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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, 471, 472, 473 }

B grade: { }

C grade: { }

F grade: { 470, 474}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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, 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, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 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, 163, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 206, 207, 208, 209, 212, 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, 244, 249, 254, 258, 264, 270, 275, 280, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 302, 303, 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, 351, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 374, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 392, 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, 435, 436, 437, 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, 470, 471, 472, 473, 474 }

B grade: { 85, 205, 210, 211, 213, 373, 383, 469 }

C grade: { 7, 54, 55, 56, 102, 111, 112, 156, 157, 158, 159, 160, 161, 162, 164, 165, 166, 167, 168, 169, 170, 171, 187, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 259, 260, 261, 262, 265, 266, 267, 268, 271, 272, 273, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 350, 352, 353, 354, 355, 356, 357, 358, 359, 395, 396, 397 }

F grade: { 28, 83, 84, 263, 269, 274, 300, 304, 393, 394, 398, 432, 433, 434, 438}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 34, 40, 41, 47, 82, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 122, 123, 124, 125, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 163, 164, 165, 166, 167, 172, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 195, 196, 197, 198, 199, 200, 201, 206, 207, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 230, 231, 232, 237, 238, 240, 241, 242, 243, 244, 245, 247, 249, 254, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 275, 280, 282, 288, 290, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 383, 387, 388, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 404, 411, 431, 434, 435, 436, 437, 438, 449, 450, 455, 456, 461, 462, 466, 469, 473, 474 }

B grade: { 5, 6, 7, 8, 14, 15, 31, 32, 33, 36, 37, 38, 39, 42, 43, 44, 45, 46, 48, 52, 57, 58, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 75, 76, 77, 79, 80, 81, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 115, 116, 117, 120, 121, 126, 158, 159, 160, 161, 162, 168, 169, 170, 171, 193, 202, 203, 204, 205, 208, 209, 210, 211, 212, 213, 214, 227, 228, 229, 233, 234, 235, 236, 239, 246, 248, 250, 251, 252, 253, 255, 256, 257, 271, 272, 273, 274, 276, 277, 278, 279, 284, 286, 320, 321, 322, 335, 356, 386, 432, 433 }

C grade: { 35, 49, 50, 51, 53, 54, 55, 56, 281, 283, 285, 287, 289 }

F grade: { 13, 28, 61, 65, 69, 73, 74, 78, 83, 84, 85, 86, 114, 118, 119, 135, 141, 142, 173, 174, 175, 291, 292, 293, 294, 295, 296, 297, 298, 299, 310, 311, 345, 360, 379, 380, 381, 382, 384, 385, 389, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 457, 458, 459, 460, 463, 464, 465, 467, 468, 470, 471, 472 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 12, 20, 21, 29, 87, 88, 89, 90, 97, 98, 99, 108, 125, 146, 172, 176, 181, 220, 244, 249, 254, 258, 264, 270, 275, 280, 312, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 361, 362, 363, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 388, 399, 400, 404, 411, 431, 435, 436, 437, 449, 450, 455, 456, 461, 462, 466, 470, 473

B grade: { 106, 107, 184, 186, 195, 331, 332 }

C grade: { }

F grade: { 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 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, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 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, 173, 174, 175, 177, 178, 179, 180, 182, 183, 185, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 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, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 333, 334, 335, 338, 339, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 374, 379, 380, 381, 382, 383, 384, 385, 386, 387, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 457, 458, 459, 460, 463, 464, 465, 467, 468, 469, 471, 472, 474 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 20, 21, 25, 26, 27, 29, 30, 82, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 124, 125, 127, 128, 129, 130, 131, 132, 133, 134, 138, 139, 140, 146, 150, 154, 172, 176, 180, 181, 184, 191, 192, 195, 201, 220, 226, 232, 238, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 320, 321, 322, 327, 328, 329, 330, 331, 332, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 361, 362, 363, 365, 366, 367, 368, 369, 370, 371, 372, 375, 376, 377, 378, 386, 387, 388, 390, 391, 392, 399, 400, 401, 402, 403, 404, 408, 409, 410, 411, 415, 416, 431, 435, 436, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 463, 464, 465, 466, 470, 471, 472, 473, 474 }

B grade: { 6, 7, 8, 93, 177, 178, 179, 183, 185, 186, 187, 188, 189, 190, 197, 198, 199, 200, 206, 207, 208, 209, 214, 335, 373, 469 }

C grade: { }

F grade: { 5, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 28, 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, 83, 84, 85, 86, 91, 92, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 135, 136, 137, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 182, 193, 194, 196, 202, 203, 204, 205, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 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, 310, 311, 316, 317, 318, 319, 323, 324, 325, 326, 333, 334, 338, 339, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 374, 379, 380, 381, 382, 383, 384, 385, 389, 393, 394, 395, 396, 397, 398, 405, 406, 407, 412, 413, 414, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 467, 468 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 20, 21, 25, 26, 27, 29, 30, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 124, 125, 131, 132, 133, 134, 138, 139, 140, 146, 150, 154, 172, 176, 177, 178, 179, 180, 181, 188, 189, 190, 191, 192, 197, 198, 199, 200, 201, 206, 207, 208, 209, 214, 220, 226, 232, 238, 244, 249, 264, 270, 283, 284, 300, 302, 303, 304, 306, 307, 312, 320, 321, 322, 327, 328, 329, 330, 331, 332, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 366, 367, 369, 370, 371, 372, 373, 375, 376, 377, 378, 386, 387, 388, 399, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 464, 465, 466, 473, 474 }

B grade: { }

C grade: { 365, 380, 381, 382, 384, 385 }

F grade: { 5, 6, 7, 8, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 28, 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, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 127, 128, 129, 130, 135, 136, 137, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 182, 183, 184, 185, 186, 187, 193, 194, 195, 196, 202, 203, 204, 205, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 305, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319, 323, 324, 325, 326, 333, 334, 335, 338, 339, 345, 360, 364, 368, 374, 379, 383, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 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, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 463, 467, 468, 469, 470, 471, 472 }

2.1.7 Giac

A grade: { 2, 3, 4, 11, 12, 16, 17, 18, 19, 20, 21, 25, 26, 27, 29, 30, 82, 87, 124, 125, 127, 131, 132, 133, 134, 138, 139, 140, 143, 144, 145, 146, 148, 149, 150, 151, 152, 153, 154, 163, 164, 165, 176, 177, 178, 179, 180, 181, 192, 216, 217, 218, 219, 220, 226, 232, 238, 240, 242, 244, 249, 254, 258, 259, 260, 261, 262, 263, 264, 270, 275, 280, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 335, 336, 337, 340, 341, 342, 343, 344, 361, 362, 363, 365, 373, 375, 386, 387, 388, 399, 400, 404, 411, 416, 431, 435, 436, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 463, 464, 465, 466, 470, 473, 474 }

B grade: { 1, 9, 10, 22, 23, 24, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 128, 129, 130, 147, 155, 156, 157, 158, 159, 160, 161, 162, 183, 184, 185, 186, 187, 188, 189, 190, 191, 195, 197, 198, 199, 200, 201, 206, 207, 208, 209, 214, 215, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 241, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 346, 347, 348, 349, 350, 351, 366, 367, 368 }

C grade: { }

F grade: { 5, 6, 7, 8, 13, 14, 15, 28, 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, 83, 84, 85, 86, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 135, 136, 137, 141, 142, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 182, 193, 194, 196, 202, 203, 204, 205, 210, 211, 212, 213, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 310, 311, 333, 334, 338, 339, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 369, 370, 371, 372, 374, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 467, 468, 469, 471, 472 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 165 265 344 447 316 456
normalized size 1 1. 0.92 1.48 1.92 2.5 1.77 2.55
time (sec) N/A 0.182 0.148 0.006 1.477 2.474 1.858 1.246
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 121 193 219 302 190 261
normalized size 1 1. 0.98 1.56 1.77 2.44 1.53 2.1
time (sec) N/A 0.095 0.092 0.005 1.476 2.404 0.871 1.273
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 92 97 126 176 99 138
normalized size 1 1. 0.94 0.99 1.29 1.8 1.01 1.41
time (sec) N/A 0.051 0.047 0.005 1.448 2.404 0.362 1.294
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 30 39 73 26 39
normalized size 1 1. 1. 1. 1.3 2.43 0.87 1.3
time (sec) N/A 0.013 0.01 0. 1.479 2.313 0.145 1.293
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 214 759 0 0 0 0
normalized size 1 1. 0.93 3.31 0. 0. 0. 0.
time (sec) N/A 0.303 0.165 0.164 0. 0. 0. 0.
Problem 6 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 85 85 83 191 0 738 0 0
normalized size 1 1. 0.98 2.25 0. 8.68 0. 0.
time (sec) N/A 0.053 0.15 0.018 0. 2.621 0. 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 207 301 0 1349 0 0
normalized size 1 1. 1.53 2.23 0. 9.99 0. 0.
time (sec) N/A 0.085 0.353 0.033 0. 3.975 0. 0.
Problem 8 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 191 191 241 560 0 2233 0 0
normalized size 1 1. 1.26 2.93 0. 11.69 0. 0.
time (sec) N/A 0.14 0.521 0.008 0. 12.247 0. 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 374 374 355 660 0 956 743 1121
normalized size 1 1. 0.95 1.76 0. 2.56 1.99 3.
time (sec) N/A 0.712 0.571 0.092 0. 2.486 4.474 1.354
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 249 420 0 633 454 655
normalized size 1 1. 1.03 1.74 0. 2.62 1.88 2.71
time (sec) N/A 0.479 0.387 0.065 0. 2.426 2.167 1.29
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 147 198 0 354 233 342
normalized size 1 1. 1.04 1.39 0. 2.49 1.64 2.41
time (sec) N/A 0.309 0.364 0.043 0. 2.473 0.949 1.26
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 72 97 159 82 101
normalized size 1 1. 1. 1.53 2.06 3.38 1.74 2.15
time (sec) N/A 0.061 0.043 0. 1.446 2.36 0.31 1.167
Problem 13 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 347 347 332 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.509 0.332 1.421 0. 0. 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 231 646 0 0 0 0
normalized size 1 1. 0.75 2.09 0. 0. 0. 0.
time (sec) N/A 0.529 0.338 0.393 0. 0. 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 401 401 315 1173 0 0 0 0
normalized size 1 1. 0.79 2.93 0. 0. 0. 0.
time (sec) N/A 0.636 1.011 0.868 0. 0. 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 393 393 304 327 0 0 0 807
normalized size 1 1. 0.77 0.83 0. 0. 0. 2.05
time (sec) N/A 1.134 0.75 0.064 0. 0. 0. 1.377
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 187 206 0 0 0 451
normalized size 1 1. 0.77 0.84 0. 0. 0. 1.85
time (sec) N/A 0.667 0.439 0.047 0. 0. 0. 1.294
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 98 103 0 0 0 192
normalized size 1 1. 0.85 0.9 0. 0. 0. 1.67
time (sec) N/A 0.306 0.186 0.036 0. 0. 0. 1.261
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 44 48 0 0 0 66
normalized size 1 1. 0.83 0.91 0. 0. 0. 1.25
time (sec) N/A 0.066 0.025 0. 0. 0. 0. 1.256
Problem 20 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 0.031 0.205 1.631 0. 0. 0. 0.
Problem 21 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 0.029 0.397 0.89 0. 0. 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 362 354 290 526 0 0 0 1713
normalized size 1 0.98 0.8 1.45 0. 0. 0. 4.73
time (sec) N/A 0.546 1.85 0.082 0. 0. 0. 1.539
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 177 149 257 0 0 0 757
normalized size 1 0.98 0.82 1.42 0. 0. 0. 4.18
time (sec) N/A 0.312 0.686 0.051 0. 0. 0. 1.4
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 82 72 76 0 0 0 259
normalized size 1 0.95 0.84 0.88 0. 0. 0. 3.01
time (sec) N/A 0.173 0.227 0. 0. 0. 0. 1.338
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.029 6.104 3.938 0. 0. 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.027 11.997 1.382 0. 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 75 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.196 4.853 0.322 0. 0. 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 154 154 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.043 0.426 0. 0. 0. 0.
Problem 29 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 0.027 0.376 1.492 0. 0. 0. 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.027 0.804 0.987 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 669 669 356 1286 0 0 0 0
normalized size 1 1. 0.53 1.92 0. 0. 0. 0.
time (sec) N/A 0.693 0.444 0.792 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 450 450 237 912 0 0 0 0
normalized size 1 1. 0.53 2.03 0. 0. 0. 0.
time (sec) N/A 0.523 0.497 0.49 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 132 491 0 0 0 0
normalized size 1 1. 0.55 2.06 0. 0. 0. 0.
time (sec) N/A 0.242 0.25 0.356 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 736 736 368 1206 0 0 0 0
normalized size 1 1. 0.5 1.64 0. 0. 0. 0.
time (sec) N/A 1.876 0.966 0.357 0. 0. 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 860 860 600 1572 0 0 0 0
normalized size 1 1. 0.7 1.83 0. 0. 0. 0.
time (sec) N/A 2.715 2.65 0.49 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 959 959 463 1734 0 0 0 0
normalized size 1 1. 0.48 1.81 0. 0. 0. 0.
time (sec) N/A 0.94 1.189 0.766 0. 0. 0. 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 680 680 332 1252 0 0 0 0
normalized size 1 1. 0.49 1.84 0. 0. 0. 0.
time (sec) N/A 0.733 0.485 0.571 0. 0. 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 370 370 216 698 0 0 0 0
normalized size 1 1. 0.58 1.89 0. 0. 0. 0.
time (sec) N/A 0.326 0.286 0.42 0. 0. 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1073 1073 507 2742 0 0 0 0
normalized size 1 1. 0.47 2.56 0. 0. 0. 0.
time (sec) N/A 2.224 1.462 0.305 0. 0. 0. 0.
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1281 1281 587 2236 0 0 0 0
normalized size 1 1. 0.46 1.75 0. 0. 0. 0.
time (sec) N/A 1.134 1.028 0.866 0. 0. 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 940 940 390 1633 0 0 0 0
normalized size 1 1. 0.41 1.74 0. 0. 0. 0.
time (sec) N/A 0.92 0.729 0.664 0. 0. 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 517 517 251 931 0 0 0 0
normalized size 1 1. 0.49 1.8 0. 0. 0. 0.
time (sec) N/A 0.394 0.431 0.499 0. 0. 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1648 1648 787 4685 0 0 0 0
normalized size 1 1. 0.48 2.84 0. 0. 0. 0.
time (sec) N/A 2.687 2.689 0.419 0. 0. 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 450 450 343 845 0 0 0 0
normalized size 1 1. 0.76 1.88 0. 0. 0. 0.
time (sec) N/A 0.584 1.066 0.546 0. 0. 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 266 549 0 0 0 0
normalized size 1 1. 0.99 2.03 0. 0. 0. 0.
time (sec) N/A 0.433 0.692 0.37 0. 0. 0. 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 172 236 0 0 0 0
normalized size 1 1. 1.37 1.87 0. 0. 0. 0.
time (sec) N/A 0.222 0.351 0.236 0. 0. 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 380 380 232 502 0 0 0 0
normalized size 1 1. 0.61 1.32 0. 0. 0. 0.
time (sec) N/A 0.608 0.217 0.157 0. 0. 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 507 507 295 1678 0 0 0 0
normalized size 1 1. 0.58 3.31 0. 0. 0. 0.
time (sec) N/A 0.71 0.457 0.408 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 194 1158 0 0 0 0
normalized size 1 1. 0.62 3.68 0. 0. 0. 0.
time (sec) N/A 0.556 1.039 0.518 0. 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 156 867 0 0 0 0
normalized size 1 1. 0.73 4.07 0. 0. 0. 0.
time (sec) N/A 0.428 0.702 0.364 0. 0. 0. 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 135 443 0 0 0 0
normalized size 1 1. 0.94 3.08 0. 0. 0. 0.
time (sec) N/A 0.187 0.519 0.244 0. 0. 0. 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 654 654 359 1902 0 0 0 0
normalized size 1 1. 0.55 2.91 0. 0. 0. 0.
time (sec) N/A 1.16 1.937 0.48 0. 0. 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 528 754 868 6743 0 0 0 0
normalized size 1 1.43 1.64 12.77 0. 0. 0. 0.
time (sec) N/A 0.753 3.231 0.823 0. 0. 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 410 366 5098 0 0 0 0
normalized size 1 1. 0.89 12.43 0. 0. 0. 0.
time (sec) N/A 0.433 1.278 0.575 0. 0. 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 354 285 3765 0 0 0 0
normalized size 1 1.31 1.05 13.89 0. 0. 0. 0.
time (sec) N/A 0.39 1.022 0.437 0. 0. 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 208 2236 0 0 0 0
normalized size 1 1. 0.91 9.81 0. 0. 0. 0.
time (sec) N/A 0.195 0.808 0.309 0. 0. 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1300 1300 2078 7977 0 0 0 0
normalized size 1 1. 1.6 6.14 0. 0. 0. 0.
time (sec) N/A 1.767 12.887 0.483 0. 0. 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1154 1154 696 2947 0 0 0 0
normalized size 1 1. 0.6 2.55 0. 0. 0. 0.
time (sec) N/A 1.555 1.179 0.784 0. 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 737 737 441 2051 0 0 0 0
normalized size 1 1. 0.6 2.78 0. 0. 0. 0.
time (sec) N/A 1.027 0.956 0.646 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 396 396 224 1139 0 0 0 0
normalized size 1 1. 0.57 2.88 0. 0. 0. 0.
time (sec) N/A 0.504 0.278 0.341 0. 0. 0. 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1442 1442 516 0 0 0 0 0
normalized size 1 1. 0.36 0. 0. 0. 0. 0.
time (sec) N/A 3.055 1.443 0.549 0. 0. 0. 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1685 1685 872 4018 0 0 0 0
normalized size 1 1. 0.52 2.38 0. 0. 0. 0.
time (sec) N/A 2.469 2.481 0.806 0. 0. 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1108 1108 616 2850 0 0 0 0
normalized size 1 1. 0.56 2.57 0. 0. 0. 0.
time (sec) N/A 1.524 1.036 0.855 0. 0. 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 621 621 395 1640 0 0 0 0
normalized size 1 1. 0.64 2.64 0. 0. 0. 0.
time (sec) N/A 0.717 0.622 0.436 0. 0. 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1992 1992 740 0 0 0 0 0
normalized size 1 1. 0.37 0. 0. 0. 0. 0.
time (sec) N/A 3.78 2.547 0.565 0. 0. 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2290 2290 1114 5226 0 0 0 0
normalized size 1 1. 0.49 2.28 0. 0. 0. 0.
time (sec) N/A 3.287 1.932 0.909 0. 0. 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1533 1533 742 3750 0 0 0 0
normalized size 1 1. 0.48 2.45 0. 0. 0. 0.
time (sec) N/A 2.053 1.427 0.702 0. 0. 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 878 878 470 2205 0 0 0 0
normalized size 1 1. 0.54 2.51 0. 0. 0. 0.
time (sec) N/A 0.941 0.932 0.528 0. 0. 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 2989 2989 1277 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 4.941 4.923 0.51 0. 0. 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 692 582 1876 0 0 0 0
normalized size 1 1. 0.84 2.71 0. 0. 0. 0.
time (sec) N/A 0.702 1.478 0.696 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 410 400 1181 0 0 0 0
normalized size 1 1. 0.98 2.88 0. 0. 0. 0.
time (sec) N/A 0.553 1.371 0.387 0. 0. 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 207 291 513 0 0 0 0
normalized size 1 1.21 1.7 3. 0. 0. 0. 0.
time (sec) N/A 0.369 0.596 0.303 0. 0. 0. 0.
Problem 73 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 589 589 357 0 0 0 0 0
normalized size 1 1. 0.61 0. 0. 0. 0. 0.
time (sec) N/A 1.018 0.391 0.589 0. 0. 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1113 1113 651 0 0 0 0 0
normalized size 1 1. 0.58 0. 0. 0. 0. 0.
time (sec) N/A 1.476 0.719 1.546 0. 0. 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 738 738 325 2663 0 0 0 0
normalized size 1 1. 0.44 3.61 0. 0. 0. 0.
time (sec) N/A 1.191 3.325 0.635 0. 0. 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 513 513 259 1861 0 0 0 0
normalized size 1 1. 0.5 3.63 0. 0. 0. 0.
time (sec) N/A 0.98 2.235 0.453 0. 0. 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 237 1047 0 0 0 0
normalized size 1 1. 0.58 2.55 0. 0. 0. 0.
time (sec) N/A 0.573 1.361 0.312 0. 0. 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1137 1137 597 0 0 0 0 0
normalized size 1 1. 0.53 0. 0. 0. 0. 0.
time (sec) N/A 2. 4.967 2.438 0. 0. 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1589 1589 715 13136 0 0 0 0
normalized size 1 1. 0.45 8.27 0. 0. 0. 0.
time (sec) N/A 2.112 6.253 0.802 0. 0. 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1025 1025 711 9710 0 0 0 0
normalized size 1 1. 0.69 9.47 0. 0. 0. 0.
time (sec) N/A 1.307 6.246 0.454 0. 0. 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 641 641 683 5897 0 0 0 0
normalized size 1 1. 1.07 9.2 0. 0. 0. 0.
time (sec) N/A 0.784 6.223 0.411 0. 0. 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.183 0.148 5.632 0. 0. 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F(-1) F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 634 634 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.871 152.004 8.092 0. 0. 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F(-1) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 514 514 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.753 76.408 6.27 0. 0. 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 390 390 2724 0 0 0 0 0
normalized size 1 1. 6.98 0. 0. 0. 0. 0.
time (sec) N/A 0.623 9.714 4.362 0. 0. 0. 0.
Problem 86 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 237 237 246 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.332 0.024 0.165 0. 0. 0. 0.
Problem 87 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 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 0.205 2.396 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 305 490 778 980 770 1118
normalized size 1 1. 0.87 1.4 2.22 2.79 2.19 3.19
time (sec) N/A 0.992 0.396 0.019 1.747 1.856 5.158 1.295
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 211 338 525 668 502 699
normalized size 1 1. 0.85 1.36 2.12 2.69 2.02 2.82
time (sec) N/A 0.535 0.299 0.006 1.747 1.768 2.954 1.329
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 138 198 301 378 267 362
normalized size 1 1. 0.93 1.34 2.03 2.55 1.8 2.45
time (sec) N/A 0.193 0.188 0.006 1.579 1.767 1.318 1.319
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 282 1578 0 0 0 0
normalized size 1 1. 0.82 4.59 0. 0. 0. 0.
time (sec) N/A 0.643 0.549 0.367 0. 0. 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 358 358 322 982 0 0 0 0
normalized size 1 1. 0.9 2.74 0. 0. 0. 0.
time (sec) N/A 0.952 0.469 0.703 0. 0. 0. 0.
Problem 93 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 202 202 263 805 0 2380 0 0
normalized size 1 1. 1.3 3.99 0. 11.78 0. 0.
time (sec) N/A 0.358 0.547 0.014 0. 40.604 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 321 1269 0 0 0 0
normalized size 1 1. 1.25 4.94 0. 0. 0. 0.
time (sec) N/A 0.427 0.773 0.013 0. 0. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 418 1804 0 0 0 0
normalized size 1 1. 1.16 5.01 0. 0. 0. 0.
time (sec) N/A 0.695 1.278 0.019 0. 0. 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 457 457 494 2431 0 0 0 0
normalized size 1 1. 1.08 5.32 0. 0. 0. 0.
time (sec) N/A 0.966 1.394 0.018 0. 0. 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 512 509 463 705 1257 1509 1263 1962
normalized size 1 0.99 0.9 1.38 2.46 2.95 2.47 3.83
time (sec) N/A 2.511 0.518 0.017 1.681 4.033 11.043 1.325
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 361 307 502 849 1042 821 1218
normalized size 1 1. 0.85 1.39 2.35 2.89 2.27 3.37
time (sec) N/A 1.215 0.501 0.005 1.656 3.914 5.683 1.306
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 186 307 500 586 449 664
normalized size 1 1. 0.83 1.38 2.24 2.63 2.01 2.98
time (sec) N/A 0.448 0.299 0.005 1.673 3.01 2.689 1.265
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 459 459 381 2477 0 0 0 0
normalized size 1 1. 0.83 5.4 0. 0. 0. 0.
time (sec) N/A 0.787 0.635 0.464 0. 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 460 460 392 1922 0 0 0 0
normalized size 1 1. 0.85 4.18 0. 0. 0. 0.
time (sec) N/A 0.847 0.969 1.245 0. 0. 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 488 488 996 2706 0 0 0 0
normalized size 1 1. 2.04 5.55 0. 0. 0. 0.
time (sec) N/A 1.262 6.645 1.641 0. 0. 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 442 2173 0 0 0 0
normalized size 1 1. 1.27 6.23 0. 0. 0. 0.
time (sec) N/A 0.617 1.825 0.015 0. 0. 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 470 470 575 3005 0 0 0 0
normalized size 1 1. 1.22 6.39 0. 0. 0. 0.
time (sec) N/A 0.944 2.935 0.013 0. 0. 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 593 593 682 4077 0 0 0 0
normalized size 1 1. 1.15 6.88 0. 0. 0. 0.
time (sec) N/A 1.255 2.669 0.014 0. 0. 0. 0.
Problem 106 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 684 684 619 932 1791 2137 1809 2966
normalized size 1 1. 0.9 1.36 2.62 3.12 2.64 4.34
time (sec) N/A 6.264 0.916 0.016 1.581 3.859 19.189 1.363
Problem 107 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 484 482 380 674 1231 1426 1197 1917
normalized size 1 1. 0.79 1.39 2.54 2.95 2.47 3.96
time (sec) N/A 2.55 0.906 0.006 1.545 3.465 10.587 1.427
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 253 428 726 846 658 1041
normalized size 1 1. 0.82 1.39 2.36 2.75 2.14 3.38
time (sec) N/A 0.948 0.465 0.005 1.493 2.808 6.037 1.19
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 623 623 498 3455 0 0 0 0
normalized size 1 1. 0.8 5.55 0. 0. 0. 0.
time (sec) N/A 1.136 1.005 0.709 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 617 617 515 2939 0 0 0 0
normalized size 1 1. 0.83 4.76 0. 0. 0. 0.
time (sec) N/A 1.742 1.431 1.714 0. 0. 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1016 1016 1556 4548 0 0 0 0
normalized size 1 1. 1.53 4.48 0. 0. 0. 0.
time (sec) N/A 2.618 6.455 1.173 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1278 1278 1921 5682 0 0 0 0
normalized size 1 1. 1.5 4.45 0. 0. 0. 0.
time (sec) N/A 2.859 6.956 2.217 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 935 935 574 3105 0 0 0 0
normalized size 1 1. 0.61 3.32 0. 0. 0. 0.
time (sec) N/A 2.934 1.603 0.931 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1678 1678 903 0 0 0 0 0
normalized size 1 1. 0.54 0. 0. 0. 0. 0.
time (sec) N/A 3.709 4.314 5.037 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1016 1016 734 2600 0 3374 2992 4925
normalized size 1 1. 0.72 2.56 0. 3.32 2.94 4.85
time (sec) N/A 1.58 1.036 0.268 0. 4.062 25.742 1.475
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 701 701 534 1633 0 2303 1935 3055
normalized size 1 1. 0.76 2.33 0. 3.29 2.76 4.36
time (sec) N/A 1.123 0.579 0.177 0. 3.708 12.976 1.391
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 425 425 364 870 0 1289 1059 1613
normalized size 1 1. 0.86 2.05 0. 3.03 2.49 3.8
time (sec) N/A 0.698 0.332 0.114 0. 3.191 6.114 1.322
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1067 1067 556 0 0 0 0 0
normalized size 1 1. 0.52 0. 0. 0. 0. 0.
time (sec) N/A 1.948 0.678 2.546 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1323 1323 688 0 0 0 0 0
normalized size 1 1. 0.52 0. 0. 0. 0. 0.
time (sec) N/A 2.473 1.267 3.88 0. 0. 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 520 520 307 1405 0 0 0 0
normalized size 1 1. 0.59 2.7 0. 0. 0. 0.
time (sec) N/A 1.645 0.47 0.932 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 920 920 526 2594 0 0 0 0
normalized size 1 1. 0.57 2.82 0. 0. 0. 0.
time (sec) N/A 4.244 0.829 0.903 0. 0. 0. 0.
Problem 122 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 137 137 99 213 0 219 255 383
normalized size 1 1. 0.72 1.55 0. 1.6 1.86 2.8
time (sec) N/A 0.2 0.088 0.016 0. 2.76 1.859 1.205
Problem 123 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 94 94 77 137 0 173 170 234
normalized size 1 1. 0.82 1.46 0. 1.84 1.81 2.49
time (sec) N/A 0.118 0.06 0.003 0. 2.816 0.899 1.17
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 62 79 0 135 104 123
normalized size 1 1. 0.78 0.99 0. 1.69 1.3 1.54
time (sec) N/A 0.077 0.044 0.003 0. 2.781 0.361 1.157
Problem 125 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 41 31 41 92 46 41
normalized size 1 1. 1.17 0.89 1.17 2.63 1.31 1.17
time (sec) N/A 0.016 0.034 0.001 1.463 2.883 0.186 1.176
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 197 579 0 0 0 0
normalized size 1 1. 1.09 3.2 0. 0. 0. 0.
time (sec) N/A 0.279 0.016 0.128 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 66 78 0 554 0 107
normalized size 1 1. 1.03 1.22 0. 8.66 0. 1.67
time (sec) N/A 0.075 0.05 0.011 0. 3.108 0. 1.215
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 125 118 0 765 0 328
normalized size 1 1. 1.21 1.15 0. 7.43 0. 3.18
time (sec) N/A 0.116 0.199 0.007 0. 3.44 0. 1.224
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 166 227 0 925 0 752
normalized size 1 1. 1.15 1.58 0. 6.42 0. 5.22
time (sec) N/A 0.18 0.21 0.008 0. 3.608 0. 1.217
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 194 309 0 1115 0 1501
normalized size 1 1. 1.04 1.66 0. 5.99 0. 8.07
time (sec) N/A 0.274 0.226 0.007 0. 3.989 0. 1.283
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 343 148 435 0 352 366 594
normalized size 1 1. 0.43 1.27 0. 1.03 1.07 1.73
time (sec) N/A 0.596 0.207 0.084 0. 2.652 4.156 1.254
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 111 231 0 266 243 366
normalized size 1 1. 0.5 1.05 0. 1.21 1.1 1.66
time (sec) N/A 0.395 0.155 0.061 0. 2.78 1.811 1.24
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 83 124 0 190 138 188
normalized size 1 1. 0.64 0.95 0. 1.46 1.06 1.45
time (sec) N/A 0.249 0.09 0.042 0. 2.818 1.015 1.226
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 49 48 0 130 63 70
normalized size 1 1. 1.04 1.02 0. 2.77 1.34 1.49
time (sec) N/A 0.055 0.025 0.031 0. 2.706 0.383 1.175
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 309 0 0 0 0 0
normalized size 1 1. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 0.41 0.035 0.84 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 230 208 208 333 0 0 0 0
normalized size 1 0.9 0.9 1.45 0. 0. 0. 0.
time (sec) N/A 0.447 0.13 0.282 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 272 314 526 0 0 0 0
normalized size 1 1. 1.15 1.93 0. 0. 0. 0.
time (sec) N/A 0.585 0.114 0.57 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 371 181 344 0 378 432 525
normalized size 1 1. 0.49 0.93 0. 1.02 1.16 1.42
time (sec) N/A 0.451 0.222 0.063 0. 2.885 4.003 1.212
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 135 185 0 266 248 274
normalized size 1 1. 0.64 0.88 0. 1.26 1.18 1.3
time (sec) N/A 0.309 0.142 0.047 0. 2.902 1.59 1.199
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 74 71 0 170 109 105
normalized size 1 1. 0.9 0.87 0. 2.07 1.33 1.28
time (sec) N/A 0.081 0.032 0.032 0. 2.799 0.735 1.191
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 424 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.451 0.038 0.879 0. 0. 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 309 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.634 0.113 0.545 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 45 49 0 0 0 76
normalized size 1 1. 0.75 0.82 0. 0. 0. 1.27
time (sec) N/A 0.612 0.156 0.041 0. 0. 0. 1.262
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 27 0 0 0 38
normalized size 1 1. 1. 0.9 0. 0. 0. 1.27
time (sec) N/A 0.221 0.056 0.031 0. 0. 0. 1.217
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 0 0 0 15
normalized size 1 1. 1. 1.09 0. 0. 0. 1.36
time (sec) N/A 0.022 0.016 0.03 0. 0. 0. 1.199
Problem 146 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 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.221 0.286 0. 0. 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 161 86 149 0 0 0 228
normalized size 1 1.92 1.02 1.77 0. 0. 0. 2.71
time (sec) N/A 0.228 0.553 0.047 0. 0. 0. 1.214
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 87 63 72 0 0 0 112
normalized size 1 1.58 1.15 1.31 0. 0. 0. 2.04
time (sec) N/A 0.14 0.182 0.038 0. 0. 0. 1.193
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 37 38 0 0 0 53
normalized size 1 1. 0.9 0.93 0. 0. 0. 1.29
time (sec) N/A 0.079 0.071 0.03 0. 0. 0. 1.159
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 2.835 0.744 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 263 115 215 0 0 0 367
normalized size 1 1.49 0.65 1.22 0. 0. 0. 2.09
time (sec) N/A 0.507 0.511 0.058 0. 0. 0. 1.261
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 151 121 109 0 0 0 188
normalized size 1 1.4 1.12 1.01 0. 0. 0. 1.74
time (sec) N/A 0.269 0.109 0.04 0. 0. 0. 1.212
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 65 53 0 0 0 77
normalized size 1 1. 1. 0.82 0. 0. 0. 1.18
time (sec) N/A 0.086 0.068 0.027 0. 0. 0. 1.157
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 2.492 0.878 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 535 535 473 748 0 0 0 1235
normalized size 1 1. 0.88 1.4 0. 0. 0. 2.31
time (sec) N/A 2.233 1.674 0.169 0. 0. 0. 2.393
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 269 269 256 369 0 0 0 593
normalized size 1 1. 0.95 1.37 0. 0. 0. 2.2
time (sec) N/A 0.77 2.963 0.104 0. 0. 0. 1.931
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 133 133 129 194 0 0 0 301
normalized size 1 1. 0.97 1.46 0. 0. 0. 2.26
time (sec) N/A 0.295 0.095 0.07 0. 0. 0. 1.432
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 343 343 635 577 0 0 0 1856
normalized size 1 1. 1.85 1.68 0. 0. 0. 5.41
time (sec) N/A 1.043 7.396 0.133 0. 0. 0. 2.317
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 175 175 313 296 0 0 0 980
normalized size 1 1. 1.79 1.69 0. 0. 0. 5.6
time (sec) N/A 0.271 3.022 0.081 0. 0. 0. 1.874
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 406 406 1083 859 0 0 0 3578
normalized size 1 1. 2.67 2.12 0. 0. 0. 8.81
time (sec) N/A 1.17 9.42 0.157 0. 0. 0. 3.463
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 432 433 0 0 0 1766
normalized size 1 1. 2.12 2.12 0. 0. 0. 8.66
time (sec) N/A 0.422 3.205 0.093 0. 0. 0. 2.476
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 551 608 0 0 0 2175
normalized size 1 1. 2.27 2.5 0. 0. 0. 8.95
time (sec) N/A 0.442 4.997 0.114 0. 0. 0. 3.283
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 440 440 335 339 0 0 0 898
normalized size 1 1. 0.76 0.77 0. 0. 0. 2.04
time (sec) N/A 1.019 1.112 0.097 0. 0. 0. 2.622
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 224 164 0 0 0 429
normalized size 1 1. 1.06 0.78 0. 0. 0. 2.03
time (sec) N/A 0.452 0.64 0.065 0. 0. 0. 2.191
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 131 87 0 0 0 230
normalized size 1 1. 1.25 0.83 0. 0. 0. 2.19
time (sec) N/A 0.13 0.096 0.036 0. 0. 0. 1.875
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 287 287 287 301 0 0 0 0
normalized size 1 1. 1. 1.05 0. 0. 0. 0.
time (sec) N/A 0.611 2.241 0.105 0. 0. 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 185 161 0 0 0 0
normalized size 1 1. 1.28 1.12 0. 0. 0. 0.
time (sec) N/A 0.279 0.293 0.069 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 384 384 392 681 0 0 0 0
normalized size 1 1. 1.02 1.77 0. 0. 0. 0.
time (sec) N/A 0.896 2.708 0.133 0. 0. 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 238 355 0 0 0 0
normalized size 1 1. 1.33 1.98 0. 0. 0. 0.
time (sec) N/A 0.279 0.947 0.079 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 468 468 524 1172 0 0 0 0
normalized size 1 1. 1.12 2.5 0. 0. 0. 0.
time (sec) N/A 1.064 1.857 0.167 0. 0. 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 218 218 287 600 0 0 0 0
normalized size 1 1. 1.32 2.75 0. 0. 0. 0.
time (sec) N/A 0.43 0.801 0.096 0. 0. 0. 0.
Problem 172 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 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.467 1.419 0. 0. 0. 0.
Problem 173 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 611 611 419 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 1.116 0.504 0.405 0. 0. 0. 0.
Problem 174 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 301 301 269 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.517 0.22 0.266 0. 0. 0. 0.
Problem 175 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 147 147 129 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.133 0.108 0.126 0. 0. 0. 0.
Problem 176 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 0.058 0.187 0.14 0. 0. 0. 0.
Problem 177 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 106 106 77 99 0 564 527 225
normalized size 1 1. 0.73 0.93 0. 5.32 4.97 2.12
time (sec) N/A 0.093 0.111 0.011 0. 2.41 6.21 1.351
Problem 178 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 109 109 87 90 0 452 394 204
normalized size 1 1. 0.8 0.83 0. 4.15 3.61 1.87
time (sec) N/A 0.076 0.079 0.006 0. 2.395 2.816 1.39
Problem 179 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 80 80 64 77 0 321 258 142
normalized size 1 1. 0.8 0.96 0. 4.01 3.22 1.78
time (sec) N/A 0.071 0.048 0.004 0. 2.208 1.259 1.321
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 59 64 0 213 148 109
normalized size 1 1. 0.84 0.91 0. 3.04 2.11 1.56
time (sec) N/A 0.04 0.068 0.004 0. 2.107 0.475 1.183
Problem 181 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 40 40 51 36 47 111 51 47
normalized size 1 1. 1.27 0.9 1.18 2.78 1.27 1.18
time (sec) N/A 0.024 0.04 0.003 1.423 1.923 0.22 1.157
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 71 182 0 0 0 0
normalized size 1 1. 0.8 2.04 0. 0. 0. 0.
time (sec) N/A 0.105 0.059 0.038 0. 0. 0. 0.
Problem 183 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 51 51 46 56 0 238 0 163
normalized size 1 1. 0.9 1.1 0. 4.67 0. 3.2
time (sec) N/A 0.053 0.027 0.004 0. 2.116 0. 1.282
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 49 62 162 213 0 301
normalized size 1 1. 0.8 1.02 2.66 3.49 0. 4.93
time (sec) N/A 0.053 0.054 0.006 1.468 2.153 0. 1.282
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 77 78 0 462 0 508
normalized size 1 1. 0.88 0.89 0. 5.25 0. 5.77
time (sec) N/A 0.073 0.076 0.005 0. 2.471 0. 1.679
Problem 186 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 94 94 63 84 355 405 0 576
normalized size 1 1. 0.67 0.89 3.78 4.31 0. 6.13
time (sec) N/A 0.068 0.061 0.004 1.614 2.298 0. 1.682
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 68 100 0 705 0 783
normalized size 1 1. 0.56 0.83 0. 5.83 0. 6.47
time (sec) N/A 0.093 0.039 0.004 0. 3.222 0. 1.819
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 164 194 0 1207 1268 576
normalized size 1 1. 0.81 0.96 0. 5.95 6.25 2.84
time (sec) N/A 0.305 0.377 0.035 0. 2.396 13.318 1.284
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 142 206 0 922 916 474
normalized size 1 1. 0.81 1.17 0. 5.24 5.2 2.69
time (sec) N/A 0.259 0.202 0.036 0. 2.618 6.923 1.243
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 112 152 0 651 610 355
normalized size 1 1. 0.8 1.09 0. 4.65 4.36 2.54
time (sec) N/A 0.207 0.194 0.031 0. 2.483 2.859 1.284
Problem 191 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 105 105 86 146 0 421 335 261
normalized size 1 1. 0.82 1.39 0. 4.01 3.19 2.49
time (sec) N/A 0.145 0.074 0.03 0. 2.435 1.272 1.267
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 63 92 0 224 143 150
normalized size 1 1. 1.07 1.56 0. 3.8 2.42 2.54
time (sec) N/A 0.072 0.083 0.003 0. 2.394 0.462 1.193
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 126 126 170 455 0 0 0 0
normalized size 1 1. 1.35 3.61 0. 0. 0. 0.
time (sec) N/A 0.183 0.163 0.039 0. 0. 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 176 251 0 0 0 0
normalized size 1 1. 1.52 2.16 0. 0. 0. 0.
time (sec) N/A 0.164 0.575 0.069 0. 0. 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 126 152 319 338 0 666
normalized size 1 1. 1.45 1.75 3.67 3.89 0. 7.66
time (sec) N/A 0.135 0.234 0.036 1.537 3.012 0. 1.39
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 246 336 0 0 0 0
normalized size 1 1. 1.32 1.8 0. 0. 0. 0.
time (sec) N/A 0.246 2.041 0.129 0. 0. 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 338 307 383 0 2141 2518 1085
normalized size 1 1. 0.91 1.13 0. 6.33 7.45 3.21
time (sec) N/A 0.494 0.94 0.041 0. 3.588 26.376 1.355
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 232 397 0 1597 1828 864
normalized size 1 1. 0.81 1.38 0. 5.56 6.37 3.01
time (sec) N/A 0.4 0.499 0.043 0. 2.842 14.784 1.324
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 199 280 0 1107 1173 655
normalized size 1 1. 0.85 1.19 0. 4.71 4.99 2.79
time (sec) N/A 0.322 0.343 0.038 0. 2.63 7.355 1.332
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 137 266 0 716 685 479
normalized size 1 1. 0.83 1.61 0. 4.34 4.15 2.9
time (sec) N/A 0.209 0.216 0.036 0. 2.564 2.996 1.268
Problem 201 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 104 104 96 166 0 370 282 281
normalized size 1 1. 0.92 1.6 0. 3.56 2.71 2.7
time (sec) N/A 0.114 0.077 0.029 0. 2.391 1.165 1.201
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 304 828 0 0 0 0
normalized size 1 1. 1.8 4.9 0. 0. 0. 0.
time (sec) N/A 0.204 0.197 0.043 0. 0. 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 190 190 342 532 0 0 0 0
normalized size 1 1. 1.8 2.8 0. 0. 0. 0.
time (sec) N/A 0.248 0.788 0.067 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 167 167 248 403 0 0 0 0
normalized size 1 1. 1.49 2.41 0. 0. 0. 0.
time (sec) N/A 0.251 0.761 0.09 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 291 291 732 716 0 0 0 0
normalized size 1 1. 2.52 2.46 0. 0. 0. 0.
time (sec) N/A 0.394 7.691 0.124 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 287 654 0 2390 2876 1353
normalized size 1 1. 0.8 1.83 0. 6.69 8.06 3.79
time (sec) N/A 0.64 0.474 0.048 0. 3.216 31.082 1.424
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 289 289 235 440 0 1643 1889 1053
normalized size 1 1. 0.81 1.52 0. 5.69 6.54 3.64
time (sec) N/A 0.482 0.598 0.038 0. 2.866 13.975 1.394
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 163 412 0 1045 1027 751
normalized size 1 1. 0.82 2.08 0. 5.28 5.19 3.79
time (sec) N/A 0.306 0.263 0.04 0. 2.586 6.882 1.34
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 115 255 0 540 444 444
normalized size 1 1. 0.97 2.14 0. 4.54 3.73 3.73
time (sec) N/A 0.159 0.13 0.035 0. 2.375 2.546 1.192
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 439 1295 0 0 0 0
normalized size 1 1. 2.17 6.41 0. 0. 0. 0.
time (sec) N/A 0.234 0.377 0.045 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 575 911 0 0 0 0
normalized size 1 1. 2.13 3.37 0. 0. 0. 0.
time (sec) N/A 0.313 1.756 0.076 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 198 198 385 747 0 0 0 0
normalized size 1 1. 1.94 3.77 0. 0. 0. 0.
time (sec) N/A 0.32 1.208 0.085 0. 0. 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 439 439 1274 1327 0 0 0 0
normalized size 1 1. 2.9 3.02 0. 0. 0. 0.
time (sec) N/A 0.576 10.408 0.128 0. 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 150 367 0 749 663 651
normalized size 1 1. 0.91 2.24 0. 4.57 4.04 3.97
time (sec) N/A 0.209 0.2 0.038 0. 2.4 5.195 1.219
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 209 150 155 0 0 0 549
normalized size 1 0.98 0.7 0.73 0. 0. 0. 2.58
time (sec) N/A 0.408 0.323 0.038 0. 0. 0. 1.269
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 109 112 0 0 0 363
normalized size 1 1. 0.75 0.77 0. 0. 0. 2.5
time (sec) N/A 0.314 0.236 0.034 0. 0. 0. 1.218
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 137 102 103 0 0 0 266
normalized size 1 0.97 0.72 0.73 0. 0. 0. 1.89
time (sec) N/A 0.278 0.19 0.034 0. 0. 0. 1.234
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 61 60 0 0 0 132
normalized size 1 1. 0.88 0.87 0. 0. 0. 1.91
time (sec) N/A 0.145 0.085 0.03 0. 0. 0. 1.223
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 48 52 0 0 0 72
normalized size 1 1. 0.84 0.91 0. 0. 0. 1.26
time (sec) N/A 0.084 0.08 0.03 0. 0. 0. 1.156
Problem 220 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 0.064 0.778 0.095 0. 0. 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 254 283 396 0 0 0 1855
normalized size 1 0.98 1.1 1.53 0. 0. 0. 7.19
time (sec) N/A 0.368 1.163 0.055 0. 0. 0. 1.529
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 220 281 0 0 0 1229
normalized size 1 1. 1.16 1.48 0. 0. 0. 6.47
time (sec) N/A 0.295 0.876 0.039 0. 0. 0. 1.491
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 182 140 266 0 0 0 923
normalized size 1 0.98 0.75 1.43 0. 0. 0. 4.96
time (sec) N/A 0.265 0.784 0.048 0. 0. 0. 1.464
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 99 151 0 0 0 470
normalized size 1 1. 0.95 1.45 0. 0. 0. 4.52
time (sec) N/A 0.141 0.294 0.033 0. 0. 0. 1.443
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 89 182 83 0 0 0 290
normalized size 1 0.96 1.96 0.89 0. 0. 0. 3.12
time (sec) N/A 0.172 0.287 0.034 0. 0. 0. 1.173
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.059 2.562 0.088 0. 0. 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 318 317 720 0 0 0 4232
normalized size 1 0.99 0.98 2.24 0. 0. 0. 13.14
time (sec) N/A 0.862 1.479 0.064 0. 0. 0. 2.102
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 249 249 181 506 0 0 0 2928
normalized size 1 1. 0.73 2.03 0. 0. 0. 11.76
time (sec) N/A 0.66 0.705 0.044 0. 0. 0. 2.014
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 306 219 474 0 0 0 2183
normalized size 1 1.23 0.88 1.91 0. 0. 0. 8.8
time (sec) N/A 0.578 0.799 0.053 0. 0. 0. 1.997
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 107 263 0 0 0 1218
normalized size 1 1. 0.68 1.68 0. 0. 0. 7.76
time (sec) N/A 0.33 0.571 0.035 0. 0. 0. 1.847
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 100 158 0 0 0 738
normalized size 1 1. 0.79 1.24 0. 0. 0. 5.81
time (sec) N/A 0.172 0.621 0.036 0. 0. 0. 1.231
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.058 1.052 0.102 0. 0. 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 412 414 1138 0 0 0 7835
normalized size 1 0.99 1. 2.74 0. 0. 0. 18.83
time (sec) N/A 0.863 1.642 0.099 0. 0. 0. 2.733
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 346 346 320 782 0 0 0 5392
normalized size 1 1. 0.92 2.26 0. 0. 0. 15.58
time (sec) N/A 0.681 0.994 0.048 0. 0. 0. 2.585
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 333 264 753 0 0 0 4149
normalized size 1 0.99 0.78 2.23 0. 0. 0. 12.31
time (sec) N/A 0.67 1.102 0.088 0. 0. 0. 2.575
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 186 399 0 0 0 2275
normalized size 1 1. 0.89 1.92 0. 0. 0. 10.94
time (sec) N/A 0.331 0.728 0.037 0. 0. 0. 2.295
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 160 134 270 0 0 0 1501
normalized size 1 0.98 0.82 1.65 0. 0. 0. 9.15
time (sec) N/A 0.268 0.309 0.065 0. 0. 0. 1.295
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) 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 0.059 5.787 0.521 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 156 387 0 0 0 2585
normalized size 1 1. 0.82 2.03 0. 0. 0. 13.53
time (sec) N/A 0.282 0.414 0.075 0. 0. 0. 1.263
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 288 288 269 374 0 0 0 586
normalized size 1 1. 0.93 1.3 0. 0. 0. 2.03
time (sec) N/A 0.724 0.185 0.099 0. 0. 0. 2.037
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 274 274 269 389 0 0 0 625
normalized size 1 1. 0.98 1.42 0. 0. 0. 2.28
time (sec) N/A 0.748 0.288 0.103 0. 0. 0. 2.179
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 154 190 0 0 0 275
normalized size 1 1. 0.99 1.22 0. 0. 0. 1.76
time (sec) N/A 0.424 0.075 0.074 0. 0. 0. 1.824
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 133 133 129 194 0 0 0 301
normalized size 1 1. 0.97 1.46 0. 0. 0. 2.26
time (sec) N/A 0.273 0.057 0. 0. 0. 0. 1.462
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 2.32 0.091 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 380 380 273 582 0 0 0 1890
normalized size 1 1. 0.72 1.53 0. 0. 0. 4.97
time (sec) N/A 1.124 0.186 0.12 0. 0. 0. 2.274
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 361 361 268 593 0 0 0 2016
normalized size 1 1. 0.74 1.64 0. 0. 0. 5.58
time (sec) N/A 1.033 0.272 0.122 0. 0. 0. 2.927
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 199 199 137 294 0 0 0 894
normalized size 1 1. 0.69 1.48 0. 0. 0. 4.49
time (sec) N/A 0.493 0.062 0.088 0. 0. 0. 1.763
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 175 175 313 296 0 0 0 980
normalized size 1 1. 1.79 1.69 0. 0. 0. 5.6
time (sec) N/A 0.263 2.906 0. 0. 0. 0. 1.876
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 1.925 0.09 0. 0. 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 475 475 269 864 0 0 0 3783
normalized size 1 1. 0.57 1.82 0. 0. 0. 7.96
time (sec) N/A 1.6 0.285 0.142 0. 0. 0. 3.186
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 249 873 0 0 0 3895
normalized size 1 1. 0.58 2.04 0. 0. 0. 9.12
time (sec) N/A 1.325 0.259 0.145 0. 0. 0. 4.176
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 256 256 154 435 0 0 0 1848
normalized size 1 1. 0.6 1.7 0. 0. 0. 7.22
time (sec) N/A 0.719 0.094 0.095 0. 0. 0. 2.179
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 432 433 0 0 0 1766
normalized size 1 1. 2.12 2.12 0. 0. 0. 8.66
time (sec) N/A 0.416 1.572 0. 0. 0. 0. 2.478
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.094 1.386 0.089 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 518 518 267 1228 0 0 0 5272
normalized size 1 1. 0.52 2.37 0. 0. 0. 10.18
time (sec) N/A 1.615 0.314 0.172 0. 0. 0. 6.113
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 301 301 137 622 0 0 0 2728
normalized size 1 1. 0.46 2.07 0. 0. 0. 9.06
time (sec) N/A 0.763 0.062 0.116 0. 0. 0. 2.734
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 551 608 0 0 0 2175
normalized size 1 1. 2.27 2.5 0. 0. 0. 8.95
time (sec) N/A 0.41 2.005 0. 0. 0. 0. 3.281
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.095 1.355 0.195 0. 0. 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 365 365 370 263 0 0 0 694
normalized size 1 1. 1.01 0.72 0. 0. 0. 1.9
time (sec) N/A 0.916 0.246 0.086 0. 0. 0. 2.502
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 249 169 0 0 0 441
normalized size 1 1. 1.07 0.73 0. 0. 0. 1.89
time (sec) N/A 0.517 0.137 0.066 0. 0. 0. 2.278
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 249 179 0 0 0 473
normalized size 1 1. 1.02 0.74 0. 0. 0. 1.95
time (sec) N/A 0.567 0.253 0.061 0. 0. 0. 2.357
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 134 85 0 0 0 204
normalized size 1 1. 1.28 0.81 0. 0. 0. 1.94
time (sec) N/A 0.235 0.064 0.042 0. 0. 0. 2.13
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F(-2) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 105 105 0 87 0 0 0 230
normalized size 1 1. 0. 0.83 0. 0. 0. 2.19
time (sec) N/A 0.128 0.032 0. 0. 0. 0. 1.887
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.071 0.088 0. 0. 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 412 412 572 478 0 0 0 0
normalized size 1 1. 1.39 1.16 0. 0. 0. 0.
time (sec) N/A 0.866 0.649 0.117 0. 0. 0. 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 300 307 0 0 0 0
normalized size 1 1. 1.11 1.14 0. 0. 0. 0.
time (sec) N/A 0.516 0.31 0.092 0. 0. 0. 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 280 280 380 320 0 0 0 0
normalized size 1 1. 1.36 1.14 0. 0. 0. 0.
time (sec) N/A 0.549 0.388 0.093 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 168 156 0 0 0 0
normalized size 1 1. 1.17 1.08 0. 0. 0. 0.
time (sec) N/A 0.231 0.148 0.073 0. 0. 0. 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 144 144 0 161 0 0 0 0
normalized size 1 1. 0. 1.12 0. 0. 0. 0.
time (sec) N/A 0.287 0.035 0. 0. 0. 0. 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.077 0.194 0. 0. 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 344 344 351 689 0 0 0 0
normalized size 1 1. 1.02 2. 0. 0. 0. 0.
time (sec) N/A 1.173 2.021 0.117 0. 0. 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 342 342 411 721 0 0 0 0
normalized size 1 1. 1.2 2.11 0. 0. 0. 0.
time (sec) N/A 1.054 1.841 0.121 0. 0. 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 207 207 192 342 0 0 0 0
normalized size 1 1. 0.93 1.65 0. 0. 0. 0.
time (sec) N/A 0.536 1.18 0.086 0. 0. 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 179 179 0 355 0 0 0 0
normalized size 1 1. 0. 1.98 0. 0. 0. 0.
time (sec) N/A 0.281 0.035 0. 0. 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.079 0.186 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 442 442 445 1181 0 0 0 0
normalized size 1 1. 1.01 2.67 0. 0. 0. 0.
time (sec) N/A 1.137 2.286 0.148 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 441 441 538 1229 0 0 0 0
normalized size 1 1. 1.22 2.79 0. 0. 0. 0.
time (sec) N/A 1.198 1.779 0.155 0. 0. 0. 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 252 252 254 583 0 0 0 0
normalized size 1 1. 1.01 2.31 0. 0. 0. 0.
time (sec) N/A 0.541 1.003 0.102 0. 0. 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 218 218 287 600 0 0 0 0
normalized size 1 1. 1.32 2.75 0. 0. 0. 0.
time (sec) N/A 0.452 0.244 0. 0. 0. 0. 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.085 0.191 0. 0. 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 115 228 0 0 0 0
normalized size 1 1. 0.74 1.46 0. 0. 0. 0.
time (sec) N/A 0.124 0.222 0.027 0. 0. 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 115 206 0 0 0 0
normalized size 1 1. 0.85 1.51 0. 0. 0. 0.
time (sec) N/A 0.113 0.161 0.009 0. 0. 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 87 194 0 0 156 0
normalized size 1 1. 0.74 1.66 0. 0. 1.33 0.
time (sec) N/A 0.097 0.048 0.009 0. 0. 39.786 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 87 172 0 0 104 0
normalized size 1 1. 0.88 1.74 0. 0. 1.05 0.
time (sec) N/A 0.081 0.032 0.011 0. 0. 2.516 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 59 149 0 0 0 0
normalized size 1 1. 0.73 1.84 0. 0. 0. 0.
time (sec) N/A 0.076 0.031 0.008 0. 0. 0. 0.
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 54 132 0 0 0 0
normalized size 1 1. 0.89 2.16 0. 0. 0. 0.
time (sec) N/A 0.068 0.024 0.01 0. 0. 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 56 190 0 0 0 0
normalized size 1 1. 0.46 1.56 0. 0. 0. 0.
time (sec) N/A 0.105 0.03 0.011 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 59 169 0 0 0 0
normalized size 1 1. 0.58 1.66 0. 0. 0. 0.
time (sec) N/A 0.091 0.036 0.014 0. 0. 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 66 225 0 0 0 0
normalized size 1 1. 0.42 1.42 0. 0. 0. 0.
time (sec) N/A 0.128 0.044 0.015 0. 0. 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 66 203 0 0 0 0
normalized size 1 1. 0.47 1.46 0. 0. 0. 0.
time (sec) N/A 0.114 0.045 0.017 0. 0. 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 114 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.205 0.108 0.3 0. 0. 0. 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 106 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.206 0.118 0.293 0. 0. 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 107 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.206 0.107 0.293 0. 0. 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 107 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.197 0.09 0.306 0. 0. 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 107 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.193 0.081 0.42 0. 0. 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 104 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.201 0.074 0.301 0. 0. 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 102 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.213 0.08 0.301 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 106 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.217 0.078 0.301 0. 0. 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 114 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.216 0.088 0.299 0. 0. 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.197 180.002 0.313 0. 0. 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-2) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.184 21.125 0.284 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.192 40.753 0.299 0. 0. 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 25.512 0.303 0. 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A F A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 83 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 180.002 0.314 0. 0. 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-2) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.179 14.197 0.286 0. 0. 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.189 52.354 0.303 0. 0. 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 83 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 41.054 0.302 0. 0. 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.187 2.869 1.517 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.179 1.828 1.286 0. 0. 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 151 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.136 1.165 0. 0. 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 77 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.042 1.263 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 1.444 0.767 0. 0. 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 133 215 0 278 0 219
normalized size 1 1. 0.99 1.59 0. 2.06 0. 1.62
time (sec) N/A 0.193 0.124 0.085 0. 2.311 0. 1.293
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 116 179 0 223 0 169
normalized size 1 1. 1.05 1.61 0. 2.01 0. 1.52
time (sec) N/A 0.127 0.099 0.059 0. 2.386 0. 1.271
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 64 96 0 153 0 107
normalized size 1 1. 1.02 1.52 0. 2.43 0. 1.7
time (sec) N/A 0.07 0.06 0.054 0. 2.462 0. 1.206
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 24 28 0 0 0 36
normalized size 1 1. 0.77 0.9 0. 0. 0. 1.16
time (sec) N/A 0.122 0.067 0.053 0. 0. 0. 1.209
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 46 42 0 0 0 59
normalized size 1 1. 1.18 1.08 0. 0. 0. 1.51
time (sec) N/A 0.114 0.058 0.051 0. 0. 0. 1.271
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 88 61 0 0 0 113
normalized size 1 1. 1.21 0.84 0. 0. 0. 1.55
time (sec) N/A 0.113 0.27 0.05 0. 0. 0. 1.377
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 117 81 0 0 0 173
normalized size 1 1. 1.02 0.7 0. 0. 0. 1.5
time (sec) N/A 0.224 0.111 0.053 0. 0. 0. 1.343
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 272 628 0 574 694 400
normalized size 1 1. 1.11 2.56 0. 2.34 2.83 1.63
time (sec) N/A 0.325 0.216 0.094 0. 2.506 26.91 1.312
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 216 515 0 433 568 306
normalized size 1 1. 1.09 2.59 0. 2.18 2.85 1.54
time (sec) N/A 0.204 0.178 0.083 0. 2.445 13.481 1.265
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 129 277 0 285 298 190
normalized size 1 1. 1.17 2.52 0. 2.59 2.71 1.73
time (sec) N/A 0.106 0.068 0.061 0. 2.359 7.822 1.251
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 37 42 0 0 0 55
normalized size 1 1. 0.79 0.89 0. 0. 0. 1.17
time (sec) N/A 0.138 0.314 0.052 0. 0. 0. 1.211
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 70 70 0 0 0 82
normalized size 1 1. 1.23 1.23 0. 0. 0. 1.44
time (sec) N/A 0.152 0.314 0.051 0. 0. 0. 1.275
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 110 108 0 0 0 136
normalized size 1 1. 1.22 1.2 0. 0. 0. 1.51
time (sec) N/A 0.284 0.435 0.054 0. 0. 0. 1.307
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 143 148 0 0 0 220
normalized size 1 1. 0.92 0.95 0. 0. 0. 1.42
time (sec) N/A 0.345 0.443 0.056 0. 0. 0. 1.333
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 20 0 61 60 26
normalized size 1 1. 1. 1.05 0. 3.21 3.16 1.37
time (sec) N/A 0.075 0.028 0.06 0. 3.096 1.48 1.327
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 34 26 18
normalized size 1 1. 1. 0.93 0. 2.27 1.73 1.2
time (sec) N/A 0.071 0.02 0.046 0. 2.435 0.881 1.343
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 34 24 18
normalized size 1 1. 1. 0.93 0. 2.27 1.6 1.2
time (sec) N/A 0.041 0.018 0.044 0. 2.611 0.761 1.24
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 0 34 22 16
normalized size 1 1. 1. 1.09 0. 3.09 2. 1.45
time (sec) N/A 0.076 0.033 0.046 0. 2.238 1.046 1.254
Problem 331 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 13 13 13 14 45 32 26 18
normalized size 1 1. 1. 1.08 3.46 2.46 2. 1.38
time (sec) N/A 0.075 0.014 0.046 2.684 2.141 1.586 1.25
Problem 332 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 15 15 15 14 45 38 29 18
normalized size 1 1. 1. 0.93 3. 2.53 1.93 1.2
time (sec) N/A 0.07 0.015 0.044 82.645 2.063 2.265 1.299
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 144 235 0 0 0 0
normalized size 1 1. 1.12 1.84 0. 0. 0. 0.
time (sec) N/A 0.207 0.572 0.122 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 114 194 0 0 0 0
normalized size 1 1. 1.18 2. 0. 0. 0. 0.
time (sec) N/A 0.163 0.355 0.106 0. 0. 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 66 155 0 232 0 112
normalized size 1 1. 1.32 3.1 0. 4.64 0. 2.24
time (sec) N/A 0.06 0.096 0.056 0. 2.376 0. 1.282
Problem 336 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 0.082 0.743 0.176 0. 0. 0. 0.
Problem 337 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 58 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.125 10.941 0.148 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 80 0 0 0 0
normalized size 1 1. 1. 1.74 0. 0. 0. 0.
time (sec) N/A 0.158 0.101 0.052 0. 0. 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 54 80 0 0 0 0
normalized size 1 1. 1.17 1.74 0. 0. 0. 0.
time (sec) N/A 0.084 0.041 0.035 0. 0. 0. 0.
Problem 340 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 84 84 60 71 103 151 90 189
normalized size 1 1. 0.71 0.85 1.23 1.8 1.07 2.25
time (sec) N/A 0.065 0.055 0.025 1.605 2.332 31.188 1.224
Problem 341 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 82 82 87 95 176 144 85 149
normalized size 1 1. 1.06 1.16 2.15 1.76 1.04 1.82
time (sec) N/A 0.061 0.032 0.024 1.436 2.282 12.847 1.132
Problem 342 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 62 62 70 62 80 123 65 117
normalized size 1 1. 1.13 1. 1.29 1.98 1.05 1.89
time (sec) N/A 0.048 0.04 0.012 1.457 2.392 4.022 1.154
Problem 343 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 57 57 62 74 119 116 60 80
normalized size 1 1. 1.09 1.3 2.09 2.04 1.05 1.4
time (sec) N/A 0.044 0.023 0.013 1.422 2.522 1.15 1.167
Problem 344 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 45 45 43 39 50 86 42 51
normalized size 1 1. 0.96 0.87 1.11 1.91 0.93 1.13
time (sec) N/A 0.039 0.008 0.002 1.476 2.518 0.249 1.157
Problem 345 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 69 69 64 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.034 0.076 0. 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 44 38 77 151 54 478
normalized size 1 1. 1.13 0.97 1.97 3.87 1.38 12.26
time (sec) N/A 0.033 0.006 0.01 1.433 2.477 2.018 1.37
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 46 54 51 92 70 238
normalized size 1 1. 1.12 1.32 1.24 2.24 1.71 5.8
time (sec) N/A 0.026 0.016 0.013 1.414 2.506 2.385 1.23
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 69 61 109 200 128 406
normalized size 1 1. 1.08 0.95 1.7 3.12 2. 6.34
time (sec) N/A 0.047 0.021 0.011 1.433 2.835 6.348 2.003
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 60 64 82 123 112 462
normalized size 1 1. 0.91 0.97 1.24 1.86 1.7 7.
time (sec) N/A 0.037 0.035 0.011 1.433 3.075 11.542 1.231
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 63 84 169 238 201 630
normalized size 1 1. 0.71 0.94 1.9 2.67 2.26 7.08
time (sec) N/A 0.063 0.02 0.014 1.435 3.495 29.21 4.12
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 68 72 111 154 170 680
normalized size 1 1. 0.75 0.79 1.22 1.69 1.87 7.47
time (sec) N/A 0.046 0.047 0.012 1.427 3.696 56.137 1.255
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 82 108 0 0 58 0
normalized size 1 1. 0.95 1.26 0. 0. 0.67 0.
time (sec) N/A 0.05 0.2 0.009 0. 0. 4.859 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 93 101 0 0 58 0
normalized size 1 1. 1.12 1.22 0. 0. 0.7 0.
time (sec) N/A 0.061 0.232 0.007 0. 0. 2.57 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 72 88 0 0 58 0
normalized size 1 1. 1.18 1.44 0. 0. 0.95 0.
time (sec) N/A 0.035 0.144 0.008 0. 0. 1.913 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 39 71 0 0 49 0
normalized size 1 1. 0.8 1.45 0. 0. 1. 0.
time (sec) N/A 0.043 0.005 0.006 0. 0. 1.138 0.
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 44 66 0 0 49 0
normalized size 1 1. 1.29 1.94 0. 0. 1.44 0.
time (sec) N/A 0.022 0.052 0.007 0. 0. 1.4 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 89 97 0 0 60 0
normalized size 1 1. 1.1 1.2 0. 0. 0.74 0.
time (sec) N/A 0.058 0.181 0.012 0. 0. 2.02 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 72 87 0 0 61 0
normalized size 1 1. 1.18 1.43 0. 0. 1. 0.
time (sec) N/A 0.034 0.133 0.01 0. 0. 3.445 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 100 118 0 0 65 0
normalized size 1 1. 0.94 1.11 0. 0. 0.61 0.
time (sec) N/A 0.074 0.24 0.013 0. 0. 7.611 0.
Problem 360 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 62 62 58 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.063 0.036 0.051 0. 0. 0. 0.
Problem 361 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 78 78 64 53 70 113 73 104
normalized size 1 1. 0.82 0.68 0.9 1.45 0.94 1.33
time (sec) N/A 0.03 0.035 0.011 1.427 2.368 10.533 1.175
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 47 41 54 97 58 68
normalized size 1 1. 0.78 0.68 0.9 1.62 0.97 1.13
time (sec) N/A 0.021 0.024 0.003 1.418 2.193 4.151 1.129
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 34 26 34 78 29 36
normalized size 1 1. 0.92 0.7 0.92 2.11 0.78 0.97
time (sec) N/A 0.012 0.013 0.004 1.43 2.213 0.365 1.144
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 53 97 0 0 0 0
normalized size 1 1. 0.95 1.73 0. 0. 0. 0.
time (sec) N/A 0.061 0.031 0.038 0. 0. 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 23 23 30 61 42 54
normalized size 1 1. 0.82 0.82 1.07 2.18 1.5 1.93
time (sec) N/A 0.013 0.013 0.003 1.411 2.37 4.399 1.208
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 32 35 46 85 42 100
normalized size 1 1. 0.64 0.7 0.92 1.7 0.84 2.
time (sec) N/A 0.018 0.029 0.003 1.419 2.292 28.982 1.145
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 44 47 62 99 58 143
normalized size 1 1. 0.65 0.69 0.91 1.46 0.85 2.1
time (sec) N/A 0.022 0.025 0.004 1.416 2.257 97.719 1.225
Problem 368 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 86 86 49 59 78 112 0 186
normalized size 1 1. 0.57 0.69 0.91 1.3 0. 2.16
time (sec) N/A 0.029 0.028 0.005 1.424 2.294 0. 1.139
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 91 88 169 262 177 0
normalized size 1 1. 1.02 0.99 1.9 2.94 1.99 0.
time (sec) N/A 0.059 0.071 0.018 1.43 2.595 10.272 0.
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 59 71 80 117 109 0
normalized size 1 1. 0.92 1.11 1.25 1.83 1.7 0.
time (sec) N/A 0.038 0.041 0.006 1.419 2.442 5.07 0.
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 79 68 109 235 109 0
normalized size 1 1. 1.23 1.06 1.7 3.67 1.7 0.
time (sec) N/A 0.043 0.034 0.005 1.431 2.5 4.795 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 47 51 49 95 60 0
normalized size 1 1. 1.21 1.31 1.26 2.44 1.54 0.
time (sec) N/A 0.017 0.028 0.006 1.42 2.367 2.666 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 89 37 70 158 34 68
normalized size 1 1. 2.87 1.19 2.26 5.1 1.1 2.19
time (sec) N/A 0.022 0.089 0.005 1.411 2.488 2.508 1.171
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 61 141 0 0 0 0
normalized size 1 1. 0.91 2.1 0. 0. 0. 0.
time (sec) N/A 0.092 0.034 0.004 0. 0. 0. 0.
Problem 375 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 39 39 39 39 50 82 32 51
normalized size 1 1. 1. 1. 1.28 2.1 0.82 1.31
time (sec) N/A 0.036 0.023 0.003 1.402 2.199 2.596 1.164
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 65 59 116 120 114 0
normalized size 1 1. 1.14 1.04 2.04 2.11 2. 0.
time (sec) N/A 0.043 0.031 0.005 1.42 2.259 4.738 0.
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 60 67 78 126 114 0
normalized size 1 1. 0.97 1.08 1.26 2.03 1.84 0.
time (sec) N/A 0.047 0.055 0.006 1.435 2.268 5.57 0.
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 77 79 170 149 182 0
normalized size 1 1. 0.94 0.96 2.07 1.82 2.22 0.
time (sec) N/A 0.055 0.05 0.004 1.431 2.233 10.475 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 78 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.051 0.11 0.087 0. 0. 0. 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 75 0 0 0 66 0
normalized size 1 1. 1.1 0. 0. 0. 0.97 0.
time (sec) N/A 0.041 0.058 0.029 0. 0. 19.596 0.
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 75 0 0 0 60 0
normalized size 1 1. 1.09 0. 0. 0. 0.87 0.
time (sec) N/A 0.033 0.056 0.015 0. 0. 7.21 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 0 0 0 56 0
normalized size 1 1. 1. 0. 0. 0. 0.93 0.
time (sec) N/A 0.035 0.033 0.019 0. 0. 3.226 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 157 164 0 0 0 0
normalized size 1 1. 2.09 2.19 0. 0. 0. 0.
time (sec) N/A 0.104 0.172 0.004 0. 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) F(-2) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 68 0 0 0 60 0
normalized size 1 1. 0.99 0. 0. 0. 0.87 0.
time (sec) N/A 0.043 0.072 0.016 0. 0. 8.225 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 75 0 0 0 61 0
normalized size 1 1. 1.04 0. 0. 0. 0.85 0.
time (sec) N/A 0.045 0.053 0.017 0. 0. 23.839 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 116 258 0 219 204 297
normalized size 1 1. 0.9 2. 0. 1.7 1.58 2.3
time (sec) N/A 0.155 0.112 0.054 0. 2.297 4.718 1.165
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 98 191 0 173 133 176
normalized size 1 1. 0.85 1.66 0. 1.5 1.16 1.53
time (sec) N/A 0.13 0.079 0.016 0. 2.341 1.37 1.134
Problem 388 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 57 57 70 50 61 127 76 66
normalized size 1 1. 1.23 0.88 1.07 2.23 1.33 1.16
time (sec) N/A 0.061 0.049 0.003 1.537 2.32 0.285 1.144
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 230 0 0 0 0 0
normalized size 1 1. 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.376 0.02 0.135 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 81 89 0 640 0 0
normalized size 1 1. 0.9 0.99 0. 7.11 0. 0.
time (sec) N/A 0.092 0.077 0.013 0. 3.035 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 150 132 0 884 0 0
normalized size 1 1. 1.09 0.96 0. 6.45 0. 0.
time (sec) N/A 0.135 0.289 0.015 0. 3.515 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 176 246 0 1102 0 0
normalized size 1 1. 0.93 1.29 0. 5.8 0. 0.
time (sec) N/A 0.225 0.252 0.016 0. 4.911 0. 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 336 336 0 346 0 0 0 0
normalized size 1 1. 0. 1.03 0. 0. 0. 0.
time (sec) N/A 0.418 0.753 0.022 0. 0. 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 287 287 0 295 0 0 0 0
normalized size 1 1. 0. 1.03 0. 0. 0. 0.
time (sec) N/A 0.288 0.573 0.01 0. 0. 0. 0.
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 237 237 155 153 0 0 0 0
normalized size 1 1. 0.65 0.65 0. 0. 0. 0.
time (sec) N/A 0.223 0.141 0.009 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 140 114 0 0 0 0
normalized size 1 1. 1.11 0.9 0. 0. 0. 0.
time (sec) N/A 0.076 0.23 0.01 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 243 207 0 0 0 0
normalized size 1 1. 0.86 0.73 0. 0. 0. 0.
time (sec) N/A 0.253 0.397 0.013 0. 0. 0. 0.
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 355 355 0 346 0 0 0 0
normalized size 1 1. 0. 0.97 0. 0. 0. 0.
time (sec) N/A 0.356 0.798 0.016 0. 0. 0. 0.
Problem 399 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 47 47 41 38 50 105 61 50
normalized size 1 1. 0.87 0.81 1.06 2.23 1.3 1.06
time (sec) N/A 0.058 0.027 0.003 1.499 2.305 1.04 1.17
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 47 0 53 132 0 53
normalized size 1 1. 1. 0. 1.13 2.81 0. 1.13
time (sec) N/A 0.053 0.035 0.066 1.468 2.544 0. 1.15
Problem 401 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 127 127 123 0 0 474 0 0
normalized size 1 1. 0.97 0. 0. 3.73 0. 0.
time (sec) N/A 0.031 0.104 0.126 0. 2.453 0. 0.
Problem 402 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 110 110 162 0 0 328 0 0
normalized size 1 1. 1.47 0. 0. 2.98 0. 0.
time (sec) N/A 0.058 0.116 0.102 0. 2.248 0. 0.
Problem 403 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 63 63 63 0 0 205 0 0
normalized size 1 1. 1. 0. 0. 3.25 0. 0.
time (sec) N/A 0.012 0.014 0.102 0. 2.348 0. 0.
Problem 404 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 43 43 41 45 61 103 0 81
normalized size 1 1. 0.95 1.05 1.42 2.4 0. 1.88
time (sec) N/A 0.038 0.026 0.008 1.512 2.289 0. 1.14
Problem 405 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 159 159 120 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.68 0.057 0. 0. 0. 0.
Problem 406 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 205 205 164 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.026 1.332 0.058 0. 0. 0. 0.
Problem 407 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 227 227 187 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.536 0.057 0. 0. 0. 0.
Problem 408 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 135 135 131 0 0 474 0 0
normalized size 1 1. 0.97 0. 0. 3.51 0. 0.
time (sec) N/A 0.031 0.111 0.105 0. 2.333 0. 0.
Problem 409 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 115 115 166 0 0 328 0 0
normalized size 1 1. 1.44 0. 0. 2.85 0. 0.
time (sec) N/A 0.061 0.116 0.103 0. 2.281 0. 0.
Problem 410 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 67 67 67 0 0 205 0 0
normalized size 1 1. 1. 0. 0. 3.06 0. 0.
time (sec) N/A 0.012 0.02 0.104 0. 2.27 0. 0.
Problem 411 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 45 45 43 45 61 103 0 74
normalized size 1 1. 0.96 1. 1.36 2.29 0. 1.64
time (sec) N/A 0.039 0.027 0.01 1.513 2.248 0. 1.167
Problem 412 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 168 168 130 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.195 0.059 0. 0. 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 216 216 183 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.359 0.057 0. 0. 0. 0.
Problem 414 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 240 240 195 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.477 0.059 0. 0. 0. 0.
Problem 415 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 40 40 40 0 0 84 0 0
normalized size 1 1. 1. 0. 0. 2.1 0. 0.
time (sec) N/A 0.006 0.013 0.052 0. 2.262 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 0 0 100 0 77
normalized size 1 1. 1. 0. 0. 2.27 0. 1.75
time (sec) N/A 0.007 0.015 0.053 0. 1.992 0. 1.211
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 269 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.261 0.069 0. 0. 0. 0.
Problem 418 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 247 247 249 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.361 0.059 0. 0. 0. 0.
Problem 419 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 210 210 207 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.024 0.051 0.06 0. 0. 0. 0.
Problem 420 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 185 185 143 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.036 0.059 0. 0. 0. 0.
Problem 421 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 238 238 238 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.584 0.056 0. 0. 0. 0.
Problem 422 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 261 261 247 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.495 0.059 0. 0. 0. 0.
Problem 423 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 317 317 297 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.811 0.057 0. 0. 0. 0.
Problem 424 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 299 299 292 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.132 0.298 0.062 0. 0. 0. 0.
Problem 425 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 267 267 265 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.387 0.057 0. 0. 0. 0.
Problem 426 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 228 228 225 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.051 0.059 0. 0. 0. 0.
Problem 427 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 201 201 155 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.048 0.059 0. 0. 0. 0.
Problem 428 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 256 256 256 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.436 0.057 0. 0. 0. 0.
Problem 429 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 281 281 270 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.781 0.061 0. 0. 0. 0.
Problem 430 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 339 339 319 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.905 0.056 0. 0. 0. 0.
Problem 431 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.092 0.703 0. 0. 0. 0.
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 275 275 0 1232 0 0 0 0
normalized size 1 1. 0. 4.48 0. 0. 0. 0.
time (sec) N/A 0.224 0.298 0.799 0. 0. 0. 0.
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 205 205 0 681 0 0 0 0
normalized size 1 1. 0. 3.32 0. 0. 0. 0.
time (sec) N/A 0.182 0.691 0.008 0. 0. 0. 0.
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 141 141 0 276 0 0 0 0
normalized size 1 1. 0. 1.96 0. 0. 0. 0.
time (sec) N/A 0.111 1.076 0.006 0. 0. 0. 0.
Problem 435 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.099 0.28 0. 0. 0. 0.
Problem 436 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 1.689 0.277 0. 0. 0. 0.
Problem 437 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 22 22 22 18 23 51 17 23
normalized size 1 1. 1. 0.82 1.05 2.32 0.77 1.05
time (sec) N/A 0.038 0.008 0.009 1.447 2.008 0.829 1.151
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F(-1) F(-2) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 84 84 0 181 0 0 0 0
normalized size 1 1. 0. 2.15 0. 0. 0. 0.
time (sec) N/A 0.071 0.972 0.025 0. 0. 0. 0.
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 50 0 0 130 100 131
normalized size 1 1. 0.62 0. 0. 1.6 1.23 1.62
time (sec) N/A 0.066 0.122 0.016 0. 2.102 5.038 1.197
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 50 0 0 107 80 103
normalized size 1 1. 0.61 0. 0. 1.3 0.98 1.26
time (sec) N/A 0.062 0.114 0.007 0. 2.06 1.819 1.199
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 30 0 0 89 53 72
normalized size 1 1. 0.73 0. 0. 2.17 1.29 1.76
time (sec) N/A 0.034 0.038 0.008 0. 2.11 0.606 1.198
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 31 0 0 68 32 42
normalized size 1 1. 0.79 0. 0. 1.74 0.82 1.08
time (sec) N/A 0.014 0.023 0.007 0. 1.993 0.214 1.198
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 43 43 75 0 0 0 0 0
normalized size 1 1. 1.74 0. 0. 0. 0. 0.
time (sec) N/A 0.057 0.05 0.008 0. 0. 0. 0.
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 54 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.094 0.01 0. 0. 0. 0.
Problem 445 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 101 101 67 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.123 0.078 0.01 0. 0. 0. 0.
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 84 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.085 0.008 0. 0. 0. 0.
Problem 447 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 49 49 36 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.026 0.006 0. 0. 0. 0.
Problem 448 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 65 65 48 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.05 0.032 0.006 0. 0. 0. 0.
Problem 449 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 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.187 0.009 0. 0. 0. 0.
Problem 450 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 1.629 0.007 0. 0. 0. 0.
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 148 0 0 308 416 451
normalized size 1 1. 0.48 0. 0. 1. 1.35 1.46
time (sec) N/A 0.527 0.412 0.012 0. 2.231 6.173 1.263
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 103 0 0 198 243 281
normalized size 1 1. 0.5 0. 0. 0.97 1.19 1.37
time (sec) N/A 0.364 0.22 0.01 0. 2.019 2.33 1.195
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 59 0 0 153 146 146
normalized size 1 1. 0.58 0. 0. 1.51 1.45 1.45
time (sec) N/A 0.184 0.146 0.007 0. 2.058 0.724 1.266
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 35 0 0 100 65 58
normalized size 1 1. 0.69 0. 0. 1.96 1.27 1.14
time (sec) N/A 0.02 0.016 0.007 0. 2.106 0.247 1.189
Problem 455 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 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.199 0.115 0.007 0. 0. 0. 0.
Problem 456 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.264 0.244 0.007 0. 0. 0. 0.
Problem 457 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 381 381 221 0 0 0 0 0
normalized size 1 1. 0.58 0. 0. 0. 0. 0.
time (sec) N/A 0.673 0.358 0.011 0. 0. 0. 0.
Problem 458 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 265 265 161 0 0 0 0 0
normalized size 1 1. 0.61 0. 0. 0. 0. 0.
time (sec) N/A 0.474 0.214 0.007 0. 0. 0. 0.
Problem 459 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 123 123 93 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.273 0.106 0.009 0. 0. 0. 0.
Problem 460 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 69 69 52 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.032 0.006 0. 0. 0. 0.
Problem 461 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.197 0.121 0.008 0. 0. 0. 0.
Problem 462 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 0.264 0.461 0.01 0. 0. 0. 0.
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 69 0 0 176 0 193
normalized size 1 1. 0.43 0. 0. 1.09 0. 1.19
time (sec) N/A 0.43 0.334 0.086 0. 2.078 0. 1.204
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 51 0 0 132 95 123
normalized size 1 1. 0.46 0. 0. 1.18 0.85 1.1
time (sec) N/A 0.303 0.15 0.079 0. 2.012 27.392 1.262
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 31 0 0 88 49 68
normalized size 1 1. 0.5 0. 0. 1.42 0.79 1.1
time (sec) N/A 0.207 0.073 0.08 0. 2.038 0.542 1.224
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 10 12 26 8 12
normalized size 1 1. 1. 1. 1.2 2.6 0.8 1.2
time (sec) N/A 0.214 0.015 0.005 1.474 2.18 0.461 1.163
Problem 467 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 45 45 45 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.258 0.068 0.08 0. 0. 0. 0.
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 84 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.289 0.17 0.076 0. 0. 0. 0.
Problem 469 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 47 47 140 47 0 305 0 0
normalized size 1 1. 2.98 1. 0. 6.49 0. 0.
time (sec) N/A 0.033 0.138 0.017 0. 2.524 0. 0.
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F A A F A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 27 0 28 0 1 5 0 1
normalized size 1 0. 1.04 0. 0.04 0.19 0. 0.04
time (sec) N/A 0.039 0.527 0.073 1.519 1.706 0. 1.158
Problem 471 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 38 38 38 0 0 105 0 0
normalized size 1 1. 1. 0. 0. 2.76 0. 0.
time (sec) N/A 0.067 0.045 0.187 0. 2.277 0. 0.
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 26 0 0 68 0 0
normalized size 1 1. 0.87 0. 0. 2.27 0. 0.
time (sec) N/A 0.061 0.023 0.155 0. 1.917 0. 0.
Problem 473 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 16 16 16 17 16 50 12 19
normalized size 1 1. 1. 1.06 1. 3.12 0.75 1.19
time (sec) N/A 0.028 0.023 0.009 1.46 2.088 0.235 1.142
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A A F A A A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 16 0 16 17 0 50 14 27
normalized size 1 0. 1. 1.06 0. 3.12 0.88 1.69
time (sec) N/A 0.157 0.093 0.004 0. 1.985 4.306 1.223

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 [152] had the largest ratio of [ 1.2 ]

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 5 1. 16 0.312
2 A 4 4 1. 16 0.25
3 A 4 4 1. 14 0.286
4 A 3 2 1. 8 0.25
5 A 8 5 1. 16 0.312
6 A 3 3 1. 16 0.188
7 A 4 4 1. 16 0.25
8 A 5 5 1. 16 0.312
9 A 18 7 1. 18 0.389
10 A 13 7 1. 18 0.389
11 A 9 7 1. 16 0.438
12 A 3 3 1. 10 0.3
13 A 10 6 1. 18 0.333
14 A 10 7 1. 18 0.389
15 A 13 10 1. 18 0.556
16 A 27 7 1. 18 0.389
17 A 17 6 1. 18 0.333
18 A 11 7 1. 16 0.438
19 A 4 4 1. 10 0.4
20 A 0 0 0. 0 0.
21 A 0 0 0. 0 0.
22 A 19 7 0.98 18 0.389
23 A 11 7 0.98 16 0.438
24 A 5 5 0.95 10 0.5
25 A 0 0 0. 0 0.
26 A 0 0 0. 0 0.
27 A 0 0 0. 0 0.
28 A 3 3 1. 16 0.188
29 A 0 0 0. 0 0.
30 A 0 0 0. 0 0.
31 A 16 12 1. 31 0.387
32 A 13 8 1. 31 0.258
33 A 8 6 1. 29 0.207
34 A 22 19 1. 31 0.613
35 A 35 22 1. 31 0.71
36 A 24 17 1. 31 0.548
37 A 20 12 1. 31 0.387
38 A 12 9 1. 29 0.31
39 A 29 23 1. 31 0.742
40 A 30 18 1. 31 0.581
41 A 26 15 1. 31 0.484
42 A 14 10 1. 29 0.345
43 A 37 28 1. 31 0.903
44 A 13 7 1. 31 0.226
45 A 9 7 1. 31 0.226
46 A 6 5 1. 29 0.172
47 A 10 7 1. 31 0.226
48 A 13 10 1. 31 0.323
49 A 11 10 1. 31 0.323
50 A 8 7 1. 31 0.226
51 A 6 6 1. 29 0.207
52 A 20 11 1. 31 0.355
53 A 13 10 1.43 31 0.323
54 A 10 7 1. 31 0.226
55 A 10 7 1.31 31 0.226
56 A 6 6 1. 29 0.207
57 A 30 12 1. 31 0.387
58 A 37 16 1. 33 0.485
59 A 23 13 1. 33 0.394
60 A 13 11 1. 31 0.355
61 A 38 23 1. 33 0.697
62 A 56 27 1. 33 0.818
63 A 36 21 1. 33 0.636
64 A 19 15 1. 31 0.484
65 A 50 32 1. 33 0.97
66 A 77 32 1. 33 0.97
67 A 50 24 1. 33 0.727
68 A 25 15 1. 31 0.484
69 A 74 35 1. 33 1.061
70 A 17 10 1. 33 0.303
71 A 11 9 1. 33 0.273
72 A 8 6 1.21 31 0.194
73 A 12 8 1. 33 0.242
74 A 20 12 1. 33 0.364
75 A 23 15 1. 33 0.454
76 A 19 13 1. 33 0.394
77 A 16 11 1. 31 0.355
78 A 28 14 1. 33 0.424
79 A 37 12 1. 33 0.364
80 A 30 18 1. 33 0.546
81 A 21 14 1. 31 0.452
82 A 0 0 0. 0 0.
83 A 15 9 1. 35 0.257
84 A 13 9 1. 35 0.257
85 A 11 8 1. 33 0.242
86 A 9 7 1. 25 0.28
87 A 0 0 0. 0 0.
88 A 6 4 1. 21 0.19
89 A 6 5 1. 21 0.238
90 A 5 5 1. 19 0.263
91 A 14 12 1. 21 0.571
92 A 15 13 1. 21 0.619
93 A 7 8 1. 21 0.381
94 A 6 7 1. 21 0.333
95 A 7 7 1. 21 0.333
96 A 8 7 1. 21 0.333
97 A 8 5 0.99 26 0.192
98 A 7 5 1. 26 0.192
99 A 6 5 1. 24 0.208
100 A 15 12 1. 26 0.462
101 A 16 14 1. 26 0.538
102 A 16 14 1. 26 0.538
103 A 6 7 1. 26 0.269
104 A 7 8 1. 26 0.308
105 A 8 8 1. 26 0.308
106 A 9 5 1. 31 0.161
107 A 8 5 1. 31 0.161
108 A 7 5 1. 29 0.172
109 A 16 13 1. 31 0.419
110 A 18 15 1. 31 0.484
111 A 30 18 1. 31 0.581
112 A 29 17 1. 31 0.548
113 A 33 20 1. 23 0.87
114 A 55 25 1. 25 1.
115 A 35 8 1. 28 0.286
116 A 27 8 1. 28 0.286
117 A 20 8 1. 26 0.308
118 A 38 23 1. 28 0.821
119 A 45 25 1. 28 0.893
120 A 20 18 1. 33 0.546
121 A 32 25 1. 35 0.714
122 A 6 6 1. 10 0.6
123 A 5 5 1. 10 0.5
124 A 5 5 1. 8 0.625
125 A 3 3 1. 6 0.5
126 A 9 6 1. 10 0.6
127 A 4 4 1. 10 0.4
128 A 5 5 1. 10 0.5
129 A 6 6 1. 10 0.6
130 A 7 7 1. 10 0.7
131 A 19 8 1. 12 0.667
132 A 14 8 1. 12 0.667
133 A 10 8 1. 10 0.8
134 A 4 4 1. 8 0.5
135 A 11 7 1. 12 0.583
136 A 11 8 0.9 12 0.667
137 A 14 11 1. 12 0.917
138 A 18 11 1. 12 0.917
139 A 12 10 1. 10 1.
140 A 5 4 1. 8 0.5
141 A 13 8 1. 12 0.667
142 A 13 9 1. 12 0.75
143 A 14 8 1. 12 0.667
144 A 10 8 1. 10 0.8
145 A 3 3 1. 8 0.375
146 A 0 0 0. 0 0.
147 A 12 7 1.92 12 0.583
148 A 8 7 1.58 10 0.7
149 A 4 4 1. 8 0.5
150 A 0 0 0. 0 0.
151 A 24 12 1.49 12 1.
152 A 14 12 1.4 10 1.2
153 A 5 5 1. 8 0.625
154 A 0 0 0. 0 0.
155 A 23 12 1. 18 0.667
156 A 14 10 1. 16 0.625
157 A 8 8 1. 14 0.571
158 A 16 10 1. 16 0.625
159 A 9 9 1. 14 0.643
160 A 18 10 1. 16 0.625
161 A 10 9 1. 14 0.643
162 A 11 9 1. 14 0.643
163 A 20 9 1. 18 0.5
164 A 12 8 1. 16 0.5
165 A 7 7 1. 14 0.5
166 A 16 10 1. 16 0.625
167 A 8 8 1. 14 0.571
168 A 22 15 1. 16 0.938
169 A 9 9 1. 14 0.643
170 A 21 13 1. 16 0.812
171 A 10 9 1. 14 0.643
172 A 0 0 0. 0 0.
173 A 22 9 1. 16 0.562
174 A 14 9 1. 14 0.643
175 A 5 4 1. 12 0.333
176 A 0 0 0. 0 0.
177 A 6 5 1. 21 0.238
178 A 6 5 1. 21 0.238
179 A 6 5 1. 21 0.238
180 A 5 5 1. 19 0.263
181 A 4 3 1. 10 0.3
182 A 7 7 1. 21 0.333
183 A 6 6 1. 21 0.286
184 A 4 4 1. 21 0.19
185 A 7 7 1. 21 0.333
186 A 5 5 1. 21 0.238
187 A 8 7 1. 21 0.333
188 A 9 7 1. 23 0.304
189 A 8 6 1. 23 0.261
190 A 7 7 1. 23 0.304
191 A 6 6 1. 21 0.286
192 A 4 4 1. 12 0.333
193 A 8 8 1. 23 0.348
194 A 9 7 1. 23 0.304
195 A 5 5 1. 23 0.217
196 A 11 9 1. 23 0.391
197 A 17 9 1. 23 0.391
198 A 13 7 1. 23 0.304
199 A 12 9 1. 23 0.391
200 A 8 7 1. 21 0.333
201 A 6 4 1. 12 0.333
202 A 9 9 1. 23 0.391
203 A 11 8 1. 23 0.348
204 A 9 9 1. 23 0.391
205 A 16 12 1. 23 0.522
206 A 16 6 1. 23 0.261
207 A 13 8 1. 23 0.348
208 A 9 6 1. 21 0.286
209 A 6 4 1. 12 0.333
210 A 10 9 1. 23 0.391
211 A 13 9 1. 23 0.391
212 A 10 10 1. 23 0.435
213 A 21 12 1. 23 0.522
214 A 8 4 1. 12 0.333
215 A 14 7 0.98 23 0.304
216 A 11 7 1. 23 0.304
217 A 11 7 0.97 23 0.304
218 A 8 7 1. 21 0.333
219 A 5 5 1. 12 0.417
220 A 0 0 0. 0 0.
221 A 13 6 0.98 23 0.261
222 A 10 6 1. 23 0.261
223 A 10 6 0.98 23 0.261
224 A 6 6 1. 21 0.286
225 A 6 6 0.96 12 0.5
226 A 0 0 0. 0 0.
227 A 26 9 0.99 23 0.391
228 A 20 9 1. 23 0.391
229 A 18 10 1.23 23 0.435
230 A 11 10 1. 21 0.476
231 A 7 7 1. 12 0.583
232 A 0 0 0. 0 0.
233 A 24 8 0.99 23 0.348
234 A 17 8 1. 23 0.348
235 A 18 10 0.99 23 0.435
236 A 9 9 1. 21 0.429
237 A 8 7 0.98 12 0.583
238 A 0 0 0. 0 0.
239 A 9 7 1. 12 0.583
240 A 16 10 1. 25 0.4
241 A 16 10 1. 25 0.4
242 A 11 10 1. 23 0.435
243 A 8 8 1. 14 0.571
244 A 0 0 0. 0 0.
245 A 27 12 1. 25 0.48
246 A 24 13 1. 25 0.52
247 A 13 12 1. 23 0.522
248 A 9 9 1. 14 0.643
249 A 0 0 0. 0 0.
250 A 29 12 1. 25 0.48
251 A 26 13 1. 25 0.52
252 A 14 12 1. 23 0.522
253 A 10 9 1. 14 0.643
254 A 0 0 0. 0 0.
255 A 35 14 1. 25 0.56
256 A 16 12 1. 23 0.522
257 A 11 9 1. 14 0.643
258 A 0 0 0. 0 0.
259 A 20 9 1. 25 0.36
260 A 15 9 1. 25 0.36
261 A 15 9 1. 25 0.36
262 A 10 9 1. 23 0.391
263 A 7 7 1. 14 0.5
264 A 0 0 0. 0 0.
265 A 19 8 1. 25 0.32
266 A 14 8 1. 25 0.32
267 A 14 8 1. 25 0.32
268 A 8 8 1. 23 0.348
269 A 8 8 1. 14 0.571
270 A 0 0 0. 0 0.
271 A 26 11 1. 25 0.44
272 A 24 12 1. 25 0.48
273 A 13 12 1. 23 0.522
274 A 9 9 1. 14 0.643
275 A 0 0 0. 0 0.
276 A 23 10 1. 25 0.4
277 A 24 12 1. 25 0.48
278 A 11 11 1. 23 0.478
279 A 10 9 1. 14 0.643
280 A 0 0 0. 0 0.
281 A 7 6 1. 23 0.261
282 A 6 5 1. 23 0.217
283 A 6 6 1. 23 0.261
284 A 5 5 1. 23 0.217
285 A 5 5 1. 23 0.217
286 A 4 4 1. 23 0.174
287 A 6 6 1. 23 0.261
288 A 5 5 1. 23 0.217
289 A 7 6 1. 23 0.261
290 A 6 5 1. 23 0.217
291 A 3 3 1. 25 0.12
292 A 3 3 1. 25 0.12
293 A 3 3 1. 25 0.12
294 A 3 3 1. 25 0.12
295 A 3 3 1. 25 0.12
296 A 3 3 1. 25 0.12
297 A 3 3 1. 25 0.12
298 A 3 3 1. 25 0.12
299 A 3 3 1. 25 0.12
300 A 0 0 0. 0 0.
301 A 0 0 0. 0 0.
302 A 0 0 0. 0 0.
303 A 0 0 0. 0 0.
304 A 0 0 0. 0 0.
305 A 0 0 0. 0 0.
306 A 0 0 0. 0 0.
307 A 0 0 0. 0 0.
308 A 0 0 0. 0 0.
309 A 0 0 0. 0 0.
310 A 3 3 1. 23 0.13
311 A 3 3 1. 21 0.143
312 A 0 0 0. 0 0.
313 A 7 6 1. 33 0.182
314 A 6 6 1. 33 0.182
315 A 4 4 1. 31 0.129
316 A 5 4 1. 33 0.121
317 A 6 6 1. 33 0.182
318 A 4 4 1. 33 0.121
319 A 9 9 1. 33 0.273
320 A 15 9 1. 33 0.273
321 A 11 9 1. 33 0.273
322 A 7 6 1. 31 0.194
323 A 6 4 1. 33 0.121
324 A 7 5 1. 33 0.152
325 A 11 8 1. 33 0.242
326 A 18 7 1. 33 0.212
327 A 2 2 1. 33 0.061
328 A 2 2 1. 33 0.061
329 A 2 2 1. 31 0.065
330 A 2 2 1. 33 0.061
331 A 2 2 1. 33 0.061
332 A 2 2 1. 33 0.061
333 A 8 8 1. 33 0.242
334 A 7 7 1. 33 0.212
335 A 3 3 1. 31 0.097
336 A 0 0 0. 0 0.
337 A 0 0 0. 0 0.
338 A 3 5 1. 23 0.217
339 A 3 3 1. 36 0.083
340 A 5 4 1. 14 0.286
341 A 6 5 1. 14 0.357
342 A 5 4 1. 14 0.286
343 A 5 5 1. 14 0.357
344 A 4 3 1. 12 0.25
345 A 7 6 1. 14 0.429
346 A 5 5 1. 14 0.357
347 A 3 3 1. 14 0.214
348 A 6 6 1. 14 0.429
349 A 4 4 1. 14 0.286
350 A 7 6 1. 14 0.429
351 A 5 4 1. 14 0.286
352 A 5 4 1. 14 0.286
353 A 7 7 1. 14 0.5
354 A 4 4 1. 14 0.286
355 A 7 6 1. 10 0.6
356 A 3 3 1. 14 0.214
357 A 7 7 1. 14 0.5
358 A 4 4 1. 14 0.286
359 A 8 7 1. 14 0.5
360 A 5 5 1. 10 0.5
361 A 8 6 1. 10 0.6
362 A 7 6 1. 8 0.75
363 A 6 6 1. 6 1.
364 A 5 5 1. 10 0.5
365 A 3 3 1. 10 0.3
366 A 4 4 1. 10 0.4
367 A 5 4 1. 10 0.4
368 A 6 4 1. 10 0.4
369 A 7 6 1. 14 0.429
370 A 4 4 1. 14 0.286
371 A 6 6 1. 14 0.429
372 A 3 3 1. 12 0.25
373 A 6 5 1. 10 0.5
374 A 7 6 1. 14 0.429
375 A 4 3 1. 14 0.214
376 A 5 5 1. 14 0.357
377 A 5 4 1. 14 0.286
378 A 6 5 1. 14 0.357
379 A 3 3 1. 14 0.214
380 A 3 3 1. 14 0.214
381 A 3 3 1. 12 0.25
382 A 4 3 1. 10 0.3
383 A 7 6 1. 14 0.429
384 A 3 3 1. 14 0.214
385 A 3 3 1. 14 0.214
386 A 7 7 1. 16 0.438
387 A 7 7 1. 16 0.438
388 A 5 4 1. 14 0.286
389 A 12 7 1. 16 0.438
390 A 5 5 1. 16 0.312
391 A 6 6 1. 16 0.375
392 A 7 7 1. 16 0.438
393 A 8 8 1. 16 0.5
394 A 7 7 1. 16 0.438
395 A 7 6 1. 12 0.5
396 A 4 4 1. 16 0.25
397 A 8 7 1. 16 0.438
398 A 8 8 1. 16 0.5
399 A 4 4 1. 12 0.333
400 A 4 4 1. 14 0.286
401 A 3 2 1. 14 0.143
402 A 5 4 1. 14 0.286
403 A 2 2 1. 14 0.143
404 A 4 3 1. 12 0.25
405 A 1 1 1. 14 0.071
406 A 1 1 1. 14 0.071
407 A 2 2 1. 14 0.143
408 A 3 2 1. 16 0.125
409 A 5 4 1. 16 0.25
410 A 2 2 1. 16 0.125
411 A 4 3 1. 14 0.214
412 A 1 1 1. 16 0.062
413 A 1 1 1. 16 0.062
414 A 2 2 1. 16 0.125
415 A 2 2 1. 8 0.25
416 A 2 2 1. 10 0.2
417 A 2 2 1. 16 0.125
418 A 2 2 1. 16 0.125
419 A 1 1 1. 16 0.062
420 A 1 1 1. 16 0.062
421 A 1 1 1. 16 0.062
422 A 2 2 1. 16 0.125
423 A 2 2 1. 16 0.125
424 A 2 2 1. 18 0.111
425 A 2 2 1. 18 0.111
426 A 1 1 1. 18 0.056
427 A 1 1 1. 18 0.056
428 A 1 1 1. 18 0.056
429 A 2 2 1. 18 0.111
430 A 2 2 1. 18 0.111
431 A 0 0 0. 0 0.
432 A 8 8 1. 40 0.2
433 A 7 7 1. 40 0.175
434 A 6 7 1. 38 0.184
435 A 0 0 0. 0 0.
436 A 0 0 0. 0 0.
437 A 3 4 1. 8 0.5
438 A 6 6 1. 10 0.6
439 A 6 4 1. 10 0.4
440 A 6 4 1. 10 0.4
441 A 5 4 1. 8 0.5
442 A 2 2 1. 6 0.333
443 A 6 5 1. 10 0.5
444 A 6 4 1. 10 0.4
445 A 12 5 1. 12 0.417
446 A 12 5 1. 12 0.417
447 A 8 5 1. 10 0.5
448 A 7 4 1. 8 0.5
449 A 0 0 0. 0 0.
450 A 0 0 0. 0 0.
451 A 17 7 1. 12 0.583
452 A 13 7 1. 12 0.583
453 A 9 7 1. 10 0.7
454 A 2 2 1. 8 0.25
455 A 0 0 0. 0 0.
456 A 0 0 0. 0 0.
457 A 37 8 1. 14 0.571
458 A 27 8 1. 14 0.571
459 A 17 8 1. 12 0.667
460 A 7 4 1. 10 0.4
461 A 0 0 0. 0 0.
462 A 0 0 0. 0 0.
463 A 7 5 1. 21 0.238
464 A 6 5 1. 21 0.238
465 A 5 5 1. 21 0.238
466 A 4 4 1. 21 0.19
467 A 4 4 1. 21 0.19
468 A 5 5 1. 21 0.238
469 A 6 6 1. 10 0.6
470 F 0 0 N/A 0 N/A
471 A 2 2 1. 26 0.077
472 A 2 2 1. 26 0.077
473 A 3 2 1. 28 0.071
474 F 0 0 N/A 0 N/A

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