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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
  2.1.8 Mupad
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

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

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, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 37, 38, 39, 40, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 115, 116, 117, 118, 119, 120, 121, 122, 123, 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, 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, 215, 216, 217, 218, 219, 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, 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, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 551, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 591, 592, 593, 594 }

B grade: { 21, 32, 33, 34, 35, 36, 41, 44, 45, 46, 47, 369, 370, 371, 372, 557 }

C grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 124, 161, 210, 211, 212, 213, 214, 220, 221, 222, 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, 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, 567, 590 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 33, 36, 39, 42, 44, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 76, 77, 78, 80, 93, 94, 97, 98, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 126, 128, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 152, 153, 154, 155, 157, 159, 160, 161, 162, 163, 165, 166, 167, 170, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 189, 195, 198, 201, 202, 203, 204, 205, 206, 207, 208, 209, 211, 212, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 288, 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, 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, 422, 423, 424, 425, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 589, 593 }

B grade: { 6, 20, 21, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 43, 45, 46, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 73, 74, 75, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 95, 96, 99, 100, 101, 102, 103, 104, 105, 106, 123, 125, 127, 129, 149, 150, 156, 158, 164, 168, 169, 171, 172, 186, 187, 188, 190, 191, 192, 193, 194, 196, 197, 199, 200, 221, 222, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 287, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 370, 371, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 426, 427, 428, 429, 440, 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, 557 }

C grade: { 210, 213, 214, 220, 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, 592, 594 }

F grade: { 474, 475, 476, 551, 552, 553, 576, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591 }

2.1.4 Maxima

A grade: { 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 36, 39, 42, 44, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 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, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 215, 216, 217, 218, 219, 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, 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, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 589, 592, 593 }

B grade: { 3, 6, 20, 21, 31, 32, 34, 35, 37, 38, 40, 41, 43, 45, 46, 115, 161, 179, 185, 370, 371, 557, 594 }

C grade: { }

F grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 210, 211, 212, 213, 214, 220, 221, 222, 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, 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, 576, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78, 123, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 153, 159, 161, 167, 180, 181, 182, 183, 184, 215, 216, 217, 218, 219, 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, 284, 285, 286, 287, 288, 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, 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, 477, 478, 479, 480, 481, 482, 483, 484, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 571, 572, 573, 574, 575, 579, 580, 585, 589, 593, 594 }

B grade: { 40, 41, 44, 45, 46, 47, 152, 155, 156, 160, 163, 164, 168, 179, 185, 221, 222, 283, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 557, 569, 570, 577, 578, 591, 592 }

C grade: { 7, 8, 9, 10, 11, 12, 24, 25, 26, 57, 58, 70, 71, 72, 73, 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, 414, 415, 416, 417, 418, 419, 421, 422, 423, 424, 425, 426, 427, 428 }

F grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 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, 124, 125, 126, 127, 128, 129, 130, 131, 132, 149, 150, 151, 154, 157, 158, 162, 165, 166, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 220, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 420, 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, 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, 576, 581, 582, 583, 584, 586, 587, 588, 590 }

2.1.6 Sympy

A grade: { 1, 2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 22, 23, 24, 25, 26, 29, 31, 37, 38, 39, 42, 43, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 70, 71, 72, 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, 124, 126, 128, 130, 132, 133, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 180, 181, 182, 183, 184, 211, 212, 217, 218, 220, 223, 224, 225, 226, 227, 228, 229, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 251, 252, 253, 254, 255, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 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, 344, 345, 346, 351, 352, 353, 358, 359, 360, 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, 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, 489, 490, 491, 495, 496, 497, 498, 499, 510, 511, 512, 513, 514, 515, 516, 517, 518, 529, 530, 531, 532, 533, 540, 541, 542, 543, 544, 545, 546, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 581 }

B grade: { 125, 127, 129, 131, 140, 149, 150, 158, 166, 179, 185, 221, 222, 403, 404, 405, 406, 407, 557 }

C grade: { 18, 19, 20, 21, 27, 28, 30, 32, 33, 34, 35, 36, 49, 123, 161, 210, 213, 214, 215, 216, 219, 365, 366, 367, 368, 369, 370, 371, 372, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 534, 535, 536, 537, 538, 539, 547, 548, 549, 550, 576, 582, 584 }

F grade: { 3, 5, 6, 40, 41, 44, 45, 46, 47, 65, 68, 69, 73, 74, 75, 151, 171, 172, 173, 174, 175, 176, 177, 178, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 230, 231, 232, 246, 247, 248, 249, 250, 256, 257, 258, 259, 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, 341, 342, 343, 347, 348, 349, 350, 354, 355, 356, 357, 361, 362, 363, 364, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 485, 486, 487, 488, 492, 493, 494, 551, 583, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594 }

2.1.7 Giac

A grade: { 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 35, 36, 39, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 116, 118, 120, 122, 124, 126, 128, 130, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 170, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 189, 190, 191, 195, 196, 197, 201, 202, 203, 207, 208, 209, 215, 216, 217, 218, 219, 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, 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, 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, 477, 478, 479, 480, 481, 482, 483, 484, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 579, 580 }

B grade: { 3, 6, 29, 30, 31, 32, 33, 34, 44, 45, 115, 117, 119, 121, 123, 125, 127, 129, 131, 149, 150, 151, 161, 169, 171, 172, 173, 179, 186, 187, 188, 192, 193, 194, 198, 199, 200, 204, 205, 206, 254, 369, 370, 371, 485, 486, 557, 577, 578, 591, 592, 593, 594 }

C grade: { }

F grade: { 37, 38, 40, 41, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 210, 211, 212, 213, 214, 220, 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, 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, 576, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590 }

2.1.8 Mupad

A grade: { }

B 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, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 91, 92, 93, 94, 95, 96, 97, 98, 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, 215, 216, 217, 218, 219, 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, 435, 444, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 536, 548, 549, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 581, 582, 583, 589, 591, 592, 593, 594 }

C grade: { }

F grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 83, 84, 85, 86, 87, 88, 89, 90, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 210, 211, 212, 213, 214, 220, 430, 431, 432, 433, 434, 436, 437, 438, 439, 440, 441, 442, 443, 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, 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, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 550, 551, 552, 553, 576, 584, 585, 586, 587, 588, 590 }

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 Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 53 53 77 53 223 78 58
normalized size 1 1.00 0.74 0.74 1.07 0.74 3.10 1.08 0.81
time (sec) N/A 0.033 0.157 0.060 0.923 0.623 11.050 0.157 4.715
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 155 194 237 192 644 237 149
normalized size 1 1.00 0.96 1.20 1.47 1.19 4.00 1.47 0.93
time (sec) N/A 0.105 0.292 0.048 0.900 0.682 85.150 0.167 4.762
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 294 495 525 457 0 526 299
normalized size 1 1.00 1.07 1.81 1.92 1.67 0.00 1.92 1.09
time (sec) N/A 0.194 1.029 0.052 0.978 0.582 0.000 0.226 0.098
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 82 91 128 90 354 129 103
normalized size 1 1.00 0.72 0.80 1.12 0.79 3.11 1.13 0.90
time (sec) N/A 0.071 0.175 0.045 0.833 0.597 45.834 0.174 4.814
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 303 447 500 417 0 516 316
normalized size 1 1.00 0.95 1.40 1.56 1.30 0.00 1.61 0.99
time (sec) N/A 0.244 0.565 0.047 1.002 0.543 0.000 0.200 4.698
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 708 708 678 1417 1360 1221 0 1414 896
normalized size 1 1.00 0.96 2.00 1.92 1.72 0.00 2.00 1.27
time (sec) N/A 0.625 2.894 0.053 1.094 0.691 0.000 0.287 0.242
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 135 1931 76 141 127
normalized size 1 1.00 0.77 1.16 0.84 11.99 0.47 0.88 0.79
time (sec) N/A 0.111 0.083 0.050 1.912 2.198 1.187 0.166 5.511
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 180 238 169 2088 105 174 169
normalized size 1 1.00 0.95 1.26 0.89 11.05 0.56 0.92 0.89
time (sec) N/A 0.139 0.230 0.047 2.000 2.491 2.146 0.178 4.872
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 205 272 203 2215 146 194 206
normalized size 1 1.00 0.95 1.27 0.94 10.30 0.68 0.90 0.96
time (sec) N/A 0.187 0.254 0.055 1.965 2.360 2.470 0.226 0.268
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 229 306 238 2308 185 218 241
normalized size 1 1.00 0.95 1.28 0.99 9.62 0.77 0.91 1.00
time (sec) N/A 0.223 0.229 0.053 2.616 2.533 3.638 0.230 4.931
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 125 186 135 1961 76 132 127
normalized size 1 1.00 0.78 1.16 0.84 12.18 0.47 0.82 0.79
time (sec) N/A 0.121 0.073 0.053 2.509 2.360 1.433 0.175 4.847
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 125 188 132 1905 78 115 124
normalized size 1 1.00 0.78 1.17 0.82 11.83 0.48 0.71 0.77
time (sec) N/A 0.100 0.058 0.046 2.678 2.381 1.492 0.181 0.213
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 17 16 16 26 16 16
normalized size 1 1.00 1.00 0.89 0.84 0.84 1.37 0.84 0.84
time (sec) N/A 0.015 0.007 0.045 2.485 0.500 0.370 0.189 4.699
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 17 16 16 26 16 16
normalized size 1 1.00 1.00 0.89 0.84 0.84 1.37 0.84 0.84
time (sec) N/A 0.013 0.006 0.044 2.426 0.532 0.217 0.172 4.670
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 17 16 16 17 17 16
normalized size 1 1.00 1.00 0.77 0.73 0.73 0.77 0.77 0.73
time (sec) N/A 0.012 0.004 0.047 2.441 0.567 0.253 0.164 0.063
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 19 18 18 17 19 18
normalized size 1 1.00 1.00 0.86 0.82 0.82 0.77 0.86 0.82
time (sec) N/A 0.013 0.005 0.043 2.469 0.482 0.225 0.170 0.112
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 33 32 32 44 33 46
normalized size 1 1.00 1.00 0.80 0.78 0.78 1.07 0.80 1.12
time (sec) N/A 0.027 0.009 0.050 2.433 0.820 0.468 0.147 0.140
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 31 35 34 28 54 28 28
normalized size 1 1.00 1.07 1.21 1.17 0.97 1.86 0.97 0.97
time (sec) N/A 0.022 0.012 0.074 2.901 0.528 0.397 0.206 0.054
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 34 33 26 53 26 28
normalized size 1 1.00 1.00 1.17 1.14 0.90 1.83 0.90 0.97
time (sec) N/A 0.020 0.025 0.043 2.980 0.586 0.465 0.165 0.045
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 35 195 163 107 88 48 49
normalized size 1 1.00 0.90 5.00 4.18 2.74 2.26 1.23 1.26
time (sec) N/A 0.027 0.016 0.063 2.977 0.771 0.588 0.223 4.821
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 129 228 174 114 105 58 49
normalized size 1 1.00 3.15 5.56 4.24 2.78 2.56 1.41 1.20
time (sec) N/A 0.043 0.066 0.058 2.950 0.578 0.854 0.214 0.231
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 90 94 159 310 26 103 98
normalized size 1 1.00 0.76 0.80 1.35 2.63 0.22 0.87 0.83
time (sec) N/A 0.126 0.033 0.048 3.028 0.617 0.477 0.186 4.944
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 90 94 159 305 22 115 96
normalized size 1 1.00 0.76 0.80 1.35 2.58 0.19 0.97 0.81
time (sec) N/A 0.106 0.016 0.049 2.994 0.756 0.214 0.209 5.015
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 188 1961 76 147 127
normalized size 1 1.00 0.77 1.16 1.17 12.18 0.47 0.91 0.79
time (sec) N/A 0.166 0.047 0.045 2.958 2.323 1.282 0.198 4.923
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 122 108 145 1043 75 110 158
normalized size 1 1.00 0.91 0.81 1.08 7.78 0.56 0.82 1.18
time (sec) N/A 0.113 0.026 0.049 2.924 1.920 0.713 0.176 0.189
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 123 111 144 1267 70 95 178
normalized size 1 1.00 0.92 0.83 1.07 9.46 0.52 0.71 1.33
time (sec) N/A 0.089 0.039 0.045 3.045 2.374 0.590 0.173 5.009
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 72 43 42 36 60 37 84
normalized size 1 1.00 1.95 1.16 1.14 0.97 1.62 1.00 2.27
time (sec) N/A 0.058 0.023 0.053 2.992 0.727 0.500 0.169 4.809
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 71 45 44 36 60 38 86
normalized size 1 1.00 1.82 1.15 1.13 0.92 1.54 0.97 2.21
time (sec) N/A 0.042 0.026 0.058 2.966 0.622 0.697 0.154 0.093
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 76 117 47 134 58 115 147
normalized size 1 1.00 1.58 2.44 0.98 2.79 1.21 2.40 3.06
time (sec) N/A 0.037 0.022 0.056 2.991 0.681 0.625 0.416 5.137
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 72 84 36 40 85 111 145
normalized size 1 1.00 1.53 1.79 0.77 0.85 1.81 2.36 3.09
time (sec) N/A 0.034 0.029 0.045 3.003 0.597 0.745 0.204 5.024
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 99 122 122 182 58 91 176
normalized size 1 1.00 1.74 2.14 2.14 3.19 1.02 1.60 3.09
time (sec) N/A 0.069 0.033 0.051 2.943 0.824 0.987 0.306 5.272
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 106 110 93 43 95 98 142
normalized size 1 1.00 2.26 2.34 1.98 0.91 2.02 2.09 3.02
time (sec) N/A 0.061 0.043 0.052 2.988 0.549 0.934 0.214 0.328
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 146 87 51 52 100 166 172
normalized size 1 1.00 2.92 1.74 1.02 1.04 2.00 3.32 3.44
time (sec) N/A 0.077 0.054 0.051 3.030 0.709 0.738 0.224 5.098
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 150 135 167 53 110 162 172
normalized size 1 1.00 2.83 2.55 3.15 1.00 2.08 3.06 3.25
time (sec) N/A 0.081 0.102 0.049 3.031 0.674 0.843 0.221 5.402
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 149 132 168 56 109 91 173
normalized size 1 1.00 2.76 2.44 3.11 1.04 2.02 1.69 3.20
time (sec) N/A 0.060 0.067 0.043 3.149 0.662 0.771 0.176 5.270
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 147 90 52 53 102 85 171
normalized size 1 1.00 2.77 1.70 0.98 1.00 1.92 1.60 3.23
time (sec) N/A 0.058 0.052 0.050 2.999 0.599 0.791 0.215 5.191
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 95 117 162 160 70 0 193
normalized size 1 1.00 1.56 1.92 2.66 2.62 1.15 0.00 3.16
time (sec) N/A 0.041 0.021 0.056 2.869 0.867 0.732 0.000 5.307
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 116 122 173 205 73 0 221
normalized size 1 1.00 1.66 1.74 2.47 2.93 1.04 0.00 3.16
time (sec) N/A 0.072 0.032 0.054 3.022 0.892 1.241 0.000 5.239
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 50 32 31 31 42 32 46
normalized size 1 1.00 1.25 0.80 0.78 0.78 1.05 0.80 1.15
time (sec) N/A 0.030 0.030 0.046 2.988 0.869 0.294 0.321 0.155
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 122 310 236 430 0 0 386
normalized size 1 1.00 1.74 4.43 3.37 6.14 0.00 0.00 5.51
time (sec) N/A 0.067 0.052 0.056 3.120 6.322 0.000 0.000 6.232
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 88 88 238 345 252 470 0 0 444
normalized size 1 1.00 2.70 3.92 2.86 5.34 0.00 0.00 5.05
time (sec) N/A 0.112 0.655 0.054 3.041 5.660 0.000 0.000 6.324
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 12 12 12 12 7 13 12
normalized size 1 1.00 1.09 1.09 1.09 1.09 0.64 1.18 1.09
time (sec) N/A 0.011 0.002 0.045 1.359 0.817 0.244 0.362 0.036
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 218 210 17 20 16 15
normalized size 1 1.00 1.00 10.38 10.00 0.81 0.95 0.76 0.71
time (sec) N/A 0.015 0.003 0.049 2.989 0.865 0.263 0.312 4.903
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 247 121 78 429 0 242 436
normalized size 1 1.00 3.48 1.70 1.10 6.04 0.00 3.41 6.14
time (sec) N/A 0.094 0.334 0.051 2.950 3.543 0.000 0.204 6.077
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 288 345 238 459 0 235 456
normalized size 1 1.00 3.79 4.54 3.13 6.04 0.00 3.09 6.00
time (sec) N/A 0.102 0.254 0.049 3.010 3.372 0.000 0.214 6.479
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 253 340 239 450 0 133 453
normalized size 1 1.00 3.24 4.36 3.06 5.77 0.00 1.71 5.81
time (sec) N/A 0.108 0.356 0.050 3.031 3.414 0.000 0.192 6.053
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 244 124 78 450 0 125 435
normalized size 1 1.00 3.25 1.65 1.04 6.00 0.00 1.67 5.80
time (sec) N/A 0.105 0.322 0.051 3.140 3.196 0.000 0.179 6.357
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 31 36 26 26 24 27 35
normalized size 1 1.00 0.97 1.12 0.81 0.81 0.75 0.84 1.09
time (sec) N/A 0.034 0.014 0.054 2.972 0.586 0.869 0.155 4.778
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 62 87 47 47 323 52 87
normalized size 1 1.00 1.13 1.58 0.85 0.85 5.87 0.95 1.58
time (sec) N/A 0.057 0.038 0.049 2.992 0.881 1.885 0.169 4.948
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 5 7 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.62 0.88 0.75
time (sec) N/A 0.006 0.001 0.054 1.270 0.785 0.134 0.154 0.023
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 33 32 32 5 33 63
normalized size 1 1.00 1.00 1.10 1.07 1.07 0.17 1.10 2.10
time (sec) N/A 0.030 0.010 0.053 2.958 0.859 0.336 0.156 4.930
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 16 16 15 17 16
normalized size 1 1.00 1.00 0.94 0.89 0.89 0.83 0.94 0.89
time (sec) N/A 0.019 0.006 0.050 2.926 0.789 0.161 0.149 0.041
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 113 98 97 97 117 97 97
normalized size 1 1.00 1.00 0.87 0.86 0.86 1.04 0.86 0.86
time (sec) N/A 0.099 0.005 0.045 1.386 0.737 0.731 0.165 0.061
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 88 75 74 74 90 74 74
normalized size 1 1.00 1.00 0.85 0.84 0.84 1.02 0.84 0.84
time (sec) N/A 0.060 0.003 0.050 1.387 0.630 0.155 0.155 0.036
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 51 50 50 58 50 50
normalized size 1 1.00 1.00 0.85 0.83 0.83 0.97 0.83 0.83
time (sec) N/A 0.038 0.003 0.041 1.402 0.741 0.097 0.165 0.028
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.014 0.001 0.043 1.322 0.700 0.127 0.198 0.018
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 135 1931 76 141 127
normalized size 1 1.00 0.77 1.16 0.84 11.99 0.47 0.88 0.79
time (sec) N/A 0.098 0.051 0.046 2.985 3.221 1.338 0.184 5.094
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 180 238 169 2088 105 174 169
normalized size 1 1.00 0.95 1.26 0.89 11.05 0.56 0.92 0.89
time (sec) N/A 0.127 0.173 0.046 3.016 3.131 1.851 0.213 5.084
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 585 585 78 1618 0 0 265 0 -1
normalized size 1 1.00 0.13 2.77 0.00 0.00 0.45 0.00 -0.00
time (sec) N/A 0.464 0.054 0.052 0.000 1.270 11.796 0.000 0.000
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 556 556 76 1546 0 0 170 0 -1
normalized size 1 1.00 0.14 2.78 0.00 0.00 0.31 0.00 -0.00
time (sec) N/A 0.327 0.035 0.062 0.000 1.312 7.358 0.000 0.000
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 525 525 75 1480 0 0 163 0 -1
normalized size 1 1.00 0.14 2.82 0.00 0.00 0.31 0.00 -0.00
time (sec) N/A 0.239 0.036 0.055 0.000 0.668 8.149 0.000 0.000
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 490 490 75 1536 0 0 78 0 -1
normalized size 1 1.00 0.15 3.13 0.00 0.00 0.16 0.00 -0.00
time (sec) N/A 0.158 0.068 0.052 0.000 0.876 8.054 0.000 0.000
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 96 1662 0 0 163 0 -1
normalized size 1 1.00 0.18 3.18 0.00 0.00 0.31 0.00 -0.00
time (sec) N/A 0.249 0.065 0.052 0.000 1.014 20.908 0.000 0.000
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 554 554 123 1782 0 0 163 0 -1
normalized size 1 1.00 0.22 3.22 0.00 0.00 0.29 0.00 -0.00
time (sec) N/A 0.317 0.105 0.128 0.000 0.759 68.681 0.000 0.000
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 581 581 138 1902 0 0 0 0 -1
normalized size 1 1.00 0.24 3.27 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.410 0.204 0.131 0.000 0.718 0.000 0.000 0.000
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 590 590 135 1491 0 0 187 0 -1
normalized size 1 1.00 0.23 2.53 0.00 0.00 0.32 0.00 -0.00
time (sec) N/A 0.556 0.162 0.061 0.000 1.108 8.043 0.000 0.000
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 594 594 130 1547 0 0 189 0 -1
normalized size 1 1.00 0.22 2.60 0.00 0.00 0.32 0.00 -0.00
time (sec) N/A 0.433 0.145 0.059 0.000 0.694 32.600 0.000 0.000
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 628 628 170 1673 0 0 0 0 -1
normalized size 1 1.00 0.27 2.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.500 0.222 0.063 0.000 1.173 0.000 0.000 0.000
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 676 676 196 1793 0 0 0 0 -1
normalized size 1 1.00 0.29 2.65 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.675 0.396 0.065 0.000 0.803 0.000 0.000 0.000
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 200 211 192 5014 156 175 357
normalized size 1 1.00 1.08 1.13 1.03 26.96 0.84 0.94 1.92
time (sec) N/A 0.178 0.088 0.049 2.925 3.158 1.384 0.176 0.262
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 214 325 240 7245 245 214 370
normalized size 1 1.00 0.96 1.46 1.08 32.64 1.10 0.96 1.67
time (sec) N/A 0.319 0.238 0.051 2.960 5.134 5.714 0.186 5.143
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 280 277 446 303 8787 325 294 513
normalized size 1 0.99 0.98 1.58 1.07 31.16 1.15 1.04 1.82
time (sec) N/A 0.443 0.365 0.051 3.044 13.214 60.245 0.193 4.973
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 270 269 444 314 12827 0 264 769
normalized size 1 0.99 0.99 1.63 1.15 47.16 0.00 0.97 2.83
time (sec) N/A 0.490 0.422 0.071 3.033 3.923 0.000 0.212 5.134
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 439 837 520 0 0 432 1700
normalized size 1 1.00 1.06 2.01 1.25 0.00 0.00 1.04 4.09
time (sec) N/A 0.700 0.577 0.052 3.049 0.000 0.000 0.233 4.913
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 645 643 678 1339 833 0 0 723 2971
normalized size 1 1.00 1.05 2.08 1.29 0.00 0.00 1.12 4.61
time (sec) N/A 1.097 0.476 0.056 3.126 0.000 0.000 0.210 5.047
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 54 38 37 37 44 38 49
normalized size 1 1.00 1.26 0.88 0.86 0.86 1.02 0.88 1.14
time (sec) N/A 0.078 0.016 0.052 2.858 0.779 0.251 0.151 0.098
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 54 38 37 37 46 38 51
normalized size 1 1.00 1.17 0.83 0.80 0.80 1.00 0.83 1.11
time (sec) N/A 0.084 0.029 0.052 2.900 0.549 0.308 0.157 0.093
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 38 37 37 48 38 49
normalized size 1 1.00 1.00 0.86 0.84 0.84 1.09 0.86 1.11
time (sec) N/A 0.043 0.010 0.047 2.809 0.669 0.327 0.153 4.697
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 47 407 0 0 92 0 312
normalized size 1 1.00 0.20 1.77 0.00 0.00 0.40 0.00 1.36
time (sec) N/A 0.060 0.041 0.111 0.000 0.542 3.352 0.000 0.152
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 43 368 0 0 97 0 342
normalized size 1 1.00 0.17 1.43 0.00 0.00 0.38 0.00 1.33
time (sec) N/A 0.067 0.017 0.129 0.000 0.732 5.454 0.000 5.138
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 63 407 0 0 82 0 326
normalized size 1 1.00 0.44 2.83 0.00 0.00 0.57 0.00 2.26
time (sec) N/A 0.027 0.039 0.069 0.000 0.705 6.187 0.000 4.875
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 67 370 0 0 99 0 360
normalized size 1 1.00 0.50 2.74 0.00 0.00 0.73 0.00 2.67
time (sec) N/A 0.033 0.029 0.065 0.000 0.668 3.579 0.000 4.909
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 468 468 90 1003 0 0 122 0 -1
normalized size 1 1.00 0.19 2.14 0.00 0.00 0.26 0.00 -0.00
time (sec) N/A 0.121 0.097 0.268 0.000 0.773 10.490 0.000 0.000
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 481 481 91 949 0 0 128 0 -1
normalized size 1 1.00 0.19 1.97 0.00 0.00 0.27 0.00 -0.00
time (sec) N/A 0.139 0.087 0.293 0.000 0.655 14.663 0.000 0.000
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 92 952 0 0 112 0 -1
normalized size 1 1.00 0.34 3.51 0.00 0.00 0.41 0.00 -0.00
time (sec) N/A 0.066 0.044 0.115 0.000 0.531 9.214 0.000 0.000
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 93 1012 0 0 129 0 -1
normalized size 1 1.00 0.35 3.80 0.00 0.00 0.48 0.00 -0.00
time (sec) N/A 0.062 0.050 0.108 0.000 0.672 8.679 0.000 0.000
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 520 520 89 1004 0 0 124 0 -1
normalized size 1 1.00 0.17 1.93 0.00 0.00 0.24 0.00 -0.00
time (sec) N/A 0.213 0.054 0.201 0.000 0.802 5.128 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 533 533 89 950 0 0 129 0 -1
normalized size 1 1.00 0.17 1.78 0.00 0.00 0.24 0.00 -0.00
time (sec) N/A 0.172 0.055 0.187 0.000 0.558 5.969 0.000 0.000
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 90 953 0 0 114 0 -1
normalized size 1 1.00 0.35 3.72 0.00 0.00 0.45 0.00 -0.00
time (sec) N/A 0.083 0.043 0.097 0.000 0.679 5.174 0.000 0.000
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 92 1013 0 0 131 0 -1
normalized size 1 1.00 0.37 4.04 0.00 0.00 0.52 0.00 -0.00
time (sec) N/A 0.064 0.041 0.080 0.000 0.591 6.612 0.000 0.000
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 49 407 0 0 92 0 313
normalized size 1 1.00 0.39 3.20 0.00 0.00 0.72 0.00 2.46
time (sec) N/A 0.019 0.026 0.108 0.000 0.508 3.516 0.000 0.126
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 45 368 0 0 97 0 343
normalized size 1 1.00 0.32 2.59 0.00 0.00 0.68 0.00 2.42
time (sec) N/A 0.025 0.018 0.107 0.000 0.614 4.389 0.000 4.738
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 63 407 0 0 82 0 327
normalized size 1 1.00 0.24 1.54 0.00 0.00 0.31 0.00 1.24
time (sec) N/A 0.054 0.033 0.066 0.000 0.665 5.715 0.000 4.750
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 67 370 0 0 97 0 361
normalized size 1 1.00 0.27 1.50 0.00 0.00 0.39 0.00 1.46
time (sec) N/A 0.054 0.032 0.063 0.000 0.690 3.363 0.000 4.824
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 47 407 0 0 92 0 312
normalized size 1 1.00 0.37 3.23 0.00 0.00 0.73 0.00 2.48
time (sec) N/A 0.025 0.035 0.074 0.000 0.689 3.301 0.000 4.820
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 43 368 0 0 97 0 342
normalized size 1 1.00 0.30 2.57 0.00 0.00 0.68 0.00 2.39
time (sec) N/A 0.025 0.012 0.065 0.000 0.579 4.886 0.000 0.052
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 63 407 0 0 82 0 326
normalized size 1 1.00 0.24 1.55 0.00 0.00 0.31 0.00 1.24
time (sec) N/A 0.050 0.023 0.064 0.000 0.512 3.159 0.000 0.061
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 67 370 0 0 97 0 360
normalized size 1 1.00 0.27 1.49 0.00 0.00 0.39 0.00 1.45
time (sec) N/A 0.052 0.024 0.064 0.000 0.561 5.217 0.000 4.900
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 90 1003 0 0 122 0 -1
normalized size 1 1.00 0.35 3.92 0.00 0.00 0.48 0.00 -0.00
time (sec) N/A 0.045 0.074 0.244 0.000 0.622 11.533 0.000 0.000
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 90 949 0 0 128 0 -1
normalized size 1 1.00 0.34 3.61 0.00 0.00 0.49 0.00 -0.00
time (sec) N/A 0.042 0.093 0.224 0.000 0.749 13.434 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 497 497 91 952 0 0 112 0 -1
normalized size 1 1.00 0.18 1.92 0.00 0.00 0.23 0.00 -0.00
time (sec) N/A 0.133 0.068 0.076 0.000 0.690 12.956 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 488 488 93 1012 0 0 128 0 -1
normalized size 1 1.00 0.19 2.07 0.00 0.00 0.26 0.00 -0.00
time (sec) N/A 0.115 0.090 0.087 0.000 0.723 9.879 0.000 0.000
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 89 1004 0 0 124 0 -1
normalized size 1 1.00 0.37 4.17 0.00 0.00 0.51 0.00 -0.00
time (sec) N/A 0.069 0.077 0.180 0.000 0.612 6.498 0.000 0.000
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 89 950 0 0 129 0 -1
normalized size 1 1.00 0.36 3.83 0.00 0.00 0.52 0.00 -0.00
time (sec) N/A 0.061 0.061 0.180 0.000 0.643 6.191 0.000 0.000
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 549 549 90 953 0 0 114 0 -1
normalized size 1 1.00 0.16 1.74 0.00 0.00 0.21 0.00 -0.00
time (sec) N/A 0.218 0.045 0.078 0.000 0.615 6.151 0.000 0.000
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 540 540 92 1013 0 0 129 0 -1
normalized size 1 1.00 0.17 1.88 0.00 0.00 0.24 0.00 -0.00
time (sec) N/A 0.163 0.048 0.092 0.000 0.616 3.700 0.000 0.000
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 490 490 75 720 0 0 78 0 -1
normalized size 1 1.00 0.15 1.47 0.00 0.00 0.16 0.00 -0.00
time (sec) N/A 0.148 0.032 0.047 0.000 0.636 3.916 0.000 0.000
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 503 503 75 681 0 0 82 0 -1
normalized size 1 1.00 0.15 1.35 0.00 0.00 0.16 0.00 -0.00
time (sec) N/A 0.149 0.044 0.049 0.000 0.564 3.294 0.000 0.000
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 515 515 76 683 0 0 73 0 -1
normalized size 1 1.00 0.15 1.33 0.00 0.00 0.14 0.00 -0.00
time (sec) N/A 0.163 0.028 0.053 0.000 0.618 3.709 0.000 0.000
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 508 508 78 726 0 0 83 0 -1
normalized size 1 1.00 0.15 1.43 0.00 0.00 0.16 0.00 -0.00
time (sec) N/A 0.154 0.033 0.052 0.000 0.690 4.200 0.000 0.000
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 42 291 0 0 61 0 373
normalized size 1 1.00 0.17 1.18 0.00 0.00 0.25 0.00 1.52
time (sec) N/A 0.081 0.010 0.049 0.000 0.684 3.046 0.000 4.770
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 38 267 0 0 65 0 406
normalized size 1 1.00 0.14 0.99 0.00 0.00 0.24 0.00 1.50
time (sec) N/A 0.087 0.011 0.049 0.000 0.560 3.541 0.000 5.070
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 58 291 0 0 56 0 374
normalized size 1 1.00 0.21 1.06 0.00 0.00 0.20 0.00 1.36
time (sec) N/A 0.087 0.030 0.049 0.000 0.624 2.945 0.000 0.120
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 62 269 0 0 66 0 405
normalized size 1 1.00 0.24 1.03 0.00 0.00 0.25 0.00 1.55
time (sec) N/A 0.078 0.022 0.047 0.000 0.661 2.735 0.000 4.821
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B F(-1) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 134 101 126 0 126 225 182
normalized size 1 1.00 1.54 1.16 1.45 0.00 1.45 2.59 2.09
time (sec) N/A 0.065 0.039 0.046 2.882 0.000 1.219 0.181 5.012
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 184 151 207 0 124 213 160
normalized size 1 1.00 0.84 0.69 0.95 0.00 0.57 0.97 0.73
time (sec) N/A 0.171 0.090 0.045 3.042 0.000 1.030 0.186 4.798
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 168 142 157 0 156 254 283
normalized size 1 1.00 1.53 1.29 1.43 0.00 1.42 2.31 2.57
time (sec) N/A 0.082 0.202 0.050 3.038 0.000 1.798 0.173 4.919
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 224 188 238 0 155 238 282
normalized size 1 1.00 0.93 0.78 0.99 0.00 0.64 0.99 1.17
time (sec) N/A 0.202 0.279 0.052 2.932 0.000 1.511 0.170 4.944
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 193 180 186 0 194 272 315
normalized size 1 1.00 1.42 1.32 1.37 0.00 1.43 2.00 2.32
time (sec) N/A 0.110 0.208 0.049 3.015 0.000 1.970 0.188 4.979
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 249 222 269 0 192 256 315
normalized size 1 1.00 0.94 0.83 1.01 0.00 0.72 0.96 1.18
time (sec) N/A 0.230 0.264 0.049 3.061 0.000 1.989 0.181 4.989
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 217 177 223 0 231 296 351
normalized size 1 1.00 1.34 1.09 1.38 0.00 1.43 1.83 2.17
time (sec) N/A 0.130 0.215 0.064 2.974 0.000 2.062 0.278 4.975
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 274 225 304 0 231 280 350
normalized size 1 1.00 0.94 0.77 1.04 0.00 0.79 0.96 1.20
time (sec) N/A 0.268 0.338 0.070 3.198 0.000 1.807 0.180 0.309
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 42 44 35 35 313 37 100
normalized size 1 1.00 1.75 1.83 1.46 1.46 13.04 1.54 4.17
time (sec) N/A 0.018 0.021 0.044 3.042 0.860 0.923 0.147 4.918
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 99 68 86 0 83 86 71
normalized size 1 1.00 1.01 0.69 0.88 0.00 0.85 0.88 0.72
time (sec) N/A 0.067 0.125 0.046 2.998 0.000 0.705 0.172 0.092
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 187 161 153 0 471 263 725
normalized size 1 1.00 1.61 1.39 1.32 0.00 4.06 2.27 6.25
time (sec) N/A 0.095 0.062 0.045 2.911 0.000 11.044 0.179 5.143
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 229 280 257 0 466 275 712
normalized size 1 1.00 0.83 1.01 0.93 0.00 1.68 0.99 2.57
time (sec) N/A 0.197 0.115 0.046 3.042 0.000 10.540 0.174 5.086
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 211 228 191 0 508 311 477
normalized size 1 1.00 1.45 1.56 1.31 0.00 3.48 2.13 3.27
time (sec) N/A 0.128 0.283 0.055 2.936 0.000 13.740 0.182 4.982
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 305 344 294 0 505 306 472
normalized size 1 1.00 0.99 1.12 0.95 0.00 1.64 0.99 1.53
time (sec) N/A 0.255 0.545 0.049 3.102 0.000 11.548 0.177 0.333
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 244 286 230 0 563 340 826
normalized size 1 1.00 1.36 1.60 1.28 0.00 3.15 1.90 4.61
time (sec) N/A 0.167 0.289 0.052 3.124 0.000 45.341 0.235 5.111
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 337 396 336 0 558 336 826
normalized size 1 1.00 0.99 1.16 0.99 0.00 1.64 0.99 2.42
time (sec) N/A 0.311 0.417 0.051 3.089 0.000 40.860 0.191 5.047
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 276 274 279 0 612 377 874
normalized size 1 1.00 1.31 1.30 1.32 0.00 2.90 1.79 4.14
time (sec) N/A 0.211 0.284 0.061 3.019 0.000 59.744 0.223 5.220
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 372 372 369 394 383 0 610 373 873
normalized size 1 1.00 0.99 1.06 1.03 0.00 1.64 1.00 2.35
time (sec) N/A 0.379 0.585 0.065 3.108 0.000 63.470 0.191 5.137
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 27 24 25 24 27 25 25
normalized size 1 1.00 0.96 0.86 0.89 0.86 0.96 0.89 0.89
time (sec) N/A 0.011 0.002 0.045 1.372 0.605 0.119 0.145 4.674
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 32 27 27 27 29 27 27
normalized size 1 1.00 0.97 0.82 0.82 0.82 0.88 0.82 0.82
time (sec) N/A 0.014 0.002 0.041 1.396 0.491 0.073 0.169 0.034
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 51 50 50 58 50 50
normalized size 1 1.00 1.00 0.85 0.83 0.83 0.97 0.83 0.83
time (sec) N/A 0.062 0.002 0.048 1.356 0.583 0.110 0.150 0.025
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 27 27 27 31 27 27
normalized size 1 1.00 1.00 0.82 0.82 0.82 0.94 0.82 0.82
time (sec) N/A 0.013 0.001 0.042 1.357 0.530 0.132 0.195 0.039
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 51 50 50 60 50 50
normalized size 1 1.00 1.00 0.85 0.83 0.83 1.00 0.83 0.83
time (sec) N/A 0.027 0.003 0.044 1.317 0.609 0.083 0.151 0.025
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 65 54 53 53 61 53 53
normalized size 1 1.00 1.00 0.83 0.82 0.82 0.94 0.82 0.82
time (sec) N/A 0.098 0.003 0.039 1.349 0.450 0.135 0.149 0.027
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 92 77 76 76 90 76 76
normalized size 1 1.00 1.00 0.84 0.83 0.83 0.98 0.83 0.83
time (sec) N/A 0.053 0.004 0.043 1.430 0.464 0.163 0.150 0.038
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 33 27 15 27 29 16 26
normalized size 1 1.00 1.94 1.59 0.88 1.59 1.71 0.94 1.53
time (sec) N/A 0.005 0.001 0.044 1.386 0.697 0.244 0.143 0.033
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 60 51 50 50 58 50 50
normalized size 1 1.00 1.33 1.13 1.11 1.11 1.29 1.11 1.11
time (sec) N/A 0.019 0.003 0.043 1.314 0.572 0.078 0.201 0.024
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 65 54 53 53 60 53 53
normalized size 1 1.00 1.30 1.08 1.06 1.06 1.20 1.06 1.06
time (sec) N/A 0.020 0.003 0.039 1.320 0.597 0.116 0.163 0.027
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 92 77 76 76 88 76 76
normalized size 1 1.00 1.19 1.00 0.99 0.99 1.14 0.99 0.99
time (sec) N/A 0.051 0.004 0.044 1.363 0.535 0.085 0.150 0.038
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 65 54 53 53 61 53 53
normalized size 1 1.00 1.30 1.08 1.06 1.06 1.22 1.06 1.06
time (sec) N/A 0.023 0.004 0.043 1.360 0.526 0.085 0.146 0.027
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 92 77 76 76 90 76 76
normalized size 1 1.00 1.19 1.00 0.99 0.99 1.17 0.99 0.99
time (sec) N/A 0.042 0.005 0.043 1.337 0.443 0.146 0.201 0.038
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 97 80 79 79 92 79 79
normalized size 1 1.00 1.18 0.98 0.96 0.96 1.12 0.96 0.96
time (sec) N/A 0.084 0.005 0.038 1.417 0.685 0.112 0.161 0.041
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 124 103 102 102 121 105 102
normalized size 1 1.00 1.14 0.94 0.94 0.94 1.11 0.96 0.94
time (sec) N/A 0.080 0.008 0.040 1.393 0.457 0.089 0.167 4.677
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 180 151 150 150 180 154 150
normalized size 1 1.00 1.19 1.00 0.99 0.99 1.19 1.02 0.99
time (sec) N/A 0.106 0.005 0.049 1.339 0.504 0.133 0.168 4.863
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 220 248 200 0 520 320 483
normalized size 1 1.00 1.42 1.60 1.29 0.00 3.35 2.06 3.12
time (sec) N/A 0.118 0.229 0.052 3.002 0.000 24.169 0.231 0.415
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 253 326 249 0 583 358 832
normalized size 1 1.00 1.35 1.73 1.32 0.00 3.10 1.90 4.43
time (sec) N/A 0.155 0.262 0.054 2.964 0.000 116.916 0.204 5.185
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 286 280 297 0 0 395 880
normalized size 1 1.00 1.30 1.27 1.35 0.00 0.00 1.80 4.00
time (sec) N/A 0.189 0.502 0.058 3.061 0.000 0.000 0.187 5.246
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 78 114 123 284 88 97 36
normalized size 1 1.00 0.77 1.13 1.22 2.81 0.87 0.96 0.36
time (sec) N/A 0.096 0.034 0.045 2.937 0.818 0.441 0.196 0.125
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 16 15 15 19 15 15
normalized size 1 1.00 1.00 0.73 0.68 0.68 0.86 0.68 0.68
time (sec) N/A 0.013 0.011 0.039 2.875 0.779 0.134 0.166 4.774
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 107 129 147 0 88 115 119
normalized size 1 1.00 0.87 1.05 1.20 0.00 0.72 0.93 0.97
time (sec) N/A 0.103 0.055 0.049 2.907 0.000 0.717 0.191 0.200
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 78 114 123 278 88 97 32
normalized size 1 1.00 0.77 1.13 1.22 2.75 0.87 0.96 0.32
time (sec) N/A 0.077 0.017 0.043 3.038 1.015 0.430 0.202 4.974
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 113 226 167 2278 68 131 315
normalized size 1 1.00 0.80 1.60 1.18 16.16 0.48 0.93 2.23
time (sec) N/A 0.098 0.061 0.043 3.038 0.748 0.573 0.204 5.110
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 99 129 147 0 85 114 162
normalized size 1 1.00 0.80 1.05 1.20 0.00 0.69 0.93 1.32
time (sec) N/A 0.118 0.054 0.047 3.090 0.000 0.770 0.195 0.217
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 129 241 187 0 292 143 270
normalized size 1 1.00 0.79 1.48 1.15 0.00 1.79 0.88 1.66
time (sec) N/A 0.124 0.083 0.048 3.062 0.000 5.070 0.216 5.519
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 12 11 11 10 11 9
normalized size 1 1.00 1.00 0.92 0.85 0.85 0.77 0.85 0.69
time (sec) N/A 0.004 0.004 0.046 1.323 0.797 0.094 0.164 0.030
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 108 125 149 359 51 109 117
normalized size 1 1.00 0.95 1.10 1.31 3.15 0.45 0.96 1.03
time (sec) N/A 0.099 0.034 0.048 3.056 0.851 0.417 0.196 0.283
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A B A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 65 28 113 27 53 93 25
normalized size 1 1.00 1.81 0.78 3.14 0.75 1.47 2.58 0.69
time (sec) N/A 0.031 0.045 0.047 3.062 0.784 0.411 0.181 0.056
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 128 140 171 0 199 125 307
normalized size 1 1.00 0.94 1.03 1.26 0.00 1.46 0.92 2.26
time (sec) N/A 0.118 0.096 0.045 3.053 0.000 1.684 0.197 5.496
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 108 125 152 272 70 109 117
normalized size 1 1.00 0.95 1.10 1.33 2.39 0.61 0.96 1.03
time (sec) N/A 0.121 0.030 0.041 3.026 0.898 0.422 0.276 0.374
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 148 237 195 2326 148 137 286
normalized size 1 1.00 0.96 1.54 1.27 15.10 0.96 0.89 1.86
time (sec) N/A 0.117 0.106 0.047 2.993 1.167 1.379 0.209 5.810
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 125 140 174 0 189 124 300
normalized size 1 1.00 0.92 1.03 1.28 0.00 1.39 0.91 2.21
time (sec) N/A 0.140 0.083 0.046 3.017 0.000 1.991 0.197 5.388
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 164 252 207 0 580 149 1168
normalized size 1 1.00 0.93 1.43 1.18 0.00 3.30 0.85 6.64
time (sec) N/A 0.144 0.187 0.046 2.993 0.000 13.068 0.216 5.636
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 5 7 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.62 0.88 0.75
time (sec) N/A 0.008 0.003 0.043 1.347 0.739 0.073 0.150 0.023
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 50 102 76 145 73 70 156
normalized size 1 1.00 0.94 1.92 1.43 2.74 1.38 1.32 2.94
time (sec) N/A 0.042 0.042 0.046 3.004 0.724 0.427 0.152 0.402
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 203 171 160 0 187 290 312
normalized size 1 1.00 1.64 1.38 1.29 0.00 1.51 2.34 2.52
time (sec) N/A 0.087 0.064 0.049 3.024 0.000 2.278 0.173 5.034
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 283 286 296 0 187 270 305
normalized size 1 1.00 1.02 1.03 1.07 0.00 0.68 0.97 1.10
time (sec) N/A 0.196 0.240 0.047 2.975 0.000 2.268 0.209 5.041
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 249 244 202 0 0 303 5082
normalized size 1 1.00 1.68 1.65 1.36 0.00 0.00 2.05 34.34
time (sec) N/A 0.203 0.092 0.047 3.104 0.000 0.000 0.194 5.507
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 221 289 224 0 0 344 1393
normalized size 1 1.00 1.28 1.68 1.30 0.00 0.00 2.00 8.10
time (sec) N/A 0.165 0.425 0.052 3.114 0.000 0.000 0.184 5.560
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 263 328 284 0 0 393 1002
normalized size 1 1.00 1.19 1.48 1.29 0.00 0.00 1.78 4.53
time (sec) N/A 0.263 0.772 0.072 3.004 0.000 0.000 0.195 5.436
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 313 368 345 0 0 442 1056
normalized size 1 1.00 1.18 1.38 1.30 0.00 0.00 1.66 3.97
time (sec) N/A 0.320 0.390 0.059 3.179 0.000 0.000 0.189 5.662
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 319 311 429 328 0 0 340 5042
normalized size 1 1.00 0.97 1.34 1.03 0.00 0.00 1.07 15.81
time (sec) N/A 0.351 0.407 0.055 3.028 0.000 0.000 0.273 5.588
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 319 482 350 0 0 365 1383
normalized size 1 1.00 0.94 1.41 1.03 0.00 0.00 1.07 4.06
time (sec) N/A 0.305 0.232 0.053 3.003 0.000 0.000 0.203 5.592
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 366 519 412 0 0 416 1001
normalized size 1 1.00 0.93 1.32 1.05 0.00 0.00 1.06 2.54
time (sec) N/A 0.439 0.392 0.062 3.029 0.000 0.000 0.197 0.705
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 437 437 411 560 472 0 0 466 1053
normalized size 1 1.00 0.94 1.28 1.08 0.00 0.00 1.07 2.41
time (sec) N/A 0.531 0.520 0.064 3.120 0.000 0.000 0.188 5.562
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 9 8 15 15 15 15 15
normalized size 1 1.00 0.82 0.73 1.36 1.36 1.36 1.36 1.36
time (sec) N/A 0.013 0.002 0.046 1.295 0.582 0.093 0.242 0.031
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 14 8 12 12 8 12 11
normalized size 1 1.00 1.27 0.73 1.09 1.09 0.73 1.09 1.00
time (sec) N/A 0.012 0.001 0.043 1.292 0.703 0.082 0.159 0.024
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 7 7 5 7 6
normalized size 1 1.00 1.00 0.89 0.78 0.78 0.56 0.78 0.67
time (sec) N/A 0.009 0.001 0.041 1.295 0.504 0.070 0.154 0.019
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 5 7 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.62 0.88 0.75
time (sec) N/A 0.007 0.001 0.045 1.372 0.413 0.073 0.166 0.002
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 7 8 7 7 5 7 7
normalized size 1 1.00 1.00 1.14 1.00 1.00 0.71 1.00 1.00
time (sec) N/A 0.016 0.001 0.042 1.296 0.404 0.107 0.213 0.031
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 9 8 12 12 10 7 7
normalized size 1 1.00 0.82 0.73 1.09 1.09 0.91 0.64 0.64
time (sec) N/A 0.018 0.003 0.038 1.302 0.383 0.210 0.157 4.837
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 9 8 17 17 17 7 7
normalized size 1 1.00 0.82 0.73 1.55 1.55 1.55 0.64 0.64
time (sec) N/A 0.019 0.001 0.045 1.325 0.388 0.150 0.156 4.806
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 256 296 222 0 0 342 2478
normalized size 1 1.00 1.55 1.79 1.35 0.00 0.00 2.07 15.02
time (sec) N/A 0.261 0.427 0.047 3.039 0.000 0.000 0.197 5.544
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 301 367 240 0 0 541 3810
normalized size 1 1.00 1.60 1.95 1.28 0.00 0.00 2.88 20.27
time (sec) N/A 0.327 0.547 0.054 3.025 0.000 0.000 0.213 5.074
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 318 393 257 0 0 556 5673
normalized size 1 1.00 1.55 1.92 1.25 0.00 0.00 2.71 27.67
time (sec) N/A 0.313 0.512 0.052 3.074 0.000 0.000 0.215 5.161
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 342 462 351 0 0 375 2469
normalized size 1 1.00 1.01 1.37 1.04 0.00 0.00 1.11 7.33
time (sec) N/A 0.399 0.487 0.047 3.047 0.000 0.000 0.189 5.542
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 384 384 427 603 399 0 0 562 3798
normalized size 1 1.00 1.11 1.57 1.04 0.00 0.00 1.46 9.89
time (sec) N/A 0.565 0.371 0.056 3.077 0.000 0.000 0.209 5.054
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 402 402 445 627 429 0 0 578 5664
normalized size 1 1.00 1.11 1.56 1.07 0.00 0.00 1.44 14.09
time (sec) N/A 0.567 0.418 0.049 3.156 0.000 0.000 0.204 5.203
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 257 340 243 0 0 380 1626
normalized size 1 1.00 1.40 1.85 1.32 0.00 0.00 2.07 8.84
time (sec) N/A 0.204 0.284 0.053 3.077 0.000 0.000 0.193 5.615
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 302 409 260 0 0 583 2611
normalized size 1 1.00 1.49 2.01 1.28 0.00 0.00 2.87 12.86
time (sec) N/A 0.274 0.279 0.051 3.064 0.000 0.000 0.200 5.671
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 338 431 299 0 0 610 3943
normalized size 1 1.00 1.50 1.92 1.33 0.00 0.00 2.71 17.52
time (sec) N/A 0.310 0.251 0.060 3.149 0.000 0.000 0.225 5.909
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 359 515 374 0 0 398 1623
normalized size 1 1.00 1.02 1.46 1.06 0.00 0.00 1.13 4.60
time (sec) N/A 0.340 0.302 0.056 3.194 0.000 0.000 0.186 5.578
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 395 395 415 654 416 0 0 589 2605
normalized size 1 1.00 1.05 1.66 1.05 0.00 0.00 1.49 6.59
time (sec) N/A 0.492 0.465 0.054 3.194 0.000 0.000 0.598 5.702
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 417 460 675 458 0 0 617 3939
normalized size 1 1.00 1.10 1.62 1.10 0.00 0.00 1.48 9.45
time (sec) N/A 0.536 0.440 0.063 3.214 0.000 0.000 0.219 5.844
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 309 389 316 0 0 440 1687
normalized size 1 1.00 1.28 1.61 1.31 0.00 0.00 1.83 7.00
time (sec) N/A 0.339 0.416 0.062 2.963 0.000 0.000 0.208 5.732
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 359 472 343 0 0 652 2680
normalized size 1 1.00 1.34 1.76 1.28 0.00 0.00 2.43 10.00
time (sec) N/A 0.435 0.400 0.063 3.083 0.000 0.000 0.280 5.801
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 380 488 377 0 0 684 2696
normalized size 1 1.00 1.33 1.71 1.32 0.00 0.00 2.40 9.46
time (sec) N/A 0.391 0.338 0.061 3.129 0.000 0.000 0.213 5.910
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 411 561 446 0 0 459 1686
normalized size 1 1.00 1.00 1.36 1.08 0.00 0.00 1.11 4.08
time (sec) N/A 0.486 0.425 0.058 3.068 0.000 0.000 0.204 5.691
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 463 473 716 497 0 0 661 2680
normalized size 1 1.00 1.02 1.55 1.07 0.00 0.00 1.43 5.79
time (sec) N/A 0.686 0.677 0.061 3.175 0.000 0.000 0.226 5.749
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 480 480 500 731 535 0 0 693 2695
normalized size 1 1.00 1.04 1.52 1.11 0.00 0.00 1.44 5.61
time (sec) N/A 0.666 0.508 0.059 3.093 0.000 0.000 0.221 5.788
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 360 434 389 0 0 501 1747
normalized size 1 1.00 1.23 1.48 1.33 0.00 0.00 1.71 5.96
time (sec) N/A 0.431 0.487 0.064 3.178 0.000 0.000 0.263 5.994
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 422 522 429 0 0 727 2747
normalized size 1 1.00 1.27 1.58 1.30 0.00 0.00 2.20 8.30
time (sec) N/A 0.567 0.545 0.059 3.163 0.000 0.000 0.209 6.140
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 439 538 463 0 0 759 2764
normalized size 1 1.00 1.26 1.54 1.33 0.00 0.00 2.17 7.92
time (sec) N/A 0.524 0.525 0.060 3.085 0.000 0.000 0.207 6.396
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 462 462 461 607 517 0 0 521 1743
normalized size 1 1.00 1.00 1.31 1.12 0.00 0.00 1.13 3.77
time (sec) N/A 0.619 0.581 0.070 3.126 0.000 0.000 0.204 6.075
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 516 516 530 767 579 0 0 735 2741
normalized size 1 1.00 1.03 1.49 1.12 0.00 0.00 1.42 5.31
time (sec) N/A 0.850 1.010 0.066 3.160 0.000 0.000 0.207 6.084
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 534 534 555 783 613 0 0 767 2757
normalized size 1 1.00 1.04 1.47 1.15 0.00 0.00 1.44 5.16
time (sec) N/A 0.824 0.706 0.067 3.228 0.000 0.000 0.206 6.480
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 79 96 0 0 61 0 -1
normalized size 1 1.00 0.65 0.79 0.00 0.00 0.50 0.00 -0.01
time (sec) N/A 0.068 0.061 0.152 0.000 0.893 2.981 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 81 90 0 0 95 0 -1
normalized size 1 1.00 0.93 1.03 0.00 0.00 1.09 0.00 -0.01
time (sec) N/A 0.062 0.053 0.168 0.000 0.725 2.958 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 83 95 0 0 90 0 -1
normalized size 1 1.00 0.93 1.07 0.00 0.00 1.01 0.00 -0.01
time (sec) N/A 0.060 0.049 0.174 0.000 0.807 2.892 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 85 101 0 0 66 0 -1
normalized size 1 1.00 0.67 0.80 0.00 0.00 0.52 0.00 -0.01
time (sec) N/A 0.072 0.053 0.184 0.000 0.933 3.245 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 131 193 0 0 102 0 -1
normalized size 1 1.00 0.51 0.75 0.00 0.00 0.40 0.00 -0.00
time (sec) N/A 0.124 0.140 0.235 0.000 0.711 3.383 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 12 12 80 12 12
normalized size 1 1.00 1.00 0.93 0.86 0.86 5.71 0.86 0.86
time (sec) N/A 0.006 0.010 0.047 1.764 1.057 9.598 0.198 5.036
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 27 24 25 34 104 23 23
normalized size 1 1.00 0.93 0.83 0.86 1.17 3.59 0.79 0.79
time (sec) N/A 0.023 0.103 0.048 1.767 0.699 12.387 0.245 4.905
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 27 24 23 33 109 22 20
normalized size 1 1.00 1.08 0.96 0.92 1.32 4.36 0.88 0.80
time (sec) N/A 0.028 0.043 0.048 1.828 0.657 17.799 0.201 4.901
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 35 44 44 133 31 29
normalized size 1 1.00 1.00 0.92 1.16 1.16 3.50 0.82 0.76
time (sec) N/A 0.030 0.046 0.044 1.850 0.645 21.515 0.224 4.836
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 10 10 58 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 4.83 0.83 0.83
time (sec) N/A 0.003 0.006 0.048 3.244 0.688 5.208 0.181 4.847
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 281 516 0 0 260 0 -1
normalized size 1 1.00 0.73 1.34 0.00 0.00 0.68 0.00 -0.00
time (sec) N/A 0.424 0.256 0.204 0.000 0.786 7.364 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 51 173 0 835 1287 101 64
normalized size 1 1.00 0.47 1.59 0.00 7.66 11.81 0.93 0.59
time (sec) N/A 0.064 0.012 0.122 0.000 2.961 1.202 0.221 4.918
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 47 169 0 799 1287 101 65
normalized size 1 1.00 0.43 1.55 0.00 7.33 11.81 0.93 0.60
time (sec) N/A 0.041 0.011 0.112 0.000 2.774 1.284 0.185 4.981
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 187 266 209 210 216 246 237
normalized size 1 1.00 0.90 1.28 1.00 1.01 1.04 1.18 1.14
time (sec) N/A 0.316 0.106 0.046 1.374 0.748 1.318 0.173 4.920
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 154 218 169 170 172 197 189
normalized size 1 1.00 0.91 1.28 0.99 1.00 1.01 1.16 1.11
time (sec) N/A 0.242 0.093 0.046 1.383 0.636 1.345 0.186 4.959
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 119 170 129 130 128 148 141
normalized size 1 1.00 0.90 1.29 0.98 0.98 0.97 1.12 1.07
time (sec) N/A 0.183 0.073 0.050 1.374 0.588 1.045 0.168 4.927
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 88 124 91 92 88 101 96
normalized size 1 1.00 0.92 1.29 0.95 0.96 0.92 1.05 1.00
time (sec) N/A 0.140 0.051 0.044 1.389 0.745 1.126 0.205 4.827
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 75 97 77 80 70 79 76
normalized size 1 1.00 0.94 1.21 0.96 1.00 0.88 0.99 0.95
time (sec) N/A 0.120 0.037 0.050 1.383 0.774 5.262 0.205 4.925
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 77 94 77 85 70 95 74
normalized size 1 1.00 0.95 1.16 0.95 1.05 0.86 1.17 0.91
time (sec) N/A 0.116 0.048 0.056 1.335 0.774 14.561 0.177 4.973
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 88 116 93 101 85 126 92
normalized size 1 1.00 0.93 1.22 0.98 1.06 0.89 1.33 0.97
time (sec) N/A 0.129 0.075 0.052 1.356 0.571 74.001 0.163 4.993
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 128 161 125 127 0 184 123
normalized size 1 1.00 1.00 1.26 0.98 0.99 0.00 1.44 0.96
time (sec) N/A 0.162 0.093 0.049 1.358 0.718 0.000 0.178 5.025
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 164 210 166 168 0 235 161
normalized size 1 1.00 1.00 1.28 1.01 1.02 0.00 1.43 0.98
time (sec) N/A 0.181 0.087 0.057 1.359 0.909 0.000 0.168 5.073
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 194 260 208 210 0 287 200
normalized size 1 1.00 0.95 1.27 1.01 1.02 0.00 1.40 0.98
time (sec) N/A 0.209 0.237 0.053 1.415 0.954 0.000 0.170 0.257
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 351 592 351 342 469 454 358
normalized size 1 1.00 1.01 1.70 1.01 0.98 1.35 1.30 1.03
time (sec) N/A 0.333 0.088 0.049 3.015 0.642 4.350 0.182 0.311
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 311 554 313 321 513 441 313
normalized size 1 1.00 0.98 1.75 0.99 1.02 1.62 1.40 0.99
time (sec) N/A 0.306 0.107 0.050 2.946 0.598 4.057 0.185 5.162
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 306 544 311 304 423 401 311
normalized size 1 1.00 0.98 1.74 1.00 0.97 1.36 1.29 1.00
time (sec) N/A 0.298 0.113 0.045 2.968 0.723 3.243 0.179 5.187
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 266 502 269 281 469 386 267
normalized size 1 1.00 0.95 1.80 0.96 1.01 1.68 1.38 0.96
time (sec) N/A 0.273 0.117 0.047 3.025 0.693 2.481 0.182 5.147
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 264 492 267 249 376 346 264
normalized size 1 1.00 0.96 1.80 0.97 0.91 1.37 1.26 0.96
time (sec) N/A 0.267 0.109 0.046 2.929 0.638 2.511 0.185 5.101
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 231 450 225 568 427 291 225
normalized size 1 1.00 0.94 1.84 0.92 2.32 1.74 1.19 0.92
time (sec) N/A 0.216 0.179 0.046 3.014 0.794 2.380 0.196 5.135
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 229 442 223 600 342 253 222
normalized size 1 1.00 0.95 1.84 0.93 2.50 1.42 1.05 0.92
time (sec) N/A 0.153 0.168 0.043 3.014 0.543 3.414 0.187 5.174
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 224 419 217 560 408 269 204
normalized size 1 1.00 0.99 1.85 0.96 2.47 1.80 1.19 0.90
time (sec) N/A 0.193 0.205 0.049 2.962 0.642 4.724 0.181 5.372
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 218 414 214 565 326 232 201
normalized size 1 1.00 0.97 1.85 0.96 2.52 1.46 1.04 0.90
time (sec) N/A 0.170 0.161 0.055 2.982 0.747 4.364 0.217 0.284
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 220 412 217 556 411 261 209
normalized size 1 1.00 0.97 1.81 0.96 2.45 1.81 1.15 0.92
time (sec) N/A 0.186 0.157 0.057 3.037 0.655 11.527 0.184 5.164
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 220 410 214 584 328 220 207
normalized size 1 1.00 0.98 1.82 0.95 2.60 1.46 0.98 0.92
time (sec) N/A 0.170 0.122 0.051 3.080 0.564 19.683 0.483 5.091
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 231 440 234 610 432 275 219
normalized size 1 1.00 0.95 1.82 0.97 2.52 1.79 1.14 0.90
time (sec) N/A 0.188 0.145 0.048 3.067 0.832 46.610 0.213 5.200
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 231 441 234 595 348 297 220
normalized size 1 1.00 0.95 1.81 0.96 2.44 1.43 1.22 0.90
time (sec) N/A 0.174 0.245 0.061 3.009 0.712 88.516 0.196 5.126
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 266 491 260 262 0 376 253
normalized size 1 1.00 0.96 1.77 0.94 0.95 0.00 1.36 0.91
time (sec) N/A 0.222 0.135 0.062 3.054 0.737 0.000 0.194 5.329
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 266 493 260 295 0 338 253
normalized size 1 1.00 0.95 1.76 0.93 1.05 0.00 1.21 0.90
time (sec) N/A 0.199 0.163 0.054 2.974 0.773 0.000 0.185 5.153
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 308 546 307 317 0 419 286
normalized size 1 1.00 0.98 1.74 0.98 1.01 0.00 1.34 0.91
time (sec) N/A 0.238 0.135 0.053 2.988 0.789 0.000 0.183 5.228
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 311 548 307 335 0 393 287
normalized size 1 1.00 0.99 1.74 0.97 1.06 0.00 1.25 0.91
time (sec) N/A 0.229 0.153 0.056 3.114 0.587 0.000 0.195 5.171
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 346 600 353 355 0 474 323
normalized size 1 1.00 0.99 1.71 1.01 1.01 0.00 1.35 0.92
time (sec) N/A 0.258 0.146 0.056 3.029 0.834 0.000 0.190 5.164
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 205 288 222 303 236 300 356
normalized size 1 1.00 0.93 1.31 1.01 1.38 1.07 1.36 1.62
time (sec) N/A 0.341 0.209 0.065 1.303 0.585 14.416 0.249 4.988
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 167 240 180 257 189 248 233
normalized size 1 1.00 0.93 1.33 1.00 1.43 1.05 1.38 1.29
time (sec) N/A 0.265 0.142 0.059 1.381 0.765 12.381 0.183 4.995
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 129 192 138 202 141 217 155
normalized size 1 1.00 0.92 1.37 0.99 1.44 1.01 1.55 1.11
time (sec) N/A 0.199 0.124 0.056 1.397 0.605 12.812 0.197 4.930
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 93 142 98 143 100 206 103
normalized size 1 1.00 0.90 1.38 0.95 1.39 0.97 2.00 1.00
time (sec) N/A 0.145 0.068 0.066 1.352 0.850 11.614 0.189 0.085
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 95 125 100 145 95 125 100
normalized size 1 1.00 0.95 1.25 1.00 1.45 0.95 1.25 1.00
time (sec) N/A 0.125 0.181 0.062 1.319 0.681 41.960 0.168 5.033
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 97 132 116 172 0 131 109
normalized size 1 1.00 0.89 1.21 1.06 1.58 0.00 1.20 1.00
time (sec) N/A 0.142 0.151 0.059 1.434 0.609 0.000 0.213 5.046
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 118 167 138 208 0 201 130
normalized size 1 1.00 0.91 1.28 1.06 1.60 0.00 1.55 1.00
time (sec) N/A 0.154 0.137 0.066 1.353 0.884 0.000 0.168 5.014
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 160 229 181 261 0 275 175
normalized size 1 1.00 0.91 1.31 1.03 1.49 0.00 1.57 1.00
time (sec) N/A 0.203 0.139 0.063 1.433 0.617 0.000 0.196 5.084
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 198 282 226 310 0 331 216
normalized size 1 1.00 0.93 1.32 1.06 1.45 0.00 1.55 1.01
time (sec) N/A 0.234 0.264 0.069 1.438 0.813 0.000 0.171 5.087
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 364 622 369 488 500 451 481
normalized size 1 1.00 0.99 1.69 1.00 1.32 1.36 1.22 1.30
time (sec) N/A 0.467 0.435 0.053 2.982 0.592 15.903 0.199 0.347
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 335 319 584 325 455 539 442 362
normalized size 1 1.00 0.95 1.74 0.97 1.36 1.61 1.32 1.08
time (sec) N/A 0.705 0.196 0.054 3.021 0.559 58.232 0.200 5.278
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 315 567 321 423 449 394 358
normalized size 1 1.00 0.96 1.73 0.98 1.29 1.37 1.20 1.09
time (sec) N/A 0.369 0.304 0.055 3.016 0.629 14.983 0.183 5.201
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 282 529 277 920 490 344 287
normalized size 1 1.00 0.95 1.78 0.93 3.09 1.64 1.15 0.96
time (sec) N/A 0.463 0.299 0.058 3.078 0.616 51.285 0.187 5.222
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 288 288 277 514 270 946 401 295 280
normalized size 1 1.00 0.96 1.78 0.94 3.28 1.39 1.02 0.97
time (sec) N/A 0.326 0.193 0.053 2.985 0.657 12.901 0.179 0.311
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 255 495 259 874 461 318 246
normalized size 1 1.00 0.94 1.83 0.96 3.23 1.70 1.17 0.91
time (sec) N/A 0.289 0.187 0.054 3.122 0.804 22.482 0.220 5.232
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 251 482 254 861 377 273 241
normalized size 1 1.00 0.95 1.83 0.96 3.26 1.43 1.03 0.91
time (sec) N/A 0.264 0.200 0.055 3.045 0.901 7.023 0.208 5.177
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 255 474 258 860 457 305 244
normalized size 1 1.00 0.96 1.79 0.97 3.25 1.72 1.15 0.92
time (sec) N/A 0.253 0.212 0.058 3.015 0.800 32.216 0.185 5.390
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 250 463 258 902 381 261 245
normalized size 1 1.00 0.96 1.78 0.99 3.47 1.47 1.00 0.94
time (sec) N/A 0.246 0.219 0.061 2.971 0.835 77.381 0.178 5.222
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 255 486 267 902 473 310 247
normalized size 1 1.00 0.95 1.81 0.99 3.35 1.76 1.15 0.92
time (sec) N/A 0.288 0.274 0.066 2.930 0.555 177.026 0.197 5.177
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 253 477 268 897 0 264 248
normalized size 1 1.00 0.94 1.77 0.99 3.32 0.00 0.98 0.92
time (sec) N/A 0.272 0.192 0.055 2.927 0.621 0.000 0.177 5.127
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 281 529 292 982 0 333 274
normalized size 1 1.00 0.95 1.78 0.98 3.31 0.00 1.12 0.92
time (sec) N/A 0.384 0.258 0.069 3.053 0.680 0.000 0.231 5.184
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 280 520 292 959 0 347 274
normalized size 1 1.00 0.94 1.75 0.98 3.23 0.00 1.17 0.92
time (sec) N/A 0.370 0.240 0.063 3.031 0.684 0.000 0.199 5.200
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 334 334 319 575 323 442 0 437 310
normalized size 1 1.00 0.96 1.72 0.97 1.32 0.00 1.31 0.93
time (sec) N/A 0.457 0.206 0.063 3.133 0.762 0.000 0.371 5.406
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 335 317 566 323 475 0 391 310
normalized size 1 1.00 0.95 1.69 0.96 1.42 0.00 1.17 0.93
time (sec) N/A 0.434 0.325 0.058 3.065 0.760 0.000 0.180 5.121
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 370 631 374 507 0 482 348
normalized size 1 1.00 0.99 1.68 1.00 1.35 0.00 1.29 0.93
time (sec) N/A 0.534 0.413 0.063 2.974 0.812 0.000 0.207 5.118
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 246 361 275 396 0 349 449
normalized size 1 1.00 0.92 1.36 1.03 1.49 0.00 1.31 1.69
time (sec) N/A 0.436 0.190 0.061 1.542 0.585 0.000 0.184 4.958
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 208 313 233 353 0 298 293
normalized size 1 1.00 0.92 1.38 1.03 1.56 0.00 1.32 1.30
time (sec) N/A 0.331 0.202 0.061 1.423 0.798 0.000 0.246 4.969
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 170 266 191 295 0 236 204
normalized size 1 1.00 0.91 1.43 1.03 1.59 0.00 1.27 1.10
time (sec) N/A 0.269 0.165 0.058 1.352 0.838 0.000 0.216 4.924
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 145 213 147 225 0 146 152
normalized size 1 1.00 0.99 1.46 1.01 1.54 0.00 1.00 1.04
time (sec) N/A 0.201 0.103 0.072 1.395 0.541 0.000 0.184 0.105
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 105 156 109 158 0 100 112
normalized size 1 1.00 0.96 1.43 1.00 1.45 0.00 0.92 1.03
time (sec) N/A 0.152 0.061 0.062 1.384 0.593 0.000 0.196 4.939
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 104 147 129 187 0 128 123
normalized size 1 1.00 0.91 1.29 1.13 1.64 0.00 1.12 1.08
time (sec) N/A 0.155 0.126 0.062 1.369 0.517 0.000 0.241 0.175
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 121 163 144 250 0 173 135
normalized size 1 1.00 0.90 1.22 1.07 1.87 0.00 1.29 1.01
time (sec) N/A 0.171 0.109 0.059 1.355 0.722 0.000 0.183 5.068
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 149 213 182 316 0 189 167
normalized size 1 1.00 0.91 1.31 1.12 1.94 0.00 1.16 1.02
time (sec) N/A 0.200 0.133 0.059 1.398 0.629 0.000 0.194 5.099
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 200 293 232 396 0 324 222
normalized size 1 1.00 0.92 1.34 1.06 1.82 0.00 1.49 1.02
time (sec) N/A 0.264 0.166 0.067 1.459 0.738 0.000 0.188 5.171
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 238 349 280 448 0 380 265
normalized size 1 1.00 0.92 1.35 1.09 1.74 0.00 1.47 1.03
time (sec) N/A 0.304 0.267 0.063 1.465 0.823 0.000 0.201 0.307
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 411 706 424 667 0 500 575
normalized size 1 1.00 0.99 1.70 1.02 1.60 0.00 1.20 1.38
time (sec) N/A 0.742 0.688 0.066 3.056 0.625 0.000 0.203 5.241
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 384 384 380 668 380 634 0 491 425
normalized size 1 1.00 0.99 1.74 0.99 1.65 0.00 1.28 1.11
time (sec) N/A 1.050 0.554 0.068 3.004 0.551 0.000 0.202 5.339
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 362 651 376 602 0 443 420
normalized size 1 1.00 0.97 1.74 1.00 1.61 0.00 1.18 1.12
time (sec) N/A 0.606 0.468 0.064 3.033 0.563 0.000 0.197 5.351
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 329 611 330 1278 0 391 338
normalized size 1 1.00 0.95 1.77 0.96 3.70 0.00 1.13 0.98
time (sec) N/A 0.763 0.365 0.061 3.075 0.763 0.000 0.203 5.530
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 323 596 326 1318 0 345 335
normalized size 1 1.00 0.96 1.77 0.97 3.92 0.00 1.03 1.00
time (sec) N/A 0.509 0.368 0.053 3.035 0.844 0.000 0.197 5.302
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 300 574 311 1224 0 365 295
normalized size 1 1.00 0.95 1.82 0.98 3.87 0.00 1.16 0.93
time (sec) N/A 0.505 0.292 0.063 3.096 0.601 0.000 0.201 5.271
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 307 307 294 561 305 1213 0 319 290
normalized size 1 1.00 0.96 1.83 0.99 3.95 0.00 1.04 0.94
time (sec) N/A 0.412 0.308 0.065 3.061 0.731 0.000 0.216 5.143
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 284 550 296 1158 0 339 280
normalized size 1 1.00 0.94 1.83 0.98 3.85 0.00 1.13 0.93
time (sec) N/A 0.368 0.321 0.059 2.942 0.794 0.000 0.206 5.268
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 279 539 291 1184 0 295 275
normalized size 1 1.00 0.96 1.85 1.00 4.05 0.00 1.01 0.94
time (sec) N/A 0.307 0.235 0.062 3.068 0.778 0.000 0.198 5.196
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 303 303 286 547 300 1206 0 341 276
normalized size 1 1.00 0.94 1.81 0.99 3.98 0.00 1.13 0.91
time (sec) N/A 0.339 0.293 0.116 2.961 0.596 0.000 0.210 5.198
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 283 539 302 1217 0 312 279
normalized size 1 1.00 0.94 1.79 1.00 4.04 0.00 1.04 0.93
time (sec) N/A 0.329 0.295 0.061 3.073 0.678 0.000 0.215 5.164
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 317 303 574 317 1254 0 357 293
normalized size 1 1.00 0.96 1.81 1.00 3.96 0.00 1.13 0.92
time (sec) N/A 0.370 0.320 0.066 3.031 0.658 0.000 0.244 5.232
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 299 566 318 1247 0 310 293
normalized size 1 1.00 0.95 1.79 1.01 3.95 0.00 0.98 0.93
time (sec) N/A 0.368 0.275 0.063 3.051 0.655 0.000 0.231 5.196
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 328 611 343 1340 0 380 321
normalized size 1 1.00 0.96 1.78 1.00 3.91 0.00 1.11 0.94
time (sec) N/A 0.569 0.312 0.069 3.046 0.607 0.000 0.315 5.262
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 324 603 343 1317 0 394 321
normalized size 1 1.00 0.95 1.77 1.01 3.86 0.00 1.16 0.94
time (sec) N/A 0.547 0.346 0.062 2.949 0.617 0.000 0.232 5.217
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 366 659 376 621 0 486 359
normalized size 1 1.00 0.96 1.73 0.99 1.63 0.00 1.28 0.94
time (sec) N/A 0.714 0.588 0.075 3.199 0.738 0.000 0.202 5.279
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 376 651 376 654 0 440 359
normalized size 1 1.00 0.99 1.71 0.99 1.72 0.00 1.16 0.94
time (sec) N/A 0.669 0.577 0.066 3.286 0.717 0.000 0.350 5.176
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 424 424 419 716 427 686 0 531 397
normalized size 1 1.00 0.99 1.69 1.01 1.62 0.00 1.25 0.94
time (sec) N/A 0.853 0.666 0.071 3.055 0.839 0.000 0.220 5.304
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 59 45 44 44 53 45 56
normalized size 1 1.00 1.09 0.83 0.81 0.81 0.98 0.83 1.04
time (sec) N/A 0.072 0.015 0.047 2.897 0.727 0.180 0.162 0.099
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 24 24 24 25 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.80 0.83 0.80
time (sec) N/A 0.040 0.007 0.046 3.006 0.600 0.117 0.163 0.032
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 53 38 37 37 44 38 49
normalized size 1 1.00 1.20 0.86 0.84 0.84 1.00 0.86 1.11
time (sec) N/A 0.060 0.011 0.048 2.962 0.718 0.230 0.152 4.961
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 50 35 34 34 42 35 63
normalized size 1 1.00 1.22 0.85 0.83 0.83 1.02 0.85 1.54
time (sec) N/A 0.042 0.009 0.052 2.868 0.500 0.270 0.148 0.080
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 53 37 36 36 46 38 48
normalized size 1 1.00 1.26 0.88 0.86 0.86 1.10 0.90 1.14
time (sec) N/A 0.049 0.009 0.051 2.879 0.679 0.208 0.164 4.960
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 60 44 43 48 49 45 55
normalized size 1 1.00 1.22 0.90 0.88 0.98 1.00 0.92 1.12
time (sec) N/A 0.050 0.018 0.049 3.034 0.757 0.223 0.163 0.080
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 28 33 27 29 25
normalized size 1 1.00 1.00 0.84 0.88 1.03 0.84 0.91 0.78
time (sec) N/A 0.033 0.005 0.046 2.996 0.625 0.128 0.147 0.069
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 47 35 34 34 42 35 63
normalized size 1 1.00 1.15 0.85 0.83 0.83 1.02 0.85 1.54
time (sec) N/A 0.041 0.035 0.051 2.991 0.508 0.184 0.151 4.956
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 53 33 32 32 41 33 63
normalized size 1 1.00 1.36 0.85 0.82 0.82 1.05 0.85 1.62
time (sec) N/A 0.040 0.020 0.063 2.988 0.830 0.159 0.152 0.089
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 55 44 43 43 49 45 43
normalized size 1 1.00 1.00 0.80 0.78 0.78 0.89 0.82 0.78
time (sec) N/A 0.055 0.025 0.041 1.334 0.717 0.075 0.199 0.028
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 55 44 43 43 49 45 43
normalized size 1 1.00 1.00 0.80 0.78 0.78 0.89 0.82 0.78
time (sec) N/A 0.038 0.003 0.048 1.359 0.466 0.074 0.177 0.025
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 41 40 40 46 42 40
normalized size 1 1.00 1.00 0.82 0.80 0.80 0.92 0.84 0.80
time (sec) N/A 0.025 0.002 0.045 1.345 0.463 0.074 0.147 0.024
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 39 38 38 44 41 38
normalized size 1 1.00 1.00 0.85 0.83 0.83 0.96 0.89 0.83
time (sec) N/A 0.025 0.005 0.048 1.326 0.724 0.139 0.153 0.029
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 39 38 45 41 41 38
normalized size 1 1.00 1.00 0.89 0.86 1.02 0.93 0.93 0.86
time (sec) N/A 0.035 0.006 0.058 1.335 0.684 0.164 0.149 0.030
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 39 38 45 44 41 38
normalized size 1 1.00 1.00 0.89 0.86 1.02 1.00 0.93 0.86
time (sec) N/A 0.034 0.011 0.056 1.351 0.646 0.247 0.163 0.028
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 97 80 79 79 92 82 79
normalized size 1 1.00 1.18 0.98 0.96 0.96 1.12 1.00 0.96
time (sec) N/A 0.059 0.004 0.049 1.352 0.535 0.089 0.163 0.040
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 97 80 79 79 94 82 79
normalized size 1 1.00 1.18 0.98 0.96 0.96 1.15 1.00 0.96
time (sec) N/A 0.051 0.003 0.046 1.292 0.597 0.086 0.150 0.038
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 92 77 76 76 88 79 76
normalized size 1 1.00 1.19 1.00 0.99 0.99 1.14 1.03 0.99
time (sec) N/A 0.061 0.004 0.043 1.404 0.496 0.087 0.178 0.038
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 88 75 74 74 88 78 74
normalized size 1 1.00 1.00 0.85 0.84 0.84 1.00 0.89 0.84
time (sec) N/A 0.052 0.010 0.040 1.371 0.662 0.190 0.151 0.042
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 74 73 81 82 77 73
normalized size 1 1.00 1.00 0.89 0.88 0.98 0.99 0.93 0.88
time (sec) N/A 0.063 0.014 0.058 1.297 0.592 0.248 0.150 0.042
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 84 75 74 81 87 78 74
normalized size 1 1.00 1.00 0.89 0.88 0.96 1.04 0.93 0.88
time (sec) N/A 0.064 0.009 0.052 1.311 0.710 0.308 0.165 0.038
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 139 116 115 115 138 119 115
normalized size 1 1.00 1.26 1.05 1.05 1.05 1.25 1.08 1.05
time (sec) N/A 0.079 0.005 0.043 1.332 0.800 0.091 0.157 0.078
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 139 116 115 115 138 119 115
normalized size 1 1.00 1.26 1.05 1.05 1.05 1.25 1.08 1.05
time (sec) N/A 0.069 0.005 0.040 1.371 0.548 0.089 0.169 0.074
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 134 113 112 112 134 116 112
normalized size 1 1.00 1.28 1.08 1.07 1.07 1.28 1.10 1.07
time (sec) N/A 0.097 0.037 0.052 1.329 0.527 0.139 0.149 0.073
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 127 110 109 109 131 114 109
normalized size 1 1.00 1.00 0.87 0.86 0.86 1.03 0.90 0.86
time (sec) N/A 0.074 0.012 0.048 1.286 0.725 0.294 0.152 0.079
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 125 110 109 117 128 114 109
normalized size 1 1.00 1.00 0.88 0.87 0.94 1.02 0.91 0.87
time (sec) N/A 0.092 0.016 0.050 1.350 0.592 0.289 0.181 0.081
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 126 111 110 117 131 115 110
normalized size 1 1.00 1.00 0.88 0.87 0.93 1.04 0.91 0.87
time (sec) N/A 0.086 0.010 0.046 1.325 0.558 0.362 0.153 4.896
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 181 152 151 151 184 156 151
normalized size 1 1.00 1.31 1.10 1.09 1.09 1.33 1.13 1.09
time (sec) N/A 0.099 0.006 0.040 1.310 0.512 0.107 0.165 5.073
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 181 152 151 151 185 156 151
normalized size 1 1.00 1.31 1.10 1.09 1.09 1.34 1.13 1.09
time (sec) N/A 0.093 0.005 0.041 1.336 0.441 0.113 0.158 0.131
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 173 148 147 147 178 152 147
normalized size 1 1.00 1.33 1.14 1.13 1.13 1.37 1.17 1.13
time (sec) N/A 0.145 0.005 0.040 1.314 0.545 0.102 0.167 0.152
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 166 145 144 144 175 150 144
normalized size 1 1.00 1.00 0.87 0.87 0.87 1.05 0.90 0.87
time (sec) N/A 0.109 0.010 0.044 1.301 0.722 0.336 0.153 0.141
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 162 145 144 153 168 150 144
normalized size 1 1.00 1.00 0.90 0.89 0.94 1.04 0.93 0.89
time (sec) N/A 0.133 0.012 0.052 1.311 0.562 0.379 0.159 4.994
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 166 147 146 153 175 152 146
normalized size 1 1.00 1.00 0.89 0.88 0.92 1.05 0.92 0.88
time (sec) N/A 0.125 0.010 0.051 1.334 0.727 0.443 0.166 4.993
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 191 231 190 4798 178 208 319
normalized size 1 1.00 0.93 1.13 0.93 23.40 0.87 1.01 1.56
time (sec) N/A 0.261 0.111 0.044 2.942 2.832 1.639 0.180 5.067
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 184 221 181 4261 150 195 340
normalized size 1 1.00 0.95 1.15 0.94 22.08 0.78 1.01 1.76
time (sec) N/A 0.248 0.096 0.049 2.936 2.760 1.490 0.211 5.133
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 200 209 173 4628 160 178 266
normalized size 1 1.00 1.09 1.14 0.95 25.29 0.87 0.97 1.45
time (sec) N/A 0.226 0.060 0.046 2.943 2.741 1.432 0.208 5.162
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 176 200 159 4671 160 163 274
normalized size 1 1.00 0.99 1.13 0.90 26.39 0.90 0.92 1.55
time (sec) N/A 0.132 0.105 0.046 3.013 2.612 1.423 0.180 0.257
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 176 207 176 4588 0 179 716
normalized size 1 1.00 0.96 1.12 0.96 24.93 0.00 0.97 3.89
time (sec) N/A 0.206 0.099 0.053 3.018 2.622 0.000 0.184 5.247
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 184 216 186 4524 0 201 723
normalized size 1 1.00 0.96 1.12 0.97 23.56 0.00 1.05 3.77
time (sec) N/A 0.214 0.254 0.049 2.981 2.763 0.000 0.230 5.056
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 192 225 177 4279 0 204 701
normalized size 1 1.00 0.95 1.11 0.87 21.08 0.00 1.00 3.45
time (sec) N/A 0.194 0.231 0.218 3.032 3.074 0.000 0.183 0.131
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 174 219 163 2077 110 180 180
normalized size 1 1.00 0.92 1.15 0.86 10.93 0.58 0.95 0.95
time (sec) N/A 0.166 0.203 0.053 3.033 2.633 2.333 0.204 0.220
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 186 228 185 2358 124 190 194
normalized size 1 1.00 0.93 1.14 0.92 11.79 0.62 0.95 0.97
time (sec) N/A 0.153 0.204 0.052 2.840 2.968 1.853 0.182 5.167
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 189 253 179 2118 116 184 175
normalized size 1 1.00 0.95 1.27 0.90 10.64 0.58 0.92 0.88
time (sec) N/A 0.132 0.282 0.045 3.025 2.595 1.385 0.183 0.251
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 199 274 203 5018 0 217 490
normalized size 1 1.00 0.90 1.23 0.91 22.60 0.00 0.98 2.21
time (sec) N/A 0.313 0.236 0.058 2.938 3.147 0.000 0.183 0.380
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 213 275 222 4976 0 237 488
normalized size 1 1.00 0.92 1.19 0.96 21.54 0.00 1.03 2.11
time (sec) N/A 0.343 0.336 0.061 3.099 3.149 0.000 0.180 5.468
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 221 276 220 4774 0 248 733
normalized size 1 1.00 0.91 1.14 0.91 19.73 0.00 1.02 3.03
time (sec) N/A 0.345 0.216 0.059 2.862 3.259 0.000 0.197 5.394
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 225 289 236 5373 0 269 537
normalized size 1 1.00 0.86 1.10 0.90 20.51 0.00 1.03 2.05
time (sec) N/A 0.404 0.298 0.058 3.066 3.181 0.000 0.181 5.484
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 198 255 203 2163 148 208 216
normalized size 1 1.00 0.92 1.19 0.94 10.06 0.69 0.97 1.00
time (sec) N/A 0.197 0.208 0.057 3.020 2.724 6.261 0.205 0.232
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 214 256 223 2519 170 215 232
normalized size 1 1.00 0.90 1.07 0.93 10.54 0.71 0.90 0.97
time (sec) N/A 0.204 0.404 0.054 3.055 2.728 3.991 0.197 0.225
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 213 308 219 2251 163 210 212
normalized size 1 1.00 0.95 1.37 0.97 10.00 0.72 0.93 0.94
time (sec) N/A 0.188 0.375 0.049 2.992 2.669 2.277 0.213 0.262
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 229 331 246 5229 0 253 540
normalized size 1 1.00 0.89 1.29 0.96 20.35 0.00 0.98 2.10
time (sec) N/A 0.414 0.206 0.073 3.004 2.527 0.000 0.244 5.440
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 248 334 266 5112 0 273 793
normalized size 1 1.00 0.93 1.25 1.00 19.15 0.00 1.02 2.97
time (sec) N/A 0.462 0.330 0.061 3.094 3.329 0.000 0.207 5.460
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 253 337 265 4911 0 282 778
normalized size 1 1.00 0.92 1.22 0.96 17.79 0.00 1.02 2.82
time (sec) N/A 0.500 0.334 0.065 3.106 3.060 0.000 0.193 5.358
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 255 351 283 5550 0 305 870
normalized size 1 1.00 0.86 1.18 0.95 18.62 0.00 1.02 2.92
time (sec) N/A 0.589 0.460 0.063 3.027 3.660 0.000 0.259 0.465
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 230 275 248 2364 201 242 253
normalized size 1 1.00 0.93 1.11 1.00 9.53 0.81 0.98 1.02
time (sec) N/A 0.242 0.288 0.056 3.006 3.581 17.943 0.212 0.267
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 241 278 260 2646 214 244 265
normalized size 1 1.00 0.89 1.03 0.96 9.80 0.79 0.90 0.98
time (sec) N/A 0.254 0.427 0.055 3.029 3.269 8.787 0.238 0.239
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 239 360 254 2344 202 234 247
normalized size 1 1.00 0.96 1.44 1.02 9.38 0.81 0.94 0.99
time (sec) N/A 0.222 0.279 0.055 2.991 2.674 4.470 0.205 0.279
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 259 394 293 5370 0 290 871
normalized size 1 1.00 0.89 1.35 1.01 18.45 0.00 1.00 2.99
time (sec) N/A 0.517 0.310 0.063 3.037 3.528 0.000 0.238 5.402
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 279 397 313 5250 0 310 840
normalized size 1 1.00 0.93 1.32 1.04 17.44 0.00 1.03 2.79
time (sec) N/A 0.601 0.313 0.067 2.995 3.508 0.000 0.184 5.434
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 284 400 312 5049 0 320 825
normalized size 1 1.00 0.92 1.29 1.01 16.29 0.00 1.03 2.66
time (sec) N/A 0.656 0.315 0.067 3.104 2.962 0.000 0.185 5.375
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 284 415 330 5670 0 333 918
normalized size 1 1.00 0.84 1.22 0.97 16.68 0.00 0.98 2.70
time (sec) N/A 0.773 0.602 0.066 3.081 3.391 0.000 0.197 0.525
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 57 29 26 26 54 27 26
normalized size 1 1.00 1.97 1.00 0.90 0.90 1.86 0.93 0.90
time (sec) N/A 0.058 0.019 0.052 2.892 0.583 0.179 0.155 4.970
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 57 29 26 26 54 27 26
normalized size 1 1.00 1.97 1.00 0.90 0.90 1.86 0.93 0.90
time (sec) N/A 0.035 0.007 0.052 2.967 0.746 0.168 0.154 0.027
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 58 29 28 28 54 29 27
normalized size 1 1.00 1.87 0.94 0.90 0.90 1.74 0.94 0.87
time (sec) N/A 0.056 0.015 0.049 2.923 0.595 0.173 0.154 4.946
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 58 29 28 28 54 29 27
normalized size 1 1.00 1.87 0.94 0.90 0.90 1.74 0.94 0.87
time (sec) N/A 0.037 0.007 0.058 2.838 0.601 0.169 0.151 0.030
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 146 87 51 52 100 174 154
normalized size 1 1.00 2.92 1.74 1.02 1.04 2.00 3.48 3.08
time (sec) N/A 0.087 0.044 0.049 3.068 0.573 0.322 0.480 5.223
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 149 135 166 53 110 165 156
normalized size 1 1.00 2.81 2.55 3.13 1.00 2.08 3.11 2.94
time (sec) N/A 0.093 0.084 0.052 3.021 0.617 0.349 0.205 5.250
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B A C B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 148 132 167 56 109 97 155
normalized size 1 1.00 2.74 2.44 3.09 1.04 2.02 1.80 2.87
time (sec) N/A 0.077 0.051 0.056 2.994 0.541 0.319 0.190 5.224
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A A A C A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 147 90 52 53 102 90 155
normalized size 1 1.00 2.77 1.70 0.98 1.00 1.92 1.70 2.92
time (sec) N/A 0.076 0.063 0.051 3.018 0.692 0.372 0.196 5.234
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 80 79 85 90 87 82
normalized size 1 1.00 1.00 0.82 0.81 0.88 0.93 0.90 0.85
time (sec) N/A 0.121 0.043 0.046 1.353 0.548 0.086 0.155 0.051
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 80 79 85 90 87 82
normalized size 1 1.00 1.00 0.82 0.81 0.88 0.93 0.90 0.85
time (sec) N/A 0.101 0.036 0.048 1.346 0.403 0.087 0.161 0.042
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 80 79 85 90 87 82
normalized size 1 1.00 1.00 0.82 0.81 0.88 0.93 0.90 0.85
time (sec) N/A 0.091 0.032 0.046 1.337 0.523 0.085 0.164 0.044
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 80 79 85 90 87 82
normalized size 1 1.00 1.00 0.82 0.81 0.88 0.93 0.90 0.85
time (sec) N/A 0.080 0.027 0.046 1.374 0.705 0.084 0.147 0.043
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 92 77 76 82 87 84 79
normalized size 1 1.00 1.00 0.84 0.83 0.89 0.95 0.91 0.86
time (sec) N/A 0.073 0.015 0.040 1.405 0.520 0.084 0.148 0.041
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 88 81 74 74 85 83 77
normalized size 1 1.00 1.00 0.92 0.84 0.84 0.97 0.94 0.88
time (sec) N/A 0.058 0.065 0.049 1.344 0.517 0.222 0.152 0.047
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 86 81 74 81 82 83 77
normalized size 1 1.00 1.00 0.94 0.86 0.94 0.95 0.97 0.90
time (sec) N/A 0.066 0.073 0.051 1.352 0.521 0.235 0.163 0.048
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 78 78 74 81 83 80 76
normalized size 1 1.00 0.91 0.91 0.86 0.94 0.97 0.93 0.88
time (sec) N/A 0.072 0.072 0.051 1.342 0.592 0.306 0.162 0.043
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 76 76 75 81 83 79 75
normalized size 1 1.00 0.88 0.88 0.87 0.94 0.97 0.92 0.87
time (sec) N/A 0.071 0.069 0.048 1.363 0.936 0.669 0.169 0.041
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 77 76 75 81 83 77 74
normalized size 1 1.00 0.90 0.88 0.87 0.94 0.97 0.90 0.86
time (sec) N/A 0.073 0.076 0.051 1.341 0.422 2.569 0.152 4.976
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 163 152 151 157 167 160 151
normalized size 1 1.00 1.00 0.93 0.93 0.96 1.02 0.98 0.93
time (sec) N/A 0.210 0.050 0.043 1.374 0.362 0.101 0.154 0.102
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 163 152 151 157 167 160 151
normalized size 1 1.00 1.00 0.93 0.93 0.96 1.02 0.98 0.93
time (sec) N/A 0.159 0.032 0.042 1.349 0.354 0.105 0.153 0.088
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 150 152 151 157 167 160 151
normalized size 1 1.00 0.95 0.96 0.96 0.99 1.06 1.01 0.96
time (sec) N/A 0.126 0.082 0.042 1.376 0.363 0.104 0.182 0.091
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 163 152 151 157 167 160 151
normalized size 1 1.00 1.03 0.96 0.96 0.99 1.06 1.01 0.96
time (sec) N/A 0.129 0.026 0.037 1.277 0.363 0.104 0.188 0.091
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 125 149 148 154 163 157 148
normalized size 1 1.00 0.82 0.97 0.97 1.01 1.07 1.03 0.97
time (sec) N/A 0.127 0.087 0.043 1.318 0.397 0.103 0.164 0.092
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 154 153 146 146 162 156 146
normalized size 1 1.00 1.03 1.03 0.98 0.98 1.09 1.05 0.98
time (sec) N/A 0.106 0.046 0.045 1.314 0.400 0.341 0.151 0.096
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 152 152 146 153 156 155 145
normalized size 1 1.00 1.03 1.03 0.99 1.04 1.06 1.05 0.99
time (sec) N/A 0.128 0.070 0.052 1.398 0.425 0.360 0.152 0.098
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 127 150 146 153 158 153 145
normalized size 1 1.00 0.86 1.02 0.99 1.04 1.07 1.04 0.99
time (sec) N/A 0.128 0.095 0.050 1.347 0.436 0.446 0.153 5.008
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 123 149 147 153 158 153 145
normalized size 1 1.00 0.81 0.98 0.97 1.01 1.04 1.01 0.95
time (sec) N/A 0.118 0.101 0.049 1.322 0.439 0.880 0.172 0.076
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 125 149 147 153 156 152 145
normalized size 1 1.00 0.82 0.98 0.97 1.01 1.03 1.00 0.95
time (sec) N/A 0.117 0.115 0.054 1.366 0.462 3.235 0.170 0.066
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 223 224 217 229 246 233 205
normalized size 1 1.00 1.00 1.00 0.97 1.03 1.10 1.04 0.92
time (sec) N/A 0.293 0.062 0.037 1.373 0.418 0.124 0.152 0.174
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 223 224 217 229 246 233 205
normalized size 1 1.00 1.00 1.00 0.97 1.03 1.10 1.04 0.92
time (sec) N/A 0.228 0.055 0.045 1.375 0.393 0.118 0.170 5.165
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 223 224 217 229 246 233 205
normalized size 1 1.00 1.05 1.06 1.02 1.08 1.16 1.10 0.97
time (sec) N/A 0.179 0.063 0.048 1.356 0.371 0.125 0.176 0.162
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 223 224 217 229 246 233 205
normalized size 1 1.00 1.05 1.06 1.02 1.08 1.16 1.10 0.97
time (sec) N/A 0.177 0.037 0.039 1.345 0.371 0.114 0.166 0.157
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 170 221 214 226 243 230 202
normalized size 1 1.00 0.82 1.07 1.03 1.09 1.17 1.11 0.98
time (sec) N/A 0.177 0.109 0.042 1.338 0.366 0.121 0.152 0.157
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 214 224 212 212 240 228 199
normalized size 1 1.00 1.07 1.12 1.06 1.06 1.20 1.14 1.00
time (sec) N/A 0.146 0.135 0.047 1.424 0.418 0.541 0.159 5.113
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 172 224 212 219 236 228 199
normalized size 1 1.00 0.87 1.13 1.07 1.11 1.19 1.15 1.01
time (sec) N/A 0.182 0.208 0.052 1.292 0.440 0.511 0.155 5.045
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 174 222 212 219 238 226 199
normalized size 1 1.00 0.88 1.12 1.07 1.11 1.20 1.14 1.01
time (sec) N/A 0.197 0.148 0.058 1.383 0.472 0.593 0.158 0.137
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 172 220 212 219 236 225 199
normalized size 1 1.00 0.82 1.05 1.01 1.05 1.13 1.08 0.95
time (sec) N/A 0.180 0.146 0.050 1.360 0.448 1.043 0.185 0.122
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 170 220 212 219 235 224 199
normalized size 1 1.00 0.81 1.05 1.01 1.05 1.12 1.07 0.95
time (sec) N/A 0.177 0.160 0.046 1.394 0.435 3.137 0.155 5.027
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 334 533 378 0 881 380 1271
normalized size 1 1.00 1.01 1.61 1.14 0.00 2.66 1.15 3.84
time (sec) N/A 1.070 0.558 0.049 2.978 0.000 60.517 0.200 5.086
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 299 505 332 0 845 353 1236
normalized size 1 1.00 0.96 1.61 1.06 0.00 2.70 1.13 3.95
time (sec) N/A 0.988 0.292 0.049 2.896 0.000 73.527 0.184 4.992
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 290 483 313 0 790 333 1170
normalized size 1 1.00 0.99 1.64 1.06 0.00 2.69 1.13 3.98
time (sec) N/A 0.976 0.313 0.047 2.997 0.000 88.696 0.244 5.023
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 272 455 300 0 811 295 1161
normalized size 1 1.00 0.99 1.65 1.09 0.00 2.95 1.07 4.22
time (sec) N/A 0.921 0.480 0.044 3.029 0.000 63.001 0.284 4.989
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 257 254 429 266 0 804 272 1150
normalized size 1 0.99 0.98 1.66 1.03 0.00 3.10 1.05 4.44
time (sec) N/A 0.373 0.388 0.049 3.037 0.000 59.388 0.190 5.033
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 256 258 426 290 0 0 281 1731
normalized size 1 0.99 1.00 1.65 1.12 0.00 0.00 1.09 6.71
time (sec) N/A 0.471 0.314 0.051 3.019 0.000 0.000 0.189 5.097
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 257 423 290 0 0 277 1802
normalized size 1 1.00 1.02 1.67 1.15 0.00 0.00 1.09 7.12
time (sec) N/A 0.454 0.321 0.056 3.025 0.000 0.000 0.187 5.087
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 258 257 423 271 0 0 269 6948
normalized size 1 0.99 0.99 1.63 1.04 0.00 0.00 1.03 26.72
time (sec) N/A 0.380 0.464 0.050 2.996 0.000 0.000 0.275 5.205
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 274 264 442 302 0 0 291 1842
normalized size 1 0.99 0.96 1.60 1.09 0.00 0.00 1.05 6.67
time (sec) N/A 0.436 0.547 0.056 3.079 0.000 0.000 0.226 5.870
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 334 562 364 0 0 357 1241
normalized size 1 1.00 0.99 1.67 1.08 0.00 0.00 1.06 3.68
time (sec) N/A 0.717 0.574 0.060 3.054 0.000 0.000 0.199 5.109
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 311 311 294 533 329 0 0 330 1229
normalized size 1 1.00 0.95 1.71 1.06 0.00 0.00 1.06 3.95
time (sec) N/A 0.640 0.222 0.058 3.136 0.000 0.000 0.214 0.152
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 288 280 506 283 12153 0 307 816
normalized size 1 0.99 0.97 1.74 0.98 41.91 0.00 1.06 2.81
time (sec) N/A 0.498 0.251 0.056 3.027 4.787 0.000 0.190 0.137
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 289 285 502 311 12617 0 318 827
normalized size 1 1.00 0.99 1.74 1.08 43.66 0.00 1.10 2.86
time (sec) N/A 0.505 0.260 0.050 2.963 7.504 0.000 0.199 5.390
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 268 462 292 12636 0 302 835
normalized size 1 1.00 0.97 1.67 1.06 45.78 0.00 1.09 3.03
time (sec) N/A 0.370 0.209 0.048 2.953 3.636 0.000 0.194 5.540
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 287 269 507 302 12541 0 319 1660
normalized size 1 0.99 0.93 1.75 1.04 43.39 0.00 1.10 5.74
time (sec) N/A 0.559 0.223 0.061 3.045 55.188 0.000 0.203 5.601
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 285 517 329 12556 0 328 1684
normalized size 1 1.00 0.95 1.72 1.09 41.71 0.00 1.09 5.59
time (sec) N/A 0.593 0.402 0.061 3.135 59.486 0.000 0.201 5.768
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 306 304 292 527 316 12231 0 336 1632
normalized size 1 0.99 0.95 1.72 1.03 39.97 0.00 1.10 5.33
time (sec) N/A 0.577 0.539 0.066 3.063 43.398 0.000 0.191 5.712
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 338 336 303 561 365 0 0 363 1924
normalized size 1 0.99 0.90 1.66 1.08 0.00 0.00 1.07 5.69
time (sec) N/A 0.727 0.622 0.062 3.079 0.000 0.000 0.229 5.958
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 342 619 391 12967 0 385 916
normalized size 1 1.00 0.99 1.79 1.13 37.59 0.00 1.12 2.66
time (sec) N/A 0.891 0.376 0.064 3.129 7.813 0.000 0.207 0.579
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 315 515 366 12939 0 363 908
normalized size 1 1.00 0.97 1.58 1.13 39.81 0.00 1.12 2.79
time (sec) N/A 0.642 0.338 0.060 3.119 6.175 0.000 0.777 5.659
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 287 490 308 6926 0 320 627
normalized size 1 1.00 0.97 1.65 1.04 23.32 0.00 1.08 2.11
time (sec) N/A 0.430 0.302 0.057 3.051 4.324 0.000 0.230 5.690
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 297 498 344 7190 0 340 640
normalized size 1 1.00 0.92 1.54 1.07 22.26 0.00 1.05 1.98
time (sec) N/A 0.482 0.358 0.056 3.067 5.634 0.000 0.207 5.365
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 295 506 327 6984 0 330 630
normalized size 1 1.00 0.94 1.62 1.04 22.31 0.00 1.05 2.01
time (sec) N/A 0.429 0.282 0.057 3.107 4.870 0.000 0.218 0.432
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 347 345 311 618 368 12815 0 376 1716
normalized size 1 0.99 0.90 1.78 1.06 36.93 0.00 1.08 4.95
time (sec) N/A 0.723 0.349 0.068 3.112 55.836 0.000 0.265 5.705
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 362 362 336 622 400 12951 0 390 1747
normalized size 1 1.00 0.93 1.72 1.10 35.78 0.00 1.08 4.83
time (sec) N/A 0.830 0.779 0.064 3.074 54.028 0.000 0.220 5.747
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A C F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 357 337 626 390 12435 0 399 1697
normalized size 1 0.99 0.94 1.74 1.08 34.54 0.00 1.11 4.71
time (sec) N/A 0.814 0.713 0.066 3.102 37.172 0.000 0.226 5.659
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 395 392 352 680 444 0 0 431 1994
normalized size 1 0.99 0.89 1.72 1.12 0.00 0.00 1.09 5.05
time (sec) N/A 1.006 0.789 0.070 3.089 0.000 0.000 0.203 6.321
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 583 583 132 793 0 0 129 0 -1
normalized size 1 1.00 0.23 1.36 0.00 0.00 0.22 0.00 -0.00
time (sec) N/A 0.733 0.209 0.079 0.000 0.431 3.917 0.000 0.000
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 560 560 121 773 0 0 107 0 -1
normalized size 1 1.00 0.22 1.38 0.00 0.00 0.19 0.00 -0.00
time (sec) N/A 0.484 0.167 0.056 0.000 0.456 3.665 0.000 0.000
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 537 537 114 753 0 0 107 0 -1
normalized size 1 1.00 0.21 1.40 0.00 0.00 0.20 0.00 -0.00
time (sec) N/A 0.323 0.073 0.049 0.000 0.494 3.516 0.000 0.000
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 509 509 107 735 0 0 105 0 -1
normalized size 1 1.00 0.21 1.44 0.00 0.00 0.21 0.00 -0.00
time (sec) N/A 0.173 0.050 0.051 0.000 0.440 2.530 0.000 0.000
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 518 518 128 740 0 0 105 0 -1
normalized size 1 1.00 0.25 1.43 0.00 0.00 0.20 0.00 -0.00
time (sec) N/A 0.205 0.202 0.046 0.000 0.667 4.103 0.000 0.000
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 547 547 126 759 0 0 107 0 121
normalized size 1 1.00 0.23 1.39 0.00 0.00 0.20 0.00 0.22
time (sec) N/A 0.343 0.141 0.060 0.000 0.513 3.244 0.000 5.957
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 569 569 131 778 0 0 112 0 -1
normalized size 1 1.00 0.23 1.37 0.00 0.00 0.20 0.00 -0.00
time (sec) N/A 0.464 0.218 0.059 0.000 0.480 3.434 0.000 0.000
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 594 594 134 836 0 0 129 0 -1
normalized size 1 1.00 0.23 1.41 0.00 0.00 0.22 0.00 -0.00
time (sec) N/A 0.641 0.128 0.086 0.000 0.467 20.586 0.000 0.000
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 574 574 127 817 0 0 129 0 -1
normalized size 1 1.00 0.22 1.42 0.00 0.00 0.22 0.00 -0.00
time (sec) N/A 0.469 0.135 0.053 0.000 0.477 15.272 0.000 0.000
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 542 542 118 800 0 0 129 0 -1
normalized size 1 1.00 0.22 1.48 0.00 0.00 0.24 0.00 -0.00
time (sec) N/A 0.327 0.117 0.054 0.000 0.458 12.497 0.000 0.000
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 107 779 0 0 109 0 -1
normalized size 1 1.00 0.20 1.49 0.00 0.00 0.21 0.00 -0.00
time (sec) N/A 0.262 0.103 0.059 0.000 0.445 11.432 0.000 0.000
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 561 561 108 782 0 0 109 0 -1
normalized size 1 1.00 0.19 1.39 0.00 0.00 0.19 0.00 -0.00
time (sec) N/A 0.321 0.076 0.130 0.000 0.452 11.085 0.000 0.000
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 532 532 109 785 0 0 107 0 -1
normalized size 1 1.00 0.20 1.48 0.00 0.00 0.20 0.00 -0.00
time (sec) N/A 0.246 0.076 0.052 0.000 0.431 10.859 0.000 0.000
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 579 579 119 810 0 0 265 0 -1
normalized size 1 1.00 0.21 1.40 0.00 0.00 0.46 0.00 -0.00
time (sec) N/A 0.400 0.117 0.049 0.000 0.511 16.573 0.000 0.000
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 607 607 121 825 0 0 267 0 136
normalized size 1 1.00 0.20 1.36 0.00 0.00 0.44 0.00 0.22
time (sec) N/A 0.560 0.113 0.056 0.000 0.480 18.304 0.000 5.804
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 733 733 172 1674 0 0 238 0 -1
normalized size 1 1.00 0.23 2.28 0.00 0.00 0.32 0.00 -0.00
time (sec) N/A 1.910 0.465 0.090 0.000 0.455 5.835 0.000 0.000
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 681 681 158 1197 0 0 223 0 -1
normalized size 1 1.00 0.23 1.76 0.00 0.00 0.33 0.00 -0.00
time (sec) N/A 1.422 0.297 0.058 0.000 0.471 5.689 0.000 0.000
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 667 667 143 1311 0 0 223 0 -1
normalized size 1 1.00 0.21 1.97 0.00 0.00 0.33 0.00 -0.00
time (sec) N/A 1.047 0.357 0.053 0.000 0.468 5.387 0.000 0.000
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 639 639 135 1557 0 0 194 0 -1
normalized size 1 1.00 0.21 2.44 0.00 0.00 0.30 0.00 -0.00
time (sec) N/A 0.719 0.192 0.053 0.000 0.496 5.125 0.000 0.000
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 620 620 185 1118 0 0 235 0 -1
normalized size 1 1.00 0.30 1.80 0.00 0.00 0.38 0.00 -0.00
time (sec) N/A 0.547 0.433 0.056 0.000 0.692 10.854 0.000 0.000
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 638 638 211 1248 0 0 236 0 -1
normalized size 1 1.00 0.33 1.96 0.00 0.00 0.37 0.00 -0.00
time (sec) N/A 0.650 0.295 0.062 0.000 0.686 6.766 0.000 0.000
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 640 640 218 1529 0 0 255 0 -1
normalized size 1 1.00 0.34 2.39 0.00 0.00 0.40 0.00 -0.00
time (sec) N/A 0.765 0.501 0.060 0.000 0.717 7.053 0.000 0.000
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 637 637 254 1114 0 0 265 0 -1
normalized size 1 1.00 0.40 1.75 0.00 0.00 0.42 0.00 -0.00
time (sec) N/A 0.844 0.436 0.061 0.000 0.926 8.089 0.000 0.000
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 694 694 253 1286 0 0 274 0 -1
normalized size 1 1.00 0.36 1.85 0.00 0.00 0.39 0.00 -0.00
time (sec) N/A 1.084 0.464 0.074 0.000 0.957 8.270 0.000 0.000
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 652 652 180 1571 0 0 240 0 -1
normalized size 1 1.00 0.28 2.41 0.00 0.00 0.37 0.00 -0.00
time (sec) N/A 0.787 0.347 0.059 0.000 0.703 7.541 0.000 0.000
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 659 659 211 1180 0 0 304 0 -1
normalized size 1 1.00 0.32 1.79 0.00 0.00 0.46 0.00 -0.00
time (sec) N/A 0.980 0.533 0.064 0.000 0.575 10.709 0.000 0.000
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 711 711 213 1376 0 0 308 0 -1
normalized size 1 1.00 0.30 1.94 0.00 0.00 0.43 0.00 -0.00
time (sec) N/A 1.123 0.517 0.063 0.000 0.545 11.602 0.000 0.000
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 743 743 192 1679 0 0 304 0 -1
normalized size 1 1.00 0.26 2.26 0.00 0.00 0.41 0.00 -0.00
time (sec) N/A 1.331 0.250 0.059 0.000 0.486 11.536 0.000 0.000
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 791 791 179 1764 0 0 512 0 -1
normalized size 1 1.00 0.23 2.23 0.00 0.00 0.65 0.00 -0.00
time (sec) N/A 2.111 0.654 0.084 0.000 0.445 13.013 0.000 0.000
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 742 742 162 1269 0 0 525 0 -1
normalized size 1 1.00 0.22 1.71 0.00 0.00 0.71 0.00 -0.00
time (sec) N/A 1.552 0.410 0.060 0.000 0.482 11.686 0.000 0.000
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 723 723 148 1383 0 0 525 0 -1
normalized size 1 1.00 0.20 1.91 0.00 0.00 0.73 0.00 -0.00
time (sec) N/A 1.239 0.366 0.054 0.000 0.652 10.783 0.000 0.000
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 694 694 139 1629 0 0 444 0 -1
normalized size 1 1.00 0.20 2.35 0.00 0.00 0.64 0.00 -0.00
time (sec) N/A 0.899 0.263 0.060 0.000 0.459 10.134 0.000 0.000
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 676 676 215 1188 0 0 473 0 -1
normalized size 1 1.00 0.32 1.76 0.00 0.00 0.70 0.00 -0.00
time (sec) N/A 0.707 0.584 0.055 0.000 0.759 23.744 0.000 0.000
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 692 692 224 1317 0 0 474 0 -1
normalized size 1 1.00 0.32 1.90 0.00 0.00 0.68 0.00 -0.00
time (sec) N/A 0.791 0.453 0.057 0.000 0.719 13.432 0.000 0.000
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 694 694 232 1613 0 0 462 0 -1
normalized size 1 1.00 0.33 2.32 0.00 0.00 0.67 0.00 -0.00
time (sec) N/A 0.888 0.428 0.059 0.000 0.742 12.847 0.000 0.000
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 692 692 243 1193 0 0 484 0 -1
normalized size 1 1.00 0.35 1.72 0.00 0.00 0.70 0.00 -0.00
time (sec) N/A 0.957 0.797 0.057 0.000 0.902 14.266 0.000 0.000
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 741 741 246 1342 0 0 495 0 -1
normalized size 1 1.00 0.33 1.81 0.00 0.00 0.67 0.00 -0.00
time (sec) N/A 1.240 0.763 0.060 0.000 0.926 14.641 0.000 0.000
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 689 689 191 1606 0 0 476 0 -1
normalized size 1 1.00 0.28 2.33 0.00 0.00 0.69 0.00 -0.00
time (sec) N/A 0.921 0.276 0.063 0.000 0.821 14.430 0.000 0.000
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 692 692 240 1196 0 0 524 0 -1
normalized size 1 1.00 0.35 1.73 0.00 0.00 0.76 0.00 -0.00
time (sec) N/A 1.004 0.732 0.067 0.000 0.990 17.916 0.000 0.000
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 746 746 240 1375 0 0 536 0 -1
normalized size 1 1.00 0.32 1.84 0.00 0.00 0.72 0.00 -0.00
time (sec) N/A 1.284 1.073 0.060 0.000 0.975 18.715 0.000 0.000
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 705 705 202 1663 0 0 527 0 -1
normalized size 1 1.00 0.29 2.36 0.00 0.00 0.75 0.00 -0.00
time (sec) N/A 1.008 0.603 0.059 0.000 0.739 17.277 0.000 0.000
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 714 714 226 1273 0 0 573 0 -1
normalized size 1 1.00 0.32 1.78 0.00 0.00 0.80 0.00 -0.00
time (sec) N/A 1.123 0.818 0.095 0.000 0.533 25.788 0.000 0.000
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 764 764 227 1470 0 0 576 0 -1
normalized size 1 1.00 0.30 1.92 0.00 0.00 0.75 0.00 -0.00
time (sec) N/A 1.330 0.721 0.060 0.000 0.585 26.656 0.000 0.000
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 796 796 194 1773 0 0 541 0 -1
normalized size 1 1.00 0.24 2.23 0.00 0.00 0.68 0.00 -0.00
time (sec) N/A 1.534 0.473 0.099 0.000 0.490 24.052 0.000 0.000
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 120 114 0 0 0 112 0 -1
normalized size 1 1.18 1.12 0.00 0.00 0.00 1.10 0.00 -0.01
time (sec) N/A 0.076 0.070 0.459 0.000 0.431 59.326 0.000 0.000
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 125 116 0 0 0 114 0 -1
normalized size 1 1.17 1.08 0.00 0.00 0.00 1.07 0.00 -0.01
time (sec) N/A 0.091 0.097 0.473 0.000 0.435 88.353 0.000 0.000
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 125 116 0 0 0 114 0 -1
normalized size 1 1.17 1.08 0.00 0.00 0.00 1.07 0.00 -0.01
time (sec) N/A 0.106 0.116 0.476 0.000 0.437 124.185 0.000 0.000
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 68 55 54 54 63 56 54
normalized size 1 1.00 1.00 0.81 0.79 0.79 0.93 0.82 0.79
time (sec) N/A 0.044 0.006 0.043 1.319 0.366 0.078 0.151 0.035
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 58 57 57 66 59 57
normalized size 1 1.00 1.00 0.79 0.78 0.78 0.90 0.81 0.78
time (sec) N/A 0.064 0.004 0.045 1.334 0.385 0.073 0.156 0.031
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 124 103 102 102 121 105 102
normalized size 1 1.00 1.14 0.94 0.94 0.94 1.11 0.96 0.94
time (sec) N/A 0.074 0.004 0.043 1.356 0.359 0.088 0.160 0.080
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 129 106 105 105 124 108 105
normalized size 1 1.00 1.13 0.93 0.92 0.92 1.09 0.95 0.92
time (sec) N/A 0.084 0.005 0.043 1.329 0.344 0.089 0.149 0.072
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 180 151 150 150 180 154 150
normalized size 1 1.00 1.19 1.00 0.99 0.99 1.19 1.02 0.99
time (sec) N/A 0.108 0.005 0.043 1.369 0.389 0.096 0.157 0.164
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 185 154 153 153 184 157 153
normalized size 1 1.00 1.19 0.99 0.98 0.98 1.18 1.01 0.98
time (sec) N/A 0.113 0.018 0.043 1.382 0.353 0.099 0.164 0.161
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 236 199 198 198 241 203 198
normalized size 1 1.00 1.22 1.03 1.03 1.03 1.25 1.05 1.03
time (sec) N/A 0.156 0.007 0.043 1.330 0.367 0.103 0.173 5.080
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 241 202 201 201 245 206 201
normalized size 1 1.00 1.22 1.02 1.02 1.02 1.24 1.04 1.02
time (sec) N/A 0.150 0.007 0.043 1.371 0.390 0.110 0.193 0.359
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 214 177 174 0 0 280 1970
normalized size 1 1.00 1.61 1.33 1.31 0.00 0.00 2.11 14.81
time (sec) N/A 0.124 0.113 0.046 3.031 0.000 0.000 0.186 5.658
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 221 208 208 0 0 328 846
normalized size 1 1.00 1.36 1.28 1.28 0.00 0.00 2.02 5.22
time (sec) N/A 0.203 0.095 0.044 2.976 0.000 0.000 0.190 4.846
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 296 294 277 0 0 290 1952
normalized size 1 1.00 1.01 1.00 0.95 0.00 0.00 0.99 6.66
time (sec) N/A 0.222 0.231 0.052 3.030 0.000 0.000 0.184 0.927
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 321 321 311 325 305 0 0 308 838
normalized size 1 1.00 0.97 1.01 0.95 0.00 0.00 0.96 2.61
time (sec) N/A 0.334 0.239 0.053 3.015 0.000 0.000 0.185 4.854
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 315 362 305 0 517 316 478
normalized size 1 1.00 0.99 1.14 0.96 0.00 1.63 0.99 1.50
time (sec) N/A 0.270 0.406 0.049 3.058 0.000 22.319 0.184 0.360
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 294 334 294 0 510 303 559
normalized size 1 1.00 0.95 1.08 0.95 0.00 1.65 0.98 1.80
time (sec) N/A 0.274 0.383 0.054 3.022 0.000 44.229 0.215 5.097
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 347 432 355 0 578 354 832
normalized size 1 1.00 0.99 1.23 1.01 0.00 1.65 1.01 2.37
time (sec) N/A 0.318 0.439 0.052 3.019 0.000 108.467 0.192 5.199
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 329 373 343 0 0 338 521
normalized size 1 1.00 0.97 1.10 1.01 0.00 0.00 0.99 1.53
time (sec) N/A 0.328 0.391 0.060 3.084 0.000 0.000 0.294 0.396
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 379 400 402 0 0 391 879
normalized size 1 1.00 0.99 1.05 1.05 0.00 0.00 1.02 2.30
time (sec) N/A 0.406 0.442 0.063 3.088 0.000 0.000 0.329 5.255
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 366 403 396 0 0 380 888
normalized size 1 1.00 0.96 1.06 1.04 0.00 0.00 1.00 2.34
time (sec) N/A 0.402 0.459 0.065 3.125 0.000 0.000 0.185 0.482
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 418 202 390 0 0 252 0 -1
normalized size 1 1.00 0.48 0.93 0.00 0.00 0.60 0.00 -0.00
time (sec) N/A 0.381 0.727 0.207 0.000 0.510 8.541 0.000 0.000
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 215 380 0 0 212 0 -1
normalized size 1 1.00 0.55 0.96 0.00 0.00 0.54 0.00 -0.00
time (sec) N/A 0.334 0.659 0.189 0.000 0.488 7.506 0.000 0.000
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 182 361 0 0 212 0 -1
normalized size 1 1.00 0.49 0.98 0.00 0.00 0.57 0.00 -0.00
time (sec) N/A 0.298 0.781 0.169 0.000 0.514 7.089 0.000 0.000
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 211 337 0 0 158 0 -1
normalized size 1 1.00 0.60 0.95 0.00 0.00 0.45 0.00 -0.00
time (sec) N/A 0.273 0.205 0.165 0.000 0.488 6.529 0.000 0.000
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 171 313 0 0 156 0 -1
normalized size 1 1.00 0.52 0.95 0.00 0.00 0.47 0.00 -0.00
time (sec) N/A 0.194 0.139 0.180 0.000 0.473 5.971 0.000 0.000
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 208 339 0 0 204 0 -1
normalized size 1 1.00 0.60 0.98 0.00 0.00 0.59 0.00 -0.00
time (sec) N/A 0.255 0.387 0.197 0.000 0.737 10.125 0.000 0.000
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 208 339 0 0 206 0 -1
normalized size 1 1.00 0.61 0.99 0.00 0.00 0.60 0.00 -0.00
time (sec) N/A 0.263 0.427 0.201 0.000 0.704 6.997 0.000 0.000
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 204 360 0 0 230 0 -1
normalized size 1 1.00 0.60 1.05 0.00 0.00 0.67 0.00 -0.00
time (sec) N/A 0.262 0.259 0.178 0.000 0.750 6.410 0.000 0.000
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 357 205 362 0 0 235 0 -1
normalized size 1 1.00 0.57 1.01 0.00 0.00 0.66 0.00 -0.00
time (sec) N/A 0.295 0.331 0.197 0.000 0.717 6.622 0.000 0.000
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 329 175 385 0 0 211 0 -1
normalized size 1 1.00 0.53 1.17 0.00 0.00 0.64 0.00 -0.00
time (sec) N/A 0.281 0.272 0.196 0.000 0.732 6.783 0.000 0.000
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 179 404 0 0 216 0 -1
normalized size 1 1.00 0.50 1.12 0.00 0.00 0.60 0.00 -0.00
time (sec) N/A 0.324 0.263 0.198 0.000 0.710 7.057 0.000 0.000
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 352 145 361 0 0 189 0 -1
normalized size 1 1.00 0.41 1.03 0.00 0.00 0.54 0.00 -0.00
time (sec) N/A 0.316 0.267 0.190 0.000 0.502 7.042 0.000 0.000
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 145 385 0 0 192 0 -1
normalized size 1 1.00 0.39 1.03 0.00 0.00 0.51 0.00 -0.00
time (sec) N/A 0.362 0.265 0.192 0.000 0.489 6.927 0.000 0.000
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 146 408 0 0 246 0 -1
normalized size 1 1.00 0.36 1.02 0.00 0.00 0.62 0.00 -0.00
time (sec) N/A 0.386 0.177 0.183 0.000 0.495 9.616 0.000 0.000
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 425 425 148 429 0 0 246 0 -1
normalized size 1 1.00 0.35 1.01 0.00 0.00 0.58 0.00 -0.00
time (sec) N/A 0.433 0.182 0.210 0.000 0.480 10.707 0.000 0.000
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 476 476 225 462 0 0 462 0 -1
normalized size 1 1.00 0.47 0.97 0.00 0.00 0.97 0.00 -0.00
time (sec) N/A 0.440 0.942 0.202 0.000 0.501 22.074 0.000 0.000
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 452 452 238 434 0 0 398 0 -1
normalized size 1 1.00 0.53 0.96 0.00 0.00 0.88 0.00 -0.00
time (sec) N/A 0.408 0.772 0.186 0.000 0.477 17.953 0.000 0.000
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 427 427 205 413 0 0 398 0 -1
normalized size 1 1.00 0.48 0.97 0.00 0.00 0.93 0.00 -0.00
time (sec) N/A 0.353 0.935 0.207 0.000 0.481 17.741 0.000 0.000
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 409 409 196 392 0 0 396 0 -1
normalized size 1 1.00 0.48 0.96 0.00 0.00 0.97 0.00 -0.00
time (sec) N/A 0.324 0.978 0.166 0.000 0.493 13.228 0.000 0.000
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 175 368 0 0 394 0 -1
normalized size 1 1.00 0.46 0.96 0.00 0.00 1.03 0.00 -0.00
time (sec) N/A 0.255 0.560 0.180 0.000 0.489 12.310 0.000 0.000
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 403 403 224 411 0 0 405 0 -1
normalized size 1 1.00 0.56 1.02 0.00 0.00 1.00 0.00 -0.00
time (sec) N/A 0.353 0.571 0.182 0.000 0.746 31.319 0.000 0.000
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 404 404 222 411 0 0 406 0 -1
normalized size 1 1.00 0.55 1.02 0.00 0.00 1.00 0.00 -0.00
time (sec) N/A 0.348 0.566 0.207 0.000 0.748 14.146 0.000 0.000
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 194 409 0 0 377 0 -1
normalized size 1 1.00 0.48 1.01 0.00 0.00 0.93 0.00 -0.00
time (sec) N/A 0.343 0.402 0.212 0.000 0.711 11.480 0.000 0.000
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 408 408 194 408 0 0 381 0 -1
normalized size 1 1.00 0.48 1.00 0.00 0.00 0.93 0.00 -0.00
time (sec) N/A 0.336 0.390 0.215 0.000 0.800 11.341 0.000 0.000
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 163 409 0 0 379 0 -1
normalized size 1 1.00 0.42 1.06 0.00 0.00 0.98 0.00 -0.00
time (sec) N/A 0.347 0.247 0.185 0.000 0.742 13.191 0.000 0.000
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 165 409 0 0 386 0 -1
normalized size 1 1.00 0.43 1.06 0.00 0.00 1.00 0.00 -0.00
time (sec) N/A 0.349 0.235 0.211 0.000 0.789 13.155 0.000 0.000
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 392 392 163 408 0 0 406 0 -1
normalized size 1 1.00 0.42 1.04 0.00 0.00 1.04 0.00 -0.00
time (sec) N/A 0.342 0.220 0.209 0.000 0.750 12.308 0.000 0.000
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 164 411 0 0 415 0 -1
normalized size 1 1.00 0.40 1.00 0.00 0.00 1.01 0.00 -0.00
time (sec) N/A 0.394 0.246 0.220 0.000 0.748 13.003 0.000 0.000
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 174 416 0 0 444 0 -1
normalized size 1 1.00 0.46 1.10 0.00 0.00 1.18 0.00 -0.00
time (sec) N/A 0.371 0.316 0.206 0.000 0.792 18.590 0.000 0.000
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 405 405 174 437 0 0 449 0 -1
normalized size 1 1.00 0.43 1.08 0.00 0.00 1.11 0.00 -0.00
time (sec) N/A 0.425 0.354 0.213 0.000 0.777 21.885 0.000 0.000
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 171 417 0 0 398 0 -1
normalized size 1 1.00 0.43 1.05 0.00 0.00 1.00 0.00 -0.00
time (sec) N/A 0.420 0.351 0.190 0.000 0.495 19.190 0.000 0.000
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 424 424 172 441 0 0 401 0 -1
normalized size 1 1.00 0.41 1.04 0.00 0.00 0.95 0.00 -0.00
time (sec) N/A 0.462 0.425 0.219 0.000 0.479 22.521 0.000 0.000
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 449 149 462 0 0 403 0 -1
normalized size 1 1.00 0.33 1.03 0.00 0.00 0.90 0.00 -0.00
time (sec) N/A 0.490 0.208 0.203 0.000 0.504 31.881 0.000 0.000
Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 474 474 151 483 0 0 403 0 -1
normalized size 1 1.00 0.32 1.02 0.00 0.00 0.85 0.00 -0.00
time (sec) N/A 0.549 0.213 0.219 0.000 0.474 27.900 0.000 0.000
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 212 335 0 0 177 0 -1
normalized size 1 1.00 0.59 0.93 0.00 0.00 0.49 0.00 -0.00
time (sec) N/A 0.300 0.144 0.226 0.000 0.480 10.787 0.000 0.000
Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 212 325 0 0 156 0 -1
normalized size 1 1.00 0.63 0.97 0.00 0.00 0.46 0.00 -0.00
time (sec) N/A 0.265 0.162 0.166 0.000 0.477 10.299 0.000 0.000
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 193 248 0 0 156 0 -1
normalized size 1 1.00 0.63 0.81 0.00 0.00 0.51 0.00 -0.00
time (sec) N/A 0.222 0.183 0.189 0.000 0.526 10.862 0.000 0.000
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 160 229 0 0 129 0 -1
normalized size 1 1.00 0.54 0.77 0.00 0.00 0.43 0.00 -0.00
time (sec) N/A 0.198 0.104 0.168 0.000 0.464 8.228 0.000 0.000
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 150 208 0 0 128 0 -1
normalized size 1 1.00 0.54 0.75 0.00 0.00 0.46 0.00 -0.00
time (sec) N/A 0.142 0.105 0.175 0.000 0.469 6.145 0.000 0.000
Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 159 222 0 0 126 0 -1
normalized size 1 1.00 0.56 0.78 0.00 0.00 0.44 0.00 -0.00
time (sec) N/A 0.180 0.242 0.420 0.000 0.712 9.712 0.000 0.000
Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 309 309 157 299 0 0 128 0 -1
normalized size 1 1.00 0.51 0.97 0.00 0.00 0.41 0.00 -0.00
time (sec) N/A 0.224 0.252 0.204 0.000 0.700 6.572 0.000 0.000
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 300 300 148 293 0 0 126 0 118
normalized size 1 1.00 0.49 0.98 0.00 0.00 0.42 0.00 0.39
time (sec) N/A 0.216 0.152 0.180 0.000 0.514 6.333 0.000 5.849
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 149 316 0 0 131 0 -1
normalized size 1 1.00 0.46 0.98 0.00 0.00 0.41 0.00 -0.00
time (sec) N/A 0.258 0.173 0.179 0.000 0.490 6.795 0.000 0.000
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 147 335 0 0 158 0 -1
normalized size 1 1.00 0.42 0.97 0.00 0.00 0.46 0.00 -0.00
time (sec) N/A 0.281 0.156 0.211 0.000 0.516 8.547 0.000 0.000
Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 134 354 0 0 163 0 -1
normalized size 1 1.00 0.36 0.94 0.00 0.00 0.43 0.00 -0.00
time (sec) N/A 0.327 0.232 0.188 0.000 0.497 9.877 0.000 0.000
Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 365 220 378 0 0 202 0 -1
normalized size 1 1.00 0.60 1.04 0.00 0.00 0.55 0.00 -0.00
time (sec) N/A 0.523 0.190 0.193 0.000 0.475 51.872 0.000 0.000
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 176 358 0 0 172 0 -1
normalized size 1 1.00 0.51 1.04 0.00 0.00 0.50 0.00 -0.00
time (sec) N/A 0.367 0.167 0.191 0.000 0.571 43.257 0.000 0.000
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 314 166 340 0 0 172 0 -1
normalized size 1 1.00 0.53 1.08 0.00 0.00 0.55 0.00 -0.00
time (sec) N/A 0.268 0.158 0.168 0.000 0.499 26.108 0.000 0.000
Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 302 297 181 331 0 0 156 0 -1
normalized size 1 0.98 0.60 1.10 0.00 0.00 0.52 0.00 -0.00
time (sec) N/A 0.200 0.141 0.174 0.000 0.487 24.638 0.000 0.000
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 165 331 0 0 156 0 -1
normalized size 1 1.00 0.50 0.99 0.00 0.00 0.47 0.00 -0.00
time (sec) N/A 0.251 0.219 0.176 0.000 0.488 21.067 0.000 0.000
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 303 303 116 250 0 0 133 0 -1
normalized size 1 1.00 0.38 0.83 0.00 0.00 0.44 0.00 -0.00
time (sec) N/A 0.193 0.082 0.168 0.000 0.431 19.339 0.000 0.000
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 116 250 0 0 131 0 -1
normalized size 1 1.00 0.42 0.91 0.00 0.00 0.48 0.00 -0.00
time (sec) N/A 0.117 0.063 0.170 0.000 0.442 18.324 0.000 0.000
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 125 336 0 0 289 0 -1
normalized size 1 1.00 0.39 1.04 0.00 0.00 0.89 0.00 -0.00
time (sec) N/A 0.292 0.135 0.164 0.000 0.514 23.819 0.000 0.000
Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 344 344 123 355 0 0 291 0 133
normalized size 1 1.00 0.36 1.03 0.00 0.00 0.85 0.00 0.39
time (sec) N/A 0.383 0.126 0.191 0.000 0.490 28.559 0.000 5.945
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 367 367 140 363 0 0 316 0 147
normalized size 1 1.00 0.38 0.99 0.00 0.00 0.86 0.00 0.40
time (sec) N/A 0.478 0.127 0.190 0.000 0.526 25.303 0.000 6.076
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 136 383 0 0 321 0 -1
normalized size 1 1.00 0.35 0.99 0.00 0.00 0.83 0.00 -0.00
time (sec) N/A 0.606 0.138 0.186 0.000 0.467 33.726 0.000 0.000
Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 174 0 0 0 0 0 -1
normalized size 1 1.00 0.65 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.256 0.240 0.469 0.000 0.462 0.000 0.000 0.000
Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 170 147 0 0 0 141 0 -1
normalized size 1 1.19 1.03 0.00 0.00 0.00 0.99 0.00 -0.01
time (sec) N/A 0.131 0.125 0.469 0.000 0.436 49.566 0.000 0.000
Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 145 0 0 0 143 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.82 0.00 -0.01
time (sec) N/A 0.182 0.139 0.477 0.000 0.463 111.183 0.000 0.000
Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 6 6 5 7 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.62 0.88 0.75
time (sec) N/A 0.010 0.001 0.037 1.302 0.403 0.085 0.170 0.023
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 9 8 8 7 9 6
normalized size 1 1.00 1.00 0.90 0.80 0.80 0.70 0.90 0.60
time (sec) N/A 0.015 0.001 0.042 1.334 0.399 0.080 0.192 0.056
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 9 8 8 8 9 6
normalized size 1 1.00 1.00 0.90 0.80 0.80 0.80 0.90 0.60
time (sec) N/A 0.013 0.001 0.041 1.392 0.396 0.093 0.182 4.992
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 21 18 17 17 15 15 6
normalized size 1 1.00 2.10 1.80 1.70 1.70 1.50 1.50 0.60
time (sec) N/A 0.010 0.003 0.047 1.329 0.417 0.110 0.196 0.097
Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 17 16 16 24 16 16
normalized size 1 1.00 1.00 0.71 0.67 0.67 1.00 0.67 0.67
time (sec) N/A 0.024 0.008 0.045 2.928 0.394 0.147 0.188 0.030
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 39 38 38 46 39 49
normalized size 1 1.00 1.00 0.78 0.76 0.76 0.92 0.78 0.98
time (sec) N/A 0.049 0.020 0.051 2.887 0.410 0.212 0.202 0.131
Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 46 39 38 38 46 39 48
normalized size 1 1.00 0.92 0.78 0.76 0.76 0.92 0.78 0.96
time (sec) N/A 0.048 0.016 0.049 2.954 0.440 0.242 0.183 4.987
Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 56 47 46 46 56 48 52
normalized size 1 1.00 0.93 0.78 0.77 0.77 0.93 0.80 0.87
time (sec) N/A 0.051 0.014 0.048 2.944 0.443 0.226 0.188 5.010
Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 47 46 46 56 48 52
normalized size 1 1.00 0.87 0.78 0.77 0.77 0.93 0.80 0.87
time (sec) N/A 0.049 0.013 0.050 3.076 0.408 0.232 0.181 4.975
Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 39 38 38 48 35 46
normalized size 1 1.00 1.00 0.78 0.76 0.76 0.96 0.70 0.92
time (sec) N/A 0.026 0.007 0.049 2.926 0.455 0.156 0.173 0.086
Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 39 38 38 48 39 46
normalized size 1 1.00 1.00 0.78 0.76 0.76 0.96 0.78 0.92
time (sec) N/A 0.043 0.012 0.052 2.948 0.443 0.198 0.179 0.100
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 100 85 84 115 105 86 100
normalized size 1 1.00 0.91 0.77 0.76 1.05 0.95 0.78 0.91
time (sec) N/A 0.118 0.108 0.056 2.984 0.423 0.432 0.192 5.098
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 97 85 84 115 105 86 100
normalized size 1 1.00 0.88 0.77 0.76 1.05 0.95 0.78 0.91
time (sec) N/A 0.117 0.093 0.049 2.943 0.454 0.468 0.208 0.189
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 81 81 122 68 61 91 70 63 52
normalized size 1 1.00 1.51 0.84 0.75 1.12 0.86 0.78 0.64
time (sec) N/A 0.069 0.569 0.056 3.063 0.424 0.229 0.170 4.923
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 84 73 74 126 82 76 77
normalized size 1 1.00 0.91 0.79 0.80 1.37 0.89 0.83 0.84
time (sec) N/A 0.116 0.036 0.058 2.966 0.435 0.422 0.188 0.123
Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 119 115 105 256 124 111 120
normalized size 1 1.00 0.80 0.78 0.71 1.73 0.84 0.75 0.81
time (sec) N/A 0.172 0.085 0.067 2.908 0.443 0.651 0.203 0.190
Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 121 115 105 257 124 111 121
normalized size 1 1.00 0.83 0.79 0.72 1.76 0.85 0.76 0.83
time (sec) N/A 0.173 0.090 0.066 2.896 0.459 0.647 0.177 5.089
Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 111 111 95 187 116 106 110
normalized size 1 1.00 0.78 0.78 0.67 1.32 0.82 0.75 0.77
time (sec) N/A 0.148 0.072 0.060 2.983 0.426 0.639 0.180 5.080
Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 111 111 95 187 116 106 111
normalized size 1 1.00 0.78 0.78 0.67 1.32 0.82 0.75 0.78
time (sec) N/A 0.145 0.074 0.061 2.884 0.431 0.572 0.243 0.189
Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 103 102 87 131 110 89 102
normalized size 1 1.00 0.91 0.90 0.77 1.16 0.97 0.79 0.90
time (sec) N/A 0.082 0.068 0.062 2.936 0.421 0.529 0.174 0.172
Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 111 102 95 187 119 99 111
normalized size 1 1.00 0.85 0.78 0.73 1.43 0.91 0.76 0.85
time (sec) N/A 0.148 0.080 0.060 2.986 0.430 0.695 0.177 0.190
Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 91 76 75 75 102 69 91
normalized size 1 1.00 0.92 0.77 0.76 0.76 1.03 0.70 0.92
time (sec) N/A 0.063 0.037 0.050 2.988 0.403 0.395 0.192 5.096
Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 130 0 0 0 654 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 4.04 0.00 -0.01
time (sec) N/A 0.167 0.432 0.648 0.000 0.454 57.805 0.000 0.000
Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 108 130 118 305 1251 392 115
normalized size 1 1.00 1.29 1.55 1.40 3.63 14.89 4.67 1.37
time (sec) N/A 0.056 0.228 0.063 1.356 0.449 8.171 0.262 5.135
Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 120 87 78 160 552 196 76
normalized size 1 1.00 1.97 1.43 1.28 2.62 9.05 3.21 1.25
time (sec) N/A 0.040 0.152 0.063 1.397 0.436 4.269 0.219 5.058
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 42 45 39 56 163 65 38
normalized size 1 1.00 1.02 1.10 0.95 1.37 3.98 1.59 0.93
time (sec) N/A 0.023 0.133 0.056 1.293 0.457 2.027 0.222 5.056
Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 12 17 15 12 12
normalized size 1 1.00 1.00 1.08 1.00 1.42 1.25 1.00 1.00
time (sec) N/A 0.003 0.002 0.043 1.319 0.443 0.067 0.167 5.011
Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 0 0 0 65 0 43
normalized size 1 1.00 1.00 0.00 0.00 0.00 1.55 0.00 1.02
time (sec) N/A 0.030 0.066 0.780 0.000 0.466 17.153 0.000 5.326
Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 0 0 0 299 0 49
normalized size 1 1.00 1.00 0.00 0.00 0.00 6.80 0.00 1.11
time (sec) N/A 0.029 0.117 1.034 0.000 0.444 51.151 0.000 5.349
Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 63 0 0 0 0 0 59
normalized size 1 1.00 1.37 0.00 0.00 0.00 0.00 0.00 1.28
time (sec) N/A 0.030 0.115 0.707 0.000 0.420 0.000 0.000 5.414
Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F(-2) C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 206 0 0 0 274 0 -1
normalized size 1 1.00 0.68 0.00 0.00 0.00 0.90 0.00 -0.00
time (sec) N/A 0.232 0.561 0.695 0.000 0.000 55.356 0.000 0.000
Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 0 0 66 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.47 0.00 0.00 -0.02
time (sec) N/A 0.395 0.305 0.691 0.000 0.458 0.000 0.000 0.000
Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 273 273 178 0 0 0 0 0 -1
normalized size 1 1.00 0.65 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.185 0.318 0.740 0.000 0.444 0.000 0.000 0.000
Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 204 0 0 0 0 0 -1
normalized size 1 1.00 0.69 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.208 0.302 0.664 0.000 0.462 0.000 0.000 0.000
Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 147 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.124 0.393 0.651 0.000 0.456 0.000 0.000 0.000
Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 20 20 0 0 20
normalized size 1 1.00 1.00 0.88 0.83 0.83 0.00 0.00 0.83
time (sec) N/A 0.053 0.176 0.052 2.126 0.415 0.000 0.000 5.587
Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F(-1) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 103 103 93 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 0.203 180.000 0.000 0.000 0.000 0.000 0.000
Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 0 0 61 0 228 95
normalized size 1 1.00 1.00 0.00 0.00 2.18 0.00 8.14 3.39
time (sec) N/A 0.101 0.346 1.082 0.000 0.949 0.000 0.422 5.197
Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 46 138 77 119 0 237 124
normalized size 1 1.00 1.02 3.07 1.71 2.64 0.00 5.27 2.76
time (sec) N/A 0.157 0.410 0.575 3.039 1.086 0.000 0.426 5.367
Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 52 59 54 0 115 76
normalized size 1 1.00 1.00 1.68 1.90 1.74 0.00 3.71 2.45
time (sec) N/A 0.205 0.601 0.171 2.672 0.856 0.000 0.556 5.298
Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 41 136 92 88 0 155 106
normalized size 1 1.00 0.91 3.02 2.04 1.96 0.00 3.44 2.36
time (sec) N/A 0.553 0.888 0.502 3.035 0.990 0.000 0.809 5.640

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 [124] had the largest ratio of [.6923]

Table 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 2 1 1.00 20 0.050
2 A 2 1 1.00 22 0.045
3 A 2 1 1.00 22 0.045
4 A 2 1 1.00 25 0.040
5 A 2 1 1.00 27 0.037
6 A 2 1 1.00 27 0.037
7 A 6 6 1.00 15 0.400
8 A 7 7 1.00 15 0.467
9 A 8 7 1.00 15 0.467
10 A 9 7 1.00 15 0.467
11 A 6 6 1.00 15 0.400
12 A 6 6 1.00 16 0.375
13 A 3 3 1.00 11 0.273
14 A 3 3 1.00 15 0.200
15 A 3 3 1.00 13 0.231
16 A 3 3 1.00 13 0.231
17 A 6 6 1.00 15 0.400
18 A 3 3 1.00 19 0.158
19 A 3 3 1.00 21 0.143
20 A 3 3 1.00 31 0.097
21 A 3 3 1.00 36 0.083
22 A 12 10 1.00 35 0.286
23 A 11 9 1.00 33 0.273
24 A 10 8 1.00 36 0.222
25 A 10 10 1.00 19 0.526
26 A 9 9 1.00 18 0.500
27 A 4 4 1.00 27 0.148
28 A 4 4 1.00 28 0.143
29 A 4 4 1.00 24 0.167
30 A 4 4 1.00 24 0.167
31 A 4 4 1.00 26 0.154
32 A 4 4 1.00 26 0.154
33 A 4 4 1.00 28 0.143
34 A 4 4 1.00 30 0.133
35 A 4 4 1.00 29 0.138
36 A 4 4 1.00 29 0.138
37 A 4 4 1.00 29 0.138
38 A 4 4 1.00 32 0.125
39 A 6 6 1.00 13 0.462
40 A 4 4 1.00 49 0.082
41 A 4 4 1.00 57 0.070
42 A 2 2 1.00 31 0.065
43 A 2 2 1.00 42 0.048
44 A 4 4 1.00 42 0.095
45 A 4 4 1.00 45 0.089
46 A 4 4 1.00 45 0.089
47 A 4 4 1.00 44 0.091
48 A 3 3 1.00 20 0.150
49 A 6 6 1.00 20 0.300
50 A 2 2 1.00 16 0.125
51 A 5 5 1.00 20 0.250
52 A 3 3 1.00 18 0.167
53 A 2 1 1.00 30 0.033
54 A 2 1 1.00 30 0.033
55 A 2 1 1.00 28 0.036
56 A 2 1 1.00 30 0.033
57 A 7 7 1.00 30 0.233
58 A 8 8 1.00 30 0.267
59 A 7 5 1.00 32 0.156
60 A 6 5 1.00 32 0.156
61 A 5 5 1.00 32 0.156
62 A 4 4 1.00 32 0.125
63 A 5 5 1.00 32 0.156
64 A 6 5 1.00 32 0.156
65 A 7 5 1.00 32 0.156
66 A 7 6 1.00 32 0.188
67 A 6 6 1.00 32 0.188
68 A 5 5 1.00 32 0.156
69 A 6 6 1.00 32 0.188
70 A 8 8 1.00 17 0.471
71 A 10 9 1.00 17 0.529
72 A 10 9 0.99 17 0.529
73 A 10 9 0.99 22 0.409
74 A 10 9 1.00 22 0.409
75 A 10 9 1.00 22 0.409
76 A 9 8 1.00 17 0.471
77 A 9 8 1.00 19 0.421
78 A 8 7 1.00 18 0.389
79 A 3 3 1.00 18 0.167
80 A 3 3 1.00 22 0.136
81 A 1 1 1.00 20 0.050
82 A 1 1 1.00 20 0.050
83 A 3 3 1.00 33 0.091
84 A 3 3 1.00 35 0.086
85 A 1 1 1.00 36 0.028
86 A 1 1 1.00 36 0.028
87 A 3 3 1.00 30 0.100
88 A 3 3 1.00 32 0.094
89 A 1 1 1.00 33 0.030
90 A 1 1 1.00 33 0.030
91 A 1 1 1.00 20 0.050
92 A 1 1 1.00 24 0.042
93 A 3 3 1.00 22 0.136
94 A 3 3 1.00 22 0.136
95 A 1 1 1.00 20 0.050
96 A 1 1 1.00 20 0.050
97 A 3 3 1.00 18 0.167
98 A 3 3 1.00 22 0.136
99 A 1 1 1.00 35 0.029
100 A 1 1 1.00 37 0.027
101 A 3 3 1.00 38 0.079
102 A 3 3 1.00 38 0.079
103 A 1 1 1.00 32 0.031
104 A 1 1 1.00 34 0.029
105 A 3 3 1.00 35 0.086
106 A 3 3 1.00 35 0.086
107 A 3 3 1.00 17 0.176
108 A 3 3 1.00 18 0.167
109 A 3 3 1.00 19 0.158
110 A 3 3 1.00 20 0.150
111 A 3 3 1.00 15 0.200
112 A 3 3 1.00 17 0.176
113 A 3 3 1.00 15 0.200
114 A 3 3 1.00 17 0.176
115 A 7 5 1.00 16 0.312
116 A 13 9 1.00 15 0.600
117 A 8 6 1.00 16 0.375
118 A 14 10 1.00 15 0.667
119 A 9 6 1.00 16 0.375
120 A 15 10 1.00 15 0.667
121 A 10 6 1.00 16 0.375
122 A 16 10 1.00 15 0.667
123 A 7 5 1.00 15 0.333
124 A 13 9 1.00 13 0.692
125 A 7 5 1.00 21 0.238
126 A 13 9 1.00 20 0.450
127 A 8 6 1.00 21 0.286
128 A 14 10 1.00 20 0.500
129 A 9 6 1.00 21 0.286
130 A 15 10 1.00 20 0.500
131 A 10 6 1.00 21 0.286
132 A 16 10 1.00 20 0.500
133 A 3 2 1.00 11 0.182
134 A 3 2 1.00 12 0.167
135 A 2 1 1.00 15 0.067
136 A 3 2 1.00 14 0.143
137 A 2 1 1.00 17 0.059
138 A 3 2 1.00 19 0.105
139 A 2 1 1.00 20 0.050
140 A 2 2 1.00 14 0.143
141 A 4 3 1.00 17 0.176
142 A 4 3 1.00 19 0.158
143 A 3 2 1.00 20 0.100
144 A 4 3 1.00 21 0.143
145 A 3 2 1.00 22 0.091
146 A 4 3 1.00 24 0.125
147 A 3 2 1.00 25 0.080
148 A 3 2 1.00 25 0.080
149 A 8 6 1.00 26 0.231
150 A 9 7 1.00 26 0.269
151 A 10 7 1.00 26 0.269
152 A 10 7 1.00 11 0.636
153 A 3 3 1.00 12 0.250
154 A 13 9 1.00 15 0.600
155 A 10 7 1.00 14 0.500
156 A 9 6 1.00 17 0.353
157 A 14 10 1.00 19 0.526
158 A 13 9 1.00 20 0.450
159 A 2 2 1.00 14 0.143
160 A 12 8 1.00 17 0.471
161 A 5 5 1.00 19 0.263
162 A 15 11 1.00 20 0.550
163 A 13 9 1.00 21 0.429
164 A 12 8 1.00 22 0.364
165 A 16 12 1.00 24 0.500
166 A 15 11 1.00 25 0.440
167 A 2 2 1.00 19 0.105
168 A 11 8 1.00 17 0.471
169 A 9 7 1.00 20 0.350
170 A 15 11 1.00 19 0.579
171 A 11 8 1.00 31 0.258
172 A 8 6 1.00 31 0.194
173 A 9 7 1.00 31 0.226
174 A 10 8 1.00 31 0.258
175 A 17 12 1.00 30 0.400
176 A 14 10 1.00 30 0.333
177 A 15 11 1.00 30 0.367
178 A 16 12 1.00 30 0.400
179 A 2 2 1.00 21 0.095
180 A 2 2 1.00 21 0.095
181 A 2 1 1.00 19 0.053
182 A 2 2 1.00 19 0.105
183 A 2 2 1.00 21 0.095
184 A 2 2 1.00 21 0.095
185 A 2 2 1.00 21 0.095
186 A 13 9 1.00 36 0.250
187 A 13 9 1.00 41 0.220
188 A 13 9 1.00 46 0.196
189 A 19 13 1.00 35 0.371
190 A 19 13 1.00 40 0.325
191 A 19 13 1.00 45 0.289
192 A 8 6 1.00 36 0.167
193 A 8 6 1.00 41 0.146
194 A 10 8 1.00 46 0.174
195 A 14 10 1.00 35 0.286
196 A 14 10 1.00 40 0.250
197 A 16 12 1.00 45 0.267
198 A 9 7 1.00 36 0.194
199 A 9 7 1.00 41 0.171
200 A 9 7 1.00 46 0.152
201 A 15 11 1.00 35 0.314
202 A 15 11 1.00 40 0.275
203 A 15 11 1.00 45 0.244
204 A 10 8 1.00 36 0.222
205 A 10 8 1.00 41 0.195
206 A 10 8 1.00 46 0.174
207 A 16 12 1.00 35 0.343
208 A 16 12 1.00 40 0.300
209 A 16 12 1.00 45 0.267
210 A 6 5 1.00 17 0.294
211 A 7 6 1.00 18 0.333
212 A 7 6 1.00 19 0.316
213 A 6 5 1.00 20 0.250
214 A 8 7 1.00 22 0.318
215 A 1 1 1.00 23 0.043
216 A 1 1 1.00 26 0.038
217 A 1 1 1.00 28 0.036
218 A 1 1 1.00 31 0.032
219 A 1 1 1.00 15 0.067
220 A 12 10 1.00 42 0.238
221 A 3 2 1.00 11 0.182
222 A 3 2 1.00 15 0.133
223 A 3 2 1.00 30 0.067
224 A 3 2 1.00 30 0.067
225 A 3 2 1.00 30 0.067
226 A 3 2 1.00 30 0.067
227 A 3 2 1.00 30 0.067
228 A 3 2 1.00 30 0.067
229 A 3 2 1.00 30 0.067
230 A 3 2 1.00 30 0.067
231 A 3 2 1.00 30 0.067
232 A 3 2 1.00 30 0.067
233 A 9 8 1.00 30 0.267
234 A 9 8 1.00 30 0.267
235 A 9 8 1.00 30 0.267
236 A 9 8 1.00 30 0.267
237 A 9 8 1.00 30 0.267
238 A 9 8 1.00 28 0.286
239 A 8 7 1.00 27 0.259
240 A 8 7 1.00 30 0.233
241 A 8 7 1.00 30 0.233
242 A 8 7 1.00 30 0.233
243 A 8 7 1.00 30 0.233
244 A 8 7 1.00 30 0.233
245 A 8 7 1.00 30 0.233
246 A 8 7 1.00 30 0.233
247 A 8 7 1.00 30 0.233
248 A 8 7 1.00 30 0.233
249 A 8 7 1.00 30 0.233
250 A 8 7 1.00 30 0.233
251 A 3 2 1.00 30 0.067
252 A 3 2 1.00 30 0.067
253 A 3 2 1.00 30 0.067
254 A 3 2 1.00 30 0.067
255 A 3 2 1.00 30 0.067
256 A 3 2 1.00 30 0.067
257 A 3 2 1.00 30 0.067
258 A 3 2 1.00 30 0.067
259 A 3 2 1.00 30 0.067
260 A 9 8 1.00 30 0.267
261 A 12 10 1.00 30 0.333
262 A 9 8 1.00 30 0.267
263 A 11 10 1.00 30 0.333
264 A 9 8 1.00 30 0.267
265 A 10 9 1.00 28 0.321
266 A 9 9 1.00 27 0.333
267 A 9 8 1.00 30 0.267
268 A 9 8 1.00 30 0.267
269 A 9 8 1.00 30 0.267
270 A 9 8 1.00 30 0.267
271 A 9 8 1.00 30 0.267
272 A 9 8 1.00 30 0.267
273 A 9 8 1.00 30 0.267
274 A 9 8 1.00 30 0.267
275 A 9 8 1.00 30 0.267
276 A 3 2 1.00 30 0.067
277 A 3 2 1.00 30 0.067
278 A 3 2 1.00 30 0.067
279 A 3 2 1.00 30 0.067
280 A 3 2 1.00 30 0.067
281 A 3 2 1.00 30 0.067
282 A 3 2 1.00 30 0.067
283 A 3 2 1.00 30 0.067
284 A 3 2 1.00 30 0.067
285 A 3 2 1.00 30 0.067
286 A 10 9 1.00 30 0.300
287 A 14 10 1.00 30 0.333
288 A 10 9 1.00 30 0.300
289 A 13 10 1.00 30 0.333
290 A 10 9 1.00 30 0.300
291 A 12 10 1.00 30 0.333
292 A 10 10 1.00 30 0.333
293 A 10 10 1.00 28 0.357
294 A 9 9 1.00 27 0.333
295 A 9 9 1.00 30 0.300
296 A 9 9 1.00 30 0.300
297 A 10 9 1.00 30 0.300
298 A 10 9 1.00 30 0.300
299 A 10 8 1.00 30 0.267
300 A 10 8 1.00 30 0.267
301 A 10 8 1.00 30 0.267
302 A 10 8 1.00 30 0.267
303 A 10 8 1.00 30 0.267
304 A 8 7 1.00 16 0.438
305 A 5 4 1.00 16 0.250
306 A 8 7 1.00 16 0.438
307 A 6 6 1.00 14 0.429
308 A 6 5 1.00 16 0.312
309 A 6 5 1.00 16 0.312
310 A 3 2 1.00 16 0.125
311 A 6 6 1.00 14 0.429
312 A 6 6 1.00 16 0.375
313 A 2 1 1.00 21 0.048
314 A 2 1 1.00 19 0.053
315 A 2 1 1.00 18 0.056
316 A 2 1 1.00 21 0.048
317 A 2 1 1.00 21 0.048
318 A 2 1 1.00 21 0.048
319 A 3 2 1.00 23 0.087
320 A 3 2 1.00 21 0.095
321 A 3 2 1.00 20 0.100
322 A 2 1 1.00 23 0.043
323 A 2 1 1.00 23 0.043
324 A 2 1 1.00 23 0.043
325 A 3 2 1.00 23 0.087
326 A 3 2 1.00 21 0.095
327 A 3 2 1.00 20 0.100
328 A 2 1 1.00 23 0.043
329 A 2 1 1.00 23 0.043
330 A 2 1 1.00 23 0.043
331 A 3 2 1.00 23 0.087
332 A 3 2 1.00 21 0.095
333 A 3 2 1.00 20 0.100
334 A 2 1 1.00 23 0.043
335 A 2 1 1.00 23 0.043
336 A 2 1 1.00 23 0.043
337 A 10 9 1.00 23 0.391
338 A 10 9 1.00 23 0.391
339 A 10 9 1.00 21 0.429
340 A 8 8 1.00 20 0.400
341 A 10 9 1.00 23 0.391
342 A 10 9 1.00 23 0.391
343 A 10 9 1.00 23 0.391
344 A 7 7 1.00 23 0.304
345 A 7 7 1.00 21 0.333
346 A 7 7 1.00 20 0.350
347 A 11 10 1.00 23 0.435
348 A 11 10 1.00 23 0.435
349 A 11 10 1.00 23 0.435
350 A 11 10 1.00 23 0.435
351 A 8 8 1.00 23 0.348
352 A 8 8 1.00 21 0.381
353 A 8 8 1.00 20 0.400
354 A 12 10 1.00 23 0.435
355 A 12 10 1.00 23 0.435
356 A 12 10 1.00 23 0.435
357 A 12 10 1.00 23 0.435
358 A 9 8 1.00 23 0.348
359 A 9 9 1.00 21 0.429
360 A 9 8 1.00 20 0.400
361 A 13 10 1.00 23 0.435
362 A 13 10 1.00 23 0.435
363 A 13 10 1.00 23 0.435
364 A 13 10 1.00 23 0.435
365 A 5 5 1.00 20 0.250
366 A 4 4 1.00 18 0.222
367 A 5 5 1.00 20 0.250
368 A 4 4 1.00 18 0.222
369 A 4 4 1.00 27 0.148
370 A 4 4 1.00 29 0.138
371 A 4 4 1.00 28 0.143
372 A 4 4 1.00 28 0.143
373 A 2 1 1.00 36 0.028
374 A 2 1 1.00 36 0.028
375 A 2 1 1.00 36 0.028
376 A 2 1 1.00 34 0.029
377 A 2 1 1.00 33 0.030
378 A 2 1 1.00 36 0.028
379 A 2 1 1.00 36 0.028
380 A 2 1 1.00 36 0.028
381 A 2 1 1.00 36 0.028
382 A 2 1 1.00 36 0.028
383 A 2 1 1.00 38 0.026
384 A 2 1 1.00 38 0.026
385 A 3 2 1.00 38 0.053
386 A 3 2 1.00 36 0.056
387 A 3 2 1.00 35 0.057
388 A 3 2 1.00 38 0.053
389 A 3 2 1.00 38 0.053
390 A 3 2 1.00 38 0.053
391 A 2 1 1.00 38 0.026
392 A 2 1 1.00 38 0.026
393 A 2 1 1.00 38 0.026
394 A 2 1 1.00 38 0.026
395 A 3 2 1.00 38 0.053
396 A 3 2 1.00 36 0.056
397 A 3 2 1.00 35 0.057
398 A 3 2 1.00 38 0.053
399 A 3 2 1.00 38 0.053
400 A 3 2 1.00 38 0.053
401 A 2 1 1.00 38 0.026
402 A 2 1 1.00 38 0.026
403 A 13 10 1.00 38 0.263
404 A 13 10 1.00 38 0.263
405 A 13 10 1.00 38 0.263
406 A 13 10 1.00 36 0.278
407 A 10 9 0.99 35 0.257
408 A 10 9 0.99 38 0.237
409 A 10 9 1.00 38 0.237
410 A 10 9 0.99 38 0.237
411 A 10 9 0.99 38 0.237
412 A 11 10 1.00 38 0.263
413 A 11 10 1.00 38 0.263
414 A 11 10 0.99 38 0.263
415 A 11 10 1.00 36 0.278
416 A 9 9 1.00 35 0.257
417 A 11 10 0.99 38 0.263
418 A 11 10 1.00 38 0.263
419 A 11 10 0.99 38 0.263
420 A 11 10 0.99 38 0.263
421 A 12 11 1.00 38 0.290
422 A 10 10 1.00 38 0.263
423 A 8 8 1.00 38 0.210
424 A 8 8 1.00 36 0.222
425 A 8 8 1.00 35 0.229
426 A 12 10 0.99 38 0.263
427 A 12 10 1.00 38 0.263
428 A 12 10 0.99 38 0.263
429 A 12 10 0.99 38 0.263
430 A 10 7 1.00 25 0.280
431 A 8 7 1.00 25 0.280
432 A 6 6 1.00 23 0.261
433 A 5 5 1.00 22 0.227
434 A 7 7 1.00 25 0.280
435 A 8 8 1.00 25 0.320
436 A 9 8 1.00 25 0.320
437 A 8 7 1.00 25 0.280
438 A 7 7 1.00 25 0.280
439 A 6 6 1.00 25 0.240
440 A 4 4 1.00 25 0.160
441 A 6 6 1.00 23 0.261
442 A 4 4 1.00 22 0.182
443 A 10 10 1.00 25 0.400
444 A 11 11 1.00 25 0.440
445 A 13 9 1.00 35 0.257
446 A 11 9 1.00 35 0.257
447 A 9 8 1.00 33 0.242
448 A 8 7 1.00 32 0.219
449 A 11 11 1.00 35 0.314
450 A 11 11 1.00 35 0.314
451 A 10 9 1.00 35 0.257
452 A 11 9 1.00 35 0.257
453 A 12 9 1.00 35 0.257
454 A 10 10 1.00 35 0.286
455 A 11 10 1.00 35 0.286
456 A 12 10 1.00 35 0.286
457 A 13 10 1.00 35 0.286
458 A 14 9 1.00 35 0.257
459 A 12 9 1.00 35 0.257
460 A 10 8 1.00 33 0.242
461 A 9 7 1.00 32 0.219
462 A 12 11 1.00 35 0.314
463 A 12 11 1.00 35 0.314
464 A 11 9 1.00 35 0.257
465 A 12 9 1.00 35 0.257
466 A 13 9 1.00 35 0.257
467 A 11 11 1.00 35 0.314
468 A 12 11 1.00 35 0.314
469 A 13 11 1.00 35 0.314
470 A 11 10 1.00 35 0.286
471 A 12 10 1.00 35 0.286
472 A 13 10 1.00 35 0.286
473 A 14 10 1.00 35 0.286
474 A 8 7 1.18 20 0.350
475 A 7 4 1.17 21 0.190
476 A 7 4 1.17 23 0.174
477 A 2 1 1.00 23 0.043
478 A 2 1 1.00 26 0.038
479 A 3 2 1.00 25 0.080
480 A 3 2 1.00 28 0.071
481 A 3 2 1.00 25 0.080
482 A 3 2 1.00 28 0.071
483 A 3 2 1.00 25 0.080
484 A 3 2 1.00 28 0.071
485 A 9 7 1.00 26 0.269
486 A 12 9 1.00 29 0.310
487 A 15 11 1.00 25 0.440
488 A 18 13 1.00 28 0.464
489 A 14 10 1.00 25 0.400
490 A 14 10 1.00 28 0.357
491 A 15 11 1.00 25 0.440
492 A 15 11 1.00 28 0.393
493 A 16 11 1.00 25 0.440
494 A 16 11 1.00 28 0.393
495 A 14 12 1.00 30 0.400
496 A 13 11 1.00 30 0.367
497 A 12 11 1.00 30 0.367
498 A 12 11 1.00 28 0.393
499 A 11 10 1.00 27 0.370
500 A 14 13 1.00 30 0.433
501 A 14 13 1.00 30 0.433
502 A 14 13 1.00 30 0.433
503 A 15 14 1.00 30 0.467
504 A 13 13 1.00 30 0.433
505 A 14 14 1.00 30 0.467
506 A 12 12 1.00 30 0.400
507 A 13 12 1.00 30 0.400
508 A 14 13 1.00 30 0.433
509 A 15 13 1.00 30 0.433
510 A 16 12 1.00 30 0.400
511 A 15 11 1.00 30 0.367
512 A 14 11 1.00 30 0.367
513 A 14 11 1.00 28 0.393
514 A 13 10 1.00 27 0.370
515 A 16 13 1.00 30 0.433
516 A 16 14 1.00 30 0.467
517 A 16 15 1.00 30 0.500
518 A 16 14 1.00 30 0.467
519 A 15 15 1.00 30 0.500
520 A 15 15 1.00 30 0.500
521 A 15 15 1.00 30 0.500
522 A 16 16 1.00 30 0.533
523 A 14 13 1.00 30 0.433
524 A 15 14 1.00 30 0.467
525 A 13 12 1.00 30 0.400
526 A 14 12 1.00 30 0.400
527 A 15 13 1.00 30 0.433
528 A 16 13 1.00 30 0.433
529 A 12 10 1.00 30 0.333
530 A 11 9 1.00 30 0.300
531 A 10 9 1.00 30 0.300
532 A 10 9 1.00 28 0.321
533 A 9 8 1.00 27 0.296
534 A 12 11 1.00 30 0.367
535 A 13 12 1.00 30 0.400
536 A 11 10 1.00 30 0.333
537 A 12 10 1.00 30 0.333
538 A 13 11 1.00 30 0.367
539 A 14 11 1.00 30 0.367
540 A 12 11 1.00 30 0.367
541 A 11 10 1.00 30 0.333
542 A 10 9 1.00 30 0.300
543 A 9 8 0.98 30 0.267
544 A 10 9 1.00 30 0.300
545 A 7 6 1.00 28 0.214
546 A 4 4 1.00 27 0.148
547 A 11 10 1.00 30 0.333
548 A 13 12 1.00 30 0.400
549 A 15 12 1.00 30 0.400
550 A 17 13 1.00 30 0.433
551 A 14 4 1.00 30 0.133
552 A 12 8 1.19 25 0.320
553 A 13 7 1.00 28 0.250
554 A 2 2 1.00 22 0.091
555 A 2 2 1.00 35 0.057
556 A 2 2 1.00 35 0.057
557 A 2 2 1.00 22 0.091
558 A 3 3 1.00 25 0.120
559 A 6 5 1.00 15 0.333
560 A 6 5 1.00 15 0.333
561 A 7 6 1.00 20 0.300
562 A 7 6 1.00 20 0.300
563 A 7 7 1.00 17 0.412
564 A 7 6 1.00 25 0.240
565 A 11 6 1.00 35 0.171
566 A 11 6 1.00 35 0.171
567 A 8 5 1.00 22 0.227
568 A 11 7 1.00 25 0.280
569 A 17 7 1.00 15 0.467
570 A 17 7 1.00 15 0.467
571 A 14 7 1.00 20 0.350
572 A 14 7 1.00 20 0.350
573 A 15 9 1.00 17 0.529
574 A 14 7 1.00 25 0.280
575 A 13 7 1.00 18 0.389
576 A 7 4 1.00 36 0.111
577 A 4 3 1.00 19 0.158
578 A 4 3 1.00 19 0.158
579 A 4 2 1.00 17 0.118
580 A 1 0 1.00 9 0.000
581 A 3 3 1.00 19 0.158
582 A 3 3 1.00 19 0.158
583 A 3 3 1.00 19 0.158
584 A 13 4 1.00 38 0.105
585 A 2 2 1.00 58 0.034
586 A 10 3 1.00 30 0.100
587 A 13 4 1.00 36 0.111
588 A 4 4 1.00 35 0.114
589 A 1 1 1.00 46 0.022
590 A 10 8 1.00 24 0.333
591 A 1 1 1.00 48 0.021
592 A 1 1 1.00 45 0.022
593 A 1 1 1.00 69 0.014
594 A 1 1 1.00 86 0.012

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