Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 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 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 15, 16, 18, 19, 21, 22, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 91, 92, 93, 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, 132, 134, 135, 136, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 194, 195, 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, 235, 236, 237, 240, 241, 242, 243, 244, 245, 246, 248, 249, 250, 251, 252, 253, 257, 258, 261, 262, 263, 264, 265, 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, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 338, 339, 340, 341, 342, 343, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 371, 372, 375, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 436, 437, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 454, 455, 456, 457, 458, 459, 461, 462, 463, 464, 465, 466, 467, 469, 471, 472, 474, 475, 476, 477, 478, 481, 482, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 503, 504, 506, 507, 508, 510, 512, 513, 514, 515, 522, 523, 524, 525, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 556, 557, 558, 559, 560, 561, 566, 567, 568, 569, 570, 571, 572, 573, 574, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 611, 612, 613, 616, 617, 618, 619, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 635, 638, 639, 640, 641 }

B grade: { 45, 80, 94, 95, 96, 131, 174, 175, 376, 390, 411, 418, 419, 432, 438, 453, 460, 473, 483, 500, 505, 516, 517, 518, 526, 620, 621, 622, 623, 636, 637 }

C grade: { 9, 11, 14, 17, 20, 23, 24, 36, 38, 89, 90, 133, 137, 191, 192, 193, 196, 197, 233, 234, 238, 239, 247, 254, 255, 256, 259, 260, 266, 267, 321, 322, 335, 336, 337, 347, 359, 433, 434, 435, 468, 470, 479, 480, 501, 502, 509, 511, 519, 520, 521, 609, 610, 614, 615, 634 }

F grade: { 370, 373, 374, 377, 538, 539, 540, 541, 553, 554, 555, 562, 563, 564, 565, 575, 576, 591, 592, 593}

2.1.3 Maple

A grade: { 4, 5, 16, 18, 30, 32, 40, 43, 45, 49, 54, 98, 99, 100, 101, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 118, 119, 120, 121, 122, 124, 126, 128, 141, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 162, 169, 172, 178, 179, 186, 187, 194, 205, 211, 216, 217, 218, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 298, 299, 302, 303, 304, 305, 306, 307, 308, 309, 358, 359, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 392, 393, 395, 396, 397, 398, 403, 424, 426, 445, 466, 485, 486, 487, 488, 492, 528, 529, 530, 531, 536, 537, 542, 543, 544, 545, 546, 550, 551, 552, 560, 561, 566, 567, 570, 571, 572, 573, 574, 577, 578, 579, 580, 581, 582, 583, 584, 588, 589, 590, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 625, 626, 627, 630, 631, 632, 635, 639, 640, 641 }

B grade: { 170, 171, 391, 394, 511, 633 }

C grade: { 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 25, 67, 73, 77, 78, 79, 81, 82, 83, 91, 92, 93, 103, 110, 117, 129, 130, 132, 140, 150, 166, 173, 174, 175, 176, 177, 180, 181, 182, 183, 184, 185, 188, 189, 190, 191, 192, 193, 195, 196, 197, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 261, 262, 263, 268, 269, 270, 271, 288, 289, 290, 291, 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, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 619, 620, 624, 629, 634 }

F grade: { 26, 27, 28, 29, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 47, 48, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 74, 75, 76, 80, 84, 85, 86, 87, 88, 89, 90, 94, 95, 96, 97, 102, 109, 116, 123, 125, 127, 131, 133, 134, 135, 136, 137, 138, 139, 148, 149, 160, 163, 164, 165, 167, 168, 198, 199, 200, 201, 202, 203, 204, 206, 207, 208, 209, 210, 212, 213, 214, 215, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 264, 265, 266, 267, 272, 273, 274, 292, 293, 294, 295, 296, 297, 300, 301, 353, 354, 355, 356, 357, 399, 400, 401, 402, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 425, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 489, 490, 491, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 532, 533, 534, 535, 538, 539, 540, 541, 547, 548, 549, 553, 554, 555, 556, 557, 558, 559, 562, 563, 564, 565, 568, 569, 575, 576, 585, 586, 587, 591, 592, 593, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 621, 622, 623, 628, 636, 637, 638 }

2.1.4 Maxima

A grade: { 2, 4, 8, 10, 12, 13, 16, 22, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 39, 43, 46, 47, 48, 49, 51, 52, 53, 54, 77, 78, 79, 81, 82, 83, 91, 92, 93, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 118, 119, 120, 121, 122, 129, 130, 132, 141, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 161, 162, 176, 177, 178, 179, 181, 182, 183, 198, 199, 200, 201, 202, 203, 204, 205, 216, 217, 218, 223, 224, 225, 243, 244, 245, 246, 280, 281, 282, 283, 284, 285, 286, 287, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 315, 316, 317, 323, 324, 325, 329, 330, 331, 341, 342, 350, 351, 352, 358, 371, 372, 375, 376, 393, 396, 398, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 415, 416, 417, 421, 422, 423, 424, 426, 427, 428, 433, 434, 435, 440, 441, 442, 443, 444, 445, 447, 448, 449, 450, 451, 452, 456, 457, 458, 459, 463, 465, 469, 471, 472, 481, 482, 489, 490, 491, 492, 494, 495, 496, 501, 502, 506, 507, 508, 510, 514, 519, 520, 527, 536, 537, 542, 543, 544, 545, 546, 550, 551, 552, 560, 561, 566, 567, 570, 571, 572, 573, 574, 577, 578, 579, 580, 581, 582, 583, 584, 588, 589, 590, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 625, 626, 627, 631, 632, 635, 639, 640, 641

B grade: { 6, 19, 31, 41, 45, 50, 180, 222, 340, 378, 379, 390, 391, 394, 404, 425, 439, 446, 467, 493, 512 }

C grade: { }

F grade: { 1, 3, 5, 7, 9, 11, 14, 15, 17, 18, 20, 21, 23, 24, 36, 38, 40, 42, 44, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 80, 84, 85, 86, 87, 88, 89, 90, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 109, 110, 116, 117, 123, 124, 125, 126, 127, 128, 131, 133, 134, 135, 136, 137, 138, 139, 140, 148, 149, 150, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 219, 220, 221, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 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, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 313, 314, 318, 319, 320, 321, 322, 326, 327, 328, 332, 333, 334, 335, 336, 337, 338, 339, 343, 344, 345, 346, 347, 348, 349, 353, 354, 355, 356, 357, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 373, 374, 377, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 392, 395, 397, 399, 411, 412, 413, 414, 418, 419, 420, 429, 430, 431, 432, 436, 437, 438, 453, 454, 455, 460, 461, 462, 464, 466, 468, 470, 473, 474, 475, 476, 477, 478, 479, 480, 483, 484, 485, 486, 487, 488, 497, 498, 499, 500, 503, 504, 505, 509, 511, 513, 515, 516, 517, 518, 521, 522, 523, 524, 525, 526, 528, 529, 530, 531, 532, 533, 534, 535, 538, 539, 540, 541, 547, 548, 549, 553, 554, 555, 556, 557, 558, 559, 562, 563, 564, 565, 568, 569, 575, 576, 585, 586, 587, 591, 592, 593, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 628, 629, 630, 633, 634, 636, 637, 638 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 64, 65, 66, 67, 68, 69, 73, 77, 78, 79, 91, 92, 93, 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, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 162, 163, 164, 165, 167, 168, 169, 172, 173, 177, 178, 179, 181, 184, 185, 186, 187, 189, 194, 198, 199, 200, 202, 211, 216, 217, 218, 268, 269, 270, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 329, 330, 331, 332, 333, 334, 335, 336, 337, 350, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 390, 391, 395, 398, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 415, 416, 421, 422, 423, 424, 426, 427, 428, 433, 434, 435, 440, 441, 442, 443, 444, 445, 447, 448, 449, 450, 451, 452, 456, 457, 458, 459, 463, 464, 465, 466, 468, 469, 470, 471, 472, 481, 482, 485, 486, 487, 488, 489, 490, 491, 492, 494, 495, 496, 501, 502, 507, 508, 509, 510, 513, 514, 515, 519, 520, 527, 528, 529, 530, 531, 536, 537, 542, 543, 544, 545, 546, 550, 551, 552, 560, 561, 566, 567, 570, 571, 572, 573, 574, 577, 578, 579, 580, 581, 582, 583, 584, 588, 589, 590, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 624, 625, 626, 627, 630, 631, 632, 635, 639, 640, 641 }

B grade: { 170, 171, 176, 182, 183, 190, 203, 204, 392, 417, 439, 506, 511, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 633 }

C grade: { 192, 193, 196, 197, 389, 619, 620, 621, 622, 623, 629, 634 }

F grade: { 6, 19, 31, 41, 50, 55, 56, 57, 58, 59, 60, 61, 62, 63, 70, 71, 72, 74, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 94, 95, 96, 97, 131, 132, 133, 134, 135, 136, 137, 160, 166, 174, 175, 180, 188, 191, 195, 201, 205, 206, 207, 208, 209, 210, 212, 213, 214, 215, 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, 271, 272, 273, 274, 291, 292, 293, 294, 295, 313, 314, 326, 327, 328, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 351, 352, 353, 354, 355, 356, 357, 358, 359, 370, 371, 372, 373, 374, 375, 376, 377, 393, 394, 396, 397, 399, 404, 411, 412, 413, 414, 418, 419, 420, 425, 429, 430, 431, 432, 436, 437, 438, 446, 453, 454, 455, 460, 461, 462, 467, 473, 474, 475, 476, 477, 478, 479, 480, 483, 484, 493, 497, 498, 499, 500, 503, 504, 505, 512, 516, 517, 518, 521, 522, 523, 524, 525, 526, 532, 533, 534, 535, 538, 539, 540, 541, 547, 548, 549, 553, 554, 555, 556, 557, 558, 559, 562, 563, 564, 565, 568, 569, 575, 576, 585, 586, 587, 591, 592, 593, 616, 617, 618, 628, 636, 637, 638 }

2.1.6 Sympy

A grade: { 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 16, 22, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 47, 48, 49, 51, 54, 58, 77, 78, 79, 91, 92, 93, 98, 99, 100, 101, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 118, 120, 121, 122, 124, 126, 128, 129, 130, 144, 145, 154, 155, 176, 177, 178, 179, 184, 185, 186, 187, 194, 198, 199, 200, 216, 270, 275, 278, 280, 281, 284, 285, 290, 303, 307, 312, 319, 320, 321, 386, 401, 402, 403, 405, 424, 444, 445, 466, 492, 511, 631, 632, 639 }

B grade: { }

C grade: { 45, 71, 72, 74, 169, 170, 171, 213, 214, 215 }

F grade: { 1, 6, 11, 14, 15, 17, 18, 19, 20, 21, 23, 24, 31, 36, 41, 46, 50, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 73, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 94, 95, 96, 97, 102, 103, 109, 110, 116, 117, 119, 123, 125, 127, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 146, 147, 148, 149, 150, 151, 152, 153, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 172, 173, 174, 175, 180, 181, 182, 183, 188, 189, 190, 191, 192, 193, 195, 196, 197, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 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, 271, 272, 273, 274, 276, 277, 279, 282, 283, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 304, 305, 306, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 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, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 404, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 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, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 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, 633, 634, 635, 636, 637, 638, 640, 641 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 44, 54, 77, 78, 79, 91, 92, 93, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 110, 111, 112, 113, 114, 115, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 162, 178, 179, 181, 184, 185, 186, 187, 189, 192, 193, 194, 196, 200, 202, 216, 217, 218, 268, 269, 270, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 318, 319, 320, 321, 322, 332, 333, 334, 335, 336, 337, 381, 382, 383, 384, 385, 386, 387, 388, 398, 421, 422, 423, 424, 426, 427, 428, 464, 465, 466, 468, 469, 470, 472, 485, 486, 487, 488, 489, 490, 491, 492, 494, 495, 496, 508, 509, 510, 511, 513, 514, 515, 528, 529, 530, 531, 536, 537, 542, 543, 544, 545, 546, 550, 551, 552, 560, 561, 566, 567, 570, 571, 572, 573, 574, 577, 578, 579, 580, 581, 582, 583, 584, 588, 589, 590, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 625, 626, 627, 630, 631, 632, 635, 639, 640, 641 }

B grade: { 10, 12, 25, 43, 46, 47, 48, 49, 51, 52, 53, 109, 116, 117, 148, 149, 176, 177, 182, 183, 190, 191, 197, 198, 199, 203, 204, 310, 311, 315, 316, 317, 323, 324, 325, 329, 330, 331, 350, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 415, 416, 417, 442, 443, 444, 445, 447, 448, 449, 450, 451, 452, 456, 457, 458, 459, 463, 471, 481, 482, 629, 633 }

C grade: { }

F grade: { 6, 19, 31, 41, 45, 50, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 94, 95, 96, 97, 131, 132, 133, 134, 135, 136, 137, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 180, 188, 195, 201, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 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, 271, 272, 273, 274, 291, 292, 293, 294, 295, 313, 314, 326, 327, 328, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 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, 389, 390, 391, 392, 393, 394, 395, 396, 397, 399, 404, 411, 412, 413, 414, 418, 419, 420, 425, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 446, 453, 454, 455, 460, 461, 462, 467, 473, 474, 475, 476, 477, 478, 479, 480, 483, 484, 493, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 512, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 532, 533, 534, 535, 538, 539, 540, 541, 547, 548, 549, 553, 554, 555, 556, 557, 558, 559, 562, 563, 564, 565, 568, 569, 575, 576, 585, 586, 587, 591, 592, 593, 616, 617, 618, 619, 620, 621, 622, 623, 624, 628, 634, 636, 637, 638 }

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 C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 74 229 0 436 0 96
normalized size 1 1. 0.92 2.86 0. 5.45 0. 1.2
time (sec) N/A 0.047 0.044 0.499 0. 2.103 0. 1.212


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 183 74 127 70 131
normalized size 1 1. 1. 3.1 1.25 2.15 1.19 2.22
time (sec) N/A 0.049 0.015 0.414 1.104 2.021 8.442 1.22


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 62 217 0 350 121 80
normalized size 1 1. 0.94 3.29 0. 5.3 1.83 1.21
time (sec) N/A 0.037 0.023 0.421 0. 1.986 56.764 1.192


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 34 50 59 89 56 58
normalized size 1 1. 0.97 1.43 1.69 2.54 1.6 1.66
time (sec) N/A 0.024 0.009 0.097 1.097 1.947 3.694 1.182


















Problem 5 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 45 45 45 38 0 250 90 55
normalized size 1 1. 1. 0.84 0. 5.56 2. 1.22
time (sec) N/A 0.018 0.012 0.066 0. 2.065 15.841 1.193


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 232 108 0 0 0
normalized size 1 1. 0.98 5.27 2.45 0. 0. 0.
time (sec) N/A 0.046 0.007 0.434 1.228 0. 0. 0.


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 183 0 228 377 54
normalized size 1 1. 1. 4.16 0. 5.18 8.57 1.23
time (sec) N/A 0.02 0.009 0.333 0. 2.057 44.26 1.168


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 45 45 173 59 103 82 78
normalized size 1 1.18 1.18 4.55 1.55 2.71 2.16 2.05
time (sec) N/A 0.037 0.003 0.279 1.129 2.029 6.96 1.237


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 49 211 0 311 774 78
normalized size 1 1. 0.82 3.52 0. 5.18 12.9 1.3
time (sec) N/A 0.03 0.003 0.34 0. 1.859 178.799 1.228


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 56 198 73 134 102 178
normalized size 1 1. 0.88 3.09 1.14 2.09 1.59 2.78
time (sec) N/A 0.052 0.037 0.295 1.07 2.09 21.474 1.282


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 49 235 0 390 0 96
normalized size 1 1. 0.66 3.18 0. 5.27 0. 1.3
time (sec) N/A 0.037 0.003 0.362 0. 2.077 0. 1.284


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 68 206 93 163 116 258
normalized size 1 1. 0.87 2.64 1.19 2.09 1.49 3.31
time (sec) N/A 0.06 0.065 0.286 1.045 2.062 54.435 1.176


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 183 74 128 70 131
normalized size 1 1. 1. 3.1 1.25 2.17 1.19 2.22
time (sec) N/A 0.049 0.013 0.556 1.173 1.872 34.772 1.164


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 69 196 0 406 0 219
normalized size 1 1. 0.43 1.23 0. 2.55 0. 1.38
time (sec) N/A 0.129 0.003 0.452 0. 2.148 0. 1.273


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 147 194 0 356 0 216
normalized size 1 1. 0.94 1.24 0. 2.27 0. 1.38
time (sec) N/A 0.114 0.05 0.513 0. 2.044 0. 1.286


















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 35 35 34 50 59 89 56 58
normalized size 1 1. 0.97 1.43 1.69 2.54 1.6 1.66
time (sec) N/A 0.029 0.01 0.062 1.157 1.922 7.53 1.273


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 53 184 0 381 0 203
normalized size 1 1. 0.36 1.25 0. 2.59 0. 1.38
time (sec) N/A 0.085 0.003 0.518 0. 2.089 0. 1.25


















Problem 18 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 133 133 129 113 0 288 0 193
normalized size 1 1. 0.97 0.85 0. 2.17 0. 1.45
time (sec) N/A 0.082 0.037 0.062 0. 2.083 0. 1.199


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 180 108 0 0 0
normalized size 1 1. 0.98 4.09 2.45 0. 0. 0.
time (sec) N/A 0.048 0.007 0.431 1.071 0. 0. 0.


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 47 184 0 311 0 186
normalized size 1 1. 0.35 1.38 0. 2.34 0. 1.4
time (sec) N/A 0.078 0.003 0.317 0. 2.017 0. 1.248


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 134 197 0 366 0 186
normalized size 1 1. 0.96 1.42 0. 2.63 0. 1.34
time (sec) N/A 0.075 0.033 0.322 0. 2.018 0. 1.307


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 173 59 103 82 78
normalized size 1 1. 1. 3.84 1.31 2.29 1.82 1.73
time (sec) N/A 0.039 0.003 0.27 1.085 1.907 22.911 1.221


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 49 215 0 348 0 207
normalized size 1 1. 0.32 1.42 0. 2.3 0. 1.37
time (sec) N/A 0.095 0.003 0.323 0. 2.454 0. 1.263


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 49 216 0 412 0 208
normalized size 1 1. 0.32 1.43 0. 2.73 0. 1.38
time (sec) N/A 0.091 0.003 0.322 0. 2.373 0. 1.176


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 56 198 73 134 102 178
normalized size 1 1. 0.88 3.09 1.14 2.09 1.59 2.78
time (sec) N/A 0.051 0.037 0.273 1.158 2.224 80.932 1.321


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 85 0 100 207 122 117
normalized size 1 1. 0.96 0. 1.12 2.33 1.37 1.31
time (sec) N/A 0.055 0.046 0.358 1.061 2.334 34.223 1.33


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 74 0 86 177 109 101
normalized size 1 1. 0.99 0. 1.15 2.36 1.45 1.35
time (sec) N/A 0.04 0.032 0.236 1.21 2.283 16.462 1.299


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 62 0 69 149 95 85
normalized size 1 1. 1.02 0. 1.13 2.44 1.56 1.39
time (sec) N/A 0.032 0.024 0.068 1.205 2.149 6.513 1.29


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 40 0 54 116 82 69
normalized size 1 1. 0.85 0. 1.15 2.47 1.74 1.47
time (sec) N/A 0.021 0.017 0.081 1.169 2.126 4.218 1.318


















Problem 30 Optimal Rubi Mathematica Maple 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 37 30 36 81 48 43
normalized size 1 1. 1.37 1.11 1.33 3. 1.78 1.59
time (sec) N/A 0.009 0.002 0.06 1.144 2.205 1.318 1.277


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 41 0 112 0 0 0
normalized size 1 1. 1.02 0. 2.8 0. 0. 0.
time (sec) N/A 0.037 0.003 0.079 1.224 0. 0. 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 48 68 77 39 69
normalized size 1 1. 1. 1.6 2.27 2.57 1.3 2.3
time (sec) N/A 0.021 0.004 0.058 1.085 2.156 2.927 1.337


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 0 85 124 66 95
normalized size 1 1. 1. 0. 1.44 2.1 1.12 1.61
time (sec) N/A 0.035 0.014 0.273 1.056 2.222 6.976 1.321


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 73 0 100 151 80 113
normalized size 1 1. 1. 0. 1.37 2.07 1.1 1.55
time (sec) N/A 0.05 0.017 0.07 1.096 2.272 11.248 1.283


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 87 0 115 181 94 130
normalized size 1 1. 1. 0. 1.32 2.08 1.08 1.49
time (sec) N/A 0.056 0.021 0.069 1.09 2.303 73.274 1.2


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 49 0 0 401 0 101
normalized size 1 1. 0.68 0. 0. 5.57 0. 1.4
time (sec) N/A 0.038 0.006 0.333 0. 2.324 0. 1.198


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 56 0 59 127 87 80
normalized size 1 1. 1.1 0. 1.16 2.49 1.71 1.57
time (sec) N/A 0.034 0.02 0.245 1.08 2.321 29.732 1.211


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 47 0 0 320 146 85
normalized size 1 1. 0.81 0. 0. 5.52 2.52 1.47
time (sec) N/A 0.027 0.002 0.247 0. 2.216 85.137 1.178


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 45 0 45 100 71 63
normalized size 1 1. 1.22 0. 1.22 2.7 1.92 1.7
time (sec) N/A 0.014 0.003 0.245 1.189 2.207 11.847 1.17


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 43 38 0 244 109 57
normalized size 1 1. 1.05 0.93 0. 5.95 2.66 1.39
time (sec) N/A 0.015 0.008 0.063 0. 2.193 24.001 1.249


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 45 0 120 0 0 0
normalized size 1 1. 1.02 0. 2.73 0. 0. 0.
time (sec) N/A 0.04 0.003 0.276 1.149 0. 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 52 0 0 261 129 73
normalized size 1 1. 1.04 0. 0. 5.22 2.58 1.46
time (sec) N/A 0.027 0.014 0.235 0. 2.273 59.999 1.26


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 34 50 73 93 58 88
normalized size 1 1. 0.97 1.43 2.09 2.66 1.66 2.51
time (sec) N/A 0.026 0.008 0.059 1.123 2.119 11.744 1.278


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 70 0 0 362 177 99
normalized size 1 1. 1.03 0. 0. 5.32 2.6 1.46
time (sec) N/A 0.036 0.021 0.273 0. 2.31 126.087 1.289


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 34 9 47 31 8 0
normalized size 1 1. 4.25 1.12 5.88 3.88 1. 0.
time (sec) N/A 0.008 0.003 0.059 1.043 2.245 4.317 0.


















Problem 46 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 153 153 134 0 162 313 0 601
normalized size 1 1. 0.88 0. 1.06 2.05 0. 3.93
time (sec) N/A 0.118 0.131 0.299 1.101 2.466 0. 1.304


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 112 0 132 248 119 450
normalized size 1 1. 0.91 0. 1.07 2.02 0.97 3.66
time (sec) N/A 0.088 0.053 0.062 1.073 2.364 162.442 1.237


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 88 0 103 190 92 298
normalized size 1 1. 0.95 0. 1.11 2.04 0.99 3.2
time (sec) N/A 0.06 0.036 0.063 1.06 2.364 8.125 1.306


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 46 68 130 61 131
normalized size 1 1. 1. 0.87 1.28 2.45 1.15 2.47
time (sec) N/A 0.028 0.024 0.065 1.057 2.423 2.1 1.307


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 47 0 107 0 0 0
normalized size 1 1. 1.02 0. 2.33 0. 0. 0.
time (sec) N/A 0.04 0.003 0.266 1.068 0. 0. 0.


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 55 0 72 136 406 178
normalized size 1 1. 0.87 0. 1.14 2.16 6.44 2.83
time (sec) N/A 0.045 0.04 0.065 1.035 2.263 91.81 1.202


















Problem 52 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 100 100 90 0 103 208 0 313
normalized size 1 1. 0.9 0. 1.03 2.08 0. 3.13
time (sec) N/A 0.063 0.044 0.27 1.062 2.206 0. 1.3


















Problem 53 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 130 130 114 0 132 269 0 437
normalized size 1 1. 0.88 0. 1.02 2.07 0. 3.36
time (sec) N/A 0.079 0.063 0.067 1.125 2.271 0. 1.328


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 33 40 42 73 133 42
normalized size 1 1. 1.03 1.25 1.31 2.28 4.16 1.31
time (sec) N/A 0.018 0.009 0.06 1.006 2.089 1.288 1.249


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.027 1.043 0. 0. 0. 0.


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.027 1.053 0. 0. 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 56 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.025 0.851 0. 0. 0. 0.


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 56 0 0 0 201 0
normalized size 1 1. 0.84 0. 0. 0. 3. 0.
time (sec) N/A 0.041 0.016 2.666 0. 0. 52.695 0.


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 76 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.03 3.868 0. 0. 0. 0.


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 76 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.031 4.389 0. 0. 0. 0.


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 76 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.051 0.034 0.328 0. 0. 0. 0.


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 77 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.037 0.389 0. 0. 0. 0.


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 77 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.037 2.053 0. 0. 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 92 0 0 254 0 0
normalized size 1 1. 0.65 0. 0. 1.8 0. 0.
time (sec) N/A 0.077 0.077 1.82 0. 2.172 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 74 0 0 204 0 0
normalized size 1 1. 0.66 0. 0. 1.82 0. 0.
time (sec) N/A 0.057 0.041 1.887 0. 2.093 0. 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 48 0 0 127 0 0
normalized size 1 1. 0.7 0. 0. 1.84 0. 0.
time (sec) N/A 0.043 0.033 1.869 0. 2.013 0. 0.


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 46 201 0 155 0 0
normalized size 1 1. 0.92 4.02 0. 3.1 0. 0.
time (sec) N/A 0.047 0.008 2.547 0. 2.071 0. 0.


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 57 0 0 159 0 0
normalized size 1 1. 0.71 0. 0. 1.99 0. 0.
time (sec) N/A 0.036 0.018 1.819 0. 2.077 0. 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 76 0 0 240 0 0
normalized size 1 1. 0.63 0. 0. 2. 0. 0.
time (sec) N/A 0.058 0.048 1.854 0. 2.072 0. 0.


















Problem 70 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 65 65 61 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.031 1.69 0. 0. 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 61 0 0 0 104 0
normalized size 1 1. 0.94 0. 0. 0. 1.6 0.
time (sec) N/A 0.024 0.032 1.892 0. 0. 38.355 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 52 0 0 0 48 0
normalized size 1 1. 0.96 0. 0. 0. 0.89 0.
time (sec) N/A 0.02 0.029 1.6 0. 0. 4.677 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 177 0 150 0 0
normalized size 1 1. 0.98 4.02 0. 3.41 0. 0.
time (sec) N/A 0.04 0.003 2.52 0. 2.048 0. 0.


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 59 0 0 0 46 0
normalized size 1 1. 0.89 0. 0. 0. 0.7 0.
time (sec) N/A 0.032 0.032 1.523 0. 0. 14.765 0.


















Problem 75 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 72 72 62 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.027 1.554 0. 0. 0. 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 62 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.026 1.529 0. 0. 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 175 200 1436 196 412 267 439
normalized size 1 0.81 0.93 6.68 0.91 1.92 1.24 2.04
time (sec) N/A 0.299 0.067 0.519 1.061 2.083 87.557 1.273


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 105 1242 162 316 209 279
normalized size 1 1. 0.72 8.57 1.12 2.18 1.44 1.92
time (sec) N/A 0.153 0.056 0.492 1.051 1.909 19.35 1.232


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 63 1034 131 216 139 130
normalized size 1 1. 1.03 16.95 2.15 3.54 2.28 2.13
time (sec) N/A 0.05 0.009 0.497 1.031 1.973 3.583 1.286


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 163 0 0 0 0 0
normalized size 1 1. 2.26 0. 0. 0. 0. 0.
time (sec) N/A 0.113 0.06 0.849 0. 0. 0. 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 93 841 159 0 0 0
normalized size 1 1. 1.16 10.51 1.99 0. 0. 0.
time (sec) N/A 0.084 0.024 0.494 1.069 0. 0. 0.


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 147 137 1080 192 0 0 0
normalized size 1 1.14 1.06 8.37 1.49 0. 0. 0.
time (sec) N/A 0.269 0.079 0.5 1.117 0. 0. 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 211 205 1289 234 0 0 0
normalized size 1 1.09 1.06 6.68 1.21 0. 0. 0.
time (sec) N/A 0.407 0.054 0.516 1.055 0. 0. 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 336 336 248 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.408 0.195 0.576 0. 0. 0. 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 223 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.323 0.135 0.984 0. 0. 0. 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 193 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.267 0.081 0.844 0. 0. 0. 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 173 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.169 0.052 0.884 0. 0. 0. 0.


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 207 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.285 0.091 0.964 0. 0. 0. 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 277 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.32 0.272 0.963 0. 0. 0. 0.


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 338 334 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.377 0.224 0.945 0. 0. 0. 0.


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 334 334 309 5905 323 780 561 803
normalized size 1 1. 0.93 17.68 0.97 2.34 1.68 2.4
time (sec) N/A 0.358 0.195 0.941 1.12 1.81 50.409 1.256


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 237 4942 274 587 450 486
normalized size 1 1. 1.12 23.42 1.3 2.78 2.13 2.3
time (sec) N/A 0.205 0.086 0.87 1.062 2.185 24.007 1.309


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 87 3925 221 393 301 228
normalized size 1 1. 0.94 42.2 2.38 4.23 3.24 2.45
time (sec) N/A 0.066 0.012 0.843 1.094 1.861 7.32 1.285


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 279 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 0.161 0.097 0.868 0. 0. 0. 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 302 0 0 0 0 0
normalized size 1 1. 2.54 0. 0. 0. 0. 0.
time (sec) N/A 0.145 0.287 1.296 0. 0. 0. 0.


















Problem 96 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 219 236 478 0 0 0 0 0
normalized size 1 1.08 2.18 0. 0. 0. 0. 0.
time (sec) N/A 0.434 0.344 1.501 0. 0. 0. 0.


















Problem 97 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 352 331 571 0 0 0 0 0
normalized size 1 0.94 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.745 0.393 1.332 0. 0. 0. 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 379 0 909 0 0 0 0 0
normalized size 1 0. 2.4 0. 0. 0. 0. 0.
time (sec) N/A 0.834 3.753 13.369 0. 0. 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 289 0 789 0 0 0 0 0
normalized size 1 0. 2.73 0. 0. 0. 0. 0.
time (sec) N/A 0.434 3.356 0.866 0. 0. 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 50 0 505 0 0 0 0 0
normalized size 1 0. 10.1 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.781 2.409 0. 0. 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 253 0 851 0 0 0 0 0
normalized size 1 0. 3.36 0. 0. 0. 0. 0.
time (sec) N/A 0.351 2.622 6.689 0. 0. 0. 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 96 0 0 162 0 99
normalized size 1 1. 0.9 0. 0. 1.51 0. 0.93
time (sec) N/A 0.154 0.139 0.484 0. 2.268 0. 1.279


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 317 0 72 0 42
normalized size 1 1. 1. 6.22 0. 1.41 0. 0.82
time (sec) N/A 0.058 0.041 1.23 0. 2.235 0. 1.284


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.18 0.49 0. 0. 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.33 0.507 0. 0. 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.287 0.464 0. 0. 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.004 0.009 0.428 0. 0. 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.397 0.472 0. 0. 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 157 0 0 338 0 402
normalized size 1 1. 1.14 0. 0. 2.45 0. 2.91
time (sec) N/A 0.207 0.153 5.273 0. 2.282 0. 1.354


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 97 466 0 194 0 190
normalized size 1 1. 1.17 5.61 0. 2.34 0. 2.29
time (sec) N/A 0.072 0.044 1.129 0. 2.216 0. 1.265


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.277 1.759 0. 0. 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 1.46 3.458 0. 0. 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.331 3.284 0. 0. 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.004 0.366 3.365 0. 0. 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 1.2 3.452 0. 0. 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 185 0 0 629 0 1134
normalized size 1 1. 0.91 0. 0. 3.08 0. 5.56
time (sec) N/A 0.289 0.193 5.264 0. 2.205 0. 1.248


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 113 761 0 378 0 548
normalized size 1 1. 0.99 6.68 0. 3.32 0. 4.81
time (sec) N/A 0.093 0.054 1.2 0. 2.256 0. 1.282


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.551 3.704 0. 0. 0. 0.


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 2.835 3.746 0. 0. 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.537 3.486 0. 0. 0. 0.


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.004 0.462 3.435 0. 0. 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 2.158 3.457 0. 0. 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 41 0 0 140 0 51
normalized size 1 1. 0.91 0. 0. 3.11 0. 1.13
time (sec) N/A 0.095 0.085 0.352 0. 1.873 0. 1.187


















Problem 124 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 20 20 20 23 0 53 27 26
normalized size 1 1. 1. 1.15 0. 2.65 1.35 1.3
time (sec) N/A 0.027 0.014 0.074 0. 1.912 2.794 1.316


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 66 0 0 235 0 120
normalized size 1 1. 0.93 0. 0. 3.31 0. 1.69
time (sec) N/A 0.125 0.107 0.103 0. 1.943 0. 1.218


















Problem 126 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 47 47 43 59 0 130 49 61
normalized size 1 1. 0.91 1.26 0. 2.77 1.04 1.3
time (sec) N/A 0.043 0.019 0.07 0. 1.948 2.807 1.277


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 87 0 0 325 0 190
normalized size 1 1. 0.69 0. 0. 2.56 0. 1.5
time (sec) N/A 0.17 0.12 0.088 0. 2.058 0. 1.285


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 55 94 0 185 70 92
normalized size 1 1. 0.75 1.29 0. 2.53 0.96 1.26
time (sec) N/A 0.059 0.023 0.068 0. 1.906 2.98 1.283


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 105 1242 162 317 206 298
normalized size 1 1. 0.7 8.28 1.08 2.11 1.37 1.99
time (sec) N/A 0.156 0.064 0.681 1.071 2.041 54.527 1.22


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 63 1036 131 216 160 140
normalized size 1 1. 0.95 15.7 1.98 3.27 2.42 2.12
time (sec) N/A 0.056 0.01 0.556 1.064 1.889 12.317 1.25


















Problem 131 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 77 77 163 0 0 0 0 0
normalized size 1 1. 2.12 0. 0. 0. 0. 0.
time (sec) N/A 0.108 0.097 0.908 0. 0. 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 84 771 159 0 0 0
normalized size 1 1. 0.98 8.97 1.85 0. 0. 0.
time (sec) N/A 0.084 0.037 0.619 1.088 0. 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1294 1300 823 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 1.92 1.302 0.672 0. 0. 0. 0.


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1304 1310 1090 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 1.791 0.653 1.059 0. 0. 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1137 1143 742 0 0 0 0 0
normalized size 1 1.01 0.65 0. 0. 0. 0. 0.
time (sec) N/A 1.328 0.838 1.021 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1170 1176 745 0 0 0 0 0
normalized size 1 1.01 0.64 0. 0. 0. 0. 0.
time (sec) N/A 1.344 0.838 1.02 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1328 1334 847 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 1.723 1.6 1.063 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 146 0 0 271 0 146
normalized size 1 1. 0.89 0. 0. 1.65 0. 0.89
time (sec) N/A 0.237 0.231 0.621 0. 1.905 0. 1.327


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 96 0 0 162 0 97
normalized size 1 1. 0.9 0. 0. 1.51 0. 0.91
time (sec) N/A 0.147 0.115 0.553 0. 1.84 0. 1.273


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 317 0 72 0 42
normalized size 1 1. 1. 6.22 0. 1.41 0. 0.82
time (sec) N/A 0.062 0.041 1.246 0. 1.97 0. 1.256


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.18 0.454 0. 0. 0. 0.


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.316 0.514 0. 0. 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.26 0.501 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.01 0.226 0.455 0. 0. 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.004 0.009 0.445 0. 0. 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.367 0.484 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.383 0.496 0. 0. 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 290 0 0 494 0 667
normalized size 1 1. 1.49 0. 0. 2.53 0. 3.42
time (sec) N/A 0.381 0.26 3.678 0. 1.851 0. 1.294


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 157 0 0 338 0 436
normalized size 1 1. 1.11 0. 0. 2.4 0. 3.09
time (sec) N/A 0.208 0.134 5.191 0. 1.971 0. 1.311


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 97 466 0 194 0 208
normalized size 1 1. 1.17 5.61 0. 2.34 0. 2.51
time (sec) N/A 0.082 0.045 1.288 0. 1.986 0. 1.286


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.293 1.929 0. 0. 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 1.435 3.464 0. 0. 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.332 3.507 0. 0. 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.01 0.48 3.579 0. 0. 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.004 0.359 3.554 0. 0. 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 1.158 3.679 0. 0. 0. 0.


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 1.167 3.719 0. 0. 0. 0.


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 76 0 994 0 0 0 0 0
normalized size 1 0. 13.08 0. 0. 0. 0. 0.
time (sec) N/A 0.118 2.271 0.897 0. 0. 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 74 0 466 0 0 0 0 0
normalized size 1 0. 6.3 0. 0. 0. 0. 0.
time (sec) N/A 0.089 1.03 0.957 0. 0. 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.024 0.063 0. 0. 0. 0.


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.334 0.957 0. 0. 0. 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.529 5.842 0. 0. 0. 0.


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 278 171 0 0 603 0 0
normalized size 1 0.75 0.46 0. 0. 1.62 0. 0.
time (sec) N/A 0.321 0.153 2.118 0. 2.126 0. 0.


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 140 0 0 459 0 0
normalized size 1 1. 0.55 0. 0. 1.8 0. 0.
time (sec) N/A 0.187 0.111 2.066 0. 2.093 0. 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 74 0 0 282 0 0
normalized size 1 1. 0.73 0. 0. 2.79 0. 0.
time (sec) N/A 0.081 0.025 2.097 0. 2.099 0. 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 168 1473 0 0 0 0
normalized size 1 1. 1.91 16.74 0. 0. 0. 0.
time (sec) N/A 0.114 0.099 4.615 0. 0. 0. 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 148 0 0 446 0 0
normalized size 1 1. 1.19 0. 0. 3.6 0. 0.
time (sec) N/A 0.111 0.089 2.043 0. 2.444 0. 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 200 238 288 0 0 645 0 0
normalized size 1 1.19 1.44 0. 0. 3.22 0. 0.
time (sec) N/A 0.316 0.262 1.978 0. 2.234 0. 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 14 0 24 14 0
normalized size 1 1. 1. 1.08 0. 1.85 1.08 0.
time (sec) N/A 0.009 0.003 0.07 0. 2.018 4.063 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 56 0 107 78 0
normalized size 1 1. 1. 2.67 0. 5.1 3.71 0.
time (sec) N/A 0.027 0.003 0.072 0. 2.015 4.608 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 57 0 109 78 0
normalized size 1 1. 1. 2.71 0. 5.19 3.71 0.
time (sec) N/A 0.028 0.004 0.069 0. 2.123 4.75 0.


















Problem 172 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 41 41 39 41 0 123 0 0
normalized size 1 1. 0.95 1. 0. 3. 0. 0.
time (sec) N/A 0.039 0.008 0.114 0. 2.138 0. 0.


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 177 0 150 0 0
normalized size 1 1. 0.98 4.02 0. 3.41 0. 0.
time (sec) N/A 0.04 0.005 0.079 0. 2.104 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 164 1356 0 0 0 0
normalized size 1 1. 2.08 17.16 0. 0. 0. 0.
time (sec) N/A 0.1 0.058 4.447 0. 0. 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 270 6131 0 0 0 0
normalized size 1 1. 2.39 54.26 0. 0. 0. 0.
time (sec) N/A 0.148 0.1 4.84 0. 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 185 766 289 559 369 753
normalized size 1 1. 1.32 5.47 2.06 3.99 2.64 5.38
time (sec) N/A 0.077 0.203 0.611 1.068 1.996 6.666 1.162


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 121 537 184 369 223 423
normalized size 1 1. 1.08 4.79 1.64 3.29 1.99 3.78
time (sec) N/A 0.073 0.106 0.51 1.104 2.017 3.182 1.274


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 82 83 100 205 116 192
normalized size 1 1. 0.98 0.99 1.19 2.44 1.38 2.29
time (sec) N/A 0.037 0.046 0.091 1.103 2.023 1.427 1.274


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 30 47 73 37 53
normalized size 1 1. 1. 1.25 1.96 3.04 1.54 2.21
time (sec) N/A 0.009 0.006 0.069 1.043 1.906 0.54 1.181


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 242 159 0 0 0
normalized size 1 1. 0.98 4.17 2.74 0. 0. 0.
time (sec) N/A 0.05 0.004 0.633 1.06 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 52 329 88 176 0 123
normalized size 1 1. 0.76 4.84 1.29 2.59 0. 1.81
time (sec) N/A 0.027 0.048 0.358 1.018 1.969 0. 1.198


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 80 582 162 489 0 359
normalized size 1 1. 0.76 5.54 1.54 4.66 0. 3.42
time (sec) N/A 0.059 0.082 0.375 1.076 1.996 0. 1.19


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 105 873 313 894 0 668
normalized size 1 1. 0.79 6.56 2.35 6.72 0. 5.02
time (sec) N/A 0.077 0.131 0.393 1.104 2.379 0. 1.226


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 249 1330 0 1044 422 383
normalized size 1 1. 1.4 7.47 0. 5.87 2.37 2.15
time (sec) N/A 0.163 0.731 0.796 0. 2.096 82.928 1.267


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 211 965 0 709 309 247
normalized size 1 1. 1.5 6.84 0. 5.03 2.19 1.75
time (sec) N/A 0.132 0.456 0.72 0. 2.054 39.445 1.21


















Problem 186 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 99 99 83 93 0 455 160 135
normalized size 1 1. 0.84 0.94 0. 4.6 1.62 1.36
time (sec) N/A 0.079 0.026 0.078 0. 2.212 19.996 1.281


















Problem 187 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 45 45 45 38 0 250 90 55
normalized size 1 1. 1. 0.84 0. 5.56 2. 1.22
time (sec) N/A 0.019 0.013 0.073 0. 2.391 10.002 1.273


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 201 366 0 0 0 0
normalized size 1 1. 1. 1.82 0. 0. 0. 0.
time (sec) N/A 0.266 0.081 0.511 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 137 755 0 582 0 213
normalized size 1 1. 1.15 6.34 0. 4.89 0. 1.79
time (sec) N/A 0.09 0.072 0.548 0. 2.556 0. 1.223


















Problem 190 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 174 174 217 3183 0 1524 0 567
normalized size 1 1. 1.25 18.29 0. 8.76 0. 3.26
time (sec) N/A 0.145 0.589 0.504 0. 3.029 0. 1.332


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 264 738 0 0 0 753
normalized size 1 1. 0.82 2.31 0. 0. 0. 2.35
time (sec) N/A 0.742 0.485 0.783 0. 0. 0. 1.342


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 218 537 0 12299 0 509
normalized size 1 1. 0.87 2.15 0. 49.2 0. 2.04
time (sec) N/A 0.483 0.304 0.733 0. 44.593 0. 1.225


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 204 335 0 5179 0 406
normalized size 1 1. 0.89 1.46 0. 22.62 0. 1.77
time (sec) N/A 0.317 0.068 0.717 0. 13.255 0. 1.295


















Problem 194 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 133 133 129 113 0 288 236 193
normalized size 1 1. 0.97 0.85 0. 2.17 1.77 1.45
time (sec) N/A 0.087 0.039 0.072 0. 1.976 177.527 1.686


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 313 261 0 0 0 0
normalized size 1 1. 1.02 0.85 0. 0. 0. 0.
time (sec) N/A 0.517 0.15 0.589 0. 0. 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 202 1068 0 13520 0 537
normalized size 1 1. 0.69 3.66 0. 46.3 0. 1.84
time (sec) N/A 0.549 0.646 0.539 0. 14.158 0. 1.339


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) C F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 303 4085 0 26734 0 1079
normalized size 1 1. 0.77 10.45 0. 68.37 0. 2.76
time (sec) N/A 0.713 0.706 0.591 0. 40.571 0. 1.754


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 114 0 224 498 484 437
normalized size 1 1. 0.82 0. 1.61 3.58 3.48 3.14
time (sec) N/A 0.126 0.14 0.582 1.053 1.682 13.92 1.232


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 86 0 138 329 298 284
normalized size 1 1. 0.84 0. 1.35 3.23 2.92 2.78
time (sec) N/A 0.094 0.081 0.355 1.038 1.711 8.272 1.158


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 85 0 74 184 156 151
normalized size 1 1. 1.09 0. 0.95 2.36 2. 1.94
time (sec) N/A 0.056 0.027 0.109 1.026 1.685 3.926 1.266


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 114 0 215 0 0 0
normalized size 1 1. 1.01 0. 1.9 0. 0. 0.
time (sec) N/A 0.158 0.025 0.503 1.088 0. 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 81 0 115 320 0 163
normalized size 1 1. 1. 0. 1.42 3.95 0. 2.01
time (sec) N/A 0.077 0.066 0.543 1.019 2.349 0. 1.257


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 113 0 216 864 0 579
normalized size 1 1. 0.89 0. 1.7 6.8 0. 4.56
time (sec) N/A 0.119 0.196 0.544 1.051 6.633 0. 1.297


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 164 0 404 1629 0 1208
normalized size 1 1. 0.94 0. 2.31 9.31 0. 6.9
time (sec) N/A 0.172 0.283 0.539 1.088 43.007 0. 1.285


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 80 114 111 0 0 0
normalized size 1 1. 0.76 1.09 1.06 0. 0. 0.
time (sec) N/A 0.167 0.037 0.421 1.066 0. 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 239 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.756 0.843 1.456 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 176 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.248 0.276 1.411 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 77 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.06 1.257 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 123 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.083 2.635 0. 0. 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 211 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.533 0.507 3.108 0. 0. 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.523 2.648 0. 0. 0. 0.


















Problem 212 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 234 234 224 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.233 0.516 2.714 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 178 0 0 0 284 0
normalized size 1 1. 0.98 0. 0. 0. 1.57 0.
time (sec) N/A 0.176 0.254 2.775 0. 0. 120.028 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 130 0 0 0 162 0
normalized size 1 1. 0.98 0. 0. 0. 1.23 0.
time (sec) N/A 0.136 0.123 3.066 0. 0. 15.44 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 52 0 0 0 48 0
normalized size 1 1. 0.96 0. 0. 0. 0.89 0.
time (sec) N/A 0.017 0.029 0.066 0. 0. 2.951 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.012 1.59 2.352 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.012 0.181 2.131 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.012 0.204 2.204 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 183 919 0 0 0 0
normalized size 1 1. 0.73 3.68 0. 0. 0. 0.
time (sec) N/A 0.246 0.184 0.66 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 127 666 0 0 0 0
normalized size 1 1. 0.8 4.19 0. 0. 0. 0.
time (sec) N/A 0.167 0.088 0.649 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 79 427 0 0 0 0
normalized size 1 1. 0.87 4.69 0. 0. 0. 0.
time (sec) N/A 0.108 0.033 0.622 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 242 159 0 0 0
normalized size 1 1. 0.98 4.17 2.74 0. 0. 0.
time (sec) N/A 0.043 0.003 0.101 1.046 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 98 420 166 0 0 0
normalized size 1 1. 1.01 4.33 1.71 0. 0. 0.
time (sec) N/A 0.123 0.02 0.592 1.239 0. 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 139 615 211 0 0 0
normalized size 1 1. 0.95 4.21 1.45 0. 0. 0.
time (sec) N/A 0.166 0.048 0.595 1.234 0. 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 188 850 292 0 0 0
normalized size 1 1. 0.83 3.74 1.29 0. 0. 0.
time (sec) N/A 0.223 0.168 0.608 1.233 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 394 394 338 1083 0 0 0 0
normalized size 1 1. 0.86 2.75 0. 0. 0. 0.
time (sec) N/A 0.426 0.319 0.541 0. 0. 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 271 825 0 0 0 0
normalized size 1 1. 0.87 2.64 0. 0. 0. 0.
time (sec) N/A 0.334 0.161 0.465 0. 0. 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 225 576 0 0 0 0
normalized size 1 1. 0.88 2.25 0. 0. 0. 0.
time (sec) N/A 0.273 0.117 0.444 0. 0. 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 201 366 0 0 0 0
normalized size 1 1. 1. 1.82 0. 0. 0. 0.
time (sec) N/A 0.185 0.026 0.092 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 232 624 0 0 0 0
normalized size 1 1. 0.94 2.53 0. 0. 0. 0.
time (sec) N/A 0.303 0.071 0.408 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 268 831 0 0 0 0
normalized size 1 1. 0.88 2.72 0. 0. 0. 0.
time (sec) N/A 0.35 0.191 0.413 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 320 1071 0 0 0 0
normalized size 1 1. 0.86 2.89 0. 0. 0. 0.
time (sec) N/A 0.395 0.212 0.358 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 692 497 912 0 0 0 0
normalized size 1 1. 0.72 1.32 0. 0. 0. 0.
time (sec) N/A 0.891 0.601 0.665 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 643 643 504 704 0 0 0 0
normalized size 1 1. 0.78 1.09 0. 0. 0. 0.
time (sec) N/A 0.774 0.389 0.648 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 457 457 430 500 0 0 0 0
normalized size 1 1. 0.94 1.09 0. 0. 0. 0.
time (sec) N/A 0.632 0.198 0.632 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 313 261 0 0 0 0
normalized size 1 1. 1.02 0.85 0. 0. 0. 0.
time (sec) N/A 0.387 0.053 0.102 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 352 352 358 461 0 0 0 0
normalized size 1 1. 1.02 1.31 0. 0. 0. 0.
time (sec) N/A 0.565 0.053 0.586 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 510 510 424 732 0 0 0 0
normalized size 1 1. 0.83 1.44 0. 0. 0. 0.
time (sec) N/A 0.677 0.061 0.592 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 674 674 542 1025 0 0 0 0
normalized size 1 1. 0.8 1.52 0. 0. 0. 0.
time (sec) N/A 0.793 0.39 0.595 0. 0. 0. 0.


















Problem 240 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 297 297 251 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.321 0.218 0.758 0. 0. 0. 0.


















Problem 241 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 219 219 183 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.266 0.125 0.723 0. 0. 0. 0.


















Problem 242 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 151 151 149 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.212 0.057 0.742 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 114 0 215 0 0 0
normalized size 1 1. 1.01 0. 1.9 0. 0. 0.
time (sec) N/A 0.147 0.017 0.069 1.049 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 139 0 242 0 0 0
normalized size 1 1. 0.87 0. 1.52 0. 0. 0.
time (sec) N/A 0.246 0.061 0.744 1.21 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 166 0 311 0 0 0
normalized size 1 1. 0.84 0. 1.57 0. 0. 0.
time (sec) N/A 0.277 0.093 0.741 1.234 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 241 0 414 0 0 0
normalized size 1 1. 0.84 0. 1.44 0. 0. 0.
time (sec) N/A 0.329 0.216 0.733 1.289 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 421 421 375 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.586 0.418 0.773 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 353 319 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.492 0.223 0.741 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 271 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.438 0.16 0.763 0. 0. 0. 0.


















Problem 250 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 241 241 242 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.334 0.057 0.763 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 264 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.461 0.116 0.785 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 320 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.507 0.202 0.747 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 364 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.547 0.289 0.769 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 714 714 505 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.921 0.401 0.919 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 666 666 443 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 0.731 0.222 0.718 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 488 488 403 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.601 0.113 0.72 0. 0. 0. 0.


















Problem 257 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 344 344 350 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.409 0.081 0.721 0. 0. 0. 0.


















Problem 258 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 388 388 395 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.538 0.085 0.708 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 557 557 429 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.668 0.184 0.709 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 737 737 520 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.795 0.275 0.704 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 749 749 867 327 0 0 0 0
normalized size 1 1. 1.16 0.44 0. 0. 0. 0.
time (sec) N/A 0.931 0.597 0.716 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 533 533 564 504 0 0 0 0
normalized size 1 1. 1.06 0.95 0. 0. 0. 0.
time (sec) N/A 0.509 0.344 0.766 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 178 419 0 0 0 0
normalized size 1 1. 0.78 1.83 0. 0. 0. 0.
time (sec) N/A 0.229 0.111 0.533 0. 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 373 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.437 0.225 0.752 0. 0. 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 597 597 706 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.839 0.371 0.743 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 541 541 422 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.813 0.277 0.727 0. 0. 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 561 561 912 0 0 0 0 0
normalized size 1 1. 1.63 0. 0. 0. 0. 0.
time (sec) N/A 1.107 0.53 0.747 0. 0. 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 338 215 995 0 1335 0 417
normalized size 1 1. 0.64 2.94 0. 3.95 0. 1.23
time (sec) N/A 0.259 0.273 0.546 0. 2.104 0. 1.787


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 151 686 0 922 0 271
normalized size 1 1. 0.68 3.1 0. 4.17 0. 1.23
time (sec) N/A 0.171 0.12 0.533 0. 2.094 0. 1.328


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 117 416 0 504 228 147
normalized size 1 1. 1. 3.56 0. 4.31 1.95 1.26
time (sec) N/A 0.087 0.037 0.519 0. 2.075 40.402 1.325


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 533 533 564 504 0 0 0 0
normalized size 1 1. 1.06 0.95 0. 0. 0. 0.
time (sec) N/A 0.459 0.253 0.074 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 751 751 1236 0 0 0 0 0
normalized size 1 1. 1.65 0. 0. 0. 0. 0.
time (sec) N/A 1.024 3.668 1.271 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 945 945 435 0 0 0 0 0
normalized size 1 1. 0.46 0. 0. 0. 0. 0.
time (sec) N/A 1.251 0.509 0.945 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 548 548 281 0 0 0 0 0
normalized size 1 1. 0.51 0. 0. 0. 0. 0.
time (sec) N/A 0.72 0.264 1.481 0. 0. 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 2.728 6.98 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 8.451 7.441 0. 0. 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 682 0 1460 0 0 0 0 0
normalized size 1 0. 2.14 0. 0. 0. 0. 0.
time (sec) N/A 1.386 4.481 19.954 0. 0. 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 3.981 3.108 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 17.199 7.325 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 0.472 0.782 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.3 0.512 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.548 1.013 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 2.553 1.075 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 0.865 3.822 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 0.626 3.711 0. 0. 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 4.561 4.606 0. 0. 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 7.495 4.234 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 366 366 258 1311 0 1611 0 478
normalized size 1 1. 0.7 3.58 0. 4.4 0. 1.31
time (sec) N/A 0.308 0.249 0.874 0. 2.167 0. 1.301


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 178 869 0 1027 0 304
normalized size 1 1. 0.77 3.76 0. 4.45 0. 1.32
time (sec) N/A 0.177 0.208 0.723 0. 2.023 0. 1.221


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 110 402 0 562 175 158
normalized size 1 1. 1. 3.65 0. 5.11 1.59 1.44
time (sec) N/A 0.097 0.049 0.565 0. 2.06 72.981 1.33


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1165 1165 990 1180 0 0 0 0
normalized size 1 1. 0.85 1.01 0. 0. 0. 0.
time (sec) N/A 1.604 0.812 0.609 0. 0. 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1861 1863 2168 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 2.887 7.042 1.281 0. 0. 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1221 1139 1020 0 0 0 0 0
normalized size 1 0.93 0.84 0. 0. 0. 0. 0.
time (sec) N/A 1.642 0.967 1.704 0. 0. 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 835 835 475 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 1.079 0.562 1.776 0. 0. 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 395 415 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.507 0.158 1.532 0. 0. 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A F F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 13.646 180. 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A F F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 22.506 180. 0. 0. 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 1124 0 2539 0 0 0 0 0
normalized size 1 0. 2.26 0. 0. 0. 0. 0.
time (sec) N/A 2.649 9.213 105. 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 517 0 1066 0 0 0 0 0
normalized size 1 0. 2.06 0. 0. 0. 0. 0.
time (sec) N/A 0.768 2.381 64.717 0. 0. 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A F F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 17.117 180. 0. 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A F F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 37.304 180. 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 0.372 0.887 0. 0. 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.322 0.534 0. 0. 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 2.525 1.066 0. 0. 0. 0.


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 8.748 1.182 0. 0. 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.702 3.793 0. 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.532 3.905 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 7.922 4.077 0. 0. 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 14.592 4.97 0. 0. 0. 0.


















Problem 310 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 142 142 170 413 178 339 0 416
normalized size 1 1. 1.2 2.91 1.25 2.39 0. 2.93
time (sec) N/A 0.229 0.041 0.567 1.002 1.984 0. 1.174


















Problem 311 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 119 119 140 387 146 282 0 317
normalized size 1 1. 1.18 3.25 1.23 2.37 0. 2.66
time (sec) N/A 0.179 0.026 0.573 1.095 2.032 0. 1.149


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 98 361 134 216 139 200
normalized size 1 1. 1.04 3.84 1.43 2.3 1.48 2.13
time (sec) N/A 0.093 0.044 0.571 1.03 1.833 67.443 1.214


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 80 419 0 0 0 0
normalized size 1 1. 0.98 5.11 0. 0. 0. 0.
time (sec) N/A 0.111 0.019 0.567 0. 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 92 421 0 0 0 0
normalized size 1 1. 0.99 4.53 0. 0. 0. 0.
time (sec) N/A 0.127 0.028 0.499 0. 0. 0. 0.


















Problem 315 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 93 93 105 392 104 223 0 435
normalized size 1 1. 1.13 4.22 1.12 2.4 0. 4.68
time (sec) N/A 0.137 0.038 0.373 1.02 2.099 0. 1.266


















Problem 316 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 125 125 130 428 140 285 0 695
normalized size 1 1. 1.04 3.42 1.12 2.28 0. 5.56
time (sec) N/A 0.163 0.063 0.395 1.025 2.047 0. 1.284


















Problem 317 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 148 148 158 448 178 346 0 910
normalized size 1 1. 1.07 3.03 1.2 2.34 0. 6.15
time (sec) N/A 0.202 0.111 0.388 1.031 2.232 0. 1.302


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 118 453 0 693 0 186
normalized size 1 1. 0.77 2.94 0. 4.5 0. 1.21
time (sec) N/A 0.13 0.056 0.586 0. 2.375 0. 1.483


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 117 416 0 504 228 147
normalized size 1 1. 1. 3.56 0. 4.31 1.95 1.26
time (sec) N/A 0.086 0.036 0.102 0. 2.261 35.036 1.167


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 93 62 427 0 436 262 105
normalized size 1 1.29 0.86 5.93 0. 6.06 3.64 1.46
time (sec) N/A 0.084 0.046 0.586 0. 2.501 62.627 1.262


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 96 430 0 441 1469 124
normalized size 1 1. 0.89 3.98 0. 4.08 13.6 1.15
time (sec) N/A 0.1 0.039 0.566 0. 2.4 131.902 1.242


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 101 483 0 583 0 165
normalized size 1 1. 0.72 3.45 0. 4.16 0. 1.18
time (sec) N/A 0.121 0.006 0.574 0. 1.934 0. 1.33


















Problem 323 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 251 251 205 687 301 582 0 721
normalized size 1 1. 0.82 2.74 1.2 2.32 0. 2.87
time (sec) N/A 0.471 0.171 0.585 1.025 2.088 0. 1.306


















Problem 324 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 210 210 173 643 250 477 0 564
normalized size 1 1. 0.82 3.06 1.19 2.27 0. 2.69
time (sec) N/A 0.361 0.133 0.585 1.023 1.716 0. 1.317


















Problem 325 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 124 124 135 599 205 379 0 389
normalized size 1 1. 1.09 4.83 1.65 3.06 0. 3.14
time (sec) N/A 0.141 0.107 0.587 1.01 1.762 0. 1.197


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 121 652 0 0 0 0
normalized size 1 1. 0.79 4.26 0. 0. 0. 0.
time (sec) N/A 0.203 0.082 0.569 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 126 642 0 0 0 0
normalized size 1 1. 0.93 4.76 0. 0. 0. 0.
time (sec) N/A 0.193 0.078 0.583 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 148 663 0 0 0 0
normalized size 1 1. 0.86 3.85 0. 0. 0. 0.
time (sec) N/A 0.223 0.112 0.509 0. 0. 0. 0.


















Problem 329 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 130 130 141 656 185 393 0 1068
normalized size 1 1. 1.08 5.05 1.42 3.02 0. 8.22
time (sec) N/A 0.208 0.121 0.403 1.024 1.806 0. 1.339


















Problem 330 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 216 216 184 713 247 489 0 1470
normalized size 1 1. 0.85 3.3 1.14 2.26 0. 6.81
time (sec) N/A 0.29 0.161 0.408 1.022 1.853 0. 1.355


















Problem 331 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 253 253 215 748 301 587 0 1809
normalized size 1 1. 0.85 2.96 1.19 2.32 0. 7.15
time (sec) N/A 0.333 0.219 0.415 1.037 2.075 0. 1.2


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 188 761 0 1138 0 332
normalized size 1 1. 0.68 2.74 0. 4.09 0. 1.19
time (sec) N/A 0.236 0.166 0.602 0. 1.682 0. 1.27


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 151 686 0 922 0 271
normalized size 1 1. 0.68 3.1 0. 4.17 0. 1.23
time (sec) N/A 0.163 0.117 0.105 0. 1.731 0. 1.336


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 112 742 0 790 0 227
normalized size 1 1. 0.63 4.17 0. 4.44 0. 1.28
time (sec) N/A 0.155 0.136 0.606 0. 1.78 0. 1.254


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 113 700 0 744 0 208
normalized size 1 1. 0.67 4.14 0. 4.4 0. 1.23
time (sec) N/A 0.147 0.134 0.805 0. 1.678 0. 1.356


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 156 753 0 774 0 244
normalized size 1 1. 0.78 3.76 0. 3.87 0. 1.22
time (sec) N/A 0.171 0.064 0.594 0. 1.886 0. 1.314


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 161 784 0 956 0 300
normalized size 1 1. 0.64 3.11 0. 3.79 0. 1.19
time (sec) N/A 0.206 0.029 0.424 0. 1.819 0. 1.366


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 143 902 0 0 0 0
normalized size 1 1. 0.76 4.8 0. 0. 0. 0.
time (sec) N/A 0.276 0.124 0.849 0. 0. 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 91 672 0 0 0 0
normalized size 1 1. 0.81 6. 0. 0. 0. 0.
time (sec) N/A 0.188 0.041 0.68 0. 0. 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 64 472 186 0 0 0
normalized size 1 1. 0.91 6.74 2.66 0. 0. 0.
time (sec) N/A 0.095 0.007 0.649 1.015 0. 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 92 732 189 0 0 0
normalized size 1 1. 0.77 6.15 1.59 0. 0. 0.
time (sec) N/A 0.206 0.036 0.665 1.72 0. 0. 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 147 942 240 0 0 0
normalized size 1 1. 0.84 5.35 1.36 0. 0. 0.
time (sec) N/A 0.267 0.073 0.686 1.923 0. 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 667 667 691 1011 0 0 0 0
normalized size 1 1. 1.04 1.52 0. 0. 0. 0.
time (sec) N/A 0.718 0.549 0.631 0. 0. 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 585 585 680 746 0 0 0 0
normalized size 1 1. 1.16 1.28 0. 0. 0. 0.
time (sec) N/A 0.594 0.292 0.555 0. 0. 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 533 533 564 504 0 0 0 0
normalized size 1 1. 1.06 0.95 0. 0. 0. 0.
time (sec) N/A 0.425 0.158 0.082 0. 0. 0. 0.


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 581 581 673 755 0 0 0 0
normalized size 1 1. 1.16 1.3 0. 0. 0. 0.
time (sec) N/A 0.597 0.299 0.652 0. 0. 0. 0.


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 651 651 754 1005 0 0 0 0
normalized size 1 1. 1.16 1.54 0. 0. 0. 0.
time (sec) N/A 0.65 0.262 0.651 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 166 985 0 0 0 0
normalized size 1 1. 0.83 4.95 0. 0. 0. 0.
time (sec) N/A 0.283 0.222 0.713 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 131 732 0 0 0 0
normalized size 1 1. 0.85 4.72 0. 0. 0. 0.
time (sec) N/A 0.221 0.103 0.671 0. 0. 0. 0.


















Problem 350 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 83 83 63 371 100 194 0 246
normalized size 1 1. 0.76 4.47 1.2 2.34 0. 2.96
time (sec) N/A 0.074 0.052 0.382 1.014 2.069 0. 1.168


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 170 984 266 0 0 0
normalized size 1 1. 0.85 4.9 1.32 0. 0. 0.
time (sec) N/A 0.283 0.121 0.708 1.759 0. 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 208 1216 398 0 0 0
normalized size 1 1. 0.83 4.84 1.59 0. 0. 0.
time (sec) N/A 0.341 0.174 0.724 1.265 0. 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 802 802 1349 0 0 0 0 0
normalized size 1 1. 1.68 0. 0. 0. 0. 0.
time (sec) N/A 1.688 4.111 1.505 0. 0. 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 746 746 1231 0 0 0 0 0
normalized size 1 1. 1.65 0. 0. 0. 0. 0.
time (sec) N/A 1.513 3.303 1.414 0. 0. 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 751 751 1236 0 0 0 0 0
normalized size 1 1. 1.65 0. 0. 0. 0. 0.
time (sec) N/A 0.825 3.14 0.079 0. 0. 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 803 803 1438 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 1.542 4.509 1.51 0. 0. 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 128 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.145 0.042 1.373 0. 0. 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 248 214 281 0 0 0
normalized size 1 1. 1.04 0.9 1.18 0. 0. 0.
time (sec) N/A 0.29 0.12 0.293 1.584 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 468 282 0 0 0 0
normalized size 1 1. 2.16 1.3 0. 0. 0. 0.
time (sec) N/A 0.253 0.123 0.096 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 118 428 0 363 0 0
normalized size 1 1. 0.82 2.97 0. 2.52 0. 0.
time (sec) N/A 0.171 0.169 4.184 0. 2.124 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 100 410 0 323 0 0
normalized size 1 1. 0.81 3.31 0. 2.6 0. 0.
time (sec) N/A 0.142 0.112 4.243 0. 2.085 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 68 376 0 244 0 0
normalized size 1 1. 0.82 4.53 0. 2.94 0. 0.
time (sec) N/A 0.11 0.058 4.306 0. 2.103 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 87 423 0 266 0 0
normalized size 1 1. 0.9 4.36 0. 2.74 0. 0.
time (sec) N/A 0.141 0.093 4.279 0. 2.133 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 104 448 0 352 0 0
normalized size 1 1. 0.83 3.56 0. 2.79 0. 0.
time (sec) N/A 0.169 0.198 4.392 0. 2.105 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 327 327 209 795 0 659 0 0
normalized size 1 1. 0.64 2.43 0. 2.02 0. 0.
time (sec) N/A 0.326 0.375 5.224 0. 2.226 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 171 734 0 551 0 0
normalized size 1 1. 0.67 2.89 0. 2.17 0. 0.
time (sec) N/A 0.267 0.259 5.136 0. 2.088 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 124 665 0 437 0 0
normalized size 1 1. 0.7 3.78 0. 2.48 0. 0.
time (sec) N/A 0.197 0.19 5.079 0. 2.16 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 150 693 0 467 0 0
normalized size 1 1. 0.78 3.59 0. 2.42 0. 0.
time (sec) N/A 0.242 0.376 5.204 0. 2.153 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 188 755 0 590 0 0
normalized size 1 1. 0.73 2.94 0. 2.3 0. 0.
time (sec) N/A 0.317 0.57 5.238 0. 2.186 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 266 266 0 695 0 0 0 0
normalized size 1 1. 0. 2.61 0. 0. 0. 0.
time (sec) N/A 0.424 4.936 1.066 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 92 532 208 0 0 0
normalized size 1 1. 0.76 4.4 1.72 0. 0. 0.
time (sec) N/A 0.195 0.075 1.197 1.44 0. 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 64 298 151 0 0 0
normalized size 1 1. 0.91 4.26 2.16 0. 0. 0.
time (sec) N/A 0.164 0.023 1.198 1.407 0. 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 221 221 0 461 0 0 0 0
normalized size 1 1. 0. 2.09 0. 0. 0. 0.
time (sec) N/A 0.412 1.427 1.067 0. 0. 0. 0.


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 419 419 0 1036 0 0 0 0
normalized size 1 1. 0. 2.47 0. 0. 0. 0.
time (sec) N/A 0.565 7.435 1.095 0. 0. 0. 0.


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 171 805 315 0 0 0
normalized size 1 1. 0.84 3.95 1.54 0. 0. 0.
time (sec) N/A 0.268 0.184 1.217 1.435 0. 0. 0.


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C A F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 433 589 282 0 0 0
normalized size 1 1. 2.78 3.78 1.81 0. 0. 0.
time (sec) N/A 0.278 1.499 1.22 1.458 0. 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 377 377 0 810 0 0 0 0
normalized size 1 1. 0. 2.15 0. 0. 0. 0.
time (sec) N/A 0.609 1.245 1.082 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 26 23 143 49 0 0
normalized size 1 1. 1.04 0.92 5.72 1.96 0. 0.
time (sec) N/A 0.157 0.069 0.083 1.402 1.696 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 26 23 147 49 0 0
normalized size 1 1. 1.04 0.92 5.88 1.96 0. 0.
time (sec) N/A 0.098 0.021 0.388 1.058 1.708 0. 0.


















Problem 380 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 26 26 34 24 0 55 0 0
normalized size 1 1. 1.31 0.92 0. 2.12 0. 0.
time (sec) N/A 0.155 0.069 0.088 0. 1.751 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 607 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 0.417 29.864 0. 0. 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 306 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 0.297 29.012 0. 0. 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.435 28.329 0. 0. 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.368 27.697 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 2.417 15.357 0. 0. 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 1.759 19.992 0. 0. 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 1.803 21.518 0. 0. 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.238 18.854 0. 0. 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 75 66 0 185 0 0
normalized size 1 1. 1.09 0.96 0. 2.68 0. 0.
time (sec) N/A 0.124 0.058 2.256 0. 1.724 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 12 34 9 80 31 0 0
normalized size 1 1.5 4.25 1.12 10. 3.88 0. 0.
time (sec) N/A 0.01 0.003 0.081 1.031 1.439 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 76 93 42 0 0
normalized size 1 1. 1. 6.33 7.75 3.5 0. 0.
time (sec) N/A 0.018 0.003 0.139 1.06 1.596 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 15 0 151 0 0
normalized size 1 1. 1. 1.07 0. 10.79 0. 0.
time (sec) N/A 0.019 0.004 0.086 0. 1.646 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 36 34 90 0 0 0
normalized size 1 1. 1.03 0.97 2.57 0. 0. 0.
time (sec) N/A 0.056 0.004 0.084 1.054 0. 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 40 108 104 0 0 0
normalized size 1 1. 1.03 2.77 2.67 0. 0. 0.
time (sec) N/A 0.047 0.004 0.093 1.028 0. 0. 0.


















Problem 395 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 47 47 44 46 0 159 0 0
normalized size 1 1. 0.94 0.98 0. 3.38 0. 0.
time (sec) N/A 0.05 0.017 0.085 0. 1.695 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 80 114 167 0 0 0
normalized size 1 1. 0.76 1.09 1.59 0. 0. 0.
time (sec) N/A 0.168 0.029 0.411 1.066 0. 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 228 335 0 0 0 0
normalized size 1 1. 1. 1.48 0. 0. 0. 0.
time (sec) N/A 0.378 0.106 0.112 0. 0. 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.471 1.703 0. 0. 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 82 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.05 0.055 2.73 0. 0. 0. 0.


















Problem 400 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 166 166 159 0 173 358 0 779
normalized size 1 1. 0.96 0. 1.04 2.16 0. 4.69
time (sec) N/A 0.136 0.131 0.415 1.045 1.822 0. 1.376


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 131 0 143 288 128 582
normalized size 1 1. 0.98 0. 1.07 2.15 0.96 4.34
time (sec) N/A 0.099 0.09 0.098 1.068 1.697 29.445 1.29


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 107 0 113 224 100 385
normalized size 1 1. 1.05 0. 1.11 2.2 0.98 3.77
time (sec) N/A 0.072 0.033 0.098 1.042 1.746 4.729 1.249


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 53 77 158 66 144
normalized size 1 1. 1. 0.88 1.28 2.63 1.1 2.4
time (sec) N/A 0.04 0.029 0.084 1.019 1.909 1.457 1.307


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 53 0 146 0 0 0
normalized size 1 1. 1.04 0. 2.86 0. 0. 0.
time (sec) N/A 0.048 0.003 0.097 1.631 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 67 0 82 161 493 252
normalized size 1 1. 0.96 0. 1.17 2.3 7.04 3.6
time (sec) N/A 0.058 0.045 0.096 1.025 2.077 96.163 1.29


















Problem 406 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 109 109 104 0 113 240 0 494
normalized size 1 1. 0.95 0. 1.04 2.2 0. 4.53
time (sec) N/A 0.074 0.037 0.099 1.038 2.131 0. 1.286


















Problem 407 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 141 141 132 0 143 308 0 732
normalized size 1 1. 0.94 0. 1.01 2.18 0. 5.19
time (sec) N/A 0.092 0.131 0.1 1.063 2.087 0. 1.338


















Problem 408 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 480 355 295 0 437 1081 0 1619
normalized size 1 0.74 0.61 0. 0.91 2.25 0. 3.37
time (sec) N/A 0.476 0.316 0.102 1.074 2.25 0. 1.37


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 342 263 223 0 347 788 0 1073
normalized size 1 0.77 0.65 0. 1.01 2.3 0. 3.14
time (sec) N/A 0.361 0.193 0.095 1.064 2.242 0. 1.279


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 150 0 242 509 0 487
normalized size 1 1. 0.77 0. 1.24 2.61 0. 2.5
time (sec) N/A 0.184 0.082 0.092 1.054 1.845 0. 1.335


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 195 0 0 0 0 0
normalized size 1 1. 2.1 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.12 0.099 0. 0. 0. 0.


















Problem 412 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 155 176 188 0 0 0 0 0
normalized size 1 1.14 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.351 0.163 0.097 0. 0. 0. 0.


















Problem 413 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 293 318 353 0 0 0 0 0
normalized size 1 1.09 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.667 0.325 0.102 0. 0. 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 408 432 538 0 0 0 0 0
normalized size 1 1.06 1.32 0. 0. 0. 0. 0.
time (sec) N/A 1.034 0.28 0.1 0. 0. 0. 0.


















Problem 415 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 907 907 577 0 899 2655 0 3444
normalized size 1 1. 0.64 0. 0.99 2.93 0. 3.8
time (sec) N/A 1.007 0.477 0.098 1.095 2.476 0. 1.414


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 595 595 433 0 724 1875 0 2283
normalized size 1 1. 0.73 0. 1.22 3.15 0. 3.84
time (sec) N/A 0.619 0.298 0.102 1.122 2.26 0. 1.267


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 241 0 514 1146 0 1030
normalized size 1 1. 0.85 0. 1.81 4.04 0. 3.63
time (sec) N/A 0.251 0.202 0.095 1.124 1.918 0. 1.175


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 333 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.196 0.155 0.102 0. 0. 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 283 536 0 0 0 0 0
normalized size 1 1.08 2.04 0. 0. 0. 0. 0.
time (sec) N/A 0.595 0.713 0.1 0. 0. 0. 0.


















Problem 420 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 573 550 841 0 0 0 0 0
normalized size 1 0.96 1.47 0. 0. 0. 0. 0.
time (sec) N/A 1.497 1.056 0.098 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 158 0 159 440 0 163
normalized size 1 1. 0.92 0. 0.93 2.57 0. 0.95
time (sec) N/A 0.132 0.133 0.42 1.051 1.786 0. 1.314


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 130 0 130 369 0 136
normalized size 1 1. 0.94 0. 0.94 2.65 0. 0.98
time (sec) N/A 0.096 0.086 0.331 1.029 1.938 0. 1.29


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 102 0 100 300 0 109
normalized size 1 1. 0.95 0. 0.93 2.8 0. 1.02
time (sec) N/A 0.073 0.028 0.335 1.06 1.796 0. 1.353


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 62 94 65 217 76 76
normalized size 1 1. 1.17 1.77 1.23 4.09 1.43 1.43
time (sec) N/A 0.034 0.031 0.093 1.04 1.791 16.978 1.345


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 53 0 167 0 0 0
normalized size 1 1. 1.04 0. 3.27 0. 0. 0.
time (sec) N/A 0.05 0.003 0.346 2.36 0. 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 68 63 101 165 0 120
normalized size 1 1. 1.05 0.97 1.55 2.54 0. 1.85
time (sec) N/A 0.051 0.033 0.103 1.062 1.932 0. 1.311


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 109 0 128 228 0 157
normalized size 1 1. 1.05 0. 1.23 2.19 0. 1.51
time (sec) N/A 0.076 0.067 0.33 1.044 1.913 0. 1.415


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 133 0 158 292 0 189
normalized size 1 1. 0.98 0. 1.16 2.15 0. 1.39
time (sec) N/A 0.097 0.086 0.328 1.024 1.886 0. 1.211


















Problem 429 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 404 428 540 0 0 0 0 0
normalized size 1 1.06 1.34 0. 0. 0. 0. 0.
time (sec) N/A 1.007 0.258 0.336 0. 0. 0. 0.


















Problem 430 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 288 311 321 0 0 0 0 0
normalized size 1 1.08 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.637 0.222 0.381 0. 0. 0. 0.


















Problem 431 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 152 174 170 0 0 0 0 0
normalized size 1 1.14 1.12 0. 0. 0. 0. 0.
time (sec) N/A 0.354 0.123 0.336 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 386 0 0 0 0 0
normalized size 1 1. 4.15 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.347 0.342 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 298 0 335 521 0 0
normalized size 1 1. 1.53 0. 1.72 2.67 0. 0.
time (sec) N/A 0.198 0.298 0.331 1.081 1.731 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 263 473 0 433 799 0 0
normalized size 1 0.77 1.39 0. 1.27 2.34 0. 0.
time (sec) N/A 0.366 0.36 0.339 1.095 1.847 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 480 355 692 0 522 1094 0 0
normalized size 1 0.74 1.44 0. 1.09 2.28 0. 0.
time (sec) N/A 0.471 0.341 0.339 1.077 1.845 0. 0.


















Problem 436 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 569 546 777 0 0 0 0 0
normalized size 1 0.96 1.37 0. 0. 0. 0. 0.
time (sec) N/A 1.492 0.978 0.427 0. 0. 0. 0.


















Problem 437 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 260 281 476 0 0 0 0 0
normalized size 1 1.08 1.83 0. 0. 0. 0. 0.
time (sec) N/A 0.616 0.665 0.427 0. 0. 0. 0.


















Problem 438 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 135 135 532 0 0 0 0 0
normalized size 1 1. 3.94 0. 0. 0. 0. 0.
time (sec) N/A 0.198 0.263 0.347 0. 0. 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 285 285 558 0 767 1162 0 0
normalized size 1 1. 1.96 0. 2.69 4.08 0. 0.
time (sec) N/A 0.272 0.615 0.362 1.17 1.868 0. 0.


















Problem 440 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 595 595 766 0 988 1894 0 0
normalized size 1 1. 1.29 0. 1.66 3.18 0. 0.
time (sec) N/A 0.642 1.004 0.344 1.155 1.883 0. 0.


















Problem 441 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 907 907 950 0 1166 2684 0 0
normalized size 1 1. 1.05 0. 1.29 2.96 0. 0.
time (sec) N/A 1.011 1.548 0.391 1.163 1.99 0. 0.


















Problem 442 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 234 234 219 0 232 513 0 714
normalized size 1 1. 0.94 0. 0.99 2.19 0. 3.05
time (sec) N/A 0.188 0.229 0.434 1.024 1.818 0. 1.25


















Problem 443 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 185 185 176 0 189 392 0 540
normalized size 1 1. 0.95 0. 1.02 2.12 0. 2.92
time (sec) N/A 0.134 0.136 0.096 1.041 1.847 0. 1.344


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 133 0 143 292 131 366
normalized size 1 1. 0.98 0. 1.05 2.15 0.96 2.69
time (sec) N/A 0.095 0.093 0.096 1.004 1.83 11.86 1.308


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 66 95 193 82 182
normalized size 1 1. 1. 0.86 1.23 2.51 1.06 2.36
time (sec) N/A 0.053 0.042 0.088 1.005 1.785 1.543 1.324


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 53 0 224 0 0 0
normalized size 1 1. 1.04 0. 4.39 0. 0. 0.
time (sec) N/A 0.051 0.003 0.098 1.599 0. 0. 0.


















Problem 447 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 87 87 84 0 101 208 0 378
normalized size 1 1. 0.97 0. 1.16 2.39 0. 4.34
time (sec) N/A 0.068 0.033 0.098 1.027 1.858 0. 1.338


















Problem 448 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 143 143 134 0 143 312 0 732
normalized size 1 1. 0.94 0. 1. 2.18 0. 5.12
time (sec) N/A 0.093 0.138 0.101 1.03 1.93 0. 1.301


















Problem 449 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 192 192 177 0 188 409 0 1091
normalized size 1 1. 0.92 0. 0.98 2.13 0. 5.68
time (sec) N/A 0.125 0.191 0.096 1.037 1.84 0. 1.31


















Problem 450 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 680 491 411 0 572 1574 0 1926
normalized size 1 0.72 0.6 0. 0.84 2.31 0. 2.83
time (sec) N/A 0.697 0.55 0.099 1.049 2.479 0. 1.344


















Problem 451 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 480 355 301 0 436 1088 0 1291
normalized size 1 0.74 0.63 0. 0.91 2.27 0. 2.69
time (sec) N/A 0.462 0.308 0.109 1.055 2.183 0. 1.337


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 210 197 0 293 664 0 647
normalized size 1 0.79 0.74 0. 1.1 2.49 0. 2.42
time (sec) N/A 0.29 0.127 0.093 1.052 1.975 0. 1.373


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 195 0 0 0 0 0
normalized size 1 1. 2.1 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.107 0.1 0. 0. 0. 0.


















Problem 454 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 231 253 274 0 0 0 0 0
normalized size 1 1.1 1.19 0. 0. 0. 0. 0.
time (sec) N/A 0.501 0.223 0.098 0. 0. 0. 0.


















Problem 455 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 405 430 533 0 0 0 0 0
normalized size 1 1.06 1.32 0. 0. 0. 0. 0.
time (sec) N/A 1.013 0.273 0.097 0. 0. 0. 0.


















Problem 456 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 1835 1835 1009 0 1436 5488 0 5998
normalized size 1 1. 0.55 0. 0.78 2.99 0. 3.27
time (sec) N/A 2.267 1.251 0.095 1.153 4.336 0. 1.621


















Problem 457 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 1357 1357 808 0 1170 4018 0 4500
normalized size 1 1. 0.6 0. 0.86 2.96 0. 3.32
time (sec) N/A 1.573 0.771 0.112 1.13 3.952 0. 1.479


















Problem 458 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 907 907 589 0 902 2668 0 3001
normalized size 1 1. 0.65 0. 0.99 2.94 0. 3.31
time (sec) N/A 0.979 0.467 0.098 1.1 2.582 0. 1.406


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 438 438 362 0 614 1544 0 1492
normalized size 1 1. 0.83 0. 1.4 3.53 0. 3.41
time (sec) N/A 0.444 0.224 0.095 1.084 2.096 0. 1.339


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 333 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.195 0.173 0.151 0. 0. 0. 0.


















Problem 461 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 439 414 733 0 0 0 0 0
normalized size 1 0.94 1.67 0. 0. 0. 0. 0.
time (sec) N/A 1.006 0.709 0.102 0. 0. 0. 0.


















Problem 462 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 765 742 1074 0 0 0 0 0
normalized size 1 0.97 1.4 0. 0. 0. 0. 0.
time (sec) N/A 3.053 1.676 0.099 0. 0. 0. 0.


















Problem 463 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 138 138 135 0 146 302 0 359
normalized size 1 1. 0.98 0. 1.06 2.19 0. 2.6
time (sec) N/A 0.107 0.11 0.416 1.039 1.868 0. 1.303


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 135 0 0 806 0 140
normalized size 1 1. 1.04 0. 0. 6.2 0. 1.08
time (sec) N/A 0.078 0.098 0.331 0. 1.94 0. 1.339


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 94 0 103 203 0 111
normalized size 1 1. 1.06 0. 1.16 2.28 0. 1.25
time (sec) N/A 0.065 0.027 0.326 1.036 1.827 0. 1.281


















Problem 466 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 72 72 72 62 0 547 133 92
normalized size 1 1. 1. 0.86 0. 7.6 1.85 1.28
time (sec) N/A 0.053 0.027 0.092 0. 1.852 13.401 1.283


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 0 154 0 0 0
normalized size 1 1. 1. 0. 2.8 0. 0. 0.
time (sec) N/A 0.051 0.012 0.384 1.64 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 59 0 0 481 0 82
normalized size 1 1. 0.87 0. 0. 7.07 0. 1.21
time (sec) N/A 0.04 0.018 0.342 0. 1.858 0. 1.245


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 91 0 104 216 0 128
normalized size 1 1. 0.97 0. 1.11 2.3 0. 1.36
time (sec) N/A 0.07 0.032 0.332 1.041 1.916 0. 1.333


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 65 0 0 755 0 127
normalized size 1 1. 0.53 0. 0. 6.14 0. 1.03
time (sec) N/A 0.077 0.014 0.332 0. 1.932 0. 1.366


















Problem 471 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 482 355 328 0 446 1125 0 1287
normalized size 1 0.74 0.68 0. 0.93 2.33 0. 2.67
time (sec) N/A 0.488 0.369 0.336 1.057 2.418 0. 1.514


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 217 239 0 312 689 0 427
normalized size 1 0.79 0.87 0. 1.13 2.51 0. 1.55
time (sec) N/A 0.305 0.157 0.341 1.045 2.101 0. 1.707


















Problem 473 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 95 95 199 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.115 0.344 0. 0. 0. 0.


















Problem 474 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 238 261 264 0 0 0 0 0
normalized size 1 1.1 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.5 0.303 0.338 0. 0. 0. 0.


















Problem 475 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 412 436 539 0 0 0 0 0
normalized size 1 1.06 1.31 0. 0. 0. 0. 0.
time (sec) N/A 1.016 0.276 0.343 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 547 547 438 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.769 0.485 0.341 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 364 319 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.447 0.216 0.343 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 247 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.406 0.187 0.347 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 476 476 473 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.62 0.532 0.343 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 640 640 678 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.944 1.034 0.351 0. 0. 0. 0.


















Problem 481 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 913 913 598 0 918 2745 0 3002
normalized size 1 1. 0.65 0. 1.01 3.01 0. 3.29
time (sec) N/A 1.032 1.018 0.338 1.12 3.214 0. 2.155


















Problem 482 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 449 449 428 0 653 1590 0 1050
normalized size 1 1. 0.95 0. 1.45 3.54 0. 2.34
time (sec) N/A 0.459 0.407 0.347 1.111 2.305 0. 2.301


















Problem 483 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 139 139 339 0 0 0 0 0
normalized size 1 1. 2.44 0. 0. 0. 0. 0.
time (sec) N/A 0.201 0.193 0.348 0. 0. 0. 0.


















Problem 484 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 451 428 764 0 0 0 0 0
normalized size 1 0.95 1.69 0. 0. 0. 0. 0.
time (sec) N/A 1.008 0.782 0.399 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 793 0 3146 0 0 0 0 0
normalized size 1 0. 3.97 0. 0. 0. 0. 0.
time (sec) N/A 3.006 9.011 0.341 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 485 0 598 0 0 0 0 0
normalized size 1 0. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 1.079 1.243 0.334 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 318 0 1028 0 0 0 0 0
normalized size 1 0. 3.23 0. 0. 0. 0. 0.
time (sec) N/A 0.487 7.168 0.341 0. 0. 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 631 0 803 0 0 0 0 0
normalized size 1 0. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 1.87 2.892 0.364 0. 0. 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 218 0 219 605 0 217
normalized size 1 1. 0.91 0. 0.92 2.53 0. 0.91
time (sec) N/A 0.171 0.227 0.542 1.047 2.188 0. 1.334


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 175 0 173 473 0 177
normalized size 1 1. 0.92 0. 0.91 2.49 0. 0.93
time (sec) N/A 0.13 0.133 0.335 1.033 2.196 0. 1.398


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 132 0 130 373 0 136
normalized size 1 1. 0.94 0. 0.92 2.65 0. 0.96
time (sec) N/A 0.092 0.086 0.34 1.014 2.148 0. 1.445


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 79 115 80 269 92 89
normalized size 1 1. 1.13 1.64 1.14 3.84 1.31 1.27
time (sec) N/A 0.05 0.047 0.102 1.03 2.156 15.053 1.385


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 53 0 250 0 0 0
normalized size 1 1. 1.04 0. 4.9 0. 0. 0.
time (sec) N/A 0.05 0.003 0.352 2.318 0. 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 85 0 116 250 0 128
normalized size 1 1. 1.04 0. 1.41 3.05 0. 1.56
time (sec) N/A 0.068 0.033 0.341 1.025 1.762 0. 1.348


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 135 0 158 377 0 166
normalized size 1 1. 0.98 0. 1.14 2.73 0. 1.2
time (sec) N/A 0.097 0.089 0.329 1.032 1.814 0. 1.334


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 178 0 203 502 0 207
normalized size 1 1. 0.95 0. 1.09 2.68 0. 1.11
time (sec) N/A 0.133 0.15 0.38 1.043 1.812 0. 1.39


















Problem 497 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 572 596 738 0 0 0 0 0
normalized size 1 1.04 1.29 0. 0. 0. 0. 0.
time (sec) N/A 1.715 0.418 0.346 0. 0. 0. 0.


















Problem 498 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 400 423 546 0 0 0 0 0
normalized size 1 1.06 1.36 0. 0. 0. 0. 0.
time (sec) N/A 1.024 0.239 0.339 0. 0. 0. 0.


















Problem 499 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 227 248 237 0 0 0 0 0
normalized size 1 1.09 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.533 0.187 0.341 0. 0. 0. 0.


















Problem 500 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 93 93 389 0 0 0 0 0
normalized size 1 1. 4.18 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.209 0.351 0. 0. 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 212 374 0 383 798 0 0
normalized size 1 0.79 1.39 0. 1.42 2.97 0. 0.
time (sec) N/A 0.311 0.36 0.576 1.07 1.904 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 479 355 698 0 522 1310 0 0
normalized size 1 0.74 1.46 0. 1.09 2.73 0. 0.
time (sec) N/A 0.48 0.34 0.359 1.086 2.048 0. 0.


















Problem 503 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 759 736 1006 0 0 0 0 0
normalized size 1 0.97 1.33 0. 0. 0. 0. 0.
time (sec) N/A 2.975 1.587 0.338 0. 0. 0. 0.


















Problem 504 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 436 410 675 0 0 0 0 0
normalized size 1 0.94 1.55 0. 0. 0. 0. 0.
time (sec) N/A 1.042 0.742 0.534 0. 0. 0. 0.


















Problem 505 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 135 135 527 0 0 0 0 0
normalized size 1 1. 3.9 0. 0. 0. 0. 0.
time (sec) N/A 0.197 0.319 0.352 0. 0. 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 438 438 666 0 864 1781 0 0
normalized size 1 1. 1.52 0. 1.97 4.07 0. 0.
time (sec) N/A 0.452 0.794 0.348 1.165 2.22 0. 0.


















Problem 507 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 907 907 962 0 1166 3106 0 0
normalized size 1 1. 1.06 0. 1.29 3.42 0. 0.
time (sec) N/A 1.001 1.633 0.353 1.178 2.421 0. 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 134 0 132 385 0 139
normalized size 1 1. 0.94 0. 0.92 2.69 0. 0.97
time (sec) N/A 0.105 0.109 0.6 1.032 1.959 0. 1.357


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 65 0 0 971 0 131
normalized size 1 1. 0.54 0. 0. 8.02 0. 1.08
time (sec) N/A 0.072 0.015 0.346 0. 2.071 0. 1.366


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 91 0 85 277 0 97
normalized size 1 1. 0.97 0. 0.9 2.95 0. 1.03
time (sec) N/A 0.062 0.023 0.358 1.041 1.88 0. 1.27


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 53 168 0 664 61 77
normalized size 1 1. 0.82 2.58 0. 10.22 0.94 1.18
time (sec) N/A 0.042 0.013 0.204 0. 1.993 161.897 1.325


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 0 171 0 0 0
normalized size 1 1. 1. 0. 3.11 0. 0. 0.
time (sec) N/A 0.051 0.011 0.417 2.412 0. 0. 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 80 0 0 554 0 99
normalized size 1 1. 1.04 0. 0. 7.19 0. 1.29
time (sec) N/A 0.051 0.049 0.349 0. 1.872 0. 1.344


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 94 0 119 205 0 140
normalized size 1 1. 1.06 0. 1.34 2.3 0. 1.57
time (sec) N/A 0.068 0.033 0.353 1.036 1.789 0. 1.453


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 137 0 0 811 0 139
normalized size 1 1. 1.04 0. 0. 6.14 0. 1.05
time (sec) N/A 0.088 0.064 0.349 0. 1.899 0. 1.287


















Problem 516 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 412 436 968 0 0 0 0 0
normalized size 1 1.06 2.35 0. 0. 0. 0. 0.
time (sec) N/A 1.017 0.435 0.359 0. 0. 0. 0.


















Problem 517 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 239 264 542 0 0 0 0 0
normalized size 1 1.1 2.27 0. 0. 0. 0. 0.
time (sec) N/A 0.484 0.443 0.35 0. 0. 0. 0.


















Problem 518 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 95 95 199 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 0.131 0.143 0.352 0. 0. 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 217 691 0 402 695 0 0
normalized size 1 0.79 2.5 0. 1.46 2.52 0. 0.
time (sec) N/A 0.301 0.528 0.415 1.059 1.861 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 482 355 1021 0 536 1137 0 0
normalized size 1 0.74 2.12 0. 1.11 2.36 0. 0.
time (sec) N/A 0.476 0.838 0.352 1.097 1.874 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 490 490 735 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 0.807 2.229 0.347 0. 0. 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 523 0 0 0 0 0
normalized size 1 1. 1.69 0. 0. 0. 0. 0.
time (sec) N/A 0.445 1.136 0.356 0. 0. 0. 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 361 598 0 0 0 0 0
normalized size 1 1. 1.66 0. 0. 0. 0. 0.
time (sec) N/A 0.594 1.267 0.36 0. 0. 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 773 746 1014 0 0 0 0 0
normalized size 1 0.97 1.31 0. 0. 0. 0. 0.
time (sec) N/A 3.019 2.232 0.351 0. 0. 0. 0.


















Problem 525 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 451 428 683 0 0 0 0 0
normalized size 1 0.95 1.51 0. 0. 0. 0. 0.
time (sec) N/A 1.003 1.352 0.352 0. 0. 0. 0.


















Problem 526 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 139 139 341 0 0 0 0 0
normalized size 1 1. 2.45 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.251 0.362 0. 0. 0. 0.


















Problem 527 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 449 449 692 0 923 1600 0 0
normalized size 1 1. 1.54 0. 2.06 3.56 0. 0.
time (sec) N/A 0.463 1.434 0.358 1.151 1.962 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 1277 0 764 0 0 0 0 0
normalized size 1 0. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 3.169 4.829 0.355 0. 0. 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 737 0 824 0 0 0 0 0
normalized size 1 0. 1.12 0. 0. 0. 0. 0.
time (sec) N/A 1.297 5.688 0.345 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 482 0 1097 0 0 0 0 0
normalized size 1 0. 2.28 0. 0. 0. 0. 0.
time (sec) N/A 1.383 2.238 0.341 0. 0. 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 783 0 2858 0 0 0 0 0
normalized size 1 0. 3.65 0. 0. 0. 0. 0.
time (sec) N/A 3.625 9.008 0.351 0. 0. 0. 0.


















Problem 532 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 730 730 435 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.336 0.986 0.489 0. 0. 0. 0.


















Problem 533 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 551 551 325 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.864 0.893 0.083 0. 0. 0. 0.


















Problem 534 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 360 360 229 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 0.543 0.422 0.087 0. 0. 0. 0.


















Problem 535 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 174 174 130 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.222 0.124 0.086 0. 0. 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.264 0.086 0. 0. 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.317 0.087 0. 0. 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 907 907 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.404 0.473 0.571 0. 0. 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 677 677 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.982 0.326 0.088 0. 0. 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 445 445 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.627 0.238 0.087 0. 0. 0. 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 213 213 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.261 0.117 0.089 0. 0. 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.116 0.097 0. 0. 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.12 0.09 0. 0. 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.646 0.483 0. 0. 0. 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 0.175 0.351 0. 0. 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.304 0.342 0. 0. 0. 0.


















Problem 547 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 175 175 131 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.247 0.171 0.361 0. 0. 0. 0.


















Problem 548 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 552 552 325 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.848 0.778 0.326 0. 0. 0. 0.


















Problem 549 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 926 926 525 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 1.557 3.255 0.332 0. 0. 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.225 0.607 0. 0. 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.104 0.327 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.165 0.332 0. 0. 0. 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 213 213 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.288 0.139 0.334 0. 0. 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 676 676 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.995 0.143 0.333 0. 0. 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 1141 1141 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.738 0.133 0.333 0. 0. 0. 0.


















Problem 556 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 1121 1121 670 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.868 2.662 0.484 0. 0. 0. 0.


















Problem 557 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 831 831 501 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.352 0.972 0.088 0. 0. 0. 0.


















Problem 558 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 553 553 325 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.846 0.911 0.089 0. 0. 0. 0.


















Problem 559 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 266 266 174 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.393 0.195 0.09 0. 0. 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.248 0.088 0. 0. 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.359 0.091 0. 0. 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 1363 1363 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.133 0.65 0.576 0. 0. 0. 0.


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 1035 1035 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.566 0.44 0.089 0. 0. 0. 0.


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 673 673 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.971 0.303 0.09 0. 0. 0. 0.


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 338 338 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.46 0.127 0.088 0. 0. 0. 0.


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.117 0.086 0. 0. 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.116 0.085 0. 0. 0. 0.


















Problem 568 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 557 557 325 0 0 0 0 0
normalized size 1 1. 0.58 0. 0. 0. 0. 0.
time (sec) N/A 0.869 0.92 0.475 0. 0. 0. 0.


















Problem 569 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 273 273 181 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.381 0.237 0.089 0. 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.285 0.094 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.386 0.086 0. 0. 0. 0.


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.719 0.086 0. 0. 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.032 0.17 0.09 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.467 0.085 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 675 675 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.971 0.492 0.594 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 347 347 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.453 0.284 0.086 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.154 0.089 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.155 0.084 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.172 0.085 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.09 0.085 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.124 0.089 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.815 0.501 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.183 0.332 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.309 0.335 0. 0. 0. 0.


















Problem 585 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 267 267 175 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.392 0.234 0.332 0. 0. 0. 0.


















Problem 586 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 554 554 325 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.833 0.771 0.333 0. 0. 0. 0.


















Problem 587 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 832 832 502 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.303 0.83 0.331 0. 0. 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.229 0.574 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.11 0.335 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.165 0.329 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 339 339 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.478 0.14 0.335 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 673 673 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.972 0.134 0.331 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 1036 1036 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.519 0.132 0.331 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.851 0.505 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.722 0.372 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.555 0.319 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.23 0.309 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.456 0.309 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.396 0.309 0. 0. 0. 0.


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.291 0.573 0. 0. 0. 0.


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 0.204 0.306 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.242 0.308 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.114 0.314 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.165 0.311 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.144 0.312 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 631 631 344 0 0 2461 0 694
normalized size 1 1. 0.55 0. 0. 3.9 0. 1.1
time (sec) N/A 0.895 0.458 1.281 0. 1.932 0. 1.416


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 603 603 316 0 0 2245 0 576
normalized size 1 1. 0.52 0. 0. 3.72 0. 0.96
time (sec) N/A 0.795 0.477 1.149 0. 1.983 0. 1.587


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 588 588 271 0 0 2557 0 599
normalized size 1 1. 0.46 0. 0. 4.35 0. 1.02
time (sec) N/A 0.741 0.433 1.139 0. 1.953 0. 1.652


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 620 620 309 0 0 2877 0 647
normalized size 1 1. 0.5 0. 0. 4.64 0. 1.04
time (sec) N/A 0.799 0.183 1.239 0. 2.09 0. 1.621


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 641 641 100 0 0 2996 0 659
normalized size 1 1. 0.16 0. 0. 4.67 0. 1.03
time (sec) N/A 0.827 0.069 1.201 0. 2.126 0. 1.615


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1002 1002 588 0 0 4782 0 1107
normalized size 1 1. 0.59 0. 0. 4.77 0. 1.1
time (sec) N/A 1.309 1.334 1.281 0. 2.36 0. 1.384


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 949 949 436 0 0 4340 0 869
normalized size 1 1. 0.46 0. 0. 4.57 0. 0.92
time (sec) N/A 1.261 0.83 1.332 0. 2.43 0. 1.738


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 932 932 503 0 0 4329 0 863
normalized size 1 1. 0.54 0. 0. 4.64 0. 0.93
time (sec) N/A 1.215 0.96 1.299 0. 2.464 0. 1.648


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 935 935 340 0 0 4817 0 892
normalized size 1 1. 0.36 0. 0. 5.15 0. 0.95
time (sec) N/A 1.183 0.952 1.289 0. 2.46 0. 1.675


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 968 968 294 0 0 5276 0 911
normalized size 1 1. 0.3 0. 0. 5.45 0. 0.94
time (sec) N/A 1.232 0.263 1.354 0. 2.562 0. 1.586


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1680 1680 1471 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 3.085 1.347 1.358 0. 0. 0. 0.


















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1361 1361 1297 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 1.831 0.388 1.306 0. 0. 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1659 1659 1336 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 2.529 1.638 1.321 0. 0. 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 191 0 93 0 0
normalized size 1 1. 1. 5.79 0. 2.82 0. 0.
time (sec) N/A 0.026 0.012 2.384 0. 1.565 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 210 1373 0 257 0 0
normalized size 1 1. 2.8 18.31 0. 3.43 0. 0.
time (sec) N/A 0.12 0.129 0.345 0. 1.586 0. 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 659 0 0 1072 0 0
normalized size 1 1. 4.09 0. 0. 6.66 0. 0.
time (sec) N/A 0.224 0.256 0.51 0. 1.774 0. 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 456 0 0 724 0 0
normalized size 1 1. 3.45 0. 0. 5.48 0. 0.
time (sec) N/A 0.188 0.228 0.458 0. 1.753 0. 0.


















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 265 0 0 423 0 0
normalized size 1 1. 2.6 0. 0. 4.15 0. 0.
time (sec) N/A 0.145 0.18 0.46 0. 1.676 0. 0.


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 189 0 171 0 0
normalized size 1 1. 1. 3.86 0. 3.49 0. 0.
time (sec) N/A 0.053 0.015 3.542 0. 1.666 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 41 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.292 0.543 0.474 0. 0. 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 63 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 2. 0.48 0. 0. 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 68 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.117 10.606 0.468 0. 0. 0. 0.


















Problem 628 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 65 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.024 2.597 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F C F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 147 145 0 3071 0 402
normalized size 1 1. 0.87 0.86 0. 18.17 0. 2.38
time (sec) N/A 0.206 0.099 0.569 0. 9.785 0. 1.424


















Problem 630 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 63 63 63 98 0 458 0 130
normalized size 1 1. 1. 1.56 0. 7.27 0. 2.06
time (sec) N/A 0.048 0.035 0.171 0. 1.634 0. 1.262


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 47 57 73 108 85 93
normalized size 1 1. 1.34 1.63 2.09 3.09 2.43 2.66
time (sec) N/A 0.016 0.031 0.122 1.017 1.5 1.517 1.174


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 56 74 88 163 109 116
normalized size 1 1. 1.24 1.64 1.96 3.62 2.42 2.58
time (sec) N/A 0.027 0.047 0.131 1.021 1.602 2.38 1.3


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 61 115 0 660 0 185
normalized size 1 1. 1.03 1.95 0. 11.19 0. 3.14
time (sec) N/A 0.036 0.047 0.133 0. 1.743 0. 4.573


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 66 157 0 3146 0 0
normalized size 1 1. 0.4 0.95 0. 19.07 0. 0.
time (sec) N/A 0.173 0.333 0.554 0. 9.939 0. 0.


















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.006 0.407 0.659 0. 0. 0. 0.


















Problem 636 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 221 221 739 0 0 0 0 0
normalized size 1 1. 3.34 0. 0. 0. 0. 0.
time (sec) N/A 0.278 1.365 0.599 0. 0. 0. 0.


















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 415 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.184 0.686 0.095 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 219 0 0 0 0 0
normalized size 1 1. 1.9 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.27 0.134 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 70 81 95 190 114 123
normalized size 1 1. 1.4 1.62 1.9 3.8 2.28 2.46
time (sec) N/A 0.038 0.041 0.106 1.025 1.943 2.297 1.32


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.006 0.538 0.123 0. 0. 0. 0.


















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.006 0.859 0.135 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [134] had the largest ratio of [ 1.429 ]

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 4 3 1. 16 0.188







2 A 4 3 1. 16 0.188







3 A 4 3 1. 16 0.188







4 A 3 3 1. 14 0.214







5 A 3 3 1. 12 0.25







6 A 3 3 1. 16 0.188







7 A 2 2 1. 16 0.125







8 A 5 5 1.18 16 0.312







9 A 3 3 1. 16 0.188







10 A 4 3 1. 16 0.188







11 A 4 3 1. 16 0.188







12 A 4 3 1. 16 0.188







13 A 4 3 1. 16 0.188







14 A 9 8 1. 16 0.5







15 A 9 8 1. 16 0.5







16 A 3 3 1. 16 0.188







17 A 8 8 1. 14 0.571







18 A 8 8 1. 12 0.667







19 A 3 3 1. 16 0.188







20 A 7 7 1. 16 0.438







21 A 7 7 1. 16 0.438







22 A 5 5 1. 16 0.312







23 A 8 8 1. 16 0.5







24 A 8 8 1. 16 0.5







25 A 4 3 1. 16 0.188







26 A 4 3 1. 16 0.188







27 A 4 3 1. 16 0.188







28 A 4 3 1. 16 0.188







29 A 4 3 1. 14 0.214







30 A 3 3 1. 12 0.25







31 A 3 3 1. 16 0.188







32 A 3 3 1. 16 0.188







33 A 4 3 1. 16 0.188







34 A 4 3 1. 16 0.188







35 A 4 3 1. 16 0.188







36 A 5 4 1. 16 0.25







37 A 5 4 1. 16 0.25







38 A 4 4 1. 16 0.25







39 A 3 3 1. 14 0.214







40 A 3 3 1. 12 0.25







41 A 3 3 1. 16 0.188







42 A 4 4 1. 16 0.25







43 A 3 3 1. 16 0.188







44 A 5 4 1. 16 0.25







45 A 1 1 1. 12 0.083







46 A 4 3 1. 18 0.167







47 A 4 3 1. 18 0.167







48 A 4 3 1. 16 0.188







49 A 4 3 1. 14 0.214







50 A 3 3 1. 18 0.167







51 A 4 3 1. 18 0.167







52 A 4 3 1. 18 0.167







53 A 4 3 1. 18 0.167







54 A 3 3 1. 16 0.188







55 A 3 3 1. 18 0.167







56 A 3 3 1. 18 0.167







57 A 2 2 1. 16 0.125







58 A 4 4 1. 18 0.222







59 A 4 4 1. 18 0.222







60 A 4 4 1. 18 0.222







61 A 4 4 1. 20 0.2







62 A 5 5 1. 20 0.25







63 A 3 3 1. 18 0.167







64 A 5 4 1. 22 0.182







65 A 5 4 1. 22 0.182







66 A 5 4 1. 20 0.2







67 A 4 4 1. 19 0.21







68 A 6 6 1. 22 0.273







69 A 5 4 1. 22 0.182







70 A 2 2 1. 16 0.125







71 A 2 2 1. 14 0.143







72 A 2 2 1. 12 0.167







73 A 3 3 1. 16 0.188







74 A 2 2 1. 16 0.125







75 A 2 2 1. 16 0.125







76 A 2 2 1. 16 0.125







77 A 8 8 0.81 18 0.444







78 A 9 8 1. 18 0.444







79 A 4 4 1. 16 0.25







80 A 5 5 1. 18 0.278







81 A 4 4 1. 18 0.222







82 A 10 10 1.14 18 0.556







83 A 14 12 1.09 18 0.667







84 A 20 13 1. 18 0.722







85 A 16 13 1. 18 0.722







86 A 12 11 1. 14 0.786







87 A 7 8 1. 18 0.444







88 A 11 10 1. 18 0.556







89 A 14 11 1. 18 0.611







90 A 18 11 1. 18 0.611







91 A 15 8 1. 18 0.444







92 A 11 8 1. 18 0.444







93 A 5 4 1. 16 0.25







94 A 6 6 1. 18 0.333







95 A 6 6 1. 18 0.333







96 A 13 12 1.08 18 0.667







97 A 22 16 0.94 18 0.889







98 A 0 0 0. 0 0.







99 A 0 0 0. 0 0.







100 A 0 0 0. 0 0.







101 A 0 0 0. 0 0.







102 A 9 7 1. 18 0.389







103 A 4 4 1. 16 0.25







104 A 0 0 0. 0 0.







105 A 0 0 0. 0 0.







106 A 0 0 0. 0 0.







107 A 0 0 0. 0 0.







108 A 0 0 0. 0 0.







109 A 13 8 1. 18 0.444







110 A 5 5 1. 16 0.312







111 A 0 0 0. 0 0.







112 A 0 0 0. 0 0.







113 A 0 0 0. 0 0.







114 A 0 0 0. 0 0.







115 A 0 0 0. 0 0.







116 A 18 9 1. 18 0.5







117 A 6 5 1. 16 0.312







118 A 0 0 0. 0 0.







119 A 0 0 0. 0 0.







120 A 0 0 0. 0 0.







121 A 0 0 0. 0 0.







122 A 0 0 0. 0 0.







123 A 8 7 1. 16 0.438







124 A 3 3 1. 14 0.214







125 A 11 8 1. 16 0.5







126 A 4 4 1. 14 0.286







127 A 15 9 1. 16 0.562







128 A 5 4 1. 14 0.286







129 A 9 8 1. 18 0.444







130 A 4 4 1. 18 0.222







131 A 5 5 1. 18 0.278







132 A 4 4 1. 18 0.222







133 A 49 19 1. 16 1.187







134 A 49 20 1. 14 1.429







135 A 39 11 1.01 18 0.611







136 A 39 11 1.01 18 0.611







137 A 48 18 1. 18 1.







138 A 12 7 1. 18 0.389







139 A 9 7 1. 18 0.389







140 A 4 4 1. 18 0.222







141 A 0 0 0. 0 0.







142 A 0 0 0. 0 0.







143 A 0 0 0. 0 0.







144 A 0 0 0. 0 0.







145 A 0 0 0. 0 0.







146 A 0 0 0. 0 0.







147 A 0 0 0. 0 0.







148 A 21 8 1. 18 0.444







149 A 13 8 1. 18 0.444







150 A 5 5 1. 18 0.278







151 A 0 0 0. 0 0.







152 A 0 0 0. 0 0.







153 A 0 0 0. 0 0.







154 A 0 0 0. 0 0.







155 A 0 0 0. 0 0.







156 A 0 0 0. 0 0.







157 A 0 0 0. 0 0.







158 A 0 0 0. 0 0.







159 A 0 0 0. 0 0.







160 A 3 3 1. 18 0.167







161 A 0 0 0. 0 0.







162 A 0 0 0. 0 0.







163 A 9 9 0.75 24 0.375







164 A 10 9 1. 24 0.375







165 A 5 5 1. 22 0.227







166 A 6 6 1. 21 0.286







167 A 5 5 1. 24 0.208







168 A 11 11 1.19 24 0.458







169 A 1 1 1. 12 0.083







170 A 3 3 1. 12 0.25







171 A 3 3 1. 14 0.214







172 A 3 3 1. 14 0.214







173 A 3 3 1. 16 0.188







174 A 5 5 1. 18 0.278







175 A 6 6 1. 18 0.333







176 A 3 2 1. 18 0.111







177 A 3 2 1. 18 0.111







178 A 3 2 1. 16 0.125







179 A 2 2 1. 10 0.2







180 A 3 3 1. 18 0.167







181 A 4 3 1. 18 0.167







182 A 3 2 1. 18 0.111







183 A 3 2 1. 18 0.111







184 A 6 5 1. 20 0.25







185 A 6 5 1. 20 0.25







186 A 6 5 1. 18 0.278







187 A 3 3 1. 12 0.25







188 A 9 6 1. 20 0.3







189 A 6 5 1. 20 0.25







190 A 6 5 1. 20 0.25







191 A 13 11 1. 20 0.55







192 A 12 11 1. 20 0.55







193 A 11 10 1. 18 0.556







194 A 8 8 1. 12 0.667







195 A 12 6 1. 20 0.3







196 A 11 10 1. 20 0.5







197 A 11 10 1. 20 0.5







198 A 4 3 1. 20 0.15







199 A 4 3 1. 20 0.15







200 A 4 3 1. 18 0.167







201 A 8 7 1. 20 0.35







202 A 4 3 1. 20 0.15







203 A 4 3 1. 20 0.15







204 A 4 3 1. 20 0.15







205 A 8 7 1. 16 0.438







206 A 6 3 1. 20 0.15







207 A 5 3 1. 20 0.15







208 A 2 2 1. 18 0.111







209 A 5 5 1. 20 0.25







210 A 9 6 1. 20 0.3







211 A 0 0 0. 0 0.







212 A 8 4 1. 20 0.2







213 A 7 4 1. 20 0.2







214 A 6 4 1. 18 0.222







215 A 2 2 1. 12 0.167







216 A 0 0 0. 0 0.







217 A 0 0 0. 0 0.







218 A 0 0 0. 0 0.







219 A 13 8 1. 21 0.381







220 A 10 8 1. 21 0.381







221 A 7 7 1. 19 0.368







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224 A 11 10 1. 21 0.476







225 A 14 10 1. 21 0.476







226 A 21 15 1. 23 0.652







227 A 17 13 1. 23 0.565







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229 A 9 6 1. 20 0.3







230 A 14 9 1. 23 0.391







231 A 16 11 1. 23 0.478







232 A 21 15 1. 23 0.652







233 A 33 20 1. 23 0.87







234 A 30 17 1. 23 0.739







235 A 22 15 1. 21 0.714







236 A 12 6 1. 20 0.3







237 A 17 9 1. 23 0.391







238 A 24 16 1. 23 0.696







239 A 31 17 1. 23 0.739







240 A 21 14 1. 23 0.609







241 A 17 14 1. 23 0.609







242 A 13 11 1. 21 0.524







243 A 8 7 1. 20 0.35







244 A 13 9 1. 23 0.391







245 A 16 11 1. 23 0.478







246 A 20 13 1. 23 0.565







247 A 25 14 1. 23 0.609







248 A 21 12 1. 23 0.522







249 A 18 11 1. 21 0.524







250 A 13 7 1. 20 0.35







251 A 18 9 1. 23 0.391







252 A 22 13 1. 23 0.565







253 A 25 15 1. 23 0.652







254 A 37 18 1. 23 0.783







255 A 34 18 1. 23 0.783







256 A 26 16 1. 21 0.762







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258 A 21 9 1. 23 0.391







259 A 30 18 1. 23 0.783







260 A 39 19 1. 23 0.826







261 A 16 9 1. 22 0.409







262 A 12 8 1. 22 0.364







263 A 8 4 1. 20 0.2







264 A 12 12 1. 22 0.546







265 A 18 12 1. 22 0.546







266 A 19 8 1. 24 0.333







267 A 20 10 1. 24 0.417







268 A 17 6 1. 22 0.273







269 A 13 6 1. 22 0.273







270 A 9 6 1. 20 0.3







271 A 12 8 1. 22 0.364







272 A 26 13 1. 22 0.591







273 A 50 15 1. 24 0.625







274 A 30 15 1. 22 0.682







275 A 0 0 0. 0 0.







276 A 0 0 0. 0 0.







277 A 0 0 0. 0 0.







278 A 0 0 0. 0 0.







279 A 0 0 0. 0 0.







280 A 0 0 0. 0 0.







281 A 0 0 0. 0 0.







282 A 0 0 0. 0 0.







283 A 0 0 0. 0 0.







284 A 0 0 0. 0 0.







285 A 0 0 0. 0 0.







286 A 0 0 0. 0 0.







287 A 0 0 0. 0 0.







288 A 17 9 1. 22 0.409







289 A 13 9 1. 22 0.409







290 A 9 7 1. 20 0.35







291 A 29 7 1. 22 0.318







292 A 47 11 1. 22 0.5







293 A 55 29 0.93 24 1.208







294 A 47 23 1. 24 0.958







295 A 23 20 1. 22 0.909







296 A 0 0 0. 0 0.







297 A 0 0 0. 0 0.







298 A 0 0 0. 0 0.







299 A 0 0 0. 0 0.







300 A 0 0 0. 0 0.







301 A 0 0 0. 0 0.







302 A 0 0 0. 0 0.







303 A 0 0 0. 0 0.







304 A 0 0 0. 0 0.







305 A 0 0 0. 0 0.







306 A 0 0 0. 0 0.







307 A 0 0 0. 0 0.







308 A 0 0 0. 0 0.







309 A 0 0 0. 0 0.







310 A 5 5 1. 23 0.217







311 A 5 5 1. 23 0.217







312 A 4 3 1. 21 0.143







313 A 7 7 1. 23 0.304







314 A 9 9 1. 23 0.391







315 A 5 5 1. 23 0.217







316 A 5 5 1. 23 0.217







317 A 5 5 1. 23 0.217







318 A 10 4 1. 23 0.174







319 A 9 6 1. 20 0.3







320 A 7 5 1.29 23 0.217







321 A 7 4 1. 23 0.174







322 A 9 4 1. 23 0.174







323 A 5 5 1. 25 0.2







324 A 5 5 1. 25 0.2







325 A 4 3 1. 23 0.13







326 A 10 8 1. 25 0.32







327 A 11 11 1. 25 0.44







328 A 12 10 1. 25 0.4







329 A 5 5 1. 25 0.2







330 A 5 5 1. 25 0.2







331 A 5 5 1. 25 0.2







332 A 14 4 1. 25 0.16







333 A 13 6 1. 22 0.273







334 A 11 6 1. 25 0.24







335 A 10 6 1. 25 0.24







336 A 11 4 1. 25 0.16







337 A 14 4 1. 25 0.16







338 A 11 9 1. 25 0.36







339 A 8 8 1. 25 0.32







340 A 4 4 1. 23 0.174







341 A 8 9 1. 25 0.36







342 A 12 11 1. 25 0.44







343 A 21 13 1. 25 0.52







344 A 17 11 1. 25 0.44







345 A 12 8 1. 22 0.364







346 A 16 10 1. 25 0.4







347 A 19 11 1. 25 0.44







348 A 12 11 1. 25 0.44







349 A 10 9 1. 25 0.36







350 A 5 4 1. 23 0.174







351 A 12 10 1. 25 0.4







352 A 16 11 1. 25 0.44







353 A 43 16 1. 25 0.64







354 A 40 14 1. 25 0.56







355 A 26 13 1. 22 0.591







356 A 42 15 1. 25 0.6







357 A 6 7 1. 22 0.318







358 A 12 8 1. 18 0.444







359 A 11 7 1. 18 0.389







360 A 8 7 1. 25 0.28







361 A 8 7 1. 25 0.28







362 A 7 7 1. 23 0.304







363 A 9 9 1. 25 0.36







364 A 8 7 1. 25 0.28







365 A 11 7 1. 27 0.259







366 A 11 7 1. 27 0.259







367 A 10 8 1. 25 0.32







368 A 12 11 1. 27 0.407







369 A 11 9 1. 27 0.333







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371 A 8 9 1. 25 0.36







372 A 5 5 1. 27 0.185







373 A 9 7 1. 27 0.259







374 A 19 14 1. 27 0.518







375 A 12 10 1. 25 0.4







376 A 10 10 1. 27 0.37







377 A 17 14 1. 27 0.518







378 A 4 4 1. 33 0.121







379 A 3 3 1. 29 0.103







380 A 4 4 1. 33 0.121







381 A 0 0 0. 0 0.







382 A 0 0 0. 0 0.







383 A 0 0 0. 0 0.







384 A 0 0 0. 0 0.







385 A 0 0 0. 0 0.







386 A 0 0 0. 0 0.







387 A 0 0 0. 0 0.







388 A 0 0 0. 0 0.







389 A 4 4 1. 14 0.286







390 A 1 1 1.5 12 0.083







391 A 2 2 1. 14 0.143







392 A 2 2 1. 16 0.125







393 A 4 4 1. 14 0.286







394 A 4 4 1. 16 0.25







395 A 4 4 1. 18 0.222







396 A 9 8 1. 18 0.444







397 A 14 8 1. 20 0.4







398 A 0 0 0. 0 0.







399 A 3 3 1. 22 0.136







400 A 4 3 1. 22 0.136







401 A 4 3 1. 22 0.136







402 A 4 3 1. 20 0.15







403 A 5 3 1. 18 0.167







404 A 3 3 1. 22 0.136







405 A 4 3 1. 22 0.136







406 A 4 3 1. 22 0.136







407 A 4 3 1. 22 0.136







408 A 8 8 0.74 24 0.333







409 A 8 8 0.77 22 0.364







410 A 10 8 1. 20 0.4







411 A 5 5 1. 24 0.208







412 A 10 10 1.14 24 0.417







413 A 18 12 1.09 24 0.5







414 A 26 12 1.06 24 0.5







415 A 28 8 1. 24 0.333







416 A 20 8 1. 22 0.364







417 A 12 8 1. 20 0.4







418 A 6 6 1. 24 0.25







419 A 13 12 1.08 24 0.5







420 A 35 17 0.96 24 0.708







421 A 4 3 1. 22 0.136







422 A 4 3 1. 22 0.136







423 A 4 3 1. 20 0.15







424 A 6 4 1. 18 0.222







425 A 3 3 1. 22 0.136







426 A 4 3 1. 22 0.136







427 A 4 3 1. 22 0.136







428 A 4 3 1. 22 0.136







429 A 26 12 1.06 24 0.5







430 A 18 12 1.08 22 0.546







431 A 11 11 1.14 20 0.55







432 A 5 5 1. 24 0.208







433 A 10 8 1. 24 0.333







434 A 8 8 0.77 24 0.333







435 A 8 8 0.74 24 0.333







436 A 35 17 0.96 22 0.773







437 A 14 13 1.08 20 0.65







438 A 6 6 1. 24 0.25







439 A 12 8 1. 24 0.333







440 A 20 8 1. 24 0.333







441 A 28 8 1. 24 0.333







442 A 4 3 1. 22 0.136







443 A 4 3 1. 22 0.136







444 A 4 3 1. 20 0.15







445 A 5 3 1. 18 0.167







446 A 3 3 1. 22 0.136







447 A 4 3 1. 22 0.136







448 A 4 3 1. 22 0.136







449 A 4 3 1. 22 0.136







450 A 8 8 0.72 24 0.333







451 A 8 8 0.74 22 0.364







452 A 8 8 0.79 20 0.4







453 A 5 5 1. 24 0.208







454 A 14 12 1.1 24 0.5







455 A 26 12 1.06 24 0.5







456 A 52 8 1. 24 0.333







457 A 40 8 1. 24 0.333







458 A 28 8 1. 22 0.364







459 A 16 8 1. 20 0.4







460 A 6 6 1. 24 0.25







461 A 22 16 0.94 24 0.667







462 A 73 17 0.97 24 0.708







463 A 4 3 1. 22 0.136







464 A 5 4 1. 22 0.182







465 A 4 3 1. 20 0.15







466 A 6 4 1. 18 0.222







467 A 3 3 1. 22 0.136







468 A 4 4 1. 22 0.182







469 A 4 3 1. 22 0.136







470 A 7 4 1. 22 0.182







471 A 8 8 0.74 24 0.333







472 A 8 8 0.79 22 0.364







473 A 5 5 1. 24 0.208







474 A 14 12 1.1 24 0.5







475 A 26 12 1.06 24 0.5







476 A 30 14 1. 24 0.583







477 A 18 14 1. 20 0.7







478 A 12 11 1. 24 0.458







479 A 24 12 1. 24 0.5







480 A 45 12 1. 24 0.5







481 A 28 8 1. 24 0.333







482 A 16 8 1. 22 0.364







483 A 6 6 1. 24 0.25







484 A 22 16 0.95 24 0.667







485 A 0 0 0. 0 0.







486 A 0 0 0. 0 0.







487 A 0 0 0. 0 0.







488 A 0 0 0. 0 0.







489 A 4 3 1. 22 0.136







490 A 4 3 1. 22 0.136







491 A 4 3 1. 20 0.15







492 A 6 4 1. 18 0.222







493 A 3 3 1. 22 0.136







494 A 4 3 1. 22 0.136







495 A 4 3 1. 22 0.136







496 A 4 3 1. 22 0.136







497 A 38 12 1.04 24 0.5







498 A 26 12 1.06 22 0.546







499 A 15 13 1.09 20 0.65







500 A 5 5 1. 24 0.208







501 A 8 8 0.79 24 0.333







502 A 8 8 0.74 24 0.333







503 A 73 17 0.97 22 0.773







504 A 23 17 0.94 20 0.85







505 A 6 6 1. 24 0.25







506 A 16 8 1. 24 0.333







507 A 28 8 1. 24 0.333







508 A 4 3 1. 22 0.136







509 A 6 5 1. 22 0.227







510 A 4 3 1. 20 0.15







511 A 6 5 1. 18 0.278







512 A 3 3 1. 22 0.136







513 A 6 5 1. 22 0.227







514 A 4 3 1. 22 0.136







515 A 9 5 1. 22 0.227







516 A 26 12 1.06 24 0.5







517 A 14 12 1.1 22 0.546







518 A 5 5 1. 24 0.208







519 A 8 8 0.79 24 0.333







520 A 8 8 0.74 24 0.333







521 A 28 17 1. 24 0.708







522 A 14 13 1. 20 0.65







523 A 19 14 1. 24 0.583







524 A 73 17 0.97 24 0.708







525 A 22 16 0.95 22 0.727







526 A 6 6 1. 24 0.25







527 A 16 8 1. 24 0.333







528 A 0 0 0. 0 0.







529 A 0 0 0. 0 0.







530 A 0 0 0. 0 0.







531 A 0 0 0. 0 0.







532 A 27 7 1. 22 0.318







533 A 21 7 1. 22 0.318







534 A 15 7 1. 20 0.35







535 A 9 7 1. 18 0.389







536 A 0 0 0. 0 0.







537 A 0 0 0. 0 0.







538 A 27 7 1. 24 0.292







539 A 21 7 1. 24 0.292







540 A 15 7 1. 22 0.318







541 A 9 7 1. 20 0.35







542 A 0 0 0. 0 0.







543 A 0 0 0. 0 0.







544 A 0 0 0. 0 0.







545 A 0 0 0. 0 0.







546 A 0 0 0. 0 0.







547 A 9 7 1. 22 0.318







548 A 21 7 1. 22 0.318







549 A 33 7 1. 22 0.318







550 A 0 0 0. 0 0.







551 A 0 0 0. 0 0.







552 A 0 0 0. 0 0.







553 A 9 7 1. 24 0.292







554 A 21 7 1. 24 0.292







555 A 33 7 1. 24 0.292







556 A 39 7 1. 22 0.318







557 A 30 7 1. 22 0.318







558 A 21 7 1. 20 0.35







559 A 12 7 1. 18 0.389







560 A 0 0 0. 0 0.







561 A 0 0 0. 0 0.







562 A 39 7 1. 24 0.292







563 A 30 7 1. 24 0.292







564 A 21 7 1. 22 0.318







565 A 12 7 1. 20 0.35







566 A 0 0 0. 0 0.







567 A 0 0 0. 0 0.







568 A 21 7 1. 22 0.318







569 A 12 7 1. 20 0.35







570 A 0 0 0. 0 0.







571 A 0 0 0. 0 0.







572 A 0 0 0. 0 0.







573 A 0 0 0. 0 0.







574 A 0 0 0. 0 0.







575 A 21 7 1. 24 0.292







576 A 12 7 1. 22 0.318







577 A 0 0 0. 0 0.







578 A 0 0 0. 0 0.







579 A 0 0 0. 0 0.







580 A 0 0 0. 0 0.







581 A 0 0 0. 0 0.







582 A 0 0 0. 0 0.







583 A 0 0 0. 0 0.







584 A 0 0 0. 0 0.







585 A 12 7 1. 22 0.318







586 A 21 7 1. 22 0.318







587 A 30 7 1. 22 0.318







588 A 0 0 0. 0 0.







589 A 0 0 0. 0 0.







590 A 0 0 0. 0 0.







591 A 12 7 1. 24 0.292







592 A 21 7 1. 24 0.292







593 A 30 7 1. 24 0.292







594 A 0 0 0. 0 0.







595 A 0 0 0. 0 0.







596 A 0 0 0. 0 0.







597 A 0 0 0. 0 0.







598 A 0 0 0. 0 0.







599 A 0 0 0. 0 0.







600 A 0 0 0. 0 0.







601 A 0 0 0. 0 0.







602 A 0 0 0. 0 0.







603 A 0 0 0. 0 0.







604 A 0 0 0. 0 0.







605 A 0 0 0. 0 0.







606 A 26 12 1. 29 0.414







607 A 25 12 1. 29 0.414







608 A 23 10 1. 29 0.345







609 A 24 11 1. 29 0.379







610 A 25 11 1. 29 0.379







611 A 38 13 1. 31 0.419







612 A 36 12 1. 31 0.387







613 A 35 12 1. 31 0.387







614 A 34 11 1. 31 0.355







615 A 35 11 1. 31 0.355







616 A 39 20 1. 31 0.645







617 A 25 11 1. 31 0.355







618 A 37 19 1. 31 0.613







619 A 2 2 1. 18 0.111







620 A 3 3 1. 23 0.13







621 A 6 5 1. 28 0.179







622 A 5 5 1. 28 0.179







623 A 4 4 1. 26 0.154







624 A 3 3 1. 20 0.15







625 A 0 0 0. 0 0.







626 A 0 0 0. 0 0.







627 A 0 0 0. 0 0.







628 A 3 3 1. 16 0.188







629 A 9 9 1. 16 0.562







630 A 4 4 1. 16 0.25







631 A 3 3 1. 14 0.214







632 A 4 4 1. 16 0.25







633 A 4 4 1. 16 0.25







634 A 9 9 1. 16 0.562







635 A 0 0 0. 0 0.







636 A 8 8 1. 22 0.364







637 A 7 7 1. 22 0.318







638 A 5 5 1. 22 0.227







639 A 5 4 1. 20 0.2







640 A 0 0 0. 0 0.







641 A 0 0 0. 0 0.