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, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 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, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664 }

B grade: { 154 }

C grade: { 176, 478 }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 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, 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, 133, 134, 135, 136, 137, 138, 139, 140, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 174, 183, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 234, 235, 236, 237, 238, 239, 240, 241, 242, 248, 249, 253, 254, 255, 256, 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, 310, 311, 312, 313, 314, 315, 328, 330, 332, 339, 342, 345, 348, 349, 350, 352, 355, 368, 369, 370, 371, 372, 373, 374, 376, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 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, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 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, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 562, 563, 564, 565, 566, 567, 572, 579, 582, 583, 584, 585, 586, 587, 588, 593, 596, 597, 598, 599, 604, 606, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 663 }

B grade: { 61, 154, 196, 197, 198, 199, 200, 214, 215, 216, 217, 218, 232, 233, 243, 244, 245, 246, 247, 252, 568, 569, 570, 571, 573, 574, 575, 576, 577, 578, 580, 581, 589, 590, 591, 592, 594, 595, 600, 601, 602, 603, 605, 607, 608, 609, 610, 611, 612, 664 }

C grade: { 132, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 170, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 184, 250, 251, 257, 258, 309, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 329, 331, 333, 334, 335, 336, 337, 338, 340, 341, 343, 344, 346, 347, 351, 353, 354, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 375, 377, 378, 379, 380, 381, 382, 383, 384, 385, 409, 410, 411, 457, 458, 478, 500, 501, 502, 503, 504, 505, 546, 547, 559, 560, 561 }

F grade: { 661, 662}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 111, 113, 114, 117, 118, 119, 120, 125, 126, 127, 130, 138, 139, 140, 141, 142, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 174, 177, 180, 183, 237, 238, 249, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 310, 312, 313, 314, 315, 316, 317, 318, 328, 329, 330, 331, 332, 333, 335, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 368, 370, 372, 373, 374, 376, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 424, 425, 426, 427, 436, 437, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 455, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 502, 503, 508, 509, 510, 511, 512, 513, 514, 516, 517, 518, 519, 520, 521, 523, 524, 525, 526, 527, 528, 533, 540, 544, 572, 579 }

B grade: { 61, 82, 107, 109, 110, 112, 115, 116, 154, 248, 311, 334, 336, 369, 371, 375, 377, 409, 411, 422, 423, 428, 429, 430, 431, 432, 433, 434, 435, 438, 439, 449, 450, 456, 549, 550, 551, 552, 553, 554, 555, 565, 607, 608, 609, 610, 611, 612, 663, 664 }

C grade: { 143, 144, 145, 146, 147, 148, 149, 150, 170, 172, 173, 175, 176, 178, 179, 181, 182, 184, 319, 320, 321, 322, 323, 324, 325, 326, 358, 359, 360, 361, 362, 363, 364, 365, 366, 378, 379, 380, 381, 382, 383, 384, 457, 458, 500, 501, 504, 505, 515, 522, 548, 556, 557, 558, 559, 560, 561, 596, 597, 598, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660 }

F grade: { 121, 122, 123, 124, 128, 129, 131, 132, 133, 134, 135, 136, 137, 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, 239, 240, 241, 242, 243, 244, 245, 246, 247, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 290, 309, 327, 347, 367, 385, 472, 473, 474, 475, 476, 477, 478, 506, 507, 529, 530, 531, 532, 534, 535, 536, 537, 538, 539, 541, 542, 543, 545, 546, 547, 562, 563, 564, 566, 567, 568, 569, 570, 571, 573, 574, 575, 576, 577, 578, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 599, 600, 601, 602, 603, 604, 605, 606, 661, 662 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 51, 53, 54, 56, 57, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 86, 87, 91, 100, 108, 111, 118, 119, 120, 125, 126, 127, 130, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 174, 177, 180, 183, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 348, 350, 352, 354, 356, 368, 370, 372, 374, 376, 386, 387, 388, 390, 392, 393, 394, 395, 405, 406, 407, 408, 409, 410, 440, 441, 442, 443, 444, 445, 446, 447, 448, 455, 460, 461, 466, 467, 468, 469, 470, 471, 473, 474, 475, 479, 480, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 506, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 533, 540, 548

B grade: { 154, 389, 391, 607, 608, 609, 610, 611, 612, 663, 664 }

C grade: { }

F grade: { 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 109, 110, 112, 113, 114, 115, 116, 117, 121, 122, 123, 124, 128, 129, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 170, 172, 173, 175, 176, 178, 179, 181, 182, 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, 290, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 349, 351, 353, 355, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 369, 371, 373, 375, 377, 378, 379, 380, 381, 382, 383, 384, 385, 396, 397, 398, 399, 400, 401, 402, 403, 404, 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, 449, 450, 451, 452, 453, 454, 456, 457, 458, 459, 462, 463, 464, 465, 472, 476, 477, 478, 481, 500, 501, 502, 503, 504, 505, 507, 529, 530, 531, 532, 534, 535, 536, 537, 538, 539, 541, 542, 543, 544, 545, 546, 547, 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, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 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, 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, 125, 126, 127, 130, 138, 139, 140, 141, 142, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 174, 177, 180, 183, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 234, 235, 236, 237, 238, 240, 241, 242, 249, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 294, 296, 298, 310, 312, 314, 316, 318, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 348, 349, 350, 352, 354, 355, 356, 359, 362, 365, 368, 370, 374, 376, 386, 388, 392, 394, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 455, 460, 462, 463, 464, 465, 466, 467, 468, 469, 473, 474, 475, 478, 479, 491, 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, 533, 540, 543, 544, 545, 546, 547, 548, 549, 550, 551, 553, 554, 555, 565, 572, 579, 586, 616, 617, 639, 641, 642 }

B grade: { 82, 143, 144, 145, 146, 147, 148, 149, 150, 154, 170, 172, 173, 175, 176, 178, 179, 181, 182, 184, 239, 248, 293, 295, 297, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 311, 313, 315, 317, 319, 320, 321, 322, 323, 324, 325, 326, 344, 346, 351, 353, 357, 358, 360, 361, 363, 364, 366, 369, 371, 372, 373, 375, 377, 378, 379, 380, 381, 382, 383, 384, 387, 389, 390, 391, 393, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 454, 456, 457, 458, 470, 471, 552, 556, 557, 558, 559, 560, 561, 593, 596, 597, 598, 607, 608, 609, 610, 611, 612, 613, 614, 615, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 640, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 663, 664 }

C grade: { }

F grade: { 121, 122, 123, 124, 128, 129, 131, 132, 133, 134, 135, 136, 137, 196, 197, 198, 199, 200, 214, 215, 216, 217, 218, 229, 230, 231, 232, 233, 243, 244, 245, 246, 247, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 290, 309, 327, 347, 367, 385, 459, 461, 472, 476, 477, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 492, 529, 530, 531, 532, 534, 535, 536, 537, 538, 539, 541, 542, 562, 563, 564, 566, 567, 568, 569, 570, 571, 573, 574, 575, 576, 577, 578, 580, 581, 582, 583, 584, 585, 587, 588, 589, 590, 591, 592, 594, 595, 599, 600, 601, 602, 603, 604, 605, 606, 661, 662 }

2.1.6 Sympy

A grade: { 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 89, 90, 91, 92, 93, 94, 95, 96, 97, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 248, 249, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 311, 313, 315, 317, 319, 320, 321, 322, 323, 324, 325, 326, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 339, 342, 345, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 386, 388, 390, 392, 394, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 440, 441, 442, 443, 444, 445, 446, 447, 448, 456, 457, 458, 460, 493, 494, 495, 496, 498, 613, 615, 618, 620, 638, 640, 643, 645 }

B grade: { 138, 139, 140, 141, 142, 310, 312, 314, 316, 387, 389, 391, 393, 395, 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, 607, 608, 609, 610, 611, 612, 614, 616, 617, 619, 621, 622, 623, 624, 625, 626, 639, 641, 642, 644, 646, 647, 648, 649, 663, 664 }

C grade: { 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 338, 340, 341, 343, 344, 346 }

F grade: { 1, 2, 3, 4, 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, 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, 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, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 290, 309, 318, 327, 347, 367, 385, 449, 450, 451, 452, 453, 454, 455, 459, 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, 497, 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, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662 }

2.1.7 Giac

A grade: { 1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 120, 126, 127, 130, 138, 139, 140, 141, 142, 151, 152, 153, 155, 156, 157, 171, 174, 177, 180, 183, 188, 189, 204, 205, 222, 223, 237, 238, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 310, 312, 314, 316, 318, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 339, 342, 345, 348, 350, 352, 354, 356, 358, 359, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 386, 387, 388, 390, 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, 455, 460, 461, 462, 463, 464, 465, 466, 467, 475, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 496, 515, 516, 517, 518, 523, 524, 525, 552, 619, 628, 637, 663, 664 }

B grade: { 45, 61, 82, 118, 119, 125, 154, 170, 172, 173, 175, 176, 178, 179, 181, 248, 249, 349, 351, 355, 357, 389, 391, 473, 474, 522, 597, 598, 607, 608, 609, 610, 611, 612, 614, 616, 622, 624, 626, 631, 633, 635, 639, 641, 644, 647, 649, 650, 652, 655, 657, 658, 660 }

C grade: { 311, 313, 315, 317, 456, 618, 643 }

F grade: { 3, 4, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 121, 122, 123, 124, 128, 129, 131, 132, 133, 134, 135, 136, 137, 143, 144, 145, 146, 147, 148, 149, 150, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 182, 184, 185, 186, 187, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 239, 240, 241, 242, 243, 244, 245, 246, 247, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 290, 309, 319, 320, 321, 322, 323, 324, 325, 326, 327, 338, 340, 341, 343, 344, 346, 347, 353, 367, 385, 449, 450, 451, 452, 453, 454, 457, 458, 459, 468, 469, 470, 471, 472, 476, 477, 478, 479, 493, 494, 495, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 519, 520, 521, 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, 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, 599, 600, 601, 602, 603, 604, 605, 606, 613, 615, 617, 620, 621, 623, 625, 627, 629, 630, 632, 634, 636, 638, 640, 642, 645, 646, 648, 651, 653, 654, 656, 659, 661, 662 }

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 F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 42 39 62 117 0 107
normalized size 1 1. 0.81 0.75 1.19 2.25 0. 2.06
time (sec) N/A 0.048 0.025 0.029 1.022 2.205 0. 1.147


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 29 19 63 0 19
normalized size 1 1. 1. 1.16 0.76 2.52 0. 0.76
time (sec) N/A 0.005 0.008 0.004 1.001 1.968 0. 1.112


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 27 23 43 0 0
normalized size 1 1. 1. 1.17 1. 1.87 0. 0.
time (sec) N/A 0.005 0.008 0.005 1.1 1.998 0. 0.


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 46 46 51 107 0 0
normalized size 1 1. 0.6 0.6 0.66 1.39 0. 0.
time (sec) N/A 0.057 0.013 0.006 1.044 1.992 0. 0.


















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 48 48 48 38 50 138 48 51
normalized size 1 1. 1. 0.79 1.04 2.88 1. 1.06
time (sec) N/A 0.023 0.016 0.029 1.445 1.939 0.135 1.104


















Problem 6 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 79 79 39 36 0 31 12 31
normalized size 1 1. 0.49 0.46 0. 0.39 0.15 0.39
time (sec) N/A 0.023 0.014 0.004 0. 1.772 0.102 1.12


















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 79 79 39 36 18 31 12 39
normalized size 1 1. 0.49 0.46 0.23 0.39 0.15 0.49
time (sec) N/A 0.023 0.008 0.004 1.126 1.701 0.101 1.131


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 39 36 18 31 12 39
normalized size 1 1. 0.49 0.46 0.23 0.39 0.15 0.49
time (sec) N/A 0.024 0.007 0.003 1.085 1.715 0.099 1.108


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 38 35 0 31 12 30
normalized size 1 1. 1.06 0.97 0. 0.86 0.33 0.83
time (sec) N/A 0.028 0.009 0.003 0. 1.676 0.1 1.12


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 39 36 18 31 12 39
normalized size 1 1. 0.49 0.46 0.23 0.39 0.15 0.49
time (sec) N/A 0.018 0.009 0.008 1.17 1.625 0.099 1.109


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 36 33 14 23 8 27
normalized size 1 1. 0.49 0.45 0.19 0.31 0.11 0.36
time (sec) N/A 0.012 0.007 0.003 1.022 1.709 0.096 1.102


















Problem 12 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 75 75 37 34 0 30 10 38
normalized size 1 1. 0.49 0.45 0. 0.4 0.13 0.51
time (sec) N/A 0.02 0.011 0.053 0. 1.75 0.116 1.104


















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 77 77 38 36 19 28 8 39
normalized size 1 1. 0.49 0.47 0.25 0.36 0.1 0.51
time (sec) N/A 0.021 0.01 0.003 1.011 1.779 0.266 1.113


















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 74 74 37 34 20 31 8 35
normalized size 1 1. 0.5 0.46 0.27 0.42 0.11 0.47
time (sec) N/A 0.02 0.008 0.003 1.018 1.738 0.274 1.101


















Problem 15 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 75 75 39 38 0 41 10 58
normalized size 1 1. 0.52 0.51 0. 0.55 0.13 0.77
time (sec) N/A 0.021 0.011 0.008 0. 1.72 0.297 1.108


















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 77 77 37 34 18 32 14 41
normalized size 1 1. 0.48 0.44 0.23 0.42 0.18 0.53
time (sec) N/A 0.021 0.008 0.004 1.026 1.805 0.308 1.134


















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 79 79 39 36 20 36 15 42
normalized size 1 1. 0.49 0.46 0.25 0.46 0.19 0.53
time (sec) N/A 0.022 0.008 0.003 1.032 1.735 0.311 1.102


















Problem 18 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 79 79 37 34 0 32 14 41
normalized size 1 1. 0.47 0.43 0. 0.41 0.18 0.52
time (sec) N/A 0.022 0.008 0.003 0. 1.642 0.317 1.118


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 39 36 20 36 15 42
normalized size 1 1. 0.49 0.46 0.25 0.46 0.19 0.53
time (sec) N/A 0.022 0.008 0.003 1.013 1.723 0.328 1.115


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 39 36 20 36 15 42
normalized size 1 1. 0.49 0.46 0.25 0.46 0.19 0.53
time (sec) N/A 0.021 0.008 0.003 1.06 1.713 0.332 1.121


















Problem 21 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 79 79 39 36 0 36 15 42
normalized size 1 1. 0.49 0.46 0. 0.46 0.19 0.53
time (sec) N/A 0.022 0.008 0.003 0. 1.676 0.342 1.094


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 39 36 20 39 15 42
normalized size 1 1. 0.49 0.46 0.25 0.49 0.19 0.53
time (sec) N/A 0.022 0.008 0.003 1.019 1.799 0.348 1.127


















Problem 23 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 167 167 61 58 47 90 0 90
normalized size 1 1. 0.37 0.35 0.28 0.54 0. 0.54
time (sec) N/A 0.043 0.02 0.006 1.021 1.658 0. 1.127


















Problem 24 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 119 167 61 58 0 85 0 90
normalized size 1 1.4 0.51 0.49 0. 0.71 0. 0.76
time (sec) N/A 0.053 0.018 0.007 0. 1.722 0. 1.115


















Problem 25 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 167 167 61 58 47 88 0 90
normalized size 1 1. 0.37 0.35 0.28 0.53 0. 0.54
time (sec) N/A 0.043 0.018 0.006 1.034 1.724 0. 1.097


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 61 58 47 88 0 90
normalized size 1 1. 0.37 0.35 0.28 0.53 0. 0.54
time (sec) N/A 0.041 0.016 0.006 1.059 1.778 0. 1.109


















Problem 27 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 78 78 61 58 0 84 0 61
normalized size 1 1. 0.78 0.74 0. 1.08 0. 0.78
time (sec) N/A 0.05 0.019 0.006 0. 1.653 0. 1.096


















Problem 28 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 167 167 61 58 47 85 0 90
normalized size 1 1. 0.37 0.35 0.28 0.51 0. 0.54
time (sec) N/A 0.041 0.016 0.005 1.011 1.705 0. 1.102


















Problem 29 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 167 167 61 58 47 85 0 90
normalized size 1 1. 0.37 0.35 0.28 0.51 0. 0.54
time (sec) N/A 0.041 0.017 0.004 1.022 1.715 0. 1.11


















Problem 30 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 36 36 60 57 0 82 0 59
normalized size 1 1. 1.67 1.58 0. 2.28 0. 1.64
time (sec) N/A 0.03 0.018 0.006 0. 1.677 0. 1.112


















Problem 31 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 167 167 61 58 47 82 0 90
normalized size 1 1. 0.37 0.35 0.28 0.49 0. 0.54
time (sec) N/A 0.038 0.016 0.004 1.021 1.784 0. 1.102


















Problem 32 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 162 162 59 56 43 74 0 86
normalized size 1 1. 0.36 0.35 0.27 0.46 0. 0.53
time (sec) N/A 0.033 0.015 0.003 1.054 1.81 0. 1.122


















Problem 33 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 160 160 60 57 0 73 0 88
normalized size 1 1. 0.38 0.36 0. 0.46 0. 0.55
time (sec) N/A 0.048 0.021 0.007 0. 1.768 0. 1.122


















Problem 34 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 165 165 61 58 50 80 0 90
normalized size 1 1. 0.37 0.35 0.3 0.48 0. 0.55
time (sec) N/A 0.042 0.017 0.006 1.059 1.639 0. 1.115


















Problem 35 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 163 163 61 58 50 82 0 88
normalized size 1 1. 0.37 0.36 0.31 0.5 0. 0.54
time (sec) N/A 0.042 0.018 0.005 1.051 1.722 0. 1.115


















Problem 36 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 161 161 62 59 0 85 0 115
normalized size 1 1. 0.39 0.37 0. 0.53 0. 0.71
time (sec) N/A 0.048 0.022 0.012 0. 1.655 0. 1.124


















Problem 37 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 165 165 61 58 50 81 0 93
normalized size 1 1. 0.37 0.35 0.3 0.49 0. 0.56
time (sec) N/A 0.042 0.02 0.004 1.018 1.817 0. 1.124


















Problem 38 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 163 163 61 58 50 81 0 92
normalized size 1 1. 0.37 0.36 0.31 0.5 0. 0.56
time (sec) N/A 0.041 0.021 0.005 1.052 1.684 0. 1.126


















Problem 39 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 162 162 61 60 0 85 0 116
normalized size 1 1. 0.38 0.37 0. 0.52 0. 0.72
time (sec) N/A 0.047 0.017 0.012 0. 1.698 0. 1.123


















Problem 40 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 165 165 61 58 50 82 0 95
normalized size 1 1. 0.37 0.35 0.3 0.5 0. 0.58
time (sec) N/A 0.041 0.013 0.006 1.036 1.682 0. 1.125


















Problem 41 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 162 162 61 58 50 82 0 90
normalized size 1 1. 0.38 0.36 0.31 0.51 0. 0.56
time (sec) N/A 0.041 0.015 0.004 1.024 1.792 0. 1.118


















Problem 42 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 161 161 63 60 0 90 0 115
normalized size 1 1. 0.39 0.37 0. 0.56 0. 0.71
time (sec) N/A 0.046 0.022 0.011 0. 1.726 0. 1.115


















Problem 43 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 165 165 61 58 50 90 0 93
normalized size 1 1. 0.37 0.35 0.3 0.55 0. 0.56
time (sec) N/A 0.04 0.013 0.005 1.038 1.65 0. 1.146


















Problem 44 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 167 167 61 58 50 92 0 93
normalized size 1 1. 0.37 0.35 0.3 0.55 0. 0.56
time (sec) N/A 0.041 0.016 0.006 1.019 1.688 0. 1.134


















Problem 45 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 41 41 59 56 0 78 0 92
normalized size 1 1. 1.44 1.37 0. 1.9 0. 2.24
time (sec) N/A 0.018 0.013 0.008 0. 1.775 0. 1.087


















Problem 46 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 167 167 61 58 50 95 0 93
normalized size 1 1. 0.37 0.35 0.3 0.57 0. 0.56
time (sec) N/A 0.041 0.014 0.006 1.07 1.767 0. 1.124


















Problem 47 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 167 167 61 58 50 96 0 93
normalized size 1 1. 0.37 0.35 0.3 0.57 0. 0.56
time (sec) N/A 0.041 0.016 0.006 0.989 1.616 0. 1.113


















Problem 48 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 61 58 0 85 0 93
normalized size 1 1. 0.73 0.69 0. 1.01 0. 1.11
time (sec) N/A 0.04 0.014 0.007 0. 1.738 0. 1.117


















Problem 49 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 167 167 61 58 50 99 0 93
normalized size 1 1. 0.37 0.35 0.3 0.59 0. 0.56
time (sec) N/A 0.04 0.015 0.007 1.021 1.769 0. 1.098


















Problem 50 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 255 255 83 80 77 144 0 142
normalized size 1 1. 0.33 0.31 0.3 0.56 0. 0.56
time (sec) N/A 0.064 0.026 0.009 1.06 1.657 0. 1.101


















Problem 51 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 255 255 83 80 77 144 0 142
normalized size 1 1. 0.33 0.31 0.3 0.56 0. 0.56
time (sec) N/A 0.058 0.021 0.006 1.007 1.78 0. 1.105


















Problem 52 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 160 160 83 80 0 143 0 142
normalized size 1 1. 0.52 0.5 0. 0.89 0. 0.89
time (sec) N/A 0.12 0.022 0.008 0. 1.697 0. 1.097


















Problem 53 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 255 255 83 80 77 144 0 142
normalized size 1 1. 0.33 0.31 0.3 0.56 0. 0.56
time (sec) N/A 0.061 0.026 0.006 1.021 1.795 0. 1.127


















Problem 54 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 255 255 83 80 77 144 0 142
normalized size 1 1. 0.33 0.31 0.3 0.56 0. 0.56
time (sec) N/A 0.057 0.024 0.006 0.966 1.696 0. 1.124


















Problem 55 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 119 119 83 80 0 139 0 142
normalized size 1 1. 0.7 0.67 0. 1.17 0. 1.19
time (sec) N/A 0.09 0.024 0.009 0. 1.743 0. 1.123


















Problem 56 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 255 255 83 80 77 140 0 142
normalized size 1 1. 0.33 0.31 0.3 0.55 0. 0.56
time (sec) N/A 0.06 0.022 0.007 1.025 1.665 0. 1.095


















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 255 255 83 80 77 140 0 142
normalized size 1 1. 0.33 0.31 0.3 0.55 0. 0.56
time (sec) N/A 0.059 0.021 0.006 1.012 1.751 0. 1.094


















Problem 58 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 78 78 83 80 0 136 0 90
normalized size 1 1. 1.06 1.03 0. 1.74 0. 1.15
time (sec) N/A 0.056 0.021 0.007 0. 1.718 0. 1.118


















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 255 255 83 80 77 139 0 142
normalized size 1 1. 0.33 0.31 0.3 0.55 0. 0.56
time (sec) N/A 0.059 0.02 0.008 1.063 1.762 0. 1.111


















Problem 60 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 252 252 83 80 76 134 0 140
normalized size 1 1. 0.33 0.32 0.3 0.53 0. 0.56
time (sec) N/A 0.057 0.02 0.007 1.027 1.725 0. 1.114


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 82 79 0 135 0 89
normalized size 1 1. 2.28 2.19 0. 3.75 0. 2.47
time (sec) N/A 0.029 0.021 0.009 0. 1.707 0. 1.101


















Problem 62 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 252 252 83 80 76 132 0 140
normalized size 1 1. 0.33 0.32 0.3 0.52 0. 0.56
time (sec) N/A 0.054 0.02 0.004 1.016 1.752 0. 1.136


















Problem 63 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 247 247 81 78 72 123 0 136
normalized size 1 1. 0.33 0.32 0.29 0.5 0. 0.55
time (sec) N/A 0.051 0.021 0.004 1.027 1.765 0. 1.112


















Problem 64 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 251 251 82 79 0 134 0 140
normalized size 1 1. 0.33 0.31 0. 0.53 0. 0.56
time (sec) N/A 0.069 0.026 0.009 0. 1.636 0. 1.098


















Problem 65 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 251 251 83 80 80 138 0 142
normalized size 1 1. 0.33 0.32 0.32 0.55 0. 0.57
time (sec) N/A 0.061 0.021 0.006 1.182 1.715 0. 1.127


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 83 80 80 138 0 139
normalized size 1 1. 0.33 0.32 0.32 0.55 0. 0.55
time (sec) N/A 0.059 0.023 0.006 1.005 1.739 0. 1.121


















Problem 67 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 252 252 85 82 0 143 0 167
normalized size 1 1. 0.34 0.33 0. 0.57 0. 0.66
time (sec) N/A 0.074 0.026 0.011 0. 1.815 0. 1.11


















Problem 68 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 249 249 83 80 80 135 0 144
normalized size 1 1. 0.33 0.32 0.32 0.54 0. 0.58
time (sec) N/A 0.059 0.025 0.007 1.099 1.705 0. 1.131


















Problem 69 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 251 251 83 80 80 135 0 143
normalized size 1 1. 0.33 0.32 0.32 0.54 0. 0.57
time (sec) N/A 0.058 0.022 0.008 1.126 1.655 0. 1.111


















Problem 70 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 252 252 85 82 0 140 0 170
normalized size 1 1. 0.34 0.33 0. 0.56 0. 0.67
time (sec) N/A 0.073 0.024 0.012 0. 1.605 0. 1.133


















Problem 71 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 248 248 83 80 80 132 0 144
normalized size 1 1. 0.33 0.32 0.32 0.53 0. 0.58
time (sec) N/A 0.058 0.02 0.006 1.07 1.771 0. 1.104


















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 247 247 83 80 80 132 0 142
normalized size 1 1. 0.34 0.32 0.32 0.53 0. 0.57
time (sec) N/A 0.059 0.021 0.006 1.113 1.764 0. 1.142


















Problem 73 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 252 252 85 82 0 140 0 171
normalized size 1 1. 0.34 0.33 0. 0.56 0. 0.68
time (sec) N/A 0.071 0.028 0.011 0. 1.733 0. 1.126


















Problem 74 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 253 253 83 80 80 136 0 146
normalized size 1 1. 0.33 0.32 0.32 0.54 0. 0.58
time (sec) N/A 0.062 0.016 0.006 1.061 1.776 0. 1.118


















Problem 75 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 247 247 83 80 80 136 0 143
normalized size 1 1. 0.34 0.32 0.32 0.55 0. 0.58
time (sec) N/A 0.06 0.016 0.006 1.014 1.722 0. 1.142


















Problem 76 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 252 252 85 82 0 144 0 169
normalized size 1 1. 0.34 0.33 0. 0.57 0. 0.67
time (sec) N/A 0.071 0.02 0.013 0. 1.747 0. 1.146


















Problem 77 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 253 253 83 80 80 139 0 146
normalized size 1 1. 0.33 0.32 0.32 0.55 0. 0.58
time (sec) N/A 0.059 0.017 0.005 1.071 1.723 0. 1.126


















Problem 78 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 248 248 83 80 80 142 0 142
normalized size 1 1. 0.33 0.32 0.32 0.57 0. 0.57
time (sec) N/A 0.06 0.018 0.006 1.008 1.682 0. 1.12


















Problem 79 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 251 251 85 82 0 150 0 166
normalized size 1 1. 0.34 0.33 0. 0.6 0. 0.66
time (sec) N/A 0.069 0.027 0.012 0. 1.671 0. 1.114


















Problem 80 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 251 251 83 80 80 150 0 144
normalized size 1 1. 0.33 0.32 0.32 0.6 0. 0.57
time (sec) N/A 0.058 0.017 0.006 1.018 1.746 0. 1.104


















Problem 81 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 253 253 83 80 80 153 0 144
normalized size 1 1. 0.33 0.32 0.32 0.6 0. 0.57
time (sec) N/A 0.058 0.019 0.007 0.994 1.683 0. 1.123


















Problem 82 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 41 41 81 78 0 128 0 143
normalized size 1 1. 1.98 1.9 0. 3.12 0. 3.49
time (sec) N/A 0.018 0.016 0.005 0. 1.806 0. 1.121


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 253 83 80 80 159 0 144
normalized size 1 1. 0.33 0.32 0.32 0.63 0. 0.57
time (sec) N/A 0.061 0.019 0.007 1.025 1.788 0. 1.113


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 83 80 80 162 0 144
normalized size 1 1. 0.33 0.31 0.31 0.64 0. 0.56
time (sec) N/A 0.056 0.018 0.007 1.037 1.72 0. 1.114


















Problem 85 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 83 80 0 136 0 144
normalized size 1 1. 0.99 0.95 0. 1.62 0. 1.71
time (sec) N/A 0.04 0.017 0.009 0. 1.73 0. 1.113


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 83 80 80 165 0 144
normalized size 1 1. 0.33 0.31 0.31 0.65 0. 0.56
time (sec) N/A 0.058 0.017 0.007 1.005 1.655 0. 1.129


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 83 80 80 169 0 144
normalized size 1 1. 0.33 0.31 0.31 0.66 0. 0.56
time (sec) N/A 0.056 0.018 0.007 1.037 1.692 0. 1.126


















Problem 88 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 128 128 83 80 0 142 0 144
normalized size 1 1. 0.65 0.62 0. 1.11 0. 1.12
time (sec) N/A 0.057 0.02 0.007 0. 1.732 0. 1.117


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 131 113 0 298 32 197
normalized size 1 1. 0.55 0.47 0. 1.24 0.13 0.82
time (sec) N/A 0.124 0.046 0.009 0. 1.735 0.359 1.151


















Problem 90 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 235 235 128 110 0 254 22 193
normalized size 1 1. 0.54 0.47 0. 1.08 0.09 0.82
time (sec) N/A 0.114 0.031 0.007 0. 1.797 0.355 1.106


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 35 32 23 30 10 30
normalized size 1 1. 0.8 0.73 0.52 0.68 0.23 0.68
time (sec) N/A 0.035 0.008 0.007 1.071 1.598 0.168 1.129


















Problem 92 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 202 202 109 97 0 744 24 184
normalized size 1 1. 0.54 0.48 0. 3.68 0.12 0.91
time (sec) N/A 0.085 0.025 0.004 0. 1.913 0.174 1.125


















Problem 93 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 202 202 109 95 0 749 20 165
normalized size 1 1. 0.54 0.47 0. 3.71 0.1 0.82
time (sec) N/A 0.117 0.023 0.004 0. 1.745 0.182 1.121


















Problem 94 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 80 80 42 39 0 49 15 43
normalized size 1 1. 0.52 0.49 0. 0.61 0.19 0.54
time (sec) N/A 0.034 0.011 0.007 0. 1.882 0.262 1.124


















Problem 95 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 238 238 133 111 0 262 29 177
normalized size 1 1. 0.56 0.47 0. 1.1 0.12 0.74
time (sec) N/A 0.108 0.031 0.007 0. 1.831 0.384 1.114


















Problem 96 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 240 240 140 118 0 335 32 169
normalized size 1 1. 0.58 0.49 0. 1.4 0.13 0.7
time (sec) N/A 0.107 0.033 0.01 0. 1.839 0.416 1.105


















Problem 97 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 122 122 54 51 0 80 31 68
normalized size 1 1. 0.44 0.42 0. 0.66 0.25 0.56
time (sec) N/A 0.051 0.016 0.01 0. 1.733 0.531 1.129


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 235 299 0 1152 0 0
normalized size 1 1. 0.84 1.07 0. 4.11 0. 0.
time (sec) N/A 0.135 0.075 0.016 0. 1.823 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 235 297 0 1152 0 0
normalized size 1 1. 0.85 1.08 0. 4.17 0. 0.
time (sec) N/A 0.133 0.064 0.016 0. 1.888 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 27 24 24 51 0 0
normalized size 1 1. 0.71 0.63 0.63 1.34 0. 0.
time (sec) N/A 0.029 0.01 0.006 1.141 1.735 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 237 301 0 1164 0 0
normalized size 1 1. 0.86 1.09 0. 4.2 0. 0.
time (sec) N/A 0.14 0.071 0.009 0. 1.9 0. 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 235 299 0 1162 0 0
normalized size 1 1. 0.82 1.05 0. 4.06 0. 0.
time (sec) N/A 0.147 0.069 0.007 0. 1.875 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 74 107 0 196 0 0
normalized size 1 1. 0.5 0.73 0. 1.33 0. 0.
time (sec) N/A 0.083 0.028 0.02 0. 1.826 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 260 316 0 467 0 0
normalized size 1 1. 0.82 1. 0. 1.48 0. 0.
time (sec) N/A 0.16 0.085 0.016 0. 1.746 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 266 322 0 540 0 0
normalized size 1 1. 0.84 1.02 0. 1.71 0. 0.
time (sec) N/A 0.159 0.088 0.015 0. 1.771 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 97 133 0 247 0 0
normalized size 1 1. 0.52 0.71 0. 1.31 0. 0.
time (sec) N/A 0.097 0.034 0.02 0. 1.798 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 218 519 0 1632 0 0
normalized size 1 1. 0.61 1.45 0. 4.55 0. 0.
time (sec) N/A 0.185 0.126 0.017 0. 1.932 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 39 32 65 119 0 0
normalized size 1 1. 0.5 0.41 0.83 1.53 0. 0.
time (sec) N/A 0.053 0.016 0.007 1.028 1.684 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 368 368 229 521 0 1632 0 0
normalized size 1 1. 0.62 1.42 0. 4.43 0. 0.
time (sec) N/A 0.191 0.141 0.017 0. 1.841 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 221 519 0 1636 0 0
normalized size 1 1. 0.61 1.44 0. 4.54 0. 0.
time (sec) N/A 0.18 0.14 0.016 0. 1.856 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 27 24 24 97 0 0
normalized size 1 1. 0.71 0.63 0.63 2.55 0. 0.
time (sec) N/A 0.03 0.01 0.006 1.055 1.749 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 219 521 0 1651 0 0
normalized size 1 1. 0.61 1.45 0. 4.6 0. 0.
time (sec) N/A 0.193 0.12 0.008 0. 1.85 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 364 211 519 0 1652 0 0
normalized size 1 1. 0.58 1.43 0. 4.54 0. 0.
time (sec) N/A 0.199 0.114 0.01 0. 1.876 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 96 193 0 382 0 0
normalized size 1 1. 0.43 0.87 0. 1.71 0. 0.
time (sec) N/A 0.124 0.042 0.019 0. 1.551 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 398 398 242 536 0 724 0 0
normalized size 1 1. 0.61 1.35 0. 1.82 0. 0.
time (sec) N/A 0.216 0.13 0.02 0. 1.594 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 398 398 234 542 0 799 0 0
normalized size 1 1. 0.59 1.36 0. 2.01 0. 0.
time (sec) N/A 0.211 0.135 0.022 0. 1.575 0. 0.


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 119 219 0 446 0 0
normalized size 1 1. 0.44 0.81 0. 1.66 0. 0.
time (sec) N/A 0.143 0.052 0.02 0. 1.614 0. 0.


















Problem 118 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 313 313 111 453 328 886 0 1215
normalized size 1 1. 0.35 1.45 1.05 2.83 0. 3.88
time (sec) N/A 0.138 0.1 0.007 1.036 1.598 0. 1.201


















Problem 119 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 205 205 131 199 161 358 0 518
normalized size 1 1. 0.64 0.97 0.79 1.75 0. 2.53
time (sec) N/A 0.085 0.071 0.006 1.1 1.584 0. 1.127


















Problem 120 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 97 97 53 56 47 77 0 112
normalized size 1 1. 0.55 0.58 0.48 0.79 0. 1.15
time (sec) N/A 0.038 0.023 0.005 1.016 1.518 0. 1.124


















Problem 121 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 73 73 62 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.018 0.054 0. 0. 0. 0.


















Problem 122 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 73 73 60 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.02 0.022 0. 0. 0. 0.


















Problem 123 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 73 73 60 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.019 0.028 0. 0. 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 66 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.017 0.152 0. 0. 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 110 150 155 336 0 506
normalized size 1 1. 0.64 0.87 0.9 1.95 0. 2.94
time (sec) N/A 0.113 0.056 0.008 1.152 1.584 0. 1.132


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 77 96 107 223 0 317
normalized size 1 1. 0.59 0.74 0.82 1.72 0. 2.44
time (sec) N/A 0.079 0.033 0.007 1.029 1.622 0. 1.126


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 51 60 73 142 0 178
normalized size 1 1. 0.61 0.71 0.87 1.69 0. 2.12
time (sec) N/A 0.055 0.02 0.007 1.073 1.559 0. 1.12


















Problem 128 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 60 60 51 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.007 0.048 0. 0. 0. 0.


















Problem 129 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 60 60 51 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.006 0.034 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 32 40 41 80 0 78
normalized size 1 1. 0.78 0.98 1. 1.95 0. 1.9
time (sec) N/A 0.028 0.006 0.004 1.044 1.552 0. 1.115


















Problem 131 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 58 60 51 0 0 0 0 0
normalized size 1 1.03 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.006 0.026 0. 0. 0. 0.


















Problem 132 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 53 55 204 0 0 0 0 0
normalized size 1 1.04 3.85 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.167 0.013 0. 0. 0. 0.


















Problem 133 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 63 63 54 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.011 0.02 0. 0. 0. 0.


















Problem 134 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 58 58 49 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.006 0.033 0. 0. 0. 0.


















Problem 135 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 60 60 51 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.006 0.036 0. 0. 0. 0.


















Problem 136 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 64 64 55 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.011 0.039 0. 0. 0. 0.


















Problem 137 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 60 60 51 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.02 0.006 0.044 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 78 111 0 556 316 101
normalized size 1 1. 0.96 1.37 0. 6.86 3.9 1.25
time (sec) N/A 0.083 0.054 0.004 0. 1.598 2.305 1.411


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 60 0 443 223 80
normalized size 1 1. 0.98 0.95 0. 7.03 3.54 1.27
time (sec) N/A 0.058 0.023 0.003 0. 1.513 1.29 1.429


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 42 37 0 296 131 49
normalized size 1 1. 1.11 0.97 0. 7.79 3.45 1.29
time (sec) N/A 0.036 0.009 0.002 0. 1.473 0.632 1.395


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 66 66 0 510 253 89
normalized size 1 1. 0.96 0.96 0. 7.39 3.67 1.29
time (sec) N/A 0.07 0.023 0.006 0. 1.618 3.692 1.436


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 92 119 0 664 345 126
normalized size 1 1. 1.03 1.34 0. 7.46 3.88 1.42
time (sec) N/A 0.125 0.029 0.008 0. 1.877 80.389 1.414


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 636 636 70 61 0 12034 279 0
normalized size 1 1. 0.11 0.1 0. 18.92 0.44 0.
time (sec) N/A 1.249 0.03 0.089 0. 7.79 3.941 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 631 631 70 59 0 11169 196 0
normalized size 1 1. 0.11 0.09 0. 17.7 0.31 0.
time (sec) N/A 1.024 0.03 0.003 0. 5.375 2.661 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 44 43 0 8007 175 0
normalized size 1 1. 0.08 0.08 0. 14.35 0.31 0.
time (sec) N/A 0.52 0.017 0.003 0. 2.936 1.757 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 42 43 0 5501 122 0
normalized size 1 1. 0.08 0.08 0. 9.86 0.22 0.
time (sec) N/A 0.574 0.016 0.003 0. 1.991 1.897 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 43 41 0 6175 158 0
normalized size 1 1. 0.08 0.07 0. 11.07 0.28 0.
time (sec) N/A 0.472 0.018 0.002 0. 2.12 1.529 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 45 40 0 8374 155 0
normalized size 1 1. 0.08 0.07 0. 15.01 0.28 0.
time (sec) N/A 0.595 0.018 0.002 0. 2.948 2.825 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 610 610 71 61 0 11187 252 0
normalized size 1 1. 0.12 0.1 0. 18.34 0.41 0.
time (sec) N/A 0.818 0.031 0.006 0. 6.211 2.544 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 612 612 75 62 0 12411 241 0
normalized size 1 1. 0.12 0.1 0. 20.28 0.39 0.
time (sec) N/A 0.815 0.033 0.006 0. 5.721 5.786 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 28 36 77 29 39
normalized size 1 1. 1. 0.8 1.03 2.2 0.83 1.11
time (sec) N/A 0.024 0.006 0.005 1.226 1.419 0.121 1.095


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 23 30 63 22 32
normalized size 1 1. 1. 0.82 1.07 2.25 0.79 1.14
time (sec) N/A 0.019 0.005 0.003 1.184 1.477 0.128 1.113


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 18 23 50 15 26
normalized size 1 1. 1. 0.86 1.1 2.38 0.71 1.24
time (sec) N/A 0.014 0.004 0.004 1.307 1.482 0.116 1.092


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 21 21 18 23 51 15 26
normalized size 1 2.1 2.1 1.8 2.3 5.1 1.5 2.6
time (sec) N/A 0.014 0.004 0.004 1.388 1.461 0.112 1.091


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 31 31 69 20 32
normalized size 1 1. 1. 1.15 1.15 2.56 0.74 1.19
time (sec) N/A 0.019 0.006 0.013 1.195 1.439 0.143 1.157


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 36 38 96 29 49
normalized size 1 1. 1. 1.06 1.12 2.82 0.85 1.44
time (sec) N/A 0.032 0.007 0.008 1.162 1.422 0.17 1.102


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 41 47 109 34 55
normalized size 1 1. 1. 1. 1.15 2.66 0.83 1.34
time (sec) N/A 0.036 0.006 0.009 1.05 1.486 0.202 1.086


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 118 94 127 358 144 0
normalized size 1 1. 0.95 0.76 1.02 2.89 1.16 0.
time (sec) N/A 0.114 0.054 0.009 1.633 1.52 0.637 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 114 92 124 305 129 0
normalized size 1 1. 0.93 0.75 1.02 2.5 1.06 0.
time (sec) N/A 0.094 0.03 0.007 1.674 1.558 0.645 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 111 89 120 327 134 0
normalized size 1 1. 0.93 0.75 1.01 2.75 1.13 0.
time (sec) N/A 0.082 0.027 0.006 1.7 1.524 0.668 0.


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 111 85 115 331 126 0
normalized size 1 1. 0.98 0.75 1.02 2.93 1.12 0.
time (sec) N/A 0.074 0.026 0.005 1.63 1.434 0.625 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 107 84 113 392 134 0
normalized size 1 1. 0.96 0.75 1.01 3.5 1.2 0.
time (sec) N/A 0.068 0.038 0.007 1.627 1.515 0.62 0.


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 106 84 113 342 110 0
normalized size 1 1. 0.95 0.75 1.01 3.05 0.98 0.
time (sec) N/A 0.069 0.024 0.007 1.566 1.542 0.654 0.


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 108 84 113 289 119 0
normalized size 1 1. 0.96 0.75 1.01 2.58 1.06 0.
time (sec) N/A 0.069 0.038 0.007 1.656 1.499 1.31 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 107 84 113 450 124 0
normalized size 1 1. 0.96 0.75 1.01 4.02 1.11 0.
time (sec) N/A 0.065 0.026 0.006 1.68 1.51 1.37 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 118 89 120 409 139 0
normalized size 1 1. 0.99 0.75 1.01 3.44 1.17 0.
time (sec) N/A 0.082 0.044 0.008 1.674 1.495 1.283 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 113 89 120 378 128 0
normalized size 1 1. 0.95 0.75 1.01 3.18 1.08 0.
time (sec) N/A 0.078 0.056 0.007 1.618 1.489 1.302 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 118 94 130 339 141 0
normalized size 1 1. 0.94 0.75 1.03 2.69 1.12 0.
time (sec) N/A 0.103 0.051 0.008 1.608 1.474 1.305 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 118 94 130 510 136 0
normalized size 1 1. 0.94 0.75 1.03 4.05 1.08 0.
time (sec) N/A 0.099 0.061 0.01 1.698 1.523 1.285 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 412 412 59 44 0 3906 26 861
normalized size 1 1. 0.14 0.11 0. 9.48 0.06 2.09
time (sec) N/A 0.428 0.014 0.008 0. 1.875 0.177 1.195


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 33 43 95 37 43
normalized size 1 1. 1. 0.85 1.1 2.44 0.95 1.1
time (sec) N/A 0.035 0.01 0.003 1.598 1.436 0.13 1.091


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 41 40 0 5936 26 1112
normalized size 1 1. 0.1 0.1 0. 14.44 0.06 2.71
time (sec) N/A 0.281 0.01 0.004 0. 2.302 0.18 1.181


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 39 40 0 3903 24 860
normalized size 1 1. 0.09 0.1 0. 9.5 0.06 2.09
time (sec) N/A 0.278 0.009 0.004 0. 1.911 0.179 1.151


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 19 24 61 27 24
normalized size 1 1. 1. 0.83 1.04 2.65 1.17 1.04
time (sec) N/A 0.023 0.006 0.001 1.701 1.45 0.124 1.14


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 375 40 38 0 5936 26 1096
normalized size 1 1. 0.11 0.1 0. 15.83 0.07 2.92
time (sec) N/A 0.25 0.009 0.004 0. 2.356 0.173 1.162


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 375 42 37 0 3900 20 849
normalized size 1 2.02 0.23 0.2 0. 20.97 0.11 4.56
time (sec) N/A 0.242 0.01 0.005 0. 1.894 0.18 1.174


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 55 35 51 107 41 47
normalized size 1 1. 1.34 0.85 1.24 2.61 1. 1.15
time (sec) N/A 0.039 0.012 0.004 1.612 1.506 0.149 1.113


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 61 50 0 5952 24 1115
normalized size 1 1. 0.15 0.12 0. 14.31 0.06 2.68
time (sec) N/A 0.3 0.012 0.007 0. 2.266 0.205 1.165


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 418 65 50 0 3947 31 867
normalized size 1 1. 0.16 0.12 0. 9.44 0.07 2.07
time (sec) N/A 0.342 0.013 0.007 0. 1.942 0.207 1.194


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 51 40 58 143 48 61
normalized size 1 1. 1.06 0.83 1.21 2.98 1. 1.27
time (sec) N/A 0.052 0.014 0.008 1.561 1.447 0.174 1.128


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 54 51 0 5994 37 1129
normalized size 1 1. 0.13 0.12 0. 14.17 0.09 2.67
time (sec) N/A 0.369 0.015 0.007 0. 2.294 0.215 1.157


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 38 33 0 7470 24 0
normalized size 1 1. 0.1 0.09 0. 19.61 0.06 0.
time (sec) N/A 0.403 0.009 0.003 0. 5.279 0.154 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 19 24 62 27 24
normalized size 1 1. 1. 0.83 1.04 2.7 1.17 1.04
time (sec) N/A 0.024 0.008 0.003 1.557 1.453 0.118 1.202


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 399 399 37 36 0 5416 24 0
normalized size 1 1. 0.09 0.09 0. 13.57 0.06 0.
time (sec) N/A 0.305 0.008 0.003 0. 2.023 0.145 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 208 0 0 1071 0 0
normalized size 1 1. 0.9 0. 0. 4.64 0. 0.
time (sec) N/A 0.3 0.165 0.033 0. 1.752 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 164 0 0 863 0 0
normalized size 1 1. 0.96 0. 0. 5.05 0. 0.
time (sec) N/A 0.152 0.137 0.022 0. 1.707 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 136 0 0 699 0 0
normalized size 1 1. 0.89 0. 0. 4.57 0. 0.
time (sec) N/A 0.136 0.072 0.019 0. 1.648 0. 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 99 0 0 554 0 132
normalized size 1 1. 0.92 0. 0. 5.13 0. 1.22
time (sec) N/A 0.085 0.076 0.018 0. 1.648 0. 1.168


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 87 0 0 463 0 103
normalized size 1 1. 1.05 0. 0. 5.58 0. 1.24
time (sec) N/A 0.06 0.011 0.017 0. 1.547 0. 1.16


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 106 0 0 1335 0 0
normalized size 1 1. 0.97 0. 0. 12.25 0. 0.
time (sec) N/A 0.111 0.043 0.014 0. 1.83 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 112 0 0 1411 0 0
normalized size 1 1. 1. 0. 0. 12.6 0. 0.
time (sec) N/A 0.114 0.049 0.031 0. 1.876 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 89 0 0 502 0 0
normalized size 1 1. 1.01 0. 0. 5.7 0. 0.
time (sec) N/A 0.073 0.045 0.024 0. 1.766 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 108 0 0 595 0 0
normalized size 1 1. 0.93 0. 0. 5.13 0. 0.
time (sec) N/A 0.095 0.086 0.028 0. 1.913 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 139 0 0 749 0 0
normalized size 1 1. 0.86 0. 0. 4.65 0. 0.
time (sec) N/A 0.147 0.102 0.036 0. 2.068 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 173 0 0 910 0 0
normalized size 1 1. 0.87 0. 0. 4.57 0. 0.
time (sec) N/A 0.227 0.17 0.043 0. 2.646 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 358 0 0 0 0 0
normalized size 1 1. 2.56 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.577 0.029 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 337 0 0 0 0 0
normalized size 1 1. 2.41 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.422 0.025 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 135 135 335 0 0 0 0 0
normalized size 1 1. 2.48 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.343 0.02 0. 0. 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 340 0 0 0 0 0
normalized size 1 1. 2.46 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.386 0.021 0. 0. 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 340 0 0 0 0 0
normalized size 1 1. 2.43 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.331 0.022 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 241 0 0 1570 0 0
normalized size 1 1. 0.82 0. 0. 5.36 0. 0.
time (sec) N/A 0.402 0.359 0.023 0. 1.891 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 192 0 0 1268 0 0
normalized size 1 1. 0.86 0. 0. 5.69 0. 0.
time (sec) N/A 0.206 0.196 0.02 0. 2.071 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 175 0 0 1064 0 0
normalized size 1 1. 0.86 0. 0. 5.22 0. 0.
time (sec) N/A 0.188 0.17 0.018 0. 1.767 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 149 0 0 840 0 232
normalized size 1 1. 0.99 0. 0. 5.6 0. 1.55
time (sec) N/A 0.116 0.152 0.018 0. 1.657 0. 1.159


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 126 0 0 684 0 182
normalized size 1 1. 1.02 0. 0. 5.52 0. 1.47
time (sec) N/A 0.086 0.088 0.018 0. 1.633 0. 1.148


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 143 0 0 1717 0 0
normalized size 1 1. 0.92 0. 0. 11.08 0. 0.
time (sec) N/A 0.179 0.15 0.013 0. 2.498 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 134 0 0 1667 0 0
normalized size 1 1. 0.89 0. 0. 11.11 0. 0.
time (sec) N/A 0.17 0.11 0.04 0. 2.257 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 134 0 0 1670 0 0
normalized size 1 1. 0.89 0. 0. 11.06 0. 0.
time (sec) N/A 0.162 0.176 0.033 0. 2.205 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 149 0 0 1806 0 0
normalized size 1 1. 0.91 0. 0. 11.08 0. 0.
time (sec) N/A 0.176 0.214 0.041 0. 2.476 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 138 0 0 732 0 0
normalized size 1 1. 1.04 0. 0. 5.5 0. 0.
time (sec) N/A 0.108 0.176 0.035 0. 2.027 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 167 0 0 890 0 0
normalized size 1 1. 1.03 0. 0. 5.49 0. 0.
time (sec) N/A 0.146 0.143 0.044 0. 2.737 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 206 0 0 1111 0 0
normalized size 1 1. 0.95 0. 0. 5.14 0. 0.
time (sec) N/A 0.207 0.213 0.059 0. 3.908 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 243 0 0 1318 0 0
normalized size 1 1. 0.95 0. 0. 5.17 0. 0.
time (sec) N/A 0.312 0.506 0.084 0. 4.654 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 453 0 0 0 0 0
normalized size 1 1. 3.21 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.903 0.031 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 410 0 0 0 0 0
normalized size 1 1. 2.91 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.731 0.031 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 136 136 408 0 0 0 0 0
normalized size 1 1. 3. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.662 0.025 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 379 0 0 0 0 0
normalized size 1 1. 2.73 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.514 0.031 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 379 0 0 0 0 0
normalized size 1 1. 2.69 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.499 0.027 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 137 0 0 717 0 0
normalized size 1 1. 0.8 0. 0. 4.19 0. 0.
time (sec) N/A 0.216 0.114 0.023 0. 1.642 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 104 0 0 568 0 0
normalized size 1 1. 0.86 0. 0. 4.69 0. 0.
time (sec) N/A 0.105 0.053 0.02 0. 1.588 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 88 0 0 475 0 0
normalized size 1 1. 0.85 0. 0. 4.57 0. 0.
time (sec) N/A 0.089 0.033 0.018 0. 1.611 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 68 0 0 385 0 82
normalized size 1 1. 1. 0. 0. 5.66 0. 1.21
time (sec) N/A 0.057 0.016 0.017 0. 1.573 0. 1.16


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 0 0 285 0 54
normalized size 1 1. 1. 0. 0. 6.63 0. 1.26
time (sec) N/A 0.034 0.006 0.01 0. 1.522 0. 1.184


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 0 0 294 0 0
normalized size 1 1. 1. 0. 0. 6.68 0. 0.
time (sec) N/A 0.04 0.011 0.01 0. 1.589 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 72 0 0 424 0 0
normalized size 1 1. 1. 0. 0. 5.89 0. 0.
time (sec) N/A 0.06 0.024 0.022 0. 1.638 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 92 0 0 512 0 0
normalized size 1 1. 0.85 0. 0. 4.74 0. 0.
time (sec) N/A 0.101 0.062 0.024 0. 1.741 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 112 0 0 613 0 0
normalized size 1 1. 0.77 0. 0. 4.23 0. 0.
time (sec) N/A 0.158 0.079 0.028 0. 1.859 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 141 0 0 764 0 0
normalized size 1 1. 0.73 0. 0. 3.98 0. 0.
time (sec) N/A 0.233 0.102 0.029 0. 2.133 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 168 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.095 0.011 0. 0. 0. 0.


















Problem 230 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 140 140 168 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.085 0.011 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 135 135 163 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.06 0.008 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 343 0 0 0 0 0
normalized size 1 1. 2.49 0. 0. 0. 0. 0.
time (sec) N/A 0.119 0.371 0.026 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 342 0 0 0 0 0
normalized size 1 1. 2.44 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.333 0.023 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 181 0 0 1272 0 0
normalized size 1 1. 0.93 0. 0. 6.52 0. 0.
time (sec) N/A 0.229 0.192 0.045 0. 2.276 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 137 0 0 981 0 0
normalized size 1 1. 1. 0. 0. 7.16 0. 0.
time (sec) N/A 0.111 0.119 0.036 0. 1.995 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 107 0 0 833 0 0
normalized size 1 1. 0.89 0. 0. 6.94 0. 0.
time (sec) N/A 0.09 0.109 0.013 0. 1.822 0. 0.


















Problem 237 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 39 39 41 38 0 144 0 61
normalized size 1 1. 1.05 0.97 0. 3.69 0. 1.56
time (sec) N/A 0.029 0.099 0.005 0. 1.688 0. 1.458


















Problem 238 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 38 38 38 37 0 146 0 61
normalized size 1 1. 1. 0.97 0. 3.84 0. 1.61
time (sec) N/A 0.025 0.024 0.007 0. 1.69 0. 1.489


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 92 0 0 837 0 0
normalized size 1 1. 1. 0. 0. 9.1 0. 0.
time (sec) N/A 0.078 0.125 0.018 0. 2.009 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 137 0 0 1026 0 0
normalized size 1 1. 0.96 0. 0. 7.23 0. 0.
time (sec) N/A 0.124 0.085 0.038 0. 2.139 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 179 0 0 1319 0 0
normalized size 1 1. 0.9 0. 0. 6.66 0. 0.
time (sec) N/A 0.204 0.129 0.046 0. 2.672 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 223 0 0 1550 0 0
normalized size 1 1. 0.87 0. 0. 6.05 0. 0.
time (sec) N/A 0.286 0.182 0.057 0. 3.658 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 340 0 0 0 0 0
normalized size 1 1. 2.38 0. 0. 0. 0. 0.
time (sec) N/A 0.132 0.332 0.013 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 362 0 0 0 0 0
normalized size 1 1. 2.53 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.496 0.013 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 359 0 0 0 0 0
normalized size 1 1. 2.6 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.468 0.013 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 407 0 0 0 0 0
normalized size 1 1. 2.89 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.761 0.044 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 405 0 0 0 0 0
normalized size 1 1. 2.83 0. 0. 0. 0. 0.
time (sec) N/A 0.128 0.648 0.036 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 70 301 0 599 1510 606
normalized size 1 1. 0.69 2.98 0. 5.93 14.95 6.
time (sec) N/A 0.061 0.072 0.007 0. 1.582 6.029 1.168


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 35 78 0 162 314 161
normalized size 1 1. 0.67 1.5 0. 3.12 6.04 3.1
time (sec) N/A 0.021 0.03 0.003 0. 1.575 1.507 1.092


















Problem 250 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 173 173 59 0 0 0 0 0
normalized size 1 1. 0.34 0. 0. 0. 0. 0.
time (sec) N/A 0.238 0.043 0.028 0. 0. 0. 0.


















Problem 251 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 315 315 78 0 0 0 0 0
normalized size 1 1. 0.25 0. 0. 0. 0. 0.
time (sec) N/A 0.713 0.078 0.02 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 357 0 0 0 0 0
normalized size 1 1. 2.26 0. 0. 0. 0. 0.
time (sec) N/A 0.152 0.284 0.01 0. 0. 0. 0.


















Problem 253 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 157 157 181 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.139 0.113 0.008 0. 0. 0. 0.


















Problem 254 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 157 157 181 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.133 0.121 0.011 0. 0. 0. 0.


















Problem 255 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 160 160 221 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.177 0.008 0. 0. 0. 0.


















Problem 256 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 155 155 179 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.249 0.056 0. 0. 0. 0.


















Problem 257 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 224 224 162 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.243 0.203 0.02 0. 0. 0. 0.


















Problem 258 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 161 161 162 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.218 0.028 0. 0. 0. 0.


















Problem 259 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 130 130 138 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.099 0.02 0. 0. 0. 0.


















Problem 260 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.173 0.026 0. 0. 0. 0.


















Problem 261 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.183 0.022 0. 0. 0. 0.


















Problem 262 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.194 0.016 0. 0. 0. 0.


















Problem 263 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 133 133 161 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.059 0.179 0.016 0. 0. 0. 0.


















Problem 264 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 157 157 157 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 0.204 0.014 0. 0. 0. 0.


















Problem 265 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 136 136 164 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.175 0.023 0. 0. 0. 0.


















Problem 266 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.199 0.025 0. 0. 0. 0.


















Problem 267 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 164 164 162 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.216 0.027 0. 0. 0. 0.


















Problem 268 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.201 0.03 0. 0. 0. 0.


















Problem 269 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 138 138 166 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.179 0.033 0. 0. 0. 0.


















Problem 270 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 168 168 164 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.234 0.033 0. 0. 0. 0.


















Problem 271 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 32 32 34 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.008 0.007 0.017 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 24 25 32 77 22 32
normalized size 1 1. 0.8 0.83 1.07 2.57 0.73 1.07
time (sec) N/A 0.012 0.014 0.006 1.5 1.466 0.127 1.119


















Problem 273 Optimal Rubi Mathematica Maple 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 18 19 24 59 15 24
normalized size 1 1. 0.82 0.86 1.09 2.68 0.68 1.09
time (sec) N/A 0.01 0.007 0.007 0.971 1.436 0.11 1.128


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 20 26 62 15 26
normalized size 1 1. 1. 0.87 1.13 2.7 0.65 1.13
time (sec) N/A 0.009 0.01 0.004 1.537 1.428 0.121 1.097


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 10 12 22 8 12
normalized size 1 1. 1. 0.91 1.09 2. 0.73 1.09
time (sec) N/A 0.003 0.002 0.004 0.959 1.405 0.099 1.108


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 20 20 26 61 15 26
normalized size 1 1. 0.87 0.87 1.13 2.65 0.65 1.13
time (sec) N/A 0.007 0.006 0.004 1.456 1.464 0.121 1.092


















Problem 277 Optimal Rubi Mathematica Maple 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 32 89 19 39
normalized size 1 1. 1. 0.88 1.33 3.71 0.79 1.62
time (sec) N/A 0.012 0.009 0.013 1.035 1.412 0.131 1.108


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 25 34 78 26 34
normalized size 1 1. 1. 0.83 1.13 2.6 0.87 1.13
time (sec) N/A 0.012 0.012 0.008 1.497 1.423 0.148 1.117


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 28 45 111 29 45
normalized size 1 1. 1. 0.85 1.36 3.36 0.88 1.36
time (sec) N/A 0.016 0.012 0.013 1.002 1.439 0.159 1.077


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 33 28 41 96 29 42
normalized size 1 1. 0.89 0.76 1.11 2.59 0.78 1.14
time (sec) N/A 0.016 0.011 0.011 1.486 1.427 0.19 1.141


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 94 69 112 392 90 112
normalized size 1 1. 0.9 0.66 1.08 3.77 0.87 1.08
time (sec) N/A 0.055 0.07 0.007 1.491 1.515 0.186 1.104


















Problem 282 Optimal Rubi Mathematica Maple 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 93 70 113 382 90 113
normalized size 1 1. 0.94 0.71 1.14 3.86 0.91 1.14
time (sec) N/A 0.051 0.06 0.006 1.455 1.641 0.177 1.116


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 90 68 111 371 82 111
normalized size 1 1. 0.93 0.7 1.14 3.82 0.85 1.14
time (sec) N/A 0.051 0.072 0.005 1.462 1.805 0.173 1.097


















Problem 284 Optimal Rubi Mathematica Maple 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 92 70 113 373 83 113
normalized size 1 1. 0.93 0.71 1.14 3.77 0.84 1.14
time (sec) N/A 0.05 0.05 0.005 1.48 1.651 0.178 1.107


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 91 68 111 379 88 111
normalized size 1 1. 0.94 0.7 1.14 3.91 0.91 1.14
time (sec) N/A 0.047 0.05 0.005 1.506 1.589 0.181 1.105


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 98 75 119 390 95 119
normalized size 1 1. 0.92 0.71 1.12 3.68 0.9 1.12
time (sec) N/A 0.052 0.07 0.008 1.479 1.567 0.213 1.09


















Problem 287 Optimal Rubi Mathematica Maple 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 96 73 122 406 97 117
normalized size 1 1. 0.91 0.69 1.15 3.83 0.92 1.1
time (sec) N/A 0.052 0.074 0.008 1.499 1.525 0.219 1.12


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 103 80 128 424 102 130
normalized size 1 1. 0.91 0.71 1.13 3.75 0.9 1.15
time (sec) N/A 0.054 0.078 0.01 1.475 1.571 0.245 1.123


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 101 78 128 433 102 127
normalized size 1 1. 0.89 0.69 1.13 3.83 0.9 1.12
time (sec) N/A 0.055 0.081 0.007 1.496 1.642 0.249 1.145


















Problem 290 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 30 30 32 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.006 0.006 0.017 0. 0. 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 39 41 46 115 34 47
normalized size 1 1. 1.22 1.28 1.44 3.59 1.06 1.47
time (sec) N/A 0.013 0.024 0.009 1.017 1.456 0.127 1.107


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 22 19 24 59 15 26
normalized size 1 1. 0.85 0.73 0.92 2.27 0.58 1.
time (sec) N/A 0.013 0.007 0.006 0.975 1.448 0.111 1.109


















Problem 293 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 25 25 33 36 39 100 26 41
normalized size 1 1. 1.32 1.44 1.56 4. 1.04 1.64
time (sec) N/A 0.01 0.011 0.007 0.991 1.635 0.123 1.09


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 11 10 12 22 8 12
normalized size 1 1. 0.85 0.77 0.92 1.69 0.62 0.92
time (sec) N/A 0.003 0.003 0.001 1.001 1.671 0.101 1.097


















Problem 295 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 25 25 33 36 39 100 26 41
normalized size 1 1. 1.32 1.44 1.56 4. 1.04 1.64
time (sec) N/A 0.008 0.008 0.009 1.005 1.522 0.126 1.129


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 26 47 32 89 19 41
normalized size 1 1. 0.93 1.68 1.14 3.18 0.68 1.46
time (sec) N/A 0.015 0.008 0.012 0.988 1.478 0.132 1.085


















Problem 297 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 32 32 41 50 50 119 36 51
normalized size 1 1. 1.28 1.56 1.56 3.72 1.12 1.59
time (sec) N/A 0.013 0.017 0.017 1.019 1.422 0.156 1.122


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 35 54 47 111 29 49
normalized size 1 1. 0.95 1.46 1.27 3. 0.78 1.32
time (sec) N/A 0.019 0.013 0.016 0.974 1.459 0.161 1.111


















Problem 299 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 39 39 49 55 57 140 41 57
normalized size 1 1. 1.26 1.41 1.46 3.59 1.05 1.46
time (sec) N/A 0.017 0.015 0.017 1.013 1.466 0.187 1.12


















Problem 300 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 34 34 38 43 38 144 32 41
normalized size 1 1. 1.12 1.26 1.12 4.24 0.94 1.21
time (sec) N/A 0.009 0.016 0.013 1.474 1.561 0.159 1.131


















Problem 301 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 29 29 35 42 39 134 32 42
normalized size 1 1. 1.21 1.45 1.34 4.62 1.1 1.45
time (sec) N/A 0.008 0.016 0.011 1.497 1.458 0.157 1.103


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 31 42 36 126 26 39
normalized size 1 1. 1.15 1.56 1.33 4.67 0.96 1.44
time (sec) N/A 0.007 0.014 0.012 1.546 1.506 0.149 1.091


















Problem 303 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 29 29 33 42 39 128 27 42
normalized size 1 1. 1.14 1.45 1.34 4.41 0.93 1.45
time (sec) N/A 0.008 0.012 0.01 1.501 1.517 0.149 1.111


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 33 42 36 130 31 39
normalized size 1 1. 1.22 1.56 1.33 4.81 1.15 1.44
time (sec) N/A 0.005 0.01 0.012 1.513 1.488 0.16 1.117


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 40 47 47 143 37 50
normalized size 1 1. 1.11 1.31 1.31 3.97 1.03 1.39
time (sec) N/A 0.01 0.017 0.014 1.491 1.503 0.185 1.138


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 38 47 50 157 39 46
normalized size 1 1. 1.06 1.31 1.39 4.36 1.08 1.28
time (sec) N/A 0.009 0.019 0.015 1.602 1.469 0.187 1.114


















Problem 307 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 43 43 51 52 57 171 44 58
normalized size 1 1. 1.19 1.21 1.33 3.98 1.02 1.35
time (sec) N/A 0.012 0.021 0.016 1.511 1.475 0.223 1.103


















Problem 308 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 43 43 43 52 57 182 44 55
normalized size 1 1. 1. 1.21 1.33 4.23 1.02 1.28
time (sec) N/A 0.012 0.019 0.015 1.575 1.517 0.229 1.073


















Problem 309 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 163 163 58 0 0 0 0 0
normalized size 1 1. 0.36 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.044 0.014 0. 0. 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 78 111 0 556 316 101
normalized size 1 1. 0.96 1.37 0. 6.86 3.9 1.25
time (sec) N/A 0.084 0.052 0.004 0. 1.907 2.909 7.445


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 210 360 0 2192 134 1721
normalized size 1 1. 1.09 1.88 0. 11.42 0.7 8.96
time (sec) N/A 0.339 0.133 0.035 0. 1.701 3.207 8.028


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 60 0 443 223 80
normalized size 1 1. 0.98 0.95 0. 7.03 3.54 1.27
time (sec) N/A 0.058 0.025 0.003 0. 1.612 1.725 7.948


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 171 216 0 1214 76 1403
normalized size 1 1. 1.08 1.36 0. 7.64 0.48 8.82
time (sec) N/A 0.126 0.093 0.016 0. 1.527 2.211 7.826


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 42 37 0 296 131 49
normalized size 1 1. 1.11 0.97 0. 7.79 3.45 1.29
time (sec) N/A 0.034 0.012 0.003 0. 1.513 0.698 7.504


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 133 120 0 1345 88 1370
normalized size 1 1. 0.86 0.78 0. 8.73 0.57 8.9
time (sec) N/A 0.094 0.085 0.013 0. 1.583 2.459 7.99


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 66 66 0 510 253 92
normalized size 1 1. 0.96 0.96 0. 7.39 3.67 1.33
time (sec) N/A 0.068 0.023 0.007 0. 1.801 5.468 7.705


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 75 240 0 2314 153 1721
normalized size 1 1. 0.41 1.3 0. 12.58 0.83 9.35
time (sec) N/A 0.224 0.032 0.017 0. 1.82 3.647 7.448


















Problem 318 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 89 89 92 119 0 664 0 127
normalized size 1 1. 1.03 1.34 0. 7.46 0. 1.43
time (sec) N/A 0.124 0.031 0.009 0. 2.579 0. 7.506


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 70 63 0 13450 360 0
normalized size 1 1. 0.18 0.17 0. 35.3 0.94 0.
time (sec) N/A 0.647 0.041 0.037 0. 11.078 46. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 70 59 0 10701 218 0
normalized size 1 1. 0.19 0.16 0. 28.46 0.58 0.
time (sec) N/A 0.574 0.038 0.004 0. 4.351 15.839 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 44 43 0 8154 230 0
normalized size 1 1. 0.14 0.13 0. 25.09 0.71 0.
time (sec) N/A 0.307 0.024 0.003 0. 2.929 7.066 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 42 43 0 5315 126 0
normalized size 1 1. 0.13 0.13 0. 16.35 0.39 0.
time (sec) N/A 0.296 0.022 0.002 0. 2.045 3.812 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 43 43 0 5895 172 0
normalized size 1 1. 0.14 0.14 0. 18.71 0.55 0.
time (sec) N/A 0.29 0.023 0.003 0. 2.294 3.493 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 45 40 0 8162 177 0
normalized size 1 1. 0.14 0.13 0. 25.91 0.56 0.
time (sec) N/A 0.304 0.025 0.003 0. 3.011 6.577 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 363 363 71 63 0 10831 304 0
normalized size 1 1. 0.2 0.17 0. 29.84 0.84 0.
time (sec) N/A 0.412 0.038 0.006 0. 6.467 16.949 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 75 62 0 13495 277 0
normalized size 1 1. 0.21 0.17 0. 36.97 0.76 0.
time (sec) N/A 0.399 0.043 0.006 0. 7.611 39.699 0.


















Problem 327 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 127 127 212 0 0 0 0 0
normalized size 1 1. 1.67 0. 0. 0. 0. 0.
time (sec) N/A 0.078 0.403 0.017 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 36 47 109 42 47
normalized size 1 1. 1. 0.82 1.07 2.48 0.95 1.07
time (sec) N/A 0.037 0.011 0.002 1.471 1.458 0.135 1.092


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 98 43 57 128 51 57
normalized size 1 1. 1.81 0.8 1.06 2.37 0.94 1.06
time (sec) N/A 0.058 0.174 0.005 1.495 1.433 0.138 1.107


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 31 41 97 37 41
normalized size 1 1. 1. 0.84 1.11 2.62 1. 1.11
time (sec) N/A 0.031 0.008 0.003 1.5 1.489 0.131 1.094


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 94 62 82 193 76 82
normalized size 1 1. 1.25 0.83 1.09 2.57 1.01 1.09
time (sec) N/A 0.077 0.121 0.003 1.509 1.528 0.191 1.106


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 19 24 61 26 24
normalized size 1 1. 1. 0.83 1.04 2.65 1.13 1.04
time (sec) N/A 0.021 0.006 0.002 1.518 1.459 0.117 1.166


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 79 62 82 193 76 82
normalized size 1 1. 1.05 0.83 1.09 2.57 1.01 1.09
time (sec) N/A 0.064 0.05 0.004 1.51 1.467 0.191 1.101


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 138 87 49 109 41 49
normalized size 1 1. 3.54 2.23 1.26 2.79 1.05 1.26
time (sec) N/A 0.035 0.086 0.009 1.532 1.474 0.15 1.088


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 100 57 57 135 53 57
normalized size 1 1. 1.85 1.06 1.06 2.5 0.98 1.06
time (sec) N/A 0.052 0.051 0.006 1.515 1.466 0.162 1.111


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 141 94 55 143 48 62
normalized size 1 1. 2.94 1.96 1.15 2.98 1. 1.29
time (sec) N/A 0.051 0.104 0.009 1.473 1.455 0.181 1.109


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 142 95 99 234 88 99
normalized size 1 1. 1.6 1.07 1.11 2.63 0.99 1.11
time (sec) N/A 0.096 0.112 0.008 1.515 1.541 0.243 1.092


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 139 110 0 720 192 0
normalized size 1 1. 0.99 0.78 0. 5.11 1.36 0.
time (sec) N/A 0.097 0.282 0.036 0. 1.606 0.693 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 68 67 0 212 82 97
normalized size 1 1. 0.77 0.76 0. 2.41 0.93 1.1
time (sec) N/A 0.058 0.022 0.01 0. 1.505 0.17 1.094


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 135 109 0 716 197 0
normalized size 1 1. 0.96 0.78 0. 5.11 1.41 0.
time (sec) N/A 0.107 0.166 0.013 0. 1.637 0.7 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 135 109 0 716 214 0
normalized size 1 1. 0.96 0.78 0. 5.11 1.53 0.
time (sec) N/A 0.083 0.162 0.009 0. 1.632 0.694 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 68 67 0 212 82 97
normalized size 1 1. 0.77 0.76 0. 2.41 0.93 1.1
time (sec) N/A 0.052 0.017 0.009 0. 1.482 0.171 1.114


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 145 145 140 114 0 720 218 0
normalized size 1 1. 0.97 0.79 0. 4.97 1.5 0.
time (sec) N/A 0.112 0.217 0.01 0. 1.684 0.722 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 147 147 148 114 0 744 197 0
normalized size 1 1. 1.01 0.78 0. 5.06 1.34 0.
time (sec) N/A 0.099 0.307 0.011 0. 1.894 0.734 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 95 75 0 255 94 113
normalized size 1 1. 0.97 0.77 0. 2.6 0.96 1.15
time (sec) N/A 0.084 0.038 0.013 0. 1.461 0.214 1.105


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B C F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 154 171 119 0 774 209 0
normalized size 1 1. 1.11 0.77 0. 5.03 1.36 0.
time (sec) N/A 0.142 0.356 0.011 0. 1.622 0.75 0.


















Problem 347 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 127 127 52 0 0 0 0 0
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.037 0.017 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 38 50 109 42 50
normalized size 1 1. 1. 0.83 1.09 2.37 0.91 1.09
time (sec) N/A 0.04 0.013 0.003 1.478 1.446 0.139 1.138


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 55 44 0 117 48 348
normalized size 1 1. 0.96 0.77 0. 2.05 0.84 6.11
time (sec) N/A 0.043 0.016 0.006 0. 1.455 0.126 1.275


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 33 43 96 37 43
normalized size 1 1. 1. 0.85 1.1 2.46 0.95 1.1
time (sec) N/A 0.033 0.008 0.002 1.487 1.499 0.132 1.145


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 98 65 0 545 70 342
normalized size 1 1. 1.2 0.79 0. 6.65 0.85 4.17
time (sec) N/A 0.071 0.137 0.006 0. 1.55 0.2 1.262


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 19 24 61 26 24
normalized size 1 1. 1. 0.83 1.04 2.65 1.13 1.04
time (sec) N/A 0.022 0.006 0.001 1.5 1.475 0.124 1.113


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 83 65 0 545 70 0
normalized size 1 1. 1.01 0.79 0. 6.65 0.85 0.
time (sec) N/A 0.057 0.056 0.008 0. 1.597 0.195 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 55 35 51 108 41 51
normalized size 1 1. 1.34 0.85 1.24 2.63 1. 1.24
time (sec) N/A 0.038 0.013 0.007 1.483 1.463 0.15 1.135


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 55 44 0 123 49 348
normalized size 1 1. 0.96 0.77 0. 2.16 0.86 6.11
time (sec) N/A 0.042 0.016 0.01 0. 1.429 0.155 1.277


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 51 40 58 143 48 65
normalized size 1 1. 1.06 0.83 1.21 2.98 1. 1.35
time (sec) N/A 0.054 0.013 0.005 1.546 1.504 0.19 1.138


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 56 75 0 576 82 358
normalized size 1 1. 0.58 0.78 0. 6. 0.85 3.73
time (sec) N/A 0.094 0.018 0.01 0. 1.573 0.257 1.273


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 356 59 44 0 2319 26 343
normalized size 1 1. 0.17 0.12 0. 6.51 0.07 0.96
time (sec) N/A 0.333 0.014 0.007 0. 1.833 1.258 1.148


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 41 32 0 608 165 277
normalized size 1 1. 0.15 0.12 0. 2.21 0.6 1.01
time (sec) N/A 0.243 0.011 0.008 0. 1.594 0.209 1.158


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 347 347 39 40 0 1913 24 342
normalized size 1 1. 0.11 0.12 0. 5.51 0.07 0.99
time (sec) N/A 0.209 0.011 0.005 0. 1.751 1.286 1.189


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 355 355 40 40 0 1914 26 342
normalized size 1 1. 0.11 0.11 0. 5.39 0.07 0.96
time (sec) N/A 0.2 0.011 0.007 0. 1.808 1.298 1.145


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 42 30 0 608 165 277
normalized size 1 1. 0.15 0.11 0. 2.21 0.6 1.01
time (sec) N/A 0.211 0.011 0.005 0. 1.609 0.24 1.148


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 61 52 0 2327 29 348
normalized size 1 1. 0.17 0.14 0. 6.46 0.08 0.97
time (sec) N/A 0.239 0.016 0.009 0. 1.824 1.291 1.2


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 370 370 65 50 0 2361 31 348
normalized size 1 1. 0.18 0.14 0. 6.38 0.08 0.94
time (sec) N/A 0.236 0.014 0.01 0. 1.801 1.305 1.16


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 54 43 0 653 180 293
normalized size 1 1. 0.19 0.15 0. 2.28 0.63 1.02
time (sec) N/A 0.241 0.016 0.008 0. 1.555 0.272 1.143


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 377 377 54 51 0 1990 36 358
normalized size 1 1. 0.14 0.14 0. 5.28 0.1 0.95
time (sec) N/A 0.286 0.015 0.01 0. 1.753 1.378 1.168


















Problem 367 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 117 117 54 0 0 0 0 0
normalized size 1 1. 0.46 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.041 0.016 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 57 38 68 157 60 68
normalized size 1 1. 0.92 0.61 1.1 2.53 0.97 1.1
time (sec) N/A 0.056 0.032 0.003 1.497 1.483 0.142 1.221


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 97 117 0 456 54 89
normalized size 1 1. 1.08 1.3 0. 5.07 0.6 0.99
time (sec) N/A 0.142 0.146 0.041 0. 1.585 0.198 1.23


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 53 33 61 143 53 61
normalized size 1 1. 0.96 0.6 1.11 2.6 0.96 1.11
time (sec) N/A 0.033 0.023 0.003 1.484 1.429 0.135 1.236


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 75 110 0 517 49 63
normalized size 1 1. 0.93 1.36 0. 6.38 0.6 0.78
time (sec) N/A 0.084 0.047 0.017 0. 1.593 0.194 1.276


















Problem 372 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 23 23 38 19 42 107 42 42
normalized size 1 1. 1.65 0.83 1.83 4.65 1.83 1.83
time (sec) N/A 0.026 0.01 0. 1.494 1.456 0.122 1.293


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 74 60 0 417 49 55
normalized size 1 1. 0.99 0.8 0. 5.56 0.65 0.73
time (sec) N/A 0.058 0.038 0.014 0. 1.54 0.195 1.306


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 55 35 69 155 58 69
normalized size 1 1. 0.96 0.61 1.21 2.72 1.02 1.21
time (sec) N/A 0.034 0.029 0.007 1.489 1.481 0.153 1.249


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 65 117 0 460 56 92
normalized size 1 1. 0.73 1.31 0. 5.17 0.63 1.03
time (sec) N/A 0.072 0.018 0.021 0. 1.591 0.23 1.257


















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 66 66 60 42 76 193 65 85
normalized size 1 1. 0.91 0.64 1.15 2.92 0.98 1.29
time (sec) N/A 0.067 0.034 0.007 1.473 1.662 0.193 1.231


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 73 122 0 564 65 104
normalized size 1 1. 0.75 1.26 0. 5.81 0.67 1.07
time (sec) N/A 0.134 0.019 0.016 0. 1.771 0.275 1.242


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 460 440 58 46 0 3565 29 343
normalized size 1 0.96 0.13 0.1 0. 7.75 0.06 0.75
time (sec) N/A 0.416 0.014 0.006 0. 1.913 1.175 1.356


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 431 431 41 40 0 2326 26 342
normalized size 1 1. 0.1 0.09 0. 5.4 0.06 0.79
time (sec) N/A 0.295 0.012 0.007 0. 1.806 1.146 1.362


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 451 451 39 40 0 2758 24 342
normalized size 1 1. 0.09 0.09 0. 6.12 0.05 0.76
time (sec) N/A 0.28 0.011 0.006 0. 1.869 1.141 1.339


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 431 40 40 0 3101 26 342
normalized size 1 1.01 0.09 0.09 0. 7.26 0.06 0.8
time (sec) N/A 0.259 0.01 0.005 0. 1.86 1.14 1.361


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 42 37 0 2304 26 342
normalized size 1 1. 0.1 0.09 0. 5.57 0.06 0.83
time (sec) N/A 0.257 0.011 0.006 0. 1.774 1.107 1.243


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 61 52 0 3545 32 348
normalized size 1 1. 0.15 0.12 0. 8.52 0.08 0.84
time (sec) N/A 0.285 0.017 0.009 0. 1.852 1.245 1.329


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 466 466 65 50 0 3754 34 348
normalized size 1 1. 0.14 0.11 0. 8.06 0.07 0.75
time (sec) N/A 0.367 0.015 0.007 0. 2.171 1.232 1.376


















Problem 385 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 117 117 191 0 0 0 0 0
normalized size 1 1. 1.63 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.172 0.017 0. 0. 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 56 38 68 157 58 72
normalized size 1 1. 0.9 0.61 1.1 2.53 0.94 1.16
time (sec) N/A 0.046 0.033 0.003 1.467 1.713 0.137 1.15


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 103 67 124 290 170 131
normalized size 1 1. 1.14 0.74 1.38 3.22 1.89 1.46
time (sec) N/A 0.072 0.051 0.005 1.465 1.71 0.462 1.178


















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 55 55 53 33 61 143 53 65
normalized size 1 1. 0.96 0.6 1.11 2.6 0.96 1.18
time (sec) N/A 0.032 0.021 0.002 1.478 1.725 0.137 1.149


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 91 62 117 277 165 124
normalized size 1 1. 1.12 0.77 1.44 3.42 2.04 1.53
time (sec) N/A 0.053 0.035 0.003 1.501 1.777 0.448 1.168


















Problem 390 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 23 23 38 19 42 107 42 45
normalized size 1 1. 1.65 0.83 1.83 4.65 1.83 1.96
time (sec) N/A 0.027 0.01 0.002 1.502 1.643 0.119 1.163


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 91 62 117 277 165 124
normalized size 1 1. 1.21 0.83 1.56 3.69 2.2 1.65
time (sec) N/A 0.038 0.029 0.003 1.486 1.743 0.437 1.142


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 55 64 69 155 58 73
normalized size 1 1. 0.96 1.12 1.21 2.72 1.02 1.28
time (sec) N/A 0.03 0.031 0.01 1.484 1.775 0.156 1.165


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 103 67 124 306 172 131
normalized size 1 1. 1.16 0.75 1.39 3.44 1.93 1.47
time (sec) N/A 0.058 0.06 0.009 1.48 1.758 0.477 1.17


















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 66 66 61 71 76 193 66 89
normalized size 1 1. 0.92 1.08 1.15 2.92 1. 1.35
time (sec) N/A 0.063 0.034 0.008 1.507 1.705 0.196 1.146


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 111 72 134 327 197 140
normalized size 1 1. 1.14 0.74 1.38 3.37 2.03 1.44
time (sec) N/A 0.09 0.074 0.01 1.477 1.714 0.516 1.17


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 160 205 0 988 58 200
normalized size 1 1. 0.94 1.21 0. 5.81 0.34 1.18
time (sec) N/A 0.114 0.274 0.053 0. 2.01 0.921 1.222


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 160 206 0 844 53 198
normalized size 1 1. 0.96 1.23 0. 5.05 0.32 1.19
time (sec) N/A 0.078 0.15 0.024 0. 1.961 0.897 1.217


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 132 206 0 932 49 198
normalized size 1 1. 0.76 1.19 0. 5.39 0.28 1.14
time (sec) N/A 0.075 0.197 0.034 0. 1.919 0.884 1.248


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 166 131 110 0 903 53 198
normalized size 1 1.14 0.9 0.76 0. 6.23 0.37 1.37
time (sec) N/A 0.06 0.045 0.02 0. 1.927 0.891 1.217


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 160 206 0 834 53 198
normalized size 1 1. 0.95 1.22 0. 4.93 0.31 1.17
time (sec) N/A 0.06 0.172 0.021 0. 1.877 0.908 1.206


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 174 211 0 981 63 205
normalized size 1 1. 1.01 1.23 0. 5.7 0.37 1.19
time (sec) N/A 0.089 0.271 0.024 0. 1.934 0.948 1.232


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 166 209 0 1037 63 205
normalized size 1 1. 0.91 1.15 0. 5.7 0.35 1.13
time (sec) N/A 0.118 0.267 0.029 0. 1.905 0.975 1.225


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 189 216 0 913 71 215
normalized size 1 1. 1.09 1.25 0. 5.28 0.41 1.24
time (sec) N/A 0.14 0.294 0.033 0. 1.947 0.983 1.227


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 189 216 0 1077 68 215
normalized size 1 1. 1. 1.14 0. 5.7 0.36 1.14
time (sec) N/A 0.163 0.276 0.036 0. 1.955 0.997 1.202


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 18 23 51 15 23
normalized size 1 1. 1. 0.86 1.1 2.43 0.71 1.1
time (sec) N/A 0.013 0.004 0.006 0.97 1.693 0.114 1.14


















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 26 26 26 23 30 58 19 30
normalized size 1 1. 1. 0.88 1.15 2.23 0.73 1.15
time (sec) N/A 0.019 0.005 0.006 1.004 1.682 0.126 1.106


















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 37 37 37 31 41 100 37 41
normalized size 1 1. 1. 0.84 1.11 2.7 1. 1.11
time (sec) N/A 0.034 0.012 0.002 1.478 1.669 0.141 2.655


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 19 24 62 27 24
normalized size 1 1. 1. 0.83 1.04 2.7 1.17 1.04
time (sec) N/A 0.022 0.006 0.001 1.516 1.688 0.127 2.653


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 197 66 49 112 41 45
normalized size 1 1. 5.05 1.69 1.26 2.87 1.05 1.15
time (sec) N/A 0.035 0.036 0.037 1.517 1.701 0.165 1.115


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 208 73 55 144 48 61
normalized size 1 1. 4.33 1.52 1.15 3. 1. 1.27
time (sec) N/A 0.051 0.041 0.021 1.491 1.599 0.219 1.115


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 197 66 0 112 41 45
normalized size 1 1. 5.05 1.69 0. 2.87 1.05 1.15
time (sec) N/A 0.036 0.019 0.02 0. 1.649 0.166 1.1


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 140 236 0 1006 600 196
normalized size 1 1. 0.95 1.61 0. 6.84 4.08 1.33
time (sec) N/A 0.137 0.122 0.006 0. 1.824 1.04 1.107


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 112 190 0 829 496 153
normalized size 1 1. 0.95 1.61 0. 7.03 4.2 1.3
time (sec) N/A 0.105 0.084 0.004 0. 1.821 0.964 1.126


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 84 132 0 653 381 116
normalized size 1 1. 0.94 1.48 0. 7.34 4.28 1.3
time (sec) N/A 0.086 0.108 0.004 0. 1.725 0.787 1.142


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 73 101 0 537 306 90
normalized size 1 1. 1.04 1.44 0. 7.67 4.37 1.29
time (sec) N/A 0.049 0.065 0.001 0. 1.689 0.638 1.153


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 57 56 0 427 216 74
normalized size 1 1. 1.02 1. 0. 7.62 3.86 1.32
time (sec) N/A 0.036 0.031 0.003 0. 1.697 0.311 1.159


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 38 35 0 277 124 46
normalized size 1 1. 1.06 0.97 0. 7.69 3.44 1.28
time (sec) N/A 0.032 0.007 0. 0. 1.776 0.203 1.129


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 61 62 0 494 564 84
normalized size 1 1. 0.98 1. 0. 7.97 9.1 1.35
time (sec) N/A 0.048 0.068 0.005 0. 1.893 1.906 1.134


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 77 112 0 626 862 107
normalized size 1 1. 0.95 1.38 0. 7.73 10.64 1.32
time (sec) N/A 0.102 0.079 0.008 0. 1.826 3.495 1.115


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 102 150 0 798 1525 142
normalized size 1 1. 0.98 1.44 0. 7.67 14.66 1.37
time (sec) N/A 0.153 0.136 0.007 0. 2.118 5.231 1.125


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 131 214 0 979 2105 184
normalized size 1 1. 0.96 1.56 0. 7.15 15.36 1.34
time (sec) N/A 0.193 0.101 0.008 0. 2.262 8.597 1.156


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 163 434 0 2201 1012 254
normalized size 1 1. 0.83 2.21 0. 11.23 5.16 1.3
time (sec) N/A 0.205 0.229 0.01 0. 1.794 2.099 1.127


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 132 352 0 1760 842 217
normalized size 1 1. 0.88 2.35 0. 11.73 5.61 1.45
time (sec) N/A 0.148 0.184 0.01 0. 1.832 1.603 1.107


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 109 209 0 1374 729 169
normalized size 1 1. 0.96 1.83 0. 12.05 6.39 1.48
time (sec) N/A 0.1 0.148 0.007 0. 1.752 1.236 1.121


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 81 97 0 826 280 119
normalized size 1 1. 1.14 1.37 0. 11.63 3.94 1.68
time (sec) N/A 0.042 0.097 0.007 0. 1.806 0.753 1.115


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 69 70 0 740 252 103
normalized size 1 1. 1.05 1.06 0. 11.21 3.82 1.56
time (sec) N/A 0.034 0.067 0.003 0. 1.704 0.714 1.164


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 70 68 0 745 265 103
normalized size 1 1. 1.06 1.03 0. 11.29 4.02 1.56
time (sec) N/A 0.033 0.08 0.003 0. 1.771 0.8 1.122


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 107 237 0 1685 2236 170
normalized size 1 1. 0.99 2.19 0. 15.6 20.7 1.57
time (sec) N/A 0.145 0.188 0.012 0. 2.28 7.442 1.137


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 131 328 0 2049 2672 231
normalized size 1 1. 0.89 2.22 0. 13.84 18.05 1.56
time (sec) N/A 0.182 0.293 0.014 0. 2.892 11.488 1.133


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 175 418 0 2606 4083 309
normalized size 1 1. 0.87 2.07 0. 12.9 20.21 1.53
time (sec) N/A 0.239 0.368 0.018 0. 3.635 18.667 1.158


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 260 1040 0 4120 1714 381
normalized size 1 1. 1.09 4.37 0. 17.31 7.2 1.6
time (sec) N/A 0.291 0.401 0.016 0. 2.029 4.28 1.158


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 221 530 0 3429 1510 331
normalized size 1 1. 1.16 2.79 0. 18.05 7.95 1.74
time (sec) N/A 0.279 0.337 0.013 0. 2.055 2.834 1.131


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 174 260 0 2006 547 273
normalized size 1 1. 1.57 2.34 0. 18.07 4.93 2.46
time (sec) N/A 0.067 0.182 0.012 0. 2.052 1.75 1.151


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 126 223 0 1848 510 220
normalized size 1 1. 1.18 2.08 0. 17.27 4.77 2.06
time (sec) N/A 0.05 0.213 0.009 0. 1.835 1.517 1.129


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 131 262 0 1893 570 208
normalized size 1 1. 1.14 2.28 0. 16.46 4.96 1.81
time (sec) N/A 0.068 0.148 0.009 0. 1.795 1.45 1.157


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 102 130 0 1692 479 182
normalized size 1 1. 0.99 1.26 0. 16.43 4.65 1.77
time (sec) N/A 0.041 0.103 0.003 0. 1.794 1.358 1.14


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 97 129 0 1685 474 184
normalized size 1 1. 0.96 1.28 0. 16.68 4.69 1.82
time (sec) N/A 0.041 0.102 0.004 0. 1.908 1.378 1.17


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 178 781 0 4228 4862 323
normalized size 1 1. 0.96 4.22 0. 22.85 26.28 1.75
time (sec) N/A 0.22 0.365 0.016 0. 4.551 21.887 1.157


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 221 954 0 4849 5722 417
normalized size 1 1. 0.92 3.99 0. 20.29 23.94 1.74
time (sec) N/A 0.277 0.472 0.02 0. 6.046 52.609 1.141


















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 40 40 40 31 41 108 34 43
normalized size 1 1. 1. 0.78 1.02 2.7 0.85 1.08
time (sec) N/A 0.022 0.006 0.006 1.056 1.667 0.152 1.192


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 26 34 85 27 36
normalized size 1 1. 1. 0.79 1.03 2.58 0.82 1.09
time (sec) N/A 0.02 0.004 0.006 1.081 1.714 0.145 1.202


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 21 27 66 20 30
normalized size 1 1. 1. 0.81 1.04 2.54 0.77 1.15
time (sec) N/A 0.015 0.004 0.005 1.065 1.665 0.142 1.195


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 18 23 54 17 26
normalized size 1 1. 1. 0.86 1.1 2.57 0.81 1.24
time (sec) N/A 0.011 0.003 0.003 1.072 1.645 0.106 1.116


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 21 18 23 50 15 26
normalized size 1 1. 0.91 0.78 1. 2.17 0.65 1.13
time (sec) N/A 0.014 0.003 0.004 1.011 1.679 0.147 1.099


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 22 28 70 24 32
normalized size 1 1. 1. 0.81 1.04 2.59 0.89 1.19
time (sec) N/A 0.017 0.005 0.007 1.107 1.764 0.187 1.118


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 27 35 90 31 39
normalized size 1 1. 1. 0.79 1.03 2.65 0.91 1.15
time (sec) N/A 0.031 0.004 0.008 1.074 1.715 0.22 1.095


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 32 42 117 36 46
normalized size 1 1. 1. 0.78 1.02 2.85 0.88 1.12
time (sec) N/A 0.035 0.005 0.008 1.08 1.728 0.161 1.126


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 37 49 138 41 53
normalized size 1 1. 1. 0.77 1.02 2.88 0.85 1.1
time (sec) N/A 0.042 0.005 0.009 1.084 1.752 0.246 1.136


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 213 701 0 2272 0 0
normalized size 1 1. 1.04 3.44 0. 11.14 0. 0.
time (sec) N/A 0.231 0.539 0.013 0. 3.944 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 163 334 0 1689 0 0
normalized size 1 1. 1.12 2.3 0. 11.65 0. 0.
time (sec) N/A 0.134 0.258 0.006 0. 2.571 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 128 121 0 1407 0 0
normalized size 1 1. 1.22 1.15 0. 13.4 0. 0.
time (sec) N/A 0.083 0.085 0.005 0. 2.185 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 89 88 0 410 0 0
normalized size 1 1. 1.33 1.31 0. 6.12 0. 0.
time (sec) N/A 0.041 0.054 0.006 0. 1.854 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 138 197 0 1002 0 0
normalized size 1 1. 1.04 1.48 0. 7.53 0. 0.
time (sec) N/A 0.099 0.174 0.009 0. 2.305 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 256 376 0 2286 0 0
normalized size 1 1. 1.16 1.71 0. 10.39 0. 0.
time (sec) N/A 0.194 0.401 0.01 0. 4.327 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 32 40 11 22 0 39
normalized size 1 1. 0.44 0.55 0.15 0.3 0. 0.53
time (sec) N/A 0.036 0.02 0.009 1. 2.025 0. 1.115


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 202 343 0 2168 129 4593
normalized size 1 1. 1.13 1.92 0. 12.11 0.72 25.66
time (sec) N/A 0.291 0.131 0.01 0. 2.11 1.65 2.326


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 631 631 70 59 0 11169 196 0
normalized size 1 1. 0.11 0.09 0. 17.7 0.31 0.
time (sec) N/A 1.17 0.037 0.009 0. 6.329 2.929 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 70 59 0 10701 218 0
normalized size 1 1. 0.19 0.16 0. 28.46 0.58 0.
time (sec) N/A 0.666 0.044 0.002 0. 5.53 20.029 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 106 84 0 0 0 0
normalized size 1 1. 1. 0.79 0. 0. 0. 0.
time (sec) N/A 0.092 0.058 0.007 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 29 52 73 126 51 66
normalized size 1 1. 0.72 1.3 1.82 3.15 1.27 1.65
time (sec) N/A 0.019 0.026 0.003 1.065 1.995 0.412 1.119


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 50 50 31 0 0 74
normalized size 1 1. 0.67 0.67 0.41 0. 0. 0.99
time (sec) N/A 0.04 0.03 0.01 1.035 0. 0. 1.163


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 56 109 0 197 0 189
normalized size 1 1. 0.41 0.8 0. 1.44 0. 1.38
time (sec) N/A 0.081 0.05 0.012 0. 2.133 0. 1.17


















Problem 463 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 137 137 56 87 0 140 0 138
normalized size 1 1. 0.41 0.64 0. 1.02 0. 1.01
time (sec) N/A 0.071 0.037 0.002 0. 2.03 0. 1.131


















Problem 464 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 137 137 65 65 0 82 0 86
normalized size 1 1. 0.47 0.47 0. 0.6 0. 0.63
time (sec) N/A 0.056 0.033 0.003 0. 1.956 0. 1.135


















Problem 465 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 88 88 43 43 0 28 0 35
normalized size 1 1. 0.49 0.49 0. 0.32 0. 0.4
time (sec) N/A 0.04 0.009 0.001 0. 2.019 0. 1.116


















Problem 466 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 147 147 65 103 62 89 0 82
normalized size 1 1. 0.44 0.7 0.42 0.61 0. 0.56
time (sec) N/A 0.07 0.038 0.016 1.064 2.063 0. 1.134


















Problem 467 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 130 130 72 92 88 243 0 86
normalized size 1 1. 0.55 0.71 0.68 1.87 0. 0.66
time (sec) N/A 0.072 0.046 0.009 1.078 1.866 0. 1.175


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 58 54 85 285 0 0
normalized size 1 1. 0.43 0.4 0.63 2.11 0. 0.
time (sec) N/A 0.075 0.037 0.006 1.098 1.871 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 58 54 85 477 0 0
normalized size 1 1. 0.42 0.39 0.62 3.48 0. 0.
time (sec) N/A 0.078 0.037 0.007 1.104 1.93 0. 0.


















Problem 470 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 137 137 58 54 85 643 0 0
normalized size 1 1. 0.42 0.39 0.62 4.69 0. 0.
time (sec) N/A 0.079 0.037 0.007 1.069 1.957 0. 0.


















Problem 471 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 137 137 58 54 85 842 0 0
normalized size 1 1. 0.42 0.39 0.62 6.15 0. 0.
time (sec) N/A 0.078 0.038 0.007 1.016 2.041 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 68 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.03 0.033 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 468 468 207 0 489 1354 0 2111
normalized size 1 1. 0.44 0. 1.04 2.89 0. 4.51
time (sec) N/A 0.224 0.224 0.007 1.063 3.189 0. 1.184


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 143 0 267 653 0 1006
normalized size 1 1. 0.45 0. 0.85 2.07 0. 3.19
time (sec) N/A 0.14 0.185 0.006 0.994 2.592 0. 1.142


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 83 0 104 240 0 309
normalized size 1 1. 0.58 0. 0.73 1.69 0. 2.18
time (sec) N/A 0.068 0.049 0.005 0.973 2.124 0. 1.163


















Problem 476 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 69 69 58 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.013 0.007 0. 0. 0. 0.


















Problem 477 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 61 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.015 0.007 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 162 101 0 0 186 0 0
normalized size 1 1.11 0.69 0. 0. 1.27 0. 0.
time (sec) N/A 0.099 0.088 0.01 0. 2.692 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 93 114 200 315 0 0
normalized size 1 1. 0.53 0.65 1.14 1.79 0. 0.
time (sec) N/A 0.104 0.068 0.016 1.012 21.128 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 121 174 161 0 0 320
normalized size 1 1. 0.45 0.65 0.6 0. 0. 1.19
time (sec) N/A 0.151 0.1 0.014 1.063 0. 0. 1.538


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 66 68 0 0 0 108
normalized size 1 1. 0.37 0.38 0. 0. 0. 0.6
time (sec) N/A 0.092 0.034 0.026 0. 0. 0. 1.188


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 125 115 107 0 0 234
normalized size 1 1. 0.32 0.29 0.27 0. 0. 0.6
time (sec) N/A 0.187 0.073 0.022 0.978 0. 0. 1.3


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 99 91 77 0 0 173
normalized size 1 1. 0.34 0.31 0.26 0. 0. 0.59
time (sec) N/A 0.137 0.059 0.009 1.04 0. 0. 1.261


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 77 69 41 0 0 107
normalized size 1 1. 0.41 0.37 0.22 0. 0. 0.57
time (sec) N/A 0.091 0.029 0.005 1.033 0. 0. 1.171


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 49 50 14 0 0 46
normalized size 1 1. 0.56 0.57 0.16 0. 0. 0.52
time (sec) N/A 0.053 0.015 0.004 0.968 0. 0. 1.156


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 86 78 59 0 0 104
normalized size 1 1. 0.45 0.41 0.31 0. 0. 0.55
time (sec) N/A 0.118 0.041 0.006 1.019 0. 0. 1.205


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 300 300 126 141 131 0 0 163
normalized size 1 1. 0.42 0.47 0.44 0. 0. 0.54
time (sec) N/A 0.187 0.09 0.01 1.024 0. 0. 1.229


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 410 152 199 188 0 0 190
normalized size 1 1. 0.37 0.49 0.46 0. 0. 0.46
time (sec) N/A 0.268 0.139 0.011 1.007 0. 0. 1.212


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 289 289 98 94 77 0 0 170
normalized size 1 1. 0.34 0.33 0.27 0. 0. 0.59
time (sec) N/A 0.138 0.053 0.032 0.977 0. 0. 1.237


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 103 91 70 0 0 169
normalized size 1 1. 0.35 0.31 0.24 0. 0. 0.58
time (sec) N/A 0.137 0.051 0.02 0.99 0. 0. 1.181


















Problem 491 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 222 222 98 152 134 703 0 113
normalized size 1 1. 0.44 0.68 0.6 3.17 0. 0.51
time (sec) N/A 0.126 0.097 0.011 1.013 2.193 0. 1.133


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 124 116 107 0 0 232
normalized size 1 1. 0.32 0.3 0.27 0. 0. 0.59
time (sec) N/A 0.18 0.07 0.024 0.994 0. 0. 1.364


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 38 62 61 84 42 0
normalized size 1 1. 0.83 1.35 1.33 1.83 0.91 0.
time (sec) N/A 0.036 0.029 0.023 0.976 1.93 31.294 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 26 33 43 49 26 0
normalized size 1 1. 0.93 1.18 1.54 1.75 0.93 0.
time (sec) N/A 0.026 0.014 0.02 0.98 1.911 81.362 0.


















Problem 495 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 15 15 15 18 26 30 37 0
normalized size 1 1. 1. 1.2 1.73 2. 2.47 0.
time (sec) N/A 0.012 0.004 0.017 0.988 1.903 14.01 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 22 26 36 47 42 34
normalized size 1 1. 0.96 1.13 1.57 2.04 1.83 1.48
time (sec) N/A 0.019 0.007 0.02 0.99 1.851 14.695 1.1


















Problem 497 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 57 57 49 69 78 128 0 0
normalized size 1 1. 0.86 1.21 1.37 2.25 0. 0.
time (sec) N/A 0.042 0.065 0.022 0.963 1.763 0. 0.


















Problem 498 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 76 76 62 88 96 159 73 0
normalized size 1 1. 0.82 1.16 1.26 2.09 0.96 0.
time (sec) N/A 0.047 0.079 0.025 1.067 1.573 144.718 0.


















Problem 499 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 93 93 75 105 113 190 0 0
normalized size 1 1. 0.81 1.13 1.22 2.04 0. 0.
time (sec) N/A 0.054 0.106 0.026 1.004 1.563 0. 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 34 54 0 625 0 0
normalized size 1 1. 0.14 0.23 0. 2.65 0. 0.
time (sec) N/A 0.206 0.009 0.087 0. 1.704 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 34 54 0 502 0 0
normalized size 1 1. 0.21 0.34 0. 3.14 0. 0.
time (sec) N/A 0.132 0.01 0.058 0. 1.71 0. 0.


















Problem 502 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 50 50 32 79 0 323 0 0
normalized size 1 1. 0.64 1.58 0. 6.46 0. 0.
time (sec) N/A 0.035 0.007 0.062 0. 1.667 0. 0.


















Problem 503 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 68 68 34 97 0 379 0 0
normalized size 1 1. 0.5 1.43 0. 5.57 0. 0.
time (sec) N/A 0.041 0.008 0.075 0. 1.706 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 34 73 0 427 0 0
normalized size 1 1. 0.19 0.41 0. 2.43 0. 0.
time (sec) N/A 0.142 0.008 0.065 0. 1.675 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 34 73 0 605 0 0
normalized size 1 1. 0.13 0.29 0. 2.4 0. 0.
time (sec) N/A 0.225 0.008 0.075 0. 1.722 0. 0.


















Problem 506 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 37 37 38 0 58 126 0 0
normalized size 1 1. 1.03 0. 1.57 3.41 0. 0.
time (sec) N/A 0.04 0.017 0.097 1.08 1.589 0. 0.


















Problem 507 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 38 38 43 0 0 124 0 0
normalized size 1 1. 1.13 0. 0. 3.26 0. 0.
time (sec) N/A 0.039 0.021 0.065 0. 1.561 0. 0.


















Problem 508 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 112 112 40 208 100 165 0 0
normalized size 1 1. 0.36 1.86 0.89 1.47 0. 0.
time (sec) N/A 0.042 0.057 0.049 1.006 1.598 0. 0.


















Problem 509 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 112 112 40 135 65 107 0 0
normalized size 1 1. 0.36 1.21 0.58 0.96 0. 0.
time (sec) N/A 0.04 0.038 0.023 0.986 1.6 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 44 64 30 47 0 0
normalized size 1 1. 0.44 0.65 0.3 0.47 0. 0.
time (sec) N/A 0.031 0.023 0.02 1.013 1.575 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 46 71 43 49 0 0
normalized size 1 1. 0.51 0.79 0.48 0.54 0. 0.
time (sec) N/A 0.044 0.032 0.03 1.019 1.59 0. 0.


















Problem 512 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 48 48 35 37 55 86 0 0
normalized size 1 1. 0.73 0.77 1.15 1.79 0. 0.
time (sec) N/A 0.027 0.017 0.023 0.99 1.558 0. 0.


















Problem 513 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 88 88 40 37 93 147 0 0
normalized size 1 1. 0.45 0.42 1.06 1.67 0. 0.
time (sec) N/A 0.052 0.033 0.024 1.028 1.566 0. 0.


















Problem 514 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 88 88 40 37 131 211 0 0
normalized size 1 1. 0.45 0.42 1.49 2.4 0. 0.
time (sec) N/A 0.051 0.034 0.032 1.02 1.55 0. 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 55 132 63 155 0 234
normalized size 1 1. 0.51 1.22 0.58 1.44 0. 2.17
time (sec) N/A 0.042 0.032 0.041 1.055 1.638 0. 1.117


















Problem 516 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 93 93 46 61 34 61 0 72
normalized size 1 1. 0.49 0.66 0.37 0.66 0. 0.77
time (sec) N/A 0.028 0.023 0.015 1.019 1.533 0. 1.126


















Problem 517 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 93 93 46 61 34 61 0 72
normalized size 1 1. 0.49 0.66 0.37 0.66 0. 0.77
time (sec) N/A 0.025 0.022 0.013 0.998 1.572 0. 1.113


















Problem 518 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 88 88 39 56 26 45 0 34
normalized size 1 1. 0.44 0.64 0.3 0.51 0. 0.39
time (sec) N/A 0.019 0.014 0.013 0.961 1.591 0. 1.102


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 37 54 18 32 0 0
normalized size 1 1. 0.44 0.64 0.21 0.38 0. 0.
time (sec) N/A 0.026 0.016 0.019 1.003 1.627 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 42 61 30 43 0 0
normalized size 1 1. 0.45 0.65 0.32 0.46 0. 0.
time (sec) N/A 0.033 0.025 0.018 1.005 1.605 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 47 61 30 57 0 0
normalized size 1 1. 0.49 0.64 0.31 0.59 0. 0.
time (sec) N/A 0.029 0.026 0.019 0.983 1.548 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 90 532 373 887 0 3671
normalized size 1 1. 0.38 2.24 1.57 3.73 0. 15.42
time (sec) N/A 0.098 0.109 0.055 1.012 1.633 0. 1.398


















Problem 523 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 212 212 123 146 146 304 0 394
normalized size 1 1. 0.58 0.69 0.69 1.43 0. 1.86
time (sec) N/A 0.062 0.08 0.016 1.016 1.558 0. 1.15


















Problem 524 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 211 211 124 145 147 306 0 394
normalized size 1 1. 0.59 0.69 0.7 1.45 0. 1.87
time (sec) N/A 0.058 0.073 0.016 1.004 1.57 0. 1.142


















Problem 525 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 206 206 122 138 136 277 0 355
normalized size 1 1. 0.59 0.67 0.66 1.34 0. 1.72
time (sec) N/A 0.052 0.076 0.014 0.988 1.563 0. 1.158


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 68 127 58 99 0 0
normalized size 1 1. 0.35 0.65 0.3 0.51 0. 0.
time (sec) N/A 0.052 0.039 0.016 0.983 1.569 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 124 147 136 270 0 0
normalized size 1 1. 0.58 0.69 0.64 1.27 0. 0.
time (sec) N/A 0.07 0.094 0.024 1.037 1.589 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 124 145 136 292 0 0
normalized size 1 1. 0.57 0.67 0.62 1.34 0. 0.
time (sec) N/A 0.07 0.103 0.023 1.013 1.606 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 62 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.022 0.056 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 53 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.015 0.018 0. 0. 0. 0.


















Problem 531 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 64 64 53 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.014 0.02 0. 0. 0. 0.


















Problem 532 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 55 55 44 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.01 0.019 0. 0. 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 42 66 36 47 0 0
normalized size 1 1. 0.49 0.78 0.42 0.55 0. 0.
time (sec) N/A 0.036 0.015 0.018 0.994 1.597 0. 0.


















Problem 534 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 65 65 51 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.014 0.017 0. 0. 0. 0.


















Problem 535 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 67 67 53 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.013 0.019 0. 0. 0. 0.


















Problem 536 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 76 76 61 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.021 0.036 0. 0. 0. 0.


















Problem 537 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 64 64 55 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.018 0.069 0. 0. 0. 0.


















Problem 538 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 64 64 55 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.022 0.017 0.057 0. 0. 0. 0.


















Problem 539 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 57 57 46 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.012 0.053 0. 0. 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 76 104 95 244 0 0
normalized size 1 1. 0.48 0.65 0.6 1.53 0. 0.
time (sec) N/A 0.083 0.067 0.02 0.962 1.87 0. 0.


















Problem 541 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 65 65 53 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.015 0.059 0. 0. 0. 0.


















Problem 542 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 67 67 55 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.016 0.063 0. 0. 0. 0.


















Problem 543 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 52 52 58 0 0 163 0 0
normalized size 1 1. 1.12 0. 0. 3.13 0. 0.
time (sec) N/A 0.02 0.024 0.243 0. 1.651 0. 0.


















Problem 544 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 43 43 32 51 0 93 0 0
normalized size 1 1. 0.74 1.19 0. 2.16 0. 0.
time (sec) N/A 0.013 0.061 0.035 0. 1.644 0. 0.


















Problem 545 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 130 130 80 0 0 231 0 0
normalized size 1 1. 0.62 0. 0. 1.78 0. 0.
time (sec) N/A 0.055 0.065 0.241 0. 1.693 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 59 0 0 171 0 0
normalized size 1 1. 0.58 0. 0. 1.68 0. 0.
time (sec) N/A 0.044 0.044 0.092 0. 1.673 0. 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 124 75 0 0 401 0 0
normalized size 1 1.06 0.64 0. 0. 3.43 0. 0.
time (sec) N/A 0.064 0.033 0.05 0. 1.622 0. 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 54 148 80 161 0 0
normalized size 1 1. 0.52 1.44 0.78 1.56 0. 0.
time (sec) N/A 0.065 0.029 0.071 1.001 1.652 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 93 973 0 761 0 0
normalized size 1 1. 0.84 8.77 0. 6.86 0. 0.
time (sec) N/A 0.122 0.203 0.138 0. 1.665 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 80 664 0 633 0 0
normalized size 1 1. 0.92 7.63 0. 7.28 0. 0.
time (sec) N/A 0.074 0.128 0.091 0. 1.693 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 62 402 0 517 0 0
normalized size 1 1. 0.91 5.91 0. 7.6 0. 0.
time (sec) N/A 0.051 0.067 0.076 0. 1.627 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 113 0 351 0 53
normalized size 1 1. 1. 2.9 0. 9. 0. 1.36
time (sec) N/A 0.033 0.062 0.046 0. 1.574 0. 1.099


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 135 658 0 738 0 0
normalized size 1 1. 1.38 6.71 0. 7.53 0. 0.
time (sec) N/A 0.126 0.615 0.114 0. 1.71 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 112 958 0 938 0 0
normalized size 1 1. 0.89 7.6 0. 7.44 0. 0.
time (sec) N/A 0.171 0.339 0.135 0. 1.675 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 143 1300 0 1130 0 0
normalized size 1 1. 0.87 7.93 0. 6.89 0. 0.
time (sec) N/A 0.231 0.458 0.16 0. 1.704 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 353 340 280 0 9276 0 0
normalized size 1 1. 0.96 0.79 0. 26.28 0. 0.
time (sec) N/A 0.627 0.879 0.256 0. 4.15 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 610 610 526 260 0 9999 0 0
normalized size 1 1. 0.86 0.43 0. 16.39 0. 0.
time (sec) N/A 1.152 0.773 0.215 0. 4.08 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 145 114 0 1705 0 0
normalized size 1 1. 0.86 0.67 0. 10.09 0. 0.
time (sec) N/A 0.192 0.279 0.113 0. 1.799 0. 0.


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 127 268 0 2527 0 0
normalized size 1 1. 0.62 1.31 0. 12.33 0. 0.
time (sec) N/A 0.395 0.204 0.201 0. 1.999 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 699 699 127 534 0 13524 0 0
normalized size 1 1. 0.18 0.76 0. 19.35 0. 0.
time (sec) N/A 1.493 0.15 0.398 0. 14.367 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 127 630 0 12146 0 0
normalized size 1 1. 0.31 1.52 0. 29.34 0. 0.
time (sec) N/A 0.787 0.142 0.549 0. 8.345 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 129 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.118 0.128 0.033 0. 0. 0. 0.


















Problem 563 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 136 136 129 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.106 0.025 0. 0. 0. 0.


















Problem 564 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 124 124 119 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.063 0.092 0.02 0. 0. 0. 0.


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 397 0 590 0 0
normalized size 1 1. 1. 5.36 0. 7.97 0. 0.
time (sec) N/A 0.066 0.115 0.066 0. 1.609 0. 0.


















Problem 566 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 142 142 129 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.122 0.028 0. 0. 0. 0.


















Problem 567 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 140 140 129 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.123 0.03 0. 0. 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 365 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.178 0.789 0.075 0. 0. 0. 0.


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 366 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.147 0.737 0.059 0. 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 364 0 0 0 0 0
normalized size 1 1. 2.46 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.681 0.059 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 351 0 0 0 0 0
normalized size 1 1. 2.53 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.619 0.059 0. 0. 0. 0.


















Problem 572 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 119 119 110 125 0 1554 0 0
normalized size 1 1. 0.92 1.05 0. 13.06 0. 0.
time (sec) N/A 0.095 0.149 0.108 0. 2.01 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 365 0 0 0 0 0
normalized size 1 1. 2.45 0. 0. 0. 0. 0.
time (sec) N/A 0.15 0.662 0.064 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 365 0 0 0 0 0
normalized size 1 1. 2.42 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.643 0.063 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 518 0 0 0 0 0
normalized size 1 1. 3.48 0. 0. 0. 0. 0.
time (sec) N/A 0.154 1.557 0.05 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 524 0 0 0 0 0
normalized size 1 1. 3.52 0. 0. 0. 0. 0.
time (sec) N/A 0.151 1.521 0.048 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 520 0 0 0 0 0
normalized size 1 1. 3.49 0. 0. 0. 0. 0.
time (sec) N/A 0.114 1.529 0.05 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 513 0 0 0 0 0
normalized size 1 1. 3.66 0. 0. 0. 0. 0.
time (sec) N/A 0.083 1.537 0.049 0. 0. 0. 0.


















Problem 579 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 173 173 158 209 0 1955 0 0
normalized size 1 1. 0.91 1.21 0. 11.3 0. 0.
time (sec) N/A 0.159 0.293 0.045 0. 3.164 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 150 526 0 0 0 0 0
normalized size 1 1. 3.51 0. 0. 0. 0. 0.
time (sec) N/A 0.151 1.396 0.057 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 520 0 0 0 0 0
normalized size 1 1. 3.42 0. 0. 0. 0. 0.
time (sec) N/A 0.152 1.393 0.056 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 175 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.153 0.17 0.017 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 175 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.148 0.153 0.015 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 175 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.141 0.016 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 166 0 0 0 0 0
normalized size 1 1. 1.19 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.087 0.017 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 0 0 347 0 0
normalized size 1 1. 1. 0. 0. 7.38 0. 0.
time (sec) N/A 0.033 0.066 0.033 0. 1.861 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 173 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.147 0.152 0.016 0. 0. 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 175 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.146 0.16 0.015 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 398 0 0 0 0 0
normalized size 1 1. 2.64 0. 0. 0. 0. 0.
time (sec) N/A 0.151 0.885 0.012 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 398 0 0 0 0 0
normalized size 1 1. 2.64 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.859 0.013 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 398 0 0 0 0 0
normalized size 1 1. 2.64 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.847 0.013 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 384 0 0 0 0 0
normalized size 1 1. 2.7 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.973 0.012 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 94 0 0 984 0 0
normalized size 1 1. 0.96 0. 0. 10.04 0. 0.
time (sec) N/A 0.073 0.315 0.013 0. 2.566 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 395 0 0 0 0 0
normalized size 1 1. 2.6 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.806 0.011 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 154 399 0 0 0 0 0
normalized size 1 1. 2.59 0. 0. 0. 0. 0.
time (sec) N/A 0.154 0.843 0.014 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 137 3798 0 5146 0 0
normalized size 1 1. 0.75 20.87 0. 28.27 0. 0.
time (sec) N/A 0.156 0.323 0.105 0. 2.265 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 86 1065 0 1665 0 7363
normalized size 1 1. 0.74 9.1 0. 14.23 0. 62.93
time (sec) N/A 0.069 0.136 0.067 0. 1.849 0. 1.223


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 41 205 0 371 0 752
normalized size 1 1. 0.71 3.53 0. 6.4 0. 12.97
time (sec) N/A 0.024 0.062 0.042 0. 1.891 0. 1.109


















Problem 599 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 175 175 143 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.185 0.148 0.029 0. 0. 0. 0.


















Problem 600 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 328 328 1511 0 0 0 0 0
normalized size 1 1. 4.61 0. 0. 0. 0. 0.
time (sec) N/A 0.961 2.289 0.036 0. 0. 0. 0.


















Problem 601 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 615 615 7827 0 0 0 0 0
normalized size 1 1. 12.73 0. 0. 0. 0. 0.
time (sec) N/A 10.724 6.722 0.047 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 618 0 0 0 0 0
normalized size 1 1. 3.84 0. 0. 0. 0. 0.
time (sec) N/A 0.179 3.318 0.253 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 160 160 388 0 0 0 0 0
normalized size 1 1. 2.42 0. 0. 0. 0. 0.
time (sec) N/A 0.168 0.771 0.14 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 160 160 183 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.169 0.191 0.03 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 428 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 0.173 1.521 0.02 0. 0. 0. 0.


















Problem 606 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 158 158 181 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.378 0.049 0. 0. 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 150 298 192 393 178 224
normalized size 1 1. 3.26 6.48 4.17 8.54 3.87 4.87
time (sec) N/A 0.054 0.038 0.001 1.031 1.484 0.093 1.079


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 401 1314 544 1258 559 730
normalized size 1 1. 4.51 14.76 6.11 14.13 6.28 8.2
time (sec) N/A 0.187 0.116 0.002 1.028 1.46 0.164 1.079


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 797 7550 1177 3015 1314 1708
normalized size 1 1. 5.78 54.71 8.53 21.85 9.52 12.38
time (sec) N/A 0.373 0.29 0.002 1.049 1.542 0.289 1.116


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 154 349 224 490 240 297
normalized size 1 1. 2.8 6.35 4.07 8.91 4.36 5.4
time (sec) N/A 0.053 0.021 0. 1.014 1.454 0.1 1.092


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 405 1413 593 1517 722 925
normalized size 1 1. 3.89 13.59 5.7 14.59 6.94 8.89
time (sec) N/A 0.164 0.076 0.001 0.983 1.554 0.182 1.114


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 801 7697 1242 3555 1654 2113
normalized size 1 1. 5.04 48.41 7.81 22.36 10.4 13.29
time (sec) N/A 0.315 0.041 0.001 1.005 1.568 0.318 1.152


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 219 158 0 2539 178 0
normalized size 1 1. 1.13 0.82 0. 13.16 0.92 0.
time (sec) N/A 0.438 0.154 0.065 0. 2.001 2.741 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 77 151 0 956 280 375
normalized size 1 1. 0.95 1.86 0. 11.8 3.46 4.63
time (sec) N/A 0.129 0.044 0.006 0. 1.849 1.812 1.407


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 175 140 0 1524 104 0
normalized size 1 1. 1.07 0.85 0. 9.29 0.63 0.
time (sec) N/A 0.155 0.101 0.004 0. 1.756 1.57 0.


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 129 0 598 168 247
normalized size 1 1. 1.07 3. 0. 13.91 3.91 5.74
time (sec) N/A 0.061 0.017 0.005 0. 1.755 1.025 1.383


















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 128 184 0 1040 320 0
normalized size 1 1. 1.36 1.96 0. 11.06 3.4 0.
time (sec) N/A 0.132 0.08 0.008 0. 1.992 4.866 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 206 168 0 2753 211 4884
normalized size 1 1. 1.06 0.86 0. 14.12 1.08 25.05
time (sec) N/A 0.286 0.367 0.007 0. 2.28 3.663 3.041


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 154 213 0 1782 464 138
normalized size 1 1. 1.27 1.76 0. 14.73 3.83 1.14
time (sec) N/A 0.198 0.13 0.012 0. 2.469 14.425 1.234


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 235 188 0 4215 347 0
normalized size 1 1. 1.05 0.84 0. 18.82 1.55 0.
time (sec) N/A 0.497 0.217 0.01 0. 2.175 12.059 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 263 323 0 5245 571 0
normalized size 1 1. 0.97 1.2 0. 19.43 2.11 0.
time (sec) N/A 0.579 0.549 0.017 0. 2.135 48.544 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 100 276 0 2192 493 490
normalized size 1 1. 1.03 2.85 0. 22.6 5.08 5.05
time (sec) N/A 0.135 0.139 0.02 0. 1.969 38.446 3.219


















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 247 319 0 5304 578 0
normalized size 1 1. 0.97 1.26 0. 20.88 2.28 0.
time (sec) N/A 0.388 1.084 0.018 0. 2.274 35.26 0.


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 98 270 0 2214 495 494
normalized size 1 1. 1.02 2.81 0. 23.06 5.16 5.15
time (sec) N/A 0.122 0.133 0.02 0. 2.024 25.69 3.041


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 271 364 0 6835 740 0
normalized size 1 1. 0.91 1.22 0. 22.86 2.47 0.
time (sec) N/A 0.702 1.002 0.017 0. 2.621 24.53 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 235 693 0 5200 1091 784
normalized size 1 1. 1.45 4.28 0. 32.1 6.73 4.84
time (sec) N/A 0.294 0.429 0.03 0. 3.371 167.586 3.25


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 339 1304 0 9384 0 0
normalized size 1 1. 0.97 3.75 0. 26.97 0. 0.
time (sec) N/A 1.653 1.756 0.027 0. 3.339 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 284 1014 0 9488 0 302
normalized size 1 1. 1.33 4.76 0. 44.54 0. 1.42
time (sec) N/A 0.39 0.51 0.036 0. 5.091 0. 2.834


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 408 408 384 1518 0 12725 0 0
normalized size 1 1. 0.94 3.72 0. 31.19 0. 0.
time (sec) N/A 3.676 3.256 0.034 0. 4.719 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 328 704 0 14348 0 0
normalized size 1 1. 0.96 2.06 0. 42.08 0. 0.
time (sec) N/A 0.951 4.782 0.042 0. 3.93 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 146 544 0 7896 0 873
normalized size 1 1. 0.97 3.63 0. 52.64 0. 5.82
time (sec) N/A 0.196 0.223 0.038 0. 3.283 0. 17.367


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 363 363 382 885 0 16612 0 0
normalized size 1 1. 1.05 2.44 0. 45.76 0. 0.
time (sec) N/A 1.039 5.057 0.043 0. 4.944 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 147 541 0 7795 0 873
normalized size 1 1. 0.98 3.61 0. 51.97 0. 5.82
time (sec) N/A 0.185 0.183 0.04 0. 3.314 0. 17.123


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 437 437 463 1010 0 18502 0 0
normalized size 1 1. 1.06 2.31 0. 42.34 0. 0.
time (sec) N/A 5.361 6.167 0.043 0. 6.205 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 391 4477 0 20893 0 1802
normalized size 1 1. 1.53 17.56 0. 81.93 0. 7.07
time (sec) N/A 0.486 3.991 0.068 0. 11.127 0. 17.448


















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 484 484 560 6821 0 22920 0 0
normalized size 1 1. 1.16 14.09 0. 47.36 0. 0.
time (sec) N/A 1.227 6.232 0.062 0. 8.978 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 491 5575 0 32173 0 509
normalized size 1 1. 1.51 17.15 0. 98.99 0. 1.57
time (sec) N/A 0.585 6.184 0.077 0. 17.597 0. 17.045


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 222 164 0 2772 219 0
normalized size 1 1. 1.1 0.81 0. 13.72 1.08 0.
time (sec) N/A 0.362 0.147 0.003 0. 1.656 3.704 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 80 154 0 977 332 387
normalized size 1 1. 0.92 1.77 0. 11.23 3.82 4.45
time (sec) N/A 0.127 0.042 0.004 0. 1.564 2.154 1.472


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 178 143 0 1646 124 0
normalized size 1 1. 1.05 0.84 0. 9.68 0.73 0.
time (sec) N/A 0.153 0.095 0.003 0. 1.611 1.917 0.


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 47 130 0 603 189 250
normalized size 1 1. 1.07 2.95 0. 13.7 4.3 5.68
time (sec) N/A 0.063 0.017 0.005 0. 1.556 1.356 1.43


















Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 131 190 0 1045 348 0
normalized size 1 1. 1.27 1.84 0. 10.15 3.38 0.
time (sec) N/A 0.138 0.075 0.007 0. 1.718 6.014 0.


















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 209 174 0 3001 258 5022
normalized size 1 1. 1.02 0.85 0. 14.71 1.26 24.62
time (sec) N/A 0.273 0.347 0.004 0. 1.724 4.568 3.


















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 157 222 0 1814 532 618
normalized size 1 1. 1.18 1.67 0. 13.64 4. 4.65
time (sec) N/A 0.195 0.133 0.007 0. 2.416 17.918 1.463


















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 238 197 0 4533 411 0
normalized size 1 1. 1.01 0.83 0. 19.21 1.74 0.
time (sec) N/A 0.488 0.213 0.009 0. 1.897 14.61 0.


















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 266 695 0 5463 639 0
normalized size 1 1. 0.95 2.49 0. 19.58 2.29 0.
time (sec) N/A 0.539 0.535 0.016 0. 2.118 50.054 0.


















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 103 500 0 2290 554 522
normalized size 1 1. 1. 4.85 0. 22.23 5.38 5.07
time (sec) N/A 0.138 0.135 0.017 0. 1.679 39.026 2.376


















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 250 693 0 5496 646 0
normalized size 1 1. 0.95 2.63 0. 20.9 2.46 0.
time (sec) N/A 0.368 1.035 0.016 0. 2.067 39.205 0.


















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 99 484 0 2268 525 506
normalized size 1 1. 1.01 4.94 0. 23.14 5.36 5.16
time (sec) N/A 0.127 0.129 0.019 0. 1.756 26.748 2.405


















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 238 714 0 5227 0 848
normalized size 1 1. 1.37 4.1 0. 30.04 0. 4.87
time (sec) N/A 0.295 0.425 0.027 0. 4.083 0. 2.415


















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 342 1346 0 9735 0 0
normalized size 1 1. 0.95 3.74 0. 27.04 0. 0.
time (sec) N/A 1.599 1.713 0.026 0. 2.761 0. 0.


















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 287 1047 0 9563 0 1160
normalized size 1 1. 1.26 4.59 0. 41.94 0. 5.09
time (sec) N/A 0.369 0.492 0.03 0. 10.347 0. 2.463


















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 387 1569 0 13152 0 0
normalized size 1 1. 0.91 3.71 0. 31.09 0. 0.
time (sec) N/A 3.55 3.306 0.028 0. 3.815 0. 0.


















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 353 331 3432 0 14596 0 0
normalized size 1 1. 0.94 9.72 0. 41.35 0. 0.
time (sec) N/A 0.87 4.613 0.04 0. 3.694 0. 0.


















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 149 2181 0 8080 0 979
normalized size 1 1. 0.94 13.72 0. 50.82 0. 6.16
time (sec) N/A 0.2 0.217 0.04 0. 2.966 0. 11.698


















Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 375 385 4751 0 16847 0 0
normalized size 1 1. 1.03 12.67 0. 44.93 0. 0.
time (sec) N/A 0.972 4.963 0.04 0. 4.167 0. 0.


















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 148 2132 0 7892 0 909
normalized size 1 1. 0.97 13.93 0. 51.58 0. 5.94
time (sec) N/A 0.192 0.182 0.042 0. 3.328 0. 11.762


















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 394 4606 0 20941 0 1887
normalized size 1 1. 1.46 17.06 0. 77.56 0. 6.99
time (sec) N/A 0.496 3.998 0.063 0. 14.791 0. 12.045


















Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 499 499 575 7019 0 23385 0 0
normalized size 1 1. 1.15 14.07 0. 46.86 0. 0.
time (sec) N/A 1.094 6.219 0.059 0. 7.836 0. 0.


















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 343 509 5737 0 32292 0 2847
normalized size 1 1. 1.48 16.73 0. 94.15 0. 8.3
time (sec) N/A 0.589 6.168 0.076 0. 37.718 0. 16.478


















Problem 661 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 340 340 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.691 1.136 0.023 0. 0. 0. 0.


















Problem 662 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 398 398 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.687 0.43 0.042 0. 0. 0. 0.


















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 105 140 532 107 38
normalized size 1 1. 1. 3.09 4.12 15.65 3.15 1.12
time (sec) N/A 0.036 0.013 0.002 0.97 1.077 0.092 1.081


















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 188 175 235 1289 187 62
normalized size 1 1. 3.36 3.12 4.2 23.02 3.34 1.11
time (sec) N/A 0.096 0.012 0.003 1.019 1.009 0.134 1.102









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 [411] had the largest ratio of [ 0.8 ]

Table 2.1Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 2 2 1. 15 0.133







2 A 1 1 1. 15 0.067







3 A 1 1 1. 15 0.067







4 A 3 3 1. 15 0.2







5 A 8 8 1. 11 0.727







6 A 3 2 1. 26 0.077







7 A 3 2 1. 26 0.077







8 A 3 2 1. 26 0.077







9 A 2 2 1. 26 0.077







10 A 3 2 1. 24 0.083







11 A 2 1 1. 22 0.045







12 A 3 2 1. 26 0.077







13 A 3 2 1. 26 0.077







14 A 3 2 1. 26 0.077







15 A 3 2 1. 26 0.077







16 A 3 2 1. 26 0.077







17 A 3 2 1. 26 0.077







18 A 3 2 1. 26 0.077







19 A 3 2 1. 26 0.077







20 A 3 2 1. 26 0.077







21 A 3 2 1. 26 0.077







22 A 3 2 1. 26 0.077







23 A 3 2 1. 26 0.077







24 A 4 3 1.4 26 0.115







25 A 3 2 1. 26 0.077







26 A 3 2 1. 26 0.077







27 A 4 3 1. 26 0.115







28 A 3 2 1. 26 0.077







29 A 3 2 1. 26 0.077







30 A 2 2 1. 26 0.077







31 A 3 2 1. 24 0.083







32 A 3 2 1. 22 0.091







33 A 4 3 1. 26 0.115







34 A 3 2 1. 26 0.077







35 A 3 2 1. 26 0.077







36 A 4 3 1. 26 0.115







37 A 3 2 1. 26 0.077







38 A 3 2 1. 26 0.077







39 A 4 3 1. 26 0.115







40 A 3 2 1. 26 0.077







41 A 3 2 1. 26 0.077







42 A 4 3 1. 26 0.115







43 A 3 2 1. 26 0.077







44 A 3 2 1. 26 0.077







45 A 2 2 1. 26 0.077







46 A 3 2 1. 26 0.077







47 A 3 2 1. 26 0.077







48 A 4 4 1. 26 0.154







49 A 3 2 1. 26 0.077







50 A 3 2 1. 26 0.077







51 A 3 2 1. 26 0.077







52 A 4 3 1. 26 0.115







53 A 3 2 1. 26 0.077







54 A 3 2 1. 26 0.077







55 A 4 3 1. 26 0.115







56 A 3 2 1. 26 0.077







57 A 3 2 1. 26 0.077







58 A 4 3 1. 26 0.115







59 A 3 2 1. 26 0.077







60 A 3 2 1. 26 0.077







61 A 2 2 1. 26 0.077







62 A 3 2 1. 24 0.083







63 A 3 2 1. 22 0.091







64 A 4 3 1. 26 0.115







65 A 3 2 1. 26 0.077







66 A 3 2 1. 26 0.077







67 A 4 3 1. 26 0.115







68 A 3 2 1. 26 0.077







69 A 3 2 1. 26 0.077







70 A 4 3 1. 26 0.115







71 A 3 2 1. 26 0.077







72 A 3 2 1. 26 0.077







73 A 4 3 1. 26 0.115







74 A 3 2 1. 26 0.077







75 A 3 2 1. 26 0.077







76 A 4 3 1. 26 0.115







77 A 3 2 1. 26 0.077







78 A 3 2 1. 26 0.077







79 A 4 3 1. 26 0.115







80 A 3 2 1. 26 0.077







81 A 3 2 1. 26 0.077







82 A 2 2 1. 26 0.077







83 A 3 2 1. 26 0.077







84 A 3 2 1. 26 0.077







85 A 4 4 1. 26 0.154







86 A 3 2 1. 26 0.077







87 A 3 2 1. 26 0.077







88 A 5 4 1. 26 0.154







89 A 8 8 1. 26 0.308







90 A 8 8 1. 26 0.308







91 A 3 3 1. 26 0.115







92 A 7 7 1. 24 0.292







93 A 7 7 1. 22 0.318







94 A 5 5 1. 26 0.192







95 A 8 8 1. 26 0.308







96 A 8 8 1. 26 0.308







97 A 4 3 1. 26 0.115







98 A 9 9 1. 26 0.346







99 A 9 9 1. 26 0.346







100 A 2 2 1. 26 0.077







101 A 9 8 1. 24 0.333







102 A 9 8 1. 22 0.364







103 A 4 3 1. 26 0.115







104 A 10 9 1. 26 0.346







105 A 10 9 1. 26 0.346







106 A 4 3 1. 26 0.115







107 A 11 9 1. 26 0.346







108 A 4 3 1. 26 0.115







109 A 11 9 1. 26 0.346







110 A 11 9 1. 26 0.346







111 A 2 2 1. 26 0.077







112 A 11 8 1. 24 0.333







113 A 11 8 1. 22 0.364







114 A 4 3 1. 26 0.115







115 A 12 9 1. 26 0.346







116 A 12 9 1. 26 0.346







117 A 4 3 1. 26 0.115







118 A 3 2 1. 28 0.071







119 A 3 2 1. 28 0.071







120 A 3 2 1. 28 0.071







121 A 2 2 1. 28 0.071







122 A 2 2 1. 28 0.071







123 A 2 2 1. 28 0.071







124 A 2 2 1. 26 0.077







125 A 4 3 1. 24 0.125







126 A 4 3 1. 24 0.125







127 A 4 3 1. 24 0.125







128 A 2 2 1. 24 0.083







129 A 2 2 1. 24 0.083







130 A 2 2 1. 24 0.083







131 A 2 2 1.03 22 0.091







132 A 3 3 1.04 20 0.15







133 A 3 3 1. 24 0.125







134 A 2 2 1. 24 0.083







135 A 2 2 1. 24 0.083







136 A 3 3 1. 24 0.125







137 A 2 2 1. 24 0.083







138 A 6 6 1. 18 0.333







139 A 5 5 1. 18 0.278







140 A 3 3 1. 18 0.167







141 A 7 7 1. 18 0.389







142 A 8 7 1. 18 0.389







143 A 14 8 1. 18 0.444







144 A 14 8 1. 18 0.444







145 A 13 7 1. 18 0.389







146 A 13 7 1. 18 0.389







147 A 13 7 1. 16 0.438







148 A 13 7 1. 14 0.5







149 A 14 8 1. 18 0.444







150 A 14 8 1. 18 0.444







151 A 6 4 1. 16 0.25







152 A 5 4 1. 16 0.25







153 A 4 3 1. 16 0.188







154 B 4 3 2.1 16 0.188







155 A 6 5 1. 16 0.312







156 A 4 3 1. 16 0.188







157 A 4 3 1. 16 0.188







158 A 15 10 1. 16 0.625







159 A 15 10 1. 16 0.625







160 A 14 9 1. 16 0.562







161 A 14 9 1. 16 0.562







162 A 13 8 1. 16 0.5







163 A 13 8 1. 16 0.5







164 A 13 8 1. 14 0.571







165 A 13 8 1. 12 0.667







166 A 14 9 1. 16 0.562







167 A 14 9 1. 16 0.562







168 A 15 10 1. 16 0.625







169 A 15 10 1. 16 0.625







170 A 14 8 1. 16 0.5







171 A 5 5 1. 16 0.312







172 A 13 7 1. 16 0.438







173 A 13 7 1. 16 0.438







174 A 3 3 1. 16 0.188







175 A 13 7 1. 14 0.5







176 C 13 7 2.02 12 0.583







177 A 7 7 1. 16 0.438







178 A 14 8 1. 16 0.5







179 A 14 8 1. 16 0.5







180 A 8 7 1. 16 0.438







181 A 16 10 1. 16 0.625







182 A 13 7 1. 10 0.7







183 A 3 3 1. 14 0.214







184 A 13 7 1. 14 0.5







185 A 7 7 1. 20 0.35







186 A 6 6 1. 20 0.3







187 A 6 6 1. 20 0.3







188 A 5 5 1. 20 0.25







189 A 4 4 1. 20 0.2







190 A 7 6 1. 20 0.3







191 A 7 6 1. 20 0.3







192 A 4 4 1. 20 0.2







193 A 5 5 1. 20 0.25







194 A 6 6 1. 20 0.3







195 A 7 7 1. 20 0.35







196 A 2 2 1. 20 0.1







197 A 2 2 1. 18 0.111







198 A 2 2 1. 16 0.125







199 A 2 2 1. 20 0.1







200 A 2 2 1. 20 0.1







201 A 8 7 1. 20 0.35







202 A 7 6 1. 20 0.3







203 A 7 6 1. 20 0.3







204 A 6 5 1. 20 0.25







205 A 5 4 1. 20 0.2







206 A 8 7 1. 20 0.35







207 A 8 7 1. 20 0.35







208 A 8 7 1. 20 0.35







209 A 8 7 1. 20 0.35







210 A 5 4 1. 20 0.2







211 A 6 5 1. 20 0.25







212 A 7 6 1. 20 0.3







213 A 8 7 1. 20 0.35







214 A 2 2 1. 20 0.1







215 A 2 2 1. 18 0.111







216 A 2 2 1. 16 0.125







217 A 2 2 1. 20 0.1







218 A 2 2 1. 20 0.1







219 A 6 6 1. 20 0.3







220 A 5 5 1. 20 0.25







221 A 5 5 1. 20 0.25







222 A 4 4 1. 20 0.2







223 A 3 3 1. 20 0.15







224 A 3 3 1. 20 0.15







225 A 4 4 1. 20 0.2







226 A 5 5 1. 20 0.25







227 A 6 6 1. 20 0.3







228 A 7 6 1. 20 0.3







229 A 2 2 1. 20 0.1







230 A 2 2 1. 18 0.111







231 A 2 2 1. 16 0.125







232 A 2 2 1. 20 0.1







233 A 2 2 1. 20 0.1







234 A 6 6 1. 20 0.3







235 A 5 5 1. 20 0.25







236 A 5 5 1. 20 0.25







237 A 2 2 1. 20 0.1







238 A 2 2 1. 20 0.1







239 A 5 5 1. 20 0.25







240 A 5 5 1. 20 0.25







241 A 6 6 1. 20 0.3







242 A 7 6 1. 20 0.3







243 A 2 2 1. 20 0.1







244 A 2 2 1. 18 0.111







245 A 2 2 1. 16 0.125







246 A 2 2 1. 20 0.1







247 A 2 2 1. 20 0.1







248 A 2 1 1. 20 0.05







249 A 2 1 1. 18 0.056







250 A 3 2 1. 20 0.1







251 A 4 3 1. 20 0.15







252 A 2 2 1. 22 0.091







253 A 2 2 1. 22 0.091







254 A 2 2 1. 22 0.091







255 A 2 2 1. 22 0.091







256 A 2 2 1. 20 0.1







257 A 4 4 1. 18 0.222







258 A 3 3 1. 18 0.167







259 A 2 2 1. 18 0.111







260 A 2 2 1. 18 0.111







261 A 2 2 1. 18 0.111







262 A 2 2 1. 16 0.125







263 A 2 2 1. 14 0.143







264 A 3 3 1. 18 0.167







265 A 2 2 1. 18 0.111







266 A 2 2 1. 18 0.111







267 A 3 3 1. 18 0.167







268 A 2 2 1. 18 0.111







269 A 2 2 1. 18 0.111







270 A 3 3 1. 18 0.167







271 A 2 2 1. 16 0.125







272 A 5 5 1. 16 0.312







273 A 4 3 1. 16 0.188







274 A 4 4 1. 16 0.25







275 A 2 2 1. 16 0.125







276 A 4 4 1. 14 0.286







277 A 4 3 1. 16 0.188







278 A 5 5 1. 16 0.312







279 A 4 3 1. 16 0.188







280 A 6 5 1. 16 0.312







281 A 12 9 1. 16 0.562







282 A 11 8 1. 16 0.5







283 A 11 8 1. 16 0.5







284 A 11 8 1. 16 0.5







285 A 11 8 1. 12 0.667







286 A 12 9 1. 16 0.562







287 A 12 9 1. 16 0.562







288 A 13 9 1. 16 0.562







289 A 13 9 1. 16 0.562







290 A 2 2 1. 16 0.125







291 A 5 5 1. 16 0.312







292 A 4 3 1. 16 0.188







293 A 4 4 1. 16 0.25







294 A 2 2 1. 16 0.125







295 A 4 4 1. 14 0.286







296 A 4 3 1. 16 0.188







297 A 5 5 1. 16 0.312







298 A 4 3 1. 16 0.188







299 A 6 5 1. 16 0.312







300 A 6 6 1. 16 0.375







301 A 5 5 1. 16 0.312







302 A 5 5 1. 16 0.312







303 A 5 5 1. 16 0.312







304 A 5 5 1. 12 0.417







305 A 6 6 1. 16 0.375







306 A 6 6 1. 16 0.375







307 A 7 6 1. 16 0.375







308 A 7 6 1. 16 0.375







309 A 3 2 1. 18 0.111







310 A 6 6 1. 18 0.333







311 A 5 4 1. 18 0.222







312 A 5 5 1. 18 0.278







313 A 4 3 1. 18 0.167







314 A 3 3 1. 18 0.167







315 A 4 3 1. 16 0.188







316 A 7 7 1. 18 0.389







317 A 5 4 1. 18 0.222







318 A 8 7 1. 18 0.389







319 A 8 5 1. 18 0.278







320 A 8 5 1. 18 0.278







321 A 7 4 1. 18 0.222







322 A 7 4 1. 18 0.222







323 A 7 4 1. 18 0.222







324 A 7 4 1. 14 0.286







325 A 8 5 1. 18 0.278







326 A 8 5 1. 18 0.278







327 A 3 2 1. 14 0.143







328 A 6 6 1. 14 0.429







329 A 7 5 1. 14 0.357







330 A 5 5 1. 14 0.357







331 A 10 7 1. 14 0.5







332 A 3 3 1. 14 0.214







333 A 10 6 1. 12 0.5







334 A 7 7 1. 14 0.5







335 A 7 5 1. 14 0.357







336 A 8 7 1. 14 0.5







337 A 13 10 1. 14 0.714







338 A 20 7 1. 14 0.5







339 A 9 6 1. 14 0.429







340 A 19 7 1. 14 0.5







341 A 19 6 1. 14 0.429







342 A 9 6 1. 10 0.6







343 A 20 8 1. 14 0.571







344 A 20 7 1. 14 0.5







345 A 12 9 1. 14 0.643







346 A 22 10 1. 14 0.714







347 A 3 2 1. 16 0.125







348 A 6 6 1. 16 0.375







349 A 5 4 1. 16 0.25







350 A 5 5 1. 16 0.312







351 A 10 7 1. 16 0.438







352 A 3 3 1. 16 0.188







353 A 10 6 1. 14 0.429







354 A 7 7 1. 16 0.438







355 A 5 4 1. 16 0.25







356 A 8 7 1. 16 0.438







357 A 13 10 1. 16 0.625







358 A 20 7 1. 16 0.438







359 A 19 6 1. 16 0.375







360 A 19 7 1. 16 0.438







361 A 19 6 1. 16 0.375







362 A 19 6 1. 12 0.5







363 A 22 8 1. 16 0.5







364 A 20 7 1. 16 0.438







365 A 22 9 1. 16 0.562







366 A 22 10 1. 16 0.625







367 A 3 2 1. 16 0.125







368 A 5 4 1. 16 0.25







369 A 5 4 1. 16 0.25







370 A 4 3 1. 16 0.188







371 A 4 3 1. 16 0.188







372 A 3 3 1. 16 0.188







373 A 4 3 1. 14 0.214







374 A 6 5 1. 16 0.312







375 A 5 4 1. 16 0.25







376 A 7 5 1. 16 0.312







377 A 6 5 1. 16 0.312







378 A 20 8 0.96 16 0.5







379 A 19 7 1. 16 0.438







380 A 19 7 1. 16 0.438







381 A 19 7 1.01 16 0.438







382 A 19 7 1. 12 0.583







383 A 20 8 1. 16 0.5







384 A 20 8 1. 16 0.5







385 A 3 2 1. 16 0.125







386 A 5 4 1. 16 0.25







387 A 5 4 1. 16 0.25







388 A 4 3 1. 16 0.188







389 A 4 3 1. 16 0.188







390 A 3 3 1. 16 0.188







391 A 4 3 1. 14 0.214







392 A 6 5 1. 16 0.312







393 A 5 4 1. 16 0.25







394 A 7 5 1. 16 0.312







395 A 6 5 1. 16 0.312







396 A 8 5 1. 16 0.312







397 A 7 4 1. 16 0.25







398 A 7 4 1. 16 0.25







399 A 7 4 1.14 16 0.25







400 A 7 4 1. 12 0.333







401 A 8 5 1. 16 0.312







402 A 8 5 1. 16 0.312







403 A 9 6 1. 16 0.375







404 A 9 6 1. 16 0.375







405 A 4 3 1. 16 0.188







406 A 5 4 1. 16 0.25







407 A 5 5 1. 14 0.357







408 A 3 3 1. 14 0.214







409 A 7 7 1. 14 0.5







410 A 8 7 1. 14 0.5







411 A 8 8 1. 10 0.8







412 A 7 6 1. 18 0.333







413 A 7 6 1. 18 0.333







414 A 7 6 1. 16 0.375







415 A 6 6 1. 14 0.429







416 A 5 5 1. 18 0.278







417 A 3 3 1. 18 0.167







418 A 7 7 1. 18 0.389







419 A 8 7 1. 18 0.389







420 A 8 7 1. 18 0.389







421 A 8 7 1. 18 0.389







422 A 8 7 1. 16 0.438







423 A 8 7 1. 14 0.5







424 A 7 7 1. 18 0.389







425 A 4 4 1. 18 0.222







426 A 4 4 1. 18 0.222







427 A 4 4 1. 18 0.222







428 A 8 7 1. 18 0.389







429 A 8 7 1. 18 0.389







430 A 8 7 1. 18 0.389







431 A 9 8 1. 14 0.571







432 A 8 8 1. 18 0.444







433 A 5 4 1. 18 0.222







434 A 5 5 1. 18 0.278







435 A 5 5 1. 18 0.278







436 A 5 5 1. 18 0.278







437 A 5 4 1. 18 0.222







438 A 9 8 1. 18 0.444







439 A 9 8 1. 18 0.444







440 A 6 4 1. 18 0.222







441 A 6 4 1. 16 0.25







442 A 5 4 1. 14 0.286







443 A 4 3 1. 18 0.167







444 A 4 3 1. 18 0.167







445 A 6 5 1. 18 0.278







446 A 4 3 1. 18 0.167







447 A 4 3 1. 18 0.167







448 A 4 3 1. 18 0.167







449 A 9 7 1. 16 0.438







450 A 8 7 1. 16 0.438







451 A 7 6 1. 16 0.375







452 A 4 4 1. 16 0.25







453 A 5 5 1. 16 0.312







454 A 6 6 1. 16 0.375







455 A 4 3 1. 22 0.136







456 A 5 4 1. 14 0.286







457 A 15 9 1. 14 0.643







458 A 9 6 1. 14 0.429







459 A 7 6 1. 20 0.3







460 A 4 3 1. 23 0.13







461 A 4 4 1. 22 0.182







462 A 4 3 1. 26 0.115







463 A 4 3 1. 26 0.115







464 A 3 2 1. 26 0.077







465 A 4 3 1. 26 0.115







466 A 4 3 1. 26 0.115







467 A 4 3 1. 26 0.115







468 A 4 3 1. 26 0.115







469 A 4 3 1. 26 0.115







470 A 4 3 1. 26 0.115







471 A 4 3 1. 26 0.115







472 A 4 4 1. 30 0.133







473 A 4 3 1. 28 0.107







474 A 4 3 1. 26 0.115







475 A 4 3 1. 24 0.125







476 A 3 3 1. 28 0.107







477 A 3 3 1. 28 0.107







478 C 7 3 1.11 77 0.039







479 A 4 3 1. 26 0.115







480 A 4 3 1. 26 0.115







481 A 5 4 1. 24 0.167







482 A 5 4 1. 26 0.154







483 A 5 4 1. 26 0.154







484 A 5 4 1. 26 0.154







485 A 4 3 1. 26 0.115







486 A 5 4 1. 26 0.154







487 A 5 4 1. 26 0.154







488 A 5 4 1. 26 0.154







489 A 5 4 1. 26 0.154







490 A 5 4 1. 26 0.154







491 A 4 3 1. 26 0.115







492 A 5 4 1. 26 0.154







493 A 4 3 1. 23 0.13







494 A 4 3 1. 23 0.13







495 A 2 2 1. 23 0.087







496 A 5 5 1. 21 0.238







497 A 4 3 1. 23 0.13







498 A 4 3 1. 23 0.13







499 A 4 3 1. 23 0.13







500 A 12 9 1. 25 0.36







501 A 9 9 1. 25 0.36







502 A 5 5 1. 25 0.2







503 A 6 6 1. 25 0.24







504 A 11 11 1. 25 0.44







505 A 14 11 1. 25 0.44







506 A 1 1 1. 26 0.038







507 A 1 1 1. 28 0.036







508 A 4 3 1. 32 0.094







509 A 4 3 1. 32 0.094







510 A 3 2 1. 32 0.062







511 A 4 3 1. 32 0.094







512 A 2 2 1. 32 0.062







513 A 4 3 1. 32 0.094







514 A 4 3 1. 32 0.094







515 A 5 4 1. 30 0.133







516 A 3 2 1. 28 0.071







517 A 3 2 1. 26 0.077







518 A 2 1 1. 24 0.042







519 A 3 2 1. 28 0.071







520 A 3 2 1. 28 0.071







521 A 3 2 1. 28 0.071







522 A 9 4 1. 30 0.133







523 A 3 2 1. 28 0.071







524 A 3 2 1. 26 0.077







525 A 3 2 1. 24 0.083







526 A 4 3 1. 28 0.107







527 A 3 2 1. 28 0.071







528 A 3 2 1. 28 0.071







529 A 2 2 1. 30 0.067







530 A 2 2 1. 28 0.071







531 A 2 2 1. 26 0.077







532 A 2 2 1. 24 0.083







533 A 5 5 1. 28 0.179







534 A 2 2 1. 28 0.071







535 A 2 2 1. 28 0.071







536 A 2 2 1. 30 0.067







537 A 2 2 1. 28 0.071







538 A 2 2 1. 26 0.077







539 A 2 2 1. 24 0.083







540 A 4 3 1. 28 0.107







541 A 2 2 1. 28 0.071







542 A 2 2 1. 28 0.071







543 A 2 2 1. 36 0.056







544 A 2 2 1. 31 0.065







545 A 3 3 1. 34 0.088







546 A 3 3 1. 33 0.091







547 A 3 3 1.06 35 0.086







548 A 4 3 1. 30 0.1







549 A 7 6 1. 24 0.25







550 A 6 6 1. 24 0.25







551 A 5 5 1. 24 0.208







552 A 3 3 1. 22 0.136







553 A 8 7 1. 24 0.292







554 A 8 7 1. 24 0.292







555 A 8 7 1. 24 0.292







556 A 8 5 1. 26 0.192







557 A 14 8 1. 26 0.308







558 A 4 3 1. 26 0.115







559 A 6 5 1. 26 0.192







560 A 16 10 1. 26 0.385







561 A 10 7 1. 26 0.269







562 A 3 2 1. 20 0.1







563 A 3 2 1. 18 0.111







564 A 3 2 1. 16 0.125







565 A 7 7 1. 20 0.35







566 A 3 2 1. 20 0.1







567 A 3 2 1. 20 0.1







568 A 2 2 1. 22 0.091







569 A 2 2 1. 22 0.091







570 A 2 2 1. 20 0.1







571 A 2 2 1. 18 0.111







572 A 7 6 1. 22 0.273







573 A 2 2 1. 22 0.091







574 A 2 2 1. 22 0.091







575 A 2 2 1. 22 0.091







576 A 2 2 1. 22 0.091







577 A 2 2 1. 20 0.1







578 A 2 2 1. 18 0.111







579 A 8 7 1. 22 0.318







580 A 2 2 1. 22 0.091







581 A 2 2 1. 22 0.091







582 A 2 2 1. 22 0.091







583 A 2 2 1. 22 0.091







584 A 2 2 1. 20 0.1







585 A 2 2 1. 18 0.111







586 A 3 3 1. 22 0.136







587 A 2 2 1. 22 0.091







588 A 2 2 1. 22 0.091







589 A 2 2 1. 22 0.091







590 A 2 2 1. 22 0.091







591 A 2 2 1. 20 0.1







592 A 2 2 1. 18 0.111







593 A 5 5 1. 22 0.227







594 A 2 2 1. 22 0.091







595 A 2 2 1. 22 0.091







596 A 14 3 1. 22 0.136







597 A 10 3 1. 22 0.136







598 A 6 3 1. 20 0.15







599 A 3 2 1. 22 0.091







600 A 5 3 1. 22 0.136







601 A 6 4 1. 22 0.182







602 A 2 2 1. 24 0.083







603 A 2 2 1. 24 0.083







604 A 2 2 1. 24 0.083







605 A 2 2 1. 24 0.083







606 A 2 2 1. 22 0.091







607 A 3 2 1. 28 0.071







608 A 4 3 1. 30 0.1







609 A 4 3 1. 30 0.1







610 A 3 2 1. 31 0.065







611 A 4 3 1. 33 0.091







612 A 4 3 1. 33 0.091







613 A 5 4 1. 30 0.133







614 A 6 6 1. 30 0.2







615 A 4 3 1. 30 0.1







616 A 4 4 1. 28 0.143







617 A 8 8 1. 30 0.267







618 A 5 4 1. 30 0.133







619 A 9 8 1. 30 0.267







620 A 6 5 1. 30 0.167







621 A 5 4 1. 30 0.133







622 A 5 5 1. 30 0.167







623 A 5 4 1. 30 0.133







624 A 5 5 1. 28 0.179







625 A 5 4 1. 22 0.182







626 A 9 8 1. 30 0.267







627 A 6 5 1. 30 0.167







628 A 9 8 1. 30 0.267







629 A 7 5 1. 30 0.167







630 A 6 5 1. 30 0.167







631 A 6 6 1. 30 0.2







632 A 6 5 1. 30 0.167







633 A 6 5 1. 28 0.179







634 A 6 5 1. 22 0.227







635 A 10 9 1. 30 0.3







636 A 7 6 1. 30 0.2







637 A 10 9 1. 30 0.3







638 A 5 4 1. 33 0.121







639 A 6 6 1. 33 0.182







640 A 4 3 1. 33 0.091







641 A 4 4 1. 31 0.129







642 A 8 8 1. 33 0.242







643 A 5 4 1. 33 0.121







644 A 9 8 1. 33 0.242







645 A 6 5 1. 33 0.152







646 A 5 4 1. 33 0.121







647 A 5 5 1. 33 0.152







648 A 5 4 1. 33 0.121







649 A 5 5 1. 31 0.161







650 A 9 8 1. 33 0.242







651 A 6 5 1. 33 0.152







652 A 9 8 1. 33 0.242







653 A 7 5 1. 33 0.152







654 A 6 5 1. 33 0.152







655 A 6 6 1. 33 0.182







656 A 6 5 1. 33 0.152







657 A 6 5 1. 31 0.161







658 A 10 9 1. 33 0.273







659 A 7 6 1. 33 0.182







660 A 10 9 1. 33 0.273







661 A 7 6 1. 26 0.231







662 A 10 9 1. 28 0.321







663 A 3 2 1. 24 0.083







664 A 4 3 1. 26 0.115