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, 642, 643, 644 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 24, 26, 27, 28, 29, 30, 31, 35, 36, 37, 49, 51, 60, 61, 62, 68, 69, 70, 71, 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, 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, 193, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237, 238, 239, 240, 241, 242, 243, 244, 245, 247, 248, 249, 250, 251, 252, 253, 254, 255, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 275, 276, 277, 278, 279, 280, 281, 282, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 304, 305, 306, 311, 312, 313, 319, 320, 321, 322, 323, 326, 327, 328, 329, 333, 334, 335, 336, 337, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 394, 398, 399, 422, 423, 424, 438, 439, 440, 449, 450, 451, 452, 453, 455, 456, 457, 458, 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, 525, 528, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 591, 592, 593, 594, 599, 601, 613, 615, 616, 617, 621, 622, 628, 631, 632, 633, 635, 636, 637, 638, 639, 641, 642, 643, 644 }

B grade: { 16, 17, 23, 25, 32, 33, 34, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 65, 66, 67, 72, 73, 236, 246, 256, 257, 273, 274, 283, 369, 393, 397, 454, 573, 574, 575, 576, 590, 595, 596, 597, 598, 600, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 614, 619, 620, 624, 625, 626, 627, 630, 640 }

C grade: { 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, 191, 192, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 301, 302, 303, 307, 308, 309, 310, 314, 315, 316, 317, 318, 324, 325, 330, 331, 332, 338, 339, 340, 344, 395, 396, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 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, 520, 521, 522, 524, 526, 527, 529, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 618, 623, 629, 634 }

F grade: { 441, 442, 443, 444, 445, 446, 447, 448, 523, 530}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 41, 42, 43, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 82, 83, 84, 85, 91, 92, 93, 100, 101, 102, 107, 130, 131, 137, 138, 139, 145, 146, 147, 148, 149, 151, 158, 159, 170, 171, 172, 173, 178, 179, 180, 181, 188, 189, 190, 192, 193, 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, 253, 254, 281, 282, 283, 284, 285, 286, 287, 288, 290, 291, 292, 293, 294, 300, 322, 323, 329, 330, 342, 343, 344, 367, 368, 387, 390, 391, 422, 437, 438, 439, 449, 455, 456, 457, 458, 461, 464, 467, 468, 469, 474, 475, 477, 478, 479, 480, 481, 483, 484, 485, 486, 488, 489, 490, 491, 492, 493, 494, 495, 496, 498, 499, 500, 501, 502, 503, 504, 507, 508, 509, 510, 511, 512, 513, 517, 518, 519, 525, 526, 527, 528, 534, 535, 552, 555, 567, 568, 569, 570, 585, 617, 632, 633, 634, 635, 641, 642, 643, 644 }

B grade: { 38, 39, 40, 44, 45, 46, 47, 54, 55, 78, 79, 80, 81, 86, 87, 88, 89, 90, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 132, 133, 134, 135, 136, 140, 141, 142, 143, 144, 150, 152, 153, 154, 155, 156, 157, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 174, 175, 176, 177, 182, 183, 184, 185, 186, 187, 191, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 250, 251, 252, 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, 289, 295, 296, 297, 298, 299, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 324, 325, 326, 327, 328, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 388, 389, 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, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 440, 441, 442, 443, 444, 445, 446, 447, 448, 459, 460, 462, 463, 465, 466, 470, 471, 472, 473, 476, 482, 487, 497, 505, 506, 514, 515, 516, 520, 521, 522, 523, 524, 529, 530, 531, 532, 533, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 553, 554, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 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, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631 }

C grade: { 341, 386 }

F grade: { 450, 451, 452, 453, 454, 636, 637, 638, 639, 640 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 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, 50, 51, 52, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 91, 92, 93, 94, 104, 215, 216, 217, 218, 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, 449, 455, 456, 457, 458, 635, 641, 642, 643, 644

B grade: { 6, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 53, 54, 55, 56, 63, 64, 79, 80, 81, 87, 88, 95, 97, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 183, 184, 185, 186, 187, 188, 189, 190, 219, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 517, 518 }

C grade: { }

F grade: { 89, 90, 96, 98, 99, 100, 101, 102, 103, 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, 182, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 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, 450, 451, 452, 453, 454, 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, 516, 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, 636, 637, 638, 639, 640 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 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, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 107, 108, 109, 110, 114, 115, 116, 117, 122, 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, 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, 257, 258, 261, 281, 282, 283, 284, 286, 287, 288, 289, 290, 291, 292, 293, 295, 449, 455, 456, 457, 458, 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, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 635, 641, 642, 643, 644 }

B grade: { 6, 53, 72, 78, 79, 103, 104, 105, 106, 111, 112, 113, 118, 119, 120, 121, 219, 255, 256, 259, 260, 262, 263, 264, 265, 266, 267, 268, 269, 270, 273, 274, 275, 276, 277, 285, 294 }

C grade: { }

F grade: { 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, 271, 272, 278, 279, 280, 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, 450, 451, 452, 453, 454, 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, 528, 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, 636, 637, 638, 639, 640 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 10, 11, 12, 13, 19, 20, 21, 28, 29, 30, 38, 39, 40, 41, 42, 47, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 65, 66, 67, 68, 69, 70, 215, 216, 217, 223, 224, 225, 231, 232, 233, 240, 241, 242, 253, 281, 282, 283, 284, 285, 286, 288, 456, 457, 458, 642, 643 }

B grade: { }

C grade: { }

F grade: { 5, 6, 7, 8, 9, 14, 15, 16, 17, 18, 22, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 36, 37, 43, 44, 45, 46, 52, 53, 54, 55, 62, 63, 64, 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, 218, 219, 220, 221, 222, 226, 227, 228, 229, 230, 234, 235, 236, 237, 238, 239, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 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, 287, 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, 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, 644 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 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, 94, 100, 101, 102, 103, 107, 108, 109, 110, 111, 115, 116, 117, 118, 119, 120, 215, 216, 217, 223, 224, 225, 231, 232, 233, 235, 240, 241, 242, 244, 251, 252, 253, 254, 255, 258, 260, 261, 262, 264, 281, 282, 283, 286, 287, 288, 289, 290, 291, 292, 294, 295, 457, 458, 635, 641, 642, 643, 644 }

B grade: { 5, 6, 7, 15, 78, 79, 80, 81, 86, 87, 88, 89, 90, 95, 96, 97, 98, 99, 104, 105, 106, 112, 113, 114, 121, 122, 218, 219, 220, 221, 222, 226, 227, 228, 229, 230, 234, 236, 237, 238, 239, 243, 245, 246, 247, 248, 249, 250, 256, 257, 259, 263, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 285, 293 }

C grade: { 284 }

F grade: { 74, 75, 76, 77, 82, 83, 84, 85, 91, 92, 93, 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, 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, 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, 636, 637, 638, 639, 640 }

2.2 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 77 128 167 239 333 151
normalized size 1 1. 0.62 1.02 1.34 1.91 2.66 1.21
time (sec) N/A 0.167 0.244 0.05 1.012 1.76 3.587 1.101


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 75 107 136 193 252 120
normalized size 1 1. 0.77 1.1 1.4 1.99 2.6 1.24
time (sec) N/A 0.149 0.223 0.052 1.007 1.433 1.805 1.147


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 65 85 107 146 168 92
normalized size 1 1. 0.84 1.1 1.39 1.9 2.18 1.19
time (sec) N/A 0.078 0.166 0.053 0.984 1.375 0.928 1.105


















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 47 47 44 57 74 99 94 61
normalized size 1 1. 0.94 1.21 1.57 2.11 2. 1.3
time (sec) N/A 0.021 0.098 0.046 0.987 1.333 0.412 1.168


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 46 56 63 139 0 107
normalized size 1 1. 1.44 1.75 1.97 4.34 0. 3.34
time (sec) N/A 0.091 0.024 0.076 0.99 1.451 0. 1.233


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 43 65 99 220 0 113
normalized size 1 1. 1.34 2.03 3.09 6.88 0. 3.53
time (sec) N/A 0.103 0.019 0.092 1.038 1.473 0. 1.213


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 75 86 128 239 0 167
normalized size 1 1. 1.34 1.54 2.29 4.27 0. 2.98
time (sec) N/A 0.137 0.027 0.093 0.99 1.409 0. 1.241


















Problem 8 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 86 86 56 128 171 288 0 208
normalized size 1 1. 0.65 1.49 1.99 3.35 0. 2.42
time (sec) N/A 0.154 0.303 0.101 1.029 1.423 0. 1.25


















Problem 9 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 106 106 77 171 220 339 0 254
normalized size 1 1. 0.73 1.61 2.08 3.2 0. 2.4
time (sec) N/A 0.165 0.364 0.151 0.982 1.41 0. 1.271


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 134 217 292 327 600 224
normalized size 1 1. 0.7 1.14 1.53 1.71 3.14 1.17
time (sec) N/A 0.31 0.59 0.057 1.052 1.429 6.142 1.197


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 108 186 240 271 459 185
normalized size 1 1. 0.68 1.16 1.5 1.69 2.87 1.16
time (sec) N/A 0.278 0.398 0.076 0.975 1.4 3.417 1.222


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 86 154 194 213 338 149
normalized size 1 1. 0.67 1.19 1.5 1.65 2.62 1.16
time (sec) N/A 0.176 0.331 0.051 0.991 1.439 2.195 1.187


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 61 116 149 165 199 115
normalized size 1 1. 0.65 1.23 1.59 1.76 2.12 1.22
time (sec) N/A 0.059 0.18 0.046 1. 1.406 0.792 1.198


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 96 108 127 194 0 196
normalized size 1 1. 1.17 1.32 1.55 2.37 0. 2.39
time (sec) N/A 0.193 0.171 0.081 0.971 1.444 0. 1.225


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 143 107 142 278 0 209
normalized size 1 1. 1.93 1.45 1.92 3.76 0. 2.82
time (sec) N/A 0.21 0.311 0.092 1.001 1.424 0. 1.243


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 277 113 192 297 0 208
normalized size 1 1. 3.15 1.28 2.18 3.38 0. 2.36
time (sec) N/A 0.219 1.183 0.106 0.98 1.392 0. 1.323


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 451 141 235 315 0 240
normalized size 1 1. 3.99 1.25 2.08 2.79 0. 2.12
time (sec) N/A 0.27 5.642 0.099 1.019 1.379 0. 1.233


















Problem 18 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 144 144 262 187 311 362 0 286
normalized size 1 1. 1.82 1.3 2.16 2.51 0. 1.99
time (sec) N/A 0.304 1.134 0.115 1.021 1.481 0. 1.242


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 134 266 354 332 695 224
normalized size 1 1. 0.67 1.32 1.76 1.65 3.46 1.11
time (sec) N/A 0.432 0.546 0.073 0.998 1.459 8.225 1.252


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 108 223 288 278 530 184
normalized size 1 1. 0.7 1.45 1.87 1.81 3.44 1.19
time (sec) N/A 0.229 0.409 0.052 0.976 1.453 4.328 1.21


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 86 176 225 216 371 151
normalized size 1 1. 0.74 1.52 1.94 1.86 3.2 1.3
time (sec) N/A 0.098 0.303 0.047 1.026 1.334 1.61 1.184


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 113 153 190 254 0 243
normalized size 1 1. 1.02 1.38 1.71 2.29 0. 2.19
time (sec) N/A 0.304 0.249 0.111 1. 1.497 0. 1.289


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 272 145 189 323 0 259
normalized size 1 1. 2.47 1.32 1.72 2.94 0. 2.35
time (sec) N/A 0.308 1.69 0.1 1.026 1.416 0. 1.323


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 208 144 223 342 0 259
normalized size 1 1. 1.82 1.26 1.96 3. 0. 2.27
time (sec) N/A 0.338 1.839 0.111 1.01 1.471 0. 1.262


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 786 158 286 356 0 255
normalized size 1 1. 6.29 1.26 2.29 2.85 0. 2.04
time (sec) N/A 0.337 6.347 0.152 1.004 1.421 0. 1.329


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 273 188 363 366 0 286
normalized size 1 1. 1.77 1.22 2.36 2.38 0. 1.86
time (sec) N/A 0.418 1.236 0.121 1.007 1.404 0. 1.339


















Problem 27 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 185 185 294 234 455 431 0 332
normalized size 1 1. 1.59 1.26 2.46 2.33 0. 1.79
time (sec) N/A 0.447 1.415 0.114 1.028 1.478 0. 1.271


















Problem 28 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 241 241 156 358 481 396 960 261
normalized size 1 1. 0.65 1.49 2. 1.64 3.98 1.08
time (sec) N/A 0.593 0.793 0.067 1.018 1.432 11.627 1.317


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 134 306 401 329 765 224
normalized size 1 1. 0.72 1.65 2.17 1.78 4.14 1.21
time (sec) N/A 0.304 0.49 0.059 1.019 1.466 6.802 1.233


















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 150 150 108 248 319 279 544 188
normalized size 1 1. 0.72 1.65 2.13 1.86 3.63 1.25
time (sec) N/A 0.139 0.336 0.051 1.03 1.313 4.469 1.238


















Problem 31 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 151 151 138 199 267 306 0 289
normalized size 1 1. 0.91 1.32 1.77 2.03 0. 1.91
time (sec) N/A 0.413 0.372 0.105 1.012 1.814 0. 1.299


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 312 190 252 383 0 305
normalized size 1 1. 2.08 1.27 1.68 2.55 0. 2.03
time (sec) N/A 0.453 1.548 0.148 1.011 1.676 0. 1.344


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 343 182 269 390 0 311
normalized size 1 1. 2.12 1.12 1.66 2.41 0. 1.92
time (sec) N/A 0.476 4.283 0.127 1.028 1.452 0. 1.335


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 380 189 317 405 0 306
normalized size 1 1. 2.3 1.15 1.92 2.45 0. 1.85
time (sec) N/A 0.514 6.203 0.124 1.019 1.545 0. 1.303


















Problem 35 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 173 173 326 204 414 408 0 301
normalized size 1 1. 1.88 1.18 2.39 2.36 0. 1.74
time (sec) N/A 0.523 1.719 0.122 1.256 1.436 0. 1.274


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 306 234 508 431 0 332
normalized size 1 1. 1.55 1.18 2.57 2.18 0. 1.68
time (sec) N/A 0.587 1.571 0.152 1.174 1.395 0. 1.307


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 358 280 626 481 0 378
normalized size 1 1. 1.56 1.22 2.73 2.1 0. 1.65
time (sec) N/A 0.65 2.079 0.125 1.066 1.416 0. 1.316


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 311 351 532 301 1794 244
normalized size 1 1. 2.03 2.29 3.48 1.97 11.73 1.59
time (sec) N/A 0.207 0.607 0.069 1.537 1.376 13.353 1.184


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 249 281 419 242 1161 204
normalized size 1 1. 2.04 2.3 3.43 1.98 9.52 1.67
time (sec) N/A 0.172 0.534 0.066 1.521 1.466 7.635 1.241


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 99 197 211 304 204 665 167
normalized size 1 1.1 2.19 2.34 3.38 2.27 7.39 1.86
time (sec) N/A 0.123 0.438 0.069 1.506 1.426 4.29 1.179


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 126 108 193 147 264 105
normalized size 1 1. 2.33 2. 3.57 2.72 4.89 1.94
time (sec) N/A 0.139 0.231 0.061 1.614 1.337 2.186 1.213


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 72 56 99 105 49 58
normalized size 1 1. 2.12 1.65 2.91 3.09 1.44 1.71
time (sec) N/A 0.05 0.117 0.053 1.501 1.312 1.108 1.167


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 109 78 134 197 0 96
normalized size 1 1. 2.48 1.77 3.05 4.48 0. 2.18
time (sec) N/A 0.078 0.238 0.082 1.015 1.39 0. 1.227


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 201 163 265 320 0 149
normalized size 1 1. 2.91 2.36 3.84 4.64 0. 2.16
time (sec) N/A 0.156 1.1 0.106 1.018 1.397 0. 1.266


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 289 252 381 385 0 212
normalized size 1 1. 2.7 2.36 3.56 3.6 0. 1.98
time (sec) N/A 0.169 3.081 0.115 1.025 1.373 0. 1.254


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 490 340 497 419 0 246
normalized size 1 1. 3.74 2.6 3.79 3.2 0. 1.88
time (sec) N/A 0.18 4.114 0.104 1.325 1.454 0. 1.189


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 369 322 502 387 1425 259
normalized size 1 1. 2.17 1.89 2.95 2.28 8.38 1.52
time (sec) N/A 0.322 0.617 0.066 2.01 1.389 21.057 1.195


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 315 252 382 343 843 221
normalized size 1 1. 2.14 1.71 2.6 2.33 5.73 1.5
time (sec) N/A 0.341 0.757 0.061 1.953 1.388 12.303 1.245


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 137 149 258 294 411 161
normalized size 1 1. 1.38 1.51 2.61 2.97 4.15 1.63
time (sec) N/A 0.276 0.677 0.079 1.895 1.366 7.01 1.267


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 153 97 162 228 105 116
normalized size 1 1. 2.19 1.39 2.31 3.26 1.5 1.66
time (sec) N/A 0.155 0.333 0.052 1.847 1.359 3.511 1.242


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 76 60 126 144 94 81
normalized size 1 1. 1.17 0.92 1.94 2.22 1.45 1.25
time (sec) N/A 0.054 0.169 0.045 1.234 1.363 2.852 1.214


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 170 119 196 338 0 153
normalized size 1 1. 2.15 1.51 2.48 4.28 0. 1.94
time (sec) N/A 0.18 0.487 0.082 1.27 1.38 0. 1.235


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 264 205 329 502 0 209
normalized size 1 1. 2.47 1.92 3.07 4.69 0. 1.95
time (sec) N/A 0.295 1.512 0.095 1.049 1.463 0. 1.214


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 496 294 454 564 0 267
normalized size 1 1. 3.26 1.93 2.99 3.71 0. 1.76
time (sec) N/A 0.314 3.106 0.109 1.044 1.447 0. 1.246


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 609 382 574 617 0 305
normalized size 1 1. 3.4 2.13 3.21 3.45 0. 1.7
time (sec) N/A 0.365 4.847 0.125 1.048 1.479 0. 1.203


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 491 362 556 539 1584 308
normalized size 1 1. 2.25 1.66 2.55 2.47 7.27 1.41
time (sec) N/A 0.515 0.908 0.065 1.511 1.404 45.615 1.215


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 435 292 435 497 966 270
normalized size 1 1. 2.25 1.51 2.25 2.58 5.01 1.4
time (sec) N/A 0.468 0.791 0.066 1.508 1.473 27.862 1.178


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 361 189 312 429 496 209
normalized size 1 1. 2.46 1.29 2.12 2.92 3.37 1.42
time (sec) N/A 0.457 0.833 0.065 1.568 1.364 16.565 1.212


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 241 137 216 351 148 162
normalized size 1 1. 2.08 1.18 1.86 3.03 1.28 1.4
time (sec) N/A 0.321 0.537 0.056 1.49 1.378 9.228 1.238


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 135 64 155 227 117 101
normalized size 1 1. 1.32 0.63 1.52 2.23 1.15 0.99
time (sec) N/A 0.188 0.32 0.05 1.017 1.312 5.7 1.217


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 96 64 155 227 114 101
normalized size 1 1. 0.94 0.63 1.52 2.23 1.12 0.99
time (sec) N/A 0.079 0.259 0.044 1.022 1.338 3.662 1.206


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 197 159 252 481 0 200
normalized size 1 1. 1.68 1.36 2.15 4.11 0. 1.71
time (sec) N/A 0.311 0.912 0.094 1.007 1.364 0. 1.269


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 482 245 386 670 0 257
normalized size 1 1. 3.32 1.69 2.66 4.62 0. 1.77
time (sec) N/A 0.469 2.924 0.108 1.029 1.468 0. 1.263


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 610 334 509 756 0 315
normalized size 1 1. 3.11 1.7 2.6 3.86 0. 1.61
time (sec) N/A 0.541 4.673 0.112 1.002 1.444 0. 1.229


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 555 332 491 647 1085 315
normalized size 1 1. 2.42 1.45 2.14 2.83 4.74 1.38
time (sec) N/A 0.672 1.255 0.064 1.49 1.425 91.689 1.287


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 481 229 366 572 578 254
normalized size 1 1. 2.6 1.24 1.98 3.09 3.12 1.37
time (sec) N/A 0.679 0.855 0.058 1.478 1.316 42.492 1.284


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 329 177 271 475 192 209
normalized size 1 1. 2.14 1.15 1.76 3.08 1.25 1.36
time (sec) N/A 0.498 0.741 0.059 1.479 1.386 24.311 1.215


















Problem 68 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 136 136 193 90 236 308 182 158
normalized size 1 1. 1.42 0.66 1.74 2.26 1.34 1.16
time (sec) N/A 0.348 0.435 0.053 1.009 1.367 16.207 1.185


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 163 88 235 309 178 158
normalized size 1 1. 1.18 0.64 1.7 2.24 1.29 1.14
time (sec) N/A 0.215 0.359 0.053 1.01 1.297 11.417 1.177


















Problem 70 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 138 138 109 88 236 311 177 158
normalized size 1 1. 0.79 0.64 1.71 2.25 1.28 1.14
time (sec) N/A 0.138 0.324 0.049 1.004 1.402 8.089 1.19


















Problem 71 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 147 147 239 199 308 624 0 246
normalized size 1 1. 1.63 1.35 2.1 4.24 0. 1.67
time (sec) N/A 0.466 1.419 0.095 1.039 1.482 0. 1.259


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 595 285 440 838 0 302
normalized size 1 1. 3.4 1.63 2.51 4.79 0. 1.73
time (sec) N/A 0.672 4.879 0.113 1.039 1.413 0. 1.29


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 798 374 566 938 0 360
normalized size 1 1. 3.44 1.61 2.44 4.04 0. 1.55
time (sec) N/A 0.688 6.446 0.115 1.038 1.513 0. 1.282


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 103 121 196 263 0 0
normalized size 1 1. 0.55 0.65 1.05 1.41 0. 0.
time (sec) N/A 0.304 0.629 1.147 1.901 1.333 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 80 102 159 219 0 0
normalized size 1 1. 0.56 0.71 1.1 1.52 0. 0.
time (sec) N/A 0.265 0.335 0.998 1.935 1.224 0. 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 64 83 119 170 0 0
normalized size 1 1. 0.63 0.82 1.18 1.68 0. 0.
time (sec) N/A 0.202 0.186 1.095 1.824 1.343 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 46 62 77 126 0 0
normalized size 1 1. 0.74 1. 1.24 2.03 0. 0.
time (sec) N/A 0.059 0.075 1.125 1.792 1.333 0. 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 66 210 28 344 0 201
normalized size 1 1. 1. 3.18 0.42 5.21 0. 3.05
time (sec) N/A 0.138 0.085 3.296 1.635 1.521 0. 3.985


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 85 642 959 406 0 351
normalized size 1 1. 1.25 9.44 14.1 5.97 0. 5.16
time (sec) N/A 0.163 0.2 3.951 1.87 1.564 0. 2.851


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 101 991 4525 460 0 637
normalized size 1 1. 0.86 8.47 38.68 3.93 0. 5.44
time (sec) N/A 0.22 0.781 3.84 20.601 1.514 0. 2.765


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 129 1311 6778 508 0 861
normalized size 1 1. 0.81 8.19 42.36 3.18 0. 5.38
time (sec) N/A 0.293 1.787 3.984 21.461 1.614 0. 2.793


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 125 142 250 351 0 0
normalized size 1 1. 0.53 0.61 1.07 1.5 0. 0.
time (sec) N/A 0.529 0.956 1.046 2. 1.331 0. 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 103 123 208 286 0 0
normalized size 1 1. 0.54 0.65 1.1 1.51 0. 0.
time (sec) N/A 0.446 0.528 1.463 1.969 1.404 0. 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 81 104 166 236 0 0
normalized size 1 1. 0.59 0.75 1.2 1.71 0. 0.
time (sec) N/A 0.25 0.357 1.29 1.86 1.616 0. 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 65 85 126 182 0 0
normalized size 1 1. 0.64 0.84 1.25 1.8 0. 0.
time (sec) N/A 0.087 0.18 1.117 1.811 1.612 0. 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 85 272 53 397 0 265
normalized size 1 1. 0.81 2.59 0.5 3.78 0. 2.52
time (sec) N/A 0.265 0.192 3.507 1.659 2.158 0. 5.903


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 98 696 1775 451 0 401
normalized size 1 1. 0.95 6.76 17.23 4.38 0. 3.89
time (sec) N/A 0.284 0.301 3.605 1.907 2.387 0. 3.129


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 109 991 4508 474 0 639
normalized size 1 1. 0.92 8.33 37.88 3.98 0. 5.37
time (sec) N/A 0.325 0.511 3.779 2.492 1.978 0. 2.972


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 132 1310 0 531 0 861
normalized size 1 1. 0.8 7.99 0. 3.24 0. 5.25
time (sec) N/A 0.4 0.919 4.168 0. 1.993 0. 2.923


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 151 1631 0 581 0 1083
normalized size 1 1. 0.72 7.8 0. 2.78 0. 5.18
time (sec) N/A 0.485 1.471 4.114 0. 2.237 0. 3.214


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 127 142 279 366 0 0
normalized size 1 1. 0.54 0.6 1.18 1.54 0. 0.
time (sec) N/A 0.648 1.085 1.161 3.02 1.659 0. 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 105 123 232 302 0 0
normalized size 1 1. 0.6 0.7 1.33 1.73 0. 0.
time (sec) N/A 0.28 0.671 1.134 2.791 1.629 0. 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 83 104 188 248 0 0
normalized size 1 1. 0.6 0.75 1.36 1.8 0. 0.
time (sec) N/A 0.109 0.319 1. 2.65 1.618 0. 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 104 311 82 462 0 306
normalized size 1 1. 0.73 2.19 0.58 3.25 0. 2.15
time (sec) N/A 0.414 0.38 4.168 2.646 1.764 0. 3.833


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 120 756 10954 516 0 460
normalized size 1 1. 0.83 5.25 76.07 3.58 0. 3.19
time (sec) N/A 0.447 0.505 3.766 4.808 1.945 0. 2.828


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 126 1016 0 522 0 686
normalized size 1 1. 0.81 6.51 0. 3.35 0. 4.4
time (sec) N/A 0.474 0.62 4.404 0. 2.027 0. 3.129


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 131 1310 10792 544 0 861
normalized size 1 1. 0.8 7.99 65.8 3.32 0. 5.25
time (sec) N/A 0.526 1.05 4.138 22.504 2.047 0. 3.278


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 152 1630 0 608 0 1083
normalized size 1 1. 0.73 7.8 0. 2.91 0. 5.18
time (sec) N/A 0.609 1.656 4.174 0. 2.182 0. 3.409


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 176 1951 0 670 0 1304
normalized size 1 1. 0.69 7.68 0. 2.64 0. 5.13
time (sec) N/A 0.713 2.024 4.312 0. 2.32 0. 3.568


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 111 281 0 494 0 244
normalized size 1 1. 0.55 1.39 0. 2.45 0. 1.21
time (sec) N/A 0.578 0.642 2.797 0. 1.665 0. 1.772


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 94 240 0 446 0 213
normalized size 1 1. 0.59 1.51 0. 2.81 0. 1.34
time (sec) N/A 0.384 0.32 2.135 0. 1.723 0. 1.742


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 78 194 0 400 0 153
normalized size 1 1. 0.66 1.64 0. 3.39 0. 1.3
time (sec) N/A 0.21 0.156 2.51 0. 1.664 0. 1.726


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 60 160 0 363 0 119
normalized size 1 1. 0.77 2.05 0. 4.65 0. 1.53
time (sec) N/A 0.071 0.063 1.862 0. 1.644 0. 1.672


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 72 268 123 464 0 227
normalized size 1 1. 0.79 2.95 1.35 5.1 0. 2.49
time (sec) N/A 0.166 0.077 4.029 2.026 1.802 0. 2.741


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 95 812 0 699 0 433
normalized size 1 1. 0.8 6.82 0. 5.87 0. 3.64
time (sec) N/A 0.308 0.335 4.62 0. 2.156 0. 2.938


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 114 1240 0 753 0 722
normalized size 1 1. 0.69 7.52 0. 4.56 0. 4.38
time (sec) N/A 0.48 0.771 5.027 0. 2.136 0. 3.091


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 167 448 0 653 0 343
normalized size 1 1. 0.64 1.72 0. 2.5 0. 1.31
time (sec) N/A 0.786 1.066 2.718 0. 1.791 0. 1.992


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 142 407 0 601 0 273
normalized size 1 1. 0.66 1.88 0. 2.78 0. 1.26
time (sec) N/A 0.595 0.871 2.473 0. 1.799 0. 1.929


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 97 327 0 544 0 227
normalized size 1 1. 0.57 1.91 0. 3.18 0. 1.33
time (sec) N/A 0.42 0.704 2.164 0. 1.682 0. 1.916


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 104 256 0 493 0 177
normalized size 1 1. 0.88 2.17 0. 4.18 0. 1.5
time (sec) N/A 0.223 0.393 2.435 0. 1.767 0. 1.893


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 63 220 0 455 0 136
normalized size 1 1. 0.72 2.53 0. 5.23 0. 1.56
time (sec) N/A 0.077 0.184 2.506 0. 1.729 0. 1.742


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 131 374 0 737 0 289
normalized size 1 1. 1.03 2.94 0. 5.8 0. 2.28
time (sec) N/A 0.315 0.646 4.757 0. 1.934 0. 3.089


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 141 1051 0 880 0 504
normalized size 1 1. 0.83 6.18 0. 5.18 0. 2.96
time (sec) N/A 0.521 1.038 4.868 0. 2.301 0. 3.227


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 205 1540 0 944 0 787
normalized size 1 1. 0.93 6.97 0. 4.27 0. 3.56
time (sec) N/A 0.705 1.462 5.48 0. 2.353 0. 3.275


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 139 467 0 741 0 347
normalized size 1 1. 0.53 1.79 0. 2.84 0. 1.33
time (sec) N/A 0.799 1.461 2.654 0. 1.723 0. 2.281


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 117 397 0 687 0 275
normalized size 1 1. 0.54 1.84 0. 3.18 0. 1.27
time (sec) N/A 0.611 1.009 2.477 0. 1.776 0. 2.205


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 100 327 0 628 0 244
normalized size 1 1. 0.59 1.93 0. 3.72 0. 1.44
time (sec) N/A 0.42 0.685 2.579 0. 1.694 0. 2.185


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 87 292 0 586 0 181
normalized size 1 1. 0.69 2.32 0. 4.65 0. 1.44
time (sec) N/A 0.23 0.462 2.665 0. 1.676 0. 2.121


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 80 292 0 579 0 181
normalized size 1 1. 0.63 2.32 0. 4.6 0. 1.44
time (sec) N/A 0.103 0.455 2.23 0. 1.726 0. 1.871


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 126 445 0 902 0 338
normalized size 1 1. 0.77 2.71 0. 5.5 0. 2.06
time (sec) N/A 0.466 1.379 4.747 0. 1.911 0. 3.289


















Problem 121 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 207 207 142 1122 0 1067 0 552
normalized size 1 1. 0.69 5.42 0. 5.15 0. 2.67
time (sec) N/A 0.715 3.052 5.265 0. 2.462 0. 3.768


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 178 1610 0 1131 0 837
normalized size 1 1. 0.67 6.1 0. 4.28 0. 3.17
time (sec) N/A 0.923 5.656 5.76 0. 2.54 0. 3.768


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 914 411 0 0 0 0
normalized size 1 1. 5.75 2.58 0. 0. 0. 0.
time (sec) N/A 0.199 6.314 3.214 0. 0. 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 872 383 0 0 0 0
normalized size 1 1. 6.61 2.9 0. 0. 0. 0.
time (sec) N/A 0.175 6.247 3.418 0. 0. 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 830 355 0 0 0 0
normalized size 1 1. 8.22 3.51 0. 0. 0. 0.
time (sec) N/A 0.158 6.198 3.14 0. 0. 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 70 70 309 321 0 0 0 0
normalized size 1 1. 4.41 4.59 0. 0. 0. 0.
time (sec) N/A 0.144 5.734 3.188 0. 0. 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 66 66 256 240 0 0 0 0
normalized size 1 1. 3.88 3.64 0. 0. 0. 0.
time (sec) N/A 0.148 5.82 3.251 0. 0. 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 813 426 0 0 0 0
normalized size 1 1. 8.56 4.48 0. 0. 0. 0.
time (sec) N/A 0.169 6.33 7.918 0. 0. 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 865 661 0 0 0 0
normalized size 1 1. 6.55 5.01 0. 0. 0. 0.
time (sec) N/A 0.177 6.374 10.085 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 944 413 0 0 0 0
normalized size 1 1. 4.87 2.13 0. 0. 0. 0.
time (sec) N/A 0.319 6.263 3.137 0. 0. 0. 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 898 385 0 0 0 0
normalized size 1 1. 5.58 2.39 0. 0. 0. 0.
time (sec) N/A 0.289 6.227 3.511 0. 0. 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 126 126 852 357 0 0 0 0
normalized size 1 1. 6.76 2.83 0. 0. 0. 0.
time (sec) N/A 0.274 6.271 3.53 0. 0. 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 623 388 0 0 0 0
normalized size 1 1. 5.28 3.29 0. 0. 0. 0.
time (sec) N/A 0.269 6.334 3.598 0. 0. 0. 0.


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 624 513 0 0 0 0
normalized size 1 1. 5.2 4.28 0. 0. 0. 0.
time (sec) N/A 0.28 6.394 3.663 0. 0. 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 883 741 0 0 0 0
normalized size 1 1. 5.55 4.66 0. 0. 0. 0.
time (sec) N/A 0.306 6.463 10.34 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 925 851 0 0 0 0
normalized size 1 1. 4.77 4.39 0. 0. 0. 0.
time (sec) N/A 0.337 6.533 12.111 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 237 237 990 441 0 0 0 0
normalized size 1 1. 4.18 1.86 0. 0. 0. 0.
time (sec) N/A 0.479 6.298 4.067 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 944 413 0 0 0 0
normalized size 1 1. 4.63 2.02 0. 0. 0. 0.
time (sec) N/A 0.447 6.26 3.167 0. 0. 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 898 385 0 0 0 0
normalized size 1 1. 5.25 2.25 0. 0. 0. 0.
time (sec) N/A 0.427 6.321 3.609 0. 0. 0. 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 888 519 0 0 0 0
normalized size 1 1. 5.25 3.07 0. 0. 0. 0.
time (sec) N/A 0.434 6.412 4.093 0. 0. 0. 0.


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 879 654 0 0 0 0
normalized size 1 1. 5.46 4.06 0. 0. 0. 0.
time (sec) N/A 0.43 6.482 4.144 0. 0. 0. 0.


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 890 916 0 0 0 0
normalized size 1 1. 5.2 5.36 0. 0. 0. 0.
time (sec) N/A 0.462 6.528 10.02 0. 0. 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 925 929 0 0 0 0
normalized size 1 1. 4.53 4.55 0. 0. 0. 0.
time (sec) N/A 0.491 6.563 13.096 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 237 237 967 1178 0 0 0 0
normalized size 1 1. 4.08 4.97 0. 0. 0. 0.
time (sec) N/A 0.521 6.631 14.807 0. 0. 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 1182 281 0 0 0 0
normalized size 1 1. 7.58 1.8 0. 0. 0. 0.
time (sec) N/A 0.199 6.557 3.599 0. 0. 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 123 123 1129 262 0 0 0 0
normalized size 1 1. 9.18 2.13 0. 0. 0. 0.
time (sec) N/A 0.18 6.488 2.849 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 1098 244 0 0 0 0
normalized size 1 1. 12.92 2.87 0. 0. 0. 0.
time (sec) N/A 0.15 6.408 3.473 0. 0. 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 1094 243 0 0 0 0
normalized size 1 1. 13.18 2.93 0. 0. 0. 0.
time (sec) N/A 0.15 6.423 3.329 0. 0. 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 1130 319 0 0 0 0
normalized size 1 1. 9.5 2.68 0. 0. 0. 0.
time (sec) N/A 0.174 6.606 6.605 0. 0. 0. 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 1167 493 0 0 0 0
normalized size 1 1. 7.63 3.22 0. 0. 0. 0.
time (sec) N/A 0.195 6.912 10.125 0. 0. 0. 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 1262 465 0 0 0 0
normalized size 1 1. 6.22 2.29 0. 0. 0. 0.
time (sec) N/A 0.407 6.77 3.945 0. 0. 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 166 1218 435 0 0 0 0
normalized size 1 1. 7.34 2.62 0. 0. 0. 0.
time (sec) N/A 0.389 6.682 3.277 0. 0. 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 1184 421 0 0 0 0
normalized size 1 1. 8.71 3.1 0. 0. 0. 0.
time (sec) N/A 0.314 6.577 3.768 0. 0. 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 815 350 0 0 0 0
normalized size 1 1. 6.74 2.89 0. 0. 0. 0.
time (sec) N/A 0.277 6.472 3.144 0. 0. 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 815 350 0 0 0 0
normalized size 1 1. 6.74 2.89 0. 0. 0. 0.
time (sec) N/A 0.342 6.486 3.663 0. 0. 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 1217 494 0 0 0 0
normalized size 1 1. 7.24 2.94 0. 0. 0. 0.
time (sec) N/A 0.359 6.69 4.243 0. 0. 0. 0.


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 1258 750 0 0 0 0
normalized size 1 1. 6.26 3.73 0. 0. 0. 0.
time (sec) N/A 0.364 7.194 11.656 0. 0. 0. 0.


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 254 254 1346 493 0 0 0 0
normalized size 1 1. 5.3 1.94 0. 0. 0. 0.
time (sec) N/A 0.548 7.028 3.471 0. 0. 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 219 219 1306 465 0 0 0 0
normalized size 1 1. 5.96 2.12 0. 0. 0. 0.
time (sec) N/A 0.518 6.857 3.536 0. 0. 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 1273 451 0 0 0 0
normalized size 1 1. 6.77 2.4 0. 0. 0. 0.
time (sec) N/A 0.478 6.793 3.592 0. 0. 0. 0.


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 1265 451 0 0 0 0
normalized size 1 1. 7.03 2.51 0. 0. 0. 0.
time (sec) N/A 0.47 6.699 3.637 0. 0. 0. 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 1264 451 0 0 0 0
normalized size 1 1. 7.1 2.53 0. 0. 0. 0.
time (sec) N/A 0.464 6.587 3.708 0. 0. 0. 0.


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 1265 451 0 0 0 0
normalized size 1 1. 6.95 2.48 0. 0. 0. 0.
time (sec) N/A 0.48 6.659 3.121 0. 0. 0. 0.


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 1305 685 0 0 0 0
normalized size 1 1. 5.9 3.1 0. 0. 0. 0.
time (sec) N/A 0.519 6.927 4.433 0. 0. 0. 0.


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 254 254 1346 876 0 0 0 0
normalized size 1 1. 5.3 3.45 0. 0. 0. 0.
time (sec) N/A 0.603 7.474 4.655 0. 0. 0. 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 135 428 11097 423 0 0
normalized size 1 1. 0.61 1.94 50.21 1.91 0. 0.
time (sec) N/A 0.35 0.985 0.678 4.527 2.23 0. 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 118 356 4024 373 0 0
normalized size 1 1. 0.67 2.02 22.86 2.12 0. 0.
time (sec) N/A 0.298 0.531 0.721 3.625 1.991 0. 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 100 284 2499 324 0 0
normalized size 1 1. 0.76 2.17 19.08 2.47 0. 0.
time (sec) N/A 0.227 0.288 0.681 2.727 1.959 0. 0.


















Problem 169 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 78 78 83 164 1268 274 0 0
normalized size 1 1. 1.06 2.1 16.26 3.51 0. 0.
time (sec) N/A 0.169 0.153 0.692 2.665 1.888 0. 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 86 109 331 298 0 0
normalized size 1 1. 1.13 1.43 4.36 3.92 0. 0.
time (sec) N/A 0.165 0.162 0.657 2.309 1.623 0. 0.


















Problem 171 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 85 85 57 62 390 177 0 0
normalized size 1 1. 0.67 0.73 4.59 2.08 0. 0.
time (sec) N/A 0.163 0.143 0.647 1.835 1.461 0. 0.


















Problem 172 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 130 130 78 86 578 223 0 0
normalized size 1 1. 0.6 0.66 4.45 1.72 0. 0.
time (sec) N/A 0.218 0.239 0.715 2.014 1.428 0. 0.


















Problem 173 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 175 175 102 108 705 270 0 0
normalized size 1 1. 0.58 0.62 4.03 1.54 0. 0.
time (sec) N/A 0.286 0.368 0.605 2.043 1.42 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 136 429 12020 451 0 0
normalized size 1 1. 0.6 1.89 52.95 1.99 0. 0.
time (sec) N/A 0.504 1.099 0.517 5.038 2.321 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 119 357 4081 401 0 0
normalized size 1 1. 0.66 1.98 22.67 2.23 0. 0.
time (sec) N/A 0.412 0.654 0.689 3.478 1.904 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 101 283 2543 343 0 0
normalized size 1 1. 0.76 2.13 19.12 2.58 0. 0.
time (sec) N/A 0.33 0.355 0.677 2.556 1.874 0. 0.


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 107 300 2431 362 0 0
normalized size 1 1. 0.85 2.38 19.29 2.87 0. 0.
time (sec) N/A 0.331 0.311 0.596 2.451 2.059 0. 0.


















Problem 178 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 125 125 106 211 1517 359 0 0
normalized size 1 1. 0.85 1.69 12.14 2.87 0. 0.
time (sec) N/A 0.315 0.369 0.596 2.11 1.935 0. 0.


















Problem 179 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 134 134 80 87 464 231 0 0
normalized size 1 1. 0.6 0.65 3.46 1.72 0. 0.
time (sec) N/A 0.34 0.296 0.567 1.673 1.659 0. 0.


















Problem 180 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 181 181 102 109 649 285 0 0
normalized size 1 1. 0.56 0.6 3.59 1.57 0. 0.
time (sec) N/A 0.431 0.504 0.576 1.678 1.78 0. 0.


















Problem 181 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 228 228 124 131 774 335 0 0
normalized size 1 1. 0.54 0.57 3.39 1.47 0. 0.
time (sec) N/A 0.505 0.653 0.639 1.751 1.86 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 159 503 0 540 0 0
normalized size 1 1. 0.58 1.84 0. 1.97 0. 0.
time (sec) N/A 0.709 1.872 0.561 0. 2.485 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 137 431 12710 478 0 0
normalized size 1 1. 0.6 1.9 55.99 2.11 0. 0.
time (sec) N/A 0.713 1.201 0.642 5.007 2.001 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 121 357 4146 414 0 0
normalized size 1 1. 0.67 1.98 23.03 2.3 0. 0.
time (sec) N/A 0.547 0.732 0.708 4.671 1.672 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 126 336 2808 432 0 0
normalized size 1 1. 0.71 1.89 15.78 2.43 0. 0.
time (sec) N/A 0.552 0.663 0.689 3.37 1.662 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 130 484 3200 436 0 0
normalized size 1 1. 0.75 2.8 18.5 2.52 0. 0.
time (sec) N/A 0.533 0.709 0.514 2.882 1.584 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 130 306 2090 424 0 0
normalized size 1 1. 0.76 1.78 12.15 2.47 0. 0.
time (sec) N/A 0.506 0.725 0.674 3.198 1.347 0. 0.


















Problem 188 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 181 181 104 111 535 297 0 0
normalized size 1 1. 0.57 0.61 2.96 1.64 0. 0.
time (sec) N/A 0.552 0.6 0.601 2.005 1.269 0. 0.


















Problem 189 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 228 228 126 133 720 351 0 0
normalized size 1 1. 0.55 0.58 3.16 1.54 0. 0.
time (sec) N/A 0.703 0.829 0.621 2.452 1.192 0. 0.


















Problem 190 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 275 275 147 155 845 414 0 0
normalized size 1 1. 0.53 0.56 3.07 1.51 0. 0.
time (sec) N/A 0.714 0.959 0.635 2.359 1.126 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 348 346 0 516 0 0
normalized size 1 1. 1.83 1.82 0. 2.72 0. 0.
time (sec) N/A 0.595 1.826 0.73 0. 20.854 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 222 216 0 466 0 0
normalized size 1 1. 1.57 1.53 0. 3.3 0. 0.
time (sec) N/A 0.397 1.217 0.62 0. 10.981 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 82 149 0 278 0 0
normalized size 1 1. 0.82 1.49 0. 2.78 0. 0.
time (sec) N/A 0.242 0.138 0.749 0. 8.538 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 99 99 203 230 0 396 0 0
normalized size 1 1. 2.05 2.32 0. 4. 0. 0.
time (sec) N/A 0.192 1.521 0.593 0. 1.287 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 627 383 0 447 0 0
normalized size 1 1. 4.42 2.7 0. 3.15 0. 0.
time (sec) N/A 0.336 6.755 0.609 0. 1.372 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 1728 519 0 491 0 0
normalized size 1 1. 9.24 2.78 0. 2.63 0. 0.
time (sec) N/A 0.609 7.916 0.68 0. 1.304 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 362 379 0 644 0 0
normalized size 1 1. 1.84 1.92 0. 3.27 0. 0.
time (sec) N/A 0.636 2.101 0.602 0. 40.727 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 226 298 0 571 0 0
normalized size 1 1. 1.56 2.06 0. 3.94 0. 0.
time (sec) N/A 0.403 1.825 0.579 0. 34.571 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 212 247 0 447 0 0
normalized size 1 1. 1.98 2.31 0. 4.18 0. 0.
time (sec) N/A 0.216 1.115 0.55 0. 1.64 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 423 299 0 531 0 0
normalized size 1 1. 2.71 1.92 0. 3.4 0. 0.
time (sec) N/A 0.384 3.684 0.577 0. 1.746 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 1054 443 0 586 0 0
normalized size 1 1. 5.19 2.18 0. 2.89 0. 0.
time (sec) N/A 0.555 6.8 0.623 0. 1.726 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 376 647 0 830 0 0
normalized size 1 1. 1.53 2.63 0. 3.37 0. 0.
time (sec) N/A 0.837 3.306 0.632 0. 98.471 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 246 515 0 736 0 0
normalized size 1 1. 1.27 2.65 0. 3.79 0. 0.
time (sec) N/A 0.582 2.03 0.593 0. 69.35 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 198 413 0 571 0 0
normalized size 1 1. 1.29 2.68 0. 3.71 0. 0.
time (sec) N/A 0.377 1.406 0.563 0. 1.375 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 200 413 0 578 0 0
normalized size 1 1. 1.28 2.65 0. 3.71 0. 0.
time (sec) N/A 0.439 1.369 0.561 0. 1.387 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 217 443 0 666 0 0
normalized size 1 1. 1.07 2.18 0. 3.28 0. 0.
time (sec) N/A 0.567 2.574 0.632 0. 1.404 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 239 571 0 728 0 0
normalized size 1 1. 0.96 2.28 0. 2.91 0. 0.
time (sec) N/A 0.752 3.333 0.527 0. 1.443 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 396 887 0 1018 0 0
normalized size 1 1. 1.35 3.03 0. 3.47 0. 0.
time (sec) N/A 1.044 5.517 0.665 0. 141.259 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 266 703 0 905 0 0
normalized size 1 1. 1.1 2.92 0. 3.76 0. 0.
time (sec) N/A 0.765 3.04 0.635 0. 98.454 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 217 549 0 702 0 0
normalized size 1 1. 1.08 2.73 0. 3.49 0. 0.
time (sec) N/A 0.587 2.249 0.649 0. 1.72 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 215 549 0 705 0 0
normalized size 1 1. 1.07 2.73 0. 3.51 0. 0.
time (sec) N/A 0.579 1.992 0.62 0. 1.66 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 216 549 0 716 0 0
normalized size 1 1. 1.06 2.7 0. 3.53 0. 0.
time (sec) N/A 0.591 2.012 0.606 0. 1.686 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 240 581 0 810 0 0
normalized size 1 1. 0.96 2.32 0. 3.24 0. 0.
time (sec) N/A 0.804 2.73 0.625 0. 1.733 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 262 715 0 878 0 0
normalized size 1 1. 0.88 2.41 0. 2.96 0. 0.
time (sec) N/A 1.032 5.105 0.484 0. 1.888 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 91 107 136 205 252 120
normalized size 1 1. 0.87 1.02 1.3 1.95 2.4 1.14
time (sec) N/A 0.17 0.22 0.042 0.998 1.394 1.305 1.435


















Problem 216 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 75 85 107 149 168 92
normalized size 1 1. 0.89 1.01 1.27 1.77 2. 1.1
time (sec) N/A 0.09 0.152 0.037 1.117 1.365 0.669 1.327


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 51 57 74 104 94 61
normalized size 1 1. 0.98 1.1 1.42 2. 1.81 1.17
time (sec) N/A 0.023 0.084 0.038 1.01 1.356 0.316 1.366


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 46 56 63 142 0 107
normalized size 1 1. 1.31 1.6 1.8 4.06 0. 3.06
time (sec) N/A 0.105 0.027 0.06 1.099 1.434 0. 1.592


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 43 65 99 225 0 113
normalized size 1 1. 1.23 1.86 2.83 6.43 0. 3.23
time (sec) N/A 0.114 0.014 0.07 1.1 1.509 0. 1.283


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 75 86 128 247 0 204
normalized size 1 1. 1.23 1.41 2.1 4.05 0. 3.34
time (sec) N/A 0.148 0.022 0.1 0.98 1.506 0. 1.443


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 67 128 171 298 0 284
normalized size 1 1. 0.72 1.38 1.84 3.2 0. 3.05
time (sec) N/A 0.163 0.264 0.073 1.034 1.41 0. 1.357


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 85 171 220 352 0 410
normalized size 1 1. 0.75 1.5 1.93 3.09 0. 3.6
time (sec) N/A 0.179 0.584 0.076 1.09 1.417 0. 1.362


















Problem 223 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 189 189 146 184 238 350 459 211
normalized size 1 1. 0.77 0.97 1.26 1.85 2.43 1.12
time (sec) N/A 0.311 0.457 0.043 1.098 1.403 3.445 1.435


















Problem 224 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 170 170 118 152 192 274 338 167
normalized size 1 1. 0.69 0.89 1.13 1.61 1.99 0.98
time (sec) N/A 0.234 0.431 0.047 1.093 1.428 1.751 1.561


















Problem 225 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 107 107 90 114 146 201 199 126
normalized size 1 1. 0.84 1.07 1.36 1.88 1.86 1.18
time (sec) N/A 0.094 0.213 0.039 1.041 1.338 0.84 1.385


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 120 120 124 213 0 240
normalized size 1 1. 1.4 1.4 1.44 2.48 0. 2.79
time (sec) N/A 0.176 0.222 0.07 1.044 1.542 0. 1.297


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 109 104 139 294 0 205
normalized size 1 1. 1.82 1.73 2.32 4.9 0. 3.42
time (sec) N/A 0.169 0.473 0.071 0.969 1.405 0. 1.52


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 67 133 189 335 0 257
normalized size 1 1. 0.84 1.66 2.36 4.19 0. 3.21
time (sec) N/A 0.2 0.266 0.088 1.037 1.413 0. 1.599


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 92 174 232 371 0 397
normalized size 1 1. 0.79 1.5 2. 3.2 0. 3.42
time (sec) N/A 0.27 0.451 0.083 1.058 1.459 0. 1.497


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 120 241 308 443 0 645
normalized size 1 1. 0.77 1.54 1.97 2.84 0. 4.13
time (sec) N/A 0.293 0.694 0.084 1.107 1.47 0. 1.498


















Problem 231 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 269 269 289 270 359 517 721 311
normalized size 1 1. 1.07 1. 1.33 1.92 2.68 1.16
time (sec) N/A 0.507 0.653 0.052 1. 1.589 7.03 1.305


















Problem 232 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 243 243 176 227 293 423 551 254
normalized size 1 1. 0.72 0.93 1.21 1.74 2.27 1.05
time (sec) N/A 0.333 0.671 0.125 1.118 1.527 3.852 1.341


















Problem 233 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 171 171 140 180 231 321 386 200
normalized size 1 1. 0.82 1.05 1.35 1.88 2.26 1.17
time (sec) N/A 0.197 0.382 0.045 1.163 1.347 1.761 1.366


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 159 207 196 317 0 424
normalized size 1 1. 1.16 1.51 1.43 2.31 0. 3.09
time (sec) N/A 0.324 0.37 0.077 1.134 1.469 0. 1.602


















Problem 235 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 131 131 217 168 194 369 0 316
normalized size 1 1. 1.66 1.28 1.48 2.82 0. 2.41
time (sec) N/A 0.332 0.65 0.075 1.167 1.564 0. 1.546


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 277 172 228 401 0 323
normalized size 1 1. 2.23 1.39 1.84 3.23 0. 2.6
time (sec) N/A 0.339 2.035 0.085 1.144 1.464 0. 1.706


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 108 223 292 458 0 454
normalized size 1 1. 0.74 1.54 2.01 3.16 0. 3.13
time (sec) N/A 0.346 0.566 0.086 1.154 1.504 0. 1.486


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 140 290 369 510 0 791
normalized size 1 1. 0.74 1.54 1.96 2.71 0. 4.21
time (sec) N/A 0.458 0.803 0.098 1.149 1.577 0. 1.367


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 181 382 460 612 0 975
normalized size 1 1. 0.77 1.62 1.95 2.59 0. 4.13
time (sec) N/A 0.489 3.213 0.092 1.116 1.529 0. 1.524


















Problem 240 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 366 366 408 368 494 717 1017 423
normalized size 1 1. 1.11 1.01 1.35 1.96 2.78 1.16
time (sec) N/A 0.838 0.864 0.047 1.171 1.699 11.88 1.467


















Problem 241 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 325 325 333 316 414 587 811 355
normalized size 1 1. 1.02 0.97 1.27 1.81 2.5 1.09
time (sec) N/A 0.509 1.055 0.084 1.046 1.573 6.869 1.719


















Problem 242 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 241 241 263 258 332 478 580 286
normalized size 1 1. 1.09 1.07 1.38 1.98 2.41 1.19
time (sec) N/A 0.338 0.62 0.04 1.153 1.521 3.673 1.427


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 210 319 281 447 0 814
normalized size 1 1. 1.05 1.6 1.4 2.23 0. 4.07
time (sec) N/A 0.547 0.58 0.076 1.125 1.548 0. 1.54


















Problem 244 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 195 195 257 255 266 471 0 501
normalized size 1 1. 1.32 1.31 1.36 2.42 0. 2.57
time (sec) N/A 0.57 1.019 0.084 1.129 1.602 0. 1.528


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 310 236 282 479 0 710
normalized size 1 1. 1.48 1.13 1.35 2.29 0. 3.4
time (sec) N/A 0.615 2.384 0.092 1.09 1.529 0. 1.557


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 415 262 331 524 0 522
normalized size 1 1. 2.1 1.32 1.67 2.65 0. 2.64
time (sec) N/A 0.58 5.963 0.102 1.162 1.545 0. 1.618


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 160 338 428 603 0 857
normalized size 1 1. 0.74 1.56 1.98 2.79 0. 3.97
time (sec) N/A 0.597 1.014 0.098 1.133 1.542 0. 1.862


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 198 431 521 687 0 1148
normalized size 1 1. 0.74 1.61 1.95 2.57 0. 4.3
time (sec) N/A 0.723 4.151 0.116 1.053 1.576 0. 1.702


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 324 324 244 550 640 797 0 1601
normalized size 1 1. 0.75 1.7 1.98 2.46 0. 4.94
time (sec) N/A 0.802 2.642 0.098 1.026 1.671 0. 1.7


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 152 641 0 1164 0 486
normalized size 1 1. 0.85 3.6 0. 6.54 0. 2.73
time (sec) N/A 0.493 0.435 0.115 0. 1.823 0. 1.545


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 121 367 0 918 0 306
normalized size 1 1. 0.9 2.74 0. 6.85 0. 2.28
time (sec) N/A 0.287 0.289 0.109 0. 1.894 0. 1.337


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 85 172 0 689 0 192
normalized size 1 1. 0.96 1.93 0. 7.74 0. 2.16
time (sec) N/A 0.174 0.195 0.116 0. 1.862 0. 1.295


















Problem 253 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 67 67 68 113 0 524 524 136
normalized size 1 1. 1.01 1.69 0. 7.82 7.82 2.03
time (sec) N/A 0.078 0.112 0.098 0. 1.824 127.075 1.58


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 112 135 0 689 0 171
normalized size 1 1. 1.47 1.78 0. 9.07 0. 2.25
time (sec) N/A 0.115 0.155 0.151 0. 4.658 0. 1.485


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 129 228 0 1049 0 236
normalized size 1 1. 1.3 2.3 0. 10.6 0. 2.38
time (sec) N/A 0.183 0.518 0.181 0. 1.877 0. 1.364


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 300 410 0 1334 0 363
normalized size 1 1. 2.1 2.87 0. 9.33 0. 2.54
time (sec) N/A 0.49 1.594 0.151 0. 22.09 0. 1.648


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 422 688 0 1634 0 556
normalized size 1 1. 2.26 3.68 0. 8.74 0. 2.97
time (sec) N/A 0.77 2.072 0.175 0. 5.02 0. 1.732


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 184 643 0 2120 0 456
normalized size 1 1. 0.7 2.44 0. 8.06 0. 1.73
time (sec) N/A 0.659 0.983 0.145 0. 1.594 0. 1.629


















Problem 259 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 155 155 147 445 0 1701 0 502
normalized size 1 1. 0.95 2.87 0. 10.97 0. 3.24
time (sec) N/A 0.44 0.782 0.125 0. 1.433 0. 1.307


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 119 320 0 1210 0 269
normalized size 1 1. 0.98 2.62 0. 9.92 0. 2.2
time (sec) N/A 0.241 0.528 0.131 0. 1.291 0. 1.6


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 97 234 0 846 0 215
normalized size 1 1. 0.97 2.34 0. 8.46 0. 2.15
time (sec) N/A 0.089 0.317 0.103 0. 1.288 0. 1.293


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 191 342 0 1534 0 301
normalized size 1 1. 1.44 2.57 0. 11.53 0. 2.26
time (sec) N/A 0.282 0.59 0.158 0. 24.139 0. 1.268


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 240 502 0 2419 0 545
normalized size 1 1. 1.27 2.66 0. 12.8 0. 2.88
time (sec) N/A 0.673 1.719 0.174 0. 69.443 0. 1.405


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 438 690 0 2952 0 510
normalized size 1 1. 1.62 2.56 0. 10.93 0. 1.89
time (sec) N/A 0.975 6.246 0.198 0. 109.609 0. 1.516


















Problem 265 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 398 398 734 1504 0 4001 0 1821
normalized size 1 1. 1.84 3.78 0. 10.05 0. 4.58
time (sec) N/A 1.724 3.293 0.132 0. 2.166 0. 1.657


















Problem 266 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 280 280 232 1301 0 3380 0 733
normalized size 1 1. 0.83 4.65 0. 12.07 0. 2.62
time (sec) N/A 1.222 2.059 0.169 0. 1.964 0. 1.703


















Problem 267 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 211 211 204 1023 0 2462 0 614
normalized size 1 1. 0.97 4.85 0. 11.67 0. 2.91
time (sec) N/A 0.564 1.308 0.125 0. 1.733 0. 1.647


















Problem 268 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 180 180 172 886 0 1616 0 528
normalized size 1 1. 0.96 4.92 0. 8.98 0. 2.93
time (sec) N/A 0.29 0.784 0.108 0. 1.398 0. 1.585


















Problem 269 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 164 164 157 886 0 1616 0 527
normalized size 1 1. 0.96 5.4 0. 9.85 0. 3.21
time (sec) N/A 0.188 0.607 0.116 0. 1.443 0. 1.61


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 269 1045 0 3032 0 649
normalized size 1 1. 1.26 4.88 0. 14.17 0. 3.03
time (sec) N/A 0.706 1.24 0.173 0. 128.467 0. 1.502


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 352 1358 0 0 0 775
normalized size 1 1. 1.18 4.54 0. 0. 0. 2.59
time (sec) N/A 1.764 5.527 0.187 0. 0. 0. 1.599


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 402 402 507 1551 0 0 0 1883
normalized size 1 1. 1.26 3.86 0. 0. 0. 4.68
time (sec) N/A 2.236 2.709 0.206 0. 0. 0. 1.602


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 409 409 1278 2787 0 5723 0 1304
normalized size 1 1. 3.12 6.81 0. 13.99 0. 3.19
time (sec) N/A 5.175 6.612 0.141 0. 4.17 0. 1.491


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 717 2158 0 4095 0 1098
normalized size 1 1. 2.38 7.17 0. 13.6 0. 3.65
time (sec) N/A 1.207 3.131 0.13 0. 2.567 0. 1.721


















Problem 275 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 274 274 251 1726 0 2692 0 930
normalized size 1 1. 0.92 6.3 0. 9.82 0. 3.39
time (sec) N/A 0.636 1.195 0.142 0. 2.215 0. 1.612


















Problem 276 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 263 263 252 1883 0 2700 0 975
normalized size 1 1. 0.96 7.16 0. 10.27 0. 3.71
time (sec) N/A 0.53 1.052 0.138 0. 2.154 0. 1.643


















Problem 277 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 237 237 227 1727 0 2692 0 933
normalized size 1 1. 0.96 7.29 0. 11.36 0. 3.94
time (sec) N/A 0.478 2.158 0.118 0. 2.19 0. 1.562


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 368 2180 0 0 0 1130
normalized size 1 1. 1.22 7.24 0. 0. 0. 3.75
time (sec) N/A 1.509 1.604 0.187 0. 0. 0. 1.893


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 420 549 2844 0 0 0 1345
normalized size 1 1. 1.31 6.77 0. 0. 0. 3.2
time (sec) N/A 6.221 3.022 0.194 0. 0. 0. 1.715


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 547 547 781 3042 0 0 0 1472
normalized size 1 1. 1.43 5.56 0. 0. 0. 2.69
time (sec) N/A 7.304 4.937 0.219 0. 0. 0. 1.781


















Problem 281 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 28 28 28 23 0 61 56 34
normalized size 1 1. 1. 0.82 0. 2.18 2. 1.21
time (sec) N/A 0.016 0.008 0.051 0. 1.798 1.641 1.473


















Problem 282 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 27 27 24 28 0 61 68 45
normalized size 1 1. 0.89 1.04 0. 2.26 2.52 1.67
time (sec) N/A 0.015 0.02 0.053 0. 1.503 1.141 1.573


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 23 12 0 24 31 15
normalized size 1 1. 2.09 1.09 0. 2.18 2.82 1.36
time (sec) N/A 0.009 0.007 0.046 0. 1.404 0.747 1.398


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 3 3 3 4 0 7 2 14
normalized size 1 1. 1. 1.33 0. 2.33 0.67 4.67
time (sec) N/A 0.001 0. 0.025 0. 1.167 0.159 1.321


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 20 0 81 39 63
normalized size 1 1. 1. 1.67 0. 6.75 3.25 5.25
time (sec) N/A 0.007 0.003 0.056 0. 1.419 4.503 1.478


















Problem 286 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 11 11 11 12 0 45 32 15
normalized size 1 1. 1. 1.09 0. 4.09 2.91 1.36
time (sec) N/A 0.012 0.004 0.056 0. 1.314 8.563 1.535


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 40 0 170 0 70
normalized size 1 1. 1. 1.11 0. 4.72 0. 1.94
time (sec) N/A 0.02 0.008 0.066 0. 1.545 0. 1.604


















Problem 288 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 28 28 24 25 0 84 42 34
normalized size 1 1. 0.86 0.89 0. 3. 1.5 1.21
time (sec) N/A 0.016 0.037 0.063 0. 1.361 114.743 1.564


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 98 229 0 759 0 250
normalized size 1 1. 0.86 2.01 0. 6.66 0. 2.19
time (sec) N/A 0.217 0.229 0.122 0. 1.606 0. 1.467


















Problem 290 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 79 79 73 105 0 612 0 173
normalized size 1 1. 0.92 1.33 0. 7.75 0. 2.19
time (sec) N/A 0.132 0.134 0.135 0. 1.576 0. 1.487


















Problem 291 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 61 61 59 69 0 505 0 130
normalized size 1 1. 0.97 1.13 0. 8.28 0. 2.13
time (sec) N/A 0.067 0.073 0.119 0. 1.566 0. 1.282


















Problem 292 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 50 50 49 45 0 409 0 105
normalized size 1 1. 0.98 0.9 0. 8.18 0. 2.1
time (sec) N/A 0.035 0.036 0.102 0. 1.511 0. 1.397


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 103 91 0 670 0 165
normalized size 1 1. 1.47 1.3 0. 9.57 0. 2.36
time (sec) N/A 0.081 0.077 0.119 0. 1.948 0. 1.418


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 116 139 0 925 0 209
normalized size 1 1. 1.32 1.58 0. 10.51 0. 2.38
time (sec) N/A 0.145 0.351 0.138 0. 1.995 0. 1.54


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 239 273 0 1121 0 298
normalized size 1 1. 1.94 2.22 0. 9.11 0. 2.42
time (sec) N/A 0.346 0.963 0.154 0. 2.776 0. 1.566


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 386 386 292 1635 0 0 0 0
normalized size 1 1. 0.76 4.24 0. 0. 0. 0.
time (sec) N/A 0.785 1.48 4.869 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 232 1305 0 0 0 0
normalized size 1 1. 0.77 4.31 0. 0. 0. 0.
time (sec) N/A 0.542 0.946 4.021 0. 0. 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 179 993 0 0 0 0
normalized size 1 1. 0.77 4.3 0. 0. 0. 0.
time (sec) N/A 0.408 0.824 4.45 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 146 600 0 0 0 0
normalized size 1 1. 0.85 3.51 0. 0. 0. 0.
time (sec) N/A 0.22 0.575 4.319 0. 0. 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 107 247 0 0 0 0
normalized size 1 1. 0.6 1.39 0. 0. 0. 0.
time (sec) N/A 0.36 2.376 4.004 0. 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 372 746 0 0 0 0
normalized size 1 1. 1.75 3.5 0. 0. 0. 0.
time (sec) N/A 0.607 10.245 6.549 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 420 1290 0 0 0 0
normalized size 1 1. 1.44 4.42 0. 0. 0. 0.
time (sec) N/A 0.955 4.126 7.812 0. 0. 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 378 378 635 2213 0 0 0 0
normalized size 1 1. 1.68 5.85 0. 0. 0. 0.
time (sec) N/A 1.339 6.509 11.474 0. 0. 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 378 378 291 1635 0 0 0 0
normalized size 1 1. 0.77 4.33 0. 0. 0. 0.
time (sec) N/A 0.733 1.445 4.509 0. 0. 0. 0.


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 233 1305 0 0 0 0
normalized size 1 1. 0.78 4.39 0. 0. 0. 0.
time (sec) N/A 0.528 1.009 4.073 0. 0. 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 203 993 0 0 0 0
normalized size 1 1. 0.9 4.41 0. 0. 0. 0.
time (sec) N/A 0.352 0.734 4.003 0. 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 406 738 0 0 0 0
normalized size 1 1. 1.72 3.13 0. 0. 0. 0.
time (sec) N/A 0.708 2.445 4.046 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 398 1167 0 0 0 0
normalized size 1 1. 1.72 5.03 0. 0. 0. 0.
time (sec) N/A 0.686 2.445 4.417 0. 0. 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 422 1403 0 0 0 0
normalized size 1 1. 1.43 4.76 0. 0. 0. 0.
time (sec) N/A 1.058 4.795 9.067 0. 0. 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 375 634 2327 0 0 0 0
normalized size 1 1. 1.69 6.21 0. 0. 0. 0.
time (sec) N/A 1.45 6.591 12.028 0. 0. 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 462 462 357 1983 0 0 0 0
normalized size 1 1. 0.77 4.29 0. 0. 0. 0.
time (sec) N/A 0.931 1.986 4.483 0. 0. 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 372 291 1635 0 0 0 0
normalized size 1 1. 0.78 4.4 0. 0. 0. 0.
time (sec) N/A 0.796 1.482 4.468 0. 0. 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 254 1305 0 0 0 0
normalized size 1 1. 0.88 4.53 0. 0. 0. 0.
time (sec) N/A 0.516 1.017 4.409 0. 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 453 1067 0 0 0 0
normalized size 1 1. 1.55 3.65 0. 0. 0. 0.
time (sec) N/A 1.014 2.801 4.432 0. 0. 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 442 1563 0 0 0 0
normalized size 1 1. 1.49 5.28 0. 0. 0. 0.
time (sec) N/A 1.109 3.796 4.425 0. 0. 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 451 1742 0 0 0 0
normalized size 1 1. 1.43 5.53 0. 0. 0. 0.
time (sec) N/A 1.055 5.636 9.44 0. 0. 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 486 2438 0 0 0 0
normalized size 1 1. 1.29 6.48 0. 0. 0. 0.
time (sec) N/A 1.433 5.808 12.175 0. 0. 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 465 465 729 3548 0 0 0 0
normalized size 1 1. 1.57 7.63 0. 0. 0. 0.
time (sec) N/A 1.845 6.721 16.885 0. 0. 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 230 1305 0 0 0 0
normalized size 1 1. 0.72 4.08 0. 0. 0. 0.
time (sec) N/A 0.619 1.015 4.258 0. 0. 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 180 993 0 0 0 0
normalized size 1 1. 0.73 4.04 0. 0. 0. 0.
time (sec) N/A 0.43 0.891 3.907 0. 0. 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 154 671 0 0 0 0
normalized size 1 1. 0.84 3.67 0. 0. 0. 0.
time (sec) N/A 0.292 0.656 4.369 0. 0. 0. 0.


















Problem 322 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 130 130 93 249 0 0 0 0
normalized size 1 1. 0.72 1.92 0. 0. 0. 0.
time (sec) N/A 0.126 3.121 3.184 0. 0. 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 81 194 0 0 0 0
normalized size 1 1. 0.69 1.64 0. 0. 0. 0.
time (sec) N/A 0.313 0.183 3.668 0. 0. 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 320 639 0 0 0 0
normalized size 1 1. 1.48 2.96 0. 0. 0. 0.
time (sec) N/A 0.655 6.366 5.221 0. 0. 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 420 1182 0 0 0 0
normalized size 1 1. 1.4 3.95 0. 0. 0. 0.
time (sec) N/A 0.955 5.753 7.652 0. 0. 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 387 304 1308 0 0 0 0
normalized size 1 1. 0.79 3.38 0. 0. 0. 0.
time (sec) N/A 0.727 1.716 12.509 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 189 954 0 0 0 0
normalized size 1 1. 0.72 3.64 0. 0. 0. 0.
time (sec) N/A 0.486 1.386 10.478 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 170 515 0 0 0 0
normalized size 1 1. 0.83 2.52 0. 0. 0. 0.
time (sec) N/A 0.332 0.788 7.861 0. 0. 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 151 428 0 0 0 0
normalized size 1 1. 0.82 2.31 0. 0. 0. 0.
time (sec) N/A 0.231 0.541 7.684 0. 0. 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 460 429 0 0 0 0
normalized size 1 1. 2.42 2.26 0. 0. 0. 0.
time (sec) N/A 0.508 3.787 7.651 0. 0. 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 482 908 0 0 0 0
normalized size 1 1. 1.59 3. 0. 0. 0. 0.
time (sec) N/A 0.991 5.469 10.223 0. 0. 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 398 398 678 1564 0 0 0 0
normalized size 1 1. 1.7 3.93 0. 0. 0. 0.
time (sec) N/A 1.431 6.841 12.836 0. 0. 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 550 550 372 1746 0 0 0 0
normalized size 1 1. 0.68 3.17 0. 0. 0. 0.
time (sec) N/A 1.187 3.899 21.393 0. 0. 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 413 413 334 1389 0 0 0 0
normalized size 1 1. 0.81 3.36 0. 0. 0. 0.
time (sec) N/A 0.805 2.739 19.001 0. 0. 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 274 950 0 0 0 0
normalized size 1 1. 0.83 2.87 0. 0. 0. 0.
time (sec) N/A 0.553 2.161 15.549 0. 0. 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 307 307 224 860 0 0 0 0
normalized size 1 1. 0.73 2.8 0. 0. 0. 0.
time (sec) N/A 0.472 1.859 14.194 0. 0. 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 193 750 0 0 0 0
normalized size 1 1. 0.7 2.73 0. 0. 0. 0.
time (sec) N/A 0.373 1.523 13.244 0. 0. 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 349 349 743 854 0 0 0 0
normalized size 1 1. 2.13 2.45 0. 0. 0. 0.
time (sec) N/A 1.099 6.728 14.143 0. 0. 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 437 437 750 1341 0 0 0 0
normalized size 1 1. 1.72 3.07 0. 0. 0. 0.
time (sec) N/A 1.481 7.093 18.753 0. 0. 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 532 532 820 2000 0 0 0 0
normalized size 1 1. 1.54 3.76 0. 0. 0. 0.
time (sec) N/A 1.934 7.743 23.7 0. 0. 0. 0.


















Problem 341 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 58 58 58 76 0 0 0 0
normalized size 1 1. 1. 1.31 0. 0. 0. 0.
time (sec) N/A 0.045 0.048 0.404 0. 0. 0. 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 167 0 0 0 0
normalized size 1 1. 1. 2.83 0. 0. 0. 0.
time (sec) N/A 0.146 0.071 3.125 0. 0. 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 84 218 0 0 0 0
normalized size 1 1. 0.78 2.02 0. 0. 0. 0.
time (sec) N/A 0.082 0.208 3.993 0. 0. 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 403 377 0 0 0 0
normalized size 1 1. 2.25 2.11 0. 0. 0. 0.
time (sec) N/A 0.424 4.804 4.299 0. 0. 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 125 451 0 0 0 0
normalized size 1 1. 0.74 2.65 0. 0. 0. 0.
time (sec) N/A 0.207 1.267 3.349 0. 0. 0. 0.


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 103 413 0 0 0 0
normalized size 1 1. 0.74 2.95 0. 0. 0. 0.
time (sec) N/A 0.184 0.823 3.103 0. 0. 0. 0.


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 86 371 0 0 0 0
normalized size 1 1. 0.8 3.44 0. 0. 0. 0.
time (sec) N/A 0.168 0.384 3.474 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 67 326 0 0 0 0
normalized size 1 1. 0.89 4.35 0. 0. 0. 0.
time (sec) N/A 0.146 0.213 3.522 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 64 244 0 0 0 0
normalized size 1 1. 0.9 3.44 0. 0. 0. 0.
time (sec) N/A 0.154 0.329 3.262 0. 0. 0. 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 107 428 0 0 0 0
normalized size 1 1. 1.04 4.16 0. 0. 0. 0.
time (sec) N/A 0.17 0.446 7.556 0. 0. 0. 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 134 663 0 0 0 0
normalized size 1 1. 0.96 4.74 0. 0. 0. 0.
time (sec) N/A 0.188 0.772 9.989 0. 0. 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 196 666 0 0 0 0
normalized size 1 1. 0.74 2.52 0. 0. 0. 0.
time (sec) N/A 0.381 1.711 3.161 0. 0. 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 167 610 0 0 0 0
normalized size 1 1. 0.75 2.74 0. 0. 0. 0.
time (sec) N/A 0.33 1.371 3.724 0. 0. 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 139 548 0 0 0 0
normalized size 1 1. 0.76 3.01 0. 0. 0. 0.
time (sec) N/A 0.316 1.068 3.138 0. 0. 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 106 487 0 0 0 0
normalized size 1 1. 0.76 3.48 0. 0. 0. 0.
time (sec) N/A 0.266 0.575 3.194 0. 0. 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 102 404 0 0 0 0
normalized size 1 1. 0.84 3.34 0. 0. 0. 0.
time (sec) N/A 0.246 0.605 3.398 0. 0. 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 105 677 0 0 0 0
normalized size 1 1. 0.83 5.37 0. 0. 0. 0.
time (sec) N/A 0.305 1.119 7.309 0. 0. 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 175 750 0 0 0 0
normalized size 1 1. 1.02 4.36 0. 0. 0. 0.
time (sec) N/A 0.351 1.056 10.05 0. 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 235 825 0 0 0 0
normalized size 1 1. 0.77 2.7 0. 0. 0. 0.
time (sec) N/A 0.545 1.905 3.362 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 197 745 0 0 0 0
normalized size 1 1. 0.77 2.92 0. 0. 0. 0.
time (sec) N/A 0.496 1.152 3.348 0. 0. 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 158 664 0 0 0 0
normalized size 1 1. 0.77 3.24 0. 0. 0. 0.
time (sec) N/A 0.478 1.268 3.418 0. 0. 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 150 867 0 0 0 0
normalized size 1 1. 0.74 4.29 0. 0. 0. 0.
time (sec) N/A 0.464 1.085 3.497 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 165 1212 0 0 0 0
normalized size 1 1. 0.86 6.31 0. 0. 0. 0.
time (sec) N/A 0.465 1.033 9.1 0. 0. 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 176 997 0 0 0 0
normalized size 1 1. 0.86 4.89 0. 0. 0. 0.
time (sec) N/A 0.482 2.082 10.698 0. 0. 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 264 1074 0 0 0 0
normalized size 1 1. 1.45 5.9 0. 0. 0. 0.
time (sec) N/A 0.82 2.372 4.116 0. 0. 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 209 786 0 0 0 0
normalized size 1 1. 1.53 5.74 0. 0. 0. 0.
time (sec) N/A 0.513 1.414 3.556 0. 0. 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 131 295 0 0 0 0
normalized size 1 1. 1.47 3.31 0. 0. 0. 0.
time (sec) N/A 0.21 0.863 3.138 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 58 217 0 0 0 0
normalized size 1 1. 0.95 3.56 0. 0. 0. 0.
time (sec) N/A 0.144 0.211 3.542 0. 0. 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 210 327 0 0 0 0
normalized size 1 1. 2.44 3.8 0. 0. 0. 0.
time (sec) N/A 0.309 2.406 6.233 0. 0. 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 262 468 0 0 0 0
normalized size 1 1. 1.75 3.12 0. 0. 0. 0.
time (sec) N/A 0.77 2.21 9.544 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 322 1066 0 0 0 0
normalized size 1 1. 1.06 3.52 0. 0. 0. 0.
time (sec) N/A 0.933 3.068 11.879 0. 0. 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 284 849 0 0 0 0
normalized size 1 1. 1.27 3.79 0. 0. 0. 0.
time (sec) N/A 0.627 2.59 9.332 0. 0. 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 262 808 0 0 0 0
normalized size 1 1. 1.32 4.08 0. 0. 0. 0.
time (sec) N/A 0.54 2.296 8.609 0. 0. 0. 0.


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 276 721 0 0 0 0
normalized size 1 1. 1.38 3.6 0. 0. 0. 0.
time (sec) N/A 0.618 2.556 7.84 0. 0. 0. 0.


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 320 883 0 0 0 0
normalized size 1 1. 1.25 3.45 0. 0. 0. 0.
time (sec) N/A 0.923 3.962 10.801 0. 0. 0. 0.


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 367 1031 0 0 0 0
normalized size 1 1. 1.06 2.99 0. 0. 0. 0.
time (sec) N/A 1.292 6.316 16.085 0. 0. 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 367 367 394 1977 0 0 0 0
normalized size 1 1. 1.07 5.39 0. 0. 0. 0.
time (sec) N/A 1.013 4.672 14.966 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 364 1937 0 0 0 0
normalized size 1 1. 1.06 5.63 0. 0. 0. 0.
time (sec) N/A 0.99 3.386 14.346 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 369 1850 0 0 0 0
normalized size 1 1. 1.09 5.49 0. 0. 0. 0.
time (sec) N/A 0.919 4.197 14.49 0. 0. 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 387 1744 0 0 0 0
normalized size 1 1. 1.12 5.06 0. 0. 0. 0.
time (sec) N/A 1.06 4.675 13.454 0. 0. 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 420 462 2002 0 0 0 0
normalized size 1 1. 1.1 4.77 0. 0. 0. 0.
time (sec) N/A 1.474 4.983 17.036 0. 0. 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 523 523 574 2158 0 0 0 0
normalized size 1 1. 1.1 4.13 0. 0. 0. 0.
time (sec) N/A 1.953 7.167 27.283 0. 0. 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 41 203 0 0 0 0
normalized size 1 1. 0.93 4.61 0. 0. 0. 0.
time (sec) N/A 0.025 0.047 3.126 0. 0. 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 37 180 0 0 0 0
normalized size 1 1. 0.84 4.09 0. 0. 0. 0.
time (sec) N/A 0.024 0.043 2.984 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 134 0 0 0 0
normalized size 1 1. 1. 7.88 0. 0. 0. 0.
time (sec) N/A 0.011 0.023 2.138 0. 0. 0. 0.


















Problem 386 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 17 17 17 19 0 0 0 0
normalized size 1 1. 1. 1.12 0. 0. 0. 0.
time (sec) N/A 0.011 0.027 0.037 0. 0. 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 102 0 0 0 0
normalized size 1 1. 1. 2.55 0. 0. 0. 0.
time (sec) N/A 0.022 0.059 3.253 0. 0. 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 37 214 0 0 0 0
normalized size 1 1. 0.84 4.86 0. 0. 0. 0.
time (sec) N/A 0.023 0.06 2.872 0. 0. 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 161 517 0 0 0 0
normalized size 1 1. 1.39 4.46 0. 0. 0. 0.
time (sec) N/A 0.403 1.57 3.52 0. 0. 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 85 228 0 0 0 0
normalized size 1 1. 1.09 2.92 0. 0. 0. 0.
time (sec) N/A 0.167 0.102 3.178 0. 0. 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 189 0 0 0 0
normalized size 1 1. 0.89 3.44 0. 0. 0. 0.
time (sec) N/A 0.103 0.051 3.593 0. 0. 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 151 0 0 0 0
normalized size 1 1. 1. 5.03 0. 0. 0. 0.
time (sec) N/A 0.049 0.065 2.624 0. 0. 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 200 355 0 0 0 0
normalized size 1 1. 2.5 4.44 0. 0. 0. 0.
time (sec) N/A 0.247 2.605 4.01 0. 0. 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 215 452 0 0 0 0
normalized size 1 1. 1.62 3.4 0. 0. 0. 0.
time (sec) N/A 0.56 4.069 8.419 0. 0. 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 560 560 1224 2949 0 0 0 0
normalized size 1 1. 2.19 5.27 0. 0. 0. 0.
time (sec) N/A 1.507 6.305 0.501 0. 0. 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 473 473 1175 2055 0 0 0 0
normalized size 1 1. 2.48 4.34 0. 0. 0. 0.
time (sec) N/A 1.042 21.019 0.417 0. 0. 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 385 385 3054 1693 0 0 0 0
normalized size 1 1. 7.93 4.4 0. 0. 0. 0.
time (sec) N/A 0.713 17.886 0.573 0. 0. 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 275 1687 0 0 0 0
normalized size 1 1. 0.78 4.81 0. 0. 0. 0.
time (sec) N/A 0.504 12.925 0.446 0. 0. 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 284 284 407 1729 0 0 0 0
normalized size 1 1. 1.43 6.09 0. 0. 0. 0.
time (sec) N/A 0.505 14.007 0.406 0. 0. 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 350 350 1315 2479 0 0 0 0
normalized size 1 1. 3.76 7.08 0. 0. 0. 0.
time (sec) N/A 0.825 6.342 0.474 0. 0. 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 433 1408 3427 0 0 0 0
normalized size 1 1. 3.25 7.91 0. 0. 0. 0.
time (sec) N/A 1.176 6.43 0.611 0. 0. 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 670 670 1284 4048 0 0 0 0
normalized size 1 1. 1.92 6.04 0. 0. 0. 0.
time (sec) N/A 2.096 6.392 0.616 0. 0. 0. 0.


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 566 566 1227 3139 0 0 0 0
normalized size 1 1. 2.17 5.55 0. 0. 0. 0.
time (sec) N/A 1.663 6.304 0.505 0. 0. 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 472 472 1198 2430 0 0 0 0
normalized size 1 1. 2.54 5.15 0. 0. 0. 0.
time (sec) N/A 1.147 6.331 0.585 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 449 449 1196 2185 0 0 0 0
normalized size 1 1. 2.66 4.87 0. 0. 0. 0.
time (sec) N/A 1.176 6.327 0.419 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 419 419 1236 2318 0 0 0 0
normalized size 1 1. 2.95 5.53 0. 0. 0. 0.
time (sec) N/A 0.858 6.344 0.41 0. 0. 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 353 1314 2666 0 0 0 0
normalized size 1 1. 3.72 7.55 0. 0. 0. 0.
time (sec) N/A 0.924 6.418 0.441 0. 0. 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 433 1407 3413 0 0 0 0
normalized size 1 1. 3.25 7.88 0. 0. 0. 0.
time (sec) N/A 1.346 6.502 0.565 0. 0. 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 522 522 1515 4391 0 0 0 0
normalized size 1 1. 2.9 8.41 0. 0. 0. 0.
time (sec) N/A 1.885 6.586 0.741 0. 0. 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 779 779 1353 5164 0 0 0 0
normalized size 1 1. 1.74 6.63 0. 0. 0. 0.
time (sec) N/A 3.083 6.507 0.894 0. 0. 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 664 664 1287 4238 0 0 0 0
normalized size 1 1. 1.94 6.38 0. 0. 0. 0.
time (sec) N/A 2.206 6.387 0.661 0. 0. 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 564 564 1251 3512 0 0 0 0
normalized size 1 1. 2.22 6.23 0. 0. 0. 0.
time (sec) N/A 1.698 6.478 0.68 0. 0. 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 547 547 1241 3270 0 0 0 0
normalized size 1 1. 2.27 5.98 0. 0. 0. 0.
time (sec) N/A 1.665 6.473 0.454 0. 0. 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 536 1269 3204 0 0 0 0
normalized size 1 1. 2.37 5.98 0. 0. 0. 0.
time (sec) N/A 1.669 6.471 0.475 0. 0. 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 493 493 1319 3274 0 0 0 0
normalized size 1 1. 2.68 6.64 0. 0. 0. 0.
time (sec) N/A 1.247 6.518 0.491 0. 0. 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 434 434 1409 3628 0 0 0 0
normalized size 1 1. 3.25 8.36 0. 0. 0. 0.
time (sec) N/A 1.372 6.58 0.563 0. 0. 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 522 522 1517 4392 0 0 0 0
normalized size 1 1. 2.91 8.41 0. 0. 0. 0.
time (sec) N/A 1.939 6.685 0.735 0. 0. 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 622 622 1640 5373 0 0 0 0
normalized size 1 1. 2.64 8.64 0. 0. 0. 0.
time (sec) N/A 2.625 6.802 0.94 0. 0. 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 418 1236 2346 0 0 0 0
normalized size 1 1. 2.96 5.61 0. 0. 0. 0.
time (sec) N/A 0.95 19.409 0.549 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 479 479 1175 1871 0 0 0 0
normalized size 1 1. 2.45 3.91 0. 0. 0. 0.
time (sec) N/A 1.076 12.376 0.479 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 4017 1005 0 0 0 0
normalized size 1 1. 9.41 2.35 0. 0. 0. 0.
time (sec) N/A 1.088 17.73 0.53 0. 0. 0. 0.


















Problem 422 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 228 228 146 197 0 0 0 0
normalized size 1 1. 0.64 0.86 0. 0. 0. 0.
time (sec) N/A 0.274 1.48 0.464 0. 0. 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 299 935 0 0 0 0
normalized size 1 1. 1.3 4.07 0. 0. 0. 0.
time (sec) N/A 0.316 12.864 0.388 0. 0. 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 290 290 416 1536 0 0 0 0
normalized size 1 1. 1.43 5.3 0. 0. 0. 0.
time (sec) N/A 0.524 16.293 0.397 0. 0. 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 363 363 1319 2480 0 0 0 0
normalized size 1 1. 3.63 6.83 0. 0. 0. 0.
time (sec) N/A 0.862 6.389 0.467 0. 0. 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 500 500 1234 2881 0 0 0 0
normalized size 1 1. 2.47 5.76 0. 0. 0. 0.
time (sec) N/A 1.287 6.397 0.427 0. 0. 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 1012 2013 0 0 0 0
normalized size 1 1. 2.43 4.84 0. 0. 0. 0.
time (sec) N/A 0.612 17.986 0.411 0. 0. 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 1223 1633 0 0 0 0
normalized size 1 1. 4.31 5.75 0. 0. 0. 0.
time (sec) N/A 0.512 6.36 0.475 0. 0. 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 1281 2280 0 0 0 0
normalized size 1 1. 4.2 7.48 0. 0. 0. 0.
time (sec) N/A 0.615 6.472 0.472 0. 0. 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 393 393 1357 3334 0 0 0 0
normalized size 1 1. 3.45 8.48 0. 0. 0. 0.
time (sec) N/A 0.98 6.644 0.498 0. 0. 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 674 674 1396 8611 0 0 0 0
normalized size 1 1. 2.07 12.78 0. 0. 0. 0.
time (sec) N/A 2.189 6.655 0.592 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 545 545 1342 5751 0 0 0 0
normalized size 1 1. 2.46 10.55 0. 0. 0. 0.
time (sec) N/A 1.402 6.491 0.521 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 1335 4237 0 0 0 0
normalized size 1 1. 3.41 10.84 0. 0. 0. 0.
time (sec) N/A 0.869 6.422 0.473 0. 0. 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 429 429 1384 5203 0 0 0 0
normalized size 1 1. 3.23 12.13 0. 0. 0. 0.
time (sec) N/A 0.985 6.525 0.856 0. 0. 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 456 456 1431 6498 0 0 0 0
normalized size 1 1. 3.14 14.25 0. 0. 0. 0.
time (sec) N/A 1.161 6.684 1.06 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 567 567 1499 8093 0 0 0 0
normalized size 1 1. 2.64 14.27 0. 0. 0. 0.
time (sec) N/A 1.877 6.921 0.74 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 419 419 480 623 0 0 0 0
normalized size 1 1. 1.15 1.49 0. 0. 0. 0.
time (sec) N/A 0.789 1.44 0.611 0. 0. 0. 0.


















Problem 438 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 117 117 133 160 0 0 0 0
normalized size 1 1. 1.14 1.37 0. 0. 0. 0.
time (sec) N/A 0.085 0.138 0.479 0. 0. 0. 0.


















Problem 439 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 110 110 171 124 0 0 0 0
normalized size 1 1. 1.55 1.13 0. 0. 0. 0.
time (sec) N/A 0.087 0.882 0.565 0. 0. 0. 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 212 613 0 0 0 0
normalized size 1 1. 0.94 2.71 0. 0. 0. 0.
time (sec) N/A 0.268 2.11 0.46 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 72 72 0 658 0 0 0 0
normalized size 1 1. 0. 9.14 0. 0. 0. 0.
time (sec) N/A 0.088 34.837 0.444 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 70 70 0 601 0 0 0 0
normalized size 1 1. 0. 8.59 0. 0. 0. 0.
time (sec) N/A 0.104 38.35 0.461 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 93 93 0 611 0 0 0 0
normalized size 1 1. 0. 6.57 0. 0. 0. 0.
time (sec) N/A 0.206 32.611 0.469 0. 0. 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 95 95 0 705 0 0 0 0
normalized size 1 1. 0. 7.42 0. 0. 0. 0.
time (sec) N/A 0.191 28.693 0.364 0. 0. 0. 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 72 72 0 665 0 0 0 0
normalized size 1 1. 0. 9.24 0. 0. 0. 0.
time (sec) N/A 0.083 37.742 0.448 0. 0. 0. 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 74 74 0 663 0 0 0 0
normalized size 1 1. 0. 8.96 0. 0. 0. 0.
time (sec) N/A 0.099 38.014 0.458 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 98 98 0 714 0 0 0 0
normalized size 1 1. 0. 7.29 0. 0. 0. 0.
time (sec) N/A 0.202 40.906 0.352 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 96 96 0 740 0 0 0 0
normalized size 1 1. 0. 7.71 0. 0. 0. 0.
time (sec) N/A 0.189 30.115 0.366 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 7.554 2.795 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 595 595 487 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 1.984 6.198 2.33 0. 0. 0. 0.


















Problem 451 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 406 406 269 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 1.053 2.906 1.981 0. 0. 0. 0.


















Problem 452 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 287 287 217 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.541 1.746 1.823 0. 0. 0. 0.


















Problem 453 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 196 196 151 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.246 0.325 1.793 0. 0. 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 286 286 10482 0 0 0 0 0
normalized size 1 1. 36.65 0. 0. 0. 0. 0.
time (sec) N/A 0.412 27.058 1.145 0. 0. 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 180 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.527 66.256 0.497 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.116 9.681 0.457 0. 0. 0. 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.123 7.962 0.464 0. 0. 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 190 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.5 10.557 0.423 0. 0. 0. 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 292 661 0 0 0 0
normalized size 1 1. 1.7 3.84 0. 0. 0. 0.
time (sec) N/A 0.222 1.897 10.024 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 225 426 0 0 0 0
normalized size 1 1. 1.67 3.16 0. 0. 0. 0.
time (sec) N/A 0.192 1.194 7.894 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 157 240 0 0 0 0
normalized size 1 1. 1.48 2.26 0. 0. 0. 0.
time (sec) N/A 0.179 1.056 3.536 0. 0. 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 148 321 0 0 0 0
normalized size 1 1. 1.35 2.92 0. 0. 0. 0.
time (sec) N/A 0.184 1.239 2.699 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 148 355 0 0 0 0
normalized size 1 1. 1.05 2.52 0. 0. 0. 0.
time (sec) N/A 0.203 1.593 2.924 0. 0. 0. 0.


















Problem 464 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 172 172 182 383 0 0 0 0
normalized size 1 1. 1.06 2.23 0. 0. 0. 0.
time (sec) N/A 0.224 2.196 3.135 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 299 741 0 0 0 0
normalized size 1 1. 1.5 3.72 0. 0. 0. 0.
time (sec) N/A 0.345 2.979 10.25 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 279 513 0 0 0 0
normalized size 1 1. 1.74 3.21 0. 0. 0. 0.
time (sec) N/A 0.318 2.243 3.736 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 302 388 0 0 0 0
normalized size 1 1. 1.89 2.42 0. 0. 0. 0.
time (sec) N/A 0.323 1.839 3.353 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 153 357 0 0 0 0
normalized size 1 1. 0.92 2.15 0. 0. 0. 0.
time (sec) N/A 0.34 1.62 3.26 0. 0. 0. 0.


















Problem 469 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 201 201 193 385 0 0 0 0
normalized size 1 1. 0.96 1.92 0. 0. 0. 0.
time (sec) N/A 0.369 2.293 2.94 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 435 929 0 0 0 0
normalized size 1 1. 1.78 3.81 0. 0. 0. 0.
time (sec) N/A 0.505 4.096 11.729 0. 0. 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 268 916 0 0 0 0
normalized size 1 1. 1.27 4.34 0. 0. 0. 0.
time (sec) N/A 0.495 3.161 10.273 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 202 654 0 0 0 0
normalized size 1 1. 1.02 3.29 0. 0. 0. 0.
time (sec) N/A 0.491 1.892 3.417 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 207 519 0 0 0 0
normalized size 1 1. 0.98 2.46 0. 0. 0. 0.
time (sec) N/A 0.495 1.597 3.493 0. 0. 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 194 385 0 0 0 0
normalized size 1 1. 0.92 1.82 0. 0. 0. 0.
time (sec) N/A 0.508 2.387 3.111 0. 0. 0. 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 196 413 0 0 0 0
normalized size 1 1. 0.8 1.69 0. 0. 0. 0.
time (sec) N/A 0.535 2.768 3.016 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 650 493 0 0 0 0
normalized size 1 1. 3.37 2.55 0. 0. 0. 0.
time (sec) N/A 0.304 7.182 9.714 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 400 319 0 0 0 0
normalized size 1 1. 2.52 2.01 0. 0. 0. 0.
time (sec) N/A 0.276 4.369 5.949 0. 0. 0. 0.


















Problem 478 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 123 123 200 244 0 0 0 0
normalized size 1 1. 1.63 1.98 0. 0. 0. 0.
time (sec) N/A 0.245 1.093 3.193 0. 0. 0. 0.


















Problem 479 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 125 125 422 244 0 0 0 0
normalized size 1 1. 3.38 1.95 0. 0. 0. 0.
time (sec) N/A 0.253 2.576 3.398 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 444 262 0 0 0 0
normalized size 1 1. 2.72 1.61 0. 0. 0. 0.
time (sec) N/A 0.281 4.933 3.086 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 518 281 0 0 0 0
normalized size 1 1. 2.64 1.43 0. 0. 0. 0.
time (sec) N/A 0.3 3.216 3.461 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 303 494 0 0 0 0
normalized size 1 1. 1.46 2.38 0. 0. 0. 0.
time (sec) N/A 0.431 3.145 4.286 0. 0. 0. 0.


















Problem 483 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 161 161 256 350 0 0 0 0
normalized size 1 1. 1.59 2.17 0. 0. 0. 0.
time (sec) N/A 0.388 2.004 3.796 0. 0. 0. 0.


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 256 350 0 0 0 0
normalized size 1 1. 1.52 2.08 0. 0. 0. 0.
time (sec) N/A 0.391 2.443 3.863 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 475 421 0 0 0 0
normalized size 1 1. 2.7 2.39 0. 0. 0. 0.
time (sec) N/A 0.406 6.37 3.718 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 777 435 0 0 0 0
normalized size 1 1. 3.77 2.11 0. 0. 0. 0.
time (sec) N/A 0.434 6.84 3.851 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 358 685 0 0 0 0
normalized size 1 1. 1.37 2.62 0. 0. 0. 0.
time (sec) N/A 0.612 5.397 4.529 0. 0. 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 793 451 0 0 0 0
normalized size 1 1. 3.57 2.03 0. 0. 0. 0.
time (sec) N/A 0.581 6.887 3.971 0. 0. 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 792 451 0 0 0 0
normalized size 1 1. 3.67 2.09 0. 0. 0. 0.
time (sec) N/A 0.566 6.865 4.217 0. 0. 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 793 451 0 0 0 0
normalized size 1 1. 3.57 2.03 0. 0. 0. 0.
time (sec) N/A 0.58 6.956 3.7 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 817 451 0 0 0 0
normalized size 1 1. 3.58 1.98 0. 0. 0. 0.
time (sec) N/A 0.577 7.11 3.719 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 259 259 589 465 0 0 0 0
normalized size 1 1. 2.27 1.8 0. 0. 0. 0.
time (sec) N/A 0.624 4.559 3.979 0. 0. 0. 0.


















Problem 493 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 220 220 124 138 890 316 0 0
normalized size 1 1. 0.56 0.63 4.05 1.44 0. 0.
time (sec) N/A 0.486 0.538 0.802 1.984 1.723 0. 0.


















Problem 494 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 175 175 102 116 767 273 0 0
normalized size 1 1. 0.58 0.66 4.38 1.56 0. 0.
time (sec) N/A 0.406 0.428 0.801 2.179 1.643 0. 0.


















Problem 495 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 130 130 78 94 641 225 0 0
normalized size 1 1. 0.6 0.72 4.93 1.73 0. 0.
time (sec) N/A 0.334 0.272 0.759 1.842 1.897 0. 0.


















Problem 496 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 85 85 57 70 513 177 0 0
normalized size 1 1. 0.67 0.82 6.04 2.08 0. 0.
time (sec) N/A 0.266 0.182 0.806 1.754 1.984 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 86 171 1223 259 0 0
normalized size 1 1. 0.9 1.78 12.74 2.7 0. 0.
time (sec) N/A 0.273 0.214 0.777 2.309 1.947 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 103 168 1268 274 0 0
normalized size 1 1. 1.05 1.71 12.94 2.8 0. 0.
time (sec) N/A 0.271 0.201 0.766 2.813 1.923 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 120 238 2499 348 0 0
normalized size 1 1. 0.79 1.58 16.55 2.3 0. 0.
time (sec) N/A 0.338 0.378 0.858 3.385 1.949 0. 0.


















Problem 500 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 196 196 138 308 4024 397 0 0
normalized size 1 1. 0.7 1.57 20.53 2.03 0. 0.
time (sec) N/A 0.414 0.69 0.833 3.337 1.97 0. 0.


















Problem 501 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 275 275 146 161 961 402 0 0
normalized size 1 1. 0.53 0.59 3.49 1.46 0. 0.
time (sec) N/A 0.723 0.775 0.777 2.304 1.481 0. 0.


















Problem 502 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 228 228 124 139 836 338 0 0
normalized size 1 1. 0.54 0.61 3.67 1.48 0. 0.
time (sec) N/A 0.65 0.692 0.684 2.152 1.433 0. 0.


















Problem 503 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 181 181 102 117 711 288 0 0
normalized size 1 1. 0.56 0.65 3.93 1.59 0. 0.
time (sec) N/A 0.561 0.545 0.652 2.508 1.463 0. 0.


















Problem 504 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 134 134 80 95 589 234 0 0
normalized size 1 1. 0.6 0.71 4.4 1.75 0. 0.
time (sec) N/A 0.469 0.33 0.569 1.993 1.46 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 106 287 1974 355 0 0
normalized size 1 1. 0.73 1.98 13.61 2.45 0. 0.
time (sec) N/A 0.451 0.395 0.666 2.87 1.615 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 107 308 2431 323 0 0
normalized size 1 1. 0.73 2.11 16.65 2.21 0. 0.
time (sec) N/A 0.466 0.322 0.655 2.98 1.859 0. 0.


















Problem 507 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 153 153 121 233 2543 365 0 0
normalized size 1 1. 0.79 1.52 16.62 2.39 0. 0.
time (sec) N/A 0.455 0.441 0.696 2.771 1.967 0. 0.


















Problem 508 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 200 200 141 309 4081 423 0 0
normalized size 1 1. 0.7 1.54 20.4 2.12 0. 0.
time (sec) N/A 0.542 0.504 0.658 4.384 1.87 0. 0.


















Problem 509 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 247 247 158 381 12016 473 0 0
normalized size 1 1. 0.64 1.54 48.65 1.91 0. 0.
time (sec) N/A 0.644 0.773 0.549 6.195 2.338 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 171 185 1030 487 0 0
normalized size 1 1. 0.53 0.57 3.2 1.51 0. 0.
time (sec) N/A 0.939 0.891 0.651 2.196 1.512 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 147 163 907 417 0 0
normalized size 1 1. 0.53 0.59 3.3 1.52 0. 0.
time (sec) N/A 0.848 1.279 0.674 2.424 1.481 0. 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 126 141 782 354 0 0
normalized size 1 1. 0.55 0.62 3.43 1.55 0. 0.
time (sec) N/A 0.768 0.938 0.654 2.398 1.393 0. 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 104 119 659 300 0 0
normalized size 1 1. 0.57 0.66 3.64 1.66 0. 0.
time (sec) N/A 0.676 0.7 0.655 2.33 1.443 0. 0.


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 130 389 2313 425 0 0
normalized size 1 1. 0.68 2.03 12.05 2.21 0. 0.
time (sec) N/A 0.623 0.815 0.724 3.29 1.617 0. 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 130 492 3753 432 0 0
normalized size 1 1. 0.67 2.55 19.45 2.24 0. 0.
time (sec) N/A 0.654 0.734 0.688 3.743 1.939 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 126 344 0 393 0 0
normalized size 1 1. 0.64 1.74 0. 1.98 0. 0.
time (sec) N/A 0.664 0.781 0.71 0. 1.916 0. 0.


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 141 305 4146 436 0 0
normalized size 1 1. 0.7 1.52 20.73 2.18 0. 0.
time (sec) N/A 0.65 0.969 0.799 3.188 1.91 0. 0.


















Problem 518 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 247 247 159 383 12677 500 0 0
normalized size 1 1. 0.64 1.55 51.32 2.02 0. 0.
time (sec) N/A 0.752 0.969 0.658 5.214 2.371 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 181 455 0 562 0 0
normalized size 1 1. 0.62 1.55 0. 1.91 0. 0.
time (sec) N/A 0.866 1.427 0.589 0. 2.439 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 272 793 0 539 0 0
normalized size 1 1. 0.92 2.69 0. 1.83 0. 0.
time (sec) N/A 1.057 9.506 0.641 0. 1.7 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 250 657 0 493 0 0
normalized size 1 1. 1. 2.63 0. 1.97 0. 0.
time (sec) N/A 0.838 6.797 0.769 0. 1.724 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 207 207 1718 521 0 443 0 0
normalized size 1 1. 8.3 2.52 0. 2.14 0. 0.
time (sec) N/A 0.647 7.97 0.774 0. 1.688 0. 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 162 162 0 384 0 393 0 0
normalized size 1 1. 0. 2.37 0. 2.43 0. 0.
time (sec) N/A 0.453 0. 0.774 0. 1.627 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 119 119 203 231 0 306 0 0
normalized size 1 1. 1.71 1.94 0. 2.57 0. 0.
time (sec) N/A 0.306 1.51 0.717 0. 1.612 0. 0.


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 102 153 0 278 0 0
normalized size 1 1. 0.73 1.09 0. 1.99 0. 0.
time (sec) N/A 0.35 0.205 0.753 0. 10.438 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 467 232 0 466 0 0
normalized size 1 1. 2.58 1.28 0. 2.57 0. 0.
time (sec) N/A 0.513 1.36 0.727 0. 13.466 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 412 300 0 539 0 0
normalized size 1 1. 1.79 1.3 0. 2.34 0. 0.
time (sec) N/A 0.699 1.413 0.786 0. 25.88 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 143 317 0 0 0 0
normalized size 1 1. 0.74 1.65 0. 0. 0. 0.
time (sec) N/A 0.665 0.45 0.799 0. 0. 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 317 317 2966 731 0 645 0 0
normalized size 1 1. 9.36 2.31 0. 2.03 0. 0.
time (sec) N/A 1.106 10.334 0.72 0. 2.907 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 270 270 0 595 0 590 0 0
normalized size 1 1. 0. 2.2 0. 2.19 0. 0.
time (sec) N/A 0.887 0. 0.703 0. 2.779 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 223 223 981 457 0 531 0 0
normalized size 1 1. 4.4 2.05 0. 2.38 0. 0.
time (sec) N/A 0.702 6.845 0.727 0. 2.172 0. 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 176 176 443 312 0 435 0 0
normalized size 1 1. 2.52 1.77 0. 2.47 0. 0.
time (sec) N/A 0.519 4.451 0.675 0. 2.002 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 196 236 0 397 0 0
normalized size 1 1. 1.54 1.86 0. 3.13 0. 0.
time (sec) N/A 0.337 1.622 0.656 0. 1.965 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 243 288 0 571 0 0
normalized size 1 1. 1.31 1.56 0. 3.09 0. 0.
time (sec) N/A 0.544 1.645 0.657 0. 43.247 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 836 370 0 667 0 0
normalized size 1 1. 3.53 1.56 0. 2.81 0. 0.
time (sec) N/A 0.736 6.696 1.02 0. 47.803 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 317 261 729 0 732 0 0
normalized size 1 1. 0.82 2.3 0. 2.31 0. 0.
time (sec) N/A 1.125 8.177 0.747 0. 1.845 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 243 585 0 672 0 0
normalized size 1 1. 0.9 2.17 0. 2.49 0. 0.
time (sec) N/A 0.929 3.589 0.638 0. 1.835 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 219 457 0 570 0 0
normalized size 1 1. 0.98 2.05 0. 2.56 0. 0.
time (sec) N/A 0.729 2.193 0.578 0. 1.897 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 216 376 0 551 0 0
normalized size 1 1. 1.23 2.14 0. 3.13 0. 0.
time (sec) N/A 0.526 1.737 0.682 0. 1.844 0. 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 213 375 0 544 0 0
normalized size 1 1. 1.22 2.16 0. 3.13 0. 0.
time (sec) N/A 0.511 1.77 0.582 0. 1.714 0. 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 264 476 0 759 0 0
normalized size 1 1. 1.13 2.03 0. 3.24 0. 0.
time (sec) N/A 0.738 2.509 0.605 0. 77.079 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 929 609 0 853 0 0
normalized size 1 1. 3.25 2.13 0. 2.98 0. 0.
time (sec) N/A 0.981 7.157 0.615 0. 99.568 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 317 267 729 0 822 0 0
normalized size 1 1. 0.84 2.3 0. 2.59 0. 0.
time (sec) N/A 1.147 5.5 0.649 0. 1.847 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 242 595 0 714 0 0
normalized size 1 1. 0.9 2.2 0. 2.64 0. 0.
time (sec) N/A 0.95 3.181 0.647 0. 1.77 0. 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 228 512 0 686 0 0
normalized size 1 1. 1.02 2.3 0. 3.08 0. 0.
time (sec) N/A 0.728 3.021 0.707 0. 1.736 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 221 221 233 512 0 679 0 0
normalized size 1 1. 1.05 2.32 0. 3.07 0. 0.
time (sec) N/A 0.725 2.872 0.661 0. 1.747 0. 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 221 221 488 512 0 675 0 0
normalized size 1 1. 2.21 2.32 0. 3.05 0. 0.
time (sec) N/A 0.723 7.165 0.598 0. 1.849 0. 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 281 667 0 927 0 0
normalized size 1 1. 1. 2.37 0. 3.3 0. 0.
time (sec) N/A 0.919 3.912 0.675 0. 98.877 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 333 333 1017 855 0 1041 0 0
normalized size 1 1. 3.05 2.57 0. 3.13 0. 0.
time (sec) N/A 1.205 7.577 0.71 0. 172.239 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 132 663 0 0 0 0
normalized size 1 1. 0.73 3.68 0. 0. 0. 0.
time (sec) N/A 0.223 1.825 10.268 0. 0. 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 104 428 0 0 0 0
normalized size 1 1. 0.73 2.99 0. 0. 0. 0.
time (sec) N/A 0.201 0.797 8.347 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 85 244 0 0 0 0
normalized size 1 1. 0.77 2.2 0. 0. 0. 0.
time (sec) N/A 0.18 0.259 3.681 0. 0. 0. 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 90 326 0 0 0 0
normalized size 1 1. 0.78 2.83 0. 0. 0. 0.
time (sec) N/A 0.188 0.227 3.579 0. 0. 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 108 371 0 0 0 0
normalized size 1 1. 0.73 2.51 0. 0. 0. 0.
time (sec) N/A 0.208 0.527 3.483 0. 0. 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 125 413 0 0 0 0
normalized size 1 1. 0.69 2.29 0. 0. 0. 0.
time (sec) N/A 0.234 0.967 3.358 0. 0. 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 171 750 0 0 0 0
normalized size 1 1. 0.77 3.39 0. 0. 0. 0.
time (sec) N/A 0.38 2.368 10.918 0. 0. 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 125 677 0 0 0 0
normalized size 1 1. 0.71 3.82 0. 0. 0. 0.
time (sec) N/A 0.352 1.119 7.943 0. 0. 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 124 404 0 0 0 0
normalized size 1 1. 0.77 2.51 0. 0. 0. 0.
time (sec) N/A 0.32 0.728 3.925 0. 0. 0. 0.


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 128 487 0 0 0 0
normalized size 1 1. 0.75 2.85 0. 0. 0. 0.
time (sec) N/A 0.336 0.882 3.695 0. 0. 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 161 548 0 0 0 0
normalized size 1 1. 0.76 2.57 0. 0. 0. 0.
time (sec) N/A 0.372 1.332 3.781 0. 0. 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 225 944 0 0 0 0
normalized size 1 1. 0.76 3.2 0. 0. 0. 0.
time (sec) N/A 0.597 3.508 13.595 0. 0. 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 192 997 0 0 0 0
normalized size 1 1. 0.79 4.09 0. 0. 0. 0.
time (sec) N/A 0.577 1.555 10.882 0. 0. 0. 0.


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 166 1212 0 0 0 0
normalized size 1 1. 0.69 5.07 0. 0. 0. 0.
time (sec) N/A 0.566 1.869 10.385 0. 0. 0. 0.


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 172 867 0 0 0 0
normalized size 1 1. 0.73 3.66 0. 0. 0. 0.
time (sec) N/A 0.533 1.376 4.28 0. 0. 0. 0.


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 180 664 0 0 0 0
normalized size 1 1. 0.73 2.71 0. 0. 0. 0.
time (sec) N/A 0.544 1.256 3.599 0. 0. 0. 0.


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 219 745 0 0 0 0
normalized size 1 1. 0.74 2.53 0. 0. 0. 0.
time (sec) N/A 0.579 1.782 3.452 0. 0. 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 229 468 0 0 0 0
normalized size 1 1. 1.09 2.23 0. 0. 0. 0.
time (sec) N/A 0.808 3.408 9.955 0. 0. 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 127 327 0 0 0 0
normalized size 1 1. 1.01 2.6 0. 0. 0. 0.
time (sec) N/A 0.459 1.265 7.079 0. 0. 0. 0.


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 78 217 0 0 0 0
normalized size 1 1. 0.77 2.15 0. 0. 0. 0.
time (sec) N/A 0.283 0.522 3.706 0. 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 224 295 0 0 0 0
normalized size 1 1. 1.5 1.98 0. 0. 0. 0.
time (sec) N/A 0.346 6.142 3.76 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 282 786 0 0 0 0
normalized size 1 1. 1.43 3.99 0. 0. 0. 0.
time (sec) N/A 0.56 6.516 3.815 0. 0. 0. 0.


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 405 405 741 1031 0 0 0 0
normalized size 1 1. 1.83 2.55 0. 0. 0. 0.
time (sec) N/A 1.289 7.056 16.78 0. 0. 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 316 316 687 883 0 0 0 0
normalized size 1 1. 2.17 2.79 0. 0. 0. 0.
time (sec) N/A 0.942 6.936 10.849 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 260 260 645 721 0 0 0 0
normalized size 1 1. 2.48 2.77 0. 0. 0. 0.
time (sec) N/A 0.613 6.819 8.523 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 258 258 632 808 0 0 0 0
normalized size 1 1. 2.45 3.13 0. 0. 0. 0.
time (sec) N/A 0.605 6.776 9.402 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 284 284 661 849 0 0 0 0
normalized size 1 1. 2.33 2.99 0. 0. 0. 0.
time (sec) N/A 0.658 6.886 10.895 0. 0. 0. 0.


















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 363 363 707 1066 0 0 0 0
normalized size 1 1. 1.95 2.94 0. 0. 0. 0.
time (sec) N/A 0.962 6.993 13.194 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 480 480 850 2002 0 0 0 0
normalized size 1 1. 1.77 4.17 0. 0. 0. 0.
time (sec) N/A 1.45 7.165 19.237 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 405 405 803 1744 0 0 0 0
normalized size 1 1. 1.98 4.31 0. 0. 0. 0.
time (sec) N/A 1.036 6.923 15.027 0. 0. 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 402 402 790 1850 0 0 0 0
normalized size 1 1. 1.97 4.6 0. 0. 0. 0.
time (sec) N/A 1.09 6.907 15.087 0. 0. 0. 0.


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 400 400 792 1937 0 0 0 0
normalized size 1 1. 1.98 4.84 0. 0. 0. 0.
time (sec) N/A 0.955 6.916 15.242 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 826 1977 0 0 0 0
normalized size 1 1. 1.93 4.63 0. 0. 0. 0.
time (sec) N/A 1.057 7.067 17.077 0. 0. 0. 0.


















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 521 521 871 2195 0 0 0 0
normalized size 1 1. 1.67 4.21 0. 0. 0. 0.
time (sec) N/A 1.529 7.299 19.167 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 47 214 0 0 0 0
normalized size 1 1. 0.73 3.34 0. 0. 0. 0.
time (sec) N/A 0.037 0.068 3.359 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 46 102 0 0 0 0
normalized size 1 1. 0.77 1.7 0. 0. 0. 0.
time (sec) N/A 0.036 0.044 2.691 0. 0. 0. 0.


















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 134 0 0 0 0
normalized size 1 1. 1. 3.62 0. 0. 0. 0.
time (sec) N/A 0.023 0.029 2.184 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 134 0 0 0 0
normalized size 1 1. 1. 3.62 0. 0. 0. 0.
time (sec) N/A 0.023 0.034 1.898 0. 0. 0. 0.


















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 50 180 0 0 0 0
normalized size 1 1. 0.78 2.81 0. 0. 0. 0.
time (sec) N/A 0.039 0.044 2.876 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 56 203 0 0 0 0
normalized size 1 1. 0.88 3.17 0. 0. 0. 0.
time (sec) N/A 0.037 0.07 2.808 0. 0. 0. 0.


















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 473 473 3321 3436 0 0 0 0
normalized size 1 1. 7.02 7.26 0. 0. 0. 0.
time (sec) N/A 1.438 24.408 0.706 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 390 390 423 2489 0 0 0 0
normalized size 1 1. 1.08 6.38 0. 0. 0. 0.
time (sec) N/A 1.057 17.922 0.576 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 346 1735 0 0 0 0
normalized size 1 1. 1.07 5.35 0. 0. 0. 0.
time (sec) N/A 0.675 14.977 0.467 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 411 411 639 1361 0 0 0 0
normalized size 1 1. 1.55 3.31 0. 0. 0. 0.
time (sec) N/A 0.685 17.21 0.57 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 445 445 795 1369 0 0 0 0
normalized size 1 1. 1.79 3.08 0. 0. 0. 0.
time (sec) N/A 0.903 17.423 0.701 0. 0. 0. 0.


















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 533 533 1133 2054 0 0 0 0
normalized size 1 1. 2.13 3.85 0. 0. 0. 0.
time (sec) N/A 1.265 18.629 0.565 0. 0. 0. 0.


















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 620 620 1549 2957 0 0 0 0
normalized size 1 1. 2.5 4.77 0. 0. 0. 0.
time (sec) N/A 1.74 14.671 0.787 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 562 562 3739 4399 0 0 0 0
normalized size 1 1. 6.65 7.83 0. 0. 0. 0.
time (sec) N/A 2.078 25.675 0.969 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 473 473 3318 3421 0 0 0 0
normalized size 1 1. 7.01 7.23 0. 0. 0. 0.
time (sec) N/A 1.529 24.336 0.64 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 393 393 427 2674 0 0 0 0
normalized size 1 1. 1.09 6.8 0. 0. 0. 0.
time (sec) N/A 1.091 18.546 0.605 0. 0. 0. 0.


















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 479 479 6011 2326 0 0 0 0
normalized size 1 1. 12.55 4.86 0. 0. 0. 0.
time (sec) N/A 1.076 24.265 0.694 0. 0. 0. 0.


















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 509 509 935 2193 0 0 0 0
normalized size 1 1. 1.84 4.31 0. 0. 0. 0.
time (sec) N/A 1.38 18.395 0.476 0. 0. 0. 0.


















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 532 532 1146 2432 0 0 0 0
normalized size 1 1. 2.15 4.57 0. 0. 0. 0.
time (sec) N/A 1.367 18.572 0.547 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 626 626 1505 3141 0 0 0 0
normalized size 1 1. 2.4 5.02 0. 0. 0. 0.
time (sec) N/A 1.973 19.217 0.65 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 730 730 1907 4056 0 0 0 0
normalized size 1 1. 2.61 5.56 0. 0. 0. 0.
time (sec) N/A 2.441 21.621 0.964 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 662 662 4198 5381 0 0 0 0
normalized size 1 1. 6.34 8.13 0. 0. 0. 0.
time (sec) N/A 2.911 26.766 1.276 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 562 562 3755 4400 0 0 0 0
normalized size 1 1. 6.68 7.83 0. 0. 0. 0.
time (sec) N/A 2.072 25.823 0.887 0. 0. 0. 0.


















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 474 474 3348 3636 0 0 0 0
normalized size 1 1. 7.06 7.67 0. 0. 0. 0.
time (sec) N/A 1.501 24.911 0.774 0. 0. 0. 0.


















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 553 553 7062 3282 0 0 0 0
normalized size 1 1. 12.77 5.93 0. 0. 0. 0.
time (sec) N/A 1.473 25.054 0.713 0. 0. 0. 0.


















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 596 596 7752 3212 0 0 0 0
normalized size 1 1. 13.01 5.39 0. 0. 0. 0.
time (sec) N/A 1.895 25.597 0.612 0. 0. 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 607 607 1290 3278 0 0 0 0
normalized size 1 1. 2.13 5.4 0. 0. 0. 0.
time (sec) N/A 1.879 19.388 0.735 0. 0. 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 624 624 1521 3514 0 0 0 0
normalized size 1 1. 2.44 5.63 0. 0. 0. 0.
time (sec) N/A 1.946 19.368 0.727 0. 0. 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 724 724 1877 4240 0 0 0 0
normalized size 1 1. 2.59 5.86 0. 0. 0. 0.
time (sec) N/A 2.518 20.152 0.883 0. 0. 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 839 839 705 5172 0 0 0 0
normalized size 1 1. 0.84 6.16 0. 0. 0. 0.
time (sec) N/A 3.603 15.536 0.967 0. 0. 0. 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 403 403 2987 2488 0 0 0 0
normalized size 1 1. 7.41 6.17 0. 0. 0. 0.
time (sec) N/A 1.026 22.507 0.671 0. 0. 0. 0.


















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 330 330 355 1544 0 0 0 0
normalized size 1 1. 1.08 4.68 0. 0. 0. 0.
time (sec) N/A 0.664 16.03 0.769 0. 0. 0. 0.


















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 279 812 0 0 0 0
normalized size 1 1. 1.03 3.01 0. 0. 0. 0.
time (sec) N/A 0.457 13.98 0.708 0. 0. 0. 0.


















Problem 617 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 268 268 159 199 0 0 0 0
normalized size 1 1. 0.59 0.74 0. 0. 0. 0.
time (sec) N/A 0.399 2.646 0.674 0. 0. 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 487 487 1091 1004 0 0 0 0
normalized size 1 1. 2.24 2.06 0. 0. 0. 0.
time (sec) N/A 1.265 18.276 0.708 0. 0. 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 539 539 1169 1878 0 0 0 0
normalized size 1 1. 2.17 3.48 0. 0. 0. 0.
time (sec) N/A 1.253 19.794 0.648 0. 0. 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 433 3433 3343 0 0 0 0
normalized size 1 1. 7.93 7.72 0. 0. 0. 0.
time (sec) N/A 1.159 24.54 0.651 0. 0. 0. 0.


















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 345 345 433 2291 0 0 0 0
normalized size 1 1. 1.26 6.64 0. 0. 0. 0.
time (sec) N/A 0.791 18.571 0.668 0. 0. 0. 0.


















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 305 1636 0 0 0 0
normalized size 1 1. 0.94 5.05 0. 0. 0. 0.
time (sec) N/A 0.685 13.673 0.684 0. 0. 0. 0.


















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 476 476 1403 2016 0 0 0 0
normalized size 1 1. 2.95 4.24 0. 0. 0. 0.
time (sec) N/A 0.775 13.995 0.596 0. 0. 0. 0.


















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 560 560 1567 2890 0 0 0 0
normalized size 1 1. 2.8 5.16 0. 0. 0. 0.
time (sec) N/A 1.509 19.578 0.549 0. 0. 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 607 607 4316 8101 0 0 0 0
normalized size 1 1. 7.11 13.35 0. 0. 0. 0.
time (sec) N/A 2.203 26.559 0.757 0. 0. 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 496 496 3891 6506 0 0 0 0
normalized size 1 1. 7.84 13.12 0. 0. 0. 0.
time (sec) N/A 1.383 26.087 0.824 0. 0. 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 469 469 3493 5205 0 0 0 0
normalized size 1 1. 7.45 11.1 0. 0. 0. 0.
time (sec) N/A 1.19 24.323 0.641 0. 0. 0. 0.


















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 431 431 528 4243 0 0 0 0
normalized size 1 1. 1.23 9.84 0. 0. 0. 0.
time (sec) N/A 1.081 18.992 0.681 0. 0. 0. 0.


















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 602 602 1994 5757 0 0 0 0
normalized size 1 1. 3.31 9.56 0. 0. 0. 0.
time (sec) N/A 1.645 16.147 0.571 0. 0. 0. 0.


















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 733 733 2342 8621 0 0 0 0
normalized size 1 1. 3.2 11.76 0. 0. 0. 0.
time (sec) N/A 2.494 22.491 0.714 0. 0. 0. 0.


















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 298 621 0 0 0 0
normalized size 1 1. 1.12 2.33 0. 0. 0. 0.
time (sec) N/A 0.37 6.1 0.583 0. 0. 0. 0.


















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 104 126 0 0 0 0
normalized size 1 1. 0.8 0.97 0. 0. 0. 0.
time (sec) N/A 0.155 0.135 0.679 0. 0. 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 149 144 0 0 0 0
normalized size 1 1. 1.09 1.05 0. 0. 0. 0.
time (sec) N/A 0.155 0.178 0.642 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 479 479 5018 634 0 0 0 0
normalized size 1 1. 10.48 1.32 0. 0. 0. 0.
time (sec) N/A 0.922 6.117 0.697 0. 0. 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 58 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.181 8.455 3.207 0. 0. 0. 0.


















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 644 644 317 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 2.042 3.959 2.862 0. 0. 0. 0.


















Problem 637 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 455 455 259 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 1.145 2.163 2.351 0. 0. 0. 0.


















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 327 327 205 0 0 0 0 0
normalized size 1 1. 0.63 0. 0. 0. 0. 0.
time (sec) N/A 0.643 0.935 2.099 0. 0. 0. 0.


















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 217 217 163 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.36 0.362 2.181 0. 0. 0. 0.


















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 299 299 10630 0 0 0 0 0
normalized size 1 1. 35.55 0. 0. 0. 0. 0.
time (sec) N/A 0.576 26.5 1.394 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 209 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.721 57.077 0.714 0. 0. 0. 0.


















Problem 642 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 60 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.239 12.341 0.773 0. 0. 0. 0.


















Problem 643 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 60 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.242 8.204 0.715 0. 0. 0. 0.


















Problem 644 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 212 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.686 10.502 0.716 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 [317] had the largest ratio of [ 0.3333 ]

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 8 6 1. 29 0.207







2 A 7 6 1. 29 0.207







3 A 3 3 1. 27 0.111







4 A 1 1 1. 21 0.048







5 A 4 4 1. 27 0.148







6 A 4 4 1. 29 0.138







7 A 6 6 1. 29 0.207







8 A 7 7 1. 29 0.241







9 A 7 6 1. 29 0.207







10 A 9 7 1. 31 0.226







11 A 8 7 1. 31 0.226







12 A 4 4 1. 29 0.138







13 A 2 2 1. 23 0.087







14 A 5 5 1. 29 0.172







15 A 5 5 1. 31 0.161







16 A 5 5 1. 31 0.161







17 A 7 7 1. 31 0.226







18 A 8 8 1. 31 0.258







19 A 9 7 1. 31 0.226







20 A 10 8 1. 29 0.276







21 A 8 6 1. 23 0.261







22 A 6 5 1. 29 0.172







23 A 6 6 1. 31 0.194







24 A 6 5 1. 31 0.161







25 A 6 5 1. 31 0.161







26 A 8 7 1. 31 0.226







27 A 9 8 1. 31 0.258







28 A 10 7 1. 31 0.226







29 A 13 8 1. 29 0.276







30 A 11 6 1. 23 0.261







31 A 7 5 1. 29 0.172







32 A 7 6 1. 31 0.194







33 A 7 6 1. 31 0.194







34 A 7 5 1. 31 0.161







35 A 7 5 1. 31 0.161







36 A 9 7 1. 31 0.226







37 A 10 8 1. 31 0.258







38 A 7 5 1. 31 0.161







39 A 6 5 1. 31 0.161







40 A 2 2 1.1 31 0.065







41 A 5 5 1. 29 0.172







42 A 2 2 1. 23 0.087







43 A 3 3 1. 29 0.103







44 A 5 5 1. 31 0.161







45 A 6 6 1. 31 0.194







46 A 6 5 1. 31 0.161







47 A 7 5 1. 31 0.161







48 A 3 2 1. 31 0.065







49 A 6 6 1. 31 0.194







50 A 4 4 1. 29 0.138







51 A 2 2 1. 23 0.087







52 A 4 3 1. 29 0.103







53 A 6 5 1. 31 0.161







54 A 7 6 1. 31 0.194







55 A 7 5 1. 31 0.161







56 A 8 5 1. 31 0.161







57 A 4 2 1. 31 0.065







58 A 7 6 1. 31 0.194







59 A 5 5 1. 31 0.161







60 A 4 4 1. 29 0.138







61 A 3 3 1. 23 0.13







62 A 5 3 1. 29 0.103







63 A 7 5 1. 31 0.161







64 A 8 6 1. 31 0.194







65 A 5 2 1. 31 0.065







66 A 8 6 1. 31 0.194







67 A 6 5 1. 31 0.161







68 A 5 5 1. 31 0.161







69 A 5 5 1. 29 0.172







70 A 4 3 1. 23 0.13







71 A 6 3 1. 29 0.103







72 A 8 5 1. 31 0.161







73 A 9 6 1. 31 0.194







74 A 5 5 1. 33 0.152







75 A 4 4 1. 33 0.121







76 A 4 4 1. 31 0.129







77 A 2 2 1. 25 0.08







78 A 3 3 1. 31 0.097







79 A 3 3 1. 33 0.091







80 A 4 4 1. 33 0.121







81 A 5 4 1. 33 0.121







82 A 6 6 1. 33 0.182







83 A 5 5 1. 33 0.152







84 A 5 5 1. 31 0.161







85 A 3 3 1. 25 0.12







86 A 4 4 1. 31 0.129







87 A 4 4 1. 33 0.121







88 A 4 4 1. 33 0.121







89 A 5 5 1. 33 0.152







90 A 6 5 1. 33 0.152







91 A 6 5 1. 33 0.152







92 A 6 5 1. 31 0.161







93 A 4 3 1. 25 0.12







94 A 5 4 1. 31 0.129







95 A 5 5 1. 33 0.152







96 A 5 4 1. 33 0.121







97 A 5 4 1. 33 0.121







98 A 6 5 1. 33 0.152







99 A 7 5 1. 33 0.152







100 A 7 6 1. 33 0.182







101 A 6 6 1. 33 0.182







102 A 5 5 1. 31 0.161







103 A 3 3 1. 25 0.12







104 A 5 4 1. 31 0.129







105 A 6 5 1. 33 0.152







106 A 7 5 1. 33 0.152







107 A 8 7 1. 33 0.212







108 A 7 7 1. 33 0.212







109 A 6 6 1. 33 0.182







110 A 5 5 1. 31 0.161







111 A 3 3 1. 25 0.12







112 A 6 5 1. 31 0.161







113 A 7 6 1. 33 0.182







114 A 8 6 1. 33 0.182







115 A 8 7 1. 33 0.212







116 A 7 6 1. 33 0.182







117 A 6 6 1. 33 0.182







118 A 5 5 1. 31 0.161







119 A 4 4 1. 25 0.16







120 A 7 5 1. 31 0.161







121 A 8 6 1. 33 0.182







122 A 9 6 1. 33 0.182







123 A 8 6 1. 31 0.194







124 A 7 6 1. 31 0.194







125 A 6 6 1. 31 0.194







126 A 5 5 1. 31 0.161







127 A 5 5 1. 31 0.161







128 A 6 6 1. 31 0.194







129 A 7 6 1. 31 0.194







130 A 8 7 1. 33 0.212







131 A 7 7 1. 33 0.212







132 A 6 6 1. 33 0.182







133 A 6 6 1. 33 0.182







134 A 6 6 1. 33 0.182







135 A 7 7 1. 33 0.212







136 A 8 7 1. 33 0.212







137 A 9 7 1. 33 0.212







138 A 8 7 1. 33 0.212







139 A 7 6 1. 33 0.182







140 A 7 7 1. 33 0.212







141 A 7 6 1. 33 0.182







142 A 7 6 1. 33 0.182







143 A 8 7 1. 33 0.212







144 A 9 7 1. 33 0.212







145 A 6 5 1. 33 0.152







146 A 5 5 1. 33 0.152







147 A 4 4 1. 33 0.121







148 A 4 4 1. 33 0.121







149 A 5 5 1. 33 0.152







150 A 6 5 1. 33 0.152







151 A 7 5 1. 33 0.152







152 A 6 5 1. 33 0.152







153 A 5 4 1. 33 0.121







154 A 5 5 1. 33 0.152







155 A 5 4 1. 33 0.121







156 A 6 5 1. 33 0.152







157 A 7 5 1. 33 0.152







158 A 8 5 1. 33 0.152







159 A 7 5 1. 33 0.152







160 A 6 4 1. 33 0.121







161 A 6 5 1. 33 0.152







162 A 6 5 1. 33 0.152







163 A 6 4 1. 33 0.121







164 A 7 5 1. 33 0.152







165 A 8 5 1. 33 0.152







166 A 6 4 1. 35 0.114







167 A 5 4 1. 35 0.114







168 A 4 4 1. 35 0.114







169 A 3 3 1. 35 0.086







170 A 3 3 1. 35 0.086







171 A 2 2 1. 35 0.057







172 A 3 3 1. 35 0.086







173 A 4 3 1. 35 0.086







174 A 6 5 1. 35 0.143







175 A 5 5 1. 35 0.143







176 A 4 4 1. 35 0.114







177 A 4 4 1. 35 0.114







178 A 4 4 1. 35 0.114







179 A 3 3 1. 35 0.086







180 A 4 4 1. 35 0.114







181 A 5 4 1. 35 0.114







182 A 7 5 1. 35 0.143







183 A 6 5 1. 35 0.143







184 A 5 4 1. 35 0.114







185 A 5 5 1. 35 0.143







186 A 5 4 1. 35 0.114







187 A 5 4 1. 35 0.114







188 A 4 3 1. 35 0.086







189 A 5 4 1. 35 0.114







190 A 6 4 1. 35 0.114







191 A 7 6 1. 35 0.171







192 A 6 6 1. 35 0.171







193 A 5 5 1. 35 0.143







194 A 4 4 1. 35 0.114







195 A 5 4 1. 35 0.114







196 A 6 4 1. 35 0.114







197 A 7 7 1. 35 0.2







198 A 6 6 1. 35 0.171







199 A 4 4 1. 35 0.114







200 A 5 5 1. 35 0.143







201 A 6 5 1. 35 0.143







202 A 8 7 1. 35 0.2







203 A 7 6 1. 35 0.171







204 A 5 5 1. 35 0.143







205 A 5 4 1. 35 0.114







206 A 6 5 1. 35 0.143







207 A 7 5 1. 35 0.143







208 A 9 7 1. 35 0.2







209 A 8 6 1. 35 0.171







210 A 6 5 1. 35 0.143







211 A 6 5 1. 35 0.143







212 A 6 4 1. 35 0.114







213 A 7 5 1. 35 0.143







214 A 8 5 1. 35 0.143







215 A 7 6 1. 29 0.207







216 A 3 3 1. 27 0.111







217 A 1 1 1. 21 0.048







218 A 4 4 1. 27 0.148







219 A 4 4 1. 29 0.138







220 A 6 6 1. 29 0.207







221 A 7 7 1. 29 0.241







222 A 7 6 1. 29 0.207







223 A 7 6 1. 31 0.194







224 A 4 4 1. 29 0.138







225 A 2 2 1. 23 0.087







226 A 4 4 1. 29 0.138







227 A 4 4 1. 31 0.129







228 A 4 4 1. 31 0.129







229 A 6 6 1. 31 0.194







230 A 7 7 1. 31 0.226







231 A 8 7 1. 31 0.226







232 A 5 4 1. 29 0.138







233 A 3 2 1. 23 0.087







234 A 5 5 1. 29 0.172







235 A 5 5 1. 31 0.161







236 A 5 5 1. 31 0.161







237 A 5 5 1. 31 0.161







238 A 7 7 1. 31 0.226







239 A 8 8 1. 31 0.258







240 A 9 8 1. 31 0.258







241 A 6 4 1. 29 0.138







242 A 4 2 1. 23 0.087







243 A 6 6 1. 29 0.207







244 A 6 6 1. 31 0.194







245 A 6 6 1. 31 0.194







246 A 6 6 1. 31 0.194







247 A 6 6 1. 31 0.194







248 A 8 8 1. 31 0.258







249 A 9 9 1. 31 0.29







250 A 6 6 1. 31 0.194







251 A 5 5 1. 31 0.161







252 A 6 6 1. 29 0.207







253 A 3 3 1. 23 0.13







254 A 4 4 1. 29 0.138







255 A 6 6 1. 31 0.194







256 A 6 6 1. 31 0.194







257 A 7 6 1. 31 0.194







258 A 6 6 1. 31 0.194







259 A 5 5 1. 31 0.161







260 A 5 5 1. 29 0.172







261 A 4 4 1. 23 0.174







262 A 5 5 1. 29 0.172







263 A 6 6 1. 31 0.194







264 A 7 6 1. 31 0.194







265 A 7 7 1. 31 0.226







266 A 6 6 1. 31 0.194







267 A 5 5 1. 31 0.161







268 A 6 6 1. 29 0.207







269 A 5 4 1. 23 0.174







270 A 6 6 1. 29 0.207







271 A 7 6 1. 31 0.194







272 A 8 6 1. 31 0.194







273 A 7 7 1. 31 0.226







274 A 6 6 1. 31 0.194







275 A 6 6 1. 31 0.194







276 A 7 6 1. 29 0.207







277 A 6 4 1. 23 0.174







278 A 7 6 1. 29 0.207







279 A 8 6 1. 31 0.194







280 A 9 6 1. 31 0.194







281 A 3 2 1. 34 0.059







282 A 3 3 1. 34 0.088







283 A 2 2 1. 32 0.062







284 A 2 2 1. 26 0.077







285 A 2 2 1. 32 0.062







286 A 3 3 1. 34 0.088







287 A 3 3 1. 34 0.088







288 A 3 2 1. 34 0.059







289 A 6 6 1. 34 0.176







290 A 6 6 1. 34 0.176







291 A 4 4 1. 32 0.125







292 A 3 3 1. 26 0.115







293 A 5 5 1. 32 0.156







294 A 7 7 1. 34 0.206







295 A 7 7 1. 34 0.206







296 A 9 9 1. 33 0.273







297 A 8 8 1. 33 0.242







298 A 8 8 1. 31 0.258







299 A 6 6 1. 25 0.24







300 A 8 8 1. 31 0.258







301 A 9 9 1. 33 0.273







302 A 10 10 1. 33 0.303







303 A 11 10 1. 33 0.303







304 A 9 8 1. 33 0.242







305 A 9 8 1. 31 0.258







306 A 7 6 1. 25 0.24







307 A 9 9 1. 31 0.29







308 A 9 9 1. 33 0.273







309 A 10 10 1. 33 0.303







310 A 11 10 1. 33 0.303







311 A 10 8 1. 33 0.242







312 A 10 8 1. 31 0.258







313 A 8 6 1. 25 0.24







314 A 10 10 1. 31 0.323







315 A 10 10 1. 33 0.303







316 A 10 10 1. 33 0.303







317 A 11 11 1. 33 0.333







318 A 12 11 1. 33 0.333







319 A 8 8 1. 33 0.242







320 A 7 7 1. 33 0.212







321 A 7 7 1. 31 0.226







322 A 5 5 1. 25 0.2







323 A 5 5 1. 31 0.161







324 A 9 9 1. 33 0.273







325 A 10 10 1. 33 0.303







326 A 8 8 1. 33 0.242







327 A 7 7 1. 33 0.212







328 A 7 7 1. 31 0.226







329 A 6 6 1. 25 0.24







330 A 7 7 1. 31 0.226







331 A 10 10 1. 33 0.303







332 A 11 10 1. 33 0.303







333 A 9 9 1. 33 0.273







334 A 8 8 1. 33 0.242







335 A 7 7 1. 33 0.212







336 A 8 8 1. 31 0.258







337 A 7 6 1. 25 0.24







338 A 10 10 1. 31 0.323







339 A 11 11 1. 33 0.333







340 A 12 10 1. 33 0.303







341 A 3 3 1. 28 0.107







342 A 3 3 1. 34 0.088







343 A 5 4 1. 28 0.143







344 A 8 8 1. 34 0.235







345 A 8 6 1. 31 0.194







346 A 7 6 1. 31 0.194







347 A 6 6 1. 31 0.194







348 A 5 5 1. 31 0.161







349 A 5 5 1. 31 0.161







350 A 6 6 1. 31 0.194







351 A 7 6 1. 31 0.194







352 A 8 6 1. 33 0.182







353 A 7 6 1. 33 0.182







354 A 6 6 1. 33 0.182







355 A 5 5 1. 33 0.152







356 A 5 5 1. 33 0.152







357 A 5 5 1. 33 0.152







358 A 6 6 1. 33 0.182







359 A 8 7 1. 33 0.212







360 A 7 7 1. 33 0.212







361 A 6 6 1. 33 0.182







362 A 6 6 1. 33 0.182







363 A 6 6 1. 33 0.182







364 A 6 6 1. 33 0.182







365 A 7 7 1. 33 0.212







366 A 6 6 1. 33 0.182







367 A 5 5 1. 33 0.152







368 A 3 3 1. 33 0.091







369 A 5 5 1. 33 0.152







370 A 7 7 1. 33 0.212







371 A 7 7 1. 33 0.212







372 A 6 6 1. 33 0.182







373 A 6 6 1. 33 0.182







374 A 6 6 1. 33 0.182







375 A 7 7 1. 33 0.212







376 A 8 7 1. 33 0.212







377 A 7 7 1. 33 0.212







378 A 7 7 1. 33 0.212







379 A 7 7 1. 33 0.212







380 A 7 7 1. 33 0.212







381 A 8 7 1. 33 0.212







382 A 9 7 1. 33 0.212







383 A 3 3 1. 36 0.083







384 A 3 3 1. 36 0.083







385 A 2 2 1. 36 0.056







386 A 2 2 1. 36 0.056







387 A 3 3 1. 36 0.083







388 A 3 3 1. 36 0.083







389 A 7 7 1. 36 0.194







390 A 6 6 1. 36 0.167







391 A 4 4 1. 36 0.111







392 A 2 2 1. 36 0.056







393 A 6 6 1. 36 0.167







394 A 8 8 1. 36 0.222







395 A 8 8 1. 35 0.229







396 A 7 7 1. 35 0.2







397 A 6 6 1. 35 0.171







398 A 5 5 1. 35 0.143







399 A 4 4 1. 35 0.114







400 A 5 5 1. 35 0.143







401 A 6 5 1. 35 0.143







402 A 9 8 1. 35 0.229







403 A 8 8 1. 35 0.229







404 A 7 7 1. 35 0.2







405 A 7 7 1. 35 0.2







406 A 6 6 1. 35 0.171







407 A 5 5 1. 35 0.143







408 A 6 5 1. 35 0.143







409 A 7 5 1. 35 0.143







410 A 10 8 1. 35 0.229







411 A 9 8 1. 35 0.229







412 A 8 8 1. 35 0.229







413 A 8 8 1. 35 0.229







414 A 8 8 1. 35 0.229







415 A 7 7 1. 35 0.2







416 A 6 6 1. 35 0.171







417 A 7 6 1. 35 0.171







418 A 8 6 1. 35 0.171







419 A 6 6 1. 43 0.14







420 A 7 7 1. 35 0.2







421 A 7 7 1. 35 0.2







422 A 3 3 1. 35 0.086







423 A 3 3 1. 35 0.086







424 A 4 4 1. 35 0.114







425 A 5 5 1. 35 0.143







426 A 7 7 1. 35 0.2







427 A 6 6 1. 35 0.171







428 A 4 4 1. 35 0.114







429 A 4 4 1. 35 0.114







430 A 5 5 1. 35 0.143







431 A 8 8 1. 35 0.229







432 A 7 7 1. 35 0.2







433 A 5 5 1. 35 0.143







434 A 5 5 1. 35 0.143







435 A 5 5 1. 35 0.143







436 A 6 5 1. 35 0.143







437 A 9 9 1. 38 0.237







438 A 2 2 1. 38 0.053







439 A 2 2 1. 38 0.053







440 A 4 4 1. 38 0.105







441 A 1 1 1. 33 0.03







442 A 1 1 1. 33 0.03







443 A 2 2 1. 33 0.061







444 A 2 2 1. 33 0.061







445 A 1 1 1. 33 0.03







446 A 1 1 1. 33 0.03







447 A 2 2 1. 33 0.061







448 A 2 2 1. 33 0.061







449 A 0 0 0. 0 0.







450 A 7 6 1. 33 0.182







451 A 6 5 1. 33 0.152







452 A 5 4 1. 33 0.121







453 A 5 4 1. 31 0.129







454 A 7 5 1. 33 0.152







455 A 0 0 0. 0 0.







456 A 0 0 0. 0 0.







457 A 0 0 0. 0 0.







458 A 0 0 0. 0 0.







459 A 9 7 1. 31 0.226







460 A 8 7 1. 31 0.226







461 A 7 6 1. 31 0.194







462 A 7 6 1. 31 0.194







463 A 8 7 1. 31 0.226







464 A 9 7 1. 31 0.226







465 A 9 8 1. 33 0.242







466 A 8 7 1. 33 0.212







467 A 8 7 1. 33 0.212







468 A 8 7 1. 33 0.212







469 A 9 8 1. 33 0.242







470 A 10 8 1. 33 0.242







471 A 9 7 1. 33 0.212







472 A 9 8 1. 33 0.242







473 A 9 7 1. 33 0.212







474 A 9 7 1. 33 0.212







475 A 10 8 1. 33 0.242







476 A 9 7 1. 33 0.212







477 A 8 7 1. 33 0.212







478 A 7 6 1. 33 0.182







479 A 7 6 1. 33 0.182







480 A 8 7 1. 33 0.212







481 A 9 7 1. 33 0.212







482 A 9 7 1. 33 0.212







483 A 8 6 1. 33 0.182







484 A 8 7 1. 33 0.212







485 A 8 6 1. 33 0.182







486 A 9 7 1. 33 0.212







487 A 10 7 1. 33 0.212







488 A 9 6 1. 33 0.182







489 A 9 7 1. 33 0.212







490 A 9 7 1. 33 0.212







491 A 9 6 1. 33 0.182







492 A 10 7 1. 33 0.212







493 A 6 4 1. 35 0.114







494 A 5 4 1. 35 0.114







495 A 4 4 1. 35 0.114







496 A 3 3 1. 35 0.086







497 A 4 4 1. 35 0.114







498 A 4 4 1. 35 0.114







499 A 5 5 1. 35 0.143







500 A 6 5 1. 35 0.143







501 A 7 5 1. 35 0.143







502 A 6 5 1. 35 0.143







503 A 5 5 1. 35 0.143







504 A 4 4 1. 35 0.114







505 A 5 5 1. 35 0.143







506 A 5 5 1. 35 0.143







507 A 5 5 1. 35 0.143







508 A 6 6 1. 35 0.171







509 A 7 6 1. 35 0.171







510 A 8 5 1. 35 0.143







511 A 7 5 1. 35 0.143







512 A 6 5 1. 35 0.143







513 A 5 4 1. 35 0.114







514 A 6 5 1. 35 0.143







515 A 6 5 1. 35 0.143







516 A 6 6 1. 35 0.171







517 A 6 5 1. 35 0.143







518 A 7 6 1. 35 0.171







519 A 8 6 1. 35 0.171







520 A 9 5 1. 35 0.143







521 A 8 5 1. 35 0.143







522 A 7 5 1. 35 0.143







523 A 6 5 1. 35 0.143







524 A 5 5 1. 35 0.143







525 A 6 6 1. 35 0.171







526 A 7 7 1. 35 0.2







527 A 8 7 1. 35 0.2







528 A 7 7 1. 54 0.13







529 A 9 6 1. 35 0.171







530 A 8 6 1. 35 0.171







531 A 7 6 1. 35 0.171







532 A 6 6 1. 35 0.171







533 A 5 5 1. 35 0.143







534 A 7 7 1. 35 0.2







535 A 8 8 1. 35 0.229







536 A 9 6 1. 35 0.171







537 A 8 6 1. 35 0.171







538 A 7 6 1. 35 0.171







539 A 6 5 1. 35 0.143







540 A 6 6 1. 35 0.171







541 A 8 7 1. 35 0.2







542 A 9 8 1. 35 0.229







543 A 9 6 1. 35 0.171







544 A 8 6 1. 35 0.171







545 A 7 5 1. 35 0.143







546 A 7 6 1. 35 0.171







547 A 7 6 1. 35 0.171







548 A 9 7 1. 35 0.2







549 A 10 8 1. 35 0.229







550 A 9 7 1. 31 0.226







551 A 8 7 1. 31 0.226







552 A 7 6 1. 31 0.194







553 A 7 6 1. 31 0.194







554 A 8 7 1. 31 0.226







555 A 9 7 1. 31 0.226







556 A 9 8 1. 33 0.242







557 A 8 7 1. 33 0.212







558 A 8 7 1. 33 0.212







559 A 8 7 1. 33 0.212







560 A 9 8 1. 33 0.242







561 A 10 9 1. 33 0.273







562 A 9 8 1. 33 0.242







563 A 9 8 1. 33 0.242







564 A 9 8 1. 33 0.242







565 A 9 8 1. 33 0.242







566 A 10 9 1. 33 0.273







567 A 11 10 1. 33 0.303







568 A 8 8 1. 33 0.242







569 A 6 6 1. 33 0.182







570 A 8 8 1. 33 0.242







571 A 10 9 1. 33 0.273







572 A 12 10 1. 33 0.303







573 A 11 10 1. 33 0.303







574 A 10 9 1. 33 0.273







575 A 10 9 1. 33 0.273







576 A 10 9 1. 33 0.273







577 A 11 10 1. 33 0.303







578 A 12 11 1. 33 0.333







579 A 11 10 1. 33 0.303







580 A 11 10 1. 33 0.303







581 A 11 10 1. 33 0.303







582 A 11 10 1. 33 0.303







583 A 12 11 1. 33 0.333







584 A 4 4 1. 36 0.111







585 A 4 4 1. 36 0.111







586 A 3 3 1. 36 0.083







587 A 3 3 1. 36 0.083







588 A 4 4 1. 36 0.111







589 A 4 4 1. 36 0.111







590 A 7 6 1. 35 0.171







591 A 6 6 1. 35 0.171







592 A 5 5 1. 35 0.143







593 A 6 6 1. 35 0.171







594 A 7 7 1. 35 0.2







595 A 8 8 1. 35 0.229







596 A 9 9 1. 35 0.257







597 A 8 6 1. 35 0.171







598 A 7 6 1. 35 0.171







599 A 6 6 1. 35 0.171







600 A 7 7 1. 35 0.2







601 A 8 8 1. 35 0.229







602 A 8 8 1. 35 0.229







603 A 9 9 1. 35 0.257







604 A 10 9 1. 35 0.257







605 A 9 7 1. 35 0.2







606 A 8 7 1. 35 0.2







607 A 7 7 1. 35 0.2







608 A 8 8 1. 35 0.229







609 A 9 9 1. 35 0.257







610 A 9 9 1. 35 0.257







611 A 9 9 1. 35 0.257







612 A 10 9 1. 35 0.257







613 A 11 9 1. 35 0.257







614 A 6 6 1. 35 0.171







615 A 5 5 1. 35 0.143







616 A 4 4 1. 35 0.114







617 A 4 4 1. 35 0.114







618 A 8 8 1. 35 0.229







619 A 8 8 1. 35 0.229







620 A 6 6 1. 35 0.171







621 A 5 5 1. 35 0.143







622 A 5 5 1. 35 0.143







623 A 7 7 1. 35 0.2







624 A 8 8 1. 35 0.229







625 A 7 6 1. 35 0.171







626 A 6 6 1. 35 0.171







627 A 6 6 1. 35 0.171







628 A 6 6 1. 35 0.171







629 A 8 8 1. 35 0.229







630 A 9 9 1. 35 0.257







631 A 5 5 1. 38 0.132







632 A 3 3 1. 38 0.079







633 A 3 3 1. 38 0.079







634 A 10 10 1. 38 0.263







635 A 0 0 0. 0 0.







636 A 10 8 1. 33 0.242







637 A 9 7 1. 33 0.212







638 A 8 6 1. 33 0.182







639 A 7 5 1. 31 0.161







640 A 10 8 1. 33 0.242







641 A 0 0 0. 0 0.







642 A 0 0 0. 0 0.







643 A 0 0 0. 0 0.







644 A 0 0 0. 0 0.