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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 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 55, 56, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 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, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 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, 190, 191, 192, 194, 195, 196, 199, 201, 202, 205, 206, 208, 209, 210, 214, 215, 220, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 251, 253, 254, 255, 256, 257, 258, 259, 260, 261, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 274, 275, 278, 279, 280, 281, 286, 287, 289, 290, 291, 292, 293, 294, 295, 296, 298, 301, 302, 303, 306, 307, 308, 309, 310, 311, 312, 313, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 330, 335, 336, 337, 341, 345, 346, 350, 351, 352, 353, 354, 355, 356, 357, 359, 360, 361, 364, 365, 367, 368, 369, 370, 374, 375, 379, 382, 383, 384, 385, 388, 393, 394, 399, 403, 404, 406, 408, 411, 412, 413, 414, 417, 422, 423, 424, 425, 426, 427, 428, 429, 432, 433, 439, 440, 441, 442, 443, 446, 447, 448, 451, 452, 454, 455, 456, 457, 461, 462, 466, 467, 468, 471, 472, 473, 478, 479, 484, 488, 489, 493, 494, 495, 498 }

B grade: { 34, 49, 51, 57, 59, 110, 130, 135, 189, 193, 200, 207, 211, 212, 213, 217, 218, 219, 248, 249, 262, 273, 277, 283, 284, 285, 299, 300, 304, 305, 314, 328, 329, 331, 332, 333, 334, 343, 344, 348, 349, 358, 362, 363, 372, 373, 377, 378, 387, 391, 392, 401, 402, 407, 416, 420, 421, 430, 431, 435, 436, 437, 445, 450, 460, 464, 465, 469, 477, 482, 487, 491, 492, 496, 500 }

C grade: { 25, 29, 35, 71, 250, 297, 338, 339, 340, 380, 389, 396, 397, 398, 409, 418, 438, 449, 459, 470, 474, 476, 481, 483, 486, 497, 501 }

F grade: { 197, 198, 203, 204, 216, 221, 222, 237, 252, 276, 282, 288, 342, 347, 366, 371, 376, 381, 386, 390, 395, 400, 405, 410, 415, 419, 434, 444, 453, 458, 463, 475, 480, 485, 490, 499, 502}

2.1.3 Maple

A grade: { 4, 5, 6, 12, 13, 19, 20, 21, 25, 26, 27, 30, 31, 32, 36, 37, 65, 66, 67, 72, 76, 77, 99, 100, 104, 105, 106, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 139, 140, 144, 145, 149, 150, 151, 155, 156, 160, 161, 165, 166, 167, 172, 173, 176, 177, 179, 180, 181, 185, 186, 189, 190, 191, 192, 195, 197, 198, 200, 201, 203, 204, 207, 208, 209, 210, 214, 215, 216, 220, 221, 222, 226, 227, 231, 232, 235, 237, 241, 242, 246, 247, 251, 252, 256, 257, 258, 261, 263, 264, 266, 267, 268, 269, 270, 273, 275, 276, 278, 279, 280, 281, 282, 287, 288, 292, 293, 298, 303, 307, 308, 312, 313, 317, 318, 319, 320, 336, 337, 342, 347, 351, 352, 356, 357, 361, 365, 366, 371, 376, 381, 385, 386, 390, 394, 395, 400, 405, 410, 414, 415, 419, 423, 424, 429, 434, 438, 439, 443, 444, 448, 452, 453, 458, 463, 467, 468, 471, 472, 475, 479, 480, 484, 485, 490, 494, 495, 498, 499, 502 }

B grade: { 1, 2, 3, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 22, 23, 24, 28, 29, 33, 34, 35, 96, 97, 98, 101, 102, 103, 107, 108, 109, 113, 157, 158, 159, 162, 163, 164, 168, 171, 175, 178, 187, 188, 193, 194, 196, 199, 202, 205, 206, 211, 212, 213, 217, 218, 219, 225, 230, 236, 240, 245, 250, 253, 254, 255, 259, 260, 262, 265, 271, 272, 274, 277, 283, 284, 285, 286, 291, 296, 297, 301, 302, 306, 311, 315, 316, 321, 322, 324, 325, 327, 328, 330, 331, 335, 340, 341, 345, 346, 350, 355, 359, 360, 364, 369, 370, 374, 375, 379, 380, 384, 388, 389, 393, 398, 399, 403, 404, 408, 409, 413, 417, 418, 422, 427, 428, 432, 433, 437, 442, 446, 447, 451, 456, 457, 461, 462, 466, 470, 473, 474, 478, 483, 488, 489, 493, 497, 500, 501 }

C grade: { 60, 61, 62, 63, 64, 78, 79, 80, 81, 82, 83, 84 }

F grade: { 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 68, 69, 70, 71, 73, 74, 75, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 169, 170, 174, 182, 183, 184, 223, 224, 228, 229, 233, 234, 238, 239, 243, 244, 248, 249, 289, 290, 294, 295, 299, 300, 304, 305, 309, 310, 314, 323, 326, 329, 332, 333, 334, 338, 339, 343, 344, 348, 349, 353, 354, 358, 362, 363, 367, 368, 372, 373, 377, 378, 382, 383, 387, 391, 392, 396, 397, 401, 402, 406, 407, 411, 412, 416, 420, 421, 425, 426, 430, 431, 435, 436, 440, 441, 445, 449, 450, 454, 455, 459, 460, 464, 465, 469, 476, 477, 481, 482, 486, 487, 491, 492, 496 }

2.1.4 Maxima

A grade: { 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 26, 27, 31, 32, 36, 37, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 65, 66, 67, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 98, 99, 100, 101, 104, 105, 106, 107, 110, 111, 112, 116, 117, 139, 140, 144, 145, 149, 150, 151, 155, 156, 159, 160, 161, 162, 164, 165, 166, 167, 168, 172, 173, 176, 177, 179, 180, 181, 185, 186, 189, 190, 191, 192, 196, 197, 198, 202, 206, 208, 209, 210, 215, 216, 220, 221, 222, 227, 232, 237, 242, 247, 252, 254, 256, 257, 258, 263, 264, 268, 271, 272, 275, 276, 277, 279, 281, 282, 287, 288, 292, 293, 298, 303, 307, 308, 313, 316, 317, 318, 319, 320, 337, 342, 347, 351, 352, 357, 360, 361, 366, 371, 376, 380, 381, 386, 389, 390, 395, 400, 405, 409, 410, 415, 418, 419, 424, 429, 434, 438, 439, 444, 447, 448, 453, 458, 463, 467, 468, 472, 474, 475, 480, 485, 490, 494, 495, 499, 502

B grade: { 1, 2, 3, 4, 8, 9, 16, 17, 18, 19, 23, 24, 28, 30, 33, 34, 38, 39, 40, 41, 60, 61, 62, 96, 97, 102, 103, 108, 113, 115, 157, 158, 163, 187, 193, 195, 205, 211, 212, 214, 217, 218, 253, 259, 260, 261, 262, 274, 280, 283, 284, 286, 302, 336, 346, 365, 375, 394, 404, 423, 433, 452, 462, 479, 489, 501 }

C grade: { }

F grade: { 25, 29, 35, 68, 69, 70, 71, 74, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 109, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 169, 170, 171, 174, 175, 178, 182, 183, 184, 188, 194, 199, 200, 201, 203, 204, 207, 213, 219, 223, 224, 225, 226, 228, 229, 230, 231, 233, 234, 235, 236, 238, 239, 240, 241, 243, 244, 245, 246, 248, 249, 250, 251, 255, 265, 266, 267, 269, 270, 273, 278, 285, 289, 290, 291, 294, 295, 296, 297, 299, 300, 301, 304, 305, 306, 309, 310, 311, 312, 314, 315, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 338, 339, 340, 341, 343, 344, 345, 348, 349, 350, 353, 354, 355, 356, 358, 359, 362, 363, 364, 367, 368, 369, 370, 372, 373, 374, 377, 378, 379, 382, 383, 384, 385, 387, 388, 391, 392, 393, 396, 397, 398, 399, 401, 402, 403, 406, 407, 408, 411, 412, 413, 414, 416, 417, 420, 421, 422, 425, 426, 427, 428, 430, 431, 432, 435, 436, 437, 440, 441, 442, 443, 445, 446, 449, 450, 451, 454, 455, 456, 457, 459, 460, 461, 464, 465, 466, 469, 470, 471, 473, 476, 477, 478, 481, 482, 483, 484, 486, 487, 488, 491, 492, 493, 496, 497, 498, 500 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 9, 10, 11, 12, 18, 19, 20, 26, 27, 31, 32, 36, 37, 41, 48, 56, 62, 65, 66, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 98, 99, 100, 101, 104, 105, 106, 110, 111, 112, 115, 116, 117, 139, 140, 144, 145, 149, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 172, 173, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 189, 190, 191, 192, 195, 196, 197, 198, 201, 202, 203, 204, 208, 209, 210, 215, 216, 221, 222, 227, 232, 237, 242, 247, 252, 255, 256, 257, 258, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 275, 276, 279, 280, 281, 282, 287, 288, 293, 298, 303, 306, 307, 308, 313, 317, 318, 319, 320, 337, 342, 347, 350, 351, 352, 357, 361, 366, 371, 376, 379, 380, 381, 386, 390, 395, 400, 405, 410, 415, 419, 423, 424, 429, 434, 438, 439, 444, 453, 458, 463, 468, 472, 480, 485, 490, 499 }

B grade: { 6, 7, 8, 13, 14, 15, 16, 17, 21, 22, 25, 29, 30, 35, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 69, 96, 97, 102, 103, 107, 109, 114, 162, 168, 171, 175, 178, 188, 194, 200, 207, 213, 214, 219, 220, 225, 226, 230, 231, 235, 236, 240, 241, 245, 246, 250, 251, 259, 260, 273, 274, 278, 285, 286, 291, 292, 296, 297, 301, 302, 311, 312, 315, 316, 321, 322, 324, 325, 327, 328, 330, 331, 335, 336, 340, 341, 345, 346, 355, 356, 359, 360, 364, 365, 369, 370, 374, 375, 384, 385, 388, 389, 393, 394, 398, 399, 403, 404, 408, 409, 413, 414, 417, 418, 422, 427, 428, 432, 433, 437, 442, 443, 446, 447, 451, 452, 456, 457, 461, 462, 466, 467, 470, 471, 474, 478, 479, 483, 484, 488, 489, 493, 494, 497, 498, 501 }

C grade: { 23, 24, 28, 33, 34, 108, 113, 169, 170, 174, 187, 193, 199, 205, 206, 211, 212, 217, 218, 223, 224, 228, 229, 233, 234, 238, 239, 243, 244, 249, 253, 254, 271, 272, 277, 283, 284, 289, 290, 294, 295, 299, 300, 304, 305, 309, 310, 314, 323, 326, 329, 332, 333, 334, 338, 339, 343, 344, 348, 349, 353, 354, 358, 362, 363, 367, 368, 372, 373, 377, 378, 382, 383, 387, 391, 392, 396, 397, 402, 406, 407, 411, 412, 416, 420, 421, 425, 426, 430, 431, 435, 436, 440, 441, 449, 450, 454, 455, 459, 460, 464, 465, 469, 476, 477, 481, 482, 487, 492 }

F grade: { 67, 68, 70, 71, 92, 93, 94, 95, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 150, 248, 401, 445, 448, 473, 475, 486, 491, 495, 496, 500, 502 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 26, 27, 31, 32, 36, 37, 65, 66, 67, 72, 76, 77, 96, 97, 98, 102, 103, 104, 110, 115, 139, 140, 144, 145, 150, 157, 158, 159, 163, 164, 165, 185, 186, 190, 195, 196, 202, 226, 242, 247, 256, 259, 260, 261, 262, 265, 266, 267, 268, 275, 281, 292, 308, 313, 317, 318, 319, 320, 336, 352, 357, 361, 365, 381, 386, 390, 394, 410, 415, 419, 424, 429, 434, 453, 458, 463, 490 }

B grade: { }

C grade: { 60, 61, 62, 63, 64 }

F grade: { 5, 6, 7, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 28, 29, 30, 33, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 105, 106, 107, 108, 109, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 149, 151, 152, 153, 154, 155, 156, 160, 161, 162, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 187, 188, 189, 191, 192, 193, 194, 197, 198, 199, 200, 201, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 243, 244, 245, 246, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 263, 264, 269, 270, 271, 272, 273, 274, 276, 277, 278, 279, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 314, 315, 316, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 358, 359, 360, 362, 363, 364, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 382, 383, 384, 385, 387, 388, 389, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 411, 412, 413, 414, 416, 417, 418, 420, 421, 422, 423, 425, 426, 427, 428, 430, 431, 432, 433, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 454, 455, 456, 457, 459, 460, 461, 462, 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, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502 }

2.1.7 Giac

A grade: { 4, 5, 10, 11, 12, 19, 20, 26, 27, 31, 32, 36, 37, 38, 39, 40, 41, 60, 61, 62, 65, 66, 67, 72, 76, 77, 98, 99, 100, 104, 105, 110, 111, 112, 115, 116, 117, 139, 140, 144, 145, 149, 150, 151, 155, 156, 159, 160, 161, 165, 166, 167, 172, 173, 176, 177, 179, 180, 181, 185, 186, 190, 191, 192, 196, 197, 198, 202, 203, 204, 208, 209, 214, 220, 226, 227, 231, 232, 236, 237, 241, 246, 251, 256, 257, 258, 262, 263, 268, 269, 275, 276, 279, 280, 281, 292, 293, 297, 298, 302, 303, 307, 308, 312, 318, 319, 320, 336, 337, 341, 342, 346, 347, 351, 356, 360, 365, 366, 370, 371, 376, 380, 385, 389, 394, 395, 399, 400, 405, 409, 414, 418, 423, 424, 433, 434, 438, 439, 443, 452, 462, 471, 479, 490, 498 }

B grade: { 1, 2, 3, 6, 7, 8, 9, 14, 15, 16, 17, 18, 21, 22, 30, 96, 97, 101, 102, 103, 106, 107, 157, 158, 162, 163, 164, 168, 189, 195, 201, 259, 260, 261, 265, 266, 267, 274, 286, 316, 375, 404, 428, 447, 457, 467, 474, 484, 489, 494, 501 }

C grade: { }

F grade: { 13, 23, 24, 25, 28, 29, 33, 34, 35, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 108, 109, 113, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 169, 170, 171, 174, 175, 178, 182, 183, 184, 187, 188, 193, 194, 199, 200, 205, 206, 207, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 228, 229, 230, 233, 234, 235, 238, 239, 240, 242, 243, 244, 245, 247, 248, 249, 250, 252, 253, 254, 255, 264, 270, 271, 272, 273, 277, 278, 282, 283, 284, 285, 287, 288, 289, 290, 291, 294, 295, 296, 299, 300, 301, 304, 305, 306, 309, 310, 311, 313, 314, 315, 317, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 338, 339, 340, 343, 344, 345, 348, 349, 350, 352, 353, 354, 355, 357, 358, 359, 361, 362, 363, 364, 367, 368, 369, 372, 373, 374, 377, 378, 379, 381, 382, 383, 384, 386, 387, 388, 390, 391, 392, 393, 396, 397, 398, 401, 402, 403, 406, 407, 408, 410, 411, 412, 413, 415, 416, 417, 419, 420, 421, 422, 425, 426, 427, 429, 430, 431, 432, 435, 436, 437, 440, 441, 442, 444, 445, 446, 448, 449, 450, 451, 453, 454, 455, 456, 458, 459, 460, 461, 463, 464, 465, 466, 468, 469, 470, 472, 473, 475, 476, 477, 478, 480, 481, 482, 483, 485, 486, 487, 488, 491, 492, 493, 495, 496, 497, 499, 500, 502 }

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 B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 76 547 440 350 311 437
normalized size 1 1. 0.84 6.01 4.84 3.85 3.42 4.8
time (sec) N/A 0.12 0.347 0.033 1.123 2.599 3.237 1.168
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 61 308 300 231 202 275
normalized size 1 1. 0.87 4.4 4.29 3.3 2.89 3.93
time (sec) N/A 0.079 0.22 0.007 1.059 2.537 1.502 1.2
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 44 147 181 139 112 151
normalized size 1 1. 0.9 3. 3.69 2.84 2.29 3.08
time (sec) N/A 0.05 0.157 0.006 1.118 2.561 0.722 1.167
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 27 53 92 72 46 62
normalized size 1 1. 0.96 1.89 3.29 2.57 1.64 2.21
time (sec) N/A 0.02 0.063 0.004 1.088 2.529 0.265 1.148
Problem 5 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 51 51 49 82 77 193 0 77
normalized size 1 1. 0.96 1.61 1.51 3.78 0. 1.51
time (sec) N/A 0.109 0.085 0.059 1.289 2.58 0. 1.157
Problem 6 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 71 71 65 133 108 315 0 197
normalized size 1 1. 0.92 1.87 1.52 4.44 0. 2.77
time (sec) N/A 0.127 0.238 0.033 1.386 2.678 0. 1.275
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 88 277 127 518 0 406
normalized size 1 1. 0.85 2.66 1.22 4.98 0. 3.9
time (sec) N/A 0.166 0.558 0.039 1.384 2.61 0. 1.23
Problem 8 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 162 162 132 910 516 663 660 505
normalized size 1 1. 0.81 5.62 3.19 4.09 4.07 3.12
time (sec) N/A 0.105 0.681 0.016 1.257 2.683 7.344 1.24
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 104 523 355 459 456 328
normalized size 1 1. 0.78 3.9 2.65 3.43 3.4 2.45
time (sec) N/A 0.074 0.403 0.007 1.146 2.702 3.8 1.258
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 75 262 223 288 264 184
normalized size 1 1. 0.79 2.76 2.35 3.03 2.78 1.94
time (sec) N/A 0.054 0.311 0.007 1.14 2.693 1.771 1.18
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 52 103 119 165 126 85
normalized size 1 1. 0.95 1.87 2.16 3. 2.29 1.55
time (sec) N/A 0.026 0.162 0.006 1.218 2.626 0.8 1.219
Problem 12 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 78 78 66 97 97 232 0 92
normalized size 1 1. 0.85 1.24 1.24 2.97 0. 1.18
time (sec) N/A 0.165 0.122 0.074 1.384 2.64 0. 1.2
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 75 152 119 365 0 0
normalized size 1 1. 0.93 1.88 1.47 4.51 0. 0.
time (sec) N/A 0.155 0.444 0.072 1.389 2.721 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 102 299 134 597 0 446
normalized size 1 1. 0.91 2.67 1.2 5.33 0. 3.98
time (sec) N/A 0.195 0.916 0.076 1.477 2.714 0. 1.158
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 123 555 149 857 0 725
normalized size 1 1. 0.76 3.43 0.92 5.29 0. 4.48
time (sec) N/A 0.187 0.888 0.118 1.515 2.739 0. 1.156
Problem 16 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 225 225 150 1217 863 1141 772 883
normalized size 1 1. 0.67 5.41 3.84 5.07 3.43 3.92
time (sec) N/A 0.36 1.019 0.156 1.354 2.822 12.508 1.208
Problem 17 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 175 175 127 676 587 759 495 559
normalized size 1 1. 0.73 3.86 3.35 4.34 2.83 3.19
time (sec) N/A 0.226 0.992 0.007 1.377 2.578 6.796 1.23
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 86 320 363 466 284 311
normalized size 1 1. 0.7 2.6 2.95 3.79 2.31 2.53
time (sec) N/A 0.131 0.404 0.007 1.357 2.625 3.839 1.183
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 59 115 190 255 126 132
normalized size 1 1. 0.79 1.53 2.53 3.4 1.68 1.76
time (sec) N/A 0.058 0.183 0.007 1.227 2.625 1.82 1.186
Problem 20 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 121 121 102 166 158 400 0 153
normalized size 1 1. 0.84 1.37 1.31 3.31 0. 1.26
time (sec) N/A 0.282 0.239 0.083 1.393 2.531 0. 1.201
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 160 271 196 662 0 400
normalized size 1 1. 1.1 1.87 1.35 4.57 0. 2.76
time (sec) N/A 0.262 1.341 0.091 1.387 2.696 0. 1.246
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 220 562 196 1123 0 811
normalized size 1 1. 1.2 3.05 1.07 6.1 0. 4.41
time (sec) N/A 0.425 0.843 0.089 1.6 2.665 0. 1.186
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 191 541 450 986 0 0
normalized size 1 1. 1.28 3.63 3.02 6.62 0. 0.
time (sec) N/A 0.136 2.94 0.072 1.507 2.788 0. 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 118 306 263 635 0 0
normalized size 1 1. 1.19 3.09 2.66 6.41 0. 0.
time (sec) N/A 0.09 2.299 0.03 1.549 2.644 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 174 60 0 340 0 0
normalized size 1 1. 3.48 1.2 0. 6.8 0. 0.
time (sec) N/A 0.046 0.079 0.004 0. 2.635 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 11.29 0.051 0. 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 11.125 0.034 0. 0. 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 185 473 432 2689 0 0
normalized size 1 1. 1.8 4.59 4.19 26.11 0. 0.
time (sec) N/A 0.227 2.298 0.059 2. 2.853 0. 0.
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 74 74 198 240 0 1521 0 0
normalized size 1 1. 2.68 3.24 0. 20.55 0. 0.
time (sec) N/A 0.148 5.399 0.03 0. 2.79 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 52 56 123 431 0 108
normalized size 1 1. 1.79 1.93 4.24 14.86 0. 3.72
time (sec) N/A 0.03 0.099 0.02 1.143 2.577 0. 1.317
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 17.713 0.061 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 18.673 0.072 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 440 876 817 8979 0 0
normalized size 1 1. 1.72 3.42 3.19 35.07 0. 0.
time (sec) N/A 0.274 10.083 0.06 1.974 3.475 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 420 444 531 5252 0 0
normalized size 1 1. 2.73 2.88 3.45 34.1 0. 0.
time (sec) N/A 0.166 10.747 0.044 1.843 3.169 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 313 197 0 2677 0 0
normalized size 1 1. 3.4 2.14 0. 29.1 0. 0.
time (sec) N/A 0.081 2.674 0.033 0. 2.838 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 74.269 0.484 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 79.6 0.81 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 108 0 416 1179 0 313
normalized size 1 1. 0.63 0. 2.43 6.89 0. 1.83
time (sec) N/A 0.37 0.059 0.033 1.226 2.752 0. 1.372
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 106 0 362 894 0 273
normalized size 1 1. 0.73 0. 2.48 6.12 0. 1.87
time (sec) N/A 0.248 0.095 0.026 1.193 2.643 0. 1.335
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 104 0 311 718 0 227
normalized size 1 1. 0.85 0. 2.53 5.84 0. 1.85
time (sec) N/A 0.187 0.078 0.023 1.156 2.734 0. 1.275
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 104 0 244 273 0 124
normalized size 1 1. 1. 0. 2.35 2.62 0. 1.19
time (sec) N/A 0.135 0.038 0.03 1.151 2.629 0. 1.217
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 120 0 139 814 0 0
normalized size 1 1. 1.02 0. 1.18 6.9 0. 0.
time (sec) N/A 0.2 0.149 0.023 1.111 2.768 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 161 0 154 1226 0 0
normalized size 1 1. 1.08 0. 1.03 8.23 0. 0.
time (sec) N/A 0.251 0.754 0.025 1.336 2.787 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 168 0 154 1820 0 0
normalized size 1 1. 0.97 0. 0.89 10.46 0. 0.
time (sec) N/A 0.308 0.572 0.026 1.345 2.955 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 239 190 0 379 2319 0 0
normalized size 1 1. 0.79 0. 1.59 9.7 0. 0.
time (sec) N/A 0.449 6.591 0.062 1.749 3.198 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 163 0 323 1789 0 0
normalized size 1 1. 0.77 0. 1.53 8.48 0. 0.
time (sec) N/A 0.321 2.297 0.058 1.723 3.315 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 129 0 255 1438 0 0
normalized size 1 1. 0.78 0. 1.54 8.66 0. 0.
time (sec) N/A 0.296 0.579 0.055 1.629 2.912 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 142 0 144 369 0 0
normalized size 1 1. 1.02 0. 1.04 2.65 0. 0.
time (sec) N/A 0.241 0.13 0.062 1.681 2.824 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 570 0 157 1442 0 0
normalized size 1 1. 4.01 0. 1.11 10.15 0. 0.
time (sec) N/A 0.253 4.858 0.066 1.3 2.856 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 156 0 159 2053 0 0
normalized size 1 1. 0.9 0. 0.91 11.8 0. 0.
time (sec) N/A 0.321 1.215 0.066 1.309 3.016 0. 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 825 0 159 2974 0 0
normalized size 1 1. 3.75 0. 0.72 13.52 0. 0.
time (sec) N/A 0.322 9.187 0.067 1.316 3.084 0. 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 222 0 159 3951 0 0
normalized size 1 1. 0.88 0. 0.63 15.74 0. 0.
time (sec) N/A 0.395 0.563 0.069 1.294 3.576 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 243 0 693 4817 0 0
normalized size 1 1. 0.64 0. 1.82 12.64 0. 0.
time (sec) N/A 1.066 9.446 0.082 1.826 3.426 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 243 0 581 3622 0 0
normalized size 1 1. 0.75 0. 1.79 11.14 0. 0.
time (sec) N/A 0.799 3.891 0.078 1.793 3.301 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 209 0 450 2966 0 0
normalized size 1 1. 0.76 0. 1.64 10.79 0. 0.
time (sec) N/A 0.522 0.291 0.078 1.886 2.998 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 191 0 240 595 0 0
normalized size 1 1. 0.84 0. 1.05 2.61 0. 0.
time (sec) N/A 0.401 0.194 0.095 1.701 2.725 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 2058 0 266 3312 0 0
normalized size 1 1. 8.37 0. 1.08 13.46 0. 0.
time (sec) N/A 0.454 10.265 0.088 1.473 3.014 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 253 0 265 4826 0 0
normalized size 1 1. 0.91 0. 0.96 17.42 0. 0.
time (sec) N/A 0.673 3.061 0.084 1.428 3.153 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 3211 0 266 7120 0 0
normalized size 1 1. 9.7 0. 0.8 21.51 0. 0.
time (sec) N/A 0.775 18.188 0.089 1.425 3.811 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 50 132 236 467 133 194
normalized size 1 1. 0.45 1.19 2.13 4.21 1.2 1.75
time (sec) N/A 0.159 0.013 0.052 1.151 2.752 152.835 1.36
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 49 120 201 356 99 136
normalized size 1 1. 0.53 1.3 2.18 3.87 1.08 1.48
time (sec) N/A 0.11 0.016 0.024 1.225 2.735 3.05 1.404
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 47 71 157 138 70 82
normalized size 1 1. 0.61 0.92 2.04 1.79 0.91 1.06
time (sec) N/A 0.076 0.009 0.022 1.218 2.636 1.477 1.314
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 49 120 100 355 94 0
normalized size 1 1. 0.56 1.38 1.15 4.08 1.08 0.
time (sec) N/A 0.112 0.02 0.022 1.136 2.699 7.424 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 84 132 77 454 129 0
normalized size 1 1. 0.74 1.16 0.68 3.98 1.13 0.
time (sec) N/A 0.149 0.083 0.024 1.187 2.648 175.807 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 23.482 0.042 0. 0. 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.03 21.786 0.043 0. 0. 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 61 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 6.015 0.033 0. 0. 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 17 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.113 0.075 0. 0. 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 22 0 0 375 0 0
normalized size 1 1. 0.92 0. 0. 15.62 0. 0.
time (sec) N/A 0.06 0.071 0.069 0. 2.621 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 33 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.117 0.092 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 68 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.118 1.242 0.073 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 2.994 0.063 0. 0. 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 206 0 217 799 0 0
normalized size 1 1. 0.87 0. 0.92 3.37 0. 0.
time (sec) N/A 0.318 0.198 0.089 1.546 2.921 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 131 0 0 597 0 0
normalized size 1 1. 0.91 0. 0. 4.15 0. 0.
time (sec) N/A 0.197 0.168 0.074 0. 2.692 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 101 0 107 377 0 0
normalized size 1 1. 0.92 0. 0.97 3.43 0. 0.
time (sec) N/A 0.093 0.055 0.043 1.282 2.779 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 6.427 0.029 0. 0. 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 3.779 0.033 0. 0. 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 73 74 258 0 0
normalized size 1 1. 0.92 1.24 1.25 4.37 0. 0.
time (sec) N/A 0.078 0.026 0.042 1.231 2.79 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 53 73 74 258 0 0
normalized size 1 1. 0.9 1.24 1.25 4.37 0. 0.
time (sec) N/A 0.073 0.019 0.048 1.34 2.733 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 73 74 258 0 0
normalized size 1 1. 0.92 1.24 1.25 4.37 0. 0.
time (sec) N/A 0.074 0.022 0.04 1.299 2.744 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 53 73 74 225 0 0
normalized size 1 1. 0.9 1.24 1.25 3.81 0. 0.
time (sec) N/A 0.07 0.017 0.034 1.319 2.705 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 67 58 236 0 0
normalized size 1 1. 1. 1.37 1.18 4.82 0. 0.
time (sec) N/A 0.069 0.022 0.041 1.217 2.693 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 51 67 74 258 0 0
normalized size 1 1. 0.93 1.22 1.35 4.69 0. 0.
time (sec) N/A 0.069 0.018 0.046 1.285 2.688 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 71 74 258 0 0
normalized size 1 1. 0.92 1.2 1.25 4.37 0. 0.
time (sec) N/A 0.071 0.022 0.03 1.325 2.698 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 79 0 0 427 0 0
normalized size 1 1. 0.92 0. 0. 4.97 0. 0.
time (sec) N/A 0.159 0.127 0.046 0. 2.748 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 78 0 0 427 0 0
normalized size 1 1. 0.92 0. 0. 5.02 0. 0.
time (sec) N/A 0.136 0.123 0.044 0. 2.759 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 79 0 0 427 0 0
normalized size 1 1. 0.92 0. 0. 4.97 0. 0.
time (sec) N/A 0.14 0.13 0.076 0. 2.773 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 76 0 0 375 0 0
normalized size 1 1. 0.89 0. 0. 4.41 0. 0.
time (sec) N/A 0.127 0.105 0.053 0. 2.704 0. 0.
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 63 0 0 365 0 0
normalized size 1 1. 0.88 0. 0. 5.07 0. 0.
time (sec) N/A 0.127 0.076 0.069 0. 2.754 0. 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 72 0 0 424 0 0
normalized size 1 1. 0.87 0. 0. 5.11 0. 0.
time (sec) N/A 0.137 0.1 0.046 0. 2.796 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 77 0 0 427 0 0
normalized size 1 1. 0.92 0. 0. 5.08 0. 0.
time (sec) N/A 0.143 0.112 0.049 0. 2.781 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 17 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.094 0.077 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 17 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.118 0.124 0.073 0. 0. 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 45 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.13 0.11 0.081 0. 0. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 63 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.144 0.071 0. 0. 0. 0.
Problem 96 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 98 128 494 317 656 573 356
normalized size 1 1. 1.31 5.04 3.23 6.69 5.85 3.63
time (sec) N/A 0.14 0.832 0.01 1.099 2.787 2.23 1.297
Problem 97 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 74 74 88 249 190 402 350 205
normalized size 1 1. 1.19 3.36 2.57 5.43 4.73 2.77
time (sec) N/A 0.097 0.472 0.01 1.065 2.648 1.532 1.263
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 96 89 192 177 96
normalized size 1 1. 0.96 1.92 1.78 3.84 3.54 1.92
time (sec) N/A 0.053 0.084 0.009 1.043 2.632 0.944 1.297
Problem 99 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 70 70 60 96 96 162 0 96
normalized size 1 1. 0.86 1.37 1.37 2.31 0. 1.37
time (sec) N/A 0.161 0.295 0.045 1.208 2.773 0. 1.291
Problem 100 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 95 95 83 153 119 290 0 225
normalized size 1 1. 0.87 1.61 1.25 3.05 0. 2.37
time (sec) N/A 0.189 0.488 0.053 1.221 2.788 0. 1.284
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 109 303 134 471 0 451
normalized size 1 1. 0.83 2.31 1.02 3.6 0. 3.44
time (sec) N/A 0.232 0.669 0.06 1.22 2.73 0. 1.348
Problem 102 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 245 245 220 1082 709 1283 1153 788
normalized size 1 1. 0.9 4.42 2.89 5.24 4.71 3.22
time (sec) N/A 0.287 1.49 0.018 1.152 3.273 4.628 1.346
Problem 103 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 174 174 189 550 440 768 706 455
normalized size 1 1. 1.09 3.16 2.53 4.41 4.06 2.61
time (sec) N/A 0.197 0.713 0.014 1.269 3.045 3.206 1.26
Problem 104 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 122 122 86 215 225 389 364 215
normalized size 1 1. 0.7 1.76 1.84 3.19 2.98 1.76
time (sec) N/A 0.105 1.209 0.015 1.186 2.956 2.064 1.24
Problem 105 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 149 149 117 193 203 309 0 188
normalized size 1 1. 0.79 1.3 1.36 2.07 0. 1.26
time (sec) N/A 0.352 0.395 0.119 1.388 2.811 0. 1.334
Problem 106 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 170 170 214 313 247 581 0 485
normalized size 1 1. 1.26 1.84 1.45 3.42 0. 2.85
time (sec) N/A 0.34 0.661 0.141 1.395 2.708 0. 2.11
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 198 625 277 959 0 953
normalized size 1 1. 0.84 2.65 1.17 4.06 0. 4.04
time (sec) N/A 0.53 2.355 0.154 1.397 2.905 0. 1.401
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 206 435 320 863 0 0
normalized size 1 1. 1.56 3.3 2.42 6.54 0. 0.
time (sec) N/A 0.302 2.894 0.112 1.683 2.727 0. 0.
Problem 109 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 101 101 150 227 0 483 0 0
normalized size 1 1. 1.49 2.25 0. 4.78 0. 0.
time (sec) N/A 0.219 2.219 0.056 0. 2.697 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 185 66 101 151 56 97
normalized size 1 1. 2.94 1.05 1.6 2.4 0.89 1.54
time (sec) N/A 0.074 0.451 0.056 1.068 3.194 0.69 1.217
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 20.624 0.098 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 21.087 0.164 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 443 723 856 2147 0 0
normalized size 1 1. 1.45 2.37 2.81 7.04 0. 0.
time (sec) N/A 0.398 6.247 0.141 1.999 2.604 0. 0.
Problem 114 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 241 241 269 374 0 1162 0 0
normalized size 1 1. 1.12 1.55 0. 4.82 0. 0.
time (sec) N/A 0.278 3.557 0.113 0. 2.504 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 241 113 346 398 173 285
normalized size 1 1. 1.53 0.72 2.19 2.52 1.09 1.8
time (sec) N/A 0.109 1.081 0.103 1.196 2.539 8.021 1.325
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 36.176 0.823 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 37.907 1.103 0. 0. 0. 0.
Problem 118 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 181 181 141 174 0 0 0 0
normalized size 1 1. 0.78 0.96 0. 0. 0. 0.
time (sec) N/A 0.212 0.236 0.087 0. 0. 0. 0.
Problem 119 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 136 136 125 151 0 0 0 0
normalized size 1 1. 0.92 1.11 0. 0. 0. 0.
time (sec) N/A 0.172 0.3 0.062 0. 0. 0. 0.
Problem 120 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 111 111 105 128 0 0 0 0
normalized size 1 1. 0.95 1.15 0. 0. 0. 0.
time (sec) N/A 0.141 0.224 0.06 0. 0. 0. 0.
Problem 121 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 66 66 87 105 0 0 0 0
normalized size 1 1. 1.32 1.59 0. 0. 0. 0.
time (sec) N/A 0.075 0.164 0.057 0. 0. 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 96 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.146 0.159 0.305 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 133 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.175 0.254 0.062 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 170 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.198 0.34 0.059 0. 0. 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 377 377 269 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.351 1.403 0.046 0. 0. 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 173 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.251 1.125 0.046 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 138 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.133 0.776 0.043 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 146 0 0 0 0 0
normalized size 1 1. 0.56 0. 0. 0. 0. 0.
time (sec) N/A 0.273 0.785 0.045 0. 0. 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 302 302 243 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.29 0.974 0.046 0. 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 638 638 2918 0 0 0 0 0
normalized size 1 1. 4.57 0. 0. 0. 0. 0.
time (sec) N/A 0.64 7.439 0.063 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 506 506 300 0 0 0 0 0
normalized size 1 1. 0.59 0. 0. 0. 0. 0.
time (sec) N/A 0.39 1.807 0.046 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 312 312 218 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.208 1.387 0.046 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 403 403 242 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 0.418 1.497 0.046 0. 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 444 444 347 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.437 2.434 0.046 0. 0. 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 536 4751 0 0 0 0 0
normalized size 1 1. 8.86 0. 0. 0. 0. 0.
time (sec) N/A 0.638 7.686 0.044 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 493 493 331 0 0 0 0 0
normalized size 1 1. 0.67 0. 0. 0. 0. 0.
time (sec) N/A 0.261 1.27 0.201 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 276 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.974 0.069 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 221 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.505 0.066 0. 0. 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 3.843 0.052 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 3.952 0.053 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 807 807 546 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.438 3.239 0.047 0. 0. 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 506 506 384 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.311 1.764 0.047 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 332 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.169 0.853 0.046 0. 0. 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 21.625 0.046 0. 0. 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 24.086 0.044 0. 0. 0. 0.
Problem 146 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 1016 1016 1200 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.677 4.532 0.046 0. 0. 0. 0.
Problem 147 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 689 689 482 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.46 2.284 0.048 0. 0. 0. 0.
Problem 148 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 416 416 411 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.243 1.577 0.045 0. 0. 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 35.33 0.046 0. 0. 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 3.972 0.073 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 3.916 0.048 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 410 339 0 0 857 0 0
normalized size 1 1. 0.83 0. 0. 2.09 0. 0.
time (sec) N/A 0.602 1.585 0.12 0. 2.832 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 229 0 0 581 0 0
normalized size 1 1. 0.85 0. 0. 2.17 0. 0.
time (sec) N/A 0.361 0.799 0.101 0. 2.617 0. 0.
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 207 0 0 301 0 0
normalized size 1 1. 1.53 0. 0. 2.23 0. 0.
time (sec) N/A 0.154 0.56 0.056 0. 2.542 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 4.278 0.034 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 15.745 0.058 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 123 482 316 365 264 351
normalized size 1 1. 1.38 5.42 3.55 4.1 2.97 3.94
time (sec) N/A 0.143 0.451 0.01 1.312 2.424 1.933 1.267
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 83 240 188 231 151 200
normalized size 1 1. 1.24 3.58 2.81 3.45 2.25 2.99
time (sec) N/A 0.096 0.309 0.007 1.186 2.456 0.88 1.328
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 91 88 128 68 89
normalized size 1 1. 0.96 2.02 1.96 2.84 1.51 1.98
time (sec) N/A 0.048 0.111 0.007 1.302 2.46 0.365 1.281
Problem 160 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 64 64 57 94 96 230 0 95
normalized size 1 1. 0.89 1.47 1.5 3.59 0. 1.48
time (sec) N/A 0.124 0.144 0.023 1.425 2.494 0. 1.249
Problem 161 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 87 87 71 149 119 351 0 225
normalized size 1 1. 0.82 1.71 1.37 4.03 0. 2.59
time (sec) N/A 0.169 0.366 0.022 1.455 2.471 0. 1.307
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 95 296 134 572 0 441
normalized size 1 1. 0.77 2.41 1.09 4.65 0. 3.59
time (sec) N/A 0.205 0.639 0.024 1.466 2.458 0. 1.247
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 235 1061 702 880 779 813
normalized size 1 1. 0.94 4.24 2.81 3.52 3.12 3.25
time (sec) N/A 0.29 1.383 0.014 1.334 2.495 5.313 1.263
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 249 535 435 541 456 470
normalized size 1 1. 1.37 2.94 2.39 2.97 2.51 2.58
time (sec) N/A 0.202 0.753 0.016 1.271 2.479 2.357 1.296
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 98 208 221 294 219 220
normalized size 1 1. 0.84 1.79 1.91 2.53 1.89 1.9
time (sec) N/A 0.106 0.745 0.014 1.255 2.3 0.935 1.237
Problem 166 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 156 156 134 201 200 483 0 200
normalized size 1 1. 0.86 1.29 1.28 3.1 0. 1.28
time (sec) N/A 0.325 0.298 0.108 1.593 2.507 0. 1.294
Problem 167 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 183 183 232 319 244 778 0 487
normalized size 1 1. 1.27 1.74 1.33 4.25 0. 2.66
time (sec) N/A 0.35 0.642 0.128 1.502 2.564 0. 2.087
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 395 626 274 1237 0 948
normalized size 1 1. 1.63 2.59 1.13 5.11 0. 3.92
time (sec) N/A 0.447 0.96 0.135 1.587 2.47 0. 1.31
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 404 404 318 0 0 2412 0 0
normalized size 1 1. 0.79 0. 0. 5.97 0. 0.
time (sec) N/A 0.826 0.261 0.168 0. 2.721 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 233 0 0 1733 0 0
normalized size 1 1. 0.79 0. 0. 5.85 0. 0.
time (sec) N/A 0.669 0.156 0.12 0. 2.52 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 142 393 0 1127 0 0
normalized size 1 1. 0.76 2.1 0. 6.03 0. 0.
time (sec) N/A 0.369 0.037 0.054 0. 2.545 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.944 0.036 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.939 0.036 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 549 549 428 0 0 8910 0 0
normalized size 1 1. 0.78 0. 0. 16.23 0. 0.
time (sec) N/A 1.037 1.935 0.29 0. 3.528 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 194 519 0 4073 0 0
normalized size 1 1. 0.76 2.04 0. 16.04 0. 0.
time (sec) N/A 0.442 1.075 0.103 0. 3.115 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 53.355 0.283 0. 0. 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 55.645 0.47 0. 0. 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 544 544 836 1232 0 13728 0 0
normalized size 1 1. 1.54 2.26 0. 25.24 0. 0.
time (sec) N/A 2.081 9.854 0.192 0. 3.711 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 104.981 0.61 0. 0. 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 98.068 0.79 0. 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 4.448 0.042 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 543 543 448 0 0 1885 0 0
normalized size 1 1. 0.83 0. 0. 3.47 0. 0.
time (sec) N/A 0.807 1.747 0.108 0. 2.967 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 254 0 0 1191 0 0
normalized size 1 1. 0.9 0. 0. 4.24 0. 0.
time (sec) N/A 0.375 0.764 0.089 0. 2.493 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 118 0 0 585 0 0
normalized size 1 1. 0.9 0. 0. 4.47 0. 0.
time (sec) N/A 0.148 0.192 0.046 0. 2.731 0. 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 1.194 0.03 0. 0. 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 5.302 0.068 0. 0. 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 232 501 428 1096 0 0
normalized size 1 1. 1.42 3.07 2.63 6.72 0. 0.
time (sec) N/A 0.356 3.276 0.103 1.731 2.483 0. 0.
Problem 188 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 130 130 188 269 0 649 0 0
normalized size 1 1. 1.45 2.07 0. 4.99 0. 0.
time (sec) N/A 0.272 2.455 0.069 0. 2.464 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 239 86 146 235 0 180
normalized size 1 1. 2.66 0.96 1.62 2.61 0. 2.
time (sec) N/A 0.112 0.637 0.079 1.267 2.538 0. 1.215
Problem 190 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 35 35 61 67 49 78 24 46
normalized size 1 1. 1.74 1.91 1.4 2.23 0.69 1.31
time (sec) N/A 0.044 0.207 0.026 1.152 2.322 0.353 1.235
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 48.143 0.091 0. 0. 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 41.715 0.102 0. 0. 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 857 688 906 1904 0 0
normalized size 1 1. 3.56 2.85 3.76 7.9 0. 0.
time (sec) N/A 0.526 6.595 0.183 1.983 2.628 0. 0.
Problem 194 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 184 184 260 374 0 1123 0 0
normalized size 1 1. 1.41 2.03 0. 6.1 0. 0.
time (sec) N/A 0.391 3.46 0.13 0. 2.723 0. 0.
Problem 195 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 119 119 238 134 325 416 449 367
normalized size 1 1. 2. 1.13 2.73 3.5 3.77 3.08
time (sec) N/A 0.177 1.089 0.106 1.341 2.666 2.36 1.528
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 59 107 100 178 102 89
normalized size 1 1. 1.13 2.06 1.92 3.42 1.96 1.71
time (sec) N/A 0.089 0.221 0.036 1.009 2.463 0.748 1.411
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 180.001 0.128 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 180.002 0.218 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 393 393 376 928 0 2449 0 0
normalized size 1 1. 0.96 2.36 0. 6.23 0. 0.
time (sec) N/A 0.702 7.311 0.155 0. 2.782 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 1661 508 0 1419 0 0
normalized size 1 1. 5.79 1.77 0. 4.94 0. 0.
time (sec) N/A 0.547 5.136 0.128 0. 2.678 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 325 197 0 586 0 479
normalized size 1 1. 1.86 1.13 0. 3.35 0. 2.74
time (sec) N/A 0.263 1.802 0.109 0. 2.556 0. 1.437
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 109 196 132 243 180 127
normalized size 1 1. 1.31 2.36 1.59 2.93 2.17 1.53
time (sec) N/A 0.08 0.164 0.041 1.029 2.6 1.391 1.47
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 180.003 0.137 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 180.002 0.157 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 313 313 363 1034 783 2367 0 0
normalized size 1 1. 1.16 3.3 2.5 7.56 0. 0.
time (sec) N/A 0.482 5.599 0.268 1.969 2.824 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 275 573 468 1368 0 0
normalized size 1 1. 1.23 2.56 2.09 6.11 0. 0.
time (sec) N/A 0.346 4.153 0.131 1.856 2.71 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 345 211 0 548 0 0
normalized size 1 1. 2.74 1.67 0. 4.35 0. 0.
time (sec) N/A 0.147 1.252 0.132 0. 2.625 0. 0.
Problem 208 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 41 41 52 42 84 154 0 72
normalized size 1 1. 1.27 1.02 2.05 3.76 0. 1.76
time (sec) N/A 0.06 0.064 0.037 1.086 2.496 0. 1.243
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 46.109 0.742 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 57.749 1.383 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 419 419 1042 1535 1268 5860 0 0
normalized size 1 1. 2.49 3.66 3.03 13.99 0. 0.
time (sec) N/A 0.805 17.279 0.266 2.224 3.037 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 715 847 814 3237 0 0
normalized size 1 1. 2.42 2.86 2.75 10.94 0. 0.
time (sec) N/A 0.583 13.087 0.151 2.081 2.763 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 454 316 0 1272 0 0
normalized size 1 1. 2.79 1.94 0. 7.8 0. 0.
time (sec) N/A 0.228 5.436 0.151 0. 2.592 0. 0.
Problem 214 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 57 57 61 79 149 378 0 128
normalized size 1 1. 1.07 1.39 2.61 6.63 0. 2.25
time (sec) N/A 0.086 0.205 0.04 1.072 2.566 0. 1.228
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 131.951 0.571 0. 0. 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 180.001 1.329 0. 0. 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 546 546 2479 2058 1777 10116 0 0
normalized size 1 1. 4.54 3.77 3.25 18.53 0. 0.
time (sec) N/A 1.212 68.67 0.256 2.749 3.725 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 368 368 1378 1107 1165 5378 0 0
normalized size 1 1. 3.74 3.01 3.17 14.61 0. 0.
time (sec) N/A 0.856 17.044 0.192 2.444 2.959 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 541 423 0 2163 0 0
normalized size 1 1. 2.53 1.98 0. 10.11 0. 0.
time (sec) N/A 0.367 2.887 0.184 0. 2.772 0. 0.
Problem 220 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 87 87 90 119 213 640 0 142
normalized size 1 1. 1.03 1.37 2.45 7.36 0. 1.63
time (sec) N/A 0.123 0.419 0.049 1.152 2.603 0. 1.215
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 180.023 1.332 0. 0. 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 180.047 2.257 0. 0. 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 453 453 607 0 0 2677 0 0
normalized size 1 1. 1.34 0. 0. 5.91 0. 0.
time (sec) N/A 0.794 2.312 0.241 0. 3.122 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 366 0 0 1913 0 0
normalized size 1 1. 1.09 0. 0. 5.68 0. 0.
time (sec) N/A 0.709 1.691 0.179 0. 2.742 0. 0.
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 163 440 0 1243 0 0
normalized size 1 1. 0.74 2. 0. 5.65 0. 0.
time (sec) N/A 0.413 0.699 0.069 0. 2.53 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 64 87 0 473 371 115
normalized size 1 1. 1.19 1.61 0. 8.76 6.87 2.13
time (sec) N/A 0.075 0.106 0.003 0. 2.473 169.228 1.296
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 9.225 0.065 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 551 551 979 0 0 5847 0 0
normalized size 1 1. 1.78 0. 0. 10.61 0. 0.
time (sec) N/A 1.027 2.97 0.105 0. 3.192 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 407 407 453 0 0 3897 0 0
normalized size 1 1. 1.11 0. 0. 9.57 0. 0.
time (sec) N/A 0.853 3.032 0.088 0. 2.811 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 299 510 0 2272 0 0
normalized size 1 1. 1.13 1.93 0. 8.61 0. 0.
time (sec) N/A 0.487 2.186 0.071 0. 2.661 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 74 132 0 822 0 161
normalized size 1 1. 1.04 1.86 0. 11.58 0. 2.27
time (sec) N/A 0.128 0.275 0.03 0. 2.521 0. 1.168
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 136.201 0.088 0. 0. 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 712 712 1407 0 0 11113 0 0
normalized size 1 1. 1.98 0. 0. 15.61 0. 0.
time (sec) N/A 1.235 4.584 0.099 0. 4.027 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 522 522 740 0 0 7156 0 0
normalized size 1 1. 1.42 0. 0. 13.71 0. 0.
time (sec) N/A 1.044 4.36 0.086 0. 3.252 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 307 589 0 3992 0 0
normalized size 1 1. 0.92 1.76 0. 11.92 0. 0.
time (sec) N/A 0.593 2.687 0.067 0. 2.91 0. 0.
Problem 236 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 107 107 101 262 0 1434 0 217
normalized size 1 1. 0.94 2.45 0. 13.4 0. 2.03
time (sec) N/A 0.221 0.305 0.03 0. 2.428 0. 1.203
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 180.002 0.091 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 605 605 757 0 0 3903 0 0
normalized size 1 1. 1.25 0. 0. 6.45 0. 0.
time (sec) N/A 0.965 3.12 0.438 0. 3.052 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 433 433 454 0 0 2674 0 0
normalized size 1 1. 1.05 0. 0. 6.18 0. 0.
time (sec) N/A 0.814 2.12 0.334 0. 2.682 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 306 532 0 1621 0 0
normalized size 1 1. 1.17 2.04 0. 6.21 0. 0.
time (sec) N/A 0.46 1.95 0.112 0. 2.547 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 69 65 0 591 0 144
normalized size 1 1. 1.08 1.02 0. 9.23 0. 2.25
time (sec) N/A 0.088 0.082 0.003 0. 2.662 0. 1.587
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 5.925 0.065 0. 0. 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 745 745 1353 0 0 13974 0 0
normalized size 1 1. 1.82 0. 0. 18.76 0. 0.
time (sec) N/A 1.311 18.596 0.692 0. 4.129 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 535 535 795 0 0 8581 0 0
normalized size 1 1. 1.49 0. 0. 16.04 0. 0.
time (sec) N/A 1.08 16.147 0.743 0. 3.497 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 405 626 0 4370 0 0
normalized size 1 1. 1.32 2.05 0. 14.28 0. 0.
time (sec) N/A 0.565 5.601 0.105 0. 2.892 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 100 105 0 1200 0 177
normalized size 1 1. 1.25 1.31 0. 15. 0. 2.21
time (sec) N/A 0.147 0.734 0.003 0. 2.869 0. 1.63
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 117.797 0.879 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1053 1053 2800 0 0 0 0 0
normalized size 1 1. 2.66 0. 0. 0. 0. 0.
time (sec) N/A 1.752 45.331 0.806 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 725 725 1531 0 0 22066 0 0
normalized size 1 1. 2.11 0. 0. 30.44 0. 0.
time (sec) N/A 1.372 25.65 0.655 0. 4.142 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 420 736 861 0 10647 0 0
normalized size 1 1. 1.75 2.05 0. 25.35 0. 0.
time (sec) N/A 0.726 7.984 0.162 0. 2.998 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 145 164 0 2844 0 248
normalized size 1 1. 1.28 1.45 0. 25.17 0. 2.19
time (sec) N/A 0.404 1.944 0.003 0. 3.025 0. 1.231
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 180.001 1.941 0. 0. 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 118 635 356 752 0 0
normalized size 1 1. 0.85 4.57 2.56 5.41 0. 0.
time (sec) N/A 0.213 0.078 0.118 1.641 2.173 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 94 393 221 482 0 0
normalized size 1 1. 0.89 3.71 2.08 4.55 0. 0.
time (sec) N/A 0.184 0.05 0.073 1.562 2.229 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 66 188 0 252 0 0
normalized size 1 1. 0.9 2.58 0. 3.45 0. 0.
time (sec) N/A 0.111 0.026 0.073 0. 2.188 0. 0.
Problem 256 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 23 23 23 23 27 57 22 45
normalized size 1 1. 1. 1. 1.17 2.48 0.96 1.96
time (sec) N/A 0.027 0.015 0.013 1.124 2.184 4.537 1.236
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 27.507 0.088 0. 0. 0. 0.
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 32.427 0.09 0. 0. 0. 0.
Problem 259 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 108 108 106 448 504 605 610 1084
normalized size 1 1. 0.98 4.15 4.67 5.6 5.65 10.04
time (sec) N/A 0.164 0.779 0.045 2.022 2.218 2.666 1.346
Problem 260 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 82 82 78 223 366 373 376 648
normalized size 1 1. 0.95 2.72 4.46 4.55 4.59 7.9
time (sec) N/A 0.126 0.484 0.042 1.598 2.165 1.947 1.261
Problem 261 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 56 56 57 84 254 178 194 312
normalized size 1 1. 1.02 1.5 4.54 3.18 3.46 5.57
time (sec) N/A 0.072 0.638 0.04 1.509 2.151 1.102 1.163
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 139 85 59 92 82 47
normalized size 1 1. 6.32 3.86 2.68 4.18 3.73 2.14
time (sec) N/A 0.043 0.145 0.044 1.062 2.113 0.434 1.224
Problem 263 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 76 76 62 103 103 159 0 109
normalized size 1 1. 0.82 1.36 1.36 2.09 0. 1.43
time (sec) N/A 0.204 0.321 0.09 1.515 2.19 0. 1.189
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 85 164 124 278 0 0
normalized size 1 1. 0.83 1.59 1.2 2.7 0. 0.
time (sec) N/A 0.221 0.528 0.095 1.657 2.166 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 134 429 0 906 1061 1357
normalized size 1 1. 0.58 1.86 0. 3.92 4.59 5.87
time (sec) N/A 0.261 1.3 0.16 0. 2.22 4.774 1.287
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 99 241 0 520 644 764
normalized size 1 1. 0.58 1.41 0. 3.04 3.77 4.47
time (sec) N/A 0.186 0.911 0.138 0. 2.13 3.36 1.222
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 60 113 0 242 330 332
normalized size 1 1. 0.61 1.15 0. 2.47 3.37 3.39
time (sec) N/A 0.1 1.133 0.121 0. 2.145 2.076 1.195
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 29 81 120 136 65
normalized size 1 1. 0.82 0.85 2.38 3.53 4. 1.91
time (sec) N/A 0.048 0.049 0.015 1.163 2.089 0.766 1.159
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 112 180 0 258 0 208
normalized size 1 1. 0.85 1.37 0. 1.97 0. 1.59
time (sec) N/A 0.324 0.419 0.114 0. 2.122 0. 1.187
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 212 299 0 510 0 0
normalized size 1 1. 1.18 1.66 0. 2.83 0. 0.
time (sec) N/A 0.392 0.713 0.125 0. 2.213 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 463 463 767 1152 923 3418 0 0
normalized size 1 1. 1.66 2.49 1.99 7.38 0. 0.
time (sec) N/A 0.483 11.38 0.244 2.029 2.454 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 501 613 522 1958 0 0
normalized size 1 1. 1.87 2.29 1.95 7.31 0. 0.
time (sec) N/A 0.264 11.362 0.132 1.995 2.388 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 707 268 0 902 0 0
normalized size 1 1. 4.39 1.66 0. 5.6 0. 0.
time (sec) N/A 0.142 2.691 0.151 0. 2.289 0. 0.
Problem 274 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 42 42 30 91 117 267 0 147
normalized size 1 1. 0.71 2.17 2.79 6.36 0. 3.5
time (sec) N/A 0.057 0.048 0.046 1.168 2.12 0. 1.153
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 65.483 0.714 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 31 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 180.007 1.079 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 450 450 1049 1001 984 3393 0 0
normalized size 1 1. 2.33 2.22 2.19 7.54 0. 0.
time (sec) N/A 0.589 12.276 0.18 2.502 2.413 0. 0.
Problem 278 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 325 325 564 509 0 1760 0 0
normalized size 1 1. 1.74 1.57 0. 5.42 0. 0.
time (sec) N/A 0.387 8.262 0.154 0. 2.246 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 194 143 339 527 0 352
normalized size 1 1. 1.23 0.91 2.15 3.34 0. 2.23
time (sec) N/A 0.158 1.134 0.164 1.339 2.298 0. 1.219
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 75 140 144 0 81
normalized size 1 1. 1. 1.6 2.98 3.06 0. 1.72
time (sec) N/A 0.055 0.046 0.049 1.182 2.071 0. 1.159
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 122.852 0.248 0. 0. 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 180.02 1.753 0. 0. 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 667 667 1804 2026 1800 9095 0 0
normalized size 1 1. 2.7 3.04 2.7 13.64 0. 0.
time (sec) N/A 0.711 13.394 0.259 6.253 2.896 0. 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 423 423 1284 1044 1081 5145 0 0
normalized size 1 1. 3.04 2.47 2.56 12.16 0. 0.
time (sec) N/A 0.398 12.986 0.208 3.734 2.77 0. 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 1290 445 0 2423 0 0
normalized size 1 1. 5.54 1.91 0. 10.4 0. 0.
time (sec) N/A 0.19 6.668 0.213 0. 2.445 0. 0.
Problem 286 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 91 91 101 180 243 763 0 250
normalized size 1 1. 1.11 1.98 2.67 8.38 0. 2.75
time (sec) N/A 0.081 0.105 0.056 1.149 2.104 0. 1.191
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.08 115.857 1.718 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 33 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 180.034 2.361 0. 0. 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 356 329 0 0 2128 0 0
normalized size 1 1. 0.92 0. 0. 5.98 0. 0.
time (sec) N/A 0.483 0.149 0.259 0. 2.475 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 244 0 0 1504 0 0
normalized size 1 1. 0.92 0. 0. 5.7 0. 0.
time (sec) N/A 0.411 0.146 0.204 0. 2.311 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 157 412 0 964 0 0
normalized size 1 1. 0.92 2.42 0. 5.67 0. 0.
time (sec) N/A 0.234 0.035 0.077 0. 2.162 0. 0.
Problem 292 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 18 18 18 19 24 104 41 45
normalized size 1 1. 1. 1.06 1.33 5.78 2.28 2.5
time (sec) N/A 0.027 0.007 0.002 1.157 2.043 1.097 1.161
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 12.865 0.197 0. 0. 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 527 527 933 0 0 4691 0 0
normalized size 1 1. 1.77 0. 0. 8.9 0. 0.
time (sec) N/A 0.908 3.284 0.269 0. 3.064 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 389 447 0 0 3163 0 0
normalized size 1 1. 1.15 0. 0. 8.13 0. 0.
time (sec) N/A 0.785 2.919 0.23 0. 2.75 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 258 901 0 1872 0 0
normalized size 1 1. 1.02 3.58 0. 7.43 0. 0.
time (sec) N/A 0.443 1.958 0.089 0. 2.325 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 492 174 0 684 0 157
normalized size 1 1. 7.24 2.56 0. 10.06 0. 2.31
time (sec) N/A 0.117 2.086 0.039 0. 2.166 0. 1.188
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 25.094 0.111 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 642 642 10263 0 0 9852 0 0
normalized size 1 1. 15.99 0. 0. 15.35 0. 0.
time (sec) N/A 0.785 23.902 0.28 0. 3.065 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 477 477 3021 0 0 6356 0 0
normalized size 1 1. 6.33 0. 0. 13.32 0. 0.
time (sec) N/A 0.642 17.629 0.234 0. 2.647 0. 0.
Problem 301 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 298 298 251 975 0 3507 0 0
normalized size 1 1. 0.84 3.27 0. 11.77 0. 0.
time (sec) N/A 0.358 1.366 0.11 0. 2.369 0. 0.
Problem 302 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 59 59 53 291 171 848 0 128
normalized size 1 1. 0.9 4.93 2.9 14.37 0. 2.17
time (sec) N/A 0.069 0.051 0.043 1.16 2.271 0. 1.163
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 81.998 0.234 0. 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 786 786 10644 0 0 4177 0 0
normalized size 1 1. 13.54 0. 0. 5.31 0. 0.
time (sec) N/A 1.457 28.679 0.351 0. 3.035 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 558 558 1639 0 0 2745 0 0
normalized size 1 1. 2.94 0. 0. 4.92 0. 0.
time (sec) N/A 1.034 21.549 0.267 0. 2.617 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 334 334 439 954 0 1547 0 0
normalized size 1 1. 1.31 2.86 0. 4.63 0. 0.
time (sec) N/A 0.596 2.733 0.128 0. 2.419 0. 0.
Problem 307 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 69 69 114 100 128 247 0 171
normalized size 1 1. 1.65 1.45 1.86 3.58 0. 2.48
time (sec) N/A 0.07 0.096 0.004 1.67 2.156 0. 1.149
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 18.473 0.074 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 780 780 1143 0 0 14519 0 0
normalized size 1 1. 1.47 0. 0. 18.61 0. 0.
time (sec) N/A 1.688 13.884 0.705 0. 4.216 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 548 548 905 0 0 8370 0 0
normalized size 1 1. 1.65 0. 0. 15.27 0. 0.
time (sec) N/A 1.295 8.36 0.539 0. 3.29 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 284 1928 0 3164 0 0
normalized size 1 1. 0.96 6.54 0. 10.73 0. 0.
time (sec) N/A 0.717 3.162 0.169 0. 2.48 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 104 90 0 884 0 165
normalized size 1 1. 1.35 1.17 0. 11.48 0. 2.14
time (sec) N/A 0.1 0.173 0.003 0. 2.158 0. 1.234
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 68.394 0.567 0. 0. 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 928 928 3368 0 0 24035 0 0
normalized size 1 1. 3.63 0. 0. 25.9 0. 0.
time (sec) N/A 1.772 31.523 0.477 0. 5.246 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 560 560 588 2051 0 11385 0 0
normalized size 1 1. 1.05 3.66 0. 20.33 0. 0.
time (sec) N/A 0.938 7.076 0.176 0. 3.515 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 104 468 292 2215 0 400
normalized size 1 1. 0.87 3.93 2.45 18.61 0. 3.36
time (sec) N/A 0.144 0.188 0.003 1.963 2.437 0. 1.367
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 133.342 1.058 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 11.348 0.072 0. 0. 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 8.58 0.115 0. 0. 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 5.523 0.068 0. 0. 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 78 164 0 1015 0 0
normalized size 1 1. 1.05 2.22 0. 13.72 0. 0.
time (sec) N/A 0.073 0.503 0.214 0. 2.118 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 175 491 0 3195 0 0
normalized size 1 1. 0.75 2.1 0. 13.65 0. 0.
time (sec) N/A 0.44 1.378 0.19 0. 2.401 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 368 0 0 5462 0 0
normalized size 1 1. 1.06 0. 0. 15.7 0. 0.
time (sec) N/A 0.74 2.567 0.32 0. 2.787 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 78 164 0 1015 0 0
normalized size 1 1. 1.05 2.22 0. 13.72 0. 0.
time (sec) N/A 0.07 0.396 0. 0. 2.609 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 175 491 0 3195 0 0
normalized size 1 1. 0.75 2.1 0. 13.65 0. 0.
time (sec) N/A 0.44 0.551 0.001 0. 2.932 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 368 0 0 5462 0 0
normalized size 1 1. 1.06 0. 0. 15.7 0. 0.
time (sec) N/A 0.731 0.388 0. 0. 2.899 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 112 308 0 2811 0 0
normalized size 1 1. 1. 2.75 0. 25.1 0. 0.
time (sec) N/A 0.098 1.162 0.319 0. 2.314 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 306 306 623 805 0 11416 0 0
normalized size 1 1. 2.04 2.63 0. 37.31 0. 0.
time (sec) N/A 0.52 16.412 0.3 0. 3.171 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 631 631 5753 0 0 24868 0 0
normalized size 1 1. 9.12 0. 0. 39.41 0. 0.
time (sec) N/A 1.095 24.68 0.43 0. 4.171 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 112 308 0 2811 0 0
normalized size 1 1. 1. 2.75 0. 25.1 0. 0.
time (sec) N/A 0.095 0.374 0. 0. 2.219 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 306 623 805 0 11416 0 0
normalized size 1 1. 2.04 2.63 0. 37.31 0. 0.
time (sec) N/A 0.521 7.106 0. 0. 3.044 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 631 631 5753 0 0 24868 0 0
normalized size 1 1. 9.12 0. 0. 39.41 0. 0.
time (sec) N/A 1.087 7.562 0. 0. 4.705 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 448 448 10378 0 0 4582 0 0
normalized size 1 1. 23.17 0. 0. 10.23 0. 0.
time (sec) N/A 0.647 20.959 0.198 0. 2.771 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 330 330 1301 0 0 3051 0 0
normalized size 1 1. 3.94 0. 0. 9.25 0. 0.
time (sec) N/A 0.55 14.217 0.126 0. 2.475 0. 0.
Problem 335 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 212 212 206 483 0 1760 0 0
normalized size 1 1. 0.97 2.28 0. 8.3 0. 0.
time (sec) N/A 0.312 1.057 0.064 0. 2.279 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 33 35 112 354 65 84
normalized size 1 1. 0.97 1.03 3.29 10.41 1.91 2.47
time (sec) N/A 0.057 0.039 0.013 1.075 2.123 1.476 1.149
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 73.846 0.118 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 696 696 2961 0 0 8699 0 0
normalized size 1 1. 4.25 0. 0. 12.5 0. 0.
time (sec) N/A 1.13 14.694 0.191 0. 3.104 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 510 510 2170 0 0 5658 0 0
normalized size 1 1. 4.25 0. 0. 11.09 0. 0.
time (sec) N/A 0.962 10.612 0.145 0. 2.716 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 327 327 1549 1012 0 3200 0 0
normalized size 1 1. 4.74 3.09 0. 9.79 0. 0.
time (sec) N/A 0.55 4.619 0.082 0. 2.382 0. 0.
Problem 341 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 95 109 260 0 1150 0 223
normalized size 1 1. 1.15 2.74 0. 12.11 0. 2.35
time (sec) N/A 0.181 0.428 0.035 0. 2.279 0. 1.152
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 180.001 0.109 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 864 864 7460 0 0 17256 0 0
normalized size 1 1. 8.63 0. 0. 19.97 0. 0.
time (sec) N/A 1.117 51.077 0.24 0. 3.589 0. 0.
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 636 636 3509 0 0 10886 0 0
normalized size 1 1. 5.52 0. 0. 17.12 0. 0.
time (sec) N/A 0.875 16.722 0.191 0. 3.049 0. 0.
Problem 345 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 400 400 551 1102 0 5828 0 0
normalized size 1 1. 1.38 2.76 0. 14.57 0. 0.
time (sec) N/A 0.485 3.435 0.099 0. 2.569 0. 0.
Problem 346 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 85 85 75 428 247 1613 0 215
normalized size 1 1. 0.88 5.04 2.91 18.98 0. 2.53
time (sec) N/A 0.122 0.164 0.039 1.067 2.207 0. 1.152
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 180.001 0.155 0. 0. 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1021 1021 2333 0 0 4177 0 0
normalized size 1 1. 2.29 0. 0. 4.09 0. 0.
time (sec) N/A 1.33 25.527 0.353 0. 3.12 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 716 716 1640 0 0 2743 0 0
normalized size 1 1. 2.29 0. 0. 3.83 0. 0.
time (sec) N/A 1.067 19.14 0.285 0. 2.701 0. 0.
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 421 421 438 1287 0 1544 0 0
normalized size 1 1. 1.04 3.06 0. 3.67 0. 0.
time (sec) N/A 0.597 2.631 0.154 0. 2.467 0. 0.
Problem 351 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 69 69 51 113 128 247 0 115
normalized size 1 1. 0.74 1.64 1.86 3.58 0. 1.67
time (sec) N/A 0.077 0.077 0.002 1.605 2.139 0. 1.446
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 16.827 0.244 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 917 917 1143 0 0 14924 0 0
normalized size 1 1. 1.25 0. 0. 16.27 0. 0.
time (sec) N/A 1.712 13.295 0.728 0. 4.408 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 648 648 906 0 0 8627 0 0
normalized size 1 1. 1.4 0. 0. 13.31 0. 0.
time (sec) N/A 1.321 8.188 0.931 0. 3.445 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 285 1858 0 3272 0 0
normalized size 1 1. 0.85 5.55 0. 9.77 0. 0.
time (sec) N/A 0.663 3.106 0.168 0. 2.509 0. 0.
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 104 100 0 884 0 158
normalized size 1 1. 1.33 1.28 0. 11.33 0. 2.03
time (sec) N/A 0.112 0.193 0.001 0. 2.157 0. 1.277
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 60.499 0.559 0. 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1176 1176 3390 0 0 24520 0 0
normalized size 1 1. 2.88 0. 0. 20.85 0. 0.
time (sec) N/A 1.696 31.477 0.454 0. 5.548 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 711 711 587 2074 0 11628 0 0
normalized size 1 1. 0.83 2.92 0. 16.35 0. 0.
time (sec) N/A 0.993 8.545 0.19 0. 3.697 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 105 474 294 2240 0 304
normalized size 1 1. 0.86 3.89 2.41 18.36 0. 2.49
time (sec) N/A 0.199 0.208 0.003 1.588 2.469 0. 1.359
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 142.055 1.159 0. 0. 0. 0.
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 606 606 2872 0 0 8556 0 0
normalized size 1 1. 4.74 0. 0. 14.12 0. 0.
time (sec) N/A 0.879 28.481 0.216 0. 2.986 0. 0.
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 449 449 1496 0 0 5513 0 0
normalized size 1 1. 3.33 0. 0. 12.28 0. 0.
time (sec) N/A 0.717 11.766 0.302 0. 2.646 0. 0.
Problem 364 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 278 278 423 565 0 3054 0 0
normalized size 1 1. 1.52 2.03 0. 10.99 0. 0.
time (sec) N/A 0.418 1.087 0.116 0. 2.387 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 54 161 784 87 123
normalized size 1 1. 0.89 0.98 2.93 14.25 1.58 2.24
time (sec) N/A 0.081 0.071 0.017 1.051 2.211 3.597 1.299
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 180.002 0.26 0. 0. 0. 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 897 897 1667 0 0 15351 0 0
normalized size 1 1. 1.86 0. 0. 17.11 0. 0.
time (sec) N/A 1.473 7.795 0.217 0. 3.591 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 649 649 966 0 0 9708 0 0
normalized size 1 1. 1.49 0. 0. 14.96 0. 0.
time (sec) N/A 1.202 4.989 0.228 0. 3.493 0. 0.
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 403 403 676 1128 0 5268 0 0
normalized size 1 1. 1.68 2.8 0. 13.07 0. 0.
time (sec) N/A 0.69 3.058 0.106 0. 2.809 0. 0.
Problem 370 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 141 141 123 398 0 1882 0 309
normalized size 1 1. 0.87 2.82 0. 13.35 0. 2.19
time (sec) N/A 0.498 0.392 0.037 0. 2.138 0. 1.169
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 180.001 0.135 0. 0. 0. 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1123 1123 8734 0 0 26953 0 0
normalized size 1 1. 7.78 0. 0. 24. 0. 0.
time (sec) N/A 1.524 42.185 0.273 0. 4.358 0. 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 819 819 5198 0 0 16764 0 0
normalized size 1 1. 6.35 0. 0. 20.47 0. 0.
time (sec) N/A 1.171 19.325 0.243 0. 3.447 0. 0.
Problem 374 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 499 499 853 1217 0 8818 0 0
normalized size 1 1. 1.71 2.44 0. 17.67 0. 0.
time (sec) N/A 0.675 3.21 0.118 0. 2.758 0. 0.
Problem 375 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 113 113 98 614 316 2631 0 298
normalized size 1 1. 0.87 5.43 2.8 23.28 0. 2.64
time (sec) N/A 0.163 0.302 0.046 1.05 2.238 0. 1.202
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 180.001 0.194 0. 0. 0. 0.
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1218 1218 3387 0 0 4721 0 0
normalized size 1 1. 2.78 0. 0. 3.88 0. 0.
time (sec) N/A 1.694 26.838 0.652 0. 3.275 0. 0.
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 861 861 1759 0 0 3077 0 0
normalized size 1 1. 2.04 0. 0. 3.57 0. 0.
time (sec) N/A 1.366 19.743 0.49 0. 2.841 0. 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 516 516 438 3882 0 1767 0 0
normalized size 1 1. 0.85 7.52 0. 3.42 0. 0.
time (sec) N/A 0.776 2.875 0.225 0. 2.503 0. 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 78 153 149 284 0 128
normalized size 1 1. 1.05 2.07 2.01 3.84 0. 1.73
time (sec) N/A 0.16 0.086 0.001 1.628 2.309 0. 1.524
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 180.001 0.421 0. 0. 0. 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1118 1118 1147 0 0 14864 0 0
normalized size 1 1. 1.03 0. 0. 13.3 0. 0.
time (sec) N/A 1.98 13.669 0.732 0. 4.223 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 772 772 910 0 0 8585 0 0
normalized size 1 1. 1.18 0. 0. 11.12 0. 0.
time (sec) N/A 1.533 8.489 0.576 0. 3.41 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 284 1928 0 3274 0 0
normalized size 1 1. 0.74 5.01 0. 8.5 0. 0.
time (sec) N/A 0.758 3.052 0.162 0. 2.585 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 106 103 0 883 0 163
normalized size 1 1. 1.18 1.14 0. 9.81 0. 1.81
time (sec) N/A 0.106 0.196 0.001 0. 2.124 0. 1.378
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 180.009 0.487 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1256 1256 3390 0 0 24496 0 0
normalized size 1 1. 2.7 0. 0. 19.5 0. 0.
time (sec) N/A 1.968 31.353 0.448 0. 5.43 0. 0.
Problem 388 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 760 760 588 2068 0 11621 0 0
normalized size 1 1. 0.77 2.72 0. 15.29 0. 0.
time (sec) N/A 1.148 9.5 0.174 0. 3.666 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 130 475 296 2241 0 305
normalized size 1 1. 1.07 3.93 2.45 18.52 0. 2.52
time (sec) N/A 0.229 0.327 0.003 1.771 2.417 0. 1.261
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 180.001 1.098 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 792 792 7460 0 0 14880 0 0
normalized size 1 1. 9.42 0. 0. 18.79 0. 0.
time (sec) N/A 1.197 29.333 0.268 0. 3.389 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 578 578 3510 0 0 9353 0 0
normalized size 1 1. 6.07 0. 0. 16.18 0. 0.
time (sec) N/A 0.928 14.951 0.208 0. 2.858 0. 0.
Problem 393 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 348 348 447 671 0 5007 0 0
normalized size 1 1. 1.28 1.93 0. 14.39 0. 0.
time (sec) N/A 0.526 1.73 0.1 0. 2.532 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 66 73 231 1484 105 171
normalized size 1 1. 0.87 0.96 3.04 19.53 1.38 2.25
time (sec) N/A 0.097 0.154 0.016 1.122 2.497 2.837 1.257
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 180.003 0.162 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1038 1038 7520 0 0 22876 0 0
normalized size 1 1. 7.24 0. 0. 22.04 0. 0.
time (sec) N/A 1.827 29.101 0.238 0. 4.206 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 755 755 5115 0 0 14272 0 0
normalized size 1 1. 6.77 0. 0. 18.9 0. 0.
time (sec) N/A 1.514 19.522 0.198 0. 3.298 0. 0.
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 474 474 2915 1213 0 7611 0 0
normalized size 1 1. 6.15 2.56 0. 16.06 0. 0.
time (sec) N/A 0.865 11.889 0.106 0. 2.798 0. 0.
Problem 399 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 184 184 153 624 0 2803 0 379
normalized size 1 1. 0.83 3.39 0. 15.23 0. 2.06
time (sec) N/A 0.793 1.989 0.049 0. 2.295 0. 1.203
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.127 180.001 0.123 0. 0. 0. 0.
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1443 1443 5157 0 0 0 0 0
normalized size 1 1. 3.57 0. 0. 0. 0. 0.
time (sec) N/A 2.187 21.873 0.23 0. 0. 0. 0.
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1049 1049 3179 0 0 24563 0 0
normalized size 1 1. 3.03 0. 0. 23.42 0. 0.
time (sec) N/A 1.623 14.96 0.211 0. 4.609 0. 0.
Problem 403 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 641 641 958 1363 0 12709 0 0
normalized size 1 1. 1.49 2.13 0. 19.83 0. 0.
time (sec) N/A 0.944 4.34 0.115 0. 4.196 0. 0.
Problem 404 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 141 141 123 804 405 4018 0 383
normalized size 1 1. 0.87 5.7 2.87 28.5 0. 2.72
time (sec) N/A 0.223 0.388 0.052 1.318 2.587 0. 1.198
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.127 180.002 0.223 0. 0. 0. 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1519 1519 2861 0 0 10368 0 0
normalized size 1 1. 1.88 0. 0. 6.83 0. 0.
time (sec) N/A 2.154 26.213 1.115 0. 4.307 0. 0.
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1067 1067 3418 0 0 6611 0 0
normalized size 1 1. 3.2 0. 0. 6.2 0. 0.
time (sec) N/A 1.691 19.677 0.853 0. 3.659 0. 0.
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 631 631 481 4066 0 3537 0 0
normalized size 1 1. 0.76 6.44 0. 5.61 0. 0.
time (sec) N/A 0.957 4.787 0.309 0. 3.115 0. 0.
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 91 196 198 733 0 169
normalized size 1 1. 1.02 2.2 2.22 8.24 0. 1.9
time (sec) N/A 0.196 0.176 0.06 1.566 2.723 0. 1.414
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 180.002 0.934 0. 0. 0. 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1294 1294 1111 0 0 16386 0 0
normalized size 1 1. 0.86 0. 0. 12.66 0. 0.
time (sec) N/A 2.455 13.038 0.785 0. 5.391 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 904 904 937 0 0 9671 0 0
normalized size 1 1. 1.04 0. 0. 10.7 0. 0.
time (sec) N/A 1.821 8.541 0.651 0. 4.138 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 454 454 317 1897 0 3753 0 0
normalized size 1 1. 0.7 4.18 0. 8.27 0. 0.
time (sec) N/A 0.892 4.543 0.214 0. 3.014 0. 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 96 158 0 1126 0 182
normalized size 1 1. 0.79 1.31 0. 9.31 0. 1.5
time (sec) N/A 0.209 0.502 0.003 0. 2.539 0. 1.432
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 180.003 0.753 0. 0. 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1479 1479 3368 0 0 24035 0 0
normalized size 1 1. 2.28 0. 0. 16.25 0. 0.
time (sec) N/A 2.453 30.882 0.447 0. 5.787 0. 0.
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 894 894 588 2284 0 11386 0 0
normalized size 1 1. 0.66 2.55 0. 12.74 0. 0.
time (sec) N/A 1.415 7.864 0.202 0. 4.002 0. 0.
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 152 472 293 2217 0 301
normalized size 1 1. 1.27 3.93 2.44 18.48 0. 2.51
time (sec) N/A 0.201 0.402 0.002 1.675 2.906 0. 1.449
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 180.001 0.905 0. 0. 0. 0.
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 451 451 1924 0 0 2996 0 0
normalized size 1 1. 4.27 0. 0. 6.64 0. 0.
time (sec) N/A 0.77 19.046 0.495 0. 2.858 0. 0.
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 1296 0 0 2053 0 0
normalized size 1 1. 3.99 0. 0. 6.32 0. 0.
time (sec) N/A 0.654 14.156 0.39 0. 2.617 0. 0.
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 236 451 0 1243 0 0
normalized size 1 1. 1.15 2.2 0. 6.06 0. 0.
time (sec) N/A 0.38 0.946 0.134 0. 2.486 0. 0.
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 35 101 170 0 85
normalized size 1 1. 0.82 1.03 2.97 5. 0. 2.5
time (sec) N/A 0.047 0.021 0.001 1.083 2.392 0. 1.324
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 29.08 0.379 0. 0. 0. 0.
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 638 638 802 0 0 3588 0 0
normalized size 1 1. 1.26 0. 0. 5.62 0. 0.
time (sec) N/A 1.275 2.476 0.734 0. 3.418 0. 0.
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 462 462 489 0 0 2483 0 0
normalized size 1 1. 1.06 0. 0. 5.37 0. 0.
time (sec) N/A 1.04 1.871 0.594 0. 2.734 0. 0.
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 286 339 970 0 1544 0 0
normalized size 1 1. 1.19 3.39 0. 5.4 0. 0.
time (sec) N/A 0.579 1.835 0.187 0. 2.725 0. 0.
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 80 150 0 559 0 188
normalized size 1 1. 1.13 2.11 0. 7.87 0. 2.65
time (sec) N/A 0.213 0.146 0.002 0. 2.581 0. 2.397
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.059 57.994 0.826 0. 0. 0. 0.
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 656 656 2574 0 0 7715 0 0
normalized size 1 1. 3.92 0. 0. 11.76 0. 0.
time (sec) N/A 1.23 18.452 1.22 0. 3.658 0. 0.
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 486 486 1521 0 0 5030 0 0
normalized size 1 1. 3.13 0. 0. 10.35 0. 0.
time (sec) N/A 1.025 14.301 1.063 0. 2.862 0. 0.
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 296 932 0 2799 0 0
normalized size 1 1. 0.92 2.89 0. 8.69 0. 0.
time (sec) N/A 0.592 1.925 0.255 0. 2.998 0. 0.
Problem 433 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 57 57 48 178 176 533 0 146
normalized size 1 1. 0.84 3.12 3.09 9.35 0. 2.56
time (sec) N/A 0.128 0.082 0.078 1.088 3.2 0. 1.548
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 180.002 1.079 0. 0. 0. 0.
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1049 1049 3000 0 0 5839 0 0
normalized size 1 1. 2.86 0. 0. 5.57 0. 0.
time (sec) N/A 1.341 32.847 0.756 0. 3.698 0. 0.
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 734 734 3268 0 0 3794 0 0
normalized size 1 1. 4.45 0. 0. 5.17 0. 0.
time (sec) N/A 1.097 33.66 0.58 0. 3.056 0. 0.
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 439 439 1540 1065 0 2091 0 0
normalized size 1 1. 3.51 2.43 0. 4.76 0. 0.
time (sec) N/A 0.637 2.69 0.171 0. 2.522 0. 0.
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 92 123 186 350 0 211
normalized size 1 1. 1.02 1.37 2.07 3.89 0. 2.34
time (sec) N/A 0.17 0.134 0.003 1.726 2.695 0. 1.272
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.063 27.58 0.098 0. 0. 0. 0.
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1164 1164 1467 0 0 21639 0 0
normalized size 1 1. 1.26 0. 0. 18.59 0. 0.
time (sec) N/A 2.199 16.941 1.674 0. 5.446 0. 0.
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 795 795 1245 0 0 12713 0 0
normalized size 1 1. 1.57 0. 0. 15.99 0. 0.
time (sec) N/A 1.614 11.537 2.283 0. 3.992 0. 0.
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 442 442 459 1815 0 5233 0 0
normalized size 1 1. 1.04 4.11 0. 11.84 0. 0.
time (sec) N/A 0.806 7.246 0.279 0. 2.639 0. 0.
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 171 136 0 1455 0 209
normalized size 1 1. 1.51 1.2 0. 12.88 0. 1.85
time (sec) N/A 0.26 0.265 0.001 0. 3.117 0. 1.219
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 180.001 1.864 0. 0. 0. 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1185 1185 4072 0 0 0 0 0
normalized size 1 1. 3.44 0. 0. 0. 0. 0.
time (sec) N/A 2.225 36.451 1.372 0. 0. 0. 0.
Problem 446 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 746 746 886 2580 0 17816 0 0
normalized size 1 1. 1.19 3.46 0. 23.88 0. 0.
time (sec) N/A 1.059 10.841 0.244 0. 4.229 0. 0.
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 196 530 358 3066 0 485
normalized size 1 1. 1.22 3.31 2.24 19.16 0. 3.03
time (sec) N/A 0.271 0.793 0.003 1.814 4.251 0. 1.766
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-1) F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 174.592 3.421 0. 0. 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 601 601 5638 0 0 9829 0 0
normalized size 1 1. 9.38 0. 0. 16.35 0. 0.
time (sec) N/A 1.003 48.702 0.909 0. 3.623 0. 0.
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 419 419 1595 0 0 6053 0 0
normalized size 1 1. 3.81 0. 0. 14.45 0. 0.
time (sec) N/A 0.818 20.236 0.668 0. 2.939 0. 0.
Problem 451 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 243 243 416 528 0 3152 0 0
normalized size 1 1. 1.71 2.17 0. 12.97 0. 0.
time (sec) N/A 0.464 1.894 0.138 0. 2.409 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 50 50 50 35 149 554 0 132
normalized size 1 1. 1. 0.7 2.98 11.08 0. 2.64
time (sec) N/A 0.075 0.041 0.001 1.179 2.146 0. 1.337
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 34 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 180.001 0.916 0. 0. 0. 0.
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 721 721 1350 0 0 10496 0 0
normalized size 1 1. 1.87 0. 0. 14.56 0. 0.
time (sec) N/A 1.636 8.687 0.827 0. 3.238 0. 0.
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) C F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 517 517 792 0 0 6512 0 0
normalized size 1 1. 1.53 0. 0. 12.6 0. 0.
time (sec) N/A 1.296 8.037 0.713 0. 2.817 0. 0.
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 364 1017 0 3430 0 0
normalized size 1 1. 1.24 3.46 0. 11.67 0. 0.
time (sec) N/A 0.688 3.669 0.213 0. 2.356 0. 0.
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 98 147 0 975 0 201
normalized size 1 1. 1.27 1.91 0. 12.66 0. 2.61
time (sec) N/A 0.266 0.441 0.003 0. 2.255 0. 1.84
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.073 180. 0.999 0. 0. 0. 0.
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 718 718 10534 0 0 13009 0 0
normalized size 1 1. 14.67 0. 0. 18.12 0. 0.
time (sec) N/A 1.645 13.512 0.986 0. 3.424 0. 0.
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 518 518 1720 0 0 8101 0 0
normalized size 1 1. 3.32 0. 0. 15.64 0. 0.
time (sec) N/A 1.287 14.832 0.81 0. 2.945 0. 0.
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 324 324 313 938 0 4255 0 0
normalized size 1 1. 0.97 2.9 0. 13.13 0. 0.
time (sec) N/A 0.743 2.585 0.23 0. 2.478 0. 0.
Problem 462 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 59 59 52 172 177 751 0 153
normalized size 1 1. 0.88 2.92 3. 12.73 0. 2.59
time (sec) N/A 0.123 0.086 0.001 1.226 2.292 0. 1.388
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 180.002 0.944 0. 0. 0. 0.
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1428 1428 7234 0 0 21464 0 0
normalized size 1 1. 5.07 0. 0. 15.03 0. 0.
time (sec) N/A 2.284 14.016 1.48 0. 5.387 0. 0.
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 982 982 2107 0 0 12925 0 0
normalized size 1 1. 2.15 0. 0. 13.16 0. 0.
time (sec) N/A 1.668 13.796 1.095 0. 4.04 0. 0.
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 591 591 535 1529 0 6273 0 0
normalized size 1 1. 0.91 2.59 0. 10.61 0. 0.
time (sec) N/A 0.9 6.528 0.315 0. 3.039 0. 0.
Problem 467 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 104 104 160 159 234 1098 0 284
normalized size 1 1. 1.54 1.53 2.25 10.56 0. 2.73
time (sec) N/A 0.17 0.594 0.003 1.743 2.819 0. 1.319
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 76.395 1.513 0. 0. 0. 0.
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 914 914 2677 0 0 23058 0 0
normalized size 1 1. 2.93 0. 0. 25.23 0. 0.
time (sec) N/A 2.037 28.63 1.658 0. 5.03 0. 0.
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 499 499 1862 1771 0 9453 0 0
normalized size 1 1. 3.73 3.55 0. 18.94 0. 0.
time (sec) N/A 0.978 8.95 0.268 0. 3.129 0. 0.
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 135 174 0 2483 0 262
normalized size 1 1. 0.94 1.21 0. 17.24 0. 1.82
time (sec) N/A 0.311 2.645 0.003 0. 3.115 0. 1.724
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.129 154.862 1.777 0. 0. 0. 0.
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 978 978 1337 3280 0 0 0 0
normalized size 1 1. 1.37 3.35 0. 0. 0. 0.
time (sec) N/A 1.411 10.954 0.273 0. 0. 0. 0.
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 227 478 473 5906 0 637
normalized size 1 1. 1.26 2.66 2.63 32.81 0. 3.54
time (sec) N/A 0.259 0.93 0.004 1.885 4.706 0. 1.367
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A F(-1) F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.135 180.002 3.345 0. 0. 0. 0.
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 752 752 6441 0 0 24935 0 0
normalized size 1 1. 8.57 0. 0. 33.16 0. 0.
time (sec) N/A 1.353 65.606 0.936 0. 4.926 0. 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 502 502 1816 0 0 14549 0 0
normalized size 1 1. 3.62 0. 0. 28.98 0. 0.
time (sec) N/A 1.004 30.406 0.615 0. 3.814 0. 0.
Problem 478 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 298 298 376 649 0 7004 0 0
normalized size 1 1. 1.26 2.18 0. 23.5 0. 0.
time (sec) N/A 0.57 6.872 0.143 0. 2.604 0. 0.
Problem 479 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 72 72 60 73 217 1370 0 181
normalized size 1 1. 0.83 1.01 3.01 19.03 0. 2.51
time (sec) N/A 0.111 0.101 0.001 1.269 2.193 0. 1.436
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.092 180.001 1.971 0. 0. 0. 0.
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F(-2) C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1038 1038 2384 0 0 29336 0 0
normalized size 1 1. 2.3 0. 0. 28.26 0. 0.
time (sec) N/A 2.241 43.631 0.889 0. 4.754 0. 0.
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) C F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 714 714 1529 0 0 17416 0 0
normalized size 1 1. 2.14 0. 0. 24.39 0. 0.
time (sec) N/A 1.728 26.417 0.684 0. 3.626 0. 0.
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 413 413 734 1284 0 8606 0 0
normalized size 1 1. 1.78 3.11 0. 20.84 0. 0.
time (sec) N/A 0.929 8.171 0.233 0. 2.719 0. 0.
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 145 162 0 2272 0 298
normalized size 1 1. 1.31 1.46 0. 20.47 0. 2.68
time (sec) N/A 0.569 1.281 0.003 0. 2.463 0. 1.993
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 180.008 2.181 0. 0. 0. 0.
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 972 972 11848 0 0 0 0 0
normalized size 1 1. 12.19 0. 0. 0. 0. 0.
time (sec) N/A 2.203 73.768 0.872 0. 0. 0. 0.
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 689 689 2277 0 0 18048 0 0
normalized size 1 1. 3.3 0. 0. 26.19 0. 0.
time (sec) N/A 1.708 42.209 0.671 0. 2.996 0. 0.
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 435 435 455 1098 0 8753 0 0
normalized size 1 1. 1.05 2.52 0. 20.12 0. 0.
time (sec) N/A 0.976 4.727 0.171 0. 2.389 0. 0.
Problem 489 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 80 80 64 194 234 1554 0 224
normalized size 1 1. 0.8 2.42 2.92 19.42 0. 2.8
time (sec) N/A 0.105 0.118 0.001 1.294 1.848 0. 1.417
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 180.001 0.499 0. 0. 0. 0.
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1795 1795 9045 0 0 0 0 0
normalized size 1 1. 5.04 0. 0. 0. 0. 0.
time (sec) N/A 3.272 87.99 2.194 0. 0. 0. 0.
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F C F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1219 1219 2784 0 0 29429 0 0
normalized size 1 1. 2.28 0. 0. 24.14 0. 0.
time (sec) N/A 2.222 42.449 1.398 0. 6.108 0. 0.
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 762 762 913 1478 0 13535 0 0
normalized size 1 1. 1.2 1.94 0. 17.76 0. 0.
time (sec) N/A 1.138 7.784 0.204 0. 3.736 0. 0.
Problem 494 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 130 130 164 219 319 2503 0 370
normalized size 1 1. 1.26 1.68 2.45 19.25 0. 2.85
time (sec) N/A 0.235 0.364 0.003 1.691 3.375 0. 1.346
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-1) F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 158.407 3.241 0. 0. 0. 0.
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-2) F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1245 1245 2574 0 0 0 0 0
normalized size 1 1. 2.07 0. 0. 0. 0. 0.
time (sec) N/A 3.437 27.558 1.557 0. 0. 0. 0.
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 699 699 863 2767 0 24195 0 0
normalized size 1 1. 1.23 3.96 0. 34.61 0. 0.
time (sec) N/A 1.356 8.417 0.276 0. 4.714 0. 0.
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 185 233 0 5921 0 317
normalized size 1 1. 0.9 1.13 0. 28.74 0. 1.54
time (sec) N/A 0.42 2.471 0.002 0. 4.718 0. 1.77
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A A F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.134 180.001 3.536 0. 0. 0. 0.
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F(-1) F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1122 1122 2868 3563 0 0 0 0
normalized size 1 1. 2.56 3.18 0. 0. 0. 0.
time (sec) N/A 1.807 10.2 0.289 0. 0. 0. 0.
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 237 539 564 7170 0 652
normalized size 1 1. 1.12 2.55 2.67 33.98 0. 3.09
time (sec) N/A 0.367 0.808 0.003 1.764 7.085 0. 1.775
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A A F(-1) F(-1) F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.134 180.001 3.319 0. 0. 0. 0.

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [496] had the largest ratio of [ 0.9167 ]

Table 2.1Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 5 2 1. 14 0.143
2 A 4 2 1. 14 0.143
3 A 3 2 1. 14 0.143
4 A 2 2 1. 12 0.167
5 A 3 3 1. 14 0.214
6 A 4 4 1. 14 0.286
7 A 5 4 1. 14 0.286
8 A 6 4 1. 16 0.25
9 A 4 3 1. 16 0.188
10 A 4 4 1. 16 0.25
11 A 2 1 1. 14 0.071
12 A 5 4 1. 16 0.25
13 A 5 5 1. 16 0.312
14 A 7 6 1. 16 0.375
15 A 7 7 1. 16 0.438
16 A 12 4 1. 16 0.25
17 A 8 4 1. 16 0.25
18 A 6 4 1. 16 0.25
19 A 3 3 1. 14 0.214
20 A 8 4 1. 16 0.25
21 A 8 4 1. 16 0.25
22 A 12 5 1. 16 0.312
23 A 9 5 1. 14 0.357
24 A 7 4 1. 14 0.286
25 A 5 3 1. 12 0.25
26 A 0 0 0. 0 0.
27 A 0 0 0. 0 0.
28 A 6 6 1. 16 0.375
29 A 5 5 1. 16 0.312
30 A 2 2 1. 14 0.143
31 A 0 0 0. 0 0.
32 A 0 0 0. 0 0.
33 A 15 8 1. 16 0.5
34 A 9 6 1. 16 0.375
35 A 6 4 1. 14 0.286
36 A 0 0 0. 0 0.
37 A 0 0 0. 0 0.
38 A 8 5 1. 16 0.312
39 A 7 5 1. 16 0.312
40 A 6 5 1. 16 0.312
41 A 5 4 1. 16 0.25
42 A 6 5 1. 16 0.312
43 A 7 5 1. 16 0.312
44 A 8 5 1. 16 0.312
45 A 10 8 1. 18 0.444
46 A 9 7 1. 18 0.389
47 A 8 6 1. 18 0.333
48 A 7 5 1. 18 0.278
49 A 7 6 1. 18 0.333
50 A 9 7 1. 18 0.389
51 A 9 8 1. 18 0.444
52 A 11 7 1. 18 0.389
53 A 23 7 1. 18 0.389
54 A 20 7 1. 18 0.389
55 A 14 6 1. 18 0.333
56 A 12 5 1. 18 0.278
57 A 12 5 1. 18 0.278
58 A 18 6 1. 18 0.333
59 A 19 7 1. 18 0.389
60 A 7 5 1. 12 0.417
61 A 6 5 1. 12 0.417
62 A 5 4 1. 12 0.333
63 A 6 5 1. 12 0.417
64 A 7 5 1. 12 0.417
65 A 0 0 0. 0 0.
66 A 0 0 0. 0 0.
67 A 0 0 0. 0 0.
68 A 2 1 1. 18 0.056
69 A 2 1 1. 20 0.05
70 A 3 1 1. 20 0.05
71 A 4 3 1. 22 0.136
72 A 0 0 0. 0 0.
73 A 8 3 1. 16 0.188
74 A 5 3 1. 16 0.188
75 A 3 2 1. 14 0.143
76 A 0 0 0. 0 0.
77 A 0 0 0. 0 0.
78 A 3 2 1. 12 0.167
79 A 3 2 1. 12 0.167
80 A 3 2 1. 12 0.167
81 A 3 2 1. 10 0.2
82 A 3 2 1. 12 0.167
83 A 3 2 1. 12 0.167
84 A 3 2 1. 12 0.167
85 A 5 3 1. 14 0.214
86 A 5 3 1. 14 0.214
87 A 5 3 1. 14 0.214
88 A 5 3 1. 12 0.25
89 A 5 3 1. 14 0.214
90 A 5 3 1. 14 0.214
91 A 5 3 1. 14 0.214
92 A 4 2 1. 20 0.1
93 A 4 2 1. 20 0.1
94 A 5 2 1. 20 0.1
95 A 7 5 1. 24 0.208
96 A 6 3 1. 21 0.143
97 A 5 3 1. 21 0.143
98 A 4 3 1. 19 0.158
99 A 5 4 1. 21 0.19
100 A 6 5 1. 21 0.238
101 A 7 5 1. 21 0.238
102 A 10 6 1. 23 0.261
103 A 9 7 1. 23 0.304
104 A 6 4 1. 21 0.19
105 A 9 5 1. 23 0.217
106 A 9 5 1. 23 0.217
107 A 15 6 1. 23 0.261
108 A 7 7 1. 23 0.304
109 A 6 6 1. 23 0.261
110 A 3 3 1. 21 0.143
111 A 0 0 0. 0 0.
112 A 0 0 0. 0 0.
113 A 10 9 1. 23 0.391
114 A 9 9 1. 23 0.391
115 A 4 4 1. 21 0.19
116 A 0 0 0. 0 0.
117 A 0 0 0. 0 0.
118 A 6 3 1. 21 0.143
119 A 5 3 1. 21 0.143
120 A 4 3 1. 21 0.143
121 A 3 3 1. 19 0.158
122 A 4 4 1. 21 0.19
123 A 5 5 1. 21 0.238
124 A 6 5 1. 21 0.238
125 A 9 5 1. 21 0.238
126 A 7 5 1. 21 0.238
127 A 4 4 1. 19 0.21
128 A 9 5 1. 21 0.238
129 A 9 5 1. 21 0.238
130 A 14 5 1. 21 0.238
131 A 10 5 1. 21 0.238
132 A 5 4 1. 19 0.21
133 A 12 5 1. 21 0.238
134 A 12 5 1. 21 0.238
135 A 21 6 1. 21 0.286
136 A 10 6 1. 21 0.286
137 A 8 5 1. 21 0.238
138 A 6 4 1. 19 0.21
139 A 0 0 0. 0 0.
140 A 0 0 0. 0 0.
141 A 16 9 1. 21 0.429
142 A 10 7 1. 21 0.333
143 A 7 5 1. 19 0.263
144 A 0 0 0. 0 0.
145 A 0 0 0. 0 0.
146 A 23 10 1. 21 0.476
147 A 13 8 1. 21 0.381
148 A 8 5 1. 19 0.263
149 A 0 0 0. 0 0.
150 A 0 0 0. 0 0.
151 A 0 0 0. 0 0.
152 A 12 5 1. 23 0.217
153 A 9 5 1. 23 0.217
154 A 5 3 1. 21 0.143
155 A 0 0 0. 0 0.
156 A 0 0 0. 0 0.
157 A 6 3 1. 18 0.167
158 A 5 3 1. 18 0.167
159 A 4 3 1. 16 0.188
160 A 5 4 1. 18 0.222
161 A 6 5 1. 18 0.278
162 A 7 5 1. 18 0.278
163 A 10 6 1. 20 0.3
164 A 9 7 1. 20 0.35
165 A 6 4 1. 18 0.222
166 A 10 5 1. 20 0.25
167 A 11 7 1. 20 0.35
168 A 14 8 1. 20 0.4
169 A 12 7 1. 20 0.35
170 A 10 6 1. 20 0.3
171 A 8 5 1. 18 0.278
172 A 0 0 0. 0 0.
173 A 0 0 0. 0 0.
174 A 18 10 1. 20 0.5
175 A 11 8 1. 18 0.444
176 A 0 0 0. 0 0.
177 A 0 0 0. 0 0.
178 A 35 11 1. 18 0.611
179 A 0 0 0. 0 0.
180 A 0 0 0. 0 0.
181 A 0 0 0. 0 0.
182 A 18 5 1. 20 0.25
183 A 10 5 1. 20 0.25
184 A 5 3 1. 18 0.167
185 A 0 0 0. 0 0.
186 A 0 0 0. 0 0.
187 A 9 9 1. 29 0.31
188 A 8 8 1. 29 0.276
189 A 5 4 1. 27 0.148
190 A 2 2 1. 22 0.091
191 A 0 0 0. 0 0.
192 A 0 0 0. 0 0.
193 A 14 11 1. 31 0.355
194 A 12 10 1. 31 0.323
195 A 8 6 1. 29 0.207
196 A 4 4 1. 24 0.167
197 A 0 0 0. 0 0.
198 A 0 0 0. 0 0.
199 A 19 13 1. 31 0.419
200 A 17 13 1. 31 0.419
201 A 11 7 1. 29 0.241
202 A 2 2 1. 24 0.083
203 A 0 0 0. 0 0.
204 A 0 0 0. 0 0.
205 A 17 10 1. 29 0.345
206 A 14 11 1. 29 0.379
207 A 9 7 1. 27 0.259
208 A 3 3 1. 22 0.136
209 A 0 0 0. 0 0.
210 A 0 0 0. 0 0.
211 A 24 10 1. 31 0.323
212 A 20 11 1. 31 0.355
213 A 12 7 1. 29 0.241
214 A 5 5 1. 24 0.208
215 A 0 0 0. 0 0.
216 A 0 0 0. 0 0.
217 A 40 13 1. 31 0.419
218 A 30 13 1. 31 0.419
219 A 19 8 1. 29 0.276
220 A 6 6 1. 24 0.25
221 A 0 0 0. 0 0.
222 A 0 0 0. 0 0.
223 A 14 9 1. 26 0.346
224 A 12 8 1. 26 0.308
225 A 10 6 1. 24 0.25
226 A 4 4 1. 19 0.21
227 A 0 0 0. 0 0.
228 A 19 11 1. 28 0.393
229 A 16 10 1. 28 0.357
230 A 13 8 1. 26 0.308
231 A 6 6 1. 21 0.286
232 A 0 0 0. 0 0.
233 A 24 13 1. 28 0.464
234 A 21 13 1. 28 0.464
235 A 16 9 1. 26 0.346
236 A 6 6 1. 21 0.286
237 A 0 0 0. 0 0.
238 A 22 9 1. 26 0.346
239 A 18 8 1. 26 0.308
240 A 14 7 1. 24 0.292
241 A 5 5 1. 19 0.263
242 A 0 0 0. 0 0.
243 A 29 11 1. 28 0.393
244 A 24 12 1. 28 0.429
245 A 17 9 1. 26 0.346
246 A 7 7 1. 21 0.333
247 A 0 0 0. 0 0.
248 A 45 14 1. 28 0.5
249 A 34 14 1. 28 0.5
250 A 24 10 1. 26 0.385
251 A 7 7 1. 21 0.333
252 A 0 0 0. 0 0.
253 A 6 6 1. 29 0.207
254 A 5 5 1. 29 0.172
255 A 4 4 1. 27 0.148
256 A 2 2 1. 22 0.091
257 A 0 0 0. 0 0.
258 A 0 0 0. 0 0.
259 A 6 4 1. 31 0.129
260 A 5 4 1. 31 0.129
261 A 4 3 1. 29 0.103
262 A 2 2 1. 24 0.083
263 A 5 5 1. 31 0.161
264 A 6 6 1. 31 0.194
265 A 10 8 1. 31 0.258
266 A 7 5 1. 31 0.161
267 A 6 6 1. 29 0.207
268 A 2 1 1. 24 0.042
269 A 9 6 1. 31 0.194
270 A 11 7 1. 31 0.226
271 A 22 13 1. 29 0.448
272 A 13 10 1. 29 0.345
273 A 10 8 1. 27 0.296
274 A 4 3 1. 22 0.136
275 A 0 0 0. 0 0.
276 A 0 0 0. 0 0.
277 A 20 12 1. 31 0.387
278 A 16 12 1. 31 0.387
279 A 7 7 1. 29 0.241
280 A 3 3 1. 24 0.125
281 A 0 0 0. 0 0.
282 A 0 0 0. 0 0.
283 A 32 16 1. 31 0.516
284 A 17 12 1. 31 0.387
285 A 11 7 1. 29 0.241
286 A 4 3 1. 24 0.125
287 A 0 0 0. 0 0.
288 A 0 0 0. 0 0.
289 A 11 6 1. 26 0.231
290 A 9 5 1. 26 0.192
291 A 7 4 1. 24 0.167
292 A 2 2 1. 19 0.105
293 A 0 0 0. 0 0.
294 A 18 11 1. 28 0.393
295 A 15 10 1. 28 0.357
296 A 12 8 1. 26 0.308
297 A 5 5 1. 21 0.238
298 A 0 0 0. 0 0.
299 A 21 14 1. 28 0.5
300 A 16 10 1. 28 0.357
301 A 13 10 1. 26 0.385
302 A 3 2 1. 21 0.095
303 A 0 0 0. 0 0.
304 A 29 10 1. 26 0.385
305 A 24 9 1. 26 0.346
306 A 19 8 1. 24 0.333
307 A 6 6 1. 19 0.316
308 A 0 0 0. 0 0.
309 A 29 13 1. 28 0.464
310 A 24 14 1. 28 0.5
311 A 15 11 1. 26 0.423
312 A 5 5 1. 21 0.238
313 A 0 0 0. 0 0.
314 A 39 14 1. 28 0.5
315 A 31 12 1. 26 0.462
316 A 7 6 1. 21 0.286
317 A 0 0 0. 0 0.
318 A 0 0 0. 0 0.
319 A 0 0 0. 0 0.
320 A 0 0 0. 0 0.
321 A 4 4 1. 24 0.167
322 A 9 6 1. 26 0.231
323 A 11 7 1. 26 0.269
324 A 4 4 1. 24 0.167
325 A 9 6 1. 26 0.231
326 A 11 7 1. 26 0.269
327 A 6 6 1. 24 0.25
328 A 12 9 1. 26 0.346
329 A 19 11 1. 26 0.423
330 A 6 6 1. 24 0.25
331 A 12 9 1. 26 0.346
332 A 19 11 1. 26 0.423
333 A 16 9 1. 32 0.281
334 A 13 8 1. 32 0.25
335 A 10 7 1. 30 0.233
336 A 4 3 1. 25 0.12
337 A 0 0 0. 0 0.
338 A 23 14 1. 34 0.412
339 A 20 14 1. 34 0.412
340 A 15 10 1. 32 0.312
341 A 5 5 1. 27 0.185
342 A 0 0 0. 0 0.
343 A 30 16 1. 34 0.471
344 A 23 13 1. 34 0.382
345 A 17 12 1. 32 0.375
346 A 4 3 1. 27 0.111
347 A 0 0 0. 0 0.
348 A 39 11 1. 26 0.423
349 A 32 10 1. 26 0.385
350 A 25 9 1. 24 0.375
351 A 6 5 1. 19 0.263
352 A 0 0 0. 0 0.
353 A 36 14 1. 32 0.438
354 A 30 15 1. 32 0.469
355 A 18 12 1. 30 0.4
356 A 5 5 1. 25 0.2
357 A 0 0 0. 0 0.
358 A 49 15 1. 34 0.441
359 A 38 13 1. 32 0.406
360 A 8 7 1. 27 0.259
361 A 0 0 0. 0 0.
362 A 22 14 1. 34 0.412
363 A 17 10 1. 34 0.294
364 A 14 10 1. 32 0.312
365 A 4 3 1. 27 0.111
366 A 0 0 0. 0 0.
367 A 31 16 1. 36 0.444
368 A 25 16 1. 36 0.444
369 A 19 12 1. 34 0.353
370 A 8 8 1. 29 0.276
371 A 0 0 0. 0 0.
372 A 40 17 1. 36 0.472
373 A 28 14 1. 36 0.389
374 A 22 13 1. 34 0.382
375 A 4 3 1. 29 0.103
376 A 0 0 0. 0 0.
377 A 46 12 1. 32 0.375
378 A 38 11 1. 32 0.344
379 A 30 10 1. 30 0.333
380 A 7 6 1. 25 0.24
381 A 0 0 0. 0 0.
382 A 45 15 1. 28 0.536
383 A 37 16 1. 28 0.571
384 A 21 13 1. 26 0.5
385 A 8 7 1. 21 0.333
386 A 0 0 0. 0 0.
387 A 53 15 1. 34 0.441
388 A 42 13 1. 32 0.406
389 A 8 7 1. 27 0.259
390 A 0 0 0. 0 0.
391 A 30 15 1. 34 0.441
392 A 22 10 1. 34 0.294
393 A 18 11 1. 32 0.344
394 A 4 3 1. 27 0.111
395 A 0 0 0. 0 0.
396 A 38 18 1. 36 0.5
397 A 31 18 1. 36 0.5
398 A 24 14 1. 34 0.412
399 A 9 8 1. 29 0.276
400 A 0 0 0. 0 0.
401 A 55 18 1. 36 0.5
402 A 40 15 1. 36 0.417
403 A 31 14 1. 34 0.412
404 A 4 3 1. 29 0.103
405 A 0 0 0. 0 0.
406 A 61 15 1. 34 0.441
407 A 50 14 1. 34 0.412
408 A 39 13 1. 32 0.406
409 A 7 6 1. 27 0.222
410 A 0 0 0. 0 0.
411 A 53 18 1. 34 0.529
412 A 44 19 1. 34 0.559
413 A 25 15 1. 32 0.469
414 A 9 8 1. 27 0.296
415 A 0 0 0. 0 0.
416 A 71 17 1. 28 0.607
417 A 55 15 1. 26 0.577
418 A 7 6 1. 21 0.286
419 A 0 0 0. 0 0.
420 A 18 8 1. 26 0.308
421 A 15 7 1. 26 0.269
422 A 12 6 1. 24 0.25
423 A 4 4 1. 19 0.21
424 A 0 0 0. 0 0.
425 A 33 14 1. 32 0.438
426 A 27 13 1. 32 0.406
427 A 21 11 1. 30 0.367
428 A 6 6 1. 25 0.24
429 A 0 0 0. 0 0.
430 A 34 17 1. 34 0.5
431 A 26 13 1. 34 0.382
432 A 22 13 1. 32 0.406
433 A 4 3 1. 27 0.111
434 A 0 0 0. 0 0.
435 A 40 13 1. 32 0.406
436 A 33 12 1. 32 0.375
437 A 26 11 1. 30 0.367
438 A 7 6 1. 25 0.24
439 A 0 0 0. 0 0.
440 A 53 22 1. 34 0.647
441 A 44 23 1. 34 0.676
442 A 26 19 1. 32 0.594
443 A 10 9 1. 27 0.333
444 A 0 0 0. 0 0.
445 A 57 23 1. 34 0.676
446 A 43 20 1. 32 0.625
447 A 9 7 1. 27 0.259
448 A 0 0 0. 0 0.
449 A 27 11 1. 32 0.344
450 A 22 12 1. 32 0.375
451 A 15 9 1. 30 0.3
452 A 4 3 1. 25 0.12
453 A 0 0 0. 0 0.
454 A 41 17 1. 28 0.607
455 A 34 18 1. 28 0.643
456 A 25 14 1. 26 0.538
457 A 7 7 1. 21 0.333
458 A 0 0 0. 0 0.
459 A 48 19 1. 34 0.559
460 A 37 17 1. 34 0.5
461 A 28 15 1. 32 0.469
462 A 4 3 1. 27 0.111
463 A 0 0 0. 0 0.
464 A 64 20 1. 34 0.588
465 A 53 21 1. 34 0.618
466 A 37 18 1. 32 0.562
467 A 7 6 1. 27 0.222
468 A 0 0 0. 0 0.
469 A 51 25 1. 36 0.694
470 A 30 20 1. 34 0.588
471 A 13 11 1. 29 0.379
472 A 0 0 0. 0 0.
473 A 57 27 1. 34 0.794
474 A 9 7 1. 29 0.241
475 A 0 0 0. 0 0.
476 A 34 14 1. 34 0.412
477 A 26 14 1. 34 0.412
478 A 19 11 1. 32 0.344
479 A 4 3 1. 27 0.111
480 A 0 0 0. 0 0.
481 A 67 22 1. 34 0.647
482 A 52 22 1. 34 0.647
483 A 38 17 1. 32 0.531
484 A 8 8 1. 27 0.296
485 A 0 0 0. 0 0.
486 A 62 23 1. 28 0.821
487 A 47 20 1. 28 0.714
488 A 36 18 1. 26 0.692
489 A 3 2 1. 21 0.095
490 A 0 0 0. 0 0.
491 A 87 28 1. 34 0.824
492 A 71 26 1. 34 0.765
493 A 49 23 1. 32 0.719
494 A 7 6 1. 27 0.222
495 A 0 0 0. 0 0.
496 A 88 33 1. 36 0.917
497 A 44 22 1. 34 0.647
498 A 17 12 1. 29 0.414
499 A 0 0 0. 0 0.
500 A 65 28 1. 34 0.824
501 A 9 7 1. 29 0.241
502 A 0 0 0. 0 0.

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