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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 373, 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 }

B grade: { }

C grade: { }

F grade: { 370, 371, 372, 374}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 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, 92, 93, 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, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 141, 145, 146, 147, 148, 149, 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, 204, 205, 206, 207, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 227, 228, 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, 268, 271, 272, 273, 274, 275, 277, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 300, 302, 303, 304, 305, 306, 307, 308, 309, 331, 332, 333, 334, 335, 336, 337, 338, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 395, 396, 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, 433, 434, 435, 436, 437, 440, 441, 444, 445, 446, 447, 448, 449, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 521, 523, 524, 525, 526, 527, 528, 529, 530, 534, 539, 540, 541, 542, 543, 544, 545, 546, 547 }

B grade: { 56, 57, 62, 63, 94, 95, 128, 129, 133, 225, 226, 229, 230, 231, 278, 339, 340, 341, 342, 343, 394, 397, 398, 432, 438, 439, 442, 443, 450, 474, 522, 531, 532, 533, 535, 536, 537, 538 }

C grade: { 142, 143, 144, 150, 151, 203, 208, 266, 267, 269, 270, 293, 294, 295, 296, 297, 298, 299, 301, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495 }

F grade: { 91, 276, 368, 373, 520}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 6, 7, 8, 19, 20, 33, 38, 39, 47, 64, 65, 66, 70, 71, 72, 75, 76, 77, 78, 81, 82, 83, 84, 92, 93, 98, 99, 103, 104, 108, 109, 110, 114, 115, 116, 120, 121, 122, 127, 132, 137, 140, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 174, 179, 195, 196, 197, 209, 213, 214, 215, 216, 234, 235, 236, 237, 238, 239, 240, 241, 279, 281, 303, 309, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 346, 350, 354, 375, 376, 377, 381, 395, 396, 399, 400, 402, 403, 407, 423, 444, 448, 449, 453, 454, 458, 459, 463, 464, 468, 469, 473, 477, 481, 484, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 507, 508, 509, 510, 511, 512, 513, 517, 540, 541, 542, 543, 544, 545, 546, 547 }

B grade: { 67, 68, 69, 73, 74, 79, 80, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 186, 187, 188, 280, 282, 351, 352, 353, 355, 356, 357 }

C grade: { 17, 18, 21, 22, 23, 35, 36, 37, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 85, 86, 87, 91, 97, 102, 217, 218, 219, 220, 221, 222, 223, 226, 227, 231, 232, 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, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 304, 305, 306, 307, 308, 322, 331, 343, 344, 345, 349, 358, 359, 360, 361, 362, 363, 364, 365, 366, 379, 380, 382, 383, 384, 385, 386, 387, 388, 389 }

F grade: { 5, 9, 10, 11, 12, 13, 14, 15, 16, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 58, 59, 88, 89, 90, 94, 95, 96, 100, 101, 105, 106, 107, 111, 112, 113, 117, 118, 119, 123, 124, 125, 126, 128, 129, 130, 131, 133, 134, 135, 136, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 162, 170, 171, 172, 173, 189, 190, 191, 192, 193, 194, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 224, 225, 228, 229, 230, 233, 275, 276, 277, 278, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 347, 348, 367, 368, 369, 370, 371, 372, 373, 374, 378, 390, 391, 392, 393, 394, 397, 398, 401, 404, 405, 406, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 445, 446, 447, 450, 451, 452, 455, 456, 457, 460, 461, 462, 465, 466, 467, 470, 471, 472, 474, 475, 476, 478, 479, 480, 482, 483, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 506, 514, 515, 516, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539 }

2.1.4 Maxima

A grade: { 3, 4, 5, 6, 7, 8, 13, 14, 15, 16, 20, 32, 37, 38, 39, 41, 42, 46, 64, 65, 66, 67, 68, 69, 70, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 92, 93, 98, 99, 103, 104, 108, 109, 110, 114, 115, 116, 120, 121, 122, 127, 132, 137, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 195, 196, 197, 209, 214, 215, 216, 234, 235, 236, 237, 238, 239, 240, 241, 252, 303, 304, 307, 308, 332, 345, 346, 350, 358, 359, 360, 361, 363, 364, 365, 366, 375, 376, 379, 380, 381, 395, 396, 399, 400, 402, 403, 406, 407, 419, 421, 422, 423, 425, 426, 429, 430, 431, 444, 448, 449, 453, 454, 458, 459, 463, 464, 468, 469, 473, 477, 481, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 507, 508, 509, 510, 511, 512, 540, 541, 542, 543, 544, 545, 546, 547

B grade: { 1, 2, 17, 18, 19, 35, 36, 43, 44, 45, 47, 52, 53, 54, 55, 60, 61, 71, 75, 175, 176, 177, 178, 179, 183, 184, 185, 186, 187, 188, 189, 190, 279, 280, 305, 337, 338, 339, 340, 341, 342, 404, 405, 420, 427, 428, 435, 436, 437, 441 }

C grade: { 9, 10, 11, 12 }

F grade: { 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 40, 48, 49, 50, 51, 56, 57, 58, 59, 62, 63, 72, 88, 89, 90, 91, 94, 95, 96, 97, 100, 101, 102, 105, 106, 107, 111, 112, 113, 117, 118, 119, 123, 124, 125, 126, 128, 129, 130, 131, 133, 134, 135, 136, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 162, 169, 170, 171, 172, 173, 174, 180, 181, 182, 191, 192, 193, 194, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 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, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 306, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 333, 334, 335, 336, 343, 344, 347, 348, 349, 351, 352, 353, 354, 355, 356, 357, 362, 367, 368, 369, 370, 371, 372, 373, 374, 377, 378, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 397, 398, 401, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 424, 432, 433, 434, 438, 439, 440, 442, 443, 445, 446, 447, 450, 451, 452, 455, 456, 457, 460, 461, 462, 465, 466, 467, 470, 471, 472, 474, 475, 476, 478, 479, 480, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 506, 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 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 16, 20, 21, 22, 31, 33, 34, 38, 39, 41, 64, 65, 66, 67, 68, 69, 70, 71, 72, 75, 76, 81, 82, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 138, 139, 140, 141, 152, 153, 154, 155, 163, 164, 165, 166, 167, 168, 173, 174, 175, 176, 177, 178, 179, 183, 184, 185, 186, 191, 192, 193, 194, 195, 196, 197, 212, 213, 214, 215, 216, 234, 235, 236, 237, 238, 239, 240, 241, 252, 268, 279, 281, 303, 304, 307, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 346, 350, 375, 376, 377, 379, 380, 381, 395, 396, 399, 400, 402, 403, 407, 408, 409, 418, 422, 423, 425, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 458, 459, 483, 484, 485, 496, 497, 498, 499, 507, 508, 509, 510, 511, 512, 516, 517, 540, 541, 542, 543, 544, 545, 546, 547 }

B grade: { 17, 18, 19, 23, 35, 36, 37, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 60, 61, 100, 101, 102, 142, 143, 144, 187, 305, 308, 404, 405, 406, 410, 420, 421, 426, 427, 428, 429, 430, 431, 435, 436, 437, 441, 455, 456, 457, 482, 486, 487, 488 }

C grade: { }

F grade: { 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 32, 40, 48, 49, 50, 51, 56, 57, 58, 59, 62, 63, 73, 74, 77, 78, 79, 80, 83, 84, 86, 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, 145, 146, 147, 148, 149, 150, 151, 156, 157, 158, 159, 160, 161, 162, 169, 170, 171, 172, 180, 181, 182, 188, 189, 190, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 306, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 343, 344, 345, 347, 348, 349, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 378, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 397, 398, 401, 411, 412, 413, 414, 415, 416, 417, 419, 424, 432, 433, 434, 438, 439, 440, 442, 443, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 489, 490, 491, 492, 493, 494, 495, 500, 501, 502, 503, 504, 505, 506, 513, 514, 515, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 16, 17, 18, 19, 20, 33, 35, 36, 37, 38, 39, 44, 45, 46, 47, 52, 53, 54, 55, 60, 61, 64, 65, 66, 67, 68, 69, 70, 76, 79, 80, 82, 83, 84, 85, 87, 92, 98, 103, 108, 109, 114, 127, 132, 139, 140, 141, 154, 155, 157, 158, 160, 174, 176, 177, 178, 179, 186, 195, 234, 235, 236, 238, 239, 303, 304, 305, 332, 346, 375, 379, 380, 381, 402, 403, 404, 405, 406, 407, 420, 421, 422, 423, 425, 428, 429, 430, 431, 435, 436, 437, 441, 444, 448, 463, 464, 473, 477, 483, 484, 485, 498, 501, 504, 517, 540, 541 }

B grade: { 175, 183, 184, 185, 187 }

C grade: { 72, 73, 74, 75, 77, 78, 81 }

F grade: { 9, 10, 14, 15, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 40, 41, 42, 43, 48, 49, 50, 51, 56, 57, 58, 59, 62, 63, 71, 86, 88, 89, 90, 91, 93, 94, 95, 96, 97, 99, 100, 101, 102, 104, 105, 106, 107, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 131, 133, 134, 135, 136, 137, 138, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 156, 159, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 180, 181, 182, 188, 189, 190, 191, 192, 193, 194, 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, 237, 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, 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, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 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, 376, 377, 378, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 424, 426, 427, 432, 433, 434, 438, 439, 440, 442, 443, 445, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 465, 466, 467, 468, 469, 470, 471, 472, 474, 475, 476, 478, 479, 480, 481, 482, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 499, 500, 502, 503, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 542, 543, 544, 545, 546, 547 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 20, 21, 33, 39, 41, 64, 65, 66, 67, 68, 69, 70, 76, 82, 85, 88, 89, 90, 91, 92, 93, 98, 99, 103, 104, 108, 109, 110, 114, 115, 116, 120, 121, 122, 127, 132, 137, 140, 141, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 174, 176, 177, 178, 179, 196, 197, 213, 214, 215, 216, 234, 235, 236, 237, 238, 239, 240, 241, 252, 268, 307, 332, 346, 350, 375, 376, 377, 381, 395, 396, 399, 400, 402, 403, 407, 408, 423, 425, 444, 445, 446, 447, 448, 449, 453, 454, 458, 459, 463, 464, 468, 469, 473, 477, 481, 484, 485, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 507, 508, 509, 510, 511, 512, 513, 517, 540, 541, 542, 543, 544, 545, 546, 547 }

B grade: { 17, 18, 19, 22, 23, 35, 36, 37, 38, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 60, 61, 87, 94, 95, 96, 97, 100, 101, 102, 142, 175, 183, 184, 185, 186, 187, 195, 303, 304, 305, 308, 379, 380, 404, 405, 406, 409, 410, 420, 421, 422, 426, 427, 428, 429, 430, 431, 435, 436, 437, 441, 450, 451, 452, 456, 457, 486, 487 }

C grade: { }

F grade: { 9, 10, 13, 14, 15, 16, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 40, 48, 49, 50, 51, 56, 57, 58, 59, 62, 63, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 83, 84, 86, 105, 106, 107, 111, 112, 113, 117, 118, 119, 123, 124, 125, 126, 128, 129, 130, 131, 133, 134, 135, 136, 138, 139, 143, 144, 145, 146, 147, 148, 149, 150, 151, 162, 169, 170, 171, 172, 173, 180, 181, 182, 188, 189, 190, 191, 192, 193, 194, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 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, 306, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 347, 348, 349, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 378, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 397, 398, 401, 411, 412, 413, 414, 415, 416, 417, 418, 419, 424, 432, 433, 434, 438, 439, 440, 442, 443, 455, 460, 461, 462, 465, 466, 467, 470, 471, 472, 474, 475, 476, 478, 479, 480, 482, 483, 488, 489, 490, 491, 492, 493, 494, 495, 506, 514, 515, 516, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 74 129 254 192 88 124
normalized size 1 1. 0.91 1.59 3.14 2.37 1.09 1.53
time (sec) N/A 0.035 0.008 0.06 1.256 1.842 0.628 1.301
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 57 98 169 143 68 96
normalized size 1 1. 0.93 1.61 2.77 2.34 1.11 1.57
time (sec) N/A 0.027 0.006 0.063 1.124 1.861 0.456 1.298
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 40 67 96 99 46 68
normalized size 1 1. 0.98 1.63 2.34 2.41 1.12 1.66
time (sec) N/A 0.018 0.004 0.056 1.09 1.857 0.433 1.137
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 36 42 53 26 45
normalized size 1 1. 1. 1.71 2. 2.52 1.24 2.14
time (sec) N/A 0.008 0.004 0.064 1.126 1.834 0.372 1.174
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 0 23 45 12 22
normalized size 1 1. 1. 0. 1.53 3. 0.8 1.47
time (sec) N/A 0.009 0.008 180. 1.115 2.002 0.765 1.275
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 54 27 113 29 51
normalized size 1 1. 1. 1.5 0.75 3.14 0.81 1.42
time (sec) N/A 0.015 0.013 0.059 1.121 1.915 0.871 1.249
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 47 85 28 169 48 81
normalized size 1 1. 0.75 1.35 0.44 2.68 0.76 1.29
time (sec) N/A 0.024 0.016 0.061 1.129 1.888 0.918 1.272
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 57 116 27 220 71 109
normalized size 1 1. 0.67 1.36 0.32 2.59 0.84 1.28
time (sec) N/A 0.033 0.019 0.059 1.146 1.92 0.86 1.212
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F C F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 75 0 105 0 0 0
normalized size 1 1. 0.77 0. 1.07 0. 0. 0.
time (sec) N/A 0.05 0.013 0.327 1.152 0. 0. 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F C F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 63 0 88 0 0 0
normalized size 1 1. 0.85 0. 1.19 0. 0. 0.
time (sec) N/A 0.038 0.01 0.276 1.173 0. 0. 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F C F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 0 66 0 90 74
normalized size 1 1. 1. 0. 1.32 0. 1.8 1.48
time (sec) N/A 0.031 0.009 0.342 1.216 0. 4.119 1.311
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F C F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 0 34 0 63 35
normalized size 1 1. 1. 0. 1.36 0. 2.52 1.4
time (sec) N/A 0.022 0.002 0.229 1.226 0. 5.086 1.317
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-2) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 58 0 61 0 92 0
normalized size 1 1. 1.18 0. 1.24 0. 1.88 0.
time (sec) N/A 0.03 0.024 0.259 1.259 0. 143.548 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 72 0 61 0 0 0
normalized size 1 1. 0.94 0. 0.79 0. 0. 0.
time (sec) N/A 0.038 0.029 0.272 1.261 0. 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 85 0 61 0 0 0
normalized size 1 1. 0.84 0. 0.6 0. 0. 0.
time (sec) N/A 0.049 0.034 0.344 1.29 0. 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 0 72 66 54 0
normalized size 1 1. 1. 0. 1.6 1.47 1.2 0.
time (sec) N/A 0.028 0.016 0.224 1.251 2.155 42.028 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 112 15871 675 1312 1059 1050
normalized size 1 1. 0.85 121.15 5.15 10.02 8.08 8.02
time (sec) N/A 0.074 0.055 1.475 1.203 2.037 9.237 1.277
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 85 4872 381 699 527 552
normalized size 1 1. 0.86 49.21 3.85 7.06 5.32 5.58
time (sec) N/A 0.053 0.011 0.688 1.192 1.992 3.883 1.277
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 59 130 177 311 211 240
normalized size 1 1. 0.91 2. 2.72 4.78 3.25 3.69
time (sec) N/A 0.035 0.009 0.078 1.299 1.971 1.509 1.309
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 36 54 93 42 62
normalized size 1 1. 1. 1.24 1.86 3.21 1.45 2.14
time (sec) N/A 0.015 0.006 0.059 1.11 2.066 0.567 1.243
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 312 0 113 0 66
normalized size 1 1. 1. 4.95 0. 1.79 0. 1.05
time (sec) N/A 0.055 0.066 0.527 0. 1.948 0. 1.166
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 123 457 0 292 0 414
normalized size 1 1. 1.28 4.76 0. 3.04 0. 4.31
time (sec) N/A 0.061 0.066 0.541 0. 1.963 0. 1.248
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 144 735 0 632 0 1785
normalized size 1 1. 1.07 5.44 0. 4.68 0. 13.22
time (sec) N/A 0.081 0.095 0.543 0. 2.044 0. 1.328
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 152 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.148 0.215 0.717 0. 0. 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 127 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.067 0.507 0. 0. 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 106 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.046 0.441 0. 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 80 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.016 0.454 0. 0. 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 139 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.116 0.526 0. 0. 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 163 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.176 0.522 0. 0. 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 203 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.216 0.453 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 103 0 0 143 0 0
normalized size 1 1. 1. 0. 0. 1.39 0. 0.
time (sec) N/A 0.059 0.094 0.463 0. 2.237 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 0 80 0 0 0
normalized size 1 1. 1. 0. 0.91 0. 0. 0.
time (sec) N/A 0.068 0.05 0.267 1.306 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 26 0 50 42 31
normalized size 1 1. 1. 1.3 0. 2.5 2.1 1.55
time (sec) N/A 0.047 0.027 0.11 0. 1.97 45.014 1.298
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 0 0 63 0 0
normalized size 1 1. 1. 0. 0. 1.5 0. 0.
time (sec) N/A 0.076 0.022 1.007 0. 2.088 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 315 1105 531 998 620 1652
normalized size 1 1. 1.77 6.21 2.98 5.61 3.48 9.28
time (sec) N/A 0.1 0.301 0.514 1.213 2.216 15.966 1.292
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 226 836 383 713 450 1053
normalized size 1 1. 1.52 5.61 2.57 4.79 3.02 7.07
time (sec) N/A 0.07 0.221 0.508 1.203 2.018 8.498 1.342
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 150 585 252 474 277 581
normalized size 1 1. 1.25 4.88 2.1 3.95 2.31 4.84
time (sec) N/A 0.054 0.142 0.508 1.264 2.164 3.951 1.214
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 101 101 138 267 148 251
normalized size 1 1. 1.11 1.11 1.52 2.93 1.63 2.76
time (sec) N/A 0.037 0.051 0.078 1.124 1.975 1.763 1.287
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 36 54 93 42 62
normalized size 1 1. 1. 1.24 1.86 3.21 1.45 2.14
time (sec) N/A 0.016 0.008 0.061 1.114 2.157 0.546 1.224
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 261 0 0 0 0
normalized size 1 1. 0.98 4.14 0. 0. 0. 0.
time (sec) N/A 0.052 0.014 0.625 0. 0. 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 57 354 115 215 0 150
normalized size 1 1. 0.77 4.78 1.55 2.91 0. 2.03
time (sec) N/A 0.032 0.07 0.313 1.212 2.467 0. 1.251
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 83 633 225 579 0 408
normalized size 1 1. 0.74 5.65 2.01 5.17 0. 3.64
time (sec) N/A 0.062 0.103 0.374 1.106 2.547 0. 1.23
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 110 950 406 1041 0 763
normalized size 1 1. 0.78 6.74 2.88 7.38 0. 5.41
time (sec) N/A 0.082 0.147 0.386 1.194 2.375 0. 1.276
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 301 360 6770 1116 2429 1744 3220
normalized size 1 0.82 0.99 18.55 3.06 6.65 4.78 8.82
time (sec) N/A 0.535 0.251 0.888 1.303 2.53 20.585 1.334
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 243 247 4597 748 1571 1103 1808
normalized size 1 0.85 0.86 16.02 2.61 5.47 3.84 6.3
time (sec) N/A 0.413 0.149 0.769 1.205 2.28 9.541 1.376
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 144 2616 424 851 561 803
normalized size 1 1. 0.77 14.06 2.28 4.58 3.02 4.32
time (sec) N/A 0.164 0.076 0.633 1.236 2.142 4.242 1.314
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 59 130 177 311 211 240
normalized size 1 1. 0.91 2. 2.72 4.78 3.25 3.69
time (sec) N/A 0.039 0.014 0.076 1.209 2.07 1.407 1.165
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 194 2018 0 0 0 0
normalized size 1 1. 1.75 18.18 0. 0. 0. 0.
time (sec) N/A 0.114 0.127 0.743 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 126 1092 0 0 0 0
normalized size 1 1. 0.95 8.27 0. 0. 0. 0.
time (sec) N/A 0.088 0.084 0.77 0. 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 233 204 1473 0 0 0 0
normalized size 1 1.15 1.01 7.29 0. 0. 0. 0.
time (sec) N/A 0.385 0.217 0.759 0. 0. 0. 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 347 302 1815 0 0 0 0
normalized size 1 1.09 0.95 5.73 0. 0. 0. 0.
time (sec) N/A 0.605 0.376 0.743 0. 0. 0. 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 598 598 475 30495 2277 5723 4495 7131
normalized size 1 1. 0.79 50.99 3.81 9.57 7.52 11.92
time (sec) N/A 0.552 0.409 2.204 1.554 3.073 50.503 1.517
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 432 432 333 20417 1539 3644 2746 4039
normalized size 1 1. 0.77 47.26 3.56 8.44 6.36 9.35
time (sec) N/A 0.384 0.213 1.743 1.881 2.562 23.691 1.358
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 201 11547 894 1925 1479 1824
normalized size 1 1. 0.76 43.57 3.37 7.26 5.58 6.88
time (sec) N/A 0.219 0.114 1.192 1.614 2.208 9.593 1.307
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 85 4872 381 699 527 552
normalized size 1 1. 0.86 49.21 3.85 7.06 5.32 5.58
time (sec) N/A 0.052 0.022 0.185 1.297 2.019 3.262 1.36
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 335 9538 0 0 0 0
normalized size 1 1. 2.12 60.37 0. 0. 0. 0.
time (sec) N/A 0.177 0.217 1.01 0. 0. 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 410 5626 0 0 0 0
normalized size 1 1. 2.16 29.61 0. 0. 0. 0.
time (sec) N/A 0.154 0.4 1.121 0. 0. 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 342 370 620 0 0 0 0 0
normalized size 1 1.08 1.81 0. 0. 0. 0. 0.
time (sec) N/A 0.625 0.836 1.987 0. 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 564 525 843 0 0 0 0 0
normalized size 1 0.93 1.49 0. 0. 0. 0. 0.
time (sec) N/A 1.14 1.297 2.224 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 258 37938 1570 3646 2885 3440
normalized size 1 1. 0.76 111.58 4.62 10.72 8.49 10.12
time (sec) N/A 0.281 0.218 2.669 1.362 2.551 19.212 1.316
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 112 15871 675 1312 1059 1050
normalized size 1 1. 0.85 121.15 5.15 10.02 8.08 8.02
time (sec) N/A 0.071 0.03 0.452 1.351 2.103 6.321 1.297
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 503 33189 0 0 0 0
normalized size 1 1. 2.45 161.9 0. 0. 0. 0.
time (sec) N/A 0.231 0.223 1.559 0. 0. 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 531 21740 0 0 0 0
normalized size 1 1. 2.14 87.66 0. 0. 0. 0.
time (sec) N/A 0.235 0.753 1.556 0. 0. 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 30 31 47 24 31
normalized size 1 1. 1. 1.58 1.63 2.47 1.26 1.63
time (sec) N/A 0.006 0.004 0.056 1.16 1.93 0.303 1.211
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 36 55 36 88 42 59
normalized size 1 1. 0.97 1.49 0.97 2.38 1.14 1.59
time (sec) N/A 0.014 0.004 0.059 1.241 1.76 0.366 1.32
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 51 80 50 127 63 84
normalized size 1 1. 0.93 1.45 0.91 2.31 1.15 1.53
time (sec) N/A 0.018 0.006 0.057 1.255 1.927 0.427 1.195
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 75 46 80 36 46
normalized size 1 1. 1. 3. 1.84 3.2 1.44 1.84
time (sec) N/A 0.015 0.007 0.057 1.245 2.009 0.358 1.198
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 48 131 51 136 63 88
normalized size 1 1. 0.98 2.67 1.04 2.78 1.29 1.8
time (sec) N/A 0.025 0.006 0.057 1.182 1.919 0.501 1.217
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 67 187 69 192 95 123
normalized size 1 1. 0.92 2.56 0.95 2.63 1.3 1.68
time (sec) N/A 0.032 0.008 0.059 1.239 2.044 0.623 1.241
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 30 47 73 37 54
normalized size 1 1. 1. 1.25 1.96 3.04 1.54 2.25
time (sec) N/A 0.009 0.007 0.059 1.146 2.012 0.442 1.241
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 35 138 55 0 0
normalized size 1 1. 1. 1.46 5.75 2.29 0. 0.
time (sec) N/A 0.026 0.007 0.061 1.22 2.07 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 19 0 39 17 0
normalized size 1 1. 1. 1.27 0. 2.6 1.13 0.
time (sec) N/A 0.019 0.003 0.06 0. 1.933 5.344 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 33 27 0 68 0
normalized size 1 1. 1. 2.06 1.69 0. 4.25 0.
time (sec) N/A 0.015 0.002 0.058 1.247 0. 2.98 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 33 27 0 68 0
normalized size 1 1. 1. 2.06 1.69 0. 4.25 0.
time (sec) N/A 0.015 0.002 0.057 1.205 0. 3.028 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 9 26 19 10 0
normalized size 1 1. 1. 1.12 3.25 2.38 1.25 0.
time (sec) N/A 0.007 0.001 0.059 1.26 1.961 2.522 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 9 11 22 7 12
normalized size 1 1. 1. 0.9 1.1 2.2 0.7 1.2
time (sec) N/A 0.006 0.001 0.058 1.195 1.811 0.087 1.211
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 26 0 48 0
normalized size 1 1. 1. 0.85 1.3 0. 2.4 0.
time (sec) N/A 0.019 0.002 0.059 1.238 0. 3.724 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 27 19 27 0 88 0
normalized size 1 1. 1.08 0.76 1.08 0. 3.52 0.
time (sec) N/A 0.02 0.002 0.057 1.239 0. 3.998 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 22 46 36 0 75 0
normalized size 1 1. 1.05 2.19 1.71 0. 3.57 0.
time (sec) N/A 0.021 0.002 0.06 1.52 0. 3.912 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 22 46 36 0 75 0
normalized size 1 1. 1.05 2.19 1.71 0. 3.57 0.
time (sec) N/A 0.021 0.002 0.066 1.78 0. 3.935 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 17 35 36 15 0
normalized size 1 1. 1. 1.21 2.5 2.57 1.07 0.
time (sec) N/A 0.018 0.002 0.061 1.383 2.065 3.453 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 16 17 20 42 14 24
normalized size 1 1. 0.94 1. 1.18 2.47 0.82 1.41
time (sec) N/A 0.011 0.001 0.059 1.186 1.923 0.275 1.206
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 27 26 35 0 54 0
normalized size 1 1. 1.04 1. 1.35 0. 2.08 0.
time (sec) N/A 0.022 0.002 0.065 1.74 0. 4.649 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 34 28 36 0 95 0
normalized size 1 1. 1.1 0.9 1.16 0. 3.06 0.
time (sec) N/A 0.023 0.002 0.06 1.51 0. 4.95 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 156 163 1300 177 397 260 462
normalized size 1 0.83 0.87 6.95 0.95 2.12 1.39 2.47
time (sec) N/A 0.192 0.048 0.534 1.226 2.011 3.736 1.19
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 193 186 1102 203 0 0 0
normalized size 1 1.09 1.05 6.23 1.15 0. 0. 0.
time (sec) N/A 0.306 0.057 0.546 1.223 0. 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 285 285 260 5345 290 756 517 845
normalized size 1 1. 0.91 18.75 1.02 2.65 1.81 2.96
time (sec) N/A 0.224 0.072 0.744 1.483 2.086 7.313 1.227
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 266 0 0 726 0 786
normalized size 1 1. 0.89 0. 0. 2.43 0. 2.63
time (sec) N/A 0.452 0.94 0.63 0. 1.994 0. 1.34
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 197 0 0 473 0 455
normalized size 1 1. 0.9 0. 0. 2.16 0. 2.08
time (sec) N/A 0.293 0.401 0.612 0. 2.087 0. 1.398
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 126 0 0 267 0 215
normalized size 1 1. 0.91 0. 0. 1.92 0. 1.55
time (sec) N/A 0.162 0.162 0.407 0. 2.025 0. 1.306
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F A F A
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 63 63 0 312 0 113 0 66
normalized size 1 1. 0. 4.95 0. 1.79 0. 1.05
time (sec) N/A 0.046 0.013 0.082 0. 1.924 0. 1.273
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.197 0.885 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.591 0.915 0. 0. 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 339 339 1674 0 0 1562 0 4691
normalized size 1 1. 4.94 0. 0. 4.61 0. 13.84
time (sec) N/A 0.788 1.016 3.807 0. 2.191 0. 1.848
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 1015 0 0 1025 0 2755
normalized size 1 1. 3.92 0. 0. 3.96 0. 10.64
time (sec) N/A 0.517 0.561 3.691 0. 2.097 0. 1.433
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 208 0 0 590 0 1328
normalized size 1 1. 1.18 0. 0. 3.33 0. 7.5
time (sec) N/A 0.248 0.287 3.636 0. 2.13 0. 1.34
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 123 457 0 292 0 414
normalized size 1 1. 1.28 4.76 0. 3.04 0. 4.31
time (sec) N/A 0.063 0.049 0.081 0. 2.17 0. 1.288
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.569 1.888 0. 0. 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 4.548 3.427 0. 0. 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 351 0 0 2404 0 11335
normalized size 1 1. 1. 0. 0. 6.85 0. 32.29
time (sec) N/A 0.865 1.485 3.762 0. 2.369 0. 2.04
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 256 0 0 1353 0 5554
normalized size 1 1. 0.98 0. 0. 5.18 0. 21.28
time (sec) N/A 0.36 0.417 3.707 0. 2.236 0. 1.578
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 118 735 0 632 0 1785
normalized size 1 1. 0.87 5.44 0. 4.68 0. 13.22
time (sec) N/A 0.08 0.053 0.091 0. 2.153 0. 1.367
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 1.219 3.516 0. 0. 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 4.844 8.084 0. 0. 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 404 404 374 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.701 0.514 0.796 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 235 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.341 0.287 0.566 0. 0. 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 106 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.049 0.06 0. 0. 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 1.159 0.891 0. 0. 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.319 0.889 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.216 0.36 0.892 0. 0. 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 526 526 446 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.812 1.085 0.73 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 282 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.426 0.434 0.511 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 127 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.134 0.058 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 2.048 0.97 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.884 0.88 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.832 0.915 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 660 660 511 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.984 1.717 0.722 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 413 413 326 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.508 0.693 0.487 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 152 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.166 0.06 0. 0. 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 2.019 0.949 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 6.822 0.846 0. 0. 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.235 6.119 0.878 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 383 383 331 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.728 0.417 0.741 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 252 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.516 0.242 0.704 0. 0. 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 164 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.273 0.14 0.472 0. 0. 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 80 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.016 0.061 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.08 0.93 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 422 422 1281 0 0 0 0 0
normalized size 1 1. 3.04 0. 0. 0. 0. 0.
time (sec) N/A 1.315 2.748 0.727 0. 0. 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 828 0 0 0 0 0
normalized size 1 1. 2.55 0. 0. 0. 0. 0.
time (sec) N/A 0.869 1.378 0.679 0. 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 338 0 0 0 0 0
normalized size 1 1. 1.54 0. 0. 0. 0. 0.
time (sec) N/A 0.403 0.807 0.466 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 139 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.095 0.084 0.059 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.248 0.936 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 520 520 2647 0 0 0 0 0
normalized size 1 1. 5.09 0. 0. 0. 0. 0.
time (sec) N/A 2.333 7.007 0.781 0. 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 421 421 527 0 0 0 0 0
normalized size 1 1. 1.25 0. 0. 0. 0. 0.
time (sec) N/A 1.399 4.527 0.681 0. 0. 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 311 311 353 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.564 1.907 0.474 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 163 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.169 0.06 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 0.552 0.97 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 137 0 0 1207 0 0
normalized size 1 1. 0.84 0. 0. 7.4 0. 0.
time (sec) N/A 0.163 0.222 1.185 0. 1.982 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 118 0 0 728 139 0
normalized size 1 1. 0.89 0. 0. 5.52 1.05 0.
time (sec) N/A 0.085 0.127 1.127 0. 1.873 4.524 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 83 148 0 432 326 149
normalized size 1 1. 0.86 1.53 0. 4.45 3.36 1.54
time (sec) N/A 0.059 0.08 0.331 0. 1.926 24.596 1.261
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 80 0 0 512 85 124
normalized size 1 1. 0.99 0. 0. 6.32 1.05 1.53
time (sec) N/A 0.053 0.164 0.926 0. 1.89 16.924 1.319
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 85 0 0 929 0 258
normalized size 1 1. 0.75 0. 0. 8.15 0. 2.26
time (sec) N/A 0.082 0.036 0.916 0. 1.996 0. 1.276
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 78 0 0 1678 0 0
normalized size 1 1. 0.54 0. 0. 11.57 0. 0.
time (sec) N/A 0.111 0.046 0.921 0. 2.109 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 78 0 0 2611 0 0
normalized size 1 1. 0.44 0. 0. 14.84 0. 0.
time (sec) N/A 0.144 0.05 0.9 0. 2.439 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 590 590 854 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 2.169 1.85 1.01 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 510 510 643 0 0 0 0 0
normalized size 1 1. 1.26 0. 0. 0. 0. 0.
time (sec) N/A 1.501 1.093 1.007 0. 0. 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 418 566 0 0 0 0 0
normalized size 1 1. 1.35 0. 0. 0. 0. 0.
time (sec) N/A 1.067 1.092 0.961 0. 0. 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 312 312 424 0 0 0 0 0
normalized size 1 1. 1.36 0. 0. 0. 0. 0.
time (sec) N/A 0.766 0.624 0.905 0. 0. 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 557 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 1.121 1.509 0.925 0. 0. 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 503 639 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 1.512 2.24 0.913 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 583 583 728 0 0 0 0 0
normalized size 1 1. 1.25 0. 0. 0. 0. 0.
time (sec) N/A 1.848 3.982 0.92 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 1.035 0.723 0. 0. 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.857 0.69 0. 0. 0. 0.
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 1.232 0.68 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 1.374 0.668 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.265 1.364 0.881 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.243 1.527 0.799 0. 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.257 1.287 0.777 0. 0. 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 5.106 0.803 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 2.807 0.841 0. 0. 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.744 0.841 0. 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 81 0 0 0 0 0
normalized size 1 1. 0.86 0. 0. 0. 0. 0.
time (sec) N/A 0.05 0.085 1.049 0. 0. 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.319 1.148 0. 0. 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 2.642 6.036 0. 0. 0. 0.
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 5.751 0.88 0. 0. 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.064 0.812 0. 0. 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 3.071 0.799 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 2.506 0.854 0. 0. 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.458 0.803 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 474 474 343 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.549 1.741 0.938 0. 0. 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 262 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.364 0.542 1.171 0. 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 181 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.205 0.207 0.957 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 103 0 0 143 0 0
normalized size 1 1. 1. 0. 0. 1.39 0. 0.
time (sec) N/A 0.06 0.06 0.429 0. 1.806 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.252 1.052 0. 0. 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 260 589 1057 1022 1019 636 921
normalized size 1 0.83 1.87 3.36 3.24 3.23 2.02 2.92
time (sec) N/A 0.506 0.548 0.064 1.257 1.763 2.792 1.204
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 204 375 685 728 652 400 597
normalized size 1 0.84 1.54 2.81 2.98 2.67 1.64 2.45
time (sec) N/A 0.384 0.303 0.065 1.173 1.794 2.133 1.189
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 133 214 387 474 366 216 325
normalized size 1 0.85 1.36 2.46 3.02 2.33 1.38 2.07
time (sec) N/A 0.263 0.146 0.062 1.226 1.698 1.419 1.211
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 66 163 271 163 82 147
normalized size 1 1. 0.84 2.06 3.43 2.06 1.04 1.86
time (sec) N/A 0.129 0.052 0.06 1.118 1.62 0.89 1.172
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 39 136 77 31 46
normalized size 1 1. 1. 1.44 5.04 2.85 1.15 1.7
time (sec) N/A 0.034 0.004 0.062 1.13 1.656 0.367 1.195
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 116 91 197 0 0 0 0
normalized size 1 1.33 1.05 2.26 0. 0. 0. 0.
time (sec) N/A 0.234 0.065 0.489 0. 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 181 141 355 0 0 0 0
normalized size 1 1.2 0.93 2.35 0. 0. 0. 0.
time (sec) N/A 0.364 0.154 0.563 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 282 226 656 0 0 0 0
normalized size 1 1.13 0.9 2.62 0. 0. 0. 0.
time (sec) N/A 0.572 0.228 0.476 0. 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 579 672 374 2310 1926 2012 1394 2192
normalized size 1 1.16 0.65 3.99 3.33 3.47 2.41 3.79
time (sec) N/A 1.674 0.565 0.066 1.366 1.925 5.918 1.208
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 464 459 267 1485 1301 1278 865 1405
normalized size 1 0.99 0.58 3.2 2.8 2.75 1.86 3.03
time (sec) N/A 0.981 0.305 0.064 1.351 1.803 4.23 1.189
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 171 825 791 709 452 756
normalized size 1 1. 0.72 3.47 3.32 2.98 1.9 3.18
time (sec) N/A 0.513 0.159 0.068 1.292 1.603 2.791 1.18
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 89 341 410 311 168 324
normalized size 1 1. 0.79 3.02 3.63 2.75 1.49 2.87
time (sec) N/A 0.202 0.057 0.062 1.248 1.6 1.702 1.174
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 63 173 119 51 72
normalized size 1 1. 1. 2.33 6.41 4.41 1.89 2.67
time (sec) N/A 0.06 0.004 0.06 1.161 1.715 0.486 1.207
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 168 189 383 447 0 0 0
normalized size 1 1.18 1.33 2.7 3.15 0. 0. 0.
time (sec) N/A 0.383 0.193 0.363 1.265 0. 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 300 360 0 840 0 0 0
normalized size 1 1.1 1.32 0. 3.08 0. 0. 0.
time (sec) N/A 0.637 0.518 2.26 1.43 0. 0. 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 485 453 680 0 1716 0 0 0
normalized size 1 0.93 1.4 0. 3.54 0. 0. 0.
time (sec) N/A 1.092 0.885 2.142 2.045 0. 0. 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 397 0 0 851 0 0
normalized size 1 1. 1.73 0. 0. 3.7 0. 0.
time (sec) N/A 0.668 0.853 0.761 0. 1.705 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 279 0 0 562 0 0
normalized size 1 1. 1.58 0. 0. 3.18 0. 0.
time (sec) N/A 0.484 0.482 0.721 0. 1.66 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 137 0 0 332 0 0
normalized size 1 1. 1.1 0. 0. 2.68 0. 0.
time (sec) N/A 0.379 0.285 0.738 0. 1.552 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 76 0 0 157 0 0
normalized size 1 1. 1.07 0. 0. 2.21 0. 0.
time (sec) N/A 0.218 0.143 0.529 0. 1.684 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 25 39 50 17 113
normalized size 1 1. 1. 1.09 1.7 2.17 0.74 4.91
time (sec) N/A 0.066 0.017 0.066 1.183 1.654 0.215 1.23
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 71 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.241 0.39 0.946 0. 0. 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 113 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.295 4.011 0.918 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 485 485 818 0 0 0 0 0
normalized size 1 1. 1.69 0. 0. 0. 0. 0.
time (sec) N/A 2.045 1.095 1.205 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 417 417 607 0 0 0 0 0
normalized size 1 1. 1.46 0. 0. 0. 0. 0.
time (sec) N/A 1.378 0.973 1.135 0. 0. 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 534 0 0 0 0 0
normalized size 1 1. 1.53 0. 0. 0. 0. 0.
time (sec) N/A 0.986 0.501 1.235 0. 0. 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 457 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 0.694 0.22 1.168 0. 0. 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 526 0 0 0 0 0
normalized size 1 1. 1.55 0. 0. 0. 0. 0.
time (sec) N/A 1.026 0.52 1.152 0. 0. 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 406 406 608 0 0 0 0 0
normalized size 1 1. 1.5 0. 0. 0. 0. 0.
time (sec) N/A 1.388 0.781 1.162 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 663 0 0 0 0 0
normalized size 1 1. 1.74 0. 0. 0. 0. 0.
time (sec) N/A 1.53 1.029 180. 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 534 0 0 0 0 0
normalized size 1 1. 1.65 0. 0. 0. 0. 0.
time (sec) N/A 0.913 0.357 0.835 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 239 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.645 2.693 0.842 0. 0. 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 550 0 0 0 0 0
normalized size 1 1. 1.74 0. 0. 0. 0. 0.
time (sec) N/A 0.945 0.431 0.86 0. 0. 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 372 568 0 0 0 0 0
normalized size 1 1. 1.53 0. 0. 0. 0. 0.
time (sec) N/A 1.257 0.866 0.865 0. 0. 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.603 1.629 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 247 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.664 1.304 0.678 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 189 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.472 0.507 0.836 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 106 0 0 270 0 0
normalized size 1 1. 0.92 0. 0. 2.35 0. 0.
time (sec) N/A 0.282 0.223 0.487 0. 1.824 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 32 0 96 0 43
normalized size 1 1. 1. 1.03 0. 3.1 0. 1.39
time (sec) N/A 0.075 0.012 0.064 0. 1.802 0. 1.245
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.611 0.974 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.535 0.831 0. 0. 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.7 0.862 0. 0. 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 402 402 379 2801 0 0 0 0
normalized size 1 1. 0.94 6.97 0. 0. 0. 0.
time (sec) N/A 0.364 0.58 0.602 0. 0. 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 224 1605 0 0 0 0
normalized size 1 1. 0.93 6.66 0. 0. 0. 0.
time (sec) N/A 0.223 0.262 0.536 0. 0. 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 110 750 0 0 0 0
normalized size 1 1. 0.92 6.3 0. 0. 0. 0.
time (sec) N/A 0.139 0.109 0.599 0. 0. 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 261 0 0 0 0
normalized size 1 1. 0.98 4.14 0. 0. 0. 0.
time (sec) N/A 0.045 0.007 0.115 0. 0. 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 111 647 0 0 0 0
normalized size 1 1. 0.72 4.17 0. 0. 0. 0.
time (sec) N/A 0.195 0.062 0.74 0. 0. 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 196 970 0 0 0 0
normalized size 1 1. 0.78 3.85 0. 0. 0. 0.
time (sec) N/A 0.259 0.25 0.735 0. 0. 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 402 402 311 1468 0 0 0 0
normalized size 1 1. 0.77 3.65 0. 0. 0. 0.
time (sec) N/A 0.371 0.42 0.695 0. 0. 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 469 469 876 0 0 0 0 0
normalized size 1 1. 1.87 0. 0. 0. 0. 0.
time (sec) N/A 0.555 0.552 1.678 0. 0. 0. 0.
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 460 0 0 0 0 0
normalized size 1 1. 2.14 0. 0. 0. 0. 0.
time (sec) N/A 0.274 0.308 1.785 0. 0. 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 226 2018 0 0 0 0
normalized size 1 1. 2.04 18.18 0. 0. 0. 0.
time (sec) N/A 0.114 0.236 0.075 0. 0. 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 353 4712 0 0 0 0
normalized size 1 1. 1.34 17.85 0. 0. 0. 0.
time (sec) N/A 0.371 0.287 0.912 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 427 630 0 0 0 0 0
normalized size 1 1. 1.48 0. 0. 0. 0. 0.
time (sec) N/A 0.491 0.793 1.826 0. 0. 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 660 660 1521 0 0 0 0 0
normalized size 1 1. 2.3 0. 0. 0. 0. 0.
time (sec) N/A 0.734 0.862 2.272 0. 0. 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 799 0 0 0 0 0
normalized size 1 1. 2.59 0. 0. 0. 0. 0.
time (sec) N/A 0.364 0.378 2.141 0. 0. 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 335 9538 0 0 0 0
normalized size 1 1. 2.12 60.37 0. 0. 0. 0.
time (sec) N/A 0.18 0.174 0.194 0. 0. 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 372 599 21696 0 0 0 0
normalized size 1 1. 1.61 58.32 0. 0. 0. 0.
time (sec) N/A 0.522 0.43 2.11 0. 0. 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 602 602 1025 0 0 0 0 0
normalized size 1 1. 1.7 0. 0. 0. 0. 0.
time (sec) N/A 0.725 1.438 1.974 0. 0. 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 106 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.176 0.23 0.872 0. 0. 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.023 0.059 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.189 0.844 1.563 0. 0. 0. 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 120 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.234 3.069 1.711 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 142 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.196 1.194 2.901 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 0.077 0.06 0. 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.183 12.675 15.503 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 120 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.224 26.641 21.281 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 241 1000 0 0 0 0
normalized size 1 1. 0.86 3.56 0. 0. 0. 0.
time (sec) N/A 0.278 0.271 0.569 0. 0. 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 170 724 0 0 0 0
normalized size 1 1. 0.94 4. 0. 0. 0. 0.
time (sec) N/A 0.193 0.137 0.561 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 95 463 0 0 0 0
normalized size 1 1. 0.91 4.45 0. 0. 0. 0.
time (sec) N/A 0.131 0.072 0.588 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 261 0 0 0 0
normalized size 1 1. 0.98 4.14 0. 0. 0. 0.
time (sec) N/A 0.048 0.007 0.11 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 85 455 0 0 0 0
normalized size 1 1. 0.79 4.25 0. 0. 0. 0.
time (sec) N/A 0.144 0.037 0.515 0. 0. 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 141 669 0 0 0 0
normalized size 1 1. 0.87 4.13 0. 0. 0. 0.
time (sec) N/A 0.191 0.084 0.547 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 208 926 0 0 0 0
normalized size 1 1. 0.83 3.7 0. 0. 0. 0.
time (sec) N/A 0.252 0.218 0.533 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 220 1063 0 0 0 0
normalized size 1 1. 0.83 4.01 0. 0. 0. 0.
time (sec) N/A 0.26 0.325 0.565 0. 0. 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 153 791 0 0 0 0
normalized size 1 1. 0.82 4.25 0. 0. 0. 0.
time (sec) N/A 0.203 0.153 0.566 0. 0. 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 114 519 0 0 0 0
normalized size 1 1. 0.83 3.76 0. 0. 0. 0.
time (sec) N/A 0.152 0.109 0.504 0. 0. 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 57 354 115 215 0 150
normalized size 1 1. 0.77 4.78 1.55 2.91 0. 2.03
time (sec) N/A 0.028 0.066 0.077 1.153 1.787 0. 1.285
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 152 694 0 0 0 0
normalized size 1 1. 0.85 3.88 0. 0. 0. 0.
time (sec) N/A 0.202 0.139 0.543 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 199 936 0 0 0 0
normalized size 1 1. 0.83 3.9 0. 0. 0. 0.
time (sec) N/A 0.244 0.208 0.519 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 269 1224 0 0 0 0
normalized size 1 1. 0.8 3.65 0. 0. 0. 0.
time (sec) N/A 0.314 0.4 0.536 0. 0. 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 397 397 331 905 0 0 0 0
normalized size 1 1. 0.83 2.28 0. 0. 0. 0.
time (sec) N/A 0.51 0.287 0.518 0. 0. 0. 0.
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 243 631 0 0 0 0
normalized size 1 1. 0.87 2.27 0. 0. 0. 0.
time (sec) N/A 0.325 0.172 0.456 0. 0. 0. 0.
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 172 411 0 0 0 0
normalized size 1 1. 0.85 2.02 0. 0. 0. 0.
time (sec) N/A 0.18 0.037 0.395 0. 0. 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 224 604 0 0 0 0
normalized size 1 1. 0.91 2.47 0. 0. 0. 0.
time (sec) N/A 0.316 0.087 0.402 0. 0. 0. 0.
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 279 841 0 0 0 0
normalized size 1 1. 0.84 2.54 0. 0. 0. 0.
time (sec) N/A 0.368 0.179 0.417 0. 0. 0. 0.
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 369 339 982 0 0 0 0
normalized size 1 1. 0.92 2.66 0. 0. 0. 0.
time (sec) N/A 0.395 0.339 0.5 0. 0. 0. 0.
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 263 710 0 0 0 0
normalized size 1 1. 0.95 2.57 0. 0. 0. 0.
time (sec) N/A 0.309 0.136 0.454 0. 0. 0. 0.
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 184 474 0 0 0 0
normalized size 1 1. 0.77 1.98 0. 0. 0. 0.
time (sec) N/A 0.168 0.047 0.529 0. 0. 0. 0.
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 280 722 0 0 0 0
normalized size 1 1. 0.97 2.49 0. 0. 0. 0.
time (sec) N/A 0.316 0.17 0.514 0. 0. 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 388 388 350 983 0 0 0 0
normalized size 1 1. 0.9 2.53 0. 0. 0. 0.
time (sec) N/A 0.376 0.349 0.602 0. 0. 0. 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 417 417 530 1008 0 0 0 0
normalized size 1 1. 1.27 2.42 0. 0. 0. 0.
time (sec) N/A 0.487 1.189 0.462 0. 0. 0. 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 455 726 0 0 0 0
normalized size 1 1. 1.32 2.11 0. 0. 0. 0.
time (sec) N/A 0.407 0.882 0.408 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 165 765 0 817 0 294
normalized size 1 1. 1.19 5.5 0. 5.88 0. 2.12
time (sec) N/A 0.078 0.16 0.529 0. 1.95 0. 1.38
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 383 383 521 910 0 0 0 0
normalized size 1 1. 1.36 2.38 0. 0. 0. 0.
time (sec) N/A 0.453 1.145 0.423 0. 0. 0. 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 460 460 596 1165 0 0 0 0
normalized size 1 1. 1.3 2.53 0. 0. 0. 0.
time (sec) N/A 0.517 1.329 0.431 0. 0. 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 534 534 434 2021 0 0 0 0
normalized size 1 1. 0.81 3.78 0. 0. 0. 0.
time (sec) N/A 0.93 0.956 0.549 0. 0. 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 491 491 383 1781 0 0 0 0
normalized size 1 1. 0.78 3.63 0. 0. 0. 0.
time (sec) N/A 0.76 0.882 0.619 0. 0. 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 503 407 1666 0 0 0 0
normalized size 1 1. 0.81 3.31 0. 0. 0. 0.
time (sec) N/A 0.394 1.4 0.61 0. 0. 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 560 560 476 2032 0 0 0 0
normalized size 1 1. 0.85 3.63 0. 0. 0. 0.
time (sec) N/A 0.819 0.954 0.654 0. 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 275 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.421 0.232 0.852 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 506 506 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.557 3.605 0.822 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 307 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 0.474 0.028 1.102 0. 0. 0. 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 510 510 1077 0 0 0 0 0
normalized size 1 1. 2.11 0. 0. 0. 0. 0.
time (sec) N/A 0.644 4.327 1.158 0. 0. 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 27 20 162 50 0 0
normalized size 1 1. 1.12 0.83 6.75 2.08 0. 0.
time (sec) N/A 0.031 0.006 0.06 1.196 1.601 0. 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 81 84 161 0 0 0
normalized size 1 1. 1.93 2. 3.83 0. 0. 0.
time (sec) N/A 0.054 0.016 0.062 1.095 0. 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 82 44 0 101 0 0
normalized size 1 1. 2. 1.07 0. 2.46 0. 0.
time (sec) N/A 0.061 0.032 0.063 0. 1.752 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 80 109 0 0 0 0
normalized size 1 1. 1.7 2.32 0. 0. 0. 0.
time (sec) N/A 0.065 0.025 0.063 0. 0. 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 345 153 0 0 0 0
normalized size 1 1. 0.93 0.41 0. 0. 0. 0.
time (sec) N/A 0.596 0.328 0.39 0. 0. 0. 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 297 77 0 0 0 0
normalized size 1 1. 1.02 0.26 0. 0. 0. 0.
time (sec) N/A 0.277 0.053 0.383 0. 0. 0. 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 324 324 330 108 0 0 0 0
normalized size 1 1. 1.02 0.33 0. 0. 0. 0.
time (sec) N/A 0.429 0.089 0.378 0. 0. 0. 0.
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 405 185 0 0 0 0
normalized size 1 1. 0.98 0.45 0. 0. 0. 0.
time (sec) N/A 0.496 0.139 0.417 0. 0. 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 403 148 0 0 0 0
normalized size 1 1. 0.97 0.36 0. 0. 0. 0.
time (sec) N/A 0.701 0.323 0.373 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 383 383 369 136 0 0 0 0
normalized size 1 1. 0.96 0.36 0. 0. 0. 0.
time (sec) N/A 0.446 0.132 0.384 0. 0. 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 297 86 0 0 0 0
normalized size 1 1. 0.83 0.24 0. 0. 0. 0.
time (sec) N/A 0.315 0.087 0.38 0. 0. 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 294 94 0 0 0 0
normalized size 1 1. 0.82 0.26 0. 0. 0. 0.
time (sec) N/A 0.239 0.07 0.377 0. 0. 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 398 398 378 128 0 0 0 0
normalized size 1 1. 0.95 0.32 0. 0. 0. 0.
time (sec) N/A 0.494 0.137 0.41 0. 0. 0. 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 423 371 153 0 0 0 0
normalized size 1 1. 0.88 0.36 0. 0. 0. 0.
time (sec) N/A 0.438 0.222 0.433 0. 0. 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 498 498 446 175 0 0 0 0
normalized size 1 1. 0.9 0.35 0. 0. 0. 0.
time (sec) N/A 0.81 0.321 0.385 0. 0. 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 401 401 383 85 0 0 0 0
normalized size 1 1. 0.96 0.21 0. 0. 0. 0.
time (sec) N/A 0.46 0.061 0.378 0. 0. 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 433 433 416 116 0 0 0 0
normalized size 1 1. 0.96 0.27 0. 0. 0. 0.
time (sec) N/A 0.595 0.102 0.394 0. 0. 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 530 530 484 164 0 0 0 0
normalized size 1 1. 0.91 0.31 0. 0. 0. 0.
time (sec) N/A 0.648 0.222 0.376 0. 0. 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 473 473 348 102 0 0 0 0
normalized size 1 1. 0.74 0.22 0. 0. 0. 0.
time (sec) N/A 0.473 0.11 0.371 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 537 537 506 161 0 0 0 0
normalized size 1 1. 0.94 0.3 0. 0. 0. 0.
time (sec) N/A 0.651 0.196 0.422 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 521 521 458 154 0 0 0 0
normalized size 1 1. 0.88 0.3 0. 0. 0. 0.
time (sec) N/A 0.756 0.236 0.385 0. 0. 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 497 497 464 94 0 0 0 0
normalized size 1 1. 0.93 0.19 0. 0. 0. 0.
time (sec) N/A 0.541 0.276 0.385 0. 0. 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 497 497 359 112 0 0 0 0
normalized size 1 1. 0.72 0.23 0. 0. 0. 0.
time (sec) N/A 0.416 0.105 0.38 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 536 525 136 0 0 0 0
normalized size 1 1. 0.98 0.25 0. 0. 0. 0.
time (sec) N/A 0.816 0.602 0.421 0. 0. 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 101 101 138 267 148 251
normalized size 1 1. 1.11 1.11 1.52 2.93 1.63 2.76
time (sec) N/A 0.064 0.056 0.086 1.056 1.959 2.918 1.232
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 150 585 252 474 277 581
normalized size 1 1. 1.25 4.88 2.1 3.95 2.31 4.84
time (sec) N/A 0.113 0.14 0.465 1.107 1.905 11.07 1.297
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 226 836 383 713 450 1053
normalized size 1 1. 1.52 5.61 2.57 4.79 3.02 7.07
time (sec) N/A 0.123 0.208 0.481 1.148 1.96 42.562 1.334
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 62 261 0 0 0 0
normalized size 1 1. 0.98 4.14 0. 0. 0. 0.
time (sec) N/A 0.1 0.013 0.584 0. 0. 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 57 354 116 215 0 150
normalized size 1 1. 0.77 4.78 1.57 2.91 0. 2.03
time (sec) N/A 0.083 0.069 0.314 1.101 2.031 0. 1.305
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 83 633 228 579 0 408
normalized size 1 1. 0.74 5.65 2.04 5.17 0. 3.64
time (sec) N/A 0.118 0.102 0.347 1.114 2.015 0. 1.179
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 247 248 0 0 0 0
normalized size 1 1. 1. 1. 0. 0. 0. 0.
time (sec) N/A 0.337 0.179 0.07 0. 0. 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 831 752 862 0 0 0 0 0
normalized size 1 0.9 1.04 0. 0. 0. 0. 0.
time (sec) N/A 1.085 1.02 1.493 0. 0. 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 499 499 637 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.688 0.465 1.504 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 317 464 0 0 0 0 0
normalized size 1 1. 1.46 0. 0. 0. 0. 0.
time (sec) N/A 0.371 0.261 1.071 0. 0. 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 397 397 576 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 0.597 0.374 1.168 0. 0. 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 551 575 811 0 0 0 0 0
normalized size 1 1.04 1.47 0. 0. 0. 0. 0.
time (sec) N/A 0.946 0.722 1.353 0. 0. 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 701 646 821 0 0 0 0 0
normalized size 1 0.92 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.922 0.901 7.023 0. 0. 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 447 447 623 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.592 0.62 12.529 0. 0. 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 485 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.376 0.326 3.872 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 461 461 668 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 0.634 0.494 20.142 0. 0. 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 694 717 930 0 0 0 0 0
normalized size 1 1.03 1.34 0. 0. 0. 0. 0.
time (sec) N/A 1.114 0.791 9.815 0. 0. 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 936 936 1254 0 0 0 0 0
normalized size 1 1. 1.34 0. 0. 0. 0. 0.
time (sec) N/A 1.53 2.765 1.707 0. 0. 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 739 739 1103 0 0 0 0 0
normalized size 1 1. 1.49 0. 0. 0. 0. 0.
time (sec) N/A 1.195 2.3 1.322 0. 0. 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 430 430 590 2134 0 0 0 0
normalized size 1 1. 1.37 4.96 0. 0. 0. 0.
time (sec) N/A 0.547 0.565 0.64 0. 0. 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 814 814 1209 0 0 0 0 0
normalized size 1 1. 1.49 0. 0. 0. 0. 0.
time (sec) N/A 1.3 2.032 1.363 0. 0. 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 970 994 1391 0 0 0 0 0
normalized size 1 1.02 1.43 0. 0. 0. 0. 0.
time (sec) N/A 1.653 2.936 1.444 0. 0. 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 897 897 1237 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 1.784 3.02 3.694 0. 0. 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 815 815 1132 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 1.544 2.421 12.387 0. 0. 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 821 821 1143 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.846 2.623 11.023 0. 0. 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 919 919 1304 0 0 0 0 0
normalized size 1 1. 1.42 0. 0. 0. 0. 0.
time (sec) N/A 1.613 3.194 5.175 0. 0. 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 477 477 754 0 0 0 0 0
normalized size 1 1. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 0.537 0.275 4.885 0. 0. 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 347 347 488 0 0 0 0 0
normalized size 1 1. 1.41 0. 0. 0. 0. 0.
time (sec) N/A 0.316 0.153 4.311 0. 0. 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 178 419 0 0 0 0
normalized size 1 1. 0.78 1.83 0. 0. 0. 0.
time (sec) N/A 0.164 0.091 0.405 0. 0. 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.396 0.838 0. 0. 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 24 0 63 0 0
normalized size 1 1. 1.07 0.89 0. 2.33 0. 0.
time (sec) N/A 0.13 0.02 0.067 0. 1.562 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 24 0 63 0 0
normalized size 1 1. 1.07 0.89 0. 2.33 0. 0.
time (sec) N/A 0.18 0.007 0.065 0. 1.576 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 31 28 0 72 0 0
normalized size 1 1. 1.11 1. 0. 2.57 0. 0.
time (sec) N/A 0.135 0.023 0.065 0. 1.748 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 31 28 0 72 0 0
normalized size 1 1. 1.11 1. 0. 2.57 0. 0.
time (sec) N/A 0.183 0.007 0.064 0. 1.664 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 27 20 162 50 0 0
normalized size 1 1. 1.12 0.83 6.75 2.08 0. 0.
time (sec) N/A 0.031 0.006 0.063 1.037 1.68 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 27 20 162 50 0 0
normalized size 1 1. 1.12 0.83 6.75 2.08 0. 0.
time (sec) N/A 0.133 0.004 0.062 1.101 1.617 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 252 24 332 76 0 0
normalized size 1 1. 6.81 0.65 8.97 2.05 0. 0.
time (sec) N/A 0.025 0.187 0.064 1.265 1.61 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 252 24 332 76 0 0
normalized size 1 1. 9.33 0.89 12.3 2.81 0. 0.
time (sec) N/A 0.074 0.148 0.06 1.192 1.666 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 252 24 328 76 0 0
normalized size 1 1. 9.33 0.89 12.15 2.81 0. 0.
time (sec) N/A 0.02 0.136 0.064 1.136 1.612 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 252 24 328 76 0 0
normalized size 1 1. 9.33 0.89 12.15 2.81 0. 0.
time (sec) N/A 0.127 0.149 0.066 1.123 1.556 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 494 12205 0 0 0 0
normalized size 1 1. 2.08 51.28 0. 0. 0. 0.
time (sec) N/A 0.351 0.211 1.178 0. 0. 0. 0.
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 292 2679 0 0 0 0
normalized size 1 1. 1.74 15.95 0. 0. 0. 0.
time (sec) N/A 0.248 0.134 0.793 0. 0. 0. 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 98 420 166 0 0 0
normalized size 1 1. 1.01 4.33 1.71 0. 0. 0.
time (sec) N/A 0.124 0.022 0.519 1.332 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 51 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.625 0.825 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 500 500 993 0 0 0 0 0
normalized size 1 1. 1.99 0. 0. 0. 0. 0.
time (sec) N/A 0.701 0.719 12.324 0. 0. 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 372 655 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.406 0.414 9.795 0. 0. 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 243 194 689 0 0 0 0
normalized size 1 1. 0.8 2.84 0. 0. 0. 0.
time (sec) N/A 0.229 0.182 0.446 0. 0. 0. 0.
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 103 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.565 1.796 0. 0. 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 464 791 0 0 0 0
normalized size 1 1. 1.62 2.77 0. 0. 0. 0.
time (sec) N/A 0.443 0.651 0.069 0. 0. 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 434 593 0 0 0 0
normalized size 1 1. 1.85 2.53 0. 0. 0. 0.
time (sec) N/A 0.355 0.255 0.063 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 210 361 0 0 0 0
normalized size 1 1. 1.09 1.87 0. 0. 0. 0.
time (sec) N/A 0.181 0.132 0.065 0. 0. 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 144 177 0 0 0 0
normalized size 1 1. 0.94 1.16 0. 0. 0. 0.
time (sec) N/A 0.137 0.056 0.066 0. 0. 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 227 375 0 0 0 0
normalized size 1 1. 1.11 1.84 0. 0. 0. 0.
time (sec) N/A 0.282 0.205 0.068 0. 0. 0. 0.
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 255 608 0 0 0 0
normalized size 1 1. 1.02 2.42 0. 0. 0. 0.
time (sec) N/A 0.391 0.365 0.069 0. 0. 0. 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 311 816 0 0 0 0
normalized size 1 1. 1.01 2.65 0. 0. 0. 0.
time (sec) N/A 0.512 0.45 0.067 0. 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 221 2330 312 0 0 0
normalized size 1 1. 0.95 10.04 1.34 0. 0. 0.
time (sec) N/A 0.22 0.191 1.115 1.26 0. 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 197 2162 279 0 0 0
normalized size 1 1. 1.01 11.09 1.43 0. 0. 0.
time (sec) N/A 0.183 0.188 1.02 1.207 0. 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 164 1994 240 0 0 0
normalized size 1 1. 1.04 12.62 1.52 0. 0. 0.
time (sec) N/A 0.138 0.129 1.031 1.255 0. 0. 0.
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 116 1724 188 0 0 0
normalized size 1 1. 1.17 17.41 1.9 0. 0. 0.
time (sec) N/A 0.094 0.078 0.938 1.224 0. 0. 0.
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 128 1749 0 0 0 0
normalized size 1 1. 1.45 19.88 0. 0. 0. 0.
time (sec) N/A 0.074 0.068 0.6 0. 0. 0. 0.
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 120 111 1859 219 0 0 0
normalized size 1 1.18 1.09 18.23 2.15 0. 0. 0.
time (sec) N/A 0.095 0.109 0.796 1.241 0. 0. 0.
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 175 204 2051 267 0 0 0
normalized size 1 1.12 1.31 13.15 1.71 0. 0. 0.
time (sec) N/A 0.151 0.125 0.841 1.23 0. 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 212 240 2220 309 0 0 0
normalized size 1 1.1 1.24 11.5 1.6 0. 0. 0.
time (sec) N/A 0.181 0.144 0.874 1.235 0. 0. 0.
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 249 273 2387 342 0 0 0
normalized size 1 1.08 1.19 10.38 1.49 0. 0. 0.
time (sec) N/A 0.219 0.15 0.89 1.258 0. 0. 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 705 902 735 0 0 0 0 0
normalized size 1 1.28 1.04 0. 0. 0. 0. 0.
time (sec) N/A 2.189 1.606 1.685 0. 0. 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 602 602 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.293 0.383 2.195 0. 0. 0. 0.
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 549 0 0 0 0 0
normalized size 1 1. 1.78 0. 0. 0. 0. 0.
time (sec) N/A 0.453 0.474 1.871 0. 0. 0. 0.
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 823 0 823 0 0 0 0 0
normalized size 1 0. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.387 1.754 0. 0. 0. 0.
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 607 0 513 0 0 0 0 0
normalized size 1 0. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.754 1.373 0. 0. 0. 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F F F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 939 0 781 0 0 0 0 0
normalized size 1 0. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.03 1.175 1.454 0. 0. 0. 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 522 522 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.858 0.486 2.416 0. 0. 0. 0.
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F F F F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 519 0 519 0 0 0 0 0
normalized size 1 0. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.095 0.083 0. 0. 0. 0.
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.042 2.376 0. 0. 0. 0.
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.462 10.89 0. 0. 0. 0.
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.01 0.09 0.952 0. 0. 0. 0.
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 364 394 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.094 0.075 0. 0. 0. 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 342 1785 370 733 508 1021
normalized size 1 1. 1.33 6.92 1.43 2.84 1.97 3.96
time (sec) N/A 0.435 0.084 0.603 1.131 1.965 5.479 1.293
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 206 263 1558 302 554 389 644
normalized size 1 1.05 1.34 7.95 1.54 2.83 1.98 3.29
time (sec) N/A 0.371 0.048 0.603 1.057 2.16 3.044 1.365
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 130 76 156 223 365 257 289
normalized size 1 1.18 0.69 1.42 2.03 3.32 2.34 2.63
time (sec) N/A 0.222 0.024 0.086 1.128 1.919 1.449 1.255
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 219 227 1534 0 0 0 0
normalized size 1 1.39 1.44 9.71 0. 0. 0. 0.
time (sec) N/A 0.326 0.063 0.6 0. 0. 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 169 180 931 0 0 0 0
normalized size 1 1.76 1.88 9.7 0. 0. 0. 0.
time (sec) N/A 0.346 0.028 0.577 0. 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 265 254 1201 0 0 0 0
normalized size 1 1.7 1.63 7.7 0. 0. 0. 0.
time (sec) N/A 0.557 0.129 0.593 0. 0. 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 365 351 1437 0 0 0 0
normalized size 1 1.56 1.5 6.14 0. 0. 0. 0.
time (sec) N/A 0.822 0.176 0.539 0. 0. 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 742 742 605 4217 0 0 0 0
normalized size 1 1. 0.82 5.68 0. 0. 0. 0.
time (sec) N/A 0.872 1.219 2.398 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 492 3680 0 0 0 0
normalized size 1 1. 0.88 6.59 0. 0. 0. 0.
time (sec) N/A 0.609 0.922 1.842 0. 0. 0. 0.
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 397 397 341 3163 0 0 0 0
normalized size 1 1. 0.86 7.97 0. 0. 0. 0.
time (sec) N/A 0.433 0.638 1.639 0. 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 329 2544 0 0 0 0
normalized size 1 1. 1.42 10.97 0. 0. 0. 0.
time (sec) N/A 0.285 0.226 1.346 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 637 637 605 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.433 0.344 1.334 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 476 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.333 0.23 1.977 0. 0. 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 421 421 765 0 0 0 0 0
normalized size 1 1. 1.82 0. 0. 0. 0. 0.
time (sec) N/A 0.455 0.418 1.299 0. 0. 0. 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1210 1179 2067 0 0 0 0 0
normalized size 1 0.97 1.71 0. 0. 0. 0. 0.
time (sec) N/A 2.79 0.943 4.207 0. 0. 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 649 649 1355 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 1.481 0.533 2.82 0. 0. 0. 0.
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.692 1.535 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.865 1.424 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2050 2050 4971 0 0 0 0 0
normalized size 1 1. 2.42 0. 0. 0. 0. 0.
time (sec) N/A 6.891 3.387 2.901 0. 0. 0. 0.
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1147 1147 3163 0 0 0 0 0
normalized size 1 1. 2.76 0. 0. 0. 0. 0.
time (sec) N/A 3.123 1.053 4.523 0. 0. 0. 0.
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 1.27 1.802 0. 0. 0. 0.
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 1.769 2.023 0. 0. 0. 0.
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 62 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.104 2.107 0. 0. 0. 0.
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 43 116 134 105 56 86
normalized size 1 1. 0.47 1.26 1.46 1.14 0.61 0.93
time (sec) N/A 0.095 0.065 0.06 1.035 2.328 0.422 1.237
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 58 184 215 143 75 104
normalized size 1 1. 0.57 1.8 2.11 1.4 0.74 1.02
time (sec) N/A 0.111 0.104 0.065 1.083 2.294 0.449 1.251
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 132 0 755 2973 2390 2433
normalized size 1 1. 0.82 0. 4.72 18.58 14.94 15.21
time (sec) N/A 0.201 0.066 0.516 1.176 2.83 26.086 1.316
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 100 0 428 1374 1023 1110
normalized size 1 1. 0.83 0. 3.54 11.36 8.45 9.17
time (sec) N/A 0.141 0.013 0.093 1.158 2.454 9.337 1.231
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 69 0 200 516 343 409
normalized size 1 1. 0.88 0. 2.56 6.62 4.4 5.24
time (sec) N/A 0.094 0.01 0.095 1.103 2.29 3.272 1.228
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 42 61 124 58 86
normalized size 1 1. 1. 1.24 1.79 3.65 1.71 2.53
time (sec) N/A 0.032 0.007 0.066 1.122 2.276 0.921 1.237
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 83 0 0 157 0 107
normalized size 1 1. 1. 0. 0. 1.89 0. 1.29
time (sec) N/A 0.132 0.111 0.082 0. 2.215 0. 1.198
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 163 0 0 425 0 801
normalized size 1 1. 1.33 0. 0. 3.46 0. 6.51
time (sec) N/A 0.168 0.11 0.087 0. 2.253 0. 1.243
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 189 0 0 1053 0 4699
normalized size 1 1. 1.12 0. 0. 6.23 0. 27.8
time (sec) N/A 0.223 0.181 0.083 0. 2.275 0. 1.403
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 190 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.368 0.311 0.6 0. 0. 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 160 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.276 0.061 0.566 0. 0. 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 134 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.22 0.062 0.081 0. 0. 0. 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 104 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.182 0.021 0.089 0. 0. 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 181 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.246 0.214 0.57 0. 0. 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 211 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.312 0.315 0.549 0. 0. 0. 0.
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 272 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.385 0.42 0.554 0. 0. 0. 0.
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 131 0 0 192 0 0
normalized size 1 1. 1. 0. 0. 1.47 0. 0.
time (sec) N/A 0.147 0.163 0.145 0. 2.455 0. 0.
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 109 0 95 0 0 0
normalized size 1 1. 1. 0. 0.87 0. 0. 0.
time (sec) N/A 0.139 0.109 0.426 1.319 0. 0. 0.
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 232 0 410 861 546 1413
normalized size 1 1. 1.47 0. 2.59 5.45 3.46 8.94
time (sec) N/A 0.164 0.292 0.662 1.124 2.08 24.796 1.236
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 156 0 273 583 342 790
normalized size 1 1. 1.22 0. 2.13 4.55 2.67 6.17
time (sec) N/A 0.125 0.179 0.497 1.205 1.911 9.847 1.193
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 113 0 151 339 187 350
normalized size 1 1. 1.15 0. 1.54 3.46 1.91 3.57
time (sec) N/A 0.081 0.059 0.278 1.042 2.114 3.479 1.294
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 42 61 124 58 86
normalized size 1 1. 1. 1.24 1.79 3.65 1.71 2.53
time (sec) N/A 0.029 0.008 0.066 1.061 2.234 0.928 1.298
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 67 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.013 0.729 0. 0. 0. 0.
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 69 0 122 262 1583 174
normalized size 1 1. 0.86 0. 1.52 3.28 19.79 2.17
time (sec) N/A 0.076 0.103 0.665 1.055 2.317 12.169 1.3
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 88 0 232 667 0 485
normalized size 1 1. 0.74 0. 1.95 5.61 0. 4.08
time (sec) N/A 0.129 0.147 0.664 1.06 2.237 0. 1.151
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 115 0 413 1169 0 868
normalized size 1 1. 0.77 0. 2.77 7.85 0. 5.83
time (sec) N/A 0.167 0.195 0.661 1.208 2.11 0. 1.181
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 409 325 400 0 1208 3548 2623 5316
normalized size 1 0.79 0.98 0. 2.95 8.67 6.41 13.
time (sec) N/A 1.038 0.269 0.499 1.315 2.749 116.264 1.513
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 264 277 0 817 2348 1692 3025
normalized size 1 0.82 0.86 0. 2.53 7.27 5.24 9.37
time (sec) N/A 0.835 0.172 0.5 1.111 2.247 31.549 1.402
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 164 0 470 1320 879 1369
normalized size 1 1. 0.78 0. 2.23 6.26 4.17 6.49
time (sec) N/A 0.389 0.088 0.285 1.169 2.189 11.304 1.293
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 69 0 200 516 343 409
normalized size 1 1. 0.88 0. 2.56 6.62 4.4 5.24
time (sec) N/A 0.096 0.016 0.279 1.148 1.91 3.278 1.261
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 324 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 0.265 0.164 0.697 0. 0. 0. 0.
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 200 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.2 0.229 0.661 0. 0. 0. 0.
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 257 316 0 0 0 0 0
normalized size 1 1.16 1.42 0. 0. 0. 0. 0.
time (sec) N/A 0.817 0.528 0.678 0. 0. 0. 0.
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 492 492 378 0 1681 6372 5008 7974
normalized size 1 1. 0.77 0. 3.42 12.95 10.18 16.21
time (sec) N/A 0.948 0.275 0.507 1.411 3.127 124.17 1.676
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 231 0 988 3510 2756 3668
normalized size 1 1. 0.75 0. 3.23 11.47 9.01 11.99
time (sec) N/A 0.534 0.123 0.279 1.205 2.368 31.655 1.455
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 100 0 428 1374 1023 1110
normalized size 1 1. 0.83 0. 3.54 11.36 8.45 9.17
time (sec) N/A 0.141 0.025 0.274 1.123 2.072 9.306 1.318
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 646 0 0 0 0 0
normalized size 1 1. 3.65 0. 0. 0. 0. 0.
time (sec) N/A 0.412 0.265 0.715 0. 0. 0. 0.
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 444 0 0 0 0 0
normalized size 1 1. 2.12 0. 0. 0. 0. 0.
time (sec) N/A 0.366 0.586 0.674 0. 0. 0. 0.
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 408 660 0 0 0 0 0
normalized size 1 1.09 1.76 0. 0. 0. 0. 0.
time (sec) N/A 1.39 1.039 0.681 0. 0. 0. 0.
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 132 0 755 2973 2390 2433
normalized size 1 1. 0.82 0. 4.72 18.58 14.94 15.21
time (sec) N/A 0.201 0.058 0.282 1.242 2.273 26.454 1.347
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 1095 0 0 0 0 0
normalized size 1 1. 4.74 0. 0. 0. 0. 0.
time (sec) N/A 0.534 0.426 0.719 0. 0. 0. 0.
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 1301 0 0 0 0 0
normalized size 1 1. 4.75 0. 0. 0. 0. 0.
time (sec) N/A 0.525 0.577 0.686 0. 0. 0. 0.
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 36 54 101 53 78
normalized size 1 1. 1. 1.24 1.86 3.48 1.83 2.69
time (sec) N/A 0.023 0.01 0.066 1.124 1.951 0.917 1.266
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 252 0 0 597 0 707
normalized size 1 1. 0.9 0. 0. 2.14 0. 2.53
time (sec) N/A 0.779 0.815 0.5 0. 2.031 0. 1.396
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 164 0 0 351 0 340
normalized size 1 1. 0.92 0. 0. 1.96 0. 1.9
time (sec) N/A 0.416 0.261 0.266 0. 1.964 0. 1.251
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 83 0 0 157 0 107
normalized size 1 1. 1. 0. 0. 1.89 0. 1.29
time (sec) N/A 0.119 0.062 0.271 0. 1.942 0. 1.304
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.259 0.679 0. 0. 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.791 0.675 0. 0. 0. 0.
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 1310 0 0 1366 0 5462
normalized size 1 1. 4.02 0. 0. 4.19 0. 16.75
time (sec) N/A 1.292 0.939 0.49 0. 2.028 0. 1.821
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 269 0 0 811 0 2657
normalized size 1 1. 1.2 0. 0. 3.62 0. 11.86
time (sec) N/A 0.621 0.434 0.265 0. 2.043 0. 1.461
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 163 0 0 425 0 801
normalized size 1 1. 1.33 0. 0. 3.46 0. 6.51
time (sec) N/A 0.161 0.115 0.266 0. 1.889 0. 1.333
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 1.326 0.657 0. 0. 0. 0.
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 18.273 0.665 0. 0. 0. 0.
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 432 432 438 0 0 3706 0 0
normalized size 1 1. 1.01 0. 0. 8.58 0. 0.
time (sec) N/A 2.134 2.291 0.491 0. 2.421 0. 0.
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 322 0 0 2130 0 15570
normalized size 1 1. 1. 0. 0. 6.61 0. 48.35
time (sec) N/A 0.926 0.736 0.267 0. 2.192 0. 2.152
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 189 0 0 1053 0 4699
normalized size 1 1. 1.12 0. 0. 6.23 0. 27.8
time (sec) N/A 0.215 0.203 0.263 0. 1.943 0. 1.493
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 1.668 0.655 0. 0. 0. 0.
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.063 38.858 0.648 0. 0. 0. 0.
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 488 488 458 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 1.615 0.677 0.888 0. 0. 0. 0.
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 311 311 298 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.811 0.39 0.27 0. 0. 0. 0.
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 134 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.223 0.063 0.258 0. 0. 0. 0.
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 1.215 0.627 0. 0. 0. 0.
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.149 0.367 0.65 0. 0. 0. 0.
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 625 625 545 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 1.916 1.391 0.487 0. 0. 0. 0.
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 396 396 348 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 1.018 0.567 0.272 0. 0. 0. 0.
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 160 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.27 0.203 0.258 0. 0. 0. 0.
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.116 1.948 0.654 0. 0. 0. 0.
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.163 2.182 0.635 0. 0. 0. 0.
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 355 355 315 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 1.307 0.332 0.491 0. 0. 0. 0.
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 208 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.666 0.181 0.267 0. 0. 0. 0.
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 104 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.179 0.022 0.269 0. 0. 0. 0.
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.111 0.678 0. 0. 0. 0.
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 404 404 1040 0 0 0 0 0
normalized size 1 1. 2.57 0. 0. 0. 0. 0.
time (sec) N/A 2.25 2.489 0.887 0. 0. 0. 0.
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 435 0 0 0 0 0
normalized size 1 1. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 1.012 1.345 0.263 0. 0. 0. 0.
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 181 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.248 0.173 0.268 0. 0. 0. 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.455 0.676 0. 0. 0. 0.
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 514 514 652 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 3.856 6.592 0.83 0. 0. 0. 0.
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 380 380 491 0 0 0 0 0
normalized size 1 1. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 1.598 2.306 0.273 0. 0. 0. 0.
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 211 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.339 0.326 0.273 0. 0. 0. 0.
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.834 0.68 0. 0. 0. 0.
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 153 0 0 1412 0 0
normalized size 1 1. 0.89 0. 0. 8.26 0. 0.
time (sec) N/A 0.335 0.378 0.956 0. 2.761 0. 0.
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 124 0 0 844 144 0
normalized size 1 1. 0.89 0. 0. 6.07 1.04 0.
time (sec) N/A 0.183 0.184 0.688 0. 2.643 7.49 0.
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 89 155 0 483 347 173
normalized size 1 1. 0.86 1.5 0. 4.69 3.37 1.68
time (sec) N/A 0.137 0.289 0.335 0. 2.522 25.149 1.259
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 84 0 0 563 90 134
normalized size 1 1. 0.98 0. 0. 6.55 1.05 1.56
time (sec) N/A 0.126 0.158 0.737 0. 2.563 44.145 1.26
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 91 0 0 1034 0 286
normalized size 1 1. 0.76 0. 0. 8.62 0. 2.38
time (sec) N/A 0.16 0.099 0.677 0. 2.688 0. 1.344
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 91 0 0 1859 0 510
normalized size 1 1. 0.6 0. 0. 12.23 0. 3.36
time (sec) N/A 0.199 0.087 0.711 0. 2.853 0. 1.421
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 91 0 0 2865 0 0
normalized size 1 1. 0.49 0. 0. 15.57 0. 0.
time (sec) N/A 0.278 0.102 0.713 0. 3.176 0. 0.
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 635 635 2450 0 0 0 0 0
normalized size 1 1. 3.86 0. 0. 0. 0. 0.
time (sec) N/A 4.348 8.829 0.703 0. 0. 0. 0.
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 547 547 365 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 2.983 2.124 0.72 0. 0. 0. 0.
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 447 447 646 0 0 0 0 0
normalized size 1 1. 1.45 0. 0. 0. 0. 0.
time (sec) N/A 2.217 1.605 0.667 0. 0. 0. 0.
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 356 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 1.62 3.692 0.669 0. 0. 0. 0.
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 449 449 657 0 0 0 0 0
normalized size 1 1. 1.46 0. 0. 0. 0. 0.
time (sec) N/A 2.378 6.18 0.674 0. 0. 0. 0.
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 537 537 1183 0 0 0 0 0
normalized size 1 1. 2.2 0. 0. 0. 0. 0.
time (sec) N/A 3.084 7.74 0.63 0. 0. 0. 0.
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 625 625 1249 0 0 0 0 0
normalized size 1 1. 2. 0. 0. 0. 0. 0.
time (sec) N/A 3.927 7.797 0.623 0. 0. 0. 0.
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 1.232 0.651 0. 0. 0. 0.
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 1.057 0.652 0. 0. 0. 0.
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 1.516 0.621 0. 0. 0. 0.
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 1.691 0.65 0. 0. 0. 0.
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.332 1.715 0.964 0. 0. 0. 0.
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.31 1.963 0.657 0. 0. 0. 0.
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.324 1.619 0.621 0. 0. 0. 0.
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.112 7.354 0.654 0. 0. 0. 0.
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.117 3.932 0.973 0. 0. 0. 0.
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.973 1.007 0. 0. 0. 0.
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 86 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.12 0.713 0. 0. 0. 0.
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.399 0.654 0. 0. 0. 0.
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 2.431 0.649 0. 0. 0. 0.
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 9.132 0.653 0. 0. 0. 0.
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.079 0.626 0. 0. 0. 0.
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 3.826 0.635 0. 0. 0. 0.
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 3.752 0.635 0. 0. 0. 0.
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.649 0.86 0. 0. 0. 0.
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 432 432 326 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.957 1.032 0.51 0. 0. 0. 0.
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 227 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.529 0.35 0.308 0. 0. 0. 0.
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 131 0 0 192 0 0
normalized size 1 1. 1. 0. 0. 1.47 0. 0.
time (sec) N/A 0.151 0.121 0.278 0. 2.029 0. 0.
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.35 0.678 0. 0. 0. 0.
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 249 249 190 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.504 0.137 0.731 0. 0. 0. 0.
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 284 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.832 0.224 0.662 0. 0. 0. 0.
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 515 515 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.201 3.593 0.664 0. 0. 0. 0.
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 316 0 0 0 0 0
normalized size 1 1. 1.1 0. 0. 0. 0. 0.
time (sec) N/A 1.059 0.029 0.962 0. 0. 0. 0.
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 519 519 1083 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 1.411 4.461 1.06 0. 0. 0. 0.
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 427 386 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.817 0.687 0.856 0. 0. 0. 0.
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 231 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.545 0.296 0.865 0. 0. 0. 0.
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 120 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.332 0.119 0.645 0. 0. 0. 0.
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 67 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.007 0.06 0. 0. 0. 0.
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 117 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.468 0.068 1.122 0. 0. 0. 0.
Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 225 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.595 0.306 1.121 0. 0. 0. 0.
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 425 425 363 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.835 0.537 1.024 0. 0. 0. 0.
Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 519 519 927 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 1.344 0.692 0.856 0. 0. 0. 0.
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 852 0 0 0 0 0
normalized size 1 1. 3.55 0. 0. 0. 0. 0.
time (sec) N/A 0.647 0.348 0.637 0. 0. 0. 0.
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 324 0 0 0 0 0
normalized size 1 1. 2.63 0. 0. 0. 0. 0.
time (sec) N/A 0.275 0.118 0.056 0. 0. 0. 0.
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 652 0 0 0 0 0
normalized size 1 1. 2.26 0. 0. 0. 0. 0.
time (sec) N/A 0.899 0.322 1.031 0. 0. 0. 0.
Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 463 654 0 0 0 0 0
normalized size 1 1. 1.41 0. 0. 0. 0. 0.
time (sec) N/A 1.183 0.946 1. 0. 0. 0. 0.
Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 742 742 4056 0 0 0 0 0
normalized size 1 1. 5.47 0. 0. 0. 0. 0.
time (sec) N/A 1.831 1.452 0.841 0. 0. 0. 0.
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 1769 0 0 0 0 0
normalized size 1 1. 5.07 0. 0. 0. 0. 0.
time (sec) N/A 0.893 0.677 0.628 0. 0. 0. 0.
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 646 0 0 0 0 0
normalized size 1 1. 3.65 0. 0. 0. 0. 0.
time (sec) N/A 0.427 0.247 0.058 0. 0. 0. 0.
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 410 1350 0 0 0 0 0
normalized size 1 1. 3.29 0. 0. 0. 0. 0.
time (sec) N/A 1.258 0.531 1.066 0. 0. 0. 0.
Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 659 659 1057 0 0 0 0 0
normalized size 1 1. 1.6 0. 0. 0. 0. 0.
time (sec) N/A 1.716 1.831 1.011 0. 0. 0. 0.
Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.26 0.341 0.63 0. 0. 0. 0.
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.029 0.057 0. 0. 0. 0.
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.302 1.009 0.997 0. 0. 0. 0.
Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.341 4.167 0.994 0. 0. 0. 0.
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 35 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.299 2.985 0.626 0. 0. 0. 0.
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.177 0.062 0. 0. 0. 0.
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.294 30.864 1.017 0. 0. 0. 0.
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.335 48.161 1.008 0. 0. 0. 0.

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [397] had the largest ratio of [ 1. ]

Table 2.1Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 5 3 1. 10 0.3
2 A 4 3 1. 10 0.3
3 A 3 3 1. 10 0.3
4 A 2 2 1. 8 0.25
5 A 2 2 1. 10 0.2
6 A 3 3 1. 10 0.3
7 A 4 3 1. 10 0.3
8 A 5 3 1. 10 0.3
9 A 7 5 1. 12 0.417
10 A 6 5 1. 12 0.417
11 A 5 5 1. 12 0.417
12 A 4 4 1. 12 0.333
13 A 5 5 1. 12 0.417
14 A 6 5 1. 12 0.417
15 A 7 5 1. 12 0.417
16 A 3 3 1. 10 0.3
17 A 6 3 1. 16 0.188
18 A 5 3 1. 16 0.188
19 A 4 3 1. 16 0.188
20 A 3 2 1. 14 0.143
21 A 3 3 1. 16 0.188
22 A 4 4 1. 16 0.25
23 A 5 4 1. 16 0.25
24 A 7 5 1. 18 0.278
25 A 6 5 1. 18 0.278
26 A 5 5 1. 18 0.278
27 A 4 4 1. 18 0.222
28 A 5 5 1. 18 0.278
29 A 6 5 1. 18 0.278
30 A 7 5 1. 18 0.278
31 A 3 3 1. 16 0.188
32 A 3 3 1. 18 0.167
33 A 3 3 1. 22 0.136
34 A 4 4 1. 25 0.16
35 A 3 2 1. 22 0.091
36 A 3 2 1. 22 0.091
37 A 3 2 1. 22 0.091
38 A 3 2 1. 20 0.1
39 A 3 2 1. 14 0.143
40 A 3 3 1. 22 0.136
41 A 4 3 1. 22 0.136
42 A 3 2 1. 22 0.091
43 A 3 2 1. 22 0.091
44 A 6 6 0.82 24 0.25
45 A 8 7 0.85 24 0.292
46 A 9 7 1. 22 0.318
47 A 4 3 1. 16 0.188
48 A 4 4 1. 24 0.167
49 A 4 4 1. 24 0.167
50 A 9 9 1.15 24 0.375
51 A 13 11 1.09 24 0.458
52 A 19 7 1. 24 0.292
53 A 15 7 1. 24 0.292
54 A 11 7 1. 22 0.318
55 A 5 3 1. 16 0.188
56 A 5 5 1. 24 0.208
57 A 5 5 1. 24 0.208
58 A 12 11 1.08 24 0.458
59 A 21 15 0.93 24 0.625
60 A 13 7 1. 22 0.318
61 A 6 3 1. 16 0.188
62 A 6 5 1. 24 0.208
63 A 6 6 1. 24 0.25
64 A 2 2 1. 6 0.333
65 A 3 3 1. 8 0.375
66 A 4 3 1. 8 0.375
67 A 3 3 1. 9 0.333
68 A 4 4 1. 11 0.364
69 A 5 4 1. 11 0.364
70 A 2 2 1. 10 0.2
71 A 2 2 1. 27 0.074
72 A 2 2 1. 18 0.111
73 A 2 2 1. 10 0.2
74 A 2 2 1. 10 0.2
75 A 1 1 1. 10 0.1
76 A 1 1 1. 8 0.125
77 A 2 2 1. 10 0.2
78 A 2 2 1. 10 0.2
79 A 2 2 1. 14 0.143
80 A 2 2 1. 14 0.143
81 A 2 2 1. 14 0.143
82 A 1 1 1. 12 0.083
83 A 2 2 1. 14 0.143
84 A 2 2 1. 14 0.143
85 A 7 7 0.83 16 0.438
86 A 13 11 1.09 16 0.688
87 A 14 7 1. 16 0.438
88 A 14 6 1. 24 0.25
89 A 11 6 1. 24 0.25
90 A 8 6 1. 22 0.273
91 A 3 3 1. 16 0.188
92 A 0 0 0. 0 0.
93 A 0 0 0. 0 0.
94 A 26 7 1. 24 0.292
95 A 20 7 1. 24 0.292
96 A 12 7 1. 22 0.318
97 A 4 4 1. 16 0.25
98 A 0 0 0. 0 0.
99 A 0 0 0. 0 0.
100 A 33 7 1. 24 0.292
101 A 17 8 1. 22 0.364
102 A 5 4 1. 16 0.25
103 A 0 0 0. 0 0.
104 A 0 0 0. 0 0.
105 A 17 9 1. 26 0.346
106 A 12 9 1. 24 0.375
107 A 5 5 1. 18 0.278
108 A 0 0 0. 0 0.
109 A 0 0 0. 0 0.
110 A 0 0 0. 0 0.
111 A 20 9 1. 26 0.346
112 A 14 9 1. 24 0.375
113 A 6 5 1. 18 0.278
114 A 0 0 0. 0 0.
115 A 0 0 0. 0 0.
116 A 0 0 0. 0 0.
117 A 23 9 1. 26 0.346
118 A 16 9 1. 24 0.375
119 A 7 5 1. 18 0.278
120 A 0 0 0. 0 0.
121 A 0 0 0. 0 0.
122 A 0 0 0. 0 0.
123 A 18 7 1. 26 0.269
124 A 14 7 1. 26 0.269
125 A 10 7 1. 24 0.292
126 A 4 4 1. 18 0.222
127 A 0 0 0. 0 0.
128 A 33 8 1. 26 0.308
129 A 25 8 1. 26 0.308
130 A 15 8 1. 24 0.333
131 A 5 5 1. 18 0.278
132 A 0 0 0. 0 0.
133 A 59 8 1. 26 0.308
134 A 41 8 1. 26 0.308
135 A 21 9 1. 24 0.375
136 A 6 5 1. 18 0.278
137 A 0 0 0. 0 0.
138 A 6 4 1. 24 0.167
139 A 5 4 1. 24 0.167
140 A 4 4 1. 24 0.167
141 A 3 3 1. 24 0.125
142 A 4 4 1. 24 0.167
143 A 5 4 1. 24 0.167
144 A 6 4 1. 24 0.167
145 A 28 15 1. 26 0.577
146 A 21 15 1. 26 0.577
147 A 15 15 1. 26 0.577
148 A 10 12 1. 26 0.462
149 A 14 14 1. 26 0.538
150 A 19 15 1. 26 0.577
151 A 25 15 1. 26 0.577
152 A 0 0 0. 0 0.
153 A 0 0 0. 0 0.
154 A 0 0 0. 0 0.
155 A 0 0 0. 0 0.
156 A 0 0 0. 0 0.
157 A 0 0 0. 0 0.
158 A 0 0 0. 0 0.
159 A 0 0 0. 0 0.
160 A 0 0 0. 0 0.
161 A 0 0 0. 0 0.
162 A 2 2 1. 22 0.091
163 A 0 0 0. 0 0.
164 A 0 0 0. 0 0.
165 A 0 0 0. 0 0.
166 A 0 0 0. 0 0.
167 A 0 0 0. 0 0.
168 A 0 0 0. 0 0.
169 A 0 0 0. 0 0.
170 A 14 6 1. 24 0.25
171 A 11 6 1. 24 0.25
172 A 8 6 1. 22 0.273
173 A 3 3 1. 16 0.188
174 A 0 0 0. 0 0.
175 A 6 5 0.83 30 0.167
176 A 8 6 0.84 30 0.2
177 A 7 6 0.85 30 0.2
178 A 6 5 1. 28 0.179
179 A 3 3 1. 23 0.13
180 A 6 6 1.33 30 0.2
181 A 9 9 1.2 30 0.3
182 A 13 11 1.13 30 0.367
183 A 30 15 1.16 32 0.469
184 A 24 15 0.99 32 0.469
185 A 16 10 1. 32 0.312
186 A 8 7 1. 30 0.233
187 A 4 4 1. 25 0.16
188 A 8 8 1.18 32 0.25
189 A 12 11 1.1 32 0.344
190 A 21 15 0.93 32 0.469
191 A 14 8 1. 32 0.25
192 A 12 8 1. 32 0.25
193 A 10 8 1. 32 0.25
194 A 8 7 1. 30 0.233
195 A 4 4 1. 25 0.16
196 A 0 0 0. 0 0.
197 A 0 0 0. 0 0.
198 A 27 14 1. 31 0.452
199 A 20 14 1. 31 0.452
200 A 14 14 1. 31 0.452
201 A 9 11 1. 31 0.355
202 A 13 13 1. 31 0.419
203 A 18 14 1. 31 0.452
204 A 20 14 1. 23 0.609
205 A 14 14 1. 23 0.609
206 A 9 11 1. 23 0.478
207 A 13 13 1. 23 0.565
208 A 18 14 1. 23 0.609
209 A 0 0 0. 0 0.
210 A 12 8 1. 32 0.25
211 A 10 8 1. 32 0.25
212 A 8 7 1. 30 0.233
213 A 4 4 1. 25 0.16
214 A 0 0 0. 0 0.
215 A 0 0 0. 0 0.
216 A 0 0 0. 0 0.
217 A 14 8 1. 29 0.276
218 A 11 8 1. 29 0.276
219 A 8 6 1. 27 0.222
220 A 3 3 1. 22 0.136
221 A 8 4 1. 29 0.138
222 A 12 7 1. 29 0.241
223 A 15 8 1. 29 0.276
224 A 19 12 1. 31 0.387
225 A 10 8 1. 29 0.276
226 A 4 4 1. 24 0.167
227 A 10 5 1. 31 0.161
228 A 14 9 1. 31 0.29
229 A 23 13 1. 31 0.419
230 A 12 9 1. 29 0.31
231 A 5 5 1. 24 0.208
232 A 12 6 1. 31 0.194
233 A 17 7 1. 31 0.226
234 A 0 0 0. 0 0.
235 A 0 0 0. 0 0.
236 A 0 0 0. 0 0.
237 A 0 0 0. 0 0.
238 A 0 0 0. 0 0.
239 A 0 0 0. 0 0.
240 A 0 0 0. 0 0.
241 A 0 0 0. 0 0.
242 A 14 8 1. 25 0.32
243 A 11 8 1. 25 0.32
244 A 8 7 1. 23 0.304
245 A 3 3 1. 22 0.136
246 A 7 8 1. 25 0.32
247 A 11 10 1. 25 0.4
248 A 14 10 1. 25 0.4
249 A 15 10 1. 25 0.4
250 A 12 10 1. 25 0.4
251 A 9 8 1. 23 0.348
252 A 4 3 1. 22 0.136
253 A 11 9 1. 25 0.36
254 A 15 10 1. 25 0.4
255 A 18 10 1. 25 0.4
256 A 16 8 1. 27 0.296
257 A 13 8 1. 27 0.296
258 A 8 5 1. 25 0.2
259 A 12 10 1. 27 0.37
260 A 15 9 1. 27 0.333
261 A 16 11 1. 27 0.407
262 A 13 9 1. 27 0.333
263 A 8 4 1. 24 0.167
264 A 14 11 1. 27 0.407
265 A 17 12 1. 27 0.444
266 A 19 13 1. 27 0.482
267 A 16 12 1. 27 0.444
268 A 6 6 1. 25 0.24
269 A 18 13 1. 27 0.482
270 A 21 14 1. 27 0.518
271 A 31 13 1. 27 0.482
272 A 28 10 1. 27 0.37
273 A 18 7 1. 24 0.292
274 A 32 12 1. 27 0.444
275 A 10 8 1. 26 0.308
276 A 11 9 1. 26 0.346
277 A 9 7 1. 34 0.206
278 A 11 9 1. 34 0.265
279 A 2 2 1. 26 0.077
280 A 4 4 1. 25 0.16
281 A 4 4 1. 30 0.133
282 A 4 4 1. 29 0.138
283 A 16 8 1. 19 0.421
284 A 11 5 1. 19 0.263
285 A 15 10 1. 19 0.526
286 A 18 9 1. 19 0.474
287 A 16 13 1. 19 0.684
288 A 15 14 1. 19 0.737
289 A 11 10 1. 17 0.588
290 A 11 4 1. 16 0.25
291 A 17 14 1. 19 0.737
292 A 16 14 1. 19 0.737
293 A 23 8 1. 19 0.421
294 A 18 5 1. 19 0.263
295 A 22 10 1. 19 0.526
296 A 23 10 1. 19 0.526
297 A 18 7 1. 17 0.412
298 A 23 10 1. 19 0.526
299 A 22 14 1. 19 0.737
300 A 18 11 1. 19 0.579
301 A 18 4 1. 16 0.25
302 A 24 16 1. 19 0.842
303 A 4 3 1. 23 0.13
304 A 4 3 1. 27 0.111
305 A 4 3 1. 27 0.111
306 A 4 4 1. 27 0.148
307 A 5 4 1. 27 0.148
308 A 4 3 1. 27 0.111
309 A 12 6 1. 16 0.375
310 A 28 19 0.9 29 0.655
311 A 21 12 1. 29 0.414
312 A 10 5 1. 27 0.185
313 A 16 5 1. 29 0.172
314 A 25 14 1.04 29 0.483
315 A 23 16 0.92 29 0.552
316 A 16 9 1. 29 0.31
317 A 10 5 1. 26 0.192
318 A 15 9 1. 29 0.31
319 A 28 20 1.03 29 0.69
320 A 34 18 1. 29 0.621
321 A 25 12 1. 29 0.414
322 A 13 7 1. 27 0.259
323 A 29 12 1. 29 0.414
324 A 38 19 1.02 29 0.655
325 A 36 13 1. 29 0.448
326 A 32 10 1. 29 0.345
327 A 20 9 1. 26 0.346
328 A 35 11 1. 29 0.379
329 A 12 6 1. 22 0.273
330 A 10 5 1. 22 0.227
331 A 8 4 1. 20 0.2
332 A 0 0 0. 0 0.
333 A 4 4 1. 32 0.125
334 A 5 5 1. 36 0.139
335 A 4 4 1. 38 0.105
336 A 5 5 1. 38 0.132
337 A 2 2 1. 26 0.077
338 A 4 4 1. 27 0.148
339 A 1 1 1. 38 0.026
340 A 2 2 1. 39 0.051
341 A 1 1 1. 34 0.029
342 A 3 3 1. 35 0.086
343 A 13 7 1. 24 0.292
344 A 11 6 1. 24 0.25
345 A 8 9 1. 22 0.409
346 A 0 0 0. 0 0.
347 A 12 6 1. 25 0.24
348 A 10 5 1. 25 0.2
349 A 8 4 1. 23 0.174
350 A 0 0 0. 0 0.
351 A 10 5 1. 18 0.278
352 A 9 4 1. 18 0.222
353 A 6 3 1. 16 0.188
354 A 6 3 1. 15 0.2
355 A 9 4 1. 18 0.222
356 A 10 5 1. 18 0.278
357 A 11 5 1. 18 0.278
358 A 11 7 1. 24 0.292
359 A 10 7 1. 24 0.292
360 A 9 7 1. 22 0.318
361 A 8 6 1. 21 0.286
362 A 4 4 1. 24 0.167
363 A 8 8 1.18 24 0.333
364 A 9 7 1.12 24 0.292
365 A 10 7 1.1 24 0.292
366 A 11 7 1.08 24 0.292
367 A 50 22 1.28 26 0.846
368 A 38 16 1. 24 0.667
369 A 17 12 1. 23 0.522
370 F 0 0 N/A 0 N/A
371 F 0 0 N/A 0 N/A
372 F 0 0 N/A 0 N/A
373 A 28 13 1. 23 0.565
374 F 0 0 N/A 0 N/A
375 A 0 0 0. 0 0.
376 A 0 0 0. 0 0.
377 A 0 0 0. 0 0.
378 A 1 1 1. 16 0.062
379 A 13 7 1. 32 0.219
380 A 13 7 1.05 30 0.233
381 A 11 5 1.18 29 0.172
382 A 11 6 1.39 32 0.188
383 A 11 6 1.76 32 0.188
384 A 17 9 1.7 32 0.281
385 A 25 11 1.56 32 0.344
386 A 35 9 1. 32 0.281
387 A 29 9 1. 32 0.281
388 A 23 9 1. 30 0.3
389 A 17 8 1. 29 0.276
390 A 13 5 1. 32 0.156
391 A 15 9 1. 32 0.281
392 A 23 11 1. 32 0.344
393 A 73 27 0.97 32 0.844
394 A 41 19 1. 31 0.613
395 A 0 0 0. 0 0.
396 A 0 0 0. 0 0.
397 A 148 32 1. 32 1.
398 A 64 22 1. 31 0.71
399 A 0 0 0. 0 0.
400 A 0 0 0. 0 0.
401 A 3 3 1. 40 0.075
402 A 4 4 1. 28 0.143
403 A 4 4 1. 32 0.125
404 A 7 4 1. 20 0.2
405 A 6 4 1. 20 0.2
406 A 5 4 1. 20 0.2
407 A 4 3 1. 18 0.167
408 A 4 4 1. 20 0.2
409 A 5 5 1. 20 0.25
410 A 6 5 1. 20 0.25
411 A 8 6 1. 22 0.273
412 A 7 6 1. 22 0.273
413 A 6 6 1. 22 0.273
414 A 5 5 1. 22 0.227
415 A 6 6 1. 22 0.273
416 A 7 6 1. 22 0.273
417 A 8 6 1. 22 0.273
418 A 4 4 1. 20 0.2
419 A 4 4 1. 24 0.167
420 A 4 3 1. 26 0.115
421 A 4 3 1. 26 0.115
422 A 4 3 1. 24 0.125
423 A 4 3 1. 18 0.167
424 A 4 4 1. 26 0.154
425 A 5 4 1. 26 0.154
426 A 4 3 1. 26 0.115
427 A 4 3 1. 26 0.115
428 A 7 7 0.79 28 0.25
429 A 9 8 0.82 28 0.286
430 A 10 8 1. 26 0.308
431 A 5 4 1. 20 0.2
432 A 5 5 1. 28 0.179
433 A 5 5 1. 28 0.179
434 A 10 10 1.16 28 0.357
435 A 16 8 1. 28 0.286
436 A 12 8 1. 26 0.308
437 A 6 4 1. 20 0.2
438 A 6 6 1. 28 0.214
439 A 6 6 1. 28 0.214
440 A 13 12 1.09 28 0.429
441 A 7 4 1. 20 0.2
442 A 7 6 1. 28 0.214
443 A 7 7 1. 28 0.25
444 A 3 3 1. 14 0.214
445 A 12 7 1. 28 0.25
446 A 9 7 1. 26 0.269
447 A 4 4 1. 20 0.2
448 A 0 0 0. 0 0.
449 A 0 0 0. 0 0.
450 A 21 8 1. 28 0.286
451 A 13 8 1. 26 0.308
452 A 5 5 1. 20 0.25
453 A 0 0 0. 0 0.
454 A 0 0 0. 0 0.
455 A 34 8 1. 28 0.286
456 A 18 9 1. 26 0.346
457 A 6 5 1. 20 0.25
458 A 0 0 0. 0 0.
459 A 0 0 0. 0 0.
460 A 18 10 1. 30 0.333
461 A 13 10 1. 28 0.357
462 A 6 6 1. 22 0.273
463 A 0 0 0. 0 0.
464 A 0 0 0. 0 0.
465 A 21 10 1. 30 0.333
466 A 15 10 1. 28 0.357
467 A 7 6 1. 22 0.273
468 A 0 0 0. 0 0.
469 A 0 0 0. 0 0.
470 A 15 8 1. 30 0.267
471 A 11 8 1. 28 0.286
472 A 5 5 1. 22 0.227
473 A 0 0 0. 0 0.
474 A 26 9 1. 30 0.3
475 A 16 9 1. 28 0.321
476 A 6 6 1. 22 0.273
477 A 0 0 0. 0 0.
478 A 42 9 1. 30 0.3
479 A 22 10 1. 28 0.357
480 A 7 6 1. 22 0.273
481 A 0 0 0. 0 0.
482 A 7 5 1. 28 0.179
483 A 6 5 1. 28 0.179
484 A 5 5 1. 28 0.179
485 A 4 4 1. 28 0.143
486 A 5 5 1. 28 0.179
487 A 6 5 1. 28 0.179
488 A 7 5 1. 28 0.179
489 A 29 16 1. 30 0.533
490 A 22 16 1. 30 0.533
491 A 16 16 1. 30 0.533
492 A 11 13 1. 30 0.433
493 A 15 15 1. 30 0.5
494 A 20 16 1. 30 0.533
495 A 26 16 1. 30 0.533
496 A 0 0 0. 0 0.
497 A 0 0 0. 0 0.
498 A 0 0 0. 0 0.
499 A 0 0 0. 0 0.
500 A 0 0 0. 0 0.
501 A 0 0 0. 0 0.
502 A 0 0 0. 0 0.
503 A 0 0 0. 0 0.
504 A 0 0 0. 0 0.
505 A 0 0 0. 0 0.
506 A 3 3 1. 26 0.115
507 A 0 0 0. 0 0.
508 A 0 0 0. 0 0.
509 A 0 0 0. 0 0.
510 A 0 0 0. 0 0.
511 A 0 0 0. 0 0.
512 A 0 0 0. 0 0.
513 A 0 0 0. 0 0.
514 A 12 7 1. 28 0.25
515 A 9 7 1. 26 0.269
516 A 4 4 1. 20 0.2
517 A 0 0 0. 0 0.
518 A 9 5 1. 28 0.179
519 A 11 9 1. 30 0.3
520 A 12 10 1. 30 0.333
521 A 10 8 1. 38 0.21
522 A 12 10 1. 38 0.263
523 A 15 9 1. 33 0.273
524 A 12 9 1. 33 0.273
525 A 9 7 1. 31 0.226
526 A 4 4 1. 26 0.154
527 A 9 5 1. 33 0.152
528 A 13 8 1. 33 0.242
529 A 16 9 1. 33 0.273
530 A 20 13 1. 35 0.371
531 A 11 9 1. 33 0.273
532 A 5 5 1. 28 0.179
533 A 11 6 1. 35 0.171
534 A 15 10 1. 35 0.286
535 A 24 14 1. 35 0.4
536 A 13 10 1. 33 0.303
537 A 6 6 1. 28 0.214
538 A 13 7 1. 35 0.2
539 A 18 8 1. 35 0.229
540 A 0 0 0. 0 0.
541 A 0 0 0. 0 0.
542 A 0 0 0. 0 0.
543 A 0 0 0. 0 0.
544 A 0 0 0. 0 0.
545 A 0 0 0. 0 0.
546 A 0 0 0. 0 0.
547 A 0 0 0. 0 0.

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