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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

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

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 33, 35, 37, 39, 41, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 72, 73, 76, 77, 78, 79, 80, 81, 83, 84, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 107, 108, 109, 110, 113, 114, 116, 117, 118, 119, 122, 123, 125, 126, 127, 128, 129, 133, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 235, 236, 237, 238, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 265, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 300, 302, 304, 305, 306, 307, 308, 309, 311, 313, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 359, 362, 363, 364, 365, 370, 373, 374, 375, 379, 382, 383, 389, 391, 392, 393, 398, 402, 403, 411, 412, 413, 415, 416, 417, 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, 454, 455, 456, 457, 458, 459, 460, 461, 462, 465, 468, 469, 470, 471, 472, 473, 476, 479, 480, 481, 482, 483, 484, 487, 498, 509, 513, 514, 515, 516, 521, 522, 523, 524, 525 }

B grade: { 6, 8, 17, 18, 26, 138, 159, 193, 195, 206, 225, 226, 227, 228, 315, 345, 355 }

C grade: { 28, 30, 32, 34, 36, 38, 40, 43, 45, 47, 49, 52, 54, 56, 58, 71, 74, 75, 82, 85, 86, 102, 105, 106, 111, 112, 115, 120, 121, 124, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 229, 230, 231, 232, 233, 234, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 266, 267, 268, 269, 270, 271, 272, 273, 274, 299, 301, 303, 310, 312, 314, 356, 357, 358, 360, 361, 366, 367, 368, 369, 371, 372, 376, 377, 378, 380, 381, 384, 385, 386, 387, 388, 390, 394, 395, 396, 397, 399, 414, 418, 453, 463, 464, 466, 467, 474, 475, 477, 478, 485, 486, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 510, 511 }

F grade: { 63, 130, 131, 132, 134, 135, 136, 137, 139, 140, 400, 401, 404, 405, 406, 407, 408, 409, 410, 512, 517, 518, 519, 520}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 34, 36, 38, 40, 71, 72, 73, 74, 75, 82, 83, 84, 85, 86, 88, 89, 91, 93, 94, 95, 96, 102, 103, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 116, 117, 118, 119, 123, 124, 125, 126, 127, 129, 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, 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, 230, 231, 232, 233, 234, 278, 280, 283, 284, 285, 286, 287, 288, 291, 292, 293, 294, 295, 296, 297, 298, 304, 306, 307, 308, 309, 311, 322, 334, 344, 353, 357, 358, 359, 360, 361, 363, 368, 369, 370, 371, 372, 374, 377, 378, 379, 380, 381, 383, 386, 387, 388, 389, 390, 393, 398, 428, 431, 432, 433, 434, 435, 436, 439, 442, 443, 444, 445, 446, 449, 452, 453, 454, 455, 456, 463, 464, 465, 466, 467, 474, 475, 476, 477, 478, 485, 486, 487, 488, 489, 496, 497, 498, 499, 500, 507, 509, 510, 522, 523, 524, 525 }

B grade: { 28, 29, 30, 31, 32, 33, 35, 37, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 76, 77, 78, 79, 80, 81, 87, 90, 92, 97, 98, 99, 100, 101, 109, 110, 120, 121, 122, 128, 229, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 265, 276, 277, 281, 282, 289, 290, 299, 300, 301, 302, 303, 305, 310, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 395, 396, 397, 399, 413, 417, 425, 508, 511 }

C grade: { 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 235, 236, 237, 238, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 352, 354, 355, 356, 362, 364, 365, 366, 367, 373, 375, 376, 382, 384, 385, 391, 392, 394, 411, 412, 414, 415, 416, 418, 426, 427, 429, 430, 437, 438, 440, 441, 447, 448, 450, 451, 457, 458, 459, 460, 461, 462, 468, 469, 470, 471, 472, 473, 479, 480, 481, 482, 483, 484, 490, 491, 492, 493, 494, 495, 501, 502, 503, 504, 505, 506, 521 }

F grade: { 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 419, 420, 421, 422, 423, 424, 512, 513, 514, 515, 516, 517, 518, 519, 520 }

2.1.4 Maxima

A grade: { 1, 3, 5, 6, 7, 10, 12, 14, 16, 19, 21, 23, 25, 27, 88, 93, 125, 141, 142, 143, 144, 145, 146, 147, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 165, 166, 168, 184, 186, 188, 189, 190, 197, 199, 201, 203, 217, 218, 219, 220, 277, 279, 280, 283, 285, 286, 287, 293, 295, 296, 304, 306, 307, 428, 429, 430, 433, 439, 440, 441, 450, 451

B grade: { 2, 4, 8, 9, 11, 13, 15, 17, 18, 20, 22, 24, 26, 60, 61, 62, 63, 64, 65, 89, 94, 108, 117, 118, 148, 149, 156, 157, 158, 159, 160, 167, 169, 170, 185, 187, 191, 192, 193, 194, 195, 196, 198, 200, 202, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 221, 222, 223, 224, 225, 226, 227, 228, 265, 276, 278, 281, 282, 284, 288, 289, 290, 291, 292, 294, 297, 298, 299, 300, 301, 302, 303, 305, 308, 309, 310, 311, 312, 313, 314, 315, 349, 350, 351, 383, 392, 393, 425, 426, 427, 431, 432, 434, 435, 436, 437, 438, 442, 443, 444, 445, 446, 447, 448, 449, 452, 453, 454, 455, 456 }

C grade: { 128 }

F grade: { 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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 119, 120, 121, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 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, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 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, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 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, 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 }

2.1.5 FriCAS

A grade: { 1, 3, 4, 5, 10, 12, 14, 16, 19, 21, 23, 25, 88, 93, 125, 141, 142, 143, 144, 145, 147, 151, 152, 153, 155, 162, 184, 186, 188, 190, 199, 276, 277, 278, 279, 280, 283, 284, 285, 286, 293, 295, 298, 304, 306, 524, 525 }

B grade: { 2, 6, 7, 8, 9, 11, 13, 15, 17, 18, 20, 22, 24, 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, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 76, 77, 78, 79, 80, 81, 98, 99, 100, 101, 107, 108, 109, 110, 116, 117, 118, 119, 146, 148, 149, 150, 154, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 182, 183, 185, 187, 189, 191, 192, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 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, 265, 266, 270, 271, 272, 273, 274, 275, 281, 282, 287, 288, 289, 290, 291, 292, 294, 296, 297, 299, 300, 301, 302, 303, 305, 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, 349, 350, 351, 352, 353, 354, 355, 356, 362, 363, 364, 365, 366, 367, 373, 374, 375, 376, 382, 383, 384, 385, 391, 392, 393, 394, 411, 412, 413, 415, 416, 417, 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, 468, 469, 470, 471, 472, 473, 479, 480, 481, 482, 483, 484, 490, 491, 492, 493, 494, 495, 502, 503, 504, 505, 523 }

C grade: { 89, 94, 128, 521 }

F grade: { 58, 59, 71, 72, 73, 74, 75, 82, 83, 84, 85, 86, 87, 90, 91, 92, 95, 96, 97, 102, 103, 104, 105, 106, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 215, 216, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 267, 268, 269, 347, 348, 357, 358, 359, 360, 361, 368, 369, 370, 371, 372, 377, 378, 379, 380, 381, 386, 387, 388, 389, 390, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 414, 418, 419, 420, 421, 422, 423, 424, 463, 464, 465, 466, 467, 474, 475, 476, 477, 478, 485, 486, 487, 488, 489, 496, 497, 498, 499, 500, 501, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 35, 141, 142, 143, 144, 145, 150, 151, 152, 153, 161, 162, 163, 184, 185, 186, 187, 188, 196, 197, 198, 199, 209, 218, 279, 280, 283, 284, 285, 286, 293, 294, 295, 296, 304, 305, 306, 307, 322, 334, 344, 413, 417 }

B grade: { 60, 61, 62, 63, 182, 183, 276, 277, 278, 350 }

C grade: { }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 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, 146, 147, 148, 149, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 189, 190, 191, 192, 193, 194, 195, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 215, 216, 217, 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, 281, 282, 287, 288, 289, 290, 291, 292, 297, 298, 299, 300, 301, 302, 303, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 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, 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, 414, 415, 416, 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 }

2.1.7 Giac

A grade: { 7, 9, 25, 27, 33, 35, 37, 39, 42, 44, 46, 48, 50, 57, 59, 61, 62, 65, 88, 93, 125, 141, 142, 143, 144, 145, 146, 149, 150, 151, 152, 153, 159, 160, 161, 162, 163, 164, 182, 183, 184, 186, 188, 192, 203, 235, 236, 237, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 268, 269, 271, 272, 275, 276, 277, 279, 280, 285, 287, 288, 290, 292, 293, 295, 304, 306, 321, 324, 326, 333, 336, 413, 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, 452, 453, 454, 455, 456, 521 }

B grade: { 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 29, 31, 41, 51, 53, 55, 60, 63, 64, 69, 70, 100, 108, 109, 117, 118, 119, 147, 148, 154, 155, 156, 157, 158, 165, 166, 167, 168, 169, 170, 185, 187, 189, 190, 191, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 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, 265, 274, 278, 281, 282, 283, 284, 286, 289, 291, 294, 296, 297, 298, 299, 300, 301, 302, 303, 305, 307, 308, 309, 310, 311, 312, 313, 314, 315, 317, 319, 323, 328, 329, 331, 337, 338, 339, 341, 343, 346, 348, 349, 350, 351, 355, 356, 375, 376, 383, 384, 392, 393, 394 }

C grade: { 89, 94, 128, 266 }

F grade: { 28, 30, 32, 34, 36, 38, 40, 43, 45, 47, 49, 52, 54, 56, 58, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 110, 111, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 229, 230, 231, 232, 233, 234, 238, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 267, 270, 273, 316, 318, 320, 322, 325, 327, 330, 332, 334, 335, 340, 342, 344, 345, 347, 352, 353, 354, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 377, 378, 379, 380, 381, 382, 385, 386, 387, 388, 389, 390, 391, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 451, 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, 522, 523, 524, 525 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 68 88 203 319 258 221
normalized size 1 1. 0.76 0.99 2.28 3.58 2.9 2.48
time (sec) N/A 0.055 0.108 0.014 1.034 1.952 4.778 1.323
Problem 2 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 53 53 77 56 190 273 105 166
normalized size 1 1. 1.45 1.06 3.58 5.15 1.98 3.13
time (sec) N/A 0.056 0.026 0.013 1.041 1.823 2.48 1.255
Problem 3 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 61 61 47 66 131 163 158 161
normalized size 1 1. 0.77 1.08 2.15 2.67 2.59 2.64
time (sec) N/A 0.043 0.085 0.013 1.059 1.909 1.428 1.369
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 53 34 90 127 56 96
normalized size 1 1. 1.66 1.06 2.81 3.97 1.75 3.
time (sec) N/A 0.029 0.024 0.013 1.015 1.875 0.769 1.267
Problem 5 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 30 30 36 32 51 74 51 72
normalized size 1 1. 1.2 1.07 1.7 2.47 1.7 2.4
time (sec) N/A 0.016 0.032 0.007 1.044 1.841 0.409 1.308
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 62 24 58 374 0 78
normalized size 1 1. 2.48 0.96 2.32 14.96 0. 3.12
time (sec) N/A 0.035 0.032 0.029 1.041 1.974 0. 1.214
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 22 31 89 0 41
normalized size 1 1. 1. 1.38 1.94 5.56 0. 2.56
time (sec) N/A 0.027 0.02 0.027 1.024 1.85 0. 1.293
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 99 40 169 1323 0 136
normalized size 1 1. 2.48 1. 4.22 33.08 0. 3.4
time (sec) N/A 0.041 0.032 0.034 1.055 1.936 0. 1.253
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 49 35 153 425 0 82
normalized size 1 1. 1.14 0.81 3.56 9.88 0. 1.91
time (sec) N/A 0.039 0.031 0.034 1.025 1.807 0. 1.173
Problem 10 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 146 146 133 150 360 589 490 429
normalized size 1 1. 0.91 1.03 2.47 4.03 3.36 2.94
time (sec) N/A 0.18 0.204 0.048 1.044 1.973 15.386 1.363
Problem 11 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 85 85 154 102 333 554 204 332
normalized size 1 1. 1.81 1.2 3.92 6.52 2.4 3.91
time (sec) N/A 0.097 0.038 0.017 1.06 2.249 8.167 1.325
Problem 12 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 110 117 99 118 255 373 332 316
normalized size 1 1.06 0.9 1.07 2.32 3.39 3.02 2.87
time (sec) N/A 0.11 0.192 0.017 1.043 2.145 4.88 1.356
Problem 13 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 57 57 111 70 212 309 128 220
normalized size 1 1. 1.95 1.23 3.72 5.42 2.25 3.86
time (sec) N/A 0.06 0.036 0.015 1.046 2.018 2.35 1.25
Problem 14 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 72 72 60 79 142 193 168 204
normalized size 1 1. 0.83 1.1 1.97 2.68 2.33 2.83
time (sec) N/A 0.022 0.127 0.013 1.008 1.878 1.277 1.226
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 104 50 138 1280 0 174
normalized size 1 1. 2. 0.96 2.65 24.62 0. 3.35
time (sec) N/A 0.066 0.034 0.032 1.049 1.851 0. 1.28
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 64 56 52 85 215 0 189
normalized size 1 1.28 1.12 1.04 1.7 4.3 0. 3.78
time (sec) N/A 0.081 0.163 0.033 1.014 1.87 0. 1.228
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 134 53 212 2310 0 180
normalized size 1 1. 2.39 0.95 3.79 41.25 0. 3.21
time (sec) N/A 0.088 0.064 0.041 1.075 1.952 0. 1.359
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 85 47 163 428 0 109
normalized size 1 1. 2.12 1.18 4.08 10.7 0. 2.72
time (sec) N/A 0.074 0.712 0.04 1.063 1.893 0. 1.345
Problem 19 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 261 261 162 222 547 1013 777 679
normalized size 1 1. 0.62 0.85 2.1 3.88 2.98 2.6
time (sec) N/A 0.43 0.422 0.052 1.077 1.81 37.062 1.399
Problem 20 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 115 115 127 158 508 940 330 544
normalized size 1 1. 1.1 1.37 4.42 8.17 2.87 4.73
time (sec) N/A 0.129 0.797 0.049 1.083 1.82 21.724 1.414
Problem 21 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 181 181 130 180 413 667 561 521
normalized size 1 1. 0.72 0.99 2.28 3.69 3.1 2.88
time (sec) N/A 0.193 0.291 0.014 1.105 1.817 14.363 1.408
Problem 22 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 79 79 94 116 355 589 221 386
normalized size 1 1. 1.19 1.47 4.49 7.46 2.8 4.89
time (sec) N/A 0.087 0.304 0.016 1.053 1.774 7.788 1.32
Problem 23 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 128 128 95 131 266 398 350 362
normalized size 1 1. 0.74 1.02 2.08 3.11 2.73 2.83
time (sec) N/A 0.1 0.259 0.013 1.045 1.823 5.044 1.322
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 83 86 261 2889 0 311
normalized size 1 1. 1. 1.04 3.14 34.81 0. 3.75
time (sec) N/A 0.087 0.215 0.03 1.065 2.065 0. 1.322
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 113 94 176 409 0 257
normalized size 1 1. 0.82 0.69 1.28 2.99 0. 1.88
time (sec) N/A 0.192 1.917 0.03 1.065 1.841 0. 1.363
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 210 79 293 4575 0 261
normalized size 1 1. 2.53 0.95 3.53 55.12 0. 3.14
time (sec) N/A 0.107 4.7 0.042 1.075 2.084 0. 1.363
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 107 77 217 668 0 217
normalized size 1 1. 0.95 0.68 1.92 5.91 0. 1.92
time (sec) N/A 0.141 2.504 0.039 1.03 1.764 0. 1.368
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 165 448 0 7640 0 0
normalized size 1 1. 1.51 4.11 0. 70.09 0. 0.
time (sec) N/A 0.149 0.868 0.044 0. 2.284 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 97 670 0 4313 0 296
normalized size 1 1. 0.8 5.54 0. 35.64 0. 2.45
time (sec) N/A 0.235 0.475 0.08 0. 2.054 0. 1.209
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 134 227 0 3993 0 0
normalized size 1 1. 1.7 2.87 0. 50.54 0. 0.
time (sec) N/A 0.108 0.434 0.033 0. 1.97 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 71 454 0 2191 0 181
normalized size 1 1. 0.9 5.75 0. 27.73 0. 2.29
time (sec) N/A 0.121 0.25 0.043 0. 2.129 0. 1.238
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 107 98 0 1894 0 0
normalized size 1 1. 1.91 1.75 0. 33.82 0. 0.
time (sec) N/A 0.085 0.234 0.03 0. 1.916 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 312 0 1122 0 88
normalized size 1 1. 1. 6.24 0. 22.44 0. 1.76
time (sec) N/A 0.087 0.131 0.033 0. 2.02 0. 1.265
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 91 51 0 1293 0 0
normalized size 1 1. 2.28 1.27 0. 32.32 0. 0.
time (sec) N/A 0.047 0.123 0.016 0. 2.016 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 267 0 1068 3859 63
normalized size 1 1. 1. 6.68 0. 26.7 96.48 1.58
time (sec) N/A 0.027 0.071 0.042 0. 1.928 118.484 1.258
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 124 74 0 1544 0 0
normalized size 1 1. 2.07 1.23 0. 25.73 0. 0.
time (sec) N/A 0.074 0.21 0.049 0. 2.014 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 57 319 0 1661 0 100
normalized size 1 1. 1. 5.6 0. 29.14 0. 1.75
time (sec) N/A 0.081 0.292 0.061 0. 2.214 0. 1.308
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 201 133 0 4867 0 0
normalized size 1 1. 2.28 1.51 0. 55.31 0. 0.
time (sec) N/A 0.123 0.694 0.062 0. 2.819 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 126 401 0 4710 0 159
normalized size 1 1. 1.62 5.14 0. 60.38 0. 2.04
time (sec) N/A 0.12 0.693 0.071 0. 2.378 0. 1.425
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 574 232 0 14357 0 0
normalized size 1 1. 4.42 1.78 0. 110.44 0. 0.
time (sec) N/A 0.204 6.283 0.066 0. 3.037 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 155 519 0 10761 0 289
normalized size 1 1. 1.41 4.72 0. 97.83 0. 2.63
time (sec) N/A 0.136 1.458 0.074 0. 2.781 0. 1.493
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 99 798 0 4199 0 228
normalized size 1 1. 0.97 7.82 0. 41.17 0. 2.24
time (sec) N/A 0.169 0.833 0.051 0. 2.56 0. 1.283
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 141 341 0 4536 0 0
normalized size 1 1. 1.57 3.79 0. 50.4 0. 0.
time (sec) N/A 0.113 0.597 0.032 0. 2.432 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 81 428 0 3564 0 184
normalized size 1 1. 0.96 5.1 0. 42.43 0. 2.19
time (sec) N/A 0.086 0.444 0.041 0. 2.392 0. 1.402
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 130 256 0 3999 0 0
normalized size 1 1. 1.6 3.16 0. 49.37 0. 0.
time (sec) N/A 0.065 0.348 0.027 0. 2.395 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 96 749 0 3767 0 196
normalized size 1 1. 1.01 7.88 0. 39.65 0. 2.06
time (sec) N/A 0.069 0.303 0.046 0. 2.437 0. 1.213
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 176 350 0 6178 0 0
normalized size 1 1. 1.6 3.18 0. 56.16 0. 0.
time (sec) N/A 0.149 0.644 0.062 0. 2.911 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 170 810 0 6962 0 312
normalized size 1 1. 1.2 5.7 0. 49.03 0. 2.2
time (sec) N/A 0.153 0.811 0.076 0. 2.621 0. 1.485
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 350 415 0 19038 0 0
normalized size 1 1. 2.17 2.58 0. 118.25 0. 0.
time (sec) N/A 0.273 1.406 0.079 0. 3.669 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 210 890 0 16662 0 301
normalized size 1 1. 1.21 5.11 0. 95.76 0. 1.73
time (sec) N/A 0.206 1.259 0.089 0. 3.163 0. 1.508
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 104 768 0 11786 0 386
normalized size 1 1. 0.84 6.19 0. 95.05 0. 3.11
time (sec) N/A 0.123 1.369 0.052 0. 2.942 0. 1.565
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 170 961 0 14074 0 0
normalized size 1 1. 1.26 7.12 0. 104.25 0. 0.
time (sec) N/A 0.141 1.222 0.042 0. 2.963 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 121 1408 0 12358 0 378
normalized size 1 1. 0.87 10.13 0. 88.91 0. 2.72
time (sec) N/A 0.157 1.346 0.049 0. 3.003 0. 1.526
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 149 964 0 12081 0 0
normalized size 1 1. 1.26 8.17 0. 102.38 0. 0.
time (sec) N/A 0.083 0.747 0.034 0. 2.862 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 132 1768 0 13509 0 413
normalized size 1 1. 0.86 11.48 0. 87.72 0. 2.68
time (sec) N/A 0.155 1.219 0.053 0. 2.969 0. 1.462
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 237 1145 0 22814 0 0
normalized size 1 1. 1.43 6.9 0. 137.43 0. 0.
time (sec) N/A 0.267 3.426 0.069 0. 4.056 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 225 1850 0 21173 0 455
normalized size 1 1. 1.05 8.6 0. 98.48 0. 2.12
time (sec) N/A 0.287 1.813 0.089 0. 3.586 0. 1.6
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 419 1225 0 0 0 0
normalized size 1 1. 1.87 5.47 0. 0. 0. 0.
time (sec) N/A 0.439 2.943 0.091 0. 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 167 1930 0 0 0 518
normalized size 1 1. 0.64 7.45 0. 0. 0. 2.
time (sec) N/A 0.338 2.762 0.111 0. 0. 0. 1.609
Problem 60 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 2 2 2 17 14 70 14 14
normalized size 1 1. 1. 8.5 7. 35. 7. 7.
time (sec) N/A 0.016 0.004 0.016 1.026 1.758 0.895 1.298
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 17 36 66 286 104 24
normalized size 1 1. 1.55 3.27 6. 26. 9.45 2.18
time (sec) N/A 0.019 0.003 0.015 1.039 1.793 4.906 1.275
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 27 52 150 628 260 32
normalized size 1 1. 1.42 2.74 7.89 33.05 13.68 1.68
time (sec) N/A 0.02 0.003 0.019 1.045 1.78 18.192 1.275
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B B B B B
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 15 15 0 40 82 215 209 50
normalized size 1 1. 0. 2.67 5.47 14.33 13.93 3.33
time (sec) N/A 0.013 0.022 0.016 1.53 1.843 3.567 1.266
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 35 92 117 729 0 84
normalized size 1 1. 0.95 2.49 3.16 19.7 0. 2.27
time (sec) N/A 0.027 0.128 0.02 1.549 1.854 0. 1.277
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 51 124 150 1936 0 100
normalized size 1 1. 0.93 2.25 2.73 35.2 0. 1.82
time (sec) N/A 0.058 0.178 0.023 1.566 2.069 0. 1.277
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 114 339 0 7794 0 0
normalized size 1 1. 0.88 2.61 0. 59.95 0. 0.
time (sec) N/A 0.148 0.651 0.114 0. 3.896 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 97 200 0 5562 0 0
normalized size 1 1. 1.18 2.44 0. 67.83 0. 0.
time (sec) N/A 0.07 0.162 0.066 0. 3.464 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 97 174 0 11636 0 0
normalized size 1 1. 1.15 2.07 0. 138.52 0. 0.
time (sec) N/A 0.105 0.124 0.098 0. 3.265 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 104 230 0 3421 0 938
normalized size 1 1. 1.18 2.61 0. 38.88 0. 10.66
time (sec) N/A 0.118 0.293 0.09 0. 2.279 0. 1.373
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 129 381 0 8303 0 3086
normalized size 1 1. 0.9 2.65 0. 57.66 0. 21.43
time (sec) N/A 0.15 0.538 0.099 0. 4.097 0. 1.574
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 300 300 210 512 0 0 0 0
normalized size 1 1. 0.7 1.71 0. 0. 0. 0.
time (sec) N/A 0.327 1.369 0.086 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 170 343 0 0 0 0
normalized size 1 1. 0.96 1.94 0. 0. 0. 0.
time (sec) N/A 0.213 0.841 0.065 0. 0. 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 69 140 0 0 0 0
normalized size 1 1. 1.15 2.33 0. 0. 0. 0.
time (sec) N/A 0.036 0.096 0.065 0. 0. 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 151 160 0 0 0 0
normalized size 1 1. 0.76 0.8 0. 0. 0. 0.
time (sec) N/A 0.182 0.594 0.072 0. 0. 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 208 436 0 0 0 0
normalized size 1 1. 0.75 1.58 0. 0. 0. 0.
time (sec) N/A 0.282 3.028 0.121 0. 0. 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 177 151 483 0 11580 0 0
normalized size 1 1. 0.85 2.73 0. 65.42 0. 0.
time (sec) N/A 0.181 0.582 0.091 0. 3.807 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 111 336 0 7737 0 0
normalized size 1 1. 0.92 2.78 0. 63.94 0. 0.
time (sec) N/A 0.097 0.312 0.071 0. 2.926 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 136 268 0 14642 0 0
normalized size 1 1. 1.07 2.11 0. 115.29 0. 0.
time (sec) N/A 0.165 0.554 0.086 0. 3.685 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 143 297 0 17554 0 0
normalized size 1 1. 1.1 2.28 0. 135.03 0. 0.
time (sec) N/A 0.168 0.711 0.097 0. 4.753 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 123 379 0 8128 0 0
normalized size 1 1. 0.91 2.81 0. 60.21 0. 0.
time (sec) N/A 0.141 0.63 0.095 0. 4.112 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 174 569 0 18294 0 0
normalized size 1 1. 0.87 2.86 0. 91.93 0. 0.
time (sec) N/A 0.199 1.012 0.122 0. 10.174 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 367 367 262 743 0 0 0 0
normalized size 1 1. 0.71 2.02 0. 0. 0. 0.
time (sec) N/A 0.471 2.873 0.074 0. 0. 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 213 535 0 0 0 0
normalized size 1 1. 0.9 2.27 0. 0. 0. 0.
time (sec) N/A 0.325 1.363 0.071 0. 0. 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 169 416 0 0 0 0
normalized size 1 1. 0.97 2.39 0. 0. 0. 0.
time (sec) N/A 0.194 0.679 0.069 0. 0. 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 155 243 0 0 0 0
normalized size 1 1. 0.76 1.19 0. 0. 0. 0.
time (sec) N/A 0.211 1.047 0.079 0. 0. 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 213 454 0 0 0 0
normalized size 1 1. 0.8 1.7 0. 0. 0. 0.
time (sec) N/A 0.306 4.061 0.087 0. 0. 0. 0.
Problem 87 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 232 232 208 609 0 0 0 0
normalized size 1 1. 0.9 2.62 0. 0. 0. 0.
time (sec) N/A 0.304 1.394 0.085 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 14 15 12 0 15
normalized size 1 1. 1. 1.27 1.36 1.09 0. 1.36
time (sec) N/A 0.024 0.007 0.049 1.558 1.874 0. 1.257
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B C F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 15 34 38 0 15
normalized size 1 1. 1. 1.15 2.62 2.92 0. 1.15
time (sec) N/A 0.026 0.005 0.033 1.553 1.768 0. 1.301
Problem 90 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 11 11 11 51 0 0 0 0
normalized size 1 1. 1. 4.64 0. 0. 0. 0.
time (sec) N/A 0.01 0.024 0.07 0. 0. 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 61 0 0 0 0
normalized size 1 1. 1. 1.85 0. 0. 0. 0.
time (sec) N/A 0.02 0.033 0.064 0. 0. 0. 0.
Problem 92 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 42 42 54 109 0 0 0 0
normalized size 1 1. 1.29 2.6 0. 0. 0. 0.
time (sec) N/A 0.032 0.044 0.067 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 23 21 31 62 0 34
normalized size 1 1. 0.79 0.72 1.07 2.14 0. 1.17
time (sec) N/A 0.026 0.02 0.041 1.558 1.788 0. 1.227
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B C F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 25 21 72 81 0 34
normalized size 1 1. 0.76 0.64 2.18 2.45 0. 1.03
time (sec) N/A 0.029 0.006 0.043 1.55 1.806 0. 1.199
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 103 0 0 0 0
normalized size 1 1. 1. 2.29 0. 0. 0. 0.
time (sec) N/A 0.064 0.069 0.077 0. 0. 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 78 106 0 0 0 0
normalized size 1 1. 0.9 1.22 0. 0. 0. 0.
time (sec) N/A 0.086 0.122 0.079 0. 0. 0. 0.
Problem 97 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 123 123 132 329 0 0 0 0
normalized size 1 1. 1.07 2.67 0. 0. 0. 0.
time (sec) N/A 0.163 0.379 0.07 0. 0. 0. 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 98 204 0 5576 0 0
normalized size 1 1. 1.18 2.46 0. 67.18 0. 0.
time (sec) N/A 0.099 0.269 0.109 0. 2.562 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 49 108 0 4286 0 0
normalized size 1 1. 1.2 2.63 0. 104.54 0. 0.
time (sec) N/A 0.051 0.109 0.054 0. 2.362 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 49 113 0 1561 0 143
normalized size 1 1. 1.17 2.69 0. 37.17 0. 3.4
time (sec) N/A 0.08 0.178 0.069 0. 2.077 0. 1.401
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 102 232 0 3468 0 0
normalized size 1 1. 1.15 2.61 0. 38.97 0. 0.
time (sec) N/A 0.115 0.319 0.091 0. 2.567 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 168 344 0 0 0 0
normalized size 1 1. 0.73 1.5 0. 0. 0. 0.
time (sec) N/A 0.218 0.952 0.068 0. 0. 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 89 113 0 0 0 0
normalized size 1 1. 0.7 0.88 0. 0. 0. 0.
time (sec) N/A 0.136 0.257 0.066 0. 0. 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 68 86 0 0 0 0
normalized size 1 1. 1.13 1.43 0. 0. 0. 0.
time (sec) N/A 0.036 0.081 0.047 0. 0. 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 150 189 0 0 0 0
normalized size 1 1. 1.12 1.41 0. 0. 0. 0.
time (sec) N/A 0.149 0.515 0.079 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 201 456 0 0 0 0
normalized size 1 1. 0.75 1.71 0. 0. 0. 0.
time (sec) N/A 0.284 3.795 0.098 0. 0. 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 98 146 0 7602 0 0
normalized size 1 1. 1.18 1.76 0. 91.59 0. 0.
time (sec) N/A 0.112 0.422 0.109 0. 3.168 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 43 32 319 738 0 207
normalized size 1 1. 1.19 0.89 8.86 20.5 0. 5.75
time (sec) N/A 0.053 0.155 0.051 1.606 2.172 0. 1.229
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 98 154 0 4082 0 331
normalized size 1 1. 1.17 1.83 0. 48.6 0. 3.94
time (sec) N/A 0.108 0.401 0.123 0. 2.585 0. 1.424
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 134 251 0 10539 0 0
normalized size 1 1. 0.96 1.81 0. 75.82 0. 0.
time (sec) N/A 0.182 0.712 0.132 0. 4.792 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 211 500 0 0 0 0
normalized size 1 1. 0.62 1.47 0. 0. 0. 0.
time (sec) N/A 0.341 1.252 0.102 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 156 313 0 0 0 0
normalized size 1 1. 0.61 1.22 0. 0. 0. 0.
time (sec) N/A 0.235 1.05 0.093 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 151 127 0 0 0 0
normalized size 1 1. 0.87 0.73 0. 0. 0. 0.
time (sec) N/A 0.212 0.481 0.084 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 100 252 0 0 0 0
normalized size 1 1. 0.87 2.19 0. 0. 0. 0.
time (sec) N/A 0.062 0.159 0.078 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 185 284 0 0 0 0
normalized size 1 1. 0.64 0.98 0. 0. 0. 0.
time (sec) N/A 0.31 1.262 0.104 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 130 230 0 18590 0 0
normalized size 1 1. 0.91 1.61 0. 130. 0. 0.
time (sec) N/A 0.166 0.871 0.16 0. 6.888 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 67 58 1251 2873 0 699
normalized size 1 1. 0.77 0.67 14.38 33.02 0. 8.03
time (sec) N/A 0.107 0.329 0.077 1.774 3.411 0. 1.339
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 63 57 655 2789 0 622
normalized size 1 1. 0.8 0.72 8.29 35.3 0. 7.87
time (sec) N/A 0.068 0.18 0.066 1.675 3.325 0. 1.378
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 130 236 0 12269 0 857
normalized size 1 1. 0.96 1.74 0. 90.21 0. 6.3
time (sec) N/A 0.171 0.798 0.176 0. 5.343 0. 1.518
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 207 868 0 0 0 0
normalized size 1 1. 0.6 2.52 0. 0. 0. 0.
time (sec) N/A 0.366 2.035 0.13 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 198 659 0 0 0 0
normalized size 1 1. 0.81 2.7 0. 0. 0. 0.
time (sec) N/A 0.249 1.609 0.107 0. 0. 0. 0.
Problem 122 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 241 241 187 598 0 0 0 0
normalized size 1 1. 0.78 2.48 0. 0. 0. 0.
time (sec) N/A 0.326 1.403 0.114 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 190 406 0 0 0 0
normalized size 1 1. 0.76 1.62 0. 0. 0. 0.
time (sec) N/A 0.28 1.32 0.198 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 234 747 0 0 0 0
normalized size 1 1. 0.61 1.94 0. 0. 0. 0.
time (sec) N/A 0.456 2.311 0.128 0. 0. 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 19 15 7 39 0 7
normalized size 1 1. 1.36 1.07 0.5 2.79 0. 0.5
time (sec) N/A 0.024 0.011 0.05 1.657 2.036 0. 1.146
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 41 0 0 0 0
normalized size 1 1. 1. 3.73 0. 0. 0. 0.
time (sec) N/A 0.011 0.04 0.147 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 61 0 0 0 0
normalized size 1 1. 1. 1.85 0. 0. 0. 0.
time (sec) N/A 0.022 0.041 0.068 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B C C F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 21 34 7 39 0 7
normalized size 1 1. 1.31 2.12 0.44 2.44 0. 0.44
time (sec) N/A 0.024 0.008 0.04 1.925 1.775 0. 1.15
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 53 63 0 0 0 0
normalized size 1 1. 1.26 1.5 0. 0. 0. 0.
time (sec) N/A 0.033 0.051 0.059 0. 0. 0. 0.
Problem 130 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 128 128 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.116 8.657 0.641 0. 0. 0. 0.
Problem 131 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 226 226 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.259 11.434 0.629 0. 0. 0. 0.
Problem 132 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 137 137 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.123 15.097 0.436 0. 0. 0. 0.
Problem 133 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 78 78 78 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.207 0.331 0. 0. 0. 0.
Problem 134 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 88 88 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 4.189 0.264 0. 0. 0. 0.
Problem 135 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 87 87 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 7.895 0.294 0. 0. 0. 0.
Problem 136 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 88 88 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 15.005 0.273 0. 0. 0. 0.
Problem 137 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 103 103 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 10.263 0.497 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 250 0 0 0 0 0
normalized size 1 1. 2.48 0. 0. 0. 0. 0.
time (sec) N/A 0.192 0.745 0.356 0. 0. 0. 0.
Problem 139 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 99 99 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.104 5.551 0.26 0. 0. 0. 0.
Problem 140 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 103 103 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 10.55 0.249 0. 0. 0. 0.
Problem 141 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 106 106 81 82 221 539 192 213
normalized size 1 1. 0.76 0.77 2.08 5.08 1.81 2.01
time (sec) N/A 0.094 0.103 0.016 1.197 1.931 8.107 1.212
Problem 142 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 99 99 66 72 193 375 194 177
normalized size 1 1. 0.67 0.73 1.95 3.79 1.96 1.79
time (sec) N/A 0.108 0.129 0.015 1.116 1.884 4.725 1.153
Problem 143 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 70 70 79 60 162 302 117 149
normalized size 1 1. 1.13 0.86 2.31 4.31 1.67 2.13
time (sec) N/A 0.071 0.095 0.013 1.118 2.054 2.307 1.165
Problem 144 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 60 60 45 50 100 171 121 113
normalized size 1 1. 0.75 0.83 1.67 2.85 2.02 1.88
time (sec) N/A 0.068 0.126 0.014 1.151 1.802 1.248 1.172
Problem 145 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 32 32 34 28 80 128 41 72
normalized size 1 1. 1.06 0.88 2.5 4. 1.28 2.25
time (sec) N/A 0.021 0.011 0.005 1.155 1.905 0.55 1.124
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 72 40 68 721 0 97
normalized size 1 1. 1.8 1. 1.7 18.02 0. 2.42
time (sec) N/A 0.056 0.054 0.036 1.145 1.998 0. 1.139
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 35 23 63 103 0 84
normalized size 1 1. 1.46 0.96 2.62 4.29 0. 3.5
time (sec) N/A 0.05 0.029 0.036 1.135 1.951 0. 1.204
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 63 37 123 1413 0 108
normalized size 1 1. 1.62 0.95 3.15 36.23 0. 2.77
time (sec) N/A 0.063 0.013 0.04 1.099 2.126 0. 1.161
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 76 36 177 1773 0 88
normalized size 1 1. 1.85 0.88 4.32 43.24 0. 2.15
time (sec) N/A 0.057 0.03 0.043 1.162 2.029 0. 1.194
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 125 128 367 973 325 369
normalized size 1 1. 0.65 0.67 1.91 5.07 1.69 1.92
time (sec) N/A 0.179 0.683 0.02 1.189 1.918 31.015 1.269
Problem 151 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 180 180 133 122 320 734 340 317
normalized size 1 1. 0.74 0.68 1.78 4.08 1.89 1.76
time (sec) N/A 0.154 0.13 0.021 1.152 1.909 15.338 1.251
Problem 152 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 130 130 92 96 243 594 219 266
normalized size 1 1. 0.71 0.74 1.87 4.57 1.68 2.05
time (sec) N/A 0.119 0.41 0.019 1.073 1.903 8.429 1.203
Problem 153 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 114 114 94 85 204 421 212 212
normalized size 1 1. 0.82 0.75 1.79 3.69 1.86 1.86
time (sec) N/A 0.083 0.146 0.017 1.142 1.987 5.482 1.128
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 96 76 189 2851 0 240
normalized size 1 1. 1.09 0.86 2.15 32.4 0. 2.73
time (sec) N/A 0.102 0.302 0.056 1.176 2.16 0. 1.254
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 92 65 153 360 0 224
normalized size 1 1. 1.12 0.79 1.87 4.39 0. 2.73
time (sec) N/A 0.098 0.285 0.046 1.076 1.912 0. 1.229
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 105 63 205 4246 0 244
normalized size 1 1. 1.36 0.82 2.66 55.14 0. 3.17
time (sec) N/A 0.105 0.031 0.059 1.22 2.207 0. 1.229
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 81 65 230 4551 0 219
normalized size 1 1. 1.07 0.86 3.03 59.88 0. 2.88
time (sec) N/A 0.091 0.399 0.069 1.26 2.081 0. 1.253
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 149 66 254 5495 0 246
normalized size 1 1. 1.66 0.73 2.82 61.06 0. 2.73
time (sec) N/A 0.132 0.038 0.109 1.122 2.27 0. 1.267
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 197 73 409 6268 0 197
normalized size 1 1. 2.24 0.83 4.65 71.23 0. 2.24
time (sec) N/A 0.103 0.941 0.108 1.153 2.312 0. 1.248
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 235 90 427 9393 0 281
normalized size 1 1. 1.77 0.68 3.21 70.62 0. 2.11
time (sec) N/A 0.175 0.053 0.099 1.197 2.284 0. 1.215
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 194 188 522 1546 498 545
normalized size 1 1. 0.67 0.65 1.79 5.31 1.71 1.87
time (sec) N/A 0.209 0.477 0.06 1.09 1.931 83.459 1.442
Problem 162 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 267 267 184 168 429 1193 496 474
normalized size 1 1. 0.69 0.63 1.61 4.47 1.86 1.78
time (sec) N/A 0.222 0.459 0.023 1.147 2.006 97.203 1.476
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 159 141 378 1017 340 405
normalized size 1 1. 0.78 0.69 1.85 4.99 1.67 1.99
time (sec) N/A 0.128 0.251 0.02 1.177 1.813 33.478 1.163
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 158 138 347 7191 0 427
normalized size 1 1. 0.79 0.69 1.73 35.78 0. 2.12
time (sec) N/A 0.189 0.219 0.072 1.184 2.071 0. 1.407
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 140 111 297 809 0 410
normalized size 1 1. 0.92 0.73 1.95 5.32 0. 2.7
time (sec) N/A 0.138 1.144 0.06 1.201 1.871 0. 1.448
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 150 115 329 9546 0 428
normalized size 1 1. 0.96 0.74 2.11 61.19 0. 2.74
time (sec) N/A 0.169 3.702 0.066 1.173 2.618 0. 1.452
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 169 101 351 10166 0 419
normalized size 1 1. 1.31 0.78 2.72 78.81 0. 3.25
time (sec) N/A 0.12 0.445 0.077 1.208 2.437 0. 1.437
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 218 108 344 11867 0 475
normalized size 1 1. 1.47 0.73 2.32 80.18 0. 3.21
time (sec) N/A 0.173 6.132 0.078 1.161 2.602 0. 1.409
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 225 99 493 12388 0 389
normalized size 1 1. 1.72 0.76 3.76 94.56 0. 2.97
time (sec) N/A 0.125 1.846 0.085 1.087 2.366 0. 1.442
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 236 119 479 16188 0 455
normalized size 1 1. 1.42 0.72 2.89 97.52 0. 2.74
time (sec) N/A 0.197 1.552 0.083 1.084 2.782 0. 1.461
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 328 328 168 259 0 0 0 0
normalized size 1 1. 0.51 0.79 0. 0. 0. 0.
time (sec) N/A 0.739 0.349 0.066 0. 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 299 207 0 0 0 0
normalized size 1 1. 1.01 0.7 0. 0. 0. 0.
time (sec) N/A 0.559 0.316 0.06 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 214 128 0 0 0 0
normalized size 1 1. 0.71 0.42 0. 0. 0. 0.
time (sec) N/A 0.545 0.345 0.052 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 145 129 0 0 0 0
normalized size 1 1. 0.49 0.44 0. 0. 0. 0.
time (sec) N/A 0.44 0.231 0.043 0. 0. 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 275 78 0 0 0 0
normalized size 1 1. 1.05 0.3 0. 0. 0. 0.
time (sec) N/A 0.271 0.178 0.042 0. 0. 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 199 82 0 0 0 0
normalized size 1 1. 0.69 0.28 0. 0. 0. 0.
time (sec) N/A 0.336 0.236 0.038 0. 0. 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 131 87 0 0 0 0
normalized size 1 1. 0.47 0.31 0. 0. 0. 0.
time (sec) N/A 0.251 0.174 0.04 0. 0. 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 295 100 0 0 0 0
normalized size 1 1. 1.03 0.35 0. 0. 0. 0.
time (sec) N/A 0.432 0.254 0.072 0. 0. 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 304 304 230 123 0 0 0 0
normalized size 1 1. 0.76 0.4 0. 0. 0. 0.
time (sec) N/A 0.478 0.39 0.075 0. 0. 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 178 146 0 0 0 0
normalized size 1 1. 0.55 0.45 0. 0. 0. 0.
time (sec) N/A 0.457 0.497 0.089 0. 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 317 370 178 0 0 0 0
normalized size 1 1. 1.17 0.56 0. 0. 0. 0.
time (sec) N/A 0.433 6.062 0.087 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 156 82 0 591 1423 140
normalized size 1 1. 1.12 0.59 0. 4.25 10.24 1.01
time (sec) N/A 0.188 1.399 0.029 0. 1.935 174.633 1.163
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 156 80 0 590 3742 146
normalized size 1 1. 1.17 0.6 0. 4.44 28.14 1.1
time (sec) N/A 0.189 1.219 0.029 0. 1.851 72.418 1.18
Problem 184 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 111 111 82 98 236 467 306 258
normalized size 1 1. 0.74 0.88 2.13 4.21 2.76 2.32
time (sec) N/A 0.143 0.142 0.014 1.141 1.63 14.166 1.203
Problem 185 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 67 67 93 66 212 439 128 198
normalized size 1 1. 1.39 0.99 3.16 6.55 1.91 2.96
time (sec) N/A 0.066 0.029 0.014 1.129 1.635 8.487 1.162
Problem 186 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 83 83 63 76 165 292 206 193
normalized size 1 1. 0.76 0.92 1.99 3.52 2.48 2.33
time (sec) N/A 0.098 0.077 0.014 1.114 1.604 4.94 1.166
Problem 187 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 46 46 69 44 131 250 80 132
normalized size 1 1. 1.5 0.96 2.85 5.43 1.74 2.87
time (sec) N/A 0.034 0.022 0.013 1.056 1.67 2.538 1.186
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 49 44 89 155 100 99
normalized size 1 1. 0.94 0.85 1.71 2.98 1.92 1.9
time (sec) N/A 0.034 0.054 0.005 1.164 1.619 1.248 1.129
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 70 36 96 1100 0 126
normalized size 1 1. 1.67 0.86 2.29 26.19 0. 3.
time (sec) N/A 0.043 0.024 0.029 1.161 1.69 0. 1.181
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 45 39 73 185 0 124
normalized size 1 1. 1.15 1. 1.87 4.74 0. 3.18
time (sec) N/A 0.052 0.119 0.03 1.16 1.672 0. 1.154
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 82 38 155 1867 0 155
normalized size 1 1. 1.74 0.81 3.3 39.72 0. 3.3
time (sec) N/A 0.054 0.026 0.04 1.237 1.742 0. 1.199
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 40 33 131 333 0 61
normalized size 1 1. 1.29 1.06 4.23 10.74 0. 1.97
time (sec) N/A 0.05 0.015 0.039 1.165 1.673 0. 1.162
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 139 54 235 3906 0 174
normalized size 1 1. 2.17 0.84 3.67 61.03 0. 2.72
time (sec) N/A 0.063 0.029 0.039 1.04 1.86 0. 1.165
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 71 45 308 903 0 131
normalized size 1 1. 1.51 0.96 6.55 19.21 0. 2.79
time (sec) N/A 0.043 0.034 0.036 1.043 1.661 0. 1.149
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 199 78 362 8357 0 285
normalized size 1 1. 2.16 0.85 3.93 90.84 0. 3.1
time (sec) N/A 0.084 0.035 0.041 1.056 1.881 0. 1.174
Problem 196 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 120 120 207 132 414 1111 280 443
normalized size 1 1. 1.72 1.1 3.45 9.26 2.33 3.69
time (sec) N/A 0.129 0.064 0.023 1.046 1.632 74.891 1.32
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 139 148 351 802 484 428
normalized size 1 1. 0.86 0.92 2.18 4.98 3.01 2.66
time (sec) N/A 0.281 0.352 0.022 1.102 1.651 60.839 1.348
Problem 198 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 92 92 164 100 305 740 204 331
normalized size 1 1. 1.78 1.09 3.32 8.04 2.22 3.6
time (sec) N/A 0.086 0.044 0.021 1.047 1.632 43.727 1.277
Problem 199 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 125 125 92 111 247 522 332 319
normalized size 1 1. 0.74 0.89 1.98 4.18 2.66 2.55
time (sec) N/A 0.162 0.166 0.017 1.117 1.629 19.201 1.19
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 146 82 239 4263 0 301
normalized size 1 1. 1.59 0.89 2.6 46.34 0. 3.27
time (sec) N/A 0.093 0.041 0.039 1.051 1.921 0. 1.303
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 77 91 197 562 0 273
normalized size 1 1. 0.75 0.88 1.91 5.46 0. 2.65
time (sec) N/A 0.194 0.306 0.038 1.088 1.708 0. 1.293
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 144 74 275 6047 0 275
normalized size 1 1. 1.57 0.8 2.99 65.73 0. 2.99
time (sec) N/A 0.135 0.046 0.048 1.118 1.982 0. 1.284
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 68 75 223 761 0 207
normalized size 1 1. 0.75 0.82 2.45 8.36 0. 2.27
time (sec) N/A 0.165 0.325 0.044 1.048 1.748 0. 1.317
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 186 79 316 8741 0 262
normalized size 1 1. 1.84 0.78 3.13 86.54 0. 2.59
time (sec) N/A 0.151 0.043 0.057 1.126 2.072 0. 1.318
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 67 74 360 1185 0 234
normalized size 1 1. 0.8 0.88 4.29 14.11 0. 2.79
time (sec) N/A 0.146 0.635 0.049 1.065 1.714 0. 1.279
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 240 92 404 11957 0 338
normalized size 1 1. 2.16 0.83 3.64 107.72 0. 3.05
time (sec) N/A 0.174 0.036 0.048 1.041 2.119 0. 1.278
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 288 258 810 2898 0 934
normalized size 1 1. 1.31 1.17 3.68 13.17 0. 4.25
time (sec) N/A 0.218 2.266 0.096 1.076 1.787 0. 1.794
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 185 218 676 2207 0 779
normalized size 1 1. 1.01 1.19 3.69 12.06 0. 4.26
time (sec) N/A 0.175 2.47 0.059 1.08 1.731 0. 1.721
Problem 209 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 143 143 157 176 539 1620 377 621
normalized size 1 1. 1.1 1.23 3.77 11.33 2.64 4.34
time (sec) N/A 0.157 0.901 0.02 1.045 1.736 169.693 1.678
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 139 148 441 10637 0 570
normalized size 1 1. 0.88 0.94 2.79 67.32 0. 3.61
time (sec) N/A 0.135 0.381 0.039 1.066 2.04 0. 1.65
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 155 130 451 13697 0 455
normalized size 1 1. 1.05 0.88 3.05 92.55 0. 3.07
time (sec) N/A 0.209 0.34 0.049 1.079 2.122 0. 1.669
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 173 125 459 17403 0 404
normalized size 1 1. 1.22 0.88 3.23 122.56 0. 2.85
time (sec) N/A 0.273 0.383 0.046 1.058 2.428 0. 1.743
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 223 128 527 22631 0 463
normalized size 1 1. 1.43 0.82 3.38 145.07 0. 2.97
time (sec) N/A 0.304 0.703 0.047 1.114 2.397 0. 1.684
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 219 143 625 30027 0 473
normalized size 1 1. 1.28 0.84 3.65 175.6 0. 2.77
time (sec) N/A 0.332 1.694 0.083 1.132 2.77 0. 1.703
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 265 166 774 0 0 653
normalized size 1 1. 1.4 0.88 4.1 0. 0. 3.46
time (sec) N/A 0.369 2.473 0.081 1.148 0. 0. 1.704
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 246 202 972 0 0 730
normalized size 1 1. 1.12 0.92 4.42 0. 0. 3.32
time (sec) N/A 0.398 2.069 0.085 1.152 0. 0. 1.651
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 255 189 240 597 1688 0 756
normalized size 1 1. 0.74 0.94 2.34 6.62 0. 2.96
time (sec) N/A 0.557 0.68 0.054 1.218 1.405 0. 1.703
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 156 193 464 1200 666 601
normalized size 1 1. 0.74 0.91 2.2 5.69 3.16 2.85
time (sec) N/A 0.387 0.39 0.056 1.112 1.484 103.123 1.141
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 134 163 383 1247 0 531
normalized size 1 1. 0.74 0.9 2.12 6.89 0. 2.93
time (sec) N/A 0.438 0.771 0.039 1.092 1.445 0. 1.704
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 131 137 381 1476 0 423
normalized size 1 1. 0.81 0.85 2.37 9.17 0. 2.63
time (sec) N/A 0.384 0.782 0.048 1.108 1.368 0. 1.704
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 110 126 485 2006 0 414
normalized size 1 1. 0.74 0.85 3.28 13.55 0. 2.8
time (sec) N/A 0.355 1.16 0.046 1.066 1.523 0. 1.707
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 106 121 725 2464 0 356
normalized size 1 1. 0.8 0.91 5.45 18.53 0. 2.68
time (sec) N/A 0.289 0.692 0.089 1.148 1.493 0. 1.707
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 115 130 1137 3646 0 495
normalized size 1 1. 0.82 0.93 8.12 26.04 0. 3.54
time (sec) N/A 0.223 0.579 0.084 1.217 1.567 0. 1.715
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 239 145 1743 4510 0 485
normalized size 1 1. 1.63 0.99 11.86 30.68 0. 3.3
time (sec) N/A 0.149 6.105 0.086 1.24 1.721 0. 1.699
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 350 177 2587 6778 0 760
normalized size 1 1. 2.43 1.23 17.97 47.07 0. 5.28
time (sec) N/A 0.131 3.207 0.098 1.304 1.803 0. 1.667
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 404 218 3687 8951 0 838
normalized size 1 1. 2.22 1.2 20.26 49.18 0. 4.6
time (sec) N/A 0.159 4.51 0.085 1.381 1.89 0. 1.707
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 494 258 5021 11491 0 917
normalized size 1 1. 2.24 1.17 22.72 52. 0. 4.15
time (sec) N/A 0.192 6.181 0.085 1.297 1.909 0. 1.654
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 548 298 6592 13925 0 995
normalized size 1 1. 2.21 1.2 26.58 56.15 0. 4.01
time (sec) N/A 0.223 6.168 0.09 1.29 2.261 0. 1.664
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 390 270 0 3729 0 0
normalized size 1 1. 2.64 1.82 0. 25.2 0. 0.
time (sec) N/A 0.254 0.336 0.082 0. 2.639 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 235 175 0 2755 0 0
normalized size 1 1. 1.69 1.26 0. 19.82 0. 0.
time (sec) N/A 0.198 0.26 0.048 0. 2.111 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 365 142 0 2202 0 0
normalized size 1 1. 3.17 1.23 0. 19.15 0. 0.
time (sec) N/A 0.115 0.177 0.029 0. 1.902 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 221 126 0 2256 0 0
normalized size 1 1. 1.77 1.01 0. 18.05 0. 0.
time (sec) N/A 0.104 0.168 0.04 0. 1.981 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 385 159 0 2431 0 0
normalized size 1 1. 2.83 1.17 0. 17.88 0. 0.
time (sec) N/A 0.163 0.249 0.053 0. 2.261 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 265 190 0 4716 0 0
normalized size 1 1. 1.44 1.03 0. 25.63 0. 0.
time (sec) N/A 0.201 0.379 0.066 0. 2.586 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 158 223 0 3123 0 82
normalized size 1 1. 0.9 1.27 0. 17.85 0. 0.47
time (sec) N/A 0.258 0.867 0.051 0. 2.398 0. 1.308
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 143 144 0 2128 0 18
normalized size 1 1. 1.13 1.13 0. 16.76 0. 0.14
time (sec) N/A 0.206 0.45 0.033 0. 2.164 0. 1.323
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 127 94 0 2130 0 1
normalized size 1 1. 1.02 0.75 0. 17.04 0. 0.01
time (sec) N/A 0.121 0.349 0.031 0. 2.213 0. 1.616
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 128 102 0 2130 0 0
normalized size 1 1. 1.11 0.89 0. 18.52 0. 0.
time (sec) N/A 0.098 0.239 0.033 0. 2.163 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 143 135 0 2840 0 28
normalized size 1 1. 1.03 0.97 0. 20.43 0. 0.2
time (sec) N/A 0.181 0.814 0.059 0. 2.286 0. 2.003
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 165 179 0 5195 0 46
normalized size 1 1. 1.11 1.21 0. 35.1 0. 0.31
time (sec) N/A 0.211 2.193 0.075 0. 2.219 0. 2.853
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 615 1191 0 17667 0 0
normalized size 1 1. 2.62 5.07 0. 75.18 0. 0.
time (sec) N/A 0.486 0.949 0.082 0. 3.045 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 737 1200 0 14307 0 0
normalized size 1 1. 3.51 5.71 0. 68.13 0. 0.
time (sec) N/A 0.37 0.663 0.184 0. 2.538 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 597 1116 0 13905 0 0
normalized size 1 1. 2.75 5.14 0. 64.08 0. 0.
time (sec) N/A 0.294 0.551 0.077 0. 2.66 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 422 767 0 11888 0 0
normalized size 1 1. 2.27 4.12 0. 63.91 0. 0.
time (sec) N/A 0.205 0.485 0.058 0. 2.364 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 597 1112 0 13570 0 0
normalized size 1 1. 2.7 5.03 0. 61.4 0. 0.
time (sec) N/A 0.299 0.354 0.072 0. 2.731 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 761 966 0 17785 0 0
normalized size 1 1. 2.34 2.97 0. 54.72 0. 0.
time (sec) N/A 0.361 0.838 0.096 0. 4.222 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 320 320 262 574 0 15757 0 201
normalized size 1 1. 0.82 1.79 0. 49.24 0. 0.63
time (sec) N/A 0.461 4.637 0.063 0. 3.88 0. 1.193
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 238 716 0 13423 0 205
normalized size 1 1. 1.02 3.07 0. 57.61 0. 0.88
time (sec) N/A 0.338 2.59 0.054 0. 3.555 0. 4.439
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 225 490 0 12467 0 171
normalized size 1 1. 1.15 2.51 0. 63.93 0. 0.88
time (sec) N/A 0.249 4.137 0.046 0. 2.729 0. 4.337
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 253 708 0 14390 0 205
normalized size 1 1. 1.15 3.22 0. 65.41 0. 0.93
time (sec) N/A 0.298 2.064 0.069 0. 3.52 0. 4.23
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 230 534 0 14862 0 171
normalized size 1 1. 1.1 2.54 0. 70.77 0. 0.81
time (sec) N/A 0.246 2.932 0.062 0. 3.535 0. 4.289
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 272 765 0 20254 0 321
normalized size 1 1. 1.15 3.23 0. 85.46 0. 1.35
time (sec) N/A 0.534 1.873 0.09 0. 4.285 0. 5.799
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 1021 3542 0 0 0 0
normalized size 1 1. 3.24 11.24 0. 0. 0. 0.
time (sec) N/A 0.577 1.689 0.099 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 802 2563 0 0 0 0
normalized size 1 1. 2.77 8.84 0. 0. 0. 0.
time (sec) N/A 0.467 1.295 0.088 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 1019 3511 0 0 0 0
normalized size 1 1. 3.26 11.22 0. 0. 0. 0.
time (sec) N/A 0.498 1.91 0.096 0. 0. 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 802 2916 0 0 0 0
normalized size 1 1. 2.78 10.12 0. 0. 0. 0.
time (sec) N/A 0.519 1.3 0.082 0. 0. 0. 0.
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 1018 3512 0 0 0 0
normalized size 1 1. 3.25 11.22 0. 0. 0. 0.
time (sec) N/A 0.463 1.367 0.106 0. 0. 0. 0.
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 617 617 1189 3159 0 0 0 0
normalized size 1 1. 1.93 5.12 0. 0. 0. 0.
time (sec) N/A 0.819 5.757 0.138 0. 0. 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 331 2236 0 0 0 527
normalized size 1 1. 1.04 7.01 0. 0. 0. 1.65
time (sec) N/A 0.485 3.953 0.092 0. 0. 0. 17.417
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 351 2681 0 0 0 609
normalized size 1 1. 1.02 7.77 0. 0. 0. 1.77
time (sec) N/A 0.733 3.307 0.088 0. 0. 0. 18.204
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 314 314 316 2214 0 0 0 489
normalized size 1 1. 1.01 7.05 0. 0. 0. 1.56
time (sec) N/A 0.648 4.751 0.083 0. 0. 0. 17.54
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 343 2670 0 0 0 608
normalized size 1 1. 0.99 7.67 0. 0. 0. 1.75
time (sec) N/A 0.664 4.873 0.095 0. 0. 0. 17.205
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 333 2290 0 0 0 529
normalized size 1 1. 1.04 7.16 0. 0. 0. 1.65
time (sec) N/A 0.609 2.988 0.103 0. 0. 0. 17.829
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 359 357 2747 0 0 0 660
normalized size 1 1. 0.99 7.65 0. 0. 0. 1.84
time (sec) N/A 1.158 3.456 0.158 0. 0. 0. 23.584
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 24 55 93 382 0 65
normalized size 1 1. 0.96 2.2 3.72 15.28 0. 2.6
time (sec) N/A 0.018 0.1 0.02 1.541 2.041 0. 1.149
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 45 44 0 1874 0 293
normalized size 1 1. 0.26 0.25 0. 10.65 0. 1.66
time (sec) N/A 0.159 0.072 0.024 0. 2.257 0. 1.242
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 435 435 141 113 0 0 0 0
normalized size 1 1. 0.32 0.26 0. 0. 0. 0.
time (sec) N/A 0.975 0.326 0.032 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 134 128 0 0 0 1
normalized size 1 1. 0.77 0.73 0. 0. 0. 0.01
time (sec) N/A 0.279 0.169 0.03 0. 0. 0. 1.379
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 160 162 0 0 0 1
normalized size 1 1. 0.65 0.66 0. 0. 0. 0.
time (sec) N/A 0.517 0.246 0.033 0. 0. 0. 1.904
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 439 124 0 11367 0 0
normalized size 1 1. 1.81 0.51 0. 46.97 0. 0.
time (sec) N/A 0.518 0.916 0.033 0. 3.486 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 87 61 0 2303 0 14
normalized size 1 1. 1.23 0.86 0. 32.44 0. 0.2
time (sec) N/A 0.138 0.201 0.033 0. 1.847 0. 1.274
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 127 64 0 11979 0 1
normalized size 1 1. 0.98 0.5 0. 92.86 0. 0.01
time (sec) N/A 0.198 0.123 0.036 0. 2.875 0. 1.279
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 437 124 0 11359 0 0
normalized size 1 1. 1.92 0.54 0. 49.82 0. 0.
time (sec) N/A 0.417 0.868 0.036 0. 4.086 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 70 160 0 505 0 193
normalized size 1 1. 0.84 1.93 0. 6.08 0. 2.33
time (sec) N/A 0.1 0.431 0.032 0. 1.744 0. 1.175
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 64 99 0 2198 0 65
normalized size 1 1. 0.93 1.43 0. 31.86 0. 0.94
time (sec) N/A 0.077 0.483 0.033 0. 1.858 0. 1.389
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 19 67 46 65 124 39
normalized size 1 1. 1.06 3.72 2.56 3.61 6.89 2.17
time (sec) N/A 0.052 0.003 0.025 1.031 1.476 10.048 1.141
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 18 78 34 39 153 38
normalized size 1 1. 0.9 3.9 1.7 1.95 7.65 1.9
time (sec) N/A 0.05 0.002 0.022 1.053 1.462 6.117 1.131
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 23 15 17 19
normalized size 1 1. 1. 1.17 3.83 2.5 2.83 3.17
time (sec) N/A 0.044 0.002 0.012 1.171 1.441 3.295 1.11
Problem 279 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 5 5 5 11 7 7 2 7
normalized size 1 1. 1. 2.2 1.4 1.4 0.4 1.4
time (sec) N/A 0.042 0. 0.012 1.114 1.423 1.772 1.155
Problem 280 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 7 7 12 8 14 42 5 11
normalized size 1 1. 1.71 1.14 2. 6. 0.71 1.57
time (sec) N/A 0.028 0.003 0.008 1.576 1.446 0.251 1.108
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 20 50 54 522 0 70
normalized size 1 1. 0.91 2.27 2.45 23.73 0. 3.18
time (sec) N/A 0.045 0.004 0.021 1.523 1.487 0. 1.137
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 34 94 93 1607 0 90
normalized size 1 1. 0.97 2.69 2.66 45.91 0. 2.57
time (sec) N/A 0.06 0.004 0.026 1.517 1.491 0. 1.158
Problem 283 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 89 89 63 95 205 306 250 221
normalized size 1 1. 0.71 1.07 2.3 3.44 2.81 2.48
time (sec) N/A 0.057 0.168 0.059 1.013 1.488 4.286 1.2
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 48 65 184 220 85 166
normalized size 1 1. 1.04 1.41 4. 4.78 1.85 3.61
time (sec) N/A 0.042 0.139 0.053 1.013 1.482 2.047 1.174
Problem 285 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 61 61 43 70 103 153 150 124
normalized size 1 1. 0.7 1.15 1.69 2.51 2.46 2.03
time (sec) N/A 0.049 0.07 0.026 1.007 1.459 1.14 1.126
Problem 286 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 28 28 39 25 35 103 36 97
normalized size 1 1. 1.39 0.89 1.25 3.68 1.29 3.46
time (sec) N/A 0.022 0.012 0.01 1.033 1.449 0.487 1.133
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 37 39 76 282 0 61
normalized size 1 1. 1.32 1.39 2.71 10.07 0. 2.18
time (sec) N/A 0.032 0.014 0.028 1.519 1.515 0. 1.128
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 36 29 63 101 0 46
normalized size 1 1. 1.89 1.53 3.32 5.32 0. 2.42
time (sec) N/A 0.034 0.014 0.056 1.05 1.51 0. 1.151
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 71 82 184 903 0 143
normalized size 1 1. 1.69 1.95 4.38 21.5 0. 3.4
time (sec) N/A 0.04 0.023 0.069 1.525 1.523 0. 1.184
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 44 65 250 427 0 63
normalized size 1 1. 1.38 2.03 7.81 13.34 0. 1.97
time (sec) N/A 0.034 0.007 0.062 1.045 1.387 0. 1.186
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 60 124 308 2838 0 209
normalized size 1 1. 0.86 1.77 4.4 40.54 0. 2.99
time (sec) N/A 0.047 0.149 0.072 1.537 1.6 0. 1.152
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 102 85 656 930 0 112
normalized size 1 1. 1.89 1.57 12.15 17.22 0. 2.07
time (sec) N/A 0.047 0.05 0.066 1.07 1.458 0. 1.155
Problem 293 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 159 159 98 172 304 532 481 354
normalized size 1 1. 0.62 1.08 1.91 3.35 3.03 2.23
time (sec) N/A 0.174 0.309 0.031 1.11 1.49 12.886 1.234
Problem 294 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 74 74 64 128 327 463 136 332
normalized size 1 1. 0.86 1.73 4.42 6.26 1.84 4.49
time (sec) N/A 0.072 0.115 0.031 1.082 1.464 6.897 1.221
Problem 295 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 119 119 79 134 231 347 314 277
normalized size 1 1. 0.66 1.13 1.94 2.92 2.64 2.33
time (sec) N/A 0.143 0.295 0.032 1.152 1.447 4.585 1.186
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 41 61 261 58 221
normalized size 1 1. 0.9 0.84 1.24 5.33 1.18 4.51
time (sec) N/A 0.037 0.056 0.011 1.165 1.478 2.017 1.173
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 70 89 180 1143 0 159
normalized size 1 1. 1.27 1.62 3.27 20.78 0. 2.89
time (sec) N/A 0.058 0.228 0.038 1.724 1.604 0. 1.182
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 50 71 161 235 0 184
normalized size 1 1. 0.94 1.34 3.04 4.43 0. 3.47
time (sec) N/A 0.095 0.292 0.037 1.216 1.535 0. 1.189
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 64 64 253 169 316 1916 0 225
normalized size 1 1. 3.95 2.64 4.94 29.94 0. 3.52
time (sec) N/A 0.08 7.367 0.047 1.893 1.626 0. 1.204
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 57 96 360 495 0 132
normalized size 1 1. 1.21 2.04 7.66 10.53 0. 2.81
time (sec) N/A 0.063 0.332 0.046 1.116 1.482 0. 1.166
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 303 237 468 3672 0 297
normalized size 1 1. 3.16 2.47 4.88 38.25 0. 3.09
time (sec) N/A 0.093 5.946 0.051 1.725 1.592 0. 1.16
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 69 158 942 1040 0 173
normalized size 1 1. 1.21 2.77 16.53 18.25 0. 3.04
time (sec) N/A 0.06 0.373 0.048 1.127 1.46 0. 1.222
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 715 302 652 7356 0 394
normalized size 1 1. 5.46 2.31 4.98 56.15 0. 3.01
time (sec) N/A 0.133 10.168 0.082 1.791 1.714 0. 1.179
Problem 304 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 238 238 144 267 490 906 774 598
normalized size 1 1. 0.61 1.12 2.06 3.81 3.25 2.51
time (sec) N/A 0.332 0.521 0.032 1.104 1.497 34.767 1.262
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 83 209 471 787 182 506
normalized size 1 1. 0.85 2.13 4.81 8.03 1.86 5.16
time (sec) N/A 0.09 0.234 0.035 1.099 1.52 19.494 1.26
Problem 306 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 203 203 120 216 387 626 559 482
normalized size 1 1. 0.59 1.06 1.91 3.08 2.75 2.37
time (sec) N/A 0.268 0.302 0.032 1.12 1.481 13.704 1.279
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 59 56 85 512 75 387
normalized size 1 1. 0.88 0.84 1.27 7.64 1.12 5.78
time (sec) N/A 0.045 0.116 0.011 1.054 1.548 6.669 1.284
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 100 155 315 2795 0 309
normalized size 1 1. 1.16 1.8 3.66 32.5 0. 3.59
time (sec) N/A 0.076 0.531 0.056 1.695 1.622 0. 1.279
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 78 131 290 435 0 284
normalized size 1 1. 0.85 1.42 3.15 4.73 0. 3.09
time (sec) N/A 0.129 0.511 0.039 1.091 1.551 0. 1.308
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 347 286 482 4188 0 354
normalized size 1 1. 3.81 3.14 5.3 46.02 0. 3.89
time (sec) N/A 0.096 7.326 0.055 1.592 1.812 0. 1.43
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 84 148 516 788 0 290
normalized size 1 1. 1.02 1.8 6.29 9.61 0. 3.54
time (sec) N/A 0.108 0.738 0.054 1.144 1.598 0. 1.372
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 103 472 376 660 5520 0 412
normalized size 1 1. 4.58 3.65 6.41 53.59 0. 4.
time (sec) N/A 0.132 9.938 0.062 1.71 1.765 0. 1.358
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 86 199 1112 1287 0 288
normalized size 1 1. 1.16 2.69 15.03 17.39 0. 3.89
time (sec) N/A 0.08 0.732 0.058 1.242 1.568 0. 1.38
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 154 1192 467 872 9044 0 518
normalized size 1 1. 7.74 3.03 5.66 58.73 0. 3.36
time (sec) N/A 0.153 14.262 0.062 1.832 1.814 0. 1.296
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 163 289 2368 2063 0 351
normalized size 1 1. 2.04 3.61 29.6 25.79 0. 4.39
time (sec) N/A 0.074 0.569 0.089 1.281 1.54 0. 1.267
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 117 1656 0 7526 0 0
normalized size 1 1. 1.08 15.33 0. 69.69 0. 0.
time (sec) N/A 0.113 0.477 0.081 0. 1.859 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 106 1497 0 4566 0 320
normalized size 1 1. 0.88 12.37 0. 37.74 0. 2.64
time (sec) N/A 0.221 0.317 0.063 0. 1.759 0. 1.301
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 79 1148 0 3804 0 0
normalized size 1 1. 1.03 14.91 0. 49.4 0. 0.
time (sec) N/A 0.093 0.245 0.059 0. 1.72 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 80 993 0 2222 0 194
normalized size 1 1. 0.99 12.26 0. 27.43 0. 2.4
time (sec) N/A 0.133 0.15 0.054 0. 1.709 0. 1.33
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 50 732 0 1754 0 0
normalized size 1 1. 0.96 14.08 0. 33.73 0. 0.
time (sec) N/A 0.07 0.043 0.049 0. 1.613 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 577 0 1088 0 93
normalized size 1 1. 1. 11.54 0. 21.76 0. 1.86
time (sec) N/A 0.082 0.082 0.04 0. 1.625 0. 1.281
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 24 0 1207 128 0
normalized size 1 1. 1. 0.75 0. 37.72 4. 0.
time (sec) N/A 0.037 0.01 0.01 0. 1.573 5.011 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 481 0 1341 0 289
normalized size 1 1. 0.92 8.15 0. 22.73 0. 4.9
time (sec) N/A 0.067 0.126 0.058 0. 1.661 0. 1.431
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 335 0 1770 0 111
normalized size 1 1. 1. 5.58 0. 29.5 0. 1.85
time (sec) N/A 0.079 0.154 0.06 0. 1.631 0. 1.225
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 91 662 0 4370 0 0
normalized size 1 1. 0.99 7.2 0. 47.5 0. 0.
time (sec) N/A 0.105 0.222 0.068 0. 1.923 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 84 535 0 5762 0 192
normalized size 1 1. 0.95 6.08 0. 65.48 0. 2.18
time (sec) N/A 0.105 0.491 0.07 0. 1.82 0. 1.411
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 139 1023 0 13526 0 0
normalized size 1 1. 1.01 7.41 0. 98.01 0. 0.
time (sec) N/A 0.162 0.507 0.073 0. 2.41 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 119 907 0 14236 0 348
normalized size 1 1. 0.94 7.2 0. 112.98 0. 2.76
time (sec) N/A 0.147 0.894 0.075 0. 2.133 0. 1.42
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 118 1659 0 8500 0 421
normalized size 1 1. 0.75 10.5 0. 53.8 0. 2.66
time (sec) N/A 0.258 0.577 0.073 0. 1.906 0. 1.17
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 106 1403 0 6456 0 0
normalized size 1 1. 1.02 13.49 0. 62.08 0. 0.
time (sec) N/A 0.138 0.283 0.065 0. 1.822 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 108 1116 0 3749 0 243
normalized size 1 1. 1.08 11.16 0. 37.49 0. 2.43
time (sec) N/A 0.138 0.591 0.062 0. 1.752 0. 1.193
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 75 808 0 3937 0 0
normalized size 1 1. 0.97 10.49 0. 51.13 0. 0.
time (sec) N/A 0.078 0.327 0.057 0. 1.656 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 78 404 0 3321 0 173
normalized size 1 1. 0.99 5.11 0. 42.04 0. 2.19
time (sec) N/A 0.077 0.206 0.053 0. 1.68 0. 1.299
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 64 57 0 3372 428 0
normalized size 1 1. 0.97 0.86 0. 51.09 6.48 0.
time (sec) N/A 0.047 0.046 0.013 0. 1.632 31.67 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 174 1080 0 5192 0 0
normalized size 1 1. 1.64 10.19 0. 48.98 0. 0.
time (sec) N/A 0.108 0.377 0.082 0. 2.003 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 105 798 0 7185 0 200
normalized size 1 1. 0.92 7. 0. 63.03 0. 1.75
time (sec) N/A 0.179 0.855 0.075 0. 2.089 0. 2.441
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 230 1265 0 15107 0 1322
normalized size 1 1. 1.46 8.06 0. 96.22 0. 8.42
time (sec) N/A 0.193 0.875 0.089 0. 3.007 0. 1.613
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 130 998 0 17920 0 377
normalized size 1 1. 0.91 6.98 0. 125.31 0. 2.64
time (sec) N/A 0.207 1.894 0.092 0. 2.667 0. 1.38
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 164 2048 0 12741 0 481
normalized size 1 1. 1.02 12.8 0. 79.63 0. 3.01
time (sec) N/A 0.236 1.34 0.076 0. 2.557 0. 1.194
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 149 1884 0 13445 0 0
normalized size 1 1. 1.12 14.17 0. 101.09 0. 0.
time (sec) N/A 0.125 0.352 0.062 0. 2.451 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 102 664 0 10175 0 331
normalized size 1 1. 0.89 5.82 0. 89.25 0. 2.9
time (sec) N/A 0.095 0.654 0.064 0. 2.288 0. 1.361
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 114 1348 0 11478 0 0
normalized size 1 1. 0.97 11.52 0. 98.1 0. 0.
time (sec) N/A 0.093 0.666 0.068 0. 2.331 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 124 1322 0 11760 0 365
normalized size 1 1. 0.87 9.24 0. 82.24 0. 2.55
time (sec) N/A 0.126 0.888 0.06 0. 2.353 0. 1.398
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 79 85 0 9451 915 0
normalized size 1 1. 0.82 0.89 0. 98.45 9.53 0.
time (sec) N/A 0.057 0.171 0.013 0. 2.188 175.048 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 321 2118 0 18737 0 0
normalized size 1 1. 2.02 13.32 0. 117.84 0. 0.
time (sec) N/A 0.18 0.731 0.092 0. 3.158 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 165 1694 0 21442 0 509
normalized size 1 1. 0.96 9.85 0. 124.66 0. 2.96
time (sec) N/A 0.265 1.079 0.084 0. 2.843 0. 1.398
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 222 2307 0 0 0 0
normalized size 1 1. 1.02 10.63 0. 0. 0. 0.
time (sec) N/A 0.303 1.791 0.104 0. 0. 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 169 1892 0 0 0 608
normalized size 1 1. 0.83 9.32 0. 0. 0. 3.
time (sec) N/A 0.341 2.2 0.108 0. 0. 0. 1.498
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 24 54 86 220 0 55
normalized size 1 1. 1.26 2.84 4.53 11.58 0. 2.89
time (sec) N/A 0.045 0.076 0.023 1.703 1.569 0. 1.175
Problem 350 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 10 10 14 50 53 275 129 50
normalized size 1 1. 1.4 5. 5.3 27.5 12.9 5.
time (sec) N/A 0.039 0.01 0.028 1.106 1.495 2.309 1.171
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 32 98 101 552 0 82
normalized size 1 1. 1.07 3.27 3.37 18.4 0. 2.73
time (sec) N/A 0.059 0.069 0.032 1.532 1.513 0. 1.154
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 124 52 0 8343 0 0
normalized size 1 1. 1.06 0.44 0. 71.31 0. 0.
time (sec) N/A 0.114 0.663 0.09 0. 2.459 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 96 62 0 6229 0 0
normalized size 1 1. 1.33 0.86 0. 86.51 0. 0.
time (sec) N/A 0.056 0.245 0.013 0. 2.091 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 130 51 0 13256 0 0
normalized size 1 1. 1.53 0.6 0. 155.95 0. 0.
time (sec) N/A 0.092 0.71 0.091 0. 2.644 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 175 35 0 3534 0 938
normalized size 1 1. 2.03 0.41 0. 41.09 0. 10.91
time (sec) N/A 0.096 1.514 0.085 0. 1.971 0. 1.298
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 684 35 0 9495 0 3009
normalized size 1 1. 4.53 0.23 0. 62.88 0. 19.93
time (sec) N/A 0.143 12.423 0.104 0. 3.429 0. 1.417
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 211 521 0 0 0 0
normalized size 1 1. 0.7 1.73 0. 0. 0. 0.
time (sec) N/A 0.298 1.376 0.106 0. 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 168 339 0 0 0 0
normalized size 1 1. 0.75 1.52 0. 0. 0. 0.
time (sec) N/A 0.203 0.698 0.085 0. 0. 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 69 140 0 0 0 0
normalized size 1 1. 1.15 2.33 0. 0. 0. 0.
time (sec) N/A 0.036 0.079 0. 0. 0. 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 148 177 0 0 0 0
normalized size 1 1. 2.11 2.53 0. 0. 0. 0.
time (sec) N/A 0.084 0.484 0.101 0. 0. 0. 0.
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 204 318 0 0 0 0
normalized size 1 1. 0.99 1.54 0. 0. 0. 0.
time (sec) N/A 0.167 2.837 0.132 0. 0. 0. 0.
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 149 77 0 11570 0 0
normalized size 1 1. 0.95 0.49 0. 73.69 0. 0.
time (sec) N/A 0.129 1.2 0.085 0. 3.632 0. 0.
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 93 90 0 8070 0 0
normalized size 1 1. 0.89 0.87 0. 77.6 0. 0.
time (sec) N/A 0.069 0.485 0.011 0. 2.758 0. 0.
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 142 63 0 16424 0 0
normalized size 1 1. 1.14 0.5 0. 131.39 0. 0.
time (sec) N/A 0.139 0.453 0.085 0. 4.022 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 150 63 0 19290 0 0
normalized size 1 1. 1.13 0.47 0. 145.04 0. 0.
time (sec) N/A 0.146 0.728 0.091 0. 4.642 0. 0.
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 66 63 0 7839 0 0
normalized size 1 1. 0.52 0.5 0. 62.21 0. 0.
time (sec) N/A 0.121 0.109 0.107 0. 3.801 0. 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 959 63 0 19302 0 0
normalized size 1 1. 4.68 0.31 0. 94.16 0. 0.
time (sec) N/A 0.172 15.325 0.154 0. 10.114 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 256 730 0 0 0 0
normalized size 1 1. 0.72 2.04 0. 0. 0. 0.
time (sec) N/A 0.393 2.531 0.167 0. 0. 0. 0.
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 213 535 0 0 0 0
normalized size 1 1. 0.71 1.79 0. 0. 0. 0.
time (sec) N/A 0.291 1.327 0.12 0. 0. 0. 0.
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 169 416 0 0 0 0
normalized size 1 1. 0.97 2.39 0. 0. 0. 0.
time (sec) N/A 0.19 0.633 0. 0. 0. 0. 0.
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 160 334 0 0 0 0
normalized size 1 1. 0.76 1.59 0. 0. 0. 0.
time (sec) N/A 0.201 0.939 0.115 0. 0. 0. 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 197 324 0 0 0 0
normalized size 1 1. 1.02 1.68 0. 0. 0. 0.
time (sec) N/A 0.188 1.965 0.116 0. 0. 0. 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 77 35 0 6375 0 0
normalized size 1 1. 0.97 0.44 0. 80.7 0. 0.
time (sec) N/A 0.09 0.103 0.073 0. 2.482 0. 0.
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 34 0 5052 0 0
normalized size 1 1. 1. 0.89 0. 132.95 0. 0.
time (sec) N/A 0.047 0.016 0.013 0. 2.105 0. 0.
Problem 375 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 46 46 46 35 0 1615 0 113
normalized size 1 1. 1. 0.76 0. 35.11 0. 2.46
time (sec) N/A 0.069 0.031 0.079 0. 1.874 0. 1.439
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 97 97 443 35 0 4010 0 976
normalized size 1 1. 4.57 0.36 0. 41.34 0. 10.06
time (sec) N/A 0.107 9.479 0.096 0. 2.363 0. 2.01
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 179 344 0 0 0 0
normalized size 1 1. 0.74 1.43 0. 0. 0. 0.
time (sec) N/A 0.219 0.822 0.109 0. 0. 0. 0.
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 95 86 0 0 0 0
normalized size 1 1. 0.54 0.49 0. 0. 0. 0.
time (sec) N/A 0.148 0.241 0.082 0. 0. 0. 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 68 86 0 0 0 0
normalized size 1 1. 1.13 1.43 0. 0. 0. 0.
time (sec) N/A 0.038 0.069 0. 0. 0. 0. 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 159 133 0 0 0 0
normalized size 1 1. 0.99 0.83 0. 0. 0. 0.
time (sec) N/A 0.181 0.622 0.138 0. 0. 0. 0.
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 219 343 0 0 0 0
normalized size 1 1. 1. 1.57 0. 0. 0. 0.
time (sec) N/A 0.195 2.152 0.22 0. 0. 0. 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 89 35 0 7876 0 0
normalized size 1 1. 1.16 0.45 0. 102.29 0. 0.
time (sec) N/A 0.099 0.17 0.065 0. 2.726 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 28 319 641 0 211
normalized size 1 1. 1. 0.97 11. 22.1 0. 7.28
time (sec) N/A 0.044 0.028 0.012 1.656 1.829 0. 1.245
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 85 85 315 101 0 4262 0 385
normalized size 1 1. 3.71 1.19 0. 50.14 0. 4.53
time (sec) N/A 0.097 7.552 0.115 0. 2.482 0. 1.474
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 231 95 0 11344 0 0
normalized size 1 1. 1.63 0.67 0. 79.89 0. 0.
time (sec) N/A 0.165 5.364 0.149 0. 4.657 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 196 498 0 0 0 0
normalized size 1 1. 0.6 1.53 0. 0. 0. 0.
time (sec) N/A 0.301 1.07 0.118 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 155 322 0 0 0 0
normalized size 1 1. 0.64 1.32 0. 0. 0. 0.
time (sec) N/A 0.218 0.602 0.116 0. 0. 0. 0.
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 143 181 0 0 0 0
normalized size 1 1. 1.57 1.99 0. 0. 0. 0.
time (sec) N/A 0.101 0.307 0.097 0. 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 100 252 0 0 0 0
normalized size 1 1. 0.87 2.19 0. 0. 0. 0.
time (sec) N/A 0.061 0.143 0.001 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 178 345 0 0 0 0
normalized size 1 1. 0.82 1.59 0. 0. 0. 0.
time (sec) N/A 0.203 1.177 0.148 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 126 65 0 15815 0 0
normalized size 1 1. 0.94 0.49 0. 118.02 0. 0.
time (sec) N/A 0.141 0.864 0.082 0. 5.854 0. 0.
Problem 392 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 73 73 50 65 1251 2267 0 801
normalized size 1 1. 0.68 0.89 17.14 31.05 0. 10.97
time (sec) N/A 0.093 0.105 0.082 1.757 3.102 0. 1.638
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 47 56 655 2161 0 702
normalized size 1 1. 0.72 0.86 10.08 33.25 0. 10.8
time (sec) N/A 0.058 0.045 0.011 1.655 3.099 0. 1.695
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 1331 169 0 12320 0 1831
normalized size 1 1. 9.93 1.26 0. 91.94 0. 13.66
time (sec) N/A 0.149 9.303 0.133 0. 5.135 0. 3.258
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 206 812 0 0 0 0
normalized size 1 1. 0.62 2.46 0. 0. 0. 0.
time (sec) N/A 0.331 2.133 0.133 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 178 597 0 0 0 0
normalized size 1 1. 0.8 2.68 0. 0. 0. 0.
time (sec) N/A 0.211 1.378 0.253 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 193 662 0 0 0 0
normalized size 1 1. 0.85 2.9 0. 0. 0. 0.
time (sec) N/A 0.204 1.402 0.151 0. 0. 0. 0.
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 190 406 0 0 0 0
normalized size 1 1. 0.76 1.62 0. 0. 0. 0.
time (sec) N/A 0.281 1.264 0. 0. 0. 0. 0.
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 260 1002 0 0 0 0
normalized size 1 1. 0.89 3.43 0. 0. 0. 0.
time (sec) N/A 0.314 3.46 0.166 0. 0. 0. 0.
Problem 400 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 117 117 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 8.19 0.51 0. 0. 0. 0.
Problem 401 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 214 214 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.204 10.606 0.645 0. 0. 0. 0.
Problem 402 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 125 119 120 0 0 0 0 0
normalized size 1 0.95 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.202 0.453 0. 0. 0. 0.
Problem 403 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 67 67 67 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.026 0.341 0. 0. 0. 0.
Problem 404 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 78 78 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 3.354 0.255 0. 0. 0. 0.
Problem 405 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 78 78 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 5.454 0.295 0. 0. 0. 0.
Problem 406 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 92 92 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 9.884 0.482 0. 0. 0. 0.
Problem 407 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 92 92 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 10.074 0.365 0. 0. 0. 0.
Problem 408 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 92 92 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 2.137 0.145 0. 0. 0. 0.
Problem 409 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 92 92 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 4.189 0.257 0. 0. 0. 0.
Problem 410 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 92 92 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 7.957 0.256 0. 0. 0. 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 220 780 0 6338 0 0
normalized size 1 1. 0.85 3.01 0. 24.47 0. 0.
time (sec) N/A 0.296 0.444 0.105 0. 8.191 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 117 359 0 2182 0 0
normalized size 1 1. 0.86 2.64 0. 16.04 0. 0.
time (sec) N/A 0.157 0.151 0.1 0. 7.326 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 41 89 0 563 68 92
normalized size 1 1. 0.95 2.07 0. 13.09 1.58 2.14
time (sec) N/A 0.05 0.027 0.013 0. 6.355 1.9 1.237
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 229 206 0 0 0 0
normalized size 1 1. 0.8 0.72 0. 0. 0. 0.
time (sec) N/A 0.482 0.248 0.108 0. 0. 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 288 955 0 12573 0 0
normalized size 1 1. 1.07 3.54 0. 46.57 0. 0.
time (sec) N/A 0.323 0.619 0.218 0. 8.894 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 123 481 0 5027 0 0
normalized size 1 1. 0.87 3.39 0. 35.4 0. 0.
time (sec) N/A 0.164 0.464 0.207 0. 7.246 0. 0.
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 42 144 0 1370 151 0
normalized size 1 1. 0.86 2.94 0. 27.96 3.08 0.
time (sec) N/A 0.055 0.061 0.021 0. 1.776 4.926 0.
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 384 384 280 567 0 0 0 0
normalized size 1 1. 0.73 1.48 0. 0. 0. 0.
time (sec) N/A 0.631 0.733 0.234 0. 0. 0. 0.
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 119 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.14 0.142 0.254 0. 0. 0. 0.
Problem 420 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 84 84 82 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.055 0.22 0. 0. 0. 0.
Problem 421 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 37 37 37 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.009 0.224 0. 0. 0. 0.
Problem 422 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 130 130 119 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.133 0.111 5.743 0. 0. 0. 0.
Problem 423 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 84 84 82 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.052 5.335 0. 0. 0. 0.
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.008 5.571 0. 0. 0. 0.
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 23 41 61 165 0 34
normalized size 1 1. 1.35 2.41 3.59 9.71 0. 2.
time (sec) N/A 0.032 0.014 0.029 1.109 1.782 0. 1.17
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 51 42 394 2361 0 108
normalized size 1 1. 0.81 0.67 6.25 37.48 0. 1.71
time (sec) N/A 0.128 0.1 0.145 1.799 1.859 0. 1.301
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 29 42 143 829 0 72
normalized size 1 1. 0.76 1.11 3.76 21.82 0. 1.89
time (sec) N/A 0.113 0.087 0.105 1.791 1.893 0. 1.255
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 19 43 365 0 35
normalized size 1 1. 1. 1.06 2.39 20.28 0. 1.94
time (sec) N/A 0.069 0.04 0.026 1.758 1.806 0. 1.159
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 42 92 549 0 69
normalized size 1 1. 0.84 0.84 1.84 10.98 0. 1.38
time (sec) N/A 0.098 0.059 0.089 1.781 1.853 0. 1.206
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 77 54 170 2056 0 120
normalized size 1 1. 0.89 0.62 1.95 23.63 0. 1.38
time (sec) N/A 0.142 0.261 0.092 1.947 1.976 0. 1.259
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 75 85 1203 4517 0 134
normalized size 1 1. 0.62 0.71 10.02 37.64 0. 1.12
time (sec) N/A 0.13 0.343 0.109 1.904 2.045 0. 1.403
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 55 69 522 2003 0 100
normalized size 1 1. 0.6 0.76 5.74 22.01 0. 1.1
time (sec) N/A 0.125 0.194 0.098 1.675 1.962 0. 1.285
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 40 41 68 497 0 51
normalized size 1 1. 0.7 0.72 1.19 8.72 0. 0.89
time (sec) N/A 0.109 0.053 0.088 1.761 1.971 0. 1.267
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 35 42 169 829 0 77
normalized size 1 1. 0.62 0.75 3.02 14.8 0. 1.38
time (sec) N/A 0.114 0.075 0.085 1.734 1.788 0. 1.292
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 47 55 657 2361 0 108
normalized size 1 1. 0.52 0.6 7.22 25.95 0. 1.19
time (sec) N/A 0.122 0.073 0.092 1.783 1.97 0. 1.272
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 67 65 1418 4725 0 140
normalized size 1 1. 0.54 0.52 11.44 38.1 0. 1.13
time (sec) N/A 0.125 0.193 0.092 1.784 2.114 0. 1.299
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 43 41 602 3776 0 128
normalized size 1 1. 0.65 0.62 9.12 57.21 0. 1.94
time (sec) N/A 0.129 0.09 0.102 2.084 1.895 0. 1.399
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 31 41 248 1692 0 88
normalized size 1 1. 0.74 0.98 5.9 40.29 0. 2.1
time (sec) N/A 0.118 0.07 0.098 1.899 1.761 0. 1.344
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 20 45 428 0 39
normalized size 1 1. 1. 1.05 2.37 22.53 0. 2.05
time (sec) N/A 0.07 0.032 0.024 1.774 1.754 0. 1.26
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 49 33 54 455 0 49
normalized size 1 1. 1.58 1.06 1.74 14.68 0. 1.58
time (sec) N/A 0.086 0.053 0.07 1.866 1.842 0. 1.322
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 65 42 135 1409 0 109
normalized size 1 1. 0.98 0.64 2.05 21.35 0. 1.65
time (sec) N/A 0.129 0.122 0.086 1.904 1.949 0. 1.367
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 66 68 848 3584 0 130
normalized size 1 1. 0.73 0.75 9.32 39.38 0. 1.43
time (sec) N/A 0.144 0.133 0.108 1.955 2.048 0. 1.37
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 44 51 293 1343 0 85
normalized size 1 1. 0.71 0.82 4.73 21.66 0. 1.37
time (sec) N/A 0.121 0.057 0.224 1.808 1.841 0. 1.314
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 32 136 428 0 39
normalized size 1 1. 1. 1.28 5.44 17.12 0. 1.56
time (sec) N/A 0.104 0.037 0.07 1.849 1.874 0. 1.379
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 37 44 751 1692 0 88
normalized size 1 1. 0.61 0.72 12.31 27.74 0. 1.44
time (sec) N/A 0.115 0.061 0.098 2. 1.75 0. 1.497
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 49 54 1662 3776 0 128
normalized size 1 1. 0.51 0.56 17.31 39.33 0. 1.33
time (sec) N/A 0.123 0.082 0.113 2.242 1.895 0. 1.561
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 51 44 791 6649 0 132
normalized size 1 1. 0.75 0.65 11.63 97.78 0. 1.94
time (sec) N/A 0.141 0.112 0.107 2.218 2.141 0. 1.733
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 34 44 362 3571 0 92
normalized size 1 1. 0.77 1. 8.23 81.16 0. 2.09
time (sec) N/A 0.126 0.123 0.098 1.88 1.892 0. 1.536
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 20 82 1511 0 43
normalized size 1 1. 1. 0.95 3.9 71.95 0. 2.05
time (sec) N/A 0.077 0.039 0.018 1.898 1.847 0. 1.316
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 41 44 103 706 0 84
normalized size 1 1. 0.77 0.83 1.94 13.32 0. 1.58
time (sec) N/A 0.108 0.062 0.066 1.793 1.853 0. 1.351
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 67 36 135 1458 0 0
normalized size 1 1. 1.02 0.55 2.05 22.09 0. 0.
time (sec) N/A 0.139 0.132 0.069 2.112 1.875 0. 0.
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 58 69 498 3698 0 126
normalized size 1 1. 0.55 0.65 4.7 34.89 0. 1.19
time (sec) N/A 0.16 0.094 0.142 1.899 2.001 0. 1.422
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 46 51 433 652 0 58
normalized size 1 1. 0.72 0.8 6.77 10.19 0. 0.91
time (sec) N/A 0.132 0.079 0.093 1.718 1.806 0. 1.43
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 29 35 1111 1511 0 43
normalized size 1 1. 0.76 0.92 29.24 39.76 0. 1.13
time (sec) N/A 0.126 0.055 0.078 1.986 1.781 0. 1.652
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 41 67 2067 3571 0 92
normalized size 1 1. 0.53 0.87 26.84 46.38 0. 1.19
time (sec) N/A 0.144 0.109 0.132 2.326 1.944 0. 1.803
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 51 57 2992 6649 0 132
normalized size 1 1. 0.44 0.5 26.02 57.82 0. 1.15
time (sec) N/A 0.15 0.136 0.105 2.601 2.143 0. 1.943
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 151 43 0 12141 0 0
normalized size 1 1. 0.81 0.23 0. 64.93 0. 0.
time (sec) N/A 0.225 0.572 0.341 0. 9.015 0. 0.
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 88 43 0 4352 0 0
normalized size 1 1. 0.7 0.34 0. 34.54 0. 0.
time (sec) N/A 0.125 0.406 0.102 0. 7.675 0. 0.
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 65 41 0 1705 0 0
normalized size 1 1. 1.05 0.66 0. 27.5 0. 0.
time (sec) N/A 0.064 0.052 0.079 0. 7.164 0. 0.
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 53 46 0 1656 0 0
normalized size 1 1. 0.98 0.85 0. 30.67 0. 0.
time (sec) N/A 0.074 0.049 0.085 0. 3.907 0. 0.
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 69 58 0 3903 0 0
normalized size 1 1. 0.65 0.55 0. 36.82 0. 0.
time (sec) N/A 0.122 0.363 0.214 0. 4.977 0. 0.
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 102 80 0 9559 0 0
normalized size 1 1. 0.61 0.48 0. 57.24 0. 0.
time (sec) N/A 0.18 0.564 0.131 0. 5.962 0. 0.
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 214 369 0 0 0 0
normalized size 1 1. 0.73 1.26 0. 0. 0. 0.
time (sec) N/A 0.306 1.947 0.177 0. 0. 0. 0.
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 150 233 0 0 0 0
normalized size 1 1. 0.89 1.39 0. 0. 0. 0.
time (sec) N/A 0.177 0.494 0.135 0. 0. 0. 0.
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 69 140 0 0 0 0
normalized size 1 1. 1.15 2.33 0. 0. 0. 0.
time (sec) N/A 0.038 0.084 0. 0. 0. 0. 0.
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 154 215 0 0 0 0
normalized size 1 1. 0.76 1.06 0. 0. 0. 0.
time (sec) N/A 0.199 0.57 0.142 0. 0. 0. 0.
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 210 519 0 0 0 0
normalized size 1 1. 0.78 1.92 0. 0. 0. 0.
time (sec) N/A 0.296 3.067 0.17 0. 0. 0. 0.
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 169 71 0 16471 0 0
normalized size 1 1. 0.73 0.31 0. 71. 0. 0.
time (sec) N/A 0.29 1.636 0.122 0. 9.431 0. 0.
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 122 71 0 6527 0 0
normalized size 1 1. 0.78 0.46 0. 41.84 0. 0.
time (sec) N/A 0.159 0.542 0.125 0. 7.387 0. 0.
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 86 69 0 2827 0 0
normalized size 1 1. 0.96 0.77 0. 31.41 0. 0.
time (sec) N/A 0.09 0.146 0.296 0. 6.381 0. 0.
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 69 62 0 2696 0 0
normalized size 1 1. 0.88 0.79 0. 34.56 0. 0.
time (sec) N/A 0.092 0.122 0.078 0. 3.797 0. 0.
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 90 84 0 6418 0 0
normalized size 1 1. 0.64 0.6 0. 45.84 0. 0.
time (sec) N/A 0.148 0.446 0.124 0. 5.472 0. 0.
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 199 123 113 0 14438 0 0
normalized size 1 0.98 0.61 0.56 0. 71.12 0. 0.
time (sec) N/A 0.232 0.79 0.254 0. 6.137 0. 0.
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 224 389 0 0 0 0
normalized size 1 1. 0.73 1.28 0. 0. 0. 0.
time (sec) N/A 0.38 2.796 0.167 0. 0. 0. 0.
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 260 188 413 0 0 0 0
normalized size 1 1. 0.72 1.59 0. 0. 0. 0.
time (sec) N/A 0.245 2.887 0.148 0. 0. 0. 0.
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 169 416 0 0 0 0
normalized size 1 1. 0.97 2.39 0. 0. 0. 0.
time (sec) N/A 0.182 0.641 0. 0. 0. 0. 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 184 327 0 0 0 0
normalized size 1 1. 0.72 1.28 0. 0. 0. 0.
time (sec) N/A 0.272 2.126 0.156 0. 0. 0. 0.
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 229 540 0 0 0 0
normalized size 1 1. 0.75 1.76 0. 0. 0. 0.
time (sec) N/A 0.359 4.701 0.288 0. 0. 0. 0.
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 116 43 0 9879 0 0
normalized size 1 1. 0.82 0.3 0. 69.57 0. 0.
time (sec) N/A 0.193 0.463 0.125 0. 3.74 0. 0.
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 85 43 0 3425 0 0
normalized size 1 1. 0.96 0.48 0. 38.48 0. 0.
time (sec) N/A 0.112 0.117 0.129 0. 2.747 0. 0.
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 44 41 0 1168 0 0
normalized size 1 1. 1.07 1. 0. 28.49 0. 0.
time (sec) N/A 0.058 0.042 0.093 0. 2.354 0. 0.
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 35 0 1111 0 0
normalized size 1 1. 1. 1.06 0. 33.67 0. 0.
time (sec) N/A 0.071 0.035 0.073 0. 2.228 0. 0.
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 72 44 0 2957 0 0
normalized size 1 1. 0.94 0.57 0. 38.4 0. 0.
time (sec) N/A 0.102 0.202 0.107 0. 2.492 0. 0.
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 100 54 0 7682 0 0
normalized size 1 1. 0.79 0.43 0. 60.97 0. 0.
time (sec) N/A 0.147 0.362 0.102 0. 2.846 0. 0.
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 206 366 0 0 0 0
normalized size 1 1. 0.94 1.67 0. 0. 0. 0.
time (sec) N/A 0.196 2.105 0.289 0. 0. 0. 0.
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 109 239 0 0 0 0
normalized size 1 1. 0.7 1.53 0. 0. 0. 0.
time (sec) N/A 0.181 0.382 0.161 0. 0. 0. 0.
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 68 86 0 0 0 0
normalized size 1 1. 1.13 1.43 0. 0. 0. 0.
time (sec) N/A 0.037 0.071 0.001 0. 0. 0. 0.
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 105 217 0 0 0 0
normalized size 1 1. 0.51 1.05 0. 0. 0. 0.
time (sec) N/A 0.197 0.389 0.179 0. 0. 0. 0.
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 285 285 208 522 0 0 0 0
normalized size 1 1. 0.73 1.83 0. 0. 0. 0.
time (sec) N/A 0.305 3.549 0.187 0. 0. 0. 0.
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 113 103 0 24184 0 0
normalized size 1 1. 0.6 0.55 0. 129.33 0. 0.
time (sec) N/A 0.251 0.468 0.225 0. 6.766 0. 0.
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 79 103 0 9603 0 0
normalized size 1 1. 0.65 0.84 0. 78.71 0. 0.
time (sec) N/A 0.14 0.118 0.195 0. 3.543 0. 0.
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 58 93 0 3475 0 0
normalized size 1 1. 0.84 1.35 0. 50.36 0. 0.
time (sec) N/A 0.074 0.078 0.123 0. 2.672 0. 0.
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 46 35 0 2955 0 0
normalized size 1 1. 0.81 0.61 0. 51.84 0. 0.
time (sec) N/A 0.084 0.06 0.063 0. 2.386 0. 0.
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 69 43 0 7960 0 0
normalized size 1 1. 0.63 0.39 0. 72.36 0. 0.
time (sec) N/A 0.136 0.103 0.104 0. 3.056 0. 0.
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 94 43 0 19003 0 0
normalized size 1 1. 0.56 0.26 0. 113.79 0. 0.
time (sec) N/A 0.201 0.327 0.09 0. 4.582 0. 0.
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 212 354 0 0 0 0
normalized size 1 1. 0.77 1.29 0. 0. 0. 0.
time (sec) N/A 0.276 2.184 0.204 0. 0. 0. 0.
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 158 256 0 0 0 0
normalized size 1 1. 0.73 1.18 0. 0. 0. 0.
time (sec) N/A 0.213 1.282 0.185 0. 0. 0. 0.
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 100 252 0 0 0 0
normalized size 1 1. 0.87 2.19 0. 0. 0. 0.
time (sec) N/A 0.068 0.15 0. 0. 0. 0. 0.
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 153 219 0 0 0 0
normalized size 1 1. 0.65 0.92 0. 0. 0. 0.
time (sec) N/A 0.27 0.836 0.282 0. 0. 0. 0.
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 214 522 0 0 0 0
normalized size 1 1. 0.63 1.53 0. 0. 0. 0.
time (sec) N/A 0.408 3.22 0.195 0. 0. 0. 0.
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 114 213 0 0 0 0
normalized size 1 1. 0.49 0.92 0. 0. 0. 0.
time (sec) N/A 0.316 0.589 0.298 0. 0. 0. 0.
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 82 213 0 24677 0 0
normalized size 1 1. 0.5 1.31 0. 151.39 0. 0.
time (sec) N/A 0.166 0.122 0.266 0. 6.75 0. 0.
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 60 173 0 9900 0 0
normalized size 1 1. 0.61 1.75 0. 100. 0. 0.
time (sec) N/A 0.093 0.087 0.218 0. 3.48 0. 0.
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 49 65 0 7507 0 0
normalized size 1 1. 0.59 0.78 0. 90.45 0. 0.
time (sec) N/A 0.1 0.065 0.086 0. 2.807 0. 0.
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 69 73 0 18669 0 0
normalized size 1 1. 0.48 0.51 0. 130.55 0. 0.
time (sec) N/A 0.152 0.3 0.118 0. 4.733 0. 0.
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 117 73 0 0 0 0
normalized size 1 1. 0.56 0.35 0. 0. 0. 0.
time (sec) N/A 0.225 0.424 0.122 0. 0. 0. 0.
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 333 333 252 661 0 0 0 0
normalized size 1 1. 0.76 1.98 0. 0. 0. 0.
time (sec) N/A 0.399 3.37 0.217 0. 0. 0. 0.
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 215 799 0 0 0 0
normalized size 1 1. 0.78 2.92 0. 0. 0. 0.
time (sec) N/A 0.28 2.601 0.192 0. 0. 0. 0.
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 190 406 0 0 0 0
normalized size 1 1. 0.76 1.62 0. 0. 0. 0.
time (sec) N/A 0.288 1.256 0. 0. 0. 0. 0.
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 226 640 0 0 0 0
normalized size 1 1. 0.64 1.82 0. 0. 0. 0.
time (sec) N/A 0.412 2.677 0.24 0. 0. 0. 0.
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 247 924 0 0 0 0
normalized size 1 1. 0.64 2.4 0. 0. 0. 0.
time (sec) N/A 0.562 2.788 0.226 0. 0. 0. 0.
Problem 512 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 122 122 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.129 9.498 0.227 0. 0. 0. 0.
Problem 513 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 110 110 90 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.239 0.36 0. 0. 0. 0.
Problem 514 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 63 63 65 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.071 0.255 0. 0. 0. 0.
Problem 515 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.063 0.06 0.279 0. 0. 0. 0.
Problem 516 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 94 94 71 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.379 0.265 0. 0. 0. 0.
Problem 517 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 103 103 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 7.105 0.227 0. 0. 0. 0.
Problem 518 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 103 103 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 5.423 0.222 0. 0. 0. 0.
Problem 519 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 99 99 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 6.369 0.218 0. 0. 0. 0.
Problem 520 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 103 103 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 6.635 0.216 0. 0. 0. 0.
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-1) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 136 132 0 2762 0 282
normalized size 1 1. 0.89 0.87 0. 18.17 0. 1.86
time (sec) N/A 0.252 0.338 0.06 0. 11.757 0. 1.238
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 21 0 0 0 0
normalized size 1 1. 1. 0.75 0. 0. 0. 0.
time (sec) N/A 0.076 0.024 0.214 0. 0. 0. 0.
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 34 0 5184 0 0
normalized size 1 1. 1. 0.76 0. 115.2 0. 0.
time (sec) N/A 0.082 0.023 0.042 0. 15.551 0. 0.
Problem 524 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 29 29 29 24 0 390 0 0
normalized size 1 1. 1. 0.83 0. 13.45 0. 0.
time (sec) N/A 0.087 0.024 0.033 0. 1.835 0. 0.
Problem 525 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 47 47 45 38 0 552 0 0
normalized size 1 1. 0.96 0.81 0. 11.74 0. 0.
time (sec) N/A 0.092 0.021 0.016 0. 1.818 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 [182] 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 4 3 1. 21 0.143
2 A 3 2 1. 21 0.095
3 A 3 3 1. 21 0.143
4 A 2 1 1. 19 0.053
5 A 3 2 1. 12 0.167
6 A 2 2 1. 19 0.105
7 A 2 2 1. 21 0.095
8 A 2 2 1. 21 0.095
9 A 3 3 1. 21 0.143
10 A 6 6 1. 23 0.261
11 A 3 2 1. 23 0.087
12 A 2 2 1.06 23 0.087
13 A 3 2 1. 21 0.095
14 A 1 1 1. 14 0.071
15 A 4 3 1. 21 0.143
16 A 4 4 1.28 23 0.174
17 A 5 4 1. 23 0.174
18 A 4 3 1. 23 0.13
19 A 7 6 1. 23 0.261
20 A 3 2 1. 23 0.087
21 A 3 2 1. 23 0.087
22 A 3 2 1. 21 0.095
23 A 2 2 1. 14 0.143
24 A 4 3 1. 21 0.143
25 A 5 5 1. 23 0.217
26 A 5 4 1. 23 0.174
27 A 5 4 1. 23 0.174
28 A 4 3 1. 23 0.13
29 A 6 6 1. 23 0.261
30 A 4 3 1. 23 0.13
31 A 5 5 1. 23 0.217
32 A 3 3 1. 23 0.13
33 A 3 3 1. 23 0.13
34 A 2 2 1. 21 0.095
35 A 2 2 1. 14 0.143
36 A 4 4 1. 21 0.19
37 A 3 3 1. 23 0.13
38 A 5 5 1. 23 0.217
39 A 4 3 1. 23 0.13
40 A 6 6 1. 23 0.261
41 A 4 3 1. 23 0.13
42 A 5 5 1. 23 0.217
43 A 3 3 1. 23 0.13
44 A 4 4 1. 23 0.174
45 A 3 3 1. 21 0.143
46 A 4 4 1. 14 0.286
47 A 5 5 1. 21 0.238
48 A 4 4 1. 23 0.174
49 A 6 6 1. 23 0.261
50 A 5 4 1. 23 0.174
51 A 4 3 1. 23 0.13
52 A 4 4 1. 23 0.174
53 A 5 4 1. 23 0.174
54 A 4 3 1. 21 0.143
55 A 5 5 1. 14 0.357
56 A 6 6 1. 21 0.286
57 A 5 5 1. 23 0.217
58 A 7 6 1. 23 0.261
59 A 6 5 1. 23 0.217
60 A 3 3 1. 8 0.375
61 A 3 2 1. 8 0.25
62 A 3 2 1. 8 0.25
63 A 2 2 1. 10 0.2
64 A 4 4 1. 10 0.4
65 A 5 5 1. 10 0.5
66 A 5 5 1. 25 0.2
67 A 4 4 1. 23 0.174
68 A 6 5 1. 23 0.217
69 A 4 4 1. 25 0.16
70 A 5 5 1. 25 0.2
71 A 7 7 1. 25 0.28
72 A 6 6 1. 25 0.24
73 A 2 2 1. 16 0.125
74 A 7 7 1. 25 0.28
75 A 7 7 1. 25 0.28
76 A 6 5 1. 25 0.2
77 A 5 4 1. 23 0.174
78 A 7 6 1. 23 0.261
79 A 7 6 1. 25 0.24
80 A 5 4 1. 25 0.16
81 A 6 5 1. 25 0.2
82 A 8 7 1. 25 0.28
83 A 7 6 1. 25 0.24
84 A 6 6 1. 16 0.375
85 A 6 6 1. 25 0.24
86 A 7 7 1. 25 0.28
87 A 7 7 1. 16 0.438
88 A 3 3 1. 10 0.3
89 A 3 3 1. 12 0.25
90 A 1 1 1. 12 0.083
91 A 2 2 1. 10 0.2
92 A 2 2 1. 12 0.167
93 A 4 4 1. 10 0.4
94 A 4 4 1. 12 0.333
95 A 4 4 1. 12 0.333
96 A 6 6 1. 10 0.6
97 A 6 6 1. 12 0.5
98 A 4 4 1. 25 0.16
99 A 3 3 1. 23 0.13
100 A 3 3 1. 23 0.13
101 A 4 4 1. 25 0.16
102 A 6 6 1. 25 0.24
103 A 5 5 1. 25 0.2
104 A 2 2 1. 16 0.125
105 A 5 5 1. 25 0.2
106 A 7 7 1. 25 0.28
107 A 4 4 1. 25 0.16
108 A 2 2 1. 23 0.087
109 A 4 4 1. 23 0.174
110 A 6 6 1. 25 0.24
111 A 7 7 1. 25 0.28
112 A 6 6 1. 25 0.24
113 A 6 6 1. 25 0.24
114 A 4 4 1. 16 0.25
115 A 7 7 1. 25 0.28
116 A 5 5 1. 25 0.2
117 A 3 3 1. 25 0.12
118 A 3 3 1. 23 0.13
119 A 6 6 1. 23 0.261
120 A 7 7 1. 25 0.28
121 A 5 5 1. 25 0.2
122 A 7 6 1. 25 0.24
123 A 7 7 1. 16 0.438
124 A 8 8 1. 25 0.32
125 A 3 3 1. 10 0.3
126 A 1 1 1. 12 0.083
127 A 2 2 1. 10 0.2
128 A 3 3 1. 12 0.25
129 A 2 2 1. 12 0.167
130 A 3 3 1. 25 0.12
131 A 5 5 1. 23 0.217
132 A 4 4 1. 23 0.174
133 A 3 3 1. 21 0.143
134 A 3 3 1. 21 0.143
135 A 3 3 1. 23 0.13
136 A 3 3 1. 23 0.13
137 A 3 3 1. 23 0.13
138 A 3 3 1. 23 0.13
139 A 3 3 1. 23 0.13
140 A 3 3 1. 23 0.13
141 A 7 4 1. 21 0.19
142 A 8 4 1. 21 0.19
143 A 6 4 1. 21 0.19
144 A 6 4 1. 19 0.21
145 A 3 1 1. 12 0.083
146 A 5 4 1. 19 0.21
147 A 5 4 1. 21 0.19
148 A 4 3 1. 21 0.143
149 A 5 3 1. 21 0.143
150 A 10 4 1. 23 0.174
151 A 11 4 1. 23 0.174
152 A 8 5 1. 21 0.238
153 A 8 4 1. 14 0.286
154 A 7 5 1. 21 0.238
155 A 8 5 1. 23 0.217
156 A 6 4 1. 23 0.174
157 A 7 5 1. 23 0.217
158 A 8 6 1. 23 0.261
159 A 6 4 1. 23 0.174
160 A 9 4 1. 23 0.174
161 A 13 4 1. 23 0.174
162 A 14 5 1. 21 0.238
163 A 10 4 1. 14 0.286
164 A 12 5 1. 21 0.238
165 A 10 6 1. 23 0.261
166 A 10 6 1. 23 0.261
167 A 9 6 1. 23 0.261
168 A 11 7 1. 23 0.304
169 A 8 5 1. 23 0.217
170 A 11 6 1. 23 0.261
171 A 15 6 1. 23 0.261
172 A 15 7 1. 23 0.304
173 A 14 5 1. 23 0.217
174 A 13 5 1. 23 0.217
175 A 11 5 1. 23 0.217
176 A 11 4 1. 21 0.19
177 A 11 4 1. 14 0.286
178 A 14 6 1. 21 0.286
179 A 15 6 1. 23 0.261
180 A 15 7 1. 23 0.304
181 A 16 7 1. 23 0.304
182 A 12 8 1. 8 1.
183 A 12 8 1. 10 0.8
184 A 6 6 1. 21 0.286
185 A 3 2 1. 21 0.095
186 A 5 5 1. 21 0.238
187 A 2 1 1. 19 0.053
188 A 4 2 1. 12 0.167
189 A 4 3 1. 19 0.158
190 A 4 4 1. 21 0.19
191 A 4 4 1. 21 0.19
192 A 4 3 1. 21 0.143
193 A 4 4 1. 21 0.19
194 A 3 2 1. 21 0.095
195 A 5 5 1. 21 0.238
196 A 3 2 1. 23 0.087
197 A 7 6 1. 23 0.261
198 A 3 2 1. 21 0.095
199 A 6 5 1. 14 0.357
200 A 4 3 1. 21 0.143
201 A 6 5 1. 23 0.217
202 A 5 4 1. 23 0.174
203 A 6 5 1. 23 0.217
204 A 6 5 1. 23 0.217
205 A 5 4 1. 23 0.174
206 A 6 5 1. 23 0.217
207 A 3 2 1. 23 0.087
208 A 3 2 1. 23 0.087
209 A 3 2 1. 21 0.095
210 A 4 3 1. 21 0.143
211 A 5 4 1. 23 0.174
212 A 6 5 1. 23 0.217
213 A 7 5 1. 23 0.217
214 A 8 5 1. 23 0.217
215 A 8 5 1. 23 0.217
216 A 8 5 1. 23 0.217
217 A 9 6 1. 23 0.261
218 A 8 5 1. 14 0.357
219 A 8 5 1. 23 0.217
220 A 8 5 1. 23 0.217
221 A 7 5 1. 23 0.217
222 A 6 5 1. 23 0.217
223 A 5 4 1. 23 0.174
224 A 4 3 1. 23 0.13
225 A 3 2 1. 23 0.087
226 A 3 2 1. 23 0.087
227 A 3 2 1. 23 0.087
228 A 3 2 1. 23 0.087
229 A 6 5 1. 24 0.208
230 A 6 5 1. 24 0.208
231 A 4 4 1. 24 0.167
232 A 4 4 1. 22 0.182
233 A 7 6 1. 22 0.273
234 A 7 6 1. 24 0.25
235 A 7 5 1. 24 0.208
236 A 7 5 1. 24 0.208
237 A 4 3 1. 24 0.125
238 A 4 3 1. 15 0.2
239 A 6 4 1. 24 0.167
240 A 6 4 1. 24 0.167
241 A 7 6 1. 24 0.25
242 A 5 5 1. 24 0.208
243 A 5 5 1. 24 0.208
244 A 5 5 1. 24 0.208
245 A 5 5 1. 22 0.227
246 A 11 7 1. 22 0.318
247 A 14 9 1. 24 0.375
248 A 6 5 1. 24 0.208
249 A 7 6 1. 24 0.25
250 A 5 4 1. 24 0.167
251 A 5 4 1. 15 0.267
252 A 7 5 1. 24 0.208
253 A 6 6 1. 24 0.25
254 A 6 6 1. 24 0.25
255 A 6 6 1. 24 0.25
256 A 6 5 1. 24 0.208
257 A 6 6 1. 22 0.273
258 A 16 7 1. 22 0.318
259 A 9 7 1. 24 0.292
260 A 6 5 1. 24 0.208
261 A 6 5 1. 24 0.208
262 A 6 5 1. 24 0.208
263 A 6 5 1. 15 0.333
264 A 8 6 1. 24 0.25
265 A 3 3 1. 10 0.3
266 A 10 6 1. 8 0.75
267 A 17 5 1. 10 0.5
268 A 7 3 1. 10 0.3
269 A 9 3 1. 10 0.3
270 A 17 6 1. 8 0.75
271 A 8 6 1. 8 0.75
272 A 9 3 1. 8 0.375
273 A 17 6 1. 10 0.6
274 A 7 3 1. 10 0.3
275 A 10 6 1. 10 0.6
276 A 3 2 1. 15 0.133
277 A 3 3 1. 15 0.2
278 A 2 2 1. 15 0.133
279 A 2 2 1. 15 0.133
280 A 2 2 1. 13 0.154
281 A 3 3 1. 13 0.231
282 A 4 3 1. 15 0.2
283 A 5 4 1. 21 0.19
284 A 3 2 1. 21 0.095
285 A 4 4 1. 21 0.19
286 A 2 1 1. 19 0.053
287 A 3 3 1. 19 0.158
288 A 3 3 1. 21 0.143
289 A 3 3 1. 21 0.143
290 A 2 1 1. 21 0.048
291 A 4 4 1. 21 0.19
292 A 3 2 1. 21 0.095
293 A 6 5 1. 23 0.217
294 A 3 2 1. 23 0.087
295 A 5 5 1. 23 0.217
296 A 3 2 1. 21 0.095
297 A 4 3 1. 21 0.143
298 A 5 4 1. 23 0.174
299 A 5 4 1. 23 0.174
300 A 4 3 1. 23 0.13
301 A 4 4 1. 23 0.174
302 A 3 2 1. 23 0.087
303 A 5 5 1. 23 0.217
304 A 7 6 1. 23 0.261
305 A 3 2 1. 23 0.087
306 A 6 6 1. 23 0.261
307 A 3 2 1. 21 0.095
308 A 4 3 1. 21 0.143
309 A 6 5 1. 23 0.217
310 A 5 4 1. 23 0.174
311 A 5 4 1. 23 0.174
312 A 6 5 1. 23 0.217
313 A 4 3 1. 23 0.13
314 A 5 5 1. 23 0.217
315 A 3 2 1. 23 0.087
316 A 4 3 1. 23 0.13
317 A 6 6 1. 23 0.261
318 A 4 3 1. 23 0.13
319 A 5 5 1. 23 0.217
320 A 3 3 1. 23 0.13
321 A 4 4 1. 23 0.174
322 A 2 2 1. 21 0.095
323 A 4 4 1. 21 0.19
324 A 3 3 1. 23 0.13
325 A 5 5 1. 23 0.217
326 A 4 3 1. 23 0.13
327 A 6 6 1. 23 0.261
328 A 4 3 1. 23 0.13
329 A 6 6 1. 23 0.261
330 A 5 4 1. 23 0.174
331 A 5 5 1. 23 0.217
332 A 3 3 1. 23 0.13
333 A 3 3 1. 23 0.13
334 A 3 3 1. 21 0.143
335 A 5 5 1. 21 0.238
336 A 5 4 1. 23 0.174
337 A 6 6 1. 23 0.261
338 A 5 4 1. 23 0.174
339 A 6 6 1. 23 0.261
340 A 4 4 1. 23 0.174
341 A 4 3 1. 23 0.13
342 A 4 4 1. 23 0.174
343 A 4 4 1. 23 0.174
344 A 4 3 1. 21 0.143
345 A 6 6 1. 21 0.286
346 A 6 5 1. 23 0.217
347 A 7 6 1. 23 0.261
348 A 6 5 1. 23 0.217
349 A 4 3 1. 15 0.2
350 A 3 3 1. 15 0.2
351 A 5 4 1. 15 0.267
352 A 5 5 1. 25 0.2
353 A 4 4 1. 23 0.174
354 A 6 6 1. 23 0.261
355 A 4 4 1. 25 0.16
356 A 5 5 1. 25 0.2
357 A 7 7 1. 25 0.28
358 A 6 6 1. 25 0.24
359 A 2 2 1. 16 0.125
360 A 2 2 1. 25 0.08
361 A 5 5 1. 25 0.2
362 A 6 5 1. 25 0.2
363 A 5 4 1. 23 0.174
364 A 7 7 1. 23 0.304
365 A 7 7 1. 25 0.28
366 A 5 4 1. 25 0.16
367 A 6 5 1. 25 0.2
368 A 8 7 1. 25 0.28
369 A 7 7 1. 25 0.28
370 A 6 6 1. 16 0.375
371 A 6 6 1. 25 0.24
372 A 5 5 1. 25 0.2
373 A 4 4 1. 25 0.16
374 A 3 3 1. 23 0.13
375 A 3 3 1. 23 0.13
376 A 4 4 1. 25 0.16
377 A 6 6 1. 25 0.24
378 A 5 5 1. 25 0.2
379 A 2 2 1. 16 0.125
380 A 7 7 1. 25 0.28
381 A 5 5 1. 25 0.2
382 A 4 4 1. 25 0.16
383 A 2 2 1. 23 0.087
384 A 4 4 1. 23 0.174
385 A 6 6 1. 25 0.24
386 A 7 7 1. 25 0.28
387 A 6 6 1. 25 0.24
388 A 2 2 1. 25 0.08
389 A 4 4 1. 16 0.25
390 A 5 5 1. 25 0.2
391 A 5 5 1. 25 0.2
392 A 3 3 1. 25 0.12
393 A 3 3 1. 23 0.13
394 A 6 6 1. 23 0.261
395 A 7 7 1. 25 0.28
396 A 5 5 1. 25 0.2
397 A 5 5 1. 25 0.2
398 A 7 7 1. 16 0.438
399 A 6 6 1. 25 0.24
400 A 3 3 1. 25 0.12
401 A 5 5 1. 23 0.217
402 A 4 4 0.95 23 0.174
403 A 3 3 1. 21 0.143
404 A 3 3 1. 21 0.143
405 A 3 3 1. 23 0.13
406 A 3 3 1. 23 0.13
407 A 3 3 1. 23 0.13
408 A 3 3 1. 14 0.214
409 A 3 3 1. 23 0.13
410 A 3 3 1. 23 0.13
411 A 4 3 1. 25 0.12
412 A 4 3 1. 25 0.12
413 A 4 3 1. 23 0.13
414 A 19 13 1. 23 0.565
415 A 4 3 1. 25 0.12
416 A 4 3 1. 25 0.12
417 A 4 3 1. 23 0.13
418 A 19 13 1. 23 0.565
419 A 6 4 1. 23 0.174
420 A 5 4 1. 23 0.174
421 A 2 2 1. 21 0.095
422 A 6 4 1. 23 0.174
423 A 5 4 1. 23 0.174
424 A 2 2 1. 21 0.095
425 A 4 4 1. 13 0.308
426 A 5 4 1. 25 0.16
427 A 5 4 1. 25 0.16
428 A 4 4 1. 23 0.174
429 A 5 5 1. 23 0.217
430 A 7 7 1. 25 0.28
431 A 7 6 1. 25 0.24
432 A 6 6 1. 25 0.24
433 A 5 5 1. 25 0.2
434 A 5 4 1. 25 0.16
435 A 5 4 1. 25 0.16
436 A 5 4 1. 25 0.16
437 A 5 4 1. 25 0.16
438 A 5 4 1. 25 0.16
439 A 4 4 1. 23 0.174
440 A 4 4 1. 23 0.174
441 A 6 6 1. 25 0.24
442 A 5 4 1. 25 0.16
443 A 4 4 1. 25 0.16
444 A 4 4 1. 25 0.16
445 A 4 3 1. 25 0.12
446 A 5 4 1. 25 0.16
447 A 5 4 1. 25 0.16
448 A 5 4 1. 25 0.16
449 A 4 4 1. 23 0.174
450 A 5 5 1. 23 0.217
451 A 6 6 1. 25 0.24
452 A 5 5 1. 25 0.2
453 A 5 5 1. 25 0.2
454 A 4 4 1. 25 0.16
455 A 5 4 1. 25 0.16
456 A 5 4 1. 25 0.16
457 A 6 6 1. 25 0.24
458 A 5 5 1. 25 0.2
459 A 4 4 1. 23 0.174
460 A 4 4 1. 23 0.174
461 A 5 5 1. 25 0.2
462 A 6 6 1. 25 0.24
463 A 7 7 1. 25 0.28
464 A 6 6 1. 25 0.24
465 A 2 2 1. 16 0.125
466 A 6 6 1. 25 0.24
467 A 7 7 1. 25 0.28
468 A 7 6 1. 25 0.24
469 A 6 5 1. 25 0.2
470 A 5 4 1. 23 0.174
471 A 5 4 1. 23 0.174
472 A 6 5 1. 25 0.2
473 A 7 6 0.98 25 0.24
474 A 8 8 1. 25 0.32
475 A 7 7 1. 25 0.28
476 A 6 6 1. 16 0.375
477 A 7 7 1. 25 0.28
478 A 8 8 1. 25 0.32
479 A 5 5 1. 25 0.2
480 A 4 4 1. 25 0.16
481 A 3 3 1. 23 0.13
482 A 3 3 1. 23 0.13
483 A 4 4 1. 25 0.16
484 A 5 5 1. 25 0.2
485 A 5 5 1. 25 0.2
486 A 6 6 1. 25 0.24
487 A 2 2 1. 16 0.125
488 A 6 6 1. 25 0.24
489 A 7 7 1. 25 0.28
490 A 6 6 1. 25 0.24
491 A 5 5 1. 25 0.2
492 A 4 4 1. 23 0.174
493 A 4 4 1. 23 0.174
494 A 5 5 1. 25 0.2
495 A 6 6 1. 25 0.24
496 A 6 6 1. 25 0.24
497 A 5 5 1. 25 0.2
498 A 4 4 1. 16 0.25
499 A 7 7 1. 25 0.28
500 A 8 7 1. 25 0.28
501 A 7 6 1. 25 0.24
502 A 6 5 1. 25 0.2
503 A 5 4 1. 23 0.174
504 A 5 4 1. 23 0.174
505 A 6 5 1. 25 0.2
506 A 7 6 1. 25 0.24
507 A 7 6 1. 25 0.24
508 A 6 6 1. 25 0.24
509 A 7 7 1. 16 0.438
510 A 8 8 1. 25 0.32
511 A 9 8 1. 25 0.32
512 A 3 3 1. 25 0.12
513 A 3 3 1. 23 0.13
514 A 2 2 1. 21 0.095
515 A 2 2 1. 21 0.095
516 A 3 3 1. 23 0.13
517 A 3 3 1. 23 0.13
518 A 3 3 1. 23 0.13
519 A 3 3 1. 23 0.13
520 A 3 3 1. 23 0.13
521 A 12 11 1. 15 0.733
522 A 4 4 1. 15 0.267
523 A 5 5 1. 15 0.333
524 A 4 4 1. 15 0.267
525 A 5 5 1. 15 0.333

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