Chapter 2
detailed summary tables of 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
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 20, 22, 23, 24, 26, 27, 28, 30, 31, 32, 33, 34, 35,
36, 37, 38, 39, 41, 44, 45, 46, 47, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73,
74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 96, 97, 98, 99, 100, 101, 102, 103, 104,
105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 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, 149, 150, 151,
152, 153, 154, 155, 156, 157, 159, 161, 163, 165, 166, 167, 168, 169, 170, 172, 173, 174, 176, 177, 178, 179,
180, 181, 182, 183, 184, 185, 186, 187, 189, 191, 193, 195, 196, 197, 198, 199, 201, 203, 204,
205, 206, 207, 209, 211, 212, 214, 216, 219, 221, 222, 224, 226, 228, 230, 231, 232, 233, 234,
235, 236, 238, 240, 241, 242, 243, 244, 245, 246, 247, 249, 250, 251, 252, 253, 254, 255, 256,
257, 258, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 275, 276, 277,
278, 279, 281, 282, 283, 286, 287, 288, 289, 290, 291, 292, 293, 294, 296, 299, 301, 302, 303,
304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 318, 319, 322, 323, 324, 325, 326,
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, 363, 364, 366, 367
}
B grade: { 1, 40, 42, 43, 48, 52, 53, 54, 55, 68, 92, 93, 94, 95, 115, 119, 158, 160, 162, 164, 171, 175, 194,
208, 210, 213, 215, 217, 218, 220, 223, 225, 227, 248, 274, 295, 297, 298, 300, 327, 362, 365
}
C grade: { 9, 13, 17, 21, 25, 29, 148, 188, 190, 192, 200, 202, 229, 237, 239, 259, 280, 284, 285, 316, 317,
320, 321, 368, 369 }
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30,
44, 45, 46, 47, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 74, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 87,
88, 89, 90, 91, 92, 96, 97, 98, 99, 100, 101, 102, 108, 110, 111, 116, 117, 118, 119, 120, 121, 122, 130, 133,
134, 136, 137, 140, 141, 142, 145, 152, 153, 156, 157, 163, 165, 176, 183, 186, 193, 194, 195, 203, 205, 207,
212, 213, 222, 223, 224, 228, 230, 231, 232, 236, 238, 240, 244, 245, 246, 247, 248, 249, 250, 251,
252, 254, 260, 264, 265, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 289, 290, 291,
292, 293, 294, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 314, 315, 318, 319, 322,
323, 324, 329, 330, 331, 336, 337, 338, 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
}
B grade: { 24, 40, 41, 42, 43, 48, 49, 50, 68, 72, 73, 82, 84, 93, 94, 95, 103, 104, 105, 106, 107, 109, 115,
126, 127, 128, 129, 131, 132, 135, 138, 139, 143, 144, 154, 155, 158, 159, 160, 161, 162, 164, 166, 167, 168,
169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 187, 188, 189, 190, 191, 192, 196,
197, 198, 199, 200, 201, 202, 204, 206, 208, 209, 210, 211, 214, 215, 216, 217, 218, 219, 220, 221, 225, 226,
227, 229, 233, 234, 235, 237, 239, 241, 242, 243, 253, 255, 256, 257, 258, 259, 295, 296, 297, 298, 299, 300
}
C grade: { 312, 313, 316, 317, 320, 321, 339 }
F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 64, 65, 66, 67, 69, 70, 71, 112, 113, 114, 123, 124, 125, 146,
147, 148, 149, 150, 151, 261, 262, 263, 266, 267, 268, 269, 270, 271, 272, 273, 285, 286, 287, 288, 325, 326,
327, 328, 332, 333, 334, 335 }
2.1.4 Maxima
A grade: { 1, 2, 4, 6, 40, 41, 43, 44, 48, 49, 50, 56, 57, 60, 61, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 84, 88,
89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 115, 119, 136, 140, 141, 142, 143, 144, 145, 152,
153, 154, 155, 165, 171, 173, 175, 176, 181, 183, 184, 186, 190, 192, 193, 194, 195, 196, 202, 203, 204, 229,
230, 231, 233, 238, 239, 246, 247, 248, 249, 250, 251, 260, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273,
274, 275, 277, 301, 302, 303, 304, 305, 306, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321,
322, 323, 324, 329, 330, 331, 332, 333, 334, 337, 338, 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
}
B grade: { 3, 5, 42, 45, 46, 47, 51, 52, 53, 54, 55, 58, 59, 62, 63, 78, 83, 85, 86, 87, 103, 104, 116, 117, 118,
120, 121, 122, 129, 130, 131, 132, 133, 134, 135, 156, 157, 158, 159, 160, 161, 162, 163, 164, 166, 167, 168,
169, 170, 172, 174, 177, 178, 179, 180, 182, 185, 187, 188, 189, 191, 197, 198, 199, 200, 201, 205, 206, 207,
208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
232, 234, 235, 236, 237, 240, 241, 242, 243, 252, 253, 254, 255, 256, 276, 278, 307, 309, 335
}
C grade: { 339 }
F grade: { 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, 64, 65, 66, 67, 68, 69, 70, 71, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123,
124, 125, 126, 127, 128, 137, 138, 139, 146, 147, 148, 149, 150, 151, 244, 245, 257, 258, 259, 261, 262, 263,
279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300,
325, 326, 327, 328, 336, 368, 369 }
2.1.5 FriCAS
A grade: { 1, 2, 3, 4, 6, 40, 43, 51, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 88, 89, 90, 92, 93, 96,
97, 98, 99, 100, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 134, 136, 163, 167, 171, 173, 175,
176, 178, 194, 212, 231, 232, 247, 248, 260, 264, 265, 266, 267, 268, 269, 270, 271, 274, 275, 276, 277, 285,
286, 287, 288, 289, 290, 295, 298, 301, 303, 305, 311, 316, 320, 329, 330, 331, 332, 336, 337, 338, 339, 340,
341, 349, 366, 367 }
B grade: { 5, 41, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
81, 82, 83, 84, 85, 86, 87, 91, 94, 95, 101, 102, 103, 104, 123, 124, 125, 129, 130, 131, 132, 133, 135, 140,
141, 142, 143, 144, 145, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 164, 165, 166, 168, 169, 170,
172, 174, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 213, 214, 215,
216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 233, 234, 235, 236,
237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 249, 250, 251, 252, 253, 254, 255, 256, 259,
272, 273, 278, 291, 292, 293, 294, 296, 297, 299, 300, 302, 304, 306, 307, 308, 309, 310, 312,
313, 314, 315, 317, 318, 319, 321, 322, 323, 324, 333, 334, 335, 342, 343, 344, 345, 346, 347,
348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 368, 369
}
C grade: { 257, 258 }
F grade: { 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, 105, 106, 107, 108, 109, 110, 111, 126, 127, 128, 137, 138, 139,
146, 147, 148, 149, 150, 151, 261, 262, 263, 279, 280, 281, 282, 283, 284, 325, 326, 327, 328
}
2.1.6 Sympy
A grade: { 1, 2, 3, 4, 5, 6, 40, 41, 42, 43, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 75, 88,
89, 90, 91, 96, 97, 98, 99, 100, 101, 115, 116, 117, 118, 119, 120, 121, 122, 129, 133, 134, 136,
142, 171, 173, 175, 181, 184, 185, 192, 193, 201, 203, 211, 212, 220, 221, 224, 246, 247, 248,
253, 264, 265, 274, 276, 278, 301, 302, 303, 304, 311, 315, 319, 323, 324, 331, 336, 366, 367
}
B grade: { 158, 159, 160, 161, 162, 163, 164, 165, 172, 174, 176, 182, 183, 186, 208, 209, 210, 213, 214,
215, 216, 217, 218, 219, 222, 223, 225, 226, 227, 310, 314, 318 }
C grade: { }
F grade: { 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, 44, 45, 46, 47, 52, 53, 54, 55, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79,
80, 81, 82, 83, 84, 85, 86, 87, 92, 93, 94, 95, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
123, 124, 125, 126, 127, 128, 130, 131, 132, 135, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 166, 167, 168, 169, 170, 177, 178, 179, 180, 187,
188, 189, 190, 191, 194, 195, 196, 197, 198, 199, 200, 202, 204, 205, 206, 207, 228, 229, 230,
231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 249, 250, 251, 252,
254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 266, 267, 268, 269, 270, 271, 272, 273, 275,
277, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296,
297, 298, 299, 300, 305, 306, 307, 308, 309, 312, 313, 316, 317, 320, 321, 322, 325, 326, 327,
328, 329, 330, 332, 333, 334, 335, 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, 368, 369
}
2.1.7 Giac
A grade: { 2, 4, 6, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 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, 101,
102, 103, 115, 116, 117, 118, 119, 120, 121, 122, 129, 130, 133, 134, 136, 143, 144, 145, 152, 153, 154, 155,
156, 157, 167, 171, 173, 175, 176, 178, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191,
192, 193, 194, 195, 197, 202, 203, 205, 210, 212, 220, 222, 226, 228, 230, 231, 232, 233, 236,
238, 241, 243, 246, 247, 248, 249, 250, 251, 252, 253, 254, 260, 264, 265, 266, 267, 276, 277,
278, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319,
320, 321, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 340, 341, 342, 344, 345, 347, 348,
349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367
}
B grade: { 1, 3, 5, 45, 100, 104, 131, 132, 135, 140, 141, 142, 158, 159, 160, 161, 162, 163, 164, 165, 166,
168, 169, 170, 172, 174, 177, 179, 188, 196, 198, 199, 200, 201, 204, 206, 207, 208, 209, 211, 213,
214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 227, 229, 234, 235, 237, 239, 240, 242, 255,
256, 268, 269, 270, 271, 272, 273, 274, 275, 289, 290, 291, 295, 296, 297, 298, 299, 300, 312
}
C grade: { 322, 323, 324, 339, 343, 346 }
F grade: { 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, 64, 65, 66, 67, 68, 69, 70, 71, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123,
124, 125, 126, 127, 128, 137, 138, 139, 146, 147, 148, 149, 150, 151, 244, 245, 257, 258, 259, 261, 262, 263,
279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 292, 293, 294, 325, 326, 327, 328, 368, 369
}
2.1.8 Mupad
A grade: { 264, 265 }
B grade: { 1, 2, 3, 4, 5, 6, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 68, 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, 115, 116, 117, 118, 119, 120, 121, 122, 129, 130, 133, 134, 135, 136, 142, 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, 246, 247, 248, 249, 250, 251, 252, 253, 254, 266, 267, 268, 269, 270, 271,
272, 273, 274, 275, 276, 277, 278, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312,
313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 331, 333, 334, 335, 336, 366, 367
}
C grade: { }
F grade: { 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, 64, 65, 66, 67, 69, 70, 71, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
123, 124, 125, 126, 127, 128, 131, 132, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149,
150, 151, 152, 153, 154, 244, 245, 255, 256, 257, 258, 259, 260, 261, 262, 263, 279, 280, 281,
282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300,
325, 326, 327, 328, 329, 330, 332, 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, 368, 369
}
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 \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
B |
A |
A |
A |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 21 | 11 | 10 | 10 | 12 | 26 | 10 |
normalized size | 1 | 1.00 | 2.10 | 1.10 | 1.00 | 1.00 | 1.20 | 2.60 | 1.00 |
time (sec) |
N/A |
0.006 |
0.008 |
0.006 |
1.163 |
0.592 |
0.130 |
0.112 |
0.045 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 23 | 27 | 32 | 23 | 46 | 32 | 18 |
normalized size | 1 | 1.00 | 0.92 | 1.08 | 1.28 | 0.92 | 1.84 | 1.28 | 0.72 |
time (sec) |
N/A |
0.009 |
0.023 |
0.018 |
1.606 |
0.465 |
0.205 |
0.132 |
0.373 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
A |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 29 | 23 | 54 | 38 | 36 | 54 | 24 |
normalized size | 1 | 1.00 | 1.07 | 0.85 | 2.00 | 1.41 | 1.33 | 2.00 | 0.89 |
time (sec) |
N/A |
0.014 |
0.010 |
0.017 |
1.716 |
0.513 |
0.405 |
0.122 |
0.055 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 33 | 39 | 60 | 49 | 95 | 60 | 32 |
normalized size | 1 | 1.00 | 0.72 | 0.85 | 1.30 | 1.07 | 2.07 | 1.30 | 0.70 |
time (sec) |
N/A |
0.021 |
0.042 |
0.118 |
2.201 |
0.478 |
0.831 |
0.126 |
0.080 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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grade |
A |
A |
A |
A |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 44 | 33 | 82 | 79 | 58 | 82 | 31 |
normalized size | 1 | 1.00 | 1.07 | 0.80 | 2.00 | 1.93 | 1.41 | 2.00 | 0.76 |
time (sec) |
N/A |
0.017 |
0.014 |
0.117 |
0.314 |
0.501 |
1.510 |
0.140 |
0.409 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 | 67 | 67 | 43 | 49 | 86 | 90 | 139 | 88 | 42 |
normalized size | 1 | 1.00 | 0.64 | 0.73 | 1.28 | 1.34 | 2.07 | 1.31 | 0.63 |
time (sec) |
N/A |
0.033 |
0.039 |
0.115 |
0.309 |
0.576 |
2.851 |
0.124 |
0.133 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
|
Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 75 | 116 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.73 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.049 |
0.139 |
0.090 |
0.000 |
0.626 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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|
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|
|
Problem 8 |
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 | 80 | 80 | 68 | 164 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 2.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.032 |
0.075 |
0.069 |
0.000 |
0.564 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 9 |
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 | 80 | 80 | 83 | 100 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.04 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.032 |
0.090 |
0.066 |
0.000 |
0.440 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 10 |
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 | 54 | 54 | 50 | 108 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 2.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.019 |
0.105 |
0.056 |
0.000 |
0.396 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 11 |
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 | 54 | 54 | 48 | 87 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.020 |
0.120 |
0.048 |
0.000 |
0.642 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 12 |
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 | 76 | 76 | 57 | 154 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.75 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.029 |
0.053 |
0.062 |
0.000 |
0.698 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 13 |
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 | 80 | 80 | 86 | 101 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.08 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.032 |
0.078 |
0.065 |
0.000 |
0.472 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
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 | 103 | 103 | 73 | 192 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.044 |
0.170 |
0.068 |
0.000 |
0.593 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 76 | 122 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.66 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.058 |
0.278 |
0.069 |
0.000 |
0.565 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
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 | 88 | 88 | 68 | 170 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.77 | 1.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.037 |
0.123 |
0.062 |
0.000 |
0.541 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
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 | 88 | 88 | 88 | 106 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.037 |
0.129 |
0.066 |
0.000 |
0.506 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
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 | 56 | 56 | 52 | 111 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.022 |
0.046 |
0.060 |
0.000 |
0.604 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
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 | 56 | 56 | 54 | 89 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.96 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.022 |
0.034 |
0.053 |
0.000 |
0.506 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
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 | 86 | 86 | 62 | 159 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.72 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.038 |
0.062 |
0.069 |
0.000 |
0.640 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
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 | 90 | 90 | 84 | 114 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.038 |
0.100 |
0.066 |
0.000 |
0.489 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
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 | 118 | 118 | 79 | 205 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.67 | 1.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.056 |
0.166 |
0.073 |
0.000 |
0.557 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 91 | 91 | 65 | 122 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.71 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.034 |
0.166 |
0.073 |
0.000 |
0.632 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 55 | 169 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 2.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.020 |
0.059 |
0.068 |
0.000 |
0.596 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
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 | 62 | 62 | 94 | 104 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.52 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.021 |
0.138 |
0.067 |
0.000 |
0.805 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
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 | 30 | 30 | 28 | 91 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 3.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.009 |
0.021 |
0.067 |
0.000 |
0.500 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
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 | 30 | 30 | 28 | 68 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 2.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.009 |
0.024 |
0.055 |
0.000 |
0.557 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
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 | 58 | 58 | 50 | 159 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 2.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.019 |
0.099 |
0.080 |
0.000 |
1.271 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 29 |
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 | 62 | 62 | 83 | 113 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.34 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.020 |
0.062 |
0.070 |
0.000 |
0.478 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 30 |
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 | 91 | 91 | 80 | 204 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.88 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.033 |
0.134 |
0.076 |
0.000 |
0.595 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
Problem 31 |
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 | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.015 |
0.054 |
0.043 |
0.000 |
0.580 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
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|
Problem 32 |
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 | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.015 |
0.037 |
0.106 |
0.000 |
0.474 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 33 |
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 | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.016 |
0.035 |
0.079 |
0.000 |
0.574 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
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 | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.015 |
0.040 |
0.066 |
0.000 |
0.912 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
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 | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.016 |
0.041 |
0.056 |
0.000 |
0.663 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
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 | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.015 |
0.039 |
0.040 |
0.000 |
0.504 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
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 | 70 | 70 | 65 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.019 |
0.044 |
0.237 |
0.000 |
0.762 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
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 | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.015 |
0.041 |
0.194 |
0.000 |
0.549 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
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 | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.016 |
0.042 |
0.186 |
0.000 |
0.603 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 134 | 138 | 59 | 64 | 60 | 50 | 50 |
normalized size | 1 | 1.00 | 2.91 | 3.00 | 1.28 | 1.39 | 1.30 | 1.09 | 1.09 |
time (sec) |
N/A |
0.065 |
0.191 |
0.060 |
0.316 |
0.616 |
0.196 |
0.203 |
0.490 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 41 | 93 | 45 | 57 | 41 | 38 | 38 |
normalized size | 1 | 1.00 | 1.14 | 2.58 | 1.25 | 1.58 | 1.14 | 1.06 | 1.06 |
time (sec) |
N/A |
0.046 |
0.111 |
0.054 |
0.443 |
0.612 |
0.166 |
0.252 |
0.430 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 79 | 52 | 33 | 38 | 20 | 26 | 24 |
normalized size | 1 | 1.00 | 3.59 | 2.36 | 1.50 | 1.73 | 0.91 | 1.18 | 1.09 |
time (sec) |
N/A |
0.059 |
0.111 |
0.049 |
0.531 |
0.417 |
0.127 |
0.187 |
0.425 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 43 | 29 | 12 | 16 | 8 | 10 | 12 |
normalized size | 1 | 1.00 | 3.07 | 2.07 | 0.86 | 1.14 | 0.57 | 0.71 | 0.86 |
time (sec) |
N/A |
0.027 |
0.057 |
0.039 |
0.593 |
1.020 |
0.088 |
0.193 |
0.407 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
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 | 19 | 19 | 30 | 21 | 29 | 33 | 0 | 24 | 35 |
normalized size | 1 | 1.00 | 1.58 | 1.11 | 1.53 | 1.74 | 0.00 | 1.26 | 1.84 |
time (sec) |
N/A |
0.039 |
0.020 |
0.044 |
0.359 |
0.529 |
0.000 |
0.214 |
0.490 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 36 | 35 | 53 | 77 | 0 | 44 | 51 |
normalized size | 1 | 1.00 | 1.57 | 1.52 | 2.30 | 3.35 | 0.00 | 1.91 | 2.22 |
time (sec) |
N/A |
0.058 |
0.042 |
0.046 |
0.361 |
0.490 |
0.000 |
0.306 |
0.636 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 49 | 53 | 79 | 129 | 0 | 51 | 70 |
normalized size | 1 | 1.00 | 1.32 | 1.43 | 2.14 | 3.49 | 0.00 | 1.38 | 1.89 |
time (sec) |
N/A |
0.073 |
0.189 |
0.053 |
0.323 |
0.730 |
0.000 |
0.190 |
0.665 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 53 | 71 | 105 | 178 | 0 | 58 | 85 |
normalized size | 1 | 1.00 | 1.13 | 1.51 | 2.23 | 3.79 | 0.00 | 1.23 | 1.81 |
time (sec) |
N/A |
0.073 |
0.236 |
0.053 |
0.346 |
1.161 |
0.000 |
0.439 |
0.719 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 147 | 116 | 71 | 91 | 68 | 50 | 97 |
normalized size | 1 | 1.00 | 2.53 | 2.00 | 1.22 | 1.57 | 1.17 | 0.86 | 1.67 |
time (sec) |
N/A |
0.102 |
0.190 |
0.071 |
0.317 |
0.484 |
0.210 |
0.165 |
0.566 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 45 | 75 | 59 | 74 | 54 | 38 | 79 |
normalized size | 1 | 1.00 | 1.02 | 1.70 | 1.34 | 1.68 | 1.23 | 0.86 | 1.80 |
time (sec) |
N/A |
0.129 |
0.129 |
0.069 |
0.474 |
0.523 |
0.180 |
0.181 |
0.576 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 55 | 52 | 40 | 50 | 39 | 22 | 71 |
normalized size | 1 | 1.00 | 1.72 | 1.62 | 1.25 | 1.56 | 1.22 | 0.69 | 2.22 |
time (sec) |
N/A |
0.061 |
0.150 |
0.062 |
0.320 |
0.518 |
0.139 |
0.164 |
0.567 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
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 | 31 | 31 | 22 | 25 | 81 | 34 | 37 | 20 | 25 |
normalized size | 1 | 1.00 | 0.71 | 0.81 | 2.61 | 1.10 | 1.19 | 0.65 | 0.81 |
time (sec) |
N/A |
0.030 |
0.009 |
0.048 |
0.312 |
0.486 |
0.129 |
0.198 |
0.522 |
|
|
|
|
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|
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|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 91 | 44 | 55 | 82 | 0 | 34 | 41 |
normalized size | 1 | 1.00 | 2.68 | 1.29 | 1.62 | 2.41 | 0.00 | 1.00 | 1.21 |
time (sec) |
N/A |
0.083 |
0.089 |
0.065 |
0.396 |
0.500 |
0.000 |
0.395 |
0.283 |
|
|
|
|
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|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 88 | 58 | 81 | 129 | 0 | 46 | 85 |
normalized size | 1 | 1.00 | 2.10 | 1.38 | 1.93 | 3.07 | 0.00 | 1.10 | 2.02 |
time (sec) |
N/A |
0.117 |
0.395 |
0.069 |
0.321 |
0.473 |
0.000 |
0.206 |
0.709 |
|
|
|
|
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Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 131 | 76 | 105 | 179 | 0 | 59 | 79 |
normalized size | 1 | 1.00 | 2.26 | 1.31 | 1.81 | 3.09 | 0.00 | 1.02 | 1.36 |
time (sec) |
N/A |
0.140 |
0.372 |
0.076 |
0.328 |
0.606 |
0.000 |
0.183 |
0.774 |
|
|
|
|
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Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 143 | 92 | 129 | 225 | 0 | 84 | 189 |
normalized size | 1 | 1.00 | 2.23 | 1.44 | 2.02 | 3.52 | 0.00 | 1.31 | 2.95 |
time (sec) |
N/A |
0.131 |
1.870 |
0.082 |
0.507 |
0.480 |
0.000 |
0.175 |
1.095 |
|
|
|
|
|
|
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|
Problem 56 |
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 | 27 | 27 | 42 | 20 | 20 | 16 | 17 | 15 | 17 |
normalized size | 1 | 1.00 | 1.56 | 0.74 | 0.74 | 0.59 | 0.63 | 0.56 | 0.63 |
time (sec) |
N/A |
0.011 |
0.053 |
0.037 |
0.476 |
0.465 |
0.127 |
0.194 |
0.199 |
|
|
|
|
|
|
|
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|
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 | 59 | 59 | 61 | 55 | 94 | 50 | 68 | 25 | 29 |
normalized size | 1 | 1.00 | 1.03 | 0.93 | 1.59 | 0.85 | 1.15 | 0.42 | 0.49 |
time (sec) |
N/A |
0.026 |
0.103 |
0.079 |
0.347 |
0.522 |
0.201 |
0.344 |
0.530 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 58 |
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 | 88 | 88 | 81 | 88 | 211 | 85 | 114 | 36 | 40 |
normalized size | 1 | 1.00 | 0.92 | 1.00 | 2.40 | 0.97 | 1.30 | 0.41 | 0.45 |
time (sec) |
N/A |
0.042 |
0.126 |
0.091 |
0.448 |
0.539 |
0.306 |
0.234 |
0.691 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 59 |
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 | 117 | 117 | 87 | 121 | 372 | 121 | 162 | 47 | 53 |
normalized size | 1 | 1.00 | 0.74 | 1.03 | 3.18 | 1.03 | 1.38 | 0.40 | 0.45 |
time (sec) |
N/A |
0.060 |
0.170 |
0.110 |
0.347 |
0.493 |
0.442 |
0.183 |
0.959 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
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 | 27 | 27 | 42 | 20 | 20 | 16 | 17 | 15 | 17 |
normalized size | 1 | 1.00 | 1.56 | 0.74 | 0.74 | 0.59 | 0.63 | 0.56 | 0.63 |
time (sec) |
N/A |
0.012 |
0.063 |
0.043 |
0.384 |
0.544 |
0.118 |
0.157 |
0.146 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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 | 59 | 59 | 59 | 55 | 94 | 50 | 68 | 25 | 29 |
normalized size | 1 | 1.00 | 1.00 | 0.93 | 1.59 | 0.85 | 1.15 | 0.42 | 0.49 |
time (sec) |
N/A |
0.027 |
0.075 |
0.068 |
0.319 |
0.688 |
0.202 |
0.235 |
0.536 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
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 | 88 | 88 | 81 | 88 | 211 | 85 | 114 | 36 | 40 |
normalized size | 1 | 1.00 | 0.92 | 1.00 | 2.40 | 0.97 | 1.30 | 0.41 | 0.45 |
time (sec) |
N/A |
0.042 |
0.123 |
0.072 |
0.324 |
0.777 |
0.309 |
0.177 |
0.635 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 63 |
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 | 117 | 117 | 87 | 121 | 372 | 121 | 162 | 47 | 52 |
normalized size | 1 | 1.00 | 0.74 | 1.03 | 3.18 | 1.03 | 1.38 | 0.40 | 0.44 |
time (sec) |
N/A |
0.060 |
0.152 |
0.072 |
0.326 |
0.506 |
0.446 |
0.183 |
0.906 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 75 | 0 | 0 | 76 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.32 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.056 |
0.073 |
0.411 |
0.000 |
0.623 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 76 | 0 | 0 | 76 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.33 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.056 |
0.078 |
0.364 |
0.000 |
0.507 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 145 | 0 | 0 | 101 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.39 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.053 |
0.461 |
0.149 |
0.000 |
0.849 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 113 | 0 | 0 | 63 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.64 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.031 |
0.205 |
0.119 |
0.000 |
0.539 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
F |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 74 | 89 | 0 | 28 | 0 | 0 | 53 |
normalized size | 1 | 1.00 | 2.39 | 2.87 | 0.00 | 0.90 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A |
0.014 |
0.041 |
0.128 |
0.000 |
0.486 |
0.000 |
0.000 |
0.754 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 84 | 0 | 0 | 93 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.62 | 0.00 | 0.00 | 1.79 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.024 |
0.086 |
0.536 |
0.000 |
0.673 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 156 | 0 | 0 | 234 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.79 | 0.00 | 0.00 | 2.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.045 |
0.236 |
0.132 |
0.000 |
0.624 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 210 | 0 | 0 | 348 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.72 | 0.00 | 0.00 | 2.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.068 |
0.204 |
0.123 |
0.000 |
0.530 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 105 | 262 | 158 | 799 | 0 | 156 | 199 |
normalized size | 1 | 1.00 | 0.97 | 2.43 | 1.46 | 7.40 | 0.00 | 1.44 | 1.84 |
time (sec) |
N/A |
0.315 |
0.436 |
0.042 |
0.432 |
0.857 |
0.000 |
0.189 |
0.757 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 82 | 174 | 118 | 459 | 0 | 117 | 159 |
normalized size | 1 | 1.00 | 1.00 | 2.12 | 1.44 | 5.60 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A |
0.185 |
0.141 |
0.047 |
0.424 |
0.501 |
0.000 |
0.211 |
0.612 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
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 | 57 | 57 | 61 | 92 | 84 | 238 | 0 | 86 | 129 |
normalized size | 1 | 1.00 | 1.07 | 1.61 | 1.47 | 4.18 | 0.00 | 1.51 | 2.26 |
time (sec) |
N/A |
0.116 |
0.097 |
0.038 |
0.498 |
0.583 |
0.000 |
0.191 |
0.542 |
|
|
|
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|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 52 | 63 | 65 | 134 | 252 | 67 | 99 |
normalized size | 1 | 1.00 | 1.11 | 1.34 | 1.38 | 2.85 | 5.36 | 1.43 | 2.11 |
time (sec) |
N/A |
0.061 |
0.050 |
0.028 |
0.417 |
0.528 |
58.299 |
0.249 |
0.534 |
|
|
|
|
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Problem 76 |
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 | 50 | 50 | 58 | 49 | 83 | 156 | 0 | 82 | 287 |
normalized size | 1 | 1.00 | 1.16 | 0.98 | 1.66 | 3.12 | 0.00 | 1.64 | 5.74 |
time (sec) |
N/A |
0.076 |
0.052 |
0.039 |
0.425 |
0.535 |
0.000 |
0.234 |
0.638 |
|
|
|
|
|
|
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|
Problem 77 |
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 | 59 | 59 | 81 | 73 | 100 | 345 | 0 | 98 | 292 |
normalized size | 1 | 1.00 | 1.37 | 1.24 | 1.69 | 5.85 | 0.00 | 1.66 | 4.95 |
time (sec) |
N/A |
0.121 |
0.404 |
0.046 |
0.419 |
1.503 |
0.000 |
0.345 |
0.697 |
|
|
|
|
|
|
|
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Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 118 | 108 | 154 | 929 | 0 | 137 | 617 |
normalized size | 1 | 1.00 | 1.46 | 1.33 | 1.90 | 11.47 | 0.00 | 1.69 | 7.62 |
time (sec) |
N/A |
0.318 |
0.544 |
0.049 |
0.408 |
1.060 |
0.000 |
0.211 |
0.998 |
|
|
|
|
|
|
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|
Problem 79 |
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 | 109 | 109 | 186 | 158 | 194 | 1676 | 0 | 171 | 694 |
normalized size | 1 | 1.00 | 1.71 | 1.45 | 1.78 | 15.38 | 0.00 | 1.57 | 6.37 |
time (sec) |
N/A |
0.491 |
0.945 |
0.054 |
0.429 |
0.562 |
0.000 |
0.176 |
0.879 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 80 |
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 | 162 | 162 | 118 | 296 | 256 | 1769 | 0 | 235 | 305 |
normalized size | 1 | 1.00 | 0.73 | 1.83 | 1.58 | 10.92 | 0.00 | 1.45 | 1.88 |
time (sec) |
N/A |
0.405 |
0.436 |
0.067 |
0.418 |
0.680 |
0.000 |
0.178 |
0.862 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 81 |
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 | 115 | 115 | 95 | 213 | 208 | 1053 | 0 | 184 | 274 |
normalized size | 1 | 1.00 | 0.83 | 1.85 | 1.81 | 9.16 | 0.00 | 1.60 | 2.38 |
time (sec) |
N/A |
0.238 |
0.370 |
0.057 |
0.441 |
0.780 |
0.000 |
0.230 |
0.781 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 86 | 175 | 149 | 521 | 0 | 131 | 228 |
normalized size | 1 | 1.00 | 1.04 | 2.11 | 1.80 | 6.28 | 0.00 | 1.58 | 2.75 |
time (sec) |
N/A |
0.134 |
0.190 |
0.062 |
0.409 |
0.630 |
0.000 |
0.390 |
0.791 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 68 | 97 | 117 | 341 | 0 | 99 | 142 |
normalized size | 1 | 1.00 | 1.13 | 1.62 | 1.95 | 5.68 | 0.00 | 1.65 | 2.37 |
time (sec) |
N/A |
0.074 |
0.107 |
0.037 |
0.417 |
0.553 |
0.000 |
0.201 |
0.701 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 91 | 166 | 162 | 672 | 0 | 142 | 1001 |
normalized size | 1 | 1.00 | 1.07 | 1.95 | 1.91 | 7.91 | 0.00 | 1.67 | 11.78 |
time (sec) |
N/A |
0.216 |
0.196 |
0.062 |
0.433 |
0.716 |
0.000 |
0.190 |
2.700 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 115 | 115 | 118 | 193 | 251 | 1740 | 0 | 205 | 1017 |
normalized size | 1 | 1.00 | 1.03 | 1.68 | 2.18 | 15.13 | 0.00 | 1.78 | 8.84 |
time (sec) |
N/A |
0.372 |
0.678 |
0.082 |
0.408 |
0.807 |
0.000 |
0.179 |
3.393 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 156 | 227 | 363 | 3754 | 0 | 203 | 977 |
normalized size | 1 | 1.00 | 0.99 | 1.44 | 2.30 | 23.76 | 0.00 | 1.28 | 6.18 |
time (sec) |
N/A |
0.675 |
0.738 |
0.088 |
0.427 |
1.097 |
0.000 |
0.166 |
3.400 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 198 | 198 | 214 | 277 | 477 | 6430 | 0 | 236 | 975 |
normalized size | 1 | 1.00 | 1.08 | 1.40 | 2.41 | 32.47 | 0.00 | 1.19 | 4.92 |
time (sec) |
N/A |
0.884 |
0.957 |
0.084 |
0.426 |
0.961 |
0.000 |
0.328 |
3.301 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
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 | 81 | 42 | 19 | 28 | 34 | 32 | 39 |
normalized size | 1 | 1.00 | 1.11 | 0.58 | 0.26 | 0.38 | 0.47 | 0.44 | 0.53 |
time (sec) |
N/A |
0.028 |
0.034 |
0.046 |
0.416 |
0.512 |
0.309 |
0.578 |
0.351 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
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 | 102 | 102 | 142 | 82 | 79 | 100 | 87 | 67 | 106 |
normalized size | 1 | 1.00 | 1.39 | 0.80 | 0.77 | 0.98 | 0.85 | 0.66 | 1.04 |
time (sec) |
N/A |
0.051 |
0.264 |
0.076 |
0.432 |
0.620 |
0.406 |
0.156 |
0.979 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
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 | 131 | 131 | 204 | 124 | 124 | 190 | 148 | 89 | 147 |
normalized size | 1 | 1.00 | 1.56 | 0.95 | 0.95 | 1.45 | 1.13 | 0.68 | 1.12 |
time (sec) |
N/A |
0.085 |
0.514 |
0.093 |
0.419 |
0.726 |
0.548 |
0.371 |
1.056 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 160 | 160 | 265 | 164 | 167 | 280 | 209 | 111 | 237 |
normalized size | 1 | 1.00 | 1.66 | 1.02 | 1.04 | 1.75 | 1.31 | 0.69 | 1.48 |
time (sec) |
N/A |
0.126 |
0.634 |
0.091 |
0.427 |
0.955 |
0.734 |
0.161 |
1.261 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-2) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 171 | 44 | 36 | 26 | 0 | 28 | 32 |
normalized size | 1 | 1.00 | 4.62 | 1.19 | 0.97 | 0.70 | 0.00 | 0.76 | 0.86 |
time (sec) |
N/A |
0.013 |
0.032 |
0.047 |
0.413 |
0.482 |
0.000 |
0.240 |
0.615 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
F(-2) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 183 | 134 | 64 | 102 | 0 | 65 | 102 |
normalized size | 1 | 1.00 | 2.77 | 2.03 | 0.97 | 1.55 | 0.00 | 0.98 | 1.55 |
time (sec) |
N/A |
0.035 |
0.247 |
0.076 |
0.447 |
0.491 |
0.000 |
0.224 |
1.068 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
F(-2) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 277 | 224 | 108 | 191 | 0 | 87 | 143 |
normalized size | 1 | 1.00 | 2.92 | 2.36 | 1.14 | 2.01 | 0.00 | 0.92 | 1.51 |
time (sec) |
N/A |
0.067 |
0.690 |
0.097 |
0.406 |
0.942 |
0.000 |
0.271 |
1.617 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
F(-2) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 308 | 314 | 152 | 281 | 0 | 109 | 232 |
normalized size | 1 | 1.00 | 2.48 | 2.53 | 1.23 | 2.27 | 0.00 | 0.88 | 1.87 |
time (sec) |
N/A |
0.102 |
1.925 |
0.091 |
0.422 |
0.546 |
0.000 |
0.175 |
2.112 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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 | 183 | 183 | 138 | 155 | 272 | 223 | 314 | 269 | 160 |
normalized size | 1 | 1.00 | 0.75 | 0.85 | 1.49 | 1.22 | 1.72 | 1.47 | 0.87 |
time (sec) |
N/A |
0.273 |
0.651 |
0.041 |
0.323 |
0.490 |
2.174 |
0.419 |
0.603 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
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 | 137 | 137 | 108 | 119 | 182 | 146 | 240 | 200 | 114 |
normalized size | 1 | 1.00 | 0.79 | 0.87 | 1.33 | 1.07 | 1.75 | 1.46 | 0.83 |
time (sec) |
N/A |
0.156 |
0.370 |
0.037 |
0.323 |
0.826 |
1.053 |
0.466 |
0.336 |
|
|
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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 | 92 | 92 | 71 | 77 | 115 | 91 | 128 | 135 | 75 |
normalized size | 1 | 1.00 | 0.77 | 0.84 | 1.25 | 0.99 | 1.39 | 1.47 | 0.82 |
time (sec) |
N/A |
0.073 |
0.181 |
0.039 |
0.321 |
0.438 |
0.513 |
0.152 |
0.502 |
|
|
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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 | 52 | 52 | 48 | 51 | 55 | 46 | 78 | 76 | 41 |
normalized size | 1 | 1.00 | 0.92 | 0.98 | 1.06 | 0.88 | 1.50 | 1.46 | 0.79 |
time (sec) |
N/A |
0.017 |
0.080 |
0.028 |
0.302 |
0.402 |
0.262 |
0.163 |
0.491 |
|
|
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Problem 100 |
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 | 15 | 15 | 26 | 16 | 15 | 17 | 17 | 31 | 15 |
normalized size | 1 | 1.00 | 1.73 | 1.07 | 1.00 | 1.13 | 1.13 | 2.07 | 1.00 |
time (sec) |
N/A |
0.010 |
0.008 |
0.004 |
0.325 |
0.662 |
0.130 |
0.256 |
0.428 |
|
|
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Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 52 | 43 | 67 | 162 | 187 | 67 | 55 |
normalized size | 1 | 1.00 | 1.18 | 0.98 | 1.52 | 3.68 | 4.25 | 1.52 | 1.25 |
time (sec) |
N/A |
0.036 |
0.035 |
0.038 |
0.436 |
0.654 |
8.950 |
0.149 |
0.760 |
|
|
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Problem 102 |
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 | 79 | 79 | 85 | 118 | 138 | 423 | 0 | 119 | 200 |
normalized size | 1 | 1.00 | 1.08 | 1.49 | 1.75 | 5.35 | 0.00 | 1.51 | 2.53 |
time (sec) |
N/A |
0.063 |
0.263 |
0.068 |
0.418 |
0.511 |
0.000 |
0.427 |
0.876 |
|
|
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|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 117 | 280 | 315 | 1347 | 0 | 231 | -1 |
normalized size | 1 | 1.00 | 0.92 | 2.20 | 2.48 | 10.61 | 0.00 | 1.82 | -0.01 |
time (sec) |
N/A |
0.122 |
0.278 |
0.092 |
0.427 |
0.615 |
0.000 |
0.386 |
0.000 |
|
|
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|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 174 | 174 | 159 | 494 | 551 | 2934 | 0 | 357 | -1 |
normalized size | 1 | 1.00 | 0.91 | 2.84 | 3.17 | 16.86 | 0.00 | 2.05 | -0.01 |
time (sec) |
N/A |
0.220 |
0.724 |
0.101 |
0.447 |
0.604 |
0.000 |
0.232 |
0.000 |
|
|
|
|
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|
Problem 105 |
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 | 179 | 179 | 178 | 917 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.99 | 5.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.258 |
0.434 |
0.204 |
0.000 |
0.491 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 106 |
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 | 150 | 150 | 139 | 676 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 4.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.166 |
0.382 |
0.125 |
0.000 |
0.620 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 107 |
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 | 60 | 60 | 65 | 262 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.08 | 4.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.037 |
0.188 |
0.119 |
0.000 |
0.831 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
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 | 60 | 60 | 60 | 125 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 2.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.037 |
0.193 |
0.101 |
0.000 |
0.512 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
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 | 94 | 94 | 81 | 456 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 4.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.060 |
0.156 |
0.136 |
0.000 |
0.779 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
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 | 197 | 197 | 166 | 438 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.84 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.212 |
0.644 |
0.234 |
0.000 |
0.841 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
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 | 128 | 128 | 101 | 218 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.79 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.114 |
0.363 |
0.122 |
0.000 |
0.523 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 100 | 0 | 0 | 125 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.100 |
0.358 |
0.156 |
0.000 |
0.483 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 83 | 0 | 0 | 80 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.081 |
0.220 |
0.136 |
0.000 |
0.667 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 66 | 0 | 0 | 48 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.38 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.054 |
0.074 |
0.184 |
0.000 |
0.403 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 53 | 46 | 26 | 23 | 19 | 17 | 21 |
normalized size | 1 | 1.00 | 2.30 | 2.00 | 1.13 | 1.00 | 0.83 | 0.74 | 0.91 |
time (sec) |
N/A |
0.038 |
0.249 |
0.043 |
0.316 |
0.430 |
0.116 |
0.203 |
0.117 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 116 |
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 | 43 | 43 | 32 | 52 | 141 | 46 | 51 | 32 | 39 |
normalized size | 1 | 1.00 | 0.74 | 1.21 | 3.28 | 1.07 | 1.19 | 0.74 | 0.91 |
time (sec) |
N/A |
0.042 |
0.030 |
0.041 |
0.331 |
0.460 |
0.203 |
0.176 |
0.607 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
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 | 68 | 68 | 50 | 91 | 280 | 71 | 83 | 46 | 52 |
normalized size | 1 | 1.00 | 0.74 | 1.34 | 4.12 | 1.04 | 1.22 | 0.68 | 0.76 |
time (sec) |
N/A |
0.054 |
0.040 |
0.043 |
0.337 |
0.565 |
0.392 |
0.214 |
0.835 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 118 |
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 | 91 | 91 | 67 | 128 | 468 | 96 | 110 | 60 | 66 |
normalized size | 1 | 1.00 | 0.74 | 1.41 | 5.14 | 1.05 | 1.21 | 0.66 | 0.73 |
time (sec) |
N/A |
0.068 |
0.051 |
0.052 |
0.342 |
0.507 |
0.777 |
0.176 |
1.039 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 59 | 46 | 29 | 24 | 19 | 18 | 21 |
normalized size | 1 | 1.00 | 2.19 | 1.70 | 1.07 | 0.89 | 0.70 | 0.67 | 0.78 |
time (sec) |
N/A |
0.043 |
0.079 |
0.049 |
0.316 |
0.470 |
0.156 |
0.386 |
0.109 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 32 | 52 | 141 | 46 | 51 | 32 | 37 |
normalized size | 1 | 1.00 | 0.65 | 1.06 | 2.88 | 0.94 | 1.04 | 0.65 | 0.76 |
time (sec) |
N/A |
0.044 |
0.029 |
0.048 |
0.336 |
0.465 |
0.222 |
0.175 |
0.595 |
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Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 92 | 91 | 281 | 70 | 82 | 46 | 52 |
normalized size | 1 | 1.00 | 1.21 | 1.20 | 3.70 | 0.92 | 1.08 | 0.61 | 0.68 |
time (sec) |
N/A |
0.059 |
0.223 |
0.053 |
0.333 |
0.624 |
0.389 |
0.175 |
0.804 |
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Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 63 | 128 | 468 | 96 | 109 | 60 | 68 |
normalized size | 1 | 1.00 | 0.62 | 1.27 | 4.63 | 0.95 | 1.08 | 0.59 | 0.67 |
time (sec) |
N/A |
0.070 |
0.051 |
0.056 |
0.345 |
0.577 |
0.664 |
0.201 |
1.004 |
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Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 85 | 0 | 0 | 186 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.29 | 0.00 | 0.00 | 2.82 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.066 |
0.124 |
0.148 |
0.000 |
0.477 |
0.000 |
0.000 |
0.000 |
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Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
grade |
A |
A |
A |
F |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 105 | 0 | 0 | 267 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.33 | 0.00 | 0.00 | 3.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.077 |
0.247 |
0.116 |
0.000 |
0.582 |
0.000 |
0.000 |
0.000 |
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Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
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|
|
|
grade |
A |
A |
A |
F |
F |
B |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 184 | 0 | 0 | 356 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.67 | 0.00 | 0.00 | 3.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.100 |
0.222 |
0.128 |
0.000 |
0.482 |
0.000 |
0.000 |
0.000 |
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Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 259 | 259 | 241 | 1893 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.93 | 7.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.446 |
0.802 |
0.164 |
0.000 |
0.715 |
0.000 |
0.000 |
0.000 |
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Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 207 | 207 | 196 | 1037 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 5.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.311 |
0.568 |
0.314 |
0.000 |
0.508 |
0.000 |
0.000 |
0.000 |
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Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 164 | 164 | 151 | 897 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 5.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.212 |
0.407 |
0.141 |
0.000 |
0.500 |
0.000 |
0.000 |
0.000 |
|
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Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 61 | 101 | 124 | 147 | 422 | 75 | 269 |
normalized size | 1 | 1.00 | 1.11 | 1.84 | 2.25 | 2.67 | 7.67 | 1.36 | 4.89 |
time (sec) |
N/A |
0.075 |
0.106 |
0.032 |
0.401 |
0.740 |
64.572 |
0.360 |
0.930 |
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Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 82 | 113 | 229 | 444 | 0 | 119 | 223 |
normalized size | 1 | 1.00 | 1.11 | 1.53 | 3.09 | 6.00 | 0.00 | 1.61 | 3.01 |
time (sec) |
N/A |
0.083 |
0.153 |
0.044 |
0.415 |
0.603 |
0.000 |
0.174 |
0.879 |
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Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 131 | 314 | 537 | 1614 | 0 | 279 | -1 |
normalized size | 1 | 1.00 | 1.02 | 2.45 | 4.20 | 12.61 | 0.00 | 2.18 | -0.01 |
time (sec) |
N/A |
0.175 |
0.289 |
0.055 |
0.431 |
1.003 |
0.000 |
0.246 |
0.000 |
|
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Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 187 | 187 | 189 | 633 | 982 | 3870 | 0 | 477 | -1 |
normalized size | 1 | 1.00 | 1.01 | 3.39 | 5.25 | 20.70 | 0.00 | 2.55 | -0.01 |
time (sec) |
N/A |
0.325 |
0.487 |
0.063 |
0.460 |
0.843 |
0.000 |
0.226 |
0.000 |
|
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Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 66 | 105 | 128 | 154 | 340 | 82 | 331 |
normalized size | 1 | 1.00 | 1.10 | 1.75 | 2.13 | 2.57 | 5.67 | 1.37 | 5.52 |
time (sec) |
N/A |
0.084 |
0.072 |
0.038 |
0.412 |
0.801 |
60.555 |
0.351 |
1.202 |
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Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 6 | 7 | 128 | 6 | 3 | 6 | 6 |
normalized size | 1 | 1.00 | 1.00 | 1.17 | 21.33 | 1.00 | 0.50 | 1.00 | 1.00 |
time (sec) |
N/A |
0.001 |
0.000 |
0.000 |
0.406 |
0.511 |
0.325 |
0.166 |
0.021 |
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Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
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|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 36 | 230 | 58 | 0 | 30 | 49 |
normalized size | 1 | 1.00 | 1.00 | 3.00 | 19.17 | 4.83 | 0.00 | 2.50 | 4.08 |
time (sec) |
N/A |
0.032 |
0.035 |
0.049 |
0.421 |
0.442 |
0.000 |
0.188 |
0.571 |
|
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Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 28 | 37 | 34 | 42 | 51 | 33 | 48 |
normalized size | 1 | 1.00 | 0.82 | 1.09 | 1.00 | 1.24 | 1.50 | 0.97 | 1.41 |
time (sec) |
N/A |
0.037 |
0.088 |
0.030 |
0.408 |
0.866 |
1.711 |
0.189 |
0.589 |
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Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 109 | 266 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.80 | 1.96 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.120 |
0.525 |
0.142 |
0.000 |
0.895 |
0.000 |
0.000 |
0.000 |
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Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 176 | 176 | 159 | 517 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.90 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.227 |
0.654 |
0.240 |
0.000 |
0.565 |
0.000 |
0.000 |
0.000 |
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Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 251 | 251 | 236 | 806 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.94 | 3.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.335 |
0.825 |
0.349 |
0.000 |
0.467 |
0.000 |
0.000 |
0.000 |
|
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Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 36 | 32 | 53 | 511 | 0 | 120 | -1 |
normalized size | 1 | 1.00 | 0.68 | 0.60 | 1.00 | 9.64 | 0.00 | 2.26 | -0.02 |
time (sec) |
N/A |
0.037 |
0.041 |
0.070 |
0.421 |
0.650 |
0.000 |
0.155 |
0.000 |
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Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 26 | 24 | 35 | 226 | 0 | 70 | -1 |
normalized size | 1 | 1.00 | 0.76 | 0.71 | 1.03 | 6.65 | 0.00 | 2.06 | -0.03 |
time (sec) |
N/A |
0.024 |
0.038 |
0.059 |
0.412 |
0.747 |
0.000 |
0.459 |
0.000 |
|
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Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 15 | 17 | 71 | 19 | 34 | 21 |
normalized size | 1 | 1.00 | 1.00 | 1.15 | 1.31 | 5.46 | 1.46 | 2.62 | 1.62 |
time (sec) |
N/A |
0.013 |
0.004 |
0.050 |
0.412 |
0.463 |
0.332 |
0.231 |
0.459 |
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Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 20 | 49 | 24 | 110 | 0 | 1 | -1 |
normalized size | 1 | 1.00 | 1.18 | 2.88 | 1.41 | 6.47 | 0.00 | 0.06 | -0.06 |
time (sec) |
N/A |
0.013 |
0.006 |
0.075 |
0.418 |
0.795 |
0.000 |
0.234 |
0.000 |
|
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Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 44 | 71 | 62 | 327 | 0 | 37 | -1 |
normalized size | 1 | 1.00 | 1.05 | 1.69 | 1.48 | 7.79 | 0.00 | 0.88 | -0.02 |
time (sec) |
N/A |
0.026 |
0.040 |
0.080 |
0.416 |
0.587 |
0.000 |
0.200 |
0.000 |
|
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Problem 145 |
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 | 61 | 61 | 67 | 89 | 96 | 875 | 0 | 52 | -1 |
normalized size | 1 | 1.00 | 1.10 | 1.46 | 1.57 | 14.34 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A |
0.037 |
0.101 |
0.099 |
0.422 |
0.573 |
0.000 |
0.224 |
0.000 |
|
|
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Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.061 |
0.185 |
0.114 |
0.000 |
0.455 |
0.000 |
0.000 |
0.000 |
|
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Problem 147 |
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 | 83 | 83 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.044 |
0.064 |
0.092 |
0.000 |
0.468 |
0.000 |
0.000 |
0.000 |
|
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Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 60 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.033 |
0.086 |
0.097 |
0.000 |
0.827 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 149 |
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 | 60 | 60 | 42 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.030 |
0.029 |
0.098 |
0.000 |
0.559 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 150 |
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 | 87 | 87 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.042 |
0.086 |
0.088 |
0.000 |
0.943 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 151 |
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 | 135 | 135 | 69 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.061 |
0.204 |
0.093 |
0.000 |
0.420 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
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|
Problem 152 |
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 | 132 | 132 | 53 | 171 | 100 | 1597 | 0 | 114 | -1 |
normalized size | 1 | 1.00 | 0.40 | 1.30 | 0.76 | 12.10 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A |
0.049 |
0.162 |
0.203 |
0.426 |
0.576 |
0.000 |
0.301 |
0.000 |
|
|
|
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|
Problem 153 |
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 | 78 | 78 | 38 | 125 | 63 | 659 | 0 | 50 | -1 |
normalized size | 1 | 1.00 | 0.49 | 1.60 | 0.81 | 8.45 | 0.00 | 0.64 | -0.01 |
time (sec) |
N/A |
0.032 |
0.089 |
0.154 |
0.419 |
0.638 |
0.000 |
0.166 |
0.000 |
|
|
|
|
|
|
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|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 24 | 84 | 27 | 180 | 0 | 26 | -1 |
normalized size | 1 | 1.00 | 0.67 | 2.33 | 0.75 | 5.00 | 0.00 | 0.72 | -0.03 |
time (sec) |
N/A |
0.015 |
0.037 |
0.183 |
0.416 |
0.539 |
0.000 |
0.299 |
0.000 |
|
|
|
|
|
|
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|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 50 | 18 | 122 | 0 | 13 | 38 |
normalized size | 1 | 1.00 | 1.00 | 3.12 | 1.12 | 7.62 | 0.00 | 0.81 | 2.38 |
time (sec) |
N/A |
0.014 |
0.006 |
0.141 |
0.430 |
0.485 |
0.000 |
0.172 |
0.466 |
|
|
|
|
|
|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 34 | 74 | 171 | 1163 | 0 | 27 | 48 |
normalized size | 1 | 1.00 | 0.50 | 1.09 | 2.51 | 17.10 | 0.00 | 0.40 | 0.71 |
time (sec) |
N/A |
0.022 |
0.039 |
0.140 |
0.411 |
0.438 |
0.000 |
0.216 |
0.528 |
|
|
|
|
|
|
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|
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|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 118 | 118 | 47 | 90 | 467 | 3093 | 0 | 39 | 256 |
normalized size | 1 | 1.00 | 0.40 | 0.76 | 3.96 | 26.21 | 0.00 | 0.33 | 2.17 |
time (sec) |
N/A |
0.033 |
0.060 |
0.133 |
0.424 |
0.824 |
0.000 |
0.359 |
0.542 |
|
|
|
|
|
|
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|
Problem 158 |
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 | 50 | 50 | 219 | 292 | 90 | 91 | 124 | 86 | 93 |
normalized size | 1 | 1.00 | 4.38 | 5.84 | 1.80 | 1.82 | 2.48 | 1.72 | 1.86 |
time (sec) |
N/A |
0.055 |
0.160 |
0.095 |
0.344 |
0.524 |
0.300 |
0.182 |
0.777 |
|
|
|
|
|
|
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|
Problem 159 |
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 | 43 | 43 | 42 | 142 | 75 | 72 | 100 | 71 | 77 |
normalized size | 1 | 1.00 | 0.98 | 3.30 | 1.74 | 1.67 | 2.33 | 1.65 | 1.79 |
time (sec) |
N/A |
0.045 |
0.031 |
0.080 |
0.334 |
0.476 |
0.260 |
0.197 |
0.670 |
|
|
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|
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|
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|
Problem 160 |
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 | 38 | 38 | 131 | 210 | 66 | 67 | 82 | 62 | 67 |
normalized size | 1 | 1.00 | 3.45 | 5.53 | 1.74 | 1.76 | 2.16 | 1.63 | 1.76 |
time (sec) |
N/A |
0.047 |
0.241 |
0.064 |
0.318 |
0.683 |
0.234 |
0.228 |
0.622 |
|
|
|
|
|
|
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|
Problem 161 |
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 | 33 | 33 | 28 | 94 | 51 | 48 | 63 | 47 | 51 |
normalized size | 1 | 1.00 | 0.85 | 2.85 | 1.55 | 1.45 | 1.91 | 1.42 | 1.55 |
time (sec) |
N/A |
0.039 |
0.021 |
0.060 |
0.313 |
0.520 |
0.196 |
0.357 |
0.559 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 162 |
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 | 26 | 26 | 93 | 126 | 42 | 41 | 48 | 38 | 41 |
normalized size | 1 | 1.00 | 3.58 | 4.85 | 1.62 | 1.58 | 1.85 | 1.46 | 1.58 |
time (sec) |
N/A |
0.041 |
0.160 |
0.055 |
0.312 |
0.573 |
0.176 |
0.442 |
0.123 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 12 | 13 | 27 | 22 | 27 | 23 | 31 |
normalized size | 1 | 1.00 | 0.80 | 0.87 | 1.80 | 1.47 | 1.80 | 1.53 | 2.07 |
time (sec) |
N/A |
0.034 |
0.011 |
0.032 |
0.310 |
0.783 |
0.145 |
0.190 |
0.475 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 164 |
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 | 8 | 8 | 34 | 40 | 14 | 17 | 14 | 14 | 7 |
normalized size | 1 | 1.00 | 4.25 | 5.00 | 1.75 | 2.12 | 1.75 | 1.75 | 0.88 |
time (sec) |
N/A |
0.031 |
0.047 |
0.046 |
0.314 |
0.610 |
0.118 |
0.154 |
0.462 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 7 | 5 | 11 | 15 | 11 | 10 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 0.71 | 1.57 | 2.14 | 1.57 | 1.43 |
time (sec) |
N/A |
0.018 |
0.006 |
0.020 |
0.322 |
0.501 |
0.127 |
0.301 |
0.466 |
|
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Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 18 | 43 | 41 | 53 | 0 | 51 | 46 |
normalized size | 1 | 1.00 | 0.75 | 1.79 | 1.71 | 2.21 | 0.00 | 2.12 | 1.92 |
time (sec) |
N/A |
0.035 |
0.023 |
0.048 |
0.314 |
0.587 |
0.000 |
0.487 |
0.198 |
|
|
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Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 22 | 49 | 53 | 28 | 0 | 29 | 63 |
normalized size | 1 | 1.00 | 0.88 | 1.96 | 2.12 | 1.12 | 0.00 | 1.16 | 2.52 |
time (sec) |
N/A |
0.041 |
0.034 |
0.052 |
0.318 |
0.405 |
0.000 |
0.142 |
0.581 |
|
|
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Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 61 | 91 | 92 | 153 | 0 | 92 | 115 |
normalized size | 1 | 1.00 | 1.17 | 1.75 | 1.77 | 2.94 | 0.00 | 1.77 | 2.21 |
time (sec) |
N/A |
0.053 |
0.045 |
0.059 |
0.320 |
0.509 |
0.000 |
0.448 |
0.899 |
|
|
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Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 35 | 93 | 205 | 64 | 0 | 53 | 231 |
normalized size | 1 | 1.00 | 0.95 | 2.51 | 5.54 | 1.73 | 0.00 | 1.43 | 6.24 |
time (sec) |
N/A |
0.044 |
0.069 |
0.062 |
0.311 |
0.439 |
0.000 |
0.187 |
1.012 |
|
|
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Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 94 | 137 | 140 | 249 | 0 | 118 | 249 |
normalized size | 1 | 1.00 | 1.18 | 1.71 | 1.75 | 3.11 | 0.00 | 1.48 | 3.11 |
time (sec) |
N/A |
0.067 |
0.072 |
0.061 |
0.356 |
0.540 |
0.000 |
0.376 |
1.911 |
|
|
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Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 121 | 166 | 54 | 55 | 65 | 50 | 54 |
normalized size | 1 | 1.00 | 3.02 | 4.15 | 1.35 | 1.38 | 1.62 | 1.25 | 1.35 |
time (sec) |
N/A |
0.074 |
0.188 |
0.072 |
0.348 |
0.580 |
0.236 |
0.175 |
0.143 |
|
|
|
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|
Problem 172 |
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 | 14 | 14 | 18 | 70 | 39 | 34 | 44 | 35 | 37 |
normalized size | 1 | 1.00 | 1.29 | 5.00 | 2.79 | 2.43 | 3.14 | 2.50 | 2.64 |
time (sec) |
N/A |
0.034 |
0.020 |
0.068 |
0.327 |
0.463 |
0.186 |
0.357 |
0.095 |
|
|
|
|
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|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 46 | 82 | 30 | 31 | 29 | 26 | 28 |
normalized size | 1 | 1.00 | 1.53 | 2.73 | 1.00 | 1.03 | 0.97 | 0.87 | 0.93 |
time (sec) |
N/A |
0.068 |
0.078 |
0.071 |
0.332 |
0.457 |
0.162 |
0.492 |
0.477 |
|
|
|
|
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|
Problem 174 |
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 | 14 | 14 | 14 | 53 | 23 | 26 | 26 | 21 | 24 |
normalized size | 1 | 1.00 | 1.00 | 3.79 | 1.64 | 1.86 | 1.86 | 1.50 | 1.71 |
time (sec) |
N/A |
0.038 |
0.013 |
0.067 |
0.320 |
0.816 |
0.185 |
0.163 |
0.549 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 69 | 29 | 12 | 16 | 8 | 10 | 12 |
normalized size | 1 | 1.00 | 4.93 | 2.07 | 0.86 | 1.14 | 0.57 | 0.71 | 0.86 |
time (sec) |
N/A |
0.034 |
0.055 |
0.062 |
0.324 |
0.511 |
0.116 |
0.169 |
0.648 |
|
|
|
|
|
|
|
|
|
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|
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|
Problem 176 |
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 | 10 | 10 | 10 | 10 | 8 | 16 | 17 | 10 | 12 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 0.80 | 1.60 | 1.70 | 1.00 | 1.20 |
time (sec) |
N/A |
0.020 |
0.010 |
0.027 |
0.314 |
0.565 |
0.120 |
0.141 |
0.578 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 26 | 70 | 70 | 104 | 0 | 70 | 86 |
normalized size | 1 | 1.00 | 0.76 | 2.06 | 2.06 | 3.06 | 0.00 | 2.06 | 2.53 |
time (sec) |
N/A |
0.039 |
0.044 |
0.062 |
0.345 |
0.736 |
0.000 |
0.157 |
0.754 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 31 | 70 | 117 | 46 | 0 | 41 | 109 |
normalized size | 1 | 1.00 | 0.84 | 1.89 | 3.16 | 1.24 | 0.00 | 1.11 | 2.95 |
time (sec) |
N/A |
0.071 |
0.022 |
0.060 |
0.323 |
0.641 |
0.000 |
0.203 |
0.732 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 68 | 116 | 120 | 200 | 0 | 105 | 198 |
normalized size | 1 | 1.00 | 1.13 | 1.93 | 2.00 | 3.33 | 0.00 | 1.75 | 3.30 |
time (sec) |
N/A |
0.055 |
0.048 |
0.079 |
0.338 |
0.510 |
0.000 |
0.433 |
1.196 |
|
|
|
|
|
|
|
|
|
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|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 47 | 116 | 317 | 82 | 0 | 65 | 139 |
normalized size | 1 | 1.00 | 0.96 | 2.37 | 6.47 | 1.67 | 0.00 | 1.33 | 2.84 |
time (sec) |
N/A |
0.078 |
0.040 |
0.086 |
0.338 |
0.586 |
0.000 |
0.227 |
0.533 |
|
|
|
|
|
|
|
|
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|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 45 | 56 | 33 | 49 | 31 | 27 | 41 |
normalized size | 1 | 1.00 | 1.61 | 2.00 | 1.18 | 1.75 | 1.11 | 0.96 | 1.46 |
time (sec) |
N/A |
0.044 |
0.090 |
0.081 |
0.349 |
0.483 |
0.173 |
0.193 |
0.186 |
|
|
|
|
|
|
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|
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|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 40 | 36 | 53 | 29 | 31 | 16 | 19 |
normalized size | 1 | 1.00 | 2.00 | 1.80 | 2.65 | 1.45 | 1.55 | 0.80 | 0.95 |
time (sec) |
N/A |
0.033 |
0.065 |
0.080 |
0.327 |
0.479 |
0.147 |
0.213 |
0.658 |
|
|
|
|
|
|
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|
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|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 14 | 13 | 10 | 30 | 37 | 12 | 16 |
normalized size | 1 | 1.00 | 0.88 | 0.81 | 0.62 | 1.88 | 2.31 | 0.75 | 1.00 |
time (sec) |
N/A |
0.021 |
0.026 |
0.025 |
0.317 |
0.596 |
0.152 |
0.366 |
0.652 |
|
|
|
|
|
|
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|
|
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|
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|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 45 | 56 | 33 | 49 | 32 | 27 | 39 |
normalized size | 1 | 1.00 | 1.73 | 2.15 | 1.27 | 1.88 | 1.23 | 1.04 | 1.50 |
time (sec) |
N/A |
0.040 |
0.085 |
0.084 |
0.323 |
0.481 |
0.152 |
0.468 |
0.157 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 38 | 36 | 53 | 29 | 31 | 16 | 19 |
normalized size | 1 | 1.00 | 1.90 | 1.80 | 2.65 | 1.45 | 1.55 | 0.80 | 0.95 |
time (sec) |
N/A |
0.033 |
0.064 |
0.069 |
0.325 |
0.792 |
0.149 |
0.150 |
0.592 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 14 | 13 | 10 | 30 | 36 | 12 | 16 |
normalized size | 1 | 1.00 | 0.88 | 0.81 | 0.62 | 1.88 | 2.25 | 0.75 | 1.00 |
time (sec) |
N/A |
0.022 |
0.027 |
0.029 |
0.329 |
0.580 |
0.148 |
0.192 |
0.200 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 138 | 138 | 121 | 837 | 308 | 2105 | 0 | 254 | 287 |
normalized size | 1 | 1.00 | 0.88 | 6.07 | 2.23 | 15.25 | 0.00 | 1.84 | 2.08 |
time (sec) |
N/A |
0.138 |
0.159 |
0.057 |
0.337 |
0.624 |
0.000 |
0.228 |
1.318 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 145 | 145 | 463 | 674 | 283 | 1486 | 0 | 288 | 302 |
normalized size | 1 | 1.00 | 3.19 | 4.65 | 1.95 | 10.25 | 0.00 | 1.99 | 2.08 |
time (sec) |
N/A |
0.414 |
5.831 |
0.056 |
0.426 |
0.675 |
0.000 |
0.470 |
1.241 |
|
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Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 76 | 447 | 180 | 865 | 0 | 139 | 169 |
normalized size | 1 | 1.00 | 0.94 | 5.52 | 2.22 | 10.68 | 0.00 | 1.72 | 2.09 |
time (sec) |
N/A |
0.091 |
0.091 |
0.053 |
0.322 |
0.699 |
0.000 |
0.494 |
0.875 |
|
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Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 553 | 336 | 170 | 569 | 0 | 168 | 200 |
normalized size | 1 | 1.00 | 5.70 | 3.46 | 1.75 | 5.87 | 0.00 | 1.73 | 2.06 |
time (sec) |
N/A |
0.241 |
2.245 |
0.050 |
0.412 |
1.346 |
0.000 |
0.230 |
0.856 |
|
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Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 185 | 81 | 221 | 0 | 61 | 77 |
normalized size | 1 | 1.00 | 1.00 | 4.87 | 2.13 | 5.82 | 0.00 | 1.61 | 2.03 |
time (sec) |
N/A |
0.061 |
0.036 |
0.044 |
0.328 |
0.650 |
0.000 |
0.188 |
0.617 |
|
|
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Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 396 | 126 | 81 | 171 | 377 | 83 | 87 |
normalized size | 1 | 1.00 | 7.33 | 2.33 | 1.50 | 3.17 | 6.98 | 1.54 | 1.61 |
time (sec) |
N/A |
0.109 |
0.768 |
0.040 |
0.412 |
0.772 |
138.906 |
0.222 |
0.632 |
|
|
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Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 11 | 27 | 14 | 22 | 11 |
normalized size | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 2.45 | 1.27 | 2.00 | 1.00 |
time (sec) |
N/A |
0.025 |
0.006 |
0.020 |
0.304 |
0.641 |
0.309 |
0.221 |
0.063 |
|
|
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Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 99 | 71 | 66 | 57 | 0 | 89 | 93 |
normalized size | 1 | 1.00 | 2.06 | 1.48 | 1.38 | 1.19 | 0.00 | 1.85 | 1.94 |
time (sec) |
N/A |
0.060 |
0.096 |
0.043 |
0.413 |
1.020 |
0.000 |
0.178 |
1.352 |
|
|
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Problem 195 |
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 | 59 | 59 | 67 | 71 | 89 | 259 | 0 | 87 | 321 |
normalized size | 1 | 1.00 | 1.14 | 1.20 | 1.51 | 4.39 | 0.00 | 1.47 | 5.44 |
time (sec) |
N/A |
0.079 |
0.170 |
0.048 |
0.417 |
2.362 |
0.000 |
0.177 |
1.044 |
|
|
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Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 77 | 353 | 159 | 652 | 0 | 214 | 291 |
normalized size | 1 | 1.00 | 0.89 | 4.06 | 1.83 | 7.49 | 0.00 | 2.46 | 3.34 |
time (sec) |
N/A |
0.122 |
0.129 |
0.056 |
0.418 |
1.482 |
0.000 |
0.195 |
2.237 |
|
|
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|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 102 | 182 | 230 | 1142 | 0 | 180 | 634 |
normalized size | 1 | 1.00 | 1.02 | 1.82 | 2.30 | 11.42 | 0.00 | 1.80 | 6.34 |
time (sec) |
N/A |
0.213 |
0.343 |
0.063 |
0.441 |
0.613 |
0.000 |
0.470 |
1.607 |
|
|
|
|
|
|
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|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 135 | 1140 | 345 | 2707 | 0 | 369 | 548 |
normalized size | 1 | 1.00 | 1.00 | 8.44 | 2.56 | 20.05 | 0.00 | 2.73 | 4.06 |
time (sec) |
N/A |
0.197 |
0.236 |
0.073 |
0.440 |
1.694 |
0.000 |
0.390 |
4.894 |
|
|
|
|
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|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 146 | 146 | 146 | 350 | 438 | 3175 | 0 | 323 | 1010 |
normalized size | 1 | 1.00 | 1.00 | 2.40 | 3.00 | 21.75 | 0.00 | 2.21 | 6.92 |
time (sec) |
N/A |
0.417 |
0.450 |
0.080 |
0.433 |
2.855 |
0.000 |
0.185 |
2.197 |
|
|
|
|
|
|
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|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 660 | 290 | 176 | 833 | 0 | 178 | 256 |
normalized size | 1 | 1.00 | 7.02 | 3.09 | 1.87 | 8.86 | 0.00 | 1.89 | 2.72 |
time (sec) |
N/A |
0.220 |
4.462 |
0.080 |
0.418 |
0.541 |
0.000 |
0.185 |
0.880 |
|
|
|
|
|
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|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 37 | 141 | 102 | 370 | 133 | 82 | 60 |
normalized size | 1 | 1.00 | 0.92 | 3.52 | 2.55 | 9.25 | 3.32 | 2.05 | 1.50 |
time (sec) |
N/A |
0.060 |
0.067 |
0.077 |
0.331 |
0.831 |
1.062 |
0.236 |
0.706 |
|
|
|
|
|
|
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|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 502 | 119 | 100 | 362 | 0 | 97 | 132 |
normalized size | 1 | 1.00 | 8.10 | 1.92 | 1.61 | 5.84 | 0.00 | 1.56 | 2.13 |
time (sec) |
N/A |
0.111 |
1.791 |
0.061 |
0.412 |
2.987 |
0.000 |
0.228 |
0.671 |
|
|
|
|
|
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|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 14 | 13 | 51 | 19 | 22 | 14 |
normalized size | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 3.92 | 1.46 | 1.69 | 1.08 |
time (sec) |
N/A |
0.025 |
0.012 |
0.033 |
0.308 |
0.658 |
0.614 |
0.342 |
0.532 |
|
|
|
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|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 121 | 201 | 149 | 383 | 0 | 186 | 186 |
normalized size | 1 | 1.00 | 1.53 | 2.54 | 1.89 | 4.85 | 0.00 | 2.35 | 2.35 |
time (sec) |
N/A |
0.103 |
0.456 |
0.072 |
0.415 |
0.509 |
0.000 |
0.559 |
1.795 |
|
|
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|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 94 | 138 | 215 | 802 | 0 | 167 | 302 |
normalized size | 1 | 1.00 | 1.01 | 1.48 | 2.31 | 8.62 | 0.00 | 1.80 | 3.25 |
time (sec) |
N/A |
0.170 |
0.235 |
0.067 |
0.422 |
1.936 |
0.000 |
0.174 |
0.971 |
|
|
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|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 260 | 548 | 375 | 2615 | 0 | 295 | 519 |
normalized size | 1 | 1.00 | 1.91 | 4.03 | 2.76 | 19.23 | 0.00 | 2.17 | 3.82 |
time (sec) |
N/A |
0.165 |
2.438 |
0.099 |
0.415 |
1.706 |
0.000 |
0.183 |
5.073 |
|
|
|
|
|
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|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 144 | 144 | 137 | 266 | 490 | 3044 | 0 | 287 | 476 |
normalized size | 1 | 1.00 | 0.95 | 1.85 | 3.40 | 21.14 | 0.00 | 1.99 | 3.31 |
time (sec) |
N/A |
0.310 |
0.442 |
0.119 |
0.424 |
1.000 |
0.000 |
0.263 |
1.058 |
|
|
|
|
|
|
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|
|
Problem 208 |
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 | 31 | 31 | 96 | 93 | 413 | 88 | 107 | 53 | 231 |
normalized size | 1 | 1.00 | 3.10 | 3.00 | 13.32 | 2.84 | 3.45 | 1.71 | 7.45 |
time (sec) |
N/A |
0.079 |
0.142 |
0.097 |
0.320 |
0.660 |
0.294 |
0.277 |
1.172 |
|
|
|
|
|
|
|
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|
Problem 209 |
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 | 36 | 36 | 42 | 79 | 95 | 152 | 100 | 92 | 113 |
normalized size | 1 | 1.00 | 1.17 | 2.19 | 2.64 | 4.22 | 2.78 | 2.56 | 3.14 |
time (sec) |
N/A |
0.092 |
0.081 |
0.088 |
0.302 |
0.981 |
0.259 |
0.482 |
0.446 |
|
|
|
|
|
|
|
|
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|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 67 | 47 | 109 | 40 | 46 | 29 | 80 |
normalized size | 1 | 1.00 | 2.91 | 2.04 | 4.74 | 1.74 | 2.00 | 1.26 | 3.48 |
time (sec) |
N/A |
0.076 |
0.058 |
0.060 |
0.312 |
0.614 |
0.174 |
0.196 |
0.672 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 20 | 45 | 42 | 56 | 32 | 53 | 29 |
normalized size | 1 | 1.00 | 0.77 | 1.73 | 1.62 | 2.15 | 1.23 | 2.04 | 1.12 |
time (sec) |
N/A |
0.055 |
0.021 |
0.059 |
0.307 |
3.172 |
0.209 |
0.175 |
0.171 |
|
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Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 17 | 28 | 17 | 15 | 23 | 24 |
normalized size | 1 | 1.00 | 1.00 | 0.89 | 1.47 | 0.89 | 0.79 | 1.21 | 1.26 |
time (sec) |
N/A |
0.032 |
0.008 |
0.037 |
0.298 |
0.912 |
0.270 |
0.236 |
0.150 |
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Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 32 | 23 | 27 | 37 | 22 | 24 | 28 |
normalized size | 1 | 1.00 | 2.67 | 1.92 | 2.25 | 3.08 | 1.83 | 2.00 | 2.33 |
time (sec) |
N/A |
0.044 |
0.034 |
0.043 |
0.300 |
0.860 |
0.145 |
0.547 |
0.181 |
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Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 34 | 67 | 33 | 32 | 24 | 25 |
normalized size | 1 | 1.00 | 1.00 | 2.27 | 4.47 | 2.20 | 2.13 | 1.60 | 1.67 |
time (sec) |
N/A |
0.059 |
0.011 |
0.066 |
0.307 |
1.016 |
0.165 |
0.157 |
0.574 |
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Problem 215 |
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 | 26 | 26 | 100 | 59 | 61 | 90 | 61 | 44 | 74 |
normalized size | 1 | 1.00 | 3.85 | 2.27 | 2.35 | 3.46 | 2.35 | 1.69 | 2.85 |
time (sec) |
N/A |
0.078 |
0.038 |
0.074 |
0.872 |
3.279 |
0.278 |
0.177 |
0.307 |
|
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Problem 216 |
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 | 23 | 23 | 33 | 68 | 205 | 63 | 70 | 51 | 44 |
normalized size | 1 | 1.00 | 1.43 | 2.96 | 8.91 | 2.74 | 3.04 | 2.22 | 1.91 |
time (sec) |
N/A |
0.077 |
0.010 |
0.089 |
0.483 |
0.986 |
0.207 |
0.176 |
0.614 |
|
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Problem 217 |
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 | 36 | 36 | 164 | 93 | 91 | 144 | 100 | 62 | 124 |
normalized size | 1 | 1.00 | 4.56 | 2.58 | 2.53 | 4.00 | 2.78 | 1.72 | 3.44 |
time (sec) |
N/A |
0.097 |
0.040 |
0.096 |
0.313 |
1.869 |
0.306 |
0.203 |
0.973 |
|
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Problem 218 |
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 | 47 | 47 | 112 | 116 | 573 | 106 | 128 | 65 | 395 |
normalized size | 1 | 1.00 | 2.38 | 2.47 | 12.19 | 2.26 | 2.72 | 1.38 | 8.40 |
time (sec) |
N/A |
0.123 |
0.152 |
0.121 |
0.882 |
0.504 |
0.292 |
0.370 |
4.070 |
|
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Problem 219 |
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 | 66 | 66 | 52 | 114 | 115 | 201 | 129 | 102 | 209 |
normalized size | 1 | 1.00 | 0.79 | 1.73 | 1.74 | 3.05 | 1.95 | 1.55 | 3.17 |
time (sec) |
N/A |
0.065 |
0.102 |
0.108 |
0.356 |
0.872 |
0.305 |
0.180 |
1.503 |
|
|
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Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 84 | 70 | 197 | 58 | 66 | 41 | 139 |
normalized size | 1 | 1.00 | 2.27 | 1.89 | 5.32 | 1.57 | 1.78 | 1.11 | 3.76 |
time (sec) |
N/A |
0.118 |
0.096 |
0.084 |
0.361 |
1.580 |
0.198 |
0.367 |
0.296 |
|
|
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|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 29 | 66 | 61 | 95 | 58 | 66 | 99 |
normalized size | 1 | 1.00 | 0.81 | 1.83 | 1.69 | 2.64 | 1.61 | 1.83 | 2.75 |
time (sec) |
N/A |
0.037 |
0.031 |
0.082 |
0.333 |
1.741 |
0.227 |
0.523 |
0.873 |
|
|
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|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 23 | 48 | 56 | 39 | 33 | 49 |
normalized size | 1 | 1.00 | 1.00 | 0.92 | 1.92 | 2.24 | 1.56 | 1.32 | 1.96 |
time (sec) |
N/A |
0.040 |
0.029 |
0.058 |
0.346 |
0.818 |
0.261 |
0.157 |
0.304 |
|
|
|
|
|
|
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|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
B |
B |
B |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 66 | 35 | 54 | 79 | 49 | 47 | 60 |
normalized size | 1 | 1.00 | 2.54 | 1.35 | 2.08 | 3.04 | 1.88 | 1.81 | 2.31 |
time (sec) |
N/A |
0.068 |
0.146 |
0.077 |
0.356 |
1.596 |
0.220 |
0.170 |
0.746 |
|
|
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|
|
|
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|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 51 | 64 | 72 | 53 | 53 | 56 |
normalized size | 1 | 1.00 | 1.00 | 1.76 | 2.21 | 2.48 | 1.83 | 1.83 | 1.93 |
time (sec) |
N/A |
0.048 |
0.016 |
0.096 |
0.387 |
1.017 |
0.275 |
0.203 |
0.260 |
|
|
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Problem 225 |
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 | 28 | 28 | 107 | 58 | 67 | 98 | 66 | 50 | 111 |
normalized size | 1 | 1.00 | 3.82 | 2.07 | 2.39 | 3.50 | 2.36 | 1.79 | 3.96 |
time (sec) |
N/A |
0.094 |
0.056 |
0.076 |
0.336 |
0.795 |
0.303 |
0.158 |
0.208 |
|
|
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Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 68 | 171 | 59 | 65 | 38 | 40 |
normalized size | 1 | 1.00 | 1.00 | 2.52 | 6.33 | 2.19 | 2.41 | 1.41 | 1.48 |
time (sec) |
N/A |
0.043 |
0.013 |
0.092 |
0.335 |
1.296 |
0.292 |
0.176 |
0.606 |
|
|
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Problem 227 |
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 | 48 | 48 | 175 | 74 | 103 | 158 | 114 | 74 | 246 |
normalized size | 1 | 1.00 | 3.65 | 1.54 | 2.15 | 3.29 | 2.38 | 1.54 | 5.12 |
time (sec) |
N/A |
0.091 |
0.061 |
0.108 |
0.357 |
0.895 |
0.340 |
0.188 |
0.770 |
|
|
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Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 124 | 124 | 108 | 163 | 241 | 1199 | 0 | 197 | 654 |
normalized size | 1 | 1.00 | 0.87 | 1.31 | 1.94 | 9.67 | 0.00 | 1.59 | 5.27 |
time (sec) |
N/A |
0.184 |
0.366 |
0.065 |
0.440 |
1.446 |
0.000 |
0.437 |
1.475 |
|
|
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Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 153 | 357 | 160 | 655 | 0 | 211 | 291 |
normalized size | 1 | 1.00 | 1.74 | 4.06 | 1.82 | 7.44 | 0.00 | 2.40 | 3.31 |
time (sec) |
N/A |
0.175 |
0.187 |
0.063 |
0.507 |
0.877 |
0.000 |
0.186 |
2.278 |
|
|
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|
Problem 230 |
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 | 69 | 69 | 69 | 84 | 89 | 257 | 0 | 87 | 330 |
normalized size | 1 | 1.00 | 1.00 | 1.22 | 1.29 | 3.72 | 0.00 | 1.26 | 4.78 |
time (sec) |
N/A |
0.091 |
0.195 |
0.053 |
0.454 |
0.835 |
0.000 |
0.171 |
0.938 |
|
|
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|
Problem 231 |
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 | 48 | 48 | 36 | 84 | 66 | 57 | 0 | 89 | 95 |
normalized size | 1 | 1.00 | 0.75 | 1.75 | 1.38 | 1.19 | 0.00 | 1.85 | 1.98 |
time (sec) |
N/A |
0.069 |
0.060 |
0.046 |
0.499 |
0.632 |
0.000 |
0.275 |
1.404 |
|
|
|
|
|
|
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|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 21 | 46 | 40 | 0 | 39 | 195 |
normalized size | 1 | 1.00 | 1.00 | 1.05 | 2.30 | 2.00 | 0.00 | 1.95 | 9.75 |
time (sec) |
N/A |
0.041 |
0.010 |
0.041 |
0.365 |
1.121 |
0.000 |
0.202 |
0.887 |
|
|
|
|
|
|
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|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 82 | 107 | 97 | 228 | 0 | 95 | 304 |
normalized size | 1 | 1.00 | 1.46 | 1.91 | 1.73 | 4.07 | 0.00 | 1.70 | 5.43 |
time (sec) |
N/A |
0.235 |
0.183 |
0.057 |
0.464 |
0.618 |
0.000 |
0.497 |
0.835 |
|
|
|
|
|
|
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Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 45 | 120 | 116 | 427 | 0 | 125 | 1163 |
normalized size | 1 | 1.00 | 0.87 | 2.31 | 2.23 | 8.21 | 0.00 | 2.40 | 22.37 |
time (sec) |
N/A |
0.095 |
0.063 |
0.066 |
0.350 |
0.750 |
0.000 |
0.270 |
1.236 |
|
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Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 108 | 176 | 232 | 212 | 1303 | 0 | 194 | 778 |
normalized size | 1 | 1.00 | 1.63 | 2.15 | 1.96 | 12.06 | 0.00 | 1.80 | 7.20 |
time (sec) |
N/A |
0.413 |
0.429 |
0.065 |
0.460 |
2.020 |
0.000 |
0.456 |
1.414 |
|
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Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 224 | 224 | 144 | 262 | 523 | 3534 | 0 | 292 | 543 |
normalized size | 1 | 1.00 | 0.64 | 1.17 | 2.33 | 15.78 | 0.00 | 1.30 | 2.42 |
time (sec) |
N/A |
0.435 |
0.412 |
0.103 |
0.447 |
0.945 |
0.000 |
0.539 |
1.297 |
|
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Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 150 | 491 | 375 | 2850 | 0 | 307 | 501 |
normalized size | 1 | 1.00 | 1.11 | 3.64 | 2.78 | 21.11 | 0.00 | 2.27 | 3.71 |
time (sec) |
N/A |
0.356 |
0.700 |
0.096 |
0.468 |
1.660 |
0.000 |
0.447 |
3.890 |
|
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Problem 238 |
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 | 144 | 144 | 100 | 142 | 223 | 900 | 0 | 181 | 377 |
normalized size | 1 | 1.00 | 0.69 | 0.99 | 1.55 | 6.25 | 0.00 | 1.26 | 2.62 |
time (sec) |
N/A |
0.249 |
0.270 |
0.080 |
0.523 |
0.912 |
0.000 |
0.611 |
1.149 |
|
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Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 146 | 248 | 155 | 423 | 0 | 199 | 190 |
normalized size | 1 | 1.00 | 1.72 | 2.92 | 1.82 | 4.98 | 0.00 | 2.34 | 2.24 |
time (sec) |
N/A |
0.103 |
0.239 |
0.069 |
0.485 |
1.535 |
0.000 |
0.170 |
1.755 |
|
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Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 27 | 33 | 75 | 158 | 0 | 75 | 240 |
normalized size | 1 | 1.00 | 0.84 | 1.03 | 2.34 | 4.94 | 0.00 | 2.34 | 7.50 |
time (sec) |
N/A |
0.053 |
0.051 |
0.054 |
0.329 |
1.158 |
0.000 |
0.145 |
0.974 |
|
|
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Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 102 | 170 | 165 | 1257 | 0 | 148 | 897 |
normalized size | 1 | 1.00 | 1.28 | 2.12 | 2.06 | 15.71 | 0.00 | 1.85 | 11.21 |
time (sec) |
N/A |
0.402 |
0.479 |
0.069 |
0.474 |
1.487 |
0.000 |
0.249 |
1.776 |
|
|
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Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 73 | 184 | 202 | 1463 | 0 | 190 | 1375 |
normalized size | 1 | 1.00 | 0.96 | 2.42 | 2.66 | 19.25 | 0.00 | 2.50 | 18.09 |
time (sec) |
N/A |
0.110 |
0.213 |
0.088 |
0.365 |
1.358 |
0.000 |
0.337 |
1.633 |
|
|
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Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 159 | 159 | 214 | 357 | 339 | 3648 | 0 | 242 | 1450 |
normalized size | 1 | 1.00 | 1.35 | 2.25 | 2.13 | 22.94 | 0.00 | 1.52 | 9.12 |
time (sec) |
N/A |
0.671 |
0.823 |
0.084 |
0.450 |
1.970 |
0.000 |
0.250 |
1.534 |
|
|
|
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|
Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 37 | 30 | 0 | 356 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.81 | 0.00 | 9.62 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A |
0.062 |
0.023 |
0.033 |
0.000 |
1.151 |
0.000 |
0.000 |
0.000 |
|
|
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|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 19 | 0 | 370 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.79 | 0.00 | 15.42 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A |
0.059 |
0.013 |
0.035 |
0.000 |
1.401 |
0.000 |
0.000 |
0.000 |
|
|
|
|
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|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 59 | 88 | 68 | 170 | 745 | 87 | 198 |
normalized size | 1 | 1.00 | 1.16 | 1.73 | 1.33 | 3.33 | 14.61 | 1.71 | 3.88 |
time (sec) |
N/A |
0.135 |
0.079 |
0.045 |
0.451 |
2.170 |
73.278 |
0.295 |
2.643 |
|
|
|
|
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|
Problem 247 |
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 | 48 | 46 | 19 | 37 | 24 | 22 | 24 |
normalized size | 1 | 1.00 | 1.92 | 1.84 | 0.76 | 1.48 | 0.96 | 0.88 | 0.96 |
time (sec) |
N/A |
0.083 |
0.069 |
0.056 |
0.356 |
1.997 |
0.168 |
0.238 |
0.135 |
|
|
|
|
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|
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|
Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 81 | 44 | 20 | 36 | 22 | 21 | 23 |
normalized size | 1 | 1.00 | 3.00 | 1.63 | 0.74 | 1.33 | 0.81 | 0.78 | 0.85 |
time (sec) |
N/A |
0.087 |
0.095 |
0.061 |
0.371 |
1.035 |
0.161 |
0.189 |
0.118 |
|
|
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|
Problem 249 |
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 | 89 | 89 | 132 | 150 | 125 | 172 | 0 | 123 | 914 |
normalized size | 1 | 1.00 | 1.48 | 1.69 | 1.40 | 1.93 | 0.00 | 1.38 | 10.27 |
time (sec) |
N/A |
0.177 |
0.368 |
0.054 |
0.466 |
6.493 |
0.000 |
0.210 |
8.673 |
|
|
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Problem 250 |
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 | 60 | 60 | 65 | 73 | 106 | 183 | 0 | 102 | 164 |
normalized size | 1 | 1.00 | 1.08 | 1.22 | 1.77 | 3.05 | 0.00 | 1.70 | 2.73 |
time (sec) |
N/A |
0.150 |
0.165 |
0.059 |
0.479 |
1.628 |
0.000 |
0.361 |
11.212 |
|
|
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Problem 251 |
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 | 89 | 89 | 93 | 150 | 125 | 172 | 0 | 123 | 864 |
normalized size | 1 | 1.00 | 1.04 | 1.69 | 1.40 | 1.93 | 0.00 | 1.38 | 9.71 |
time (sec) |
N/A |
0.252 |
0.250 |
0.058 |
0.535 |
8.215 |
0.000 |
0.512 |
10.644 |
|
|
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Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 67 | 86 | 141 | 172 | 0 | 90 | 539 |
normalized size | 1 | 1.00 | 1.16 | 1.48 | 2.43 | 2.97 | 0.00 | 1.55 | 9.29 |
time (sec) |
N/A |
0.157 |
0.118 |
0.053 |
0.462 |
1.468 |
0.000 |
0.179 |
2.182 |
|
|
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|
Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 85 | 213 | 176 | 249 | 1318 | 131 | 656 |
normalized size | 1 | 1.00 | 1.05 | 2.63 | 2.17 | 3.07 | 16.27 | 1.62 | 8.10 |
time (sec) |
N/A |
0.169 |
0.290 |
0.115 |
0.442 |
1.398 |
40.013 |
0.201 |
1.849 |
|
|
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|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 113 | 151 | 339 | 570 | 0 | 177 | 279 |
normalized size | 1 | 1.00 | 1.00 | 1.34 | 3.00 | 5.04 | 0.00 | 1.57 | 2.47 |
time (sec) |
N/A |
0.169 |
0.519 |
0.184 |
0.449 |
0.682 |
0.000 |
0.297 |
1.196 |
|
|
|
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|
Problem 255 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 180 | 180 | 170 | 416 | 726 | 1880 | 0 | 423 | -1 |
normalized size | 1 | 1.00 | 0.94 | 2.31 | 4.03 | 10.44 | 0.00 | 2.35 | -0.01 |
time (sec) |
N/A |
0.270 |
0.685 |
0.208 |
0.467 |
1.278 |
0.000 |
0.353 |
0.000 |
|
|
|
|
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|
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Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 250 | 250 | 235 | 844 | 1263 | 4350 | 0 | 717 | -1 |
normalized size | 1 | 1.00 | 0.94 | 3.38 | 5.05 | 17.40 | 0.00 | 2.87 | -0.00 |
time (sec) |
N/A |
0.440 |
1.580 |
0.230 |
0.510 |
1.018 |
0.000 |
0.504 |
0.000 |
|
|
|
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Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
C |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 439 | 439 | 319 | 919 | 0 | 1655 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.73 | 2.09 | 0.00 | 3.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.730 |
0.859 |
0.109 |
0.000 |
0.851 |
0.000 |
0.000 |
0.000 |
|
|
|
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Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
C |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 327 | 327 | 240 | 710 | 0 | 1247 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.73 | 2.17 | 0.00 | 3.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.538 |
0.754 |
0.090 |
0.000 |
1.921 |
0.000 |
0.000 |
0.000 |
|
|
|
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Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 215 | 215 | 576 | 505 | 0 | 837 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.68 | 2.35 | 0.00 | 3.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.329 |
0.818 |
0.091 |
0.000 |
3.276 |
0.000 |
0.000 |
0.000 |
|
|
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Problem 260 |
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 | 47 | 47 | 41 | 47 | 42 | 67 | 0 | 42 | -1 |
normalized size | 1 | 1.00 | 0.87 | 1.00 | 0.89 | 1.43 | 0.00 | 0.89 | -0.02 |
time (sec) |
N/A |
0.456 |
0.103 |
0.214 |
0.455 |
1.078 |
0.000 |
0.337 |
0.000 |
|
|
|
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Problem 261 |
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 | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.112 |
0.081 |
0.228 |
0.000 |
1.451 |
0.000 |
0.000 |
0.000 |
|
|
|
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|
Problem 262 |
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 | 58 | 58 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.081 |
0.037 |
0.157 |
0.000 |
0.796 |
0.000 |
0.000 |
0.000 |
|
|
|
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|
Problem 263 |
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 | 26 | 26 | 26 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A |
0.038 |
0.031 |
0.105 |
0.000 |
1.084 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.037 |
13.090 |
0.105 |
0.000 |
1.985 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
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|
Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
N/A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
N/A |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.080 |
38.063 |
0.102 |
0.000 |
0.940 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
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|
Problem 266 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 41 | 0 | 52 | 44 | 0 | 47 | 43 |
normalized size | 1 | 1.00 | 0.76 | 0.00 | 0.96 | 0.81 | 0.00 | 0.87 | 0.80 |
time (sec) |
N/A |
0.011 |
0.070 |
0.035 |
0.349 |
0.810 |
0.000 |
0.283 |
0.646 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 267 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 55 | 0 | 67 | 91 | 0 | 169 | 53 |
normalized size | 1 | 1.00 | 0.62 | 0.00 | 0.76 | 1.03 | 0.00 | 1.92 | 0.60 |
time (sec) |
N/A |
0.021 |
0.115 |
0.200 |
0.356 |
1.050 |
0.000 |
0.264 |
0.646 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 268 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 149 | 149 | 120 | 0 | 114 | 200 | 0 | 665 | 93 |
normalized size | 1 | 1.00 | 0.81 | 0.00 | 0.77 | 1.34 | 0.00 | 4.46 | 0.62 |
time (sec) |
N/A |
0.041 |
0.526 |
0.192 |
0.402 |
0.758 |
0.000 |
0.264 |
0.720 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 191 | 191 | 167 | 0 | 129 | 294 | 0 | 777 | 102 |
normalized size | 1 | 1.00 | 0.87 | 0.00 | 0.68 | 1.54 | 0.00 | 4.07 | 0.53 |
time (sec) |
N/A |
0.051 |
0.442 |
0.249 |
0.394 |
2.892 |
0.000 |
0.297 |
0.689 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 54 | 0 | 64 | 98 | 0 | 235 | 56 |
normalized size | 1 | 1.00 | 0.74 | 0.00 | 0.88 | 1.34 | 0.00 | 3.22 | 0.77 |
time (sec) |
N/A |
0.024 |
0.141 |
0.041 |
0.377 |
4.615 |
0.000 |
0.237 |
0.704 |
|
|
|
|
|
|
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|
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|
|
|
|
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|
|
Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 120 | 120 | 89 | 0 | 87 | 248 | 0 | 758 | 74 |
normalized size | 1 | 1.00 | 0.74 | 0.00 | 0.72 | 2.07 | 0.00 | 6.32 | 0.62 |
time (sec) |
N/A |
0.048 |
0.302 |
0.187 |
0.363 |
1.377 |
0.000 |
0.227 |
0.754 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
B |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 203 | 197 | 292 | 0 | 138 | 585 | 0 | 3225 | 118 |
normalized size | 1 | 0.97 | 1.44 | 0.00 | 0.68 | 2.88 | 0.00 | 15.89 | 0.58 |
time (sec) |
N/A |
0.086 |
1.346 |
0.191 |
0.397 |
1.926 |
0.000 |
0.357 |
0.849 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 273 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
B |
F(-1) |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 266 | 260 | 311 | 0 | 161 | 1125 | 0 | 6884 | 136 |
normalized size | 1 | 0.98 | 1.17 | 0.00 | 0.61 | 4.23 | 0.00 | 25.88 | 0.51 |
time (sec) |
N/A |
0.128 |
3.492 |
0.272 |
0.391 |
0.618 |
0.000 |
0.437 |
0.867 |
|
|
|
|
|
|
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|
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|
|
Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 37 | 19 | 18 | 19 | 37 | 40 | 18 |
normalized size | 1 | 1.00 | 2.06 | 1.06 | 1.00 | 1.06 | 2.06 | 2.22 | 1.00 |
time (sec) |
N/A |
0.017 |
0.012 |
0.009 |
0.325 |
0.606 |
0.991 |
0.186 |
0.658 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 275 |
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 | 39 | 39 | 36 | 52 | 49 | 40 | 0 | 81 | 32 |
normalized size | 1 | 1.00 | 0.92 | 1.33 | 1.26 | 1.03 | 0.00 | 2.08 | 0.82 |
time (sec) |
N/A |
0.029 |
0.029 |
0.020 |
0.325 |
2.131 |
0.000 |
0.187 |
0.693 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 276 |
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 | 43 | 43 | 45 | 36 | 86 | 65 | 82 | 81 | 37 |
normalized size | 1 | 1.00 | 1.05 | 0.84 | 2.00 | 1.51 | 1.91 | 1.88 | 0.86 |
time (sec) |
N/A |
0.035 |
0.014 |
0.022 |
0.329 |
1.411 |
10.438 |
0.211 |
0.724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 277 |
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 | 73 | 73 | 51 | 84 | 93 | 84 | 0 | 114 | 51 |
normalized size | 1 | 1.00 | 0.70 | 1.15 | 1.27 | 1.15 | 0.00 | 1.56 | 0.70 |
time (sec) |
N/A |
0.047 |
0.045 |
0.025 |
0.335 |
0.718 |
0.000 |
0.292 |
0.785 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 68 | 51 | 130 | 130 | 122 | 115 | 49 |
normalized size | 1 | 1.00 | 1.05 | 0.78 | 2.00 | 2.00 | 1.88 | 1.77 | 0.75 |
time (sec) |
N/A |
0.042 |
0.019 |
0.031 |
0.337 |
1.085 |
94.651 |
0.209 |
0.839 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 96 | 227 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.86 | 2.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.065 |
0.090 |
0.089 |
0.000 |
1.219 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 280 |
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 | 111 | 111 | 114 | 143 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.03 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.060 |
0.138 |
0.020 |
0.000 |
0.673 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
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 | 72 | 72 | 68 | 146 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.94 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.044 |
0.041 |
0.076 |
0.000 |
0.830 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 282 |
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 | 72 | 72 | 66 | 120 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.044 |
0.045 |
0.061 |
0.000 |
0.490 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 283 |
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 | 107 | 107 | 80 | 212 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.75 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.057 |
0.062 |
0.083 |
0.000 |
0.711 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 111 | 122 | 144 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.10 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.061 |
0.128 |
0.085 |
0.000 |
0.749 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
A |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 86 | 0 | 0 | 162 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.41 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.160 |
0.443 |
0.397 |
0.000 |
1.049 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 286 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 74 | 0 | 0 | 117 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 1.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.087 |
0.287 |
0.273 |
0.000 |
1.399 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 287 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 61 | 0 | 0 | 68 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.42 | 0.00 | 0.00 | 1.58 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.053 |
0.155 |
0.225 |
0.000 |
0.577 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 288 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 103 | 103 | 121 | 0 | 0 | 128 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.17 | 0.00 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.079 |
0.273 |
0.227 |
0.000 |
0.554 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 289 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 38 | 0 | 48 | 0 | 102 | -1 |
normalized size | 1 | 1.00 | 1.00 | 1.06 | 0.00 | 1.33 | 0.00 | 2.83 | -0.03 |
time (sec) |
N/A |
0.047 |
0.020 |
0.020 |
0.000 |
0.834 |
0.000 |
2.635 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 290 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 37 | 50 | 0 | 73 | 0 | 97 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.28 | 0.00 | 1.87 | 0.00 | 2.49 | -0.03 |
time (sec) |
N/A |
0.064 |
0.038 |
0.037 |
0.000 |
1.004 |
0.000 |
3.084 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 54 | 74 | 0 | 118 | 0 | 167 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.25 | 0.00 | 2.00 | 0.00 | 2.83 | -0.02 |
time (sec) |
N/A |
0.085 |
0.060 |
0.033 |
0.000 |
1.139 |
0.000 |
3.904 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 292 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 70 | 113 | 0 | 253 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.95 | 1.53 | 0.00 | 3.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.130 |
0.302 |
0.054 |
0.000 |
1.121 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 85 | 120 | 0 | 277 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.06 | 1.50 | 0.00 | 3.46 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.146 |
0.384 |
0.184 |
0.000 |
0.494 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 143 | 143 | 172 | 228 | 0 | 701 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.20 | 1.59 | 0.00 | 4.90 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.246 |
0.487 |
0.186 |
0.000 |
0.630 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 295 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 373 | 347 | 0 | 171 | 0 | 764 | -1 |
normalized size | 1 | 1.00 | 3.69 | 3.44 | 0.00 | 1.69 | 0.00 | 7.56 | -0.01 |
time (sec) |
N/A |
0.179 |
0.713 |
0.051 |
0.000 |
0.434 |
0.000 |
4.233 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 296 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 112 | 358 | 0 | 370 | 0 | 749 | -1 |
normalized size | 1 | 1.00 | 1.05 | 3.35 | 0.00 | 3.46 | 0.00 | 7.00 | -0.01 |
time (sec) |
N/A |
0.182 |
0.867 |
0.210 |
0.000 |
3.329 |
0.000 |
17.256 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 194 | 194 | 599 | 700 | 0 | 717 | 0 | 1383 | -1 |
normalized size | 1 | 1.00 | 3.09 | 3.61 | 0.00 | 3.70 | 0.00 | 7.13 | -0.01 |
time (sec) |
N/A |
0.328 |
1.420 |
0.183 |
0.000 |
1.332 |
0.000 |
24.021 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
F |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 121 | 121 | 449 | 459 | 0 | 202 | 0 | 1736 | -1 |
normalized size | 1 | 1.00 | 3.71 | 3.79 | 0.00 | 1.67 | 0.00 | 14.35 | -0.01 |
time (sec) |
N/A |
0.259 |
1.476 |
0.085 |
0.000 |
1.609 |
0.000 |
34.354 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 129 | 129 | 136 | 468 | 0 | 477 | 0 | 1703 | -1 |
normalized size | 1 | 1.00 | 1.05 | 3.63 | 0.00 | 3.70 | 0.00 | 13.20 | -0.01 |
time (sec) |
N/A |
0.279 |
2.100 |
0.241 |
0.000 |
1.654 |
0.000 |
154.691 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 300 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
B |
F(-1) |
B |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 226 | 226 | 671 | 922 | 0 | 942 | 0 | 3230 | -1 |
normalized size | 1 | 1.00 | 2.97 | 4.08 | 0.00 | 4.17 | 0.00 | 14.29 | -0.00 |
time (sec) |
N/A |
0.476 |
6.004 |
0.218 |
0.000 |
1.953 |
0.000 |
178.857 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 301 |
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 | 62 | 45 | 68 | 113 | 139 | 60 | 58 |
normalized size | 1 | 1.00 | 0.75 | 0.54 | 0.82 | 1.36 | 1.67 | 0.72 | 0.70 |
time (sec) |
N/A |
0.040 |
0.044 |
0.018 |
0.398 |
0.774 |
59.123 |
0.127 |
0.532 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 302 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 45 | 49 | 53 | 95 | 182 | 57 | 42 |
normalized size | 1 | 1.00 | 0.79 | 0.86 | 0.93 | 1.67 | 3.19 | 1.00 | 0.74 |
time (sec) |
N/A |
0.038 |
0.035 |
0.020 |
0.352 |
0.647 |
17.824 |
0.136 |
0.799 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 303 |
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 | 49 | 49 | 39 | 35 | 40 | 54 | 78 | 34 | 36 |
normalized size | 1 | 1.00 | 0.80 | 0.71 | 0.82 | 1.10 | 1.59 | 0.69 | 0.73 |
time (sec) |
N/A |
0.031 |
0.021 |
0.018 |
0.379 |
0.804 |
5.154 |
0.136 |
0.615 |
|
|
|
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|
Problem 304 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 23 | 37 | 24 | 50 | 80 | 24 | 18 |
normalized size | 1 | 1.00 | 1.00 | 1.61 | 1.04 | 2.17 | 3.48 | 1.04 | 0.78 |
time (sec) |
N/A |
0.016 |
0.012 |
0.013 |
0.358 |
4.003 |
1.072 |
0.110 |
0.069 |
|
|
|
|
|
|
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|
Problem 305 |
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 | 19 | 19 | 19 | 19 | 27 | 30 | 0 | 24 | 16 |
normalized size | 1 | 1.00 | 1.00 | 1.00 | 1.42 | 1.58 | 0.00 | 1.26 | 0.84 |
time (sec) |
N/A |
0.019 |
0.010 |
0.019 |
0.301 |
2.029 |
0.000 |
0.116 |
0.070 |
|
|
|
|
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|
Problem 306 |
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 | 42 | 42 | 38 | 25 | 52 | 157 | 0 | 48 | 52 |
normalized size | 1 | 1.00 | 0.90 | 0.60 | 1.24 | 3.74 | 0.00 | 1.14 | 1.24 |
time (sec) |
N/A |
0.031 |
0.072 |
0.022 |
0.383 |
0.852 |
0.000 |
0.134 |
0.617 |
|
|
|
|
|
|
|
|
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|
Problem 307 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 29 | 24 | 68 | 88 | 0 | 31 | 31 |
normalized size | 1 | 1.00 | 0.94 | 0.77 | 2.19 | 2.84 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A |
0.028 |
0.019 |
0.034 |
0.296 |
0.542 |
0.000 |
0.126 |
0.582 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 308 |
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 | 101 | 101 | 75 | 37 | 100 | 705 | 0 | 75 | 135 |
normalized size | 1 | 1.00 | 0.74 | 0.37 | 0.99 | 6.98 | 0.00 | 0.74 | 1.34 |
time (sec) |
N/A |
0.054 |
0.073 |
0.033 |
0.302 |
2.047 |
0.000 |
0.138 |
0.602 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 309 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 44 | 35 | 172 | 233 | 0 | 42 | 42 |
normalized size | 1 | 1.00 | 0.67 | 0.53 | 2.61 | 3.53 | 0.00 | 0.64 | 0.64 |
time (sec) |
N/A |
0.056 |
0.037 |
0.122 |
0.361 |
2.728 |
0.000 |
0.130 |
0.601 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 310 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 17 | 47 | 42 | 17 | 17 |
normalized size | 1 | 1.00 | 1.00 | 1.31 | 0.65 | 1.81 | 1.62 | 0.65 | 0.65 |
time (sec) |
N/A |
0.020 |
0.014 |
0.040 |
0.312 |
0.654 |
0.665 |
0.111 |
0.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 311 |
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 | 19 | 19 | 16 | 22 | 13 | 26 | 20 | 13 | 12 |
normalized size | 1 | 1.00 | 0.84 | 1.16 | 0.68 | 1.37 | 1.05 | 0.68 | 0.63 |
time (sec) |
N/A |
0.011 |
0.008 |
0.015 |
0.316 |
0.591 |
0.265 |
0.131 |
0.562 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 312 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F |
B |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 34 | 18 | 25 | 0 | 19 | 26 |
normalized size | 1 | 1.00 | 1.00 | 3.09 | 1.64 | 2.27 | 0.00 | 1.73 | 2.36 |
time (sec) |
N/A |
0.013 |
0.009 |
0.079 |
0.410 |
0.759 |
0.000 |
0.126 |
0.170 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 313 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 46 | 32 | 182 | 0 | 33 | 36 |
normalized size | 1 | 1.00 | 1.00 | 1.44 | 1.00 | 5.69 | 0.00 | 1.03 | 1.12 |
time (sec) |
N/A |
0.024 |
0.037 |
0.086 |
0.398 |
2.302 |
0.000 |
0.114 |
0.715 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 314 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 17 | 67 | 42 | 17 | 17 |
normalized size | 1 | 1.00 | 1.00 | 1.31 | 0.65 | 2.58 | 1.62 | 0.65 | 0.65 |
time (sec) |
N/A |
0.020 |
0.016 |
0.029 |
0.303 |
3.422 |
0.662 |
0.113 |
0.580 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 315 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 16 | 26 | 13 | 40 | 20 | 13 | 12 |
normalized size | 1 | 1.00 | 0.84 | 1.37 | 0.68 | 2.11 | 1.05 | 0.68 | 0.63 |
time (sec) |
N/A |
0.012 |
0.009 |
0.036 |
0.302 |
1.434 |
0.260 |
0.112 |
0.053 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 316 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 22 | 79 | 73 | 83 | 0 | 43 | 65 |
normalized size | 1 | 1.00 | 0.41 | 1.46 | 1.35 | 1.54 | 0.00 | 0.80 | 1.20 |
time (sec) |
N/A |
0.057 |
0.012 |
0.082 |
0.405 |
1.090 |
0.000 |
0.134 |
0.178 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 317 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 34 | 148 | 85 | 560 | 0 | 86 | 91 |
normalized size | 1 | 1.00 | 0.32 | 1.41 | 0.81 | 5.33 | 0.00 | 0.82 | 0.87 |
time (sec) |
N/A |
0.139 |
0.026 |
0.099 |
0.405 |
0.855 |
0.000 |
0.126 |
0.401 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 318 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 34 | 17 | 87 | 42 | 17 | 17 |
normalized size | 1 | 1.00 | 1.00 | 1.31 | 0.65 | 3.35 | 1.62 | 0.65 | 0.65 |
time (sec) |
N/A |
0.021 |
0.017 |
0.029 |
0.303 |
1.396 |
0.654 |
0.129 |
0.085 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 319 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 26 | 13 | 46 | 20 | 13 | 13 |
normalized size | 1 | 1.00 | 1.00 | 1.37 | 0.68 | 2.42 | 1.05 | 0.68 | 0.68 |
time (sec) |
N/A |
0.012 |
0.010 |
0.016 |
0.305 |
1.368 |
0.262 |
0.128 |
0.055 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 320 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 22 | 56 | 95 | 132 | 0 | 96 | 106 |
normalized size | 1 | 1.00 | 0.19 | 0.50 | 0.84 | 1.17 | 0.00 | 0.85 | 0.94 |
time (sec) |
N/A |
0.077 |
0.012 |
0.091 |
0.413 |
1.332 |
0.000 |
0.130 |
0.371 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 321 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 34 | 68 | 107 | 207 | 0 | 108 | 120 |
normalized size | 1 | 1.00 | 0.26 | 0.52 | 0.82 | 1.58 | 0.00 | 0.82 | 0.92 |
time (sec) |
N/A |
0.088 |
0.025 |
0.099 |
0.413 |
2.978 |
0.000 |
0.135 |
0.921 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 322 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 202 | 202 | 157 | 326 | 134 | 2228 | 0 | 1239 | 166 |
normalized size | 1 | 1.00 | 0.78 | 1.61 | 0.66 | 11.03 | 0.00 | 6.13 | 0.82 |
time (sec) |
N/A |
0.082 |
0.692 |
0.129 |
0.332 |
1.006 |
0.000 |
0.266 |
1.565 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 323 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 86 | 143 | 94 | 703 | 604 | 904 | 97 |
normalized size | 1 | 1.00 | 0.65 | 1.08 | 0.71 | 5.33 | 4.58 | 6.85 | 0.73 |
time (sec) |
N/A |
0.053 |
0.206 |
0.071 |
0.323 |
0.516 |
34.104 |
0.221 |
0.916 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 324 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
A |
C |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 50 | 77 | 63 | 244 | 342 | 612 | 73 |
normalized size | 1 | 1.00 | 0.67 | 1.03 | 0.84 | 3.25 | 4.56 | 8.16 | 0.97 |
time (sec) |
N/A |
0.019 |
0.115 |
0.020 |
0.320 |
0.534 |
7.846 |
0.200 |
0.657 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 325 |
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 | 66 | 66 | 93 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A |
0.022 |
5.611 |
0.041 |
0.000 |
0.840 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 326 |
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 | 68 | 68 | 87 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.029 |
2.816 |
0.040 |
0.000 |
0.733 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 327 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 299 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.053 |
20.196 |
0.056 |
0.000 |
0.929 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 328 |
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 | 131 | 131 | 202 | 0 | 0 | 0 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A |
0.060 |
7.062 |
0.060 |
0.000 |
0.571 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 329 |
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 | 250 | 250 | 106 | 184 | 90 | 218 | 0 | 269 | -1 |
normalized size | 1 | 1.00 | 0.42 | 0.74 | 0.36 | 0.87 | 0.00 | 1.08 | -0.00 |
time (sec) |
N/A |
0.248 |
0.113 |
0.226 |
0.412 |
0.665 |
0.000 |
0.188 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 330 |
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 | 162 | 162 | 76 | 152 | 62 | 126 | 0 | 195 | -1 |
normalized size | 1 | 1.00 | 0.47 | 0.94 | 0.38 | 0.78 | 0.00 | 1.20 | -0.01 |
time (sec) |
N/A |
0.139 |
0.061 |
0.182 |
0.415 |
0.801 |
0.000 |
0.153 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 331 |
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 | 48 | 100 | 36 | 66 | 175 | 71 | 77 |
normalized size | 1 | 1.00 | 0.65 | 1.35 | 0.49 | 0.89 | 2.36 | 0.96 | 1.04 |
time (sec) |
N/A |
0.112 |
0.037 |
0.200 |
0.411 |
0.686 |
17.302 |
0.124 |
0.632 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 332 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F(-2) |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 44 | 0 | 39 | 42 | 0 | 85 | -1 |
normalized size | 1 | 1.00 | 0.96 | 0.00 | 0.85 | 0.91 | 0.00 | 1.85 | -0.02 |
time (sec) |
N/A |
0.129 |
0.055 |
180.000 |
0.413 |
0.468 |
0.000 |
0.143 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 333 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F(-2) |
A |
B |
F |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 46 | 0 | 84 | 121 | 0 | 87 | 76 |
normalized size | 1 | 1.00 | 0.79 | 0.00 | 1.45 | 2.09 | 0.00 | 1.50 | 1.31 |
time (sec) |
N/A |
0.143 |
0.071 |
180.000 |
0.414 |
0.812 |
0.000 |
0.188 |
0.588 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 334 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F(-2) |
A |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 147 | 147 | 72 | 0 | 209 | 315 | 0 | 122 | 89 |
normalized size | 1 | 1.00 | 0.49 | 0.00 | 1.42 | 2.14 | 0.00 | 0.83 | 0.61 |
time (sec) |
N/A |
0.214 |
0.069 |
180.000 |
0.416 |
0.679 |
0.000 |
0.204 |
0.616 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 335 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F(-2) |
B |
B |
F(-1) |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 199 | 199 | 84 | 0 | 386 | 592 | 0 | 161 | 353 |
normalized size | 1 | 1.00 | 0.42 | 0.00 | 1.94 | 2.97 | 0.00 | 0.81 | 1.77 |
time (sec) |
N/A |
0.279 |
0.077 |
180.000 |
0.417 |
0.572 |
0.000 |
0.211 |
0.622 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 336 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 28 | 62 | 0 | 42 | 99 | 32 | 45 |
normalized size | 1 | 1.00 | 0.68 | 1.51 | 0.00 | 1.02 | 2.41 | 0.78 | 1.10 |
time (sec) |
N/A |
0.013 |
0.047 |
0.038 |
0.000 |
0.887 |
0.757 |
0.115 |
0.095 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 337 |
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 | 85 | 85 | 80 | 72 | 65 | 103 | 0 | 73 | -1 |
normalized size | 1 | 1.00 | 0.94 | 0.85 | 0.76 | 1.21 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A |
0.081 |
0.093 |
0.147 |
0.306 |
0.879 |
0.000 |
0.125 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 338 |
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 | 101 | 101 | 92 | 97 | 81 | 129 | 0 | 91 | -1 |
normalized size | 1 | 1.00 | 0.91 | 0.96 | 0.80 | 1.28 | 0.00 | 0.90 | -0.01 |
time (sec) |
N/A |
0.147 |
0.171 |
0.227 |
0.316 |
0.647 |
0.000 |
0.145 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 339 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
C |
A |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 51 | 52 | 45 | 45 | 0 | 45 | -1 |
normalized size | 1 | 1.00 | 0.78 | 0.80 | 0.69 | 0.69 | 0.00 | 0.69 | -0.02 |
time (sec) |
N/A |
0.065 |
0.067 |
0.121 |
0.312 |
0.759 |
0.000 |
0.123 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 340 |
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 | 65 | 65 | 72 | 48 | 47 | 75 | 0 | 49 | -1 |
normalized size | 1 | 1.00 | 1.11 | 0.74 | 0.72 | 1.15 | 0.00 | 0.75 | -0.02 |
time (sec) |
N/A |
0.083 |
0.112 |
0.352 |
0.307 |
0.963 |
0.000 |
0.140 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 341 |
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 | 115 | 115 | 123 | 105 | 89 | 164 | 0 | 101 | -1 |
normalized size | 1 | 1.00 | 1.07 | 0.91 | 0.77 | 1.43 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A |
0.168 |
0.399 |
0.392 |
0.319 |
0.480 |
0.000 |
0.145 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 342 |
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 | 110 | 110 | 103 | 100 | 90 | 213 | 0 | 106 | -1 |
normalized size | 1 | 1.00 | 0.94 | 0.91 | 0.82 | 1.94 | 0.00 | 0.96 | -0.01 |
time (sec) |
N/A |
0.154 |
0.141 |
0.154 |
0.319 |
0.454 |
0.000 |
0.144 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 343 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 149 | 126 | 127 | 278 | 0 | 356 | -1 |
normalized size | 1 | 1.00 | 1.01 | 0.85 | 0.86 | 1.88 | 0.00 | 2.41 | -0.01 |
time (sec) |
N/A |
0.194 |
0.765 |
0.220 |
0.412 |
0.708 |
0.000 |
0.184 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 344 |
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 | 239 | 239 | 287 | 207 | 200 | 445 | 0 | 223 | -1 |
normalized size | 1 | 1.00 | 1.20 | 0.87 | 0.84 | 1.86 | 0.00 | 0.93 | -0.00 |
time (sec) |
N/A |
0.286 |
0.429 |
0.274 |
0.424 |
0.494 |
0.000 |
0.168 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 345 |
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 | 115 | 115 | 124 | 126 | 102 | 253 | 0 | 134 | -1 |
normalized size | 1 | 1.00 | 1.08 | 1.10 | 0.89 | 2.20 | 0.00 | 1.17 | -0.01 |
time (sec) |
N/A |
0.225 |
0.313 |
0.132 |
0.335 |
0.562 |
0.000 |
0.137 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 346 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
C |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 220 | 158 | 143 | 334 | 0 | 390 | -1 |
normalized size | 1 | 1.00 | 1.37 | 0.98 | 0.89 | 2.07 | 0.00 | 2.42 | -0.01 |
time (sec) |
N/A |
0.284 |
0.643 |
0.213 |
0.428 |
0.429 |
0.000 |
0.199 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 347 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 257 | 257 | 354 | 265 | 228 | 541 | 0 | 285 | -1 |
normalized size | 1 | 1.00 | 1.38 | 1.03 | 0.89 | 2.11 | 0.00 | 1.11 | -0.00 |
time (sec) |
N/A |
0.477 |
0.777 |
0.257 |
0.425 |
0.518 |
0.000 |
0.186 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 348 |
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 | 133 | 133 | 104 | 117 | 105 | 217 | 0 | 132 | -1 |
normalized size | 1 | 1.00 | 0.78 | 0.88 | 0.79 | 1.63 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A |
0.198 |
0.162 |
0.136 |
0.319 |
0.506 |
0.000 |
0.146 |
0.000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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Problem 349 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 131 | 139 | 131 | 244 | 0 | 150 | -1 |
normalized size | 1 | 1.00 | 0.81 | 0.86 | 0.81 | 1.52 | 0.00 | 0.93 | -0.01 |
time (sec) |
N/A |
0.226 |
0.266 |
0.168 |
0.318 |
0.515 |
0.000 |
0.159 |
0.000 |
|
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Problem 350 |
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 | 271 | 271 | 214 | 234 | 211 | 427 | 0 | 264 | -1 |
normalized size | 1 | 1.00 | 0.79 | 0.86 | 0.78 | 1.58 | 0.00 | 0.97 | -0.00 |
time (sec) |
N/A |
0.345 |
0.463 |
0.207 |
0.326 |
0.513 |
0.000 |
0.160 |
0.000 |
|
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Problem 351 |
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 | 81 | 81 | 76 | 70 | 69 | 146 | 0 | 75 | -1 |
normalized size | 1 | 1.00 | 0.94 | 0.86 | 0.85 | 1.80 | 0.00 | 0.93 | -0.01 |
time (sec) |
N/A |
0.170 |
0.351 |
0.117 |
0.321 |
0.433 |
0.000 |
0.155 |
0.000 |
|
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Problem 352 |
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 | 128 | 128 | 179 | 101 | 100 | 254 | 0 | 107 | -1 |
normalized size | 1 | 1.00 | 1.40 | 0.79 | 0.78 | 1.98 | 0.00 | 0.84 | -0.01 |
time (sec) |
N/A |
0.204 |
0.537 |
0.153 |
0.323 |
0.420 |
0.000 |
0.141 |
0.000 |
|
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Problem 353 |
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 | 171 | 171 | 272 | 144 | 143 | 492 | 0 | 155 | -1 |
normalized size | 1 | 1.00 | 1.59 | 0.84 | 0.84 | 2.88 | 0.00 | 0.91 | -0.01 |
time (sec) |
N/A |
0.300 |
1.226 |
0.213 |
0.328 |
0.738 |
0.000 |
0.155 |
0.000 |
|
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Problem 354 |
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 | 140 | 140 | 166 | 147 | 127 | 322 | 0 | 172 | -1 |
normalized size | 1 | 1.00 | 1.19 | 1.05 | 0.91 | 2.30 | 0.00 | 1.23 | -0.01 |
time (sec) |
N/A |
0.321 |
0.742 |
0.156 |
0.323 |
0.485 |
0.000 |
0.141 |
0.000 |
|
|
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Problem 355 |
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 | 183 | 183 | 258 | 177 | 161 | 422 | 0 | 198 | -1 |
normalized size | 1 | 1.00 | 1.41 | 0.97 | 0.88 | 2.31 | 0.00 | 1.08 | -0.01 |
time (sec) |
N/A |
0.334 |
1.464 |
0.181 |
0.416 |
0.657 |
0.000 |
0.177 |
0.000 |
|
|
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Problem 356 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 300 | 300 | 480 | 302 | 263 | 848 | 0 | 352 | -1 |
normalized size | 1 | 1.00 | 1.60 | 1.01 | 0.88 | 2.83 | 0.00 | 1.17 | -0.00 |
time (sec) |
N/A |
0.587 |
5.936 |
0.276 |
0.346 |
0.606 |
0.000 |
0.181 |
0.000 |
|
|
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Problem 357 |
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 | 153 | 153 | 135 | 156 | 129 | 263 | 0 | 169 | -1 |
normalized size | 1 | 1.00 | 0.88 | 1.02 | 0.84 | 1.72 | 0.00 | 1.10 | -0.01 |
time (sec) |
N/A |
0.301 |
0.339 |
0.145 |
0.338 |
0.676 |
0.000 |
0.150 |
0.000 |
|
|
|
|
|
|
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|
Problem 358 |
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 | 219 | 219 | 183 | 211 | 185 | 343 | 0 | 225 | -1 |
normalized size | 1 | 1.00 | 0.84 | 0.96 | 0.84 | 1.57 | 0.00 | 1.03 | -0.00 |
time (sec) |
N/A |
0.364 |
0.626 |
0.218 |
0.337 |
0.585 |
0.000 |
0.164 |
0.000 |
|
|
|
|
|
|
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|
Problem 359 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 315 | 315 | 263 | 316 | 263 | 527 | 0 | 343 | -1 |
normalized size | 1 | 1.00 | 0.83 | 1.00 | 0.83 | 1.67 | 0.00 | 1.09 | -0.00 |
time (sec) |
N/A |
0.462 |
1.020 |
0.240 |
0.373 |
0.646 |
0.000 |
0.181 |
0.000 |
|
|
|
|
|
|
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|
|
Problem 360 |
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 | 154 | 154 | 179 | 160 | 139 | 325 | 0 | 181 | -1 |
normalized size | 1 | 1.00 | 1.16 | 1.04 | 0.90 | 2.11 | 0.00 | 1.18 | -0.01 |
time (sec) |
N/A |
0.332 |
0.811 |
0.180 |
0.327 |
0.491 |
0.000 |
0.154 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 361 |
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 | 225 | 225 | 257 | 217 | 199 | 466 | 0 | 239 | -1 |
normalized size | 1 | 1.00 | 1.14 | 0.96 | 0.88 | 2.07 | 0.00 | 1.06 | -0.00 |
time (sec) |
N/A |
0.395 |
2.275 |
0.220 |
0.330 |
0.561 |
0.000 |
0.170 |
0.000 |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 362 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 323 | 323 | 2511 | 326 | 287 | 852 | 0 | 369 | -1 |
normalized size | 1 | 1.00 | 7.77 | 1.01 | 0.89 | 2.64 | 0.00 | 1.14 | -0.00 |
time (sec) |
N/A |
0.530 |
6.517 |
0.291 |
0.344 |
1.720 |
0.000 |
0.192 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
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|
|
Problem 363 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 161 | 161 | 252 | 186 | 151 | 363 | 0 | 209 | -1 |
normalized size | 1 | 1.00 | 1.57 | 1.16 | 0.94 | 2.25 | 0.00 | 1.30 | -0.01 |
time (sec) |
N/A |
0.449 |
1.555 |
0.170 |
0.364 |
0.982 |
0.000 |
0.220 |
0.000 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 364 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 239 | 239 | 339 | 249 | 215 | 516 | 0 | 273 | -1 |
normalized size | 1 | 1.00 | 1.42 | 1.04 | 0.90 | 2.16 | 0.00 | 1.14 | -0.00 |
time (sec) |
N/A |
0.546 |
6.234 |
0.217 |
0.360 |
0.496 |
0.000 |
0.202 |
0.000 |
|
|
|
|
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|
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|
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|
Problem 365 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
B |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 344 | 344 | 2991 | 384 | 315 | 940 | 0 | 431 | -1 |
normalized size | 1 | 1.00 | 8.69 | 1.12 | 0.92 | 2.73 | 0.00 | 1.25 | -0.00 |
time (sec) |
N/A |
0.779 |
6.652 |
0.299 |
0.408 |
0.705 |
0.000 |
0.203 |
0.000 |
|
|
|
|
|
|
|
|
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|
|
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|
Problem 366 |
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 | 30 | 30 | 30 | 25 | 35 | 22 | 41 | 35 | 24 |
normalized size | 1 | 1.00 | 1.00 | 0.83 | 1.17 | 0.73 | 1.37 | 1.17 | 0.80 |
time (sec) |
N/A |
0.038 |
0.057 |
0.021 |
0.325 |
0.546 |
0.179 |
0.134 |
0.598 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
Problem 367 |
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 | 56 | 56 | 48 | 52 | 81 | 58 | 85 | 75 | 46 |
normalized size | 1 | 1.00 | 0.86 | 0.93 | 1.45 | 1.04 | 1.52 | 1.34 | 0.82 |
time (sec) |
N/A |
0.077 |
0.087 |
0.023 |
0.348 |
0.460 |
0.323 |
0.129 |
0.082 |
|
|
|
|
|
|
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|
|
Problem 368 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
B |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 213 | 213 | 180 | 212 | 0 | 316 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.85 | 1.00 | 0.00 | 1.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.556 |
0.327 |
0.069 |
0.000 |
0.457 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
|
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|
|
Problem 369 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Mupad |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
B |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 271 | 271 | 248 | 376 | 0 | 671 | 0 | 0 | -1 |
normalized size | 1 | 1.00 | 0.92 | 1.39 | 0.00 | 2.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A |
0.809 |
0.537 |
0.067 |
0.000 |
0.539 |
0.000 |
0.000 |
0.000 |
|
|
|
|
|
|
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|
|
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 [320] had the largest ratio of
[1.500]
|
|
|
|
|
|
|
| Table 2.1:Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
1 |
1 |
1.00 |
6 |
0.167 |
|
|
|
|
|
|
|
2 |
A |
2 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
3 |
A |
2 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
4 |
A |
3 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
5 |
A |
2 |
1 |
1.00 |
8 |
0.125 |
|
|
|
|
|
|
|
6 |
A |
4 |
2 |
1.00 |
8 |
0.250 |
|
|
|
|
|
|
|
7 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
8 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
9 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
10 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
11 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
12 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
13 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
14 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
15 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
16 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
17 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
18 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
19 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
20 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
21 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
22 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
23 |
A |
3 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
24 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
25 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
26 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
27 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
28 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
29 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
30 |
A |
3 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
31 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
32 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
33 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
34 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
35 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
36 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
37 |
A |
1 |
1 |
1.00 |
10 |
0.100 |
|
|
|
|
|
|
|
38 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
39 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
40 |
A |
6 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
41 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
42 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
43 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
44 |
A |
3 |
3 |
1.00 |
11 |
0.273 |
|
|
|
|
|
|
|
45 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
46 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
47 |
A |
6 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
48 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
49 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
51 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
52 |
A |
4 |
4 |
1.00 |
11 |
0.364 |
|
|
|
|
|
|
|
53 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
54 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
55 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
56 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
57 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
58 |
A |
3 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
59 |
A |
4 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
60 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
61 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
62 |
A |
3 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
63 |
A |
4 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
64 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
65 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
66 |
A |
3 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
67 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
68 |
A |
1 |
1 |
1.00 |
17 |
0.059 |
|
|
|
|
|
|
|
69 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
70 |
A |
3 |
3 |
1.00 |
17 |
0.176 |
|
|
|
|
|
|
|
71 |
A |
4 |
3 |
1.00 |
17 |
0.176 |
|
|
|
|
|
|
|
72 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
73 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
74 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
75 |
A |
4 |
4 |
1.00 |
11 |
0.364 |
|
|
|
|
|
|
|
76 |
A |
5 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
77 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
78 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
79 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
80 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
81 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
82 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
83 |
A |
5 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
84 |
A |
6 |
6 |
1.00 |
11 |
0.546 |
|
|
|
|
|
|
|
85 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
86 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
87 |
A |
9 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
88 |
A |
4 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
89 |
A |
6 |
5 |
1.00 |
14 |
0.357 |
|
|
|
|
|
|
|
90 |
A |
7 |
6 |
1.00 |
14 |
0.429 |
|
|
|
|
|
|
|
91 |
A |
8 |
6 |
1.00 |
14 |
0.429 |
|
|
|
|
|
|
|
92 |
A |
1 |
1 |
1.00 |
14 |
0.071 |
|
|
|
|
|
|
|
93 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
94 |
A |
4 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
95 |
A |
5 |
4 |
1.00 |
14 |
0.286 |
|
|
|
|
|
|
|
96 |
A |
4 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
97 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
98 |
A |
2 |
2 |
1.00 |
12 |
0.167 |
|
|
|
|
|
|
|
99 |
A |
1 |
1 |
1.00 |
12 |
0.083 |
|
|
|
|
|
|
|
100 |
A |
2 |
1 |
1.00 |
10 |
0.100 |
|
|
|
|
|
|
|
101 |
A |
3 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
102 |
A |
5 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
103 |
A |
6 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
104 |
A |
7 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
105 |
A |
7 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
106 |
A |
6 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
107 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
108 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
109 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
110 |
A |
7 |
7 |
1.00 |
10 |
0.700 |
|
|
|
|
|
|
|
111 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
112 |
A |
4 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
113 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
114 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
115 |
A |
2 |
2 |
1.00 |
15 |
0.133 |
|
|
|
|
|
|
|
116 |
A |
2 |
2 |
1.00 |
15 |
0.133 |
|
|
|
|
|
|
|
117 |
A |
3 |
3 |
1.00 |
15 |
0.200 |
|
|
|
|
|
|
|
118 |
A |
4 |
3 |
1.00 |
15 |
0.200 |
|
|
|
|
|
|
|
119 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
120 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
121 |
A |
3 |
3 |
1.00 |
17 |
0.176 |
|
|
|
|
|
|
|
122 |
A |
4 |
3 |
1.00 |
17 |
0.176 |
|
|
|
|
|
|
|
123 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
124 |
A |
3 |
3 |
1.00 |
20 |
0.150 |
|
|
|
|
|
|
|
125 |
A |
4 |
4 |
1.00 |
20 |
0.200 |
|
|
|
|
|
|
|
126 |
A |
8 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
127 |
A |
7 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
128 |
A |
6 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
129 |
A |
4 |
4 |
1.00 |
15 |
0.267 |
|
|
|
|
|
|
|
130 |
A |
5 |
5 |
1.00 |
15 |
0.333 |
|
|
|
|
|
|
|
131 |
A |
6 |
5 |
1.00 |
15 |
0.333 |
|
|
|
|
|
|
|
132 |
A |
7 |
5 |
1.00 |
15 |
0.333 |
|
|
|
|
|
|
|
133 |
A |
4 |
4 |
1.00 |
20 |
0.200 |
|
|
|
|
|
|
|
134 |
A |
2 |
2 |
1.00 |
20 |
0.100 |
|
|
|
|
|
|
|
135 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
|
|
|
|
|
|
|
136 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
137 |
A |
5 |
5 |
1.00 |
17 |
0.294 |
|
|
|
|
|
|
|
138 |
A |
6 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
139 |
A |
7 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
140 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
141 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
142 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
143 |
A |
2 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
144 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
145 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
146 |
A |
7 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
147 |
A |
5 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
148 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
149 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
150 |
A |
5 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
151 |
A |
7 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
152 |
A |
7 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
153 |
A |
5 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
154 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
155 |
A |
3 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
156 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
157 |
A |
3 |
2 |
1.00 |
10 |
0.200 |
|
|
|
|
|
|
|
158 |
A |
5 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
159 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
160 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
161 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
162 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
163 |
A |
2 |
1 |
1.00 |
13 |
0.077 |
|
|
|
|
|
|
|
164 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
165 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
166 |
A |
4 |
3 |
1.00 |
11 |
0.273 |
|
|
|
|
|
|
|
167 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
168 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
169 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
170 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
171 |
A |
4 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
172 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
173 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
174 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
175 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
176 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
177 |
A |
4 |
3 |
1.00 |
11 |
0.273 |
|
|
|
|
|
|
|
178 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
179 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
180 |
A |
4 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
181 |
A |
3 |
2 |
1.00 |
15 |
0.133 |
|
|
|
|
|
|
|
182 |
A |
1 |
1 |
1.00 |
15 |
0.067 |
|
|
|
|
|
|
|
183 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
184 |
A |
3 |
2 |
1.00 |
15 |
0.133 |
|
|
|
|
|
|
|
185 |
A |
1 |
1 |
1.00 |
15 |
0.067 |
|
|
|
|
|
|
|
186 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
187 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
188 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
189 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
190 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
191 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
192 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
193 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
194 |
A |
6 |
6 |
1.00 |
11 |
0.546 |
|
|
|
|
|
|
|
195 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
196 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
197 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
198 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
199 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
200 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
201 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
202 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
203 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
204 |
A |
7 |
6 |
1.00 |
11 |
0.546 |
|
|
|
|
|
|
|
205 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
206 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
207 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
208 |
A |
6 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
209 |
A |
6 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
210 |
A |
5 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
211 |
A |
5 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
212 |
A |
4 |
4 |
1.00 |
11 |
0.364 |
|
|
|
|
|
|
|
213 |
A |
4 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
214 |
A |
5 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
215 |
A |
5 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
216 |
A |
5 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
217 |
A |
6 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
218 |
A |
10 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
219 |
A |
4 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
220 |
A |
10 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
221 |
A |
4 |
3 |
1.00 |
11 |
0.273 |
|
|
|
|
|
|
|
222 |
A |
3 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
223 |
A |
7 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
224 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
225 |
A |
9 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
226 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
227 |
A |
11 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
228 |
A |
13 |
9 |
1.00 |
13 |
0.692 |
|
|
|
|
|
|
|
229 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
230 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
231 |
A |
6 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
232 |
A |
4 |
4 |
1.00 |
11 |
0.364 |
|
|
|
|
|
|
|
233 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
234 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
235 |
A |
7 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
236 |
A |
16 |
9 |
1.00 |
13 |
0.692 |
|
|
|
|
|
|
|
237 |
A |
7 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
238 |
A |
13 |
9 |
1.00 |
13 |
0.692 |
|
|
|
|
|
|
|
239 |
A |
6 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
240 |
A |
3 |
2 |
1.00 |
11 |
0.182 |
|
|
|
|
|
|
|
241 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
242 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
243 |
A |
8 |
7 |
1.00 |
13 |
0.538 |
|
|
|
|
|
|
|
244 |
A |
4 |
4 |
1.00 |
13 |
0.308 |
|
|
|
|
|
|
|
245 |
A |
3 |
3 |
1.00 |
13 |
0.231 |
|
|
|
|
|
|
|
246 |
A |
7 |
6 |
1.00 |
15 |
0.400 |
|
|
|
|
|
|
|
247 |
A |
5 |
4 |
1.00 |
15 |
0.267 |
|
|
|
|
|
|
|
248 |
A |
5 |
4 |
1.00 |
17 |
0.235 |
|
|
|
|
|
|
|
249 |
A |
11 |
9 |
1.00 |
15 |
0.600 |
|
|
|
|
|
|
|
250 |
A |
9 |
8 |
1.00 |
15 |
0.533 |
|
|
|
|
|
|
|
251 |
A |
12 |
11 |
1.00 |
15 |
0.733 |
|
|
|
|
|
|
|
252 |
A |
6 |
6 |
1.00 |
15 |
0.400 |
|
|
|
|
|
|
|
253 |
A |
7 |
7 |
1.00 |
31 |
0.226 |
|
|
|
|
|
|
|
254 |
A |
8 |
8 |
1.00 |
31 |
0.258 |
|
|
|
|
|
|
|
255 |
A |
9 |
8 |
1.00 |
31 |
0.258 |
|
|
|
|
|
|
|
256 |
A |
10 |
8 |
1.00 |
31 |
0.258 |
|
|
|
|
|
|
|
257 |
A |
13 |
8 |
1.00 |
14 |
0.571 |
|
|
|
|
|
|
|
258 |
A |
11 |
7 |
1.00 |
14 |
0.500 |
|
|
|
|
|
|
|
259 |
A |
9 |
6 |
1.00 |
12 |
0.500 |
|
|
|
|
|
|
|
260 |
A |
13 |
5 |
1.00 |
20 |
0.250 |
|
|
|
|
|
|
|
261 |
A |
5 |
3 |
1.00 |
36 |
0.083 |
|
|
|
|
|
|
|
262 |
A |
4 |
3 |
1.00 |
36 |
0.083 |
|
|
|
|
|
|
|
263 |
A |
2 |
2 |
1.00 |
34 |
0.059 |
|
|
|
|
|
|
|
264 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
265 |
A |
0 |
0 |
0.00 |
0 |
0.000 |
|
|
|
|
|
|
|
266 |
A |
1 |
1 |
1.00 |
11 |
0.091 |
|
|
|
|
|
|
|
267 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
268 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
269 |
A |
3 |
2 |
1.00 |
13 |
0.154 |
|
|
|
|
|
|
|
270 |
A |
1 |
1 |
1.00 |
15 |
0.067 |
|
|
|
|
|
|
|
271 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
272 |
A |
2 |
2 |
0.97 |
17 |
0.118 |
|
|
|
|
|
|
|
273 |
A |
3 |
2 |
0.98 |
17 |
0.118 |
|
|
|
|
|
|
|
274 |
A |
2 |
1 |
1.00 |
15 |
0.067 |
|
|
|
|
|
|
|
275 |
A |
3 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
276 |
A |
3 |
1 |
1.00 |
17 |
0.059 |
|
|
|
|
|
|
|
277 |
A |
4 |
2 |
1.00 |
17 |
0.118 |
|
|
|
|
|
|
|
278 |
A |
3 |
1 |
1.00 |
17 |
0.059 |
|
|
|
|
|
|
|
279 |
A |
4 |
3 |
1.00 |
19 |
0.158 |
|
|
|
|
|
|
|
280 |
A |
4 |
3 |
1.00 |
19 |
0.158 |
|
|
|
|
|
|
|
281 |
A |
3 |
2 |
1.00 |
19 |
0.105 |
|
|
|
|
|
|
|
282 |
A |
3 |
2 |
1.00 |
19 |
0.105 |
|
|
|
|
|
|
|
283 |
A |
4 |
3 |
1.00 |
19 |
0.158 |
|
|
|
|
|
|
|
284 |
A |
4 |
3 |
1.00 |
19 |
0.158 |
|
|
|
|
|
|
|
285 |
A |
8 |
8 |
1.00 |
18 |
0.444 |
|
|
|
|
|
|
|
286 |
A |
6 |
6 |
1.00 |
18 |
0.333 |
|
|
|
|
|
|
|
287 |
A |
3 |
3 |
1.00 |
18 |
0.167 |
|
|
|
|
|
|
|
288 |
A |
4 |
4 |
1.00 |
18 |
0.222 |
|
|
|
|
|
|
|
289 |
A |
4 |
4 |
1.00 |
10 |
0.400 |
|
|
|
|
|
|
|
290 |
A |
5 |
5 |
1.00 |
12 |
0.417 |
|
|
|
|
|
|
|
291 |
A |
6 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
292 |
A |
5 |
5 |
1.00 |
11 |
0.454 |
|
|
|
|
|
|
|
293 |
A |
6 |
6 |
1.00 |
13 |
0.462 |
|
|
|
|
|
|
|
294 |
A |
9 |
5 |
1.00 |
13 |
0.385 |
|
|
|
|
|
|
|
295 |
A |
5 |
5 |
1.00 |
14 |
0.357 |
|
|
|
|
|
|
|
296 |
A |
6 |
6 |
1.00 |
16 |
0.375 |
|
|
|
|
|
|
|
297 |
A |
9 |
5 |
1.00 |
16 |
0.312 |
|
|
|
|
|
|
|
298 |
A |
6 |
6 |
1.00 |
17 |
0.353 |
|
|
|
|
|
|
|
299 |
A |
7 |
7 |
1.00 |
19 |
0.368 |
|
|
|
|
|
|
|
300 |
A |
10 |
6 |
1.00 |
19 |
0.316 |
|
|
|
|
|
|
|
301 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
302 |
A |
5 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
303 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
304 |
A |
4 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
305 |
A |
3 |
3 |
1.00 |
14 |
0.214 |
|
|
|
|
|
|
|
306 |
A |
4 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
307 |
A |
3 |
3 |
1.00 |
16 |
0.188 |
|
|
|
|
|
|
|
308 |
A |
6 |
5 |
1.00 |
16 |
0.312 |
|
|
|
|
|
|
|
309 |
A |
5 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
310 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
311 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
312 |
A |
5 |
5 |
1.00 |
8 |
0.625 |
|
|
|
|
|
|
|
313 |
A |
6 |
6 |
1.00 |
10 |
0.600 |
|
|
|
|
|
|
|
314 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
315 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
316 |
A |
9 |
9 |
1.00 |
8 |
1.125 |
|
|
|
|
|
|
|
317 |
A |
13 |
9 |
1.00 |
10 |
0.900 |
|
|
|
|
|
|
|
318 |
A |
4 |
3 |
1.00 |
10 |
0.300 |
|
|
|
|
|
|
|
319 |
A |
4 |
3 |
1.00 |
8 |
0.375 |
|
|
|
|
|
|
|
320 |
A |
15 |
12 |
1.00 |
8 |
1.500 |
|
|
|
|
|
|
|
321 |
A |
16 |
13 |
1.00 |
10 |
1.300 |
|
|
|
|
|
|
|
322 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
323 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
324 |
A |
1 |
1 |
1.00 |
16 |
0.062 |
|
|
|
|
|
|
|
325 |
A |
1 |
1 |
1.00 |
16 |
0.062 |
|
|
|
|
|
|
|
326 |
A |
1 |
1 |
1.00 |
18 |
0.056 |
|
|
|
|
|
|
|
327 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
328 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
|
|
|
|
|
|
|
329 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
330 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
331 |
A |
5 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
332 |
A |
4 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
333 |
A |
4 |
4 |
1.00 |
25 |
0.160 |
|
|
|
|
|
|
|
334 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
335 |
A |
6 |
5 |
1.00 |
25 |
0.200 |
|
|
|
|
|
|
|
336 |
A |
1 |
1 |
1.00 |
10 |
0.100 |
|
|
|
|
|
|
|
337 |
A |
6 |
4 |
1.00 |
12 |
0.333 |
|
|
|
|
|
|
|
338 |
A |
6 |
4 |
1.00 |
15 |
0.267 |
|
|
|
|
|
|
|
339 |
A |
6 |
3 |
1.00 |
12 |
0.250 |
|
|
|
|
|
|
|
340 |
A |
4 |
2 |
1.00 |
14 |
0.143 |
|
|
|
|
|
|
|
341 |
A |
6 |
3 |
1.00 |
17 |
0.176 |
|
|
|
|
|
|
|
342 |
A |
8 |
5 |
1.00 |
16 |
0.312 |
|
|
|
|
|
|
|
343 |
A |
9 |
6 |
1.00 |
18 |
0.333 |
|
|
|
|
|
|
|
344 |
A |
14 |
5 |
1.00 |
18 |
0.278 |
|
|
|
|
|
|
|
345 |
A |
8 |
5 |
1.00 |
19 |
0.263 |
|
|
|
|
|
|
|
346 |
A |
9 |
6 |
1.00 |
21 |
0.286 |
|
|
|
|
|
|
|
347 |
A |
14 |
5 |
1.00 |
21 |
0.238 |
|
|
|
|
|
|
|
348 |
A |
8 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
349 |
A |
9 |
4 |
1.00 |
18 |
0.222 |
|
|
|
|
|
|
|
350 |
A |
14 |
4 |
1.00 |
18 |
0.222 |
|
|
|
|
|
|
|
351 |
A |
6 |
4 |
1.00 |
18 |
0.222 |
|
|
|
|
|
|
|
352 |
A |
7 |
4 |
1.00 |
20 |
0.200 |
|
|
|
|
|
|
|
353 |
A |
10 |
4 |
1.00 |
20 |
0.200 |
|
|
|
|
|
|
|
354 |
A |
8 |
5 |
1.00 |
21 |
0.238 |
|
|
|
|
|
|
|
355 |
A |
9 |
5 |
1.00 |
23 |
0.217 |
|
|
|
|
|
|
|
356 |
A |
14 |
5 |
1.00 |
23 |
0.217 |
|
|
|
|
|
|
|
357 |
A |
8 |
4 |
1.00 |
19 |
0.210 |
|
|
|
|
|
|
|
358 |
A |
10 |
4 |
1.00 |
21 |
0.190 |
|
|
|
|
|
|
|
359 |
A |
14 |
4 |
1.00 |
21 |
0.190 |
|
|
|
|
|
|
|
360 |
A |
8 |
5 |
1.00 |
21 |
0.238 |
|
|
|
|
|
|
|
361 |
A |
10 |
5 |
1.00 |
23 |
0.217 |
|
|
|
|
|
|
|
362 |
A |
14 |
5 |
1.00 |
23 |
0.217 |
|
|
|
|
|
|
|
363 |
A |
8 |
5 |
1.00 |
24 |
0.208 |
|
|
|
|
|
|
|
364 |
A |
10 |
5 |
1.00 |
26 |
0.192 |
|
|
|
|
|
|
|
365 |
A |
14 |
5 |
1.00 |
26 |
0.192 |
|
|
|
|
|
|
|
366 |
A |
6 |
5 |
1.00 |
6 |
0.833 |
|
|
|
|
|
|
|
367 |
A |
9 |
6 |
1.00 |
6 |
1.000 |
|
|
|
|
|
|
|
368 |
A |
8 |
4 |
1.00 |
16 |
0.250 |
|
|
|
|
|
|
|
369 |
A |
8 |
4 |
1.00 |
19 |
0.210 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|