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, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 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 }

B grade: { 73 }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 39, 40, 41, 46, 47, 48, 49, 50, 51, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 227, 229, 231, 234, 236, 237, 238, 240, 242, 243, 244, 245, 246, 247, 249, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 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, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 582, 583, 584, 585, 588, 589, 590, 592, 593, 596, 597, 599, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 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, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663 }

B grade: { 31, 33, 35, 42, 44, 228, 230, 233, 241, 331, 551, 564, 581, 586, 587, 591, 594, 595, 598, 600, 601 }

C grade: { 38, 43, 45, 52, 54, 226, 232, 235, 239, 248, 250, 348, 612, 649, 650, 651 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 52, 54, 55, 56, 59, 61, 63, 64, 66, 67, 69, 71, 72, 74, 75, 77, 79, 80, 81, 82, 83, 84, 86, 88, 96, 98, 107, 109, 112, 113, 114, 115, 116, 117, 119, 124, 126, 129, 132, 134, 137, 139, 140, 142, 144, 150, 151, 153, 158, 161, 162, 163, 172, 174, 177, 178, 179, 180, 181, 182, 184, 188, 189, 190, 198, 199, 200, 201, 202, 204, 206, 207, 208, 209, 210, 211, 213, 215, 216, 217, 218, 219, 220, 222, 224, 226, 228, 252, 282, 283, 284, 285, 286, 287, 288, 289, 300, 302, 305, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 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, 415, 416, 417, 418, 423, 424, 425, 426, 431, 432, 433, 434, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 466, 471, 474, 475, 476, 479, 480, 483, 484, 487, 488, 489, 492, 493, 498, 499, 500, 504, 505, 506, 509, 510, 511, 515, 516, 520, 521, 525, 526, 527, 531, 532, 533, 606, 607, 608, 609, 610, 615, 616, 618, 619, 620, 621, 622, 623, 625, 626, 627, 628, 632, 633, 636, 637, 641, 642, 645, 646, 647, 648, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663 }

B grade: { 42, 51, 53, 57, 58, 60, 62, 65, 68, 70, 73, 76, 78, 85, 87, 89, 91, 93, 95, 97, 99, 100, 102, 104, 106, 108, 110, 111, 118, 120, 121, 122, 123, 125, 127, 128, 130, 131, 133, 135, 136, 138, 141, 143, 145, 146, 147, 148, 149, 152, 154, 156, 160, 164, 165, 167, 169, 171, 173, 175, 176, 183, 203, 205, 212, 214, 221, 223, 230, 232, 235, 237, 239, 241, 244, 246, 248, 250, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 303, 304, 307, 309, 310, 311, 312, 313, 314, 315, 317, 319, 411, 412, 413, 414, 419, 420, 421, 422, 427, 428, 429, 430, 435, 436, 437, 438, 439, 613, 614, 624 }

C grade: { 90, 92, 94, 101, 103, 105, 155, 157, 159, 166, 168, 170, 611, 612 }

F grade: { 185, 186, 187, 191, 192, 193, 194, 195, 196, 197, 225, 227, 229, 231, 233, 234, 236, 238, 240, 242, 243, 245, 247, 249, 251, 306, 308, 316, 318, 331, 332, 333, 462, 463, 464, 465, 467, 468, 469, 470, 472, 473, 477, 478, 481, 482, 485, 486, 490, 491, 494, 495, 496, 497, 501, 502, 503, 507, 508, 512, 513, 514, 517, 518, 519, 522, 523, 524, 528, 529, 530, 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, 617, 629, 630, 631, 634, 635, 638, 639, 640, 643, 644, 649, 650, 651 }

2.1.4 Maxima

A grade: { 1, 2, 3, 5, 7, 9, 12, 14, 16, 18, 23, 25, 27, 55, 57, 63, 65, 71, 73, 79, 80, 82, 84, 89, 92, 95, 97, 103, 106, 110, 111, 112, 113, 114, 115, 116, 118, 122, 130, 138, 144, 149, 160, 168, 169, 171, 176, 177, 178, 179, 180, 181, 183, 188, 189, 190, 198, 200, 260, 268, 276, 283, 285, 286, 294, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 341, 343, 345, 346, 353, 354, 360, 361, 362, 363, 368, 369, 370, 371, 376, 377, 378, 379, 385, 386, 387, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 409, 410, 415, 416, 417, 418, 423, 424, 425, 426, 431, 432, 433, 434, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 466, 471, 475, 476, 480, 484, 488, 489, 493, 499, 500, 505, 506, 510, 511, 515, 516, 520, 521, 525, 526, 527, 532, 533, 562, 569, 606, 607, 608, 609, 610, 613, 614, 615, 616, 622, 623, 627, 628, 633, 637, 641, 642, 645, 646, 655, 656, 657, 658, 659, 660, 661, 662, 663

B grade: { 4, 10, 11, 13, 19, 20, 21, 22, 62, 85, 87, 104, 199, 201, 202, 207, 208, 209, 210, 211, 216, 217, 218, 219, 220, 255 }

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, 56, 58, 59, 60, 61, 64, 66, 67, 68, 69, 70, 72, 74, 75, 76, 77, 78, 81, 83, 86, 88, 90, 91, 93, 94, 96, 98, 99, 100, 101, 102, 105, 107, 108, 109, 117, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 145, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 162, 163, 164, 165, 166, 167, 170, 172, 173, 174, 175, 182, 184, 185, 186, 187, 191, 192, 193, 194, 195, 196, 197, 203, 204, 205, 206, 212, 213, 214, 215, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 256, 257, 258, 259, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 275, 277, 278, 279, 280, 281, 282, 284, 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, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 344, 347, 348, 349, 350, 351, 352, 355, 356, 357, 358, 359, 364, 365, 366, 367, 372, 373, 374, 375, 380, 381, 382, 383, 384, 388, 389, 390, 391, 392, 406, 407, 408, 411, 412, 413, 414, 419, 420, 421, 422, 427, 428, 429, 430, 435, 436, 437, 438, 439, 462, 463, 464, 465, 467, 468, 469, 470, 472, 473, 474, 477, 478, 479, 481, 482, 483, 485, 486, 487, 490, 491, 492, 494, 495, 496, 497, 498, 501, 502, 503, 504, 507, 508, 509, 512, 513, 514, 517, 518, 519, 522, 523, 524, 528, 529, 530, 531, 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, 563, 564, 565, 566, 567, 568, 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, 611, 612, 617, 618, 619, 620, 621, 624, 625, 626, 629, 630, 631, 632, 634, 635, 636, 638, 639, 640, 643, 644, 647, 648, 649, 650, 651, 652, 653, 654 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 25, 27, 40, 47, 49, 55, 63, 79, 80, 82, 90, 101, 112, 113, 114, 115, 118, 120, 122, 128, 130, 136, 138, 144, 145, 147, 149, 154, 155, 157, 166, 168, 170, 177, 178, 179, 180, 183, 188, 189, 190, 198, 199, 200, 201, 202, 207, 208, 209, 210, 211, 216, 217, 218, 219, 220, 244, 258, 260, 266, 268, 274, 276, 282, 283, 284, 285, 290, 292, 294, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 341, 342, 343, 344, 345, 353, 354, 360, 361, 362, 363, 368, 369, 370, 371, 376, 377, 378, 379, 386, 387, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 409, 410, 415, 416, 417, 418, 423, 424, 425, 426, 431, 432, 433, 434, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 487, 492, 504, 509, 515, 516, 520, 521, 525, 526, 527, 532, 533, 606, 607, 608, 609, 610, 613, 614, 615, 622, 623, 627, 628, 647, 648, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663 }

B grade: { 7, 9, 16, 18, 57, 62, 65, 71, 73, 84, 87, 89, 92, 94, 103, 105, 116, 127, 152, 159, 181, 237, 246, 286, 346, 385, 461, 531, 539, 556, 557, 561, 566, 567, 616, 649, 650, 651 }

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, 56, 58, 59, 60, 61, 64, 66, 67, 68, 69, 70, 72, 74, 75, 76, 77, 78, 81, 83, 85, 86, 88, 91, 93, 95, 96, 97, 98, 99, 100, 102, 104, 106, 107, 108, 109, 110, 111, 117, 119, 121, 123, 124, 125, 126, 129, 131, 132, 133, 134, 135, 137, 139, 140, 141, 142, 143, 146, 148, 150, 151, 153, 156, 158, 160, 161, 162, 163, 164, 165, 167, 169, 171, 172, 173, 174, 175, 176, 182, 184, 185, 186, 187, 191, 192, 193, 194, 195, 196, 197, 203, 204, 205, 206, 212, 213, 214, 215, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 245, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 259, 261, 262, 263, 264, 265, 267, 269, 270, 271, 272, 273, 275, 277, 278, 279, 280, 281, 287, 288, 289, 291, 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, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 351, 352, 355, 356, 357, 358, 359, 364, 365, 366, 367, 372, 373, 374, 375, 380, 381, 382, 383, 384, 388, 389, 390, 391, 392, 406, 407, 408, 411, 412, 413, 414, 419, 420, 421, 422, 427, 428, 429, 430, 435, 436, 437, 438, 439, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 488, 489, 490, 491, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 505, 506, 507, 508, 510, 511, 512, 513, 514, 517, 518, 519, 522, 523, 524, 528, 529, 530, 534, 535, 536, 537, 538, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 558, 559, 560, 562, 563, 564, 565, 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, 611, 612, 617, 618, 619, 620, 621, 624, 625, 626, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 55, 57, 65, 66, 80, 81, 82, 83, 84, 85, 112, 113, 114, 115, 116, 177, 178, 179, 180, 181, 188, 189, 198, 199, 200, 201, 202, 207, 208, 209, 210, 211, 216, 217, 218, 219, 220, 253, 255, 282, 283, 284, 285, 286, 324, 325, 327, 328, 329, 330, 341, 342, 343, 344, 345, 346, 353, 354, 360, 361, 362, 363, 368, 369, 370, 385, 386, 387, 394, 395, 396, 397, 398, 399, 400, 403, 404, 405, 409, 410, 415, 416, 417, 418, 423, 424, 425, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 457, 458, 459, 461, 466, 471, 475, 480, 488, 493, 499, 515, 516, 527, 531, 532, 533, 606, 607, 608, 609, 610, 613, 614, 615, 616, 622, 632, 633, 636, 641, 645, 647, 648, 652, 653, 654, 656, 657, 658, 659, 660, 661, 662 }

B grade: { 60 }

C grade: { }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 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, 56, 58, 59, 61, 62, 63, 64, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 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, 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, 182, 183, 184, 185, 186, 187, 190, 191, 192, 193, 194, 195, 196, 197, 203, 204, 205, 206, 212, 213, 214, 215, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 254, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 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, 326, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 351, 352, 355, 356, 357, 358, 359, 364, 365, 366, 367, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 388, 389, 390, 391, 392, 393, 401, 402, 406, 407, 408, 411, 412, 413, 414, 419, 420, 421, 422, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 454, 455, 456, 460, 462, 463, 464, 465, 467, 468, 469, 470, 472, 473, 474, 476, 477, 478, 479, 481, 482, 483, 484, 485, 486, 487, 489, 490, 491, 492, 494, 495, 496, 497, 498, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 528, 529, 530, 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, 611, 612, 617, 618, 619, 620, 621, 623, 624, 625, 626, 627, 628, 629, 630, 631, 634, 635, 637, 638, 639, 640, 642, 643, 644, 646, 649, 650, 651, 655, 663 }

2.1.7 Giac

A grade: { 1, 2, 3, 5, 10, 12, 14, 111, 113, 115, 176, 178, 180, 188, 189, 190, 198, 283, 285, 324, 325, 326, 327, 328, 329, 330, 341, 343, 345, 353, 354, 360, 361, 362, 363, 368, 369, 370, 371, 376, 377, 378, 379, 386, 387, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 409, 410, 415, 416, 417, 418, 423, 424, 425, 426, 431, 432, 433, 434, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 466, 471, 475, 476, 480, 484, 488, 489, 493, 499, 500, 505, 506, 510, 511, 515, 516, 520, 521, 525, 526, 527, 531, 532, 533, 606, 607, 608, 609, 610, 613, 614, 622, 623, 627, 628, 632, 633, 636, 637, 641, 642, 645, 646, 647, 648, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663 }

B grade: { 4, 11, 13, 19, 20, 21, 22, 23, 116, 118, 181, 183, 200, 202, 207, 209, 211, 220, 286, 346, 385, 461, 615, 616 }

C grade: { }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 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, 112, 114, 117, 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, 177, 179, 182, 184, 185, 186, 187, 191, 192, 193, 194, 195, 196, 197, 199, 201, 203, 204, 205, 206, 208, 210, 212, 213, 214, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 284, 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, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 344, 347, 348, 349, 350, 351, 352, 355, 356, 357, 358, 359, 364, 365, 366, 367, 372, 373, 374, 375, 380, 381, 382, 383, 384, 388, 389, 390, 391, 392, 406, 407, 408, 411, 412, 413, 414, 419, 420, 421, 422, 427, 428, 429, 430, 435, 436, 437, 438, 439, 462, 463, 464, 465, 467, 468, 469, 470, 472, 473, 474, 477, 478, 479, 481, 482, 483, 485, 486, 487, 490, 491, 492, 494, 495, 496, 497, 498, 501, 502, 503, 504, 507, 508, 509, 512, 513, 514, 517, 518, 519, 522, 523, 524, 528, 529, 530, 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, 611, 612, 617, 618, 619, 620, 621, 624, 625, 626, 629, 630, 631, 634, 635, 638, 639, 640, 643, 644, 649, 650, 651 }

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 124 124 87 124 248 265 151 238
normalized size 1 1. 0.7 1. 2. 2.14 1.22 1.92
time (sec) N/A 0.119 0.094 0.009 1.204 2.255 7.977 1.498


















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 120 120 88 113 257 242 138 273
normalized size 1 1. 0.73 0.94 2.14 2.02 1.15 2.28
time (sec) N/A 0.098 0.055 0.009 1.155 2.502 5.181 1.581


















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 102 102 78 105 196 234 126 200
normalized size 1 1. 0.76 1.03 1.92 2.29 1.24 1.96
time (sec) N/A 0.102 0.083 0.004 1.156 2.709 2.756 1.443


















Problem 4 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 87 87 77 94 204 220 117 242
normalized size 1 1. 0.89 1.08 2.34 2.53 1.34 2.78
time (sec) N/A 0.041 0.052 0.006 1.157 2.666 1.458 1.699


















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 75 75 86 76 131 184 90 151
normalized size 1 1. 1.15 1.01 1.75 2.45 1.2 2.01
time (sec) N/A 0.06 0.042 0.006 1.114 2.609 0.729 1.369


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 111 111 113 162 0 0 0 0
normalized size 1 1. 1.02 1.46 0. 0. 0. 0.
time (sec) N/A 0.123 0.061 0.086 0. 0. 0. 0.


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 74 69 89 346 0 0
normalized size 1 1. 1.12 1.05 1.35 5.24 0. 0.
time (sec) N/A 0.081 0.027 0.009 1.097 2.617 0. 0.


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 128 128 111 175 0 0 0 0
normalized size 1 1. 0.87 1.37 0. 0. 0. 0.
time (sec) N/A 0.126 0.06 0.167 0. 0. 0. 0.


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 93 87 128 396 0 0
normalized size 1 1. 1.16 1.09 1.6 4.95 0. 0.
time (sec) N/A 0.084 0.034 0.012 1.086 2.675 0. 0.


















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 181 181 119 167 431 387 230 402
normalized size 1 1. 0.66 0.92 2.38 2.14 1.27 2.22
time (sec) N/A 0.208 0.097 0.01 1.185 2.346 24.185 1.606


















Problem 11 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 180 180 115 156 443 373 218 451
normalized size 1 1. 0.64 0.87 2.46 2.07 1.21 2.51
time (sec) N/A 0.175 0.082 0.009 1.213 2.159 16.442 1.799


















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 157 157 111 148 352 351 202 347
normalized size 1 1. 0.71 0.94 2.24 2.24 1.29 2.21
time (sec) N/A 0.169 0.085 0.003 1.189 2.437 9.197 1.714


















Problem 13 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 120 120 104 137 365 328 190 405
normalized size 1 1. 0.87 1.14 3.04 2.73 1.58 3.38
time (sec) N/A 0.065 0.133 0.005 1.053 2.327 5.811 1.776


















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 128 128 95 119 262 296 165 281
normalized size 1 1. 0.74 0.93 2.05 2.31 1.29 2.2
time (sec) N/A 0.102 0.12 0.005 1.194 2.437 2.868 1.569


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 172 172 173 231 0 0 0 0
normalized size 1 1. 1.01 1.34 0. 0. 0. 0.
time (sec) N/A 0.203 0.2 0.116 0. 0. 0. 0.


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 124 114 196 505 0 0
normalized size 1 1. 1.03 0.95 1.63 4.21 0. 0.
time (sec) N/A 0.157 0.124 0.009 1.171 2.639 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 187 187 143 262 0 0 0 0
normalized size 1 1. 0.76 1.4 0. 0. 0. 0.
time (sec) N/A 0.211 0.343 0.244 0. 0. 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 133 114 190 525 0 0
normalized size 1 1. 1.06 0.9 1.51 4.17 0. 0.
time (sec) N/A 0.159 0.126 0.012 1.124 3.06 0. 0.


















Problem 19 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 226 226 143 206 628 509 289 574
normalized size 1 1. 0.63 0.91 2.78 2.25 1.28 2.54
time (sec) N/A 0.281 0.125 0.017 1.086 2.701 62.296 1.824


















Problem 20 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 199 199 139 195 644 474 280 633
normalized size 1 1. 0.7 0.98 3.24 2.38 1.41 3.18
time (sec) N/A 0.169 0.117 0.013 1.183 2.515 42.718 1.896


















Problem 21 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 202 202 135 187 524 448 265 501
normalized size 1 1. 0.67 0.93 2.59 2.22 1.31 2.48
time (sec) N/A 0.249 0.103 0.008 1.178 2.533 23.759 1.835


















Problem 22 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 145 145 128 176 540 424 253 572
normalized size 1 1. 0.88 1.21 3.72 2.92 1.74 3.94
time (sec) N/A 0.07 0.174 0.004 1.127 2.399 16.028 2.01


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 119 156 406 387 221 416
normalized size 1 1. 0.7 0.92 2.39 2.28 1.3 2.45
time (sec) N/A 0.161 0.165 0.006 1.143 2.323 8.666 1.676


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 221 221 189 284 0 0 0 0
normalized size 1 1. 0.86 1.29 0. 0. 0. 0.
time (sec) N/A 0.284 0.141 0.135 0. 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 163 151 315 616 0 0
normalized size 1 1. 1.02 0.94 1.97 3.85 0. 0.
time (sec) N/A 0.221 0.166 0.008 1.245 2.779 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 249 249 184 313 0 0 0 0
normalized size 1 1. 0.74 1.26 0. 0. 0. 0.
time (sec) N/A 0.303 0.436 0.285 0. 0. 0. 0.


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 171 155 286 624 0 0
normalized size 1 1. 0.98 0.89 1.64 3.59 0. 0.
time (sec) N/A 0.256 0.163 0.01 1.138 3.072 0. 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 156 156 170 266 0 0 0 0
normalized size 1 1. 1.09 1.71 0. 0. 0. 0.
time (sec) N/A 0.241 0.232 0.158 0. 0. 0. 0.


















Problem 29 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 135 135 181 161 0 0 0 0
normalized size 1 1. 1.34 1.19 0. 0. 0. 0.
time (sec) N/A 0.195 0.202 0.081 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 108 108 121 215 0 0 0 0
normalized size 1 1. 1.12 1.99 0. 0. 0. 0.
time (sec) N/A 0.14 0.155 0.009 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 73 73 167 98 0 0 0 0
normalized size 1 1. 2.29 1.34 0. 0. 0. 0.
time (sec) N/A 0.117 0.069 0.033 0. 0. 0. 0.


















Problem 32 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 70 70 135 171 0 0 0 0
normalized size 1 1. 1.93 2.44 0. 0. 0. 0.
time (sec) N/A 0.064 0.103 0.036 0. 0. 0. 0.


















Problem 33 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 61 61 207 74 0 0 0 0
normalized size 1 1. 3.39 1.21 0. 0. 0. 0.
time (sec) N/A 0.117 0.09 0.042 0. 0. 0. 0.


















Problem 34 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 101 101 182 202 0 0 0 0
normalized size 1 1. 1.8 2. 0. 0. 0. 0.
time (sec) N/A 0.15 0.163 0.013 0. 0. 0. 0.


















Problem 35 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 113 113 240 266 0 0 0 0
normalized size 1 1. 2.12 2.35 0. 0. 0. 0.
time (sec) N/A 0.198 0.272 0.097 0. 0. 0. 0.


















Problem 36 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 156 156 247 261 0 0 0 0
normalized size 1 1. 1.58 1.67 0. 0. 0. 0.
time (sec) N/A 0.247 0.213 0.016 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 171 171 268 285 0 0 0 0
normalized size 1 1. 1.57 1.67 0. 0. 0. 0.
time (sec) N/A 0.241 0.339 0.016 0. 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 145 145 241 206 0 0 0 0
normalized size 1 1. 1.66 1.42 0. 0. 0. 0.
time (sec) N/A 0.191 0.219 0.141 0. 0. 0. 0.


















Problem 39 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 127 127 221 240 0 0 0 0
normalized size 1 1. 1.74 1.89 0. 0. 0. 0.
time (sec) N/A 0.134 0.264 0.012 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 74 61 0 135 0 0
normalized size 1 1. 1.35 1.11 0. 2.45 0. 0.
time (sec) N/A 0.05 0.067 0.006 0. 2.393 0. 0.


















Problem 41 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 124 124 216 234 0 0 0 0
normalized size 1 1. 1.74 1.89 0. 0. 0. 0.
time (sec) N/A 0.098 0.105 0.01 0. 0. 0. 0.


















Problem 42 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 110 110 234 283 0 0 0 0
normalized size 1 1. 2.13 2.57 0. 0. 0. 0.
time (sec) N/A 0.177 0.445 0.085 0. 0. 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 168 168 253 267 0 0 0 0
normalized size 1 1. 1.51 1.59 0. 0. 0. 0.
time (sec) N/A 0.187 0.595 0.018 0. 0. 0. 0.


















Problem 44 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 146 146 326 311 0 0 0 0
normalized size 1 1. 2.23 2.13 0. 0. 0. 0.
time (sec) N/A 0.26 0.481 0.112 0. 0. 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 264 311 332 0 0 0 0
normalized size 1 1.1 1.3 1.39 0. 0. 0. 0.
time (sec) N/A 0.309 0.635 0.021 0. 0. 0. 0.


















Problem 46 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 186 186 341 313 0 0 0 0
normalized size 1 1. 1.83 1.68 0. 0. 0. 0.
time (sec) N/A 0.233 0.642 0.016 0. 0. 0. 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 79 108 0 209 0 0
normalized size 1 1. 0.81 1.11 0. 2.15 0. 0.
time (sec) N/A 0.086 0.145 0.016 0. 2.337 0. 0.


















Problem 48 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 184 184 340 307 0 0 0 0
normalized size 1 1. 1.85 1.67 0. 0. 0. 0.
time (sec) N/A 0.176 0.248 0.013 0. 0. 0. 0.


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 56 76 0 207 0 0
normalized size 1 1. 0.7 0.95 0. 2.59 0. 0.
time (sec) N/A 0.054 0.07 0.006 0. 2.349 0. 0.


















Problem 50 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 178 178 341 295 0 0 0 0
normalized size 1 1. 1.92 1.66 0. 0. 0. 0.
time (sec) N/A 0.141 0.152 0.01 0. 0. 0. 0.


















Problem 51 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 159 159 289 451 0 0 0 0
normalized size 1 1. 1.82 2.84 0. 0. 0. 0.
time (sec) N/A 0.252 0.633 0.156 0. 0. 0. 0.


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 222 222 298 357 0 0 0 0
normalized size 1 1. 1.34 1.61 0. 0. 0. 0.
time (sec) N/A 0.238 1.219 0.016 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 232 232 353 575 0 0 0 0
normalized size 1 1. 1.52 2.48 0. 0. 0. 0.
time (sec) N/A 0.344 0.846 0.194 0. 0. 0. 0.


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 345 380 425 0 0 0 0
normalized size 1 1.17 1.29 1.44 0. 0. 0. 0.
time (sec) N/A 0.367 1.046 0.02 0. 0. 0. 0.


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 111 106 164 181 351 221 0
normalized size 1 1.02 0.97 1.5 1.66 3.22 2.03 0.
time (sec) N/A 0.121 0.195 0.077 1.201 2.408 21.351 0.


















Problem 56 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 119 181 79 170 0 0 0 0
normalized size 1 1.52 0.66 1.43 0. 0. 0. 0.
time (sec) N/A 0.198 0.168 0.055 0. 0. 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 105 63 108 99 278 141 0
normalized size 1 1.72 1.03 1.77 1.62 4.56 2.31 0.
time (sec) N/A 0.068 0.117 0.047 1.222 2.542 2.657 0.


















Problem 58 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 67 111 69 112 0 0 0 0
normalized size 1 1.66 1.03 1.67 0. 0. 0. 0.
time (sec) N/A 0.059 0.137 0.041 0. 0. 0. 0.


















Problem 59 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 89 177 131 171 0 0 0 0
normalized size 1 1.99 1.47 1.92 0. 0. 0. 0.
time (sec) N/A 0.192 0.188 0.148 0. 0. 0. 0.


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 105 75 155 0 0 110 0
normalized size 1 1.72 1.23 2.54 0. 0. 1.8 0.
time (sec) N/A 0.108 0.163 0.114 0. 0. 3.199 0.


















Problem 61 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 113 201 185 243 0 0 0 0
normalized size 1 1.78 1.64 2.15 0. 0. 0. 0.
time (sec) N/A 0.195 3.257 0.195 0. 0. 0. 0.


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 106 78 501 193 486 0 0
normalized size 1 1.71 1.26 8.08 3.11 7.84 0. 0.
time (sec) N/A 0.09 0.13 0.2 1.199 2.842 0. 0.


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 127 100 195 196 485 0 0
normalized size 1 1.02 0.8 1.56 1.57 3.88 0. 0.
time (sec) N/A 0.143 0.172 0.092 1.2 2.395 0. 0.


















Problem 64 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 165 254 154 240 0 0 0 0
normalized size 1 1.54 0.93 1.45 0. 0. 0. 0.
time (sec) N/A 0.321 0.347 0.058 0. 0. 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 146 72 139 115 393 221 0
normalized size 1 1.9 0.94 1.81 1.49 5.1 2.87 0.
time (sec) N/A 0.087 0.125 0.057 1.166 2.374 126.584 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 180 111 170 0 0 185 0
normalized size 1 1.62 1. 1.53 0. 0. 1.67 0.
time (sec) N/A 0.112 0.225 0.048 0. 0. 52.345 0.


















Problem 67 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 134 249 180 227 0 0 0 0
normalized size 1 1.86 1.34 1.69 0. 0. 0. 0.
time (sec) N/A 0.304 0.353 0.172 0. 0. 0. 0.


















Problem 68 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 108 177 122 222 0 0 0 0
normalized size 1 1.64 1.13 2.06 0. 0. 0. 0.
time (sec) N/A 0.168 0.288 0.148 0. 0. 0. 0.


















Problem 69 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 155 270 292 295 0 0 0 0
normalized size 1 1.74 1.88 1.9 0. 0. 0. 0.
time (sec) N/A 0.302 1.712 0.371 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 115 184 125 622 0 0 0 0
normalized size 1 1.6 1.09 5.41 0. 0. 0. 0.
time (sec) N/A 0.219 0.227 0.221 0. 0. 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 143 108 226 211 613 0 0
normalized size 1 1.01 0.77 1.6 1.5 4.35 0. 0.
time (sec) N/A 0.153 0.198 0.1 1.209 2.48 0. 0.


















Problem 72 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 213 337 196 301 0 0 0 0
normalized size 1 1.58 0.92 1.41 0. 0. 0. 0.
time (sec) N/A 0.458 0.566 0.093 0. 0. 0. 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B A B A B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 193 80 170 130 508 0 0
normalized size 1 2.08 0.86 1.83 1.4 5.46 0. 0.
time (sec) N/A 0.087 0.145 0.063 1.201 2.604 0. 0.


















Problem 74 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 165 254 153 228 0 0 0 0
normalized size 1 1.54 0.93 1.38 0. 0. 0. 0.
time (sec) N/A 0.165 0.379 0.052 0. 0. 0. 0.


















Problem 75 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 179 329 257 284 0 0 0 0
normalized size 1 1.84 1.44 1.59 0. 0. 0. 0.
time (sec) N/A 0.43 0.35 0.235 0. 0. 0. 0.


















Problem 76 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 157 257 168 283 0 0 0 0
normalized size 1 1.64 1.07 1.8 0. 0. 0. 0.
time (sec) N/A 0.236 0.395 0.191 0. 0. 0. 0.


















Problem 77 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 205 355 349 356 0 0 0 0
normalized size 1 1.73 1.7 1.74 0. 0. 0. 0.
time (sec) N/A 0.431 1.894 0.421 0. 0. 0. 0.


















Problem 78 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 166 266 179 692 0 0 0 0
normalized size 1 1.6 1.08 4.17 0. 0. 0. 0.
time (sec) N/A 0.294 0.399 0.24 0. 0. 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 28 26 38 115 0 0
normalized size 1 1. 0.88 0.81 1.19 3.59 0. 0.
time (sec) N/A 0.03 0.013 0.024 1.658 2.35 0. 0.


















Problem 80 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 149 215 108 193 235 363 182 0
normalized size 1 1.44 0.72 1.3 1.58 2.44 1.22 0.
time (sec) N/A 0.257 0.185 0.092 1.172 2.606 26.581 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 170 111 188 0 0 185 0
normalized size 1 1.35 0.88 1.49 0. 0. 1.47 0.
time (sec) N/A 0.226 0.237 0.085 0. 0. 14.462 0.


















Problem 82 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 98 142 82 133 158 286 122 0
normalized size 1 1.45 0.84 1.36 1.61 2.92 1.24 0.
time (sec) N/A 0.157 0.135 0.083 1.142 2.593 5.43 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 97 69 125 0 0 92 0
normalized size 1 1.29 0.92 1.67 0. 0. 1.23 0.
time (sec) N/A 0.121 0.175 0.055 0. 0. 4.64 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 64 49 72 74 213 60 0
normalized size 1 1.52 1.17 1.71 1.76 5.07 1.43 0.
time (sec) N/A 0.065 0.079 0.042 1.25 2.39 2.256 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 53 103 0 85 0
normalized size 1 1. 1. 2.12 4.12 0. 3.4 0.
time (sec) N/A 0.03 0.017 0.037 1.15 0. 2.326 0.


















Problem 86 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 56 56 96 72 0 0 0 0
normalized size 1 1. 1.71 1.29 0. 0. 0. 0.
time (sec) N/A 0.119 0.155 0.047 0. 0. 0. 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 63 42 84 150 319 0 0
normalized size 1 1.54 1.02 2.05 3.66 7.78 0. 0.
time (sec) N/A 0.088 0.109 0.066 1.174 2.841 0. 0.


















Problem 88 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 115 137 185 225 0 0 0 0
normalized size 1 1.19 1.61 1.96 0. 0. 0. 0.
time (sec) N/A 0.213 2.717 0.079 0. 0. 0. 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 141 99 372 163 495 0 0
normalized size 1 1.45 1.02 3.84 1.68 5.1 0. 0.
time (sec) N/A 0.182 0.158 0.09 1.192 3.033 0. 0.


















Problem 90 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 137 140 131 224 0 454 0 0
normalized size 1 1.02 0.96 1.64 0. 3.31 0. 0.
time (sec) N/A 0.172 0.2 0.237 0. 2.968 0. 0.


















Problem 91 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 131 181 147 269 0 0 0 0
normalized size 1 1.38 1.12 2.05 0. 0. 0. 0.
time (sec) N/A 0.257 0.348 0.178 0. 0. 0. 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 88 87 158 161 382 0 0
normalized size 1 1.02 1.01 1.84 1.87 4.44 0. 0.
time (sec) N/A 0.142 0.16 0.181 1.757 2.981 0. 0.


















Problem 93 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 80 105 78 196 0 0 0 0
normalized size 1 1.31 0.98 2.45 0. 0. 0. 0.
time (sec) N/A 0.14 0.279 0.105 0. 0. 0. 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 70 52 103 0 305 0 0
normalized size 1 1.56 1.16 2.29 0. 6.78 0. 0.
time (sec) N/A 0.072 0.107 0.086 0. 2.882 0. 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 76 66 132 88 0 0 0
normalized size 1 1.49 1.29 2.59 1.73 0. 0. 0.
time (sec) N/A 0.039 0.093 0.066 1.122 0. 0. 0.


















Problem 96 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 94 119 143 156 0 0 0 0
normalized size 1 1.27 1.52 1.66 0. 0. 0. 0.
time (sec) N/A 0.222 0.318 0.153 0. 0. 0. 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 95 69 180 161 0 0 0
normalized size 1 1.02 0.74 1.94 1.73 0. 0. 0.
time (sec) N/A 0.138 0.16 0.097 1.21 0. 0. 0.


















Problem 98 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 162 212 269 234 0 0 0 0
normalized size 1 1.31 1.66 1.44 0. 0. 0. 0.
time (sec) N/A 0.35 3.947 0.177 0. 0. 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 156 127 601 0 0 0 0
normalized size 1 1.02 0.83 3.93 0. 0. 0. 0.
time (sec) N/A 0.175 0.217 0.19 0. 0. 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 256 202 970 0 0 0 0
normalized size 1 1.33 1.05 5.05 0. 0. 0. 0.
time (sec) N/A 0.425 0.453 0.301 0. 0. 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 149 132 231 0 502 0 0
normalized size 1 1.02 0.9 1.58 0. 3.44 0. 0.
time (sec) N/A 0.181 0.214 0.425 0. 3.242 0. 0.


















Problem 102 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 139 178 166 897 0 0 0 0
normalized size 1 1.28 1.19 6.45 0. 0. 0. 0.
time (sec) N/A 0.283 0.35 0.203 0. 0. 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 107 93 175 186 435 0 0
normalized size 1 1.02 0.89 1.67 1.77 4.14 0. 0.
time (sec) N/A 0.147 0.184 0.221 1.85 3.112 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 119 88 707 185 0 0 0
normalized size 1 1.49 1.1 8.84 2.31 0. 0. 0.
time (sec) N/A 0.129 0.172 0.158 1.27 0. 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 114 72 124 0 389 0 0
normalized size 1 1.52 0.96 1.65 0. 5.19 0. 0.
time (sec) N/A 0.08 0.135 0.088 0. 3.114 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 147 100 618 170 0 0 0
normalized size 1 1.36 0.93 5.72 1.57 0. 0. 0.
time (sec) N/A 0.087 0.147 0.09 1.121 0. 0. 0.


















Problem 107 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 148 187 209 220 0 0 0 0
normalized size 1 1.26 1.41 1.49 0. 0. 0. 0.
time (sec) N/A 0.339 0.822 0.171 0. 0. 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 153 123 778 0 0 0 0
normalized size 1 1.02 0.82 5.19 0. 0. 0. 0.
time (sec) N/A 0.176 0.208 0.179 0. 0. 0. 0.


















Problem 109 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 247 325 331 314 0 0 0 0
normalized size 1 1.32 1.34 1.27 0. 0. 0. 0.
time (sec) N/A 0.475 6.156 0.239 0. 0. 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 212 142 1153 319 0 0 0
normalized size 1 1.02 0.68 5.54 1.53 0. 0. 0.
time (sec) N/A 0.24 0.237 0.158 1.219 0. 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 121 363 201 0 0 167
normalized size 1 1. 0.6 1.82 1. 0. 0. 0.84
time (sec) N/A 0.123 0.172 0.161 1.143 0. 0. 1.376


















Problem 112 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 86 86 63 74 138 188 82 0
normalized size 1 1. 0.73 0.86 1.6 2.19 0.95 0.
time (sec) N/A 0.155 0.046 0.038 1.121 2.581 2.971 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 48 82 80 126 65 85
normalized size 1 1. 0.69 1.17 1.14 1.8 0.93 1.21
time (sec) N/A 0.111 0.04 0.031 1.145 2.533 1.527 1.34


















Problem 114 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 49 49 42 40 100 146 42 0
normalized size 1 1. 0.86 0.82 2.04 2.98 0.86 0.
time (sec) N/A 0.103 0.038 0.03 1.16 2.542 0.934 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 47 35 82 24 51
normalized size 1 1. 1. 1.68 1.25 2.93 0.86 1.82
time (sec) N/A 0.046 0.027 0.026 1.247 2.505 0.561 1.343


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 51 10 31
normalized size 1 1. 1. 0.92 1.15 3.92 0.77 2.38
time (sec) N/A 0.022 0.006 0.004 1.088 2.473 0.409 1.398


















Problem 117 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 34 34 57 42 0 0 0 0
normalized size 1 1. 1.68 1.24 0. 0. 0. 0.
time (sec) N/A 0.092 0.096 0.03 0. 0. 0. 0.


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 56 34 88 0 113
normalized size 1 1. 1.07 2.07 1.26 3.26 0. 4.19
time (sec) N/A 0.064 0.036 0.056 1.165 2.652 0. 1.389


















Problem 119 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 80 80 126 150 0 0 0 0
normalized size 1 1. 1.58 1.88 0. 0. 0. 0.
time (sec) N/A 0.148 0.671 0.052 0. 0. 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 120 578 0 346 0 0
normalized size 1 1. 0.69 3.3 0. 1.98 0. 0.
time (sec) N/A 0.161 0.118 0.219 0. 2.653 0. 0.


















Problem 121 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 181 181 129 320 0 0 0 0
normalized size 1 1. 0.71 1.77 0. 0. 0. 0.
time (sec) N/A 0.194 0.789 0.148 0. 0. 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 92 321 99 273 0 0
normalized size 1 1. 0.88 3.06 0.94 2.6 0. 0.
time (sec) N/A 0.067 0.092 0.122 1.136 2.589 0. 0.


















Problem 123 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 111 111 120 222 0 0 0 0
normalized size 1 1. 1.08 2. 0. 0. 0. 0.
time (sec) N/A 0.061 0.44 0.091 0. 0. 0. 0.


















Problem 124 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 177 177 168 331 0 0 0 0
normalized size 1 1. 0.95 1.87 0. 0. 0. 0.
time (sec) N/A 0.195 0.452 0.146 0. 0. 0. 0.


















Problem 125 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 105 105 129 263 0 0 0 0
normalized size 1 1. 1.23 2.5 0. 0. 0. 0.
time (sec) N/A 0.115 0.321 0.128 0. 0. 0. 0.


















Problem 126 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 201 201 223 377 0 0 0 0
normalized size 1 1. 1.11 1.88 0. 0. 0. 0.
time (sec) N/A 0.195 2.904 0.178 0. 0. 0. 0.


















Problem 127 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 106 106 131 946 0 470 0 0
normalized size 1 1. 1.24 8.92 0. 4.43 0. 0.
time (sec) N/A 0.095 0.186 0.171 0. 3.045 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 130 872 0 460 0 0
normalized size 1 1. 0.6 4.02 0. 2.12 0. 0.
time (sec) N/A 0.177 0.164 0.211 0. 2.515 0. 0.


















Problem 129 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 254 254 251 421 0 0 0 0
normalized size 1 1. 0.99 1.66 0. 0. 0. 0.
time (sec) N/A 0.31 0.713 0.214 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 102 559 115 373 0 0
normalized size 1 1. 0.7 3.83 0.79 2.55 0. 0.
time (sec) N/A 0.074 0.129 0.149 1.205 2.44 0. 0.


















Problem 131 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 180 180 200 318 0 0 0 0
normalized size 1 1. 1.11 1.77 0. 0. 0. 0.
time (sec) N/A 0.109 0.793 0.13 0. 0. 0. 0.


















Problem 132 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 249 249 248 428 0 0 0 0
normalized size 1 1. 1. 1.72 0. 0. 0. 0.
time (sec) N/A 0.303 0.74 0.158 0. 0. 0. 0.


















Problem 133 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 177 177 200 392 0 0 0 0
normalized size 1 1. 1.13 2.21 0. 0. 0. 0.
time (sec) N/A 0.17 0.778 0.146 0. 0. 0. 0.


















Problem 134 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 270 270 352 472 0 0 0 0
normalized size 1 1. 1.3 1.75 0. 0. 0. 0.
time (sec) N/A 0.31 4.079 0.184 0. 0. 0. 0.


















Problem 135 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 184 184 214 1107 0 0 0 0
normalized size 1 1. 1.16 6.02 0. 0. 0. 0.
time (sec) N/A 0.231 0.721 0.176 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 140 996 0 585 0 0
normalized size 1 1. 0.53 3.74 0. 2.2 0. 0.
time (sec) N/A 0.192 0.197 0.216 0. 2.436 0. 0.


















Problem 137 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 337 337 388 537 0 0 0 0
normalized size 1 1. 1.15 1.59 0. 0. 0. 0.
time (sec) N/A 0.466 0.94 0.259 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 112 863 130 483 0 0
normalized size 1 1. 0.58 4.47 0.67 2.5 0. 0.
time (sec) N/A 0.088 0.148 0.18 1.147 2.611 0. 0.


















Problem 139 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 254 254 317 427 0 0 0 0
normalized size 1 1. 1.25 1.68 0. 0. 0. 0.
time (sec) N/A 0.16 0.691 0.161 0. 0. 0. 0.


















Problem 140 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 329 329 361 540 0 0 0 0
normalized size 1 1. 1.1 1.64 0. 0. 0. 0.
time (sec) N/A 0.439 1.235 0.202 0. 0. 0. 0.


















Problem 141 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 257 257 270 506 0 0 0 0
normalized size 1 1. 1.05 1.97 0. 0. 0. 0.
time (sec) N/A 0.238 1.343 0.185 0. 0. 0. 0.


















Problem 142 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 355 355 467 588 0 0 0 0
normalized size 1 1. 1.32 1.66 0. 0. 0. 0.
time (sec) N/A 0.447 6.73 0.217 0. 0. 0. 0.


















Problem 143 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 266 266 287 1316 0 0 0 0
normalized size 1 1. 1.08 4.95 0. 0. 0. 0.
time (sec) N/A 0.3 0.961 0.208 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 28 26 38 115 0 0
normalized size 1 1. 0.88 0.81 1.19 3.59 0. 0.
time (sec) N/A 0.029 0.013 0. 1.657 2.405 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 119 625 0 355 0 0
normalized size 1 1. 0.55 2.91 0. 1.65 0. 0.
time (sec) N/A 0.264 0.171 0.214 0. 2.544 0. 0.


















Problem 146 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 192 192 151 347 0 0 0 0
normalized size 1 1. 0.79 1.81 0. 0. 0. 0.
time (sec) N/A 0.252 0.603 0.253 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 93 358 0 278 0 0
normalized size 1 1. 0.65 2.52 0. 1.96 0. 0.
time (sec) N/A 0.158 0.133 0.158 0. 2.514 0. 0.


















Problem 148 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 119 119 121 247 0 0 0 0
normalized size 1 1. 1.02 2.08 0. 0. 0. 0.
time (sec) N/A 0.146 0.723 0.171 0. 0. 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 74 148 74 205 0 0
normalized size 1 1. 1.16 2.31 1.16 3.2 0. 0.
time (sec) N/A 0.061 0.102 0.086 1.148 2.394 0. 0.


















Problem 150 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 47 47 48 77 0 0 0 0
normalized size 1 1. 1.02 1.64 0. 0. 0. 0.
time (sec) N/A 0.057 0.049 0.036 0. 0. 0. 0.


















Problem 151 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 122 122 129 234 0 0 0 0
normalized size 1 1. 1.06 1.92 0. 0. 0. 0.
time (sec) N/A 0.188 0.362 0.124 0. 0. 0. 0.


















Problem 152 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 63 63 67 183 0 301 0 0
normalized size 1 1. 1.06 2.9 0. 4.78 0. 0.
time (sec) N/A 0.089 0.159 0.118 0. 3.127 0. 0.


















Problem 153 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 203 203 229 380 0 0 0 0
normalized size 1 1. 1.13 1.87 0. 0. 0. 0.
time (sec) N/A 0.292 3.025 0.187 0. 0. 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 135 791 0 477 0 0
normalized size 1 1. 0.96 5.61 0. 3.38 0. 0.
time (sec) N/A 0.184 0.209 0.17 0. 3.185 0. 0.


















Problem 155 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 212 220 148 362 0 436 0 0
normalized size 1 1.04 0.7 1.71 0. 2.06 0. 0.
time (sec) N/A 0.294 0.265 0.206 0. 3.618 0. 0.


















Problem 156 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 206 206 161 366 0 0 0 0
normalized size 1 1. 0.78 1.78 0. 0. 0. 0.
time (sec) N/A 0.282 0.472 0.246 0. 0. 0. 0.


















Problem 157 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 136 141 143 260 0 365 0 0
normalized size 1 1.04 1.05 1.91 0. 2.68 0. 0.
time (sec) N/A 0.182 0.243 0.159 0. 3.315 0. 0.


















Problem 158 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 130 130 146 232 0 0 0 0
normalized size 1 1. 1.12 1.78 0. 0. 0. 0.
time (sec) N/A 0.168 0.195 0.151 0. 0. 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 82 164 0 288 0 0
normalized size 1 1. 1.17 2.34 0. 4.11 0. 0.
time (sec) N/A 0.07 0.162 0.083 0. 3.18 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 100 143 88 0 0 0
normalized size 1 1. 1.32 1.88 1.16 0. 0. 0.
time (sec) N/A 0.038 0.159 0.085 1.245 0. 0. 0.


















Problem 161 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 194 194 231 274 0 0 0 0
normalized size 1 1. 1.19 1.41 0. 0. 0. 0.
time (sec) N/A 0.303 0.883 0.138 0. 0. 0. 0.


















Problem 162 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 143 143 163 205 0 0 0 0
normalized size 1 1. 1.14 1.43 0. 0. 0. 0.
time (sec) N/A 0.154 0.279 0.118 0. 0. 0. 0.


















Problem 163 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 287 287 381 389 0 0 0 0
normalized size 1 1. 1.33 1.36 0. 0. 0. 0.
time (sec) N/A 0.431 6.368 0.172 0. 0. 0. 0.


















Problem 164 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 228 228 216 965 0 0 0 0
normalized size 1 1. 0.95 4.23 0. 0. 0. 0.
time (sec) N/A 0.289 0.299 0.171 0. 0. 0. 0.


















Problem 165 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 281 281 222 1607 0 0 0 0
normalized size 1 1. 0.79 5.72 0. 0. 0. 0.
time (sec) N/A 0.435 1.003 0.341 0. 0. 0. 0.


















Problem 166 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 210 225 154 394 0 483 0 0
normalized size 1 1.07 0.73 1.88 0. 2.3 0. 0.
time (sec) N/A 0.309 0.272 0.194 0. 3.315 0. 0.


















Problem 167 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 203 203 191 1430 0 0 0 0
normalized size 1 1. 0.94 7.04 0. 0. 0. 0.
time (sec) N/A 0.296 0.532 0.238 0. 0. 0. 0.


















Problem 168 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 144 149 151 262 186 416 0 0
normalized size 1 1.03 1.05 1.82 1.29 2.89 0. 0.
time (sec) N/A 0.182 0.24 0.151 1.782 3.234 0. 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 118 1153 185 0 0 0
normalized size 1 1. 0.99 9.69 1.55 0. 0. 0.
time (sec) N/A 0.125 0.196 0.161 1.25 0. 0. 0.


















Problem 170 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 114 114 130 198 0 370 0 0
normalized size 1 1. 1.14 1.74 0. 3.25 0. 0.
time (sec) N/A 0.078 0.183 0.114 0. 3.128 0. 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 143 1005 170 0 0 0
normalized size 1 1. 0.97 6.84 1.16 0. 0. 0.
time (sec) N/A 0.079 0.193 0.109 1.283 0. 0. 0.


















Problem 172 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 262 262 247 364 0 0 0 0
normalized size 1 1. 0.94 1.39 0. 0. 0. 0.
time (sec) N/A 0.415 1.234 0.146 0. 0. 0. 0.


















Problem 173 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 214 214 227 1257 0 0 0 0
normalized size 1 1. 1.06 5.87 0. 0. 0. 0.
time (sec) N/A 0.213 0.311 0.151 0. 0. 0. 0.


















Problem 174 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 400 400 437 546 0 0 0 0
normalized size 1 1. 1.09 1.36 0. 0. 0. 0.
time (sec) N/A 0.56 6.57 0.204 0. 0. 0. 0.


















Problem 175 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 297 297 267 1790 0 0 0 0
normalized size 1 1. 0.9 6.03 0. 0. 0. 0.
time (sec) N/A 0.372 0.357 0.175 0. 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 121 363 201 0 0 167
normalized size 1 1. 0.6 1.82 1. 0. 0. 0.84
time (sec) N/A 0.112 0.141 0. 1.269 0. 0. 1.484


















Problem 177 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 86 86 63 74 138 188 82 0
normalized size 1 1. 0.73 0.86 1.6 2.19 0.95 0.
time (sec) N/A 0.146 0.045 0. 1.154 2.716 3.317 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 48 82 80 126 65 85
normalized size 1 1. 0.69 1.17 1.14 1.8 0.93 1.21
time (sec) N/A 0.103 0.041 0. 1.244 2.573 1.664 1.359


















Problem 179 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 49 49 42 40 100 146 42 0
normalized size 1 1. 0.86 0.82 2.04 2.98 0.86 0.
time (sec) N/A 0.081 0.039 0. 1.298 2.558 0.957 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 47 35 82 24 51
normalized size 1 1. 1. 1.68 1.25 2.93 0.86 1.82
time (sec) N/A 0.042 0.026 0. 1.242 3.104 0.539 1.418


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 51 10 31
normalized size 1 1. 1. 0.92 1.15 3.92 0.77 2.38
time (sec) N/A 0.02 0.006 0. 1.154 3.004 0.414 1.379


















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 34 34 57 42 0 0 0 0
normalized size 1 1. 1.68 1.24 0. 0. 0. 0.
time (sec) N/A 0.085 0.041 0. 0. 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 56 34 88 0 113
normalized size 1 1. 1.07 2.07 1.26 3.26 0. 4.19
time (sec) N/A 0.059 0.037 0. 1.155 2.642 0. 1.452


















Problem 184 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 80 80 126 150 0 0 0 0
normalized size 1 1. 1.58 1.88 0. 0. 0. 0.
time (sec) N/A 0.144 0.026 0. 0. 0. 0. 0.


















Problem 185 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 313 313 257 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 2.172 0.517 2.484 0. 0. 0. 0.


















Problem 186 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 217 217 188 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.297 0.079 2.119 0. 0. 0. 0.


















Problem 187 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 128 128 118 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.069 1.754 0. 0. 0. 0.


















Problem 188 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 0.071 3.67 0.38 0. 0. 0. 0.


















Problem 189 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 115 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.158 5.408 0.435 0. 0. 0. 0.


















Problem 190 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 206 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.253 5.663 0.47 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 618 618 332 0 0 0 0 0
normalized size 1 1. 0.54 0. 0. 0. 0. 0.
time (sec) N/A 0.556 1.319 1.312 0. 0. 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 390 390 233 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 0.33 0.528 1.136 0. 0. 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 179 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.203 0.071 1.042 0. 0. 0. 0.


















Problem 194 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 161 161 129 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.056 0.323 0. 0. 0. 0.


















Problem 195 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 268 268 206 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.331 0.224 0.424 0. 0. 0. 0.


















Problem 196 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 402 402 286 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.471 0.421 0.433 0. 0. 0. 0.


















Problem 197 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 102 102 97 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.031 0.227 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 201 342 595 613 388 599
normalized size 1 1. 0.71 1.21 2.1 2.17 1.37 2.12
time (sec) N/A 0.477 0.271 0.043 1.186 2.796 15.72 2.439


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 186 298 680 525 332 0
normalized size 1 1. 0.94 1.51 3.43 2.65 1.68 0.
time (sec) N/A 0.568 0.259 0.039 1.253 2.699 10.761 0.


















Problem 200 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 206 206 177 260 467 509 313 501
normalized size 1 1. 0.86 1.26 2.27 2.47 1.52 2.43
time (sec) N/A 0.342 0.235 0.037 1.188 2.709 5.562 2.2


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 155 216 552 447 269 0
normalized size 1 1. 1.15 1.6 4.09 3.31 1.99 0.
time (sec) N/A 0.134 0.258 0.036 1.227 2.691 3.394 0.


















Problem 202 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 125 125 135 172 311 387 224 383
normalized size 1 1. 1.08 1.38 2.49 3.1 1.79 3.06
time (sec) N/A 0.144 0.201 0.031 1.104 2.714 1.561 2.063


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 166 165 209 425 0 0 0 0
normalized size 1 0.99 1.26 2.56 0. 0. 0. 0.
time (sec) N/A 0.246 0.374 0.125 0. 0. 0. 0.


















Problem 204 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 131 131 192 252 0 0 0 0
normalized size 1 1. 1.47 1.92 0. 0. 0. 0.
time (sec) N/A 0.318 0.427 0.105 0. 0. 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 180 179 212 515 0 0 0 0
normalized size 1 0.99 1.18 2.86 0. 0. 0. 0.
time (sec) N/A 0.31 0.366 0.246 0. 0. 0. 0.


















Problem 206 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 158 158 245 278 0 0 0 0
normalized size 1 1. 1.55 1.76 0. 0. 0. 0.
time (sec) N/A 0.393 0.794 0.238 0. 0. 0. 0.


















Problem 207 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 386 386 251 446 1026 871 563 998
normalized size 1 1. 0.65 1.16 2.66 2.26 1.46 2.59
time (sec) N/A 0.739 0.388 0.046 1.353 3.2 44.95 2.731


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 237 406 1154 784 515 0
normalized size 1 1. 0.8 1.37 3.9 2.65 1.74 0.
time (sec) N/A 1.037 0.356 0.045 1.338 3.003 31.401 0.


















Problem 209 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 303 303 227 364 836 755 483 853
normalized size 1 1. 0.75 1.2 2.76 2.49 1.59 2.82
time (sec) N/A 0.594 0.396 0.046 1.225 2.708 17.336 2.765


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 208 324 964 663 430 0
normalized size 1 1. 1.02 1.59 4.73 3.25 2.11 0.
time (sec) N/A 0.206 0.487 0.038 1.238 2.74 11.853 0.


















Problem 211 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 214 214 191 276 617 616 389 690
normalized size 1 1. 0.89 1.29 2.88 2.88 1.82 3.22
time (sec) N/A 0.256 0.404 0.036 1.156 2.716 5.988 2.442


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 257 256 323 586 0 0 0 0
normalized size 1 1. 1.26 2.28 0. 0. 0. 0.
time (sec) N/A 0.441 0.38 0.162 0. 0. 0. 0.


















Problem 213 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 229 229 306 400 0 0 0 0
normalized size 1 1. 1.34 1.75 0. 0. 0. 0.
time (sec) N/A 0.523 1.151 0.134 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 272 272 305 719 0 0 0 0
normalized size 1 1. 1.12 2.64 0. 0. 0. 0.
time (sec) N/A 0.501 0.879 0.342 0. 0. 0. 0.


















Problem 215 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 248 248 357 408 0 0 0 0
normalized size 1 1. 1.44 1.65 0. 0. 0. 0.
time (sec) N/A 0.707 0.904 0.281 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 465 465 299 544 1497 1135 702 0
normalized size 1 1. 0.64 1.17 3.22 2.44 1.51 0.
time (sec) N/A 1.058 0.461 0.092 1.241 2.875 115.345 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 285 508 1669 996 654 0
normalized size 1 1. 0.76 1.35 4.44 2.65 1.74 0.
time (sec) N/A 1.657 0.46 0.086 1.441 2.783 82.191 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 382 382 275 462 1245 963 626 0
normalized size 1 1. 0.72 1.21 3.26 2.52 1.64 0.
time (sec) N/A 0.861 0.484 0.05 1.334 2.751 49.563 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 256 426 1416 855 573 0
normalized size 1 1. 0.98 1.63 5.43 3.28 2.2 0.
time (sec) N/A 0.257 0.659 0.043 1.474 2.821 35.235 0.


















Problem 220 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 291 291 239 372 961 818 524 1025
normalized size 1 1. 0.82 1.28 3.3 2.81 1.8 3.52
time (sec) N/A 0.403 0.536 0.041 1.297 2.787 18.653 2.986


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 337 336 416 706 0 0 0 0
normalized size 1 1. 1.23 2.09 0. 0. 0. 0.
time (sec) N/A 0.684 0.658 0.199 0. 0. 0. 0.


















Problem 222 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 307 307 466 516 0 0 0 0
normalized size 1 1. 1.52 1.68 0. 0. 0. 0.
time (sec) N/A 0.739 1.414 0.163 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 354 355 459 838 0 0 0 0
normalized size 1 1. 1.3 2.37 0. 0. 0. 0.
time (sec) N/A 0.75 1.175 0.411 0. 0. 0. 0.


















Problem 224 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 326 326 461 528 0 0 0 0
normalized size 1 1. 1.41 1.62 0. 0. 0. 0.
time (sec) N/A 1.021 1.111 0.331 0. 0. 0. 0.


















Problem 225 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 277 277 365 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 0.553 1.29 0.25 0. 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 199 199 279 380 0 0 0 0
normalized size 1 1. 1.4 1.91 0. 0. 0. 0.
time (sec) N/A 0.408 0.458 0.114 0. 0. 0. 0.


















Problem 227 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 198 198 293 0 0 0 0 0
normalized size 1 1. 1.48 0. 0. 0. 0. 0.
time (sec) N/A 0.293 0.571 0.097 0. 0. 0. 0.


















Problem 228 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 105 105 281 223 0 0 0 0
normalized size 1 1. 2.68 2.12 0. 0. 0. 0.
time (sec) N/A 0.184 0.238 0.049 0. 0. 0. 0.


















Problem 229 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 138 138 274 0 0 0 0 0
normalized size 1 1. 1.99 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.24 0.128 0. 0. 0. 0.


















Problem 230 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 116 116 400 354 0 0 0 0
normalized size 1 1. 3.45 3.05 0. 0. 0. 0.
time (sec) N/A 0.208 0.366 0.074 0. 0. 0. 0.


















Problem 231 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 204 204 363 0 0 0 0 0
normalized size 1 1. 1.78 0. 0. 0. 0. 0.
time (sec) N/A 0.335 1.061 0.201 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 419 719 0 0 0 0
normalized size 1 1. 2.16 3.71 0. 0. 0. 0.
time (sec) N/A 0.388 1.063 0.148 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 297 297 602 0 0 0 0 0
normalized size 1 1. 2.03 0. 0. 0. 0. 0.
time (sec) N/A 0.639 8.019 0.228 0. 0. 0. 0.


















Problem 234 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 279 279 482 0 0 0 0 0
normalized size 1 1. 1.73 0. 0. 0. 0. 0.
time (sec) N/A 0.531 2.191 0.26 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 320 499 0 0 0 0
normalized size 1 1. 1.5 2.34 0. 0. 0. 0.
time (sec) N/A 0.405 1.063 0.197 0. 0. 0. 0.


















Problem 236 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 213 213 385 0 0 0 0 0
normalized size 1 1. 1.81 0. 0. 0. 0. 0.
time (sec) N/A 0.298 1.802 0.174 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 145 222 0 397 0 0
normalized size 1 1. 1.71 2.61 0. 4.67 0. 0.
time (sec) N/A 0.107 0.219 0.063 0. 2.684 0. 0.


















Problem 238 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 210 210 403 0 0 0 0 0
normalized size 1 1. 1.92 0. 0. 0. 0. 0.
time (sec) N/A 0.245 1.358 0.095 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 193 193 428 724 0 0 0 0
normalized size 1 1. 2.22 3.75 0. 0. 0. 0.
time (sec) N/A 0.34 1.806 0.128 0. 0. 0. 0.


















Problem 240 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 287 287 549 0 0 0 0 0
normalized size 1 1. 1.91 0. 0. 0. 0. 0.
time (sec) N/A 0.544 7.195 0.255 0. 0. 0. 0.


















Problem 241 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 253 253 594 799 0 0 0 0
normalized size 1 1. 2.35 3.16 0. 0. 0. 0.
time (sec) N/A 0.581 0.925 0.157 0. 0. 0. 0.


















Problem 242 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 401 401 764 0 0 0 0 0
normalized size 1 1. 1.91 0. 0. 0. 0. 0.
time (sec) N/A 0.963 8.731 0.338 0. 0. 0. 0.


















Problem 243 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 320 320 552 0 0 0 0 0
normalized size 1 1. 1.72 0. 0. 0. 0. 0.
time (sec) N/A 0.545 3.193 0.421 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 186 523 0 605 0 0
normalized size 1 1. 1.11 3.13 0. 3.62 0. 0.
time (sec) N/A 0.337 0.395 0.248 0. 2.849 0. 0.


















Problem 245 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 318 318 550 0 0 0 0 0
normalized size 1 1. 1.73 0. 0. 0. 0. 0.
time (sec) N/A 0.417 2.396 0.326 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 152 432 0 590 0 0
normalized size 1 1. 1.05 2.98 0. 4.07 0. 0.
time (sec) N/A 0.146 0.241 0.095 0. 2.831 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 309 309 546 0 0 0 0 0
normalized size 1 1. 1.77 0. 0. 0. 0. 0.
time (sec) N/A 0.364 2.233 0.168 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 275 275 560 1129 0 0 0 0
normalized size 1 1. 2.04 4.11 0. 0. 0. 0.
time (sec) N/A 0.507 3.676 0.237 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 389 389 716 0 0 0 0 0
normalized size 1 1. 1.84 0. 0. 0. 0. 0.
time (sec) N/A 0.767 7.619 0.36 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 381 381 759 1436 0 0 0 0
normalized size 1 1. 1.99 3.77 0. 0. 0. 0.
time (sec) N/A 0.803 9.572 0.289 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 529 529 937 0 0 0 0 0
normalized size 1 1. 1.77 0. 0. 0. 0. 0.
time (sec) N/A 1.307 10.159 0.392 0. 0. 0. 0.


















Problem 252 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 300 420 284 486 0 0 0 0
normalized size 1 1.4 0.95 1.62 0. 0. 0. 0.
time (sec) N/A 0.382 0.952 0.103 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 294 202 350 0 0 405 0
normalized size 1 1.4 0.96 1.67 0. 0. 1.93 0.
time (sec) N/A 0.227 0.621 0.081 0. 0. 151.738 0.


















Problem 254 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 122 184 124 213 0 0 0 0
normalized size 1 1.51 1.02 1.75 0. 0. 0. 0.
time (sec) N/A 0.113 0.345 0.071 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 72 230 0 88 0
normalized size 1 1. 1. 2.88 9.2 0. 3.52 0.
time (sec) N/A 0.05 0.024 0.063 1.363 0. 3.129 0.


















Problem 256 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 104 179 153 306 0 0 0 0
normalized size 1 1.72 1.47 2.94 0. 0. 0. 0.
time (sec) N/A 0.177 0.388 0.129 0. 0. 0. 0.


















Problem 257 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 204 292 293 1730 0 0 0 0
normalized size 1 1.43 1.44 8.48 0. 0. 0. 0.
time (sec) N/A 0.282 0.624 0.224 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 358 358 222 1162 0 694 0 0
normalized size 1 1. 0.62 3.25 0. 1.94 0. 0.
time (sec) N/A 0.479 0.268 0.349 0. 2.909 0. 0.


















Problem 259 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 291 291 207 701 0 0 0 0
normalized size 1 1. 0.71 2.41 0. 0. 0. 0.
time (sec) N/A 0.372 1.312 0.241 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 166 657 247 531 0 0
normalized size 1 1. 0.92 3.65 1.37 2.95 0. 0.
time (sec) N/A 0.152 0.271 0.177 1.263 2.712 0. 0.


















Problem 261 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 184 184 200 482 0 0 0 0
normalized size 1 1. 1.09 2.62 0. 0. 0. 0.
time (sec) N/A 0.12 1.087 0.146 0. 0. 0. 0.


















Problem 262 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 338 338 352 823 0 0 0 0
normalized size 1 1. 1.04 2.43 0. 0. 0. 0.
time (sec) N/A 0.343 1.162 0.277 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 209 209 232 625 0 0 0 0
normalized size 1 1. 1.11 2.99 0. 0. 0. 0.
time (sec) N/A 0.255 1.152 0.241 0. 0. 0. 0.


















Problem 264 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 358 358 446 870 0 0 0 0
normalized size 1 1. 1.25 2.43 0. 0. 0. 0.
time (sec) N/A 0.383 5.069 0.318 0. 0. 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 294 294 240 2557 0 0 0 0
normalized size 1 1. 0.82 8.7 0. 0. 0. 0.
time (sec) N/A 0.285 0.779 0.298 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 482 482 251 1766 0 942 0 0
normalized size 1 1. 0.52 3.66 0. 1.95 0. 0.
time (sec) N/A 0.811 0.384 0.38 0. 2.981 0. 0.


















Problem 267 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 405 405 508 934 0 0 0 0
normalized size 1 1. 1.25 2.31 0. 0. 0. 0.
time (sec) N/A 0.664 1.197 0.358 0. 0. 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 198 1149 311 743 0 0
normalized size 1 1. 0.74 4.3 1.16 2.78 0. 0.
time (sec) N/A 0.219 0.361 0.266 1.289 3.055 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 329 709 0 0 0 0
normalized size 1 1. 1.12 2.41 0. 0. 0. 0.
time (sec) N/A 0.246 1.938 0.22 0. 0. 0. 0.


















Problem 270 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 498 498 520 1053 0 0 0 0
normalized size 1 1. 1.04 2.11 0. 0. 0. 0.
time (sec) N/A 0.595 2.438 0.291 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 398 398 369 954 0 0 0 0
normalized size 1 1. 0.93 2.4 0. 0. 0. 0.
time (sec) N/A 0.422 3.031 0.259 0. 0. 0. 0.


















Problem 272 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 541 541 771 1131 0 0 0 0
normalized size 1 1. 1.43 2.09 0. 0. 0. 0.
time (sec) N/A 0.654 7.872 0.349 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 378 378 458 2796 0 0 0 0
normalized size 1 1. 1.21 7.4 0. 0. 0. 0.
time (sec) N/A 0.584 1.374 0.319 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 625 625 277 2014 0 1181 0 0
normalized size 1 1. 0.44 3.22 0. 1.89 0. 0.
time (sec) N/A 1.238 0.446 0.388 0. 3.208 0. 0.


















Problem 275 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 536 536 619 1204 0 0 0 0
normalized size 1 1. 1.15 2.25 0. 0. 0. 0.
time (sec) N/A 1.047 2.047 0.426 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 366 366 224 1773 370 980 0 0
normalized size 1 1. 0.61 4.84 1.01 2.68 0. 0.
time (sec) N/A 0.294 0.41 0.34 1.339 3.063 0. 0.


















Problem 277 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 420 420 499 966 0 0 0 0
normalized size 1 1. 1.19 2.3 0. 0. 0. 0.
time (sec) N/A 0.404 1.533 0.286 0. 0. 0. 0.


















Problem 278 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 635 635 710 1321 0 0 0 0
normalized size 1 1. 1.12 2.08 0. 0. 0. 0.
time (sec) N/A 0.908 4.386 0.361 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 530 530 550 1223 0 0 0 0
normalized size 1 1. 1.04 2.31 0. 0. 0. 0.
time (sec) N/A 0.613 2.257 0.338 0. 0. 0. 0.


















Problem 280 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 687 687 990 1404 0 0 0 0
normalized size 1 1. 1.44 2.04 0. 0. 0. 0.
time (sec) N/A 0.988 8.002 0.415 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 561 561 616 3311 0 0 0 0
normalized size 1 1. 1.1 5.9 0. 0. 0. 0.
time (sec) N/A 0.851 2.38 0.375 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 98 125 0 297 146 0
normalized size 1 1. 0.64 0.82 0. 1.94 0.95 0.
time (sec) N/A 0.29 0.069 0.059 0. 3.122 5.759 0.


















Problem 283 Optimal Rubi Mathematica Maple 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 79 113 136 223 121 154
normalized size 1 1. 0.65 0.93 1.11 1.83 0.99 1.26
time (sec) N/A 0.215 0.061 0.058 1.221 3.172 3.073 1.399


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 72 69 0 239 78 0
normalized size 1 1. 0.83 0.79 0. 2.75 0.9 0.
time (sec) N/A 0.154 0.046 0.046 0. 2.826 1.713 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 48 64 65 157 49 100
normalized size 1 1. 0.92 1.23 1.25 3.02 0.94 1.92
time (sec) N/A 0.078 0.033 0.043 1.212 3.112 0.987 1.384


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 51 10 31
normalized size 1 1. 1. 0.92 1.15 3.92 0.77 2.38
time (sec) N/A 0.034 0.007 0.004 1.135 2.93 0.57 1.439


















Problem 287 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 68 68 100 144 0 0 0 0
normalized size 1 1. 1.47 2.12 0. 0. 0. 0.
time (sec) N/A 0.149 0.111 0.052 0. 0. 0. 0.


















Problem 288 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 66 66 65 132 0 0 0 0
normalized size 1 1. 0.98 2. 0. 0. 0. 0.
time (sec) N/A 0.162 0.321 0.078 0. 0. 0. 0.


















Problem 289 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 135 135 188 233 0 0 0 0
normalized size 1 1. 1.39 1.73 0. 0. 0. 0.
time (sec) N/A 0.262 1.2 0.116 0. 0. 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 383 383 230 1227 0 711 0 0
normalized size 1 1. 0.6 3.2 0. 1.86 0. 0.
time (sec) N/A 0.554 0.366 0.355 0. 3.316 0. 0.


















Problem 291 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 323 323 268 760 0 0 0 0
normalized size 1 1. 0.83 2.35 0. 0. 0. 0.
time (sec) N/A 0.479 0.835 0.38 0. 0. 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 176 706 0 536 0 0
normalized size 1 1. 0.66 2.66 0. 2.02 0. 0.
time (sec) N/A 0.33 0.28 0.267 0. 3.122 0. 0.


















Problem 293 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 204 204 198 530 0 0 0 0
normalized size 1 1. 0.97 2.6 0. 0. 0. 0.
time (sec) N/A 0.275 0.881 0.262 0. 0. 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 127 296 169 385 0 0
normalized size 1 1. 0.92 2.14 1.22 2.79 0. 0.
time (sec) N/A 0.124 0.284 0.155 1.274 3.201 0. 0.


















Problem 295 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 47 47 62 120 0 0 0 0
normalized size 1 1. 1.32 2.55 0. 0. 0. 0.
time (sec) N/A 0.095 0.13 0.052 0. 0. 0. 0.


















Problem 296 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 223 223 266 564 0 0 0 0
normalized size 1 1. 1.19 2.53 0. 0. 0. 0.
time (sec) N/A 0.342 0.88 0.234 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 167 167 168 526 0 0 0 0
normalized size 1 1. 1.01 3.15 0. 0. 0. 0.
time (sec) N/A 0.227 0.449 0.219 0. 0. 0. 0.


















Problem 298 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 360 360 455 901 0 0 0 0
normalized size 1 1. 1.26 2.5 0. 0. 0. 0.
time (sec) N/A 0.57 5.442 0.342 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 299 299 278 2147 0 0 0 0
normalized size 1 1. 0.93 7.18 0. 0. 0. 0.
time (sec) N/A 0.427 0.629 0.309 0. 0. 0. 0.


















Problem 300 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 515 515 427 933 0 0 0 0
normalized size 1 1. 0.83 1.81 0. 0. 0. 0.
time (sec) N/A 0.793 0.606 0.369 0. 0. 0. 0.


















Problem 301 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 400 400 288 816 0 0 0 0
normalized size 1 1. 0.72 2.04 0. 0. 0. 0.
time (sec) N/A 0.665 1.93 0.386 0. 0. 0. 0.


















Problem 302 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 383 383 318 703 0 0 0 0
normalized size 1 1. 0.83 1.84 0. 0. 0. 0.
time (sec) N/A 0.455 0.46 0.319 0. 0. 0. 0.


















Problem 303 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 233 233 215 478 0 0 0 0
normalized size 1 1. 0.92 2.05 0. 0. 0. 0.
time (sec) N/A 0.383 1.032 0.257 0. 0. 0. 0.


















Problem 304 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 188 188 217 446 0 0 0 0
normalized size 1 1. 1.15 2.37 0. 0. 0. 0.
time (sec) N/A 0.187 0.455 0.151 0. 0. 0. 0.


















Problem 305 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 179 179 152 343 0 0 0 0
normalized size 1 1. 0.85 1.92 0. 0. 0. 0.
time (sec) N/A 0.184 0.455 0.17 0. 0. 0. 0.


















Problem 306 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 412 412 568 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.595 1.565 0.255 0. 0. 0. 0.


















Problem 307 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 305 305 296 660 0 0 0 0
normalized size 1 1. 0.97 2.16 0. 0. 0. 0.
time (sec) N/A 0.464 0.898 0.227 0. 0. 0. 0.


















Problem 308 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 573 573 884 0 0 0 0 0
normalized size 1 1. 1.54 0. 0. 0. 0. 0.
time (sec) N/A 0.926 7.495 0.338 0. 0. 0. 0.


















Problem 309 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 452 452 438 2609 0 0 0 0
normalized size 1 1. 0.97 5.77 0. 0. 0. 0.
time (sec) N/A 0.841 0.849 0.314 0. 0. 0. 0.


















Problem 310 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 512 512 333 1040 0 0 0 0
normalized size 1 1. 0.65 2.03 0. 0. 0. 0.
time (sec) N/A 0.881 1.739 0.342 0. 0. 0. 0.


















Problem 311 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 398 398 359 3705 0 0 0 0
normalized size 1 1. 0.9 9.31 0. 0. 0. 0.
time (sec) N/A 0.761 1.243 0.378 0. 0. 0. 0.


















Problem 312 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 307 307 301 705 0 0 0 0
normalized size 1 1. 0.98 2.3 0. 0. 0. 0.
time (sec) N/A 0.505 1.094 0.286 0. 0. 0. 0.


















Problem 313 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 312 312 280 3112 0 0 0 0
normalized size 1 1. 0.9 9.97 0. 0. 0. 0.
time (sec) N/A 0.364 0.962 0.281 0. 0. 0. 0.


















Problem 314 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 270 270 254 591 0 0 0 0
normalized size 1 1. 0.94 2.19 0. 0. 0. 0.
time (sec) N/A 0.217 1.026 0.184 0. 0. 0. 0.


















Problem 315 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 292 292 236 2729 0 0 0 0
normalized size 1 1. 0.81 9.35 0. 0. 0. 0.
time (sec) N/A 0.294 1.307 0.194 0. 0. 0. 0.


















Problem 316 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 518 518 547 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.863 4.124 0.257 0. 0. 0. 0.


















Problem 317 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 421 421 408 3517 0 0 0 0
normalized size 1 1. 0.97 8.35 0. 0. 0. 0.
time (sec) N/A 0.655 1.857 0.276 0. 0. 0. 0.


















Problem 318 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 687 687 983 0 0 0 0 0
normalized size 1 1. 1.43 0. 0. 0. 0. 0.
time (sec) N/A 1.259 7.979 0.388 0. 0. 0. 0.


















Problem 319 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 506 506 417 4955 0 0 0 0
normalized size 1 1. 0.82 9.79 0. 0. 0. 0.
time (sec) N/A 1.094 3.024 0.33 0. 0. 0. 0.


















Problem 320 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 366 366 178 570 0 0 0 0
normalized size 1 1. 0.49 1.56 0. 0. 0. 0.
time (sec) N/A 0.353 0.762 0.178 0. 0. 0. 0.


















Problem 321 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 935 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.152 2.724 1.248 0. 0. 0. 0.


















Problem 322 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 487 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.151 0.42 0.997 0. 0. 0. 0.


















Problem 323 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 198 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.136 0.295 0.852 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 0.142 2.79 0.285 0. 0. 0. 0.


















Problem 325 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 0.16 4.227 0.444 0. 0. 0. 0.


















Problem 326 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 0.159 4.315 0.433 0. 0. 0. 0.


















Problem 327 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 0.092 0.485 0.249 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 169 270 373 603 355 333
normalized size 1 1. 0.47 0.75 1.04 1.68 0.99 0.93
time (sec) N/A 0.728 0.258 0.055 1.228 2.248 25.476 1.674


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 137 200 284 467 262 273
normalized size 1 1. 0.52 0.75 1.07 1.76 0.99 1.03
time (sec) N/A 0.421 0.144 0.046 1.212 2.172 9.066 1.722


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 99 128 167 315 150 196
normalized size 1 1. 0.65 0.84 1.09 2.06 0.98 1.28
time (sec) N/A 0.217 0.082 0.036 1.21 2.1 2.467 1.678


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 174 174 454 0 0 0 0 0
normalized size 1 1. 2.61 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.219 0.086 0. 0. 0. 0.


















Problem 332 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 294 294 568 0 0 0 0 0
normalized size 1 1. 1.93 0. 0. 0. 0. 0.
time (sec) N/A 0.306 2.537 0.126 0. 0. 0. 0.


















Problem 333 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 409 409 654 0 0 0 0 0
normalized size 1 1. 1.6 0. 0. 0. 0. 0.
time (sec) N/A 0.517 5.364 0.227 0. 0. 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 509 509 177 802 0 0 0 0
normalized size 1 1. 0.35 1.58 0. 0. 0. 0.
time (sec) N/A 0.595 0.685 0.176 0. 0. 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 136 484 0 0 0 0
normalized size 1 1. 0.39 1.39 0. 0. 0. 0.
time (sec) N/A 0.348 0.281 0.135 0. 0. 0. 0.


















Problem 336 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 205 205 86 231 0 0 0 0
normalized size 1 1. 0.42 1.13 0. 0. 0. 0.
time (sec) N/A 0.176 0.141 0.118 0. 0. 0. 0.


















Problem 337 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 40 40 40 39 0 0 0 0
normalized size 1 1. 1. 0.98 0. 0. 0. 0.
time (sec) N/A 0.078 0.037 0.032 0. 0. 0. 0.


















Problem 338 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 218 218 133 262 0 0 0 0
normalized size 1 1. 0.61 1.2 0. 0. 0. 0.
time (sec) N/A 0.188 0.26 0.121 0. 0. 0. 0.


















Problem 339 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 363 363 195 550 0 0 0 0
normalized size 1 1. 0.54 1.52 0. 0. 0. 0.
time (sec) N/A 0.329 0.535 0.184 0. 0. 0. 0.


















Problem 340 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 515 515 297 888 0 0 0 0
normalized size 1 1. 0.58 1.72 0. 0. 0. 0.
time (sec) N/A 0.526 0.66 0.226 0. 0. 0. 0.


















Problem 341 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 0.088 0.475 0.22 0. 0. 0. 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 121 156 0 383 185 0
normalized size 1 1. 0.65 0.83 0. 2.05 0.99 0.
time (sec) N/A 0.498 0.077 0.061 0. 2.167 9.194 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 98 164 171 296 148 193
normalized size 1 1. 0.64 1.07 1.12 1.93 0.97 1.26
time (sec) N/A 0.338 0.068 0.054 1.16 2.143 4.802 1.43


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 83 84 0 293 100 0
normalized size 1 1. 0.79 0.8 0. 2.79 0.95 0.
time (sec) N/A 0.225 0.067 0.052 0. 2.118 3.077 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 58 90 82 209 61 136
normalized size 1 1. 0.91 1.41 1.28 3.27 0.95 2.12
time (sec) N/A 0.11 0.033 0.045 1.16 2.109 1.476 1.48


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 51 10 31
normalized size 1 1. 1. 0.92 1.15 3.92 0.77 2.38
time (sec) N/A 0.031 0.006 0.004 1.086 2.081 0.843 1.452


















Problem 347 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 102 102 146 197 0 0 0 0
normalized size 1 1. 1.43 1.93 0. 0. 0. 0.
time (sec) N/A 0.162 0.129 0.056 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 97 187 0 0 0 0
normalized size 1 1. 1.1 2.12 0. 0. 0. 0.
time (sec) N/A 0.189 0.199 0.083 0. 0. 0. 0.


















Problem 349 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 210 210 304 377 0 0 0 0
normalized size 1 1. 1.45 1.8 0. 0. 0. 0.
time (sec) N/A 0.363 4.463 0.133 0. 0. 0. 0.


















Problem 350 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 67 67 43 42 0 0 0 0
normalized size 1 1. 0.64 0.63 0. 0. 0. 0.
time (sec) N/A 0.115 0.113 0.04 0. 0. 0. 0.


















Problem 351 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 50 50 34 33 0 0 0 0
normalized size 1 1. 0.68 0.66 0. 0. 0. 0.
time (sec) N/A 0.1 0.076 0.033 0. 0. 0. 0.


















Problem 352 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 29 29 23 22 0 0 0 0
normalized size 1 1. 0.79 0.76 0. 0. 0. 0.
time (sec) N/A 0.071 0.013 0.028 0. 0. 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.347 0.079 0. 0. 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 1.545 0.121 0. 0. 0. 0.


















Problem 355 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 206 206 152 199 0 0 0 0
normalized size 1 1. 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.508 0.352 0.262 0. 0. 0. 0.


















Problem 356 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 183 179 135 178 0 0 0 0
normalized size 1 0.98 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.532 0.286 0.168 0. 0. 0. 0.


















Problem 357 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 82 82 65 79 0 0 0 0
normalized size 1 1. 0.79 0.96 0. 0. 0. 0.
time (sec) N/A 0.273 0.175 0.106 0. 0. 0. 0.


















Problem 358 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 121 117 91 118 0 0 0 0
normalized size 1 0.97 0.75 0.98 0. 0. 0. 0.
time (sec) N/A 0.313 0.193 0.092 0. 0. 0. 0.


















Problem 359 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 82 82 63 79 0 0 0 0
normalized size 1 1. 0.77 0.96 0. 0. 0. 0.
time (sec) N/A 0.183 0.127 0.08 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 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.426 1.886 0.155 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 44 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.3 1.102 0.162 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 4.624 0.333 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.125 0.844 0.399 0. 0. 0. 0.


















Problem 364 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 245 241 179 238 0 0 0 0
normalized size 1 0.98 0.73 0.97 0. 0. 0. 0.
time (sec) N/A 0.616 0.654 0.269 0. 0. 0. 0.


















Problem 365 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 206 206 152 199 0 0 0 0
normalized size 1 1. 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.495 0.481 0.208 0. 0. 0. 0.


















Problem 366 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 183 179 136 178 0 0 0 0
normalized size 1 0.98 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.417 0.485 0.175 0. 0. 0. 0.


















Problem 367 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 144 144 109 139 0 0 0 0
normalized size 1 1. 0.76 0.97 0. 0. 0. 0.
time (sec) N/A 0.287 0.253 0.144 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 138 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.853 1.955 0.152 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 105 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.604 1.395 0.143 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.145 4.596 0.44 0. 0. 0. 0.


















Problem 371 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.816 0.369 0. 0. 0. 0.


















Problem 372 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 245 241 180 238 0 0 0 0
normalized size 1 0.98 0.73 0.97 0. 0. 0. 0.
time (sec) N/A 0.577 0.969 0.35 0. 0. 0. 0.


















Problem 373 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 268 268 197 259 0 0 0 0
normalized size 1 1. 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.619 0.866 0.316 0. 0. 0. 0.


















Problem 374 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 245 241 180 238 0 0 0 0
normalized size 1 0.98 0.73 0.97 0. 0. 0. 0.
time (sec) N/A 0.491 0.809 0.262 0. 0. 0. 0.


















Problem 375 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 206 206 153 199 0 0 0 0
normalized size 1 1. 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.359 0.542 0.225 0. 0. 0. 0.


















Problem 376 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 194 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.28 1.943 0.22 0. 0. 0. 0.


















Problem 377 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 158 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.967 1.304 0.171 0. 0. 0. 0.


















Problem 378 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 4.569 0.542 0. 0. 0. 0.


















Problem 379 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.899 0.429 0. 0. 0. 0.


















Problem 380 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 41 41 31 36 0 0 0 0
normalized size 1 1. 0.76 0.88 0. 0. 0. 0.
time (sec) N/A 0.161 0.071 0.052 0. 0. 0. 0.


















Problem 381 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 27 27 22 23 0 0 0 0
normalized size 1 1. 0.81 0.85 0. 0. 0. 0.
time (sec) N/A 0.155 0.077 0.043 0. 0. 0. 0.


















Problem 382 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 27 27 22 24 0 0 0 0
normalized size 1 1. 0.81 0.89 0. 0. 0. 0.
time (sec) N/A 0.145 0.068 0.041 0. 0. 0. 0.


















Problem 383 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 27 27 22 24 0 0 0 0
normalized size 1 1. 0.81 0.89 0. 0. 0. 0.
time (sec) N/A 0.144 0.023 0. 0. 0. 0. 0.


















Problem 384 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 9 9 9 10 0 0 0 0
normalized size 1 1. 1. 1.11 0. 0. 0. 0.
time (sec) N/A 0.08 0.026 0.034 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 50 7 30
normalized size 1 1. 1. 1.11 1.33 5.56 0.78 3.33
time (sec) N/A 0.037 0.015 0.004 1.119 2.034 0.532 1.325


















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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.1 1.053 0.078 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.131 0.092 0. 0. 0. 0.


















Problem 388 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 183 179 136 178 0 0 0 0
normalized size 1 0.98 0.74 0.97 0. 0. 0. 0.
time (sec) N/A 0.459 0.342 0.125 0. 0. 0. 0.


















Problem 389 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 144 144 109 139 0 0 0 0
normalized size 1 1. 0.76 0.97 0. 0. 0. 0.
time (sec) N/A 0.403 0.218 0.151 0. 0. 0. 0.


















Problem 390 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 121 117 92 118 0 0 0 0
normalized size 1 0.97 0.76 0.98 0. 0. 0. 0.
time (sec) N/A 0.386 0.216 0.095 0. 0. 0. 0.


















Problem 391 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 82 82 65 79 0 0 0 0
normalized size 1 1. 0.79 0.96 0. 0. 0. 0.
time (sec) N/A 0.292 0.18 0.083 0. 0. 0. 0.


















Problem 392 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 54 50 46 58 0 0 0 0
normalized size 1 0.93 0.85 1.07 0. 0. 0. 0.
time (sec) N/A 0.185 0.111 0.034 0. 0. 0. 0.


















Problem 393 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 16 16 16 17 22 63 0 39
normalized size 1 1. 1. 1.06 1.38 3.94 0. 2.44
time (sec) N/A 0.05 0.025 0.006 1.087 2.135 0. 1.412


















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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 1.694 0.105 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.133 1.166 0.085 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.145 2.055 0.161 0. 0. 0. 0.


















Problem 397 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 0.102 1.066 0.121 0. 0. 0. 0.


















Problem 398 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 0.053 0.063 0.098 0. 0. 0. 0.


















Problem 399 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 0.138 1.453 0.249 0. 0. 0. 0.


















Problem 400 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 0.141 1.083 0.158 0. 0. 0. 0.


















Problem 401 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 0.882 0.766 0. 0. 0. 0.


















Problem 402 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.49 0.683 0. 0. 0. 0.


















Problem 403 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 0.114 0.115 0.605 0. 0. 0. 0.


















Problem 404 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 0.124 0.333 0.157 0. 0. 0. 0.


















Problem 405 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 0.132 0.587 0.326 0. 0. 0. 0.


















Problem 406 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 94 94 82 106 0 0 0 0
normalized size 1 1. 0.87 1.13 0. 0. 0. 0.
time (sec) N/A 0.184 0.49 0.052 0. 0. 0. 0.


















Problem 407 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 77 77 69 84 0 0 0 0
normalized size 1 1. 0.9 1.09 0. 0. 0. 0.
time (sec) N/A 0.17 0.383 0.033 0. 0. 0. 0.


















Problem 408 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 54 54 54 60 0 0 0 0
normalized size 1 1. 1. 1.11 0. 0. 0. 0.
time (sec) N/A 0.135 0.212 0.036 0. 0. 0. 0.


















Problem 409 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 57 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 1.475 0.08 0. 0. 0. 0.


















Problem 410 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 57 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 3.636 0.132 0. 0. 0. 0.


















Problem 411 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 213 209 175 633 0 0 0 0
normalized size 1 0.98 0.82 2.97 0. 0. 0. 0.
time (sec) N/A 0.711 0.668 0.25 0. 0. 0. 0.


















Problem 412 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 93 93 82 248 0 0 0 0
normalized size 1 1. 0.88 2.67 0. 0. 0. 0.
time (sec) N/A 0.562 0.31 0.145 0. 0. 0. 0.


















Problem 413 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 149 198 126 364 0 0 0 0
normalized size 1 1.33 0.85 2.44 0. 0. 0. 0.
time (sec) N/A 0.412 0.362 0.135 0. 0. 0. 0.


















Problem 414 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 85 85 73 192 0 0 0 0
normalized size 1 1. 0.86 2.26 0. 0. 0. 0.
time (sec) N/A 0.181 0.167 0.126 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 102 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.229 10.363 0.263 0. 0. 0. 0.


















Problem 416 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 55 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.154 2.67 0.177 0. 0. 0. 0.


















Problem 417 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 0.127 18.291 0.385 0. 0. 0. 0.


















Problem 418 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 0.131 3.517 0.472 0. 0. 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 273 399 958 0 0 0 0
normalized size 1 0.99 1.44 3.46 0. 0. 0. 0.
time (sec) N/A 1.006 0.8 0.369 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 306 704 0 0 0 0
normalized size 1 1. 1.4 3.21 0. 0. 0. 0.
time (sec) N/A 0.716 0.731 0.298 0. 0. 0. 0.


















Problem 421 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 213 209 295 633 0 0 0 0
normalized size 1 0.98 1.38 2.97 0. 0. 0. 0.
time (sec) N/A 0.732 0.607 0.233 0. 0. 0. 0.


















Problem 422 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 149 149 122 420 0 0 0 0
normalized size 1 1. 0.82 2.82 0. 0. 0. 0.
time (sec) N/A 0.318 0.479 0.191 0. 0. 0. 0.


















Problem 423 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 174 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.437 7.291 0.191 0. 0. 0. 0.


















Problem 424 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 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.252 4.114 0.345 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.139 14.038 0.813 0. 0. 0. 0.


















Problem 426 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 66 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.199 2.687 0.45 0. 0. 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 273 408 1070 0 0 0 0
normalized size 1 0.99 1.47 3.86 0. 0. 0. 0.
time (sec) N/A 1.215 1.338 0.452 0. 0. 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 413 1044 0 0 0 0
normalized size 1 1. 1.47 3.72 0. 0. 0. 0.
time (sec) N/A 1.072 1.201 0.416 0. 0. 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 271 404 958 0 0 0 0
normalized size 1 0.99 1.47 3.48 0. 0. 0. 0.
time (sec) N/A 0.97 1.008 0.346 0. 0. 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 311 704 0 0 0 0
normalized size 1 1. 1.44 3.26 0. 0. 0. 0.
time (sec) N/A 0.446 0.719 0.301 0. 0. 0. 0.


















Problem 431 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 232 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.568 9.042 0.267 0. 0. 0. 0.


















Problem 432 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 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.318 3.263 0.208 0. 0. 0. 0.


















Problem 433 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.144 14.017 0.807 0. 0. 0. 0.


















Problem 434 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.144 2.934 0.72 0. 0. 0. 0.


















Problem 435 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 204 200 158 633 0 0 0 0
normalized size 1 0.98 0.77 3.1 0. 0. 0. 0.
time (sec) N/A 0.48 0.33 0.179 0. 0. 0. 0.


















Problem 436 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 141 141 117 420 0 0 0 0
normalized size 1 1. 0.83 2.98 0. 0. 0. 0.
time (sec) N/A 0.395 0.28 0.195 0. 0. 0. 0.


















Problem 437 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 142 138 113 364 0 0 0 0
normalized size 1 0.97 0.8 2.56 0. 0. 0. 0.
time (sec) N/A 0.367 0.261 0.128 0. 0. 0. 0.


















Problem 438 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 79 79 70 192 0 0 0 0
normalized size 1 1. 0.89 2.43 0. 0. 0. 0.
time (sec) N/A 0.258 0.36 0.107 0. 0. 0. 0.


















Problem 439 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 73 73 60 151 0 0 0 0
normalized size 1 1. 0.82 2.07 0. 0. 0. 0.
time (sec) N/A 0.161 0.123 0.066 0. 0. 0. 0.


















Problem 440 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 66 0 41
normalized size 1 1. 1. 1.06 1.33 3.67 0. 2.28
time (sec) N/A 0.045 0.012 0.007 1.164 2.243 0. 1.358


















Problem 441 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 0.147 5.126 0.097 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 46 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.148 1.197 0.06 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.137 7.7 0.347 0. 0. 0. 0.


















Problem 444 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 66 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.201 3.38 0.174 0. 0. 0. 0.


















Problem 445 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 0.093 5.086 0.129 0. 0. 0. 0.


















Problem 446 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 61 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 2.336 0.102 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 7.473 0.326 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.13 19.027 0.185 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.137 13.868 0.547 0. 0. 0. 0.


















Problem 450 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 0.136 5.631 0.412 0. 0. 0. 0.


















Problem 451 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 0.092 10.686 0.26 0. 0. 0. 0.


















Problem 452 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 61 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 2.775 0.182 0. 0. 0. 0.


















Problem 453 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 0.131 12.43 0.617 0. 0. 0. 0.


















Problem 454 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 11.42 0.7 0. 0. 0. 0.


















Problem 455 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.963 0.737 0. 0. 0. 0.


















Problem 456 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.538 0.673 0. 0. 0. 0.


















Problem 457 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 0.113 0.119 0.591 0. 0. 0. 0.


















Problem 458 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 0.152 0.342 0.177 0. 0. 0. 0.


















Problem 459 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 0.14 0.633 0.332 0. 0. 0. 0.


















Problem 460 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.14 0.849 0.4 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 55 12 31
normalized size 1 1. 1. 0.92 1.15 4.23 0.92 2.38
time (sec) N/A 0.035 0.007 0.008 1.321 2.628 1.253 1.265


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 254 254 232 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 1.308 0.842 0.172 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 335 335 436 0 0 0 0 0
normalized size 1 1. 1.3 0. 0. 0. 0. 0.
time (sec) N/A 1.379 0.696 0.226 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 236 236 227 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.767 0.445 0.128 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 228 228 295 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.525 0.873 0.139 0. 0. 0. 0.


















Problem 466 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 174 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.796 4.072 0.184 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 474 474 462 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 1.527 0.983 0.313 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 457 457 577 0 0 0 0 0
normalized size 1 1. 1.26 0. 0. 0. 0. 0.
time (sec) N/A 1.78 1.557 0.366 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 358 358 351 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 1.33 0.663 0.231 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 346 346 440 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.729 2.022 0.204 0. 0. 0. 0.


















Problem 471 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 374 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.441 3.129 0.243 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 142 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.408 0.189 0.187 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 104 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0.
time (sec) N/A 0.168 0.1 0.207 0. 0. 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 36 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.077 0.038 0.037 0. 0. 0. 0.


















Problem 475 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 86 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.587 0.205 0. 0. 0. 0.


















Problem 476 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 177 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.199 1.366 0.234 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 449 449 186 0 0 0 0 0
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 0.565 0.319 0.155 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 126 0 0 0 0 0
normalized size 1 1. 0.46 0. 0. 0. 0. 0.
time (sec) N/A 0.273 0.271 0.218 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 36 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.074 0.042 0.039 0. 0. 0. 0.


















Problem 480 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 86 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.636 0.172 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 514 514 201 0 0 0 0 0
normalized size 1 1. 0.39 0. 0. 0. 0. 0.
time (sec) N/A 0.765 0.345 0.164 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 135 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.301 0.291 0.207 0. 0. 0. 0.


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 36 0 0 0 0
normalized size 1 1. 1. 0.86 0. 0. 0. 0.
time (sec) N/A 0.072 0.036 0.036 0. 0. 0. 0.


















Problem 484 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 86 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.611 0.177 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 309 309 156 0 0 0 0 0
normalized size 1 1. 0.5 0. 0. 0. 0. 0.
time (sec) N/A 0.36 0.175 0.198 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 176 176 110 0 0 0 0 0
normalized size 1 1. 0.62 0. 0. 0. 0. 0.
time (sec) N/A 0.148 0.087 0.224 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 34 0 54 0 0
normalized size 1 1. 1. 0.87 0. 1.38 0. 0.
time (sec) N/A 0.062 0.028 0.043 0. 2.546 0. 0.


















Problem 488 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 83 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.339 0.178 0. 0. 0. 0.


















Problem 489 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 171 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.923 0.218 0. 0. 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 433 210 0 0 0 0 0
normalized size 1 1. 0.48 0. 0. 0. 0. 0.
time (sec) N/A 0.548 0.301 0.157 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 133 0 0 0 0 0
normalized size 1 1. 0.51 0. 0. 0. 0. 0.
time (sec) N/A 0.276 0.245 0.214 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 34 0 54 0 0
normalized size 1 1. 1. 0.87 0. 1.38 0. 0.
time (sec) N/A 0.064 0.03 0.039 0. 2.481 0. 0.


















Problem 493 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 83 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.371 0.161 0. 0. 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 33 33 34 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.08 0.068 0.105 0. 0. 0. 0.


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 396 396 197 0 0 0 0 0
normalized size 1 1. 0.5 0. 0. 0. 0. 0.
time (sec) N/A 0.308 0.321 0.164 0. 0. 0. 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 264 264 141 0 0 0 0 0
normalized size 1 1. 0.53 0. 0. 0. 0. 0.
time (sec) N/A 0.227 0.184 0.162 0. 0. 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 101 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.164 0.097 0.22 0. 0. 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 36 0 0 0 0
normalized size 1 1. 1. 0.9 0. 0. 0. 0.
time (sec) N/A 0.072 0.042 0.036 0. 0. 0. 0.


















Problem 499 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.721 0.178 0. 0. 0. 0.


















Problem 500 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 1.598 0.24 0. 0. 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 391 391 399 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.302 1.066 0.159 0. 0. 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 256 256 225 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.208 0.367 0.164 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 115 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.185 0.229 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 36 0 131 0 0
normalized size 1 1. 1. 0.9 0. 3.28 0. 0.
time (sec) N/A 0.071 0.037 0.039 0. 2.584 0. 0.


















Problem 505 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 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.71 0.178 0. 0. 0. 0.


















Problem 506 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 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 1.467 0.238 0. 0. 0. 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 296 296 262 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.377 0.397 0.162 0. 0. 0. 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 182 182 122 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.145 0.21 0. 0. 0. 0.


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 36 0 134 0 0
normalized size 1 1. 1. 0.86 0. 3.19 0. 0.
time (sec) N/A 0.07 0.04 0.042 0. 2.497 0. 0.


















Problem 510 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 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.702 0.174 0. 0. 0. 0.


















Problem 511 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 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 1.479 0.228 0. 0. 0. 0.


















Problem 512 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 235 235 170 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.454 0.946 0.241 0. 0. 0. 0.


















Problem 513 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 355 355 229 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.473 0.924 0.19 0. 0. 0. 0.


















Problem 514 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 235 235 160 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.298 0.581 0.154 0. 0. 0. 0.


















Problem 515 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 198 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 0.208 0.194 0. 0. 0. 0.


















Problem 516 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 83 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.147 0.208 0.185 0. 0. 0. 0.


















Problem 517 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 616 616 429 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.833 3.087 0.188 0. 0. 0. 0.


















Problem 518 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 542 542 390 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.631 1.743 0.158 0. 0. 0. 0.


















Problem 519 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 420 420 287 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.417 1.444 0.137 0. 0. 0. 0.


















Problem 520 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 389 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.153 0.244 0.162 0. 0. 0. 0.


















Problem 521 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 272 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.618 0.163 0. 0. 0. 0.


















Problem 522 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 816 816 667 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.975 6.975 0.205 0. 0. 0. 0.


















Problem 523 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 745 745 685 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.785 2.93 0.161 0. 0. 0. 0.


















Problem 524 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 632 632 529 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.6 5.306 0.132 0. 0. 0. 0.


















Problem 525 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 755 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.155 0.27 0.152 0. 0. 0. 0.


















Problem 526 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 454 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.156 0.639 0.162 0. 0. 0. 0.


















Problem 527 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 0.104 0.477 0.114 0. 0. 0. 0.


















Problem 528 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 113 113 100 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.253 0.19 0.187 0. 0. 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 86 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.193 0.206 0.174 0. 0. 0. 0.


















Problem 530 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 49 49 43 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.072 0.087 0. 0. 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 18 0 212 34 39
normalized size 1 1. 1. 1.06 0. 12.47 2. 2.29
time (sec) N/A 0.038 0.01 0.005 0. 2.527 1.053 1.398


















Problem 532 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 0.102 5.666 0.091 0. 0. 0. 0.


















Problem 533 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 0.102 1.832 0.122 0. 0. 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 361 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.597 1.422 0.379 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 304 304 273 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.343 1.543 0.252 0. 0. 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 233 0 0 0 0 0
normalized size 1 1. 1.59 0. 0. 0. 0. 0.
time (sec) N/A 0.196 0.568 0.252 0. 0. 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 227 0 0 0 0 0
normalized size 1 1. 1.44 0. 0. 0. 0. 0.
time (sec) N/A 0.298 0.588 0.296 0. 0. 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 283 0 0 0 0 0
normalized size 1 1. 1.56 0. 0. 0. 0. 0.
time (sec) N/A 0.401 1.435 0.308 0. 0. 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 141 0 0 1332 0 0
normalized size 1 1. 0.75 0. 0. 7.12 0. 0.
time (sec) N/A 0.306 0.458 0.295 0. 3.134 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 459 459 683 0 0 0 0 0
normalized size 1 1. 1.49 0. 0. 0. 0. 0.
time (sec) N/A 0.441 1.687 0.247 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 352 0 0 0 0 0
normalized size 1 1. 1.43 0. 0. 0. 0. 0.
time (sec) N/A 0.252 0.879 0.243 0. 0. 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 304 304 273 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.341 1.549 0.259 0. 0. 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 344 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.465 1.057 0.284 0. 0. 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 514 0 0 0 0 0
normalized size 1 1. 1.81 0. 0. 0. 0. 0.
time (sec) N/A 0.474 2.269 0.295 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(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 364 364 706 0 0 0 0 0
normalized size 1 1. 1.94 0. 0. 0. 0. 0.
time (sec) N/A 0.384 5.687 0.292 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 481 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 0.304 1.156 0.246 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 459 459 683 0 0 0 0 0
normalized size 1 1. 1.49 0. 0. 0. 0. 0.
time (sec) N/A 0.426 1.597 0.253 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 565 0 0 0 0 0
normalized size 1 1. 1.36 0. 0. 0. 0. 0.
time (sec) N/A 0.571 1.187 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 465 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.628 1.631 0.29 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 518 518 779 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.416 3.843 0.292 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(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 472 472 1005 0 0 0 0 0
normalized size 1 1. 2.13 0. 0. 0. 0. 0.
time (sec) N/A 0.444 7.294 0.296 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 465 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.629 1.667 0.293 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 344 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 0.466 1.028 0.288 0. 0. 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 227 0 0 0 0 0
normalized size 1 1. 1.44 0. 0. 0. 0. 0.
time (sec) N/A 0.29 0.583 0.298 0. 0. 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 113 0 0 0 0 0
normalized size 1 1. 1.92 0. 0. 0. 0. 0.
time (sec) N/A 0.17 0.439 0.237 0. 0. 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 113 0 0 1011 0 0
normalized size 1 1. 1.02 0. 0. 9.11 0. 0.
time (sec) N/A 0.241 0.397 0.255 0. 2.312 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 143 0 0 1386 0 0
normalized size 1 1. 0.48 0. 0. 4.7 0. 0.
time (sec) N/A 0.337 0.496 0.26 0. 2.918 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 517 517 781 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 0.422 3.887 0.306 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 515 0 0 0 0 0
normalized size 1 1. 1.82 0. 0. 0. 0. 0.
time (sec) N/A 0.478 2.351 0.3 0. 0. 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 285 0 0 0 0 0
normalized size 1 1. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 0.4 1.209 0.299 0. 0. 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 94 0 0 1008 0 0
normalized size 1 1. 0.84 0. 0. 9. 0. 0.
time (sec) N/A 0.249 0.403 0.247 0. 2.428 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 118 0 112 0 0 0
normalized size 1 1. 1.15 0. 1.09 0. 0. 0.
time (sec) N/A 0.205 0.465 0.243 1.222 0. 0. 0.


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 201 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.306 0.607 0.25 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(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 470 470 1331 0 0 0 0 0
normalized size 1 1. 2.83 0. 0. 0. 0. 0.
time (sec) N/A 0.439 8.667 0.309 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(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 362 362 706 0 0 0 0 0
normalized size 1 1. 1.95 0. 0. 0. 0. 0.
time (sec) N/A 0.392 5.632 0.291 0. 0. 0. 0.


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 131 0 0 1330 0 0
normalized size 1 1. 0.71 0. 0. 7.19 0. 0.
time (sec) N/A 0.306 0.419 0.313 0. 2.732 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 139 0 0 1384 0 0
normalized size 1 1. 0.47 0. 0. 4.71 0. 0.
time (sec) N/A 0.333 0.439 0.249 0. 2.927 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 202 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.299 0.601 0.245 0. 0. 0. 0.


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 193 0 215 0 0 0
normalized size 1 1. 0.95 0. 1.06 0. 0. 0.
time (sec) N/A 0.245 0.553 0.254 1.248 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 680 680 890 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 1.108 2.439 0.288 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 508 508 705 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.634 1.814 0.283 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 352 0 0 0 0 0
normalized size 1 1. 1.44 0. 0. 0. 0. 0.
time (sec) N/A 0.353 1.108 0.286 0. 0. 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 315 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.508 1.144 0.331 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 594 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 1.005 4.154 0.272 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 518 518 783 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 1.149 8.062 0.323 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(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 774 774 1084 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 0.858 3.261 0.269 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 396 396 524 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 0.482 1.764 0.263 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 508 508 705 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.649 1.82 0.289 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(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 436 436 532 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.633 2.183 0.316 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 752 752 1174 0 0 0 0 0
normalized size 1 1. 1.56 0. 0. 0. 0. 0.
time (sec) N/A 1.128 9.045 0.264 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 580 580 1609 0 0 0 0 0
normalized size 1 1. 2.77 0. 0. 0. 0. 0.
time (sec) N/A 1.204 10.047 0.261 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 548 548 735 0 0 0 0 0
normalized size 1 1. 1.34 0. 0. 0. 0. 0.
time (sec) N/A 0.612 2.247 0.266 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 774 774 1084 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 0.833 3.115 0.269 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(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 680 680 890 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 1.063 2.366 0.284 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 Yes TBD TBD TBD TBD TBD
size 615 615 723 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.781 3.606 0.323 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 972 972 2492 0 0 0 0 0
normalized size 1 1. 2.56 0. 0. 0. 0. 0.
time (sec) N/A 1.364 11.613 0.274 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 790 790 2622 0 0 0 0 0
normalized size 1 1. 3.32 0. 0. 0. 0. 0.
time (sec) N/A 1.365 13.471 0.266 0. 0. 0. 0.


















Problem 588 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 615 615 723 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.785 3.358 0.323 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(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 436 436 529 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.669 2.148 0.308 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 315 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.511 1.119 0.323 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 168 0 0 0 0 0
normalized size 1 1. 2.85 0. 0. 0. 0. 0.
time (sec) N/A 0.296 0.815 0.261 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 464 464 508 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.753 2.19 0.286 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 942 942 524 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0.
time (sec) N/A 1.332 6.875 0.286 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 972 972 2323 0 0 0 0 0
normalized size 1 1. 2.39 0. 0. 0. 0. 0.
time (sec) N/A 1.37 14.289 0.257 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 752 752 1526 0 0 0 0 0
normalized size 1 1. 2.03 0. 0. 0. 0. 0.
time (sec) N/A 1.133 10.815 0.262 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 530 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.988 5.454 0.268 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 464 464 511 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.704 2.218 0.276 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 224 224 488 0 0 0 0 0
normalized size 1 1. 2.18 0. 0. 0. 0. 0.
time (sec) N/A 0.423 1.369 0.277 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 743 743 754 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.909 8.257 0.276 0. 0. 0. 0.


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 794 794 2552 0 0 0 0 0
normalized size 1 1. 3.21 0. 0. 0. 0. 0.
time (sec) N/A 1.396 13.648 0.273 0. 0. 0. 0.


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 584 584 1617 0 0 0 0 0
normalized size 1 1. 2.77 0. 0. 0. 0. 0.
time (sec) N/A 1.205 10.073 0.266 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 522 522 788 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 1.155 8.207 0.324 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 942 942 528 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0.
time (sec) N/A 1.301 6.602 0.273 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 743 743 757 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.897 8.208 0.269 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 386 386 642 0 0 0 0 0
normalized size 1 1. 1.66 0. 0. 0. 0. 0.
time (sec) N/A 0.531 7.821 0.278 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 312 312 260 451 560 803 593 547
normalized size 1 1. 0.83 1.45 1.79 2.57 1.9 1.75
time (sec) N/A 0.351 0.343 0.014 1.227 2.488 24.291 1.842


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 187 316 387 559 389 396
normalized size 1 1. 0.85 1.43 1.75 2.53 1.76 1.79
time (sec) N/A 0.261 0.273 0.005 1.241 2.549 8.749 1.844


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 125 204 243 370 240 262
normalized size 1 1. 0.85 1.39 1.65 2.52 1.63 1.78
time (sec) N/A 0.143 0.163 0.005 1.176 2.363 2.788 1.625


















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 81 81 71 109 123 208 109 146
normalized size 1 1. 0.88 1.35 1.52 2.57 1.35 1.8
time (sec) N/A 0.07 0.069 0.005 1.122 2.479 0.668 1.555


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 31 41 95 26 55
normalized size 1 1. 1. 1.03 1.37 3.17 0.87 1.83
time (sec) N/A 0.014 0.008 0.01 1.23 2.349 0.151 1.46


















Problem 611 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 485 485 434 224 0 0 0 0
normalized size 1 1. 0.89 0.46 0. 0. 0. 0.
time (sec) N/A 0.832 0.426 0.424 0. 0. 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 707 707 622 1745 0 0 0 0
normalized size 1 1. 0.88 2.47 0. 0. 0. 0.
time (sec) N/A 1.075 1.606 0.668 0. 0. 0. 0.


















Problem 613 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 559 559 443 1166 923 1338 989 986
normalized size 1 1. 0.79 2.09 1.65 2.39 1.77 1.76
time (sec) N/A 0.966 0.596 0.115 1.259 2.586 18.826 3.024


















Problem 614 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 329 329 289 620 579 845 595 656
normalized size 1 1. 0.88 1.88 1.76 2.57 1.81 1.99
time (sec) N/A 0.582 0.426 0.071 1.193 2.923 6.181 2.552


















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 153 153 164 271 294 454 279 373
normalized size 1 1. 1.07 1.77 1.92 2.97 1.82 2.44
time (sec) N/A 0.277 0.213 0.046 1.175 2.792 1.626 2.073


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 74 72 97 212 82 150
normalized size 1 1. 1.61 1.57 2.11 4.61 1.78 3.26
time (sec) N/A 0.064 0.059 0.027 1.1 2.74 0.32 1.706


















Problem 617 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 739 739 985 0 0 0 0 0
normalized size 1 1. 1.33 0. 0. 0. 0. 0.
time (sec) N/A 1.315 0.681 0.296 0. 0. 0. 0.


















Problem 618 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 670 658 444 654 0 0 0 0
normalized size 1 0.98 0.66 0.98 0. 0. 0. 0.
time (sec) N/A 1.344 0.974 0.221 0. 0. 0. 0.


















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 388 380 253 380 0 0 0 0
normalized size 1 0.98 0.65 0.98 0. 0. 0. 0.
time (sec) N/A 0.786 0.541 0.131 0. 0. 0. 0.


















Problem 620 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 180 176 126 178 0 0 0 0
normalized size 1 0.98 0.7 0.99 0. 0. 0. 0.
time (sec) N/A 0.367 0.24 0.086 0. 0. 0. 0.


















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 54 54 45 56 0 0 0 0
normalized size 1 1. 0.83 1.04 0. 0. 0. 0.
time (sec) N/A 0.07 0.019 0.031 0. 0. 0. 0.


















Problem 622 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 0.04 0.678 0.237 0. 0. 0. 0.


















Problem 623 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 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 3.29 0.305 0. 0. 0. 0.


















Problem 624 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 495 483 356 1036 0 0 0 0
normalized size 1 0.98 0.72 2.09 0. 0. 0. 0.
time (sec) N/A 0.875 2.029 0.221 0. 0. 0. 0.


















Problem 625 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 247 239 190 438 0 0 0 0
normalized size 1 0.97 0.77 1.77 0. 0. 0. 0.
time (sec) N/A 0.476 0.935 0.115 0. 0. 0. 0.


















Problem 626 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 85 81 71 118 0 0 0 0
normalized size 1 0.95 0.84 1.39 0. 0. 0. 0.
time (sec) N/A 0.188 0.142 0.043 0. 0. 0. 0.


















Problem 627 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 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 11.365 0.216 0. 0. 0. 0.


















Problem 628 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 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 27.445 0.344 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 672 672 535 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 1.879 6.177 0.35 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 322 322 319 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.932 2.78 0.178 0. 0. 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 101 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.26 0.095 0. 0. 0. 0. 0.


















Problem 632 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 0.056 7.048 0.178 0. 0. 0. 0.


















Problem 633 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 0.054 15.953 0.365 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 770 0 0 0 0 0
normalized size 1 1. 1.8 0. 0. 0. 0. 0.
time (sec) N/A 1.264 4.197 0.181 0. 0. 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 135 135 251 0 0 0 0 0
normalized size 1 1. 1.86 0. 0. 0. 0. 0.
time (sec) N/A 0.251 0.161 0. 0. 0. 0. 0.


















Problem 636 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 0.065 2.74 0.178 0. 0. 0. 0.


















Problem 637 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 8.914 0.392 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 608 608 530 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 1.195 1.171 0.324 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 287 287 218 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.572 0.662 0.192 0. 0. 0. 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 101 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.104 0. 0. 0. 0. 0.


















Problem 641 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 0.06 0.133 0.186 0. 0. 0. 0.


















Problem 642 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.249 0.361 0. 0. 0. 0.


















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 349 349 303 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.691 1.447 0.185 0. 0. 0. 0.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 137 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.251 0.115 0. 0. 0. 0. 0.


















Problem 645 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 0.067 0.141 0.184 0. 0. 0. 0.


















Problem 646 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.272 0.369 0. 0. 0. 0.


















Problem 647 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 4.968 0.636 0. 0. 0. 0.


















Problem 648 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 0.025 3.755 0.447 0. 0. 0. 0.


















Problem 649 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 75 0 0 736 0 0
normalized size 1 1. 1.07 0. 0. 10.51 0. 0.
time (sec) N/A 0.101 0.112 0.295 0. 2.753 0. 0.


















Problem 650 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 146 146 139 0 0 1503 0 0
normalized size 1 1. 0.95 0. 0. 10.29 0. 0.
time (sec) N/A 0.169 0.335 0.325 0. 3.297 0. 0.


















Problem 651 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 227 227 191 0 0 2782 0 0
normalized size 1 1. 0.84 0. 0. 12.26 0. 0.
time (sec) N/A 0.82 0.427 0.412 0. 4.291 0. 0.


















Problem 652 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 0.042 13.704 0.242 0. 0. 0. 0.


















Problem 653 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 0.045 10.862 0.224 0. 0. 0. 0.


















Problem 654 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 0.049 3.008 0.174 0. 0. 0. 0.


















Problem 655 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 0.048 5.72 0.182 0. 0. 0. 0.


















Problem 656 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 1.172 0.218 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 1.034 0.201 0. 0. 0. 0.


















Problem 658 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 0.054 1.489 0.151 0. 0. 0. 0.


















Problem 659 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 0.053 3.603 0.152 0. 0. 0. 0.


















Problem 660 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 4.419 0.209 0. 0. 0. 0.


















Problem 661 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 6.223 0.197 0. 0. 0. 0.


















Problem 662 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 0.051 16.394 0.152 0. 0. 0. 0.


















Problem 663 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 0.05 28.172 0.153 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 [250] had the largest ratio of [ 0.7308 ]

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. 22 0.227







2 A 6 6 1. 22 0.273







3 A 5 5 1. 22 0.227







4 A 4 3 1. 20 0.15







5 A 5 4 1. 19 0.21







6 A 8 8 1. 22 0.364







7 A 6 7 1. 22 0.318







8 A 8 8 1. 22 0.364







9 A 6 7 1. 22 0.318







10 A 6 6 1. 24 0.25







11 A 7 8 1. 24 0.333







12 A 5 5 1. 24 0.208







13 A 5 3 1. 22 0.136







14 A 5 5 1. 21 0.238







15 A 12 8 1. 24 0.333







16 A 7 7 1. 24 0.292







17 A 12 10 1. 24 0.417







18 A 7 8 1. 24 0.333







19 A 5 5 1. 24 0.208







20 A 8 7 1. 24 0.292







21 A 5 5 1. 24 0.208







22 A 6 3 1. 22 0.136







23 A 5 5 1. 21 0.238







24 A 17 8 1. 24 0.333







25 A 7 7 1. 24 0.292







26 A 17 10 1. 24 0.417







27 A 8 8 1. 24 0.333







28 A 12 8 1. 24 0.333







29 A 8 8 1. 24 0.333







30 A 8 6 1. 24 0.25







31 A 5 5 1. 22 0.227







32 A 6 4 1. 21 0.19







33 A 7 5 1. 24 0.208







34 A 10 8 1. 24 0.333







35 A 9 7 1. 24 0.292







36 A 15 9 1. 24 0.375







37 A 12 9 1. 24 0.375







38 A 8 8 1. 24 0.333







39 A 8 6 1. 24 0.25







40 A 2 2 1. 22 0.091







41 A 8 6 1. 21 0.286







42 A 9 7 1. 24 0.292







43 A 13 11 1. 24 0.458







44 A 12 9 1. 24 0.375







45 A 19 11 1.1 24 0.458







46 A 12 8 1. 24 0.333







47 A 4 3 1. 24 0.125







48 A 10 7 1. 24 0.292







49 A 3 3 1. 22 0.136







50 A 10 6 1. 21 0.286







51 A 12 8 1. 24 0.333







52 A 16 11 1. 24 0.458







53 A 16 10 1. 24 0.417







54 A 23 11 1.17 24 0.458







55 A 3 4 1.02 26 0.154







56 A 5 4 1.52 26 0.154







57 A 2 1 1.72 24 0.042







58 A 3 3 1.66 23 0.13







59 A 8 6 1.99 26 0.231







60 A 3 3 1.72 26 0.115







61 A 8 6 1.78 26 0.231







62 A 3 2 1.71 26 0.077







63 A 4 5 1.02 26 0.192







64 A 8 6 1.54 26 0.231







65 A 3 2 1.9 24 0.083







66 A 6 5 1.62 23 0.217







67 A 10 7 1.86 26 0.269







68 A 6 5 1.64 26 0.192







69 A 11 8 1.74 26 0.308







70 A 6 5 1.6 26 0.192







71 A 4 5 1.01 26 0.192







72 A 12 8 1.58 26 0.308







73 B 3 2 2.08 24 0.083







74 A 8 6 1.54 23 0.261







75 A 13 8 1.84 26 0.308







76 A 10 8 1.64 26 0.308







77 A 13 9 1.73 26 0.346







78 A 10 7 1.6 26 0.269







79 A 3 3 1. 12 0.25







80 A 6 4 1.44 26 0.154







81 A 5 3 1.35 26 0.115







82 A 4 4 1.45 26 0.154







83 A 3 3 1.29 26 0.115







84 A 2 2 1.52 24 0.083







85 A 1 1 1. 23 0.043







86 A 6 4 1. 26 0.154







87 A 2 2 1.54 26 0.077







88 A 8 6 1.19 26 0.231







89 A 4 4 1.45 26 0.154







90 A 4 5 1.02 26 0.192







91 A 7 6 1.38 26 0.231







92 A 3 5 1.02 26 0.192







93 A 3 3 1.31 26 0.115







94 A 2 2 1.56 24 0.083







95 A 2 2 1.49 23 0.087







96 A 8 6 1.27 26 0.231







97 A 4 5 1.02 26 0.192







98 A 11 8 1.31 26 0.308







99 A 5 6 1.02 26 0.231







100 A 11 6 1.33 26 0.231







101 A 5 7 1.02 26 0.269







102 A 7 5 1.28 26 0.192







103 A 4 6 1.02 26 0.231







104 A 4 3 1.49 26 0.115







105 A 3 3 1.52 24 0.125







106 A 4 4 1.36 23 0.174







107 A 11 7 1.26 26 0.269







108 A 5 7 1.02 26 0.269







109 A 15 10 1.32 26 0.385







110 A 5 7 1.02 26 0.269







111 A 6 4 1. 19 0.21







112 A 5 3 1. 21 0.143







113 A 4 4 1. 21 0.19







114 A 3 3 1. 21 0.143







115 A 2 2 1. 19 0.105







116 A 1 1 1. 18 0.056







117 A 6 4 1. 21 0.19







118 A 2 2 1. 21 0.095







119 A 8 6 1. 21 0.286







120 A 6 4 1. 26 0.154







121 A 5 4 1. 26 0.154







122 A 2 1 1. 24 0.042







123 A 3 3 1. 23 0.13







124 A 8 6 1. 26 0.231







125 A 3 3 1. 26 0.115







126 A 8 6 1. 26 0.231







127 A 3 2 1. 26 0.077







128 A 7 5 1. 26 0.192







129 A 8 6 1. 26 0.231







130 A 3 2 1. 24 0.083







131 A 6 5 1. 23 0.217







132 A 10 7 1. 26 0.269







133 A 6 5 1. 26 0.192







134 A 11 8 1. 26 0.308







135 A 6 5 1. 26 0.192







136 A 7 5 1. 26 0.192







137 A 12 8 1. 26 0.308







138 A 3 2 1. 24 0.083







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140 A 13 8 1. 26 0.308







141 A 10 8 1. 26 0.308







142 A 13 9 1. 26 0.346







143 A 10 7 1. 26 0.269







144 A 3 3 1. 12 0.25







145 A 6 4 1. 26 0.154







146 A 6 4 1. 26 0.154







147 A 4 4 1. 26 0.154







148 A 4 4 1. 26 0.154







149 A 2 2 1. 24 0.083







150 A 2 2 1. 23 0.087







151 A 7 5 1. 26 0.192







152 A 2 2 1. 26 0.077







153 A 9 7 1. 26 0.269







154 A 4 4 1. 26 0.154







155 A 8 7 1.04 26 0.269







156 A 8 7 1. 26 0.269







157 A 5 5 1.04 26 0.192







158 A 4 4 1. 26 0.154







159 A 2 2 1. 24 0.083







160 A 2 2 1. 23 0.087







161 A 9 7 1. 26 0.269







162 A 7 7 1. 26 0.269







163 A 12 9 1. 26 0.346







164 A 11 8 1. 26 0.308







165 A 12 7 1. 26 0.269







166 A 9 6 1.07 26 0.231







167 A 8 6 1. 26 0.231







168 A 5 4 1.03 26 0.154







169 A 4 3 1. 26 0.115







170 A 3 3 1. 24 0.125







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172 A 12 8 1. 26 0.308







173 A 8 7 1. 26 0.269







174 A 16 11 1. 26 0.423







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176 A 6 4 1. 19 0.21







177 A 5 3 1. 21 0.143







178 A 4 4 1. 21 0.19







179 A 3 3 1. 21 0.143







180 A 2 2 1. 19 0.105







181 A 1 1 1. 18 0.056







182 A 6 4 1. 21 0.19







183 A 2 2 1. 21 0.095







184 A 8 6 1. 21 0.286







185 A 6 7 1. 24 0.292







186 A 5 6 1. 24 0.25







187 A 4 5 1. 22 0.227







188 A 0 0 0. 0 0.







189 A 0 0 0. 0 0.







190 A 0 0 0. 0 0.







191 A 9 6 1. 26 0.231







192 A 6 5 1. 26 0.192







193 A 3 3 1. 26 0.115







194 A 2 2 1. 26 0.077







195 A 4 4 1. 26 0.154







196 A 6 4 1. 26 0.154







197 A 1 1 1. 21 0.048







198 A 11 10 1. 24 0.417







199 A 14 6 1. 24 0.25







200 A 9 10 1. 24 0.417







201 A 7 6 1. 22 0.273







202 A 6 4 1. 21 0.19







203 A 10 10 0.99 24 0.417







204 A 12 9 1. 24 0.375







205 A 10 10 0.99 24 0.417







206 A 16 8 1. 24 0.333







207 A 16 11 1. 26 0.423







208 A 25 7 1. 26 0.269







209 A 14 11 1. 26 0.423







210 A 9 7 1. 24 0.292







211 A 10 5 1. 23 0.217







212 A 17 12 1. 26 0.462







213 A 17 11 1. 26 0.423







214 A 17 12 1. 26 0.462







215 A 24 10 1. 26 0.385







216 A 21 11 1. 26 0.423







217 A 40 9 1. 26 0.346







218 A 19 11 1. 26 0.423







219 A 11 7 1. 24 0.292







220 A 14 5 1. 23 0.217







221 A 26 13 1. 26 0.5







222 A 24 12 1. 26 0.462







223 A 28 15 1. 26 0.577







224 A 31 12 1. 26 0.462







225 A 16 10 1. 26 0.385







226 A 10 10 1. 26 0.385







227 A 11 8 1. 26 0.308







228 A 6 6 1. 24 0.25







229 A 8 5 1. 23 0.217







230 A 9 6 1. 26 0.231







231 A 15 10 1. 26 0.385







232 A 12 9 1. 26 0.346







233 A 24 11 1. 26 0.423







234 A 15 14 1. 26 0.538







235 A 10 9 1. 26 0.346







236 A 11 8 1. 26 0.308







237 A 3 3 1. 24 0.125







238 A 11 8 1. 23 0.348







239 A 12 9 1. 26 0.346







240 A 20 14 1. 26 0.538







241 A 17 15 1. 26 0.577







242 A 32 15 1. 26 0.577







243 A 16 13 1. 26 0.5







244 A 8 6 1. 26 0.231







245 A 15 10 1. 26 0.385







246 A 5 5 1. 24 0.208







247 A 15 9 1. 23 0.391







248 A 17 11 1. 26 0.423







249 A 27 15 1. 26 0.577







250 A 23 19 1. 26 0.731







251 A 43 17 1. 26 0.654







252 A 16 8 1.4 25 0.32







253 A 10 8 1.4 25 0.32







254 A 5 5 1.51 25 0.2







255 A 1 1 1. 25 0.04







256 A 6 6 1.72 25 0.24







257 A 9 9 1.43 25 0.36







258 A 14 8 1. 28 0.286







259 A 10 6 1. 28 0.214







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261 A 5 5 1. 25 0.2







262 A 12 8 1. 28 0.286







263 A 7 7 1. 28 0.25







264 A 13 10 1. 28 0.357







265 A 9 9 1. 28 0.321







266 A 20 14 1. 28 0.5







267 A 17 11 1. 28 0.393







268 A 6 6 1. 26 0.231







269 A 10 8 1. 25 0.32







270 A 17 12 1. 28 0.429







271 A 14 13 1. 28 0.464







272 A 18 15 1. 28 0.536







273 A 16 11 1. 28 0.393







274 A 27 18 1. 28 0.643







275 A 25 14 1. 28 0.5







276 A 6 6 1. 26 0.231







277 A 16 8 1. 25 0.32







278 A 23 16 1. 28 0.571







279 A 23 15 1. 28 0.536







280 A 25 20 1. 28 0.714







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282 A 10 5 1. 23 0.217







283 A 8 7 1. 23 0.304







284 A 5 5 1. 23 0.217







285 A 3 3 1. 21 0.143







286 A 1 1 1. 20 0.05







287 A 8 5 1. 23 0.217







288 A 6 6 1. 23 0.261







289 A 13 10 1. 23 0.435







290 A 14 7 1. 28 0.25







291 A 11 6 1. 28 0.214







292 A 9 7 1. 28 0.25







293 A 6 6 1. 28 0.214







294 A 4 3 1. 26 0.115







295 A 2 2 1. 25 0.08







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298 A 14 11 1. 28 0.393







299 A 9 9 1. 28 0.321







300 A 22 13 1. 28 0.464







301 A 15 13 1. 28 0.464







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303 A 8 8 1. 28 0.286







304 A 7 5 1. 26 0.192







305 A 6 6 1. 25 0.24







306 A 16 11 1. 28 0.393







307 A 14 10 1. 28 0.357







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309 A 24 11 1. 28 0.393







310 A 26 11 1. 28 0.393







311 A 17 10 1. 28 0.357







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313 A 9 9 1. 28 0.321







314 A 9 7 1. 26 0.269







315 A 9 9 1. 25 0.36







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317 A 19 14 1. 28 0.5







318 A 39 18 1. 28 0.643







319 A 32 15 1. 28 0.536







320 A 13 10 1. 21 0.476







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 0 0 0. 0 0.







326 A 0 0 0. 0 0.







327 A 0 0 0. 0 0.







328 A 24 13 1. 19 0.684







329 A 17 11 1. 19 0.579







330 A 10 7 1. 17 0.412







331 A 10 6 1. 19 0.316







332 A 18 10 1. 19 0.526







333 A 28 11 1. 19 0.579







334 A 24 9 1. 21 0.429







335 A 14 8 1. 21 0.381







336 A 6 5 1. 21 0.238







337 A 2 2 1. 21 0.095







338 A 7 7 1. 21 0.333







339 A 11 10 1. 21 0.476







340 A 17 11 1. 21 0.524







341 A 0 0 0. 0 0.







342 A 13 4 1. 23 0.174







343 A 10 6 1. 23 0.261







344 A 6 4 1. 23 0.174







345 A 4 3 1. 21 0.143







346 A 1 1 1. 20 0.05







347 A 10 6 1. 23 0.261







348 A 7 7 1. 23 0.304







349 A 18 10 1. 23 0.435







350 A 7 3 1. 19 0.158







351 A 6 3 1. 19 0.158







352 A 5 3 1. 17 0.176







353 A 0 0 0. 0 0.







354 A 0 0 0. 0 0.







355 A 12 5 1. 27 0.185







356 A 12 5 0.98 27 0.185







357 A 6 5 1. 27 0.185







358 A 9 5 0.97 25 0.2







359 A 6 5 1. 24 0.208







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 15 5 0.98 27 0.185







365 A 12 5 1. 27 0.185







366 A 12 5 0.98 25 0.2







367 A 9 5 1. 24 0.208







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 15 5 0.98 27 0.185







373 A 15 5 1. 27 0.185







374 A 15 5 0.98 25 0.2







375 A 12 5 1. 24 0.208







376 A 0 0 0. 0 0.







377 A 0 0 0. 0 0.







378 A 0 0 0. 0 0.







379 A 0 0 0. 0 0.







380 A 5 3 1. 23 0.13







381 A 5 3 1. 23 0.13







382 A 4 3 1. 23 0.13







383 A 4 3 1. 23 0.13







384 A 2 2 1. 21 0.095







385 A 1 1 1. 20 0.05







386 A 0 0 0. 0 0.







387 A 0 0 0. 0 0.







388 A 12 5 0.98 27 0.185







389 A 9 5 1. 27 0.185







390 A 9 5 0.97 27 0.185







391 A 6 5 1. 27 0.185







392 A 4 4 0.93 25 0.16







393 A 1 1 1. 24 0.042







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 0 0 0. 0 0.







400 A 0 0 0. 0 0.







401 A 0 0 0. 0 0.







402 A 0 0 0. 0 0.







403 A 0 0 0. 0 0.







404 A 0 0 0. 0 0.







405 A 0 0 0. 0 0.







406 A 8 4 1. 19 0.21







407 A 7 4 1. 19 0.21







408 A 6 4 1. 17 0.235







409 A 0 0 0. 0 0.







410 A 0 0 0. 0 0.







411 A 22 6 0.98 27 0.222







412 A 16 7 1. 27 0.259







413 A 14 7 1.33 25 0.28







414 A 7 7 1. 24 0.292







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 28 6 0.99 27 0.222







420 A 19 6 1. 27 0.222







421 A 22 8 0.98 25 0.32







422 A 10 6 1. 24 0.25







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 34 6 0.99 27 0.222







428 A 28 6 1. 27 0.222







429 A 28 8 0.99 25 0.32







430 A 13 6 1. 24 0.25







431 A 0 0 0. 0 0.







432 A 0 0 0. 0 0.







433 A 0 0 0. 0 0.







434 A 0 0 0. 0 0.







435 A 13 6 0.98 27 0.222







436 A 10 6 1. 27 0.222







437 A 10 6 0.97 27 0.222







438 A 7 7 1. 27 0.259







439 A 5 5 1. 25 0.2







440 A 1 1 1. 24 0.042







441 A 0 0 0. 0 0.







442 A 0 0 0. 0 0.







443 A 0 0 0. 0 0.







444 A 0 0 0. 0 0.







445 A 0 0 0. 0 0.







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450 A 0 0 0. 0 0.







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452 A 0 0 0. 0 0.







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456 A 0 0 0. 0 0.







457 A 0 0 0. 0 0.







458 A 0 0 0. 0 0.







459 A 0 0 0. 0 0.







460 A 0 0 0. 0 0.







461 A 1 1 1. 20 0.05







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463 A 32 7 1. 26 0.269







464 A 17 9 1. 24 0.375







465 A 14 7 1. 23 0.304







466 A 0 0 0. 0 0.







467 A 32 7 1. 28 0.25







468 A 42 7 1. 28 0.25







469 A 32 9 1. 26 0.346







470 A 19 7 1. 25 0.28







471 A 0 0 0. 0 0.







472 A 24 11 1. 23 0.478







473 A 10 9 1. 23 0.391







474 A 2 2 1. 23 0.087







475 A 0 0 0. 0 0.







476 A 0 0 0. 0 0.







477 A 26 12 1. 23 0.522







478 A 11 9 1. 23 0.391







479 A 2 2 1. 23 0.087







480 A 0 0 0. 0 0.







481 A 39 14 1. 23 0.609







482 A 13 11 1. 23 0.478







483 A 2 2 1. 23 0.087







484 A 0 0 0. 0 0.







485 A 24 11 1. 22 0.5







486 A 10 9 1. 22 0.409







487 A 2 2 1. 22 0.091







488 A 0 0 0. 0 0.







489 A 0 0 0. 0 0.







490 A 26 12 1. 22 0.546







491 A 11 9 1. 22 0.409







492 A 2 2 1. 22 0.091







493 A 0 0 0. 0 0.







494 A 6 5 1. 17 0.294







495 A 19 7 1. 23 0.304







496 A 14 7 1. 23 0.304







497 A 9 7 1. 23 0.304







498 A 2 2 1. 23 0.087







499 A 0 0 0. 0 0.







500 A 0 0 0. 0 0.







501 A 19 7 1. 23 0.304







502 A 14 7 1. 23 0.304







503 A 9 8 1. 23 0.348







504 A 2 2 1. 23 0.087







505 A 0 0 0. 0 0.







506 A 0 0 0. 0 0.







507 A 18 10 1. 23 0.435







508 A 7 6 1. 23 0.261







509 A 2 2 1. 23 0.087







510 A 0 0 0. 0 0.







511 A 0 0 0. 0 0.







512 A 7 5 1. 28 0.179







513 A 10 5 1. 26 0.192







514 A 7 5 1. 25 0.2







515 A 0 0 0. 0 0.







516 A 0 0 0. 0 0.







517 A 13 5 1. 28 0.179







518 A 13 5 1. 26 0.192







519 A 10 5 1. 25 0.2







520 A 0 0 0. 0 0.







521 A 0 0 0. 0 0.







522 A 16 5 1. 28 0.179







523 A 16 5 1. 26 0.192







524 A 13 5 1. 25 0.2







525 A 0 0 0. 0 0.







526 A 0 0 0. 0 0.







527 A 0 0 0. 0 0.







528 A 9 4 1. 23 0.174







529 A 6 4 1. 23 0.174







530 A 4 3 1. 21 0.143







531 A 1 1 1. 20 0.05







532 A 0 0 0. 0 0.







533 A 0 0 0. 0 0.







534 A 13 8 1. 35 0.229







535 A 8 6 1. 35 0.171







536 A 4 4 1. 35 0.114







537 A 6 5 1. 35 0.143







538 A 8 8 1. 35 0.229







539 A 6 6 1. 35 0.171







540 A 12 9 1. 35 0.257







541 A 7 6 1. 35 0.171







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543 A 9 7 1. 35 0.2







544 A 10 10 1. 35 0.286







545 A 9 9 1. 35 0.257







546 A 9 7 1. 35 0.2







547 A 12 9 1. 35 0.257







548 A 13 8 1. 35 0.229







549 A 13 7 1. 35 0.2







550 A 7 9 1. 35 0.257







551 A 10 8 1. 35 0.229







552 A 13 7 1. 35 0.2







553 A 9 7 1. 35 0.2







554 A 6 5 1. 35 0.143







555 A 2 2 1. 35 0.057







556 A 5 6 1. 35 0.171







557 A 8 8 1. 35 0.229







558 A 7 9 1. 35 0.257







559 A 10 10 1. 35 0.286







560 A 8 8 1. 35 0.229







561 A 5 6 1. 35 0.171







562 A 3 3 1. 35 0.086







563 A 8 8 1. 35 0.229







564 A 10 8 1. 35 0.229







565 A 9 9 1. 35 0.257







566 A 6 6 1. 35 0.171







567 A 8 8 1. 35 0.229







568 A 8 8 1. 35 0.229







569 A 5 5 1. 35 0.143







570 A 23 13 1. 37 0.351







571 A 13 11 1. 37 0.297







572 A 6 6 1. 37 0.162







573 A 8 6 1. 37 0.162







574 A 19 13 1. 37 0.351







575 A 20 12 1. 37 0.324







576 A 19 15 1. 37 0.405







577 A 11 9 1. 37 0.243







578 A 13 11 1. 37 0.297







579 A 11 9 1. 37 0.243







580 A 23 15 1. 37 0.405







581 A 21 13 1. 37 0.351







582 A 17 9 1. 37 0.243







583 A 19 15 1. 37 0.405







584 A 23 13 1. 37 0.351







585 A 17 10 1. 37 0.27







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587 A 25 16 1. 37 0.432







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590 A 8 6 1. 37 0.162







591 A 2 2 1. 37 0.054







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593 A 30 18 1. 37 0.486







594 A 28 19 1. 37 0.514







595 A 23 15 1. 37 0.405







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597 A 16 11 1. 37 0.297







598 A 7 7 1. 37 0.189







599 A 21 14 1. 37 0.378







600 A 25 16 1. 37 0.432







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604 A 21 14 1. 37 0.378







605 A 10 10 1. 37 0.27







606 A 5 5 1. 18 0.278







607 A 5 5 1. 18 0.278







608 A 5 5 1. 18 0.278







609 A 4 3 1. 16 0.188







610 A 3 2 1. 8 0.25







611 A 18 6 1. 18 0.333







612 A 26 9 1. 18 0.5







613 A 26 7 1. 20 0.35







614 A 17 7 1. 20 0.35







615 A 10 7 1. 18 0.389







616 A 3 3 1. 10 0.3







617 A 22 7 1. 20 0.35







618 A 42 7 0.98 20 0.35







619 A 27 7 0.98 20 0.35







620 A 15 7 0.98 18 0.389







621 A 4 4 1. 10 0.4







622 A 0 0 0. 0 0.







623 A 0 0 0. 0 0.







624 A 26 7 0.98 20 0.35







625 A 15 7 0.97 18 0.389







626 A 5 5 0.95 10 0.5







627 A 0 0 0. 0 0.







628 A 0 0 0. 0 0.







629 A 42 9 1. 22 0.409







630 A 23 9 1. 20 0.45







631 A 7 6 1. 12 0.5







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633 A 0 0 0. 0 0.







634 A 32 12 1. 20 0.6







635 A 8 7 1. 12 0.583







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637 A 0 0 0. 0 0.







638 A 39 8 1. 22 0.364







639 A 21 8 1. 20 0.4







640 A 6 5 1. 12 0.417







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643 A 21 8 1. 20 0.4







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