Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 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, 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 }

B grade: { 615 }

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, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 48, 50, 51, 52, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 114, 115, 116, 117, 118, 119, 120, 121, 123, 127, 128, 129, 130, 131, 132, 133, 134, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 149, 150, 152, 156, 157, 158, 159, 160, 161, 162, 169, 170, 171, 172, 173, 174, 175, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 196, 198, 200, 202, 276, 277, 278, 279, 285, 286, 287, 288, 294, 295, 296, 297, 301, 302, 303, 304, 308, 309, 310, 311, 312, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344, 345, 346, 347, 350, 351, 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, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 403, 404, 406, 407, 408, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 447, 448, 449, 450, 451, 452, 453, 454, 455, 458, 459, 460, 461, 462, 463, 464, 465, 466, 468, 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, 522, 523, 524, 525, 526, 527, 528, 529, 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, 616, 623, 624, 625, 626, 627, 628, 630, 631, 632, 633, 634, 635, 636, 647, 648, 649, 650 }

B grade: { 18, 32, 45, 53, 55, 68, 88, 122, 135, 151, 348, 349, 389, 402, 405, 415, 431, 432, 433, 444, 445, 446, 456, 457, 467, 469, 470, 619, 620, 621 }

C grade: { 34, 47, 49, 79, 108, 109, 110, 111, 112, 113, 124, 125, 126, 137, 138, 148, 153, 154, 155, 163, 164, 165, 166, 167, 168, 176, 177, 178, 179, 180, 181, 192, 193, 194, 195, 197, 199, 201, 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 330, 338, 352, 353, 519, 520, 521, 530, 531, 532, 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, 617, 618 }

F grade: { 622, 629, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 651, 652, 653}

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, 22, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 44, 45, 46, 52, 54, 56, 57, 58, 59, 61, 63, 65, 67, 68, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 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, 204, 205, 206, 207, 208, 209, 210, 214, 215, 216, 217, 218, 219, 220, 224, 225, 226, 227, 228, 233, 234, 235, 236, 237, 238, 243, 244, 245, 246, 247, 253, 254, 255, 256, 257, 263, 264, 265, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 316, 317, 318, 319, 320, 346, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 406, 407, 408, 409, 410, 411, 412, 415, 416, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 434, 437, 438, 439, 440, 441, 442, 443, 446, 447, 449, 450, 451, 452, 453, 454, 455, 461, 462, 463, 464, 465, 466, 473, 474, 475, 476, 477, 483, 484, 485, 494, 495, 496, 506, 507, 508, 509, 510, 516, 517, 518, 519, 520, 527, 528, 529, 530, 531, 539, 541, 542, 543, 544, 545, 551, 552, 559, 560, 568, 569, 633 }

B grade: { 21, 23, 28, 30, 35, 36, 37, 39, 40, 41, 42, 43, 47, 48, 49, 50, 51, 53, 55, 60, 62, 64, 66, 75, 77, 81, 90, 203, 211, 212, 213, 221, 222, 223, 229, 230, 231, 232, 239, 240, 241, 242, 248, 249, 250, 251, 252, 258, 259, 260, 261, 262, 266, 267, 268, 269, 270, 271, 272, 292, 293, 314, 315, 391, 405, 413, 414, 417, 418, 424, 431, 432, 433, 435, 436, 444, 445, 448, 456, 457, 458, 459, 460, 467, 468, 469, 470, 471, 472, 478, 479, 480, 481, 482, 486, 487, 488, 489, 490, 491, 492, 493, 497, 498, 499, 500, 501, 502, 503, 504, 505, 511, 512, 513, 514, 515, 521, 522, 523, 524, 525, 526, 532, 533, 534, 535, 536, 537, 538, 540, 546, 547, 548, 549, 550, 553, 554, 555, 556, 557, 558, 561, 562, 563, 564, 565, 566, 567, 570, 571, 572, 573, 615 }

C grade: { 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 }

F grade: { 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, 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, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 52, 54, 56, 57, 59, 61, 63, 65, 67, 68, 69, 70, 72, 74, 78, 80, 82, 83, 85, 87, 91, 95, 96, 98, 100, 101, 103, 105, 107, 114, 116, 118, 120, 127, 129, 131, 139, 141, 143, 145, 160, 162, 169, 171, 173, 175, 183, 185, 187, 189, 191, 363, 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, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443, 449, 450, 451, 452, 453, 461, 462, 464, 473, 474, 475, 483, 484, 485, 494, 495, 496, 506, 507, 508, 516, 517, 518, 527, 528, 529

B grade: { 30, 36, 41, 43, 51, 53, 55, 58, 60, 62, 64, 66, 71, 73, 75, 76, 77, 79, 81, 84, 86, 88, 89, 90, 92, 93, 94, 97, 99, 122, 133, 135, 147, 149, 151, 156, 158, 276, 277, 278, 279, 285, 286, 287, 288, 294, 295, 296, 297, 301, 302, 303, 304, 308, 309, 310, 311, 312, 316, 317, 318, 319, 320, 367, 368, 369, 413, 414, 454, 455, 463, 465, 466 }

C grade: { }

F grade: { 102, 104, 106, 108, 109, 110, 111, 112, 113, 115, 117, 119, 121, 123, 124, 125, 126, 128, 130, 132, 134, 136, 137, 138, 140, 142, 144, 146, 148, 150, 152, 153, 154, 155, 157, 159, 161, 163, 164, 165, 166, 167, 168, 170, 172, 174, 176, 177, 178, 179, 180, 181, 182, 184, 186, 188, 190, 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 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, 364, 365, 366, 370, 371, 372, 373, 374, 375, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 456, 457, 458, 459, 460, 467, 468, 469, 470, 471, 472, 476, 477, 478, 479, 480, 481, 482, 486, 487, 488, 489, 490, 491, 492, 493, 497, 498, 499, 500, 501, 502, 503, 504, 505, 509, 510, 511, 512, 513, 514, 515, 519, 520, 521, 522, 523, 524, 525, 526, 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 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 40, 42, 44, 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, 77, 78, 79, 80, 82, 84, 85, 86, 87, 91, 94, 97, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 130, 132, 133, 134, 135, 136, 138, 139, 140, 142, 144, 146, 147, 148, 149, 150, 152, 154, 155, 156, 157, 158, 160, 162, 163, 165, 166, 167, 168, 169, 171, 173, 175, 176, 178, 179, 180, 181, 183, 185, 187, 189, 192, 193, 194, 195, 276, 277, 278, 279, 285, 286, 287, 288, 295, 296, 297, 301, 302, 303, 304, 309, 310, 311, 312, 318, 319, 320, 343, 344, 345, 346, 360, 361, 362, 363, 368, 369, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 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, 444, 445, 446, 447, 448, 449, 450, 451, 456, 458, 461, 473, 474, 475, 483, 484, 494, 506, 507, 508, 516, 517, 518, 527, 528, 632, 633 }

B grade: { 18, 23, 32, 36, 39, 41, 43, 45, 76, 81, 83, 88, 89, 90, 92, 93, 95, 96, 98, 109, 124, 129, 131, 137, 141, 143, 145, 151, 153, 159, 161, 164, 170, 172, 174, 177, 182, 184, 186, 188, 190, 191, 294, 308, 316, 317, 367, 389, 402, 413, 414, 415, 442, 443, 452, 453, 454, 455, 457, 459, 460, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 476, 477, 485, 487, 495, 496, 497, 498, 499, 529, 530, 630, 631 }

C grade: { }

F grade: { 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, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 298, 299, 300, 305, 306, 307, 313, 314, 315, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 364, 365, 366, 370, 371, 372, 373, 374, 375, 478, 479, 480, 481, 482, 486, 488, 489, 490, 491, 492, 493, 500, 501, 502, 503, 504, 505, 509, 510, 511, 512, 513, 514, 515, 519, 520, 521, 522, 523, 524, 525, 526, 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, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 13, 14, 15, 16, 17, 18, 27, 28, 29, 30, 31, 32, 41, 42, 43, 44, 45, 52, 53, 54, 55, 56, 66, 67, 68, 69, 80, 81, 82, 89, 91, 93, 95, 107, 118, 120, 162, 175, 189, 191, 346, 376, 377, 378, 382, 383, 387, 388, 389, 393, 394, 395, 400, 401, 402, 406, 407, 413, 414, 415, 419, 427, 439, 440, 451, 452, 461, 462, 463, 464, 475, 484, 485, 508, 518, 528, 529, 633 }

B grade: { }

C grade: { }

F grade: { 8, 9, 10, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 33, 34, 35, 36, 37, 38, 39, 40, 46, 47, 48, 49, 50, 51, 57, 58, 59, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 88, 90, 92, 94, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 119, 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, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 190, 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, 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, 379, 380, 381, 384, 385, 386, 390, 391, 392, 396, 397, 398, 399, 403, 404, 405, 408, 409, 410, 411, 412, 416, 417, 418, 420, 421, 422, 423, 424, 425, 426, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 453, 454, 455, 456, 457, 458, 459, 460, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 476, 477, 478, 479, 480, 481, 482, 483, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 509, 510, 511, 512, 513, 514, 515, 516, 517, 519, 520, 521, 522, 523, 524, 525, 526, 527, 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, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 29, 31, 32, 34, 36, 38, 39, 40, 42, 44, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 105, 107, 156, 158, 160, 162, 163, 165, 167, 169, 171, 173, 175, 176, 178, 180, 183, 185, 187, 189, 191, 192, 194, 346, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 415, 416, 417, 418, 419, 421, 422, 423, 425, 426, 427, 428, 429, 430, 432, 433, 434, 437, 438, 439, 440, 441, 442, 443, 445, 446, 449, 450, 451, 452, 453, 454, 455, 458, 461, 462, 463, 464, 473, 474, 475, 506, 507, 508, 509, 510, 516, 517, 518, 519, 520, 527, 528, 529, 530, 531, 633 }

B grade: { 8, 19, 26, 28, 30, 33, 35, 37, 41, 43, 48, 50, 60, 76, 78, 90, 91, 108, 109, 121, 132, 146, 157, 159, 161, 164, 166, 168, 170, 172, 174, 182, 184, 186, 188, 190, 343, 344, 345, 386, 399, 411, 412, 413, 414, 420, 424, 431, 435, 436, 444, 447, 448, 456, 457, 459, 460, 465, 466, 467, 468, 469, 470, 471, 472, 511, 521, 532, 630, 631, 632 }

C grade: { }

F grade: { 102, 104, 106, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 155, 177, 179, 181, 193, 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, 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, 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, 512, 513, 514, 515, 522, 523, 524, 525, 526, 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, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653 }

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 87 87 74 56 124 161 105 159
normalized size 1 1. 0.85 0.64 1.43 1.85 1.21 1.83
time (sec) N/A 0.056 0.046 0.029 0.949 1.714 12.651 1.184


















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 87 87 57 62 85 167 172 144
normalized size 1 1. 0.66 0.71 0.98 1.92 1.98 1.66
time (sec) N/A 0.061 0.16 0.026 0.973 1.733 8.813 1.184


















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 64 64 60 46 95 128 83 119
normalized size 1 1. 0.94 0.72 1.48 2. 1.3 1.86
time (sec) N/A 0.044 0.023 0.025 0.953 1.624 4.317 1.188


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 62 52 65 132 124 104
normalized size 1 1. 0.95 0.8 1. 2.03 1.91 1.6
time (sec) N/A 0.045 0.082 0.024 0.95 1.644 2.343 1.19


















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 45 45 44 36 65 97 82 65
normalized size 1 1. 0.98 0.8 1.44 2.16 1.82 1.44
time (sec) N/A 0.037 0.017 0.025 0.943 1.64 1.205 1.113


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 41 50 96 71 63
normalized size 1 1. 1.07 0.95 1.16 2.23 1.65 1.47
time (sec) N/A 0.033 0.048 0.025 0.959 1.658 0.686 1.116


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 28 39 25 27 62 34 34
normalized size 1 1.27 1.77 1.14 1.23 2.82 1.55 1.55
time (sec) N/A 0.016 0.013 0.009 0.941 1.611 0.22 1.12


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 26 16 20 39 0 50
normalized size 1 1. 1.53 0.94 1.18 2.29 0. 2.94
time (sec) N/A 0.02 0.014 0.029 0.945 1.712 0. 1.206


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 24 31 104 0 26
normalized size 1 1. 1. 1.04 1.35 4.52 0. 1.13
time (sec) N/A 0.032 0.013 0.069 0.946 1.605 0. 1.144


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 52 54 57 166 0 73
normalized size 1 1. 1.33 1.38 1.46 4.26 0. 1.87
time (sec) N/A 0.042 0.018 0.082 0.946 1.773 0. 1.209


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 41 38 47 131 0 89
normalized size 1 1. 0.93 0.86 1.07 2.98 0. 2.02
time (sec) N/A 0.036 0.06 0.084 0.953 1.624 0. 1.173


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 68 74 116 350 0 124
normalized size 1 1. 0.81 0.88 1.38 4.17 0. 1.48
time (sec) N/A 0.064 0.081 0.085 0.958 1.953 0. 1.242


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 171 129 155 216 398 166
normalized size 1 1. 1.36 1.02 1.23 1.71 3.16 1.32
time (sec) N/A 0.107 1.558 0.037 0.965 1.806 14.668 1.152


















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 67 67 58 99 128 176 202 158
normalized size 1 1. 0.87 1.48 1.91 2.63 3.01 2.36
time (sec) N/A 0.061 0.08 0.039 0.951 1.76 8.321 1.141


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 151 109 120 181 287 143
normalized size 1 1. 1.48 1.07 1.18 1.77 2.81 1.4
time (sec) N/A 0.093 0.562 0.036 0.958 1.68 5.303 1.159


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 46 79 76 136 129 76
normalized size 1 1. 1.02 1.76 1.69 3.02 2.87 1.69
time (sec) N/A 0.046 0.082 0.036 0.947 1.678 2.528 1.14


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 131 87 88 144 180 97
normalized size 1 1. 1.68 1.12 1.13 1.85 2.31 1.24
time (sec) N/A 0.089 0.303 0.036 0.943 1.675 1.373 1.131


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 47 21 27 101 53 27
normalized size 1 1. 2.14 0.95 1.23 4.59 2.41 1.23
time (sec) N/A 0.024 0.021 0.013 0.932 1.736 0.614 1.191


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 29 53 41 73 0 123
normalized size 1 1. 0.85 1.56 1.21 2.15 0. 3.62
time (sec) N/A 0.042 0.019 0.042 0.94 1.648 0. 1.187


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 75 47 63 167 0 45
normalized size 1 1. 1.97 1.24 1.66 4.39 0. 1.18
time (sec) N/A 0.082 0.056 0.046 1.416 1.64 0. 1.15


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 32 75 24 36 0 41
normalized size 1 1. 1.6 3.75 1.2 1.8 0. 2.05
time (sec) N/A 0.038 0.138 0.062 0.933 1.541 0. 1.178


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 58 63 70 235 0 73
normalized size 1 1. 0.92 1. 1.11 3.73 0. 1.16
time (sec) N/A 0.069 0.009 0.065 0.953 1.677 0. 1.208


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 56 144 96 306 0 104
normalized size 1 1. 0.88 2.25 1.5 4.78 0. 1.62
time (sec) N/A 0.066 0.067 0.067 0.953 1.71 0. 1.216


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 82 93 104 207 0 143
normalized size 1 1. 1.28 1.45 1.62 3.23 0. 2.23
time (sec) N/A 0.056 0.011 0.103 0.976 1.534 0. 1.174


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 85 190 146 505 0 161
normalized size 1 1. 0.78 1.74 1.34 4.63 0. 1.48
time (sec) N/A 0.089 0.143 0.108 0.971 1.649 0. 1.2


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 110 121 132 278 0 231
normalized size 1 1. 1.34 1.48 1.61 3.39 0. 2.82
time (sec) N/A 0.059 0.023 0.112 0.975 1.688 0. 1.189


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 181 163 190 258 439 212
normalized size 1 1. 1.18 1.06 1.23 1.68 2.85 1.38
time (sec) N/A 0.154 1.995 0.043 0.982 1.87 24.358 1.187


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 58 133 146 207 270 181
normalized size 1 1. 0.87 1.99 2.18 3.09 4.03 2.7
time (sec) N/A 0.066 0.096 0.042 0.95 1.809 13.793 1.204


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 161 143 155 212 335 166
normalized size 1 1. 1.24 1.1 1.19 1.63 2.58 1.28
time (sec) N/A 0.14 0.793 0.042 0.967 1.762 8.628 1.166


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 113 111 171 172 111
normalized size 1 1. 0.96 2.51 2.47 3.8 3.82 2.47
time (sec) N/A 0.047 0.145 0.042 0.948 1.727 4.839 1.165


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 141 121 123 181 226 120
normalized size 1 1. 1.33 1.14 1.16 1.71 2.13 1.13
time (sec) N/A 0.124 0.424 0.039 0.962 1.764 2.696 1.143


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 65 21 27 131 94 27
normalized size 1 1. 2.95 0.95 1.23 5.95 4.27 1.23
time (sec) N/A 0.025 0.028 0.015 0.946 1.689 1.325 1.15


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 41 69 58 108 0 173
normalized size 1 1. 0.79 1.33 1.12 2.08 0. 3.33
time (sec) N/A 0.047 0.029 0.047 0.966 1.655 0. 1.161


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 55 87 92 230 0 123
normalized size 1 1. 1.1 1.74 1.84 4.6 0. 2.46
time (sec) N/A 0.136 0.033 0.05 1.449 1.627 0. 1.167


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 59 128 45 109 0 124
normalized size 1 1. 1.48 3.2 1.12 2.72 0. 3.1
time (sec) N/A 0.052 0.041 0.069 0.951 1.693 0. 1.201


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 28 120 105 236 0 51
normalized size 1 1. 0.9 3.87 3.39 7.61 0. 1.65
time (sec) N/A 0.085 0.025 0.07 0.967 1.602 0. 1.161


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 35 146 38 73 0 85
normalized size 1 1. 1.52 6.35 1.65 3.17 0. 3.7
time (sec) N/A 0.04 0.234 0.074 0.969 1.612 0. 1.195


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 110 171 139 367 0 116
normalized size 1 1. 1.2 1.86 1.51 3.99 0. 1.26
time (sec) N/A 0.093 0.02 0.075 0.972 1.604 0. 1.158


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 67 238 130 446 0 122
normalized size 1 1. 0.77 2.74 1.49 5.13 0. 1.4
time (sec) N/A 0.072 0.101 0.08 0.958 1.707 0. 1.244


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 134 217 165 274 0 186
normalized size 1 1. 1.35 2.19 1.67 2.77 0. 1.88
time (sec) N/A 0.083 0.011 0.082 0.956 1.65 0. 1.153


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 58 513 234 400 558 296
normalized size 1 1. 0.87 7.66 3.49 5.97 8.33 4.42
time (sec) N/A 0.084 0.422 0.053 0.947 2.041 120.691 1.283


















Problem 42 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 286 286 211 535 458 450 1280 281
normalized size 1 1. 0.74 1.87 1.6 1.57 4.48 0.98
time (sec) N/A 0.403 3.16 0.051 0.996 2.079 86.414 1.268


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 463 181 352 445 181
normalized size 1 1. 0.96 10.29 4.02 7.82 9.89 4.02
time (sec) N/A 0.047 1.043 0.052 0.949 1.952 56.598 1.205


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 191 480 431 390 1018 235
normalized size 1 1. 0.73 1.83 1.65 1.49 3.89 0.9
time (sec) N/A 0.374 1.514 0.05 0.988 1.906 40.576 1.244


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 147 21 27 304 148 27
normalized size 1 1. 6.68 0.95 1.23 13.82 6.73 1.23
time (sec) N/A 0.024 0.089 0.02 0.937 1.849 19.877 1.205


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 95 149 147 302 0 389
normalized size 1 1. 0.59 0.92 0.91 1.86 0. 2.4
time (sec) N/A 0.077 0.177 0.076 0.95 1.839 0. 1.279


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 55 389 447 632 0 312
normalized size 1 1. 0.27 1.94 2.22 3.14 0. 1.55
time (sec) N/A 0.342 0.057 0.066 1.458 1.875 0. 1.211


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 111 345 131 328 0 371
normalized size 1 1. 0.92 2.85 1.08 2.71 0. 3.07
time (sec) N/A 0.094 0.259 0.112 0.959 1.88 0. 1.266


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 59 478 420 639 0 270
normalized size 1 1. 0.33 2.67 2.35 3.57 0. 1.51
time (sec) N/A 0.319 0.053 0.11 1.466 1.72 0. 1.235


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 73 503 128 344 0 328
normalized size 1 1. 0.66 4.57 1.16 3.13 0. 2.98
time (sec) N/A 0.091 0.445 0.116 0.96 1.831 0. 1.239


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 141 245 348 126 0 154
normalized size 1 1. 1.93 3.36 4.77 1.73 0. 2.11
time (sec) N/A 0.068 0.784 0.06 1.444 1.603 0. 1.163


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 46 45 63 93 779 63
normalized size 1 1. 0.98 0.96 1.34 1.98 16.57 1.34
time (sec) N/A 0.056 0.093 0.05 0.931 1.672 126.403 1.146


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 119 141 211 92 697 101
normalized size 1 1. 2.43 2.88 4.31 1.88 14.22 2.06
time (sec) N/A 0.055 0.328 0.048 1.429 1.522 20.811 1.167


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 24 28 34 61 158 34
normalized size 1 1. 0.75 0.88 1.06 1.91 4.94 1.06
time (sec) N/A 0.046 0.038 0.015 0.938 1.65 7.862 1.156


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 97 43 70 38 119 46
normalized size 1 1. 5.11 2.26 3.68 2. 6.26 2.42
time (sec) N/A 0.043 0.125 0. 1.406 1.625 3.609 1.303


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 19 24 39 24 26
normalized size 1 1. 1. 1.19 1.5 2.44 1.5 1.62
time (sec) N/A 0.026 0.011 0.012 0.932 1.693 0.545 1.336


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 30 54 63 163 0 78
normalized size 1 1. 0.81 1.46 1.7 4.41 0. 2.11
time (sec) N/A 0.051 0.039 0. 0.938 1.636 0. 1.569


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 45 70 174 131 0 90
normalized size 1 1. 1.07 1.67 4.14 3.12 0. 2.14
time (sec) N/A 0.052 0.055 0. 0.948 1.641 0. 1.133


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 75 90 123 336 0 130
normalized size 1 1. 0.97 1.17 1.6 4.36 0. 1.69
time (sec) N/A 0.076 0.094 0. 0.942 1.753 0. 1.187


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 66 130 397 194 0 161
normalized size 1 1. 1.06 2.1 6.4 3.13 0. 2.6
time (sec) N/A 0.059 0.097 0.059 0.967 1.644 0. 1.142


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 97 126 176 400 0 157
normalized size 1 1. 0.81 1.05 1.47 3.33 0. 1.31
time (sec) N/A 0.107 0.149 0.059 0.948 1.679 0. 1.181


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 151 415 531 161 0 242
normalized size 1 1. 1.45 3.99 5.11 1.55 0. 2.33
time (sec) N/A 0.112 1.12 0.082 1.466 2.002 0. 1.142


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 46 45 63 122 0 63
normalized size 1 1. 0.98 0.96 1.34 2.6 0. 1.34
time (sec) N/A 0.052 0.16 0.068 0.938 1.933 0. 1.146


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 131 279 360 130 0 171
normalized size 1 1. 1.64 3.49 4.5 1.62 0. 2.14
time (sec) N/A 0.1 0.721 0.067 1.434 1.848 0. 1.122


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 34 19 47 92 0 47
normalized size 1 1. 1.48 0.83 2.04 4. 0. 2.04
time (sec) N/A 0.043 0.056 0.062 0.94 1.901 0. 1.131


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 109 142 189 89 461 99
normalized size 1 1. 1.95 2.54 3.38 1.59 8.23 1.77
time (sec) N/A 0.085 0.171 0.072 1.435 1.986 169.455 1.125


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 26 33 41 68 180 73
normalized size 1 1. 0.81 1.03 1.28 2.12 5.62 2.28
time (sec) N/A 0.049 0.033 0.065 0.924 1.919 1.57 1.16


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 104 41 76 151 143 45
normalized size 1 1. 3.06 1.21 2.24 4.44 4.21 1.32
time (sec) N/A 0.043 0.18 0.076 1.439 1.802 8.428 1.126


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 31 21 27 45 32 27
normalized size 1 1. 1.48 1. 1.29 2.14 1.52 1.29
time (sec) N/A 0.026 0.07 0.015 0.961 1.851 0.991 1.151


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 38 72 97 279 0 96
normalized size 1 1. 0.63 1.2 1.62 4.65 0. 1.6
time (sec) N/A 0.058 0.092 0.071 0.964 2.08 0. 1.188


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 53 98 275 200 0 126
normalized size 1 1. 0.75 1.38 3.87 2.82 0. 1.77
time (sec) N/A 0.093 0.076 0.069 0.989 1.921 0. 1.157


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 85 108 146 466 0 143
normalized size 1 1. 0.82 1.04 1.4 4.48 0. 1.38
time (sec) N/A 0.082 0.12 0.087 1.144 2.204 0. 1.195


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 78 158 535 261 0 196
normalized size 1 1. 0.84 1.7 5.75 2.81 0. 2.11
time (sec) N/A 0.098 0.063 0.095 1.002 2.005 0. 1.151


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 137 144 225 527 0 170
normalized size 1 1. 0.94 0.99 1.54 3.61 0. 1.16
time (sec) N/A 0.11 0.338 0.086 0.977 2.184 0. 1.186


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 141 313 419 163 0 189
normalized size 1 1. 1.37 3.04 4.07 1.58 0. 1.83
time (sec) N/A 0.109 1.094 0.083 1.479 1.982 0. 1.164


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 44 19 61 119 0 61
normalized size 1 1. 1.91 0.83 2.65 5.17 0. 2.65
time (sec) N/A 0.043 0.158 0.069 0.97 1.908 0. 1.173


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 121 177 248 122 0 119
normalized size 1 1. 1.57 2.3 3.22 1.58 0. 1.55
time (sec) N/A 0.1 0.486 0.084 1.45 1.983 0. 1.156


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 38 49 55 100 0 155
normalized size 1 1. 0.76 0.98 1.1 2. 0. 3.1
time (sec) N/A 0.05 0.05 0.069 0.942 2.011 0. 1.168


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 59 64 188 203 0 108
normalized size 1 1. 1.2 1.31 3.84 4.14 0. 2.2
time (sec) N/A 0.085 0.038 0.084 1.436 1.953 0. 1.182


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 58 37 50 105 450 47
normalized size 1 1. 1.49 0.95 1.28 2.69 11.54 1.21
time (sec) N/A 0.051 0.063 0.072 0.947 1.808 1.868 1.175


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 28 55 134 238 298 49
normalized size 1 1. 1.04 2.04 4.96 8.81 11.04 1.81
time (sec) N/A 0.039 0.017 0.089 0.975 1.765 29.251 1.15


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 33 21 27 82 51 27
normalized size 1 1. 1.5 0.95 1.23 3.73 2.32 1.23
time (sec) N/A 0.025 0.057 0.014 0.944 1.831 1.669 1.193


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 61 90 132 409 0 109
normalized size 1 1. 0.74 1.1 1.61 4.99 0. 1.33
time (sec) N/A 0.063 0.083 0.082 0.962 2.094 0. 1.202


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 63 130 419 270 0 161
normalized size 1 1. 0.64 1.31 4.23 2.73 0. 1.63
time (sec) N/A 0.135 0.098 0.081 0.987 1.908 0. 1.166


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 95 126 197 595 0 157
normalized size 1 1. 0.75 1. 1.56 4.72 0. 1.25
time (sec) N/A 0.095 0.168 0.102 0.959 1.832 0. 1.198


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 85 190 651 331 0 231
normalized size 1 1. 0.69 1.54 5.29 2.69 0. 1.88
time (sec) N/A 0.145 0.114 0.109 1.028 1.71 0. 1.184


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 145 162 254 659 0 184
normalized size 1 1. 0.85 0.95 1.49 3.85 0. 1.08
time (sec) N/A 0.128 0.517 0.112 0.962 1.915 0. 1.194


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 275 146 398 655 0 134
normalized size 1 1. 2.17 1.15 3.13 5.16 0. 1.06
time (sec) N/A 0.182 6.072 0.125 1.516 1.718 0. 1.207


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 28 55 100 194 2032 92
normalized size 1 1. 0.78 1.53 2.78 5.39 56.44 2.56
time (sec) N/A 0.046 0.103 0.105 0.956 1.653 54.313 1.186


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 36 145 506 614 0 169
normalized size 1 1. 0.62 2.5 8.72 10.59 0. 2.91
time (sec) N/A 0.08 0.083 0.131 1.023 1.546 0. 1.203


















Problem 91 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 65 65 58 43 126 247 1658 185
normalized size 1 1. 0.89 0.66 1.94 3.8 25.51 2.85
time (sec) N/A 0.059 0.124 0.115 0.954 1.687 53.215 1.167


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 58 175 622 760 0 204
normalized size 1 1. 0.49 1.48 5.27 6.44 0. 1.73
time (sec) N/A 0.168 0.082 0.141 1.037 1.621 0. 1.19


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 33 130 261 2020 38
normalized size 1 1. 0.96 0.73 2.89 5.8 44.89 0.84
time (sec) N/A 0.053 0.165 0.122 0.957 1.76 53.88 1.16


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 78 205 738 896 0 239
normalized size 1 1. 0.43 1.12 4.03 4.9 0. 1.31
time (sec) N/A 0.272 0.122 0.148 1.066 1.727 0. 1.181


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 33 21 27 263 128 27
normalized size 1 1. 1.5 0.95 1.23 11.95 5.82 1.23
time (sec) N/A 0.025 0.228 0.02 0.965 1.725 52.717 1.154


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 122 180 288 1052 0 177
normalized size 1 1. 0.63 0.93 1.48 5.42 0. 0.91
time (sec) N/A 0.112 0.773 0.122 0.969 1.963 0. 1.185


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 113 280 999 624 0 336
normalized size 1 1. 0.46 1.14 4.08 2.55 0. 1.37
time (sec) N/A 0.404 0.342 0.098 1.15 1.87 0. 1.219


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 175 216 335 1241 0 224
normalized size 1 1. 0.74 0.91 1.41 5.21 0. 0.94
time (sec) N/A 0.171 1.769 0.135 0.98 2.167 0. 1.237


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 125 340 1169 695 0 406
normalized size 1 1. 0.45 1.22 4.19 2.49 0. 1.46
time (sec) N/A 0.419 0.419 0.144 1.171 2.013 0. 1.194


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 195 252 412 1332 0 251
normalized size 1 1. 0.69 0.89 1.45 4.69 0. 0.88
time (sec) N/A 0.216 2.614 0.144 0.989 2.264 0. 1.235


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 74 57 97 254 0 104
normalized size 1 1. 0.76 0.59 1. 2.62 0. 1.07
time (sec) N/A 0.083 4.238 0.091 0.948 1.748 0. 2.169


















Problem 102 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 127 127 99 75 0 494 0 0
normalized size 1 1. 0.78 0.59 0. 3.89 0. 0.
time (sec) N/A 0.258 3.909 0.122 0. 1.685 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 64 41 74 189 0 81
normalized size 1 1. 0.88 0.56 1.01 2.59 0. 1.11
time (sec) N/A 0.073 0.999 0.086 0.966 1.72 0. 1.741


















Problem 104 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 95 95 89 65 0 367 0 0
normalized size 1 1. 0.94 0.68 0. 3.86 0. 0.
time (sec) N/A 0.179 0.76 0.109 0. 1.684 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 54 31 51 124 0 58
normalized size 1 1. 1.1 0.63 1.04 2.53 0. 1.18
time (sec) N/A 0.065 0.239 0.086 0.961 1.591 0. 2.022


















Problem 106 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 63 63 79 55 0 246 0 0
normalized size 1 1. 1.25 0.87 0. 3.9 0. 0.
time (sec) N/A 0.111 0.169 0.102 0. 1.693 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 44 21 27 69 58 27
normalized size 1 1. 1.83 0.88 1.12 2.88 2.42 1.12
time (sec) N/A 0.033 0.081 0.008 0.958 1.582 0.484 1.521


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 95 32 0 258 0 167
normalized size 1 1. 2.38 0.8 0. 6.45 0. 4.18
time (sec) N/A 0.06 0.102 0.052 0. 1.725 0. 1.366


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 106 83 0 431 0 394
normalized size 1 1. 1.47 1.15 0. 5.99 0. 5.47
time (sec) N/A 0.079 0.222 0.113 0. 1.755 0. 1.418


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 271 90 0 274 0 0
normalized size 1 1. 2.85 0.95 0. 2.88 0. 0.
time (sec) N/A 0.123 0.349 0.145 0. 1.719 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 302 153 0 517 0 0
normalized size 1 1. 2.2 1.12 0. 3.77 0. 0.
time (sec) N/A 0.159 0.401 0.12 0. 1.767 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 179 118 0 338 0 0
normalized size 1 1. 1.2 0.79 0. 2.27 0. 0.
time (sec) N/A 0.203 0.463 0.211 0. 1.862 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 191 244 0 583 0 0
normalized size 1 1. 0.97 1.24 0. 2.96 0. 0.
time (sec) N/A 0.294 0.621 0.152 0. 1.895 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 61 57 97 313 0 0
normalized size 1 1. 0.63 0.59 1. 3.23 0. 0.
time (sec) N/A 0.086 0.389 0.096 0.969 1.83 0. 0.


















Problem 115 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 159 159 79 87 0 622 0 0
normalized size 1 1. 0.5 0.55 0. 3.91 0. 0.
time (sec) N/A 0.302 0.624 0.112 0. 1.793 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 41 74 242 0 0
normalized size 1 1. 0.7 0.56 1.01 3.32 0. 0.
time (sec) N/A 0.076 0.159 0.082 0.965 1.703 0. 0.


















Problem 117 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 127 127 69 77 0 471 0 0
normalized size 1 1. 0.54 0.61 0. 3.71 0. 0.
time (sec) N/A 0.235 0.154 0.113 0. 1.687 0. 0.


















Problem 118 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 41 31 51 171 252 0
normalized size 1 1. 0.84 0.63 1.04 3.49 5.14 0.
time (sec) N/A 0.068 0.084 0.079 0.948 1.675 131.176 0.


















Problem 119 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 95 95 59 67 0 336 0 0
normalized size 1 1. 0.62 0.71 0. 3.54 0. 0.
time (sec) N/A 0.167 0.14 0.113 0. 1.625 0. 0.


















Problem 120 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 24 24 24 21 27 104 90 0
normalized size 1 1. 1. 0.88 1.12 4.33 3.75 0.
time (sec) N/A 0.034 0.041 0.009 0.942 1.575 26.235 0.


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 60 49 0 196 0 910
normalized size 1 1. 0.97 0.79 0. 3.16 0. 14.68
time (sec) N/A 0.068 0.101 0.075 0. 1.697 0. 8.416


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 67 37 132 63 0 0
normalized size 1 1. 2.58 1.42 5.08 2.42 0. 0.
time (sec) N/A 0.058 0.158 0.083 1.632 1.611 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 72 70 0 266 0 0
normalized size 1 1. 0.99 0.96 0. 3.64 0. 0.
time (sec) N/A 0.112 0.25 0.102 0. 1.697 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 130 107 0 585 0 0
normalized size 1 1. 1.21 1. 0. 5.47 0. 0.
time (sec) N/A 0.135 0.382 0.135 0. 1.762 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 44 101 0 417 0 0
normalized size 1 1. 0.35 0.8 0. 3.28 0. 0.
time (sec) N/A 0.181 0.071 0.188 0. 1.768 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 288 172 0 667 0 0
normalized size 1 1. 1.7 1.02 0. 3.95 0. 0.
time (sec) N/A 0.221 0.421 0.132 0. 1.957 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 41 74 296 0 0
normalized size 1 1. 0.7 0.56 1.01 4.05 0. 0.
time (sec) N/A 0.074 0.202 0.082 0.955 1.685 0. 0.


















Problem 128 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 159 159 79 87 0 595 0 0
normalized size 1 1. 0.5 0.55 0. 3.74 0. 0.
time (sec) N/A 0.293 0.309 0.112 0. 1.689 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 41 31 51 217 0 0
normalized size 1 1. 0.84 0.63 1.04 4.43 0. 0.
time (sec) N/A 0.067 0.123 0.082 0.953 1.777 0. 0.


















Problem 130 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 127 127 69 77 0 433 0 0
normalized size 1 1. 0.54 0.61 0. 3.41 0. 0.
time (sec) N/A 0.224 0.265 0.106 0. 1.641 0. 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 146 0 0
normalized size 1 1. 1. 0.88 1.12 6.08 0. 0.
time (sec) N/A 0.034 0.057 0.007 0.943 1.609 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 73 66 0 235 0 1515
normalized size 1 1. 0.85 0.77 0. 2.73 0. 17.62
time (sec) N/A 0.075 0.18 0.086 0. 1.728 0. 18.874


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 36 45 258 99 0 0
normalized size 1 1. 0.65 0.82 4.69 1.8 0. 0.
time (sec) N/A 0.117 4.059 0.089 1.645 1.606 0. 0.


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 75 66 0 263 0 0
normalized size 1 1. 1.09 0.96 0. 3.81 0. 0.
time (sec) N/A 0.11 0.368 0.107 0. 1.751 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 69 47 248 111 0 0
normalized size 1 1. 2.3 1.57 8.27 3.7 0. 0.
time (sec) N/A 0.059 5.149 0.082 1.65 1.625 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 110 107 0 387 0 0
normalized size 1 1. 1.07 1.04 0. 3.76 0. 0.
time (sec) N/A 0.172 0.278 0.164 0. 1.747 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 129 120 0 709 0 0
normalized size 1 1. 0.93 0.86 0. 5.1 0. 0.
time (sec) N/A 0.197 5.296 0.126 0. 1.803 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 44 113 0 549 0 0
normalized size 1 1. 0.28 0.71 0. 3.45 0. 0.
time (sec) N/A 0.242 0.092 0.234 0. 1.757 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 64 57 97 410 0 0
normalized size 1 1. 0.66 0.59 1. 4.23 0. 0.
time (sec) N/A 0.079 0.602 0.131 0.945 1.903 0. 0.


















Problem 140 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 223 223 102 107 0 859 0 0
normalized size 1 1. 0.46 0.48 0. 3.85 0. 0.
time (sec) N/A 0.43 0.549 0.119 0. 1.763 0. 0.


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 54 41 74 335 0 0
normalized size 1 1. 0.74 0.56 1.01 4.59 0. 0.
time (sec) N/A 0.075 0.27 0.09 0.955 1.67 0. 0.


















Problem 142 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 191 191 92 97 0 683 0 0
normalized size 1 1. 0.48 0.51 0. 3.58 0. 0.
time (sec) N/A 0.365 0.233 0.116 0. 1.69 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 31 51 250 0 0
normalized size 1 1. 0.9 0.63 1.04 5.1 0. 0.
time (sec) N/A 0.066 0.133 0.082 0.957 1.654 0. 0.


















Problem 144 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 159 159 82 87 0 522 0 0
normalized size 1 1. 0.52 0.55 0. 3.28 0. 0.
time (sec) N/A 0.292 0.204 0.11 0. 1.655 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 176 0 0
normalized size 1 1. 1. 0.88 1.12 7.33 0. 0.
time (sec) N/A 0.033 0.081 0.007 0.95 1.636 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 85 83 0 274 0 3368
normalized size 1 1. 0.77 0.75 0. 2.49 0. 30.62
time (sec) N/A 0.085 0.316 0.096 0. 1.67 0. 42.406


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 48 55 320 134 0 0
normalized size 1 1. 0.54 0.62 3.6 1.51 0. 0.
time (sec) N/A 0.174 5.477 0.101 1.672 1.668 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 42 83 0 297 0 0
normalized size 1 1. 0.46 0.91 0. 3.26 0. 0.
time (sec) N/A 0.127 0.089 0.158 0. 1.685 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 82 57 432 142 0 0
normalized size 1 1. 1.34 0.93 7.08 2.33 0. 0.
time (sec) N/A 0.113 5.295 0.102 2.475 1.624 0. 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 108 75 0 382 0 0
normalized size 1 1. 1.02 0.71 0. 3.6 0. 0.
time (sec) N/A 0.171 0.291 0.145 0. 1.777 0. 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 69 47 365 142 0 0
normalized size 1 1. 2.3 1.57 12.17 4.73 0. 0.
time (sec) N/A 0.057 5.272 0.106 1.67 1.629 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 120 144 0 501 0 0
normalized size 1 1. 0.89 1.07 0. 3.71 0. 0.
time (sec) N/A 0.232 0.541 0.218 0. 1.801 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 139 139 0 828 0 0
normalized size 1 1. 0.81 0.81 0. 4.84 0. 0.
time (sec) N/A 0.268 5.496 0.143 0. 2.212 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 44 129 0 663 0 0
normalized size 1 1. 0.23 0.68 0. 3.47 0. 0.
time (sec) N/A 0.312 0.101 0.26 0. 2.245 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 388 205 0 917 0 0
normalized size 1 1. 1.67 0.88 0. 3.94 0. 0.
time (sec) N/A 0.354 5.662 0.147 0. 2.402 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 61 57 379 228 0 97
normalized size 1 1. 0.63 0.59 3.91 2.35 0. 1.
time (sec) N/A 0.076 0.289 0.089 0.97 1.916 0. 1.306


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 59 64 0 432 0 497
normalized size 1 1. 0.62 0.67 0. 4.55 0. 5.23
time (sec) N/A 0.17 0.246 0.125 0. 1.895 0. 2.194


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 41 216 165 0 74
normalized size 1 1. 0.7 0.56 2.96 2.26 0. 1.01
time (sec) N/A 0.067 0.136 0.079 0.954 1.842 0. 1.23


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 49 54 0 306 0 346
normalized size 1 1. 0.78 0.86 0. 4.86 0. 5.49
time (sec) N/A 0.111 0.06 0.111 0. 1.92 0. 1.984


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 34 31 101 104 0 51
normalized size 1 1. 0.69 0.63 2.06 2.12 0. 1.04
time (sec) N/A 0.063 0.064 0.088 0.954 1.862 0. 1.155


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 44 0 194 0 193
normalized size 1 1. 1. 1.47 0. 6.47 0. 6.43
time (sec) N/A 0.051 0.065 0.089 0. 1.822 0. 1.828


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 46 32 27
normalized size 1 1. 1. 0.95 1.23 2.09 1.45 1.23
time (sec) N/A 0.03 0.025 0.008 0.946 1.78 0.84 1.136


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 39 54 0 252 0 80
normalized size 1 1. 0.65 0.9 0. 4.2 0. 1.33
time (sec) N/A 0.062 0.049 0.102 0. 2.166 0. 1.133


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 118 130 0 549 0 566
normalized size 1 1. 1.16 1.27 0. 5.38 0. 5.55
time (sec) N/A 0.093 0.265 0.131 0. 2.326 0. 2.258


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 42 107 0 396 0 143
normalized size 1 1. 0.36 0.92 0. 3.41 0. 1.23
time (sec) N/A 0.133 0.065 0.185 0. 2.278 0. 1.109


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 117 231 0 624 0 1006
normalized size 1 1. 0.72 1.43 0. 3.85 0. 6.21
time (sec) N/A 0.218 0.585 0.181 0. 2.438 0. 2.611


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 44 135 0 462 0 194
normalized size 1 1. 0.25 0.77 0. 2.64 0. 1.11
time (sec) N/A 0.263 0.08 0.244 0. 2.568 0. 1.112


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 140 308 0 695 0 1438
normalized size 1 1. 0.63 1.39 0. 3.14 0. 6.51
time (sec) N/A 0.357 0.662 0.184 0. 2.729 0. 4.421


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 54 57 97 204 0 97
normalized size 1 1. 0.56 0.59 1. 2.1 0. 1.
time (sec) N/A 0.082 0.226 0.089 0.974 2.293 0. 1.256


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 49 57 0 375 0 421
normalized size 1 1. 0.78 0.9 0. 5.95 0. 6.68
time (sec) N/A 0.116 0.184 0.178 0. 2.126 0. 2.154


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 44 41 74 142 0 74
normalized size 1 1. 0.6 0.56 1.01 1.95 0. 1.01
time (sec) N/A 0.075 0.096 0.078 0.963 2.249 0. 1.203


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 42 47 0 257 0 269
normalized size 1 1. 1.4 1.57 0. 8.57 0. 8.97
time (sec) N/A 0.058 0.054 0.105 0. 2.204 0. 2.012


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 32 29 49 78 0 49
normalized size 1 1. 0.68 0.62 1.04 1.66 0. 1.04
time (sec) N/A 0.067 0.05 0.08 0.965 2.202 0. 1.156


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 84 94 0 536 0 257
normalized size 1 1. 1.11 1.24 0. 7.05 0. 3.38
time (sec) N/A 0.081 0.146 0.134 0. 2.261 0. 1.905


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 78 46 27
normalized size 1 1. 1. 0.95 1.23 3.55 2.09 1.23
time (sec) N/A 0.034 0.03 0.004 0.949 2.232 2.864 1.134


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 41 71 0 355 0 103
normalized size 1 1. 0.46 0.8 0. 3.99 0. 1.16
time (sec) N/A 0.077 0.068 0.085 0. 2.349 0. 1.12


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 224 202 0 652 0 0
normalized size 1 1. 1.67 1.51 0. 4.87 0. 0.
time (sec) N/A 0.162 0.264 0.148 0. 2.331 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 42 124 0 502 0 178
normalized size 1 1. 0.28 0.83 0. 3.35 0. 1.19
time (sec) N/A 0.202 0.068 0.166 0. 2.505 0. 1.141


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 334 289 0 729 0 0
normalized size 1 1. 1.71 1.48 0. 3.74 0. 0.
time (sec) N/A 0.291 0.325 0.184 0. 2.489 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 44 152 0 572 0 225
normalized size 1 1. 0.21 0.72 0. 2.71 0. 1.07
time (sec) N/A 0.343 0.091 0.234 0. 2.572 0. 1.14


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 444 367 0 805 0 0
normalized size 1 1. 1.73 1.43 0. 3.14 0. 0.
time (sec) N/A 0.429 1.406 0.178 0. 2.893 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 59 67 0 568 0 648
normalized size 1 1. 0.62 0.71 0. 5.98 0. 6.82
time (sec) N/A 0.195 0.663 0.16 0. 2.274 0. 2.475


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 64 67 120 247 0 120
normalized size 1 1. 0.53 0.55 0.99 2.04 0. 0.99
time (sec) N/A 0.09 0.29 0.102 0.942 2.302 0. 1.313


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 49 57 0 431 0 497
normalized size 1 1. 0.78 0.9 0. 6.84 0. 7.89
time (sec) N/A 0.119 0.335 0.12 0. 2.23 0. 2.327


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 54 57 97 176 0 97
normalized size 1 1. 0.56 0.59 1. 1.81 0. 1.
time (sec) N/A 0.083 0.175 0.161 0.937 2.269 0. 1.247


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 42 47 0 309 0 344
normalized size 1 1. 1.4 1.57 0. 10.3 0. 11.47
time (sec) N/A 0.057 0.111 0.104 0. 2.151 0. 2.169


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 44 41 74 111 0 74
normalized size 1 1. 0.62 0.58 1.04 1.56 0. 1.04
time (sec) N/A 0.075 0.071 0.081 0.952 2.159 0. 1.204


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 96 112 0 593 0 344
normalized size 1 1. 0.89 1.04 0. 5.49 0. 3.19
time (sec) N/A 0.144 0.179 0.15 0. 2.354 0. 2.07


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 30 29 57 104 267 49
normalized size 1 1. 0.67 0.64 1.27 2.31 5.93 1.09
time (sec) N/A 0.068 0.054 0.087 0.943 2.133 30.471 1.169


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 100 123 0 666 0 396
normalized size 1 1. 1.33 1.64 0. 8.88 0. 5.28
time (sec) N/A 0.082 0.229 0.119 0. 2.31 0. 2.188


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 116 65 27
normalized size 1 1. 1. 0.88 1.12 4.83 2.71 1.12
time (sec) N/A 0.035 0.04 0.006 0.935 2.148 30.179 1.118


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 41 88 0 452 0 130
normalized size 1 1. 0.36 0.78 0. 4. 0. 1.15
time (sec) N/A 0.089 0.084 0.097 0. 2.475 0. 1.126


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 284 266 0 755 0 0
normalized size 1 1. 1.7 1.59 0. 4.52 0. 0.
time (sec) N/A 0.23 0.396 0.187 0. 2.449 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 42 141 0 601 0 201
normalized size 1 1. 0.23 0.76 0. 3.25 0. 1.09
time (sec) N/A 0.275 0.09 0.194 0. 2.531 0. 1.143


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 394 355 0 833 0 0
normalized size 1 1. 1.69 1.52 0. 3.58 0. 0.
time (sec) N/A 0.364 0.516 0.192 0. 2.615 0. 0.


















Problem 196 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 124 124 98 249 0 0 0 0
normalized size 1 1. 0.79 2.01 0. 0. 0. 0.
time (sec) N/A 0.084 0.584 0.454 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 264 214 0 0 0 0
normalized size 1 1. 2.78 2.25 0. 0. 0. 0.
time (sec) N/A 0.067 2.609 0.411 0. 0. 0. 0.


















Problem 198 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 95 95 75 179 0 0 0 0
normalized size 1 1. 0.79 1.88 0. 0. 0. 0.
time (sec) N/A 0.065 0.364 0.352 0. 0. 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 260 120 0 0 0 0
normalized size 1 1. 4.13 1.9 0. 0. 0. 0.
time (sec) N/A 0.046 0.958 0.303 0. 0. 0. 0.


















Problem 200 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 61 61 48 103 0 0 0 0
normalized size 1 1. 0.79 1.69 0. 0. 0. 0.
time (sec) N/A 0.046 20.95 0.22 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 188 117 0 0 0 0
normalized size 1 1. 2.07 1.29 0. 0. 0. 0.
time (sec) N/A 0.068 0.915 0.488 0. 0. 0. 0.


















Problem 202 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 97 97 86 189 0 0 0 0
normalized size 1 1. 0.89 1.95 0. 0. 0. 0.
time (sec) N/A 0.065 0.429 0.609 0. 0. 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 144 304 0 0 0 0
normalized size 1 1. 1.14 2.41 0. 0. 0. 0.
time (sec) N/A 0.086 1.223 0.962 0. 0. 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 66 295 0 0 0 0
normalized size 1 1. 0.39 1.76 0. 0. 0. 0.
time (sec) N/A 0.144 0.102 0.452 0. 0. 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 66 260 0 0 0 0
normalized size 1 1. 0.48 1.9 0. 0. 0. 0.
time (sec) N/A 0.122 0.113 0.433 0. 0. 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 66 203 0 0 0 0
normalized size 1 1. 0.48 1.48 0. 0. 0. 0.
time (sec) N/A 0.125 0.074 0.46 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 66 188 0 0 0 0
normalized size 1 1. 0.63 1.79 0. 0. 0. 0.
time (sec) N/A 0.092 0.044 0.388 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 64 152 0 0 0 0
normalized size 1 1. 0.61 1.45 0. 0. 0. 0.
time (sec) N/A 0.095 0.033 0.328 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 64 120 0 0 0 0
normalized size 1 1. 0.75 1.41 0. 0. 0. 0.
time (sec) N/A 0.132 0.062 0.483 0. 0. 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 66 193 0 0 0 0
normalized size 1 1. 0.74 2.17 0. 0. 0. 0.
time (sec) N/A 0.129 0.06 0.619 0. 0. 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 66 305 0 0 0 0
normalized size 1 1. 0.52 2.4 0. 0. 0. 0.
time (sec) N/A 0.181 0.077 1.003 0. 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 66 375 0 0 0 0
normalized size 1 1. 0.58 3.29 0. 0. 0. 0.
time (sec) N/A 0.091 0.113 1.218 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 66 488 0 0 0 0
normalized size 1 1. 0.46 3.37 0. 0. 0. 0.
time (sec) N/A 0.112 0.161 1.622 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 66 321 0 0 0 0
normalized size 1 1. 0.33 1.58 0. 0. 0. 0.
time (sec) N/A 0.211 0.074 0.595 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 66 264 0 0 0 0
normalized size 1 1. 0.39 1.55 0. 0. 0. 0.
time (sec) N/A 0.189 0.114 0.494 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 66 251 0 0 0 0
normalized size 1 1. 0.38 1.46 0. 0. 0. 0.
time (sec) N/A 0.188 0.073 0.449 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 66 214 0 0 0 0
normalized size 1 1. 0.47 1.53 0. 0. 0. 0.
time (sec) N/A 0.147 0.044 0.452 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 64 178 0 0 0 0
normalized size 1 1. 0.47 1.31 0. 0. 0. 0.
time (sec) N/A 0.147 0.031 0.447 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 64 146 0 0 0 0
normalized size 1 1. 0.6 1.38 0. 0. 0. 0.
time (sec) N/A 0.198 0.054 0.667 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 66 219 0 0 0 0
normalized size 1 1. 0.6 1.99 0. 0. 0. 0.
time (sec) N/A 0.202 0.053 0.744 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 66 332 0 0 0 0
normalized size 1 1. 0.52 2.61 0. 0. 0. 0.
time (sec) N/A 0.202 0.09 1.153 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 66 401 0 0 0 0
normalized size 1 1. 0.52 3.16 0. 0. 0. 0.
time (sec) N/A 0.198 0.083 1.273 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 66 514 0 0 0 0
normalized size 1 1. 0.4 3.12 0. 0. 0. 0.
time (sec) N/A 0.243 0.139 1.977 0. 0. 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 66 295 0 0 0 0
normalized size 1 1. 0.31 1.4 0. 0. 0. 0.
time (sec) N/A 0.248 0.103 0.504 0. 0. 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 66 258 0 0 0 0
normalized size 1 1. 0.37 1.45 0. 0. 0. 0.
time (sec) N/A 0.201 0.067 0.519 0. 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 64 222 0 0 0 0
normalized size 1 1. 0.36 1.25 0. 0. 0. 0.
time (sec) N/A 0.213 0.06 0.615 0. 0. 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 64 190 0 0 0 0
normalized size 1 1. 0.41 1.22 0. 0. 0. 0.
time (sec) N/A 0.234 0.084 0.767 0. 0. 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 66 263 0 0 0 0
normalized size 1 1. 0.43 1.73 0. 0. 0. 0.
time (sec) N/A 0.224 0.075 0.776 0. 0. 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 66 332 0 0 0 0
normalized size 1 1. 0.52 2.61 0. 0. 0. 0.
time (sec) N/A 0.199 0.099 1.299 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 66 401 0 0 0 0
normalized size 1 1. 0.52 3.16 0. 0. 0. 0.
time (sec) N/A 0.198 0.118 1.585 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 66 514 0 0 0 0
normalized size 1 1. 0.39 3.04 0. 0. 0. 0.
time (sec) N/A 0.25 0.147 2.043 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 66 583 0 0 0 0
normalized size 1 1. 0.39 3.45 0. 0. 0. 0.
time (sec) N/A 0.259 0.211 2.272 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 66 251 0 0 0 0
normalized size 1 1. 0.5 1.9 0. 0. 0. 0.
time (sec) N/A 0.117 0.168 0.563 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 66 216 0 0 0 0
normalized size 1 1. 0.65 2.14 0. 0. 0. 0.
time (sec) N/A 0.095 0.092 0.598 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 66 181 0 0 0 0
normalized size 1 1. 0.65 1.79 0. 0. 0. 0.
time (sec) N/A 0.095 0.079 0.516 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 66 122 0 0 0 0
normalized size 1 1. 0.97 1.79 0. 0. 0. 0.
time (sec) N/A 0.075 0.099 0.591 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 66 110 0 0 0 0
normalized size 1 1. 1. 1.67 0. 0. 0. 0.
time (sec) N/A 0.076 0.075 0.345 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 66 115 0 0 0 0
normalized size 1 1. 0.89 1.55 0. 0. 0. 0.
time (sec) N/A 0.068 0.042 0.831 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 64 190 0 0 0 0
normalized size 1 1. 0.82 2.44 0. 0. 0. 0.
time (sec) N/A 0.072 0.04 0.914 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 63 304 0 0 0 0
normalized size 1 1. 0.56 2.71 0. 0. 0. 0.
time (sec) N/A 0.097 0.056 1.286 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 66 375 0 0 0 0
normalized size 1 1. 0.59 3.35 0. 0. 0. 0.
time (sec) N/A 0.094 0.061 1.511 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 66 488 0 0 0 0
normalized size 1 1. 0.46 3.41 0. 0. 0. 0.
time (sec) N/A 0.114 0.083 2.212 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 66 203 0 0 0 0
normalized size 1 1. 0.46 1.4 0. 0. 0. 0.
time (sec) N/A 0.11 0.189 0.56 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 66 190 0 0 0 0
normalized size 1 1. 0.58 1.67 0. 0. 0. 0.
time (sec) N/A 0.092 0.09 0.658 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 66 155 0 0 0 0
normalized size 1 1. 0.59 1.38 0. 0. 0. 0.
time (sec) N/A 0.097 0.077 0.434 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 66 120 0 0 0 0
normalized size 1 1. 0.84 1.52 0. 0. 0. 0.
time (sec) N/A 0.078 0.094 0.717 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 66 193 0 0 0 0
normalized size 1 1. 0.8 2.33 0. 0. 0. 0.
time (sec) N/A 0.075 0.077 1.057 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 66 303 0 0 0 0
normalized size 1 1. 0.57 2.61 0. 0. 0. 0.
time (sec) N/A 0.119 0.042 1.456 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 64 372 0 0 0 0
normalized size 1 1. 0.55 3.21 0. 0. 0. 0.
time (sec) N/A 0.127 0.045 1.764 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 Yes TBD TBD TBD TBD TBD
size 150 150 66 488 0 0 0 0
normalized size 1 1. 0.44 3.25 0. 0. 0. 0.
time (sec) N/A 0.157 0.068 2.269 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 66 557 0 0 0 0
normalized size 1 1. 0.44 3.71 0. 0. 0. 0.
time (sec) N/A 0.162 0.073 2.612 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 66 670 0 0 0 0
normalized size 1 1. 0.36 3.7 0. 0. 0. 0.
time (sec) N/A 0.183 0.106 3.316 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 66 251 0 0 0 0
normalized size 1 1. 0.39 1.49 0. 0. 0. 0.
time (sec) N/A 0.179 0.37 0.658 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 66 216 0 0 0 0
normalized size 1 1. 0.48 1.57 0. 0. 0. 0.
time (sec) N/A 0.152 0.229 0.662 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 66 181 0 0 0 0
normalized size 1 1. 0.5 1.37 0. 0. 0. 0.
time (sec) N/A 0.151 0.178 0.763 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 66 146 0 0 0 0
normalized size 1 1. 0.64 1.42 0. 0. 0. 0.
time (sec) N/A 0.155 0.098 0.987 0. 0. 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 66 219 0 0 0 0
normalized size 1 1. 0.62 2.05 0. 0. 0. 0.
time (sec) N/A 0.136 0.08 1.101 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 66 330 0 0 0 0
normalized size 1 1. 0.56 2.8 0. 0. 0. 0.
time (sec) N/A 0.131 0.084 1.941 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 66 401 0 0 0 0
normalized size 1 1. 0.56 3.4 0. 0. 0. 0.
time (sec) N/A 0.134 0.066 1.905 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 66 512 0 0 0 0
normalized size 1 1. 0.43 3.35 0. 0. 0. 0.
time (sec) N/A 0.173 0.043 2.585 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 66 580 0 0 0 0
normalized size 1 1. 0.43 3.79 0. 0. 0. 0.
time (sec) N/A 0.184 0.049 3.264 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 66 696 0 0 0 0
normalized size 1 1. 0.35 3.72 0. 0. 0. 0.
time (sec) N/A 0.225 0.062 4.014 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 66 225 0 0 0 0
normalized size 1 1. 0.37 1.25 0. 0. 0. 0.
time (sec) N/A 0.175 0.38 0.931 0. 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 66 190 0 0 0 0
normalized size 1 1. 0.44 1.28 0. 0. 0. 0.
time (sec) N/A 0.153 0.22 1.056 0. 0. 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 66 263 0 0 0 0
normalized size 1 1. 0.46 1.81 0. 0. 0. 0.
time (sec) N/A 0.152 0.172 1.204 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 66 332 0 0 0 0
normalized size 1 1. 0.55 2.77 0. 0. 0. 0.
time (sec) N/A 0.134 0.091 2.181 0. 0. 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 66 401 0 0 0 0
normalized size 1 1. 0.55 3.34 0. 0. 0. 0.
time (sec) N/A 0.134 0.078 2.124 0. 0. 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 66 514 0 0 0 0
normalized size 1 1. 0.43 3.34 0. 0. 0. 0.
time (sec) N/A 0.182 0.088 2.808 0. 0. 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 66 583 0 0 0 0
normalized size 1 1. 0.43 3.79 0. 0. 0. 0.
time (sec) N/A 0.185 0.074 3.526 0. 0. 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 66 694 0 0 0 0
normalized size 1 1. 0.35 3.63 0. 0. 0. 0.
time (sec) N/A 0.228 0.046 3.932 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 66 762 0 0 0 0
normalized size 1 1. 0.35 3.99 0. 0. 0. 0.
time (sec) N/A 0.242 0.058 4.301 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 66 878 0 0 0 0
normalized size 1 1. 0.29 3.9 0. 0. 0. 0.
time (sec) N/A 0.299 0.088 5.447 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 269 241 0 0 0 0
normalized size 1 1. 1.14 1.02 0. 0. 0. 0.
time (sec) N/A 0.357 0.921 0.236 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 195 213 0 0 0 0
normalized size 1 1. 1.01 1.1 0. 0. 0. 0.
time (sec) N/A 0.27 0.856 0.155 0. 0. 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 108 142 0 0 0 0
normalized size 1 1. 0.67 0.88 0. 0. 0. 0.
time (sec) N/A 0.209 0.463 0.109 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 34 177 95 0 0
normalized size 1 1. 1. 1. 5.21 2.79 0. 0.
time (sec) N/A 0.068 0.117 0.123 1.553 2.562 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 46 44 278 128 0 0
normalized size 1 1. 0.62 0.59 3.76 1.73 0. 0.
time (sec) N/A 0.146 0.233 0.119 1.583 2.576 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 56 54 381 155 0 0
normalized size 1 1. 0.49 0.47 3.31 1.35 0. 0.
time (sec) N/A 0.224 0.328 0.124 1.598 2.432 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 74 70 482 188 0 0
normalized size 1 1. 0.48 0.45 3.13 1.22 0. 0.
time (sec) N/A 0.307 0.758 0.138 1.622 2.166 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 78 314 0 0 0 0
normalized size 1 1. 0.24 0.98 0. 0. 0. 0.
time (sec) N/A 0.564 0.167 0.201 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 78 288 0 0 0 0
normalized size 1 1. 0.28 1.04 0. 0. 0. 0.
time (sec) N/A 0.475 0.132 0.17 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 243 77 262 0 0 0 0
normalized size 1 1. 0.32 1.08 0. 0. 0. 0.
time (sec) N/A 0.358 0.117 0.166 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 75 228 0 0 0 0
normalized size 1 1. 0.38 1.15 0. 0. 0. 0.
time (sec) N/A 0.284 0.105 0.145 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 75 323 0 0 0 0
normalized size 1 1. 0.36 1.54 0. 0. 0. 0.
time (sec) N/A 0.293 0.115 0.12 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 34 177 112 0 0
normalized size 1 1. 1. 0.94 4.92 3.11 0. 0.
time (sec) N/A 0.073 0.107 0.089 1.578 2.786 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 72 44 279 177 0 0
normalized size 1 1. 0.97 0.59 3.77 2.39 0. 0.
time (sec) N/A 0.148 0.129 0.096 1.579 2.542 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 105 54 379 215 0 0
normalized size 1 1. 0.93 0.48 3.35 1.9 0. 0.
time (sec) N/A 0.23 0.196 0.102 1.608 2.297 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 74 70 482 248 0 0
normalized size 1 1. 0.49 0.46 3.17 1.63 0. 0.
time (sec) N/A 0.309 0.248 0.112 1.667 2.38 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 77 344 0 0 0 0
normalized size 1 1. 0.24 1.07 0. 0. 0. 0.
time (sec) N/A 0.543 0.283 0.208 0. 0. 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 78 317 0 0 0 0
normalized size 1 1. 0.27 1.11 0. 0. 0. 0.
time (sec) N/A 0.437 0.122 0.183 0. 0. 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 76 284 0 0 0 0
normalized size 1 1. 0.31 1.15 0. 0. 0. 0.
time (sec) N/A 0.359 0.103 0.169 0. 0. 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 75 445 0 0 0 0
normalized size 1 1. 0.31 1.86 0. 0. 0. 0.
time (sec) N/A 0.364 0.154 0.128 0. 0. 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 77 545 0 0 0 0
normalized size 1 1. 0.38 2.67 0. 0. 0. 0.
time (sec) N/A 0.296 0.189 0.137 0. 0. 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 34 177 265 0 0
normalized size 1 1. 1. 0.94 4.92 7.36 0. 0.
time (sec) N/A 0.075 0.173 0.092 1.59 2.667 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 54 44 279 185 0 0
normalized size 1 1. 0.71 0.58 3.67 2.43 0. 0.
time (sec) N/A 0.148 0.181 0.095 1.589 2.599 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 64 54 381 254 0 0
normalized size 1 1. 0.57 0.48 3.37 2.25 0. 0.
time (sec) N/A 0.223 0.217 0.105 1.596 2.497 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 74 70 482 298 0 0
normalized size 1 1. 0.49 0.47 3.21 1.99 0. 0.
time (sec) N/A 0.305 0.282 0.106 1.656 2.124 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 77 239 0 0 0 0
normalized size 1 1. 0.32 0.98 0. 0. 0. 0.
time (sec) N/A 0.367 0.189 0.149 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 77 212 0 0 0 0
normalized size 1 1. 0.38 1.06 0. 0. 0. 0.
time (sec) N/A 0.279 0.116 0.125 0. 0. 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 77 141 0 0 0 0
normalized size 1 1. 0.46 0.83 0. 0. 0. 0.
time (sec) N/A 0.196 0.083 0.095 0. 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 34 176 107 0 0
normalized size 1 1. 1. 1. 5.18 3.15 0. 0.
time (sec) N/A 0.06 0.064 0.102 1.588 2.435 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 46 44 284 177 0 0
normalized size 1 1. 0.61 0.58 3.74 2.33 0. 0.
time (sec) N/A 0.133 0.103 0.107 1.602 2.622 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 56 54 387 211 0 0
normalized size 1 1. 0.49 0.47 3.37 1.83 0. 0.
time (sec) N/A 0.209 0.099 0.112 1.625 2.264 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 66 70 490 240 0 0
normalized size 1 1. 0.43 0.45 3.18 1.56 0. 0.
time (sec) N/A 0.288 0.178 0.121 1.653 2.06 0. 0.


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 80 266 0 0 0 0
normalized size 1 1. 0.32 1.08 0. 0. 0. 0.
time (sec) N/A 0.372 0.125 0.148 0. 0. 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 80 232 0 0 0 0
normalized size 1 1. 0.37 1.08 0. 0. 0. 0.
time (sec) N/A 0.287 0.184 0.113 0. 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 80 321 0 0 0 0
normalized size 1 1. 0.34 1.36 0. 0. 0. 0.
time (sec) N/A 0.362 0.123 0.101 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 49 34 177 250 0 0
normalized size 1 1. 1.36 0.94 4.92 6.94 0. 0.
time (sec) N/A 0.064 0.072 0.105 1.564 2.877 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 59 44 285 181 0 0
normalized size 1 1. 0.78 0.58 3.75 2.38 0. 0.
time (sec) N/A 0.13 0.11 0.113 1.577 2.811 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 56 54 397 252 0 0
normalized size 1 1. 0.49 0.47 3.45 2.19 0. 0.
time (sec) N/A 0.21 0.104 0.093 1.606 2.825 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 66 70 504 289 0 0
normalized size 1 1. 0.43 0.45 3.27 1.88 0. 0.
time (sec) N/A 0.289 0.172 0.104 1.653 2.85 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 76 80 609 323 0 0
normalized size 1 1. 0.39 0.41 3.16 1.67 0. 0.
time (sec) N/A 0.372 0.269 0.114 1.691 2.667 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 80 282 0 0 0 0
normalized size 1 1. 0.31 1.08 0. 0. 0. 0.
time (sec) N/A 0.469 0.168 0.146 0. 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 80 443 0 0 0 0
normalized size 1 1. 0.33 1.85 0. 0. 0. 0.
time (sec) N/A 0.366 0.115 0.117 0. 0. 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 80 545 0 0 0 0
normalized size 1 1. 0.37 2.5 0. 0. 0. 0.
time (sec) N/A 0.296 0.128 0.115 0. 0. 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 49 34 177 174 0 0
normalized size 1 1. 1.36 0.94 4.92 4.83 0. 0.
time (sec) N/A 0.071 0.107 0.087 1.59 3.423 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 59 44 279 378 0 0
normalized size 1 1. 0.78 0.58 3.67 4.97 0. 0.
time (sec) N/A 0.131 0.102 0.11 1.59 3.311 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 69 54 387 251 0 0
normalized size 1 1. 0.6 0.47 3.37 2.18 0. 0.
time (sec) N/A 0.202 0.142 0.115 1.62 3.103 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 66 70 504 328 0 0
normalized size 1 1. 0.43 0.45 3.27 2.13 0. 0.
time (sec) N/A 0.297 0.138 0.112 1.664 2.891 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 76 80 609 366 0 0
normalized size 1 1. 0.39 0.41 3.16 1.9 0. 0.
time (sec) N/A 0.375 0.331 0.115 1.69 2.988 0. 0.


















Problem 321 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 78 78 77 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.153 0.142 0. 0. 0. 0.


















Problem 322 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 78 78 77 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.108 0.124 0. 0. 0. 0.


















Problem 323 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 78 78 77 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.077 0.113 0. 0. 0. 0.


















Problem 324 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 78 78 77 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.075 0.118 0. 0. 0. 0.


















Problem 325 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 77 77 77 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.077 0.112 0. 0. 0. 0.


















Problem 326 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 75 75 75 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.087 0.11 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.199 8.375 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.08 0.105 3.378 0. 0. 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 94 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.079 0.103 2.616 0. 0. 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 245 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 0.057 1.34 0.907 0. 0. 0. 0.


















Problem 331 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 95 95 94 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.165 0.133 0. 0. 0. 0.


















Problem 332 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 93 93 94 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.16 0.26 0. 0. 0. 0.


















Problem 333 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 93 93 94 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.153 0.32 0. 0. 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 94 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.174 1.833 0. 0. 0. 0.


















Problem 335 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 103 103 102 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.223 0.107 0. 0. 0. 0.


















Problem 336 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 103 103 102 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.186 0.098 0. 0. 0. 0.


















Problem 337 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 103 103 101 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.184 0.098 0. 0. 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 310 0 0 0 0 0
normalized size 1 1. 3.2 0. 0. 0. 0. 0.
time (sec) N/A 0.105 3.714 0.108 0. 0. 0. 0.


















Problem 339 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 101 101 97 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.111 0.091 0. 0. 0. 0.


















Problem 340 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 102 102 101 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.121 0.168 0.09 0. 0. 0. 0.


















Problem 341 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 105 105 102 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.132 0.091 0. 0. 0. 0.


















Problem 342 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 114 114 112 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.19 0.882 0. 0. 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 89 0 0 408 0 698
normalized size 1 1. 0.82 0. 0. 3.74 0. 6.4
time (sec) N/A 0.086 0.698 3.554 0. 3.095 0. 1.103


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 68 0 0 263 0 397
normalized size 1 1. 0.84 0. 0. 3.25 0. 4.9
time (sec) N/A 0.069 0.322 1.564 0. 2.766 0. 1.098


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 52 0 0 153 0 185
normalized size 1 1. 0.95 0. 0. 2.78 0. 3.36
time (sec) N/A 0.058 0.112 0.837 0. 2.672 0. 1.091


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 27 0 72 80 35
normalized size 1 1. 1. 1.04 0. 2.77 3.08 1.35
time (sec) N/A 0.028 0.032 0.001 0. 2.291 2.644 1.072


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 63 0 0 0 0 0
normalized size 1 1. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.094 0.54 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 111 0 0 0 0 0
normalized size 1 1. 2.36 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.338 0.095 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 163 0 0 0 0 0
normalized size 1 1. 3.2 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.71 0.134 0. 0. 0. 0.


















Problem 350 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 83 83 78 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.123 1.293 0. 0. 0. 0.


















Problem 351 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 81 81 78 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.094 0.749 0. 0. 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 5807 0 0 0 0 0
normalized size 1 1. 79.55 0. 0. 0. 0. 0.
time (sec) N/A 0.083 25.916 0.082 0. 0. 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 307 0 0 0 0 0
normalized size 1 1. 3.7 0. 0. 0. 0. 0.
time (sec) N/A 0.084 13.104 0.103 0. 0. 0. 0.


















Problem 354 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 88 88 85 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.196 0.096 0. 0. 0. 0.


















Problem 355 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 88 88 85 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.129 0.091 0. 0. 0. 0.


















Problem 356 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 88 88 85 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.083 0.098 0. 0. 0. 0.


















Problem 357 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 86 86 83 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.077 0.093 0. 0. 0. 0.


















Problem 358 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 82 82 82 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.108 0.085 0. 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 85 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 0.115 0.087 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 101 0 0 247 0 0
normalized size 1 1. 0.5 0. 0. 1.23 0. 0.
time (sec) N/A 0.321 0.196 0.171 0. 2.379 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 76 0 0 184 0 0
normalized size 1 1. 0.54 0. 0. 1.3 0. 0.
time (sec) N/A 0.222 0.137 0.157 0. 2.331 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 53 0 0 144 0 0
normalized size 1 1. 0.6 0. 0. 1.62 0. 0.
time (sec) N/A 0.124 0.121 0.148 0. 2.371 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 0 88 93 0 0
normalized size 1 1. 1. 0. 2.59 2.74 0. 0.
time (sec) N/A 0.051 0.053 0.144 1.572 2.288 0. 0.


















Problem 364 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 115 115 108 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.129 0.355 0. 0. 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 97 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.254 0.15 0. 0. 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 113 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.25 0.152 0. 0. 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 105 0 842 813 0 0
normalized size 1 1. 0.7 0. 5.61 5.42 0. 0.
time (sec) N/A 0.24 0.434 0.914 1.666 2.462 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 72 0 474 440 0 0
normalized size 1 1. 0.77 0. 5.04 4.68 0. 0.
time (sec) N/A 0.141 0.219 0.935 1.568 2.374 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 0 194 197 0 0
normalized size 1 1. 0.98 0. 4.41 4.48 0. 0.
time (sec) N/A 0.055 0.154 1.25 1.507 2.292 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.067 0.773 0. 0. 0. 0.


















Problem 371 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 70 70 76 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.137 0.802 0. 0. 0. 0.


















Problem 372 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 89 89 96 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.208 0.928 0. 0. 0. 0.


















Problem 373 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 89 89 96 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.181 0.927 0. 0. 0. 0.


















Problem 374 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 86 86 90 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.085 0.42 0. 0. 0. 0.


















Problem 375 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 87 87 87 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.225 0.766 0. 0. 0. 0.


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 46 95 128 83 119
normalized size 1 1. 1. 0.77 1.58 2.13 1.38 1.98
time (sec) N/A 0.042 0.023 0.027 0.949 2.313 3.768 1.081


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 36 65 97 82 65
normalized size 1 1. 1. 0.82 1.48 2.2 1.86 1.48
time (sec) N/A 0.032 0.013 0.022 0.953 2.128 1.084 1.079


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 28 39 25 27 62 34 34
normalized size 1 1.27 1.77 1.14 1.23 2.82 1.55 1.55
time (sec) N/A 0.016 0.011 0.008 0.942 2.043 0.21 1.063


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 26 34 47 97 0 50
normalized size 1 1. 0.6 0.79 1.09 2.26 0. 1.16
time (sec) N/A 0.04 0.011 0.026 0.95 2.298 0. 1.109


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 52 54 72 178 0 74
normalized size 1 1. 1.27 1.32 1.76 4.34 0. 1.8
time (sec) N/A 0.038 0.02 0.031 0.956 2.188 0. 1.13


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 68 74 105 219 0 95
normalized size 1 1. 1.11 1.21 1.72 3.59 0. 1.56
time (sec) N/A 0.044 0.162 0.033 0.965 2.273 0. 1.141


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 62 52 65 132 124 104
normalized size 1 1. 0.95 0.8 1. 2.03 1.91 1.6
time (sec) N/A 0.045 0.11 0.021 0.963 2.252 2.227 1.077


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 41 50 96 71 63
normalized size 1 1. 1.07 0.95 1.16 2.23 1.65 1.47
time (sec) N/A 0.033 0.059 0.02 0.964 2.166 0.61 1.07


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 24 31 53 0 45
normalized size 1 1. 1. 1.04 1.35 2.3 0. 1.96
time (sec) N/A 0.031 0.011 0.028 0.956 2.057 0. 1.097


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 41 38 47 92 0 103
normalized size 1 1. 0.93 0.86 1.07 2.09 0. 2.34
time (sec) N/A 0.036 0.079 0.033 0.967 1.988 0. 1.092


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 53 48 65 127 0 162
normalized size 1 1. 0.88 0.8 1.08 2.12 0. 2.7
time (sec) N/A 0.04 0.179 0.032 0.951 2.095 0. 1.102


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 104 98 143 211 202 184
normalized size 1 1. 1.05 0.99 1.44 2.13 2.04 1.86
time (sec) N/A 0.089 0.205 0.043 0.96 2.238 8.259 1.089


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 56 78 99 163 129 108
normalized size 1 1. 0.73 1.01 1.29 2.12 1.68 1.4
time (sec) N/A 0.071 0.116 0.042 0.962 2.22 2.596 1.085


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 46 21 27 109 53 27
normalized size 1 1. 2.09 0.95 1.23 4.95 2.41 1.23
time (sec) N/A 0.027 0.014 0.015 0.941 2.185 0.576 1.08


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 54 72 81 159 0 84
normalized size 1 1. 0.89 1.18 1.33 2.61 0. 1.38
time (sec) N/A 0.082 0.063 0.043 0.963 2.279 0. 1.129


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 113 118 105 221 0 116
normalized size 1 1. 1.92 2. 1.78 3.75 0. 1.97
time (sec) N/A 0.061 0.943 0.055 0.957 2.231 0. 1.15


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 166 165 155 275 0 159
normalized size 1 1. 1.68 1.67 1.57 2.78 0. 1.61
time (sec) N/A 0.088 0.731 0.058 0.968 2.323 0. 1.147


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 141 128 154 270 398 219
normalized size 1 1. 0.97 0.88 1.05 1.85 2.73 1.5
time (sec) N/A 0.134 0.375 0.043 0.976 2.46 13.741 1.102


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 133 108 119 217 287 166
normalized size 1 1. 1.15 0.93 1.03 1.87 2.47 1.43
time (sec) N/A 0.116 0.193 0.043 0.963 2.303 4.727 1.098


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 85 86 86 167 180 103
normalized size 1 1. 0.99 1. 1. 1.94 2.09 1.2
time (sec) N/A 0.095 0.237 0.042 0.969 2.262 1.318 1.085


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 55 46 62 104 0 85
normalized size 1 1. 1.12 0.94 1.27 2.12 0. 1.73
time (sec) N/A 0.048 0.059 0.036 1.465 2.092 0. 1.115


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 105 62 69 122 0 138
normalized size 1 1. 1.4 0.83 0.92 1.63 0. 1.84
time (sec) N/A 0.096 0.322 0.051 0.973 2.127 0. 1.111


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 84 92 103 173 0 244
normalized size 1 1. 0.82 0.89 1. 1.68 0. 2.37
time (sec) N/A 0.101 0.433 0.056 0.977 2.106 0. 1.12


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 110 120 131 225 0 351
normalized size 1 1. 0.85 0.93 1.02 1.74 0. 2.72
time (sec) N/A 0.123 0.836 0.062 0.972 2.208 0. 1.12


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 120 135 194 281 280 250
normalized size 1 1. 0.83 0.94 1.35 1.95 1.94 1.74
time (sec) N/A 0.133 0.544 0.057 0.949 2.38 13.326 1.114


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 56 115 135 221 178 151
normalized size 1 1. 0.73 1.49 1.75 2.87 2.31 1.96
time (sec) N/A 0.08 0.148 0.055 0.965 2.254 4.59 1.107


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 57 21 27 158 97 27
normalized size 1 1. 2.59 0.95 1.23 7.18 4.41 1.23
time (sec) N/A 0.026 0.069 0.019 0.955 2.243 1.226 1.095


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 67 108 123 221 0 126
normalized size 1 1. 0.84 1.35 1.54 2.76 0. 1.58
time (sec) N/A 0.105 0.118 0.054 0.945 2.443 0. 1.145


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 176 154 132 273 0 154
normalized size 1 1. 1.59 1.39 1.19 2.46 0. 1.39
time (sec) N/A 0.134 1.305 0.067 0.967 2.369 0. 1.167


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 318 195 184 332 0 188
normalized size 1 1. 3.38 2.07 1.96 3.53 0. 2.
time (sec) N/A 0.08 4.113 0.072 0.95 2.4 0. 1.167


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 182 145 158 279 348 234
normalized size 1 1. 1.15 0.92 1. 1.77 2.2 1.48
time (sec) N/A 0.217 0.385 0.053 0.96 2.519 8.278 1.103


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 107 123 126 232 236 153
normalized size 1 1. 0.82 0.94 0.96 1.77 1.8 1.17
time (sec) N/A 0.194 0.54 0.05 0.962 2.235 2.595 1.09


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 68 89 95 154 0 166
normalized size 1 1. 0.86 1.13 1.2 1.95 0. 2.1
time (sec) N/A 0.07 0.307 0.046 1.445 2.508 0. 1.109


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 136 122 108 176 0 173
normalized size 1 1. 1.62 1.45 1.29 2.1 0. 2.06
time (sec) N/A 0.088 0.413 0.068 0.955 2.422 0. 1.111


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 190 173 142 232 0 328
normalized size 1 1. 1.41 1.28 1.05 1.72 0. 2.43
time (sec) N/A 0.192 0.623 0.085 0.972 2.395 0. 1.105


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 245 219 167 279 0 483
normalized size 1 1. 1.48 1.33 1.01 1.69 0. 2.93
time (sec) N/A 0.207 0.906 0.082 0.969 2.36 0. 1.131


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 299 265 196 347 0 639
normalized size 1 1. 1.56 1.38 1.02 1.81 0. 3.33
time (sec) N/A 0.221 1.593 0.118 0.981 2.385 0. 1.139


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 120 530 420 879 614 626
normalized size 1 1. 0.83 3.68 2.92 6.1 4.26 4.35
time (sec) N/A 0.221 2.061 0.086 0.957 3.134 122.701 1.209


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 56 480 315 740 493 367
normalized size 1 1. 0.73 6.23 4.09 9.61 6.4 4.77
time (sec) N/A 0.151 0.885 0.085 0.972 3.026 60.16 1.164


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 137 21 27 582 168 27
normalized size 1 1. 6.23 0.95 1.23 26.45 7.64 1.23
time (sec) N/A 0.026 0.359 0.029 0.944 3.103 20.96 1.129


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 227 465 428 784 0 510
normalized size 1 1. 0.93 1.9 1.75 3.2 0. 2.08
time (sec) N/A 0.182 0.217 0.103 0.956 3.422 0. 1.172


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 366 645 436 894 0 551
normalized size 1 1. 1.29 2.27 1.54 3.15 0. 1.94
time (sec) N/A 0.242 2.357 0.127 0.972 3.369 0. 1.194


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 514 760 470 879 0 579
normalized size 1 1. 1.61 2.38 1.47 2.75 0. 1.81
time (sec) N/A 0.304 4.075 0.139 0.981 3.37 0. 1.214


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 457 497 454 780 1115 491
normalized size 1 1. 1.08 1.17 1.07 1.84 2.64 1.16
time (sec) N/A 1.217 1.053 0.082 1.011 3.262 44.476 1.17


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 313 406 470 651 0 1079
normalized size 1 1. 0.9 1.16 1.35 1.87 0. 3.09
time (sec) N/A 0.563 1.125 0.066 1.482 2.812 0. 1.171


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 369 414 495 443 633 0 923
normalized size 1 1. 1.12 1.34 1.2 1.72 0. 2.5
time (sec) N/A 0.646 1.164 0.134 1.471 2.92 0. 1.183


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 472 544 425 660 0 895
normalized size 1 1. 1.24 1.43 1.12 1.73 0. 2.35
time (sec) N/A 0.724 1.292 0.126 1.468 3.014 0. 1.199


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 404 404 479 567 419 732 0 980
normalized size 1 1. 1.19 1.4 1.04 1.81 0. 2.43
time (sec) N/A 0.821 1.481 0.14 1.49 2.908 0. 1.194


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 313 662 425 795 0 1204
normalized size 1 1. 1.33 2.81 1.8 3.37 0. 5.1
time (sec) N/A 0.385 4.5 0.135 1.005 3.15 0. 1.191


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 103 163 146 250 0 162
normalized size 1 1. 0.87 1.38 1.24 2.12 0. 1.37
time (sec) N/A 0.105 0.195 0.036 0.964 2.713 0. 1.125


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 54 72 74 128 0 76
normalized size 1 1. 0.89 1.18 1.21 2.1 0. 1.25
time (sec) N/A 0.066 0.067 0.033 0.944 2.545 0. 1.104


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 19 24 42 41 26
normalized size 1 1. 1. 1.06 1.33 2.33 2.28 1.44
time (sec) N/A 0.027 0.007 0.013 0.933 2.374 0.618 1.101


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 64 76 86 158 0 96
normalized size 1 1. 0.85 1.01 1.15 2.11 0. 1.28
time (sec) N/A 0.083 0.055 0.043 0.949 2.662 0. 1.141


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 170 164 188 366 0 239
normalized size 1 1. 1.38 1.33 1.53 2.98 0. 1.94
time (sec) N/A 0.164 0.59 0.067 0.961 3.266 0. 1.172


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 266 305 375 579 0 448
normalized size 1 1. 1.36 1.56 1.92 2.97 0. 2.3
time (sec) N/A 0.255 0.953 0.061 0.985 4.306 0. 1.162


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 2843 1055 0 1121 0 670
normalized size 1 1. 15.12 5.61 0. 5.96 0. 3.56
time (sec) N/A 0.462 6.293 0.058 0. 3.073 0. 1.126


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 1685 450 0 768 0 305
normalized size 1 1. 13.27 3.54 0. 6.05 0. 2.4
time (sec) N/A 0.252 6.132 0.045 0. 2.729 0. 1.114


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 398 142 0 498 0 128
normalized size 1 1. 5.69 2.03 0. 7.11 0. 1.83
time (sec) N/A 0.114 2.217 0.037 0. 2.859 0. 1.127


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 152 117 0 684 0 144
normalized size 1 1. 1.81 1.39 0. 8.14 0. 1.71
time (sec) N/A 0.094 0.293 0.046 0. 2.841 0. 1.119


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 202 270 0 1027 0 369
normalized size 1 1. 1.47 1.97 0. 7.5 0. 2.69
time (sec) N/A 0.251 1.262 0.059 0. 2.804 0. 1.134


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 370 525 0 1482 0 788
normalized size 1 1. 1.88 2.66 0. 7.52 0. 4.
time (sec) N/A 0.495 2.549 0.063 0. 3.284 0. 1.163


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 235 305 257 571 0 339
normalized size 1 1. 1.28 1.66 1.4 3.1 0. 1.84
time (sec) N/A 0.173 0.518 0.076 0.955 3.248 0. 1.113


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 127 174 157 359 0 203
normalized size 1 1. 1.06 1.45 1.31 2.99 0. 1.69
time (sec) N/A 0.101 0.635 0.079 0.953 2.816 0. 1.122


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 52 78 82 188 316 123
normalized size 1 1. 0.83 1.24 1.3 2.98 5.02 1.95
time (sec) N/A 0.065 0.038 0.075 0.943 2.805 2.135 1.107


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 21 27 45 51 27
normalized size 1 1. 1. 1.05 1.35 2.25 2.55 1.35
time (sec) N/A 0.027 0.024 0.023 0.933 2.38 1.141 1.102


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 102 101 159 443 0 198
normalized size 1 1. 0.98 0.97 1.53 4.26 0. 1.9
time (sec) N/A 0.115 0.206 0.091 1.057 3.2 0. 1.144


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 222 192 371 867 0 329
normalized size 1 1. 1.25 1.08 2.1 4.9 0. 1.86
time (sec) N/A 0.209 1.736 0.108 0.978 3.825 0. 1.166


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 406 331 682 1195 0 621
normalized size 1 1. 1.51 1.23 2.54 4.44 0. 2.31
time (sec) N/A 0.321 6.113 0.118 1.032 5.571 0. 1.183


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 3695 1021 0 1364 0 633
normalized size 1 1. 19.76 5.46 0. 7.29 0. 3.39
time (sec) N/A 0.371 6.542 0.093 0. 3.249 0. 1.125


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 2447 385 0 938 0 317
normalized size 1 1. 19.12 3.01 0. 7.33 0. 2.48
time (sec) N/A 0.213 6.263 0.081 0. 2.922 0. 1.119


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 494 153 0 852 0 170
normalized size 1 1. 5.88 1.82 0. 10.14 0. 2.02
time (sec) N/A 0.11 5.302 0.072 0. 2.766 0. 1.108


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 162 222 0 1207 0 366
normalized size 1 1. 1.25 1.71 0. 9.28 0. 2.82
time (sec) N/A 0.208 1.102 0.082 0. 2.819 0. 1.139


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 336 370 0 1728 0 576
normalized size 1 1. 1.74 1.92 0. 8.95 0. 2.98
time (sec) N/A 0.367 1.909 0.118 0. 3.381 0. 1.143


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 282 320 270 693 0 331
normalized size 1 1. 1.48 1.68 1.42 3.65 0. 1.74
time (sec) N/A 0.159 0.661 0.098 0.953 3.43 0. 1.136


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 143 183 177 473 0 192
normalized size 1 1. 1.13 1.44 1.39 3.72 0. 1.51
time (sec) N/A 0.105 0.96 0.093 0.956 2.923 0. 1.147


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 55 85 103 257 670 84
normalized size 1 1. 0.76 1.18 1.43 3.57 9.31 1.17
time (sec) N/A 0.072 0.128 0.092 0.955 2.773 2.741 1.124


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 96 73 27
normalized size 1 1. 1. 0.95 1.23 4.36 3.32 1.23
time (sec) N/A 0.026 0.024 0.026 0.942 2.47 2.035 1.108


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 135 166 301 999 0 327
normalized size 1 1. 0.93 1.14 2.08 6.89 0. 2.26
time (sec) N/A 0.154 0.55 0.119 0.971 3.655 0. 1.164


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 283 258 591 1577 0 558
normalized size 1 1. 1.25 1.14 2.62 6.98 0. 2.47
time (sec) N/A 0.277 4.105 0.141 1.029 5.523 0. 1.699


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 328 328 388 398 979 1995 0 776
normalized size 1 1. 1.18 1.21 2.98 6.08 0. 2.37
time (sec) N/A 0.42 2.611 0.142 1.044 9.126 0. 1.206


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 197 197 3905 1060 0 1669 0 617
normalized size 1 1. 19.82 5.38 0. 8.47 0. 3.13
time (sec) N/A 0.367 6.583 0.121 0. 3.823 0. 1.163


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 2657 560 0 1515 0 367
normalized size 1 1. 19.12 4.03 0. 10.9 0. 2.64
time (sec) N/A 0.208 6.281 0.103 0. 3.506 0. 1.158


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 93 443 0 1107 0 279
normalized size 1 1. 0.81 3.85 0. 9.63 0. 2.43
time (sec) N/A 0.128 0.306 0.095 0. 3.638 0. 1.144


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 193 705 0 1983 0 520
normalized size 1 1. 1.01 3.67 0. 10.33 0. 2.71
time (sec) N/A 0.391 3.055 0.092 0. 4.312 0. 1.18


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 380 854 0 2643 0 840
normalized size 1 1. 1.44 3.23 0. 10.01 0. 3.18
time (sec) N/A 0.64 2.811 0.151 0. 4.681 0. 1.228


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 171 208 377 882 2718 290
normalized size 1 1. 0.83 1. 1.82 4.26 13.13 1.4
time (sec) N/A 0.171 1.022 0.154 1.013 4.181 69.054 1.444


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 107 127 278 705 2181 158
normalized size 1 1. 0.76 0.9 1.97 5. 15.47 1.12
time (sec) N/A 0.109 0.285 0.159 1.001 4.105 65.657 1.442


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 54 67 204 572 2632 70
normalized size 1 1. 0.7 0.87 2.65 7.43 34.18 0.91
time (sec) N/A 0.072 0.195 0.155 0.989 4.197 63.344 1.43


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 482 167 27
normalized size 1 1. 1. 0.95 1.23 21.91 7.59 1.23
time (sec) N/A 0.027 0.078 0.047 0.964 4.182 55.018 1.397


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 365 699 1566 7699 0 1364
normalized size 1 1. 0.95 1.82 4.07 20. 0. 3.54
time (sec) N/A 0.528 2.541 0.253 1.248 26.269 0. 1.546


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 527 527 770 804 2255 9441 0 1791
normalized size 1 1. 1.46 1.53 4.28 17.91 0. 3.4
time (sec) N/A 0.736 6.723 0.276 1.433 44.71 0. 1.531


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 491 491 6586 9454 0 8992 0 3140
normalized size 1 1. 13.41 19.25 0. 18.31 0. 6.4
time (sec) N/A 1.274 8.549 0.227 0. 10.695 0. 1.589


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 407 407 552 6933 0 5125 0 2228
normalized size 1 1. 1.36 17.03 0. 12.59 0. 5.47
time (sec) N/A 0.792 6.043 0.211 0. 6.256 0. 1.558


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 411 411 1167 9171 0 6137 0 2608
normalized size 1 1. 2.84 22.31 0. 14.93 0. 6.35
time (sec) N/A 0.791 6.076 0.208 0. 6.729 0. 1.545


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 422 422 1896 11250 0 7096 0 2979
normalized size 1 1. 4.49 26.66 0. 16.82 0. 7.06
time (sec) N/A 0.746 6.191 0.206 0. 7.423 0. 2.097


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 529 529 494 7675 0 9913 0 3524
normalized size 1 1. 0.93 14.51 0. 18.74 0. 6.66
time (sec) N/A 1.765 4.966 0.216 0. 10.099 0. 1.855


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 653 653 597 7823 0 11641 0 4113
normalized size 1 1. 0.91 11.98 0. 17.83 0. 6.3
time (sec) N/A 2.137 5.452 0.354 0. 13.997 0. 2.78


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 117 126 157 348 0 234
normalized size 1 1. 0.76 0.82 1.02 2.26 0. 1.52
time (sec) N/A 0.117 0.324 0.346 0.969 3.587 0. 1.452


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 58 55 82 192 0 105
normalized size 1 1. 0.7 0.66 0.99 2.31 0. 1.27
time (sec) N/A 0.082 0.123 0.295 0.951 3.14 0. 1.657


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 51 83 27
normalized size 1 1. 1. 0.88 1.12 2.12 3.46 1.12
time (sec) N/A 0.036 0.016 0.007 0.942 2.759 0.518 1.074


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 63 0 4132 0 0
normalized size 1 1. 1. 0.85 0. 55.84 0. 0.
time (sec) N/A 0.116 0.053 0.291 0. 6.071 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 143 185 0 4968 0 0
normalized size 1 1. 1.15 1.49 0. 40.06 0. 0.
time (sec) N/A 0.167 0.667 0.408 0. 8.35 0. 0.


















Problem 478 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 207 207 224 509 0 0 0 0
normalized size 1 1. 1.08 2.46 0. 0. 0. 0.
time (sec) N/A 0.323 1.483 0.717 0. 0. 0. 0.


















Problem 479 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 298 298 233 1189 0 0 0 0
normalized size 1 1. 0.78 3.99 0. 0. 0. 0.
time (sec) N/A 0.565 0.839 0.542 0. 0. 0. 0.


















Problem 480 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 215 215 185 792 0 0 0 0
normalized size 1 1. 0.86 3.68 0. 0. 0. 0.
time (sec) N/A 0.261 0.798 0.389 0. 0. 0. 0.


















Problem 481 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 149 149 127 617 0 0 0 0
normalized size 1 1. 0.85 4.14 0. 0. 0. 0.
time (sec) N/A 0.171 2.785 0.486 0. 0. 0. 0.


















Problem 482 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 248 248 270 1259 0 0 0 0
normalized size 1 1. 1.09 5.08 0. 0. 0. 0.
time (sec) N/A 0.371 3.295 0.571 0. 0. 0. 0.


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 131 126 157 462 0 0
normalized size 1 1. 0.85 0.82 1.02 3. 0. 0.
time (sec) N/A 0.123 0.707 0.462 0.95 3.3 0. 0.


















Problem 484 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 83 83 58 55 82 265 314 0
normalized size 1 1. 0.7 0.66 0.99 3.19 3.78 0.
time (sec) N/A 0.091 0.182 0.22 0.961 2.493 134.232 0.


















Problem 485 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 24 24 24 21 27 123 116 0
normalized size 1 1. 1. 0.88 1.12 5.12 4.83 0.
time (sec) N/A 0.039 0.021 0.006 0.949 2.358 27.408 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 89 218 0 0 0 0
normalized size 1 1. 0.95 2.32 0. 0. 0. 0.
time (sec) N/A 0.167 0.096 0.378 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 121 279 0 4775 0 0
normalized size 1 1. 0.93 2.15 0. 36.73 0. 0.
time (sec) N/A 0.274 0.682 0.385 0. 5.458 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 297 409 0 0 0 0
normalized size 1 1. 1.58 2.18 0. 0. 0. 0.
time (sec) N/A 0.318 2.487 0.474 0. 0. 0. 0.


















Problem 489 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 329 329 278 1355 0 0 0 0
normalized size 1 1. 0.84 4.12 0. 0. 0. 0.
time (sec) N/A 0.692 1.058 0.607 0. 0. 0. 0.


















Problem 490 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 247 247 222 943 0 0 0 0
normalized size 1 1. 0.9 3.82 0. 0. 0. 0.
time (sec) N/A 0.462 1.01 0.432 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 163 633 0 0 0 0
normalized size 1 1. 0.97 3.77 0. 0. 0. 0.
time (sec) N/A 0.203 0.635 0.614 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 211 937 0 0 0 0
normalized size 1 1. 0.97 4.3 0. 0. 0. 0.
time (sec) N/A 0.438 2.338 0.568 0. 0. 0. 0.


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 364 1519 0 0 0 0
normalized size 1 1. 1.1 4.6 0. 0. 0. 0.
time (sec) N/A 0.698 6.25 0.843 0. 0. 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 113 126 157 554 0 0
normalized size 1 1. 0.73 0.82 1.02 3.6 0. 0.
time (sec) N/A 0.12 0.572 0.454 0.954 2.615 0. 0.


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 58 55 82 342 0 0
normalized size 1 1. 0.7 0.66 0.99 4.12 0. 0.
time (sec) N/A 0.091 0.086 0.224 0.951 2.254 0. 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 176 0 0
normalized size 1 1. 1. 0.88 1.12 7.33 0. 0.
time (sec) N/A 0.037 0.028 0.007 0.933 2.119 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 105 312 0 4676 0 0
normalized size 1 1. 0.9 2.67 0. 39.97 0. 0.
time (sec) N/A 0.232 0.156 0.368 0. 12.449 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 147 356 0 4980 0 0
normalized size 1 1. 0.95 2.3 0. 32.13 0. 0.
time (sec) N/A 0.27 0.825 0.446 0. 5.172 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 307 538 0 5315 0 0
normalized size 1 1. 1.54 2.7 0. 26.71 0. 0.
time (sec) N/A 0.282 3.262 0.809 0. 5.744 0. 0.


















Problem 500 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 398 398 321 1619 0 0 0 0
normalized size 1 1. 0.81 4.07 0. 0. 0. 0.
time (sec) N/A 0.937 1.214 0.595 0. 0. 0. 0.


















Problem 501 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 299 299 239 1190 0 0 0 0
normalized size 1 1. 0.8 3.98 0. 0. 0. 0.
time (sec) N/A 0.669 0.991 0.488 0. 0. 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 203 1039 0 0 0 0
normalized size 1 1. 1. 5.12 0. 0. 0. 0.
time (sec) N/A 0.28 0.868 0.685 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 259 1249 0 0 0 0
normalized size 1 1. 1.09 5.25 0. 0. 0. 0.
time (sec) N/A 0.394 3.428 0.605 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 351 1360 0 0 0 0
normalized size 1 1. 1.09 4.22 0. 0. 0. 0.
time (sec) N/A 0.672 6.259 0.66 0. 0. 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 439 439 338 1888 0 0 0 0
normalized size 1 1. 0.77 4.3 0. 0. 0. 0.
time (sec) N/A 0.944 4.459 6.417 0. 0. 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 118 126 216 270 0 217
normalized size 1 1. 0.78 0.83 1.42 1.78 0. 1.43
time (sec) N/A 0.114 0.288 0.241 0.981 2.137 0. 1.211


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 58 55 101 135 0 97
normalized size 1 1. 0.72 0.68 1.25 1.67 0. 1.2
time (sec) N/A 0.085 0.076 0.169 0.967 1.982 0. 1.1


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 46 54 27
normalized size 1 1. 1. 0.95 1.23 2.09 2.45 1.23
time (sec) N/A 0.035 0.013 0.005 0.964 1.959 1.023 1.095


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 62 0 0 0 101
normalized size 1 1. 1. 0.84 0. 0. 0. 1.36
time (sec) N/A 0.094 0.054 0.263 0. 0. 0. 1.08


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 176 218 0 0 0 286
normalized size 1 1. 1.22 1.51 0. 0. 0. 1.99
time (sec) N/A 0.305 0.494 0.487 0. 0. 0. 1.106


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-2) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 244 618 0 0 0 566
normalized size 1 1. 1.06 2.69 0. 0. 0. 2.46
time (sec) N/A 0.389 1.869 0.816 0. 0. 0. 1.133


















Problem 512 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 247 247 219 942 0 0 0 0
normalized size 1 1. 0.89 3.81 0. 0. 0. 0.
time (sec) N/A 0.365 1.037 0.547 0. 0. 0. 0.


















Problem 513 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 175 175 145 462 0 0 0 0
normalized size 1 1. 0.83 2.64 0. 0. 0. 0.
time (sec) N/A 0.188 0.75 0.419 0. 0. 0. 0.


















Problem 514 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 183 183 177 640 0 0 0 0
normalized size 1 1. 0.97 3.5 0. 0. 0. 0.
time (sec) N/A 0.203 0.638 0.585 0. 0. 0. 0.


















Problem 515 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 291 291 306 1314 0 0 0 0
normalized size 1 1. 1.05 4.52 0. 0. 0. 0.
time (sec) N/A 0.439 4.038 1.633 0. 0. 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 116 116 167 302 0 184
normalized size 1 1. 0.77 0.77 1.11 2.01 0. 1.23
time (sec) N/A 0.121 0.253 0.224 0.975 2.352 0. 1.107


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 57 54 90 161 0 80
normalized size 1 1. 0.72 0.68 1.14 2.04 0. 1.01
time (sec) N/A 0.094 0.067 0.24 0.971 2.027 0. 1.099


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 21 27 78 56 27
normalized size 1 1. 1. 0.95 1.23 3.55 2.55 1.23
time (sec) N/A 0.038 0.014 0.004 0.946 1.933 3.595 1.082


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 91 99 0 0 0 161
normalized size 1 1. 0.87 0.94 0. 0. 0. 1.53
time (sec) N/A 0.158 0.079 0.442 0. 0. 0. 1.088


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 221 250 0 0 0 401
normalized size 1 1. 1.19 1.34 0. 0. 0. 2.16
time (sec) N/A 0.334 1.106 0.545 0. 0. 0. 1.116


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 324 649 0 0 0 733
normalized size 1 1. 1.14 2.29 0. 0. 0. 2.58
time (sec) N/A 0.521 2.195 0.749 0. 0. 0. 1.193


















Problem 522 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 313 313 273 1195 0 0 0 0
normalized size 1 1. 0.87 3.82 0. 0. 0. 0.
time (sec) N/A 0.539 1.475 0.601 0. 0. 0. 0.


















Problem 523 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 229 229 187 797 0 0 0 0
normalized size 1 1. 0.82 3.48 0. 0. 0. 0.
time (sec) N/A 0.333 1.05 0.471 0. 0. 0. 0.


















Problem 524 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 160 160 125 434 0 0 0 0
normalized size 1 1. 0.78 2.71 0. 0. 0. 0.
time (sec) N/A 0.187 2.732 0.549 0. 0. 0. 0.


















Problem 525 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 251 251 205 1062 0 0 0 0
normalized size 1 1. 0.82 4.23 0. 0. 0. 0.
time (sec) N/A 0.365 1.657 0.788 0. 0. 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 348 1646 0 0 0 0
normalized size 1 1. 0.97 4.58 0. 0. 0. 0.
time (sec) N/A 0.613 2.975 3.27 0. 0. 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 117 116 165 344 0 184
normalized size 1 1. 0.78 0.77 1.1 2.29 0. 1.23
time (sec) N/A 0.122 0.295 0.332 0.953 2.955 0. 1.112


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 56 55 86 216 304 78
normalized size 1 1. 0.71 0.7 1.09 2.73 3.85 0.99
time (sec) N/A 0.094 0.054 0.241 0.944 2.364 30.673 1.117


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 130 87 27
normalized size 1 1. 1. 0.88 1.12 5.42 3.62 1.12
time (sec) N/A 0.042 0.019 0.004 0.943 2.26 29.481 1.095


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 94 130 0 7309 0 227
normalized size 1 1. 0.68 0.94 0. 52.58 0. 1.63
time (sec) N/A 0.243 0.072 0.437 0. 8.074 0. 1.087


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 245 283 0 0 0 512
normalized size 1 1. 1.06 1.23 0. 0. 0. 2.22
time (sec) N/A 0.416 0.856 0.784 0. 0. 0. 1.157


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 339 339 296 682 0 0 0 861
normalized size 1 1. 0.87 2.01 0. 0. 0. 2.54
time (sec) N/A 0.645 3.361 0.795 0. 0. 0. 1.219


















Problem 533 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 384 384 356 2253 0 0 0 0
normalized size 1 1. 0.93 5.87 0. 0. 0. 0.
time (sec) N/A 0.761 1.762 0.596 0. 0. 0. 0.


















Problem 534 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 293 293 244 1642 0 0 0 0
normalized size 1 1. 0.83 5.6 0. 0. 0. 0.
time (sec) N/A 0.513 1.187 0.592 0. 0. 0. 0.


















Problem 535 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 221 221 174 1047 0 0 0 0
normalized size 1 1. 0.79 4.74 0. 0. 0. 0.
time (sec) N/A 0.32 1.027 0.497 0. 0. 0. 0.


















Problem 536 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 219 219 167 864 0 0 0 0
normalized size 1 1. 0.76 3.95 0. 0. 0. 0.
time (sec) N/A 0.263 1.009 0.535 0. 0. 0. 0.


















Problem 537 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 325 325 241 1653 0 0 0 0
normalized size 1 1. 0.74 5.09 0. 0. 0. 0.
time (sec) N/A 0.609 1.846 3.105 0. 0. 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 425 425 341 2585 0 0 0 0
normalized size 1 1. 0.8 6.08 0. 0. 0. 0.
time (sec) N/A 0.876 2.438 4.317 0. 0. 0. 0.


















Problem 539 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 124 124 104 259 0 0 0 0
normalized size 1 1. 0.84 2.09 0. 0. 0. 0.
time (sec) N/A 0.092 0.825 0.99 0. 0. 0. 0.


















Problem 540 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 95 95 79 222 0 0 0 0
normalized size 1 1. 0.83 2.34 0. 0. 0. 0.
time (sec) N/A 0.073 0.482 1.102 0. 0. 0. 0.


















Problem 541 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 95 95 79 185 0 0 0 0
normalized size 1 1. 0.83 1.95 0. 0. 0. 0.
time (sec) N/A 0.071 0.464 1.019 0. 0. 0. 0.


















Problem 542 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 63 63 56 123 0 0 0 0
normalized size 1 1. 0.89 1.95 0. 0. 0. 0.
time (sec) N/A 0.051 0.101 0.753 0. 0. 0. 0.


















Problem 543 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 61 61 50 106 0 0 0 0
normalized size 1 1. 0.82 1.74 0. 0. 0. 0.
time (sec) N/A 0.052 0.196 0.594 0. 0. 0. 0.


















Problem 544 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 91 91 54 119 0 0 0 0
normalized size 1 1. 0.59 1.31 0. 0. 0. 0.
time (sec) N/A 0.074 0.116 1.112 0. 0. 0. 0.


















Problem 545 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 97 97 55 193 0 0 0 0
normalized size 1 1. 0.57 1.99 0. 0. 0. 0.
time (sec) N/A 0.072 0.146 1.668 0. 0. 0. 0.


















Problem 546 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 126 126 70 310 0 0 0 0
normalized size 1 1. 0.56 2.46 0. 0. 0. 0.
time (sec) N/A 0.091 0.325 2.526 0. 0. 0. 0.


















Problem 547 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 188 188 160 473 0 0 0 0
normalized size 1 1. 0.85 2.52 0. 0. 0. 0.
time (sec) N/A 0.191 1.908 1.214 0. 0. 0. 0.


















Problem 548 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 149 149 113 408 0 0 0 0
normalized size 1 1. 0.76 2.74 0. 0. 0. 0.
time (sec) N/A 0.167 0.889 1.271 0. 0. 0. 0.


















Problem 549 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 149 149 115 343 0 0 0 0
normalized size 1 1. 0.77 2.3 0. 0. 0. 0.
time (sec) N/A 0.164 1.141 1.028 0. 0. 0. 0.


















Problem 550 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 109 109 80 251 0 0 0 0
normalized size 1 1. 0.73 2.3 0. 0. 0. 0.
time (sec) N/A 0.13 0.312 1.132 0. 0. 0. 0.


















Problem 551 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 109 109 75 210 0 0 0 0
normalized size 1 1. 0.69 1.93 0. 0. 0. 0.
time (sec) N/A 0.129 0.392 0.777 0. 0. 0. 0.


















Problem 552 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 113 113 71 197 0 0 0 0
normalized size 1 1. 0.63 1.74 0. 0. 0. 0.
time (sec) N/A 0.135 0.233 1.283 0. 0. 0. 0.


















Problem 553 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 119 119 72 333 0 0 0 0
normalized size 1 1. 0.61 2.8 0. 0. 0. 0.
time (sec) N/A 0.139 0.256 1.688 0. 0. 0. 0.


















Problem 554 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 160 160 105 564 0 0 0 0
normalized size 1 1. 0.66 3.52 0. 0. 0. 0.
time (sec) N/A 0.172 0.536 3.381 0. 0. 0. 0.


















Problem 555 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 237 237 205 618 0 0 0 0
normalized size 1 1. 0.86 2.61 0. 0. 0. 0.
time (sec) N/A 0.308 2.016 2.566 0. 0. 0. 0.


















Problem 556 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 197 197 150 534 0 0 0 0
normalized size 1 1. 0.76 2.71 0. 0. 0. 0.
time (sec) N/A 0.286 1.385 2.238 0. 0. 0. 0.


















Problem 557 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 197 197 153 450 0 0 0 0
normalized size 1 1. 0.78 2.28 0. 0. 0. 0.
time (sec) N/A 0.289 1.351 1.996 0. 0. 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 101 339 0 0 0 0
normalized size 1 1. 0.65 2.17 0. 0. 0. 0.
time (sec) N/A 0.241 0.606 1.639 0. 0. 0. 0.


















Problem 559 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 152 152 94 279 0 0 0 0
normalized size 1 1. 0.62 1.84 0. 0. 0. 0.
time (sec) N/A 0.24 0.771 1.382 0. 0. 0. 0.


















Problem 560 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 160 160 98 248 0 0 0 0
normalized size 1 1. 0.61 1.55 0. 0. 0. 0.
time (sec) N/A 0.241 0.396 1.937 0. 0. 0. 0.


















Problem 561 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 164 164 103 384 0 0 0 0
normalized size 1 1. 0.63 2.34 0. 0. 0. 0.
time (sec) N/A 0.249 0.684 1.881 0. 0. 0. 0.


















Problem 562 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 187 187 126 618 0 0 0 0
normalized size 1 1. 0.67 3.3 0. 0. 0. 0.
time (sec) N/A 0.264 0.705 3.974 0. 0. 0. 0.


















Problem 563 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 188 188 140 750 0 0 0 0
normalized size 1 1. 0.74 3.99 0. 0. 0. 0.
time (sec) N/A 0.267 0.638 4.631 0. 0. 0. 0.


















Problem 564 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 305 305 251 863 0 0 0 0
normalized size 1 1. 0.82 2.83 0. 0. 0. 0.
time (sec) N/A 0.551 4.813 2.684 0. 0. 0. 0.


















Problem 565 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 258 258 209 776 0 0 0 0
normalized size 1 1. 0.81 3.01 0. 0. 0. 0.
time (sec) N/A 0.508 2.103 2.417 0. 0. 0. 0.


















Problem 566 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 258 258 189 639 0 0 0 0
normalized size 1 1. 0.73 2.48 0. 0. 0. 0.
time (sec) N/A 0.509 2.72 2.106 0. 0. 0. 0.


















Problem 567 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 210 210 137 525 0 0 0 0
normalized size 1 1. 0.65 2.5 0. 0. 0. 0.
time (sec) N/A 0.442 1.09 1.846 0. 0. 0. 0.


















Problem 568 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 210 210 130 412 0 0 0 0
normalized size 1 1. 0.62 1.96 0. 0. 0. 0.
time (sec) N/A 0.445 1.091 1.437 0. 0. 0. 0.


















Problem 569 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 218 218 135 378 0 0 0 0
normalized size 1 1. 0.62 1.73 0. 0. 0. 0.
time (sec) N/A 0.438 0.575 2.007 0. 0. 0. 0.


















Problem 570 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 216 216 137 575 0 0 0 0
normalized size 1 1. 0.63 2.66 0. 0. 0. 0.
time (sec) N/A 0.445 1.159 2.206 0. 0. 0. 0.


















Problem 571 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 237 237 152 874 0 0 0 0
normalized size 1 1. 0.64 3.69 0. 0. 0. 0.
time (sec) N/A 0.465 0.568 4.376 0. 0. 0. 0.


















Problem 572 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 241 241 177 1067 0 0 0 0
normalized size 1 1. 0.73 4.43 0. 0. 0. 0.
time (sec) N/A 0.463 0.88 5.161 0. 0. 0. 0.


















Problem 573 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 264 264 219 1416 0 0 0 0
normalized size 1 1. 0.83 5.36 0. 0. 0. 0.
time (sec) N/A 0.479 1.597 7.477 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 531 531 2035 3711 0 0 0 0
normalized size 1 1. 3.83 6.99 0. 0. 0. 0.
time (sec) N/A 1.908 27.999 3.802 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 446 446 834 2126 0 0 0 0
normalized size 1 1. 1.87 4.77 0. 0. 0. 0.
time (sec) N/A 1.286 27.126 2.586 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 461 461 1955 2329 0 0 0 0
normalized size 1 1. 4.24 5.05 0. 0. 0. 0.
time (sec) N/A 1.323 29.086 3.155 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 384 384 709 1131 0 0 0 0
normalized size 1 1. 1.85 2.95 0. 0. 0. 0.
time (sec) N/A 0.87 21.434 2.72 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 397 397 233 1266 0 0 0 0
normalized size 1 1. 0.59 3.19 0. 0. 0. 0.
time (sec) N/A 0.882 4.703 2.537 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 292 292 361 682 0 0 0 0
normalized size 1 1. 1.24 2.34 0. 0. 0. 0.
time (sec) N/A 0.582 15.969 1.838 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 299 299 558 678 0 0 0 0
normalized size 1 1. 1.87 2.27 0. 0. 0. 0.
time (sec) N/A 0.574 16.756 2.056 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 411 411 791 1103 0 0 0 0
normalized size 1 1. 1.92 2.68 0. 0. 0. 0.
time (sec) N/A 0.928 21.773 3.057 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 434 434 1192 1083 0 0 0 0
normalized size 1 1. 2.75 2.5 0. 0. 0. 0.
time (sec) N/A 0.999 24.786 3.79 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 486 486 881 2399 0 0 0 0
normalized size 1 1. 1.81 4.94 0. 0. 0. 0.
time (sec) N/A 1.328 6.757 5.316 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 543 543 2030 19829 0 0 0 0
normalized size 1 1. 3.74 36.52 0. 0. 0. 0.
time (sec) N/A 1.519 27.726 10.645 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 459 459 835 20346 0 0 0 0
normalized size 1 1. 1.82 44.33 0. 0. 0. 0.
time (sec) N/A 1.12 26.893 8.373 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 473 473 1956 14392 0 0 0 0
normalized size 1 1. 4.14 30.43 0. 0. 0. 0.
time (sec) N/A 1.118 27.333 8.384 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 390 390 371 13221 0 0 0 0
normalized size 1 1. 0.95 33.9 0. 0. 0. 0.
time (sec) N/A 0.819 38.814 6.415 0. 0. 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 404 404 614 9301 0 0 0 0
normalized size 1 1. 1.52 23.02 0. 0. 0. 0.
time (sec) N/A 0.892 12.493 6.523 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 422 422 787 7033 0 0 0 0
normalized size 1 1. 1.86 16.67 0. 0. 0. 0.
time (sec) N/A 0.868 16.337 6.78 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 429 429 1181 4457 0 0 0 0
normalized size 1 1. 2.75 10.39 0. 0. 0. 0.
time (sec) N/A 0.898 24.19 6.516 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 492 492 777 8216 0 0 0 0
normalized size 1 1. 1.58 16.7 0. 0. 0. 0.
time (sec) N/A 1.219 6.639 10.079 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 514 514 1258 6022 0 0 0 0
normalized size 1 1. 2.45 11.72 0. 0. 0. 0.
time (sec) N/A 1.309 25.339 13.628 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 574 574 949 10743 0 0 0 0
normalized size 1 1. 1.65 18.72 0. 0. 0. 0.
time (sec) N/A 1.623 6.875 21.724 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 575 575 932 111631 0 0 0 0
normalized size 1 1. 1.62 194.14 0. 0. 0. 0.
time (sec) N/A 1.415 25.563 29.625 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 589 589 2024 85607 0 0 0 0
normalized size 1 1. 3.44 145.34 0. 0. 0. 0.
time (sec) N/A 1.487 27.536 32.438 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 483 483 777 85489 0 0 0 0
normalized size 1 1. 1.61 177. 0. 0. 0. 0.
time (sec) N/A 1.075 26.124 25.289 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 497 497 1954 65216 0 0 0 0
normalized size 1 1. 3.93 131.22 0. 0. 0. 0.
time (sec) N/A 1.079 26.424 24.696 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 505 505 831 63272 0 0 0 0
normalized size 1 1. 1.65 125.29 0. 0. 0. 0.
time (sec) N/A 1.105 24.158 26.309 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 519 519 1211 45147 0 0 0 0
normalized size 1 1. 2.33 86.99 0. 0. 0. 0.
time (sec) N/A 1.138 24.3 27.009 0. 0. 0. 0.


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 514 514 837 36688 0 0 0 0
normalized size 1 1. 1.63 71.38 0. 0. 0. 0.
time (sec) N/A 1.187 26.462 27.897 0. 0. 0. 0.


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 520 520 1226 25322 0 0 0 0
normalized size 1 1. 2.36 48.7 0. 0. 0. 0.
time (sec) N/A 1.226 24.949 24.928 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 596 596 922 46134 0 0 0 0
normalized size 1 1. 1.55 77.41 0. 0. 0. 0.
time (sec) N/A 1.593 6.824 46.141 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 614 614 1308 32645 0 0 0 0
normalized size 1 1. 2.13 53.17 0. 0. 0. 0.
time (sec) N/A 1.721 24.001 62.991 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 685 685 1014 49016 0 0 0 0
normalized size 1 1. 1.48 71.56 0. 0. 0. 0.
time (sec) N/A 2.028 6.95 90.928 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 671 671 2102 300244 0 0 0 0
normalized size 1 1. 3.13 447.46 0. 0. 0. 0.
time (sec) N/A 1.832 27.709 111.302 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 557 557 937 180834 0 0 0 0
normalized size 1 1. 1.68 324.66 0. 0. 0. 0.
time (sec) N/A 1.364 27.061 78.119 0. 0. 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 571 571 2020 144252 0 0 0 0
normalized size 1 1. 3.54 252.63 0. 0. 0. 0.
time (sec) N/A 1.378 27.157 91.461 0. 0. 0. 0.


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 591 591 900 237416 0 0 0 0
normalized size 1 1. 1.52 401.72 0. 0. 0. 0.
time (sec) N/A 1.43 26.948 84.159 0. 0. 0. 0.


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 597 597 1263 192036 0 0 0 0
normalized size 1 1. 2.12 321.67 0. 0. 0. 0.
time (sec) N/A 1.52 24.97 96.503 0. 0. 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 574 574 892 179434 0 0 0 0
normalized size 1 1. 1.55 312.6 0. 0. 0. 0.
time (sec) N/A 1.447 26.819 95.938 0. 0. 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 592 592 1263 138380 0 0 0 0
normalized size 1 1. 2.13 233.75 0. 0. 0. 0.
time (sec) N/A 1.471 24.58 94.995 0. 0. 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 579 579 900 112960 0 0 0 0
normalized size 1 1. 1.55 195.09 0. 0. 0. 0.
time (sec) N/A 1.532 6.731 88.013 0. 0. 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 593 593 1276 85165 0 0 0 0
normalized size 1 1. 2.15 143.62 0. 0. 0. 0.
time (sec) N/A 1.57 25.24 86.842 0. 0. 0. 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 674 674 996 150599 0 0 0 0
normalized size 1 1. 1.48 223.44 0. 0. 0. 0.
time (sec) N/A 1.952 7.028 152.143 0. 0. 0. 0.


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B C B F F F F
verified N/A NO Yes TBD TBD TBD TBD TBD
size 183 374 117 442 0 0 0 0
normalized size 1 2.04 0.64 2.42 0. 0. 0. 0.
time (sec) N/A 0.428 0.313 0.514 0. 0. 0. 0.


















Problem 616 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 229 229 290 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.37 54.716 3.557 0. 0. 0. 0.


















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 157 157 285 0 0 0 0 0
normalized size 1 1. 1.82 0. 0. 0. 0. 0.
time (sec) N/A 0.149 1.023 2.566 0. 0. 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 97 97 240 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.935 0.875 0. 0. 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 3819 0 0 0 0 0
normalized size 1 1. 24.17 0. 0. 0. 0. 0.
time (sec) N/A 0.079 20.06 0.628 0. 0. 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 4793 0 0 0 0 0
normalized size 1 1. 28.19 0. 0. 0. 0. 0.
time (sec) N/A 0.069 25.565 0.526 0. 0. 0. 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 7904 0 0 0 0 0
normalized size 1 1. 46.49 0. 0. 0. 0. 0.
time (sec) N/A 0.069 28.951 0.744 0. 0. 0. 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-1) F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 170 170 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 66.861 4.677 0. 0. 0. 0.


















Problem 623 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 156 156 187 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.134 7.819 0.176 0. 0. 0. 0.


















Problem 624 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 156 156 187 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.821 0.132 0. 0. 0. 0.


















Problem 625 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 156 156 187 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.106 1.083 0.128 0. 0. 0. 0.


















Problem 626 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 154 154 185 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.117 1.095 0.131 0. 0. 0. 0.


















Problem 627 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 154 154 185 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.117 2.92 0.129 0. 0. 0. 0.


















Problem 628 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 156 156 187 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.118 3.071 0.124 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 158 158 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.099 2.363 0.863 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 459 0 0 1801 0 4832
normalized size 1 1. 1.81 0. 0. 7.09 0. 19.02
time (sec) N/A 0.164 6.117 0.3 0. 2.693 0. 1.176


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 169 0 0 825 0 1904
normalized size 1 1. 1.01 0. 0. 4.94 0. 11.4
time (sec) N/A 0.112 0.914 0.238 0. 2.069 0. 1.14


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 74 0 0 311 0 504
normalized size 1 1. 0.8 0. 0. 3.38 0. 5.48
time (sec) N/A 0.072 0.263 0.204 0. 1.443 0. 1.119


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 27 0 80 99 35
normalized size 1 1. 1. 1.04 0. 3.08 3.81 1.35
time (sec) N/A 0.027 0.025 0.009 0. 1.408 2.647 1.105


















Problem 634 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 115 115 99 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.114 0.632 0. 0. 0. 0.


















Problem 635 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 183 183 157 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.226 0.567 0.319 0. 0. 0. 0.


















Problem 636 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 305 305 260 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.421 4.068 0.563 0. 0. 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 4.117 0.174 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 127 127 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 5.861 0.142 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 2.083 0.089 0. 0. 0. 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 129 129 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 3.881 0.229 0. 0. 0. 0.


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 56.661 0.121 0. 0. 0. 0.


















Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.099 5.844 0.105 0. 0. 0. 0.


















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 1.986 0.109 0. 0. 0. 0.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 1.757 0.102 0. 0. 0. 0.


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.099 1.974 0.101 0. 0. 0. 0.


















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 134 134 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.1 2.134 0.101 0. 0. 0. 0.


















Problem 647 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 598 598 826 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 1.018 6.094 0.202 0. 0. 0. 0.


















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A NO Yes TBD TBD TBD TBD TBD
size 311 420 319 0 0 0 0 0
normalized size 1 1.35 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.512 5.053 0.178 0. 0. 0. 0.


















Problem 649 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 201 201 168 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.293 0.941 0.181 0. 0. 0. 0.


















Problem 650 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 132 132 132 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.372 0.175 0. 0. 0. 0.


















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.103 1.582 0.389 0. 0. 0. 0.


















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 142 142 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 5.254 0.184 0. 0. 0. 0.


















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.104 4.235 0.181 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 [594] had the largest ratio of [ 0.52 ]

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 3 2 1. 19 0.105







2 A 5 3 1. 19 0.158







3 A 3 2 1. 19 0.105







4 A 4 3 1. 19 0.158







5 A 3 2 1. 19 0.105







6 A 3 3 1. 19 0.158







7 A 2 1 1.27 17 0.059







8 A 2 2 1. 17 0.118







9 A 3 3 1. 19 0.158







10 A 4 3 1. 19 0.158







11 A 3 2 1. 19 0.105







12 A 4 3 1. 19 0.158







13 A 6 4 1. 21 0.19







14 A 3 2 1. 21 0.095







15 A 5 4 1. 21 0.19







16 A 3 2 1. 21 0.095







17 A 4 4 1. 21 0.19







18 A 2 2 1. 19 0.105







19 A 3 2 1. 19 0.105







20 A 3 3 1. 21 0.143







21 A 2 2 1. 21 0.095







22 A 3 3 1. 21 0.143







23 A 4 3 1. 21 0.143







24 A 3 2 1. 21 0.095







25 A 4 3 1. 21 0.143







26 A 3 2 1. 21 0.095







27 A 7 4 1. 21 0.19







28 A 3 2 1. 21 0.095







29 A 6 4 1. 21 0.19







30 A 3 2 1. 21 0.095







31 A 5 4 1. 21 0.19







32 A 2 2 1. 19 0.105







33 A 3 2 1. 19 0.105







34 A 4 4 1. 21 0.19







35 A 3 2 1. 21 0.095







36 A 2 2 1. 21 0.095







37 A 2 2 1. 21 0.095







38 A 4 3 1. 21 0.143







39 A 4 3 1. 21 0.143







40 A 4 3 1. 21 0.143







41 A 3 2 1. 21 0.095







42 A 11 4 1. 21 0.19







43 A 3 2 1. 21 0.095







44 A 10 4 1. 21 0.19







45 A 2 2 1. 19 0.105







46 A 3 2 1. 19 0.105







47 A 9 6 1. 21 0.286







48 A 3 2 1. 21 0.095







49 A 8 6 1. 21 0.286







50 A 3 2 1. 21 0.095







51 A 4 3 1. 21 0.143







52 A 3 2 1. 21 0.095







53 A 3 3 1. 21 0.143







54 A 2 1 1. 21 0.048







55 A 2 2 1. 21 0.095







56 A 2 2 1. 19 0.105







57 A 4 3 1. 19 0.158







58 A 3 3 1. 21 0.143







59 A 4 3 1. 21 0.143







60 A 3 2 1. 21 0.095







61 A 4 3 1. 21 0.143







62 A 5 4 1. 21 0.19







63 A 3 2 1. 21 0.095







64 A 4 4 1. 21 0.19







65 A 2 2 1. 21 0.095







66 A 3 3 1. 21 0.143







67 A 3 2 1. 21 0.095







68 A 2 2 1. 21 0.095







69 A 2 2 1. 19 0.105







70 A 4 3 1. 19 0.158







71 A 4 3 1. 21 0.143







72 A 4 3 1. 21 0.143







73 A 4 2 1. 21 0.095







74 A 4 3 1. 21 0.143







75 A 5 4 1. 21 0.19







76 A 2 2 1. 21 0.095







77 A 4 4 1. 21 0.19







78 A 3 2 1. 21 0.095







79 A 3 3 1. 21 0.143







80 A 3 2 1. 21 0.095







81 A 1 1 1. 21 0.048







82 A 2 2 1. 19 0.105







83 A 4 3 1. 19 0.158







84 A 5 3 1. 21 0.143







85 A 4 3 1. 21 0.143







86 A 5 2 1. 21 0.095







87 A 4 3 1. 21 0.143







88 A 5 2 1. 21 0.095







89 A 2 2 1. 21 0.095







90 A 2 2 1. 21 0.095







91 A 3 2 1. 21 0.095







92 A 4 2 1. 21 0.095







93 A 3 2 1. 21 0.095







94 A 6 2 1. 21 0.095







95 A 2 2 1. 19 0.105







96 A 4 3 1. 19 0.158







97 A 10 3 1. 21 0.143







98 A 4 3 1. 21 0.143







99 A 10 2 1. 21 0.095







100 A 4 3 1. 21 0.143







101 A 3 2 1. 23 0.087







102 A 4 2 1. 23 0.087







103 A 3 2 1. 23 0.087







104 A 3 2 1. 23 0.087







105 A 3 2 1. 23 0.087







106 A 2 2 1. 23 0.087







107 A 2 2 1. 21 0.095







108 A 3 3 1. 21 0.143







109 A 3 3 1. 23 0.13







110 A 5 5 1. 23 0.217







111 A 5 5 1. 23 0.217







112 A 7 6 1. 23 0.261







113 A 7 6 1. 23 0.261







114 A 3 2 1. 23 0.087







115 A 5 2 1. 23 0.087







116 A 3 2 1. 23 0.087







117 A 4 2 1. 23 0.087







118 A 3 2 1. 23 0.087







119 A 3 2 1. 23 0.087







120 A 2 2 1. 21 0.095







121 A 4 4 1. 21 0.19







122 A 1 1 1. 23 0.043







123 A 4 4 1. 23 0.174







124 A 4 3 1. 23 0.13







125 A 6 5 1. 23 0.217







126 A 6 5 1. 23 0.217







127 A 3 2 1. 23 0.087







128 A 5 2 1. 23 0.087







129 A 3 2 1. 23 0.087







130 A 4 2 1. 23 0.087







131 A 2 2 1. 21 0.095







132 A 5 4 1. 21 0.19







133 A 2 2 1. 23 0.087







134 A 4 4 1. 23 0.174







135 A 1 1 1. 23 0.043







136 A 5 4 1. 23 0.174







137 A 5 3 1. 23 0.13







138 A 7 5 1. 23 0.217







139 A 3 2 1. 23 0.087







140 A 7 2 1. 23 0.087







141 A 3 2 1. 23 0.087







142 A 6 2 1. 23 0.087







143 A 3 2 1. 23 0.087







144 A 5 2 1. 23 0.087







145 A 2 2 1. 21 0.095







146 A 6 4 1. 21 0.19







147 A 3 2 1. 23 0.087







148 A 5 5 1. 23 0.217







149 A 2 2 1. 23 0.087







150 A 5 5 1. 23 0.217







151 A 1 1 1. 23 0.043







152 A 6 4 1. 23 0.174







153 A 6 3 1. 23 0.13







154 A 8 5 1. 23 0.217







155 A 8 5 1. 23 0.217







156 A 3 2 1. 23 0.087







157 A 3 2 1. 23 0.087







158 A 3 2 1. 23 0.087







159 A 2 2 1. 23 0.087







160 A 3 2 1. 23 0.087







161 A 1 1 1. 23 0.043







162 A 2 2 1. 21 0.095







163 A 4 4 1. 21 0.19







164 A 4 4 1. 23 0.174







165 A 6 5 1. 23 0.217







166 A 6 5 1. 23 0.217







167 A 8 6 1. 23 0.261







168 A 8 5 1. 23 0.217







169 A 3 2 1. 23 0.087







170 A 2 2 1. 23 0.087







171 A 3 2 1. 23 0.087







172 A 1 1 1. 23 0.043







173 A 3 2 1. 23 0.087







174 A 3 3 1. 23 0.13







175 A 2 2 1. 21 0.095







176 A 5 4 1. 21 0.19







177 A 5 5 1. 23 0.217







178 A 7 6 1. 23 0.261







179 A 7 5 1. 23 0.217







180 A 9 6 1. 23 0.261







181 A 9 5 1. 23 0.217







182 A 3 2 1. 23 0.087







183 A 3 2 1. 23 0.087







184 A 2 2 1. 23 0.087







185 A 3 2 1. 23 0.087







186 A 1 1 1. 23 0.043







187 A 3 2 1. 23 0.087







188 A 4 3 1. 23 0.13







189 A 3 2 1. 23 0.087







190 A 3 3 1. 23 0.13







191 A 2 2 1. 21 0.095







192 A 6 4 1. 21 0.19







193 A 6 5 1. 23 0.217







194 A 8 6 1. 23 0.261







195 A 8 5 1. 23 0.217







196 A 5 4 1. 23 0.174







197 A 4 4 1. 23 0.174







198 A 4 4 1. 23 0.174







199 A 3 3 1. 23 0.13







200 A 3 3 1. 23 0.13







201 A 4 4 1. 23 0.174







202 A 4 4 1. 23 0.174







203 A 5 4 1. 23 0.174







204 A 6 5 1. 25 0.2







205 A 5 5 1. 25 0.2







206 A 5 5 1. 25 0.2







207 A 4 4 1. 25 0.16







208 A 4 4 1. 25 0.16







209 A 4 4 1. 25 0.16







210 A 4 4 1. 25 0.16







211 A 5 5 1. 25 0.2







212 A 4 4 1. 25 0.16







213 A 5 4 1. 25 0.16







214 A 7 5 1. 25 0.2







215 A 6 5 1. 25 0.2







216 A 6 5 1. 25 0.2







217 A 5 4 1. 25 0.16







218 A 5 4 1. 25 0.16







219 A 5 5 1. 25 0.2







220 A 5 5 1. 25 0.2







221 A 5 5 1. 25 0.2







222 A 5 5 1. 25 0.2







223 A 6 5 1. 25 0.2







224 A 7 5 1. 25 0.2







225 A 6 4 1. 25 0.16







226 A 6 4 1. 25 0.16







227 A 6 5 1. 25 0.2







228 A 6 5 1. 25 0.2







229 A 5 4 1. 25 0.16







230 A 5 4 1. 25 0.16







231 A 6 6 1. 25 0.24







232 A 6 6 1. 25 0.24







233 A 5 4 1. 25 0.16







234 A 4 4 1. 25 0.16







235 A 4 4 1. 25 0.16







236 A 3 3 1. 25 0.12







237 A 3 3 1. 25 0.12







238 A 3 3 1. 25 0.12







239 A 3 3 1. 25 0.12







240 A 4 4 1. 25 0.16







241 A 4 4 1. 25 0.16







242 A 5 4 1. 25 0.16







243 A 5 4 1. 25 0.16







244 A 4 4 1. 25 0.16







245 A 4 4 1. 25 0.16







246 A 3 3 1. 25 0.12







247 A 3 3 1. 25 0.12







248 A 4 4 1. 25 0.16







249 A 4 4 1. 25 0.16







250 A 5 5 1. 25 0.2







251 A 5 5 1. 25 0.2







252 A 6 5 1. 25 0.2







253 A 6 5 1. 25 0.2







254 A 5 5 1. 25 0.2







255 A 5 5 1. 25 0.2







256 A 4 4 1. 25 0.16







257 A 4 4 1. 25 0.16







258 A 4 4 1. 25 0.16







259 A 4 4 1. 25 0.16







260 A 5 4 1. 25 0.16







261 A 5 4 1. 25 0.16







262 A 6 5 1. 25 0.2







263 A 6 4 1. 25 0.16







264 A 5 4 1. 25 0.16







265 A 5 4 1. 25 0.16







266 A 4 3 1. 25 0.12







267 A 4 3 1. 25 0.12







268 A 5 5 1. 25 0.2







269 A 5 5 1. 25 0.2







270 A 6 4 1. 25 0.16







271 A 6 4 1. 25 0.16







272 A 7 5 1. 25 0.2







273 A 8 8 1. 27 0.296







274 A 7 7 1. 27 0.259







275 A 6 6 1. 27 0.222







276 A 1 1 1. 27 0.037







277 A 2 2 1. 27 0.074







278 A 3 2 1. 27 0.074







279 A 4 2 1. 27 0.074







280 A 10 9 1. 27 0.333







281 A 9 8 1. 27 0.296







282 A 8 7 1. 27 0.259







283 A 7 7 1. 27 0.259







284 A 7 7 1. 27 0.259







285 A 1 1 1. 27 0.037







286 A 2 2 1. 27 0.074







287 A 3 2 1. 27 0.074







288 A 4 2 1. 27 0.074







289 A 10 8 1. 27 0.296







290 A 9 7 1. 27 0.259







291 A 8 7 1. 27 0.259







292 A 8 8 1. 27 0.296







293 A 7 7 1. 27 0.259







294 A 1 1 1. 27 0.037







295 A 2 2 1. 27 0.074







296 A 3 2 1. 27 0.074







297 A 4 2 1. 27 0.074







298 A 8 8 1. 27 0.296







299 A 7 7 1. 27 0.259







300 A 6 6 1. 27 0.222







301 A 1 1 1. 27 0.037







302 A 2 2 1. 27 0.074







303 A 3 2 1. 27 0.074







304 A 4 2 1. 27 0.074







305 A 8 8 1. 27 0.296







306 A 7 7 1. 27 0.259







307 A 8 8 1. 27 0.296







308 A 1 1 1. 27 0.037







309 A 2 2 1. 27 0.074







310 A 3 2 1. 27 0.074







311 A 4 2 1. 27 0.074







312 A 5 2 1. 27 0.074







313 A 9 9 1. 27 0.333







314 A 8 8 1. 27 0.296







315 A 7 7 1. 27 0.259







316 A 1 1 1. 27 0.037







317 A 2 2 1. 27 0.074







318 A 3 2 1. 27 0.074







319 A 4 2 1. 27 0.074







320 A 5 2 1. 27 0.074







321 A 3 3 1. 27 0.111







322 A 3 3 1. 27 0.111







323 A 3 3 1. 27 0.111







324 A 3 3 1. 27 0.111







325 A 3 3 1. 27 0.111







326 A 3 3 1. 27 0.111







327 A 2 2 1. 23 0.087







328 A 2 2 1. 23 0.087







329 A 2 2 1. 23 0.087







330 A 2 2 1. 21 0.095







331 A 2 2 1. 23 0.087







332 A 2 2 1. 23 0.087







333 A 2 2 1. 23 0.087







334 A 2 2 1. 23 0.087







335 A 3 3 1. 25 0.12







336 A 3 3 1. 25 0.12







337 A 3 3 1. 25 0.12







338 A 3 3 1. 25 0.12







339 A 3 3 1. 25 0.12







340 A 3 3 1. 25 0.12







341 A 3 3 1. 25 0.12







342 A 3 3 1. 23 0.13







343 A 3 2 1. 21 0.095







344 A 3 2 1. 21 0.095







345 A 3 2 1. 21 0.095







346 A 2 2 1. 19 0.105







347 A 2 2 1. 19 0.105







348 A 2 2 1. 21 0.095







349 A 2 2 1. 21 0.095







350 A 3 3 1. 21 0.143







351 A 3 3 1. 21 0.143







352 A 3 3 1. 21 0.143







353 A 3 3 1. 21 0.143







354 A 3 3 1. 25 0.12







355 A 3 3 1. 25 0.12







356 A 3 3 1. 25 0.12







357 A 3 3 1. 25 0.12







358 A 3 3 1. 25 0.12







359 A 3 3 1. 25 0.12







360 A 4 2 1. 27 0.074







361 A 3 2 1. 27 0.074







362 A 2 2 1. 27 0.074







363 A 1 1 1. 27 0.037







364 A 3 3 1. 25 0.12







365 A 3 3 1. 27 0.111







366 A 3 3 1. 27 0.111







367 A 3 2 1. 27 0.074







368 A 2 2 1. 27 0.074







369 A 1 1 1. 27 0.037







370 A 3 3 1. 27 0.111







371 A 3 3 1. 27 0.111







372 A 4 4 1. 27 0.148







373 A 4 4 1. 27 0.148







374 A 4 4 1. 25 0.16







375 A 4 4 1. 27 0.148







376 A 4 3 1. 19 0.158







377 A 3 2 1. 19 0.105







378 A 2 1 1.27 17 0.059







379 A 4 3 1. 17 0.176







380 A 3 3 1. 19 0.158







381 A 4 4 1. 19 0.21







382 A 4 3 1. 19 0.158







383 A 3 3 1. 19 0.158







384 A 3 3 1. 19 0.158







385 A 3 2 1. 19 0.105







386 A 3 2 1. 19 0.105







387 A 4 3 1. 21 0.143







388 A 3 2 1. 21 0.095







389 A 2 2 1. 19 0.105







390 A 6 4 1. 19 0.21







391 A 3 3 1. 21 0.143







392 A 4 4 1. 21 0.19







393 A 6 4 1. 21 0.19







394 A 5 4 1. 21 0.19







395 A 4 4 1. 21 0.19







396 A 3 2 1. 21 0.095







397 A 4 4 1. 21 0.19







398 A 4 3 1. 21 0.143







399 A 4 3 1. 21 0.143







400 A 3 2 1. 21 0.095







401 A 3 2 1. 21 0.095







402 A 2 2 1. 19 0.105







403 A 6 4 1. 19 0.21







404 A 6 5 1. 21 0.238







405 A 4 4 1. 21 0.19







406 A 6 5 1. 21 0.238







407 A 5 5 1. 21 0.238







408 A 2 2 1. 21 0.095







409 A 5 5 1. 21 0.238







410 A 5 5 1. 21 0.238







411 A 5 4 1. 21 0.19







412 A 5 4 1. 21 0.19







413 A 3 2 1. 21 0.095







414 A 3 2 1. 21 0.095







415 A 2 2 1. 19 0.105







416 A 6 4 1. 19 0.21







417 A 7 5 1. 21 0.238







418 A 8 6 1. 21 0.286







419 A 10 5 1. 21 0.238







420 A 7 3 1. 21 0.143







421 A 7 4 1. 21 0.19







422 A 7 4 1. 21 0.19







423 A 7 4 1. 21 0.19







424 A 10 6 1. 21 0.286







425 A 3 2 1. 21 0.095







426 A 3 2 1. 21 0.095







427 A 2 2 1. 19 0.105







428 A 6 4 1. 19 0.21







429 A 4 3 1. 21 0.143







430 A 5 4 1. 21 0.19







431 A 7 6 1. 21 0.286







432 A 6 6 1. 21 0.286







433 A 5 5 1. 21 0.238







434 A 5 5 1. 21 0.238







435 A 6 6 1. 21 0.286







436 A 7 6 1. 21 0.286







437 A 3 2 1. 21 0.095







438 A 3 2 1. 21 0.095







439 A 3 2 1. 21 0.095







440 A 2 2 1. 19 0.105







441 A 4 3 1. 19 0.158







442 A 4 3 1. 21 0.143







443 A 5 4 1. 21 0.19







444 A 7 6 1. 21 0.286







445 A 6 6 1. 21 0.286







446 A 5 5 1. 21 0.238







447 A 6 6 1. 21 0.286







448 A 7 6 1. 21 0.286







449 A 3 2 1. 21 0.095







450 A 3 2 1. 21 0.095







451 A 3 2 1. 21 0.095







452 A 2 2 1. 19 0.105







453 A 4 3 1. 19 0.158







454 A 4 3 1. 21 0.143







455 A 5 4 1. 21 0.19







456 A 7 7 1. 21 0.333







457 A 6 6 1. 21 0.286







458 A 6 6 1. 21 0.286







459 A 7 7 1. 21 0.333







460 A 8 7 1. 21 0.333







461 A 3 2 1. 21 0.095







462 A 3 2 1. 21 0.095







463 A 3 2 1. 21 0.095







464 A 2 2 1. 19 0.105







465 A 4 3 1. 19 0.158







466 A 4 3 1. 21 0.143







467 A 11 7 1. 21 0.333







468 A 11 7 1. 21 0.333







469 A 11 7 1. 21 0.333







470 A 11 6 1. 21 0.286







471 A 12 7 1. 21 0.333







472 A 13 7 1. 21 0.333







473 A 3 2 1. 23 0.087







474 A 3 2 1. 23 0.087







475 A 2 2 1. 21 0.095







476 A 5 4 1. 21 0.19







477 A 6 5 1. 23 0.217







478 A 7 6 1. 23 0.261







479 A 8 8 1. 23 0.348







480 A 7 7 1. 23 0.304







481 A 7 7 1. 23 0.304







482 A 7 7 1. 23 0.304







483 A 3 2 1. 23 0.087







484 A 3 2 1. 23 0.087







485 A 2 2 1. 21 0.095







486 A 6 5 1. 21 0.238







487 A 6 5 1. 23 0.217







488 A 7 6 1. 23 0.261







489 A 8 7 1. 23 0.304







490 A 7 7 1. 23 0.304







491 A 6 6 1. 23 0.261







492 A 7 7 1. 23 0.304







493 A 8 7 1. 23 0.304







494 A 3 2 1. 23 0.087







495 A 3 2 1. 23 0.087







496 A 2 2 1. 21 0.095







497 A 7 6 1. 21 0.286







498 A 7 6 1. 23 0.261







499 A 7 6 1. 23 0.261







500 A 9 8 1. 23 0.348







501 A 8 8 1. 23 0.348







502 A 7 7 1. 23 0.304







503 A 7 7 1. 23 0.304







504 A 8 8 1. 23 0.348







505 A 9 8 1. 23 0.348







506 A 3 2 1. 23 0.087







507 A 3 2 1. 23 0.087







508 A 2 2 1. 21 0.095







509 A 5 4 1. 21 0.19







510 A 6 5 1. 23 0.217







511 A 7 6 1. 23 0.261







512 A 7 7 1. 23 0.304







513 A 6 6 1. 23 0.261







514 A 6 6 1. 23 0.261







515 A 7 7 1. 23 0.304







516 A 3 2 1. 23 0.087







517 A 3 2 1. 23 0.087







518 A 2 2 1. 21 0.095







519 A 6 5 1. 21 0.238







520 A 7 6 1. 23 0.261







521 A 8 7 1. 23 0.304







522 A 8 7 1. 23 0.304







523 A 7 7 1. 23 0.304







524 A 6 6 1. 23 0.261







525 A 7 7 1. 23 0.304







526 A 8 7 1. 23 0.304







527 A 3 2 1. 23 0.087







528 A 3 2 1. 23 0.087







529 A 2 2 1. 21 0.095







530 A 7 6 1. 21 0.286







531 A 8 6 1. 23 0.261







532 A 9 7 1. 23 0.304







533 A 9 8 1. 23 0.348







534 A 8 8 1. 23 0.348







535 A 7 7 1. 23 0.304







536 A 7 7 1. 23 0.304







537 A 8 8 1. 23 0.348







538 A 9 8 1. 23 0.348







539 A 5 4 1. 23 0.174







540 A 4 4 1. 23 0.174







541 A 4 4 1. 23 0.174







542 A 3 3 1. 23 0.13







543 A 3 3 1. 23 0.13







544 A 4 4 1. 23 0.174







545 A 4 4 1. 23 0.174







546 A 5 4 1. 23 0.174







547 A 6 5 1. 25 0.2







548 A 5 5 1. 25 0.2







549 A 5 5 1. 25 0.2







550 A 4 4 1. 25 0.16







551 A 4 4 1. 25 0.16







552 A 4 4 1. 25 0.16







553 A 4 4 1. 25 0.16







554 A 5 5 1. 25 0.2







555 A 7 6 1. 25 0.24







556 A 6 6 1. 25 0.24







557 A 6 6 1. 25 0.24







558 A 5 5 1. 25 0.2







559 A 5 5 1. 25 0.2







560 A 5 5 1. 25 0.2







561 A 5 5 1. 25 0.2







562 A 5 5 1. 25 0.2







563 A 5 5 1. 25 0.2







564 A 8 6 1. 25 0.24







565 A 7 6 1. 25 0.24







566 A 7 6 1. 25 0.24







567 A 6 5 1. 25 0.2







568 A 6 5 1. 25 0.2







569 A 6 5 1. 25 0.2







570 A 6 5 1. 25 0.2







571 A 6 6 1. 25 0.24







572 A 6 6 1. 25 0.24







573 A 6 5 1. 25 0.2







574 A 15 12 1. 25 0.48







575 A 14 12 1. 25 0.48







576 A 14 12 1. 25 0.48







577 A 13 11 1. 25 0.44







578 A 13 11 1. 25 0.44







579 A 9 7 1. 25 0.28







580 A 9 7 1. 25 0.28







581 A 13 11 1. 25 0.44







582 A 13 11 1. 25 0.44







583 A 14 12 1. 25 0.48







584 A 15 12 1. 25 0.48







585 A 14 12 1. 25 0.48







586 A 14 12 1. 25 0.48







587 A 13 11 1. 25 0.44







588 A 13 11 1. 25 0.44







589 A 13 11 1. 25 0.44







590 A 13 11 1. 25 0.44







591 A 14 12 1. 25 0.48







592 A 14 12 1. 25 0.48







593 A 15 12 1. 25 0.48







594 A 15 13 1. 25 0.52







595 A 15 13 1. 25 0.52







596 A 14 12 1. 25 0.48







597 A 14 12 1. 25 0.48







598 A 14 12 1. 25 0.48







599 A 14 12 1. 25 0.48







600 A 14 12 1. 25 0.48







601 A 14 12 1. 25 0.48







602 A 15 13 1. 25 0.52







603 A 15 13 1. 25 0.52







604 A 16 13 1. 25 0.52







605 A 16 13 1. 25 0.52







606 A 15 12 1. 25 0.48







607 A 15 12 1. 25 0.48







608 A 15 13 1. 25 0.52







609 A 15 13 1. 25 0.52







610 A 15 12 1. 25 0.48







611 A 15 12 1. 25 0.48







612 A 15 12 1. 25 0.48







613 A 15 12 1. 25 0.48







614 A 16 13 1. 25 0.52







615 B 2 2 2.04 27 0.074







616 A 4 4 1. 23 0.174







617 A 3 3 1. 23 0.13







618 A 2 2 1. 21 0.095







619 A 1 1 1. 23 0.043







620 A 1 1 1. 23 0.043







621 A 1 1 1. 23 0.043







622 A 1 1 1. 23 0.043







623 A 2 2 1. 25 0.08







624 A 2 2 1. 25 0.08







625 A 2 2 1. 25 0.08







626 A 2 2 1. 25 0.08







627 A 2 2 1. 25 0.08







628 A 2 2 1. 25 0.08







629 A 2 2 1. 23 0.087







630 A 3 2 1. 21 0.095







631 A 3 2 1. 21 0.095







632 A 3 2 1. 21 0.095







633 A 2 2 1. 19 0.105







634 A 5 3 1. 19 0.158







635 A 6 4 1. 21 0.19







636 A 7 5 1. 21 0.238







637 A 2 2 1. 21 0.095







638 A 2 2 1. 21 0.095







639 A 2 2 1. 21 0.095







640 A 2 2 1. 21 0.095







641 A 2 2 1. 25 0.08







642 A 2 2 1. 25 0.08







643 A 2 2 1. 25 0.08







644 A 2 2 1. 25 0.08







645 A 2 2 1. 25 0.08







646 A 2 2 1. 25 0.08







647 A 9 7 1. 27 0.259







648 A 5 5 1.35 27 0.185







649 A 3 3 1. 27 0.111







650 A 1 1 1. 27 0.037







651 A 2 2 1. 25 0.08







652 A 2 2 1. 27 0.074







653 A 2 2 1. 27 0.074