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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 21, 22, 23, 32, 33, 34, 35, 36, 37, 38, 44, 45, 46, 47, 48, 55, 57, 59, 61, 62, 63, 64, 65, 67, 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, 156, 157, 158, 159, 160, 161, 162, 169, 170, 171, 172, 173, 174, 175, 181, 182, 183, 184, 185, 186, 187, 188, 194, 195, 196, 197, 198, 204, 205, 206, 207, 209, 211, 212, 213, 214, 215, 217, 219, 220, 221, 222, 223, 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, 261, 262, 263, 264, 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, 311, 312, 313, 314, 315, 322, 323, 324, 325, 326, 332, 333, 334, 335, 336, 342, 343, 344, 345, 346, 347, 355, 356, 357, 358, 359, 360, 367, 368, 369, 370, 376, 377, 378, 379, 380, 386, 387, 388, 389, 390, 391, 392, 393, 401, 402, 403, 404, 405, 406, 413 }

B grade: { 56, 58, 60, 66, 68, 354, 361, 362, 363, 364, 365, 366, 371, 372, 373, 374, 375, 381, 382, 383, 384, 394 }

C grade: { 15, 16, 17, 18, 19, 24, 25, 26, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 49, 50, 51, 52, 53, 54, 151, 152, 153, 154, 155, 163, 164, 166, 167, 168, 176, 177, 178, 179, 180, 189, 190, 191, 192, 193, 199, 200, 202, 203, 224, 259, 260, 265, 266, 310, 316, 317, 318, 319, 320, 321, 327, 328, 329, 330, 331, 337, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 385, 395, 396, 397, 398, 399 }

F grade: { 165, 201, 208, 210, 216, 218, 400, 407, 408, 409, 410, 411, 412 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 38, 44, 45, 46, 47, 48, 49, 57, 59, 61, 62, 63, 64, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 114, 115, 129, 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, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 202, 203, 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, 261, 263, 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, 297, 298, 299, 300, 332, 333, 335, 336 }

B grade: { 55, 56, 58, 60, 65, 66, 68, 70, 87, 88, 102, 107, 108, 109, 110, 111, 112, 113, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 133, 134, 135, 136, 169, 170, 176, 195, 220, 221, 222, 262, 264, 295, 296, 301, 302, 303, 304, 305, 306, 307, 308, 309, 311, 312, 313, 314, 315, 322, 323, 324, 325, 326, 334, 342, 343, 344, 345, 346, 347, 376, 377, 378, 379, 380, 385 }

C grade: { 15, 16, 17, 18, 19, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54, 259, 260, 265, 266, 310, 316, 317, 318, 319, 320, 321, 327, 328, 329, 330, 331, 337, 338, 339, 340, 341, 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, 381, 382, 383, 384, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 413 }

F grade: { 90, 91, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 12, 13, 14, 20, 24, 25, 26, 32, 33, 37, 38, 44, 45, 46, 47, 48, 49, 55, 57, 59, 61, 62, 63, 64, 65, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 93, 94, 95, 96, 97, 98, 99, 100, 101, 137, 138, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 150, 156, 157, 158, 159, 160, 161, 162, 181, 182, 183, 184, 185, 186, 187, 188, 194, 195, 196, 197, 198, 220, 221, 222, 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, 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 }

B grade: { 8, 9, 10, 11, 21, 22, 23, 34, 35, 36, 56, 58, 60, 66, 68, 70, 92 }

C grade: { }

F grade: { 15, 16, 17, 18, 19, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54, 90, 91, 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, 141, 151, 152, 153, 154, 155, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 189, 190, 191, 192, 193, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 259, 260, 261, 262, 263, 264, 265, 266, 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 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 38, 44, 45, 46, 47, 48, 49, 57, 59, 61, 62, 63, 64, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 156, 157, 158, 159, 160, 161, 162, 169, 170, 171, 172, 173, 174, 175, 181, 182, 183, 184, 185, 186, 187, 188, 194, 195, 198, 229, 230, 231, 232, 233, 234, 235, 244, 245, 246, 247, 248, 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, 297, 298, 299, 312, 313, 314, 315, 336 }

B grade: { 55, 56, 58, 60, 65, 66, 68, 70, 87, 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, 196, 197, 220, 221, 222, 237, 238, 239, 240, 241, 242, 243, 252, 253, 254, 255, 256, 257, 305, 306, 332, 333, 334, 335, 342, 343, 344, 345, 346, 347, 356, 357, 358, 361, 362, 363, 364, 365, 366, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 388, 389, 390, 391, 413 }

C grade: { }

F grade: { 15, 16, 17, 18, 19, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54, 90, 91, 151, 152, 153, 154, 155, 163, 164, 165, 166, 167, 168, 176, 177, 178, 179, 180, 189, 190, 191, 192, 193, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 236, 249, 250, 251, 258, 259, 260, 261, 262, 263, 264, 265, 266, 295, 296, 300, 301, 302, 303, 304, 307, 308, 309, 310, 311, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 337, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 359, 360, 367, 368, 369, 370, 371, 372, 386, 387, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 20, 23, 24, 25, 26, 32, 33, 34, 35, 36, 37, 38, 44, 45, 46, 57, 59, 61, 62, 63, 64, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 92, 95, 96, 97, 98, 99, 100, 101, 109, 137, 138, 139, 140, 141, 220, 221, 222, 273, 274, 275, 276, 277, 278, 279, 281, 282, 284, 285, 288, 289, 290, 291, 292, 293 }

B grade: { 21, 22, 47, 48, 49, 56, 58, 60, 66, 68, 70, 102, 103, 104, 114, 115, 126, 127, 128, 129, 280, 283, 286, 287, 294 }

C grade: { 15, 16, 17, 18, 19, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54 }

F grade: { 55, 65, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 105, 106, 107, 108, 110, 111, 112, 113, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 130, 131, 132, 133, 134, 135, 136, 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, 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, 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 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 20, 21, 22, 23, 24, 32, 33, 34, 35, 44, 45, 46, 47, 48, 49, 57, 59, 61, 62, 63, 64, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 86, 92, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 112, 113, 114, 115, 116, 117, 124, 125, 127, 128, 129, 130, 131, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 156, 158, 159, 160, 161, 169, 170, 171, 173, 181, 182, 183, 184, 185, 194, 195, 196, 197, 198, 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, 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, 315, 334, 336, 357, 361, 362, 370, 371, 372, 373, 386, 387, 388, 394, 413 }

B grade: { 13, 14, 25, 26, 36, 37, 38, 55, 56, 58, 60, 65, 66, 68, 70, 87, 88, 89, 93, 94, 107, 108, 109, 110, 111, 118, 119, 120, 121, 122, 123, 126, 132, 133, 134, 135, 136, 147, 148, 149, 150, 157, 162, 174, 175, 186, 187, 188, 220, 221, 222, 303, 304, 305, 306, 307, 308, 309, 343, 344, 345, 347, 354, 355, 356, 358, 360, 367, 368, 369, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385 }

C grade: { }

F grade: { 15, 16, 17, 18, 19, 27, 28, 29, 30, 31, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54, 81, 83, 85, 90, 91, 151, 152, 153, 154, 155, 163, 164, 165, 166, 167, 168, 172, 176, 177, 178, 179, 180, 189, 190, 191, 192, 193, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 259, 260, 261, 262, 263, 264, 265, 266, 310, 311, 312, 313, 314, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 335, 337, 338, 339, 340, 341, 342, 346, 348, 349, 350, 351, 352, 353, 359, 363, 364, 365, 366, 374, 375, 389, 390, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412 }

2.1.8 Mupad

A grade: { }

B grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, 24, 25, 26, 30, 32, 33, 34, 35, 36, 37, 38, 42, 44, 45, 46, 47, 48, 49, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 78, 80, 82, 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, 158, 171, 172, 173, 184, 185, 186, 195, 196, 220, 221, 222, 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, 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, 354, 355, 356, 357, 358, 359, 360, 367, 368, 369, 370, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385 }

C grade: { }

F grade: { 15, 16, 17, 19, 27, 28, 29, 31, 39, 40, 41, 43, 50, 51, 52, 54, 75, 77, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 187, 188, 189, 190, 191, 192, 193, 194, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 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, 361, 362, 363, 364, 365, 366, 371, 372, 373, 374, 375, 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 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 149 126 125 125 151 131 125
normalized size 1 1.00 1.00 0.85 0.84 0.84 1.01 0.88 0.84
time (sec) N/A 0.220 0.016 0.010 0.431 0.547 0.145 0.261 0.306
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 149 126 125 125 155 131 125
normalized size 1 1.00 1.00 0.85 0.84 0.84 1.04 0.88 0.84
time (sec) N/A 0.098 0.004 0.000 0.463 0.496 0.088 0.193 0.069
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 146 125 124 124 150 130 124
normalized size 1 1.00 1.64 1.40 1.39 1.39 1.69 1.46 1.39
time (sec) N/A 0.077 0.003 0.003 0.441 0.432 0.089 0.180 0.071
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 141 122 121 121 148 127 121
normalized size 1 1.00 1.00 0.87 0.86 0.86 1.05 0.90 0.86
time (sec) N/A 0.082 0.003 0.001 0.465 0.623 0.089 0.221 0.070
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 142 123 125 122 150 131 122
normalized size 1 1.00 1.00 0.87 0.88 0.86 1.06 0.92 0.86
time (sec) N/A 0.111 0.012 0.014 0.518 0.577 0.250 0.197 0.109
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 139 122 121 127 143 127 121
normalized size 1 1.00 1.00 0.88 0.87 0.91 1.03 0.91 0.87
time (sec) N/A 0.082 0.007 0.017 0.522 0.673 0.244 0.195 0.094
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 142 123 125 129 150 142 122
normalized size 1 1.00 1.00 0.87 0.88 0.91 1.06 1.00 0.86
time (sec) N/A 0.121 0.008 0.009 0.504 0.686 0.279 0.208 0.072
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 50 53 102 48 97 54 42
normalized size 1 1.00 0.75 0.79 1.52 0.72 1.45 0.81 0.63
time (sec) N/A 0.050 0.053 0.046 1.012 0.494 6.015 0.233 0.370
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 46 93 43 70 45 37
normalized size 1 1.00 0.86 0.90 1.82 0.84 1.37 0.88 0.73
time (sec) N/A 0.031 0.026 0.006 1.016 0.571 4.307 0.233 0.392
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 34 67 34 53 38 32
normalized size 1 1.00 0.82 0.77 1.52 0.77 1.20 0.86 0.73
time (sec) N/A 0.021 0.030 0.008 1.325 0.557 3.083 0.197 0.137
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 57 49 99 56 83 76 45
normalized size 1 1.00 0.98 0.84 1.71 0.97 1.43 1.31 0.78
time (sec) N/A 0.055 0.059 0.016 1.561 0.731 15.588 0.213 0.146
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 59 61 88 72 83 91 51
normalized size 1 1.00 1.00 1.03 1.49 1.22 1.41 1.54 0.86
time (sec) N/A 0.056 0.044 0.013 1.408 0.848 7.460 0.245 0.787
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 59 75 91 72 76 129 56
normalized size 1 1.00 0.94 1.19 1.44 1.14 1.21 2.05 0.89
time (sec) N/A 0.055 0.067 0.016 1.237 0.646 6.042 0.244 0.423
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 72 52 59 59 63 116 43
normalized size 1 1.00 1.24 0.90 1.02 1.02 1.09 2.00 0.74
time (sec) N/A 0.047 0.034 0.013 1.612 0.638 5.956 0.232 0.681
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 82 192 0 0 78 0 -1
normalized size 1 1.00 0.39 0.92 0.00 0.00 0.38 0.00 -0.00
time (sec) N/A 0.124 0.034 0.090 0.000 0.696 2.333 0.000 0.000
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 68 180 0 0 78 0 -1
normalized size 1 1.00 0.35 0.94 0.00 0.00 0.41 0.00 -0.01
time (sec) N/A 0.097 0.024 0.020 0.000 0.663 2.141 0.000 0.000
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 48 168 0 0 76 0 -1
normalized size 1 1.00 0.27 0.95 0.00 0.00 0.43 0.00 -0.01
time (sec) N/A 0.064 0.010 0.012 0.000 0.728 2.016 0.000 0.000
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 53 167 0 0 78 0 61
normalized size 1 1.00 0.31 0.98 0.00 0.00 0.46 0.00 0.36
time (sec) N/A 0.067 0.019 0.018 0.000 0.683 2.304 0.000 0.410
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 54 170 0 0 83 0 -1
normalized size 1 1.00 0.28 0.89 0.00 0.00 0.43 0.00 -0.01
time (sec) N/A 0.089 0.020 0.017 0.000 0.684 2.500 0.000 0.000
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 72 73 127 58 131 80 52
normalized size 1 1.00 0.87 0.88 1.53 0.70 1.58 0.96 0.63
time (sec) N/A 0.059 0.049 0.025 1.349 0.710 14.314 0.247 0.319
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 54 58 118 53 124 71 47
normalized size 1 1.00 0.81 0.87 1.76 0.79 1.85 1.06 0.70
time (sec) N/A 0.040 0.036 0.009 1.133 0.627 11.572 0.205 0.430
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 56 46 95 48 109 57 42
normalized size 1 1.00 0.93 0.77 1.58 0.80 1.82 0.95 0.70
time (sec) N/A 0.030 0.027 0.014 1.597 0.749 8.193 0.242 0.177
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 67 75 138 67 114 90 55
normalized size 1 1.00 0.86 0.96 1.77 0.86 1.46 1.15 0.71
time (sec) N/A 0.075 0.034 0.020 1.187 0.762 33.672 0.261 0.180
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 71 75 122 78 114 102 64
normalized size 1 1.00 0.88 0.93 1.51 0.96 1.41 1.26 0.79
time (sec) N/A 0.075 0.053 0.016 1.330 0.680 11.391 0.258 0.765
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 60 73 123 82 133 146 71
normalized size 1 1.00 0.70 0.85 1.43 0.95 1.55 1.70 0.83
time (sec) N/A 0.077 0.027 0.020 1.372 0.748 12.755 0.255 0.552
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 60 73 112 82 148 158 82
normalized size 1 1.00 0.73 0.89 1.37 1.00 1.80 1.93 1.00
time (sec) N/A 0.075 0.025 0.023 1.346 0.699 12.558 0.270 0.946
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 74 216 0 0 160 0 -1
normalized size 1 1.00 0.31 0.92 0.00 0.00 0.68 0.00 -0.00
time (sec) N/A 0.134 0.042 0.020 0.000 0.581 3.969 0.000 0.000
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 68 204 0 0 160 0 -1
normalized size 1 1.00 0.31 0.93 0.00 0.00 0.73 0.00 -0.00
time (sec) N/A 0.120 0.027 0.013 0.000 0.666 3.654 0.000 0.000
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 49 192 0 0 158 0 -1
normalized size 1 1.00 0.25 0.97 0.00 0.00 0.80 0.00 -0.01
time (sec) N/A 0.082 0.010 0.011 0.000 0.639 3.629 0.000 0.000
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 53 192 0 0 160 0 48
normalized size 1 1.00 0.27 0.96 0.00 0.00 0.80 0.00 0.24
time (sec) N/A 0.088 0.021 0.018 0.000 0.727 4.257 0.000 0.533
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 54 192 0 0 163 0 -1
normalized size 1 1.00 0.27 0.96 0.00 0.00 0.81 0.00 -0.00
time (sec) N/A 0.086 0.021 0.017 0.000 0.711 4.121 0.000 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 44 51 104 43 85 46 38
normalized size 1 1.00 0.66 0.76 1.55 0.64 1.27 0.69 0.57
time (sec) N/A 0.058 0.028 0.018 1.314 0.796 7.072 0.189 0.590
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 35 39 76 34 66 37 32
normalized size 1 1.00 0.69 0.76 1.49 0.67 1.29 0.73 0.63
time (sec) N/A 0.042 0.022 0.012 1.218 0.699 5.519 0.216 0.309
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 34 32 65 33 53 33 27
normalized size 1 1.00 0.97 0.91 1.86 0.94 1.51 0.94 0.77
time (sec) N/A 0.026 0.017 0.007 1.158 0.512 4.041 0.216 0.491
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 20 42 26 22 26 19
normalized size 1 1.00 1.00 0.83 1.75 1.08 0.92 1.08 0.79
time (sec) N/A 0.017 0.019 0.010 1.118 0.663 2.131 0.196 0.294
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 30 67 41 31 61 30
normalized size 1 1.00 1.00 0.79 1.76 1.08 0.82 1.61 0.79
time (sec) N/A 0.038 0.016 0.013 1.173 0.701 6.008 0.205 0.615
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 31 47 47 31 66 31
normalized size 1 1.00 1.00 0.74 1.12 1.12 0.74 1.57 0.74
time (sec) N/A 0.037 0.021 0.014 1.257 0.768 3.597 0.216 0.329
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 49 43 59 50 88 114 43
normalized size 1 1.00 0.84 0.74 1.02 0.86 1.52 1.97 0.74
time (sec) N/A 0.051 0.023 0.019 1.118 0.575 14.329 0.217 0.694
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 74 168 0 0 75 0 -1
normalized size 1 1.00 0.40 0.91 0.00 0.00 0.41 0.00 -0.01
time (sec) N/A 0.085 0.029 0.023 0.000 0.683 2.551 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 66 155 0 0 75 0 -1
normalized size 1 1.00 0.40 0.93 0.00 0.00 0.45 0.00 -0.01
time (sec) N/A 0.066 0.021 0.013 0.000 0.691 2.360 0.000 0.000
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 48 146 0 0 73 0 -1
normalized size 1 1.00 0.31 0.94 0.00 0.00 0.47 0.00 -0.01
time (sec) N/A 0.046 0.011 0.010 0.000 0.559 1.705 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 53 158 0 0 75 0 48
normalized size 1 1.00 0.31 0.91 0.00 0.00 0.43 0.00 0.28
time (sec) N/A 0.062 0.023 0.019 0.000 0.715 1.819 0.000 0.504
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 54 170 0 0 80 0 -1
normalized size 1 1.00 0.29 0.90 0.00 0.00 0.42 0.00 -0.01
time (sec) N/A 0.086 0.021 0.024 0.000 0.834 2.082 0.000 0.000
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 51 50 89 62 66 45 97
normalized size 1 1.00 0.88 0.86 1.53 1.07 1.14 0.78 1.67
time (sec) N/A 0.046 0.024 0.021 1.211 0.549 14.277 0.207 1.108
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 46 37 63 58 48 39 89
normalized size 1 1.00 1.02 0.82 1.40 1.29 1.07 0.87 1.98
time (sec) N/A 0.039 0.021 0.014 1.414 0.673 12.336 0.232 0.894
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 41 34 54 52 39 33 82
normalized size 1 1.00 1.17 0.97 1.54 1.49 1.11 0.94 2.34
time (sec) N/A 0.027 0.017 0.007 1.227 0.770 10.675 0.254 0.841
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 17 22 31 31 16 16
normalized size 1 1.00 1.00 0.85 1.10 1.55 1.55 0.80 0.80
time (sec) N/A 0.016 0.009 0.003 1.486 0.716 7.856 0.245 0.164
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 40 56 61 212 61 40
normalized size 1 1.00 1.00 0.87 1.22 1.33 4.61 1.33 0.87
time (sec) N/A 0.043 0.032 0.020 1.405 0.539 19.618 0.253 0.475
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 45 47 68 77 228 82 47
normalized size 1 1.00 0.69 0.72 1.05 1.18 3.51 1.26 0.72
time (sec) N/A 0.055 0.025 0.014 1.098 0.587 12.982 0.243 0.537
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 70 168 0 0 75 0 -1
normalized size 1 1.00 0.36 0.86 0.00 0.00 0.38 0.00 -0.01
time (sec) N/A 0.085 0.039 0.025 0.000 0.925 5.590 0.000 0.000
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 68 168 0 0 75 0 -1
normalized size 1 1.00 0.38 0.95 0.00 0.00 0.42 0.00 -0.01
time (sec) N/A 0.069 0.029 0.017 0.000 0.663 5.095 0.000 0.000
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 66 168 0 0 73 0 -1
normalized size 1 1.00 0.37 0.93 0.00 0.00 0.41 0.00 -0.01
time (sec) N/A 0.061 0.022 0.014 0.000 0.694 5.075 0.000 0.000
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 71 180 0 0 75 0 48
normalized size 1 1.00 0.36 0.92 0.00 0.00 0.38 0.00 0.24
time (sec) N/A 0.082 0.051 0.021 0.000 0.587 7.203 0.000 0.456
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 54 192 0 0 80 0 -1
normalized size 1 1.00 0.25 0.90 0.00 0.00 0.37 0.00 -0.00
time (sec) N/A 0.108 0.024 0.020 0.000 0.747 8.146 0.000 0.000
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 189 2295 372 1571 0 3752 1539
normalized size 1 1.00 0.70 8.53 1.38 5.84 0.00 13.95 5.72
time (sec) N/A 0.161 0.557 0.027 0.885 0.731 0.000 0.459 1.777
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 153 130 129 132 134 143 121
normalized size 1 1.00 2.43 2.06 2.05 2.10 2.13 2.27 1.92
time (sec) N/A 0.197 0.022 0.002 0.591 0.396 0.096 0.278 0.094
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 153 130 129 133 141 144 123
normalized size 1 1.00 1.00 0.85 0.84 0.87 0.92 0.94 0.80
time (sec) N/A 0.117 0.023 0.000 0.667 0.446 0.095 0.296 0.121
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 151 130 129 133 136 144 123
normalized size 1 1.00 3.36 2.89 2.87 2.96 3.02 3.20 2.73
time (sec) N/A 0.123 0.017 0.000 0.654 0.645 0.098 0.400 0.078
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 153 130 129 133 139 144 123
normalized size 1 1.00 1.00 0.85 0.84 0.87 0.91 0.94 0.80
time (sec) N/A 0.085 0.017 0.002 0.499 0.536 0.097 0.288 0.081
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 149 130 129 133 133 144 123
normalized size 1 1.00 5.14 4.48 4.45 4.59 4.59 4.97 4.24
time (sec) N/A 0.049 0.012 0.002 0.645 0.635 0.096 0.314 0.077
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 143 127 125 130 134 141 120
normalized size 1 1.00 1.00 0.89 0.87 0.91 0.94 0.99 0.84
time (sec) N/A 0.074 0.016 0.001 0.576 0.542 0.098 0.362 0.079
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 149 132 130 127 131 145 121
normalized size 1 1.00 1.60 1.42 1.40 1.37 1.41 1.56 1.30
time (sec) N/A 0.055 0.025 0.003 0.478 0.640 0.328 0.267 0.129
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 141 129 125 131 124 139 119
normalized size 1 1.00 1.00 0.91 0.89 0.93 0.88 0.99 0.84
time (sec) N/A 0.082 0.026 0.005 0.504 0.562 0.321 0.361 0.081
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 147 131 130 133 131 156 120
normalized size 1 1.00 1.00 0.89 0.88 0.90 0.89 1.06 0.82
time (sec) N/A 0.136 0.034 0.007 0.698 0.756 0.386 0.263 0.084
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 122 1121 192 759 0 1848 1483
normalized size 1 1.00 0.60 5.52 0.95 3.74 0.00 9.10 7.31
time (sec) N/A 0.073 0.044 0.013 0.972 0.834 0.000 0.619 1.251
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 85 62 61 61 76 61 61
normalized size 1 1.00 2.50 1.82 1.79 1.79 2.24 1.79 1.79
time (sec) N/A 0.047 0.002 0.001 0.637 0.494 0.072 0.339 0.062
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 62 61 61 75 61 61
normalized size 1 1.00 1.00 0.75 0.73 0.73 0.90 0.73 0.73
time (sec) N/A 0.031 0.002 0.003 0.762 0.596 0.071 0.414 0.059
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 83 62 61 61 75 61 61
normalized size 1 1.00 3.61 2.70 2.65 2.65 3.26 2.65 2.65
time (sec) N/A 0.022 0.002 0.001 0.563 0.485 0.073 0.362 0.060
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 62 61 61 75 61 61
normalized size 1 1.00 1.00 0.75 0.73 0.73 0.90 0.73 0.73
time (sec) N/A 0.027 0.001 0.000 0.880 0.547 0.071 0.304 0.059
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 62 61 61 71 76 61
normalized size 1 1.00 1.00 5.64 5.55 5.55 6.45 6.91 5.55
time (sec) N/A 0.002 0.002 0.001 0.782 0.577 0.070 0.314 0.058
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 58 57 57 68 57 57
normalized size 1 1.00 1.00 0.79 0.78 0.78 0.93 0.78 0.78
time (sec) N/A 0.022 0.001 0.001 0.977 0.558 0.074 0.274 0.058
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 80 59 62 58 75 62 58
normalized size 1 1.00 1.00 0.74 0.78 0.72 0.94 0.78 0.72
time (sec) N/A 0.033 0.003 0.003 0.821 0.491 0.107 0.230 0.061
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 60 59 62 66 59 59
normalized size 1 1.00 1.00 0.82 0.81 0.85 0.90 0.81 0.81
time (sec) N/A 0.025 0.003 0.004 0.826 0.638 0.101 0.297 0.060
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 80 61 62 64 75 69 60
normalized size 1 1.00 1.00 0.76 0.78 0.80 0.94 0.86 0.75
time (sec) N/A 0.040 0.003 0.005 0.736 0.674 0.112 0.357 0.061
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 80 90 54 129 90 101 -1
normalized size 1 1.00 0.55 0.62 0.37 0.89 0.62 0.70 -0.01
time (sec) N/A 0.090 0.083 0.039 1.519 0.766 0.365 0.430 0.000
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 51 55 31 29 27 42 103
normalized size 1 1.00 0.61 0.66 0.37 0.35 0.33 0.51 1.24
time (sec) N/A 0.072 0.021 0.010 0.779 0.795 0.277 0.383 0.876
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 69 62 33 98 82 59 -1
normalized size 1 1.00 0.71 0.64 0.34 1.01 0.85 0.61 -0.01
time (sec) N/A 0.047 0.027 0.007 1.507 0.828 0.317 0.265 0.000
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 54 57 35 33 26 61 83
normalized size 1 1.00 0.59 0.62 0.38 0.36 0.28 0.66 0.90
time (sec) N/A 0.072 0.021 0.010 0.734 0.716 0.709 0.381 0.766
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 72 67 37 105 82 62 -1
normalized size 1 1.00 0.71 0.66 0.37 1.04 0.81 0.61 -0.01
time (sec) N/A 0.063 0.030 0.010 1.216 0.690 0.372 0.343 0.000
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 70 79 48 48 41 131 125
normalized size 1 1.00 0.51 0.58 0.35 0.35 0.30 0.96 0.91
time (sec) N/A 0.098 0.033 0.013 0.784 0.903 0.726 0.386 0.810
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 108 188 125 300 0 0 -1
normalized size 1 1.00 0.71 1.23 0.82 1.96 0.00 0.00 -0.01
time (sec) N/A 0.119 0.060 0.019 1.489 0.752 0.000 0.000 0.000
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 45 38 65 42 0 40 48
normalized size 1 1.00 0.58 0.49 0.84 0.55 0.00 0.52 0.62
time (sec) N/A 0.066 0.019 0.007 0.636 0.689 0.000 0.507 0.179
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 108 186 124 301 0 0 -1
normalized size 1 1.00 0.69 1.19 0.79 1.93 0.00 0.00 -0.01
time (sec) N/A 0.089 0.051 0.014 1.670 0.754 0.000 0.000 0.000
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 92 133 88 119 0 96 -1
normalized size 1 1.00 0.57 0.83 0.55 0.74 0.00 0.60 -0.01
time (sec) N/A 0.118 0.041 0.021 0.888 0.664 0.000 0.528 0.000
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 124 206 134 334 0 0 -1
normalized size 1 1.00 0.65 1.08 0.71 1.76 0.00 0.00 -0.01
time (sec) N/A 0.185 0.069 0.023 1.403 0.675 0.000 0.000 0.000
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 130 249 138 205 0 144 -1
normalized size 1 1.00 0.58 1.12 0.62 0.92 0.00 0.65 -0.00
time (sec) N/A 0.184 0.070 0.025 0.841 0.652 0.000 0.403 0.000
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 160 1099 491 853 0 2213 -1
normalized size 1 1.00 0.40 2.75 1.23 2.13 0.00 5.53 -0.00
time (sec) N/A 0.243 0.220 0.010 0.815 0.747 0.000 0.687 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 112 495 243 381 0 1013 -1
normalized size 1 1.00 0.41 1.79 0.88 1.38 0.00 3.67 -0.00
time (sec) N/A 0.153 0.110 0.009 0.964 1.030 0.000 0.524 0.000
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 86 131 75 94 0 269 -1
normalized size 1 1.00 0.56 0.86 0.49 0.61 0.00 1.76 -0.01
time (sec) N/A 0.076 0.055 0.006 0.811 0.860 0.000 0.322 0.000
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 78 0 0 0 0 0 -1
normalized size 1 1.00 0.58 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.067 0.094 0.000 0.629 0.000 0.000 0.000
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 101 0 0 0 0 0 -1
normalized size 1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.119 0.072 0.029 0.000 0.674 0.000 0.000 0.000
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 25 40 86 47 165 32 59
normalized size 1 1.00 0.74 1.18 2.53 1.38 4.85 0.94 1.74
time (sec) N/A 0.029 0.008 0.002 0.722 0.634 9.597 0.289 0.142
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 45 62 135 92 0 196 108
normalized size 1 1.00 0.52 0.72 1.57 1.07 0.00 2.28 1.26
time (sec) N/A 0.089 0.024 0.007 0.737 0.519 0.000 0.427 0.171
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 68 99 196 140 0 331 169
normalized size 1 1.00 0.53 0.77 1.53 1.09 0.00 2.59 1.32
time (sec) N/A 0.129 0.035 0.006 0.698 0.685 0.000 0.385 0.202
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 166 226 166 193 202 193 169
normalized size 1 1.00 1.00 1.36 1.00 1.16 1.22 1.16 1.02
time (sec) N/A 0.393 0.050 0.000 0.604 0.633 0.102 0.338 0.076
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 166 226 166 193 204 193 169
normalized size 1 1.00 1.00 1.36 1.00 1.16 1.23 1.16 1.02
time (sec) N/A 0.154 0.054 0.000 0.726 0.582 0.101 0.270 0.096
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 154 226 166 193 199 193 169
normalized size 1 1.00 0.93 1.36 1.00 1.16 1.20 1.16 1.02
time (sec) N/A 0.287 0.056 0.000 0.768 0.543 0.102 0.287 0.048
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 161 223 163 189 199 189 165
normalized size 1 1.00 1.00 1.39 1.01 1.17 1.24 1.17 1.02
time (sec) N/A 0.118 0.046 0.000 0.730 0.599 0.102 0.264 0.049
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 162 191 167 164 199 193 166
normalized size 1 1.00 1.00 1.18 1.03 1.01 1.23 1.19 1.02
time (sec) N/A 0.227 0.056 0.005 0.787 0.618 0.309 0.335 0.103
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 156 186 162 168 185 185 163
normalized size 1 1.00 1.00 1.19 1.04 1.08 1.19 1.19 1.04
time (sec) N/A 0.108 0.082 0.004 0.707 0.573 0.307 0.306 0.051
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 162 190 167 170 197 212 166
normalized size 1 1.00 1.00 1.17 1.03 1.05 1.22 1.31 1.02
time (sec) N/A 0.226 0.071 0.007 0.785 0.746 0.401 0.404 0.056
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 126 261 0 421 620 126 1343
normalized size 1 1.00 0.95 1.96 0.00 3.17 4.66 0.95 10.10
time (sec) N/A 0.207 0.064 0.007 0.000 0.810 43.892 1.873 0.458
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 93 175 0 312 434 91 979
normalized size 1 1.00 0.96 1.80 0.00 3.22 4.47 0.94 10.09
time (sec) N/A 0.116 0.068 0.004 0.000 0.838 10.545 1.812 0.646
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 71 98 0 219 287 67 606
normalized size 1 1.00 1.00 1.38 0.00 3.08 4.04 0.94 8.54
time (sec) N/A 0.070 0.046 0.003 0.000 0.575 3.589 1.715 0.498
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 128 105 0 249 0 78 2424
normalized size 1 1.00 1.64 1.35 0.00 3.19 0.00 1.00 31.08
time (sec) N/A 0.139 0.103 0.007 0.000 0.798 0.000 1.610 4.476
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 186 191 0 385 0 124 3729
normalized size 1 1.00 1.66 1.71 0.00 3.44 0.00 1.11 33.29
time (sec) N/A 0.245 0.218 0.010 0.000 1.007 0.000 1.874 4.855
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 327 825 0 5140 0 4391 10177
normalized size 1 1.00 1.25 3.16 0.00 19.69 0.00 16.82 38.99
time (sec) N/A 1.489 0.405 0.053 0.000 2.886 0.000 3.789 1.594
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 251 560 0 2632 0 3179 6366
normalized size 1 1.00 1.21 2.69 0.00 12.65 0.00 15.28 30.61
time (sec) N/A 0.528 0.163 0.026 0.000 0.879 0.000 3.498 1.256
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 173 328 0 1569 314 1400 4109
normalized size 1 1.00 1.01 1.91 0.00 9.12 1.83 8.14 23.89
time (sec) N/A 0.201 0.094 0.020 0.000 0.874 16.959 2.416 0.997
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 206 353 0 2914 0 2805 6335
normalized size 1 1.00 1.09 1.87 0.00 15.42 0.00 14.84 33.52
time (sec) N/A 0.400 0.291 0.030 0.000 0.993 0.000 3.568 1.354
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 267 611 0 5442 0 2870 10101
normalized size 1 1.00 0.99 2.25 0.00 20.08 0.00 10.59 37.27
time (sec) N/A 0.653 0.316 0.033 0.000 2.318 0.000 3.346 2.187
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 208 689 0 1323 0 239 2282
normalized size 1 1.00 0.98 3.25 0.00 6.24 0.00 1.13 10.76
time (sec) N/A 0.381 0.282 0.020 0.000 1.039 0.000 1.649 0.834
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 160 286 0 849 0 194 1527
normalized size 1 1.00 1.09 1.95 0.00 5.78 0.00 1.32 10.39
time (sec) N/A 0.175 0.186 0.014 0.000 0.859 0.000 1.617 1.217
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 111 158 0 538 394 120 283
normalized size 1 1.00 1.04 1.48 0.00 5.03 3.68 1.12 2.64
time (sec) N/A 0.113 0.080 0.012 0.000 0.681 5.380 1.723 0.323
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 101 127 0 474 374 102 264
normalized size 1 1.00 1.07 1.35 0.00 5.04 3.98 1.09 2.81
time (sec) N/A 0.088 0.074 0.007 0.000 0.689 3.363 1.367 0.301
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 243 361 0 1014 0 201 7119
normalized size 1 1.00 1.62 2.41 0.00 6.76 0.00 1.34 47.46
time (sec) N/A 0.331 0.330 0.018 0.000 1.432 0.000 1.710 7.884
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 379 622 0 1635 0 250 10034
normalized size 1 1.00 1.70 2.79 0.00 7.33 0.00 1.12 45.00
time (sec) N/A 0.419 0.564 0.023 0.000 3.384 0.000 1.647 9.088
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 425 425 455 1507 0 7252 0 5681 16604
normalized size 1 1.00 1.07 3.55 0.00 17.06 0.00 13.37 39.07
time (sec) N/A 3.675 1.202 0.043 0.000 5.997 0.000 6.490 4.358
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 362 1030 0 4658 0 4538 12396
normalized size 1 1.00 1.08 3.07 0.00 13.86 0.00 13.51 36.89
time (sec) N/A 1.717 0.853 0.036 0.000 2.368 0.000 6.288 5.184
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 298 733 0 3467 0 3776 9444
normalized size 1 1.00 1.08 2.66 0.00 12.56 0.00 13.68 34.22
time (sec) N/A 0.553 0.664 0.029 0.000 1.258 0.000 4.777 4.411
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 304 1761 0 4885 0 4426 12349
normalized size 1 1.00 1.04 6.01 0.00 16.67 0.00 15.11 42.15
time (sec) N/A 0.846 0.786 0.110 0.000 3.329 0.000 5.965 4.839
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 389 382 1252 0 7583 0 5408 17591
normalized size 1 1.00 0.98 3.22 0.00 19.49 0.00 13.90 45.22
time (sec) N/A 1.220 1.039 0.040 0.000 7.298 0.000 6.160 5.380
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 487 1653 0 10190 0 6327 21554
normalized size 1 1.00 0.93 3.17 0.00 19.52 0.00 12.12 41.29
time (sec) N/A 1.365 1.199 0.047 0.000 18.852 0.000 8.150 5.698
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 365 435 2054 0 3196 0 598 4501
normalized size 1 1.00 1.19 5.63 0.00 8.76 0.00 1.64 12.33
time (sec) N/A 1.455 0.663 0.031 0.000 1.270 0.000 5.883 4.660
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 354 723 0 2167 0 466 3062
normalized size 1 1.00 1.39 2.85 0.00 8.53 0.00 1.83 12.06
time (sec) N/A 0.404 0.479 0.026 0.000 0.869 0.000 6.311 5.151
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 261 398 0 1378 775 318 593
normalized size 1 1.00 1.79 2.73 0.00 9.44 5.31 2.18 4.06
time (sec) N/A 0.139 0.268 0.017 0.000 0.562 102.043 6.463 0.694
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 233 411 0 1369 833 268 625
normalized size 1 1.00 1.26 2.22 0.00 7.40 4.50 1.45 3.38
time (sec) N/A 0.262 0.236 0.020 0.000 0.619 44.844 6.587 0.680
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 172 379 0 1226 789 228 587
normalized size 1 1.00 1.01 2.23 0.00 7.21 4.64 1.34 3.45
time (sec) N/A 0.163 0.204 0.017 0.000 0.859 21.367 6.057 0.660
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 142 262 0 1109 661 208 517
normalized size 1 1.00 1.02 1.88 0.00 7.98 4.76 1.50 3.72
time (sec) N/A 0.124 0.135 0.010 0.000 0.592 12.404 5.570 0.587
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 396 1161 0 2494 0 421 11674
normalized size 1 1.00 1.57 4.61 0.00 9.90 0.00 1.67 46.33
time (sec) N/A 0.543 0.691 0.029 0.000 4.988 0.000 6.445 11.572
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 642 1862 0 3956 0 648 16265
normalized size 1 1.00 1.77 5.13 0.00 10.90 0.00 1.79 44.81
time (sec) N/A 0.771 1.500 0.039 0.000 10.165 0.000 6.371 15.906
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 554 554 644 2015 0 9636 0 3987 22911
normalized size 1 1.00 1.16 3.64 0.00 17.39 0.00 7.20 41.36
time (sec) N/A 11.195 2.398 0.069 0.000 14.453 0.000 8.280 5.047
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 461 461 543 1631 0 7060 0 7578 19041
normalized size 1 1.00 1.18 3.54 0.00 15.31 0.00 16.44 41.30
time (sec) N/A 4.622 2.021 0.048 0.000 5.167 0.000 11.662 3.951
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 447 1283 0 5650 0 3162 16688
normalized size 1 1.00 1.18 3.38 0.00 14.87 0.00 8.32 43.92
time (sec) N/A 1.415 1.696 0.049 0.000 4.426 0.000 8.261 3.487
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 438 438 436 1335 0 7270 0 7267 18992
normalized size 1 1.00 1.00 3.05 0.00 16.60 0.00 16.59 43.36
time (sec) N/A 1.090 1.646 0.046 0.000 6.678 0.000 11.773 3.916
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 460 460 516 11936 0 9909 0 4609 22914
normalized size 1 1.00 1.12 25.95 0.00 21.54 0.00 10.02 49.81
time (sec) N/A 1.353 2.189 0.281 0.000 16.221 0.000 8.537 4.614
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 18 17 17 17 19 17
normalized size 1 1.00 1.00 0.72 0.68 0.68 0.68 0.76 0.68
time (sec) N/A 0.018 0.009 0.006 0.718 0.667 0.121 0.305 0.057
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 18 25 17 17 19 17
normalized size 1 1.00 1.00 0.72 1.00 0.68 0.68 0.76 0.68
time (sec) N/A 0.029 0.006 0.004 0.739 0.656 0.115 0.283 0.029
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 30 30 37 30 32
normalized size 1 1.00 1.00 0.84 0.81 0.81 1.00 0.81 0.86
time (sec) N/A 0.035 0.013 0.003 1.401 0.546 0.120 0.282 0.212
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 53 30 37 30 32
normalized size 1 1.00 1.00 0.84 1.43 0.81 1.00 0.81 0.86
time (sec) N/A 0.042 0.006 0.003 1.597 0.655 0.121 0.372 0.034
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 41 0 47 44 38 41
normalized size 1 1.00 1.00 0.91 0.00 1.04 0.98 0.84 0.91
time (sec) N/A 0.049 0.026 0.006 0.000 0.618 0.152 0.944 0.052
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 71 91 104 61 0 102 102
normalized size 1 1.00 0.70 0.89 1.02 0.60 0.00 1.00 1.00
time (sec) N/A 0.079 0.029 0.029 0.672 0.843 0.000 0.465 0.490
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 66 74 87 56 0 88 85
normalized size 1 1.00 0.81 0.91 1.07 0.69 0.00 1.09 1.05
time (sec) N/A 0.056 0.021 0.015 0.593 0.705 0.000 0.363 0.433
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 61 57 70 51 0 74 67
normalized size 1 1.00 0.82 0.77 0.95 0.69 0.00 1.00 0.91
time (sec) N/A 0.044 0.017 0.011 0.653 0.655 0.000 0.342 0.287
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 92 85 89 95 0 98 86
normalized size 1 1.00 0.98 0.90 0.95 1.01 0.00 1.04 0.91
time (sec) N/A 0.083 0.038 0.015 1.496 0.676 0.000 0.478 0.426
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 104 89 112 0 138 84
normalized size 1 1.00 1.00 1.07 0.92 1.15 0.00 1.42 0.87
time (sec) N/A 0.083 0.041 0.016 1.350 0.681 0.000 0.515 0.878
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 97 121 106 112 0 169 -1
normalized size 1 1.00 0.98 1.22 1.07 1.13 0.00 1.71 -0.01
time (sec) N/A 0.083 0.039 0.016 1.426 0.652 0.000 0.572 0.000
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 74 118 99 90 0 189 -1
normalized size 1 1.00 0.82 1.31 1.10 1.00 0.00 2.10 -0.01
time (sec) N/A 0.068 0.026 0.015 1.453 0.735 0.000 0.532 0.000
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 82 135 116 95 0 233 -1
normalized size 1 1.00 0.74 1.22 1.05 0.86 0.00 2.10 -0.01
time (sec) N/A 0.086 0.027 0.017 1.736 0.631 0.000 0.457 0.000
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 84 152 133 100 0 255 -1
normalized size 1 1.00 0.64 1.15 1.01 0.76 0.00 1.93 -0.01
time (sec) N/A 0.109 0.037 0.019 1.730 0.722 0.000 0.563 0.000
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 322 322 237 260 0 0 0 0 -1
normalized size 1 1.00 0.74 0.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.274 0.378 0.119 0.000 0.814 0.000 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 234 243 0 0 0 0 -1
normalized size 1 1.00 0.77 0.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.203 0.256 0.014 0.000 0.682 0.000 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 279 279 229 226 0 0 0 0 -1
normalized size 1 1.00 0.82 0.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.122 0.243 0.012 0.000 0.749 0.000 0.000 0.000
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 284 284 231 225 0 0 0 0 -1
normalized size 1 1.00 0.81 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.128 0.262 0.020 0.000 0.691 0.000 0.000 0.000
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 237 228 0 0 0 0 -1
normalized size 1 1.00 0.78 0.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.158 0.260 0.020 0.000 0.775 0.000 0.000 0.000
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 81 138 135 71 0 207 -1
normalized size 1 1.00 0.64 1.09 1.06 0.56 0.00 1.63 -0.01
time (sec) N/A 0.096 0.035 0.033 0.585 0.841 0.000 0.541 0.000
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 76 121 118 66 0 179 -1
normalized size 1 1.00 0.72 1.14 1.11 0.62 0.00 1.69 -0.01
time (sec) N/A 0.072 0.031 0.016 0.878 0.573 0.000 0.587 0.000
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 71 104 101 61 0 151 127
normalized size 1 1.00 0.72 1.05 1.02 0.62 0.00 1.53 1.28
time (sec) N/A 0.058 0.025 0.016 0.666 0.642 0.000 0.452 0.530
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 104 117 120 106 0 113 -1
normalized size 1 1.00 0.87 0.98 1.01 0.89 0.00 0.95 -0.01
time (sec) N/A 0.106 0.058 0.015 1.396 0.685 0.000 0.498 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 107 117 120 122 0 153 -1
normalized size 1 1.00 0.88 0.96 0.98 1.00 0.00 1.25 -0.01
time (sec) N/A 0.107 0.054 0.021 1.746 0.594 0.000 0.559 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 107 117 137 122 0 190 -1
normalized size 1 1.00 0.84 0.92 1.08 0.96 0.00 1.50 -0.01
time (sec) N/A 0.109 0.062 0.020 1.461 0.796 0.000 0.654 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 107 117 154 122 0 227 -1
normalized size 1 1.00 0.84 0.92 1.21 0.96 0.00 1.79 -0.01
time (sec) N/A 0.107 0.051 0.022 1.585 0.624 0.000 0.681 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 356 356 249 294 0 0 0 0 -1
normalized size 1 1.00 0.70 0.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.256 0.270 0.021 0.000 0.732 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 244 277 0 0 0 0 -1
normalized size 1 1.00 0.74 0.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.214 0.254 0.017 0.000 0.729 0.000 0.000 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) A F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 308 308 0 260 0 0 0 0 -1
normalized size 1 1.00 0.00 0.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.153 0.000 0.014 0.000 0.659 0.000 0.000 0.000
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 312 312 235 260 0 0 0 0 -1
normalized size 1 1.00 0.75 0.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.151 0.261 0.019 0.000 0.575 0.000 0.000 0.000
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 314 314 247 260 0 0 0 0 -1
normalized size 1 1.00 0.79 0.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.164 0.294 0.020 0.000 0.636 0.000 0.000 0.000
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 244 259 0 0 0 0 -1
normalized size 1 1.00 0.74 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.203 0.281 0.021 0.000 0.529 0.000 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 139 286 0 315 0 138 -1
normalized size 1 1.00 0.91 1.87 0.00 2.06 0.00 0.90 -0.01
time (sec) N/A 0.203 0.111 0.030 0.000 0.836 0.000 0.544 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 101 176 0 233 0 98 -1
normalized size 1 1.00 1.01 1.76 0.00 2.33 0.00 0.98 -0.01
time (sec) N/A 0.093 0.047 0.015 0.000 0.835 0.000 0.449 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 78 93 0 178 0 69 92
normalized size 1 1.00 1.03 1.22 0.00 2.34 0.00 0.91 1.21
time (sec) N/A 0.064 0.025 0.012 0.000 1.084 0.000 0.461 1.046
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 89 76 0 517 0 0 81
normalized size 1 1.00 0.99 0.84 0.00 5.74 0.00 0.00 0.90
time (sec) N/A 0.094 0.028 0.013 0.000 1.068 0.000 0.000 0.760
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 82 104 0 197 0 124 103
normalized size 1 1.00 1.02 1.30 0.00 2.46 0.00 1.55 1.29
time (sec) N/A 0.083 0.035 0.018 0.000 1.152 0.000 0.538 0.776
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 107 194 0 255 0 339 -1
normalized size 1 1.00 0.86 1.56 0.00 2.06 0.00 2.73 -0.01
time (sec) N/A 0.145 0.075 0.019 0.000 0.868 0.000 0.516 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 148 311 0 339 0 571 -1
normalized size 1 1.00 0.84 1.76 0.00 1.92 0.00 3.23 -0.01
time (sec) N/A 0.239 0.108 0.020 0.000 0.964 0.000 0.639 0.000
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 403 403 532 815 0 0 0 0 -1
normalized size 1 1.00 1.32 2.02 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.284 2.211 0.023 0.000 0.488 0.000 0.000 0.000
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 479 607 0 0 0 0 -1
normalized size 1 1.00 1.43 1.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.149 1.373 0.011 0.000 0.731 0.000 0.000 0.000
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 302 362 0 0 0 0 -1
normalized size 1 1.00 1.07 1.28 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.083 0.254 0.010 0.000 0.764 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 448 386 0 0 0 0 -1
normalized size 1 1.00 1.44 1.24 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.131 1.070 0.020 0.000 0.686 0.000 0.000 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 376 373 656 0 0 0 0 -1
normalized size 1 1.00 0.99 1.74 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.227 0.695 0.023 0.000 0.817 0.000 0.000 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 66 87 90 56 0 60 -1
normalized size 1 1.00 0.67 0.89 0.92 0.57 0.00 0.61 -0.01
time (sec) N/A 0.087 0.028 0.019 0.926 0.550 0.000 0.370 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 61 70 73 51 0 53 -1
normalized size 1 1.00 0.79 0.91 0.95 0.66 0.00 0.69 -0.01
time (sec) N/A 0.066 0.020 0.014 0.988 0.592 0.000 0.344 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 53 56 46 0 46 -1
normalized size 1 1.00 1.00 0.95 1.00 0.82 0.00 0.82 -0.02
time (sec) N/A 0.045 0.016 0.013 1.040 0.536 0.000 0.348 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 36 39 39 0 39 35
normalized size 1 1.00 1.00 0.73 0.80 0.80 0.00 0.80 0.71
time (sec) N/A 0.032 0.009 0.012 0.923 0.898 0.000 0.468 0.523
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 69 52 58 75 0 78 56
normalized size 1 1.00 1.00 0.75 0.84 1.09 0.00 1.13 0.81
time (sec) N/A 0.062 0.013 0.012 1.929 0.828 0.000 0.435 1.009
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 62 49 51 78 0 101 83
normalized size 1 1.00 1.00 0.79 0.82 1.26 0.00 1.63 1.34
time (sec) N/A 0.050 0.015 0.015 2.021 0.519 0.000 0.386 0.663
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 67 66 68 83 0 145 -1
normalized size 1 1.00 0.81 0.80 0.82 1.00 0.00 1.75 -0.01
time (sec) N/A 0.070 0.022 0.013 2.000 0.701 0.000 0.521 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 77 83 85 90 0 167 -1
normalized size 1 1.00 0.74 0.80 0.82 0.87 0.00 1.61 -0.01
time (sec) N/A 0.088 0.024 0.017 1.981 0.540 0.000 0.507 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 298 298 229 226 0 0 0 0 -1
normalized size 1 1.00 0.77 0.76 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.175 0.271 0.018 0.000 0.722 0.000 0.000 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 270 270 222 208 0 0 0 0 -1
normalized size 1 1.00 0.82 0.77 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.120 0.244 0.013 0.000 0.646 0.000 0.000 0.000
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 257 257 159 194 0 0 0 0 -1
normalized size 1 1.00 0.62 0.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.077 0.119 0.012 0.000 1.235 0.000 0.000 0.000
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 278 278 224 211 0 0 0 0 -1
normalized size 1 1.00 0.81 0.76 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.123 0.247 0.023 0.000 0.684 0.000 0.000 0.000
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 302 302 237 228 0 0 0 0 -1
normalized size 1 1.00 0.78 0.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.163 0.263 0.018 0.000 0.729 0.000 0.000 0.000
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 72 91 73 86 0 52 -1
normalized size 1 1.00 0.94 1.18 0.95 1.12 0.00 0.68 -0.01
time (sec) N/A 0.058 0.018 0.022 0.923 0.557 0.000 0.383 0.000
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 54 95 56 81 0 46 52
normalized size 1 1.00 0.96 1.70 1.00 1.45 0.00 0.82 0.93
time (sec) N/A 0.043 0.121 0.013 0.933 0.613 0.000 0.512 0.312
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 32 46 0 21 21
normalized size 1 1.00 1.00 0.88 1.28 1.84 0.00 0.84 0.84
time (sec) N/A 0.019 0.092 0.006 0.938 0.736 0.000 0.363 0.238
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 66 67 65 107 0 78 -1
normalized size 1 1.00 1.00 1.02 0.98 1.62 0.00 1.18 -0.02
time (sec) N/A 0.057 0.024 0.019 2.006 0.724 0.000 0.556 0.000
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 88 84 82 124 0 122 -1
normalized size 1 1.00 0.98 0.93 0.91 1.38 0.00 1.36 -0.01
time (sec) N/A 0.071 0.018 0.016 2.088 0.873 0.000 0.492 0.000
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 307 307 219 240 0 0 0 0 -1
normalized size 1 1.00 0.71 0.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.163 0.258 0.024 0.000 0.753 0.000 0.000 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 286 286 219 240 0 0 0 0 -1
normalized size 1 1.00 0.77 0.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.123 0.252 0.016 0.000 0.807 0.000 0.000 0.000
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) A F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 282 282 0 240 0 0 0 0 -1
normalized size 1 1.00 0.00 0.85 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.109 0.000 0.017 0.000 0.595 0.000 0.000 0.000
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 309 309 228 257 0 0 0 0 -1
normalized size 1 1.00 0.74 0.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.164 0.270 0.026 0.000 0.778 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 234 274 0 0 0 0 -1
normalized size 1 1.00 0.72 0.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.206 0.275 0.023 0.000 0.781 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 430 0 0 0 0 0 -1
normalized size 1 1.00 1.45 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.385 0.983 0.128 0.000 0.591 0.000 0.000 0.000
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 386 0 0 0 0 0 -1
normalized size 1 1.00 1.30 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.323 5.714 0.067 0.000 0.982 0.000 0.000 0.000
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 386 0 0 0 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.321 0.709 0.059 0.000 0.753 0.000 0.000 0.000
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 370 0 0 0 0 0 -1
normalized size 1 1.00 1.25 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.317 0.859 0.062 0.000 0.564 0.000 0.000 0.000
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 299 299 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.347 0.000 0.062 0.000 0.677 0.000 0.000 0.000
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 490 0 0 0 0 0 -1
normalized size 1 1.00 1.64 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.354 6.144 0.069 0.000 0.642 0.000 0.000 0.000
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 297 297 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.351 0.000 0.058 0.000 0.808 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 447 0 0 0 0 0 -1
normalized size 1 1.00 1.51 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.348 0.993 0.065 0.000 0.586 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 354 0 0 0 0 0 -1
normalized size 1 1.00 1.19 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.328 0.589 0.051 0.000 0.559 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 242 0 0 0 0 0 -1
normalized size 1 1.00 0.81 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.322 5.141 0.027 0.000 0.666 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 241 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.325 0.195 0.025 0.000 0.506 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 356 0 0 0 0 0 -1
normalized size 1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.325 0.618 0.058 0.000 0.587 0.000 0.000 0.000
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 303 303 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.344 0.000 0.027 0.000 0.693 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 303 303 397 0 0 0 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.349 5.700 0.026 0.000 0.676 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F(-1) F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 301 301 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.350 0.000 0.039 0.000 0.951 0.000 0.000 0.000
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 301 301 460 0 0 0 0 0 -1
normalized size 1 1.00 1.53 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.351 0.973 0.134 0.000 0.569 0.000 0.000 0.000
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 191 1935 408 1357 11538 2816 769
normalized size 1 1.00 0.79 7.96 1.68 5.58 47.48 11.59 3.16
time (sec) N/A 0.176 0.298 0.009 1.388 0.742 12.378 0.750 1.058
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 117 783 230 573 4190 1178 429
normalized size 1 1.00 0.75 5.05 1.48 3.70 27.03 7.60 2.77
time (sec) N/A 0.099 0.123 0.008 1.221 0.643 5.444 0.398 0.598
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 59 221 104 171 1056 350 171
normalized size 1 1.00 0.71 2.66 1.25 2.06 12.72 4.22 2.06
time (sec) N/A 0.047 0.049 0.004 1.058 0.909 1.862 0.419 0.339
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 156 0 0 0 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.299 0.244 0.037 0.000 0.519 0.000 0.000 0.000
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 392 358 160 0 0 0 0 0 -1
normalized size 1 0.91 0.41 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.646 0.226 0.028 0.000 0.852 0.000 0.000 0.000
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 319 319 466 0 0 0 0 0 -1
normalized size 1 1.00 1.46 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.399 0.531 0.012 0.000 0.695 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 317 317 267 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.361 0.198 0.011 0.000 0.816 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 317 317 267 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.352 0.264 0.014 0.000 0.864 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 323 323 307 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.388 0.405 0.012 0.000 0.682 0.000 0.000 0.000
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 134 122 120 277 0 121 181
normalized size 1 1.00 1.00 0.91 0.90 2.07 0.00 0.90 1.35
time (sec) N/A 0.179 0.063 0.014 1.998 8.361 0.000 0.309 0.873
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 99 108 107 212 0 105 166
normalized size 1 1.00 0.84 0.92 0.91 1.80 0.00 0.89 1.41
time (sec) N/A 0.152 0.094 0.010 2.018 3.473 0.000 0.307 0.722
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 77 92 89 170 0 90 138
normalized size 1 1.00 0.73 0.88 0.85 1.62 0.00 0.86 1.31
time (sec) N/A 0.137 0.034 0.009 1.998 1.963 0.000 0.356 0.989
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 66 83 82 145 0 86 944
normalized size 1 1.00 0.69 0.86 0.85 1.51 0.00 0.90 9.83
time (sec) N/A 0.094 0.040 0.007 1.985 0.835 0.000 0.393 1.936
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 67 83 82 146 0 85 328
normalized size 1 1.00 0.70 0.86 0.85 1.52 0.00 0.89 3.42
time (sec) N/A 0.064 0.037 0.007 1.985 0.947 0.000 0.354 1.020
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 134 101 101 201 0 102 527
normalized size 1 1.00 1.18 0.89 0.89 1.76 0.00 0.89 4.62
time (sec) N/A 0.125 0.071 0.010 1.966 11.290 0.000 0.289 0.961
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 169 119 120 265 0 132 820
normalized size 1 1.00 1.31 0.92 0.93 2.05 0.00 1.02 6.36
time (sec) N/A 0.150 0.101 0.013 1.997 68.844 0.000 0.302 1.381
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 209 145 145 0 0 168 1017
normalized size 1 1.00 1.34 0.93 0.93 0.00 0.00 1.08 6.52
time (sec) N/A 0.183 0.093 0.016 2.050 0.000 0.000 0.342 1.868
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 344 405 294 4414 0 363 6097
normalized size 1 1.00 0.96 1.13 0.82 12.30 0.00 1.01 16.98
time (sec) N/A 0.346 0.360 0.017 2.048 21.106 0.000 0.541 2.056
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 373 387 289 4354 0 333 5908
normalized size 1 1.00 1.08 1.12 0.84 12.62 0.00 0.97 17.12
time (sec) N/A 0.302 0.238 0.008 2.089 3.582 0.000 0.444 1.827
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 233 363 268 4040 0 327 5111
normalized size 1 1.00 0.69 1.08 0.80 12.02 0.00 0.97 15.21
time (sec) N/A 0.274 0.151 0.009 2.627 1.678 0.000 0.434 2.199
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 232 351 275 3892 0 336 4720
normalized size 1 1.00 0.69 1.04 0.82 11.55 0.00 1.00 14.01
time (sec) N/A 0.267 0.126 0.009 1.427 1.200 0.000 0.377 1.589
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 234 363 268 4084 0 339 4802
normalized size 1 1.00 0.70 1.08 0.80 12.15 0.00 1.01 14.29
time (sec) N/A 0.273 0.145 0.008 1.090 2.282 0.000 0.416 1.672
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 389 390 292 4362 0 348 5761
normalized size 1 1.00 1.12 1.12 0.84 12.53 0.00 1.00 16.55
time (sec) N/A 0.300 0.253 0.012 1.274 6.206 0.000 0.398 1.999
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 367 406 297 4442 0 364 5972
normalized size 1 1.00 1.02 1.13 0.82 12.34 0.00 1.01 16.59
time (sec) N/A 0.301 0.401 0.012 2.123 19.675 0.000 0.395 2.257
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 135 305 220 555 0 251 305
normalized size 1 1.00 0.80 1.80 1.30 3.28 0.00 1.49 1.80
time (sec) N/A 0.367 0.210 0.020 2.075 31.512 0.000 0.364 1.302
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 142 260 197 457 0 223 647
normalized size 1 1.00 0.95 1.73 1.31 3.05 0.00 1.49 4.31
time (sec) N/A 0.247 0.112 0.019 2.047 15.332 0.000 0.351 1.487
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 153 120 252 192 487 0 220 528
normalized size 1 0.99 0.77 1.63 1.24 3.14 0.00 1.42 3.41
time (sec) N/A 0.248 0.153 0.016 2.077 6.531 0.000 0.331 1.520
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 148 114 247 186 492 0 188 527
normalized size 1 0.99 0.77 1.66 1.25 3.30 0.00 1.26 3.54
time (sec) N/A 0.187 0.141 0.015 2.027 6.692 0.000 0.281 1.411
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 117 255 196 458 0 199 649
normalized size 1 1.00 0.77 1.69 1.30 3.03 0.00 1.32 4.30
time (sec) N/A 0.181 0.133 0.017 2.030 15.717 0.000 0.383 1.493
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 241 309 228 0 0 279 1082
normalized size 1 1.00 1.15 1.48 1.09 0.00 0.00 1.33 5.18
time (sec) N/A 0.239 0.183 0.023 2.054 0.000 0.000 0.368 2.577
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 248 332 278 0 0 344 1337
normalized size 1 1.00 1.05 1.41 1.18 0.00 0.00 1.46 5.67
time (sec) N/A 0.261 0.427 0.025 2.007 0.000 0.000 0.353 2.942
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 278 363 332 0 0 350 1545
normalized size 1 1.00 1.05 1.37 1.25 0.00 0.00 1.32 5.83
time (sec) N/A 0.327 0.391 0.025 2.082 0.000 0.000 0.367 3.477
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 712 712 431 873 504 9856 0 581 18343
normalized size 1 1.00 0.61 1.23 0.71 13.84 0.00 0.82 25.76
time (sec) N/A 0.671 0.304 0.017 2.064 37.529 0.000 0.573 2.864
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 687 687 428 852 476 9822 0 595 17909
normalized size 1 1.00 0.62 1.24 0.69 14.30 0.00 0.87 26.07
time (sec) N/A 0.602 0.369 0.019 2.079 22.081 0.000 0.587 2.825
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 685 685 423 848 490 9678 0 586 17180
normalized size 1 1.00 0.62 1.24 0.72 14.13 0.00 0.86 25.08
time (sec) N/A 0.609 0.272 0.016 2.095 18.399 0.000 0.466 4.873
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 685 685 428 852 472 9774 0 603 17812
normalized size 1 1.00 0.62 1.24 0.69 14.27 0.00 0.88 26.00
time (sec) N/A 0.560 0.283 0.017 2.148 20.924 0.000 0.502 2.867
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 689 689 429 873 506 9892 0 603 17945
normalized size 1 1.00 0.62 1.27 0.73 14.36 0.00 0.88 26.04
time (sec) N/A 0.601 0.291 0.018 2.060 40.137 0.000 0.466 2.732
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 745 745 499 911 521 10188 0 639 24015
normalized size 1 1.00 0.67 1.22 0.70 13.68 0.00 0.86 32.23
time (sec) N/A 0.772 0.370 0.020 2.111 98.080 0.000 0.452 5.161
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 751 751 513 932 543 0 0 628 20828
normalized size 1 1.00 0.68 1.24 0.72 0.00 0.00 0.84 27.73
time (sec) N/A 0.686 0.386 0.021 2.110 0.000 0.000 0.497 5.219
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 40 110 0 0 0 0 -1
normalized size 1 1.00 0.57 1.57 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.096 0.074 0.000 1.140 0.000 0.000 0.000
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 36 112 0 0 0 0 -1
normalized size 1 1.00 0.51 1.60 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.061 0.092 0.023 0.000 1.194 0.000 0.000 0.000
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 46 96 0 0 0 0 -1
normalized size 1 1.00 0.46 0.97 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.055 0.106 0.019 0.000 1.189 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 37 143 0 0 0 0 -1
normalized size 1 1.00 0.61 2.34 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.041 0.079 0.033 0.000 0.796 0.000 0.000 0.000
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 54 99 0 0 0 0 -1
normalized size 1 1.00 0.48 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.075 0.017 0.000 0.822 0.000 0.000 0.000
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 35 134 0 0 0 0 -1
normalized size 1 1.00 0.61 2.35 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.053 0.072 0.020 0.000 0.662 0.000 0.000 0.000
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 60 168 0 0 0 0 -1
normalized size 1 1.00 0.81 2.27 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 0.091 0.039 0.000 1.277 0.000 0.000 0.000
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 56 115 0 0 0 0 -1
normalized size 1 1.00 0.76 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.088 0.020 0.000 0.900 0.000 0.000 0.000
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 142 159 124 206 0 156 -1
normalized size 1 1.00 0.58 0.65 0.51 0.85 0.00 0.64 -0.00
time (sec) N/A 0.130 0.184 0.011 0.918 0.635 0.000 0.376 0.000
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 56 51 50 50 0 68 -1
normalized size 1 1.00 0.52 0.47 0.46 0.46 0.00 0.63 -0.01
time (sec) N/A 0.101 0.030 0.004 0.898 0.927 0.000 0.336 0.000
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 121 119 81 155 0 109 -1
normalized size 1 1.00 0.68 0.67 0.46 0.87 0.00 0.61 -0.01
time (sec) N/A 0.076 0.113 0.007 1.080 0.975 0.000 0.461 0.000
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 83 80 45 123 0 84 -1
normalized size 1 1.00 0.55 0.53 0.30 0.81 0.00 0.55 -0.01
time (sec) N/A 0.095 0.046 0.007 1.453 0.874 0.000 0.445 0.000
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 122 128 59 134 0 116 -1
normalized size 1 1.00 0.69 0.72 0.33 0.76 0.00 0.66 -0.01
time (sec) N/A 0.091 0.109 0.013 1.080 0.804 0.000 0.471 0.000
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 90 133 83 141 0 100 -1
normalized size 1 1.00 0.51 0.75 0.47 0.80 0.00 0.56 -0.01
time (sec) N/A 0.119 0.045 0.012 1.225 0.685 0.000 0.443 0.000
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 72 73 72 79 76 79 73
normalized size 1 1.00 0.92 0.94 0.92 1.01 0.97 1.01 0.94
time (sec) N/A 0.135 0.026 0.001 1.106 0.542 0.079 0.267 0.038
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 78 73 72 79 82 79 73
normalized size 1 1.00 1.00 0.94 0.92 1.01 1.05 1.01 0.94
time (sec) N/A 0.064 0.016 0.001 1.189 0.880 0.079 0.388 0.028
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 72 73 72 79 76 79 73
normalized size 1 1.00 0.96 0.97 0.96 1.05 1.01 1.05 0.97
time (sec) N/A 0.131 0.022 0.000 1.211 0.834 0.077 0.269 0.029
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 70 69 76 78 76 70
normalized size 1 1.00 1.00 0.96 0.95 1.04 1.07 1.04 0.96
time (sec) N/A 0.044 0.015 0.002 1.173 0.547 0.077 0.354 0.029
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 77 73 70 73 79 70
normalized size 1 1.00 1.00 1.04 0.99 0.95 0.99 1.07 0.95
time (sec) N/A 0.090 0.020 0.003 1.120 0.802 0.171 0.263 0.034
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 71 75 69 74 73 74 70
normalized size 1 1.00 1.00 1.06 0.97 1.04 1.03 1.04 0.99
time (sec) N/A 0.048 0.032 0.003 1.070 0.553 0.164 0.361 0.033
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 71 76 73 76 71 97 70
normalized size 1 1.00 0.96 1.03 0.99 1.03 0.96 1.31 0.95
time (sec) N/A 0.096 0.042 0.007 1.094 0.896 0.263 0.379 0.038
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 165 214 165 426 320 160 251
normalized size 1 1.00 0.98 1.27 0.98 2.54 1.90 0.95 1.49
time (sec) N/A 0.234 0.138 0.013 2.487 0.937 1.177 0.321 0.325
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 133 176 130 350 189 125 179
normalized size 1 1.00 0.99 1.30 0.96 2.59 1.40 0.93 1.33
time (sec) N/A 0.159 0.078 0.012 2.451 0.679 1.084 0.277 0.322
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 102 141 95 302 162 91 95
normalized size 1 1.00 0.96 1.33 0.90 2.85 1.53 0.86 0.90
time (sec) N/A 0.106 0.065 0.010 2.517 0.844 0.966 0.335 0.342
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 88 118 84 268 153 75 77
normalized size 1 1.00 1.06 1.42 1.01 3.23 1.84 0.90 0.93
time (sec) N/A 0.093 0.054 0.010 2.335 0.814 0.770 0.406 0.357
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 86 89 121 87 267 155 83 81
normalized size 1 0.97 1.00 1.36 0.98 3.00 1.74 0.93 0.91
time (sec) N/A 0.118 0.061 0.013 2.462 0.978 1.118 0.293 0.367
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 105 146 103 316 167 94 98
normalized size 1 1.00 0.99 1.38 0.97 2.98 1.58 0.89 0.92
time (sec) N/A 0.137 0.063 0.013 2.385 0.935 1.527 0.261 0.357
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 135 183 139 360 284 131 128
normalized size 1 1.00 0.99 1.35 1.02 2.65 2.09 0.96 0.94
time (sec) N/A 0.252 0.088 0.015 2.463 0.894 2.133 0.327 0.383
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 166 221 174 436 328 164 156
normalized size 1 1.00 0.99 1.32 1.04 2.61 1.96 0.98 0.93
time (sec) N/A 0.330 0.095 0.016 2.570 0.896 2.679 0.417 0.403
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 170 239 175 504 235 160 223
normalized size 1 1.00 0.98 1.38 1.01 2.91 1.36 0.92 1.29
time (sec) N/A 0.321 0.111 0.015 2.466 0.968 3.583 0.359 0.354
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 141 202 139 462 212 125 137
normalized size 1 1.00 0.99 1.41 0.97 3.23 1.48 0.87 0.96
time (sec) N/A 0.210 0.087 0.013 2.509 0.675 3.370 0.471 0.344
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 122 179 126 421 201 107 118
normalized size 1 1.00 0.98 1.44 1.02 3.40 1.62 0.86 0.95
time (sec) N/A 0.138 0.104 0.011 2.461 0.815 2.621 0.263 0.386
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 110 131 121 391 196 101 112
normalized size 1 1.00 0.96 1.14 1.05 3.40 1.70 0.88 0.97
time (sec) N/A 0.116 0.096 0.010 2.462 0.767 1.501 0.312 0.379
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 124 124 182 129 421 202 110 118
normalized size 1 0.98 0.98 1.43 1.02 3.31 1.59 0.87 0.93
time (sec) N/A 0.204 0.135 0.013 2.650 0.697 2.142 0.316 0.390
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 141 207 147 476 214 128 138
normalized size 1 1.00 0.99 1.46 1.04 3.35 1.51 0.90 0.97
time (sec) N/A 0.217 0.085 0.016 2.594 0.881 2.924 0.340 0.398
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 173 245 183 514 330 164 168
normalized size 1 1.00 1.01 1.43 1.07 3.01 1.93 0.96 0.98
time (sec) N/A 0.373 0.114 0.016 2.453 0.946 3.757 0.347 0.412
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 228 538 0 0 0 236 7024
normalized size 1 1.00 0.99 2.34 0.00 0.00 0.00 1.03 30.54
time (sec) N/A 0.487 0.243 0.016 0.000 0.000 0.000 1.728 69.941
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 186 408 0 0 0 194 2304
normalized size 1 1.00 0.98 2.16 0.00 0.00 0.00 1.03 12.19
time (sec) N/A 0.329 0.187 0.010 0.000 0.000 0.000 2.185 15.207
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 139 289 0 421 0 157 1853
normalized size 1 1.00 0.88 1.83 0.00 2.66 0.00 0.99 11.73
time (sec) N/A 0.261 0.106 0.010 0.000 144.356 0.000 1.843 11.051
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 114 176 0 321 0 133 3704
normalized size 1 1.00 0.86 1.33 0.00 2.43 0.00 1.01 28.06
time (sec) N/A 0.157 0.070 0.008 0.000 27.802 0.000 1.720 9.751
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 112 176 0 321 0 134 2434
normalized size 1 1.00 0.84 1.32 0.00 2.41 0.00 1.01 18.30
time (sec) N/A 0.123 0.068 0.010 0.000 19.134 0.000 1.908 8.707
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F(-2) F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 242 298 0 0 0 172 6285
normalized size 1 1.00 1.45 1.78 0.00 0.00 0.00 1.03 37.63
time (sec) N/A 0.306 0.321 0.011 0.000 0.000 0.000 1.917 17.199
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 331 430 0 0 0 237 5368
normalized size 1 1.00 1.61 2.10 0.00 0.00 0.00 1.16 26.19
time (sec) N/A 0.470 0.343 0.019 0.000 0.000 0.000 1.962 62.948
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 426 584 0 0 0 332 10300
normalized size 1 1.00 1.59 2.18 0.00 0.00 0.00 1.24 38.43
time (sec) N/A 0.597 0.434 0.020 0.000 0.000 0.000 1.462 144.755
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 463 1449 0 0 0 12506 41755
normalized size 1 1.00 1.20 3.74 0.00 0.00 0.00 32.32 107.89
time (sec) N/A 4.032 0.614 0.042 0.000 0.000 0.000 12.649 7.134
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 385 1098 0 0 0 11030 33892
normalized size 1 1.00 1.19 3.40 0.00 0.00 0.00 34.15 104.93
time (sec) N/A 1.366 0.520 0.036 0.000 0.000 0.000 13.868 6.446
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 323 764 0 15553 0 8658 25202
normalized size 1 1.00 1.15 2.73 0.00 55.55 0.00 30.92 90.01
time (sec) N/A 0.894 0.334 0.026 0.000 9.379 0.000 11.236 5.800
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 277 478 0 12269 0 6921 19401
normalized size 1 1.00 1.10 1.90 0.00 48.88 0.00 27.57 77.29
time (sec) N/A 0.451 0.498 0.024 0.000 3.757 0.000 8.453 4.959
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 274 480 0 0 0 7650 23640
normalized size 1 1.00 1.08 1.89 0.00 0.00 0.00 30.12 93.07
time (sec) N/A 0.520 0.248 0.027 0.000 0.000 0.000 9.134 5.614
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 340 817 0 0 0 10058 33644
normalized size 1 1.00 1.14 2.74 0.00 0.00 0.00 33.75 112.90
time (sec) N/A 0.960 0.399 0.030 0.000 0.000 0.000 12.818 5.890
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 410 1160 0 0 0 12268 42882
normalized size 1 1.00 1.18 3.33 0.00 0.00 0.00 35.25 123.22
time (sec) N/A 1.549 0.525 0.040 0.000 0.000 0.000 12.000 6.726
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 866 866 267 336 0 0 0 0 43112
normalized size 1 1.00 0.31 0.39 0.00 0.00 0.00 0.00 49.78
time (sec) N/A 2.509 0.377 0.096 0.000 0.000 0.000 0.000 6.836
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 272 267 1049 0 0 0 0 -1
normalized size 1 1.00 0.98 3.86 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.573 0.435 0.043 0.000 0.000 0.000 0.000 0.000
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 205 887 0 1231 0 0 -1
normalized size 1 1.00 0.99 4.26 0.00 5.92 0.00 0.00 -0.00
time (sec) N/A 0.315 0.262 0.010 0.000 46.630 0.000 0.000 0.000
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 167 757 0 1050 0 0 -1
normalized size 1 1.00 0.99 4.51 0.00 6.25 0.00 0.00 -0.01
time (sec) N/A 0.217 0.128 0.005 0.000 3.691 0.000 0.000 0.000
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 179 851 0 2367 0 0 -1
normalized size 1 1.00 0.96 4.58 0.00 12.73 0.00 0.00 -0.01
time (sec) N/A 0.256 0.149 0.017 0.000 162.637 0.000 0.000 0.000
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 165 1009 0 1094 0 216 -1
normalized size 1 1.00 0.46 2.80 0.00 3.03 0.00 0.60 -0.00
time (sec) N/A 0.509 0.315 0.020 0.000 1.490 0.000 0.523 0.000
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 424 619 209 528 0 0 0 0 -1
normalized size 1 1.46 0.49 1.25 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.561 0.259 0.101 0.000 1.047 0.000 0.000 0.000
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 591 204 509 0 0 0 0 -1
normalized size 1 1.42 0.49 1.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.410 0.195 0.009 0.000 0.986 0.000 0.000 0.000
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 470 127 341 0 0 0 0 -1
normalized size 1 1.23 0.33 0.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.202 0.109 0.006 0.000 1.083 0.000 0.000 0.000
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 208 511 0 0 0 0 -1
normalized size 1 1.00 0.52 1.28 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.242 0.190 0.013 0.000 1.027 0.000 0.000 0.000
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 154 448 0 0 0 0 -1
normalized size 1 1.00 0.43 1.24 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.194 0.173 0.021 0.000 0.982 0.000 0.000 0.000
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 546 546 224 549 0 0 0 0 -1
normalized size 1 1.00 0.41 1.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.544 0.238 0.020 0.000 1.154 0.000 0.000 0.000
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 482 482 545 2068 0 0 0 0 -1
normalized size 1 1.00 1.13 4.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.103 0.976 0.062 0.000 0.000 0.000 0.000 0.000
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 344 1696 0 0 0 0 -1
normalized size 1 1.00 0.96 4.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.697 0.600 0.014 0.000 0.000 0.000 0.000 0.000
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F(-2) F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 255 1411 0 0 0 0 -1
normalized size 1 1.00 0.95 5.25 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.456 0.351 0.007 0.000 0.000 0.000 0.000 0.000
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 251 1270 0 0 0 0 -1
normalized size 1 1.00 0.72 3.63 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.573 0.534 0.036 0.000 0.000 0.000 0.000 0.000
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 562 562 240 1207 0 0 0 0 -1
normalized size 1 1.00 0.43 2.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.924 0.503 0.033 0.000 0.000 0.000 0.000 0.000
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 875 214 547 0 0 0 0 -1
normalized size 1 1.89 0.46 1.18 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.672 0.272 0.036 0.000 1.323 0.000 0.000 0.000
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 428 602 209 377 0 0 0 0 -1
normalized size 1 1.41 0.49 0.88 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.349 0.149 0.007 0.000 1.281 0.000 0.000 0.000
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 722 722 213 528 0 0 0 0 -1
normalized size 1 1.00 0.30 0.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.368 0.206 0.016 0.000 1.155 0.000 0.000 0.000
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 625 625 219 530 0 0 0 0 -1
normalized size 1 1.00 0.35 0.85 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.366 0.218 0.017 0.000 1.261 0.000 0.000 0.000
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 553 553 224 549 0 0 0 0 -1
normalized size 1 1.00 0.41 0.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.488 0.245 0.018 0.000 1.083 0.000 0.000 0.000
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 171 267 0 1364 0 0 -1
normalized size 1 1.00 0.99 1.54 0.00 7.88 0.00 0.00 -0.01
time (sec) N/A 0.314 0.367 0.020 0.000 54.253 0.000 0.000 0.000
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 133 204 0 1084 0 0 -1
normalized size 1 1.00 0.97 1.49 0.00 7.91 0.00 0.00 -0.01
time (sec) N/A 0.157 0.118 0.010 0.000 3.574 0.000 0.000 0.000
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 87 165 0 357 0 75 -1
normalized size 1 1.00 1.01 1.92 0.00 4.15 0.00 0.87 -0.01
time (sec) N/A 0.084 0.018 0.007 0.000 1.318 0.000 0.486 0.000
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 134 207 0 1097 0 0 -1
normalized size 1 1.00 0.97 1.50 0.00 7.95 0.00 0.00 -0.01
time (sec) N/A 0.195 0.140 0.010 0.000 1.385 0.000 0.000 0.000
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 175 276 0 1414 0 208 -1
normalized size 1 1.00 0.80 1.27 0.00 6.49 0.00 0.95 -0.00
time (sec) N/A 0.266 0.367 0.011 0.000 2.933 0.000 0.488 0.000
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 418 127 222 0 0 0 0 -1
normalized size 1 1.00 0.30 0.53 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.184 0.207 0.022 0.000 1.216 0.000 0.000 0.000
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 99 134 0 0 0 0 -1
normalized size 1 1.00 0.40 0.54 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.126 0.124 0.009 0.000 1.376 0.000 0.000 0.000
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 80 70 0 0 0 0 -1
normalized size 1 1.00 0.33 0.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.111 0.057 0.006 0.000 1.249 0.000 0.000 0.000
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 147 178 0 0 0 0 -1
normalized size 1 1.00 0.37 0.45 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.347 0.218 0.016 0.000 1.313 0.000 0.000 0.000
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 422 422 219 260 0 0 0 0 -1
normalized size 1 1.00 0.52 0.62 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.517 0.184 0.014 0.000 1.363 0.000 0.000 0.000
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 271 720 0 4901 0 0 -1
normalized size 1 1.00 1.15 3.05 0.00 20.77 0.00 0.00 -0.00
time (sec) N/A 0.474 0.821 0.063 0.000 151.802 0.000 0.000 0.000
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 204 613 0 1381 0 458 -1
normalized size 1 1.00 1.22 3.67 0.00 8.27 0.00 2.74 -0.01
time (sec) N/A 0.294 0.616 0.015 0.000 1.971 0.000 0.720 0.000
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 162 506 0 1349 0 441 -1
normalized size 1 1.00 1.02 3.18 0.00 8.48 0.00 2.77 -0.01
time (sec) N/A 0.191 0.172 0.011 0.000 2.139 0.000 0.641 0.000
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 167 454 0 1379 0 454 -1
normalized size 1 1.00 1.01 2.73 0.00 8.31 0.00 2.73 -0.01
time (sec) N/A 0.171 0.149 0.008 0.000 2.158 0.000 0.618 0.000
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 236 612 0 4909 0 0 -1
normalized size 1 1.00 0.89 2.30 0.00 18.45 0.00 0.00 -0.00
time (sec) N/A 0.388 0.731 0.024 0.000 9.527 0.000 0.000 0.000
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 419 419 350 863 0 6486 0 762 -1
normalized size 1 1.00 0.84 2.06 0.00 15.48 0.00 1.82 -0.00
time (sec) N/A 0.564 1.477 0.028 0.000 22.070 0.000 2.736 0.000
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 566 199 603 0 0 0 0 -1
normalized size 1 1.26 0.44 1.34 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.347 0.277 0.046 0.000 1.152 0.000 0.000 0.000
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 503 199 586 0 0 0 0 -1
normalized size 1 1.19 0.47 1.39 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.256 0.205 0.010 0.000 1.492 0.000 0.000 0.000
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 422 501 199 561 0 0 0 0 -1
normalized size 1 1.19 0.47 1.33 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.240 0.206 0.010 0.000 1.375 0.000 0.000 0.000
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 503 199 536 0 0 0 0 -1
normalized size 1 1.19 0.47 1.27 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.242 0.180 0.010 0.000 1.105 0.000 0.000 0.000
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 422 501 199 366 0 0 0 0 -1
normalized size 1 1.19 0.47 0.87 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.226 0.137 0.007 0.000 1.209 0.000 0.000 0.000
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 468 644 211 553 0 0 0 0 -1
normalized size 1 1.38 0.45 1.18 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.445 0.225 0.018 0.000 1.306 0.000 0.000 0.000
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F(-1) F(-1) B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 406 406 943 496 0 0 0 928 11195
normalized size 1 1.00 2.32 1.22 0.00 0.00 0.00 2.29 27.57
time (sec) N/A 8.593 10.842 0.059 0.000 0.000 0.000 0.650 2.476
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 591 332 0 0 0 745 8222
normalized size 1 1.00 1.82 1.02 0.00 0.00 0.00 2.30 25.38
time (sec) N/A 3.529 7.251 0.033 0.000 0.000 0.000 0.819 1.994
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 308 275 0 2435 0 619 5705
normalized size 1 1.00 1.05 0.94 0.00 8.34 0.00 2.12 19.54
time (sec) N/A 3.600 0.547 0.026 0.000 134.689 0.000 0.782 2.342
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 179 177 0 1085 0 228 717
normalized size 1 1.00 0.89 0.88 0.00 5.37 0.00 1.13 3.55
time (sec) N/A 0.363 0.328 0.016 0.000 19.819 0.000 0.555 1.723
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 241 294 0 3126 0 717 10964
normalized size 1 1.00 0.86 1.05 0.00 11.12 0.00 2.55 39.02
time (sec) N/A 1.350 0.814 0.030 0.000 147.577 0.000 0.675 6.875
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 370 349 401 0 0 0 0 19959
normalized size 1 0.97 0.91 1.05 0.00 0.00 0.00 0.00 52.25
time (sec) N/A 4.134 1.389 0.030 0.000 0.000 0.000 0.000 5.460
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 552 552 466 655 0 0 0 1055 33925
normalized size 1 1.00 0.84 1.19 0.00 0.00 0.00 1.91 61.46
time (sec) N/A 4.244 1.967 0.035 0.000 0.000 0.000 0.905 7.300
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 390 390 10915 290 0 6534 0 53 -1
normalized size 1 1.00 27.99 0.74 0.00 16.75 0.00 0.14 -0.00
time (sec) N/A 2.919 6.397 0.040 0.000 62.645 0.000 2.038 0.000
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 324 324 7768 224 0 3260 0 27 -1
normalized size 1 1.00 23.98 0.69 0.00 10.06 0.00 0.08 -0.00
time (sec) N/A 1.517 6.171 0.027 0.000 10.794 0.000 1.832 0.000
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 2585 161 0 985 0 0 -1
normalized size 1 1.00 10.77 0.67 0.00 4.10 0.00 0.00 -0.00
time (sec) N/A 0.318 5.125 0.018 0.000 2.980 0.000 0.000 0.000
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 291 291 4644 272 0 2402 0 0 -1
normalized size 1 1.00 15.96 0.93 0.00 8.25 0.00 0.00 -0.00
time (sec) N/A 0.671 6.322 0.029 0.000 5.057 0.000 0.000 0.000
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 373 373 7777 322 0 4095 0 0 -1
normalized size 1 1.00 20.85 0.86 0.00 10.98 0.00 0.00 -0.00
time (sec) N/A 2.527 6.391 0.038 0.000 23.172 0.000 0.000 0.000
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 512 512 10933 503 0 5773 0 0 -1
normalized size 1 1.00 21.35 0.98 0.00 11.28 0.00 0.00 -0.00
time (sec) N/A 4.943 6.586 0.038 0.000 53.957 0.000 0.000 0.000
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 460 460 457 490 0 0 0 857 16951
normalized size 1 1.00 0.99 1.07 0.00 0.00 0.00 1.86 36.85
time (sec) N/A 5.084 0.966 0.033 0.000 0.000 0.000 1.246 3.413
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 327 327 324 279 0 0 0 649 12392
normalized size 1 1.00 0.99 0.85 0.00 0.00 0.00 1.98 37.90
time (sec) N/A 1.456 0.568 0.021 0.000 0.000 0.000 1.089 4.129
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 333 388 0 0 0 827 28434
normalized size 1 1.00 0.96 1.12 0.00 0.00 0.00 2.39 82.18
time (sec) N/A 1.744 1.379 0.029 0.000 0.000 0.000 1.024 7.673
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 416 380 555 0 0 0 433 35855
normalized size 1 1.00 0.91 1.33 0.00 0.00 0.00 1.04 85.98
time (sec) N/A 3.243 1.600 0.043 0.000 0.000 0.000 0.725 6.097
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F(-1) F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 595 595 18689 516 0 0 0 104 -1
normalized size 1 1.00 31.41 0.87 0.00 0.00 0.00 0.17 -0.00
time (sec) N/A 3.285 6.489 0.039 0.000 0.000 0.000 1.869 0.000
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F(-1) F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 491 491 14032 382 0 0 0 58 -1
normalized size 1 1.00 28.58 0.78 0.00 0.00 0.00 0.12 -0.00
time (sec) N/A 1.802 6.261 0.033 0.000 0.000 0.000 1.975 0.000
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 487 487 9290 217 0 7721 0 27 -1
normalized size 1 1.00 19.08 0.45 0.00 15.85 0.00 0.06 -0.00
time (sec) N/A 1.572 6.160 0.027 0.000 57.446 0.000 1.968 0.000
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 260 432 7789 360 0 4059 0 0 -1
normalized size 1 1.66 29.96 1.38 0.00 15.61 0.00 0.00 -0.00
time (sec) N/A 0.855 6.302 0.036 0.000 29.108 0.000 0.000 0.000
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 523 523 9321 511 0 7830 0 0 -1
normalized size 1 1.00 17.82 0.98 0.00 14.97 0.00 0.00 -0.00
time (sec) N/A 2.617 6.408 0.036 0.000 144.243 0.000 0.000 0.000
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 354 2134 0 3615 0 4637 917
normalized size 1 1.00 1.26 7.59 0.00 12.86 0.00 16.50 3.26
time (sec) N/A 7.336 0.542 0.099 0.000 16.517 0.000 4.484 1.450
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 276 1223 0 2053 0 4060 776
normalized size 1 1.00 1.21 5.34 0.00 8.97 0.00 17.73 3.39
time (sec) N/A 1.751 0.387 0.063 0.000 6.333 0.000 4.104 1.311
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 169 1167 0 871 0 591 649
normalized size 1 1.00 0.93 6.41 0.00 4.79 0.00 3.25 3.57
time (sec) N/A 0.268 0.243 0.051 0.000 2.843 0.000 4.242 1.288
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 212 2099 0 1232 0 3639 669
normalized size 1 1.00 0.88 8.71 0.00 5.11 0.00 15.10 2.78
time (sec) N/A 1.645 0.432 0.064 0.000 13.247 0.000 3.674 1.298
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 290 292 2770 0 2799 0 1675 825
normalized size 1 1.00 1.01 9.55 0.00 9.65 0.00 5.78 2.84
time (sec) N/A 2.362 0.762 0.085 0.000 38.359 0.000 7.120 1.410
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 10606 222 0 2860 0 1710 1024
normalized size 1 1.00 32.63 0.68 0.00 8.80 0.00 5.26 3.15
time (sec) N/A 5.391 6.307 0.042 0.000 5.754 0.000 6.686 1.300
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 7543 175 0 1430 0 3580 870
normalized size 1 1.00 28.68 0.67 0.00 5.44 0.00 13.61 3.31
time (sec) N/A 2.135 6.140 0.023 0.000 2.718 0.000 4.734 1.272
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 220 220 2266 130 0 759 0 641 989
normalized size 1 1.00 10.30 0.59 0.00 3.45 0.00 2.91 4.50
time (sec) N/A 0.294 5.418 0.013 0.000 1.255 0.000 5.122 1.268
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F B F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 2661 217 0 1998 0 3965 1234
normalized size 1 1.00 10.04 0.82 0.00 7.54 0.00 14.96 4.66
time (sec) N/A 0.780 4.946 0.027 0.000 1.861 0.000 5.037 1.205
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C B F B F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 743 160 0 290 0 209 383
normalized size 1 1.00 7.74 1.67 0.00 3.02 0.00 2.18 3.99
time (sec) N/A 0.200 0.496 0.088 0.000 1.087 0.000 0.718 1.500
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 479 479 461 377 0 0 0 105 -1
normalized size 1 1.00 0.96 0.79 0.00 0.00 0.00 0.22 -0.00
time (sec) N/A 1.858 1.868 0.034 0.000 0.000 0.000 2.027 0.000
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 366 366 355 269 0 0 0 55 -1
normalized size 1 1.00 0.97 0.73 0.00 0.00 0.00 0.15 -0.00
time (sec) N/A 1.173 1.030 0.026 0.000 0.000 0.000 2.140 0.000
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 292 200 0 11094 0 27 -1
normalized size 1 1.00 0.98 0.67 0.00 37.23 0.00 0.09 -0.00
time (sec) N/A 0.724 0.588 0.022 0.000 44.771 0.000 2.049 0.000
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 227 161 0 3395 0 0 -1
normalized size 1 1.00 0.95 0.67 0.00 14.15 0.00 0.00 -0.00
time (sec) N/A 0.304 0.478 0.017 0.000 10.218 0.000 0.000 0.000
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 229 151 0 4557 0 0 -1
normalized size 1 1.00 0.94 0.62 0.00 18.75 0.00 0.00 -0.00
time (sec) N/A 0.178 0.406 0.016 0.000 23.398 0.000 0.000 0.000
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 271 197 0 6431 0 0 -1
normalized size 1 1.00 0.97 0.70 0.00 22.97 0.00 0.00 -0.00
time (sec) N/A 0.602 1.013 0.025 0.000 46.072 0.000 0.000 0.000
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 320 248 0 0 0 0 -1
normalized size 1 1.00 0.94 0.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.741 0.686 0.029 0.000 0.000 0.000 0.000 0.000
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 443 443 383 350 0 0 0 0 -1
normalized size 1 1.00 0.86 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.432 1.636 0.036 0.000 0.000 0.000 0.000 0.000
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F(-1) F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 350 507 10968 480 0 0 0 75 -1
normalized size 1 1.45 31.34 1.37 0.00 0.00 0.00 0.21 -0.00
time (sec) N/A 4.328 11.262 0.040 0.000 0.000 0.000 2.254 0.000
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 360 360 2162 338 0 0 0 0 -1
normalized size 1 1.00 6.01 0.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.267 7.897 0.034 0.000 0.000 0.000 0.000 0.000
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 333 333 2119 252 0 0 0 0 -1
normalized size 1 1.00 6.36 0.76 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.658 6.719 0.029 0.000 0.000 0.000 0.000 0.000
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 341 341 2112 246 0 0 0 0 -1
normalized size 1 1.00 6.19 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.774 7.152 0.024 0.000 0.000 0.000 0.000 0.000
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 339 462 2158 387 0 0 0 0 -1
normalized size 1 1.36 6.37 1.14 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.837 6.774 0.037 0.000 0.000 0.000 0.000 0.000
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A C C F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 419 647 2218 541 0 0 0 0 -1
normalized size 1 1.54 5.29 1.29 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.566 6.796 0.042 0.000 0.000 0.000 0.000 0.000
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 243 243 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.650 0.206 0.086 0.000 1.408 0.000 0.000 0.000
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 272 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.939 0.791 0.096 0.000 1.593 0.000 0.000 0.000
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 211 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.542 0.343 0.075 0.000 1.222 0.000 0.000 0.000
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 183 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.329 0.204 0.092 0.000 0.845 0.000 0.000 0.000
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 168 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.357 0.264 0.097 0.000 0.867 0.000 0.000 0.000
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 218 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.502 0.351 0.070 0.000 1.333 0.000 0.000 0.000
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 259 0 0 0 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.663 0.348 0.076 0.000 0.826 0.000 0.000 0.000
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 339 339 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.628 0.494 0.073 0.000 0.834 0.000 0.000 0.000
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 273 273 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.531 0.235 0.099 0.000 0.964 0.000 0.000 0.000
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 162 162 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.314 0.099 0.088 0.000 1.206 0.000 0.000 0.000
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 190 190 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.294 0.035 0.073 0.000 1.049 0.000 0.000 0.000
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 264 264 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.553 0.205 0.095 0.000 0.769 0.000 0.000 0.000
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 328 328 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.620 0.500 0.096 0.000 0.531 0.000 0.000 0.000
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 44 44 101 0 120 0 42 -1
normalized size 1 1.10 1.10 2.52 0.00 3.00 0.00 1.05 -0.02
time (sec) N/A 0.072 0.052 0.059 0.000 1.408 0.000 0.222 0.000

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 [252] had the largest ratio of [.5000]

Table 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 3 2 1.00 20 0.100
2 A 2 1 1.00 20 0.050
3 A 4 3 1.00 18 0.167
4 A 2 1 1.00 17 0.059
5 A 3 2 1.00 20 0.100
6 A 2 1 1.00 20 0.050
7 A 3 2 1.00 20 0.100
8 A 5 5 1.00 20 0.250
9 A 4 4 1.00 20 0.200
10 A 4 4 1.00 18 0.222
11 A 7 7 1.00 20 0.350
12 A 7 7 1.00 20 0.350
13 A 7 7 1.00 20 0.350
14 A 6 6 1.00 20 0.300
15 A 6 5 1.00 20 0.250
16 A 5 5 1.00 20 0.250
17 A 4 4 1.00 17 0.235
18 A 4 4 1.00 20 0.200
19 A 5 5 1.00 20 0.250
20 A 6 5 1.00 20 0.250
21 A 5 4 1.00 20 0.200
22 A 5 4 1.00 18 0.222
23 A 8 7 1.00 20 0.350
24 A 8 8 1.00 20 0.400
25 A 8 7 1.00 20 0.350
26 A 8 8 1.00 20 0.400
27 A 7 5 1.00 20 0.250
28 A 6 5 1.00 20 0.250
29 A 5 4 1.00 17 0.235
30 A 5 5 1.00 20 0.250
31 A 5 4 1.00 20 0.200
32 A 5 4 1.00 20 0.200
33 A 4 4 1.00 20 0.200
34 A 3 3 1.00 20 0.150
35 A 3 3 1.00 18 0.167
36 A 6 6 1.00 20 0.300
37 A 5 5 1.00 20 0.250
38 A 6 6 1.00 20 0.300
39 A 5 4 1.00 20 0.200
40 A 4 4 1.00 20 0.200
41 A 3 3 1.00 17 0.176
42 A 4 4 1.00 20 0.200
43 A 5 4 1.00 20 0.200
44 A 4 4 1.00 20 0.200
45 A 4 4 1.00 20 0.200
46 A 3 3 1.00 20 0.150
47 A 2 2 1.00 18 0.111
48 A 6 6 1.00 20 0.300
49 A 6 6 1.00 20 0.300
50 A 5 5 1.00 20 0.250
51 A 4 4 1.00 20 0.200
52 A 4 4 1.00 17 0.235
53 A 5 5 1.00 20 0.250
54 A 6 5 1.00 20 0.250
55 A 3 2 1.00 25 0.080
56 A 4 3 1.00 23 0.130
57 A 3 2 1.00 23 0.087
58 A 4 3 1.00 23 0.130
59 A 3 2 1.00 23 0.087
60 A 4 3 1.00 21 0.143
61 A 3 2 1.00 20 0.100
62 A 5 4 1.00 23 0.174
63 A 3 2 1.00 23 0.087
64 A 4 3 1.00 23 0.130
65 A 3 2 1.00 23 0.087
66 A 4 3 1.00 21 0.143
67 A 3 2 1.00 21 0.095
68 A 4 3 1.00 21 0.143
69 A 3 2 1.00 21 0.095
70 A 2 2 1.00 19 0.105
71 A 3 2 1.00 18 0.111
72 A 4 3 1.00 21 0.143
73 A 3 2 1.00 21 0.095
74 A 4 3 1.00 21 0.143
75 A 4 4 1.00 33 0.121
76 A 4 4 1.00 31 0.129
77 A 3 3 1.00 30 0.100
78 A 4 3 1.00 33 0.091
79 A 3 3 1.00 33 0.091
80 A 4 3 1.00 33 0.091
81 A 4 4 1.00 33 0.121
82 A 3 3 1.00 31 0.097
83 A 4 4 1.00 30 0.133
84 A 4 3 1.00 33 0.091
85 A 5 4 1.00 33 0.121
86 A 4 3 1.00 33 0.091
87 A 3 2 1.00 35 0.057
88 A 3 2 1.00 35 0.057
89 A 3 2 1.00 35 0.057
90 A 3 3 1.00 35 0.086
91 A 3 3 1.00 35 0.086
92 A 2 2 1.00 29 0.069
93 A 5 4 1.00 31 0.129
94 A 5 4 1.00 31 0.129
95 A 3 2 1.00 25 0.080
96 A 2 1 1.00 25 0.040
97 A 3 2 1.00 23 0.087
98 A 2 1 1.00 22 0.045
99 A 3 2 1.00 25 0.080
100 A 2 1 1.00 25 0.040
101 A 3 2 1.00 25 0.080
102 A 7 6 1.00 25 0.240
103 A 6 6 1.00 25 0.240
104 A 5 5 1.00 23 0.217
105 A 7 6 1.00 25 0.240
106 A 7 6 1.00 25 0.240
107 A 5 3 1.00 25 0.120
108 A 4 3 1.00 25 0.120
109 A 3 2 1.00 22 0.091
110 A 4 3 1.00 25 0.120
111 A 5 3 1.00 25 0.120
112 A 7 7 1.00 25 0.280
113 A 6 6 1.00 25 0.240
114 A 4 4 1.00 25 0.160
115 A 4 4 1.00 23 0.174
116 A 8 7 1.00 25 0.280
117 A 8 7 1.00 25 0.280
118 A 6 4 1.00 25 0.160
119 A 5 4 1.00 25 0.160
120 A 4 3 1.00 25 0.120
121 A 4 3 1.00 22 0.136
122 A 5 4 1.00 25 0.160
123 A 6 4 1.00 25 0.160
124 A 8 7 1.00 25 0.280
125 A 7 6 1.00 25 0.240
126 A 5 5 1.00 25 0.200
127 A 5 5 1.00 25 0.200
128 A 5 5 1.00 25 0.200
129 A 5 5 1.00 23 0.217
130 A 9 7 1.00 25 0.280
131 A 9 7 1.00 25 0.280
132 A 7 4 1.00 25 0.160
133 A 6 4 1.00 25 0.160
134 A 5 3 1.00 25 0.120
135 A 5 4 1.00 25 0.160
136 A 5 3 1.00 22 0.136
137 A 4 3 1.00 21 0.143
138 A 5 4 1.00 22 0.182
139 A 5 5 1.00 17 0.294
140 A 6 6 1.00 18 0.333
141 A 5 5 1.00 22 0.227
142 A 6 6 1.00 25 0.240
143 A 5 5 1.00 25 0.200
144 A 5 5 1.00 23 0.217
145 A 7 6 1.00 25 0.240
146 A 7 6 1.00 25 0.240
147 A 7 6 1.00 25 0.240
148 A 5 5 1.00 25 0.200
149 A 6 6 1.00 25 0.240
150 A 7 6 1.00 25 0.240
151 A 6 5 1.00 25 0.200
152 A 5 5 1.00 25 0.200
153 A 4 4 1.00 22 0.182
154 A 4 4 1.00 25 0.160
155 A 5 5 1.00 25 0.200
156 A 7 6 1.00 25 0.240
157 A 6 5 1.00 25 0.200
158 A 6 5 1.00 23 0.217
159 A 8 6 1.00 25 0.240
160 A 8 7 1.00 25 0.280
161 A 8 6 1.00 25 0.240
162 A 8 7 1.00 25 0.280
163 A 7 5 1.00 25 0.200
164 A 6 5 1.00 25 0.200
165 A 5 4 1.00 22 0.182
166 A 5 5 1.00 25 0.200
167 A 5 4 1.00 25 0.160
168 A 6 5 1.00 25 0.200
169 A 5 5 1.00 27 0.185
170 A 4 4 1.00 27 0.148
171 A 4 4 1.00 25 0.160
172 A 6 5 1.00 27 0.185
173 A 4 4 1.00 27 0.148
174 A 5 5 1.00 27 0.185
175 A 6 5 1.00 27 0.185
176 A 5 4 1.00 27 0.148
177 A 4 4 1.00 27 0.148
178 A 3 3 1.00 24 0.125
179 A 4 4 1.00 27 0.148
180 A 5 4 1.00 27 0.148
181 A 6 5 1.00 25 0.200
182 A 5 5 1.00 25 0.200
183 A 4 4 1.00 25 0.160
184 A 4 4 1.00 23 0.174
185 A 6 5 1.00 25 0.200
186 A 4 4 1.00 25 0.160
187 A 5 5 1.00 25 0.200
188 A 6 5 1.00 25 0.200
189 A 5 4 1.00 25 0.160
190 A 4 4 1.00 25 0.160
191 A 3 3 1.00 22 0.136
192 A 4 4 1.00 25 0.160
193 A 5 4 1.00 25 0.160
194 A 5 5 1.00 25 0.200
195 A 4 4 1.00 25 0.160
196 A 2 2 1.00 23 0.087
197 A 5 5 1.00 25 0.200
198 A 5 5 1.00 25 0.200
199 A 5 5 1.00 25 0.200
200 A 4 4 1.00 25 0.160
201 A 4 4 1.00 22 0.182
202 A 5 5 1.00 25 0.200
203 A 6 5 1.00 25 0.200
204 A 6 3 1.00 31 0.097
205 A 6 3 1.00 31 0.097
206 A 6 3 1.00 31 0.097
207 A 6 3 1.00 31 0.097
208 A 6 3 1.00 31 0.097
209 A 6 3 1.00 31 0.097
210 A 6 3 1.00 31 0.097
211 A 6 3 1.00 31 0.097
212 A 6 3 1.00 31 0.097
213 A 6 3 1.00 31 0.097
214 A 6 3 1.00 31 0.097
215 A 6 3 1.00 31 0.097
216 A 6 3 1.00 31 0.097
217 A 6 3 1.00 31 0.097
218 A 6 3 1.00 31 0.097
219 A 6 3 1.00 31 0.097
220 A 2 1 1.00 27 0.037
221 A 2 1 1.00 27 0.037
222 A 2 1 1.00 25 0.040
223 A 3 2 1.00 27 0.074
224 A 4 3 0.91 27 0.111
225 A 6 3 1.00 29 0.103
226 A 6 3 1.00 29 0.103
227 A 6 3 1.00 29 0.103
228 A 6 3 1.00 29 0.103
229 A 6 5 1.00 22 0.227
230 A 6 5 1.00 22 0.227
231 A 6 5 1.00 22 0.227
232 A 6 5 1.00 22 0.227
233 A 6 6 1.00 20 0.300
234 A 6 5 1.00 22 0.227
235 A 6 5 1.00 22 0.227
236 A 6 5 1.00 22 0.227
237 A 12 8 1.00 22 0.364
238 A 12 8 1.00 22 0.364
239 A 12 8 1.00 22 0.364
240 A 12 8 1.00 22 0.364
241 A 12 8 1.00 19 0.421
242 A 12 8 1.00 22 0.364
243 A 12 8 1.00 22 0.364
244 A 7 6 1.00 22 0.273
245 A 7 6 1.00 22 0.273
246 A 7 6 0.99 22 0.273
247 A 7 6 0.99 22 0.273
248 A 7 6 1.00 20 0.300
249 A 8 6 1.00 22 0.273
250 A 8 6 1.00 22 0.273
251 A 8 6 1.00 22 0.273
252 A 24 11 1.00 22 0.500
253 A 23 10 1.00 22 0.454
254 A 23 10 1.00 22 0.454
255 A 23 10 1.00 22 0.454
256 A 22 9 1.00 19 0.474
257 A 22 9 1.00 22 0.409
258 A 22 9 1.00 22 0.409
259 A 4 4 1.00 20 0.200
260 A 4 4 1.00 22 0.182
261 A 6 6 1.00 22 0.273
262 A 3 3 1.00 24 0.125
263 A 7 7 1.00 20 0.350
264 A 4 4 1.00 22 0.182
265 A 4 4 1.00 22 0.182
266 A 4 4 1.00 24 0.167
267 A 6 6 1.00 37 0.162
268 A 4 3 1.00 35 0.086
269 A 5 5 1.00 34 0.147
270 A 6 6 1.00 37 0.162
271 A 5 5 1.00 37 0.135
272 A 6 6 1.00 37 0.162
273 A 3 2 1.00 25 0.080
274 A 2 1 1.00 25 0.040
275 A 3 2 1.00 23 0.087
276 A 2 1 1.00 22 0.045
277 A 3 2 1.00 25 0.080
278 A 2 1 1.00 25 0.040
279 A 3 2 1.00 25 0.080
280 A 4 3 1.00 25 0.120
281 A 4 3 1.00 25 0.120
282 A 4 3 1.00 25 0.120
283 A 3 3 1.00 22 0.136
284 A 3 3 0.97 25 0.120
285 A 4 3 1.00 25 0.120
286 A 4 3 1.00 25 0.120
287 A 4 3 1.00 25 0.120
288 A 5 4 1.00 25 0.160
289 A 5 4 1.00 25 0.160
290 A 4 4 1.00 25 0.160
291 A 3 3 1.00 22 0.136
292 A 4 4 0.98 25 0.160
293 A 5 3 1.00 25 0.120
294 A 5 4 1.00 25 0.160
295 A 7 6 1.00 27 0.222
296 A 7 6 1.00 27 0.222
297 A 7 6 1.00 27 0.222
298 A 7 6 1.00 27 0.222
299 A 7 7 1.00 25 0.280
300 A 7 6 1.00 27 0.222
301 A 7 6 1.00 27 0.222
302 A 7 6 1.00 27 0.222
303 A 6 3 1.00 27 0.111
304 A 6 3 1.00 27 0.111
305 A 6 3 1.00 27 0.111
306 A 6 3 1.00 27 0.111
307 A 6 3 1.00 24 0.125
308 A 6 3 1.00 27 0.111
309 A 6 3 1.00 27 0.111
310 A 19 12 1.00 31 0.387
311 A 8 7 1.00 29 0.241
312 A 7 6 1.00 29 0.207
313 A 7 6 1.00 27 0.222
314 A 9 6 1.00 29 0.207
315 A 21 8 1.00 29 0.276
316 A 17 9 1.46 29 0.310
317 A 13 8 1.42 29 0.276
318 A 7 6 1.23 26 0.231
319 A 8 7 1.00 29 0.241
320 A 7 6 1.00 29 0.207
321 A 13 9 1.00 29 0.310
322 A 9 7 1.00 29 0.241
323 A 8 6 1.00 29 0.207
324 A 8 7 1.00 27 0.259
325 A 14 8 1.00 29 0.276
326 A 24 9 1.00 29 0.310
327 A 19 9 1.89 29 0.310
328 A 12 7 1.41 26 0.269
329 A 13 10 1.00 29 0.345
330 A 13 9 1.00 29 0.310
331 A 15 9 1.00 29 0.310
332 A 7 6 1.00 29 0.207
333 A 6 5 1.00 29 0.172
334 A 3 3 1.00 27 0.111
335 A 7 4 1.00 29 0.138
336 A 10 5 1.00 29 0.172
337 A 4 4 1.00 29 0.138
338 A 3 3 1.00 29 0.103
339 A 3 3 1.00 26 0.115
340 A 6 6 1.00 29 0.207
341 A 7 7 1.00 29 0.241
342 A 7 6 1.00 29 0.207
343 A 5 5 1.00 29 0.172
344 A 5 5 1.00 29 0.172
345 A 5 5 1.00 27 0.185
346 A 11 6 1.00 29 0.207
347 A 15 7 1.00 29 0.241
348 A 10 8 1.26 29 0.276
349 A 8 7 1.19 29 0.241
350 A 8 7 1.19 29 0.241
351 A 8 7 1.19 29 0.241
352 A 8 7 1.19 26 0.269
353 A 15 10 1.38 29 0.345
354 A 7 5 1.00 29 0.172
355 A 7 5 1.00 29 0.172
356 A 6 5 1.00 29 0.172
357 A 5 4 1.00 27 0.148
358 A 8 6 1.00 29 0.207
359 A 10 7 0.97 29 0.241
360 A 13 7 1.00 29 0.241
361 A 10 7 1.00 29 0.241
362 A 9 6 1.00 29 0.207
363 A 11 6 1.00 26 0.231
364 A 8 5 1.00 29 0.172
365 A 12 7 1.00 29 0.241
366 A 15 7 1.00 29 0.241
367 A 7 5 1.00 29 0.172
368 A 6 5 1.00 27 0.185
369 A 8 6 1.00 29 0.207
370 A 10 7 1.00 29 0.241
371 A 17 9 1.00 29 0.310
372 A 16 8 1.00 29 0.276
373 A 13 7 1.00 26 0.269
374 A 16 8 1.66 29 0.276
375 A 19 10 1.00 29 0.345
376 A 7 5 1.00 29 0.172
377 A 6 5 1.00 29 0.172
378 A 5 4 1.00 27 0.148
379 A 8 6 1.00 29 0.207
380 A 8 6 1.00 29 0.207
381 A 9 6 1.00 29 0.207
382 A 8 5 1.00 29 0.172
383 A 9 5 1.00 26 0.192
384 A 8 5 1.00 29 0.172
385 A 8 6 1.00 25 0.240
386 A 17 7 1.00 29 0.241
387 A 13 7 1.00 29 0.241
388 A 10 6 1.00 29 0.207
389 A 6 3 1.00 29 0.103
390 A 5 3 1.00 26 0.115
391 A 9 5 1.00 29 0.172
392 A 11 6 1.00 29 0.207
393 A 14 6 1.00 29 0.207
394 A 14 7 1.45 29 0.241
395 A 8 5 1.00 29 0.172
396 A 8 5 1.00 29 0.172
397 A 8 5 1.00 26 0.192
398 A 12 8 1.36 29 0.276
399 A 15 8 1.54 29 0.276
400 A 6 3 1.00 29 0.103
401 A 5 3 1.00 27 0.111
402 A 5 3 1.00 27 0.111
403 A 5 3 1.00 27 0.111
404 A 5 3 1.00 25 0.120
405 A 8 5 1.00 27 0.185
406 A 9 5 1.00 27 0.185
407 A 12 8 1.00 27 0.296
408 A 10 6 1.00 27 0.222
409 A 6 3 1.00 27 0.111
410 A 5 3 1.00 24 0.125
411 A 10 6 1.00 27 0.222
412 A 12 6 1.00 27 0.222
413 A 5 5 1.10 28 0.179

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