normalized size 1 1. 0.79 0.49 0. 0. 0. 0.
time (sec) N/A 0.904 0.349 0.344 0. 0. 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 491 491 399 2749 0 0 0 0
normalized size 1 1. 0.81 5.6 0. 0. 0. 0.
time (sec) N/A 0.736 0.142 0.221 0. 0. 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 541 541 490 236 0 0 0 0
normalized size 1 1. 0.91 0.44 0. 0. 0. 0.
time (sec) N/A 0.739 0.411 0.062 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 518 518 441 355 0 0 0 0
normalized size 1 1. 0.85 0.69 0. 0. 0. 0.
time (sec) N/A 0.93 0.714 0.158 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 579 579 455 363 0 0 0 0
normalized size 1 1. 0.79 0.63 0. 0. 0. 0.
time (sec) N/A 0.916 0.377 0.511 0. 0. 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 573 573 483 419 0 0 0 0
normalized size 1 1. 0.84 0.73 0. 0. 0. 0.
time (sec) N/A 0.988 2.275 0.237 0. 0. 0. 0.


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 649 649 531 472 0 0 0 0
normalized size 1 1. 0.82 0.73 0. 0. 0. 0.
time (sec) N/A 0.962 0.435 0.544 0. 0. 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 574 574 593 2907 0 0 0 0
normalized size 1 1. 1.03 5.06 0. 0. 0. 0.
time (sec) N/A 0.956 1.034 0.523 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 87 414 0 830 0 0
normalized size 1 1. 1.05 4.99 0. 10. 0. 0.
time (sec) N/A 0.059 0.147 0.032 0. 2.716 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 597 597 0 491 0 0 0 0
normalized size 1 1. 0. 0.82 0. 0. 0. 0.
time (sec) N/A 1.009 3.624 0.234 0. 0. 0. 0.


















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 632 632 0 679 0 0 0 0
normalized size 1 1. 0. 1.07 0. 0. 0. 0.
time (sec) N/A 1.045 5.861 0.346 0. 0. 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 787 787 649 1738 0 0 0 0
normalized size 1 1. 0.82 2.21 0. 0. 0. 0.
time (sec) N/A 2.027 1.51 1.484 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 745 745 603 1677 0 0 0 0
normalized size 1 1. 0.81 2.25 0. 0. 0. 0.
time (sec) N/A 1.943 1.17 0.645 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 757 757 591 1687 0 0 0 0
normalized size 1 1. 0.78 2.23 0. 0. 0. 0.
time (sec) N/A 0.995 1.691 0.547 0. 0. 0. 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 795 795 672 1839 0 0 0 0
normalized size 1 1. 0.85 2.31 0. 0. 0. 0.
time (sec) N/A 1.998 1.476 2.112 0. 0. 0. 0.


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 705 705 973 5124 0 0 0 0
normalized size 1 1. 1.38 7.27 0. 0. 0. 0.
time (sec) N/A 1.095 6.486 1.639 0. 0. 0. 0.


















Problem 642 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 153 153 152 1055 0 1891 0 0
normalized size 1 1. 0.99 6.9 0. 12.36 0. 0.
time (sec) N/A 0.194 0.537 0.018 0. 3.999 0. 0.


















Problem 643 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 133 133 141 1017 0 1604 0 0
normalized size 1 1. 1.06 7.65 0. 12.06 0. 0.
time (sec) N/A 0.095 0.576 0.012 0. 3.902 0. 0.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 727 727 0 1379 0 0 0 0
normalized size 1 1. 0. 1.9 0. 0. 0. 0.
time (sec) N/A 1.132 6.628 0.461 0. 0. 0. 0.


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 783 783 0 1816 0 0 0 0
normalized size 1 1. 0. 2.32 0. 0. 0. 0.
time (sec) N/A 1.175 9.259 0.622 0. 0. 0. 0.


















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1082 1082 1014 3107 0 0 0 0
normalized size 1 1. 0.94 2.87 0. 0. 0. 0.
time (sec) N/A 3.384 5.883 1.096 0. 0. 0. 0.


















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1092 1092 1064 2259 0 0 0 0
normalized size 1 1. 0.97 2.07 0. 0. 0. 0.
time (sec) N/A 2.611 6.029 1.247 0. 0. 0. 0.


















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1092 1092 1055 3110 0 0 0 0
normalized size 1 1. 0.97 2.85 0. 0. 0. 0.
time (sec) N/A 1.248 6.063 0.734 0. 0. 0. 0.


















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 5.899 0.514 0. 0. 0. 0.


















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 4.091 0.421 0. 0. 0. 0.


















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 70 70 74 0 0 651 0 0
normalized size 1 1. 1.06 0. 0. 9.3 0. 0.
time (sec) N/A 0.099 0.117 0.313 0. 2.31 0. 0.


















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 146 146 190 0 0 1418 0 0
normalized size 1 1. 1.3 0. 0. 9.71 0. 0.
time (sec) N/A 0.16 0.24 0.323 0. 2.708 0. 0.


















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 188 0 0 2700 0 0
normalized size 1 1. 0.83 0. 0. 11.95 0. 0.
time (sec) N/A 0.825 0.433 0.325 0. 3.492 0. 0.


















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-2) F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 484 455 0 0 0 0 0 0
normalized size 1 0.94 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.376 5.318 22.783 0. 0. 0. 0.


















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 272 224 0 0 0 0 0
normalized size 1 0.93 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.415 0.28 8.931 0. 0. 0. 0.


















Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 148 122 0 0 0 0 0
normalized size 1 0.92 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.166 0.18 3.367 0. 0. 0. 0.


















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 8.545 0.883 0. 0. 0. 0.


















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 10.292 0.393 0. 0. 0. 0.


















Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 569 569 435 1194 944 1277 989 1642
normalized size 1 1. 0.76 2.1 1.66 2.24 1.74 2.89
time (sec) N/A 0.963 0.494 0.125 1.53 2.26 17.951 1.387


















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 291 635 590 790 595 915
normalized size 1 1. 0.87 1.9 1.76 2.36 1.78 2.73
time (sec) N/A 0.557 0.321 0.075 1.481 2.19 6.242 1.33


















Problem 661 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 156 156 148 276 298 400 279 400
normalized size 1 1. 0.95 1.77 1.91 2.56 1.79 2.56
time (sec) N/A 0.261 0.244 0.049 1.447 2.035 1.594 1.322


















Problem 662 Optimal Rubi Mathematica Maple 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 72 97 159 82 101
normalized size 1 1. 1. 1.53 2.06 3.38 1.74 2.15
time (sec) N/A 0.06 0.042 0.042 1.415 1.972 0.301 1.27


















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 821 821 1101 0 0 0 0 0
normalized size 1 1. 1.34 0. 0. 0. 0. 0.
time (sec) N/A 1.342 0.777 0.711 0. 0. 0. 0.


















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 16.879 0.379 0. 0. 0. 0.


















Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 12.131 0.368 0. 0. 0. 0.


















Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 3.918 0.293 0. 0. 0. 0.


















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 8.17 0.301 0. 0. 0. 0.


















Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 379 253 310 0 0 0 846
normalized size 1 0.98 0.65 0.8 0. 0. 0. 2.19
time (sec) N/A 0.77 0.615 0.046 0. 0. 0. 1.394


















Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 175 125 142 0 0 0 317
normalized size 1 0.98 0.7 0.79 0. 0. 0. 1.77
time (sec) N/A 0.335 0.268 0.038 0. 0. 0. 1.243


















Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 44 48 0 0 0 66
normalized size 1 1. 0.83 0.91 0. 0. 0. 1.25
time (sec) N/A 0.063 0.025 0.026 0. 0. 0. 1.328


















Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.684 0.523 0. 0. 0. 0.


















Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 3.451 1.979 0. 0. 0. 0.


















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 1.252 0.253 0. 0. 0. 0.


















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 1.101 0.235 0. 0. 0. 0.


















Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 1.57 0.184 0. 0. 0. 0.


















Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 3.787 0.185 0. 0. 0. 0.


















Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 498 486 359 795 0 0 0 3137
normalized size 1 0.98 0.72 1.6 0. 0. 0. 6.3
time (sec) N/A 0.761 2.081 0.092 0. 0. 0. 1.672


















Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 249 241 191 367 0 0 0 1222
normalized size 1 0.97 0.77 1.47 0. 0. 0. 4.91
time (sec) N/A 0.418 0.943 0.071 0. 0. 0. 1.491


















Problem 679 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 82 72 76 0 0 0 259
normalized size 1 0.95 0.84 0.88 0. 0. 0. 3.01
time (sec) N/A 0.168 0.163 0. 0. 0. 0. 1.305


















Problem 680 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 20.526 0.688 0. 0. 0. 0.


















Problem 681 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 49.753 2.052 0. 0. 0. 0.


















Problem 682 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 6.871 0.261 0. 0. 0. 0.


















Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 11.193 0.242 0. 0. 0. 0.


















Problem 684 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 25.026 0.187 0. 0. 0. 0.


















Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 48.412 0.185 0. 0. 0. 0.


















Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 754 754 400 1137 0 0 0 1751
normalized size 1 1. 0.53 1.51 0. 0. 0. 2.32
time (sec) N/A 2.265 1.56 0.159 0. 0. 0. 3.219


















Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 369 369 244 542 0 0 0 865
normalized size 1 1. 0.66 1.47 0. 0. 0. 2.34
time (sec) N/A 1.027 0.614 0.112 0. 0. 0. 2.384


















Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 119 178 0 0 0 266
normalized size 1 1. 0.99 1.48 0. 0. 0. 2.22
time (sec) N/A 0.271 0.093 0.001 0. 0. 0. 1.508


















Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 9.965 0.202 0. 0. 0. 0.


















Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 21.252 0.501 0. 0. 0. 0.


















Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 482 482 873 835 0 0 0 2699
normalized size 1 1. 1.81 1.73 0. 0. 0. 5.6
time (sec) N/A 1.424 10.102 0.154 0. 0. 0. 3.823


















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 291 270 0 0 0 879
normalized size 1 1. 1.83 1.7 0. 0. 0. 5.53
time (sec) N/A 0.232 2.742 0. 0. 0. 0. 2.181


















Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 3.384 0.204 0. 0. 0. 0.


















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 11.302 0.562 0. 0. 0. 0.


















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 679 679 401 545 0 0 0 1314
normalized size 1 1. 0.59 0.8 0. 0. 0. 1.94
time (sec) N/A 1.504 1.574 0.101 0. 0. 0. 3.086


















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 329 246 248 0 0 0 655
normalized size 1 1. 0.75 0.75 0. 0. 0. 1.99
time (sec) N/A 0.637 0.605 0.068 0. 0. 0. 2.567


















Problem 697 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F C
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 121 83 0 0 0 215
normalized size 1 1. 1.2 0.82 0. 0. 0. 2.13
time (sec) N/A 0.095 0.096 0. 0. 0. 0. 1.791


















Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.145 0.209 0. 0. 0. 0.


















Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.279 0.478 0. 0. 0. 0.


















Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 394 394 417 446 0 0 0 0
normalized size 1 1. 1.06 1.13 0. 0. 0. 0.
time (sec) N/A 0.798 1.173 0.113 0. 0. 0. 0.


















Problem 701 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 167 149 0 0 0 0
normalized size 1 1. 1.22 1.09 0. 0. 0. 0.
time (sec) N/A 0.268 0.308 0. 0. 0. 0. 0.


















Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.159 0.201 0. 0. 0. 0.


















Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.295 0.503 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [621] had the largest ratio of [ 0.7619 ]

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 5 5 1. 23 0.217







2 A 6 6 1. 23 0.261







3 A 5 5 1. 23 0.217







4 A 4 3 1. 21 0.143







5 A 5 4 1. 20 0.2







6 A 8 8 1. 23 0.348







7 A 6 7 1. 23 0.304







8 A 8 8 1. 23 0.348







9 A 6 7 1. 23 0.304







10 A 6 6 1. 25 0.24







11 A 7 8 1. 25 0.32







12 A 5 5 1. 25 0.2







13 A 5 3 1. 23 0.13







14 A 5 5 1. 22 0.227







15 A 12 8 1. 25 0.32







16 A 7 7 1. 25 0.28







17 A 12 10 1. 25 0.4







18 A 7 8 1. 25 0.32







19 A 5 5 1. 25 0.2







20 A 8 7 1. 25 0.28







21 A 5 5 1. 25 0.2







22 A 6 3 1. 23 0.13







23 A 5 5 1. 22 0.227







24 A 17 8 1. 25 0.32







25 A 7 7 1. 25 0.28







26 A 17 10 1. 25 0.4







27 A 8 8 1. 25 0.32







28 A 12 8 1. 25 0.32







29 A 8 8 1. 25 0.32







30 A 8 6 1. 25 0.24







31 A 5 5 1. 23 0.217







32 A 6 4 1. 22 0.182







33 A 7 5 1. 25 0.2







34 A 10 8 1. 25 0.32







35 A 9 7 1. 25 0.28







36 A 15 9 1. 25 0.36







37 A 12 9 1. 25 0.36







38 A 8 8 1. 25 0.32







39 A 8 6 1. 25 0.24







40 A 2 2 1. 23 0.087







41 A 8 6 1. 22 0.273







42 A 9 7 1. 25 0.28







43 A 13 11 1. 25 0.44







44 A 12 9 1. 25 0.36







45 A 19 11 1.1 25 0.44







46 A 12 8 1. 25 0.32







47 A 4 3 1. 25 0.12







48 A 10 7 1. 25 0.28







49 A 3 3 1. 23 0.13







50 A 10 6 1. 22 0.273







51 A 12 8 1. 25 0.32







52 A 16 11 1. 25 0.44







53 A 16 10 1. 25 0.4







54 A 23 11 1.16 25 0.44







55 A 7 4 1. 27 0.148







56 A 5 4 1. 27 0.148







57 A 3 3 1. 24 0.125







58 A 3 3 1. 27 0.111







59 A 3 2 1. 27 0.074







60 A 6 5 1. 27 0.185







61 A 7 5 1. 27 0.185







62 A 6 4 1. 27 0.148







63 A 6 4 1. 27 0.148







64 A 2 1 1. 25 0.04







65 A 8 6 1. 27 0.222







66 A 8 6 1. 27 0.222







67 A 10 7 1. 27 0.259







68 A 10 6 1. 27 0.222







69 A 8 6 1. 27 0.222







70 A 6 5 1. 24 0.208







71 A 6 5 1. 27 0.185







72 A 6 5 1. 27 0.185







73 A 4 3 1. 27 0.111







74 A 7 6 1. 27 0.222







75 A 8 6 1. 27 0.222







76 A 9 6 1. 27 0.222







77 A 7 5 1. 27 0.185







78 A 7 5 1. 27 0.185







79 A 7 5 1. 27 0.185







80 A 3 2 1. 25 0.08







81 A 10 7 1. 27 0.259







82 A 11 8 1. 27 0.296







83 A 11 8 1. 27 0.296







84 A 14 8 1. 27 0.296







85 A 12 8 1. 27 0.296







86 A 8 6 1. 24 0.25







87 A 10 8 1. 27 0.296







88 A 10 7 1. 27 0.259







89 A 10 7 1. 27 0.259







90 A 4 3 1. 27 0.111







91 A 8 7 1. 27 0.259







92 A 8 6 1. 27 0.222







93 A 7 5 1. 27 0.185







94 A 7 5 1. 27 0.185







95 A 3 2 1. 25 0.08







96 A 13 8 1. 27 0.296







97 A 13 9 1. 27 0.333







98 A 14 9 1. 27 0.333







99 A 3 3 1. 14 0.214







100 A 3 3 1.71 24 0.125







101 A 5 3 1. 22 0.136







102 A 4 4 1. 22 0.182







103 A 3 3 1. 22 0.136







104 A 2 2 1. 20 0.1







105 A 1 1 1. 19 0.053







106 A 6 4 1. 22 0.182







107 A 2 2 1. 22 0.091







108 A 8 6 1. 22 0.273







109 A 6 4 1. 27 0.148







110 A 6 4 1. 27 0.148







111 A 4 4 1. 27 0.148







112 A 4 4 1. 27 0.148







113 A 2 2 1. 25 0.08







114 A 2 2 1. 24 0.083







115 A 7 5 1. 27 0.185







116 A 2 2 1. 27 0.074







117 A 9 7 1. 27 0.259







118 A 4 4 1. 27 0.148







119 A 8 7 1.04 27 0.259







120 A 8 7 1. 27 0.259







121 A 5 5 1.03 27 0.185







122 A 4 4 1. 27 0.148







123 A 2 2 1. 25 0.08







124 A 2 2 1. 24 0.083







125 A 9 7 1. 27 0.259







126 A 7 7 1. 27 0.259







127 A 12 9 1. 27 0.333







128 A 11 8 1. 27 0.296







129 A 12 7 1. 27 0.259







130 A 9 6 1.07 27 0.222







131 A 8 6 1. 27 0.222







132 A 5 4 1.03 27 0.148







133 A 4 3 1. 27 0.111







134 A 3 3 1. 25 0.12







135 A 4 4 1. 24 0.167







136 A 12 8 1. 27 0.296







137 A 8 7 1. 27 0.259







138 A 16 11 1. 27 0.407







139 A 12 7 1. 27 0.259







140 A 6 4 1. 20 0.2







141 A 1 1 1. 30 0.033







142 A 2 2 1. 31 0.065







143 A 6 7 1. 25 0.28







144 A 5 6 1. 25 0.24







145 A 4 5 1. 23 0.217







146 A 0 0 0. 0 0.







147 A 0 0 0. 0 0.







148 A 0 0 0. 0 0.







149 A 9 6 1. 27 0.222







150 A 6 5 1. 27 0.185







151 A 3 3 1. 27 0.111







152 A 2 2 1. 27 0.074







153 A 4 4 1. 27 0.148







154 A 6 4 1. 27 0.148







155 A 1 1 1. 22 0.045







156 A 11 10 1. 25 0.4







157 A 14 6 1. 25 0.24







158 A 9 10 1. 25 0.4







159 A 7 6 1. 23 0.261







160 A 6 4 1. 22 0.182







161 A 10 10 1. 25 0.4







162 A 12 9 1. 25 0.36







163 A 10 10 1. 25 0.4







164 A 16 8 1. 25 0.32







165 A 16 11 1. 27 0.407







166 A 25 7 1. 27 0.259







167 A 14 11 1. 27 0.407







168 A 9 7 1. 25 0.28







169 A 10 5 1. 24 0.208







170 A 17 12 1. 27 0.444







171 A 17 11 1. 27 0.407







172 A 17 12 1. 27 0.444







173 A 24 10 1. 27 0.37







174 A 21 11 1. 27 0.407







175 A 40 9 1. 27 0.333







176 A 19 11 1. 27 0.407







177 A 11 7 1. 25 0.28







178 A 14 5 1. 24 0.208







179 A 26 13 1. 27 0.482







180 A 24 12 1. 27 0.444







181 A 28 15 1. 27 0.556







182 A 31 12 1. 27 0.444







183 A 16 10 1. 27 0.37







184 A 10 10 1. 27 0.37







185 A 11 8 1. 27 0.296







186 A 6 6 1. 25 0.24







187 A 8 5 1. 24 0.208







188 A 9 6 1. 27 0.222







189 A 15 10 1. 27 0.37







190 A 12 9 1. 27 0.333







191 A 24 11 1. 27 0.407







192 A 15 14 1. 27 0.518







193 A 10 9 1. 27 0.333







194 A 11 8 1. 27 0.296







195 A 3 3 1. 25 0.12







196 A 11 8 1. 24 0.333







197 A 12 9 1. 27 0.333







198 A 20 14 1. 27 0.518







199 A 17 15 1. 27 0.556







200 A 32 15 1. 27 0.556







201 A 16 13 1. 27 0.482







202 A 8 6 1. 27 0.222







203 A 15 10 1. 27 0.37







204 A 5 5 1. 25 0.2







205 A 15 9 1. 24 0.375







206 A 17 11 1. 27 0.407







207 A 27 15 1. 27 0.556







208 A 23 19 1. 27 0.704







209 A 43 17 1. 27 0.63







210 A 14 8 1. 29 0.276







211 A 10 6 1. 29 0.207







212 A 5 4 1. 27 0.148







213 A 5 5 1. 26 0.192







214 A 12 8 1. 29 0.276







215 A 7 7 1. 29 0.241







216 A 13 10 1. 29 0.345







217 A 9 9 1. 29 0.31







218 A 20 14 1. 29 0.483







219 A 17 11 1. 29 0.379







220 A 6 6 1. 27 0.222







221 A 10 8 1.01 26 0.308







222 A 17 12 1. 29 0.414







223 A 14 13 1. 29 0.448







224 A 18 15 1. 29 0.517







225 A 16 11 1. 29 0.379







226 A 27 18 1. 29 0.621







227 A 25 14 1. 29 0.483







228 A 6 6 1. 27 0.222







229 A 16 8 1. 26 0.308







230 A 23 16 1. 29 0.552







231 A 23 15 1. 29 0.517







232 A 25 20 1. 29 0.69







233 A 27 15 1. 29 0.517







234 A 14 7 1. 29 0.241







235 A 11 6 1. 29 0.207







236 A 9 7 1. 29 0.241







237 A 6 6 1.03 29 0.207







238 A 4 3 1. 27 0.111







239 A 2 2 1. 26 0.077







240 A 9 6 1. 29 0.207







241 A 6 6 1. 29 0.207







242 A 14 11 1. 29 0.379







243 A 9 9 1. 29 0.31







244 A 22 13 1. 29 0.448







245 A 15 13 1. 29 0.448







246 A 13 9 1. 29 0.31







247 A 8 8 1. 29 0.276







248 A 7 5 1. 27 0.185







249 A 6 6 1. 26 0.231







250 A 16 11 1. 29 0.379







251 A 14 10 1. 29 0.345







252 A 27 15 1. 29 0.517







253 A 24 11 1. 29 0.379







254 A 26 11 1. 29 0.379







255 A 17 10 1. 29 0.345







256 A 16 7 1. 29 0.241







257 A 9 9 1. 29 0.31







258 A 9 7 1. 27 0.259







259 A 9 9 1. 26 0.346







260 A 25 13 1. 29 0.448







261 A 19 14 1. 29 0.483







262 A 39 18 1. 29 0.621







263 A 32 15 1. 29 0.517







264 A 10 5 1. 24 0.208







265 A 8 7 1. 24 0.292







266 A 5 5 1. 24 0.208







267 A 3 3 1. 22 0.136







268 A 1 1 1. 21 0.048







269 A 8 5 1. 24 0.208







270 A 6 6 1. 24 0.25







271 A 13 10 1. 24 0.417







272 A 2 2 1. 22 0.091







273 A 6 6 1. 22 0.273







274 A 9 9 1. 22 0.409







275 A 13 10 1. 22 0.454







276 F 0 0 N/A 0 N/A







277 F 0 0 N/A 0 N/A







278 F 0 0 N/A 0 N/A







279 A 0 0 0. 0 0.







280 A 0 0 0. 0 0.







281 A 0 0 0. 0 0.







282 A 0 0 0. 0 0.







283 A 0 0 0. 0 0.







284 A 0 0 0. 0 0.







285 A 0 0 0. 0 0.







286 A 0 0 0. 0 0.







287 A 0 0 0. 0 0.







288 A 0 0 0. 0 0.







289 A 24 13 1. 20 0.65







290 A 17 11 1. 20 0.55







291 A 10 7 1. 18 0.389







292 A 10 6 1. 20 0.3







293 A 18 10 1. 20 0.5







294 A 28 11 1. 20 0.55







295 A 24 9 1. 22 0.409







296 A 14 8 1. 22 0.364







297 A 6 5 1. 22 0.227







298 A 2 2 1. 22 0.091







299 A 7 7 1. 22 0.318







300 A 11 11 1. 22 0.5







301 A 17 12 1. 22 0.546







302 A 0 0 0. 0 0.







303 A 13 4 1. 24 0.167







304 A 10 6 1. 24 0.25







305 A 6 4 1. 24 0.167







306 A 4 3 1. 22 0.136







307 A 1 1 1. 21 0.048







308 A 10 6 1. 24 0.25







309 A 7 7 1. 24 0.292







310 A 18 10 1. 24 0.417







311 A 7 3 1. 20 0.15







312 A 6 3 1. 20 0.15







313 A 5 3 1. 18 0.167







314 A 0 0 0. 0 0.







315 A 0 0 0. 0 0.







316 A 12 5 1. 28 0.179







317 A 12 5 0.98 28 0.179







318 A 6 5 1. 28 0.179







319 A 9 5 0.97 26 0.192







320 A 6 5 1. 25 0.2







321 A 0 0 0. 0 0.







322 A 0 0 0. 0 0.







323 A 0 0 0. 0 0.







324 A 0 0 0. 0 0.







325 A 15 5 0.98 28 0.179







326 A 12 5 1. 28 0.179







327 A 12 5 0.98 26 0.192







328 A 9 5 1. 25 0.2







329 A 0 0 0. 0 0.







330 A 0 0 0. 0 0.







331 A 0 0 0. 0 0.







332 A 0 0 0. 0 0.







333 A 15 5 0.98 28 0.179







334 A 15 5 1. 28 0.179







335 A 15 5 0.98 26 0.192







336 A 12 5 1. 25 0.2







337 A 0 0 0. 0 0.







338 A 0 0 0. 0 0.







339 A 0 0 0. 0 0.







340 A 0 0 0. 0 0.







341 A 5 3 1. 24 0.125







342 A 5 3 1. 24 0.125







343 A 4 3 1. 24 0.125







344 A 4 3 1. 24 0.125







345 A 2 2 1. 22 0.091







346 A 1 1 1. 21 0.048







347 A 0 0 0. 0 0.







348 A 0 0 0. 0 0.







349 A 12 5 0.98 28 0.179







350 A 9 5 1. 28 0.179







351 A 9 5 0.97 28 0.179







352 A 6 5 1. 28 0.179







353 A 4 4 0.93 26 0.154







354 A 1 1 1. 25 0.04







355 A 0 0 0. 0 0.







356 A 0 0 0. 0 0.







357 A 0 0 0. 0 0.







358 A 0 0 0. 0 0.







359 A 0 0 0. 0 0.







360 A 0 0 0. 0 0.







361 A 0 0 0. 0 0.







362 A 0 0 0. 0 0.







363 A 0 0 0. 0 0.







364 A 0 0 0. 0 0.







365 A 0 0 0. 0 0.







366 A 0 0 0. 0 0.







367 A 0 0 0. 0 0.







368 A 0 0 0. 0 0.







369 A 0 0 0. 0 0.







370 A 0 0 0. 0 0.







371 A 0 0 0. 0 0.







372 A 0 0 0. 0 0.







373 A 0 0 0. 0 0.







374 A 8 4 1. 20 0.2







375 A 7 4 1. 20 0.2







376 A 6 4 1. 18 0.222







377 A 0 0 0. 0 0.







378 A 0 0 0. 0 0.







379 A 2 1 1. 33 0.03







380 A 0 0 0. 0 0.







381 A 22 6 0.98 28 0.214







382 A 16 7 1. 28 0.25







383 A 14 7 1.32 26 0.269







384 A 7 7 1. 25 0.28







385 A 0 0 0. 0 0.







386 A 0 0 0. 0 0.







387 A 0 0 0. 0 0.







388 A 0 0 0. 0 0.







389 A 0 0 0. 0 0.







390 A 28 6 0.99 28 0.214







391 A 19 6 1. 28 0.214







392 A 22 8 0.98 26 0.308







393 A 10 6 1. 25 0.24







394 A 0 0 0. 0 0.







395 A 0 0 0. 0 0.







396 A 0 0 0. 0 0.







397 A 0 0 0. 0 0.







398 A 0 0 0. 0 0.







399 A 34 6 0.99 28 0.214







400 A 28 6 1. 28 0.214







401 A 28 8 0.99 26 0.308







402 A 13 6 1. 25 0.24







403 A 0 0 0. 0 0.







404 A 0 0 0. 0 0.







405 A 0 0 0. 0 0.







406 A 0 0 0. 0 0.







407 A 0 0 0. 0 0.







408 A 13 6 0.98 28 0.214







409 A 10 6 1. 28 0.214







410 A 10 6 0.97 28 0.214







411 A 7 7 1. 28 0.25







412 A 5 5 1. 26 0.192







413 A 1 1 1. 25 0.04







414 A 0 0 0. 0 0.







415 A 0 0 0. 0 0.







416 A 0 0 0. 0 0.







417 A 0 0 0. 0 0.







418 A 0 0 0. 0 0.







419 A 0 0 0. 0 0.







420 A 0 0 0. 0 0.







421 A 0 0 0. 0 0.







422 A 0 0 0. 0 0.







423 A 0 0 0. 0 0.







424 A 0 0 0. 0 0.







425 A 0 0 0. 0 0.







426 A 0 0 0. 0 0.







427 A 0 0 0. 0 0.







428 A 0 0 0. 0 0.







429 A 0 0 0. 0 0.







430 A 1 1 1. 21 0.048







431 A 27 8 1. 27 0.296







432 A 32 8 1. 27 0.296







433 A 17 10 1. 25 0.4







434 A 14 8 1. 24 0.333







435 A 0 0 0. 0 0.







436 A 32 8 1. 29 0.276







437 A 42 8 1. 29 0.276







438 A 32 10 1. 27 0.37







439 A 19 8 1. 26 0.308







440 A 0 0 0. 0 0.







441 A 3 2 1. 38 0.053







442 A 15 9 1. 24 0.375







443 A 7 7 1. 24 0.292







444 A 2 2 1. 24 0.083







445 A 0 0 0. 0 0.







446 A 0 0 0. 0 0.







447 A 17 10 1. 24 0.417







448 A 8 7 1. 24 0.292







449 A 2 2 1. 24 0.083







450 A 0 0 0. 0 0.







451 A 27 12 1. 24 0.5







452 A 10 9 1. 24 0.375







453 A 2 2 1. 24 0.083







454 A 0 0 0. 0 0.







455 A 15 9 1. 24 0.375







456 A 7 7 1. 24 0.292







457 A 2 2 1. 24 0.083







458 A 0 0 0. 0 0.







459 A 0 0 0. 0 0.







460 A 17 10 1. 24 0.417







461 A 8 7 1. 24 0.292







462 A 2 2 1. 24 0.083







463 A 0 0 0. 0 0.







464 A 3 3 1. 19 0.158







465 A 10 5 1. 24 0.208







466 A 8 5 1. 24 0.208







467 A 6 5 1. 24 0.208







468 A 2 2 1. 24 0.083







469 A 0 0 0. 0 0.







470 A 0 0 0. 0 0.







471 A 10 5 1. 24 0.208







472 A 8 5 1. 24 0.208







473 A 6 6 1. 24 0.25







474 A 2 2 1. 24 0.083







475 A 0 0 0. 0 0.







476 A 0 0 0. 0 0.







477 A 12 8 1. 24 0.333







478 A 4 4 1. 24 0.167







479 A 2 2 1. 24 0.083







480 A 0 0 0. 0 0.







481 A 0 0 0. 0 0.







482 A 7 5 1. 29 0.172







483 A 10 5 1. 27 0.185







484 A 7 5 1. 26 0.192







485 A 0 0 0. 0 0.







486 A 0 0 0. 0 0.







487 A 13 5 1. 29 0.172







488 A 13 5 1. 27 0.185







489 A 10 5 1. 26 0.192







490 A 0 0 0. 0 0.







491 A 0 0 0. 0 0.







492 A 16 5 1. 29 0.172







493 A 16 5 1. 27 0.185







494 A 13 5 1. 26 0.192







495 A 0 0 0. 0 0.







496 A 0 0 0. 0 0.







497 A 0 0 0. 0 0.







498 A 9 4 1. 24 0.167







499 A 6 4 1. 24 0.167







500 A 4 3 1. 22 0.136







501 A 1 1 1. 21 0.048







502 A 0 0 0. 0 0.







503 A 0 0 0. 0 0.







504 A 13 8 1. 30 0.267







505 A 8 6 1. 30 0.2







506 A 4 4 1. 30 0.133







507 A 6 5 1. 30 0.167







508 A 8 8 1. 30 0.267







509 A 6 6 1. 30 0.2







510 A 12 9 1. 30 0.3







511 A 7 6 1. 30 0.2







512 A 8 6 1. 30 0.2







513 A 9 7 1. 30 0.233







514 A 10 10 1. 30 0.333







515 A 9 9 1. 30 0.3







516 A 9 7 1. 30 0.233







517 A 12 9 1. 30 0.3







518 A 13 8 1. 30 0.267







519 A 13 7 1. 30 0.233







520 A 7 9 1. 30 0.3







521 A 10 8 1. 30 0.267







522 A 13 7 1. 30 0.233







523 A 9 7 1. 30 0.233







524 A 6 5 1. 30 0.167







525 A 2 2 1. 30 0.067







526 A 5 6 1. 30 0.2







527 A 8 8 1. 30 0.267







528 A 7 9 1. 30 0.3







529 A 10 10 1. 30 0.333







530 A 8 8 1. 30 0.267







531 A 5 6 1. 30 0.2







532 A 3 3 1. 30 0.1







533 A 8 8 1. 30 0.267







534 A 10 8 1. 30 0.267







535 A 9 9 1. 30 0.3







536 A 6 6 1. 30 0.2







537 A 8 8 1. 30 0.267







538 A 8 8 1. 30 0.267







539 A 5 5 1. 30 0.167







540 A 23 13 1. 32 0.406







541 A 13 11 1. 32 0.344







542 A 6 6 1. 32 0.188







543 A 8 6 1. 32 0.188







544 A 19 13 1. 32 0.406







545 A 20 12 1. 32 0.375







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547 A 11 9 1. 32 0.281







548 A 13 11 1. 32 0.344







549 A 11 9 1. 32 0.281







550 A 23 15 1. 32 0.469







551 A 21 13 1. 32 0.406







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554 A 23 13 1. 32 0.406







555 A 17 10 1. 32 0.312







556 A 28 19 1. 32 0.594







557 A 25 16 1. 32 0.5







558 A 17 10 1. 32 0.312







559 A 11 9 1. 32 0.281







560 A 8 6 1. 32 0.188







561 A 2 2 1. 32 0.062







562 A 16 11 1. 32 0.344







563 A 30 18 1. 32 0.562







564 A 28 19 1. 32 0.594







565 A 23 15 1. 32 0.469







566 A 19 13 1. 32 0.406







567 A 16 11 1. 32 0.344







568 A 7 7 1. 32 0.219







569 A 21 14 1. 32 0.438







570 A 25 16 1. 32 0.5







571 A 21 13 1. 32 0.406







572 A 20 12 1. 32 0.375







573 A 30 18 1. 32 0.562







574 A 21 14 1. 32 0.438







575 A 10 10 1. 32 0.312







576 A 11 7 1. 35 0.2







577 A 6 5 1. 33 0.152







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579 A 13 9 1. 35 0.257







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581 A 18 12 1. 35 0.343







582 A 7 7 1. 33 0.212







583 A 11 9 1. 32 0.281







584 A 18 13 1. 35 0.371







585 A 15 14 1. 35 0.4







586 A 6 6 1. 35 0.171







587 A 5 4 1. 33 0.121







588 A 2 2 1. 32 0.062







589 A 9 6 1. 35 0.171







590 A 7 7 1. 35 0.2







591 A 8 8 1. 35 0.229







592 A 8 6 1. 33 0.182







593 A 7 7 1. 32 0.219







594 A 16 11 1. 35 0.314







595 A 15 11 1. 35 0.314







596 A 5 5 1. 19 0.263







597 A 6 6 1. 19 0.316







598 A 5 5 1. 19 0.263







599 A 4 4 1. 17 0.235







600 A 4 3 1. 16 0.188







601 A 12 12 1. 19 0.632







602 A 5 6 1. 19 0.316







603 A 10 10 1. 19 0.526







604 A 6 7 1. 19 0.368







605 A 6 6 1. 21 0.286







606 A 7 8 1. 21 0.381







607 A 5 5 1. 21 0.238







608 A 5 5 1. 19 0.263







609 A 5 5 1. 18 0.278







610 A 14 12 1. 21 0.571







611 A 6 6 1. 21 0.286







612 A 13 14 1. 21 0.667







613 A 6 7 1. 21 0.333







614 A 5 5 1. 21 0.238







615 A 8 7 1. 21 0.333







616 A 5 5 1. 21 0.238







617 A 6 5 1. 19 0.263







618 A 5 5 1. 18 0.278







619 A 19 13 1. 21 0.619







620 A 6 6 1. 21 0.286







621 A 15 16 1. 21 0.762







622 A 8 8 1. 21 0.381







623 A 5 5 1. 18 0.278







624 A 27 12 1. 21 0.571







625 A 23 9 1. 21 0.429







626 A 23 9 1. 21 0.429







627 A 18 6 1. 19 0.316







628 A 18 6 1. 18 0.333







629 A 25 8 1. 21 0.381







630 A 24 11 1. 21 0.524







631 A 27 10 1. 21 0.476







632 A 29 12 1. 21 0.571







633 A 23 9 1. 21 0.429







634 A 3 3 1. 19 0.158







635 A 28 11 1. 21 0.524







636 A 30 13 1. 21 0.619







637 A 49 12 1. 21 0.571







638 A 46 10 1. 21 0.476







639 A 26 9 1. 18 0.5







640 A 50 14 1. 21 0.667







641 A 27 10 1. 21 0.476







642 A 7 8 1. 21 0.381







643 A 4 4 1. 19 0.21







644 A 32 12 1. 21 0.571







645 A 34 14 1. 21 0.667







646 A 80 11 1. 21 0.524







647 A 62 11 1. 21 0.524







648 A 34 10 1. 18 0.556







649 A 0 0 0. 0 0.







650 A 0 0 0. 0 0.







651 A 6 7 1. 20 0.35







652 A 7 9 1. 20 0.45







653 A 8 10 1. 20 0.5







654 A 6 7 0.94 23 0.304







655 A 5 6 0.93 23 0.261







656 A 4 5 0.92 21 0.238







657 A 0 0 0. 0 0.







658 A 0 0 0. 0 0.







659 A 26 7 1. 20 0.35







660 A 17 7 1. 20 0.35







661 A 10 7 1. 18 0.389







662 A 3 3 1. 10 0.3







663 A 22 7 1. 20 0.35







664 A 0 0 0. 0 0.







665 A 0 0 0. 0 0.







666 A 0 0 0. 0 0.







667 A 0 0 0. 0 0.







668 A 27 7 0.98 20 0.35







669 A 15 7 0.98 18 0.389







670 A 4 4 1. 10 0.4







671 A 0 0 0. 0 0.







672 A 0 0 0. 0 0.







673 A 0 0 0. 0 0.







674 A 0 0 0. 0 0.







675 A 0 0 0. 0 0.







676 A 0 0 0. 0 0.







677 A 26 7 0.98 20 0.35







678 A 15 7 0.97 18 0.389







679 A 5 5 0.95 10 0.5







680 A 0 0 0. 0 0.







681 A 0 0 0. 0 0.







682 A 0 0 0. 0 0.







683 A 0 0 0. 0 0.







684 A 0 0 0. 0 0.







685 A 0 0 0. 0 0.







686 A 42 10 1. 22 0.454







687 A 23 10 1. 20 0.5







688 A 7 7 1. 12 0.583







689 A 0 0 0. 0 0.







690 A 0 0 0. 0 0.







691 A 32 13 1. 20 0.65







692 A 8 8 1. 12 0.667







693 A 0 0 0. 0 0.







694 A 0 0 0. 0 0.







695 A 39 9 1. 22 0.409







696 A 21 9 1. 20 0.45







697 A 6 6 1. 12 0.5







698 A 0 0 0. 0 0.







699 A 0 0 0. 0 0.







700 A 21 9 1. 20 0.45







701 A 7 7 1. 12 0.583







702 A 0 0 0. 0 0.







703 A 0 0 0. 0 0.