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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 }

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, 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, 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, 253, 254, 255, 256, 257, 258, 259, 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, 318, 319, 320, 321, 322, 323, 324, 325, 326, 328, 329, 330, 331, 332, 333, 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, 490, 492, 493, 495, 497, 499, 507, 508, 514, 515, 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, 548, 549, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 }

B grade: { 44, 260, 317 }

C grade: { 160, 251, 252, 489, 491, 494, 496, 498, 502, 503, 504, 505, 506, 511, 512, 513, 516, 517, 518 }

F grade: { 161, 162, 327, 334, 500, 501, 509, 510, 547, 550, 551}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 52, 54, 56, 57, 58, 68, 69, 70, 71, 72, 84, 85, 86, 87, 88, 89, 100, 101, 102, 109, 110, 121, 130, 132, 134, 139, 142, 148, 149, 150, 164, 165, 166, 167, 168, 169, 187, 227, 228, 229, 231, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 254, 255, 256, 257, 259, 261, 262, 263, 264, 265, 266, 267, 269, 271, 272, 273, 274, 275, 277, 279, 280, 281, 282, 283, 287, 288, 289, 290, 291, 296, 297, 298, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 373, 378, 381, 382, 383, 386, 387, 390, 391, 394, 395, 396, 399, 400, 405, 406, 407, 411, 412, 413, 416, 417, 418, 422, 423, 427, 428, 432, 433, 437, 438, 439, 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, 514, 515, 522, 523, 524, 525, 526, 527, 528, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 544, 545, 546, 547, 548, 549, 550, 551, 555, 556, 559, 560, 564, 565, 568, 569 }

B grade: { 35, 42, 51, 53, 59, 60, 61, 62, 63, 64, 65, 66, 67, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 131, 133, 135, 136, 137, 138, 140, 141, 170, 171, 172, 173, 175, 177, 178, 179, 180, 181, 183, 185, 186, 188, 189, 191, 193, 194, 195, 196, 197, 198, 199, 201, 203, 204, 205, 206, 207, 208, 209, 211, 213, 214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 226, 250, 251, 252, 253, 268, 270, 276, 278, 284, 285, 286, 292, 293, 294, 295, 299, 301, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 499, 507, 508, 543 }

C grade: { 32, 55, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 503, 504, 505, 506, 509, 510, 511, 512, 513 }

F grade: { 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 174, 176, 182, 184, 190, 192, 200, 202, 210, 212, 220, 222, 230, 232, 258, 260, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 384, 385, 388, 389, 392, 393, 397, 398, 401, 402, 403, 404, 408, 409, 410, 414, 415, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 440, 441, 442, 516, 517, 518, 519, 520, 521, 529, 552, 553, 554, 557, 558, 561, 562, 563, 566, 567 }

2.1.4 Maxima

A grade: { 1, 2, 3, 5, 7, 9, 10, 12, 14, 16, 18, 23, 25, 27, 67, 83, 99, 108, 119, 126, 127, 129, 134, 148, 149, 150, 164, 165, 166, 172, 180, 188, 198, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 373, 378, 382, 383, 387, 391, 395, 396, 400, 406, 407, 412, 413, 417, 418, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 467, 469, 470, 471, 472, 473, 474, 476, 478, 479, 480, 481, 482, 483, 485, 487, 488, 522, 523, 524, 525, 526, 527, 528, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551, 556, 560, 564, 565, 568, 569

B grade: { 4, 11, 13, 19, 20, 21, 22, 40 }

C grade: { 136, 138, 141, 226, 228, 254, 256 }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 120, 121, 122, 123, 124, 125, 128, 130, 131, 132, 133, 135, 137, 139, 140, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 167, 168, 169, 170, 171, 173, 174, 175, 176, 177, 178, 179, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 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, 227, 229, 230, 231, 232, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 296, 299, 300, 301, 302, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 347, 368, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 384, 385, 386, 388, 389, 390, 392, 393, 394, 397, 398, 399, 401, 402, 403, 404, 405, 408, 409, 410, 411, 414, 415, 416, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 437, 440, 441, 442, 443, 466, 468, 475, 477, 484, 486, 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, 529, 530, 531, 532, 534, 535, 536, 543, 544, 545, 552, 553, 554, 555, 557, 558, 559, 561, 562, 563, 566, 567 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23, 25, 27, 40, 47, 49, 63, 64, 65, 66, 67, 76, 77, 78, 79, 80, 81, 82, 83, 93, 94, 95, 96, 97, 98, 99, 104, 106, 108, 111, 113, 114, 116, 118, 124, 126, 128, 136, 138, 148, 149, 150, 164, 165, 166, 170, 172, 178, 180, 186, 188, 194, 196, 198, 226, 228, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 254, 256, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 411, 416, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 467, 469, 470, 471, 472, 473, 474, 476, 478, 479, 480, 481, 482, 483, 485, 487, 488, 514, 515, 516, 522, 523, 524, 525, 526, 527, 530, 531, 532, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551 }

B grade: { 62, 296, 302, 347, 368, 437, 443, 499, 507, 508, 517, 518, 528 }

C grade: { }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 68, 69, 70, 71, 72, 73, 74, 75, 84, 85, 86, 87, 88, 89, 90, 91, 92, 100, 101, 102, 103, 105, 107, 109, 110, 112, 115, 117, 119, 120, 121, 122, 123, 125, 127, 129, 130, 131, 132, 133, 134, 135, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 167, 168, 169, 171, 173, 174, 175, 176, 177, 179, 181, 182, 183, 184, 185, 187, 189, 190, 191, 192, 193, 195, 197, 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, 227, 229, 230, 231, 232, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 299, 300, 301, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 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, 412, 413, 414, 415, 417, 418, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 440, 441, 442, 466, 468, 475, 477, 484, 486, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 503, 504, 505, 506, 509, 510, 511, 512, 513, 519, 520, 521, 529, 534, 535, 536, 543, 544, 545, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 148, 149, 164, 165, 166, 236, 237, 239, 240, 241, 242, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 297, 298, 303, 304, 305, 306, 307, 308, 309, 311, 312, 318, 319, 324, 325, 326, 331, 348, 349, 351, 364, 365, 373, 378, 382, 395, 406, 422, 423, 438, 439, 444, 445, 454, 461, 462, 463, 464, 465, 470, 471, 472, 473, 474, 479, 480, 481, 482, 483, 488, 514, 515, 522, 525, 526, 527, 528, 530, 531, 532, 537, 539, 540, 541, 542, 548, 549, 550, 555, 556, 559, 564, 568 }

B grade: { }

C grade: { }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 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, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 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, 238, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 299, 300, 301, 302, 310, 313, 314, 315, 316, 317, 320, 321, 322, 323, 327, 328, 329, 330, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 350, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 366, 367, 368, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 440, 441, 442, 443, 446, 447, 448, 449, 450, 451, 452, 453, 455, 456, 457, 458, 459, 460, 466, 467, 468, 469, 475, 476, 477, 478, 484, 485, 486, 487, 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, 516, 517, 518, 519, 520, 521, 523, 524, 529, 533, 534, 535, 536, 538, 543, 544, 545, 546, 547, 551, 552, 553, 554, 557, 558, 560, 561, 562, 563, 565, 566, 567, 569 }

2.1.7 Giac

A grade: { 1, 2, 3, 5, 10, 11, 12, 14, 21, 23, 134, 148, 149, 150, 164, 165, 166, 236, 237, 238, 239, 240, 241, 242, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 373, 378, 382, 383, 387, 391, 395, 396, 406, 407, 412, 413, 417, 418, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 470, 471, 472, 473, 474, 479, 480, 481, 482, 483, 488, 514, 515, 522, 523, 524, 525, 526, 527, 530, 531, 532, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551, 555, 556, 564, 565, 568, 569 }

B grade: { 4, 13, 19, 20, 22, 528 }

C grade: { 136, 138, 141, 226, 228, 254, 256 }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 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, 135, 137, 139, 140, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 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, 227, 229, 230, 231, 232, 233, 234, 235, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 296, 299, 300, 301, 302, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 347, 368, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 384, 385, 386, 388, 389, 390, 392, 393, 394, 397, 398, 399, 400, 401, 402, 403, 404, 405, 408, 409, 410, 411, 414, 415, 416, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 437, 440, 441, 442, 443, 466, 467, 468, 469, 475, 476, 477, 478, 484, 485, 486, 487, 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, 516, 517, 518, 519, 520, 521, 529, 534, 535, 536, 543, 544, 545, 552, 553, 554, 557, 558, 559, 560, 561, 562, 563, 566, 567 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 91 98 248 266 158 238
normalized size 1 1. 0.6 0.65 1.64 1.76 1.05 1.58
time (sec) N/A 0.15 0.156 0.014 1.162 1.733 8.587 1.999
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 166 160 297 243 144 273
normalized size 1 1. 1.23 1.19 2.2 1.8 1.07 2.02
time (sec) N/A 0.139 0.092 0.017 1.095 1.83 5.38 1.878
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 89 90 196 235 133 200
normalized size 1 1. 0.74 0.74 1.62 1.94 1.1 1.65
time (sec) N/A 0.133 0.108 0.01 1.086 1.823 3.122 1.345
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 98 98 100 136 243 221 124 243
normalized size 1 1. 1.02 1.39 2.48 2.26 1.27 2.48
time (sec) N/A 0.042 0.148 0.013 1.109 1.835 1.646 1.497
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 71 73 131 185 97 151
normalized size 1 1. 0.83 0.85 1.52 2.15 1.13 1.76
time (sec) N/A 0.074 0.085 0.011 1.181 1.823 0.755 1.376
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 117 117 116 131 0 0 0 0
normalized size 1 1. 0.99 1.12 0. 0. 0. 0.
time (sec) N/A 0.116 0.174 0.086 0. 0. 0. 0.
Problem 7 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 76 76 110 100 92 289 0 0
normalized size 1 1. 1.45 1.32 1.21 3.8 0. 0.
time (sec) N/A 0.119 0.18 0.016 1.906 1.96 0. 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 135 135 106 140 0 0 0 0
normalized size 1 1. 0.79 1.04 0. 0. 0. 0.
time (sec) N/A 0.129 0.155 0.157 0. 0. 0. 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 127 108 126 328 0 0
normalized size 1 1. 1.41 1.2 1.4 3.64 0. 0.
time (sec) N/A 0.125 0.232 0.018 1.83 1.92 0. 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 264 124 128 431 387 236 402
normalized size 1 1.28 0.6 0.62 2.09 1.88 1.15 1.95
time (sec) N/A 0.293 0.198 0.013 1.18 1.869 26.254 1.5
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 200 284 194 230 504 373 224 451
normalized size 1 1.42 0.97 1.15 2.52 1.86 1.12 2.25
time (sec) N/A 0.277 0.226 0.017 1.414 1.823 17.023 1.575
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 223 116 120 352 351 209 347
normalized size 1 1.26 0.66 0.68 1.99 1.98 1.18 1.96
time (sec) N/A 0.248 0.166 0.011 1.161 1.77 9.92 1.481
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 136 136 126 204 424 328 197 406
normalized size 1 1. 0.93 1.5 3.12 2.41 1.45 2.99
time (sec) N/A 0.067 0.218 0.013 1.216 1.818 6.112 1.66
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 177 99 102 262 296 172 281
normalized size 1 1.24 0.69 0.71 1.83 2.07 1.2 1.97
time (sec) N/A 0.152 0.154 0.013 1.175 1.862 3.441 1.463
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 184 184 162 201 0 0 0 0
normalized size 1 1. 0.88 1.09 0. 0. 0. 0.
time (sec) N/A 0.204 0.261 0.145 0. 0. 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 182 131 167 196 440 0 0
normalized size 1 1.35 0.97 1.24 1.45 3.26 0. 0.
time (sec) N/A 0.23 0.158 0.017 1.869 2.07 0. 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 200 200 182 220 0 0 0 0
normalized size 1 1. 0.91 1.1 0. 0. 0. 0.
time (sec) N/A 0.218 0.25 0.261 0. 0. 0. 0.
Problem 18 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 142 186 135 167 190 452 0 0
normalized size 1 1.31 0.95 1.18 1.34 3.18 0. 0.
time (sec) N/A 0.234 0.16 0.017 1.745 1.964 0. 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 326 147 158 628 510 296 574
normalized size 1 1.27 0.57 0.62 2.45 1.99 1.16 2.24
time (sec) N/A 0.439 0.261 0.018 1.257 1.817 65.246 1.55
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 230 328 162 284 725 475 287 633
normalized size 1 1.43 0.7 1.23 3.15 2.07 1.25 2.75
time (sec) N/A 0.281 0.343 0.019 1.409 1.856 47.403 1.751
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 285 139 150 524 450 272 501
normalized size 1 1.26 0.61 0.66 2.31 1.98 1.2 2.21
time (sec) N/A 0.396 0.269 0.013 1.283 1.814 26.399 1.558
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 166 150 258 620 425 260 574
normalized size 1 1. 0.9 1.55 3.73 2.56 1.57 3.46
time (sec) N/A 0.079 0.365 0.014 1.199 1.92 17.554 1.823
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 237 123 132 408 389 228 417
normalized size 1 1.24 0.64 0.69 2.14 2.04 1.19 2.18
time (sec) N/A 0.262 0.259 0.01 1.144 2.119 9.834 1.605
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 239 239 207 255 0 0 0 0
normalized size 1 1. 0.87 1.07 0. 0. 0. 0.
time (sec) N/A 0.3 0.371 0.162 0. 0. 0. 0.
Problem 25 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 180 239 136 219 315 549 0 0
normalized size 1 1.33 0.76 1.22 1.75 3.05 0. 0.
time (sec) N/A 0.361 0.286 0.017 1.793 2.435 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 267 267 226 275 0 0 0 0
normalized size 1 1. 0.85 1.03 0. 0. 0. 0.
time (sec) N/A 0.318 0.352 0.306 0. 0. 0. 0.
Problem 27 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 195 252 142 223 286 554 0 0
normalized size 1 1.29 0.73 1.14 1.47 2.84 0. 0.
time (sec) N/A 0.39 0.291 0.019 2.189 2.403 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 227 263 0 0 0 0
normalized size 1 1. 1.44 1.66 0. 0. 0. 0.
time (sec) N/A 0.232 0.307 0.132 0. 0. 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 151 244 0 0 0 0
normalized size 1 1. 1.08 1.74 0. 0. 0. 0.
time (sec) N/A 0.198 0.297 0.087 0. 0. 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 155 208 0 0 0 0
normalized size 1 1. 1.52 2.04 0. 0. 0. 0.
time (sec) N/A 0.138 0.149 0.073 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 74 74 85 179 0 0 0 0
normalized size 1 1. 1.15 2.42 0. 0. 0. 0.
time (sec) N/A 0.116 0.086 0.036 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 59 59 64 338 0 0 0 0
normalized size 1 1. 1.08 5.73 0. 0. 0. 0.
time (sec) N/A 0.065 0.067 0.283 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 61 61 93 91 0 0 0 0
normalized size 1 1. 1.52 1.49 0. 0. 0. 0.
time (sec) N/A 0.127 0.148 0.05 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 132 161 0 0 0 0
normalized size 1 1. 1.39 1.69 0. 0. 0. 0.
time (sec) N/A 0.14 0.358 0.108 0. 0. 0. 0.
Problem 35 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 118 118 144 301 0 0 0 0
normalized size 1 1. 1.22 2.55 0. 0. 0. 0.
time (sec) N/A 0.197 0.527 0.092 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 157 157 223 225 0 0 0 0
normalized size 1 1. 1.42 1.43 0. 0. 0. 0.
time (sec) N/A 0.234 0.342 0.126 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 177 244 300 0 0 0 0
normalized size 1 1. 1.38 1.69 0. 0. 0. 0.
time (sec) N/A 0.225 1.046 0.249 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 209 309 0 0 0 0
normalized size 1 1. 1.17 1.73 0. 0. 0. 0.
time (sec) N/A 0.204 0.621 0.192 0. 0. 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 206 255 0 0 0 0
normalized size 1 1. 1.66 2.06 0. 0. 0. 0.
time (sec) N/A 0.135 0.74 0.099 0. 0. 0. 0.
Problem 40 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 61 61 53 64 223 136 0 0
normalized size 1 1. 0.87 1.05 3.66 2.23 0. 0.
time (sec) N/A 0.052 0.134 0.013 1.272 1.765 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 189 252 0 0 0 0
normalized size 1 1. 1.58 2.1 0. 0. 0. 0.
time (sec) N/A 0.095 1.345 0.062 0. 0. 0. 0.
Problem 42 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 116 116 149 339 0 0 0 0
normalized size 1 1. 1.28 2.92 0. 0. 0. 0.
time (sec) N/A 0.18 0.748 0.094 0. 0. 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 283 259 0 0 0 0
normalized size 1 1. 1.66 1.52 0. 0. 0. 0.
time (sec) N/A 0.184 0.744 0.139 0. 0. 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 319 371 0 0 0 0
normalized size 1 1. 2.1 2.44 0. 0. 0. 0.
time (sec) N/A 0.262 0.561 0.112 0. 0. 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 248 248 377 352 0 0 0 0
normalized size 1 1. 1.52 1.42 0. 0. 0. 0.
time (sec) N/A 0.291 1.668 0.188 0. 0. 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 249 249 287 383 0 0 0 0
normalized size 1 1. 1.15 1.54 0. 0. 0. 0.
time (sec) N/A 0.239 1.811 0.425 0. 0. 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 83 136 0 209 0 0
normalized size 1 1. 0.61 1. 0. 1.54 0. 0.
time (sec) N/A 0.105 0.234 0.023 0. 1.919 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 287 380 0 0 0 0
normalized size 1 1. 1.54 2.04 0. 0. 0. 0.
time (sec) N/A 0.179 1.733 0.153 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 64 86 0 208 0 0
normalized size 1 1. 0.7 0.95 0. 2.29 0. 0.
time (sec) N/A 0.058 0.204 0.015 0. 1.863 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 180 180 316 378 0 0 0 0
normalized size 1 1. 1.76 2.1 0. 0. 0. 0.
time (sec) N/A 0.134 1.161 0.106 0. 0. 0. 0.
Problem 51 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 171 171 210 508 0 0 0 0
normalized size 1 1. 1.23 2.97 0. 0. 0. 0.
time (sec) N/A 0.261 1.423 0.182 0. 0. 0. 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 230 230 362 392 0 0 0 0
normalized size 1 1. 1.57 1.7 0. 0. 0. 0.
time (sec) N/A 0.244 1.851 0.18 0. 0. 0. 0.
Problem 53 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 250 250 273 641 0 0 0 0
normalized size 1 1. 1.09 2.56 0. 0. 0. 0.
time (sec) N/A 0.367 2.905 0.238 0. 0. 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 310 310 471 504 0 0 0 0
normalized size 1 1. 1.52 1.63 0. 0. 0. 0.
time (sec) N/A 0.387 1.969 0.237 0. 0. 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 53 53 77 321 0 0 0 0
normalized size 1 1. 1.45 6.06 0. 0. 0. 0.
time (sec) N/A 0.052 0.047 0.017 0. 0. 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 120 184 0 0 0 0
normalized size 1 1. 1.1 1.69 0. 0. 0. 0.
time (sec) N/A 0.08 0.834 0.078 0. 0. 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 164 164 223 276 0 0 0 0
normalized size 1 1. 1.36 1.68 0. 0. 0. 0.
time (sec) N/A 0.113 2.343 0.088 0. 0. 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 198 449 0 0 0 0
normalized size 1 1. 0.71 1.62 0. 0. 0. 0.
time (sec) N/A 0.782 1.142 0.514 0. 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 151 346 0 0 0 0
normalized size 1 1. 0.75 1.72 0. 0. 0. 0.
time (sec) N/A 0.579 1.035 0.269 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 144 239 0 0 0 0
normalized size 1 1. 1.16 1.93 0. 0. 0. 0.
time (sec) N/A 0.204 0.569 0.161 0. 0. 0. 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 137 286 0 0 0 0
normalized size 1 1. 1.16 2.42 0. 0. 0. 0.
time (sec) N/A 0.368 0.433 0.241 0. 0. 0. 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 127 88 1017 0 986 0 0
normalized size 1 1.07 0.74 8.55 0. 8.29 0. 0.
time (sec) N/A 0.285 0.121 0.286 0. 2.265 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 226 128 1741 0 1158 0 0
normalized size 1 1.14 0.64 8.75 0. 5.82 0. 0.
time (sec) N/A 0.346 0.201 0.335 0. 2.288 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 303 146 2534 0 1320 0 0
normalized size 1 1.09 0.52 9.08 0. 4.73 0. 0.
time (sec) N/A 0.378 0.257 0.363 0. 2.269 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 302 152 988 0 448 0 0
normalized size 1 1.11 0.56 3.63 0. 1.65 0. 0.
time (sec) N/A 0.352 0.342 0.421 0. 1.877 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 214 128 640 0 373 0 0
normalized size 1 1.1 0.66 3.28 0. 1.91 0. 0.
time (sec) N/A 0.323 0.18 0.353 0. 1.833 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 126 98 356 109 301 0 0
normalized size 1 1.07 0.83 3.02 0.92 2.55 0. 0.
time (sec) N/A 0.212 0.128 0.244 1.139 1.777 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 233 394 0 0 0 0
normalized size 1 1. 1.09 1.85 0. 0. 0. 0.
time (sec) N/A 0.524 0.834 0.247 0. 0. 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 235 235 307 438 0 0 0 0
normalized size 1 1. 1.31 1.86 0. 0. 0. 0.
time (sec) N/A 0.52 1.024 0.266 0. 0. 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 315 315 290 541 0 0 0 0
normalized size 1 1. 0.92 1.72 0. 0. 0. 0.
time (sec) N/A 0.743 1.024 0.327 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 360 372 337 561 0 0 0 0
normalized size 1 1.03 0.94 1.56 0. 0. 0. 0.
time (sec) N/A 1.064 4.513 0.353 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 281 293 270 456 0 0 0 0
normalized size 1 1.04 0.96 1.62 0. 0. 0. 0.
time (sec) N/A 0.841 1.85 0.289 0. 0. 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 200 212 235 344 0 0 0 0
normalized size 1 1.06 1.18 1.72 0. 0. 0. 0.
time (sec) N/A 0.321 1.195 0.155 0. 0. 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 197 209 223 427 0 0 0 0
normalized size 1 1.06 1.13 2.17 0. 0. 0. 0.
time (sec) N/A 0.536 1.011 0.204 0. 0. 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 215 259 1181 0 0 0 0
normalized size 1 1.06 1.28 5.82 0. 0. 0. 0.
time (sec) N/A 0.634 0.763 0.227 0. 0. 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 179 94 2171 0 1207 0 0
normalized size 1 1.08 0.57 13.08 0. 7.27 0. 0.
time (sec) N/A 0.354 0.077 0.256 0. 2.698 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 322 136 3144 0 1400 0 0
normalized size 1 1.3 0.55 12.73 0. 5.67 0. 0.
time (sec) N/A 0.445 0.138 0.311 0. 2.778 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 328 401 154 4259 0 1624 0 0
normalized size 1 1.22 0.47 12.98 0. 4.95 0. 0.
time (sec) N/A 0.513 0.313 0.387 0. 2.976 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 409 480 170 5518 0 1806 0 0
normalized size 1 1.17 0.42 13.49 0. 4.42 0. 0.
time (sec) N/A 0.606 0.417 0.493 0. 3.08 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 399 460 182 1846 0 670 0 0
normalized size 1 1.15 0.46 4.63 0. 1.68 0. 0.
time (sec) N/A 0.496 0.223 0.497 0. 2.304 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 321 366 164 1376 0 568 0 0
normalized size 1 1.14 0.51 4.29 0. 1.77 0. 0.
time (sec) N/A 0.437 0.175 0.379 0. 2.211 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 272 150 966 0 482 0 0
normalized size 1 1.12 0.62 3.98 0. 1.98 0. 0.
time (sec) N/A 0.412 0.221 0.31 0. 2.218 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 178 107 620 138 398 0 0
normalized size 1 1.08 0.65 3.76 0.84 2.41 0. 0.
time (sec) N/A 0.265 0.208 0.217 1.15 2.163 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 292 304 336 499 0 0 0 0
normalized size 1 1.04 1.15 1.71 0. 0. 0. 0.
time (sec) N/A 0.789 1.168 0.218 0. 0. 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 311 323 500 542 0 0 0 0
normalized size 1 1.04 1.61 1.74 0. 0. 0. 0.
time (sec) N/A 0.801 1.466 0.222 0. 0. 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 321 333 574 570 0 0 0 0
normalized size 1 1.04 1.79 1.78 0. 0. 0. 0.
time (sec) N/A 0.837 1.184 0.241 0. 0. 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 454 485 581 690 0 0 0 0
normalized size 1 1.07 1.28 1.52 0. 0. 0. 0.
time (sec) N/A 1.385 6.548 0.49 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 402 415 581 0 0 0 0
normalized size 1 1.08 1.12 1.57 0. 0. 0. 0.
time (sec) N/A 1.171 4.5 0.335 0. 0. 0. 0.
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 324 347 462 0 0 0 0
normalized size 1 1.11 1.18 1.58 0. 0. 0. 0.
time (sec) N/A 0.543 2.277 0.204 0. 0. 0. 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 284 315 305 550 0 0 0 0
normalized size 1 1.11 1.07 1.94 0. 0. 0. 0.
time (sec) N/A 0.678 1.669 0.255 0. 0. 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 324 319 1407 0 0 0 0
normalized size 1 1.11 1.09 4.8 0. 0. 0. 0.
time (sec) N/A 0.86 1.36 0.265 0. 0. 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 324 400 2429 0 0 0 0
normalized size 1 1.11 1.37 8.29 0. 0. 0. 0.
time (sec) N/A 0.947 3.187 0.275 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 234 105 3775 0 1473 0 0
normalized size 1 1.07 0.48 17.24 0. 6.73 0. 0.
time (sec) N/A 0.379 0.095 0.301 0. 2.699 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 314 448 147 5006 0 1715 0 0
normalized size 1 1.43 0.47 15.94 0. 5.46 0. 0.
time (sec) N/A 0.526 0.163 0.398 0. 2.923 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 519 165 6379 0 1979 0 0
normalized size 1 1.35 0.43 16.57 0. 5.14 0. 0.
time (sec) N/A 0.579 0.198 0.543 0. 3.096 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 458 527 193 2374 0 833 0 0
normalized size 1 1.15 0.42 5.18 0. 1.82 0. 0.
time (sec) N/A 0.516 0.247 0.5 0. 2.292 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 378 429 175 1840 0 722 0 0
normalized size 1 1.13 0.46 4.87 0. 1.91 0. 0.
time (sec) N/A 0.468 0.192 0.415 0. 2.125 0. 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 331 160 1102 0 602 0 0
normalized size 1 1.11 0.54 3.7 0. 2.02 0. 0.
time (sec) N/A 0.424 0.146 0.317 0. 2.179 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 233 117 956 159 502 0 0
normalized size 1 1.07 0.54 4.39 0.73 2.3 0. 0.
time (sec) N/A 0.282 0.233 0.267 1.223 2.13 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 379 410 471 620 0 0 0 0
normalized size 1 1.08 1.24 1.64 0. 0. 0. 0.
time (sec) N/A 1.059 3.576 0.258 0. 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 404 435 596 667 0 0 0 0
normalized size 1 1.08 1.48 1.65 0. 0. 0. 0.
time (sec) N/A 1.064 3.896 0.27 0. 0. 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 407 438 660 691 0 0 0 0
normalized size 1 1.08 1.62 1.7 0. 0. 0. 0.
time (sec) N/A 1.083 1.391 0.283 0. 0. 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 66 84 54 152 0 0 0 0
normalized size 1 1.27 0.82 2.3 0. 0. 0. 0.
time (sec) N/A 0.104 0.111 0.147 0. 0. 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 260 140 670 0 382 0 0
normalized size 1 1.1 0.59 2.84 0. 1.62 0. 0.
time (sec) N/A 0.709 0.254 0.314 0. 2.137 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 228 171 408 0 0 0 0
normalized size 1 1.08 0.81 1.92 0. 0. 0. 0.
time (sec) N/A 0.648 0.843 0.355 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 172 113 382 0 308 0 0
normalized size 1 1.1 0.72 2.45 0. 1.97 0. 0.
time (sec) N/A 0.496 0.212 0.234 0. 2.46 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 140 141 291 0 0 0 0
normalized size 1 1.06 1.07 2.2 0. 0. 0. 0.
time (sec) N/A 0.398 0.61 0.225 0. 0. 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 80 85 158 85 236 0 0
normalized size 1 1.11 1.18 2.19 1.18 3.28 0. 0.
time (sec) N/A 0.21 0.159 0.15 1.178 2.087 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 89 0 0 0 0
normalized size 1 1. 1. 1.68 0. 0. 0. 0.
time (sec) N/A 0.121 0.034 0.043 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 153 327 0 0 0 0
normalized size 1 1. 1.01 2.17 0. 0. 0. 0.
time (sec) N/A 0.333 0.273 0.195 0. 0. 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 79 71 219 0 586 0 0
normalized size 1 1.11 1. 3.08 0. 8.25 0. 0.
time (sec) N/A 0.303 0.065 0.167 0. 2.518 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 238 246 309 489 0 0 0 0
normalized size 1 1.03 1.3 2.05 0. 0. 0. 0.
time (sec) N/A 0.541 1.036 0.243 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 171 174 854 0 999 0 0
normalized size 1 1.1 1.12 5.51 0. 6.45 0. 0.
time (sec) N/A 0.506 0.317 0.215 0. 2.593 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 262 145 431 0 1046 0 0
normalized size 1 1.12 0.62 1.85 0. 4.49 0. 0.
time (sec) N/A 0.434 0.102 0.285 0. 2.684 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 237 192 445 0 0 0 0
normalized size 1 1.05 0.85 1.97 0. 0. 0. 0.
time (sec) N/A 0.681 1.434 0.306 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 163 97 313 0 915 0 0
normalized size 1 1.09 0.65 2.09 0. 6.1 0. 0.
time (sec) N/A 0.385 0.069 0.218 0. 2.545 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 159 279 0 0 0 0
normalized size 1 1. 1.11 1.95 0. 0. 0. 0.
time (sec) N/A 0.454 0.655 0.18 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 90 198 0 697 0 0
normalized size 1 1. 1.18 2.61 0. 9.17 0. 0.
time (sec) N/A 0.248 0.229 0.136 0. 2.812 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 72 180 95 0 0 0
normalized size 1 1. 0.86 2.14 1.13 0. 0. 0.
time (sec) N/A 0.144 0.029 0.102 1.2 0. 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 301 511 0 0 0 0
normalized size 1 1. 1.31 2.23 0. 0. 0. 0.
time (sec) N/A 0.591 2.371 0.217 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 159 114 242 0 0 0 0
normalized size 1 1.01 0.72 1.53 0. 0. 0. 0.
time (sec) N/A 0.397 0.084 0.139 0. 0. 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 329 405 648 0 0 0 0
normalized size 1 1. 1.23 1.97 0. 0. 0. 0.
time (sec) N/A 0.862 4.29 0.227 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 161 1050 0 0 0 0
normalized size 1 1. 0.64 4.2 0. 0. 0. 0.
time (sec) N/A 0.458 0.116 0.211 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 280 167 466 0 1149 0 0
normalized size 1 1.15 0.69 1.92 0. 4.73 0. 0.
time (sec) N/A 0.443 0.165 0.273 0. 2.675 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 224 251 225 1519 0 0 0 0
normalized size 1 1.12 1. 6.78 0. 0. 0. 0.
time (sec) N/A 0.757 0.71 0.308 0. 0. 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 243 122 313 236 1013 0 0
normalized size 1 1.54 0.77 1.98 1.49 6.41 0. 0.
time (sec) N/A 0.448 0.122 0.208 1.276 2.581 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 160 101 1228 228 0 0 0
normalized size 1 1.2 0.76 9.23 1.71 0. 0. 0.
time (sec) N/A 0.405 0.199 0.202 1.283 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 154 119 249 0 910 0 0
normalized size 1 1.21 0.94 1.96 0. 7.17 0. 0.
time (sec) N/A 0.276 0.255 0.164 0. 2.598 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 189 132 1073 212 0 0 0
normalized size 1 1.17 0.81 6.62 1.31 0. 0. 0.
time (sec) N/A 0.268 0.084 0.143 1.22 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 317 332 377 619 0 0 0 0
normalized size 1 1.05 1.19 1.95 0. 0. 0. 0.
time (sec) N/A 0.832 7.011 0.243 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 279 147 1350 0 0 0 0
normalized size 1 1.12 0.59 5.44 0. 0. 0. 0.
time (sec) N/A 0.442 0.337 0.194 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 479 509 500 801 0 0 0 0
normalized size 1 1.06 1.04 1.67 0. 0. 0. 0.
time (sec) N/A 1.143 7.207 0.285 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 383 169 1878 0 0 0 0
normalized size 1 1.13 0.5 5.56 0. 0. 0. 0.
time (sec) N/A 0.541 0.398 0.209 0. 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 276 116 419 258 0 0 192
normalized size 1 1.12 0.47 1.7 1.05 0. 0. 0.78
time (sec) N/A 0.339 0.088 0.229 1.27 0. 0. 1.456
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 206 93 456 0 0 0 0
normalized size 1 1.42 0.64 3.14 0. 0. 0. 0.
time (sec) N/A 0.501 0.255 0.299 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 158 74 311 84 209 0 89
normalized size 1 1.44 0.67 2.83 0.76 1.9 0. 0.81
time (sec) N/A 0.392 0.123 0.207 1.928 2.132 0. 1.223
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 125 75 223 0 0 0 0
normalized size 1 1.42 0.85 2.53 0. 0. 0. 0.
time (sec) N/A 0.324 0.156 0.186 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 73 55 123 38 151 0 54
normalized size 1 1.49 1.12 2.51 0.78 3.08 0. 1.1
time (sec) N/A 0.177 0.084 0.12 1.166 2.066 0. 1.186
Problem 139 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 32 45 45 51 0 0 0 0
normalized size 1 1.41 1.41 1.59 0. 0. 0. 0.
time (sec) N/A 0.098 0.02 0.034 0. 0. 0. 0.
Problem 140 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 103 142 113 270 0 0 0 0
normalized size 1 1.38 1.1 2.62 0. 0. 0. 0.
time (sec) N/A 0.276 0.142 0.142 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B C F(-2) F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 72 57 168 99 0 0 116
normalized size 1 1.5 1.19 3.5 2.06 0. 0. 2.42
time (sec) N/A 0.254 0.03 0.136 1.788 0. 0. 1.208
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 167 230 234 349 0 0 0 0
normalized size 1 1.38 1.4 2.09 0. 0. 0. 0.
time (sec) N/A 0.471 0.29 0.206 0. 0. 0. 0.
Problem 143 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 98 111 100 0 0 0 0 0
normalized size 1 1.13 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.358 0.106 0.277 0. 0. 0. 0.
Problem 144 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 141 141 115 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.383 0.045 0.363 0. 0. 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 429 387 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 2.755 1.169 3.132 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 307 307 290 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.501 0.437 2.434 0. 0. 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 191 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.258 0.23 2.286 0. 0. 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.072 3.955 0.484 0. 0. 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 160 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 5.898 0.562 0. 0. 0. 0.
Problem 150 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 293 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.335 6.525 0.569 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 723 764 350 0 0 0 0 0
normalized size 1 1.06 0.48 0. 0. 0. 0. 0.
time (sec) N/A 1.388 1.421 1.507 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 455 477 274 0 0 0 0 0
normalized size 1 1.05 0.6 0. 0. 0. 0. 0.
time (sec) N/A 0.904 0.797 1.326 0. 0. 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 288 223 0 0 0 0 0
normalized size 1 1.04 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.577 0.283 1.338 0. 0. 0. 0.
Problem 154 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 176 176 147 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.352 0.076 0.45 0. 0. 0. 0.
Problem 155 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 300 300 216 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.66 0.242 0.598 0. 0. 0. 0.
Problem 156 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 450 465 319 0 0 0 0 0
normalized size 1 1.03 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.993 0.719 0.582 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 817 827 387 0 0 0 0 0
normalized size 1 1.01 0.47 0. 0. 0. 0. 0.
time (sec) N/A 1.58 2.575 2.239 0. 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 513 288 0 0 0 0 0
normalized size 1 1.02 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.991 1.044 1.931 0. 0. 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 302 312 229 0 0 0 0 0
normalized size 1 1.03 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.557 0.218 1.584 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 188 188 264 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 0.559 6.009 0.505 0. 0. 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 336 336 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.943 2.454 0.659 0. 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 504 504 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.452 2.485 0.677 0. 0. 0. 0.
Problem 163 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 128 141 124 0 0 0 0 0
normalized size 1 1.1 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.287 0.077 0.368 0. 0. 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 125 188 240 416 243 227
normalized size 1 1. 0.47 0.71 0.9 1.56 0.91 0.85
time (sec) N/A 0.676 0.28 0.148 1.209 2.037 15.05 1.185
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 101 140 181 321 182 184
normalized size 1 1. 0.52 0.72 0.93 1.65 0.93 0.94
time (sec) N/A 0.462 0.222 0.047 1.241 2.028 4.988 1.198
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 73 90 103 216 105 127
normalized size 1 1. 0.65 0.8 0.92 1.93 0.94 1.13
time (sec) N/A 0.263 0.109 0.04 1.155 2.088 1.257 1.192
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 98 98 95 201 0 0 0 0
normalized size 1 1. 0.97 2.05 0. 0. 0. 0.
time (sec) N/A 0.098 0.079 0.043 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 191 288 0 0 0 0
normalized size 1 1. 1.17 1.77 0. 0. 0. 0.
time (sec) N/A 0.287 0.918 0.084 0. 0. 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 258 258 319 443 0 0 0 0
normalized size 1 1. 1.24 1.72 0. 0. 0. 0.
time (sec) N/A 0.493 4.804 0.143 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 237 1284 0 753 0 0
normalized size 1 1. 0.64 3.46 0. 2.03 0. 0.
time (sec) N/A 1.056 0.427 0.544 0. 2.276 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 241 767 0 0 0 0
normalized size 1 1. 0.76 2.4 0. 0. 0. 0.
time (sec) N/A 0.93 1.991 0.376 0. 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 194 181 726 275 591 0 0
normalized size 1 1.04 0.97 3.9 1.48 3.18 0. 0.
time (sec) N/A 0.37 0.348 0.366 1.132 2.275 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 235 528 0 0 0 0
normalized size 1 1. 1.15 2.59 0. 0. 0. 0.
time (sec) N/A 0.349 1.04 0.224 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 402 402 449 0 0 0 0 0
normalized size 1 1. 1.12 0. 0. 0. 0. 0.
time (sec) N/A 0.786 1.22 0.349 0. 0. 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 234 234 270 582 0 0 0 0
normalized size 1 1. 1.15 2.49 0. 0. 0. 0.
time (sec) N/A 0.631 1.624 0.336 0. 0. 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 547 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.877 79.753 0.348 0. 0. 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 336 344 304 2633 0 0 0 0
normalized size 1 1.02 0.9 7.84 0. 0. 0. 0.
time (sec) N/A 0.583 0.991 0.394 0. 0. 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 495 507 262 1952 0 996 0 0
normalized size 1 1.02 0.53 3.94 0. 2.01 0. 0.
time (sec) N/A 1.674 0.588 0.536 0. 2.377 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 441 453 485 1021 0 0 0 0
normalized size 1 1.03 1.1 2.32 0. 0. 0. 0.
time (sec) N/A 1.477 4.283 0.444 0. 0. 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 361 208 1270 375 801 0 0
normalized size 1 1.04 0.6 3.65 1.08 2.3 0. 0.
time (sec) N/A 0.554 0.497 0.382 1.176 2.274 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 336 348 374 775 0 0 0 0
normalized size 1 1.04 1.11 2.31 0. 0. 0. 0.
time (sec) N/A 0.609 2.924 0.263 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 573 585 650 0 0 0 0 0
normalized size 1 1.02 1.13 0. 0. 0. 0. 0.
time (sec) N/A 1.255 2.71 0.333 0. 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 453 465 433 942 0 0 0 0
normalized size 1 1.03 0.96 2.08 0. 0. 0. 0.
time (sec) N/A 0.966 3.985 0.329 0. 0. 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 630 642 1129 0 0 0 0 0
normalized size 1 1.02 1.79 0. 0. 0. 0. 0.
time (sec) N/A 1.374 168.74 0.35 0. 0. 0. 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 426 438 583 2879 0 0 0 0
normalized size 1 1.03 1.37 6.76 0. 0. 0. 0.
time (sec) N/A 1.167 2.056 0.342 0. 0. 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 880 911 288 2224 0 1231 0 0
normalized size 1 1.04 0.33 2.53 0. 1.4 0. 0.
time (sec) N/A 2.345 0.708 0.536 0. 2.556 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 841 872 910 1312 0 0 0 0
normalized size 1 1.04 1.08 1.56 0. 0. 0. 0.
time (sec) N/A 2.124 5.828 0.533 0. 0. 0. 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 470 485 234 1958 455 1031 0 0
normalized size 1 1.03 0.5 4.17 0.97 2.19 0. 0.
time (sec) N/A 0.68 0.592 0.468 1.322 2.568 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 486 517 740 1053 0 0 0 0
normalized size 1 1.06 1.52 2.17 0. 0. 0. 0.
time (sec) N/A 0.868 3.367 0.339 0. 0. 0. 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 836 867 1031 0 0 0 0 0
normalized size 1 1.04 1.23 0. 0. 0. 0. 0.
time (sec) N/A 1.776 7.19 0.413 0. 0. 0. 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 607 638 554 1227 0 0 0 0
normalized size 1 1.05 0.91 2.02 0. 0. 0. 0.
time (sec) N/A 1.29 5.719 0.411 0. 0. 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 890 921 1384 0 0 0 0 0
normalized size 1 1.03 1.56 0. 0. 0. 0. 0.
time (sec) N/A 1.985 95.217 0.444 0. 0. 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 638 669 803 3431 0 0 0 0
normalized size 1 1.05 1.26 5.38 0. 0. 0. 0.
time (sec) N/A 1.615 3.358 0.434 0. 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 421 445 255 1314 0 771 0 0
normalized size 1 1.06 0.61 3.12 0. 1.83 0. 0.
time (sec) N/A 1.131 0.539 0.477 0. 2.179 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 355 371 295 887 0 0 0 0
normalized size 1 1.05 0.83 2.5 0. 0. 0. 0.
time (sec) N/A 1.024 1.524 0.48 0. 0. 0. 0.
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 308 201 752 0 598 0 0
normalized size 1 1.05 0.69 2.58 0. 2.05 0. 0.
time (sec) N/A 0.769 0.445 0.375 0. 2.207 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 234 228 624 0 0 0 0
normalized size 1 1.04 1.01 2.76 0. 0. 0. 0.
time (sec) N/A 0.626 0.863 0.309 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 163 149 314 196 448 0 0
normalized size 1 1.05 0.96 2.03 1.26 2.89 0. 0.
time (sec) N/A 0.342 0.38 0.236 1.143 2.198 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 149 0 0 0 0
normalized size 1 1. 1. 2.81 0. 0. 0. 0.
time (sec) N/A 0.195 0.05 0.066 0. 0. 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 273 273 315 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.521 0.629 0.315 0. 0. 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 186 194 179 513 0 0 0 0
normalized size 1 1.04 0.96 2.76 0. 0. 0. 0.
time (sec) N/A 0.519 0.84 0.257 0. 0. 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 430 438 697 0 0 0 0 0
normalized size 1 1.02 1.62 0. 0. 0. 0. 0.
time (sec) N/A 0.881 86.907 0.354 0. 0. 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 328 344 346 2198 0 0 0 0
normalized size 1 1.05 1.05 6.7 0. 0. 0. 0.
time (sec) N/A 0.869 1.58 0.338 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 556 578 358 1099 0 0 0 0
normalized size 1 1.04 0.64 1.98 0. 0. 0. 0.
time (sec) N/A 1.367 3.784 0.486 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 440 451 343 1141 0 0 0 0
normalized size 1 1.02 0.78 2.59 0. 0. 0. 0.
time (sec) N/A 1.205 1.954 0.495 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 413 424 302 836 0 0 0 0
normalized size 1 1.03 0.73 2.02 0. 0. 0. 0.
time (sec) N/A 0.921 1.584 0.394 0. 0. 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 257 257 270 738 0 0 0 0
normalized size 1 1. 1.05 2.87 0. 0. 0. 0.
time (sec) N/A 0.795 2.007 0.333 0. 0. 0. 0.
Problem 208 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 196 196 210 542 0 0 0 0
normalized size 1 1. 1.07 2.77 0. 0. 0. 0.
time (sec) N/A 0.445 0.965 0.269 0. 0. 0. 0.
Problem 209 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 198 198 126 578 0 0 0 0
normalized size 1 1. 0.64 2.92 0. 0. 0. 0.
time (sec) N/A 0.351 0.439 0.216 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 471 471 577 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.964 3.526 0.36 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 341 341 315 826 0 0 0 0
normalized size 1 1. 0.92 2.42 0. 0. 0. 0.
time (sec) N/A 0.936 1.631 0.286 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 650 650 979 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 1.486 91.392 0.372 0. 0. 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 496 496 529 2868 0 0 0 0
normalized size 1 1. 1.07 5.78 0. 0. 0. 0.
time (sec) N/A 1.461 2.515 0.385 0. 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 568 594 437 1211 0 0 0 0
normalized size 1 1.05 0.77 2.13 0. 0. 0. 0.
time (sec) N/A 1.476 5.564 0.479 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 482 497 382 4074 0 0 0 0
normalized size 1 1.03 0.79 8.45 0. 0. 0. 0.
time (sec) N/A 1.333 2.57 0.492 0. 0. 0. 0.
Problem 216 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 336 351 341 835 0 0 0 0
normalized size 1 1.04 1.01 2.49 0. 0. 0. 0.
time (sec) N/A 0.969 4.462 0.408 0. 0. 0. 0.
Problem 217 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 389 404 264 3445 0 0 0 0
normalized size 1 1.04 0.68 8.86 0. 0. 0. 0.
time (sec) N/A 0.731 1.678 0.352 0. 0. 0. 0.
Problem 218 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 298 313 332 720 0 0 0 0
normalized size 1 1.05 1.11 2.42 0. 0. 0. 0.
time (sec) N/A 0.473 2.494 0.33 0. 0. 0. 0.
Problem 219 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 331 346 289 3050 0 0 0 0
normalized size 1 1.05 0.87 9.21 0. 0. 0. 0.
time (sec) N/A 0.56 1.489 0.289 0. 0. 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 597 612 806 0 0 0 0 0
normalized size 1 1.03 1.35 0. 0. 0. 0. 0.
time (sec) N/A 1.33 10.827 0.361 0. 0. 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 476 506 457 3798 0 0 0 0
normalized size 1 1.06 0.96 7.98 0. 0. 0. 0.
time (sec) N/A 1.191 3.125 0.352 0. 0. 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 796 826 1181 0 0 0 0 0
normalized size 1 1.04 1.48 0. 0. 0. 0. 0.
time (sec) N/A 1.938 98. 0.449 0. 0. 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 562 607 534 5251 0 0 0 0
normalized size 1 1.08 0.95 9.34 0. 0. 0. 0.
time (sec) N/A 1.821 3.686 0.392 0. 0. 0. 0.
Problem 224 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 429 459 220 794 0 0 0 0
normalized size 1 1.07 0.51 1.85 0. 0. 0. 0.
time (sec) N/A 0.672 1.415 0.255 0. 0. 0. 0.
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 329 116 488 0 0 0 0
normalized size 1 1.35 0.48 2.01 0. 0. 0. 0.
time (sec) N/A 0.793 0.266 0.28 0. 0. 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 237 123 343 142 324 0 161
normalized size 1 1.34 0.69 1.94 0.8 1.83 0. 0.91
time (sec) N/A 0.592 0.151 0.192 1.746 2.203 0. 1.192
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 207 87 239 0 0 0 0
normalized size 1 1.37 0.58 1.58 0. 0. 0. 0.
time (sec) N/A 0.51 0.17 0.162 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 109 54 139 68 246 0 103
normalized size 1 1.38 0.68 1.76 0.86 3.11 0. 1.3
time (sec) N/A 0.272 0.094 0.13 1.101 2.146 0. 1.174
Problem 229 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 32 45 45 51 0 0 0 0
normalized size 1 1.41 1.41 1.59 0. 0. 0. 0.
time (sec) N/A 0.15 0.024 0.038 0. 0. 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 183 248 151 0 0 0 0 0
normalized size 1 1.36 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.42 0.185 0.158 0. 0. 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 174 111 241 0 0 0 0
normalized size 1 1.4 0.9 1.94 0. 0. 0. 0.
time (sec) N/A 0.444 0.45 0.151 0. 0. 0. 0.
Problem 232 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 296 398 233 0 0 0 0 0
normalized size 1 1.34 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.723 0.982 0.163 0. 0. 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 1153 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.545 1.632 1.329 0. 0. 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 583 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.523 0.513 1.082 0. 0. 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 239 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.448 0.335 1.018 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.474 3.436 0.406 0. 0. 0. 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.561 4.433 0.539 0. 0. 0. 0.
Problem 238 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.557 4.627 0.55 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.37 0.739 0.341 0. 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 505 505 179 294 373 605 367 333
normalized size 1 1. 0.35 0.58 0.74 1.2 0.73 0.66
time (sec) N/A 1.408 0.413 0.076 1.154 2.177 24.537 1.345
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 388 388 147 218 284 467 274 273
normalized size 1 1. 0.38 0.56 0.73 1.2 0.71 0.7
time (sec) N/A 0.844 0.21 0.056 1.201 2.178 8.767 1.337
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 109 140 167 316 160 196
normalized size 1 1. 0.62 0.8 0.95 1.81 0.91 1.12
time (sec) N/A 0.477 0.116 0.049 1.227 2.177 2.49 1.318
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 129 273 0 0 0 0
normalized size 1 1. 0.9 1.9 0. 0. 0. 0.
time (sec) N/A 0.129 0.099 0.043 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 260 260 276 464 0 0 0 0
normalized size 1 1. 1.06 1.78 0. 0. 0. 0.
time (sec) N/A 0.442 2.252 0.095 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 387 387 455 710 0 0 0 0
normalized size 1 1. 1.18 1.83 0. 0. 0. 0.
time (sec) N/A 0.814 8.253 0.171 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 605 636 189 887 0 0 0 0
normalized size 1 1.05 0.31 1.47 0. 0. 0. 0.
time (sec) N/A 1.497 1.153 0.259 0. 0. 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 402 414 148 536 0 0 0 0
normalized size 1 1.03 0.37 1.33 0. 0. 0. 0.
time (sec) N/A 0.946 0.493 0.174 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 98 256 0 0 0 0
normalized size 1 1. 0.42 1.11 0. 0. 0. 0.
time (sec) N/A 0.537 0.201 0.204 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 55 0 0 0 0
normalized size 1 1. 1. 1.2 0. 0. 0. 0.
time (sec) N/A 0.156 0.031 0.039 0. 0. 0. 0.
Problem 250 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 241 241 145 548 0 0 0 0
normalized size 1 1. 0.6 2.27 0. 0. 0. 0.
time (sec) N/A 0.349 0.24 0.21 0. 0. 0. 0.
Problem 251 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 413 428 258 955 0 0 0 0
normalized size 1 1.04 0.62 2.31 0. 0. 0. 0.
time (sec) N/A 0.638 0.942 0.315 0. 0. 0. 0.
Problem 252 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 607 637 363 1319 0 0 0 0
normalized size 1 1.05 0.6 2.17 0. 0. 0. 0.
time (sec) N/A 1.077 1.711 0.359 0. 0. 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 427 136 520 0 0 0 0
normalized size 1 1.36 0.43 1.65 0. 0. 0. 0.
time (sec) N/A 1.442 0.439 0.28 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 329 140 375 177 447 0 200
normalized size 1 1.35 0.58 1.54 0.73 1.84 0. 0.82
time (sec) N/A 1.026 0.156 0.198 1.803 2.204 0. 1.34
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 257 98 255 0 0 0 0
normalized size 1 1.37 0.52 1.36 0. 0. 0. 0.
time (sec) N/A 0.765 0.222 0.165 0. 0. 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 153 101 155 88 348 0 139
normalized size 1 1.39 0.92 1.41 0.8 3.16 0. 1.26
time (sec) N/A 0.393 0.099 0.121 1.146 2.174 0. 1.28
Problem 257 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 32 45 45 51 0 0 0 0
normalized size 1 1.41 1.41 1.59 0. 0. 0. 0.
time (sec) N/A 0.161 0.018 0.035 0. 0. 0. 0.
Problem 258 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 265 356 488 0 0 0 0 0
normalized size 1 1.34 1.84 0. 0. 0. 0. 0.
time (sec) N/A 0.479 0.647 0.149 0. 0. 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 229 137 313 0 0 0 0
normalized size 1 1.38 0.83 1.89 0. 0. 0. 0.
time (sec) N/A 0.492 0.512 0.165 0. 0. 0. 0.
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 460 614 1051 0 0 0 0 0
normalized size 1 1.33 2.28 0. 0. 0. 0. 0.
time (sec) N/A 1.013 6.079 0.181 0. 0. 0. 0.
Problem 261 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.458 3.499 0.379 0. 0. 0. 0.
Problem 262 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 67 67 45 44 0 0 0 0
normalized size 1 1. 0.67 0.66 0. 0. 0. 0.
time (sec) N/A 0.14 0.264 0.039 0. 0. 0. 0.
Problem 263 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 50 50 34 33 0 0 0 0
normalized size 1 1. 0.68 0.66 0. 0. 0. 0.
time (sec) N/A 0.113 0.164 0.032 0. 0. 0. 0.
Problem 264 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 29 29 25 24 0 0 0 0
normalized size 1 1. 0.86 0.83 0. 0. 0. 0.
time (sec) N/A 0.081 0.116 0.03 0. 0. 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 1.483 0.136 0. 0. 0. 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.032 5.889 0.17 0. 0. 0. 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 430 188 591 0 0 0 0
normalized size 1 1.27 0.55 1.74 0. 0. 0. 0.
time (sec) N/A 0.879 0.501 0.355 0. 0. 0. 0.
Problem 268 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 297 371 171 543 0 0 0 0
normalized size 1 1.25 0.58 1.83 0. 0. 0. 0.
time (sec) N/A 0.861 0.434 0.227 0. 0. 0. 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 178 103 227 0 0 0 0
normalized size 1 1.28 0.74 1.63 0. 0. 0. 0.
time (sec) N/A 0.672 0.297 0.167 0. 0. 0. 0.
Problem 270 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 197 245 127 361 0 0 0 0
normalized size 1 1.24 0.64 1.83 0. 0. 0. 0.
time (sec) N/A 0.572 0.31 0.156 0. 0. 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 178 105 227 0 0 0 0
normalized size 1 1.28 0.76 1.63 0. 0. 0. 0.
time (sec) N/A 0.343 0.202 0.106 0. 0. 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 116 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.077 1.2 0.234 0. 0. 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 65 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.931 1.043 0.139 0. 0. 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.447 1.399 0.296 0. 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.438 0.859 0.401 0. 0. 0. 0.
Problem 276 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 397 497 215 725 0 0 0 0
normalized size 1 1.25 0.54 1.83 0. 0. 0. 0.
time (sec) N/A 0.946 0.924 0.263 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 430 188 591 0 0 0 0
normalized size 1 1.27 0.55 1.74 0. 0. 0. 0.
time (sec) N/A 0.881 0.716 0.225 0. 0. 0. 0.
Problem 278 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 297 371 172 543 0 0 0 0
normalized size 1 1.25 0.58 1.83 0. 0. 0. 0.
time (sec) N/A 0.675 0.663 0.185 0. 0. 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 304 147 409 0 0 0 0
normalized size 1 1.27 0.62 1.71 0. 0. 0. 0.
time (sec) N/A 0.459 0.442 0.131 0. 0. 0. 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 215 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.752 1.239 0.247 0. 0. 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 163 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.525 1.372 0.253 0. 0. 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.525 1.372 0.309 0. 0. 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.539 0.877 0.382 0. 0. 0. 0.
Problem 284 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 397 497 216 725 0 0 0 0
normalized size 1 1.25 0.54 1.83 0. 0. 0. 0.
time (sec) N/A 0.997 1.281 0.254 0. 0. 0. 0.
Problem 285 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 439 556 233 773 0 0 0 0
normalized size 1 1.27 0.53 1.76 0. 0. 0. 0.
time (sec) N/A 0.979 1.169 0.262 0. 0. 0. 0.
Problem 286 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 397 497 216 725 0 0 0 0
normalized size 1 1.25 0.54 1.83 0. 0. 0. 0.
time (sec) N/A 0.791 1.059 0.213 0. 0. 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 430 191 591 0 0 0 0
normalized size 1 1.27 0.56 1.74 0. 0. 0. 0.
time (sec) N/A 0.568 0.787 0.167 0. 0. 0. 0.
Problem 288 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 309 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.376 1.27 0.268 0. 0. 0. 0.
Problem 289 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 254 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.093 1.269 0.286 0. 0. 0. 0.
Problem 290 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.546 1.425 0.342 0. 0. 0. 0.
Problem 291 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.551 0.967 0.458 0. 0. 0. 0.
Problem 292 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 98 137 69 249 0 0 0 0
normalized size 1 1.4 0.7 2.54 0. 0. 0. 0.
time (sec) N/A 0.466 0.113 0.263 0. 0. 0. 0.
Problem 293 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 65 91 60 200 0 0 0 0
normalized size 1 1.4 0.92 3.08 0. 0. 0. 0.
time (sec) N/A 0.45 0.087 0.21 0. 0. 0. 0.
Problem 294 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 65 91 60 149 0 0 0 0
normalized size 1 1.4 0.92 2.29 0. 0. 0. 0.
time (sec) N/A 0.434 0.099 0.159 0. 0. 0. 0.
Problem 295 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 28 41 50 100 0 0 0 0
normalized size 1 1.46 1.79 3.57 0. 0. 0. 0.
time (sec) N/A 0.301 0.08 0.132 0. 0. 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 41 47 48 0 117 0 0
normalized size 1 1.46 1.68 1.71 0. 4.18 0. 0.
time (sec) N/A 0.162 0.059 0.079 0. 2.021 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.378 0.55 0.158 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.377 0.685 0.141 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 245 130 349 0 0 0 0
normalized size 1 1.24 0.66 1.77 0. 0. 0. 0.
time (sec) N/A 0.69 0.279 0.192 0. 0. 0. 0.
Problem 300 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 139 178 99 232 0 0 0 0
normalized size 1 1.28 0.71 1.67 0. 0. 0. 0.
time (sec) N/A 0.632 0.261 0.166 0. 0. 0. 0.
Problem 301 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 92 114 81 173 0 0 0 0
normalized size 1 1.24 0.88 1.88 0. 0. 0. 0.
time (sec) N/A 0.426 0.202 0.119 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 48 54 55 0 136 0 0
normalized size 1 1.37 1.54 1.57 0. 3.89 0. 0.
time (sec) N/A 0.221 0.106 0.079 0. 1.9 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.498 0.707 0.221 0. 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.507 1.257 0.227 0. 0. 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.575 4.305 0.165 0. 0. 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.401 6.73 0.223 0. 0. 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.25 0.142 0.19 0. 0. 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.568 3.43 0.281 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.577 2.171 0.218 0. 0. 0. 0.
Problem 310 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.54 1.036 0.753 0. 0. 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.451 0.171 0.764 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.483 0.617 0.315 0. 0. 0. 0.
Problem 313 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.565 1.157 0.46 0. 0. 0. 0.
Problem 314 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.58 1.661 0.458 0. 0. 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 98 98 128 107 0 0 0 0
normalized size 1 1. 1.31 1.09 0. 0. 0. 0.
time (sec) N/A 0.325 0.475 0.049 0. 0. 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 82 82 84 87 0 0 0 0
normalized size 1 1. 1.02 1.06 0. 0. 0. 0.
time (sec) N/A 0.305 0.454 0.04 0. 0. 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 58 58 140 61 0 0 0 0
normalized size 1 1. 2.41 1.05 0. 0. 0. 0.
time (sec) N/A 0.235 0.898 0.036 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 65 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.246 2.978 0.135 0. 0. 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.254 12.51 0.172 0. 0. 0. 0.
Problem 320 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 350 429 322 1029 0 0 0 0
normalized size 1 1.23 0.92 2.94 0. 0. 0. 0.
time (sec) N/A 1.085 0.769 0.411 0. 0. 0. 0.
Problem 321 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 154 185 130 422 0 0 0 0
normalized size 1 1.2 0.84 2.74 0. 0. 0. 0.
time (sec) N/A 0.879 0.469 0.235 0. 0. 0. 0.
Problem 322 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 248 418 217 622 0 0 0 0
normalized size 1 1.69 0.88 2.51 0. 0. 0. 0.
time (sec) N/A 0.689 0.422 0.23 0. 0. 0. 0.
Problem 323 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 146 177 121 361 0 0 0 0
normalized size 1 1.21 0.83 2.47 0. 0. 0. 0.
time (sec) N/A 0.335 0.217 0.162 0. 0. 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 181 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.57 31.678 0.434 0. 0. 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.493 9.882 0.145 0. 0. 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.461 154. 0.328 0. 0. 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.456 180.008 0.431 0. 0. 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 354 439 338 1176 0 0 0 0
normalized size 1 1.24 0.95 3.32 0. 0. 0. 0.
time (sec) N/A 1.135 1.066 0.355 0. 0. 0. 0.
Problem 329 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 348 429 327 1029 0 0 0 0
normalized size 1 1.23 0.94 2.96 0. 0. 0. 0.
time (sec) N/A 1.056 0.914 0.276 0. 0. 0. 0.
Problem 330 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 246 305 232 737 0 0 0 0
normalized size 1 1.24 0.94 3. 0. 0. 0. 0.
time (sec) N/A 0.524 0.591 0.208 0. 0. 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 290 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.872 32.135 0.463 0. 0. 0. 0.
Problem 332 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 156 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.662 60.638 0.555 0. 0. 0. 0.
Problem 333 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.542 149.076 0.648 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.612 180.005 0.418 0. 0. 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 454 565 446 1676 0 0 0 0
normalized size 1 1.24 0.98 3.69 0. 0. 0. 0.
time (sec) N/A 1.515 1.703 0.43 0. 0. 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 448 555 436 1499 0 0 0 0
normalized size 1 1.24 0.97 3.35 0. 0. 0. 0.
time (sec) N/A 1.331 1.363 0.375 0. 0. 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 351 436 343 1176 0 0 0 0
normalized size 1 1.24 0.98 3.35 0. 0. 0. 0.
time (sec) N/A 0.652 1.039 0.28 0. 0. 0. 0.
Problem 338 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 385 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.985 8.358 0.553 0. 0. 0. 0.
Problem 339 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 160 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.712 16.579 0.619 0. 0. 0. 0.
Problem 340 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.53 20.44 0.685 0. 0. 0. 0.
Problem 341 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.526 158.216 0.878 0. 0. 0. 0.
Problem 342 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 337 424 190 1046 0 0 0 0
normalized size 1 1.26 0.56 3.1 0. 0. 0. 0.
time (sec) N/A 0.86 0.669 0.39 0. 0. 0. 0.
Problem 343 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 236 301 149 758 0 0 0 0
normalized size 1 1.28 0.63 3.21 0. 0. 0. 0.
time (sec) N/A 0.787 0.485 0.372 0. 0. 0. 0.
Problem 344 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 237 298 144 634 0 0 0 0
normalized size 1 1.26 0.61 2.68 0. 0. 0. 0.
time (sec) N/A 0.768 0.475 0.303 0. 0. 0. 0.
Problem 345 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 136 175 117 377 0 0 0 0
normalized size 1 1.29 0.86 2.77 0. 0. 0. 0.
time (sec) N/A 0.626 0.274 0.218 0. 0. 0. 0.
Problem 346 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 130 169 107 283 0 0 0 0
normalized size 1 1.3 0.82 2.18 0. 0. 0. 0.
time (sec) N/A 0.431 0.218 0.168 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 50 50 57 0 153 0 0
normalized size 1 1.35 1.35 1.54 0. 4.14 0. 0.
time (sec) N/A 0.215 0.031 0.04 0. 2.043 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 84 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.528 4.603 0.231 0. 0. 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 84 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.542 1.505 0.227 0. 0. 0. 0.
Problem 350 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.568 28.811 0.619 0. 0. 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.646 5.782 0.152 0. 0. 0. 0.
Problem 352 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 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.403 21.51 0.215 0. 0. 0. 0.
Problem 353 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 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.32 2.217 0.191 0. 0. 0. 0.
Problem 354 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.549 21.845 0.369 0. 0. 0. 0.
Problem 355 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.56 19.868 0.257 0. 0. 0. 0.
Problem 356 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 108 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.654 5.031 0.394 0. 0. 0. 0.
Problem 357 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.557 48.562 0.533 0. 0. 0. 0.
Problem 358 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.557 7.442 0.517 0. 0. 0. 0.
Problem 359 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 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.391 43.802 0.418 0. 0. 0. 0.
Problem 360 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 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.305 3.578 0.316 0. 0. 0. 0.
Problem 361 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.543 39.014 0.662 0. 0. 0. 0.
Problem 362 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 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.551 14.496 0.749 0. 0. 0. 0.
Problem 363 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.532 1.114 0.875 0. 0. 0. 0.
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.45 0.185 0.865 0. 0. 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 91 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.522 0.635 0.358 0. 0. 0. 0.
Problem 366 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.558 1.213 0.5 0. 0. 0. 0.
Problem 367 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.551 1.685 0.509 0. 0. 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 45 45 51 0 120 0 0
normalized size 1 1.41 1.41 1.59 0. 3.75 0. 0.
time (sec) N/A 0.148 0.025 0.046 0. 1.969 0. 0.
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 259 269 300 0 0 0 0 0
normalized size 1 1.04 1.16 0. 0. 0. 0. 0.
time (sec) N/A 1.747 2.494 0.237 0. 0. 0. 0.
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 340 350 384 0 0 0 0 0
normalized size 1 1.03 1.13 0. 0. 0. 0. 0.
time (sec) N/A 1.772 1.488 0.275 0. 0. 0. 0.
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 241 251 331 0 0 0 0 0
normalized size 1 1.04 1.37 0. 0. 0. 0. 0.
time (sec) N/A 1.154 4.052 0.205 0. 0. 0. 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 246 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.722 1.619 0.178 0. 0. 0. 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 186 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.662 4.125 0.222 0. 0. 0. 0.
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 479 491 527 0 0 0 0 0
normalized size 1 1.03 1.1 0. 0. 0. 0. 0.
time (sec) N/A 2.133 3.584 0.396 0. 0. 0. 0.
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 462 474 498 0 0 0 0 0
normalized size 1 1.03 1.08 0. 0. 0. 0. 0.
time (sec) N/A 2.267 2.906 0.487 0. 0. 0. 0.
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 363 375 508 0 0 0 0 0
normalized size 1 1.03 1.4 0. 0. 0. 0. 0.
time (sec) N/A 1.775 6.963 0.318 0. 0. 0. 0.
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 351 351 387 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.924 1.931 0.28 0. 0. 0. 0.
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 288 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.496 3.085 0.326 0. 0. 0. 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 351 363 154 0 0 0 0 0
normalized size 1 1.03 0.44 0. 0. 0. 0. 0.
time (sec) N/A 0.723 0.24 0.354 0. 0. 0. 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 117 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.375 0.132 0.526 0. 0. 0. 0.
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 41 0 0 0 0
normalized size 1 1. 1. 0.85 0. 0. 0. 0.
time (sec) N/A 0.164 0.032 0.05 0. 0. 0. 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 94 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.244 1.584 0.336 0. 0. 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 192 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.432 2.128 0.376 0. 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 511 523 198 0 0 0 0 0
normalized size 1 1.02 0.39 0. 0. 0. 0. 0.
time (sec) N/A 1.098 0.461 0.309 0. 0. 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 302 302 136 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.618 0.394 0.499 0. 0. 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 41 0 0 0 0
normalized size 1 1. 1. 0.85 0. 0. 0. 0.
time (sec) N/A 0.161 0.044 0.047 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 94 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.232 1.674 0.302 0. 0. 0. 0.
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 580 592 213 0 0 0 0 0
normalized size 1 1.02 0.37 0. 0. 0. 0. 0.
time (sec) N/A 1.526 0.485 0.309 0. 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 330 330 148 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.707 0.477 0.51 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 41 0 0 0 0
normalized size 1 1. 1. 0.85 0. 0. 0. 0.
time (sec) N/A 0.153 0.032 0.047 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 94 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.228 1.522 0.299 0. 0. 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 368 376 165 0 0 0 0 0
normalized size 1 1.02 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.779 0.27 0.336 0. 0. 0. 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 121 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.392 0.138 0.47 0. 0. 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 44 0 0 0 0
normalized size 1 1. 1. 0.88 0. 0. 0. 0.
time (sec) N/A 0.175 0.047 0.055 0. 0. 0. 0.
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.258 0.903 0.283 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 198 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.479 2.098 0.321 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 525 533 219 0 0 0 0 0
normalized size 1 1.02 0.42 0. 0. 0. 0. 0.
time (sec) N/A 1.282 0.442 0.261 0. 0. 0. 0.
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 316 316 144 0 0 0 0 0
normalized size 1 1. 0.46 0. 0. 0. 0. 0.
time (sec) N/A 0.728 0.363 0.448 0. 0. 0. 0.
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 44 0 0 0 0
normalized size 1 1. 1. 0.88 0. 0. 0. 0.
time (sec) N/A 0.168 0.051 0.054 0. 0. 0. 0.
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 97 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.248 0.966 0.236 0. 0. 0. 0.
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 65 83 72 0 0 0 0 0
normalized size 1 1.28 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.099 0.312 0. 0. 0. 0.
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 438 438 209 0 0 0 0 0
normalized size 1 1. 0.48 0. 0. 0. 0. 0.
time (sec) N/A 0.445 0.422 0.316 0. 0. 0. 0.
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 294 294 153 0 0 0 0 0
normalized size 1 1. 0.52 0. 0. 0. 0. 0.
time (sec) N/A 0.339 0.248 0.328 0. 0. 0. 0.
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 175 175 114 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.254 0.142 0.504 0. 0. 0. 0.
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 41 0 0 0 0
normalized size 1 1. 1. 0.89 0. 0. 0. 0.
time (sec) N/A 0.16 0.037 0.046 0. 0. 0. 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.198 1.748 0.3 0. 0. 0. 0.
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.203 2.382 0.378 0. 0. 0. 0.
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 433 444 411 0 0 0 0 0
normalized size 1 1.03 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.461 1.196 0.322 0. 0. 0. 0.
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 286 295 239 0 0 0 0 0
normalized size 1 1.03 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.349 0.467 0.319 0. 0. 0. 0.
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 176 127 0 0 0 0 0
normalized size 1 1.04 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.239 0.256 0.487 0. 0. 0. 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 41 0 131 0 0
normalized size 1 1. 1. 0.89 0. 2.85 0. 0.
time (sec) N/A 0.154 0.034 0.046 0. 2.24 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 109 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.234 1.727 0.289 0. 0. 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 109 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.248 2.252 0.363 0. 0. 0. 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 337 317 0 0 0 0 0
normalized size 1 1.02 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.745 0.581 0.326 0. 0. 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 207 141 0 0 0 0 0
normalized size 1 1.03 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.223 0.3 0.499 0. 0. 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 41 0 134 0 0
normalized size 1 1. 1. 0.85 0. 2.79 0. 0.
time (sec) N/A 0.154 0.033 0.048 0. 1.962 0. 0.
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 113 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.228 1.74 0.3 0. 0. 0. 0.
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 113 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.226 2.264 0.377 0. 0. 0. 0.
Problem 419 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 253 253 181 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.62 0.995 0.454 0. 0. 0. 0.
Problem 420 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 379 379 241 0 0 0 0 0
normalized size 1 1. 0.64 0. 0. 0. 0. 0.
time (sec) N/A 0.68 1.247 0.391 0. 0. 0. 0.
Problem 421 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 253 253 214 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.376 0.688 0.286 0. 0. 0. 0.
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 211 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.082 0.226 0.342 0. 0. 0. 0.
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 91 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.902 0.225 0.344 0. 0. 0. 0.
Problem 424 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 658 658 438 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 1.052 3.185 0.319 0. 0. 0. 0.
Problem 425 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 578 578 500 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.825 2.094 0.289 0. 0. 0. 0.
Problem 426 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 450 450 384 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.564 2.087 0.216 0. 0. 0. 0.
Problem 427 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 414 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.836 0.28 0.244 0. 0. 0. 0.
Problem 428 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 291 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.517 0.561 0.272 0. 0. 0. 0.
Problem 429 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 870 870 677 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 1.242 6.881 0.319 0. 0. 0. 0.
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 793 793 633 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 1.054 3.809 0.286 0. 0. 0. 0.
Problem 431 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 674 674 538 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.703 5.366 0.228 0. 0. 0. 0.
Problem 432 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 804 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.555 0.302 0.273 0. 0. 0. 0.
Problem 433 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 485 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.188 0.585 0.27 0. 0. 0. 0.
Problem 434 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 323 375 292 0 0 0 0 0
normalized size 1 1.16 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.732 1.273 0.322 0. 0. 0. 0.
Problem 435 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 211 250 212 0 0 0 0 0
normalized size 1 1.18 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.616 0.788 0.283 0. 0. 0. 0.
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 180 154 0 0 0 0 0
normalized size 1 1.17 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.422 0.243 0.278 0. 0. 0. 0.
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 56 56 53 0 487 0 0
normalized size 1 1.3 1.3 1.23 0. 11.33 0. 0.
time (sec) N/A 0.208 0.039 0.034 0. 2.604 0. 0.
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.435 2.482 0.25 0. 0. 0. 0.
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.446 1.293 0.232 0. 0. 0. 0.
Problem 440 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 379 379 291 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.809 1.074 0.335 0. 0. 0. 0.
Problem 441 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 253 253 213 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.64 0.755 0.346 0. 0. 0. 0.
Problem 442 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 182 182 153 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.419 0.224 0.281 0. 0. 0. 0.
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 57 54 0 509 0 0
normalized size 1 1. 1. 0.95 0. 8.93 0. 0.
time (sec) N/A 0.194 0.045 0.035 0. 2.685 0. 0.
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.443 0.314 0.304 0. 0. 0. 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.465 0.336 0.282 0. 0. 0. 0.
Problem 446 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.525 0.624 0.313 0. 0. 0. 0.
Problem 447 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.368 0.361 0.28 0. 0. 0. 0.
Problem 448 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 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.223 0.078 0.22 0. 0. 0. 0.
Problem 449 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.521 0.38 0.276 0. 0. 0. 0.
Problem 450 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.525 0.414 0.267 0. 0. 0. 0.
Problem 451 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 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.417 0.443 0.311 0. 0. 0. 0.
Problem 452 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 1.113 0.305 0. 0. 0. 0.
Problem 453 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 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.584 0.209 0. 0. 0. 0.
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.019 0.167 0. 0. 0. 0.
Problem 455 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.587 0.258 0. 0. 0. 0.
Problem 456 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 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.099 0.907 0.271 0. 0. 0. 0.
Problem 457 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.498 0.601 0.326 0. 0. 0. 0.
Problem 458 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.401 0.104 0.401 0. 0. 0. 0.
Problem 459 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.436 0.413 0.331 0. 0. 0. 0.
Problem 460 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 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.503 0.648 0.298 0. 0. 0. 0.
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 122 133 240 329 230 232
normalized size 1 1. 0.69 0.75 1.36 1.86 1.3 1.31
time (sec) N/A 0.142 0.106 0.029 1.166 2.497 9.528 1.276
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 140 250 289 308 212 267
normalized size 1 1. 0.87 1.55 1.8 1.91 1.32 1.66
time (sec) N/A 0.137 0.166 0.019 1.148 2.32 6.395 1.345
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 101 115 188 271 178 194
normalized size 1 1. 0.73 0.83 1.36 1.96 1.29 1.41
time (sec) N/A 0.121 0.101 0.01 1.143 2.404 3.017 1.254
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 120 202 235 255 160 238
normalized size 1 1. 0.98 1.66 1.93 2.09 1.31 1.95
time (sec) N/A 0.109 0.132 0.013 1.105 2.423 1.897 1.343
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 76 90 123 208 116 146
normalized size 1 1. 0.81 0.96 1.31 2.21 1.23 1.55
time (sec) N/A 0.08 0.086 0.008 1.088 2.305 0.911 1.23
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 264 264 119 130 0 0 0 0
normalized size 1 1. 0.45 0.49 0. 0. 0. 0.
time (sec) N/A 0.676 0.255 0.112 0. 0. 0. 0.
Problem 467 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 75 75 105 95 88 298 0 0
normalized size 1 1. 1.4 1.27 1.17 3.97 0. 0.
time (sec) N/A 0.099 0.132 0.017 1.716 2.617 0. 0.
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 251 251 101 126 0 0 0 0
normalized size 1 1. 0.4 0.5 0. 0. 0. 0.
time (sec) N/A 0.611 0.137 0.147 0. 0. 0. 0.
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 128 146 120 325 0 0
normalized size 1 1. 1.36 1.55 1.28 3.46 0. 0.
time (sec) N/A 0.104 0.253 0.019 1.703 2.727 0. 0.
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 192 227 412 562 422 383
normalized size 1 1. 0.6 0.71 1.29 1.76 1.32 1.2
time (sec) N/A 0.411 0.263 0.014 1.026 2.385 31.74 1.368
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 341 341 214 440 485 539 389 432
normalized size 1 1. 0.63 1.29 1.42 1.58 1.14 1.27
time (sec) N/A 0.36 0.335 0.019 1.146 2.546 19.748 1.446
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 260 163 195 333 471 340 328
normalized size 1 1. 0.63 0.75 1.28 1.81 1.31 1.26
time (sec) N/A 0.318 0.212 0.013 1.146 2.384 23.233 1.353
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 269 269 183 363 405 436 306 387
normalized size 1 1. 0.68 1.35 1.51 1.62 1.14 1.44
time (sec) N/A 0.249 0.306 0.016 1.133 2.574 11.707 1.452
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 130 157 243 370 246 262
normalized size 1 1. 0.66 0.8 1.24 1.89 1.26 1.34
time (sec) N/A 0.203 0.192 0.012 1.183 2.427 3.76 1.292
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 342 369 217 225 0 0 0 0
normalized size 1 1.08 0.63 0.66 0. 0. 0. 0.
time (sec) N/A 0.786 0.415 0.239 0. 0. 0. 0.
Problem 476 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 160 185 128 177 184 512 0 0
normalized size 1 1.16 0.8 1.11 1.15 3.2 0. 0.
time (sec) N/A 0.302 0.231 0.018 1.725 2.962 0. 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 321 321 173 198 0 0 0 0
normalized size 1 1. 0.54 0.62 0. 0. 0. 0.
time (sec) N/A 0.814 0.437 0.316 0. 0. 0. 0.
Problem 478 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 184 184 133 196 176 487 0 0
normalized size 1 1. 0.72 1.07 0.96 2.65 0. 0.
time (sec) N/A 0.279 0.237 0.02 1.689 3.348 0. 0.
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 435 435 276 335 609 868 638 552
normalized size 1 1. 0.63 0.77 1.4 2. 1.47 1.27
time (sec) N/A 0.617 0.389 0.013 1.198 2.586 130.21 1.468
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 494 494 294 659 706 798 604 612
normalized size 1 1. 0.6 1.33 1.43 1.62 1.22 1.24
time (sec) N/A 0.648 0.529 0.02 1.191 2.531 50.657 1.573
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 236 289 505 701 532 479
normalized size 1 1. 0.65 0.79 1.38 1.92 1.46 1.31
time (sec) N/A 0.541 0.312 0.012 1.165 2.409 36.968 1.416
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 358 358 256 553 601 657 490 552
normalized size 1 1. 0.72 1.54 1.68 1.84 1.37 1.54
time (sec) N/A 0.364 0.385 0.017 1.177 2.452 19.446 1.584
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 193 235 387 559 396 396
normalized size 1 1. 0.67 0.82 1.35 1.95 1.38 1.38
time (sec) N/A 0.376 0.272 0.012 1.13 2.353 13.365 1.37
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 509 509 314 351 0 0 0 0
normalized size 1 1. 0.62 0.69 0. 0. 0. 0.
time (sec) N/A 1.092 0.744 0.139 0. 0. 0. 0.
Problem 485 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 265 265 182 282 302 716 0 0
normalized size 1 1. 0.69 1.06 1.14 2.7 0. 0.
time (sec) N/A 0.418 0.337 0.019 1.685 3.127 0. 0.
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 476 476 267 296 0 0 0 0
normalized size 1 1. 0.56 0.62 0. 0. 0. 0.
time (sec) N/A 1.76 0.658 0.165 0. 0. 0. 0.
Problem 487 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 260 260 184 278 271 683 0 0
normalized size 1 1. 0.71 1.07 1.04 2.63 0. 0.
time (sec) N/A 0.462 0.375 0.021 1.686 4.279 0. 0.
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 395 265 331 560 803 600 547
normalized size 1 1. 0.67 0.84 1.42 2.03 1.52 1.38
time (sec) N/A 0.475 0.391 0.013 1.115 2.694 41.694 1.462
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 627 627 524 364 0 0 0 0
normalized size 1 1. 0.84 0.58 0. 0. 0. 0.
time (sec) N/A 1.052 1.381 3.506 0. 0. 0. 0.
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 521 521 512 2912 0 0 0 0
normalized size 1 1. 0.98 5.59 0. 0. 0. 0.
time (sec) N/A 0.911 0.522 0.29 0. 0. 0. 0.
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 457 284 0 0 0 0
normalized size 1 1. 0.84 0.52 0. 0. 0. 0.
time (sec) N/A 0.902 0.698 0.617 0. 0. 0. 0.
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 449 449 447 2805 0 0 0 0
normalized size 1 1. 1. 6.25 0. 0. 0. 0.
time (sec) N/A 0.738 0.13 0.194 0. 0. 0. 0.
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 501 501 397 232 0 0 0 0
normalized size 1 1. 0.79 0.46 0. 0. 0. 0.
time (sec) N/A 0.734 0.32 0.065 0. 0. 0. 0.
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 489 472 418 393 0 0 0 0
normalized size 1 0.97 0.85 0.8 0. 0. 0. 0.
time (sec) N/A 0.925 0.775 0.159 0. 0. 0. 0.
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 543 543 549 329 0 0 0 0
normalized size 1 1. 1.01 0.61 0. 0. 0. 0.
time (sec) N/A 0.906 1.397 0.774 0. 0. 0. 0.
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 550 531 479 462 0 0 0 0
normalized size 1 0.97 0.87 0.84 0. 0. 0. 0.
time (sec) N/A 0.955 1.332 0.202 0. 0. 0. 0.
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 624 624 641 410 0 0 0 0
normalized size 1 1. 1.03 0.66 0. 0. 0. 0.
time (sec) N/A 0.981 1.484 0.811 0. 0. 0. 0.
Problem 498 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 562 562 693 2964 0 0 0 0
normalized size 1 1. 1.23 5.27 0. 0. 0. 0.
time (sec) N/A 0.991 1.915 0.338 0. 0. 0. 0.
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 123 638 0 1122 0 0
normalized size 1 1. 1.09 5.65 0. 9.93 0. 0.
time (sec) N/A 0.094 0.308 0.047 0. 2.332 0. 0.
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F F(-1) F
verified N/A NO N/A TBD TBD TBD TBD TBD
size 598 581 0 529 0 0 0 0
normalized size 1 0.97 0. 0.88 0. 0. 0. 0.
time (sec) N/A 1.062 4.87 0.203 0. 0. 0. 0.
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F F(-1) F
verified N/A NO N/A TBD TBD TBD TBD TBD
size 634 616 0 723 0 0 0 0
normalized size 1 0.97 0. 1.14 0. 0. 0. 0.
time (sec) N/A 1.087 5.71 0.24 0. 0. 0. 0.
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 839 839 776 1749 0 0 0 0
normalized size 1 1. 0.92 2.08 0. 0. 0. 0.
time (sec) N/A 2.188 2.225 2.26 0. 0. 0. 0.
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 792 792 719 1689 0 0 0 0
normalized size 1 1. 0.91 2.13 0. 0. 0. 0.
time (sec) N/A 1.969 1.797 0.957 0. 0. 0. 0.
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 804 804 733 1695 0 0 0 0
normalized size 1 1. 0.91 2.11 0. 0. 0. 0.
time (sec) N/A 1.024 1.893 0.884 0. 0. 0. 0.
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 846 846 820 1821 0 0 0 0
normalized size 1 1. 0.97 2.15 0. 0. 0. 0.
time (sec) N/A 2.022 2.527 2.61 0. 0. 0. 0.
Problem 506 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 737 737 1155 5196 0 0 0 0
normalized size 1 1. 1.57 7.05 0. 0. 0. 0.
time (sec) N/A 1.182 7.11 0.79 0. 0. 0. 0.
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 241 192 2499 0 2473 0 0
normalized size 1 1.04 0.83 10.82 0. 10.71 0. 0.
time (sec) N/A 0.362 0.89 0.038 0. 3.333 0. 0.
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 183 2443 0 2522 0 0
normalized size 1 1. 1.03 13.8 0. 14.25 0. 0.
time (sec) N/A 0.135 0.98 0.03 0. 3.394 0. 0.
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F F(-1) F
verified N/A NO N/A TBD TBD TBD TBD TBD
size 772 755 0 1478 0 0 0 0
normalized size 1 0.98 0. 1.91 0. 0. 0. 0.
time (sec) N/A 1.246 8.131 0.26 0. 0. 0. 0.
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F F(-1) F
verified N/A NO N/A TBD TBD TBD TBD TBD
size 834 815 0 1928 0 0 0 0
normalized size 1 0.98 0. 2.31 0. 0. 0. 0.
time (sec) N/A 1.295 12.01 0.403 0. 0. 0. 0.
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1224 1224 1185 3125 0 0 0 0
normalized size 1 1. 0.97 2.55 0. 0. 0. 0.
time (sec) N/A 3.962 6.901 2.02 0. 0. 0. 0.
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1234 1234 1193 2269 0 0 0 0
normalized size 1 1. 0.97 1.84 0. 0. 0. 0.
time (sec) N/A 2.918 6.738 1.105 0. 0. 0. 0.
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1234 1234 1184 3128 0 0 0 0
normalized size 1 1. 0.96 2.53 0. 0. 0. 0.
time (sec) N/A 1.46 6.387 1.283 0. 0. 0. 0.
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 5.763 0.862 0. 0. 0. 0.
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.03 3.742 0.434 0. 0. 0. 0.
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 556 0 0 736 0 0
normalized size 1 1. 5.5 0. 0. 7.29 0. 0.
time (sec) N/A 0.192 3.118 0.536 0. 1.948 0. 0.
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 190 633 0 0 1503 0 0
normalized size 1 1.04 3.48 0. 0. 8.26 0. 0.
time (sec) N/A 0.183 2.242 0.806 0. 2.525 0. 0.
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 685 0 0 2782 0 0
normalized size 1 1. 2.41 0. 0. 9.8 0. 0.
time (sec) N/A 0.801 3.79 1.055 0. 3.404 0. 0.
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 529 397 0 0 0 0 0
normalized size 1 0.95 0.71 0. 0. 0. 0. 0.
time (sec) N/A 2.809 1.387 5.19 0. 0. 0. 0.
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 332 293 0 0 0 0 0
normalized size 1 0.94 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.56 0.497 4.069 0. 0. 0. 0.
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 187 186 0 0 0 0 0
normalized size 1 0.94 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.203 0.619 3.49 0. 0. 0. 0.
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 9.651 0.619 0. 0. 0. 0.
Problem 523 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 8.439 0.583 0. 0. 0. 0.
Problem 524 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 15.822 0.589 0. 0. 0. 0.
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 609 609 453 632 923 1338 996 986
normalized size 1 1. 0.74 1.04 1.52 2.2 1.64 1.62
time (sec) N/A 2.099 0.843 0.085 1.159 1.931 20.429 2.571
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 299 402 579 845 602 656
normalized size 1 1. 0.83 1.12 1.61 2.35 1.68 1.83
time (sec) N/A 1.199 0.536 0.067 1.115 1.898 7.01 2.16
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 174 217 294 454 286 373
normalized size 1 1. 1.04 1.29 1.75 2.7 1.7 2.22
time (sec) N/A 0.573 0.277 0.047 1.093 1.87 1.862 1.779
Problem 528 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 51 51 84 78 97 212 88 150
normalized size 1 1. 1.65 1.53 1.9 4.16 1.73 2.94
time (sec) N/A 0.157 0.087 0.04 1.174 1.716 0.364 1.326
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 763 763 623 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 1.308 0.57 0.402 0. 0. 0. 0.
Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 15.351 0.299 0. 0. 0. 0.
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 11.039 0.289 0. 0. 0. 0.
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 3.595 0.24 0. 0. 0. 0.
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 7.258 0.24 0. 0. 0. 0.
Problem 534 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 388 380 254 380 0 0 0 0
normalized size 1 0.98 0.65 0.98 0. 0. 0. 0.
time (sec) N/A 0.793 0.506 0.123 0. 0. 0. 0.
Problem 535 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 139 176 125 178 0 0 0 0
normalized size 1 1.27 0.9 1.28 0. 0. 0. 0.
time (sec) N/A 0.382 0.222 0.096 0. 0. 0. 0.
Problem 536 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 54 54 46 56 0 0 0 0
normalized size 1 1. 0.85 1.04 0. 0. 0. 0.
time (sec) N/A 0.07 0.063 0.032 0. 0. 0. 0.
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.568 0.359 0. 0. 0. 0.
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 3.136 0.361 0. 0. 0. 0.
Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 1.096 0.281 0. 0. 0. 0.
Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 1.05 0.256 0. 0. 0. 0.
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 1.488 0.217 0. 0. 0. 0.
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 3.74 0.222 0. 0. 0. 0.
Problem 543 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 510 498 456 1102 0 0 0 0
normalized size 1 0.98 0.89 2.16 0. 0. 0. 0.
time (sec) N/A 0.951 3.061 0.226 0. 0. 0. 0.
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 257 249 225 465 0 0 0 0
normalized size 1 0.97 0.88 1.81 0. 0. 0. 0.
time (sec) N/A 0.595 1.529 0.144 0. 0. 0. 0.
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 86 80 125 0 0 0 0
normalized size 1 0.96 0.89 1.39 0. 0. 0. 0.
time (sec) N/A 0.323 0.322 0.049 0. 0. 0. 0.
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 172.089 0.33 0. 0. 0. 0.
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 180.005 0.422 0. 0. 0. 0.
Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 26.441 0.29 0. 0. 0. 0.
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 23.629 0.258 0. 0. 0. 0.
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 180.001 0.223 0. 0. 0. 0.
Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 180.004 0.219 0. 0. 0. 0.
Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 672 672 536 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 2.402 6.368 0.256 0. 0. 0. 0.
Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 322 322 317 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 1.287 2.672 0.119 0. 0. 0. 0.
Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 100 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.42 0.188 0. 0. 0. 0. 0.
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 4.663 0.25 0. 0. 0. 0.
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 20.744 0.396 0. 0. 0. 0.
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 442 442 812 0 0 0 0 0
normalized size 1 1. 1.84 0. 0. 0. 0. 0.
time (sec) N/A 1.732 3.329 0.122 0. 0. 0. 0.
Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 269 0 0 0 0 0
normalized size 1 1. 1.92 0. 0. 0. 0. 0.
time (sec) N/A 0.402 0.643 0. 0. 0. 0. 0.
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) F(-2) A F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 2.068 0.245 0. 0. 0. 0.
Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 12.723 0.426 0. 0. 0. 0.
Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 608 608 530 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 1.148 1.092 0.246 0. 0. 0. 0.
Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 287 287 213 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.535 0.608 0.127 0. 0. 0. 0.
Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 100 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.111 0.001 0. 0. 0. 0.
Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.151 0.251 0. 0. 0. 0.
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.275 0.38 0. 0. 0. 0.
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 358 358 268 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.831 1.914 0.118 0. 0. 0. 0.
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 132 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.416 0.253 0. 0. 0. 0. 0.
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 0.165 0.25 0. 0. 0. 0.
Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.289 0.392 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 [486] had the largest ratio of [ 0.9048 ]

Table 2.1Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 8 6 1. 23 0.261
2 A 7 7 1. 23 0.304
3 A 6 6 1. 23 0.261
4 A 4 3 1. 21 0.143
5 A 4 4 1. 20 0.2
6 A 8 8 1. 23 0.348
7 A 5 6 1. 23 0.261
8 A 9 9 1. 23 0.391
9 A 5 6 1. 23 0.261
10 A 7 7 1.28 25 0.28
11 A 9 10 1.42 25 0.4
12 A 6 6 1.26 25 0.24
13 A 5 3 1. 23 0.13
14 A 6 6 1.24 22 0.273
15 A 12 8 1. 25 0.32
16 A 8 8 1.35 25 0.32
17 A 13 11 1. 25 0.44
18 A 8 9 1.31 25 0.36
19 A 6 6 1.27 25 0.24
20 A 11 10 1.43 25 0.4
21 A 6 6 1.26 25 0.24
22 A 6 3 1. 23 0.13
23 A 6 6 1.24 22 0.273
24 A 17 8 1. 25 0.32
25 A 8 8 1.33 25 0.32
26 A 18 11 1. 25 0.44
27 A 9 9 1.29 25 0.36
28 A 12 8 1. 25 0.32
29 A 8 8 1. 25 0.32
30 A 8 6 1. 25 0.24
31 A 5 5 1. 23 0.217
32 A 6 4 1. 22 0.182
33 A 7 5 1. 25 0.2
34 A 9 7 1. 25 0.28
35 A 9 7 1. 25 0.28
36 A 14 9 1. 25 0.36
37 A 12 9 1. 25 0.36
38 A 10 10 1. 25 0.4
39 A 8 6 1. 25 0.24
40 A 2 2 1. 23 0.087
41 A 8 6 1. 22 0.273
42 A 9 7 1. 25 0.28
43 A 13 11 1. 25 0.44
44 A 13 10 1. 25 0.4
45 A 20 13 1. 25 0.52
46 A 13 10 1. 25 0.4
47 A 7 7 1. 25 0.28
48 A 10 7 1. 25 0.28
49 A 3 3 1. 23 0.13
50 A 10 6 1. 22 0.273
51 A 12 8 1. 25 0.32
52 A 17 11 1. 25 0.44
53 A 17 11 1. 25 0.44
54 A 26 13 1. 25 0.52
55 A 6 4 1. 18 0.222
56 A 8 6 1. 18 0.333
57 A 10 6 1. 18 0.333
58 A 8 5 1. 27 0.185
59 A 6 5 1. 27 0.185
60 A 4 4 1. 24 0.167
61 A 4 4 1. 27 0.148
62 A 4 3 1.07 27 0.111
63 A 5 7 1.14 27 0.259
64 A 5 7 1.09 27 0.259
65 A 4 5 1.11 27 0.185
66 A 4 5 1.1 27 0.185
67 A 3 2 1.07 25 0.08
68 A 9 7 1. 27 0.259
69 A 9 7 1. 27 0.259
70 A 11 8 1. 27 0.296
71 A 11 7 1.03 27 0.259
72 A 9 7 1.04 27 0.259
73 A 7 6 1.06 24 0.25
74 A 7 6 1.06 27 0.222
75 A 7 6 1.06 27 0.222
76 A 5 4 1.08 27 0.148
77 A 6 8 1.3 27 0.296
78 A 6 8 1.22 27 0.296
79 A 6 8 1.17 27 0.296
80 A 5 6 1.15 27 0.222
81 A 5 6 1.14 27 0.222
82 A 5 6 1.12 27 0.222
83 A 4 3 1.08 25 0.12
84 A 11 8 1.04 27 0.296
85 A 12 9 1.04 27 0.333
86 A 12 9 1.04 27 0.333
87 A 15 9 1.07 27 0.333
88 A 13 9 1.08 27 0.333
89 A 9 7 1.11 24 0.292
90 A 11 9 1.11 27 0.333
91 A 11 8 1.11 27 0.296
92 A 11 8 1.11 27 0.296
93 A 5 4 1.07 27 0.148
94 A 7 9 1.43 27 0.333
95 A 6 8 1.35 27 0.296
96 A 5 6 1.15 27 0.222
97 A 5 6 1.13 27 0.222
98 A 5 6 1.11 27 0.222
99 A 4 3 1.07 25 0.12
100 A 14 9 1.08 27 0.333
101 A 14 10 1.08 27 0.37
102 A 15 10 1.08 27 0.37
103 A 4 4 1.27 14 0.286
104 A 7 5 1.1 27 0.185
105 A 6 4 1.08 27 0.148
106 A 5 5 1.1 27 0.185
107 A 4 4 1.06 27 0.148
108 A 3 3 1.11 25 0.12
109 A 2 2 1. 24 0.083
110 A 7 5 1. 27 0.185
111 A 3 3 1.11 27 0.111
112 A 9 7 1.03 27 0.259
113 A 5 5 1.1 27 0.185
114 A 5 9 1.12 27 0.333
115 A 8 7 1.05 27 0.259
116 A 4 7 1.09 27 0.259
117 A 4 4 1. 27 0.148
118 A 3 3 1. 25 0.12
119 A 3 3 1. 24 0.125
120 A 9 7 1. 27 0.259
121 A 5 7 1.01 27 0.259
122 A 12 9 1. 27 0.333
123 A 6 7 1. 27 0.259
124 A 6 9 1.15 27 0.333
125 A 8 6 1.12 27 0.222
126 A 5 9 1.54 27 0.333
127 A 5 4 1.2 27 0.148
128 A 4 4 1.21 25 0.16
129 A 5 5 1.17 24 0.208
130 A 12 8 1.05 27 0.296
131 A 6 8 1.12 27 0.296
132 A 16 11 1.06 27 0.407
133 A 6 8 1.13 27 0.296
134 A 7 5 1.12 20 0.25
135 A 6 4 1.42 22 0.182
136 A 5 5 1.44 22 0.227
137 A 4 4 1.42 22 0.182
138 A 3 3 1.49 20 0.15
139 A 2 2 1.41 19 0.105
140 A 7 5 1.38 22 0.227
141 A 3 3 1.5 22 0.136
142 A 9 7 1.38 22 0.318
143 A 2 2 1.13 30 0.067
144 A 2 2 1. 31 0.065
145 A 8 9 1. 27 0.333
146 A 7 8 1. 27 0.296
147 A 6 7 1. 25 0.28
148 A 0 0 0. 0 0.
149 A 0 0 0. 0 0.
150 A 0 0 0. 0 0.
151 A 10 7 1.06 29 0.241
152 A 7 6 1.05 29 0.207
153 A 4 4 1.04 29 0.138
154 A 2 2 1. 29 0.069
155 A 4 4 1. 29 0.138
156 A 6 4 1.03 29 0.138
157 A 9 6 1.01 35 0.171
158 A 6 5 1.02 35 0.143
159 A 3 3 1.03 35 0.086
160 A 2 2 1. 35 0.057
161 A 4 4 1. 35 0.114
162 A 6 4 1. 35 0.114
163 A 2 2 1.1 24 0.083
164 A 14 5 1. 20 0.25
165 A 10 5 1. 20 0.25
166 A 6 4 1. 18 0.222
167 A 8 5 1. 20 0.25
168 A 11 8 1. 20 0.4
169 A 15 9 1. 20 0.45
170 A 17 9 1. 29 0.31
171 A 12 9 1. 29 0.31
172 A 6 6 1.04 27 0.222
173 A 6 6 1. 26 0.231
174 A 13 9 1. 29 0.31
175 A 8 8 1. 29 0.276
176 A 13 10 1. 29 0.345
177 A 11 11 1.02 29 0.379
178 A 26 13 1.02 29 0.448
179 A 20 13 1.03 29 0.448
180 A 8 8 1.04 27 0.296
181 A 11 9 1.04 26 0.346
182 A 18 13 1.02 29 0.448
183 A 15 14 1.03 29 0.483
184 A 18 15 1.02 29 0.517
185 A 18 13 1.03 29 0.448
186 A 34 18 1.04 29 0.621
187 A 30 21 1.04 29 0.724
188 A 8 8 1.03 27 0.296
189 A 17 9 1.06 26 0.346
190 A 25 17 1.04 29 0.586
191 A 24 16 1.05 29 0.552
192 A 27 21 1.03 29 0.724
193 A 29 17 1.05 29 0.586
194 A 17 8 1.06 29 0.276
195 A 12 8 1.05 29 0.276
196 A 10 8 1.05 29 0.276
197 A 6 6 1.04 29 0.207
198 A 5 4 1.05 27 0.148
199 A 2 2 1. 26 0.077
200 A 9 6 1. 29 0.207
201 A 7 7 1.04 29 0.241
202 A 13 10 1.02 29 0.345
203 A 10 10 1.05 29 0.345
204 A 23 14 1.04 29 0.483
205 A 15 13 1.02 29 0.448
206 A 14 10 1.03 29 0.345
207 A 8 8 1. 29 0.276
208 A 8 6 1. 27 0.222
209 A 7 7 1. 26 0.269
210 A 16 11 1. 29 0.379
211 A 15 11 1. 29 0.379
212 A 26 15 1. 29 0.517
213 A 25 13 1. 29 0.448
214 A 27 13 1.05 29 0.448
215 A 19 13 1.03 29 0.448
216 A 17 9 1.04 29 0.31
217 A 12 12 1.04 29 0.414
218 A 10 8 1.05 27 0.296
219 A 10 10 1.05 26 0.385
220 A 25 13 1.03 29 0.448
221 A 20 15 1.06 29 0.517
222 A 39 19 1.04 29 0.655
223 A 34 18 1.08 29 0.621
224 A 14 11 1.07 22 0.5
225 A 12 8 1.35 24 0.333
226 A 9 8 1.34 24 0.333
227 A 6 6 1.37 24 0.25
228 A 4 4 1.38 22 0.182
229 A 2 2 1.41 21 0.095
230 A 9 6 1.36 24 0.25
231 A 7 7 1.4 24 0.292
232 A 13 10 1.34 24 0.417
233 A 0 0 0. 0 0.
234 A 0 0 0. 0 0.
235 A 0 0 0. 0 0.
236 A 0 0 0. 0 0.
237 A 0 0 0. 0 0.
238 A 0 0 0. 0 0.
239 A 0 0 0. 0 0.
240 A 26 14 1. 20 0.7
241 A 18 11 1. 20 0.55
242 A 10 7 1. 18 0.389
243 A 10 6 1. 20 0.3
244 A 18 10 1. 20 0.5
245 A 28 11 1. 20 0.55
246 A 25 10 1.05 22 0.454
247 A 15 9 1.03 22 0.409
248 A 7 6 1. 22 0.273
249 A 2 2 1. 22 0.091
250 A 8 8 1. 22 0.364
251 A 12 11 1.04 22 0.5
252 A 18 12 1.05 22 0.546
253 A 14 5 1.36 24 0.208
254 A 11 7 1.35 24 0.292
255 A 7 5 1.37 24 0.208
256 A 5 4 1.39 22 0.182
257 A 2 2 1.41 21 0.095
258 A 11 7 1.34 24 0.292
259 A 8 8 1.38 24 0.333
260 A 19 11 1.33 24 0.458
261 A 0 0 0. 0 0.
262 A 7 3 1. 20 0.15
263 A 6 3 1. 20 0.15
264 A 5 3 1. 18 0.167
265 A 0 0 0. 0 0.
266 A 0 0 0. 0 0.
267 A 13 6 1.27 28 0.214
268 A 13 6 1.25 28 0.214
269 A 7 6 1.28 28 0.214
270 A 10 6 1.24 26 0.231
271 A 7 6 1.28 25 0.24
272 A 0 0 0. 0 0.
273 A 0 0 0. 0 0.
274 A 0 0 0. 0 0.
275 A 0 0 0. 0 0.
276 A 16 6 1.25 28 0.214
277 A 13 6 1.27 28 0.214
278 A 13 6 1.25 26 0.231
279 A 10 6 1.27 25 0.24
280 A 0 0 0. 0 0.
281 A 0 0 0. 0 0.
282 A 0 0 0. 0 0.
283 A 0 0 0. 0 0.
284 A 16 6 1.25 28 0.214
285 A 16 6 1.27 28 0.214
286 A 16 6 1.25 26 0.231
287 A 13 6 1.27 25 0.24
288 A 0 0 0. 0 0.
289 A 0 0 0. 0 0.
290 A 0 0 0. 0 0.
291 A 0 0 0. 0 0.
292 A 6 4 1.4 24 0.167
293 A 6 4 1.4 24 0.167
294 A 5 4 1.4 24 0.167
295 A 3 3 1.46 22 0.136
296 A 2 2 1.46 21 0.095
297 A 0 0 0. 0 0.
298 A 0 0 0. 0 0.
299 A 10 6 1.24 28 0.214
300 A 7 6 1.28 28 0.214
301 A 5 5 1.24 26 0.192
302 A 2 2 1.37 25 0.08
303 A 0 0 0. 0 0.
304 A 0 0 0. 0 0.
305 A 0 0 0. 0 0.
306 A 0 0 0. 0 0.
307 A 0 0 0. 0 0.
308 A 0 0 0. 0 0.
309 A 0 0 0. 0 0.
310 A 0 0 0. 0 0.
311 A 0 0 0. 0 0.
312 A 0 0 0. 0 0.
313 A 0 0 0. 0 0.
314 A 0 0 0. 0 0.
315 A 8 4 1. 20 0.2
316 A 7 4 1. 20 0.2
317 A 6 4 1. 18 0.222
318 A 0 0 0. 0 0.
319 A 0 0 0. 0 0.
320 A 23 7 1.23 28 0.25
321 A 17 8 1.2 28 0.286
322 A 15 8 1.69 26 0.308
323 A 8 8 1.21 25 0.32
324 A 0 0 0. 0 0.
325 A 0 0 0. 0 0.
326 A 0 0 0. 0 0.
327 A 0 0 0. 0 0.
328 A 20 7 1.24 28 0.25
329 A 23 9 1.23 26 0.346
330 A 11 7 1.24 25 0.28
331 A 0 0 0. 0 0.
332 A 0 0 0. 0 0.
333 A 0 0 0. 0 0.
334 A 0 0 0. 0 0.
335 A 29 7 1.24 28 0.25
336 A 29 9 1.24 26 0.346
337 A 14 7 1.24 25 0.28
338 A 0 0 0. 0 0.
339 A 0 0 0. 0 0.
340 A 0 0 0. 0 0.
341 A 0 0 0. 0 0.
342 A 14 7 1.26 28 0.25
343 A 11 7 1.28 28 0.25
344 A 11 7 1.26 28 0.25
345 A 8 8 1.29 28 0.286
346 A 6 6 1.3 26 0.231
347 A 2 2 1.35 25 0.08
348 A 0 0 0. 0 0.
349 A 0 0 0. 0 0.
350 A 0 0 0. 0 0.
351 A 0 0 0. 0 0.
352 A 0 0 0. 0 0.
353 A 0 0 0. 0 0.
354 A 0 0 0. 0 0.
355 A 0 0 0. 0 0.
356 A 0 0 0. 0 0.
357 A 0 0 0. 0 0.
358 A 0 0 0. 0 0.
359 A 0 0 0. 0 0.
360 A 0 0 0. 0 0.
361 A 0 0 0. 0 0.
362 A 0 0 0. 0 0.
363 A 0 0 0. 0 0.
364 A 0 0 0. 0 0.
365 A 0 0 0. 0 0.
366 A 0 0 0. 0 0.
367 A 0 0 0. 0 0.
368 A 2 2 1.41 21 0.095
369 A 27 7 1.04 27 0.259
370 A 32 7 1.03 27 0.259
371 A 17 9 1.04 25 0.36
372 A 14 7 1. 24 0.292
373 A 0 0 0. 0 0.
374 A 32 7 1.03 29 0.241
375 A 42 7 1.03 29 0.241
376 A 32 9 1.03 27 0.333
377 A 19 7 1. 26 0.269
378 A 0 0 0. 0 0.
379 A 25 12 1.03 24 0.5
380 A 11 10 1. 24 0.417
381 A 2 2 1. 24 0.083
382 A 0 0 0. 0 0.
383 A 0 0 0. 0 0.
384 A 27 13 1.02 24 0.542
385 A 12 10 1. 24 0.417
386 A 2 2 1. 24 0.083
387 A 0 0 0. 0 0.
388 A 40 15 1.02 24 0.625
389 A 14 12 1. 24 0.5
390 A 2 2 1. 24 0.083
391 A 0 0 0. 0 0.
392 A 25 12 1.02 24 0.5
393 A 11 10 1. 24 0.417
394 A 2 2 1. 24 0.083
395 A 0 0 0. 0 0.
396 A 0 0 0. 0 0.
397 A 27 13 1.02 24 0.542
398 A 12 10 1. 24 0.417
399 A 2 2 1. 24 0.083
400 A 0 0 0. 0 0.
401 A 7 6 1.28 19 0.316
402 A 19 7 1. 24 0.292
403 A 14 7 1. 24 0.292
404 A 9 7 1. 24 0.292
405 A 2 2 1. 24 0.083
406 A 0 0 0. 0 0.
407 A 0 0 0. 0 0.
408 A 20 8 1.03 24 0.333
409 A 15 8 1.03 24 0.333
410 A 10 9 1.04 24 0.375
411 A 2 2 1. 24 0.083
412 A 0 0 0. 0 0.
413 A 0 0 0. 0 0.
414 A 19 11 1.02 24 0.458
415 A 8 7 1.03 24 0.292
416 A 2 2 1. 24 0.083
417 A 0 0 0. 0 0.
418 A 0 0 0. 0 0.
419 A 7 5 1. 29 0.172
420 A 10 5 1. 27 0.185
421 A 7 5 1. 26 0.192
422 A 0 0 0. 0 0.
423 A 0 0 0. 0 0.
424 A 13 5 1. 29 0.172
425 A 13 5 1. 27 0.185
426 A 10 5 1. 26 0.192
427 A 0 0 0. 0 0.
428 A 0 0 0. 0 0.
429 A 16 5 1. 29 0.172
430 A 16 5 1. 27 0.185
431 A 13 5 1. 26 0.192
432 A 0 0 0. 0 0.
433 A 0 0 0. 0 0.
434 A 10 5 1.16 28 0.179
435 A 7 5 1.18 28 0.179
436 A 5 4 1.17 26 0.154
437 A 2 2 1.3 25 0.08
438 A 0 0 0. 0 0.
439 A 0 0 0. 0 0.
440 A 10 5 1. 29 0.172
441 A 7 5 1. 29 0.172
442 A 5 4 1. 27 0.148
443 A 2 2 1. 26 0.077
444 A 0 0 0. 0 0.
445 A 0 0 0. 0 0.
446 A 0 0 0. 0 0.
447 A 0 0 0. 0 0.
448 A 0 0 0. 0 0.
449 A 0 0 0. 0 0.
450 A 0 0 0. 0 0.
451 A 0 0 0. 0 0.
452 A 0 0 0. 0 0.
453 A 0 0 0. 0 0.
454 A 0 0 0. 0 0.
455 A 0 0 0. 0 0.
456 A 0 0 0. 0 0.
457 A 0 0 0. 0 0.
458 A 0 0 0. 0 0.
459 A 0 0 0. 0 0.
460 A 0 0 0. 0 0.
461 A 7 5 1. 19 0.263
462 A 6 6 1. 19 0.316
463 A 5 5 1. 19 0.263
464 A 4 4 1. 17 0.235
465 A 3 3 1. 16 0.188
466 A 13 13 1. 19 0.684
467 A 4 4 1. 19 0.21
468 A 11 11 1. 19 0.579
469 A 4 4 1. 19 0.21
470 A 7 7 1. 21 0.333
471 A 9 10 1. 21 0.476
472 A 6 6 1. 21 0.286
473 A 7 7 1. 19 0.368
474 A 6 6 1. 18 0.333
475 A 16 15 1.08 21 0.714
476 A 7 7 1.16 21 0.333
477 A 14 15 1. 21 0.714
478 A 7 8 1. 21 0.381
479 A 6 6 1. 21 0.286
480 A 10 9 1. 21 0.429
481 A 6 6 1. 21 0.286
482 A 8 7 1. 19 0.368
483 A 6 6 1. 18 0.333
484 A 23 15 1. 21 0.714
485 A 7 7 1. 21 0.333
486 A 18 19 1. 21 0.905
487 A 9 9 1. 21 0.429
488 A 6 6 1. 18 0.333
489 A 27 12 1. 21 0.571
490 A 23 9 1. 21 0.429
491 A 23 9 1. 21 0.429
492 A 18 6 1. 19 0.316
493 A 18 6 1. 18 0.333
494 A 25 8 0.97 21 0.381
495 A 23 10 1. 21 0.476
496 A 27 10 0.97 21 0.476
497 A 28 12 1. 21 0.571
498 A 24 10 1. 21 0.476
499 A 4 4 1. 19 0.21
500 A 29 12 0.97 21 0.571
501 A 31 14 0.97 21 0.667
502 A 49 12 1. 21 0.571
503 A 46 10 1. 21 0.476
504 A 26 9 1. 18 0.5
505 A 49 13 1. 21 0.619
506 A 29 11 1. 21 0.524
507 A 9 10 1.04 21 0.476
508 A 5 5 1. 19 0.263
509 A 34 13 0.98 21 0.619
510 A 36 15 0.98 21 0.714
511 A 80 11 1. 21 0.524
512 A 62 11 1. 21 0.524
513 A 34 10 1. 18 0.556
514 A 0 0 0. 0 0.
515 A 0 0 0. 0 0.
516 A 7 8 1. 20 0.4
517 A 8 10 1.04 20 0.5
518 A 9 11 1. 20 0.55
519 A 8 9 0.95 23 0.391
520 A 7 8 0.94 23 0.348
521 A 5 5 0.94 21 0.238
522 A 0 0 0. 0 0.
523 A 0 0 0. 0 0.
524 A 0 0 0. 0 0.
525 A 26 7 1. 20 0.35
526 A 17 7 1. 20 0.35
527 A 10 7 1. 18 0.389
528 A 3 3 1. 10 0.3
529 A 22 7 1. 20 0.35
530 A 0 0 0. 0 0.
531 A 0 0 0. 0 0.
532 A 0 0 0. 0 0.
533 A 0 0 0. 0 0.
534 A 27 7 0.98 20 0.35
535 A 15 7 1.27 18 0.389
536 A 4 4 1. 10 0.4
537 A 0 0 0. 0 0.
538 A 0 0 0. 0 0.
539 A 0 0 0. 0 0.
540 A 0 0 0. 0 0.
541 A 0 0 0. 0 0.
542 A 0 0 0. 0 0.
543 A 26 7 0.98 20 0.35
544 A 15 7 0.97 18 0.389
545 A 5 5 0.96 10 0.5
546 A 0 0 0. 0 0.
547 A 0 0 0. 0 0.
548 A 0 0 0. 0 0.
549 A 0 0 0. 0 0.
550 A 0 0 0. 0 0.
551 A 0 0 0. 0 0.
552 A 42 9 1. 22 0.409
553 A 23 9 1. 20 0.45
554 A 7 6 1. 12 0.5
555 A 0 0 0. 0 0.
556 A 0 0 0. 0 0.
557 A 32 12 1. 20 0.6
558 A 8 7 1. 12 0.583
559 A 0 0 0. 0 0.
560 A 0 0 0. 0 0.
561 A 39 8 1. 22 0.364
562 A 21 8 1. 20 0.4
563 A 6 5 1. 12 0.417
564 A 0 0 0. 0 0.
565 A 0 0 0. 0 0.
566 A 21 8 1. 20 0.4
567 A 7 6 1. 12 0.5
568 A 0 0 0. 0 0.
569 A 0 0 0. 0 0.

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