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 }

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, 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, 58, 59, 60, 61, 62, 63, 68, 69, 70, 71, 72, 73, 78, 79, 80, 81, 87, 94, 101, 102, 103, 110, 111, 112, 113, 118, 119, 120, 121, 122, 123, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 155, 160, 161, 162, 179, 180, 181, 182, 183, 184, 185, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 256, 257, 258, 259, 260, 261, 264, 265, 266, 267, 268, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 306, 307, 308, 309, 310, 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, 344, 345, 346, 347, 350, 351, 358, 372, 373, 374, 379, 380, 391, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 416, 417, 418, 419, 420, 422, 427, 428, 429, 430, 433, 434, 437, 438, 439, 440, 445, 446, 447, 453, 454, 455, 458, 459, 460, 461, 464, 465, 466, 467, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 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, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593 }

B grade: { 55, 56, 57, 64, 65, 66, 67, 74, 75, 76, 77, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 104, 105, 106, 107, 108, 109, 114, 115, 116, 117, 135, 255, 262, 263, 269, 270, 271, 272, 273, 274, 275, 297, 305, 311, 312, 341, 342, 343, 348, 349, 354, 355, 356, 357, 359, 360, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 377, 378, 382, 384, 385, 386, 387, 388, 390, 392, 415, 421, 423, 424, 425, 426, 431, 432, 560, 561, 578 }

C grade: { 124, 125, 126, 141, 142, 143, 149, 156, 157, 158, 159, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 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, 352, 353, 361, 375, 376, 381, 383, 389, 435, 436, 441, 442, 443, 444, 448, 449, 450, 451, 452, 456, 457, 462, 463, 468, 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, 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 }

F grade: { }

2.1.3 Maple

A grade: { 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, 85, 86, 87, 92, 93, 94, 95, 96, 97, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 127, 128, 129, 135, 136, 137, 167, 168, 182, 185, 190, 191, 192, 198, 199, 200, 203, 204, 205, 206, 207, 208, 211, 212, 213, 214, 215, 218, 219, 220, 221, 222, 223, 228, 229, 230, 235, 236, 237, 238, 244, 245, 246, 247, 251, 252, 253, 254, 260, 261, 268, 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, 314, 315, 323, 331, 332, 338, 339, 340, 345, 347, 374, 396, 399, 416, 417, 418, 419, 474, 475, 476, 477, 478, 489, 490, 496, 497, 498, 499, 500, 502, 509, 515, 516, 517, 518, 523, 524, 525, 526, 527, 532, 533, 534, 535, 541, 542, 543, 544, 545, 548, 549, 550, 551, 552, 555, 556, 557, 558, 576, 577 }

B grade: { 82, 83, 84, 88, 89, 90, 91, 98, 122, 123, 124, 125, 126, 130, 131, 132, 133, 134, 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, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 183, 184, 186, 187, 188, 189, 193, 194, 195, 196, 197, 201, 202, 209, 210, 216, 217, 224, 225, 226, 227, 231, 232, 233, 234, 239, 240, 241, 242, 243, 248, 249, 250, 255, 256, 257, 258, 259, 262, 263, 264, 265, 266, 267, 311, 312, 313, 316, 317, 318, 319, 320, 321, 322, 324, 325, 326, 327, 328, 329, 330, 333, 334, 335, 336, 337, 341, 342, 343, 344, 346, 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, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 397, 398, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 438, 439, 440, 445, 446, 447, 453, 454, 455, 459, 460, 461, 464, 465, 466, 467, 469, 470, 471, 472, 473, 483, 484, 485, 486, 487, 488, 491, 492, 493, 494, 495, 501, 503, 504, 505, 506, 507, 508, 510, 511, 512, 513, 514, 519, 520, 521, 522, 528, 529, 530, 531, 536, 537, 538, 539, 540, 546, 547, 553, 554, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 600, 601, 602, 607, 608, 609, 615, 616, 617, 621, 622, 623, 624, 628, 629, 630, 631, 632 }

C grade: { 1, 2, 3, 4, 5, 6, 435, 436, 437, 441, 442, 443, 444, 448, 449, 450, 451, 452, 456, 457, 458, 462, 463, 468, 597, 598, 599, 603, 604, 605, 606, 610, 611, 612, 613, 614, 618, 619, 620, 625, 626, 627, 633, 634 }

F grade: { 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, 269, 270, 271, 272, 273, 274, 275, 276, 479, 480, 481, 482 }

2.1.4 Maxima

A grade: { 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 65, 66, 67, 68, 69, 70, 71, 75, 76, 77, 78, 79, 80, 81, 93, 94, 95, 99, 100, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 228, 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, 347, 474, 475, 476, 477, 478, 518, 544

B grade: { 62, 63, 64, 72, 73, 74, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 96, 97, 98, 107, 122, 123, 124, 125, 126, 130, 131, 138, 139, 224, 225, 226, 227, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 256, 259, 265, 515, 516, 517, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 538, 539, 540, 541, 542, 543, 545, 546, 547, 550, 551, 553, 558, 559 }

C grade: { }

F 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, 118, 119, 120, 121, 127, 128, 129, 132, 133, 134, 135, 136, 137, 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, 242, 243, 255, 257, 258, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 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, 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, 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, 537, 548, 549, 552, 554, 555, 556, 557, 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 }

2.1.5 FriCAS

A grade: { 43, 44, 45, 46, 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, 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, 157, 158, 159, 160, 161, 162, 163, 165, 166, 167, 168, 169, 170, 172, 173, 174, 176, 177, 178, 224, 225, 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, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 277, 278, 279, 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, 314, 315, 316, 317, 318, 319, 323, 326, 327, 344, 345, 346, 347, 478, 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 }

B grade: { 47, 84, 155, 156, 164, 171, 175, 226, 227, 257, 263, 280, 311, 312, 313, 320, 321, 322, 324, 325, 328, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343 }

C grade: { }

F 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, 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, 269, 270, 271, 272, 273, 274, 275, 276, 336, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 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 }

2.1.6 Sympy

A grade: { 47, 280, 345, 474, 475, 476, 477 }

B grade: { }

C grade: { }

F 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, 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, 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, 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, 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 }

2.1.7 Giac

A grade: { 43, 44, 45, 50, 51, 52, 53, 54, 55, 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, 127, 128, 129, 135, 136, 137, 144, 145, 146, 152, 153, 154, 160, 161, 162, 163, 171, 173, 174, 175, 176, 177, 178, 298, 307, 313, 314, 315, 316, 317, 320, 322, 323, 324, 326, 327, 334, 346, 347, 474, 475, 476, 477, 478 }

B grade: { 46, 47, 48, 49, 56, 57, 121, 123, 124, 125, 126, 131, 132, 133, 134, 139, 140, 141, 142, 143, 147, 148, 149, 150, 151, 155, 156, 164, 172, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309, 310, 311, 312, 318, 319, 321, 325, 328, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345 }

C grade: { 167, 168, 169, 170 }

F 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, 122, 130, 138, 157, 158, 159, 165, 166, 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, 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, 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 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 99 518 0 0 0 0
normalized size 1 1. 0.58 3.03 0. 0. 0. 0.
time (sec) N/A 0.119 0.476 0.275 0. 0. 0. 0.


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 87 500 0 0 0 0
normalized size 1 1. 0.64 3.68 0. 0. 0. 0.
time (sec) N/A 0.101 0.275 0.252 0. 0. 0. 0.


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 73 453 0 0 0 0
normalized size 1 1. 0.7 4.36 0. 0. 0. 0.
time (sec) N/A 0.082 0.12 0.287 0. 0. 0. 0.


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 54 445 0 0 0 0
normalized size 1 1. 0.66 5.43 0. 0. 0. 0.
time (sec) N/A 0.068 0.088 0.238 0. 0. 0. 0.


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 86 470 0 0 0 0
normalized size 1 1. 0.74 4.05 0. 0. 0. 0.
time (sec) N/A 0.091 0.181 0.216 0. 0. 0. 0.


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 88 482 0 0 0 0
normalized size 1 1. 0.6 3.28 0. 0. 0. 0.
time (sec) N/A 0.104 0.508 0.198 0. 0. 0. 0.


















Problem 7 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 119 119 90 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.256 0.117 0. 0. 0. 0.


















Problem 8 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 116 116 91 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.118 0.105 0. 0. 0. 0.


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 88 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.087 0.107 0. 0. 0. 0.


















Problem 10 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 115 115 88 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.093 0.237 0. 0. 0. 0.


















Problem 11 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 119 119 88 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.121 0.138 0.358 0. 0. 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 90 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.303 0.118 0. 0. 0. 0.


















Problem 13 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 116 116 91 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.149 0.105 0. 0. 0. 0.


















Problem 14 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 112 112 88 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.111 0.107 0. 0. 0. 0.


















Problem 15 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 115 115 87 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.112 0.177 0. 0. 0. 0.


















Problem 16 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 119 119 88 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.096 0.412 0. 0. 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 90 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.253 0.117 0. 0. 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 90 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.114 0.108 0. 0. 0. 0.


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 87 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.093 0.15 0. 0. 0. 0.


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 90 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.026 0.007 0. 0. 0. 0.


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 90 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.023 0.006 0. 0. 0. 0.


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 91 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.236 0.121 0. 0. 0. 0.


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 91 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.099 0.137 0. 0. 0. 0.


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 87 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.145 0.109 0. 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 91 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.093 0.076 0.004 0. 0. 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 91 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.172 0.008 0. 0. 0. 0.


















Problem 27 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 167 167 140 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.382 0.15 0. 0. 0. 0.


















Problem 28 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 165 165 140 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.215 0.143 0. 0. 0. 0.


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 140 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.267 0.142 0. 0. 0. 0.


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 140 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.245 0.138 0. 0. 0. 0.


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 140 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.233 0.138 0. 0. 0. 0.


















Problem 32 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 173 173 140 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.334 0.131 0. 0. 0. 0.


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 126 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.213 0.995 0. 0. 0. 0.


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 119 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.221 0.924 0. 0. 0. 0.


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 119 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.248 0.842 0. 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 107 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.15 0.605 0. 0. 0. 0.


















Problem 37 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 151 151 107 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.158 0.897 0. 0. 0. 0.


















Problem 38 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 153 153 114 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.142 0.316 0.894 0. 0. 0. 0.


















Problem 39 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 163 163 140 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.27 0.186 0. 0. 0. 0.


















Problem 40 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 163 163 140 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.233 0.179 0. 0. 0. 0.


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 135 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.113 0.353 0.188 0. 0. 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 140 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.113 0.315 0.177 0. 0. 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 87 213 270 381 0 289
normalized size 1 1. 0.65 1.59 2.01 2.84 0. 2.16
time (sec) N/A 0.141 0.744 0.045 0.985 0.497 0. 1.367


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 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 0.123 0.389 0.041 0.982 0.492 0. 1.285


















Problem 45 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 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 0.115 0.325 0.039 0.967 0.485 0. 1.261


















Problem 46 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 56 56 75 86 119 239 0 167
normalized size 1 1. 1.34 1.54 2.12 4.27 0. 2.98
time (sec) N/A 0.067 0.026 0.035 0.965 0.48 0. 1.345


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 43 65 76 220 71 113
normalized size 1 1. 1.34 2.03 2.38 6.88 2.22 3.53
time (sec) N/A 0.033 0.016 0.032 1. 0.489 13.457 1.257


















Problem 48 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 78 139 0 107
normalized size 1 1. 1.44 1.75 2.44 4.34 0. 3.34
time (sec) N/A 0.047 0.027 0.064 1.022 0.487 0. 1.241


















Problem 49 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 47 47 44 57 74 99 0 126
normalized size 1 1. 0.94 1.21 1.57 2.11 0. 2.68
time (sec) N/A 0.086 0.096 0.065 0.98 0.459 0. 1.27


















Problem 50 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 77 77 65 85 107 146 0 167
normalized size 1 1. 0.84 1.1 1.39 1.9 0. 2.17
time (sec) N/A 0.108 0.169 0.074 0.982 0.465 0. 1.445


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 75 107 136 193 0 211
normalized size 1 1. 0.77 1.1 1.4 1.99 0. 2.18
time (sec) N/A 0.119 0.237 0.081 0.978 0.474 0. 1.279


















Problem 52 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 125 125 77 128 167 239 0 248
normalized size 1 1. 0.62 1.02 1.34 1.91 0. 1.98
time (sec) N/A 0.134 0.243 0.094 0.988 0.479 0. 1.242


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 280 235 375 421 0 332
normalized size 1 1. 1.66 1.39 2.22 2.49 0. 1.96
time (sec) N/A 0.244 1.333 0.05 1.003 0.496 0. 1.347


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 262 187 311 362 0 286
normalized size 1 1. 1.9 1.36 2.25 2.62 0. 2.07
time (sec) N/A 0.228 1.172 0.043 1.009 0.494 0. 1.364


















Problem 55 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 103 103 481 141 225 315 0 240
normalized size 1 1. 4.67 1.37 2.18 3.06 0. 2.33
time (sec) N/A 0.113 6.109 0.039 0.996 0.494 0. 1.25


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 307 113 173 297 0 208
normalized size 1 1. 3.74 1.38 2.11 3.62 0. 2.54
time (sec) N/A 0.084 1.255 0.038 0.98 0.496 0. 1.435


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 258 107 142 278 0 212
normalized size 1 1. 3.53 1.47 1.95 3.81 0. 2.9
time (sec) N/A 0.13 1.605 0.062 1.026 0.495 0. 1.268


















Problem 58 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 88 88 96 108 136 194 0 196
normalized size 1 1. 1.09 1.23 1.55 2.2 0. 2.23
time (sec) N/A 0.145 0.159 0.076 0.994 0.496 0. 1.354


















Problem 59 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 102 102 61 116 149 165 0 192
normalized size 1 1. 0.6 1.14 1.46 1.62 0. 1.88
time (sec) N/A 0.153 0.172 0.078 1.013 0.463 0. 1.403


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 86 154 194 213 0 238
normalized size 1 1. 0.64 1.14 1.44 1.58 0. 1.76
time (sec) N/A 0.231 0.355 0.087 1.01 0.474 0. 1.212


















Problem 61 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 160 160 108 186 240 271 0 284
normalized size 1 1. 0.68 1.16 1.5 1.69 0. 1.78
time (sec) N/A 0.252 0.476 0.094 1.014 0.48 0. 1.303


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 346 281 547 485 0 378
normalized size 1 1. 1.65 1.34 2.6 2.31 0. 1.8
time (sec) N/A 0.399 2.041 0.057 1.029 0.507 0. 1.395


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 294 234 455 431 0 332
normalized size 1 1. 1.8 1.44 2.79 2.64 0. 2.04
time (sec) N/A 0.268 1.474 0.049 1.017 0.501 0. 1.341


















Problem 64 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 125 125 273 188 354 366 0 286
normalized size 1 1. 2.18 1.5 2.83 2.93 0. 2.29
time (sec) N/A 0.143 1.293 0.048 1. 0.492 0. 1.355


















Problem 65 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 111 111 1056 158 267 356 0 255
normalized size 1 1. 9.51 1.42 2.41 3.21 0. 2.3
time (sec) N/A 0.144 6.387 0.046 0.995 0.502 0. 1.327


















Problem 66 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 108 108 335 144 223 342 0 259
normalized size 1 1. 3.1 1.33 2.06 3.17 0. 2.4
time (sec) N/A 0.238 2.526 0.073 0.989 0.504 0. 1.384


















Problem 67 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 117 117 302 145 189 323 0 259
normalized size 1 1. 2.58 1.24 1.62 2.76 0. 2.21
time (sec) N/A 0.264 4.602 0.078 1.001 0.503 0. 1.424


















Problem 68 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 125 125 113 153 200 254 0 243
normalized size 1 1. 0.9 1.22 1.6 2.03 0. 1.94
time (sec) N/A 0.271 0.239 0.084 1.025 0.501 0. 1.375


















Problem 69 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 124 124 86 176 225 216 0 238
normalized size 1 1. 0.69 1.42 1.81 1.74 0. 1.92
time (sec) N/A 0.17 0.27 0.086 1. 0.482 0. 1.346


















Problem 70 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 176 176 108 223 288 278 0 284
normalized size 1 1. 0.61 1.27 1.64 1.58 0. 1.61
time (sec) N/A 0.372 0.433 0.096 1.034 0.484 0. 1.296


















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 201 201 134 266 354 332 0 329
normalized size 1 1. 0.67 1.32 1.76 1.65 0. 1.64
time (sec) N/A 0.41 0.536 0.1 1.003 0.491 0. 1.451


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 358 280 626 481 0 378
normalized size 1 1. 1.85 1.44 3.23 2.48 0. 1.95
time (sec) N/A 0.318 2.234 0.054 1.005 0.512 0. 1.363


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 306 234 498 431 0 332
normalized size 1 1. 1.92 1.47 3.13 2.71 0. 2.09
time (sec) N/A 0.179 1.615 0.056 1.032 0.499 0. 1.249


















Problem 74 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 151 151 326 204 396 408 0 301
normalized size 1 1. 2.16 1.35 2.62 2.7 0. 1.99
time (sec) N/A 0.214 1.757 0.055 1.042 0.512 0. 1.34


















Problem 75 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 151 151 1202 189 317 405 0 306
normalized size 1 1. 7.96 1.25 2.1 2.68 0. 2.03
time (sec) N/A 0.368 6.45 0.084 1.013 0.51 0. 1.342


















Problem 76 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 160 160 373 182 269 390 0 311
normalized size 1 1. 2.33 1.14 1.68 2.44 0. 1.94
time (sec) N/A 0.39 4.835 0.086 1.032 0.513 0. 1.4


















Problem 77 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 165 165 342 190 252 383 0 305
normalized size 1 1. 2.07 1.15 1.53 2.32 0. 1.85
time (sec) N/A 0.41 1.85 0.081 1.043 0.514 0. 1.304


















Problem 78 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 173 173 138 199 277 306 0 289
normalized size 1 1. 0.8 1.15 1.6 1.77 0. 1.67
time (sec) N/A 0.403 0.34 0.091 1.03 0.511 0. 1.318


















Problem 79 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 158 158 108 248 319 279 0 284
normalized size 1 1. 0.68 1.57 2.02 1.77 0. 1.8
time (sec) N/A 0.202 0.326 0.095 1.027 0.486 0. 1.331


















Problem 80 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 220 220 134 306 401 329 0 329
normalized size 1 1. 0.61 1.39 1.82 1.5 0. 1.5
time (sec) N/A 0.532 0.585 0.107 1.016 0.492 0. 1.401


















Problem 81 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 241 241 156 358 481 396 0 375
normalized size 1 1. 0.65 1.49 2. 1.64 0. 1.56
time (sec) N/A 0.567 0.696 0.116 1.032 0.504 0. 1.444


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 489 340 497 417 0 246
normalized size 1 1. 3.73 2.6 3.79 3.18 0. 1.88
time (sec) N/A 0.171 5.953 0.06 1.051 0.493 0. 1.349


















Problem 83 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 108 108 311 252 381 386 0 211
normalized size 1 1. 2.88 2.33 3.53 3.57 0. 1.95
time (sec) N/A 0.163 3.518 0.055 1.009 0.49 0. 1.334


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 224 163 265 319 0 147
normalized size 1 1. 3.61 2.63 4.27 5.15 0. 2.37
time (sec) N/A 0.117 1.195 0.044 1.01 0.482 0. 1.326


















Problem 85 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 43 43 109 78 134 197 0 95
normalized size 1 1. 2.53 1.81 3.12 4.58 0. 2.21
time (sec) N/A 0.082 0.252 0.044 0.98 0.47 0. 1.333


















Problem 86 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 35 35 72 56 99 105 0 59
normalized size 1 1. 2.06 1.6 2.83 3. 0. 1.69
time (sec) N/A 0.059 0.138 0.05 1.469 0.451 0. 1.185


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 76 108 193 149 0 107
normalized size 1 1. 1.27 1.8 3.22 2.48 0. 1.78
time (sec) N/A 0.109 0.37 0.076 1.493 0.46 0. 1.282


















Problem 88 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 98 98 197 211 304 203 0 166
normalized size 1 1. 2.01 2.15 3.1 2.07 0. 1.69
time (sec) N/A 0.15 0.444 0.082 1.448 0.466 0. 1.297


















Problem 89 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 122 122 249 281 419 243 0 204
normalized size 1 1. 2.04 2.3 3.43 1.99 0. 1.67
time (sec) N/A 0.159 0.668 0.083 1.669 0.472 0. 1.221


















Problem 90 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 179 179 764 382 574 616 0 305
normalized size 1 1. 4.27 2.13 3.21 3.44 0. 1.7
time (sec) N/A 0.321 6.352 0.065 1.013 0.506 0. 1.351


















Problem 91 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 156 156 496 294 454 566 0 267
normalized size 1 1. 3.18 1.88 2.91 3.63 0. 1.71
time (sec) N/A 0.306 4.057 0.063 1.017 0.496 0. 1.415


















Problem 92 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 108 108 292 205 329 501 0 204
normalized size 1 1. 2.7 1.9 3.05 4.64 0. 1.89
time (sec) N/A 0.257 1.684 0.053 1.022 0.491 0. 1.37


















Problem 93 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 79 169 119 196 338 0 151
normalized size 1 1. 2.14 1.51 2.48 4.28 0. 1.91
time (sec) N/A 0.187 0.532 0.051 0.984 0.478 0. 1.302


















Problem 94 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 65 65 76 60 126 144 0 81
normalized size 1 1. 1.17 0.92 1.94 2.22 0. 1.25
time (sec) N/A 0.08 0.199 0.049 0.978 0.438 0. 1.239


















Problem 95 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 70 70 153 97 162 228 0 115
normalized size 1 1. 2.19 1.39 2.31 3.26 0. 1.64
time (sec) N/A 0.112 0.349 0.057 1.474 0.451 0. 1.242


















Problem 96 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 98 98 245 149 258 296 0 163
normalized size 1 1. 2.5 1.52 2.63 3.02 0. 1.66
time (sec) N/A 0.23 0.586 0.082 1.491 0.465 0. 1.208


















Problem 97 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 143 143 315 252 382 342 0 221
normalized size 1 1. 2.2 1.76 2.67 2.39 0. 1.55
time (sec) N/A 0.3 0.741 0.091 1.513 0.472 0. 1.266


















Problem 98 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 170 170 369 322 502 389 0 259
normalized size 1 1. 2.17 1.89 2.95 2.29 0. 1.52
time (sec) N/A 0.319 0.714 0.11 1.53 0.481 0. 1.299


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 610 334 509 757 0 315
normalized size 1 1. 3.02 1.65 2.52 3.75 0. 1.56
time (sec) N/A 0.475 6.161 0.075 1.07 0.506 0. 1.345


















Problem 100 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 156 156 480 245 386 668 0 251
normalized size 1 1. 3.08 1.57 2.47 4.28 0. 1.61
time (sec) N/A 0.429 3.979 0.057 1.027 0.498 0. 1.363


















Problem 101 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 125 125 197 159 252 481 0 198
normalized size 1 1. 1.58 1.27 2.02 3.85 0. 1.58
time (sec) N/A 0.315 0.894 0.054 1.03 0.486 0. 1.386


















Problem 102 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 102 102 96 64 155 227 0 101
normalized size 1 1. 0.94 0.63 1.52 2.23 0. 0.99
time (sec) N/A 0.203 0.291 0.052 1.062 0.439 0. 1.212


















Problem 103 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 102 102 135 64 155 227 0 101
normalized size 1 1. 1.32 0.63 1.52 2.23 0. 0.99
time (sec) N/A 0.114 0.324 0.061 1.012 0.445 0. 1.321


















Problem 104 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 108 108 241 137 216 351 0 163
normalized size 1 1. 2.23 1.27 2. 3.25 0. 1.51
time (sec) N/A 0.186 0.567 0.065 1.468 0.461 0. 1.299


















Problem 105 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 136 136 365 189 312 431 0 212
normalized size 1 1. 2.68 1.39 2.29 3.17 0. 1.56
time (sec) N/A 0.367 1.029 0.093 1.49 0.475 0. 1.423


















Problem 106 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 187 187 435 292 435 495 0 270
normalized size 1 1. 2.33 1.56 2.33 2.65 0. 1.44
time (sec) N/A 0.47 0.787 0.101 1.507 0.484 0. 1.275


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 491 362 556 540 0 308
normalized size 1 1. 2.25 1.66 2.55 2.48 0. 1.41
time (sec) N/A 0.495 1.043 0.099 1.51 0.498 0. 1.342


















Problem 108 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 238 238 880 374 566 940 0 360
normalized size 1 1. 3.7 1.57 2.38 3.95 0. 1.51
time (sec) N/A 0.656 6.473 0.069 0.999 0.516 0. 1.391


















Problem 109 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 194 194 754 285 440 837 0 297
normalized size 1 1. 3.89 1.47 2.27 4.31 0. 1.53
time (sec) N/A 0.616 6.386 0.062 1.02 0.504 0. 1.331


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 239 199 308 624 0 244
normalized size 1 1. 1.47 1.22 1.89 3.83 0. 1.5
time (sec) N/A 0.475 1.404 0.06 1.021 0.491 0. 1.241


















Problem 111 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 146 146 109 88 236 311 0 158
normalized size 1 1. 0.75 0.6 1.62 2.13 0. 1.08
time (sec) N/A 0.229 0.34 0.058 1.001 0.445 0. 1.382


















Problem 112 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 138 138 163 88 235 309 0 158
normalized size 1 1. 1.18 0.64 1.7 2.24 0. 1.14
time (sec) N/A 0.265 0.377 0.057 1.007 0.451 0. 1.364


















Problem 113 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 138 138 193 90 236 308 0 158
normalized size 1 1. 1.4 0.65 1.71 2.23 0. 1.14
time (sec) N/A 0.151 0.444 0.059 1.001 0.451 0. 1.276


















Problem 114 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 138 138 329 177 271 475 0 208
normalized size 1 1. 2.38 1.28 1.96 3.44 0. 1.51
time (sec) N/A 0.268 0.755 0.068 1.477 0.471 0. 1.206


















Problem 115 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 166 166 485 229 366 574 0 257
normalized size 1 1. 2.92 1.38 2.2 3.46 0. 1.55
time (sec) N/A 0.573 1.039 0.1 1.527 0.486 0. 1.322


















Problem 116 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 223 223 555 332 491 645 0 315
normalized size 1 1. 2.49 1.49 2.2 2.89 0. 1.41
time (sec) N/A 0.649 1.111 0.1 1.525 0.499 0. 1.48


















Problem 117 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 256 256 611 402 610 701 0 352
normalized size 1 1. 2.39 1.57 2.38 2.74 0. 1.38
time (sec) N/A 0.705 1.628 0.111 1.641 0.509 0. 1.251


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 98 138 0 308 0 362
normalized size 1 1. 0.52 0.74 0. 1.65 0. 1.94
time (sec) N/A 0.338 0.538 0.324 0. 0.474 0. 4.95


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 81 116 0 265 0 300
normalized size 1 1. 0.56 0.81 0. 1.84 0. 2.08
time (sec) N/A 0.277 0.265 0.28 0. 0.471 0. 4.882


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 80 94 0 217 0 238
normalized size 1 1. 0.79 0.93 0. 2.15 0. 2.36
time (sec) N/A 0.228 0.278 0.331 0. 0.464 0. 4.817


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 53 70 0 169 0 174
normalized size 1 1. 0.85 1.13 0. 2.73 0. 2.81
time (sec) N/A 0.094 0.158 0.273 0. 0.462 0. 4.606


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 76 118 198 620 0 0
normalized size 1 1. 1.15 1.79 3. 9.39 0. 0.
time (sec) N/A 0.088 0.301 0.253 1.664 0.512 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 93 198 1268 694 0 450
normalized size 1 1. 1.37 2.91 18.65 10.21 0. 6.62
time (sec) N/A 0.106 0.235 0.292 2.001 0.607 0. 6.473


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 117 398 2499 801 0 851
normalized size 1 1. 1. 3.4 21.36 6.85 0. 7.27
time (sec) N/A 0.177 0.388 0.34 2.339 0.618 0. 6.802


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 70 580 4024 898 0 1156
normalized size 1 1. 0.44 3.62 25.15 5.61 0. 7.22
time (sec) N/A 0.242 0.173 0.405 2.886 0.633 0. 7.136


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 70 762 11557 995 0 1458
normalized size 1 1. 0.34 3.75 56.93 4.9 0. 7.18
time (sec) N/A 0.298 0.171 0.343 4.102 0.715 0. 7.293


















Problem 127 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 189 189 100 139 0 329 0 362
normalized size 1 1. 0.53 0.74 0. 1.74 0. 1.92
time (sec) N/A 0.461 0.735 0.282 0. 0.486 0. 5.126


















Problem 128 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 138 138 82 117 0 279 0 300
normalized size 1 1. 0.59 0.85 0. 2.02 0. 2.17
time (sec) N/A 0.297 0.38 0.241 0. 0.476 0. 5.009


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 70 95 0 225 0 238
normalized size 1 1. 0.69 0.94 0. 2.23 0. 2.36
time (sec) N/A 0.14 0.285 0.227 0. 0.468 0. 5.318


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 102 237 1347 814 0 0
normalized size 1 1. 0.97 2.26 12.83 7.75 0. 0.
time (sec) N/A 0.146 0.571 0.25 1.952 0.528 0. 0.


















Problem 131 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 97 212 2431 755 0 544
normalized size 1 1. 0.94 2.06 23.6 7.33 0. 5.28
time (sec) N/A 0.241 0.423 0.278 2.303 0.616 0. 6.778


















Problem 132 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 119 119 111 399 0 833 0 863
normalized size 1 1. 0.93 3.35 0. 7. 0. 7.25
time (sec) N/A 0.273 0.597 0.296 0. 0.617 0. 7.109


















Problem 133 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 164 164 137 581 0 949 0 1166
normalized size 1 1. 0.84 3.54 0. 5.79 0. 7.11
time (sec) N/A 0.365 0.998 0.365 0. 0.627 0. 7.227


















Problem 134 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 209 209 154 763 0 1049 0 1469
normalized size 1 1. 0.74 3.65 0. 5.02 0. 7.03
time (sec) N/A 0.449 1.301 0.294 0. 0.717 0. 7.8


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 487 163 0 409 0 424
normalized size 1 1. 2.05 0.69 0. 1.73 0. 1.79
time (sec) N/A 0.657 6.166 0.276 0. 0.493 0. 5.738


















Problem 136 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 175 175 96 141 0 346 0 362
normalized size 1 1. 0.55 0.81 0. 1.98 0. 2.07
time (sec) N/A 0.353 0.643 0.254 0. 0.487 0. 5.284


















Problem 137 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 138 138 89 119 0 292 0 300
normalized size 1 1. 0.64 0.86 0. 2.12 0. 2.17
time (sec) N/A 0.184 0.476 0.231 0. 0.48 0. 5.074


















Problem 138 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 142 142 128 341 1885 954 0 0
normalized size 1 1. 0.9 2.4 13.27 6.72 0. 0.
time (sec) N/A 0.223 1.043 0.262 2.086 0.54 0. 0.


















Problem 139 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 143 143 126 256 3753 968 0 644
normalized size 1 1. 0.88 1.79 26.24 6.77 0. 4.5
time (sec) N/A 0.411 0.837 0.292 2.521 0.628 0. 7.159


















Problem 140 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 154 154 116 410 0 890 0 957
normalized size 1 1. 0.75 2.66 0. 5.78 0. 6.21
time (sec) N/A 0.419 0.807 0.325 0. 0.632 0. 7.373


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 312 583 0 976 0 1177
normalized size 1 1. 1.9 3.55 0. 5.95 0. 7.18
time (sec) N/A 0.456 1.045 0.342 0. 0.636 0. 7.649


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 366 765 0 1103 0 1480
normalized size 1 1. 1.75 3.66 0. 5.28 0. 7.08
time (sec) N/A 0.58 1.292 0.285 0. 0.72 0. 8.437


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 416 947 0 1227 0 1782
normalized size 1 1. 1.64 3.73 0. 4.83 0. 7.02
time (sec) N/A 0.654 1.786 0.323 0. 0.737 0. 8.601


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 140 785 0 1116 0 387
normalized size 1 1. 0.69 3.89 0. 5.52 0. 1.92
time (sec) N/A 0.606 0.526 0.34 0. 0.598 0. 9.475


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 123 595 0 1019 0 366
normalized size 1 1. 0.77 3.74 0. 6.41 0. 2.3
time (sec) N/A 0.42 0.374 0.306 0. 0.58 0. 9.607


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 106 405 0 917 0 251
normalized size 1 1. 0.9 3.43 0. 7.77 0. 2.13
time (sec) N/A 0.257 0.293 0.293 0. 0.576 0. 9.417


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 88 200 0 751 0 194
normalized size 1 1. 1.13 2.56 0. 9.63 0. 2.49
time (sec) N/A 0.107 0.166 0.24 0. 0.566 0. 9.196


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 92 194 0 814 0 302
normalized size 1 1. 1.01 2.13 0. 8.95 0. 3.32
time (sec) N/A 0.107 0.281 0.236 0. 2.455 0. 11.281


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 119 119 10104 353 0 1214 0 531
normalized size 1 1. 84.91 2.97 0. 10.2 0. 4.46
time (sec) N/A 0.229 26.457 0.299 0. 3.143 0. 11.284


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 135 717 0 1323 0 876
normalized size 1 1. 0.82 4.35 0. 8.02 0. 5.31
time (sec) N/A 0.369 0.415 0.374 0. 5.703 0. 11.575


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 150 1067 0 1426 0 1142
normalized size 1 1. 0.73 5.18 0. 6.92 0. 5.54
time (sec) N/A 0.555 0.675 0.312 0. 5.722 0. 11.901


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 160 793 0 1315 0 421
normalized size 1 1. 0.74 3.67 0. 6.09 0. 1.95
time (sec) N/A 0.633 2.372 0.299 0. 0.61 0. 9.688


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 141 603 0 1189 0 400
normalized size 1 1. 0.82 3.53 0. 6.95 0. 2.34
time (sec) N/A 0.461 1.366 0.26 0. 0.592 0. 9.465


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 125 405 0 1003 0 257
normalized size 1 1. 1.06 3.43 0. 8.5 0. 2.18
time (sec) N/A 0.259 0.75 0.241 0. 0.576 0. 9.311


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 127 402 0 957 0 208
normalized size 1 1. 1.46 4.62 0. 11. 0. 2.39
time (sec) N/A 0.122 0.799 0.19 0. 0.572 0. 9.226


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 127 127 10115 554 0 1416 0 417
normalized size 1 1. 79.65 4.36 0. 11.15 0. 3.28
time (sec) N/A 0.181 26.548 0.201 0. 7.627 0. 11.323


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 10898 713 0 1575 0 0
normalized size 1 1. 64.11 4.19 0. 9.26 0. 0.
time (sec) N/A 0.405 26.727 0.279 0. 9.971 0. 0.


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 395 1075 0 1673 0 0
normalized size 1 1. 1.79 4.86 0. 7.57 0. 0.
time (sec) N/A 0.583 2.286 0.333 0. 14.673 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 502 1425 0 1789 0 0
normalized size 1 1. 1.87 5.32 0. 6.68 0. 0.
time (sec) N/A 0.78 6.143 0.292 0. 14.712 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 161 795 0 1474 0 420
normalized size 1 1. 0.75 3.68 0. 6.82 0. 1.94
time (sec) N/A 0.655 2.571 0.275 0. 0.614 0. 10.154


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 144 597 0 1273 0 390
normalized size 1 1. 0.85 3.53 0. 7.53 0. 2.31
time (sec) N/A 0.455 1.503 0.259 0. 0.592 0. 9.935


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 131 602 0 1233 0 258
normalized size 1 1. 1.04 4.78 0. 9.79 0. 2.05
time (sec) N/A 0.276 1.574 0.244 0. 0.582 0. 9.836


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 206 594 0 1219 0 258
normalized size 1 1. 1.63 4.71 0. 9.67 0. 2.05
time (sec) N/A 0.165 1.506 0.191 0. 0.589 0. 9.396


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 164 164 10177 824 0 1754 0 471
normalized size 1 1. 62.05 5.02 0. 10.7 0. 2.87
time (sec) N/A 0.254 26.677 0.204 0. 16.161 0. 11.376


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 207 207 10956 1065 0 1948 0 0
normalized size 1 1. 52.93 5.14 0. 9.41 0. 0.
time (sec) N/A 0.558 26.939 0.303 0. 21.255 0. 0.


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 512 1427 0 2059 0 0
normalized size 1 1. 1.94 5.41 0. 7.8 0. 0.
time (sec) N/A 0.79 6.164 0.388 0. 28.205 0. 0.


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 140 120 0 780 0 225
normalized size 1 1. 1.57 1.35 0. 8.76 0. 2.53
time (sec) N/A 0.146 0.538 0.243 0. 0.506 0. 1.884


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 269 155 0 1112 0 346
normalized size 1 1. 2.34 1.35 0. 9.67 0. 3.01
time (sec) N/A 0.221 1.5 0.299 0. 0.528 0. 1.92


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 297 367 0 1188 0 379
normalized size 1 1. 1.92 2.37 0. 7.66 0. 2.45
time (sec) N/A 0.362 1.629 0.345 0. 0.539 0. 2.019


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 330 625 0 1258 0 412
normalized size 1 1. 1.72 3.26 0. 6.55 0. 2.15
time (sec) N/A 0.524 1.888 0.404 0. 0.548 0. 2.217


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 133 322 298 0 1285 0 262
normalized size 1 1.15 2.78 2.57 0. 11.08 0. 2.26
time (sec) N/A 0.2 6.595 0.23 0. 0.531 0. 1.876


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 361 462 0 1345 0 344
normalized size 1 1. 2.47 3.16 0. 9.21 0. 2.36
time (sec) N/A 0.355 6.617 0.283 0. 0.541 0. 2.069


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 408 883 0 1415 0 393
normalized size 1 1. 2.1 4.55 0. 7.29 0. 2.03
time (sec) N/A 0.529 6.665 0.351 0. 0.556 0. 2.174


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 452 1104 0 1490 0 425
normalized size 1 1. 1.92 4.68 0. 6.31 0. 1.8
time (sec) N/A 0.701 6.687 0.326 0. 0.572 0. 2.231


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 185 387 695 0 1544 0 296
normalized size 1 1.22 2.55 4.57 0. 10.16 0. 1.95
time (sec) N/A 0.206 6.739 0.257 0. 0.543 0. 2.031


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 423 788 0 1609 0 393
normalized size 1 1. 2.3 4.28 0. 8.74 0. 2.14
time (sec) N/A 0.505 6.791 0.342 0. 0.556 0. 2.26


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 458 1475 0 1671 0 409
normalized size 1 1. 1.94 6.25 0. 7.08 0. 1.73
time (sec) N/A 0.731 6.815 0.34 0. 0.575 0. 3.159


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 514 1964 0 1744 0 459
normalized size 1 1. 1.84 7.01 0. 6.23 0. 1.64
time (sec) N/A 0.906 6.84 0.44 0. 0.613 0. 3.049


















Problem 179 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 199 199 200 691 0 0 0 0
normalized size 1 1. 1.01 3.47 0. 0. 0. 0.
time (sec) N/A 0.179 0.74 5.554 0. 0. 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 168 662 0 0 0 0
normalized size 1 1. 0.98 3.85 0. 0. 0. 0.
time (sec) N/A 0.165 0.643 5.197 0. 0. 0. 0.


















Problem 181 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 135 135 94 427 0 0 0 0
normalized size 1 1. 0.7 3.16 0. 0. 0. 0.
time (sec) N/A 0.144 0.516 4.205 0. 0. 0. 0.


















Problem 182 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 106 106 77 240 0 0 0 0
normalized size 1 1. 0.73 2.26 0. 0. 0. 0.
time (sec) N/A 0.134 0.299 1.761 0. 0. 0. 0.


















Problem 183 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 110 110 83 321 0 0 0 0
normalized size 1 1. 0.75 2.92 0. 0. 0. 0.
time (sec) N/A 0.13 0.307 1.844 0. 0. 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 99 355 0 0 0 0
normalized size 1 1. 0.7 2.52 0. 0. 0. 0.
time (sec) N/A 0.153 0.563 1.652 0. 0. 0. 0.


















Problem 185 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 172 172 113 383 0 0 0 0
normalized size 1 1. 0.66 2.23 0. 0. 0. 0.
time (sec) N/A 0.161 0.969 1.702 0. 0. 0. 0.


















Problem 186 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 234 234 463 852 0 0 0 0
normalized size 1 1. 1.98 3.64 0. 0. 0. 0.
time (sec) N/A 0.342 4.459 6.524 0. 0. 0. 0.


















Problem 187 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 199 199 321 743 0 0 0 0
normalized size 1 1. 1.61 3.73 0. 0. 0. 0.
time (sec) N/A 0.299 6.285 5.715 0. 0. 0. 0.


















Problem 188 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 160 160 310 513 0 0 0 0
normalized size 1 1. 1.94 3.21 0. 0. 0. 0.
time (sec) N/A 0.278 3.08 2.067 0. 0. 0. 0.


















Problem 189 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 158 158 320 388 0 0 0 0
normalized size 1 1. 2.03 2.46 0. 0. 0. 0.
time (sec) N/A 0.256 2.406 1.832 0. 0. 0. 0.


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F 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 0.26 1.786 1.663 0. 0. 0. 0.


















Problem 191 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 201 201 193 385 0 0 0 0
normalized size 1 1. 0.96 1.92 0. 0. 0. 0.
time (sec) N/A 0.29 2.351 1.915 0. 0. 0. 0.


















Problem 192 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 234 234 217 413 0 0 0 0
normalized size 1 1. 0.93 1.76 0. 0. 0. 0.
time (sec) N/A 0.32 2.944 1.755 0. 0. 0. 0.


















Problem 193 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 277 277 793 1180 0 0 0 0
normalized size 1 1. 2.86 4.26 0. 0. 0. 0.
time (sec) N/A 0.541 6.806 8.211 0. 0. 0. 0.


















Problem 194 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 244 244 465 931 0 0 0 0
normalized size 1 1. 1.91 3.82 0. 0. 0. 0.
time (sec) N/A 0.439 5.137 6.857 0. 0. 0. 0.


















Problem 195 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 211 211 244 916 0 0 0 0
normalized size 1 1. 1.16 4.34 0. 0. 0. 0.
time (sec) N/A 0.416 2.319 5.977 0. 0. 0. 0.


















Problem 196 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 0.409 1.945 2.202 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F 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 0.413 1.695 1.976 0. 0. 0. 0.


















Problem 198 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 211 211 194 385 0 0 0 0
normalized size 1 1. 0.92 1.82 0. 0. 0. 0.
time (sec) N/A 0.437 2.52 1.741 0. 0. 0. 0.


















Problem 199 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 244 244 196 413 0 0 0 0
normalized size 1 1. 0.8 1.69 0. 0. 0. 0.
time (sec) N/A 0.477 2.785 1.717 0. 0. 0. 0.


















Problem 200 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 277 277 239 441 0 0 0 0
normalized size 1 1. 0.86 1.59 0. 0. 0. 0.
time (sec) N/A 0.51 3.492 1.659 0. 0. 0. 0.


















Problem 201 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 229 229 814 806 0 0 0 0
normalized size 1 1. 3.55 3.52 0. 0. 0. 0.
time (sec) N/A 0.248 7.512 6.423 0. 0. 0. 0.


















Problem 202 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 192 192 372 493 0 0 0 0
normalized size 1 1. 1.94 2.57 0. 0. 0. 0.
time (sec) N/A 0.227 3.299 5.281 0. 0. 0. 0.


















Problem 203 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 153 153 420 318 0 0 0 0
normalized size 1 1. 2.75 2.08 0. 0. 0. 0.
time (sec) N/A 0.186 4.372 3.819 0. 0. 0. 0.


















Problem 204 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 123 123 200 243 0 0 0 0
normalized size 1 1. 1.63 1.98 0. 0. 0. 0.
time (sec) N/A 0.171 1.128 1.793 0. 0. 0. 0.


















Problem 205 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 128 128 445 244 0 0 0 0
normalized size 1 1. 3.48 1.91 0. 0. 0. 0.
time (sec) N/A 0.178 2.631 1.739 0. 0. 0. 0.


















Problem 206 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 164 164 232 262 0 0 0 0
normalized size 1 1. 1.41 1.6 0. 0. 0. 0.
time (sec) N/A 0.194 2.363 1.688 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 540 282 0 0 0 0
normalized size 1 1. 2.74 1.43 0. 0. 0. 0.
time (sec) N/A 0.213 3.755 1.807 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 568 300 0 0 0 0
normalized size 1 1. 2.47 1.3 0. 0. 0. 0.
time (sec) N/A 0.23 3.938 1.687 0. 0. 0. 0.


















Problem 209 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 237 237 865 750 0 0 0 0
normalized size 1 1. 3.65 3.16 0. 0. 0. 0.
time (sec) N/A 0.371 7.809 6.082 0. 0. 0. 0.


















Problem 210 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 204 204 455 492 0 0 0 0
normalized size 1 1. 2.23 2.41 0. 0. 0. 0.
time (sec) N/A 0.345 6.64 2.295 0. 0. 0. 0.


















Problem 211 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 161 161 256 350 0 0 0 0
normalized size 1 1. 1.59 2.17 0. 0. 0. 0.
time (sec) N/A 0.303 2.604 1.937 0. 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F 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 0.31 3.242 1.894 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 854 421 0 0 0 0
normalized size 1 1. 4.82 2.38 0. 0. 0. 0.
time (sec) N/A 0.326 6.752 2.047 0. 0. 0. 0.


















Problem 214 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 211 211 899 435 0 0 0 0
normalized size 1 1. 4.26 2.06 0. 0. 0. 0.
time (sec) N/A 0.357 6.801 1.951 0. 0. 0. 0.


















Problem 215 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 244 244 946 465 0 0 0 0
normalized size 1 1. 3.88 1.91 0. 0. 0. 0.
time (sec) N/A 0.382 6.907 2.023 0. 0. 0. 0.


















Problem 216 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 292 292 953 876 0 0 0 0
normalized size 1 1. 3.26 3. 0. 0. 0. 0.
time (sec) N/A 0.56 7.963 2.949 0. 0. 0. 0.


















Problem 217 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 261 261 924 685 0 0 0 0
normalized size 1 1. 3.54 2.62 0. 0. 0. 0.
time (sec) N/A 0.536 7.248 2.524 0. 0. 0. 0.


















Problem 218 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 220 220 919 451 0 0 0 0
normalized size 1 1. 4.18 2.05 0. 0. 0. 0.
time (sec) N/A 0.49 6.885 2.099 0. 0. 0. 0.


















Problem 219 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 216 216 918 451 0 0 0 0
normalized size 1 1. 4.25 2.09 0. 0. 0. 0.
time (sec) N/A 0.484 6.868 2.077 0. 0. 0. 0.


















Problem 220 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 222 222 919 451 0 0 0 0
normalized size 1 1. 4.14 2.03 0. 0. 0. 0.
time (sec) N/A 0.489 6.96 1.961 0. 0. 0. 0.


















Problem 221 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 228 228 364 451 0 0 0 0
normalized size 1 1. 1.6 1.98 0. 0. 0. 0.
time (sec) N/A 0.499 6.518 1.895 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 377 465 0 0 0 0
normalized size 1 1. 1.44 1.78 0. 0. 0. 0.
time (sec) N/A 0.553 6.899 2.198 0. 0. 0. 0.


















Problem 223 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 294 294 1032 493 0 0 0 0
normalized size 1 1. 3.51 1.68 0. 0. 0. 0.
time (sec) N/A 0.57 7.362 2.108 0. 0. 0. 0.


















Problem 224 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 176 176 131 408 4512 1152 0 0
normalized size 1 1. 0.74 2.32 25.64 6.55 0. 0.
time (sec) N/A 0.288 1.382 0.355 2.734 0.761 0. 0.


















Problem 225 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 131 131 106 344 2601 1045 0 0
normalized size 1 1. 0.81 2.63 19.85 7.98 0. 0.
time (sec) N/A 0.237 0.488 0.363 2.45 0.756 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 89 278 1222 863 0 0
normalized size 1 1. 1.14 3.56 15.67 11.06 0. 0.
time (sec) N/A 0.16 0.263 0.328 2.359 0.744 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 83 177 354 819 0 0
normalized size 1 1. 1.09 2.33 4.66 10.78 0. 0.
time (sec) N/A 0.157 0.378 0.286 2.061 0.57 0. 0.


















Problem 228 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 82 82 56 75 181 197 0 0
normalized size 1 1. 0.68 0.91 2.21 2.4 0. 0.
time (sec) N/A 0.158 0.219 0.307 2.01 0.46 0. 0.


















Problem 229 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 71 96 428 243 0 0
normalized size 1 1. 0.55 0.74 3.29 1.87 0. 0.
time (sec) N/A 0.222 0.286 0.314 2.128 0.461 0. 0.


















Problem 230 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 91 118 672 290 0 0
normalized size 1 1. 0.52 0.67 3.84 1.66 0. 0.
time (sec) N/A 0.288 0.311 0.349 2.158 0.467 0. 0.


















Problem 231 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 227 227 153 479 7937 1297 0 0
normalized size 1 1. 0.67 2.11 34.96 5.71 0. 0.
time (sec) N/A 0.547 1.37 0.314 3.926 1.004 0. 0.


















Problem 232 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 180 180 134 415 6218 1197 0 0
normalized size 1 1. 0.74 2.31 34.54 6.65 0. 0.
time (sec) N/A 0.419 1.187 0.309 2.966 0.765 0. 0.


















Problem 233 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 133 133 107 355 4575 1072 0 0
normalized size 1 1. 0.8 2.67 34.4 8.06 0. 0.
time (sec) N/A 0.336 0.67 0.332 2.61 0.758 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 107 346 1913 957 0 0
normalized size 1 1. 0.86 2.79 15.43 7.72 0. 0.
time (sec) N/A 0.314 1.521 0.34 2.275 0.76 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 125 125 109 211 424 971 0 0
normalized size 1 1. 0.87 1.69 3.39 7.77 0. 0.
time (sec) N/A 0.339 0.586 0.311 2.087 0.576 0. 0.


















Problem 236 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 131 131 73 97 338 251 0 0
normalized size 1 1. 0.56 0.74 2.58 1.92 0. 0.
time (sec) N/A 0.256 0.473 0.302 2.012 0.464 0. 0.


















Problem 237 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 92 119 694 305 0 0
normalized size 1 1. 0.51 0.66 3.83 1.69 0. 0.
time (sec) N/A 0.438 0.457 0.304 2.178 0.47 0. 0.


















Problem 238 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 228 228 110 141 945 355 0 0
normalized size 1 1. 0.48 0.62 4.14 1.56 0. 0.
time (sec) N/A 0.508 0.659 0.316 2.235 0.477 0. 0.


















Problem 239 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 274 274 178 543 12477 1476 0 0
normalized size 1 1. 0.65 1.98 45.54 5.39 0. 0.
time (sec) N/A 0.693 2.098 0.333 6.935 1.023 0. 0.


















Problem 240 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 227 227 154 479 9897 1351 0 0
normalized size 1 1. 0.68 2.11 43.6 5.95 0. 0.
time (sec) N/A 0.595 1.409 0.329 4.424 1.014 0. 0.


















Problem 241 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 180 180 133 419 8501 1224 0 0
normalized size 1 1. 0.74 2.33 47.23 6.8 0. 0.
time (sec) N/A 0.513 1.248 0.306 22.095 0.772 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 180 180 137 386 0 1169 0 0
normalized size 1 1. 0.76 2.14 0. 6.49 0. 0.
time (sec) N/A 0.504 1.811 0.367 0. 0.769 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 177 133 376 0 1085 0 0
normalized size 1 1. 0.75 2.12 0. 6.13 0. 0.
time (sec) N/A 0.505 0.966 0.348 0. 0.773 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 172 172 127 235 884 1100 0 0
normalized size 1 1. 0.74 1.37 5.14 6.4 0. 0.
time (sec) N/A 0.489 1.864 0.333 2.226 0.588 0. 0.


















Problem 245 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 178 178 91 121 520 317 0 0
normalized size 1 1. 0.51 0.68 2.92 1.78 0. 0.
time (sec) N/A 0.317 0.551 0.309 2.116 0.468 0. 0.


















Problem 246 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 228 228 108 143 1007 371 0 0
normalized size 1 1. 0.47 0.63 4.42 1.63 0. 0.
time (sec) N/A 0.632 0.764 0.306 2.202 0.479 0. 0.


















Problem 247 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 275 275 127 165 1276 435 0 0
normalized size 1 1. 0.46 0.6 4.64 1.58 0. 0.
time (sec) N/A 0.699 4.273 0.329 2.265 0.488 0. 0.


















Problem 248 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 190 190 125 423 3407 1620 0 0
normalized size 1 1. 0.66 2.23 17.93 8.53 0. 0.
time (sec) N/A 0.573 0.867 0.385 2.529 0.862 0. 0.


















Problem 249 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 141 141 106 353 1827 1401 0 0
normalized size 1 1. 0.75 2.5 12.96 9.94 0. 0.
time (sec) N/A 0.387 0.409 0.36 2.424 0.846 0. 0.


















Problem 250 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 100 100 95 210 765 965 0 0
normalized size 1 1. 0.95 2.1 7.65 9.65 0. 0.
time (sec) N/A 0.232 0.191 0.322 2.395 0.616 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 99 99 114 150 263 813 0 0
normalized size 1 1. 1.15 1.52 2.66 8.21 0. 0.
time (sec) N/A 0.185 0.276 0.271 2.027 0.512 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 132 183 522 940 0 0
normalized size 1 1. 0.93 1.29 3.68 6.62 0. 0.
time (sec) N/A 0.331 0.374 0.33 2.15 0.518 0. 0.


















Problem 253 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 187 187 133 205 864 1030 0 0
normalized size 1 1. 0.71 1.1 4.62 5.51 0. 0.
time (sec) N/A 0.507 1.097 0.347 2.26 0.522 0. 0.


















Problem 254 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 230 230 152 227 1087 1129 0 0
normalized size 1 1. 0.66 0.99 4.73 4.91 0. 0.
time (sec) N/A 0.689 1.6 0.38 2.3 0.532 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 497 541 0 1993 0 0
normalized size 1 1. 2.01 2.19 0. 8.07 0. 0.
time (sec) N/A 0.783 4.446 0.308 0. 1.002 0. 0.


















Problem 256 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 197 197 132 477 9527 1750 0 0
normalized size 1 1. 0.67 2.42 48.36 8.88 0. 0.
time (sec) N/A 0.601 1.75 0.328 3.607 0.987 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 113 316 0 1597 0 0
normalized size 1 1. 0.78 2.18 0. 11.01 0. 0.
time (sec) N/A 0.395 0.799 0.302 0. 0.669 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 84 219 0 995 0 0
normalized size 1 1. 0.79 2.05 0. 9.3 0. 0.
time (sec) N/A 0.195 0.219 0.292 0. 0.513 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 174 287 11081 1114 0 0
normalized size 1 1. 1.12 1.84 71.03 7.14 0. 0.
time (sec) N/A 0.362 1.429 0.3 2.445 0.527 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 173 317 0 1218 0 0
normalized size 1 1. 0.85 1.56 0. 6. 0. 0.
time (sec) N/A 0.553 1.725 0.312 0. 0.529 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 171 339 0 1328 0 0
normalized size 1 1. 0.68 1.36 0. 5.31 0. 0.
time (sec) N/A 0.734 1.406 0.324 0. 0.543 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 941 831 0 2122 0 0
normalized size 1 1. 3.83 3.38 0. 8.63 0. 0.
time (sec) N/A 0.82 6.165 0.335 0. 1.114 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 570 550 0 1972 0 0
normalized size 1 1. 2.94 2.84 0. 10.16 0. 0.
time (sec) N/A 0.588 5.668 0.309 0. 0.714 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 106 349 0 1289 0 0
normalized size 1 1. 0.68 2.24 0. 8.26 0. 0.
time (sec) N/A 0.272 0.678 0.302 0. 0.517 0. 0.


















Problem 265 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 156 203 103 347 7997 1303 0 0
normalized size 1 1.3 0.66 2.22 51.26 8.35 0. 0.
time (sec) N/A 0.572 1.053 0.309 5.064 0.52 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 206 419 0 1384 0 0
normalized size 1 1. 1.01 2.06 0. 6.82 0. 0.
time (sec) N/A 0.571 2.302 0.315 0. 0.535 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 250 250 193 449 0 1503 0 0
normalized size 1 1. 0.77 1.8 0. 6.01 0. 0.
time (sec) N/A 0.761 1.735 0.323 0. 0.544 0. 0.


















Problem 268 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 297 297 196 471 0 1611 0 0
normalized size 1 1. 0.66 1.59 0. 5.42 0. 0.
time (sec) N/A 0.956 2.13 0.348 0. 0.557 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 406 406 4445 0 0 0 0 0
normalized size 1 1. 10.95 0. 0. 0. 0. 0.
time (sec) N/A 0.632 20.04 0.145 0. 0. 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 354 354 2709 0 0 0 0 0
normalized size 1 1. 7.65 0. 0. 0. 0. 0.
time (sec) N/A 0.366 19.124 0.176 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 415 415 2901 0 0 0 0 0
normalized size 1 1. 6.99 0. 0. 0. 0. 0.
time (sec) N/A 0.433 19.222 0.144 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 787 787 4110 0 0 0 0 0
normalized size 1 1. 5.22 0. 0. 0. 0. 0.
time (sec) N/A 0.839 19.299 0.141 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 739 739 5094 0 0 0 0 0
normalized size 1 1. 6.89 0. 0. 0. 0. 0.
time (sec) N/A 0.702 21.178 0.144 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 764 764 4066 0 0 0 0 0
normalized size 1 1. 5.32 0. 0. 0. 0. 0.
time (sec) N/A 0.733 19.17 0.147 0. 0. 0. 0.


















Problem 275 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 197 197 4897 0 0 0 0 0
normalized size 1 1. 24.86 0. 0. 0. 0. 0.
time (sec) N/A 0.361 22.405 1.236 0. 0. 0. 0.


















Problem 276 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 164 164 111 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.255 1.077 1.14 0. 0. 0. 0.


















Problem 277 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 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 0.145 0.618 0.033 0.981 0.826 0. 1.269


















Problem 278 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 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 0.133 0.269 0.027 0.975 0.98 0. 1.249


















Problem 279 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 61 61 75 86 119 247 0 207
normalized size 1 1. 1.23 1.41 1.95 4.05 0. 3.39
time (sec) N/A 0.078 0.022 0.029 0.963 0.808 0. 1.241


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 43 65 76 225 71 113
normalized size 1 1. 1.23 1.86 2.17 6.43 2.03 3.23
time (sec) N/A 0.035 0.01 0.029 0.983 0.503 10.113 1.214


















Problem 281 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 78 142 0 107
normalized size 1 1. 1.31 1.6 2.23 4.06 0. 3.06
time (sec) N/A 0.055 0.028 0.047 0.964 0.494 0. 1.22


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 51 57 74 104 0 163
normalized size 1 1. 0.98 1.1 1.42 2. 0. 3.13
time (sec) N/A 0.096 0.082 0.051 0.96 0.468 0. 1.169


















Problem 283 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 84 84 75 85 107 149 0 243
normalized size 1 1. 0.89 1.01 1.27 1.77 0. 2.89
time (sec) N/A 0.125 0.156 0.059 0.964 0.474 0. 1.161


















Problem 284 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 105 105 91 107 136 205 0 367
normalized size 1 1. 0.87 1.02 1.3 1.95 0. 3.5
time (sec) N/A 0.139 0.235 0.063 0.961 0.476 0. 1.232


















Problem 285 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 198 198 150 312 373 521 0 713
normalized size 1 1. 0.76 1.58 1.88 2.63 0. 3.6
time (sec) N/A 0.291 1.514 0.042 0.979 0.526 0. 1.257


















Problem 286 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 179 179 120 241 308 443 0 645
normalized size 1 1. 0.67 1.35 1.72 2.47 0. 3.6
time (sec) N/A 0.322 0.735 0.038 1.031 0.52 0. 1.223


















Problem 287 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 116 116 92 174 223 371 0 397
normalized size 1 1. 0.79 1.5 1.92 3.2 0. 3.42
time (sec) N/A 0.18 0.466 0.035 1.003 0.504 0. 1.202


















Problem 288 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 67 133 170 335 0 259
normalized size 1 1. 0.78 1.55 1.98 3.9 0. 3.01
time (sec) N/A 0.081 0.263 0.032 0.965 0.506 0. 1.202


















Problem 289 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 60 60 109 104 139 294 0 208
normalized size 1 1. 1.82 1.73 2.32 4.9 0. 3.47
time (sec) N/A 0.102 0.479 0.045 0.989 0.503 0. 1.24


















Problem 290 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 80 120 120 134 213 0 240
normalized size 1 1. 1.5 1.5 1.68 2.66 0. 3.
time (sec) N/A 0.174 0.212 0.054 0.96 0.51 0. 1.194


















Problem 291 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 107 107 90 114 146 201 0 343
normalized size 1 1. 0.84 1.07 1.36 1.88 0. 3.21
time (sec) N/A 0.216 0.224 0.059 0.968 0.48 0. 1.23


















Problem 292 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 136 136 118 152 192 274 0 590
normalized size 1 1. 0.87 1.12 1.41 2.01 0. 4.34
time (sec) N/A 0.26 0.448 0.068 0.992 0.493 0. 1.195


















Problem 293 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 180 180 146 184 238 350 0 657
normalized size 1 1. 0.81 1.02 1.32 1.94 0. 3.65
time (sec) N/A 0.268 0.545 0.068 0.963 0.502 0. 1.193


















Problem 294 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 252 252 181 382 460 612 0 975
normalized size 1 1. 0.72 1.52 1.83 2.43 0. 3.87
time (sec) N/A 0.479 3.341 0.042 1.004 0.546 0. 1.264


















Problem 295 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 180 180 140 290 359 510 0 791
normalized size 1 1. 0.78 1.61 1.99 2.83 0. 4.39
time (sec) N/A 0.333 0.95 0.041 0.99 0.528 0. 1.254


















Problem 296 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 137 137 108 223 273 458 0 454
normalized size 1 1. 0.79 1.63 1.99 3.34 0. 3.31
time (sec) N/A 0.19 0.572 0.04 0.975 0.55 0. 1.265


















Problem 297 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 119 131 399 172 228 401 0 325
normalized size 1 1.1 3.35 1.45 1.92 3.37 0. 2.73
time (sec) N/A 0.223 0.963 0.054 0.983 0.562 0. 1.225


















Problem 298 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 124 124 217 168 194 369 0 316
normalized size 1 1. 1.75 1.35 1.56 2.98 0. 2.55
time (sec) N/A 0.333 0.681 0.056 0.98 0.53 0. 1.291


















Problem 299 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 145 145 159 207 205 317 0 424
normalized size 1 1. 1.1 1.43 1.41 2.19 0. 2.92
time (sec) N/A 0.347 0.355 0.06 0.963 0.542 0. 1.267


















Problem 300 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 179 179 140 180 231 321 0 724
normalized size 1 1. 0.78 1.01 1.29 1.79 0. 4.04
time (sec) N/A 0.423 0.408 0.063 0.967 0.525 0. 1.224


















Problem 301 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 221 221 176 227 293 423 0 907
normalized size 1 1. 0.8 1.03 1.33 1.91 0. 4.1
time (sec) N/A 0.494 0.698 0.071 0.972 0.549 0. 1.252


















Problem 302 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 334 334 244 550 640 797 0 1601
normalized size 1 1. 0.73 1.65 1.92 2.39 0. 4.79
time (sec) N/A 0.711 2.864 0.047 0.997 0.702 0. 1.284


















Problem 303 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 250 250 198 431 512 687 0 1148
normalized size 1 1. 0.79 1.72 2.05 2.75 0. 4.59
time (sec) N/A 0.52 3.914 0.049 0.983 0.594 0. 1.277


















Problem 304 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 200 200 160 338 409 603 0 857
normalized size 1 1. 0.8 1.69 2.04 3.02 0. 4.28
time (sec) N/A 0.327 1.027 0.049 0.98 0.605 0. 1.315


















Problem 305 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 195 195 1051 262 331 524 0 522
normalized size 1 1. 5.39 1.34 1.7 2.69 0. 2.68
time (sec) N/A 0.368 6.288 0.063 0.99 0.574 0. 1.245


















Problem 306 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 0 713
normalized size 1 1. 1.48 1.13 1.35 2.29 0. 3.41
time (sec) N/A 0.463 1.898 0.064 0.981 0.606 0. 1.304


















Problem 307 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 198 198 257 255 266 471 0 501
normalized size 1 1. 1.3 1.29 1.34 2.38 0. 2.53
time (sec) N/A 0.591 1.075 0.063 0.989 0.593 0. 1.288


















Problem 308 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 216 216 210 319 290 447 0 814
normalized size 1 1. 0.97 1.48 1.34 2.07 0. 3.77
time (sec) N/A 0.609 0.601 0.071 0.983 0.595 0. 1.303


















Problem 309 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 258 258 263 258 332 478 0 1068
normalized size 1 1. 1.02 1. 1.29 1.85 0. 4.14
time (sec) N/A 0.691 0.633 0.073 0.985 0.594 0. 1.313


















Problem 310 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 309 309 333 316 414 587 0 1521
normalized size 1 1. 1.08 1.02 1.34 1.9 0. 4.92
time (sec) N/A 0.82 1.228 0.079 0.987 0.609 0. 1.284


















Problem 311 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 187 187 422 688 0 1650 0 556
normalized size 1 1. 2.26 3.68 0. 8.82 0. 2.97
time (sec) N/A 0.676 2.366 0.083 0. 2.357 0. 1.263


















Problem 312 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 1353 0 363
normalized size 1 1. 2.1 2.87 0. 9.46 0. 2.54
time (sec) N/A 0.395 1.775 0.074 0. 11.326 0. 1.309


















Problem 313 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 98 98 130 228 0 1065 0 238
normalized size 1 1. 1.33 2.33 0. 10.87 0. 2.43
time (sec) N/A 0.229 0.573 0.061 0. 0.876 0. 1.227


















Problem 314 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 0 707 0 171
normalized size 1 1. 1.47 1.78 0. 9.3 0. 2.25
time (sec) N/A 0.126 0.179 0.063 0. 1.919 0. 1.232


















Problem 315 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 67 67 68 113 0 540 0 136
normalized size 1 1. 1.01 1.69 0. 8.06 0. 2.03
time (sec) N/A 0.099 0.123 0.072 0. 0.521 0. 1.2


















Problem 316 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 90 90 85 172 0 702 0 190
normalized size 1 1. 0.94 1.91 0. 7.8 0. 2.11
time (sec) N/A 0.149 0.208 0.097 0. 0.543 0. 1.173


















Problem 317 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 134 134 121 367 0 934 0 306
normalized size 1 1. 0.9 2.74 0. 6.97 0. 2.28
time (sec) N/A 0.403 0.329 0.099 0. 0.566 0. 1.214


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 152 641 0 1177 0 486
normalized size 1 1. 0.85 3.6 0. 6.61 0. 2.73
time (sec) N/A 0.642 0.487 0.102 0. 0.584 0. 1.223


















Problem 319 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 240 240 202 1212 0 1504 0 867
normalized size 1 1. 0.84 5.05 0. 6.27 0. 3.61
time (sec) N/A 0.982 0.64 0.108 0. 0.669 0. 1.2


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 272 272 438 698 0 2969 0 518
normalized size 1 1. 1.61 2.57 0. 10.92 0. 1.9
time (sec) N/A 0.866 6.272 0.098 0. 49.393 0. 1.253


















Problem 321 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 164 164 240 510 0 2433 0 545
normalized size 1 1. 1.46 3.11 0. 14.84 0. 3.32
time (sec) N/A 0.578 2.084 0.085 0. 31.363 0. 1.269


















Problem 322 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 131 131 191 350 0 1551 0 312
normalized size 1 1. 1.46 2.67 0. 11.84 0. 2.38
time (sec) N/A 0.301 0.697 0.079 0. 9.579 0. 1.262


















Problem 323 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 100 100 97 132 0 861 0 232
normalized size 1 1. 0.97 1.32 0. 8.61 0. 2.32
time (sec) N/A 0.134 0.346 0.078 0. 0.55 0. 1.22


















Problem 324 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 124 124 155 328 0 1226 0 271
normalized size 1 1. 1.25 2.65 0. 9.89 0. 2.19
time (sec) N/A 0.207 0.656 0.091 0. 0.585 0. 1.215


















Problem 325 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 180 180 221 453 0 1715 0 505
normalized size 1 1. 1.23 2.52 0. 9.53 0. 2.81
time (sec) N/A 0.569 1.093 0.116 0. 0.66 0. 1.398


















Problem 326 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 261 261 184 651 0 2136 0 459
normalized size 1 1. 0.7 2.49 0. 8.18 0. 1.76
time (sec) N/A 0.891 1.074 0.114 0. 0.741 0. 1.506


















Problem 327 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 346 346 224 926 0 2592 0 639
normalized size 1 1. 0.65 2.68 0. 7.49 0. 1.85
time (sec) N/A 1.275 1.374 0.12 0. 0.815 0. 1.49


















Problem 328 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 407 407 507 1599 0 5414 0 1878
normalized size 1 1. 1.25 3.93 0. 13.3 0. 4.61
time (sec) N/A 1.959 2.947 0.106 0. 171.058 0. 1.709


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 289 289 418 1406 0 4591 0 784
normalized size 1 1. 1.45 4.87 0. 15.89 0. 2.71
time (sec) N/A 1.424 6.47 0.097 0. 114.913 0. 1.584


















Problem 330 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 220 220 270 1085 0 3051 0 656
normalized size 1 1. 1.23 4.93 0. 13.87 0. 2.98
time (sec) N/A 0.686 1.827 0.095 0. 43.553 0. 1.519


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 157 238 0 1631 0 540
normalized size 1 1. 0.87 1.32 0. 9.06 0. 3.
time (sec) N/A 0.336 0.678 0.084 0. 0.656 0. 1.443


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 172 236 0 1631 0 539
normalized size 1 1. 1.05 1.44 0. 9.95 0. 3.29
time (sec) N/A 0.264 0.856 0.084 0. 0.665 0. 1.48


















Problem 333 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 205 205 267 1063 0 2479 0 617
normalized size 1 1. 1.3 5.19 0. 12.09 0. 3.01
time (sec) N/A 0.536 1.417 0.099 0. 0.751 0. 1.44


















Problem 334 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 290 290 306 1349 0 3394 0 737
normalized size 1 1. 1.06 4.65 0. 11.7 0. 2.54
time (sec) N/A 1.535 1.969 0.123 0. 0.916 0. 1.469


















Problem 335 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 393 393 734 1552 0 4018 0 1827
normalized size 1 1. 1.87 3.95 0. 10.22 0. 4.65
time (sec) N/A 1.999 4.256 0.134 0. 1.111 0. 1.537


















Problem 336 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 418 418 548 2948 0 0 0 1357
normalized size 1 1. 1.31 7.05 0. 0. 0. 3.25
time (sec) N/A 5.273 3. 0.108 0. 0. 0. 1.614


















Problem 337 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 310 310 369 2264 0 5023 0 1139
normalized size 1 1. 1.19 7.3 0. 16.2 0. 3.67
time (sec) N/A 1.366 1.81 0.122 0. 116.544 0. 1.659


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 226 375 0 2707 0 936
normalized size 1 1. 0.82 1.37 0. 9.88 0. 3.42
time (sec) N/A 0.7 2.232 0.094 0. 0.799 0. 1.555


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 252 388 0 2715 0 980
normalized size 1 1. 0.96 1.48 0. 10.32 0. 3.73
time (sec) N/A 0.615 1.157 0.089 0. 0.845 0. 1.589


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 404 376 0 2707 0 936
normalized size 1 1. 1.7 1.59 0. 11.42 0. 3.95
time (sec) N/A 0.51 1.05 0.096 0. 0.84 0. 1.545


















Problem 341 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 292 292 769 2242 0 4111 0 1099
normalized size 1 1. 2.63 7.68 0. 14.08 0. 3.76
time (sec) N/A 1.068 3.38 0.108 0. 1.044 0. 1.471


















Problem 342 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 411 411 1205 2891 0 5736 0 1304
normalized size 1 1. 2.93 7.03 0. 13.96 0. 3.17
time (sec) N/A 5.595 6.084 0.144 0. 1.361 0. 1.563


















Problem 343 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 538 538 1452 3099 0 6657 0 1420
normalized size 1 1. 2.7 5.76 0. 12.37 0. 2.64
time (sec) N/A 6.844 5.824 0.148 0. 1.56 0. 1.634


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 116 0 454 0 143
normalized size 1 1. 1. 1.9 0. 7.44 0. 2.34
time (sec) N/A 0.115 0.144 0.077 0. 0.536 0. 1.313


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 0 9 3 18
normalized size 1 1. 1. 1.17 0. 1.5 0.5 3.
time (sec) N/A 0.001 0.001 0.007 0. 0.43 6.069 1.385


















Problem 346 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 86 86 97 163 0 670 0 188
normalized size 1 1. 1.13 1.9 0. 7.79 0. 2.19
time (sec) N/A 0.18 0.355 0.092 0. 0.551 0. 1.373


















Problem 347 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 87 87 39 39 108 225 0 78
normalized size 1 1. 0.45 0.45 1.24 2.59 0. 0.9
time (sec) N/A 0.074 0.069 0.074 1.429 0.497 0. 1.395


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 485 485 3734 4394 0 0 0 0
normalized size 1 1. 7.7 9.06 0. 0. 0. 0.
time (sec) N/A 1.437 25.544 1.664 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 397 397 3330 3438 0 0 0 0
normalized size 1 1. 8.39 8.66 0. 0. 0. 0.
time (sec) N/A 0.933 24.424 1.091 0. 0. 0. 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 314 314 434 2498 0 0 0 0
normalized size 1 1. 1.38 7.96 0. 0. 0. 0.
time (sec) N/A 0.598 18.454 0.718 0. 0. 0. 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 256 256 408 1752 0 0 0 0
normalized size 1 1. 1.59 6.84 0. 0. 0. 0.
time (sec) N/A 0.34 14.937 0.49 0. 0. 0. 0.


















Problem 352 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 320 320 913 1372 0 0 0 0
normalized size 1 1. 2.85 4.29 0. 0. 0. 0.
time (sec) N/A 0.29 17.887 0.403 0. 0. 0. 0.


















Problem 353 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 344 344 1107 1389 0 0 0 0
normalized size 1 1. 3.22 4.04 0. 0. 0. 0.
time (sec) N/A 0.369 17.92 0.385 0. 0. 0. 0.


















Problem 354 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 429 429 1161 2065 0 0 0 0
normalized size 1 1. 2.71 4.81 0. 0. 0. 0.
time (sec) N/A 0.733 18.83 0.379 0. 0. 0. 0.


















Problem 355 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 509 509 1565 2954 0 0 0 0
normalized size 1 1. 3.07 5.8 0. 0. 0. 0.
time (sec) N/A 1.129 20.186 0.453 0. 0. 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 475 475 3766 4394 0 0 0 0
normalized size 1 1. 7.93 9.25 0. 0. 0. 0.
time (sec) N/A 1.225 25.765 1.639 0. 0. 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 388 388 3342 3424 0 0 0 0
normalized size 1 1. 8.61 8.82 0. 0. 0. 0.
time (sec) N/A 0.829 24.546 1.07 0. 0. 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 312 312 502 2683 0 0 0 0
normalized size 1 1. 1.61 8.6 0. 0. 0. 0.
time (sec) N/A 0.57 18.755 0.71 0. 0. 0. 0.


















Problem 359 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 381 381 6093 2340 0 0 0 0
normalized size 1 1. 15.99 6.14 0. 0. 0. 0.
time (sec) N/A 0.465 24.118 0.476 0. 0. 0. 0.


















Problem 360 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 361 361 979 2199 0 0 0 0
normalized size 1 1. 2.71 6.09 0. 0. 0. 0.
time (sec) N/A 0.451 18.375 0.464 0. 0. 0. 0.


















Problem 361 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 428 428 1598 2439 0 0 0 0
normalized size 1 1. 3.73 5.7 0. 0. 0. 0.
time (sec) N/A 0.792 19.438 0.379 0. 0. 0. 0.


















Problem 362 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 520 520 1551 3142 0 0 0 0
normalized size 1 1. 2.98 6.04 0. 0. 0. 0.
time (sec) N/A 1.275 19.034 0.448 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 566 566 4227 5368 0 0 0 0
normalized size 1 1. 7.47 9.48 0. 0. 0. 0.
time (sec) N/A 1.784 26.593 2.49 0. 0. 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 469 469 3781 4395 0 0 0 0
normalized size 1 1. 8.06 9.37 0. 0. 0. 0.
time (sec) N/A 1.183 26.294 1.639 0. 0. 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 384 384 2957 3637 0 0 0 0
normalized size 1 1. 7.7 9.47 0. 0. 0. 0.
time (sec) N/A 0.807 23.279 1.082 0. 0. 0. 0.


















Problem 366 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 442 442 7168 3285 0 0 0 0
normalized size 1 1. 16.22 7.43 0. 0. 0. 0.
time (sec) N/A 0.656 25.207 0.749 0. 0. 0. 0.


















Problem 367 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 1146 3215 0 0 0 0
normalized size 1 1. 2.65 7.42 0. 0. 0. 0.
time (sec) N/A 0.703 19.289 0.639 0. 0. 0. 0.


















Problem 368 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 450 450 1338 3271 0 0 0 0
normalized size 1 1. 2.97 7.27 0. 0. 0. 0.
time (sec) N/A 0.835 19.344 0.648 0. 0. 0. 0.


















Problem 369 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 518 518 1567 3511 0 0 0 0
normalized size 1 1. 3.03 6.78 0. 0. 0. 0.
time (sec) N/A 1.365 19.486 0.489 0. 0. 0. 0.


















Problem 370 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 617 617 5186 4231 0 0 0 0
normalized size 1 1. 8.41 6.86 0. 0. 0. 0.
time (sec) N/A 1.832 24.539 0.612 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 329 3000 2499 0 0 0 0
normalized size 1 1. 9.12 7.6 0. 0. 0. 0.
time (sec) N/A 0.618 23.224 0.756 0. 0. 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 261 261 372 1567 0 0 0 0
normalized size 1 1. 1.43 6. 0. 0. 0. 0.
time (sec) N/A 0.397 16.407 0.495 0. 0. 0. 0.


















Problem 373 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 210 210 356 829 0 0 0 0
normalized size 1 1. 1.7 3.95 0. 0. 0. 0.
time (sec) N/A 0.206 14.516 0.403 0. 0. 0. 0.


















Problem 374 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 208 208 147 215 0 0 0 0
normalized size 1 1. 0.71 1.03 0. 0. 0. 0.
time (sec) N/A 0.124 2.232 0.347 0. 0. 0. 0.


















Problem 375 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 348 348 1027 1028 0 0 0 0
normalized size 1 1. 2.95 2.95 0. 0. 0. 0.
time (sec) N/A 0.405 17.024 0.39 0. 0. 0. 0.


















Problem 376 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 435 435 1639 1885 0 0 0 0
normalized size 1 1. 3.77 4.33 0. 0. 0. 0.
time (sec) N/A 0.724 15.906 0.388 0. 0. 0. 0.


















Problem 377 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 525 525 1585 2954 0 0 0 0
normalized size 1 1. 3.02 5.63 0. 0. 0. 0.
time (sec) N/A 1.168 19.87 0.471 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 329 3460 3333 0 0 0 0
normalized size 1 1. 10.52 10.13 0. 0. 0. 0.
time (sec) N/A 0.72 24.791 0.743 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 275 275 467 2276 0 0 0 0
normalized size 1 1. 1.7 8.28 0. 0. 0. 0.
time (sec) N/A 0.464 18.717 0.469 0. 0. 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 254 254 468 1634 0 0 0 0
normalized size 1 1. 1.84 6.43 0. 0. 0. 0.
time (sec) N/A 0.348 15.577 0.381 0. 0. 0. 0.


















Problem 381 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 376 376 1491 2009 0 0 0 0
normalized size 1 1. 3.97 5.34 0. 0. 0. 0.
time (sec) N/A 0.433 14.712 0.385 0. 0. 0. 0.


















Problem 382 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 427 427 1613 2871 0 0 0 0
normalized size 1 1. 3.78 6.72 0. 0. 0. 0.
time (sec) N/A 0.701 19.701 0.372 0. 0. 0. 0.


















Problem 383 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 531 531 2667 3980 0 0 0 0
normalized size 1 1. 5.02 7.5 0. 0. 0. 0.
time (sec) N/A 1.139 18.56 0.525 0. 0. 0. 0.


















Problem 384 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 630 630 2343 5086 0 0 0 0
normalized size 1 1. 3.72 8.07 0. 0. 0. 0.
time (sec) N/A 1.669 22.385 0.717 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 510 510 4342 8044 0 0 0 0
normalized size 1 1. 8.51 15.77 0. 0. 0. 0.
time (sec) N/A 1.588 26.921 1.589 0. 0. 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 417 417 3920 6455 0 0 0 0
normalized size 1 1. 9.4 15.48 0. 0. 0. 0.
time (sec) N/A 1.016 26.453 0.794 0. 0. 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 387 387 3514 5170 0 0 0 0
normalized size 1 1. 9.08 13.36 0. 0. 0. 0.
time (sec) N/A 0.694 24.887 0.42 0. 0. 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 353 353 3225 4213 0 0 0 0
normalized size 1 1. 9.14 11.93 0. 0. 0. 0.
time (sec) N/A 0.598 22.685 0.387 0. 0. 0. 0.


















Problem 389 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 495 495 2083 5710 0 0 0 0
normalized size 1 1. 4.21 11.54 0. 0. 0. 0.
time (sec) N/A 0.767 17.16 0.414 0. 0. 0. 0.


















Problem 390 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 582 582 2390 8545 0 0 0 0
normalized size 1 1. 4.11 14.68 0. 0. 0. 0.
time (sec) N/A 1.214 22.046 0.677 0. 0. 0. 0.


















Problem 391 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 686 686 823 10322 0 0 0 0
normalized size 1 1. 1.2 15.05 0. 0. 0. 0.
time (sec) N/A 2.05 14.717 0.957 0. 0. 0. 0.


















Problem 392 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 105 105 248 642 0 0 0 0
normalized size 1 1. 2.36 6.11 0. 0. 0. 0.
time (sec) N/A 0.081 10.552 0.432 0. 0. 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 211 457 0 0 0 0
normalized size 1 1. 1.97 4.27 0. 0. 0. 0.
time (sec) N/A 0.085 8.097 0.427 0. 0. 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 132 663 0 0 0 0
normalized size 1 1. 0.73 3.68 0. 0. 0. 0.
time (sec) N/A 0.183 1.871 5.766 0. 0. 0. 0.


















Problem 395 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 0.147 0.913 4.188 0. 0. 0. 0.


















Problem 396 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 111 111 84 244 0 0 0 0
normalized size 1 1. 0.76 2.2 0. 0. 0. 0.
time (sec) N/A 0.139 0.295 1.928 0. 0. 0. 0.


















Problem 397 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 0.147 0.255 1.785 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 148 148 108 371 0 0 0 0
normalized size 1 1. 0.73 2.51 0. 0. 0. 0.
time (sec) N/A 0.163 0.604 1.806 0. 0. 0. 0.


















Problem 399 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 180 180 125 413 0 0 0 0
normalized size 1 1. 0.69 2.29 0. 0. 0. 0.
time (sec) N/A 0.181 1.055 1.948 0. 0. 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 221 859 0 0 0 0
normalized size 1 1. 0.84 3.27 0. 0. 0. 0.
time (sec) N/A 0.373 4.602 7.429 0. 0. 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 171 750 0 0 0 0
normalized size 1 1. 0.77 3.39 0. 0. 0. 0.
time (sec) N/A 0.315 2.69 6.353 0. 0. 0. 0.


















Problem 402 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 0.27 1.263 4.855 0. 0. 0. 0.


















Problem 403 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 161 161 124 404 0 0 0 0
normalized size 1 1. 0.77 2.51 0. 0. 0. 0.
time (sec) N/A 0.248 0.757 2.187 0. 0. 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F 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 0.26 0.972 1.87 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 161 548 0 0 0 0
normalized size 1 1. 0.76 2.57 0. 0. 0. 0.
time (sec) N/A 0.289 1.448 2.148 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 189 610 0 0 0 0
normalized size 1 1. 0.74 2.4 0. 0. 0. 0.
time (sec) N/A 0.337 1.94 1.985 0. 0. 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 452 1193 0 0 0 0
normalized size 1 1. 1.31 3.46 0. 0. 0. 0.
time (sec) N/A 0.572 6.553 9.93 0. 0. 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 225 944 0 0 0 0
normalized size 1 1. 0.76 3.2 0. 0. 0. 0.
time (sec) N/A 0.504 3.88 8.33 0. 0. 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 190 997 0 0 0 0
normalized size 1 1. 0.78 4.09 0. 0. 0. 0.
time (sec) N/A 0.483 2.456 6.648 0. 0. 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 166 1212 0 0 0 0
normalized size 1 1. 0.69 5.07 0. 0. 0. 0.
time (sec) N/A 0.51 1.986 5.698 0. 0. 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 172 867 0 0 0 0
normalized size 1 1. 0.73 3.67 0. 0. 0. 0.
time (sec) N/A 0.461 1.586 2.298 0. 0. 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 180 664 0 0 0 0
normalized size 1 1. 0.73 2.71 0. 0. 0. 0.
time (sec) N/A 0.467 1.358 2.01 0. 0. 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 219 745 0 0 0 0
normalized size 1 1. 0.74 2.53 0. 0. 0. 0.
time (sec) N/A 0.538 2.096 2.046 0. 0. 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 256 825 0 0 0 0
normalized size 1 1. 0.74 2.39 0. 0. 0. 0.
time (sec) N/A 0.574 3.096 1.988 0. 0. 0. 0.


















Problem 415 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 277 277 669 785 0 0 0 0
normalized size 1 1. 2.42 2.83 0. 0. 0. 0.
time (sec) N/A 1.014 6.962 6.75 0. 0. 0. 0.


















Problem 416 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 210 210 229 466 0 0 0 0
normalized size 1 1. 1.09 2.22 0. 0. 0. 0.
time (sec) N/A 0.713 3.659 5.356 0. 0. 0. 0.


















Problem 417 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 126 126 125 325 0 0 0 0
normalized size 1 1. 0.99 2.58 0. 0. 0. 0.
time (sec) N/A 0.401 1.336 3.801 0. 0. 0. 0.


















Problem 418 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 0.198 0.581 2.02 0. 0. 0. 0.


















Problem 419 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 0.257 6.941 2.069 0. 0. 0. 0.


















Problem 420 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 196 196 282 786 0 0 0 0
normalized size 1 1. 1.44 4.01 0. 0. 0. 0.
time (sec) N/A 0.467 6.524 2.248 0. 0. 0. 0.


















Problem 421 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 242 242 617 1074 0 0 0 0
normalized size 1 1. 2.55 4.44 0. 0. 0. 0.
time (sec) N/A 0.755 6.939 2.22 0. 0. 0. 0.


















Problem 422 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 406 406 738 1024 0 0 0 0
normalized size 1 1. 1.82 2.52 0. 0. 0. 0.
time (sec) N/A 1.162 7.145 9.448 0. 0. 0. 0.


















Problem 423 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 315 315 685 877 0 0 0 0
normalized size 1 1. 2.17 2.78 0. 0. 0. 0.
time (sec) N/A 0.837 6.984 6.326 0. 0. 0. 0.


















Problem 424 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 257 257 643 715 0 0 0 0
normalized size 1 1. 2.5 2.78 0. 0. 0. 0.
time (sec) N/A 0.527 6.889 5.18 0. 0. 0. 0.


















Problem 425 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 263 263 727 802 0 0 0 0
normalized size 1 1. 2.76 3.05 0. 0. 0. 0.
time (sec) N/A 0.506 6.905 5.786 0. 0. 0. 0.


















Problem 426 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 283 283 657 843 0 0 0 0
normalized size 1 1. 2.32 2.98 0. 0. 0. 0.
time (sec) N/A 0.569 6.975 6.439 0. 0. 0. 0.


















Problem 427 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 365 365 704 1059 0 0 0 0
normalized size 1 1. 1.93 2.9 0. 0. 0. 0.
time (sec) N/A 0.859 7.146 7.161 0. 0. 0. 0.


















Problem 428 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 583 583 902 2178 0 0 0 0
normalized size 1 1. 1.55 3.74 0. 0. 0. 0.
time (sec) N/A 1.779 7.455 15.662 0. 0. 0. 0.


















Problem 429 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 480 480 847 2024 0 0 0 0
normalized size 1 1. 1.76 4.22 0. 0. 0. 0.
time (sec) N/A 1.378 7.271 10.555 0. 0. 0. 0.


















Problem 430 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 402 402 800 1768 0 0 0 0
normalized size 1 1. 1.99 4.4 0. 0. 0. 0.
time (sec) N/A 0.914 7.017 8.45 0. 0. 0. 0.


















Problem 431 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 402 402 887 1872 0 0 0 0
normalized size 1 1. 2.21 4.66 0. 0. 0. 0.
time (sec) N/A 0.914 7.015 8.338 0. 0. 0. 0.


















Problem 432 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 402 402 890 1959 0 0 0 0
normalized size 1 1. 2.21 4.87 0. 0. 0. 0.
time (sec) N/A 0.865 6.986 8.849 0. 0. 0. 0.


















Problem 433 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 427 427 823 2000 0 0 0 0
normalized size 1 1. 1.93 4.68 0. 0. 0. 0.
time (sec) N/A 0.998 7.388 9.803 0. 0. 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 521 521 868 2216 0 0 0 0
normalized size 1 1. 1.67 4.25 0. 0. 0. 0.
time (sec) N/A 1.444 7.353 11.085 0. 0. 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 336 336 422 2521 0 0 0 0
normalized size 1 1. 1.26 7.5 0. 0. 0. 0.
time (sec) N/A 1.108 5.34 0.492 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 253 377 1431 0 0 0 0
normalized size 1 1. 1.49 5.66 0. 0. 0. 0.
time (sec) N/A 0.783 6.096 0.503 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 122 1549 0 0 0 0
normalized size 1 1. 0.59 7.45 0. 0. 0. 0.
time (sec) N/A 0.543 2.549 0.491 0. 0. 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 165 1926 0 0 0 0
normalized size 1 1. 0.82 9.58 0. 0. 0. 0.
time (sec) N/A 0.479 0.754 0.36 0. 0. 0. 0.


















Problem 439 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 267 267 200 2739 0 0 0 0
normalized size 1 1. 0.75 10.26 0. 0. 0. 0.
time (sec) N/A 0.748 1.181 0.494 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 343 343 208 3778 0 0 0 0
normalized size 1 1. 0.61 11.01 0. 0. 0. 0.
time (sec) N/A 1.035 1.311 0.582 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 421 421 673 4051 0 0 0 0
normalized size 1 1. 1.6 9.62 0. 0. 0. 0.
time (sec) N/A 1.597 6.783 0.575 0. 0. 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 339 339 595 2947 0 0 0 0
normalized size 1 1. 1.76 8.69 0. 0. 0. 0.
time (sec) N/A 1.207 6.72 0.402 0. 0. 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 272 272 554 2595 0 0 0 0
normalized size 1 1. 2.04 9.54 0. 0. 0. 0.
time (sec) N/A 0.868 6.685 0.502 0. 0. 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 276 276 437 2552 0 0 0 0
normalized size 1 1. 1.58 9.25 0. 0. 0. 0.
time (sec) N/A 0.918 4.431 0.391 0. 0. 0. 0.


















Problem 445 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 266 266 201 2915 0 0 0 0
normalized size 1 1. 0.76 10.96 0. 0. 0. 0.
time (sec) N/A 0.792 1.578 0.441 0. 0. 0. 0.


















Problem 446 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 342 342 255 3752 0 0 0 0
normalized size 1 1. 0.75 10.97 0. 0. 0. 0.
time (sec) N/A 1.129 1.935 0.568 0. 0. 0. 0.


















Problem 447 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 427 427 313 4846 0 0 0 0
normalized size 1 1. 0.73 11.35 0. 0. 0. 0.
time (sec) N/A 1.495 2.072 0.763 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 513 513 768 5392 0 0 0 0
normalized size 1 1. 1.5 10.51 0. 0. 0. 0.
time (sec) N/A 1.998 6.91 0.791 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 422 422 678 4258 0 0 0 0
normalized size 1 1. 1.61 10.09 0. 0. 0. 0.
time (sec) N/A 1.594 6.923 0.515 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 359 359 628 3939 0 0 0 0
normalized size 1 1. 1.75 10.97 0. 0. 0. 0.
time (sec) N/A 1.249 7.002 0.523 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 349 349 599 3663 0 0 0 0
normalized size 1 1. 1.72 10.5 0. 0. 0. 0.
time (sec) N/A 1.25 6.95 0.412 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 342 342 616 3564 0 0 0 0
normalized size 1 1. 1.8 10.42 0. 0. 0. 0.
time (sec) N/A 1.223 6.966 0.466 0. 0. 0. 0.


















Problem 453 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 340 340 257 3980 0 0 0 0
normalized size 1 1. 0.76 11.71 0. 0. 0. 0.
time (sec) N/A 1.155 1.791 0.557 0. 0. 0. 0.


















Problem 454 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 425 425 313 4847 0 0 0 0
normalized size 1 1. 0.74 11.4 0. 0. 0. 0.
time (sec) N/A 1.518 2.497 0.744 0. 0. 0. 0.


















Problem 455 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 519 519 380 5946 0 0 0 0
normalized size 1 1. 0.73 11.46 0. 0. 0. 0.
time (sec) N/A 1.96 3.553 1.022 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 344 344 451 2737 0 0 0 0
normalized size 1 1. 1.31 7.96 0. 0. 0. 0.
time (sec) N/A 1.111 3.992 0.46 0. 0. 0. 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 339 1440 0 0 0 0
normalized size 1 1. 1.32 5.62 0. 0. 0. 0.
time (sec) N/A 0.731 6.754 0.43 0. 0. 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 91 283 0 0 0 0
normalized size 1 1. 0.66 2.05 0. 0. 0. 0.
time (sec) N/A 0.392 0.258 0.395 0. 0. 0. 0.


















Problem 459 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 150 150 103 940 0 0 0 0
normalized size 1 1. 0.69 6.27 0. 0. 0. 0.
time (sec) N/A 0.31 3.651 0.382 0. 0. 0. 0.


















Problem 460 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 212 212 161 1731 0 0 0 0
normalized size 1 1. 0.76 8.17 0. 0. 0. 0.
time (sec) N/A 0.48 0.878 0.401 0. 0. 0. 0.


















Problem 461 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 280 280 198 2739 0 0 0 0
normalized size 1 1. 0.71 9.78 0. 0. 0. 0.
time (sec) N/A 0.75 1.259 0.46 0. 0. 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 518 2655 0 0 0 0
normalized size 1 1. 1.4 7.16 0. 0. 0. 0.
time (sec) N/A 1.269 5.746 0.359 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 464 1585 0 0 0 0
normalized size 1 1. 2.11 7.2 0. 0. 0. 0.
time (sec) N/A 0.625 4.584 0.405 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 161 941 0 0 0 0
normalized size 1 1. 0.75 4.38 0. 0. 0. 0.
time (sec) N/A 0.572 0.695 0.392 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 178 1452 0 0 0 0
normalized size 1 1. 0.76 6.18 0. 0. 0. 0.
time (sec) N/A 0.579 1.001 0.421 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 252 2285 0 0 0 0
normalized size 1 1. 0.77 7.01 0. 0. 0. 0.
time (sec) N/A 0.836 1.576 0.37 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 316 3156 0 0 0 0
normalized size 1 1. 0.75 7.46 0. 0. 0. 0.
time (sec) N/A 1.222 2.173 0.458 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 399 399 726 5195 0 0 0 0
normalized size 1 1. 1.82 13.02 0. 0. 0. 0.
time (sec) N/A 1.374 6.827 0.408 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 329 329 217 3138 0 0 0 0
normalized size 1 1. 0.66 9.54 0. 0. 0. 0.
time (sec) N/A 0.842 2.245 0.401 0. 0. 0. 0.


















Problem 470 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 346 346 245 3865 0 0 0 0
normalized size 1 1. 0.71 11.17 0. 0. 0. 0.
time (sec) N/A 0.822 2.042 0.411 0. 0. 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 368 368 297 5169 0 0 0 0
normalized size 1 1. 0.81 14.05 0. 0. 0. 0.
time (sec) N/A 0.937 2.352 0.464 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 472 472 353 6745 0 0 0 0
normalized size 1 1. 0.75 14.29 0. 0. 0. 0.
time (sec) N/A 1.409 2.909 0.541 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 588 588 392 8251 0 0 0 0
normalized size 1 1. 0.67 14.03 0. 0. 0. 0.
time (sec) N/A 1.879 3.742 0.81 0. 0. 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 125 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.158 21.182 0.145 0. 0. 0. 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 125 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.146 17.829 0.139 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 125 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.176 3.338 0.165 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 125 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.162 3.33 0.181 0. 0. 0. 0.


















Problem 478 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 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 4.27 1.197 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 544 544 365 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 1.63 4.423 0.804 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 366 366 307 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.786 2.208 0.623 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 239 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.406 0.964 1.058 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 168 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.201 0.387 0.559 0. 0. 0. 0.


















Problem 483 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 132 132 872 383 0 0 0 0
normalized size 1 1. 6.61 2.9 0. 0. 0. 0.
time (sec) N/A 0.229 6.284 1.923 0. 0. 0. 0.


















Problem 484 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 101 101 830 355 0 0 0 0
normalized size 1 1. 8.22 3.51 0. 0. 0. 0.
time (sec) N/A 0.21 6.204 2.14 0. 0. 0. 0.


















Problem 485 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 0.186 5.918 2.037 0. 0. 0. 0.


















Problem 486 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 66 66 252 240 0 0 0 0
normalized size 1 1. 3.82 3.64 0. 0. 0. 0.
time (sec) N/A 0.194 6.074 2.013 0. 0. 0. 0.


















Problem 487 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 95 95 813 426 0 0 0 0
normalized size 1 1. 8.56 4.48 0. 0. 0. 0.
time (sec) N/A 0.217 6.338 4.806 0. 0. 0. 0.


















Problem 488 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 132 132 865 661 0 0 0 0
normalized size 1 1. 6.55 5.01 0. 0. 0. 0.
time (sec) N/A 0.232 6.387 5.993 0. 0. 0. 0.


















Problem 489 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 194 194 1086 413 0 0 0 0
normalized size 1 1. 5.6 2.13 0. 0. 0. 0.
time (sec) N/A 0.404 6.341 1.789 0. 0. 0. 0.


















Problem 490 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 161 161 1040 385 0 0 0 0
normalized size 1 1. 6.46 2.39 0. 0. 0. 0.
time (sec) N/A 0.362 6.249 1.744 0. 0. 0. 0.


















Problem 491 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 126 126 994 357 0 0 0 0
normalized size 1 1. 7.89 2.83 0. 0. 0. 0.
time (sec) N/A 0.347 6.301 1.776 0. 0. 0. 0.


















Problem 492 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 116 116 735 388 0 0 0 0
normalized size 1 1. 6.34 3.34 0. 0. 0. 0.
time (sec) N/A 0.337 6.374 1.988 0. 0. 0. 0.


















Problem 493 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 120 120 736 513 0 0 0 0
normalized size 1 1. 6.13 4.28 0. 0. 0. 0.
time (sec) N/A 0.35 6.426 2.253 0. 0. 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 1025 741 0 0 0 0
normalized size 1 1. 6.45 4.66 0. 0. 0. 0.
time (sec) N/A 0.381 6.52 6.256 0. 0. 0. 0.


















Problem 495 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 194 194 1067 851 0 0 0 0
normalized size 1 1. 5.5 4.39 0. 0. 0. 0.
time (sec) N/A 0.415 6.555 7.114 0. 0. 0. 0.


















Problem 496 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 157 157 1292 282 0 0 0 0
normalized size 1 1. 8.23 1.8 0. 0. 0. 0.
time (sec) N/A 0.265 6.601 1.886 0. 0. 0. 0.


















Problem 497 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 124 124 1239 262 0 0 0 0
normalized size 1 1. 9.99 2.11 0. 0. 0. 0.
time (sec) N/A 0.244 6.533 2.127 0. 0. 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 1208 244 0 0 0 0
normalized size 1 1. 13.73 2.77 0. 0. 0. 0.
time (sec) N/A 0.22 6.476 1.775 0. 0. 0. 0.


















Problem 499 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 83 83 1204 243 0 0 0 0
normalized size 1 1. 14.51 2.93 0. 0. 0. 0.
time (sec) N/A 0.222 6.451 1.912 0. 0. 0. 0.


















Problem 500 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 113 113 1240 318 0 0 0 0
normalized size 1 1. 10.97 2.81 0. 0. 0. 0.
time (sec) N/A 0.24 6.663 4.232 0. 0. 0. 0.


















Problem 501 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 152 152 1277 493 0 0 0 0
normalized size 1 1. 8.4 3.24 0. 0. 0. 0.
time (sec) N/A 0.26 6.987 5.406 0. 0. 0. 0.


















Problem 502 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 1396 465 0 0 0 0
normalized size 1 1. 6.84 2.28 0. 0. 0. 0.
time (sec) N/A 0.419 6.833 2.219 0. 0. 0. 0.


















Problem 503 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 1352 435 0 0 0 0
normalized size 1 1. 7.91 2.54 0. 0. 0. 0.
time (sec) N/A 0.401 6.718 2.084 0. 0. 0. 0.


















Problem 504 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 137 137 1318 421 0 0 0 0
normalized size 1 1. 9.62 3.07 0. 0. 0. 0.
time (sec) N/A 0.375 6.632 1.839 0. 0. 0. 0.


















Problem 505 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 121 121 921 350 0 0 0 0
normalized size 1 1. 7.61 2.89 0. 0. 0. 0.
time (sec) N/A 0.346 6.518 2.116 0. 0. 0. 0.


















Problem 506 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 121 121 921 350 0 0 0 0
normalized size 1 1. 7.61 2.89 0. 0. 0. 0.
time (sec) N/A 0.355 6.513 1.891 0. 0. 0. 0.


















Problem 507 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 164 164 1351 492 0 0 0 0
normalized size 1 1. 8.24 3. 0. 0. 0. 0.
time (sec) N/A 0.397 6.727 2.314 0. 0. 0. 0.


















Problem 508 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 197 197 1392 750 0 0 0 0
normalized size 1 1. 7.07 3.81 0. 0. 0. 0.
time (sec) N/A 0.428 7.232 6.874 0. 0. 0. 0.


















Problem 509 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 221 221 1448 465 0 0 0 0
normalized size 1 1. 6.55 2.1 0. 0. 0. 0.
time (sec) N/A 0.582 6.906 2.1 0. 0. 0. 0.


















Problem 510 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 188 188 1415 451 0 0 0 0
normalized size 1 1. 7.53 2.4 0. 0. 0. 0.
time (sec) N/A 0.548 6.824 2.265 0. 0. 0. 0.


















Problem 511 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 182 182 1407 451 0 0 0 0
normalized size 1 1. 7.73 2.48 0. 0. 0. 0.
time (sec) N/A 0.539 6.746 2.089 0. 0. 0. 0.


















Problem 512 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 178 178 1406 451 0 0 0 0
normalized size 1 1. 7.9 2.53 0. 0. 0. 0.
time (sec) N/A 0.522 6.655 2.285 0. 0. 0. 0.


















Problem 513 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 180 180 1407 451 0 0 0 0
normalized size 1 1. 7.82 2.51 0. 0. 0. 0.
time (sec) N/A 0.533 6.705 2.002 0. 0. 0. 0.


















Problem 514 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 221 221 1447 685 0 0 0 0
normalized size 1 1. 6.55 3.1 0. 0. 0. 0.
time (sec) N/A 0.577 6.973 2.533 0. 0. 0. 0.


















Problem 515 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 220 220 119 130 738 309 0 0
normalized size 1 1. 0.54 0.59 3.35 1.4 0. 0.
time (sec) N/A 0.476 0.485 0.34 2.067 0.486 0. 0.


















Problem 516 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 96 108 564 265 0 0
normalized size 1 1. 0.55 0.62 3.22 1.51 0. 0.
time (sec) N/A 0.403 0.339 0.276 2.026 0.48 0. 0.


















Problem 517 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 79 86 400 216 0 0
normalized size 1 1. 0.61 0.66 3.08 1.66 0. 0.
time (sec) N/A 0.332 0.165 0.3 1.988 0.473 0. 0.


















Problem 518 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 82 82 56 65 190 171 0 0
normalized size 1 1. 0.68 0.79 2.32 2.09 0. 0.
time (sec) N/A 0.262 0.175 0.265 1.942 0.471 0. 0.


















Problem 519 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 96 96 94 169 354 799 0 0
normalized size 1 1. 0.98 1.76 3.69 8.32 0. 0.
time (sec) N/A 0.259 0.312 0.301 1.913 0.552 0. 0.


















Problem 520 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 98 98 89 275 1222 929 0 0
normalized size 1 1. 0.91 2.81 12.47 9.48 0. 0.
time (sec) N/A 0.257 0.377 0.297 2.124 0.675 0. 0.


















Problem 521 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 151 151 106 342 2601 1035 0 0
normalized size 1 1. 0.7 2.26 17.23 6.85 0. 0.
time (sec) N/A 0.331 0.623 0.344 2.272 0.681 0. 0.


















Problem 522 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 196 196 131 404 4512 1131 0 0
normalized size 1 1. 0.67 2.06 23.02 5.77 0. 0.
time (sec) N/A 0.396 1.047 0.353 2.606 0.688 0. 0.


















Problem 523 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 275 275 131 153 949 397 0 0
normalized size 1 1. 0.48 0.56 3.45 1.44 0. 0.
time (sec) N/A 0.714 0.548 0.303 2.132 0.494 0. 0.


















Problem 524 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 228 228 118 131 753 332 0 0
normalized size 1 1. 0.52 0.57 3.3 1.46 0. 0.
time (sec) N/A 0.686 0.422 0.315 2.094 0.485 0. 0.


















Problem 525 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 181 181 100 109 609 282 0 0
normalized size 1 1. 0.55 0.6 3.36 1.56 0. 0.
time (sec) N/A 0.617 0.316 0.273 2.063 0.482 0. 0.


















Problem 526 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 131 131 80 87 373 228 0 0
normalized size 1 1. 0.61 0.66 2.85 1.74 0. 0.
time (sec) N/A 0.383 0.267 0.272 2.003 0.475 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 145 145 101 201 787 910 0 0
normalized size 1 1. 0.7 1.39 5.43 6.28 0. 0.
time (sec) N/A 0.444 0.43 0.296 2.056 0.561 0. 0.


















Problem 528 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 144 144 133 306 1913 1018 0 0
normalized size 1 1. 0.92 2.12 13.28 7.07 0. 0.
time (sec) N/A 0.433 0.766 0.309 2.16 0.682 0. 0.


















Problem 529 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 153 153 107 343 4575 1062 0 0
normalized size 1 1. 0.7 2.24 29.9 6.94 0. 0.
time (sec) N/A 0.454 0.837 0.312 2.457 0.681 0. 0.


















Problem 530 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 200 200 134 405 6218 1177 0 0
normalized size 1 1. 0.67 2.02 31.09 5.88 0. 0.
time (sec) N/A 0.54 1.282 0.289 2.832 0.69 0. 0.


















Problem 531 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 247 247 153 467 7937 1277 0 0
normalized size 1 1. 0.62 1.89 32.13 5.17 0. 0.
time (sec) N/A 0.634 1.849 0.33 3.813 0.83 0. 0.


















Problem 532 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 275 275 137 155 1018 412 0 0
normalized size 1 1. 0.5 0.56 3.7 1.5 0. 0.
time (sec) N/A 0.831 0.584 0.34 2.163 0.495 0. 0.


















Problem 533 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 228 228 116 133 805 348 0 0
normalized size 1 1. 0.51 0.58 3.53 1.53 0. 0.
time (sec) N/A 0.758 0.457 0.293 2.101 0.487 0. 0.


















Problem 534 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 178 178 99 111 651 294 0 0
normalized size 1 1. 0.56 0.62 3.66 1.65 0. 0.
time (sec) N/A 0.458 0.351 0.274 2.068 0.482 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 192 192 118 225 475 1040 0 0
normalized size 1 1. 0.61 1.17 2.47 5.42 0. 0.
time (sec) N/A 0.619 0.635 0.311 2.002 0.572 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 197 197 117 368 3495 1146 0 0
normalized size 1 1. 0.59 1.87 17.74 5.82 0. 0.
time (sec) N/A 0.626 0.662 0.332 2.387 0.695 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 173 376 0 1160 0 0
normalized size 1 1. 0.86 1.88 0. 5.8 0. 0.
time (sec) N/A 0.627 0.923 0.338 0. 0.693 0. 0.


















Problem 538 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 200 200 133 407 8501 1204 0 0
normalized size 1 1. 0.66 2.04 42.5 6.02 0. 0.
time (sec) N/A 0.651 1.3 0.289 21.4 0.695 0. 0.


















Problem 539 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 247 247 154 469 9897 1331 0 0
normalized size 1 1. 0.62 1.9 40.07 5.39 0. 0.
time (sec) N/A 0.766 1.902 0.302 4.215 0.833 0. 0.


















Problem 540 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 294 294 178 531 12477 1455 0 0
normalized size 1 1. 0.61 1.81 42.44 4.95 0. 0.
time (sec) N/A 0.857 2.821 0.323 6.729 0.848 0. 0.


















Problem 541 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 250 250 170 217 1011 1081 0 0
normalized size 1 1. 0.68 0.87 4.04 4.32 0. 0.
time (sec) N/A 0.843 1.138 0.289 2.201 0.539 0. 0.


















Problem 542 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 207 207 154 195 784 983 0 0
normalized size 1 1. 0.74 0.94 3.79 4.75 0. 0.
time (sec) N/A 0.632 0.751 0.415 2.147 0.534 0. 0.


















Problem 543 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 162 162 124 173 645 892 0 0
normalized size 1 1. 0.77 1.07 3.98 5.51 0. 0.
time (sec) N/A 0.447 0.326 0.335 2.09 0.524 0. 0.


















Problem 544 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 119 119 140 142 263 813 0 0
normalized size 1 1. 1.18 1.19 2.21 6.83 0. 0.
time (sec) N/A 0.286 0.298 0.323 1.967 0.516 0. 0.


















Problem 545 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 140 140 115 201 944 945 0 0
normalized size 1 1. 0.82 1.44 6.74 6.75 0. 0.
time (sec) N/A 0.343 0.214 0.311 2.08 0.59 0. 0.


















Problem 546 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 181 181 114 342 2037 1507 0 0
normalized size 1 1. 0.63 1.89 11.25 8.33 0. 0.
time (sec) N/A 0.503 0.529 0.319 2.285 0.753 0. 0.


















Problem 547 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 230 230 137 413 3650 1615 0 0
normalized size 1 1. 0.6 1.8 15.87 7.02 0. 0.
time (sec) N/A 0.7 1.023 0.354 2.448 0.766 0. 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 178 329 0 1283 0 0
normalized size 1 1. 0.66 1.22 0. 4.75 0. 0.
time (sec) N/A 0.866 1.292 0.403 0. 0.547 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 223 223 155 307 0 1172 0 0
normalized size 1 1. 0.7 1.38 0. 5.26 0. 0.
time (sec) N/A 0.687 1.232 0.315 0. 0.542 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 176 176 198 235 11081 1068 0 0
normalized size 1 1. 1.12 1.34 62.96 6.07 0. 0.
time (sec) N/A 0.49 1.876 0.385 2.425 0.53 0. 0.


















Problem 551 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 127 127 86 209 2924 995 0 0
normalized size 1 1. 0.68 1.65 23.02 7.83 0. 0.
time (sec) N/A 0.317 0.505 0.287 2.182 0.521 0. 0.


















Problem 552 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 185 185 113 303 0 1577 0 0
normalized size 1 1. 0.61 1.64 0. 8.52 0. 0.
time (sec) N/A 0.531 0.924 0.298 0. 0.655 0. 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 237 237 288 467 9527 1862 0 0
normalized size 1 1. 1.22 1.97 40.2 7.86 0. 0.
time (sec) N/A 0.744 2.17 0.321 3.479 0.841 0. 0.


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 287 287 328 531 0 1989 0 0
normalized size 1 1. 1.14 1.85 0. 6.93 0. 0.
time (sec) N/A 0.947 3.301 0.291 0. 0.862 0. 0.


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 317 317 207 461 0 1565 0 0
normalized size 1 1. 0.65 1.45 0. 4.94 0. 0.
time (sec) N/A 1.123 2.095 0.325 0. 0.567 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 183 439 0 1457 0 0
normalized size 1 1. 0.68 1.63 0. 5.4 0. 0.
time (sec) N/A 0.91 1.665 0.325 0. 0.558 0. 0.


















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 223 223 228 365 0 1338 0 0
normalized size 1 1. 1.02 1.64 0. 6. 0. 0.
time (sec) N/A 0.7 2.461 0.444 0. 0.546 0. 0.


















Problem 558 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 223 223 108 339 7997 1257 0 0
normalized size 1 1. 0.48 1.52 35.86 5.64 0. 0.
time (sec) N/A 0.712 0.988 0.324 4.878 0.53 0. 0.


















Problem 559 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 176 176 108 340 7231 1243 0 0
normalized size 1 1. 0.61 1.93 41.09 7.06 0. 0.
time (sec) N/A 0.403 0.808 0.338 4.138 0.528 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 965 540 0 1906 0 0
normalized size 1 1. 4.12 2.31 0. 8.15 0. 0.
time (sec) N/A 0.714 6.156 0.321 0. 0.688 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 1061 821 0 2234 0 0
normalized size 1 1. 3.71 2.87 0. 7.81 0. 0.
time (sec) N/A 0.958 6.172 0.333 0. 0.925 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 140 140 103 413 0 0 0 0
normalized size 1 1. 0.74 2.95 0. 0. 0. 0.
time (sec) N/A 0.231 0.893 1.888 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 108 108 86 371 0 0 0 0
normalized size 1 1. 0.8 3.44 0. 0. 0. 0.
time (sec) N/A 0.214 0.441 1.894 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 75 75 67 326 0 0 0 0
normalized size 1 1. 0.89 4.35 0. 0. 0. 0.
time (sec) N/A 0.193 0.259 1.946 0. 0. 0. 0.


















Problem 565 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 71 71 64 244 0 0 0 0
normalized size 1 1. 0.9 3.44 0. 0. 0. 0.
time (sec) N/A 0.193 0.369 2.018 0. 0. 0. 0.


















Problem 566 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 103 103 107 428 0 0 0 0
normalized size 1 1. 1.04 4.16 0. 0. 0. 0.
time (sec) N/A 0.212 0.49 4.615 0. 0. 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 134 663 0 0 0 0
normalized size 1 1. 0.96 4.74 0. 0. 0. 0.
time (sec) N/A 0.231 0.842 5.971 0. 0. 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 139 548 0 0 0 0
normalized size 1 1. 0.76 3.01 0. 0. 0. 0.
time (sec) N/A 0.368 1.216 1.966 0. 0. 0. 0.


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 106 487 0 0 0 0
normalized size 1 1. 0.76 3.48 0. 0. 0. 0.
time (sec) N/A 0.332 0.622 2.096 0. 0. 0. 0.


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 102 404 0 0 0 0
normalized size 1 1. 0.84 3.34 0. 0. 0. 0.
time (sec) N/A 0.318 0.663 2.04 0. 0. 0. 0.


















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 105 677 0 0 0 0
normalized size 1 1. 0.83 5.37 0. 0. 0. 0.
time (sec) N/A 0.335 1.197 4.912 0. 0. 0. 0.


















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 175 750 0 0 0 0
normalized size 1 1. 1.02 4.36 0. 0. 0. 0.
time (sec) N/A 0.375 1.128 6.644 0. 0. 0. 0.


















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 191 859 0 0 0 0
normalized size 1 1. 0.89 4.01 0. 0. 0. 0.
time (sec) N/A 0.396 4.61 8.288 0. 0. 0. 0.


















Problem 574 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 182 182 263 1074 0 0 0 0
normalized size 1 1. 1.45 5.9 0. 0. 0. 0.
time (sec) N/A 0.855 2.543 2.38 0. 0. 0. 0.


















Problem 575 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 136 136 210 786 0 0 0 0
normalized size 1 1. 1.54 5.78 0. 0. 0. 0.
time (sec) N/A 0.586 1.208 2.597 0. 0. 0. 0.


















Problem 576 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 89 89 131 295 0 0 0 0
normalized size 1 1. 1.47 3.31 0. 0. 0. 0.
time (sec) N/A 0.276 0.964 2.124 0. 0. 0. 0.


















Problem 577 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 61 61 58 217 0 0 0 0
normalized size 1 1. 0.95 3.56 0. 0. 0. 0.
time (sec) N/A 0.219 0.222 1.973 0. 0. 0. 0.


















Problem 578 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 86 208 325 0 0 0 0
normalized size 1 1. 2.42 3.78 0. 0. 0. 0.
time (sec) N/A 0.393 2.5 4.391 0. 0. 0. 0.


















Problem 579 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 150 150 263 466 0 0 0 0
normalized size 1 1. 1.75 3.11 0. 0. 0. 0.
time (sec) N/A 0.836 2.319 5.868 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 Yes TBD TBD TBD TBD TBD
size 217 217 328 785 0 0 0 0
normalized size 1 1. 1.51 3.62 0. 0. 0. 0.
time (sec) N/A 1.188 4.583 7.738 0. 0. 0. 0.


















Problem 581 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 305 305 320 1059 0 0 0 0
normalized size 1 1. 1.05 3.47 0. 0. 0. 0.
time (sec) N/A 1.018 3.4 7.568 0. 0. 0. 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 283 843 0 0 0 0
normalized size 1 1. 1.27 3.78 0. 0. 0. 0.
time (sec) N/A 0.702 2.813 6.337 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 Yes TBD TBD TBD TBD TBD
size 203 203 263 802 0 0 0 0
normalized size 1 1. 1.3 3.95 0. 0. 0. 0.
time (sec) N/A 0.614 2.506 5.03 0. 0. 0. 0.


















Problem 584 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 197 197 276 715 0 0 0 0
normalized size 1 1. 1.4 3.63 0. 0. 0. 0.
time (sec) N/A 0.667 2.721 4.72 0. 0. 0. 0.


















Problem 585 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 255 255 319 877 0 0 0 0
normalized size 1 1. 1.25 3.44 0. 0. 0. 0.
time (sec) N/A 0.944 4.374 6.725 0. 0. 0. 0.


















Problem 586 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 346 346 429 1024 0 0 0 0
normalized size 1 1. 1.24 2.96 0. 0. 0. 0.
time (sec) N/A 1.311 6.907 9.885 0. 0. 0. 0.


















Problem 587 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 461 461 463 2216 0 0 0 0
normalized size 1 1. 1. 4.81 0. 0. 0. 0.
time (sec) N/A 1.585 6.011 12.205 0. 0. 0. 0.


















Problem 588 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 2000 0 0 0 0
normalized size 1 1. 1.07 5.45 0. 0. 0. 0.
time (sec) N/A 1.108 4.701 10.316 0. 0. 0. 0.


















Problem 589 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 346 346 361 1959 0 0 0 0
normalized size 1 1. 1.04 5.66 0. 0. 0. 0.
time (sec) N/A 1.102 4.496 8.999 0. 0. 0. 0.


















Problem 590 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 338 338 368 1872 0 0 0 0
normalized size 1 1. 1.09 5.54 0. 0. 0. 0.
time (sec) N/A 1.006 4.719 8.612 0. 0. 0. 0.


















Problem 591 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 342 342 387 1768 0 0 0 0
normalized size 1 1. 1.13 5.17 0. 0. 0. 0.
time (sec) N/A 1.096 4.893 8.816 0. 0. 0. 0.


















Problem 592 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 420 420 463 2024 0 0 0 0
normalized size 1 1. 1.1 4.82 0. 0. 0. 0.
time (sec) N/A 1.478 5.698 10.895 0. 0. 0. 0.


















Problem 593 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 523 523 572 2178 0 0 0 0
normalized size 1 1. 1.09 4.16 0. 0. 0. 0.
time (sec) N/A 1.98 7.301 16.947 0. 0. 0. 0.


















Problem 594 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 343 343 455 2364 0 0 0 0
normalized size 1 1. 1.33 6.89 0. 0. 0. 0.
time (sec) N/A 1.219 17.282 0.603 0. 0. 0. 0.


















Problem 595 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 267 267 353 1701 0 0 0 0
normalized size 1 1. 1.32 6.37 0. 0. 0. 0.
time (sec) N/A 0.914 14.752 0.487 0. 0. 0. 0.


















Problem 596 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 201 201 305 1162 0 0 0 0
normalized size 1 1. 1.52 5.78 0. 0. 0. 0.
time (sec) N/A 0.62 9.013 0.38 0. 0. 0. 0.


















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 208 208 25347 822 0 0 0 0
normalized size 1 1. 121.86 3.95 0. 0. 0. 0.
time (sec) N/A 0.683 29.407 0.389 0. 0. 0. 0.


















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 253 253 52603 789 0 0 0 0
normalized size 1 1. 207.92 3.12 0. 0. 0. 0.
time (sec) N/A 0.935 32.289 0.421 0. 0. 0. 0.


















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 336 336 77879 1475 0 0 0 0
normalized size 1 1. 231.78 4.39 0. 0. 0. 0.
time (sec) N/A 1.262 32.981 0.417 0. 0. 0. 0.


















Problem 600 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 427 427 540 3068 0 0 0 0
normalized size 1 1. 1.26 7.19 0. 0. 0. 0.
time (sec) N/A 1.708 18.385 0.702 0. 0. 0. 0.


















Problem 601 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 342 342 466 2326 0 0 0 0
normalized size 1 1. 1.36 6.8 0. 0. 0. 0.
time (sec) N/A 1.304 16.942 0.493 0. 0. 0. 0.


















Problem 602 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 266 266 369 1749 0 0 0 0
normalized size 1 1. 1.39 6.58 0. 0. 0. 0.
time (sec) N/A 0.97 14.26 0.481 0. 0. 0. 0.


















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 276 276 45958 1429 0 0 0 0
normalized size 1 1. 166.51 5.18 0. 0. 0. 0.
time (sec) N/A 1.093 33.895 0.364 0. 0. 0. 0.


















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 272 272 66581 1410 0 0 0 0
normalized size 1 1. 244.78 5.18 0. 0. 0. 0.
time (sec) N/A 1.023 32.949 0.439 0. 0. 0. 0.


















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 79375 1659 0 0 0 0
normalized size 1 1. 234.14 4.89 0. 0. 0. 0.
time (sec) N/A 1.418 32.955 0.414 0. 0. 0. 0.


















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 421 421 104716 2351 0 0 0 0
normalized size 1 1. 248.73 5.58 0. 0. 0. 0.
time (sec) N/A 1.802 33.385 0.508 0. 0. 0. 0.


















Problem 607 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 519 519 626 3816 0 0 0 0
normalized size 1 1. 1.21 7.35 0. 0. 0. 0.
time (sec) N/A 2.174 19.966 1.01 0. 0. 0. 0.


















Problem 608 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 425 425 542 3069 0 0 0 0
normalized size 1 1. 1.28 7.22 0. 0. 0. 0.
time (sec) N/A 1.716 18.308 0.689 0. 0. 0. 0.


















Problem 609 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 340 340 470 2450 0 0 0 0
normalized size 1 1. 1.38 7.21 0. 0. 0. 0.
time (sec) N/A 1.322 17.262 0.597 0. 0. 0. 0.


















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 342 342 49609 2052 0 0 0 0
normalized size 1 1. 145.06 6. 0. 0. 0. 0.
time (sec) N/A 1.393 34.447 0.43 0. 0. 0. 0.


















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 349 349 73332 2073 0 0 0 0
normalized size 1 1. 210.12 5.94 0. 0. 0. 0.
time (sec) N/A 1.426 33.574 0.444 0. 0. 0. 0.


















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 359 359 97208 2216 0 0 0 0
normalized size 1 1. 270.77 6.17 0. 0. 0. 0.
time (sec) N/A 1.429 33.906 0.605 0. 0. 0. 0.


















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 422 422 106199 2441 0 0 0 0
normalized size 1 1. 251.66 5.78 0. 0. 0. 0.
time (sec) N/A 1.795 33.62 0.528 0. 0. 0. 0.


















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 513 513 131553 3175 0 0 0 0
normalized size 1 1. 256.44 6.19 0. 0. 0. 0.
time (sec) N/A 2.248 34.253 0.724 0. 0. 0. 0.


















Problem 615 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 280 280 363 1701 0 0 0 0
normalized size 1 1. 1.3 6.08 0. 0. 0. 0.
time (sec) N/A 0.916 14.789 0.445 0. 0. 0. 0.


















Problem 616 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 212 212 311 1080 0 0 0 0
normalized size 1 1. 1.47 5.09 0. 0. 0. 0.
time (sec) N/A 0.632 8.965 0.384 0. 0. 0. 0.


















Problem 617 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 150 150 260 564 0 0 0 0
normalized size 1 1. 1.73 3.76 0. 0. 0. 0.
time (sec) N/A 0.435 6.739 0.382 0. 0. 0. 0.


















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 16611 257 0 0 0 0
normalized size 1 1. 120.37 1.86 0. 0. 0. 0.
time (sec) N/A 0.526 28.334 0.361 0. 0. 0. 0.


















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 256 256 51168 776 0 0 0 0
normalized size 1 1. 199.88 3.03 0. 0. 0. 0.
time (sec) N/A 0.889 32.261 0.376 0. 0. 0. 0.


















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 344 344 77909 1568 0 0 0 0
normalized size 1 1. 226.48 4.56 0. 0. 0. 0.
time (sec) N/A 1.281 32.654 0.409 0. 0. 0. 0.


















Problem 621 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 423 423 533 2084 0 0 0 0
normalized size 1 1. 1.26 4.93 0. 0. 0. 0.
time (sec) N/A 1.404 18.958 0.435 0. 0. 0. 0.


















Problem 622 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 326 326 417 1460 0 0 0 0
normalized size 1 1. 1.28 4.48 0. 0. 0. 0.
time (sec) N/A 1.032 17.014 0.342 0. 0. 0. 0.


















Problem 623 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 235 235 365 889 0 0 0 0
normalized size 1 1. 1.55 3.78 0. 0. 0. 0.
time (sec) N/A 0.72 15.146 0.407 0. 0. 0. 0.


















Problem 624 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 215 215 328 564 0 0 0 0
normalized size 1 1. 1.53 2.62 0. 0. 0. 0.
time (sec) N/A 0.665 10.363 0.386 0. 0. 0. 0.


















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 220 220 50122 840 0 0 0 0
normalized size 1 1. 227.83 3.82 0. 0. 0. 0.
time (sec) N/A 0.788 32.167 0.336 0. 0. 0. 0.


















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 95694 1441 0 0 0 0
normalized size 1 1. 257.94 3.88 0. 0. 0. 0.
time (sec) N/A 1.446 33.481 0.367 0. 0. 0. 0.


















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 487 487 140027 2295 0 0 0 0
normalized size 1 1. 287.53 4.71 0. 0. 0. 0.
time (sec) N/A 1.859 34.871 0.449 0. 0. 0. 0.


















Problem 628 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 588 588 4179 5675 0 0 0 0
normalized size 1 1. 7.11 9.65 0. 0. 0. 0.
time (sec) N/A 2.067 24.638 0.734 0. 0. 0. 0.


















Problem 629 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 472 472 626 4480 0 0 0 0
normalized size 1 1. 1.33 9.49 0. 0. 0. 0.
time (sec) N/A 1.54 20.078 0.548 0. 0. 0. 0.


















Problem 630 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 368 368 621 3337 0 0 0 0
normalized size 1 1. 1.69 9.07 0. 0. 0. 0.
time (sec) N/A 1.105 18.54 0.677 0. 0. 0. 0.


















Problem 631 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 346 346 463 2416 0 0 0 0
normalized size 1 1. 1.34 6.98 0. 0. 0. 0.
time (sec) N/A 1.008 16.369 0.495 0. 0. 0. 0.


















Problem 632 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 329 329 487 1921 0 0 0 0
normalized size 1 1. 1.48 5.84 0. 0. 0. 0.
time (sec) N/A 1.043 16.032 0.454 0. 0. 0. 0.


















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 399 399 97528 3159 0 0 0 0
normalized size 1 1. 244.43 7.92 0. 0. 0. 0.
time (sec) N/A 1.5 33.595 0.535 0. 0. 0. 0.


















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 526 526 184379 5358 0 0 0 0
normalized size 1 1. 350.53 10.19 0. 0. 0. 0.
time (sec) N/A 1.99 35.973 0.714 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 [272] had the largest ratio of [ 0.44 ]

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 5 1. 23 0.217







2 A 7 5 1. 23 0.217







3 A 6 5 1. 23 0.217







4 A 5 4 1. 23 0.174







5 A 6 5 1. 23 0.217







6 A 7 5 1. 23 0.217







7 A 6 4 1. 31 0.129







8 A 6 4 1. 29 0.138







9 A 5 3 1. 23 0.13







10 A 6 4 1. 29 0.138







11 A 6 4 1. 31 0.129







12 A 6 4 1. 31 0.129







13 A 6 4 1. 29 0.138







14 A 5 3 1. 23 0.13







15 A 6 4 1. 29 0.138







16 A 6 4 1. 31 0.129







17 A 6 4 1. 31 0.129







18 A 6 4 1. 29 0.138







19 A 5 3 1. 23 0.13







20 A 6 4 1. 29 0.138







21 A 6 4 1. 31 0.129







22 A 6 4 1. 31 0.129







23 A 6 4 1. 29 0.138







24 A 5 3 1. 23 0.13







25 A 6 4 1. 29 0.138







26 A 6 4 1. 31 0.129







27 A 6 4 1. 31 0.129







28 A 6 4 1. 31 0.129







29 A 6 4 1. 31 0.129







30 A 6 4 1. 31 0.129







31 A 6 4 1. 31 0.129







32 A 6 4 1. 31 0.129







33 A 6 4 1. 29 0.138







34 A 6 4 1. 29 0.138







35 A 6 4 1. 27 0.148







36 A 5 3 1. 21 0.143







37 A 6 4 1. 27 0.148







38 A 6 4 1. 29 0.138







39 A 6 4 1. 31 0.129







40 A 6 4 1. 31 0.129







41 A 6 4 1. 31 0.129







42 A 6 4 1. 31 0.129







43 A 7 5 1. 29 0.172







44 A 6 5 1. 29 0.172







45 A 6 6 1. 29 0.207







46 A 5 5 1. 27 0.185







47 A 4 4 1. 21 0.19







48 A 3 2 1. 27 0.074







49 A 4 4 1. 29 0.138







50 A 5 5 1. 29 0.172







51 A 6 5 1. 29 0.172







52 A 7 5 1. 29 0.172







53 A 7 6 1. 31 0.194







54 A 7 7 1. 31 0.226







55 A 6 6 1. 29 0.207







56 A 5 5 1. 23 0.217







57 A 4 3 1. 29 0.103







58 A 4 3 1. 31 0.097







59 A 5 5 1. 31 0.161







60 A 6 6 1. 31 0.194







61 A 7 6 1. 31 0.194







62 A 8 6 1. 31 0.194







63 A 11 7 1. 31 0.226







64 A 10 6 1. 29 0.207







65 A 6 5 1. 23 0.217







66 A 5 3 1. 29 0.103







67 A 5 4 1. 31 0.129







68 A 5 3 1. 31 0.097







69 A 8 6 1. 31 0.194







70 A 7 6 1. 31 0.194







71 A 8 6 1. 31 0.194







72 A 14 7 1. 31 0.226







73 A 13 6 1. 29 0.207







74 A 7 5 1. 23 0.217







75 A 6 3 1. 29 0.103







76 A 6 4 1. 31 0.129







77 A 6 4 1. 31 0.129







78 A 6 3 1. 31 0.097







79 A 11 6 1. 31 0.194







80 A 8 6 1. 31 0.194







81 A 9 6 1. 31 0.194







82 A 6 5 1. 31 0.161







83 A 6 6 1. 31 0.194







84 A 5 5 1. 31 0.161







85 A 3 3 1. 29 0.103







86 A 2 2 1. 23 0.087







87 A 4 4 1. 29 0.138







88 A 5 5 1. 31 0.161







89 A 6 5 1. 31 0.161







90 A 7 5 1. 31 0.161







91 A 7 6 1. 31 0.194







92 A 6 6 1. 31 0.194







93 A 4 4 1. 31 0.129







94 A 2 2 1. 29 0.069







95 A 3 3 1. 23 0.13







96 A 5 4 1. 29 0.138







97 A 6 5 1. 31 0.161







98 A 7 5 1. 31 0.161







99 A 8 6 1. 31 0.194







100 A 7 6 1. 31 0.194







101 A 5 5 1. 31 0.161







102 A 3 3 1. 31 0.097







103 A 3 3 1. 29 0.103







104 A 4 3 1. 23 0.13







105 A 6 4 1. 29 0.138







106 A 7 5 1. 31 0.161







107 A 8 5 1. 31 0.161







108 A 9 6 1. 31 0.194







109 A 8 6 1. 31 0.194







110 A 6 5 1. 31 0.161







111 A 4 4 1. 31 0.129







112 A 4 4 1. 31 0.129







113 A 4 3 1. 29 0.103







114 A 5 3 1. 23 0.13







115 A 7 4 1. 29 0.138







116 A 8 5 1. 31 0.161







117 A 9 5 1. 31 0.161







118 A 5 5 1. 33 0.152







119 A 4 4 1. 33 0.121







120 A 3 3 1. 33 0.091







121 A 2 2 1. 31 0.065







122 A 4 4 1. 25 0.16







123 A 3 3 1. 31 0.097







124 A 4 4 1. 33 0.121







125 A 5 4 1. 33 0.121







126 A 6 4 1. 33 0.121







127 A 5 5 1. 33 0.152







128 A 4 4 1. 33 0.121







129 A 3 3 1. 31 0.097







130 A 5 5 1. 25 0.2







131 A 4 4 1. 31 0.129







132 A 4 4 1. 33 0.121







133 A 5 5 1. 33 0.152







134 A 6 5 1. 33 0.152







135 A 6 5 1. 33 0.152







136 A 5 4 1. 33 0.121







137 A 4 3 1. 31 0.097







138 A 6 5 1. 25 0.2







139 A 5 4 1. 31 0.129







140 A 5 5 1. 33 0.152







141 A 5 4 1. 33 0.121







142 A 6 5 1. 33 0.152







143 A 7 5 1. 33 0.152







144 A 6 5 1. 33 0.152







145 A 5 5 1. 33 0.152







146 A 4 4 1. 33 0.121







147 A 3 3 1. 31 0.097







148 A 5 4 1. 25 0.16







149 A 6 5 1. 31 0.161







150 A 7 5 1. 33 0.152







151 A 8 5 1. 33 0.152







152 A 6 6 1. 33 0.182







153 A 5 5 1. 33 0.152







154 A 4 4 1. 33 0.121







155 A 3 3 1. 31 0.097







156 A 6 5 1. 25 0.2







157 A 7 6 1. 31 0.194







158 A 8 6 1. 33 0.182







159 A 9 6 1. 33 0.182







160 A 6 5 1. 33 0.152







161 A 5 5 1. 33 0.152







162 A 4 4 1. 33 0.121







163 A 4 4 1. 31 0.129







164 A 7 5 1. 25 0.2







165 A 8 6 1. 31 0.194







166 A 9 6 1. 33 0.182







167 A 5 4 1. 26 0.154







168 A 6 5 1. 32 0.156







169 A 7 5 1. 34 0.147







170 A 8 5 1. 34 0.147







171 A 6 5 1.15 26 0.192







172 A 7 6 1. 32 0.188







173 A 8 6 1. 34 0.176







174 A 9 6 1. 34 0.176







175 A 7 6 1.22 26 0.231







176 A 8 6 1. 32 0.188







177 A 9 6 1. 34 0.176







178 A 10 6 1. 34 0.176







179 A 9 6 1. 31 0.194







180 A 8 6 1. 31 0.194







181 A 7 6 1. 31 0.194







182 A 6 5 1. 31 0.161







183 A 6 5 1. 31 0.161







184 A 7 6 1. 31 0.194







185 A 8 6 1. 31 0.194







186 A 9 7 1. 33 0.212







187 A 8 7 1. 33 0.212







188 A 7 6 1. 33 0.182







189 A 7 6 1. 33 0.182







190 A 7 6 1. 33 0.182







191 A 8 7 1. 33 0.212







192 A 9 7 1. 33 0.212







193 A 10 7 1. 33 0.212







194 A 9 7 1. 33 0.212







195 A 8 6 1. 33 0.182







196 A 8 7 1. 33 0.212







197 A 8 6 1. 33 0.182







198 A 8 6 1. 33 0.182







199 A 9 7 1. 33 0.212







200 A 10 7 1. 33 0.212







201 A 9 6 1. 33 0.182







202 A 8 6 1. 33 0.182







203 A 7 6 1. 33 0.182







204 A 6 5 1. 33 0.152







205 A 6 5 1. 33 0.152







206 A 7 6 1. 33 0.182







207 A 8 6 1. 33 0.182







208 A 9 6 1. 33 0.182







209 A 9 6 1. 33 0.182







210 A 8 6 1. 33 0.182







211 A 7 5 1. 33 0.152







212 A 7 6 1. 33 0.182







213 A 7 5 1. 33 0.152







214 A 8 6 1. 33 0.182







215 A 9 6 1. 33 0.182







216 A 10 6 1. 33 0.182







217 A 9 6 1. 33 0.182







218 A 8 5 1. 33 0.152







219 A 8 6 1. 33 0.182







220 A 8 6 1. 33 0.182







221 A 8 5 1. 33 0.152







222 A 9 6 1. 33 0.182







223 A 10 6 1. 33 0.182







224 A 5 4 1. 35 0.114







225 A 4 4 1. 35 0.114







226 A 3 3 1. 35 0.086







227 A 3 3 1. 35 0.086







228 A 2 2 1. 35 0.057







229 A 3 3 1. 35 0.086







230 A 4 3 1. 35 0.086







231 A 6 5 1. 35 0.143







232 A 5 5 1. 35 0.143







233 A 4 4 1. 35 0.114







234 A 4 4 1. 35 0.114







235 A 4 4 1. 35 0.114







236 A 3 3 1. 35 0.086







237 A 4 4 1. 35 0.114







238 A 5 4 1. 35 0.114







239 A 7 5 1. 35 0.143







240 A 6 5 1. 35 0.143







241 A 5 4 1. 35 0.114







242 A 5 4 1. 35 0.114







243 A 5 5 1. 35 0.143







244 A 5 4 1. 35 0.114







245 A 4 3 1. 35 0.086







246 A 5 4 1. 35 0.114







247 A 6 4 1. 35 0.114







248 A 7 6 1. 35 0.171







249 A 6 6 1. 35 0.171







250 A 5 5 1. 35 0.143







251 A 3 3 1. 35 0.086







252 A 4 4 1. 35 0.114







253 A 5 4 1. 35 0.114







254 A 6 4 1. 35 0.114







255 A 8 7 1. 35 0.2







256 A 7 7 1. 35 0.2







257 A 6 6 1. 35 0.171







258 A 3 3 1. 35 0.086







259 A 4 4 1. 35 0.114







260 A 5 5 1. 35 0.143







261 A 6 5 1. 35 0.143







262 A 8 7 1. 35 0.2







263 A 7 6 1. 35 0.171







264 A 4 4 1. 35 0.114







265 A 5 5 1.3 35 0.143







266 A 5 4 1. 35 0.114







267 A 6 5 1. 35 0.143







268 A 7 5 1. 35 0.143







269 A 9 9 1. 25 0.36







270 A 8 8 1. 25 0.32







271 A 9 9 1. 25 0.36







272 A 11 11 1. 25 0.44







273 A 10 10 1. 25 0.4







274 A 11 11 1. 25 0.44







275 A 7 4 1. 33 0.121







276 A 4 4 1. 35 0.114







277 A 6 5 1. 29 0.172







278 A 6 6 1. 29 0.207







279 A 5 5 1. 27 0.185







280 A 4 4 1. 21 0.19







281 A 3 2 1. 27 0.074







282 A 4 4 1. 29 0.138







283 A 5 5 1. 29 0.172







284 A 6 5 1. 29 0.172







285 A 7 6 1. 31 0.194







286 A 7 7 1. 31 0.226







287 A 6 6 1. 29 0.207







288 A 5 4 1. 23 0.174







289 A 5 4 1. 29 0.138







290 A 5 5 1. 31 0.161







291 A 5 5 1. 31 0.161







292 A 7 6 1. 31 0.194







293 A 7 6 1. 31 0.194







294 A 8 7 1. 31 0.226







295 A 7 6 1. 29 0.207







296 A 6 5 1. 23 0.217







297 A 6 5 1.1 29 0.172







298 A 6 6 1. 31 0.194







299 A 6 6 1. 31 0.194







300 A 6 6 1. 31 0.194







301 A 8 7 1. 31 0.226







302 A 9 7 1. 31 0.226







303 A 8 6 1. 29 0.207







304 A 7 6 1. 23 0.261







305 A 7 6 1. 29 0.207







306 A 7 6 1. 31 0.194







307 A 7 7 1. 31 0.226







308 A 7 7 1. 31 0.226







309 A 7 7 1. 31 0.226







310 A 9 8 1. 31 0.258







311 A 8 8 1. 31 0.258







312 A 7 7 1. 31 0.226







313 A 7 7 1. 31 0.226







314 A 5 5 1. 29 0.172







315 A 4 4 1. 23 0.174







316 A 5 5 1. 29 0.172







317 A 6 6 1. 31 0.194







318 A 7 6 1. 31 0.194







319 A 8 6 1. 31 0.194







320 A 8 8 1. 31 0.258







321 A 7 7 1. 31 0.226







322 A 6 6 1. 31 0.194







323 A 5 5 1. 29 0.172







324 A 5 5 1. 23 0.217







325 A 6 6 1. 29 0.207







326 A 7 6 1. 31 0.194







327 A 8 6 1. 31 0.194







328 A 9 9 1. 31 0.29







329 A 8 8 1. 31 0.258







330 A 7 7 1. 31 0.226







331 A 6 6 1. 31 0.194







332 A 6 5 1. 29 0.172







333 A 6 6 1. 23 0.261







334 A 7 7 1. 29 0.241







335 A 8 7 1. 31 0.226







336 A 9 9 1. 31 0.29







337 A 8 8 1. 31 0.258







338 A 7 7 1. 31 0.226







339 A 7 6 1. 31 0.194







340 A 7 5 1. 29 0.172







341 A 7 6 1. 23 0.261







342 A 8 7 1. 29 0.241







343 A 9 7 1. 31 0.226







344 A 4 4 1. 28 0.143







345 A 2 2 1. 28 0.071







346 A 5 5 1. 23 0.217







347 A 4 4 1. 21 0.19







348 A 7 7 1. 33 0.212







349 A 6 6 1. 33 0.182







350 A 5 5 1. 33 0.152







351 A 4 4 1. 31 0.129







352 A 5 5 1. 25 0.2







353 A 6 6 1. 31 0.194







354 A 7 7 1. 33 0.212







355 A 8 7 1. 33 0.212







356 A 7 6 1. 33 0.182







357 A 6 5 1. 33 0.152







358 A 5 4 1. 31 0.129







359 A 6 6 1. 25 0.24







360 A 6 6 1. 31 0.194







361 A 7 7 1. 33 0.212







362 A 8 7 1. 33 0.212







363 A 8 6 1. 33 0.182







364 A 7 5 1. 33 0.152







365 A 6 4 1. 31 0.129







366 A 7 7 1. 25 0.28







367 A 7 7 1. 31 0.226







368 A 7 7 1. 33 0.212







369 A 8 8 1. 33 0.242







370 A 9 8 1. 33 0.242







371 A 5 5 1. 33 0.152







372 A 4 4 1. 33 0.121







373 A 3 3 1. 31 0.097







374 A 3 3 1. 25 0.12







375 A 6 6 1. 31 0.194







376 A 7 7 1. 33 0.212







377 A 8 7 1. 33 0.212







378 A 5 5 1. 33 0.152







379 A 4 4 1. 33 0.121







380 A 4 4 1. 31 0.129







381 A 6 6 1. 25 0.24







382 A 7 7 1. 31 0.226







383 A 8 8 1. 33 0.242







384 A 9 8 1. 33 0.242







385 A 6 6 1. 33 0.182







386 A 5 5 1. 33 0.152







387 A 5 5 1. 33 0.152







388 A 5 4 1. 31 0.129







389 A 7 7 1. 25 0.28







390 A 8 8 1. 31 0.258







391 A 9 8 1. 33 0.242







392 A 1 1 1. 31 0.032







393 A 1 1 1. 32 0.031







394 A 8 6 1. 31 0.194







395 A 7 6 1. 31 0.194







396 A 6 5 1. 31 0.161







397 A 6 5 1. 31 0.161







398 A 7 6 1. 31 0.194







399 A 8 6 1. 31 0.194







400 A 9 7 1. 33 0.212







401 A 8 7 1. 33 0.212







402 A 7 6 1. 33 0.182







403 A 7 6 1. 33 0.182







404 A 7 6 1. 33 0.182







405 A 8 7 1. 33 0.212







406 A 9 7 1. 33 0.212







407 A 10 8 1. 33 0.242







408 A 9 8 1. 33 0.242







409 A 8 7 1. 33 0.212







410 A 8 7 1. 33 0.212







411 A 8 7 1. 33 0.212







412 A 8 7 1. 33 0.212







413 A 9 8 1. 33 0.242







414 A 10 8 1. 33 0.242







415 A 11 9 1. 33 0.273







416 A 10 9 1. 33 0.273







417 A 7 7 1. 33 0.212







418 A 5 5 1. 33 0.152







419 A 7 7 1. 33 0.212







420 A 9 8 1. 33 0.242







421 A 10 9 1. 33 0.273







422 A 11 9 1. 33 0.273







423 A 10 9 1. 33 0.273







424 A 9 8 1. 33 0.242







425 A 9 8 1. 33 0.242







426 A 9 8 1. 33 0.242







427 A 10 9 1. 33 0.273







428 A 12 10 1. 33 0.303







429 A 11 10 1. 33 0.303







430 A 10 9 1. 33 0.273







431 A 10 9 1. 33 0.273







432 A 10 9 1. 33 0.273







433 A 10 9 1. 33 0.273







434 A 11 10 1. 33 0.303







435 A 13 13 1. 35 0.371







436 A 12 12 1. 35 0.343







437 A 11 11 1. 35 0.314







438 A 8 8 1. 35 0.229







439 A 9 9 1. 35 0.257







440 A 10 9 1. 35 0.257







441 A 14 13 1. 35 0.371







442 A 13 13 1. 35 0.371







443 A 12 12 1. 35 0.343







444 A 12 12 1. 35 0.343







445 A 9 9 1. 35 0.257







446 A 10 9 1. 35 0.257







447 A 11 9 1. 35 0.257







448 A 15 14 1. 35 0.4







449 A 14 14 1. 35 0.4







450 A 13 13 1. 35 0.371







451 A 13 13 1. 35 0.371







452 A 13 13 1. 35 0.371







453 A 10 10 1. 35 0.286







454 A 11 10 1. 35 0.286







455 A 12 10 1. 35 0.286







456 A 13 13 1. 35 0.371







457 A 12 12 1. 35 0.343







458 A 7 7 1. 35 0.2







459 A 7 7 1. 35 0.2







460 A 8 8 1. 35 0.229







461 A 9 9 1. 35 0.257







462 A 13 13 1. 35 0.371







463 A 9 9 1. 35 0.257







464 A 8 8 1. 35 0.229







465 A 8 8 1. 35 0.229







466 A 9 9 1. 35 0.257







467 A 10 9 1. 35 0.257







468 A 13 13 1. 35 0.371







469 A 9 9 1. 35 0.257







470 A 9 9 1. 35 0.257







471 A 9 9 1. 35 0.257







472 A 10 10 1. 35 0.286







473 A 11 10 1. 35 0.286







474 A 0 0 0. 0 0.







475 A 0 0 0. 0 0.







476 A 0 0 0. 0 0.







477 A 0 0 0. 0 0.







478 A 0 0 0. 0 0.







479 A 9 7 1. 31 0.226







480 A 8 6 1. 31 0.194







481 A 7 5 1. 31 0.161







482 A 6 4 1. 29 0.138







483 A 8 7 1. 31 0.226







484 A 7 7 1. 31 0.226







485 A 6 6 1. 31 0.194







486 A 6 6 1. 31 0.194







487 A 7 7 1. 31 0.226







488 A 8 7 1. 31 0.226







489 A 9 8 1. 33 0.242







490 A 8 8 1. 33 0.242







491 A 7 7 1. 33 0.212







492 A 7 7 1. 33 0.212







493 A 7 7 1. 33 0.212







494 A 8 8 1. 33 0.242







495 A 9 8 1. 33 0.242







496 A 7 6 1. 33 0.182







497 A 6 6 1. 33 0.182







498 A 5 5 1. 33 0.152







499 A 5 5 1. 33 0.152







500 A 6 6 1. 33 0.182







501 A 7 6 1. 33 0.182







502 A 8 6 1. 33 0.182







503 A 7 6 1. 33 0.182







504 A 6 5 1. 33 0.152







505 A 6 6 1. 33 0.182







506 A 6 5 1. 33 0.152







507 A 7 6 1. 33 0.182







508 A 8 6 1. 33 0.182







509 A 8 6 1. 33 0.182







510 A 7 5 1. 33 0.152







511 A 7 6 1. 33 0.182







512 A 7 6 1. 33 0.182







513 A 7 5 1. 33 0.152







514 A 8 6 1. 33 0.182







515 A 6 4 1. 35 0.114







516 A 5 4 1. 35 0.114







517 A 4 4 1. 35 0.114







518 A 3 3 1. 35 0.086







519 A 4 4 1. 35 0.114







520 A 4 4 1. 35 0.114







521 A 5 5 1. 35 0.143







522 A 6 5 1. 35 0.143







523 A 7 5 1. 35 0.143







524 A 6 5 1. 35 0.143







525 A 5 5 1. 35 0.143







526 A 4 4 1. 35 0.114







527 A 5 5 1. 35 0.143







528 A 5 5 1. 35 0.143







529 A 5 5 1. 35 0.143







530 A 6 6 1. 35 0.171







531 A 7 6 1. 35 0.171







532 A 7 5 1. 35 0.143







533 A 6 5 1. 35 0.143







534 A 5 4 1. 35 0.114







535 A 6 5 1. 35 0.143







536 A 6 6 1. 35 0.171







537 A 6 5 1. 35 0.143







538 A 6 5 1. 35 0.143







539 A 7 6 1. 35 0.171







540 A 8 6 1. 35 0.171







541 A 7 5 1. 35 0.143







542 A 6 5 1. 35 0.143







543 A 5 5 1. 35 0.143







544 A 4 4 1. 35 0.114







545 A 6 6 1. 35 0.171







546 A 7 7 1. 35 0.2







547 A 8 7 1. 35 0.2







548 A 7 6 1. 35 0.171







549 A 6 6 1. 35 0.171







550 A 5 5 1. 35 0.143







551 A 4 4 1. 35 0.114







552 A 7 7 1. 35 0.2







553 A 8 8 1. 35 0.229







554 A 9 8 1. 35 0.229







555 A 8 6 1. 35 0.171







556 A 7 6 1. 35 0.171







557 A 6 5 1. 35 0.143







558 A 6 6 1. 35 0.171







559 A 5 5 1. 35 0.143







560 A 8 7 1. 35 0.2







561 A 9 8 1. 35 0.229







562 A 8 7 1. 31 0.226







563 A 7 7 1. 31 0.226







564 A 6 6 1. 31 0.194







565 A 6 6 1. 31 0.194







566 A 7 7 1. 31 0.226







567 A 8 7 1. 31 0.226







568 A 7 7 1. 33 0.212







569 A 6 6 1. 33 0.182







570 A 6 6 1. 33 0.182







571 A 6 6 1. 33 0.182







572 A 7 7 1. 33 0.212







573 A 8 7 1. 33 0.212







574 A 8 8 1. 33 0.242







575 A 7 7 1. 33 0.212







576 A 6 6 1. 33 0.182







577 A 4 4 1. 33 0.121







578 A 6 6 1. 33 0.182







579 A 8 8 1. 33 0.242







580 A 9 8 1. 33 0.242







581 A 8 8 1. 33 0.242







582 A 7 7 1. 33 0.212







583 A 7 7 1. 33 0.212







584 A 7 7 1. 33 0.212







585 A 8 8 1. 33 0.242







586 A 9 8 1. 33 0.242







587 A 9 9 1. 33 0.273







588 A 8 8 1. 33 0.242







589 A 8 8 1. 33 0.242







590 A 8 8 1. 33 0.242







591 A 8 8 1. 33 0.242







592 A 9 8 1. 33 0.242







593 A 10 8 1. 33 0.242







594 A 11 10 1. 35 0.286







595 A 10 10 1. 35 0.286







596 A 9 9 1. 35 0.257







597 A 12 12 1. 35 0.343







598 A 13 13 1. 35 0.371







599 A 14 14 1. 35 0.4







600 A 12 10 1. 35 0.286







601 A 11 10 1. 35 0.286







602 A 10 10 1. 35 0.286







603 A 13 13 1. 35 0.371







604 A 13 13 1. 35 0.371







605 A 14 14 1. 35 0.4







606 A 15 14 1. 35 0.4







607 A 13 11 1. 35 0.314







608 A 12 11 1. 35 0.314







609 A 11 11 1. 35 0.314







610 A 14 14 1. 35 0.4







611 A 14 14 1. 35 0.4







612 A 14 14 1. 35 0.4







613 A 15 15 1. 35 0.429







614 A 16 15 1. 35 0.429







615 A 10 10 1. 35 0.286







616 A 9 9 1. 35 0.257







617 A 8 8 1. 35 0.229







618 A 8 8 1. 35 0.229







619 A 13 13 1. 35 0.371







620 A 14 14 1. 35 0.4







621 A 11 10 1. 35 0.286







622 A 10 10 1. 35 0.286







623 A 9 9 1. 35 0.257







624 A 9 9 1. 35 0.257







625 A 10 10 1. 35 0.286







626 A 14 14 1. 35 0.4







627 A 15 14 1. 35 0.4







628 A 12 11 1. 35 0.314







629 A 11 11 1. 35 0.314







630 A 10 10 1. 35 0.286







631 A 10 10 1. 35 0.286







632 A 10 10 1. 35 0.286







633 A 14 14 1. 35 0.4







634 A 15 15 1. 35 0.429